Extensions 1→N→G→Q→1 with N=C8 and Q=C22⋊C4

Direct product G=N×Q with N=C8 and Q=C22⋊C4
dρLabelID
C8×C22⋊C464C8xC2^2:C4128,483

Semidirect products G=N:Q with N=C8 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C81(C22⋊C4) = C24.67D4φ: C22⋊C4/C22C22 ⊆ Aut C864C8:1(C2^2:C4)128,541
C82(C22⋊C4) = (C2×D8)⋊10C4φ: C22⋊C4/C22C22 ⊆ Aut C864C8:2(C2^2:C4)128,704
C83(C22⋊C4) = C8⋊(C22⋊C4)φ: C22⋊C4/C22C22 ⊆ Aut C864C8:3(C2^2:C4)128,705
C84(C22⋊C4) = (C2×C4)⋊6D8φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8:4(C2^2:C4)128,702
C85(C22⋊C4) = (C2×C4)⋊9SD16φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8:5(C2^2:C4)128,700
C86(C22⋊C4) = C23.17C42φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8:6(C2^2:C4)128,485
C87(C22⋊C4) = C23.22D8φ: C22⋊C4/C23C2 ⊆ Aut C864C8:7(C2^2:C4)128,540
C88(C22⋊C4) = C24.133D4φ: C22⋊C4/C23C2 ⊆ Aut C864C8:8(C2^2:C4)128,539
C89(C22⋊C4) = C23.36C42φ: C22⋊C4/C23C2 ⊆ Aut C864C8:9(C2^2:C4)128,484

Non-split extensions G=N.Q with N=C8 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C8.1(C22⋊C4) = C24.9Q8φ: C22⋊C4/C22C22 ⊆ Aut C832C8.1(C2^2:C4)128,543
C8.2(C22⋊C4) = (C2×Q16)⋊10C4φ: C22⋊C4/C22C22 ⊆ Aut C8128C8.2(C2^2:C4)128,703
C8.3(C22⋊C4) = C42.116D4φ: C22⋊C4/C22C22 ⊆ Aut C832C8.3(C2^2:C4)128,707
C8.4(C22⋊C4) = C23.39D8φ: C22⋊C4/C22C22 ⊆ Aut C864C8.4(C2^2:C4)128,871
C8.5(C22⋊C4) = C23.40D8φ: C22⋊C4/C22C22 ⊆ Aut C832C8.5(C2^2:C4)128,872
C8.6(C22⋊C4) = C23.41D8φ: C22⋊C4/C22C22 ⊆ Aut C864C8.6(C2^2:C4)128,873
C8.7(C22⋊C4) = C23.20SD16φ: C22⋊C4/C22C22 ⊆ Aut C8324C8.7(C2^2:C4)128,875
C8.8(C22⋊C4) = C2×D82C4φ: C22⋊C4/C22C22 ⊆ Aut C832C8.8(C2^2:C4)128,876
C8.9(C22⋊C4) = C23.13D8φ: C22⋊C4/C22C22 ⊆ Aut C8324C8.9(C2^2:C4)128,877
C8.10(C22⋊C4) = C2×M5(2)⋊C2φ: C22⋊C4/C22C22 ⊆ Aut C832C8.10(C2^2:C4)128,878
C8.11(C22⋊C4) = C2×C8.17D4φ: C22⋊C4/C22C22 ⊆ Aut C864C8.11(C2^2:C4)128,879
C8.12(C22⋊C4) = C23.21SD16φ: C22⋊C4/C22C22 ⊆ Aut C8324C8.12(C2^2:C4)128,880
C8.13(C22⋊C4) = D162C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.13(C2^2:C4)128,147
C8.14(C22⋊C4) = Q322C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C8128C8.14(C2^2:C4)128,148
C8.15(C22⋊C4) = D16.C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C8642C8.15(C2^2:C4)128,149
C8.16(C22⋊C4) = D163C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C8324C8.16(C2^2:C4)128,150
C8.17(C22⋊C4) = M6(2)⋊C2φ: C22⋊C4/C2×C4C2 ⊆ Aut C8324+C8.17(C2^2:C4)128,151
C8.18(C22⋊C4) = C16.18D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C8644-C8.18(C2^2:C4)128,152
C8.19(C22⋊C4) = (C2×C4)⋊6Q16φ: C22⋊C4/C2×C4C2 ⊆ Aut C8128C8.19(C2^2:C4)128,701
C8.20(C22⋊C4) = C42.326D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C832C8.20(C2^2:C4)128,706
C8.21(C22⋊C4) = M4(2).30D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C8324C8.21(C2^2:C4)128,708
C8.22(C22⋊C4) = M4(2).32D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C832C8.22(C2^2:C4)128,710
C8.23(C22⋊C4) = M4(2).33D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.23(C2^2:C4)128,711
C8.24(C22⋊C4) = C2×C2.D16φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.24(C2^2:C4)128,868
C8.25(C22⋊C4) = C2×C2.Q32φ: C22⋊C4/C2×C4C2 ⊆ Aut C8128C8.25(C2^2:C4)128,869
C8.26(C22⋊C4) = C2×D8.C4φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.26(C2^2:C4)128,874
C8.27(C22⋊C4) = M4(2).31D4φ: C22⋊C4/C2×C4C2 ⊆ Aut C832C8.27(C2^2:C4)128,709
C8.28(C22⋊C4) = C23.24D8φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.28(C2^2:C4)128,870
C8.29(C22⋊C4) = (C2×D4).5C8φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.29(C2^2:C4)128,845
C8.30(C22⋊C4) = C2×C23.C8φ: C22⋊C4/C2×C4C2 ⊆ Aut C832C8.30(C2^2:C4)128,846
C8.31(C22⋊C4) = C2×D4.C8φ: C22⋊C4/C2×C4C2 ⊆ Aut C864C8.31(C2^2:C4)128,848
C8.32(C22⋊C4) = M5(2)⋊12C22φ: C22⋊C4/C2×C4C2 ⊆ Aut C8324C8.32(C2^2:C4)128,849
C8.33(C22⋊C4) = C8.7C42φ: C22⋊C4/C23C2 ⊆ Aut C8128C8.33(C2^2:C4)128,112
C8.34(C22⋊C4) = C8.8C42φ: C22⋊C4/C23C2 ⊆ Aut C864C8.34(C2^2:C4)128,113
C8.35(C22⋊C4) = C23.9D8φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.35(C2^2:C4)128,116
C8.36(C22⋊C4) = C8.13C42φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.36(C2^2:C4)128,117
C8.37(C22⋊C4) = C8.2C42φ: C22⋊C4/C23C2 ⊆ Aut C864C8.37(C2^2:C4)128,119
C8.38(C22⋊C4) = C8.4C42φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.38(C2^2:C4)128,121
C8.39(C22⋊C4) = C4○D4.5Q8φ: C22⋊C4/C23C2 ⊆ Aut C864C8.39(C2^2:C4)128,548
C8.40(C22⋊C4) = C8.9C42φ: C22⋊C4/C23C2 ⊆ Aut C864C8.40(C2^2:C4)128,114
C8.41(C22⋊C4) = C8.11C42φ: C22⋊C4/C23C2 ⊆ Aut C832C8.41(C2^2:C4)128,115
C8.42(C22⋊C4) = C8.C42φ: C22⋊C4/C23C2 ⊆ Aut C832C8.42(C2^2:C4)128,118
C8.43(C22⋊C4) = M5(2).C4φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.43(C2^2:C4)128,120
C8.44(C22⋊C4) = C24.19Q8φ: C22⋊C4/C23C2 ⊆ Aut C832C8.44(C2^2:C4)128,542
C8.45(C22⋊C4) = (C2×D4).24Q8φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.45(C2^2:C4)128,544
C8.46(C22⋊C4) = (C2×C8).103D4φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.46(C2^2:C4)128,545
C8.47(C22⋊C4) = C8○D4⋊C4φ: C22⋊C4/C23C2 ⊆ Aut C8324C8.47(C2^2:C4)128,546
C8.48(C22⋊C4) = C4○D4.4Q8φ: C22⋊C4/C23C2 ⊆ Aut C864C8.48(C2^2:C4)128,547
C8.49(C22⋊C4) = C42.2C8φ: C22⋊C4/C23C2 ⊆ Aut C832C8.49(C2^2:C4)128,107
C8.50(C22⋊C4) = M5(2)⋊C4φ: C22⋊C4/C23C2 ⊆ Aut C864C8.50(C2^2:C4)128,109
C8.51(C22⋊C4) = M5(2)⋊7C4φ: C22⋊C4/C23C2 ⊆ Aut C864C8.51(C2^2:C4)128,111
C8.52(C22⋊C4) = D4.3C42φ: C22⋊C4/C23C2 ⊆ Aut C832C8.52(C2^2:C4)128,497
C8.53(C22⋊C4) = C24.5C8φ: C22⋊C4/C23C2 ⊆ Aut C832C8.53(C2^2:C4)128,844
C8.54(C22⋊C4) = C22.7M5(2)central extension (φ=1)128C8.54(C2^2:C4)128,106
C8.55(C22⋊C4) = C42.7C8central extension (φ=1)32C8.55(C2^2:C4)128,108
C8.56(C22⋊C4) = M4(2).C8central extension (φ=1)324C8.56(C2^2:C4)128,110
C8.57(C22⋊C4) = C22⋊C32central extension (φ=1)64C8.57(C2^2:C4)128,131
C8.58(C22⋊C4) = C23.C16central extension (φ=1)324C8.58(C2^2:C4)128,132
C8.59(C22⋊C4) = D4.C16central extension (φ=1)642C8.59(C2^2:C4)128,133
C8.60(C22⋊C4) = C23.5C42central extension (φ=1)324C8.60(C2^2:C4)128,489
C8.61(C22⋊C4) = Q8.C42central extension (φ=1)32C8.61(C2^2:C4)128,496
C8.62(C22⋊C4) = C2×C22⋊C16central extension (φ=1)64C8.62(C2^2:C4)128,843
C8.63(C22⋊C4) = M5(2).19C22central extension (φ=1)324C8.63(C2^2:C4)128,847

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