Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊₂D₄

Direct product G=N×Q with N=C₂ and Q=C₂³⋊₂D₄

		d	ρ	Label	ID
C₂×C₂³⋊₂D₄		64		C2xC2^3:2D4	128,1116

Non-split extensions G=N.Q with N=C₂ and Q=C₂³⋊₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³⋊₂D₄) = C₂⁴.₅₀D₄	central extension (φ=1)	64		C2.1(C2^3:2D4)	128,170
C₂.₂(C₂³⋊₂D₄) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2.2(C2^3:2D4)	128,171
C₂.₃(C₂³⋊₂D₄) = C₂⁴.₆₃₄C₂³	central extension (φ=1)	128		C2.3(C2^3:2D4)	128,176
C₂.₄(C₂³⋊₂D₄) = C₂³⋊₂D₈	central stem extension (φ=1)	64		C2.4(C2^3:2D4)	128,731
C₂.₅(C₂³⋊₂D₄) = C₂³⋊₃SD₁₆	central stem extension (φ=1)	64		C2.5(C2^3:2D4)	128,732
C₂.₆(C₂³⋊₂D₄) = C₂³⋊₂Q₁₆	central stem extension (φ=1)	64		C2.6(C2^3:2D4)	128,733
C₂.₇(C₂³⋊₂D₄) = C₄²⋊₉D₄	central stem extension (φ=1)	16		C2.7(C2^3:2D4)	128,734
C₂.₈(C₂³⋊₂D₄) = C₄².₁₂₉D₄	central stem extension (φ=1)	32		C2.8(C2^3:2D4)	128,735
C₂.₉(C₂³⋊₂D₄) = C₄²⋊₁₀D₄	central stem extension (φ=1)	32		C2.9(C2^3:2D4)	128,736
C₂.₁₀(C₂³⋊₂D₄) = C₄².₁₃₀D₄	central stem extension (φ=1)	32		C2.10(C2^3:2D4)	128,737
C₂.₁₁(C₂³⋊₂D₄) = M₄(2)⋊D₄	central stem extension (φ=1)	32		C2.11(C2^3:2D4)	128,738
C₂.₁₂(C₂³⋊₂D₄) = M₄(2)⋊₄D₄	central stem extension (φ=1)	32		C2.12(C2^3:2D4)	128,739
C₂.₁₃(C₂³⋊₂D₄) = M₄(2)⋊₅D₄	central stem extension (φ=1)	16	8+	C2.13(C2^3:2D4)	128,740
C₂.₁₄(C₂³⋊₂D₄) = M₄(2).D₄	central stem extension (φ=1)	32	8-	C2.14(C2^3:2D4)	128,741
C₂.₁₅(C₂³⋊₂D₄) = C₄²⋊₂D₄	central stem extension (φ=1)	16	4	C2.15(C2^3:2D4)	128,742
C₂.₁₆(C₂³⋊₂D₄) = (C₂×C₄)⋊₂D₈	central stem extension (φ=1)	64		C2.16(C2^3:2D4)	128,743
C₂.₁₇(C₂³⋊₂D₄) = (C₂²×D₈).C₂	central stem extension (φ=1)	64		C2.17(C2^3:2D4)	128,744
C₂.₁₈(C₂³⋊₂D₄) = (C₂×C₄)⋊₃SD₁₆	central stem extension (φ=1)	64		C2.18(C2^3:2D4)	128,745
C₂.₁₉(C₂³⋊₂D₄) = (C₂×C₈)⋊₂₀D₄	central stem extension (φ=1)	64		C2.19(C2^3:2D4)	128,746
C₂.₂₀(C₂³⋊₂D₄) = (C₂×C₈).₄₁D₄	central stem extension (φ=1)	64		C2.20(C2^3:2D4)	128,747
C₂.₂₁(C₂³⋊₂D₄) = (C₂×C₄)⋊₂Q₁₆	central stem extension (φ=1)	128		C2.21(C2^3:2D4)	128,748
C₂.₂₂(C₂³⋊₂D₄) = (C₂×C₈).₂D₄	central stem extension (φ=1)	32	4	C2.22(C2^3:2D4)	128,749
C₂.₂₃(C₂³⋊₂D₄) = M₄(2).₄D₄	central stem extension (φ=1)	32		C2.23(C2^3:2D4)	128,750
C₂.₂₄(C₂³⋊₂D₄) = M₄(2).₅D₄	central stem extension (φ=1)	32		C2.24(C2^3:2D4)	128,751
C₂.₂₅(C₂³⋊₂D₄) = M₄(2).₆D₄	central stem extension (φ=1)	64		C2.25(C2^3:2D4)	128,752
C₂.₂₆(C₂³⋊₂D₄) = C₂⁴⋊D₄	central stem extension (φ=1)	16		C2.26(C2^3:2D4)	128,753
C₂.₂₇(C₂³⋊₂D₄) = C₂⁴.₃₁D₄	central stem extension (φ=1)	32		C2.27(C2^3:2D4)	128,754

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Extensions 1→N→G→Q→1 with N=C2 and Q=C23⋊2D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³⋊₂D₄