Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄²⋊₈C₄

Direct product G=N×Q with N=C₂ and Q=C₄²⋊₈C₄

		d	ρ	Label	ID
C₂×C₄²⋊₈C₄		128		C2xC4^2:8C4	128,1013

Non-split extensions G=N.Q with N=C₂ and Q=C₄²⋊₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄²⋊₈C₄) = C₂⁴.₆₂₄C₂³	central extension (φ=1)	128		C2.1(C4^2:8C4)	128,166
C₂.₂(C₄²⋊₈C₄) = C₂⁴.₆₂₅C₂³	central extension (φ=1)	128		C2.2(C4^2:8C4)	128,167
C₂.₃(C₄²⋊₈C₄) = C₄²⋊₈C₈	central extension (φ=1)	128		C2.3(C4^2:8C4)	128,563
C₂.₄(C₄²⋊₈C₄) = C₂⁴.₆₃₂C₂³	central stem extension (φ=1)	128		C2.4(C4^2:8C4)	128,174
C₂.₅(C₄²⋊₈C₄) = C₄².₂₃Q₈	central stem extension (φ=1)	128		C2.5(C4^2:8C4)	128,564
C₂.₆(C₄²⋊₈C₄) = C₈.(C₄⋊C₄)	central stem extension (φ=1)	32	4	C2.6(C4^2:8C4)	128,565
C₂.₇(C₄²⋊₈C₄) = C₄².₅₅Q₈	central stem extension (φ=1)	128		C2.7(C4^2:8C4)	128,566
C₂.₈(C₄²⋊₈C₄) = C₄².₅₆Q₈	central stem extension (φ=1)	128		C2.8(C4^2:8C4)	128,567
C₂.₉(C₄²⋊₈C₄) = C₄².₂₄Q₈	central stem extension (φ=1)	128		C2.9(C4^2:8C4)	128,568
C₂.₁₀(C₄²⋊₈C₄) = C₄².₃₂₂D₄	central stem extension (φ=1)	64		C2.10(C4^2:8C4)	128,569
C₂.₁₁(C₄²⋊₈C₄) = C₄².₁₀₄D₄	central stem extension (φ=1)	64		C2.11(C4^2:8C4)	128,570

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