| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C23.1(C2×C30) = C15×C23⋊C4 | φ: C2×C30/C15 → C22 ⊆ Aut C23 | 120 | 4 | C2^3.1(C2xC30) | 480,202 |
| C23.2(C2×C30) = C15×C4⋊D4 | φ: C2×C30/C15 → C22 ⊆ Aut C23 | 240 | | C2^3.2(C2xC30) | 480,926 |
| C23.3(C2×C30) = C15×C4.4D4 | φ: C2×C30/C15 → C22 ⊆ Aut C23 | 240 | | C2^3.3(C2xC30) | 480,929 |
| C23.4(C2×C30) = C15×C42⋊2C2 | φ: C2×C30/C15 → C22 ⊆ Aut C23 | 240 | | C2^3.4(C2xC30) | 480,931 |
| C23.5(C2×C30) = C15×C4⋊1D4 | φ: C2×C30/C15 → C22 ⊆ Aut C23 | 240 | | C2^3.5(C2xC30) | 480,932 |
| C23.6(C2×C30) = A4×C2×C20 | φ: C2×C30/C2×C10 → C3 ⊆ Aut C23 | 120 | | C2^3.6(C2xC30) | 480,1126 |
| C23.7(C2×C30) = C5×D4×A4 | φ: C2×C30/C2×C10 → C3 ⊆ Aut C23 | 60 | 6 | C2^3.7(C2xC30) | 480,1127 |
| C23.8(C2×C30) = C5×Q8×A4 | φ: C2×C30/C2×C10 → C3 ⊆ Aut C23 | 120 | 6 | C2^3.8(C2xC30) | 480,1129 |
| C23.9(C2×C30) = C15×C42⋊C2 | φ: C2×C30/C30 → C2 ⊆ Aut C23 | 240 | | C2^3.9(C2xC30) | 480,922 |
| C23.10(C2×C30) = D4×C60 | φ: C2×C30/C30 → C2 ⊆ Aut C23 | 240 | | C2^3.10(C2xC30) | 480,923 |
| C23.11(C2×C30) = C15×C22⋊Q8 | φ: C2×C30/C30 → C2 ⊆ Aut C23 | 240 | | C2^3.11(C2xC30) | 480,927 |
| C23.12(C2×C30) = C15×C22.D4 | φ: C2×C30/C30 → C2 ⊆ Aut C23 | 240 | | C2^3.12(C2xC30) | 480,928 |
| C23.13(C2×C30) = C4○D4×C30 | φ: C2×C30/C30 → C2 ⊆ Aut C23 | 240 | | C2^3.13(C2xC30) | 480,1183 |
| C23.14(C2×C30) = C15×C2.C42 | central extension (φ=1) | 480 | | C2^3.14(C2xC30) | 480,198 |
| C23.15(C2×C30) = C22⋊C4×C30 | central extension (φ=1) | 240 | | C2^3.15(C2xC30) | 480,920 |
| C23.16(C2×C30) = C4⋊C4×C30 | central extension (φ=1) | 480 | | C2^3.16(C2xC30) | 480,921 |
| C23.17(C2×C30) = Q8×C2×C30 | central extension (φ=1) | 480 | | C2^3.17(C2xC30) | 480,1182 |