Extensions 1→N→G→Q→1 with N=C₂ and Q=C₃²×C₂²⋊C₄

Direct product G=N×Q with N=C₂ and Q=C₃²×C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₃×C₆		144		C2^2:C4xC3xC6	288,812

Non-split extensions G=N.Q with N=C₂ and Q=C₃²×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₃²×C₂²⋊C₄) = C₃²×C₂.C₄²	central extension (φ=1)	288		C2.1(C3^2xC2^2:C4)	288,313
C₂.₂(C₃²×C₂²⋊C₄) = C₃²×C₂²⋊C₈	central extension (φ=1)	144		C2.2(C3^2xC2^2:C4)	288,316
C₂.₃(C₃²×C₂²⋊C₄) = C₃²×C₂³⋊C₄	central stem extension (φ=1)	72		C2.3(C3^2xC2^2:C4)	288,317
C₂.₄(C₃²×C₂²⋊C₄) = C₃²×C₄.D₄	central stem extension (φ=1)	72		C2.4(C3^2xC2^2:C4)	288,318
C₂.₅(C₃²×C₂²⋊C₄) = C₃²×C₄.₁₀D₄	central stem extension (φ=1)	144		C2.5(C3^2xC2^2:C4)	288,319
C₂.₆(C₃²×C₂²⋊C₄) = C₃²×D₄⋊C₄	central stem extension (φ=1)	144		C2.6(C3^2xC2^2:C4)	288,320
C₂.₇(C₃²×C₂²⋊C₄) = C₃²×Q₈⋊C₄	central stem extension (φ=1)	288		C2.7(C3^2xC2^2:C4)	288,321
C₂.₈(C₃²×C₂²⋊C₄) = C₃²×C₄≀C₂	central stem extension (φ=1)	72		C2.8(C3^2xC2^2:C4)	288,322

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