Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄².₁₂C₄

Direct product G=N×Q with N=C₇ and Q=C₄².₁₂C₄

		d	ρ	Label	ID
C₇×C₄².₁₂C₄		224		C7xC4^2.12C4	448,839

Semidirect products G=N:Q with N=C₇ and Q=C₄².₁₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄².₁₂C₄) = C₄².₂₈₂D₁₄	φ: C₄².₁₂C₄/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C4^2.12C4)	448,219
C₇⋊₂(C₄².₁₂C₄) = Dic₇.₅M₄(2)	φ: C₄².₁₂C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:2(C4^2.12C4)	448,252
C₇⋊₃(C₄².₁₂C₄) = C₄².₂₀₀D₁₄	φ: C₄².₁₂C₄/C₄⋊C₈ → C₂ ⊆ Aut C₇	224		C7:3(C4^2.12C4)	448,367
C₇⋊₄(C₄².₁₂C₄) = C₄².₆Dic₇	φ: C₄².₁₂C₄/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:4(C4^2.12C4)	448,459

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁