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

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

		d	ρ	Label	ID
C₁₆₈		168	1	C168	168,6

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊C₂₄ = C₇⋊C₂₄	φ: C₂₄/C₄ → C₆ ⊆ Aut C₇	56	6	C7:C24	168,1
C₇⋊₂C₂₄ = C₈×C₇⋊C₃	φ: C₂₄/C₈ → C₃ ⊆ Aut C₇	56	3	C7:2C24	168,2
C₇⋊₃C₂₄ = C₃×C₇⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₇	168	2	C7:3C24	168,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁