Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊D₆

Direct product G=N×Q with N=C₂² and Q=C₃²⋊D₆

		d	ρ	Label	ID
C₂²×C₃²⋊D₆		36		C2^2xC3^2:D6	432,545

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊D₆) = C₆²⋊₅D₆	φ: C₃²⋊D₆/C₃⋊S₃ → S₃ ⊆ Aut C₂²	18	6+	C2^2:(C3^2:D6)	432,523
C₂²⋊₂(C₃²⋊D₆) = C₆²⋊D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₂²	36	12+	C2^2:2(C3^2:D6)	432,323
C₂²⋊₃(C₃²⋊D₆) = C₆²⋊₂D₆	φ: C₃²⋊D₆/He₃⋊C₂ → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C3^2:D6)	432,324

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃²⋊D₆) = C₆².₈D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₂²	72	12-	C2^2.1(C3^2:D6)	432,318
C₂².₂(C₃²⋊D₆) = C₆².₉D₆	φ: C₃²⋊D₆/He₃⋊C₂ → C₂ ⊆ Aut C₂²	72	6	C2^2.2(C3^2:D6)	432,319
C₂².₃(C₃²⋊D₆) = He₃⋊C₄²	central extension (φ=1)	144		C2^2.3(C3^2:D6)	432,94
C₂².₄(C₃²⋊D₆) = C₆².D₆	central extension (φ=1)	144		C2^2.4(C3^2:D6)	432,95
C₂².₅(C₃²⋊D₆) = C₆².₃D₆	central extension (φ=1)	144		C2^2.5(C3^2:D6)	432,96
C₂².₆(C₃²⋊D₆) = C₆².₄D₆	central extension (φ=1)	72		C2^2.6(C3^2:D6)	432,97
C₂².₇(C₃²⋊D₆) = C₆².₅D₆	central extension (φ=1)	72		C2^2.7(C3^2:D6)	432,98
C₂².₈(C₃²⋊D₆) = C₂×He₃⋊₂Q₈	central extension (φ=1)	144		C2^2.8(C3^2:D6)	432,316
C₂².₉(C₃²⋊D₆) = C₂×C₆.S₃²	central extension (φ=1)	72		C2^2.9(C3^2:D6)	432,317
C₂².₁₀(C₃²⋊D₆) = C₂×He₃⋊₂D₄	central extension (φ=1)	72		C2^2.10(C3^2:D6)	432,320
C₂².₁₁(C₃²⋊D₆) = C₂×He₃⋊(C₂×C₄)	central extension (φ=1)	72		C2^2.11(C3^2:D6)	432,321
C₂².₁₂(C₃²⋊D₆) = C₂×He₃⋊₃D₄	central extension (φ=1)	72		C2^2.12(C3^2:D6)	432,322

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