Extensions 1→N→G→Q→1 with N=C₂×Dic₇ and Q=C₈

Direct product G=N×Q with N=C₂×Dic₇ and Q=C₈

		d	ρ	Label	ID
C₂×C₈×Dic₇		448		C2xC8xDic7	448,632

Semidirect products G=N:Q with N=C₂×Dic₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊C₈ = (C₂×Dic₇)⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₇	224		(C2xDic7):C8	448,26
(C₂×Dic₇)⋊₂C₈ = (C₂×C₅₆)⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7):2C8	448,107
(C₂×Dic₇)⋊₃C₈ = Dic₇.₅M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7):3C8	448,252
(C₂×Dic₇)⋊₄C₈ = C₂×Dic₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7):4C8	448,633

Non-split extensions G=N.Q with N=C₂×Dic₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).C₈ = M₅(2)⋊D₇	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₇	112	4	(C2xDic7).C8	448,71
(C₂×Dic₇).₂C₈ = Dic₇⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).2C8	448,58
(C₂×Dic₇).₃C₈ = C₁₁₂⋊₉C₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	448		(C2xDic7).3C8	448,59
(C₂×Dic₇).₄C₈ = D₁₄⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).4C8	448,64
(C₂×Dic₇).₅C₈ = C₂×C₁₆⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	224		(C2xDic7).5C8	448,434
(C₂×Dic₇).₆C₈ = D₇×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₇	112	4	(C2xDic7).6C8	448,440
(C₂×Dic₇).₇C₈ = C₁₆×Dic₇	φ: trivial image	448		(C2xDic7).7C8	448,57
(C₂×Dic₇).₈C₈ = D₇×C₂×C₁₆	φ: trivial image	224		(C2xDic7).8C8	448,433

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁