Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₈Q₈

Direct product G=N×Q with N=C₂ and Q=C₂³.₈Q₈

		d	ρ	Label	ID
C₂×C₂³.₈Q₈		64		C2xC2^3.8Q8	128,1018

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₈Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₈Q₈) = C₂⁴.₁₇Q₈	central extension (φ=1)	64		C2.1(C2^3.8Q8)	128,165
C₂.₂(C₂³.₈Q₈) = C₂⁴.₆₂₆C₂³	central extension (φ=1)	128		C2.2(C2^3.8Q8)	128,168
C₂.₃(C₂³.₈Q₈) = C₂³.₂₁M₄(2)	central extension (φ=1)	64		C2.3(C2^3.8Q8)	128,582
C₂.₄(C₂³.₈Q₈) = C₂⁴.₅Q₈	central stem extension (φ=1)	64		C2.4(C2^3.8Q8)	128,171
C₂.₅(C₂³.₈Q₈) = C₂⁴.₆₃₂C₂³	central stem extension (φ=1)	128		C2.5(C2^3.8Q8)	128,174
C₂.₆(C₂³.₈Q₈) = C₂⁴.₆₃₄C₂³	central stem extension (φ=1)	128		C2.6(C2^3.8Q8)	128,176
C₂.₇(C₂³.₈Q₈) = (C₂×C₈).₁₉₅D₄	central stem extension (φ=1)	64		C2.7(C2^3.8Q8)	128,583
C₂.₈(C₂³.₈Q₈) = C₂³.₃₇D₈	central stem extension (φ=1)	64		C2.8(C2^3.8Q8)	128,584
C₂.₉(C₂³.₈Q₈) = C₂⁴.₁₅₉D₄	central stem extension (φ=1)	64		C2.9(C2^3.8Q8)	128,585
C₂.₁₀(C₂³.₈Q₈) = C₂⁴.₇₁D₄	central stem extension (φ=1)	64		C2.10(C2^3.8Q8)	128,586
C₂.₁₁(C₂³.₈Q₈) = C₂⁴.₁₀Q₈	central stem extension (φ=1)	32		C2.11(C2^3.8Q8)	128,587
C₂.₁₂(C₂³.₈Q₈) = C₂⁴.₂₁D₄	central stem extension (φ=1)	32		C2.12(C2^3.8Q8)	128,588
C₂.₁₃(C₂³.₈Q₈) = C₄.₁₀D₄⋊₂C₄	central stem extension (φ=1)	32		C2.13(C2^3.8Q8)	128,589
C₂.₁₄(C₂³.₈Q₈) = M₄(2).₄₀D₄	central stem extension (φ=1)	32	4	C2.14(C2^3.8Q8)	128,590
C₂.₁₅(C₂³.₈Q₈) = C₄≀C₂⋊C₄	central stem extension (φ=1)	32		C2.15(C2^3.8Q8)	128,591
C₂.₁₆(C₂³.₈Q₈) = C₄²⋊₉(C₂×C₄)	central stem extension (φ=1)	32		C2.16(C2^3.8Q8)	128,592
C₂.₁₇(C₂³.₈Q₈) = M₄(2).₄₁D₄	central stem extension (φ=1)	16	4	C2.17(C2^3.8Q8)	128,593
C₂.₁₈(C₂³.₈Q₈) = C₂.(C₄×D₈)	central stem extension (φ=1)	64		C2.18(C2^3.8Q8)	128,594
C₂.₁₉(C₂³.₈Q₈) = Q₈⋊(C₄⋊C₄)	central stem extension (φ=1)	128		C2.19(C2^3.8Q8)	128,595
C₂.₂₀(C₂³.₈Q₈) = D₄⋊(C₄⋊C₄)	central stem extension (φ=1)	64		C2.20(C2^3.8Q8)	128,596
C₂.₂₁(C₂³.₈Q₈) = Q₈⋊C₄⋊C₄	central stem extension (φ=1)	128		C2.21(C2^3.8Q8)	128,597
C₂.₂₂(C₂³.₈Q₈) = M₄(2).₄₂D₄	central stem extension (φ=1)	32		C2.22(C2^3.8Q8)	128,598
C₂.₂₃(C₂³.₈Q₈) = C₂⁴.₂₂D₄	central stem extension (φ=1)	32		C2.23(C2^3.8Q8)	128,599
C₂.₂₄(C₂³.₈Q₈) = (C₂×D₄).Q₈	central stem extension (φ=1)	32	4	C2.24(C2^3.8Q8)	128,600

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.8Q8

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₈Q₈