| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6.7S4 | 72 | C2xC6.7S4 | 288,916 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C6.7S4) = C12.12S4 | central extension (φ=1) | 72 | 6 | C2.1(C6.7S4) | 288,402 |
| C2.2(C6.7S4) = C6.GL2(𝔽3) | central stem extension (φ=1) | 96 | C2.2(C6.7S4) | 288,403 | |
| C2.3(C6.7S4) = C3⋊U2(𝔽3) | central stem extension (φ=1) | 72 | 4 | C2.3(C6.7S4) | 288,404 |