Extensions 1→N→G→Q→1 with N=C₈⋊C₂² and Q=C₁₄

Direct product G=N×Q with N=C₈⋊C₂² and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₈⋊C₂²		112		C14xC8:C2^2	448,1356

Semidirect products G=N:Q with N=C₈⋊C₂² and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂²⋊₁C₁₄ = C₇×D₄⋊₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	56	4	C8:C2^2:1C14	448,861
C₈⋊C₂²⋊₂C₁₄ = C₇×D₄.₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	4	C8:C2^2:2C14	448,862
C₈⋊C₂²⋊₃C₁₄ = C₇×D₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	4	C8:C2^2:3C14	448,880
C₈⋊C₂²⋊₄C₁₄ = C₇×D₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	4	C8:C2^2:4C14	448,1359
C₈⋊C₂²⋊₅C₁₄ = C₇×D₄○SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	4	C8:C2^2:5C14	448,1360
C₈⋊C₂²⋊₆C₁₄ = C₇×D₈⋊C₂²	φ: trivial image	112	4	C8:C2^2:6C14	448,1358

Non-split extensions G=N.Q with N=C₈⋊C₂² and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂².C₁₄ = C₇×D₄.₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈⋊C₂²	112	4	C8:C2^2.C14	448,879

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