Extensions 1→N→G→Q→1 with N=C₂×D₂₈ and Q=C₂

Direct product G=N×Q with N=C₂×D₂₈ and Q=C₂

		d	ρ	Label	ID
C₂²×D₂₈		112		C2^2xD28	224,176

Semidirect products G=N:Q with N=C₂×D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₂₈)⋊₁C₂ = C₂₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):1C2	224,69
(C₂×D₂₈)⋊₂C₂ = C₂²⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56		(C2xD28):2C2	224,77
(C₂×D₂₈)⋊₃C₂ = D₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):3C2	224,79
(C₂×D₂₈)⋊₄C₂ = C₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):4C2	224,90
(C₂×D₂₈)⋊₅C₂ = C₂×D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):5C2	224,98
(C₂×D₂₈)⋊₆C₂ = C₂₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):6C2	224,125
(C₂×D₂₈)⋊₇C₂ = C₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56	4+	(C2xD28):7C2	224,103
(C₂×D₂₈)⋊₈C₂ = C₂×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):8C2	224,126
(C₂×D₂₈)⋊₉C₂ = C₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):9C2	224,135
(C₂×D₂₈)⋊₁₀C₂ = D₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56	4+	(C2xD28):10C2	224,144
(C₂×D₂₈)⋊₁₁C₂ = C₂×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56		(C2xD28):11C2	224,178
(C₂×D₂₈)⋊₁₂C₂ = C₂×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28):12C2	224,182
(C₂×D₂₈)⋊₁₃C₂ = D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56	4+	(C2xD28):13C2	224,185
(C₂×D₂₈)⋊₁₄C₂ = C₂×C₄○D₂₈	φ: trivial image	112		(C2xD28):14C2	224,177

Non-split extensions G=N.Q with N=C₂×D₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₂₈).₁C₂ = C₂.D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).1C2	224,27
(C₂×D₂₈).₂C₂ = C₄.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).2C2	224,70
(C₂×D₂₈).₃C₂ = D₁₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).3C2	224,89
(C₂×D₂₈).₄C₂ = C₂×C₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).4C2	224,97
(C₂×D₂₈).₅C₂ = C₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).5C2	224,15
(C₂×D₂₈).₆C₂ = C₂₈.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	56	4+	(C2xD28).6C2	224,29
(C₂×D₂₈).₇C₂ = D₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).7C2	224,88
(C₂×D₂₈).₈C₂ = C₂×Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).8C2	224,136
(C₂×D₂₈).₉C₂ = C₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₈	112		(C2xD28).9C2	224,142
(C₂×D₂₈).₁₀C₂ = C₄×D₂₈	φ: trivial image	112		(C2xD28).10C2	224,68

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