extension | φ:Q→Aut N | d | ρ | Label | ID |
C32⋊(C3×D4) = C3×S3≀C2 | φ: C3×D4/C3 → D4 ⊆ Aut C32 | 12 | 4 | C3^2:(C3xD4) | 216,157 |
C32⋊2(C3×D4) = He3⋊4D4 | φ: C3×D4/C4 → C6 ⊆ Aut C32 | 36 | 6+ | C3^2:2(C3xD4) | 216,51 |
C32⋊3(C3×D4) = He3⋊6D4 | φ: C3×D4/C22 → C6 ⊆ Aut C32 | 36 | 6 | C3^2:3(C3xD4) | 216,60 |
C32⋊4(C3×D4) = C3×D6⋊S3 | φ: C3×D4/C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:4(C3xD4) | 216,121 |
C32⋊5(C3×D4) = C3×C3⋊D12 | φ: C3×D4/C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:5(C3xD4) | 216,122 |
C32⋊6(C3×D4) = D4×He3 | φ: C3×D4/D4 → C3 ⊆ Aut C32 | 36 | 6 | C3^2:6(C3xD4) | 216,77 |
C32⋊7(C3×D4) = C32×D12 | φ: C3×D4/C12 → C2 ⊆ Aut C32 | 72 | | C3^2:7(C3xD4) | 216,137 |
C32⋊8(C3×D4) = C3×C12⋊S3 | φ: C3×D4/C12 → C2 ⊆ Aut C32 | 72 | | C3^2:8(C3xD4) | 216,142 |
C32⋊9(C3×D4) = C32×C3⋊D4 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C32 | 36 | | C3^2:9(C3xD4) | 216,139 |
C32⋊10(C3×D4) = C3×C32⋊7D4 | φ: C3×D4/C2×C6 → C2 ⊆ Aut C32 | 36 | | C3^2:10(C3xD4) | 216,144 |