Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄×D₇

Direct product G=N×Q with N=C₂ and Q=C₂×C₄×D₇

		d	ρ	Label	ID
D₇×C₂²×C₄		112		D7xC2^2xC4	224,175

Non-split extensions G=N.Q with N=C₂ and Q=C₂×C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂×C₄×D₇) = D₇×C₄²	central extension (φ=1)	112		C2.1(C2xC4xD7)	224,66
C₂.₂(C₂×C₄×D₇) = D₇×C₂×C₈	central extension (φ=1)	112		C2.2(C2xC4xD7)	224,94
C₂.₃(C₂×C₄×D₇) = C₂×C₄×Dic₇	central extension (φ=1)	224		C2.3(C2xC4xD7)	224,117
C₂.₄(C₂×C₄×D₇) = C₄×Dic₁₄	central stem extension (φ=1)	224		C2.4(C2xC4xD7)	224,63
C₂.₅(C₂×C₄×D₇) = C₄²⋊D₇	central stem extension (φ=1)	112		C2.5(C2xC4xD7)	224,67
C₂.₆(C₂×C₄×D₇) = C₄×D₂₈	central stem extension (φ=1)	112		C2.6(C2xC4xD7)	224,68
C₂.₇(C₂×C₄×D₇) = C₂³.₁₁D₁₄	central stem extension (φ=1)	112		C2.7(C2xC4xD7)	224,72
C₂.₈(C₂×C₄×D₇) = D₇×C₂²⋊C₄	central stem extension (φ=1)	56		C2.8(C2xC4xD7)	224,75
C₂.₉(C₂×C₄×D₇) = Dic₇⋊₄D₄	central stem extension (φ=1)	112		C2.9(C2xC4xD7)	224,76
C₂.₁₀(C₂×C₄×D₇) = Dic₇⋊₃Q₈	central stem extension (φ=1)	224		C2.10(C2xC4xD7)	224,82
C₂.₁₁(C₂×C₄×D₇) = D₇×C₄⋊C₄	central stem extension (φ=1)	112		C2.11(C2xC4xD7)	224,86
C₂.₁₂(C₂×C₄×D₇) = C₄⋊C₄⋊₇D₇	central stem extension (φ=1)	112		C2.12(C2xC4xD7)	224,87
C₂.₁₃(C₂×C₄×D₇) = D₂₈⋊C₄	central stem extension (φ=1)	112		C2.13(C2xC4xD7)	224,88
C₂.₁₄(C₂×C₄×D₇) = C₂×C₈⋊D₇	central stem extension (φ=1)	112		C2.14(C2xC4xD7)	224,95
C₂.₁₅(C₂×C₄×D₇) = D₂₈.₂C₄	central stem extension (φ=1)	112	2	C2.15(C2xC4xD7)	224,96
C₂.₁₆(C₂×C₄×D₇) = D₇×M₄(2)	central stem extension (φ=1)	56	4	C2.16(C2xC4xD7)	224,101
C₂.₁₇(C₂×C₄×D₇) = D₂₈.C₄	central stem extension (φ=1)	112	4	C2.17(C2xC4xD7)	224,102
C₂.₁₈(C₂×C₄×D₇) = C₂×Dic₇⋊C₄	central stem extension (φ=1)	224		C2.18(C2xC4xD7)	224,118
C₂.₁₉(C₂×C₄×D₇) = C₂×D₁₄⋊C₄	central stem extension (φ=1)	112		C2.19(C2xC4xD7)	224,122
C₂.₂₀(C₂×C₄×D₇) = C₄×C₇⋊D₄	central stem extension (φ=1)	112		C2.20(C2xC4xD7)	224,123

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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4×D7

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂×C₄×D₇