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

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

		d	ρ	Label	ID
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₄×C₈) = C₂×C₄×C₇⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14:1(C4xC8)	448,454
C₁₄⋊₂(C₄×C₈) = C₂×C₈×Dic₇	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14:2(C4xC8)	448,632

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₄×C₈) = C₈×C₇⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14.1(C4xC8)	448,10
C₁₄.₂(C₄×C₈) = C₅₆⋊C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14.2(C4xC8)	448,12
C₁₄.₃(C₄×C₈) = C₄×C₇⋊C₁₆	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14.3(C4xC8)	448,17
C₁₄.₄(C₄×C₈) = C₅₆.C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14.4(C4xC8)	448,18
C₁₄.₅(C₄×C₈) = (C₂×C₂₈)⋊₃C₈	φ: C₄×C₈/C₄² → C₂ ⊆ Aut C₁₄	448		C14.5(C4xC8)	448,81
C₁₄.₆(C₄×C₈) = C₄².₂₇₉D₁₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.6(C4xC8)	448,11
C₁₄.₇(C₄×C₈) = C₁₆×Dic₇	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.7(C4xC8)	448,57
C₁₄.₈(C₄×C₈) = C₁₁₂⋊₉C₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.8(C4xC8)	448,59
C₁₄.₉(C₄×C₈) = (C₂×C₅₆)⋊₅C₄	φ: C₄×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.9(C4xC8)	448,107
C₁₄.₁₀(C₄×C₈) = C₇×C₈⋊C₈	central extension (φ=1)	448		C14.10(C4xC8)	448,126
C₁₄.₁₁(C₄×C₈) = C₇×C₂².₇C₄²	central extension (φ=1)	448		C14.11(C4xC8)	448,140
C₁₄.₁₂(C₄×C₈) = C₇×C₁₆⋊₅C₄	central extension (φ=1)	448		C14.12(C4xC8)	448,150

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