| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C4×He3⋊C2 | 72 | C2xC4xHe3:C2 | 432,385 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C4×He3⋊C2) = C8×He3⋊C2 | central extension (φ=1) | 72 | 3 | C2.1(C4xHe3:C2) | 432,173 |
| C2.2(C4×He3⋊C2) = C4×He3⋊3C4 | central extension (φ=1) | 144 | C2.2(C4xHe3:C2) | 432,186 | |
| C2.3(C4×He3⋊C2) = He3⋊6M4(2) | central stem extension (φ=1) | 72 | 6 | C2.3(C4xHe3:C2) | 432,174 |
| C2.4(C4×He3⋊C2) = C62.29D6 | central stem extension (φ=1) | 144 | C2.4(C4xHe3:C2) | 432,187 | |
| C2.5(C4×He3⋊C2) = C62.31D6 | central stem extension (φ=1) | 72 | C2.5(C4xHe3:C2) | 432,189 |