| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C32⋊C6 | 36 | 6 | C6xC3^2:C6 | 324,138 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×C32⋊C6) = S3×C32⋊C6 | φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C3 | 18 | 12+ | C3:1(C2xC3^2:C6) | 324,116 |
| C3⋊2(C2×C32⋊C6) = C2×He3⋊4S3 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C3 | 54 | C3:2(C2xC3^2:C6) | 324,144 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C2×C32⋊C6) = C2×C32⋊D9 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C3 | 54 | C3.1(C2xC3^2:C6) | 324,63 | |
| C3.2(C2×C32⋊C6) = C2×C33⋊C6 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C3 | 18 | 6+ | C3.2(C2xC3^2:C6) | 324,69 |
| C3.3(C2×C32⋊C6) = C2×He3.S3 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C3 | 54 | 6+ | C3.3(C2xC3^2:C6) | 324,71 |
| C3.4(C2×C32⋊C6) = C2×He3.2S3 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C3 | 54 | 6+ | C3.4(C2xC3^2:C6) | 324,73 |
| C3.5(C2×C32⋊C6) = C2×C32⋊C18 | central extension (φ=1) | 36 | 6 | C3.5(C2xC3^2:C6) | 324,62 |
| C3.6(C2×C32⋊C6) = C2×C3≀S3 | central stem extension (φ=1) | 18 | 3 | C3.6(C2xC3^2:C6) | 324,68 |
| C3.7(C2×C32⋊C6) = C2×He3.C6 | central stem extension (φ=1) | 54 | 3 | C3.7(C2xC3^2:C6) | 324,70 |
| C3.8(C2×C32⋊C6) = C2×He3.2C6 | central stem extension (φ=1) | 54 | 3 | C3.8(C2xC3^2:C6) | 324,72 |