| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C24×He3 | 144 | C2^4xHe3 | 432,563 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C2×He3) = C22×C32⋊A4 | φ: C2×He3/C3×C6 → C3 ⊆ Aut C23 | 36 | C2^3:(C2xHe3) | 432,550 | |
| C23⋊2(C2×He3) = C2×D4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C23 | 72 | C2^3:2(C2xHe3) | 432,404 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C2×He3) = C4×C32⋊A4 | φ: C2×He3/C3×C6 → C3 ⊆ Aut C23 | 36 | 3 | C2^3.(C2xHe3) | 432,333 |
| C23.2(C2×He3) = C22⋊C4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C23 | 72 | C2^3.2(C2xHe3) | 432,204 | |
| C23.3(C2×He3) = C22×C4×He3 | central extension (φ=1) | 144 | C2^3.3(C2xHe3) | 432,401 |