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The center of a semi-dihedral group is always cyclic, but the order depends upon whether is odd or even. For odd , the center has order .
For even , the center has order .
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| (11) |
The permutation representation used in Maple is always transitive, but imprimitive.
| (14) |
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Use the form = "fpgroup" option to construct a finitely presented semi-dihedral group.
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Note that dihedral and semi-dihedral groups of the same order are non-isomorphic.
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C
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1a
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2a
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2b
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2c
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4a
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4b
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4c
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4d
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5a
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5b
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10a
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10b
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20a
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20b
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20c
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20d
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1
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1
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5
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5
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1
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1
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5
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5
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2
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2
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2
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2
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2
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2
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2
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2
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| (22) |
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