Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₁₄

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

		d	ρ	Label	ID
C₁₄×C₄⋊C₄		224		C14xC4:C4	224,151

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₁₄ = C₇×D₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:1C14	224,51
C₄⋊C₄⋊₂C₁₄ = C₇×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:2C14	224,156
C₄⋊C₄⋊₃C₁₄ = C₇×C₂²⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:3C14	224,157
C₄⋊C₄⋊₄C₁₄ = C₇×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:4C14	224,158
C₄⋊C₄⋊₅C₁₄ = C₇×C₄²⋊₂C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	112		C4:C4:5C14	224,161
C₄⋊C₄⋊₆C₁₄ = C₇×C₄²⋊C₂	φ: trivial image	112		C4:C4:6C14	224,152
C₄⋊C₄⋊₇C₁₄ = D₄×C₂₈	φ: trivial image	112		C4:C4:7C14	224,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₁₄ = C₇×Q₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.1C14	224,52
C₄⋊C₄.₂C₁₄ = C₇×C₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.2C14	224,55
C₄⋊C₄.₃C₁₄ = C₇×C₂.D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.3C14	224,56
C₄⋊C₄.₄C₁₄ = C₇×C₄².C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.4C14	224,160
C₄⋊C₄.₅C₁₄ = C₇×C₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄⋊C₄	224		C4:C4.5C14	224,163
C₄⋊C₄.₆C₁₄ = Q₈×C₂₈	φ: trivial image	224		C4:C4.6C14	224,154

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