| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C4×He3⋊C2 | 72 | C2xC4xHe3:C2 | 432,385 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| (C2×C4)⋊1(He3⋊C2) = C62.31D6 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 72 | (C2xC4):1(He3:C2) | 432,189 | |
| (C2×C4)⋊2(He3⋊C2) = C2×He3⋊5D4 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 72 | (C2xC4):2(He3:C2) | 432,386 | |
| (C2×C4)⋊3(He3⋊C2) = C62.47D6 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 72 | 6 | (C2xC4):3(He3:C2) | 432,387 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| (C2×C4).1(He3⋊C2) = C62.29D6 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 144 | (C2xC4).1(He3:C2) | 432,187 | |
| (C2×C4).2(He3⋊C2) = He3⋊8M4(2) | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 72 | 6 | (C2xC4).2(He3:C2) | 432,185 |
| (C2×C4).3(He3⋊C2) = C62.30D6 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 144 | (C2xC4).3(He3:C2) | 432,188 | |
| (C2×C4).4(He3⋊C2) = C2×He3⋊4Q8 | φ: He3⋊C2/He3 → C2 ⊆ Aut C2×C4 | 144 | (C2xC4).4(He3:C2) | 432,384 | |
| (C2×C4).5(He3⋊C2) = C2×He3⋊4C8 | central extension (φ=1) | 144 | (C2xC4).5(He3:C2) | 432,184 | |
| (C2×C4).6(He3⋊C2) = C4×He3⋊3C4 | central extension (φ=1) | 144 | (C2xC4).6(He3:C2) | 432,186 |