extension | φ:Q→Aut N | d | ρ | Label | ID |
C6.1D36 = Dic108 | φ: D36/C36 → C2 ⊆ Aut C6 | 432 | 2- | C6.1D36 | 432,4 |
C6.2D36 = C216⋊C2 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | 2 | C6.2D36 | 432,7 |
C6.3D36 = D216 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | 2+ | C6.3D36 | 432,8 |
C6.4D36 = C4⋊Dic27 | φ: D36/C36 → C2 ⊆ Aut C6 | 432 | | C6.4D36 | 432,13 |
C6.5D36 = D54⋊C4 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | | C6.5D36 | 432,14 |
C6.6D36 = C2×D108 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | | C6.6D36 | 432,45 |
C6.7D36 = C24.D9 | φ: D36/C36 → C2 ⊆ Aut C6 | 432 | | C6.7D36 | 432,168 |
C6.8D36 = C24⋊D9 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | | C6.8D36 | 432,171 |
C6.9D36 = C72⋊1S3 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | | C6.9D36 | 432,172 |
C6.10D36 = C36⋊Dic3 | φ: D36/C36 → C2 ⊆ Aut C6 | 432 | | C6.10D36 | 432,182 |
C6.11D36 = C6.11D36 | φ: D36/C36 → C2 ⊆ Aut C6 | 216 | | C6.11D36 | 432,183 |
C6.12D36 = D36.S3 | φ: D36/D18 → C2 ⊆ Aut C6 | 144 | 4- | C6.12D36 | 432,62 |
C6.13D36 = C6.D36 | φ: D36/D18 → C2 ⊆ Aut C6 | 72 | 4+ | C6.13D36 | 432,63 |
C6.14D36 = C3⋊D72 | φ: D36/D18 → C2 ⊆ Aut C6 | 72 | 4+ | C6.14D36 | 432,64 |
C6.15D36 = C3⋊Dic36 | φ: D36/D18 → C2 ⊆ Aut C6 | 144 | 4- | C6.15D36 | 432,65 |
C6.16D36 = Dic3⋊Dic9 | φ: D36/D18 → C2 ⊆ Aut C6 | 144 | | C6.16D36 | 432,90 |
C6.17D36 = D18⋊Dic3 | φ: D36/D18 → C2 ⊆ Aut C6 | 144 | | C6.17D36 | 432,91 |
C6.18D36 = C6.18D36 | φ: D36/D18 → C2 ⊆ Aut C6 | 72 | | C6.18D36 | 432,92 |
C6.19D36 = C3×Dic36 | central extension (φ=1) | 144 | 2 | C6.19D36 | 432,104 |
C6.20D36 = C3×C72⋊C2 | central extension (φ=1) | 144 | 2 | C6.20D36 | 432,107 |
C6.21D36 = C3×D72 | central extension (φ=1) | 144 | 2 | C6.21D36 | 432,108 |
C6.22D36 = C3×C4⋊Dic9 | central extension (φ=1) | 144 | | C6.22D36 | 432,130 |
C6.23D36 = C3×D18⋊C4 | central extension (φ=1) | 144 | | C6.23D36 | 432,134 |