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
C₁₄×C₂²⋊C₄		112		C14xC2^2:C4	224,150

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₁₄ = C₇×C₂³⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	56	4	C2^2:C4:1C14	224,48
C₂²⋊C₄⋊₂C₁₄ = C₇×C₂²≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	56		C2^2:C4:2C14	224,155
C₂²⋊C₄⋊₃C₁₄ = C₇×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:3C14	224,156
C₂²⋊C₄⋊₄C₁₄ = C₇×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:4C14	224,158
C₂²⋊C₄⋊₅C₁₄ = C₇×C₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4:5C14	224,159
C₂²⋊C₄⋊₆C₁₄ = D₄×C₂₈	φ: trivial image	112		C2^2:C4:6C14	224,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₁₄ = C₇×C₂²⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4.1C14	224,157
C₂²⋊C₄.₂C₁₄ = C₇×C₄²⋊₂C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²⋊C₄	112		C2^2:C4.2C14	224,161
C₂²⋊C₄.₃C₁₄ = C₇×C₄²⋊C₂	φ: trivial image	112		C2^2:C4.3C14	224,152

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