Extensions 1→N→G→Q→1 with N=C₃² and Q=2₊¹⁺⁴

Direct product G=N×Q with N=C₃² and Q=2₊¹⁺⁴

		d	ρ	Label	ID
C₃²×2₊¹⁺⁴		72		C3^2xES+(2,2)	288,1022

Semidirect products G=N:Q with N=C₃² and Q=2₊¹⁺⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁2₊¹⁺⁴ = D₁₂⋊₂₄D₆	φ: 2₊¹⁺⁴/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:1ES+(2,2)	288,955
C₃²⋊₂2₊¹⁺⁴ = D₁₂⋊₂₇D₆	φ: 2₊¹⁺⁴/C₂×C₄ → C₂² ⊆ Aut C₃²	24	4+	C3^2:2ES+(2,2)	288,956
C₃²⋊₃2₊¹⁺⁴ = D₁₂⋊₁₂D₆	φ: 2₊¹⁺⁴/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:3ES+(2,2)	288,961
C₃²⋊₄2₊¹⁺⁴ = D₁₂⋊₁₃D₆	φ: 2₊¹⁺⁴/D₄ → C₂² ⊆ Aut C₃²	24	8+	C3^2:4ES+(2,2)	288,962
C₃²⋊₅2₊¹⁺⁴ = D₁₂⋊₁₆D₆	φ: 2₊¹⁺⁴/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:5ES+(2,2)	288,968
C₃²⋊₆2₊¹⁺⁴ = C₃²⋊2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂³ → C₂² ⊆ Aut C₃²	24	4	C3^2:6ES+(2,2)	288,978
C₃²⋊₇2₊¹⁺⁴ = C₃×D₄⋊₆D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:7ES+(2,2)	288,994
C₃²⋊₈2₊¹⁺⁴ = C₃²⋊₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₃²	72		C3^2:8ES+(2,2)	288,1009
C₃²⋊₉2₊¹⁺⁴ = C₃×D₄○D₁₂	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:9ES+(2,2)	288,999
C₃²⋊₁₀2₊¹⁺⁴ = C₆².₁₅₄C₂³	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₃²	72		C3^2:10ES+(2,2)	288,1014

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁