| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×He3⋊C2) = He3⋊7D8 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.1(C2xHe3:C2) | 432,192 |
| C4.2(C2×He3⋊C2) = He3⋊9SD16 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.2(C2xHe3:C2) | 432,193 |
| C4.3(C2×He3⋊C2) = He3⋊11SD16 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.3(C2xHe3:C2) | 432,196 |
| C4.4(C2×He3⋊C2) = He3⋊7Q16 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 144 | 6 | C4.4(C2xHe3:C2) | 432,197 |
| C4.5(C2×He3⋊C2) = C62.16D6 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.5(C2xHe3:C2) | 432,391 |
| C4.6(C2×He3⋊C2) = Q8×He3⋊C2 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.6(C2xHe3:C2) | 432,394 |
| C4.7(C2×He3⋊C2) = He3⋊5D4⋊C2 | φ: C2×He3⋊C2/He3⋊C2 → C2 ⊆ Aut C4 | 72 | 6 | C4.7(C2xHe3:C2) | 432,395 |
| C4.8(C2×He3⋊C2) = He3⋊7SD16 | φ: C2×He3⋊C2/C2×He3 → C2 ⊆ Aut C4 | 72 | 6 | C4.8(C2xHe3:C2) | 432,175 |
| C4.9(C2×He3⋊C2) = He3⋊5D8 | φ: C2×He3⋊C2/C2×He3 → C2 ⊆ Aut C4 | 72 | 6 | C4.9(C2xHe3:C2) | 432,176 |
| C4.10(C2×He3⋊C2) = He3⋊5Q16 | φ: C2×He3⋊C2/C2×He3 → C2 ⊆ Aut C4 | 144 | 6 | C4.10(C2xHe3:C2) | 432,177 |
| C4.11(C2×He3⋊C2) = C2×He3⋊4Q8 | φ: C2×He3⋊C2/C2×He3 → C2 ⊆ Aut C4 | 144 | | C4.11(C2xHe3:C2) | 432,384 |
| C4.12(C2×He3⋊C2) = C8×He3⋊C2 | central extension (φ=1) | 72 | 3 | C4.12(C2xHe3:C2) | 432,173 |
| C4.13(C2×He3⋊C2) = He3⋊6M4(2) | central extension (φ=1) | 72 | 6 | C4.13(C2xHe3:C2) | 432,174 |
| C4.14(C2×He3⋊C2) = C2×He3⋊4C8 | central extension (φ=1) | 144 | | C4.14(C2xHe3:C2) | 432,184 |
| C4.15(C2×He3⋊C2) = He3⋊8M4(2) | central extension (φ=1) | 72 | 6 | C4.15(C2xHe3:C2) | 432,185 |
| C4.16(C2×He3⋊C2) = C62.47D6 | central extension (φ=1) | 72 | 6 | C4.16(C2xHe3:C2) | 432,387 |