Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₉

Direct product G=N×Q with N=C₂² and Q=D₄×C₉

		d	ρ	Label	ID
D₄×C₂×C₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₄×C₉) = D₄×C₃.A₄	φ: D₄×C₉/C₃×D₄ → C₃ ⊆ Aut C₂²	36	6	C2^2:(D4xC9)	288,344
C₂²⋊₂(D₄×C₉) = C₉×C₄⋊D₄	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(D4xC9)	288,171
C₂²⋊₃(D₄×C₉) = C₉×C₂²≀C₂	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:3(D4xC9)	288,170

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₉) = C₉×C₄○D₈	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.1(D4xC9)	288,185
C₂².₂(D₄×C₉) = C₉×C₂³⋊C₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2(D4xC9)	288,49
C₂².₃(D₄×C₉) = C₉×C₄≀C₂	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.3(D4xC9)	288,54
C₂².₄(D₄×C₉) = C₉×C₂².D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.4(D4xC9)	288,173
C₂².₅(D₄×C₉) = C₉×C₈⋊C₂²	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.5(D4xC9)	288,186
C₂².₆(D₄×C₉) = C₉×C₈.C₂²	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144	4	C2^2.6(D4xC9)	288,187
C₂².₇(D₄×C₉) = C₉×C₂.C₄²	central extension (φ=1)	288		C2^2.7(D4xC9)	288,45
C₂².₈(D₄×C₉) = C₉×D₄⋊C₄	central extension (φ=1)	144		C2^2.8(D4xC9)	288,52
C₂².₉(D₄×C₉) = C₉×Q₈⋊C₄	central extension (φ=1)	288		C2^2.9(D4xC9)	288,53
C₂².₁₀(D₄×C₉) = C₉×C₄.Q₈	central extension (φ=1)	288		C2^2.10(D4xC9)	288,56
C₂².₁₁(D₄×C₉) = C₉×C₂.D₈	central extension (φ=1)	288		C2^2.11(D4xC9)	288,57
C₂².₁₂(D₄×C₉) = C₂²⋊C₄×C₁₈	central extension (φ=1)	144		C2^2.12(D4xC9)	288,165
C₂².₁₃(D₄×C₉) = C₄⋊C₄×C₁₈	central extension (φ=1)	288		C2^2.13(D4xC9)	288,166
C₂².₁₄(D₄×C₉) = D₈×C₁₈	central extension (φ=1)	144		C2^2.14(D4xC9)	288,182
C₂².₁₅(D₄×C₉) = SD₁₆×C₁₈	central extension (φ=1)	144		C2^2.15(D4xC9)	288,183
C₂².₁₆(D₄×C₉) = Q₁₆×C₁₈	central extension (φ=1)	288		C2^2.16(D4xC9)	288,184

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