| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C24×C7⋊C3 | 112 | C2^4xC7:C3 | 336,220 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C2×C7⋊C3) = C2×AΓL1(𝔽8) | φ: C2×C7⋊C3/C2 → C7⋊C3 ⊆ Aut C23 | 14 | 7+ | C2^3:(C2xC7:C3) | 336,210 |
| C23⋊2(C2×C7⋊C3) = C22×C7⋊A4 | φ: C2×C7⋊C3/C14 → C3 ⊆ Aut C23 | 84 | C2^3:2(C2xC7:C3) | 336,222 | |
| C23⋊3(C2×C7⋊C3) = C2×D4×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C23 | 56 | C2^3:3(C2xC7:C3) | 336,165 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C2×C7⋊C3) = C4×C7⋊A4 | φ: C2×C7⋊C3/C14 → C3 ⊆ Aut C23 | 84 | 3 | C2^3.(C2xC7:C3) | 336,171 |
| C23.2(C2×C7⋊C3) = C22⋊C4×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C23 | 56 | C2^3.2(C2xC7:C3) | 336,49 | |
| C23.3(C2×C7⋊C3) = C22×C4×C7⋊C3 | central extension (φ=1) | 112 | C2^3.3(C2xC7:C3) | 336,164 |