# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C5⋊C8

Direct product G=N×Q with N=C22 and Q=C2×C5⋊C8
dρLabelID
C23×C5⋊C8320C2^3xC5:C8320,1605

Semidirect products G=N:Q with N=C22 and Q=C2×C5⋊C8
extensionφ:Q→Aut NdρLabelID
C221(C2×C5⋊C8) = D4×C5⋊C8φ: C2×C5⋊C8/C5⋊C8C2 ⊆ Aut C22160C2^2:1(C2xC5:C8)320,1110
C222(C2×C5⋊C8) = C2×C23.2F5φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C22160C2^2:2(C2xC5:C8)320,1135

Non-split extensions G=N.Q with N=C22 and Q=C2×C5⋊C8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C5⋊C8) = C5⋊C16.C22φ: C2×C5⋊C8/C5⋊C8C2 ⊆ Aut C221608C2^2.1(C2xC5:C8)320,1129
C22.2(C2×C5⋊C8) = C20.29M4(2)φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C22804C2^2.2(C2xC5:C8)320,250
C22.3(C2×C5⋊C8) = (C2×C20)⋊1C8φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C22160C2^2.3(C2xC5:C8)320,251
C22.4(C2×C5⋊C8) = C24.F5φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C2280C2^2.4(C2xC5:C8)320,271
C22.5(C2×C5⋊C8) = C2×C20.C8φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C22160C2^2.5(C2xC5:C8)320,1081
C22.6(C2×C5⋊C8) = Dic5.12M4(2)φ: C2×C5⋊C8/C2×Dic5C2 ⊆ Aut C22160C2^2.6(C2xC5:C8)320,1086
C22.7(C2×C5⋊C8) = C4×C5⋊C16central extension (φ=1)320C2^2.7(C2xC5:C8)320,195
C22.8(C2×C5⋊C8) = C20⋊C16central extension (φ=1)320C2^2.8(C2xC5:C8)320,196
C22.9(C2×C5⋊C8) = C42.4F5central extension (φ=1)320C2^2.9(C2xC5:C8)320,197
C22.10(C2×C5⋊C8) = C10.6M5(2)central extension (φ=1)160C2^2.10(C2xC5:C8)320,249
C22.11(C2×C5⋊C8) = C10.(C4⋊C8)central extension (φ=1)320C2^2.11(C2xC5:C8)320,256
C22.12(C2×C5⋊C8) = C22×C5⋊C16central extension (φ=1)320C2^2.12(C2xC5:C8)320,1080
C22.13(C2×C5⋊C8) = C2×C4×C5⋊C8central extension (φ=1)320C2^2.13(C2xC5:C8)320,1084
C22.14(C2×C5⋊C8) = C2×C20⋊C8central extension (φ=1)320C2^2.14(C2xC5:C8)320,1085

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