| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×He3⋊C2 | 72 | C2^3xHe3:C2 | 432,561 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(He3⋊C2) = C2×C32⋊S4 | φ: He3⋊C2/C32 → S3 ⊆ Aut C23 | 18 | 3 | C2^3:(He3:C2) | 432,538 |
| C23⋊2(He3⋊C2) = C2×He3⋊7D4 | φ: He3⋊C2/He3 → C2 ⊆ Aut C23 | 72 | C2^3:2(He3:C2) | 432,399 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(He3⋊C2) = C62⋊6Dic3 | φ: He3⋊C2/C32 → S3 ⊆ Aut C23 | 36 | 3 | C2^3.(He3:C2) | 432,260 |
| C23.2(He3⋊C2) = C62⋊4Dic3 | φ: He3⋊C2/He3 → C2 ⊆ Aut C23 | 72 | C2^3.2(He3:C2) | 432,199 | |
| C23.3(He3⋊C2) = C22×He3⋊3C4 | central extension (φ=1) | 144 | C2^3.3(He3:C2) | 432,398 |