Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²×D₅

Direct product G=N×Q with N=C₃² and Q=C₂²×D₅

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₃² and Q=C₂²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₂²×D₅) = S₃²×D₅	φ: C₂²×D₅/D₅ → C₂² ⊆ Aut C₃²	30	8+	C3^2:1(C2^2xD5)	360,137
C₃²⋊₂(C₂²×D₅) = C₂×S₃×D₁₅	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₃²	60	4+	C3^2:2(C2^2xD5)	360,154
C₃²⋊₃(C₂²×D₅) = C₂×D₁₅⋊S₃	φ: C₂²×D₅/C₁₀ → C₂² ⊆ Aut C₃²	60	4	C3^2:3(C2^2xD5)	360,155
C₃²⋊₄(C₂²×D₅) = S₃×C₆×D₅	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₃²	60	4	C3^2:4(C2^2xD5)	360,151
C₃²⋊₅(C₂²×D₅) = C₂×D₅×C₃⋊S₃	φ: C₂²×D₅/D₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:5(C2^2xD5)	360,152
C₃²⋊₆(C₂²×D₅) = C₂×C₆×D₁₅	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₃²	120		C3^2:6(C2^2xD5)	360,159
C₃²⋊₇(C₂²×D₅) = C₂²×C₃⋊D₁₅	φ: C₂²×D₅/C₂×C₁₀ → C₂ ⊆ Aut C₃²	180		C3^2:7(C2^2xD5)	360,161

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁