Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆×D₉

Direct product G=N×Q with N=C₂² and Q=C₆×D₉

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₂² and Q=C₆×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₆×D₉) = C₆×C₃.S₄	φ: C₆×D₉/C₃×C₆ → S₃ ⊆ Aut C₂²	36	6	C2^2:(C6xD9)	432,534
C₂²⋊₂(C₆×D₉) = C₂×A₄×D₉	φ: C₆×D₉/D₁₈ → C₃ ⊆ Aut C₂²	54	6+	C2^2:2(C6xD9)	432,540
C₂²⋊₃(C₆×D₉) = C₃×D₄×D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₂²	72	4	C2^2:3(C6xD9)	432,356
C₂²⋊₄(C₆×D₉) = C₆×C₉⋊D₄	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:4(C6xD9)	432,374

Non-split extensions G=N.Q with N=C₂² and Q=C₆×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆×D₉) = C₃×D₄⋊₂D₉	φ: C₆×D₉/C₃×D₉ → C₂ ⊆ Aut C₂²	72	4	C2^2.1(C6xD9)	432,357
C₂².₂(C₆×D₉) = C₃×D₃₆⋊₅C₂	φ: C₆×D₉/C₃×C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.2(C6xD9)	432,344
C₂².₃(C₆×D₉) = C₁₂×Dic₉	central extension (φ=1)	144		C2^2.3(C6xD9)	432,128
C₂².₄(C₆×D₉) = C₃×Dic₉⋊C₄	central extension (φ=1)	144		C2^2.4(C6xD9)	432,129
C₂².₅(C₆×D₉) = C₃×C₄⋊Dic₉	central extension (φ=1)	144		C2^2.5(C6xD9)	432,130
C₂².₆(C₆×D₉) = C₃×D₁₈⋊C₄	central extension (φ=1)	144		C2^2.6(C6xD9)	432,134
C₂².₇(C₆×D₉) = C₃×C₁₈.D₄	central extension (φ=1)	72		C2^2.7(C6xD9)	432,164
C₂².₈(C₆×D₉) = C₆×Dic₁₈	central extension (φ=1)	144		C2^2.8(C6xD9)	432,340
C₂².₉(C₆×D₉) = D₉×C₂×C₁₂	central extension (φ=1)	144		C2^2.9(C6xD9)	432,342
C₂².₁₀(C₆×D₉) = C₆×D₃₆	central extension (φ=1)	144		C2^2.10(C6xD9)	432,343
C₂².₁₁(C₆×D₉) = C₂×C₆×Dic₉	central extension (φ=1)	144		C2^2.11(C6xD9)	432,372

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