| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C4×He3⋊C2 | 72 | C2xC4xHe3:C2 | 432,385 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| (C2×He3⋊C2)⋊1C4 = C62.5D6 | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | (C2xHe3:C2):1C4 | 432,98 | |
| (C2×He3⋊C2)⋊2C4 = C62.31D6 | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | (C2xHe3:C2):2C4 | 432,189 | |
| (C2×He3⋊C2)⋊3C4 = C22⋊(He3⋊C4) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 36 | 6 | (C2xHe3:C2):3C4 | 432,279 |
| (C2×He3⋊C2)⋊4C4 = C2×He3⋊(C2×C4) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | (C2xHe3:C2):4C4 | 432,321 | |
| (C2×He3⋊C2)⋊5C4 = C22×He3⋊C4 | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | (C2xHe3:C2):5C4 | 432,543 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| (C2×He3⋊C2).C4 = C2×He3⋊C8 | φ: C4/C1 → C4 ⊆ Out C2×He3⋊C2 | 54 | 6+ | (C2xHe3:C2).C4 | 432,529 |
| (C2×He3⋊C2).2C4 = C12.89S32 | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | 6 | (C2xHe3:C2).2C4 | 432,81 |
| (C2×He3⋊C2).3C4 = He3⋊3M4(2) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | 6 | (C2xHe3:C2).3C4 | 432,82 |
| (C2×He3⋊C2).4C4 = He3⋊6M4(2) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | 6 | (C2xHe3:C2).4C4 | 432,174 |
| (C2×He3⋊C2).5C4 = He3⋊2(C2×C8) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | 3 | (C2xHe3:C2).5C4 | 432,273 |
| (C2×He3⋊C2).6C4 = He3⋊1M4(2) | φ: C4/C2 → C2 ⊆ Out C2×He3⋊C2 | 72 | 6 | (C2xHe3:C2).6C4 | 432,274 |
| (C2×He3⋊C2).7C4 = C8×He3⋊C2 | φ: trivial image | 72 | 3 | (C2xHe3:C2).7C4 | 432,173 |