Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₇Q₈

Direct product G=N×Q with N=C₂ and Q=C₂³.₇Q₈

		d	ρ	Label	ID
C₂×C₂³.₇Q₈		64		C2xC2^3.7Q8	128,1010

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₇Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₇Q₈) = C₂⁴.₁₇Q₈	central extension (φ=1)	64		C2.1(C2^3.7Q8)	128,165
C₂.₂(C₂³.₇Q₈) = C₂⁴.₆₂₄C₂³	central extension (φ=1)	128		C2.2(C2^3.7Q8)	128,166
C₂.₃(C₂³.₇Q₈) = C₂⁴.₆₂₅C₂³	central extension (φ=1)	128		C2.3(C2^3.7Q8)	128,167
C₂.₄(C₂³.₇Q₈) = C₄².₄₂₅D₄	central extension (φ=1)	64		C2.4(C2^3.7Q8)	128,529
C₂.₅(C₂³.₇Q₈) = C₂⁴.₅Q₈	central stem extension (φ=1)	64		C2.5(C2^3.7Q8)	128,171
C₂.₆(C₂³.₇Q₈) = C₂⁴.₆₃₁C₂³	central stem extension (φ=1)	128		C2.6(C2^3.7Q8)	128,173
C₂.₇(C₂³.₇Q₈) = C₄².₉₅D₄	central stem extension (φ=1)	64		C2.7(C2^3.7Q8)	128,530
C₂.₈(C₂³.₇Q₈) = C₂⁴.₁₆₇C₂³	central stem extension (φ=1)	32		C2.8(C2^3.7Q8)	128,531
C₂.₉(C₂³.₇Q₈) = C₄².₉₆D₄	central stem extension (φ=1)	32		C2.9(C2^3.7Q8)	128,532
C₂.₁₀(C₂³.₇Q₈) = C₄².₉₇D₄	central stem extension (φ=1)	64		C2.10(C2^3.7Q8)	128,533
C₂.₁₁(C₂³.₇Q₈) = C₄².₉₈D₄	central stem extension (φ=1)	64		C2.11(C2^3.7Q8)	128,534
C₂.₁₂(C₂³.₇Q₈) = C₄².₉₉D₄	central stem extension (φ=1)	128		C2.12(C2^3.7Q8)	128,535
C₂.₁₃(C₂³.₇Q₈) = C₄².₁₀₀D₄	central stem extension (φ=1)	64		C2.13(C2^3.7Q8)	128,536
C₂.₁₄(C₂³.₇Q₈) = C₄².₁₀₁D₄	central stem extension (φ=1)	128		C2.14(C2^3.7Q8)	128,537
C₂.₁₅(C₂³.₇Q₈) = C₄².₁₀₂D₄	central stem extension (φ=1)	32		C2.15(C2^3.7Q8)	128,538
C₂.₁₆(C₂³.₇Q₈) = C₂⁴.₁₃₃D₄	central stem extension (φ=1)	64		C2.16(C2^3.7Q8)	128,539
C₂.₁₇(C₂³.₇Q₈) = C₂³.₂₂D₈	central stem extension (φ=1)	64		C2.17(C2^3.7Q8)	128,540
C₂.₁₈(C₂³.₇Q₈) = C₂⁴.₆₇D₄	central stem extension (φ=1)	64		C2.18(C2^3.7Q8)	128,541
C₂.₁₉(C₂³.₇Q₈) = C₂⁴.₁₉Q₈	central stem extension (φ=1)	32		C2.19(C2^3.7Q8)	128,542
C₂.₂₀(C₂³.₇Q₈) = C₂⁴.₉Q₈	central stem extension (φ=1)	32		C2.20(C2^3.7Q8)	128,543
C₂.₂₁(C₂³.₇Q₈) = (C₂×D₄).₂₄Q₈	central stem extension (φ=1)	32	4	C2.21(C2^3.7Q8)	128,544
C₂.₂₂(C₂³.₇Q₈) = (C₂×C₈).₁₀₃D₄	central stem extension (φ=1)	32	4	C2.22(C2^3.7Q8)	128,545
C₂.₂₃(C₂³.₇Q₈) = C₈○D₄⋊C₄	central stem extension (φ=1)	32	4	C2.23(C2^3.7Q8)	128,546
C₂.₂₄(C₂³.₇Q₈) = C₄○D₄.₄Q₈	central stem extension (φ=1)	64		C2.24(C2^3.7Q8)	128,547
C₂.₂₅(C₂³.₇Q₈) = C₄○D₄.₅Q₈	central stem extension (φ=1)	64		C2.25(C2^3.7Q8)	128,548

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.7Q8

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₇Q₈