Direct product G=N×Q with N=C6 and Q=D30
Semidirect products G=N:Q with N=C6 and Q=D30
Non-split extensions G=N.Q with N=C6 and Q=D30
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1D30 = Dic3×D15 | φ: D30/D15 → C2 ⊆ Aut C6 | 120 | 4- | C6.1D30 | 360,77 |
| C6.2D30 = S3×Dic15 | φ: D30/D15 → C2 ⊆ Aut C6 | 120 | 4- | C6.2D30 | 360,78 |
| C6.3D30 = C6.D30 | φ: D30/D15 → C2 ⊆ Aut C6 | 60 | 4+ | C6.3D30 | 360,79 |
| C6.4D30 = D6⋊D15 | φ: D30/D15 → C2 ⊆ Aut C6 | 120 | 4- | C6.4D30 | 360,80 |
| C6.5D30 = C3⋊D60 | φ: D30/D15 → C2 ⊆ Aut C6 | 60 | 4+ | C6.5D30 | 360,81 |
| C6.6D30 = D6⋊2D15 | φ: D30/D15 → C2 ⊆ Aut C6 | 60 | 4+ | C6.6D30 | 360,82 |
| C6.7D30 = C3⋊Dic30 | φ: D30/D15 → C2 ⊆ Aut C6 | 120 | 4- | C6.7D30 | 360,83 |
| C6.8D30 = Dic90 | φ: D30/C30 → C2 ⊆ Aut C6 | 360 | 2- | C6.8D30 | 360,25 |
| C6.9D30 = C4×D45 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | 2 | C6.9D30 | 360,26 |
| C6.10D30 = D180 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | 2+ | C6.10D30 | 360,27 |
| C6.11D30 = C2×Dic45 | φ: D30/C30 → C2 ⊆ Aut C6 | 360 | | C6.11D30 | 360,28 |
| C6.12D30 = C45⋊7D4 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | 2 | C6.12D30 | 360,29 |
| C6.13D30 = C22×D45 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | | C6.13D30 | 360,49 |
| C6.14D30 = C12.D15 | φ: D30/C30 → C2 ⊆ Aut C6 | 360 | | C6.14D30 | 360,110 |
| C6.15D30 = C4×C3⋊D15 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | | C6.15D30 | 360,111 |
| C6.16D30 = C60⋊S3 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | | C6.16D30 | 360,112 |
| C6.17D30 = C2×C3⋊Dic15 | φ: D30/C30 → C2 ⊆ Aut C6 | 360 | | C6.17D30 | 360,113 |
| C6.18D30 = C62⋊D5 | φ: D30/C30 → C2 ⊆ Aut C6 | 180 | | C6.18D30 | 360,114 |
| C6.19D30 = C3×Dic30 | central extension (φ=1) | 120 | 2 | C6.19D30 | 360,100 |
| C6.20D30 = C12×D15 | central extension (φ=1) | 120 | 2 | C6.20D30 | 360,101 |
| C6.21D30 = C3×D60 | central extension (φ=1) | 120 | 2 | C6.21D30 | 360,102 |
| C6.22D30 = C6×Dic15 | central extension (φ=1) | 120 | | C6.22D30 | 360,103 |
| C6.23D30 = C3×C15⋊7D4 | central extension (φ=1) | 60 | 2 | C6.23D30 | 360,104 |
×
⋊
ℤ
𝔽
○
≀
ℚ
◁