Extensions 1→N→G→Q→1 with N=C10 and Q=C2×C8

Direct product G=N×Q with N=C10 and Q=C2×C8
dρLabelID
C22×C40160C2^2xC40160,190

Semidirect products G=N:Q with N=C10 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C101(C2×C8) = C2×D5⋊C8φ: C2×C8/C4C4 ⊆ Aut C1080C10:1(C2xC8)160,200
C102(C2×C8) = C22×C5⋊C8φ: C2×C8/C22C4 ⊆ Aut C10160C10:2(C2xC8)160,210
C103(C2×C8) = D5×C2×C8φ: C2×C8/C8C2 ⊆ Aut C1080C10:3(C2xC8)160,120
C104(C2×C8) = C22×C52C8φ: C2×C8/C2×C4C2 ⊆ Aut C10160C10:4(C2xC8)160,141

Non-split extensions G=N.Q with N=C10 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C10.1(C2×C8) = D5⋊C16φ: C2×C8/C4C4 ⊆ Aut C10804C10.1(C2xC8)160,64
C10.2(C2×C8) = C8.F5φ: C2×C8/C4C4 ⊆ Aut C10804C10.2(C2xC8)160,65
C10.3(C2×C8) = D10⋊C8φ: C2×C8/C4C4 ⊆ Aut C1080C10.3(C2xC8)160,78
C10.4(C2×C8) = Dic5⋊C8φ: C2×C8/C4C4 ⊆ Aut C10160C10.4(C2xC8)160,79
C10.5(C2×C8) = C2×C5⋊C16φ: C2×C8/C22C4 ⊆ Aut C10160C10.5(C2xC8)160,72
C10.6(C2×C8) = C20.C8φ: C2×C8/C22C4 ⊆ Aut C10804C10.6(C2xC8)160,73
C10.7(C2×C8) = C4×C5⋊C8φ: C2×C8/C22C4 ⊆ Aut C10160C10.7(C2xC8)160,75
C10.8(C2×C8) = C20⋊C8φ: C2×C8/C22C4 ⊆ Aut C10160C10.8(C2xC8)160,76
C10.9(C2×C8) = C23.2F5φ: C2×C8/C22C4 ⊆ Aut C1080C10.9(C2xC8)160,87
C10.10(C2×C8) = D5×C16φ: C2×C8/C8C2 ⊆ Aut C10802C10.10(C2xC8)160,4
C10.11(C2×C8) = C80⋊C2φ: C2×C8/C8C2 ⊆ Aut C10802C10.11(C2xC8)160,5
C10.12(C2×C8) = C8×Dic5φ: C2×C8/C8C2 ⊆ Aut C10160C10.12(C2xC8)160,20
C10.13(C2×C8) = C20.8Q8φ: C2×C8/C8C2 ⊆ Aut C10160C10.13(C2xC8)160,21
C10.14(C2×C8) = D101C8φ: C2×C8/C8C2 ⊆ Aut C1080C10.14(C2xC8)160,27
C10.15(C2×C8) = C4×C52C8φ: C2×C8/C2×C4C2 ⊆ Aut C10160C10.15(C2xC8)160,9
C10.16(C2×C8) = C203C8φ: C2×C8/C2×C4C2 ⊆ Aut C10160C10.16(C2xC8)160,11
C10.17(C2×C8) = C2×C52C16φ: C2×C8/C2×C4C2 ⊆ Aut C10160C10.17(C2xC8)160,18
C10.18(C2×C8) = C20.4C8φ: C2×C8/C2×C4C2 ⊆ Aut C10802C10.18(C2xC8)160,19
C10.19(C2×C8) = C20.55D4φ: C2×C8/C2×C4C2 ⊆ Aut C1080C10.19(C2xC8)160,37
C10.20(C2×C8) = C5×C22⋊C8central extension (φ=1)80C10.20(C2xC8)160,48
C10.21(C2×C8) = C5×C4⋊C8central extension (φ=1)160C10.21(C2xC8)160,55
C10.22(C2×C8) = C5×M5(2)central extension (φ=1)802C10.22(C2xC8)160,60

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