Extensions 1→N→G→Q→1 with N=C₈.C₄ and Q=C₁₄

Direct product G=N×Q with N=C₈.C₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₈.C₄		224		C14xC8.C4	448,837

Semidirect products G=N:Q with N=C₈.C₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁C₁₄ = C₇×D₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	224	2	C8.C4:1C14	448,163
C₈.C₄⋊₂C₁₄ = C₇×M₅(2)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:2C14	448,165
C₈.C₄⋊₃C₁₄ = C₇×M₄(2).C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:3C14	448,838
C₈.C₄⋊₄C₁₄ = C₇×C₈.₂₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:4C14	448,852
C₈.C₄⋊₅C₁₄ = C₇×D₄.₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:5C14	448,879
C₈.C₄⋊₆C₁₄ = C₇×D₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4:6C14	448,880
C₈.C₄⋊₇C₁₄ = C₇×D₄.₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	224	4	C8.C4:7C14	448,881
C₈.C₄⋊₈C₁₄ = C₇×C₈○D₈	φ: trivial image	112	2	C8.C4:8C14	448,851

Non-split extensions G=N.Q with N=C₈.C₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁C₁₄ = C₇×C₈.₁₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	224	4	C8.C4.1C14	448,166
C₈.C₄.₂C₁₄ = C₇×C₈.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	112	4	C8.C4.2C14	448,169
C₈.C₄.₃C₁₄ = C₇×C₈.₄Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈.C₄	224	2	C8.C4.3C14	448,172

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