| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×S4) = A4⋊SD16 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6 | C4.1(C2xS4) | 192,973 |
| C4.2(C2×S4) = D4⋊S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6+ | C4.2(C2xS4) | 192,974 |
| C4.3(C2×S4) = A4⋊2Q16 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 48 | 6- | C4.3(C2xS4) | 192,975 |
| C4.4(C2×S4) = Q8⋊3S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6 | C4.4(C2xS4) | 192,976 |
| C4.5(C2×S4) = Q8.4S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 48 | 4 | C4.5(C2xS4) | 192,987 |
| C4.6(C2×S4) = Q8.5S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 4+ | C4.6(C2xS4) | 192,988 |
| C4.7(C2×S4) = D4.S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 32 | 4- | C4.7(C2xS4) | 192,989 |
| C4.8(C2×S4) = D4.3S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 32 | 4 | C4.8(C2xS4) | 192,990 |
| C4.9(C2×S4) = D4⋊2S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6 | C4.9(C2xS4) | 192,1473 |
| C4.10(C2×S4) = Q8×S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6- | C4.10(C2xS4) | 192,1477 |
| C4.11(C2×S4) = Q8⋊4S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 24 | 6 | C4.11(C2xS4) | 192,1478 |
| C4.12(C2×S4) = Q8.6S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 32 | 4 | C4.12(C2xS4) | 192,1483 |
| C4.13(C2×S4) = Q8.7S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 32 | 4+ | C4.13(C2xS4) | 192,1484 |
| C4.14(C2×S4) = D4.4S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 16 | 4 | C4.14(C2xS4) | 192,1485 |
| C4.15(C2×S4) = D4.5S4 | φ: C2×S4/S4 → C2 ⊆ Aut C4 | 32 | 4- | C4.15(C2xS4) | 192,1486 |
| C4.16(C2×S4) = A4⋊Q16 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 48 | 6- | C4.16(C2xS4) | 192,957 |
| C4.17(C2×S4) = C8⋊2S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 24 | 6 | C4.17(C2xS4) | 192,960 |
| C4.18(C2×S4) = A4⋊D8 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 24 | 6+ | C4.18(C2xS4) | 192,961 |
| C4.19(C2×S4) = C8.S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 64 | 4- | C4.19(C2xS4) | 192,962 |
| C4.20(C2×S4) = C8.4S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 32 | 4 | C4.20(C2xS4) | 192,965 |
| C4.21(C2×S4) = C8.3S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 32 | 4+ | C4.21(C2xS4) | 192,966 |
| C4.22(C2×S4) = C2×A4⋊Q8 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 48 | | C4.22(C2xS4) | 192,1468 |
| C4.23(C2×S4) = C2×C4.S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 64 | | C4.23(C2xS4) | 192,1479 |
| C4.24(C2×S4) = C2×C4.3S4 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 32 | | C4.24(C2xS4) | 192,1481 |
| C4.25(C2×S4) = GL2(𝔽3)⋊C22 | φ: C2×S4/C2×A4 → C2 ⊆ Aut C4 | 32 | 4 | C4.25(C2xS4) | 192,1482 |
| C4.26(C2×S4) = C8×S4 | central extension (φ=1) | 24 | 3 | C4.26(C2xS4) | 192,958 |
| C4.27(C2×S4) = C8⋊S4 | central extension (φ=1) | 24 | 6 | C4.27(C2xS4) | 192,959 |
| C4.28(C2×S4) = CU2(𝔽3) | central extension (φ=1) | 32 | 2 | C4.28(C2xS4) | 192,963 |
| C4.29(C2×S4) = C8.5S4 | central extension (φ=1) | 32 | 4 | C4.29(C2xS4) | 192,964 |
| C4.30(C2×S4) = C2×A4⋊C8 | central extension (φ=1) | 48 | | C4.30(C2xS4) | 192,967 |
| C4.31(C2×S4) = A4⋊M4(2) | central extension (φ=1) | 24 | 6 | C4.31(C2xS4) | 192,968 |
| C4.32(C2×S4) = C2×U2(𝔽3) | central extension (φ=1) | 48 | | C4.32(C2xS4) | 192,981 |
| C4.33(C2×S4) = U2(𝔽3)⋊C2 | central extension (φ=1) | 32 | 4 | C4.33(C2xS4) | 192,982 |
| C4.34(C2×S4) = C24.10D6 | central extension (φ=1) | 24 | 6 | C4.34(C2xS4) | 192,1471 |
| C4.35(C2×S4) = C2×C4.6S4 | central extension (φ=1) | 32 | | C4.35(C2xS4) | 192,1480 |