Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=C₁₄

Direct product G=N×Q with N=C₃⋊C₈ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₃⋊C₈		336		C14xC3:C8	336,79

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁C₁₄ = C₇×D₄⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4	C3:C8:1C14	336,85
C₃⋊C₈⋊₂C₁₄ = C₇×D₄.S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4	C3:C8:2C14	336,86
C₃⋊C₈⋊₃C₁₄ = C₇×Q₈⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	168	4	C3:C8:3C14	336,87
C₃⋊C₈⋊₄C₁₄ = C₇×C₈⋊S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	168	2	C3:C8:4C14	336,75
C₃⋊C₈⋊₅C₁₄ = C₇×C₄.Dic₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	168	2	C3:C8:5C14	336,80
C₃⋊C₈⋊₆C₁₄ = S₃×C₅₆	φ: trivial image	168	2	C3:C8:6C14	336,74

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.C₁₄ = C₇×C₃⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₃⋊C₈	336	4	C3:C8.C14	336,88

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