Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂₄

Direct product G=N×Q with N=C₁₄ and Q=C₂₄

		d	ρ	Label	ID
C₂×C₁₆₈		336		C2xC168	336,109

Semidirect products G=N:Q with N=C₁₄ and Q=C₂₄

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊C₂₄ = C₂×C₇⋊C₂₄	φ: C₂₄/C₄ → C₆ ⊆ Aut C₁₄	112	C14:C24	336,12
C₁₄⋊₂C₂₄ = C₂×C₈×C₇⋊C₃	φ: C₂₄/C₈ → C₃ ⊆ Aut C₁₄	112	C14:2C24	336,51
C₁₄⋊₃C₂₄ = C₆×C₇⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₄	336	C14:3C24	336,63

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.C₂₄ = C₇⋊C₄₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₁₄	112	6	C14.C24	336,1
C₁₄.₂C₂₄ = C₁₆×C₇⋊C₃	φ: C₂₄/C₈ → C₃ ⊆ Aut C₁₄	112	3	C14.2C24	336,2
C₁₄.₃C₂₄ = C₃×C₇⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₄	336	2	C14.3C24	336,4

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Extensions 1→N→G→Q→1 with N=C14 and Q=C24