Direct product G=N×Q with N=C6 and Q=C25
Semidirect products G=N:Q with N=C6 and Q=C25
Non-split extensions G=N.Q with N=C6 and Q=C25
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1C25 = C23×Dic6 | φ: C25/C24 → C2 ⊆ Aut C6 | 192 | | C6.1C2^5 | 192,1510 |
| C6.2C25 = S3×C23×C4 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.2C2^5 | 192,1511 |
| C6.3C25 = C23×D12 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.3C2^5 | 192,1512 |
| C6.4C25 = C22×C4○D12 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.4C2^5 | 192,1513 |
| C6.5C25 = C22×S3×D4 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | | C6.5C2^5 | 192,1514 |
| C6.6C25 = C22×D4⋊2S3 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.6C2^5 | 192,1515 |
| C6.7C25 = C2×D4⋊6D6 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | | C6.7C2^5 | 192,1516 |
| C6.8C25 = C22×S3×Q8 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.8C2^5 | 192,1517 |
| C6.9C25 = C22×Q8⋊3S3 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.9C2^5 | 192,1518 |
| C6.10C25 = C2×Q8.15D6 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.10C2^5 | 192,1519 |
| C6.11C25 = C2×S3×C4○D4 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | | C6.11C2^5 | 192,1520 |
| C6.12C25 = C2×D4○D12 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | | C6.12C2^5 | 192,1521 |
| C6.13C25 = C2×Q8○D12 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.13C2^5 | 192,1522 |
| C6.14C25 = C6.C25 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | 4 | C6.14C2^5 | 192,1523 |
| C6.15C25 = S3×2+ 1+4 | φ: C25/C24 → C2 ⊆ Aut C6 | 24 | 8+ | C6.15C2^5 | 192,1524 |
| C6.16C25 = D6.C24 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | 8- | C6.16C2^5 | 192,1525 |
| C6.17C25 = S3×2- 1+4 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | 8- | C6.17C2^5 | 192,1526 |
| C6.18C25 = D12.39C23 | φ: C25/C24 → C2 ⊆ Aut C6 | 48 | 8+ | C6.18C2^5 | 192,1527 |
| C6.19C25 = Dic3×C24 | φ: C25/C24 → C2 ⊆ Aut C6 | 192 | | C6.19C2^5 | 192,1528 |
| C6.20C25 = C23×C3⋊D4 | φ: C25/C24 → C2 ⊆ Aut C6 | 96 | | C6.20C2^5 | 192,1529 |
| C6.21C25 = D4×C22×C6 | central extension (φ=1) | 96 | | C6.21C2^5 | 192,1531 |
| C6.22C25 = Q8×C22×C6 | central extension (φ=1) | 192 | | C6.22C2^5 | 192,1532 |
| C6.23C25 = C2×C6×C4○D4 | central extension (φ=1) | 96 | | C6.23C2^5 | 192,1533 |
| C6.24C25 = C6×2+ 1+4 | central extension (φ=1) | 48 | | C6.24C2^5 | 192,1534 |
| C6.25C25 = C6×2- 1+4 | central extension (φ=1) | 96 | | C6.25C2^5 | 192,1535 |
| C6.26C25 = C3×C2.C25 | central extension (φ=1) | 48 | 4 | C6.26C2^5 | 192,1536 |
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