Extensions 1→N→G→Q→1 with N=C₂ and Q=Dic₇.Q₈

Direct product G=N×Q with N=C₂ and Q=Dic₇.Q₈

		d	ρ	Label	ID
C₂×Dic₇.Q₈		448		C2xDic7.Q8	448,951

Non-split extensions G=N.Q with N=C₂ and Q=Dic₇.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(Dic₇.Q₈) = C₁₄.(C₄×Q₈)	central extension (φ=1)	448		C2.1(Dic7.Q8)	448,181
C₂.₂(Dic₇.Q₈) = C₇⋊(C₄²⋊₈C₄)	central extension (φ=1)	448		C2.2(Dic7.Q8)	448,184
C₂.₃(Dic₇.Q₈) = Dic₇⋊C₄⋊C₄	central extension (φ=1)	448		C2.3(Dic7.Q8)	448,186
C₂.₄(Dic₇.Q₈) = C₄⋊Dic₇⋊₇C₄	central extension (φ=1)	448		C2.4(Dic7.Q8)	448,187
C₂.₅(Dic₇.Q₈) = Dic₇⋊(C₄⋊C₄)	central extension (φ=1)	448		C2.5(Dic7.Q8)	448,506
C₂.₆(Dic₇.Q₈) = C₂².₂₃(Q₈×D₇)	central extension (φ=1)	448		C2.6(Dic7.Q8)	448,512
C₂.₇(Dic₇.Q₈) = C₄⋊C₄⋊₅Dic₇	central extension (φ=1)	448		C2.7(Dic7.Q8)	448,515
C₂.₈(Dic₇.Q₈) = C₂.(C₂₈⋊Q₈)	central stem extension (φ=1)	448		C2.8(Dic7.Q8)	448,191
C₂.₉(Dic₇.Q₈) = (C₂×Dic₇).Q₈	central stem extension (φ=1)	448		C2.9(Dic7.Q8)	448,192
C₂.₁₀(Dic₇.Q₈) = (C₂×C₂₈).₂₈D₄	central stem extension (φ=1)	448		C2.10(Dic7.Q8)	448,193
C₂.₁₁(Dic₇.Q₈) = (C₂×C₂₈).₂₈₇D₄	central stem extension (φ=1)	448		C2.11(Dic7.Q8)	448,514
C₂.₁₂(Dic₇.Q₈) = (C₂×C₂₈).₂₈₈D₄	central stem extension (φ=1)	448		C2.12(Dic7.Q8)	448,516
C₂.₁₃(Dic₇.Q₈) = (C₂×C₄).₄₄D₂₈	central stem extension (φ=1)	448		C2.13(Dic7.Q8)	448,517
C₂.₁₄(Dic₇.Q₈) = (C₂×C₂₈).₅₄D₄	central stem extension (φ=1)	448		C2.14(Dic7.Q8)	448,518

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁