Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄×D₇

Direct product G=N×Q with N=C₂ and Q=D₄×D₇

		d	ρ	Label	ID
C₂×D₄×D₇		56		C2xD4xD7	224,178

Non-split extensions G=N.Q with N=C₂ and Q=D₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₄×D₇) = D₇×C₂²⋊C₄	central extension (φ=1)	56		C2.1(D4xD7)	224,75
C₂.₂(D₄×D₇) = Dic₇⋊₄D₄	central extension (φ=1)	112		C2.2(D4xD7)	224,76
C₂.₃(D₄×D₇) = D₇×C₄⋊C₄	central extension (φ=1)	112		C2.3(D4xD7)	224,86
C₂.₄(D₄×D₇) = D₂₈⋊C₄	central extension (φ=1)	112		C2.4(D4xD7)	224,88
C₂.₅(D₄×D₇) = D₄×Dic₇	central extension (φ=1)	112		C2.5(D4xD7)	224,129
C₂.₆(D₄×D₇) = C₂²⋊Dic₁₄	central stem extension (φ=1)	112		C2.6(D4xD7)	224,73
C₂.₇(D₄×D₇) = C₂²⋊D₂₈	central stem extension (φ=1)	56		C2.7(D4xD7)	224,77
C₂.₈(D₄×D₇) = D₁₄.D₄	central stem extension (φ=1)	112		C2.8(D4xD7)	224,78
C₂.₉(D₄×D₇) = D₁₄⋊D₄	central stem extension (φ=1)	112		C2.9(D4xD7)	224,79
C₂.₁₀(D₄×D₇) = Dic₇.D₄	central stem extension (φ=1)	112		C2.10(D4xD7)	224,80
C₂.₁₁(D₄×D₇) = C₂₈⋊Q₈	central stem extension (φ=1)	224		C2.11(D4xD7)	224,83
C₂.₁₂(D₄×D₇) = D₁₄.₅D₄	central stem extension (φ=1)	112		C2.12(D4xD7)	224,89
C₂.₁₃(D₄×D₇) = C₄⋊D₂₈	central stem extension (φ=1)	112		C2.13(D4xD7)	224,90
C₂.₁₄(D₄×D₇) = D₁₄⋊Q₈	central stem extension (φ=1)	112		C2.14(D4xD7)	224,91
C₂.₁₅(D₄×D₇) = D₇×D₈	central stem extension (φ=1)	56	4+	C2.15(D4xD7)	224,105
C₂.₁₆(D₄×D₇) = D₈⋊D₇	central stem extension (φ=1)	56	4	C2.16(D4xD7)	224,106
C₂.₁₇(D₄×D₇) = D₈⋊₃D₇	central stem extension (φ=1)	112	4-	C2.17(D4xD7)	224,107
C₂.₁₈(D₄×D₇) = D₇×SD₁₆	central stem extension (φ=1)	56	4	C2.18(D4xD7)	224,108
C₂.₁₉(D₄×D₇) = D₅₆⋊C₂	central stem extension (φ=1)	56	4+	C2.19(D4xD7)	224,109
C₂.₂₀(D₄×D₇) = SD₁₆⋊D₇	central stem extension (φ=1)	112	4-	C2.20(D4xD7)	224,110
C₂.₂₁(D₄×D₇) = SD₁₆⋊₃D₇	central stem extension (φ=1)	112	4	C2.21(D4xD7)	224,111
C₂.₂₂(D₄×D₇) = D₇×Q₁₆	central stem extension (φ=1)	112	4-	C2.22(D4xD7)	224,112
C₂.₂₃(D₄×D₇) = Q₁₆⋊D₇	central stem extension (φ=1)	112	4	C2.23(D4xD7)	224,113
C₂.₂₄(D₄×D₇) = Q₈.D₁₄	central stem extension (φ=1)	112	4+	C2.24(D4xD7)	224,114
C₂.₂₅(D₄×D₇) = C₂³⋊D₁₄	central stem extension (φ=1)	56		C2.25(D4xD7)	224,132
C₂.₂₆(D₄×D₇) = C₂₈⋊₂D₄	central stem extension (φ=1)	112		C2.26(D4xD7)	224,133
C₂.₂₇(D₄×D₇) = Dic₇⋊D₄	central stem extension (φ=1)	112		C2.27(D4xD7)	224,134
C₂.₂₈(D₄×D₇) = C₂₈⋊D₄	central stem extension (φ=1)	112		C2.28(D4xD7)	224,135

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Extensions 1→N→G→Q→1 with N=C2 and Q=D4×D7

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄×D₇