extension | φ:Q→Aut N | d | ρ | Label | ID |
C72⋊1C6 = C7×F7 | φ: C6/C1 → C6 ⊆ Aut C72 | 42 | 6 | C7^2:1C6 | 294,8 |
C72⋊2C6 = D7×C7⋊C3 | φ: C6/C1 → C6 ⊆ Aut C72 | 42 | 6 | C7^2:2C6 | 294,9 |
C72⋊3C6 = C7⋊5F7 | φ: C6/C1 → C6 ⊆ Aut C72 | 21 | 6+ | C7^2:3C6 | 294,10 |
C72⋊4C6 = C7⋊3F7 | φ: C6/C1 → C6 ⊆ Aut C72 | 42 | 6 | C7^2:4C6 | 294,11 |
C72⋊5C6 = C7⋊4F7 | φ: C6/C1 → C6 ⊆ Aut C72 | 14 | 6 | C7^2:5C6 | 294,12 |
C72⋊6C6 = C7⋊F7 | φ: C6/C1 → C6 ⊆ Aut C72 | 49 | | C7^2:6C6 | 294,13 |
C72⋊7C6 = C72⋊C6 | φ: C6/C1 → C6 ⊆ Aut C72 | 21 | 6+ | C7^2:7C6 | 294,14 |
C72⋊8C6 = C14×C7⋊C3 | φ: C6/C2 → C3 ⊆ Aut C72 | 42 | 3 | C7^2:8C6 | 294,15 |
C72⋊9C6 = C2×C72⋊C3 | φ: C6/C2 → C3 ⊆ Aut C72 | 98 | | C7^2:9C6 | 294,16 |
C72⋊10C6 = C2×C72⋊3C3 | φ: C6/C2 → C3 ⊆ Aut C72 | 42 | 3 | C7^2:10C6 | 294,17 |
C72⋊11C6 = D7×C21 | φ: C6/C3 → C2 ⊆ Aut C72 | 42 | 2 | C7^2:11C6 | 294,18 |
C72⋊12C6 = C3×C7⋊D7 | φ: C6/C3 → C2 ⊆ Aut C72 | 147 | | C7^2:12C6 | 294,19 |