| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C8×C7⋊C3 | 112 | C2xC8xC7:C3 | 336,51 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8⋊1(C2×C7⋊C3) = D8×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C8 | 56 | 6 | C8:1(C2xC7:C3) | 336,53 |
| C8⋊2(C2×C7⋊C3) = SD16×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C8 | 56 | 6 | C8:2(C2xC7:C3) | 336,54 |
| C8⋊3(C2×C7⋊C3) = M4(2)×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C8 | 56 | 6 | C8:3(C2xC7:C3) | 336,52 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8.(C2×C7⋊C3) = Q16×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C8 | 112 | 6 | C8.(C2xC7:C3) | 336,55 |
| C8.2(C2×C7⋊C3) = C16×C7⋊C3 | central extension (φ=1) | 112 | 3 | C8.2(C2xC7:C3) | 336,2 |