Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=C₈

Direct product G=N×Q with N=C₂²×D₇ and Q=C₈

		d	ρ	Label	ID
D₇×C₂²×C₈		224		D7xC2^2xC8	448,1189

Semidirect products G=N:Q with N=C₂²×D₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊C₈ = (C₂²×D₇)⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₇	112		(C2^2xD7):C8	448,25
(C₂²×D₇)⋊₂C₈ = D₇×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₇	112		(C2^2xD7):2C8	448,258
(C₂²×D₇)⋊₃C₈ = C₂×D₁₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7):3C8	448,642

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).C₈ = M₅(2)⋊D₇	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₇	112	4	(C2^2xD7).C8	448,71
(C₂²×D₇).₂C₈ = D₁₄⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).2C8	448,64
(C₂²×D₇).₃C₈ = C₂×C₁₆⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).3C8	448,434
(C₂²×D₇).₄C₈ = D₇×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₇	112	4	(C2^2xD7).4C8	448,440
(C₂²×D₇).₅C₈ = D₇×C₂×C₁₆	φ: trivial image	224		(C2^2xD7).5C8	448,433

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