extension | φ:Q→Aut N | d | ρ | Label | ID |
C22.1(D4×C10) = C5×C22.26C24 | φ: D4×C10/C2×C20 → C2 ⊆ Aut C22 | 160 | | C2^2.1(D4xC10) | 320,1534 |
C22.2(D4×C10) = C5×C23⋊3D4 | φ: D4×C10/C2×C20 → C2 ⊆ Aut C22 | 80 | | C2^2.2(D4xC10) | 320,1536 |
C22.3(D4×C10) = C5×C22.31C24 | φ: D4×C10/C2×C20 → C2 ⊆ Aut C22 | 160 | | C2^2.3(D4xC10) | 320,1539 |
C22.4(D4×C10) = C10×C4○D8 | φ: D4×C10/C2×C20 → C2 ⊆ Aut C22 | 160 | | C2^2.4(D4xC10) | 320,1574 |
C22.5(D4×C10) = C5×D4⋊5D4 | φ: D4×C10/C5×D4 → C2 ⊆ Aut C22 | 80 | | C2^2.5(D4xC10) | 320,1548 |
C22.6(D4×C10) = C5×D4⋊6D4 | φ: D4×C10/C5×D4 → C2 ⊆ Aut C22 | 160 | | C2^2.6(D4xC10) | 320,1549 |
C22.7(D4×C10) = C5×D4○D8 | φ: D4×C10/C5×D4 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.7(D4xC10) | 320,1578 |
C22.8(D4×C10) = C5×D4○SD16 | φ: D4×C10/C5×D4 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.8(D4xC10) | 320,1579 |
C22.9(D4×C10) = C5×Q8○D8 | φ: D4×C10/C5×D4 → C2 ⊆ Aut C22 | 160 | 4 | C2^2.9(D4xC10) | 320,1580 |
C22.10(D4×C10) = C10×C23⋊C4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.10(D4xC10) | 320,910 |
C22.11(D4×C10) = C5×C23.C23 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.11(D4xC10) | 320,911 |
C22.12(D4×C10) = C10×C4≀C2 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.12(D4xC10) | 320,921 |
C22.13(D4×C10) = C5×C42⋊C22 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.13(D4xC10) | 320,922 |
C22.14(D4×C10) = C5×D4⋊4D4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 40 | 4 | C2^2.14(D4xC10) | 320,954 |
C22.15(D4×C10) = C5×D4.8D4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.15(D4xC10) | 320,955 |
C22.16(D4×C10) = C5×D4.9D4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.16(D4xC10) | 320,956 |
C22.17(D4×C10) = C5×D4.10D4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.17(D4xC10) | 320,957 |
C22.18(D4×C10) = C5×C2≀C22 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 40 | 4 | C2^2.18(D4xC10) | 320,958 |
C22.19(D4×C10) = C5×C23.7D4 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.19(D4xC10) | 320,959 |
C22.20(D4×C10) = C5×C22.19C24 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.20(D4xC10) | 320,1527 |
C22.21(D4×C10) = C5×C22.29C24 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.21(D4xC10) | 320,1537 |
C22.22(D4×C10) = C5×C23.38C23 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 160 | | C2^2.22(D4xC10) | 320,1538 |
C22.23(D4×C10) = C10×C8⋊C22 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.23(D4xC10) | 320,1575 |
C22.24(D4×C10) = C10×C8.C22 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 160 | | C2^2.24(D4xC10) | 320,1576 |
C22.25(D4×C10) = C5×D8⋊C22 | φ: D4×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.25(D4xC10) | 320,1577 |
C22.26(D4×C10) = C10×C2.C42 | central extension (φ=1) | 320 | | C2^2.26(D4xC10) | 320,876 |
C22.27(D4×C10) = C22⋊C4×C20 | central extension (φ=1) | 160 | | C2^2.27(D4xC10) | 320,878 |
C22.28(D4×C10) = C4⋊C4×C20 | central extension (φ=1) | 320 | | C2^2.28(D4xC10) | 320,879 |
C22.29(D4×C10) = C5×C24⋊3C4 | central extension (φ=1) | 80 | | C2^2.29(D4xC10) | 320,880 |
C22.30(D4×C10) = C5×C23.7Q8 | central extension (φ=1) | 160 | | C2^2.30(D4xC10) | 320,881 |
C22.31(D4×C10) = C5×C23.34D4 | central extension (φ=1) | 160 | | C2^2.31(D4xC10) | 320,882 |
C22.32(D4×C10) = C5×C42⋊8C4 | central extension (φ=1) | 320 | | C2^2.32(D4xC10) | 320,883 |
C22.33(D4×C10) = C5×C42⋊9C4 | central extension (φ=1) | 320 | | C2^2.33(D4xC10) | 320,885 |
C22.34(D4×C10) = C5×C23.8Q8 | central extension (φ=1) | 160 | | C2^2.34(D4xC10) | 320,886 |
C22.35(D4×C10) = C5×C23.23D4 | central extension (φ=1) | 160 | | C2^2.35(D4xC10) | 320,887 |
C22.36(D4×C10) = C5×C23.63C23 | central extension (φ=1) | 320 | | C2^2.36(D4xC10) | 320,888 |
C22.37(D4×C10) = C5×C24.C22 | central extension (φ=1) | 160 | | C2^2.37(D4xC10) | 320,889 |
C22.38(D4×C10) = C5×C23.65C23 | central extension (φ=1) | 320 | | C2^2.38(D4xC10) | 320,890 |
C22.39(D4×C10) = C5×C24.3C22 | central extension (φ=1) | 160 | | C2^2.39(D4xC10) | 320,891 |
C22.40(D4×C10) = C5×C23.67C23 | central extension (φ=1) | 320 | | C2^2.40(D4xC10) | 320,892 |
C22.41(D4×C10) = C10×D4⋊C4 | central extension (φ=1) | 160 | | C2^2.41(D4xC10) | 320,915 |
C22.42(D4×C10) = C10×Q8⋊C4 | central extension (φ=1) | 320 | | C2^2.42(D4xC10) | 320,916 |
C22.43(D4×C10) = C5×C23.24D4 | central extension (φ=1) | 160 | | C2^2.43(D4xC10) | 320,917 |
C22.44(D4×C10) = C5×C23.36D4 | central extension (φ=1) | 160 | | C2^2.44(D4xC10) | 320,918 |
C22.45(D4×C10) = C5×C23.37D4 | central extension (φ=1) | 80 | | C2^2.45(D4xC10) | 320,919 |
C22.46(D4×C10) = C5×C23.38D4 | central extension (φ=1) | 160 | | C2^2.46(D4xC10) | 320,920 |
C22.47(D4×C10) = C10×C4.Q8 | central extension (φ=1) | 320 | | C2^2.47(D4xC10) | 320,926 |
C22.48(D4×C10) = C10×C2.D8 | central extension (φ=1) | 320 | | C2^2.48(D4xC10) | 320,927 |
C22.49(D4×C10) = C5×C23.25D4 | central extension (φ=1) | 160 | | C2^2.49(D4xC10) | 320,928 |
C22.50(D4×C10) = C5×M4(2)⋊C4 | central extension (φ=1) | 160 | | C2^2.50(D4xC10) | 320,929 |
C22.51(D4×C10) = D8×C20 | central extension (φ=1) | 160 | | C2^2.51(D4xC10) | 320,938 |
C22.52(D4×C10) = SD16×C20 | central extension (φ=1) | 160 | | C2^2.52(D4xC10) | 320,939 |
C22.53(D4×C10) = Q16×C20 | central extension (φ=1) | 320 | | C2^2.53(D4xC10) | 320,940 |
C22.54(D4×C10) = C5×SD16⋊C4 | central extension (φ=1) | 160 | | C2^2.54(D4xC10) | 320,941 |
C22.55(D4×C10) = C5×Q16⋊C4 | central extension (φ=1) | 320 | | C2^2.55(D4xC10) | 320,942 |
C22.56(D4×C10) = C5×D8⋊C4 | central extension (φ=1) | 160 | | C2^2.56(D4xC10) | 320,943 |
C22.57(D4×C10) = C22⋊C4×C2×C10 | central extension (φ=1) | 160 | | C2^2.57(D4xC10) | 320,1514 |
C22.58(D4×C10) = C4⋊C4×C2×C10 | central extension (φ=1) | 320 | | C2^2.58(D4xC10) | 320,1515 |
C22.59(D4×C10) = D4×C2×C20 | central extension (φ=1) | 160 | | C2^2.59(D4xC10) | 320,1517 |
C22.60(D4×C10) = C10×C22⋊Q8 | central extension (φ=1) | 160 | | C2^2.60(D4xC10) | 320,1525 |
C22.61(D4×C10) = C10×C22.D4 | central extension (φ=1) | 160 | | C2^2.61(D4xC10) | 320,1526 |
C22.62(D4×C10) = C10×C4.4D4 | central extension (φ=1) | 160 | | C2^2.62(D4xC10) | 320,1528 |
C22.63(D4×C10) = C10×C4⋊1D4 | central extension (φ=1) | 160 | | C2^2.63(D4xC10) | 320,1532 |
C22.64(D4×C10) = C10×C4⋊Q8 | central extension (φ=1) | 320 | | C2^2.64(D4xC10) | 320,1533 |
C22.65(D4×C10) = D8×C2×C10 | central extension (φ=1) | 160 | | C2^2.65(D4xC10) | 320,1571 |
C22.66(D4×C10) = SD16×C2×C10 | central extension (φ=1) | 160 | | C2^2.66(D4xC10) | 320,1572 |
C22.67(D4×C10) = Q16×C2×C10 | central extension (φ=1) | 320 | | C2^2.67(D4xC10) | 320,1573 |
C22.68(D4×C10) = C5×C23⋊2D4 | central stem extension (φ=1) | 160 | | C2^2.68(D4xC10) | 320,893 |
C22.69(D4×C10) = C5×C23⋊Q8 | central stem extension (φ=1) | 160 | | C2^2.69(D4xC10) | 320,894 |
C22.70(D4×C10) = C5×C23.10D4 | central stem extension (φ=1) | 160 | | C2^2.70(D4xC10) | 320,895 |
C22.71(D4×C10) = C5×C23.78C23 | central stem extension (φ=1) | 320 | | C2^2.71(D4xC10) | 320,896 |
C22.72(D4×C10) = C5×C23.Q8 | central stem extension (φ=1) | 160 | | C2^2.72(D4xC10) | 320,897 |
C22.73(D4×C10) = C5×C23.11D4 | central stem extension (φ=1) | 160 | | C2^2.73(D4xC10) | 320,898 |
C22.74(D4×C10) = C5×C23.81C23 | central stem extension (φ=1) | 320 | | C2^2.74(D4xC10) | 320,899 |
C22.75(D4×C10) = C5×C23.4Q8 | central stem extension (φ=1) | 160 | | C2^2.75(D4xC10) | 320,900 |
C22.76(D4×C10) = C5×C23.83C23 | central stem extension (φ=1) | 320 | | C2^2.76(D4xC10) | 320,901 |
C22.77(D4×C10) = C5×C22⋊D8 | central stem extension (φ=1) | 80 | | C2^2.77(D4xC10) | 320,948 |
C22.78(D4×C10) = C5×Q8⋊D4 | central stem extension (φ=1) | 160 | | C2^2.78(D4xC10) | 320,949 |
C22.79(D4×C10) = C5×D4⋊D4 | central stem extension (φ=1) | 160 | | C2^2.79(D4xC10) | 320,950 |
C22.80(D4×C10) = C5×C22⋊SD16 | central stem extension (φ=1) | 80 | | C2^2.80(D4xC10) | 320,951 |
C22.81(D4×C10) = C5×C22⋊Q16 | central stem extension (φ=1) | 160 | | C2^2.81(D4xC10) | 320,952 |
C22.82(D4×C10) = C5×D4.7D4 | central stem extension (φ=1) | 160 | | C2^2.82(D4xC10) | 320,953 |
C22.83(D4×C10) = C5×C4⋊D8 | central stem extension (φ=1) | 160 | | C2^2.83(D4xC10) | 320,960 |
C22.84(D4×C10) = C5×C4⋊SD16 | central stem extension (φ=1) | 160 | | C2^2.84(D4xC10) | 320,961 |
C22.85(D4×C10) = C5×D4.D4 | central stem extension (φ=1) | 160 | | C2^2.85(D4xC10) | 320,962 |
C22.86(D4×C10) = C5×C4⋊2Q16 | central stem extension (φ=1) | 320 | | C2^2.86(D4xC10) | 320,963 |
C22.87(D4×C10) = C5×D4.2D4 | central stem extension (φ=1) | 160 | | C2^2.87(D4xC10) | 320,964 |
C22.88(D4×C10) = C5×Q8.D4 | central stem extension (φ=1) | 160 | | C2^2.88(D4xC10) | 320,965 |
C22.89(D4×C10) = C5×C8⋊8D4 | central stem extension (φ=1) | 160 | | C2^2.89(D4xC10) | 320,966 |
C22.90(D4×C10) = C5×C8⋊7D4 | central stem extension (φ=1) | 160 | | C2^2.90(D4xC10) | 320,967 |
C22.91(D4×C10) = C5×C8.18D4 | central stem extension (φ=1) | 160 | | C2^2.91(D4xC10) | 320,968 |
C22.92(D4×C10) = C5×C8⋊D4 | central stem extension (φ=1) | 160 | | C2^2.92(D4xC10) | 320,969 |
C22.93(D4×C10) = C5×C8⋊2D4 | central stem extension (φ=1) | 160 | | C2^2.93(D4xC10) | 320,970 |
C22.94(D4×C10) = C5×C8.D4 | central stem extension (φ=1) | 160 | | C2^2.94(D4xC10) | 320,971 |
C22.95(D4×C10) = C5×D4⋊Q8 | central stem extension (φ=1) | 160 | | C2^2.95(D4xC10) | 320,975 |
C22.96(D4×C10) = C5×Q8⋊Q8 | central stem extension (φ=1) | 320 | | C2^2.96(D4xC10) | 320,976 |
C22.97(D4×C10) = C5×D4⋊2Q8 | central stem extension (φ=1) | 160 | | C2^2.97(D4xC10) | 320,977 |
C22.98(D4×C10) = C5×C4.Q16 | central stem extension (φ=1) | 320 | | C2^2.98(D4xC10) | 320,978 |
C22.99(D4×C10) = C5×D4.Q8 | central stem extension (φ=1) | 160 | | C2^2.99(D4xC10) | 320,979 |
C22.100(D4×C10) = C5×Q8.Q8 | central stem extension (φ=1) | 320 | | C2^2.100(D4xC10) | 320,980 |
C22.101(D4×C10) = C5×C22.D8 | central stem extension (φ=1) | 160 | | C2^2.101(D4xC10) | 320,981 |
C22.102(D4×C10) = C5×C23.46D4 | central stem extension (φ=1) | 160 | | C2^2.102(D4xC10) | 320,982 |
C22.103(D4×C10) = C5×C23.19D4 | central stem extension (φ=1) | 160 | | C2^2.103(D4xC10) | 320,983 |
C22.104(D4×C10) = C5×C23.47D4 | central stem extension (φ=1) | 160 | | C2^2.104(D4xC10) | 320,984 |
C22.105(D4×C10) = C5×C23.48D4 | central stem extension (φ=1) | 160 | | C2^2.105(D4xC10) | 320,985 |
C22.106(D4×C10) = C5×C23.20D4 | central stem extension (φ=1) | 160 | | C2^2.106(D4xC10) | 320,986 |
C22.107(D4×C10) = C5×C4.4D8 | central stem extension (φ=1) | 160 | | C2^2.107(D4xC10) | 320,987 |
C22.108(D4×C10) = C5×C4.SD16 | central stem extension (φ=1) | 320 | | C2^2.108(D4xC10) | 320,988 |
C22.109(D4×C10) = C5×C42.78C22 | central stem extension (φ=1) | 160 | | C2^2.109(D4xC10) | 320,989 |
C22.110(D4×C10) = C5×C42.28C22 | central stem extension (φ=1) | 160 | | C2^2.110(D4xC10) | 320,990 |
C22.111(D4×C10) = C5×C42.29C22 | central stem extension (φ=1) | 160 | | C2^2.111(D4xC10) | 320,991 |
C22.112(D4×C10) = C5×C42.30C22 | central stem extension (φ=1) | 320 | | C2^2.112(D4xC10) | 320,992 |
C22.113(D4×C10) = C5×C8⋊5D4 | central stem extension (φ=1) | 160 | | C2^2.113(D4xC10) | 320,993 |
C22.114(D4×C10) = C5×C8⋊4D4 | central stem extension (φ=1) | 160 | | C2^2.114(D4xC10) | 320,994 |
C22.115(D4×C10) = C5×C4⋊Q16 | central stem extension (φ=1) | 320 | | C2^2.115(D4xC10) | 320,995 |
C22.116(D4×C10) = C5×C8.12D4 | central stem extension (φ=1) | 160 | | C2^2.116(D4xC10) | 320,996 |
C22.117(D4×C10) = C5×C8⋊3D4 | central stem extension (φ=1) | 160 | | C2^2.117(D4xC10) | 320,997 |
C22.118(D4×C10) = C5×C8.2D4 | central stem extension (φ=1) | 160 | | C2^2.118(D4xC10) | 320,998 |
C22.119(D4×C10) = C5×C8⋊3Q8 | central stem extension (φ=1) | 320 | | C2^2.119(D4xC10) | 320,999 |
C22.120(D4×C10) = C5×C8.5Q8 | central stem extension (φ=1) | 320 | | C2^2.120(D4xC10) | 320,1000 |
C22.121(D4×C10) = C5×C8⋊2Q8 | central stem extension (φ=1) | 320 | | C2^2.121(D4xC10) | 320,1001 |
C22.122(D4×C10) = C5×C8⋊Q8 | central stem extension (φ=1) | 320 | | C2^2.122(D4xC10) | 320,1002 |