| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6×C3⋊S3 | 72 | C2xC6xC3:S3 | 216,175 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C22×C3⋊S3) = C2×S3×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C3 | 36 | C3:1(C2^2xC3:S3) | 216,171 | |
| C3⋊2(C22×C3⋊S3) = C22×C33⋊C2 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C3 | 108 | C3:2(C2^2xC3:S3) | 216,176 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C22×C3⋊S3) = C22×C9⋊S3 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C3 | 108 | C3.(C2^2xC3:S3) | 216,112 | |
| C3.2(C22×C3⋊S3) = C22×He3⋊C2 | central stem extension (φ=1) | 36 | C3.2(C2^2xC3:S3) | 216,113 |