Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃xC₂²:C₄

Direct product G=NxQ with N=C₃² and Q=C₃xC₂²:C₄

		d	ρ	Label	ID
C₂²:C₄xC₃³		216		C2^2:C4xC3^3	432,513

Semidirect products G=N:Q with N=C₃² and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₃xC₂²:C₄) = C₃xS₃²:C₄	φ: C₃xC₂²:C₄/C₆ → D₄ ⊆ Aut C₃²	24	4	C3^2:(C3xC2^2:C4)	432,574
C₃²:₂(C₃xC₂²:C₄) = C₆².₂₁D₆	φ: C₃xC₂²:C₄/C₂xC₄ → C₆ ⊆ Aut C₃²	72		C3^2:2(C3xC2^2:C4)	432,141
C₃²:₃(C₃xC₂²:C₄) = C₆²:₃C₁₂	φ: C₃xC₂²:C₄/C₂³ → C₆ ⊆ Aut C₃²	72		C3^2:3(C3xC2^2:C4)	432,166
C₃²:₄(C₃xC₂²:C₄) = C₃xC₆²:C₄	φ: C₃xC₂²:C₄/C₂xC₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:4(C3xC2^2:C4)	432,634
C₃²:₅(C₃xC₂²:C₄) = C₃xD₆:Dic₃	φ: C₃xC₂²:C₄/C₂xC₆ → C₂² ⊆ Aut C₃²	48		C3^2:5(C3xC2^2:C4)	432,426
C₃²:₆(C₃xC₂²:C₄) = C₃xC₆.D₁₂	φ: C₃xC₂²:C₄/C₂xC₆ → C₂² ⊆ Aut C₃²	48		C3^2:6(C3xC2^2:C4)	432,427
C₃²:₇(C₃xC₂²:C₄) = C₂²:C₄xHe₃	φ: C₃xC₂²:C₄/C₂²:C₄ → C₃ ⊆ Aut C₃²	72		C3^2:7(C3xC2^2:C4)	432,204
C₃²:₈(C₃xC₂²:C₄) = C₃²xD₆:C₄	φ: C₃xC₂²:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:8(C3xC2^2:C4)	432,474
C₃²:₉(C₃xC₂²:C₄) = C₃xC₆.₁₁D₁₂	φ: C₃xC₂²:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2:9(C3xC2^2:C4)	432,490
C₃²:₁₀(C₃xC₂²:C₄) = C₃²xC₆.D₄	φ: C₃xC₂²:C₄/C₂²xC₆ → C₂ ⊆ Aut C₃²	72		C3^2:10(C3xC2^2:C4)	432,479
C₃²:₁₁(C₃xC₂²:C₄) = C₃xC₆²:₅C₄	φ: C₃xC₂²:C₄/C₂²xC₆ → C₂ ⊆ Aut C₃²	72		C3^2:11(C3xC2^2:C4)	432,495

Non-split extensions G=N.Q with N=C₃² and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃xC₂²:C₄) = C₂²:C₄x3_-¹⁺²	φ: C₃xC₂²:C₄/C₂²:C₄ → C₃ ⊆ Aut C₃²	72		C3^2.(C3xC2^2:C4)	432,205
C₃².₂(C₃xC₂²:C₄) = C₉xD₆:C₄	φ: C₃xC₂²:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃²	144		C3^2.2(C3xC2^2:C4)	432,135
C₃².₃(C₃xC₂²:C₄) = C₉xC₆.D₄	φ: C₃xC₂²:C₄/C₂²xC₆ → C₂ ⊆ Aut C₃²	72		C3^2.3(C3xC2^2:C4)	432,165
C₃².₄(C₃xC₂²:C₄) = C₂²:C₄xC₃xC₉	central extension (φ=1)	216		C3^2.4(C3xC2^2:C4)	432,203

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