Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂².C₄²

Direct product G=N×Q with N=C₂ and Q=C₂².C₄²

		d	ρ	Label	ID
C₂×C₂².C₄²		64		C2xC2^2.C4^2	128,473

Non-split extensions G=N.Q with N=C₂ and Q=C₂².C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂².C₄²) = C₂³.₁₉C₄²	central extension (φ=1)	64		C2.1(C2^2.C4^2)	128,12
C₂.₂(C₂².C₄²) = C₄².₃Q₈	central extension (φ=1)	64		C2.2(C2^2.C4^2)	128,15
C₂.₃(C₂².C₄²) = C₄².₄Q₈	central stem extension (φ=1)	32		C2.3(C2^2.C4^2)	128,17
C₂.₄(C₂².C₄²) = C₄².₂₅D₄	central stem extension (φ=1)	64		C2.4(C2^2.C4^2)	128,22
C₂.₅(C₂².C₄²) = C₄².₂₇D₄	central stem extension (φ=1)	64		C2.5(C2^2.C4^2)	128,24
C₂.₆(C₂².C₄²) = C₄².₇Q₈	central stem extension (φ=1)	128		C2.6(C2^2.C4^2)	128,27
C₂.₇(C₂².C₄²) = C₄².₈Q₈	central stem extension (φ=1)	128		C2.7(C2^2.C4^2)	128,28
C₂.₈(C₂².C₄²) = C₄².₃₈₈D₄	central stem extension (φ=1)	64		C2.8(C2^2.C4^2)	128,31
C₂.₉(C₂².C₄²) = C₂³.C₄²	central stem extension (φ=1)	32		C2.9(C2^2.C4^2)	128,37
C₂.₁₀(C₂².C₄²) = C₄².₃₀D₄	central stem extension (φ=1)	64		C2.10(C2^2.C4^2)	128,39
C₂.₁₁(C₂².C₄²) = C₄².₃₂D₄	central stem extension (φ=1)	64		C2.11(C2^2.C4^2)	128,41

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁