Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×D₉

Direct product G=N×Q with N=C₂² and Q=C₄×D₉

		d	ρ	Label	ID
C₂²×C₄×D₉		144		C2^2xC4xD9	288,353

Semidirect products G=N:Q with N=C₂² and Q=C₄×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₄×D₉) = C₄×C₃.S₄	φ: C₄×D₉/C₁₂ → S₃ ⊆ Aut C₂²	36	6	C2^2:(C4xD9)	288,333
C₂²⋊₂(C₄×D₉) = Dic₉⋊₄D₄	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₂²	144		C2^2:2(C4xD9)	288,91
C₂²⋊₃(C₄×D₉) = C₄×C₉⋊D₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:3(C4xD9)	288,138
C₂²⋊₄(C₄×D₉) = C₂²⋊C₄×D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:4(C4xD9)	288,90

Non-split extensions G=N.Q with N=C₂² and Q=C₄×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄×D₉) = D₃₆.C₄	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₂²	144	4	C2^2.1(C4xD9)	288,117
C₂².₂(C₄×D₉) = D₃₆.₂C₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.2(C4xD9)	288,112
C₂².₃(C₄×D₉) = C₂².D₃₆	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.3(C4xD9)	288,13
C₂².₄(C₄×D₉) = C₄.D₃₆	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	144	4-	C2^2.4(C4xD9)	288,30
C₂².₅(C₄×D₉) = C₃₆.₄₈D₄	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	4+	C2^2.5(C4xD9)	288,31
C₂².₆(C₄×D₉) = C₂³.₁₆D₁₈	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.6(C4xD9)	288,87
C₂².₇(C₄×D₉) = M₄(2)×D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.7(C4xD9)	288,116
C₂².₈(C₄×D₉) = C₈×Dic₉	central extension (φ=1)	288		C2^2.8(C4xD9)	288,21
C₂².₉(C₄×D₉) = Dic₉⋊C₈	central extension (φ=1)	288		C2^2.9(C4xD9)	288,22
C₂².₁₀(C₄×D₉) = C₇₂⋊C₄	central extension (φ=1)	288		C2^2.10(C4xD9)	288,23
C₂².₁₁(C₄×D₉) = D₁₈⋊C₈	central extension (φ=1)	144		C2^2.11(C4xD9)	288,27
C₂².₁₂(C₄×D₉) = C₁₈.C₄²	central extension (φ=1)	288		C2^2.12(C4xD9)	288,38
C₂².₁₃(C₄×D₉) = C₂×C₈×D₉	central extension (φ=1)	144		C2^2.13(C4xD9)	288,110
C₂².₁₄(C₄×D₉) = C₂×C₈⋊D₉	central extension (φ=1)	144		C2^2.14(C4xD9)	288,111
C₂².₁₅(C₄×D₉) = C₂×C₄×Dic₉	central extension (φ=1)	288		C2^2.15(C4xD9)	288,132
C₂².₁₆(C₄×D₉) = C₂×Dic₉⋊C₄	central extension (φ=1)	288		C2^2.16(C4xD9)	288,133
C₂².₁₇(C₄×D₉) = C₂×D₁₈⋊C₄	central extension (φ=1)	144		C2^2.17(C4xD9)	288,137

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