Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=C₁₄

Direct product G=N×Q with N=C₂²×C₄ and Q=C₁₄

		d	ρ	Label	ID
C₂³×C₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂²×C₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁C₁₄ = C₁₄×C₂²⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):1C14	224,150
(C₂²×C₄)⋊₂C₁₄ = D₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):2C14	224,153
(C₂²×C₄)⋊₃C₁₄ = C₇×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):3C14	224,158
(C₂²×C₄)⋊₄C₁₄ = C₇×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):4C14	224,156
(C₂²×C₄)⋊₅C₁₄ = D₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):5C14	224,190
(C₂²×C₄)⋊₆C₁₄ = C₁₄×C₄○D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4):6C14	224,192

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁C₁₄ = C₇×C₂.C₄²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	224		(C2^2xC4).1C14	224,44
(C₂²×C₄).₂C₁₄ = C₇×C₂²⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4).2C14	224,47
(C₂²×C₄).₃C₁₄ = C₁₄×C₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	224		(C2^2xC4).3C14	224,151
(C₂²×C₄).₄C₁₄ = C₇×C₄²⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4).4C14	224,152
(C₂²×C₄).₅C₁₄ = C₇×C₂²⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4).5C14	224,157
(C₂²×C₄).₆C₁₄ = C₁₄×M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	112		(C2^2xC4).6C14	224,165
(C₂²×C₄).₇C₁₄ = Q₈×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₄	224		(C2^2xC4).7C14	224,191

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