Extensions 1→N→G→Q→1 with N=C₁₁₄ and Q=C₄

Direct product G=N×Q with N=C₁₁₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₂₂₈		456		C2xC228	456,39

Semidirect products G=N:Q with N=C₁₁₄ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
C₁₁₄⋊₁C₄ = C₂×Dic₅₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	C114:1C4	456,37
C₁₁₄⋊₂C₄ = C₆×Dic₁₉	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	C114:2C4	456,27
C₁₁₄⋊₃C₄ = Dic₃×C₃₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	C114:3C4	456,32

Non-split extensions G=N.Q with N=C₁₁₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₄.₁C₄ = C₅₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	2	C114.1C4	456,5
C₁₁₄.₂C₄ = C₃×C₁₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	2	C114.2C4	456,4
C₁₁₄.₃C₄ = C₁₉×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₁₄	456	2	C114.3C4	456,3

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Extensions 1→N→G→Q→1 with N=C114 and Q=C4