Direct product G=N×Q with N=C6 and Q=C24
Semidirect products G=N:Q with N=C6 and Q=C24
Non-split extensions G=N.Q with N=C6 and Q=C24
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1C24 = C22×Dic6 | φ: C24/C23 → C2 ⊆ Aut C6 | 96 | | C6.1C2^4 | 96,205 |
| C6.2C24 = S3×C22×C4 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.2C2^4 | 96,206 |
| C6.3C24 = C22×D12 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.3C2^4 | 96,207 |
| C6.4C24 = C2×C4○D12 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.4C2^4 | 96,208 |
| C6.5C24 = C2×S3×D4 | φ: C24/C23 → C2 ⊆ Aut C6 | 24 | | C6.5C2^4 | 96,209 |
| C6.6C24 = C2×D4⋊2S3 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.6C2^4 | 96,210 |
| C6.7C24 = D4⋊6D6 | φ: C24/C23 → C2 ⊆ Aut C6 | 24 | 4 | C6.7C2^4 | 96,211 |
| C6.8C24 = C2×S3×Q8 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.8C2^4 | 96,212 |
| C6.9C24 = C2×Q8⋊3S3 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.9C2^4 | 96,213 |
| C6.10C24 = Q8.15D6 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | 4 | C6.10C2^4 | 96,214 |
| C6.11C24 = S3×C4○D4 | φ: C24/C23 → C2 ⊆ Aut C6 | 24 | 4 | C6.11C2^4 | 96,215 |
| C6.12C24 = D4○D12 | φ: C24/C23 → C2 ⊆ Aut C6 | 24 | 4+ | C6.12C2^4 | 96,216 |
| C6.13C24 = Q8○D12 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | 4- | C6.13C2^4 | 96,217 |
| C6.14C24 = C23×Dic3 | φ: C24/C23 → C2 ⊆ Aut C6 | 96 | | C6.14C2^4 | 96,218 |
| C6.15C24 = C22×C3⋊D4 | φ: C24/C23 → C2 ⊆ Aut C6 | 48 | | C6.15C2^4 | 96,219 |
| C6.16C24 = D4×C2×C6 | central extension (φ=1) | 48 | | C6.16C2^4 | 96,221 |
| C6.17C24 = Q8×C2×C6 | central extension (φ=1) | 96 | | C6.17C2^4 | 96,222 |
| C6.18C24 = C6×C4○D4 | central extension (φ=1) | 48 | | C6.18C2^4 | 96,223 |
| C6.19C24 = C3×2+ 1+4 | central extension (φ=1) | 24 | 4 | C6.19C2^4 | 96,224 |
| C6.20C24 = C3×2- 1+4 | central extension (φ=1) | 48 | 4 | C6.20C2^4 | 96,225 |
×
⋊
ℤ
𝔽
○
≀
ℚ
◁