Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C52C8

Direct product G=N×Q with N=C22 and Q=C2×C52C8
dρLabelID
C23×C52C8320C2^3xC5:2C8320,1452

Semidirect products G=N:Q with N=C22 and Q=C2×C52C8
extensionφ:Q→Aut NdρLabelID
C221(C2×C52C8) = D4×C52C8φ: C2×C52C8/C52C8C2 ⊆ Aut C22160C2^2:1(C2xC5:2C8)320,637
C222(C2×C52C8) = C2×C20.55D4φ: C2×C52C8/C2×C20C2 ⊆ Aut C22160C2^2:2(C2xC5:2C8)320,833

Non-split extensions G=N.Q with N=C22 and Q=C2×C52C8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C52C8) = C40.70C23φ: C2×C52C8/C52C8C2 ⊆ Aut C221604C2^2.1(C2xC5:2C8)320,767
C22.2(C2×C52C8) = C24.Dic5φ: C2×C52C8/C2×C20C2 ⊆ Aut C2280C2^2.2(C2xC5:2C8)320,83
C22.3(C2×C52C8) = (C2×C20)⋊C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C22160C2^2.3(C2xC5:2C8)320,86
C22.4(C2×C52C8) = C40.D4φ: C2×C52C8/C2×C20C2 ⊆ Aut C22804C2^2.4(C2xC5:2C8)320,111
C22.5(C2×C52C8) = C42.6Dic5φ: C2×C52C8/C2×C20C2 ⊆ Aut C22160C2^2.5(C2xC5:2C8)320,552
C22.6(C2×C52C8) = C2×C20.4C8φ: C2×C52C8/C2×C20C2 ⊆ Aut C22160C2^2.6(C2xC5:2C8)320,724
C22.7(C2×C52C8) = C4×C52C16central extension (φ=1)320C2^2.7(C2xC5:2C8)320,18
C22.8(C2×C52C8) = C40.10C8central extension (φ=1)320C2^2.8(C2xC5:2C8)320,19
C22.9(C2×C52C8) = C203C16central extension (φ=1)320C2^2.9(C2xC5:2C8)320,20
C22.10(C2×C52C8) = (C2×C20)⋊8C8central extension (φ=1)320C2^2.10(C2xC5:2C8)320,82
C22.11(C2×C52C8) = C40.91D4central extension (φ=1)160C2^2.11(C2xC5:2C8)320,107
C22.12(C2×C52C8) = C2×C4×C52C8central extension (φ=1)320C2^2.12(C2xC5:2C8)320,547
C22.13(C2×C52C8) = C2×C203C8central extension (φ=1)320C2^2.13(C2xC5:2C8)320,550
C22.14(C2×C52C8) = C22×C52C16central extension (φ=1)320C2^2.14(C2xC5:2C8)320,723

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