| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×D9) = D8×D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.1(C2^2xD9) | 288,120 |
| C4.2(C22×D9) = D8⋊D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4 | C4.2(C2^2xD9) | 288,121 |
| C4.3(C22×D9) = D8⋊3D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.3(C2^2xD9) | 288,122 |
| C4.4(C22×D9) = SD16×D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4 | C4.4(C2^2xD9) | 288,123 |
| C4.5(C22×D9) = D72⋊C2 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.5(C2^2xD9) | 288,124 |
| C4.6(C22×D9) = SD16⋊D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.6(C2^2xD9) | 288,125 |
| C4.7(C22×D9) = SD16⋊3D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4 | C4.7(C2^2xD9) | 288,126 |
| C4.8(C22×D9) = Q16×D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.8(C2^2xD9) | 288,127 |
| C4.9(C22×D9) = Q16⋊D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4 | C4.9(C2^2xD9) | 288,128 |
| C4.10(C22×D9) = D72⋊5C2 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4+ | C4.10(C2^2xD9) | 288,129 |
| C4.11(C22×D9) = C2×D4.D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.11(C2^2xD9) | 288,141 |
| C4.12(C22×D9) = C2×D4⋊D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.12(C2^2xD9) | 288,142 |
| C4.13(C22×D9) = D36⋊6C22 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4 | C4.13(C2^2xD9) | 288,143 |
| C4.14(C22×D9) = C2×C9⋊Q16 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 288 | | C4.14(C2^2xD9) | 288,151 |
| C4.15(C22×D9) = C2×Q8⋊2D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.15(C2^2xD9) | 288,152 |
| C4.16(C22×D9) = C36.C23 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4 | C4.16(C2^2xD9) | 288,153 |
| C4.17(C22×D9) = D4.D18 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4- | C4.17(C2^2xD9) | 288,159 |
| C4.18(C22×D9) = D4⋊D18 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.18(C2^2xD9) | 288,160 |
| C4.19(C22×D9) = D4.9D18 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4 | C4.19(C2^2xD9) | 288,161 |
| C4.20(C22×D9) = C2×D4⋊2D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.20(C2^2xD9) | 288,357 |
| C4.21(C22×D9) = D4⋊6D18 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4 | C4.21(C2^2xD9) | 288,358 |
| C4.22(C22×D9) = C2×Q8×D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.22(C2^2xD9) | 288,359 |
| C4.23(C22×D9) = C2×Q8⋊3D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | | C4.23(C2^2xD9) | 288,360 |
| C4.24(C22×D9) = Q8.15D18 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 144 | 4 | C4.24(C2^2xD9) | 288,361 |
| C4.25(C22×D9) = C4○D4×D9 | φ: C22×D9/D18 → C2 ⊆ Aut C4 | 72 | 4 | C4.25(C2^2xD9) | 288,362 |
| C4.26(C22×D9) = C2×Dic36 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 288 | | C4.26(C2^2xD9) | 288,109 |
| C4.27(C22×D9) = C2×C72⋊C2 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 144 | | C4.27(C2^2xD9) | 288,113 |
| C4.28(C22×D9) = C2×D72 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 144 | | C4.28(C2^2xD9) | 288,114 |
| C4.29(C22×D9) = D72⋊7C2 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 144 | 2 | C4.29(C2^2xD9) | 288,115 |
| C4.30(C22×D9) = C8⋊D18 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.30(C2^2xD9) | 288,118 |
| C4.31(C22×D9) = C8.D18 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 144 | 4- | C4.31(C2^2xD9) | 288,119 |
| C4.32(C22×D9) = C22×Dic18 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 288 | | C4.32(C2^2xD9) | 288,352 |
| C4.33(C22×D9) = D4⋊8D18 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 72 | 4+ | C4.33(C2^2xD9) | 288,363 |
| C4.34(C22×D9) = D4.10D18 | φ: C22×D9/C2×C18 → C2 ⊆ Aut C4 | 144 | 4- | C4.34(C2^2xD9) | 288,364 |
| C4.35(C22×D9) = C2×C8×D9 | central extension (φ=1) | 144 | | C4.35(C2^2xD9) | 288,110 |
| C4.36(C22×D9) = C2×C8⋊D9 | central extension (φ=1) | 144 | | C4.36(C2^2xD9) | 288,111 |
| C4.37(C22×D9) = D36.2C4 | central extension (φ=1) | 144 | 2 | C4.37(C2^2xD9) | 288,112 |
| C4.38(C22×D9) = M4(2)×D9 | central extension (φ=1) | 72 | 4 | C4.38(C2^2xD9) | 288,116 |
| C4.39(C22×D9) = D36.C4 | central extension (φ=1) | 144 | 4 | C4.39(C2^2xD9) | 288,117 |
| C4.40(C22×D9) = C22×C9⋊C8 | central extension (φ=1) | 288 | | C4.40(C2^2xD9) | 288,130 |
| C4.41(C22×D9) = C2×C4.Dic9 | central extension (φ=1) | 144 | | C4.41(C2^2xD9) | 288,131 |
| C4.42(C22×D9) = D4.Dic9 | central extension (φ=1) | 144 | 4 | C4.42(C2^2xD9) | 288,158 |
| C4.43(C22×D9) = C2×D36⋊5C2 | central extension (φ=1) | 144 | | C4.43(C2^2xD9) | 288,355 |