| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C4×A4⋊C4 | 48 | C4xA4:C4 | 192,969 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4⋊(A4⋊C4) = C24.4D6 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C4 | 48 | C4:(A4:C4) | 192,971 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4.1(A4⋊C4) = A4⋊M4(2) | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C4 | 24 | 6 | C4.1(A4:C4) | 192,968 |
| C4.2(A4⋊C4) = U2(𝔽3)⋊C2 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C4 | 32 | 4 | C4.2(A4:C4) | 192,982 |
| C4.3(A4⋊C4) = (C2×C4).S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C4 | 64 | C4.3(A4:C4) | 192,985 | |
| C4.4(A4⋊C4) = A4⋊C16 | central extension (φ=1) | 48 | 3 | C4.4(A4:C4) | 192,186 |
| C4.5(A4⋊C4) = C8.7S4 | central extension (φ=1) | 64 | 2 | C4.5(A4:C4) | 192,187 |
| C4.6(A4⋊C4) = C2×A4⋊C8 | central extension (φ=1) | 48 | C4.6(A4:C4) | 192,967 | |
| C4.7(A4⋊C4) = C2×U2(𝔽3) | central extension (φ=1) | 48 | C4.7(A4:C4) | 192,981 | |
| C4.8(A4⋊C4) = C4.A4⋊C4 | central extension (φ=1) | 64 | C4.8(A4:C4) | 192,983 |