Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=C₄

Direct product G=N×Q with N=C₂²×D₇ and Q=C₄

		d	ρ	Label	ID
D₇×C₂²×C₄		112		D7xC2^2xC4	224,175

Semidirect products G=N:Q with N=C₂²×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊C₄ = C₂³.₁D₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₇	56	4	(C2^2xD7):C4	224,12
(C₂²×D₇)⋊₂C₄ = D₇×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₇	56		(C2^2xD7):2C4	224,75
(C₂²×D₇)⋊₃C₄ = C₂×D₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₇	112		(C2^2xD7):3C4	224,122

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).C₄ = C₂₈.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₇	56	4+	(C2^2xD7).C4	224,29
(C₂²×D₇).₂C₄ = D₁₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₇	112		(C2^2xD7).2C4	224,26
(C₂²×D₇).₃C₄ = C₂×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₇	112		(C2^2xD7).3C4	224,95
(C₂²×D₇).₄C₄ = D₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₇	56	4	(C2^2xD7).4C4	224,101
(C₂²×D₇).₅C₄ = D₇×C₂×C₈	φ: trivial image	112		(C2^2xD7).5C4	224,94

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