Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈⋊C₄

Direct product G=N×Q with N=C₇ and Q=Q₈⋊C₄

		d	ρ	Label	ID
C₇×Q₈⋊C₄		224		C7xQ8:C4	224,52

Semidirect products G=N:Q with N=C₇ and Q=Q₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈⋊C₄) = C₁₄.Q₁₆	φ: Q₈⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(Q8:C4)	224,16
C₇⋊₂(Q₈⋊C₄) = C₂₈.₄₄D₄	φ: Q₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₇	224		C7:2(Q8:C4)	224,22
C₇⋊₃(Q₈⋊C₄) = Q₈⋊Dic₇	φ: Q₈⋊C₄/C₂×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(Q8:C4)	224,41

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁