Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₂₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₂₄

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

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₂₄) = C₈×F₇	φ: C₂×C₂₄/C₈ → C₆ ⊆ Aut C₇	56	6	C7:1(C2xC24)	336,7
C₇⋊₂(C₂×C₂₄) = C₂×C₇⋊C₂₄	φ: C₂×C₂₄/C₂×C₄ → C₆ ⊆ Aut C₇	112		C7:2(C2xC24)	336,12
C₇⋊₃(C₂×C₂₄) = C₂×C₈×C₇⋊C₃	φ: C₂×C₂₄/C₂×C₈ → C₃ ⊆ Aut C₇	112		C7:3(C2xC24)	336,51
C₇⋊₄(C₂×C₂₄) = D₇×C₂₄	φ: C₂×C₂₄/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:4(C2xC24)	336,58
C₇⋊₅(C₂×C₂₄) = C₆×C₇⋊C₈	φ: C₂×C₂₄/C₂×C₁₂ → C₂ ⊆ Aut C₇	336		C7:5(C2xC24)	336,63

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