Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄².₂₉C₂²

Direct product G=N×Q with N=C₇ and Q=C₄².₂₉C₂²

		d	ρ	Label	ID
C₇×C₄².₂₉C₂²		224		C7xC4^2.29C2^2	448,898

Semidirect products G=N:Q with N=C₇ and Q=C₄².₂₉C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄².₂₉C₂²) = C₄².₁₉D₁₄	φ: C₄².₂₉C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C4^2.29C2^2)	448,247
C₇⋊₂(C₄².₂₉C₂²) = C₄⋊C₄.D₁₄	φ: C₄².₂₉C₂²/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C4^2.29C2^2)	448,298
C₇⋊₃(C₄².₂₉C₂²) = C₄².₇₀D₁₄	φ: C₄².₂₉C₂²/C₄².C₂ → C₂ ⊆ Aut C₇	224		C7:3(C4^2.29C2^2)	448,601
C₇⋊₄(C₄².₂₉C₂²) = C₄².₇₂D₁₄	φ: C₄².₂₉C₂²/C₄⋊₁D₄ → C₂ ⊆ Aut C₇	224		C7:4(C4^2.29C2^2)	448,605

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁