Extensions 1→N→G→Q→1 with N=C₁₁ and Q=Q₈⋊C₄

Direct product G=N×Q with N=C₁₁ and Q=Q₈⋊C₄

		d	ρ	Label	ID
C₁₁×Q₈⋊C₄		352		C11xQ8:C4	352,52

Semidirect products G=N:Q with N=C₁₁ and Q=Q₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁⋊₁(Q₈⋊C₄) = C₂₂.Q₁₆	φ: Q₈⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₁₁	352		C11:1(Q8:C4)	352,16
C₁₁⋊₂(Q₈⋊C₄) = C₄₄.₄₄D₄	φ: Q₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₁	352		C11:2(Q8:C4)	352,22
C₁₁⋊₃(Q₈⋊C₄) = Q₈⋊Dic₁₁	φ: Q₈⋊C₄/C₂×Q₈ → C₂ ⊆ Aut C₁₁	352		C11:3(Q8:C4)	352,41

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁