Direct product G=N×Q with N=C6 and Q=C23
Semidirect products G=N:Q with N=C6 and Q=C23
Non-split extensions G=N.Q with N=C6 and Q=C23
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1C23 = C2×Dic6 | φ: C23/C22 → C2 ⊆ Aut C6 | 48 | | C6.1C2^3 | 48,34 |
| C6.2C23 = S3×C2×C4 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | | C6.2C2^3 | 48,35 |
| C6.3C23 = C2×D12 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | | C6.3C2^3 | 48,36 |
| C6.4C23 = C4○D12 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | 2 | C6.4C2^3 | 48,37 |
| C6.5C23 = S3×D4 | φ: C23/C22 → C2 ⊆ Aut C6 | 12 | 4+ | C6.5C2^3 | 48,38 |
| C6.6C23 = D4⋊2S3 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | 4- | C6.6C2^3 | 48,39 |
| C6.7C23 = S3×Q8 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | 4- | C6.7C2^3 | 48,40 |
| C6.8C23 = Q8⋊3S3 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | 4+ | C6.8C2^3 | 48,41 |
| C6.9C23 = C22×Dic3 | φ: C23/C22 → C2 ⊆ Aut C6 | 48 | | C6.9C2^3 | 48,42 |
| C6.10C23 = C2×C3⋊D4 | φ: C23/C22 → C2 ⊆ Aut C6 | 24 | | C6.10C2^3 | 48,43 |
| C6.11C23 = C6×D4 | central extension (φ=1) | 24 | | C6.11C2^3 | 48,45 |
| C6.12C23 = C6×Q8 | central extension (φ=1) | 48 | | C6.12C2^3 | 48,46 |
| C6.13C23 = C3×C4○D4 | central extension (φ=1) | 24 | 2 | C6.13C2^3 | 48,47 |
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