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		48	4	C3xC8.C2^2	96,184

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	48	4-	C3:1(C8.C2^2)	96,116
C₃⋊₂(C₈.C₂²) = D₄.D₆	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₃	48	4-	C3:2(C8.C2^2)	96,122
C₃⋊₃(C₈.C₂²) = Q₁₆⋊S₃	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₃	48	4	C3:3(C8.C2^2)	96,125
C₃⋊₄(C₈.C₂²) = Q₈.₁₁D₆	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:4(C8.C2^2)	96,149
C₃⋊₅(C₈.C₂²) = Q₈.₁₄D₆	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₃	48	4-	C3:5(C8.C2^2)	96,158

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁