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The smallest of the Suzuki groups is a non-simple group of order that is, in fact, a soluble Frobenius group.
>
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| (5) |
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For values of larger than , the group is simple.
>
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| (11) |
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C
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1a
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2a
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4a
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4b
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5a
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7a
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7b
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7c
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13a
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13b
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13c
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|C|
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1
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455
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1820
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1820
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5824
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4160
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4160
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4160
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2240
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2240
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2240
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For non-numeric arguments, a symbolic group is returned.
A symbolic group is also returned if the numeric argument q exceeds .
| (16) |
| (17) |
>
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| (18) |