C_n D_n S_n A_n ...

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

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