Extensions 1→N→G→Q→1 with N=C₄○D₂₈ and Q=C₄

Direct product G=N×Q with N=C₄○D₂₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₄○D₂₈		224		C4xC4oD28	448,927

Semidirect products G=N:Q with N=C₄○D₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₈⋊₁C₄ = C₂×Dic₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	112		C4oD28:1C4	448,461
C₄○D₂₈⋊₂C₄ = C₂³.₂₃D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:2C4	448,647
C₄○D₂₈⋊₃C₄ = C₄○D₂₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:3C4	448,500
C₄○D₂₈⋊₄C₄ = C₄.(C₂×D₂₈)	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:4C4	448,536
C₄○D₂₈⋊₅C₄ = C₄²⋊₄D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28:5C4	448,539
C₄○D₂₈⋊₆C₄ = C₂³.₄₉D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:6C4	448,667
C₄○D₂₈⋊₇C₄ = C₂×D₂₈⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	112		C4oD28:7C4	448,672
C₄○D₂₈⋊₈C₄ = C₂³.₂₀D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28:8C4	448,673
C₄○D₂₈⋊₉C₄ = C₁₄.₈2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:9C4	448,957
C₄○D₂₈⋊₁₀C₄ = C₄².₁₈₈D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:10C4	448,975
C₄○D₂₈⋊₁₁C₄ = C₄².₉₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28:11C4	448,976

Non-split extensions G=N.Q with N=C₄○D₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₈.₁C₄ = D₂₈.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224	2	C4oD28.1C4	448,65
C₄○D₂₈.₂C₄ = Dic₁₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224	4	C4oD28.2C4	448,72
C₄○D₂₈.₃C₄ = C₁₆.₁₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224	4	C4oD28.3C4	448,441
C₄○D₂₈.₄C₄ = C₂×D₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	224		C4oD28.4C4	448,1197
C₄○D₂₈.₅C₄ = C₂₈.₇₀C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₂₈	112	4	C4oD28.5C4	448,1198
C₄○D₂₈.₆C₄ = D₂₈.₄C₈	φ: trivial image	224	2	C4oD28.6C4	448,435
C₄○D₂₈.₇C₄ = C₂×D₂₈.₂C₄	φ: trivial image	224		C4oD28.7C4	448,1191

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