Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₃²

Direct product G=N×Q with N=C₂² and Q=D₄×C₃²

		d	ρ	Label	ID
D₄×C₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₄×C₃²) = C₃×D₄×A₄	φ: D₄×C₃²/C₃×D₄ → C₃ ⊆ Aut C₂²	36	6	C2^2:(D4xC3^2)	288,980
C₂²⋊₂(D₄×C₃²) = C₃²×C₄⋊D₄	φ: D₄×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2:2(D4xC3^2)	288,818
C₂²⋊₃(D₄×C₃²) = C₃²×C₂²≀C₂	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2:3(D4xC3^2)	288,817

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₃²) = C₃²×C₄○D₈	φ: D₄×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2.1(D4xC3^2)	288,832
C₂².₂(D₄×C₃²) = C₃²×C₂³⋊C₄	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2.2(D4xC3^2)	288,317
C₂².₃(D₄×C₃²) = C₃²×C₄≀C₂	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2.3(D4xC3^2)	288,322
C₂².₄(D₄×C₃²) = C₃²×C₂².D₄	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.4(D4xC3^2)	288,820
C₂².₅(D₄×C₃²) = C₃²×C₈⋊C₂²	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	72		C2^2.5(D4xC3^2)	288,833
C₂².₆(D₄×C₃²) = C₃²×C₈.C₂²	φ: D₄×C₃²/C₆² → C₂ ⊆ Aut C₂²	144		C2^2.6(D4xC3^2)	288,834
C₂².₇(D₄×C₃²) = C₃²×C₂.C₄²	central extension (φ=1)	288		C2^2.7(D4xC3^2)	288,313
C₂².₈(D₄×C₃²) = C₃²×D₄⋊C₄	central extension (φ=1)	144		C2^2.8(D4xC3^2)	288,320
C₂².₉(D₄×C₃²) = C₃²×Q₈⋊C₄	central extension (φ=1)	288		C2^2.9(D4xC3^2)	288,321
C₂².₁₀(D₄×C₃²) = C₃²×C₄.Q₈	central extension (φ=1)	288		C2^2.10(D4xC3^2)	288,324
C₂².₁₁(D₄×C₃²) = C₃²×C₂.D₈	central extension (φ=1)	288		C2^2.11(D4xC3^2)	288,325
C₂².₁₂(D₄×C₃²) = C₂²⋊C₄×C₃×C₆	central extension (φ=1)	144		C2^2.12(D4xC3^2)	288,812
C₂².₁₃(D₄×C₃²) = C₄⋊C₄×C₃×C₆	central extension (φ=1)	288		C2^2.13(D4xC3^2)	288,813
C₂².₁₄(D₄×C₃²) = D₈×C₃×C₆	central extension (φ=1)	144		C2^2.14(D4xC3^2)	288,829
C₂².₁₅(D₄×C₃²) = SD₁₆×C₃×C₆	central extension (φ=1)	144		C2^2.15(D4xC3^2)	288,830
C₂².₁₆(D₄×C₃²) = Q₁₆×C₃×C₆	central extension (φ=1)	288		C2^2.16(D4xC3^2)	288,831

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