| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C6×C3⋊D4 | 72 | C3xC6xC3:D4 | 432,709 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×C3⋊D4) = C6×C3⋊D12 | φ: C6×C3⋊D4/C6×Dic3 → C2 ⊆ Aut C3 | 48 | C3:1(C6xC3:D4) | 432,656 | |
| C3⋊2(C6×C3⋊D4) = C3×S3×C3⋊D4 | φ: C6×C3⋊D4/C3×C3⋊D4 → C2 ⊆ Aut C3 | 24 | 4 | C3:2(C6xC3:D4) | 432,658 |
| C3⋊3(C6×C3⋊D4) = C6×D6⋊S3 | φ: C6×C3⋊D4/S3×C2×C6 → C2 ⊆ Aut C3 | 48 | C3:3(C6xC3:D4) | 432,655 | |
| C3⋊4(C6×C3⋊D4) = C6×C32⋊7D4 | φ: C6×C3⋊D4/C2×C62 → C2 ⊆ Aut C3 | 72 | C3:4(C6xC3:D4) | 432,719 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C6×C3⋊D4) = C6×C9⋊D4 | φ: C6×C3⋊D4/C2×C62 → C2 ⊆ Aut C3 | 72 | C3.1(C6xC3:D4) | 432,374 | |
| C3.2(C6×C3⋊D4) = C2×He3⋊6D4 | φ: C6×C3⋊D4/C2×C62 → C2 ⊆ Aut C3 | 72 | C3.2(C6xC3:D4) | 432,377 | |
| C3.3(C6×C3⋊D4) = C2×Dic9⋊C6 | φ: C6×C3⋊D4/C2×C62 → C2 ⊆ Aut C3 | 72 | C3.3(C6xC3:D4) | 432,379 | |
| C3.4(C6×C3⋊D4) = C18×C3⋊D4 | central extension (φ=1) | 72 | C3.4(C6xC3:D4) | 432,375 |