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Extensions 1→N→G→Q→1 with N=C10 and Q=C22⋊C8

Direct product G=N×Q with N=C10 and Q=C22⋊C8
dρLabelID
C10×C22⋊C8160C10xC2^2:C8320,907

Semidirect products G=N:Q with N=C10 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C10⋊1(C22⋊C8) = C2×D10⋊C8φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10160C10:1(C2^2:C8)320,1089
C10⋊2(C22⋊C8) = C2×C23.2F5φ: C22⋊C8/C23 → C4 ⊆ Aut C10160C10:2(C2^2:C8)320,1135
C10⋊3(C22⋊C8) = C2×D10⋊1C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10160C10:3(C2^2:C8)320,735
C10⋊4(C22⋊C8) = C2×C20.55D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10160C10:4(C2^2:C8)320,833

Non-split extensions G=N.Q with N=C10 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C10.1(C22⋊C8) = D20⋊C8φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10160C10.1(C2^2:C8)320,209
C10.2(C22⋊C8) = Dic10⋊1C8φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10320C10.2(C2^2:C8)320,210
C10.3(C22⋊C8) = D10⋊C16φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10160C10.3(C2^2:C8)320,225
C10.4(C22⋊C8) = C20.10M4(2)φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10804C10.4(C2^2:C8)320,229
C10.5(C22⋊C8) = D20.C8φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C101608C10.5(C2^2:C8)320,236
C10.6(C22⋊C8) = (C22×C4).F5φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10160C10.6(C2^2:C8)320,252
C10.7(C22⋊C8) = C5⋊(C23⋊C8)φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C1080C10.7(C2^2:C8)320,253
C10.8(C22⋊C8) = C10.(C4⋊C8)φ: C22⋊C8/C2×C4 → C4 ⊆ Aut C10320C10.8(C2^2:C8)320,256
C10.9(C22⋊C8) = C10.6M5(2)φ: C22⋊C8/C23 → C4 ⊆ Aut C10160C10.9(C2^2:C8)320,249
C10.10(C22⋊C8) = C20.29M4(2)φ: C22⋊C8/C23 → C4 ⊆ Aut C10804C10.10(C2^2:C8)320,250
C10.11(C22⋊C8) = (C2×C20)⋊1C8φ: C22⋊C8/C23 → C4 ⊆ Aut C10160C10.11(C2^2:C8)320,251
C10.12(C22⋊C8) = Dic5.23D8φ: C22⋊C8/C23 → C4 ⊆ Aut C10160C10.12(C2^2:C8)320,262
C10.13(C22⋊C8) = Dic5.12Q16φ: C22⋊C8/C23 → C4 ⊆ Aut C10320C10.13(C2^2:C8)320,268
C10.14(C22⋊C8) = D4.(C5⋊C8)φ: C22⋊C8/C23 → C4 ⊆ Aut C101608C10.14(C2^2:C8)320,270
C10.15(C22⋊C8) = C24.F5φ: C22⋊C8/C23 → C4 ⊆ Aut C1080C10.15(C2^2:C8)320,271
C10.16(C22⋊C8) = Dic10⋊3C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10320C10.16(C2^2:C8)320,14
C10.17(C22⋊C8) = D20⋊3C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10160C10.17(C2^2:C8)320,17
C10.18(C22⋊C8) = C5⋊3(C23⋊C8)φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C1080C10.18(C2^2:C8)320,26
C10.19(C22⋊C8) = (C2×Dic5)⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10160C10.19(C2^2:C8)320,27
C10.20(C22⋊C8) = D20⋊4C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10160C10.20(C2^2:C8)320,41
C10.21(C22⋊C8) = Dic10⋊4C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10320C10.21(C2^2:C8)320,42
C10.22(C22⋊C8) = D10⋊1C16φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10160C10.22(C2^2:C8)320,65
C10.23(C22⋊C8) = D20.3C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C101602C10.23(C2^2:C8)320,66
C10.24(C22⋊C8) = C8.25D20φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10804C10.24(C2^2:C8)320,72
C10.25(C22⋊C8) = D20.4C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C101604C10.25(C2^2:C8)320,73
C10.26(C22⋊C8) = (C2×C40)⋊15C4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C10320C10.26(C2^2:C8)320,108
C10.27(C22⋊C8) = (C2×C20)⋊8C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10320C10.27(C2^2:C8)320,82
C10.28(C22⋊C8) = C24.Dic5φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C1080C10.28(C2^2:C8)320,83
C10.29(C22⋊C8) = (C2×C20)⋊C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10160C10.29(C2^2:C8)320,86
C10.30(C22⋊C8) = C20.57D8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10160C10.30(C2^2:C8)320,92
C10.31(C22⋊C8) = C20.26Q16φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10320C10.31(C2^2:C8)320,93
C10.32(C22⋊C8) = C40.91D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10160C10.32(C2^2:C8)320,107
C10.33(C22⋊C8) = C40.D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C10804C10.33(C2^2:C8)320,111
C10.34(C22⋊C8) = C40.92D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C101604C10.34(C2^2:C8)320,119
C10.35(C22⋊C8) = C5×C23⋊C8central extension (φ=1)80C10.35(C2^2:C8)320,128
C10.36(C22⋊C8) = C5×C22.M4(2)central extension (φ=1)160C10.36(C2^2:C8)320,129
C10.37(C22⋊C8) = C5×D4⋊C8central extension (φ=1)160C10.37(C2^2:C8)320,130
C10.38(C22⋊C8) = C5×Q8⋊C8central extension (φ=1)320C10.38(C2^2:C8)320,131
C10.39(C22⋊C8) = C5×C22.7C42central extension (φ=1)320C10.39(C2^2:C8)320,141
C10.40(C22⋊C8) = C5×C22⋊C16central extension (φ=1)160C10.40(C2^2:C8)320,153
C10.41(C22⋊C8) = C5×C23.C8central extension (φ=1)804C10.41(C2^2:C8)320,154
C10.42(C22⋊C8) = C5×D4.C8central extension (φ=1)1602C10.42(C2^2:C8)320,155

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