Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄×F₅

Direct product G=N×Q with N=C₂ and Q=D₄×F₅

		d	ρ	Label	ID
C₂×D₄×F₅		40		C2xD4xF5	320,1595

Non-split extensions G=N.Q with N=C₂ and Q=D₄×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₄×F₅) = C₅⋊C₈⋊₈D₄	central extension (φ=1)	160		C2.1(D4xF5)	320,1030
C₂.₂(D₄×F₅) = C₂²⋊C₄×F₅	central extension (φ=1)	40		C2.2(D4xF5)	320,1036
C₂.₃(D₄×F₅) = D₂₀⋊₂C₈	central extension (φ=1)	160		C2.3(D4xF5)	320,1040
C₂.₄(D₄×F₅) = C₄⋊C₄×F₅	central extension (φ=1)	80		C2.4(D4xF5)	320,1048
C₂.₅(D₄×F₅) = D₄×C₅⋊C₈	central extension (φ=1)	160		C2.5(D4xF5)	320,1110
C₂.₆(D₄×F₅) = C₅⋊C₈⋊D₄	central stem extension (φ=1)	160		C2.6(D4xF5)	320,1031
C₂.₇(D₄×F₅) = D₁₀⋊M₄(2)	central stem extension (φ=1)	160		C2.7(D4xF5)	320,1032
C₂.₈(D₄×F₅) = Dic₅⋊M₄(2)	central stem extension (φ=1)	160		C2.8(D4xF5)	320,1033
C₂.₉(D₄×F₅) = D₁₀⋊(C₄⋊C₄)	central stem extension (φ=1)	40		C2.9(D4xF5)	320,1037
C₂.₁₀(D₄×F₅) = C₁₀.(C₄×D₄)	central stem extension (φ=1)	80		C2.10(D4xF5)	320,1038
C₂.₁₁(D₄×F₅) = D₁₀⋊₂M₄(2)	central stem extension (φ=1)	160		C2.11(D4xF5)	320,1042
C₂.₁₂(D₄×F₅) = C₂₀⋊M₄(2)	central stem extension (φ=1)	160		C2.12(D4xF5)	320,1043
C₂.₁₃(D₄×F₅) = C₄⋊C₄⋊₅F₅	central stem extension (φ=1)	80		C2.13(D4xF5)	320,1049
C₂.₁₄(D₄×F₅) = C₂₀⋊(C₄⋊C₄)	central stem extension (φ=1)	80		C2.14(D4xF5)	320,1050
C₂.₁₅(D₄×F₅) = D₈×F₅	central stem extension (φ=1)	40	8+	C2.15(D4xF5)	320,1068
C₂.₁₆(D₄×F₅) = D₄₀⋊C₄	central stem extension (φ=1)	40	8+	C2.16(D4xF5)	320,1069
C₂.₁₇(D₄×F₅) = D₈⋊₅F₅	central stem extension (φ=1)	80	8-	C2.17(D4xF5)	320,1070
C₂.₁₈(D₄×F₅) = D₈⋊F₅	central stem extension (φ=1)	80	8-	C2.18(D4xF5)	320,1071
C₂.₁₉(D₄×F₅) = SD₁₆×F₅	central stem extension (φ=1)	40	8	C2.19(D4xF5)	320,1072
C₂.₂₀(D₄×F₅) = SD₁₆⋊F₅	central stem extension (φ=1)	40	8	C2.20(D4xF5)	320,1073
C₂.₂₁(D₄×F₅) = SD₁₆⋊₃F₅	central stem extension (φ=1)	80	8	C2.21(D4xF5)	320,1074
C₂.₂₂(D₄×F₅) = SD₁₆⋊₂F₅	central stem extension (φ=1)	80	8	C2.22(D4xF5)	320,1075
C₂.₂₃(D₄×F₅) = Q₁₆×F₅	central stem extension (φ=1)	80	8-	C2.23(D4xF5)	320,1076
C₂.₂₄(D₄×F₅) = Dic₂₀⋊C₄	central stem extension (φ=1)	80	8-	C2.24(D4xF5)	320,1077
C₂.₂₅(D₄×F₅) = Q₁₆⋊₅F₅	central stem extension (φ=1)	80	8+	C2.25(D4xF5)	320,1078
C₂.₂₆(D₄×F₅) = Q₁₆⋊F₅	central stem extension (φ=1)	80	8+	C2.26(D4xF5)	320,1079
C₂.₂₇(D₄×F₅) = C₅⋊C₈⋊₇D₄	central stem extension (φ=1)	160		C2.27(D4xF5)	320,1111
C₂.₂₈(D₄×F₅) = C₂₀⋊₂M₄(2)	central stem extension (φ=1)	160		C2.28(D4xF5)	320,1112
C₂.₂₉(D₄×F₅) = (C₂×F₅)⋊D₄	central stem extension (φ=1)	40		C2.29(D4xF5)	320,1117
C₂.₃₀(D₄×F₅) = C₂.(D₄×F₅)	central stem extension (φ=1)	80		C2.30(D4xF5)	320,1118

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Extensions 1→N→G→Q→1 with N=C2 and Q=D4×F5

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄×F₅