| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(S3×C23) = C2×S3×Dic6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 96 | | C6.1(S3xC2^3) | 288,942 |
| C6.2(S3×C23) = C2×D12⋊5S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 96 | | C6.2(S3xC2^3) | 288,943 |
| C6.3(S3×C23) = C2×D12⋊S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.3(S3xC2^3) | 288,944 |
| C6.4(S3×C23) = D12.33D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 4 | C6.4(S3xC2^3) | 288,945 |
| C6.5(S3×C23) = D12.34D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 4- | C6.5(S3xC2^3) | 288,946 |
| C6.6(S3×C23) = C2×Dic3.D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.6(S3xC2^3) | 288,947 |
| C6.7(S3×C23) = C2×D6.D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.7(S3xC2^3) | 288,948 |
| C6.8(S3×C23) = C2×D6.6D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.8(S3xC2^3) | 288,949 |
| C6.9(S3×C23) = S32×C2×C4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.9(S3xC2^3) | 288,950 |
| C6.10(S3×C23) = C2×S3×D12 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.10(S3xC2^3) | 288,951 |
| C6.11(S3×C23) = C2×D6⋊D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.11(S3xC2^3) | 288,952 |
| C6.12(S3×C23) = S3×C4○D12 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 4 | C6.12(S3xC2^3) | 288,953 |
| C6.13(S3×C23) = D12⋊23D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 4 | C6.13(S3xC2^3) | 288,954 |
| C6.14(S3×C23) = D12⋊24D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 4 | C6.14(S3xC2^3) | 288,955 |
| C6.15(S3×C23) = D12⋊27D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 4+ | C6.15(S3xC2^3) | 288,956 |
| C6.16(S3×C23) = Dic6.24D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.16(S3xC2^3) | 288,957 |
| C6.17(S3×C23) = S32×D4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 8+ | C6.17(S3xC2^3) | 288,958 |
| C6.18(S3×C23) = S3×D4⋊2S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.18(S3xC2^3) | 288,959 |
| C6.19(S3×C23) = Dic6⋊12D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 8+ | C6.19(S3xC2^3) | 288,960 |
| C6.20(S3×C23) = D12⋊12D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.20(S3xC2^3) | 288,961 |
| C6.21(S3×C23) = D12⋊13D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 8+ | C6.21(S3xC2^3) | 288,962 |
| C6.22(S3×C23) = D12.25D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.22(S3xC2^3) | 288,963 |
| C6.23(S3×C23) = Dic6.26D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8+ | C6.23(S3xC2^3) | 288,964 |
| C6.24(S3×C23) = S32×Q8 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.24(S3xC2^3) | 288,965 |
| C6.25(S3×C23) = S3×Q8⋊3S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8+ | C6.25(S3xC2^3) | 288,966 |
| C6.26(S3×C23) = D12⋊15D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8- | C6.26(S3xC2^3) | 288,967 |
| C6.27(S3×C23) = D12⋊16D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | 8+ | C6.27(S3xC2^3) | 288,968 |
| C6.28(S3×C23) = C22×S3×Dic3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 96 | | C6.28(S3xC2^3) | 288,969 |
| C6.29(S3×C23) = C2×D6.3D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.29(S3xC2^3) | 288,970 |
| C6.30(S3×C23) = C2×D6.4D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.30(S3xC2^3) | 288,971 |
| C6.31(S3×C23) = C22×C6.D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.31(S3xC2^3) | 288,972 |
| C6.32(S3×C23) = C22×D6⋊S3 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 96 | | C6.32(S3xC2^3) | 288,973 |
| C6.33(S3×C23) = C22×C3⋊D12 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.33(S3xC2^3) | 288,974 |
| C6.34(S3×C23) = C22×C32⋊2Q8 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 96 | | C6.34(S3xC2^3) | 288,975 |
| C6.35(S3×C23) = C2×S3×C3⋊D4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 48 | | C6.35(S3xC2^3) | 288,976 |
| C6.36(S3×C23) = C2×Dic3⋊D6 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | | C6.36(S3xC2^3) | 288,977 |
| C6.37(S3×C23) = C32⋊2+ 1+4 | φ: S3×C23/C22×S3 → C2 ⊆ Aut C6 | 24 | 4 | C6.37(S3xC2^3) | 288,978 |
| C6.38(S3×C23) = C22×Dic18 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 288 | | C6.38(S3xC2^3) | 288,352 |
| C6.39(S3×C23) = C22×C4×D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.39(S3xC2^3) | 288,353 |
| C6.40(S3×C23) = C22×D36 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.40(S3xC2^3) | 288,354 |
| C6.41(S3×C23) = C2×D36⋊5C2 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.41(S3xC2^3) | 288,355 |
| C6.42(S3×C23) = C2×D4×D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | | C6.42(S3xC2^3) | 288,356 |
| C6.43(S3×C23) = C2×D4⋊2D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.43(S3xC2^3) | 288,357 |
| C6.44(S3×C23) = D4⋊6D18 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | 4 | C6.44(S3xC2^3) | 288,358 |
| C6.45(S3×C23) = C2×Q8×D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.45(S3xC2^3) | 288,359 |
| C6.46(S3×C23) = C2×Q8⋊3D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.46(S3xC2^3) | 288,360 |
| C6.47(S3×C23) = Q8.15D18 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | 4 | C6.47(S3xC2^3) | 288,361 |
| C6.48(S3×C23) = C4○D4×D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | 4 | C6.48(S3xC2^3) | 288,362 |
| C6.49(S3×C23) = D4⋊8D18 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | 4+ | C6.49(S3xC2^3) | 288,363 |
| C6.50(S3×C23) = D4.10D18 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | 4- | C6.50(S3xC2^3) | 288,364 |
| C6.51(S3×C23) = C23×Dic9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 288 | | C6.51(S3xC2^3) | 288,365 |
| C6.52(S3×C23) = C22×C9⋊D4 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.52(S3xC2^3) | 288,366 |
| C6.53(S3×C23) = C24×D9 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.53(S3xC2^3) | 288,839 |
| C6.54(S3×C23) = C22×C32⋊4Q8 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 288 | | C6.54(S3xC2^3) | 288,1003 |
| C6.55(S3×C23) = C22×C4×C3⋊S3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.55(S3xC2^3) | 288,1004 |
| C6.56(S3×C23) = C22×C12⋊S3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.56(S3xC2^3) | 288,1005 |
| C6.57(S3×C23) = C2×C12.59D6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.57(S3xC2^3) | 288,1006 |
| C6.58(S3×C23) = C2×D4×C3⋊S3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | | C6.58(S3xC2^3) | 288,1007 |
| C6.59(S3×C23) = C2×C12.D6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.59(S3xC2^3) | 288,1008 |
| C6.60(S3×C23) = C32⋊82+ 1+4 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | | C6.60(S3xC2^3) | 288,1009 |
| C6.61(S3×C23) = C2×Q8×C3⋊S3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.61(S3xC2^3) | 288,1010 |
| C6.62(S3×C23) = C2×C12.26D6 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.62(S3xC2^3) | 288,1011 |
| C6.63(S3×C23) = C32⋊72- 1+4 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.63(S3xC2^3) | 288,1012 |
| C6.64(S3×C23) = C4○D4×C3⋊S3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | | C6.64(S3xC2^3) | 288,1013 |
| C6.65(S3×C23) = C62.154C23 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 72 | | C6.65(S3xC2^3) | 288,1014 |
| C6.66(S3×C23) = C32⋊92- 1+4 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.66(S3xC2^3) | 288,1015 |
| C6.67(S3×C23) = C23×C3⋊Dic3 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 288 | | C6.67(S3xC2^3) | 288,1016 |
| C6.68(S3×C23) = C22×C32⋊7D4 | φ: S3×C23/C22×C6 → C2 ⊆ Aut C6 | 144 | | C6.68(S3xC2^3) | 288,1017 |
| C6.69(S3×C23) = C2×C6×Dic6 | central extension (φ=1) | 96 | | C6.69(S3xC2^3) | 288,988 |
| C6.70(S3×C23) = S3×C22×C12 | central extension (φ=1) | 96 | | C6.70(S3xC2^3) | 288,989 |
| C6.71(S3×C23) = C2×C6×D12 | central extension (φ=1) | 96 | | C6.71(S3xC2^3) | 288,990 |
| C6.72(S3×C23) = C6×C4○D12 | central extension (φ=1) | 48 | | C6.72(S3xC2^3) | 288,991 |
| C6.73(S3×C23) = S3×C6×D4 | central extension (φ=1) | 48 | | C6.73(S3xC2^3) | 288,992 |
| C6.74(S3×C23) = C6×D4⋊2S3 | central extension (φ=1) | 48 | | C6.74(S3xC2^3) | 288,993 |
| C6.75(S3×C23) = C3×D4⋊6D6 | central extension (φ=1) | 24 | 4 | C6.75(S3xC2^3) | 288,994 |
| C6.76(S3×C23) = S3×C6×Q8 | central extension (φ=1) | 96 | | C6.76(S3xC2^3) | 288,995 |
| C6.77(S3×C23) = C6×Q8⋊3S3 | central extension (φ=1) | 96 | | C6.77(S3xC2^3) | 288,996 |
| C6.78(S3×C23) = C3×Q8.15D6 | central extension (φ=1) | 48 | 4 | C6.78(S3xC2^3) | 288,997 |
| C6.79(S3×C23) = C3×S3×C4○D4 | central extension (φ=1) | 48 | 4 | C6.79(S3xC2^3) | 288,998 |
| C6.80(S3×C23) = C3×D4○D12 | central extension (φ=1) | 48 | 4 | C6.80(S3xC2^3) | 288,999 |
| C6.81(S3×C23) = C3×Q8○D12 | central extension (φ=1) | 48 | 4 | C6.81(S3xC2^3) | 288,1000 |
| C6.82(S3×C23) = Dic3×C22×C6 | central extension (φ=1) | 96 | | C6.82(S3xC2^3) | 288,1001 |
| C6.83(S3×C23) = C2×C6×C3⋊D4 | central extension (φ=1) | 48 | | C6.83(S3xC2^3) | 288,1002 |