AtlasRep Info for 3.J3
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→ ATLAS page for 3.J3
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→ Overview of Groups
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Representations for G = 3.J3: (all refer to std. generators 1)
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| 1 |
G ≤ GL(9a,4) |
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| 2 |
G ≤ GL(18a,4) |
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| 3 |
G ≤ GL(18b,4) |
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| 4 |
G ≤ GL(126a,4) |
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| 5 |
G ≤ GL(153a,4) |
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| 6 |
G ≤ GL(153b,4) |
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| 7 |
G ≤ GL(324a,4) |
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| 8 |
G ≤ GL(720a,4) |
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| 9 |
G ≤ GL(1008a,4) |
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| 10 |
G ≤ GL(36,5) |
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| 11 |
G ≤ GL(36a,17) |
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| 12 |
G ≤ GL(36b,17) |
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| 13 |
G ≤ GL(342a,17) |
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| 14 |
G ≤ GL(648a,17) |
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| 15 |
G ≤ GL(18a,19) |
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| 16 |
G ≤ GL(18b,19) |
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| 17 |
G ≤ GL(18,25) |
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| 18 |
G ≤ GL(153,25) |
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| 19 |
G ≤ GL(171a,25) |
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Programs for G = 3.J3: (all refer to std. generators 1)
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maxes (all 9):
| 1 |
3 × L2(16).2 |
| 2 |
3 × L2(19) |
| 3 |
3 × L2(19) |
| 4 |
3 × 24:(3 × A5) |
| 5 |
3 × L2(17) |
| 6 |
3 × (3 × A6):22 |
| 7 |
33.31+2:8 |
| 8 |
3 × 21+4−:A5 |
| 9 |
3 × 22+4:(3 × S3) |
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presentation:
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std. gen. checker: