Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈⋊C₂²

Direct product G=N×Q with N=C₃ and Q=C₈⋊C₂²

		d	ρ	Label	ID
C₃×C₈⋊C₂²		24	4	C3xC8:C2^2	96,183

Semidirect products G=N:Q with N=C₃ and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈⋊C₂²) = C₈⋊D₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₃	24	4+	C3:1(C8:C2^2)	96,115
C₃⋊₂(C₈⋊C₂²) = D₈⋊S₃	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₃	24	4	C3:2(C8:C2^2)	96,118
C₃⋊₃(C₈⋊C₂²) = Q₈⋊₃D₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₃	24	4+	C3:3(C8:C2^2)	96,121
C₃⋊₄(C₈⋊C₂²) = D₁₂⋊₆C₂²	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(C8:C2^2)	96,139
C₃⋊₅(C₈⋊C₂²) = D₄⋊D₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₃	24	4+	C3:5(C8:C2^2)	96,156

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁