Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₄≀C₂

Direct product G=N×Q with N=C₁₄ and Q=C₄≀C₂

		d	ρ	Label	ID
C₁₄×C₄≀C₂		112		C14xC4wrC2	448,828

Semidirect products G=N:Q with N=C₁₄ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊₁C₄≀C₂ = C₂×Dic₁₄⋊C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	112	C14:1C4wrC2	448,461
C₁₄⋊₂C₄≀C₂ = C₂×D₂₈⋊₄C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14:2C4wrC2	448,672
C₁₄⋊₃C₄≀C₂ = C₂×D₄⋊₂Dic₇	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14:3C4wrC2	448,769

Non-split extensions G=N.Q with N=C₁₄ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁C₄≀C₂ = C₁₄.C₄≀C₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	112	C14.1C4wrC2	448,8
C₁₄.₂C₄≀C₂ = C₄⋊Dic₇⋊C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	112	C14.2C4wrC2	448,9
C₁₄.₃C₄≀C₂ = C₄.₈Dic₂₈	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	448	C14.3C4wrC2	448,13
C₁₄.₄C₄≀C₂ = C₄.₁₇D₅₆	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	224	C14.4C4wrC2	448,16
C₁₄.₅C₄≀C₂ = C₄².D₁₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	224	C14.5C4wrC2	448,21
C₁₄.₆C₄≀C₂ = C₄².₂D₁₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	448	C14.6C4wrC2	448,22
C₁₄.₇C₄≀C₂ = C₂₈.₈C₄²	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₁₄	112	C14.7C4wrC2	448,80
C₁₄.₈C₄≀C₂ = C₂³.₃₀D₂₈	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.8C4wrC2	448,24
C₁₄.₉C₄≀C₂ = C₂².₂D₅₆	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.9C4wrC2	448,27
C₁₄.₁₀C₄≀C₂ = D₂₈⋊₂C₈	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.10C4wrC2	448,40
C₁₄.₁₁C₄≀C₂ = Dic₁₄⋊₂C₈	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.11C4wrC2	448,41
C₁₄.₁₂C₄≀C₂ = C₂₈.₃C₄²	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.12C4wrC2	448,112
C₁₄.₁₃C₄≀C₂ = C₂₈.₂C₄²	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.13C4wrC2	448,89
C₁₄.₁₄C₄≀C₂ = C₂₈.₅₇D₈	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.14C4wrC2	448,91
C₁₄.₁₅C₄≀C₂ = C₂₈.₂₆Q₁₆	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.15C4wrC2	448,92
C₁₄.₁₆C₄≀C₂ = (D₄×C₁₄)⋊C₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.16C4wrC2	448,94
C₁₄.₁₇C₄≀C₂ = C₄⋊C₄⋊Dic₇	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.17C4wrC2	448,95
C₁₄.₁₈C₄≀C₂ = C₄².₇D₁₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.18C4wrC2	448,97
C₁₄.₁₉C₄≀C₂ = C₄².₈D₁₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.19C4wrC2	448,100
C₁₄.₂₀C₄≀C₂ = C₇×D₄⋊C₈	central extension (φ=1)	224	C14.20C4wrC2	448,129
C₁₄.₂₁C₄≀C₂ = C₇×Q₈⋊C₈	central extension (φ=1)	448	C14.21C4wrC2	448,130
C₁₄.₂₂C₄≀C₂ = C₇×C₂².SD₁₆	central extension (φ=1)	112	C14.22C4wrC2	448,131
C₁₄.₂₃C₄≀C₂ = C₇×C₂³.₃₁D₄	central extension (φ=1)	112	C14.23C4wrC2	448,132
C₁₄.₂₄C₄≀C₂ = C₇×C₄².C₂²	central extension (φ=1)	224	C14.24C4wrC2	448,133
C₁₄.₂₅C₄≀C₂ = C₇×C₄².₂C₂²	central extension (φ=1)	448	C14.25C4wrC2	448,134
C₁₄.₂₆C₄≀C₂ = C₇×C₄²⋊₆C₄	central extension (φ=1)	112	C14.26C4wrC2	448,143

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Extensions 1→N→G→Q→1 with N=C14 and Q=C4≀C2

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₄≀C₂