| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| A4×C22×C6 | 72 | A4xC2^2xC6 | 288,1041 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊1(C3×A4) = C3×C24⋊C6 | φ: C3×A4/C3 → A4 ⊆ Aut C23 | 24 | 6 | C2^3:1(C3xA4) | 288,634 |
| C23⋊2(C3×A4) = C3×C23⋊A4 | φ: C3×A4/C3 → A4 ⊆ Aut C23 | 24 | 4 | C2^3:2(C3xA4) | 288,987 |
| C23⋊3(C3×A4) = C2×A42 | φ: C3×A4/A4 → C3 ⊆ Aut C23 | 18 | 9+ | C2^3:3(C3xA4) | 288,1029 |
| C23⋊4(C3×A4) = C6×C22⋊A4 | φ: C3×A4/C2×C6 → C3 ⊆ Aut C23 | 36 | C2^3:4(C3xA4) | 288,1042 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.1(C3×A4) = C3×C42⋊C6 | φ: C3×A4/C3 → A4 ⊆ Aut C23 | 48 | 6 | C2^3.1(C3xA4) | 288,635 |
| C23.2(C3×A4) = C3×C23.A4 | φ: C3×A4/C3 → A4 ⊆ Aut C23 | 36 | 6 | C2^3.2(C3xA4) | 288,636 |
| C23.3(C3×A4) = A4×SL2(𝔽3) | φ: C3×A4/A4 → C3 ⊆ Aut C23 | 24 | 6- | C2^3.3(C3xA4) | 288,859 |
| C23.4(C3×A4) = C3×C23.3A4 | φ: C3×A4/C2×C6 → C3 ⊆ Aut C23 | 36 | 6 | C2^3.4(C3xA4) | 288,230 |
| C23.5(C3×A4) = C6×C42⋊C3 | φ: C3×A4/C2×C6 → C3 ⊆ Aut C23 | 36 | 3 | C2^3.5(C3xA4) | 288,632 |
| C23.6(C3×A4) = C3×Q8⋊A4 | φ: C3×A4/C2×C6 → C3 ⊆ Aut C23 | 72 | 6 | C2^3.6(C3xA4) | 288,986 |
| C23.7(C3×A4) = C2×C6×SL2(𝔽3) | central extension (φ=1) | 96 | C2^3.7(C3xA4) | 288,981 |