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

Direct product G=N×Q with N=C2×C5⋊C8 and Q=C2
dρLabelID
C22×C5⋊C8160C2^2xC5:C8160,210

Semidirect products G=N:Q with N=C2×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8)⋊1C2 = D10⋊C8φ: C2/C1C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):1C2160,78
(C2×C5⋊C8)⋊2C2 = C23.2F5φ: C2/C1C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):2C2160,87
(C2×C5⋊C8)⋊3C2 = C2×C4.F5φ: C2/C1C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):3C2160,201
(C2×C5⋊C8)⋊4C2 = D4.F5φ: C2/C1C2 ⊆ Out C2×C5⋊C8808-(C2xC5:C8):4C2160,206
(C2×C5⋊C8)⋊5C2 = C2×C22.F5φ: C2/C1C2 ⊆ Out C2×C5⋊C880(C2xC5:C8):5C2160,211
(C2×C5⋊C8)⋊6C2 = C2×D5⋊C8φ: trivial image80(C2xC5:C8):6C2160,200

Non-split extensions G=N.Q with N=C2×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C5⋊C8).1C2 = C20⋊C8φ: C2/C1C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).1C2160,76
(C2×C5⋊C8).2C2 = C10.C42φ: C2/C1C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).2C2160,77
(C2×C5⋊C8).3C2 = Dic5⋊C8φ: C2/C1C2 ⊆ Out C2×C5⋊C8160(C2xC5:C8).3C2160,79
(C2×C5⋊C8).4C2 = C4×C5⋊C8φ: trivial image160(C2xC5:C8).4C2160,75

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