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

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

		d	ρ	Label	ID
C₁₄×C₈⋊C₄		448		C14xC8:C4	448,811

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₈⋊C₄) = C₂×C₄².D₇	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₁₄	448		C14:1(C8:C4)	448,455
C₁₄⋊₂(C₈⋊C₄) = C₂×C₅₆⋊C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14:2(C8:C4)	448,634

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₈⋊C₄) = C₄².₂₇₉D₁₄	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₁₄	448		C14.1(C8:C4)	448,11
C₁₄.₂(C₈⋊C₄) = C₂₈.₁₅C₄²	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₁₄	112	4	C14.2(C8:C4)	448,23
C₁₄.₃(C₈⋊C₄) = (C₂×C₂₈)⋊₃C₈	φ: C₈⋊C₄/C₄² → C₂ ⊆ Aut C₁₄	448		C14.3(C8:C4)	448,81
C₁₄.₄(C₈⋊C₄) = C₅₆⋊C₈	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.4(C8:C4)	448,12
C₁₄.₅(C₈⋊C₄) = C₁₁₂⋊C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	112	4	C14.5(C8:C4)	448,69
C₁₄.₆(C₈⋊C₄) = (C₂×C₅₆)⋊₅C₄	φ: C₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.6(C8:C4)	448,107
C₁₄.₇(C₈⋊C₄) = C₇×C₈⋊C₈	central extension (φ=1)	448		C14.7(C8:C4)	448,126
C₁₄.₈(C₈⋊C₄) = C₇×C₂².₇C₄²	central extension (φ=1)	448		C14.8(C8:C4)	448,140
C₁₄.₉(C₈⋊C₄) = C₇×C₁₆⋊C₄	central extension (φ=1)	112	4	C14.9(C8:C4)	448,151

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