Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄xC₉

Direct product G=NxQ with N=C₂² and Q=D₄xC₉

		d	ρ	Label	ID
D₄xC₂xC₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=C₂² and Q=D₄xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(D₄xC₉) = D₄xC₃.A₄	φ: D₄xC₉/C₃xD₄ → C₃ ⊆ Aut C₂²	36	6	C2^2:(D4xC9)	288,344
C₂²:₂(D₄xC₉) = C₉xC₄:D₄	φ: D₄xC₉/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(D4xC9)	288,171
C₂²:₃(D₄xC₉) = C₉xC₂²wrC₂	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:3(D4xC9)	288,170

Non-split extensions G=N.Q with N=C₂² and Q=D₄xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄xC₉) = C₉xC₄oD₈	φ: D₄xC₉/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.1(D4xC9)	288,185
C₂².₂(D₄xC₉) = C₉xC₂³:C₄	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2(D4xC9)	288,49
C₂².₃(D₄xC₉) = C₉xC₄wrC₂	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.3(D4xC9)	288,54
C₂².₄(D₄xC₉) = C₉xC₂².D₄	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.4(D4xC9)	288,173
C₂².₅(D₄xC₉) = C₉xC₈:C₂²	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.5(D4xC9)	288,186
C₂².₆(D₄xC₉) = C₉xC₈.C₂²	φ: D₄xC₉/C₂xC₁₈ → C₂ ⊆ Aut C₂²	144	4	C2^2.6(D4xC9)	288,187
C₂².₇(D₄xC₉) = C₉xC₂.C₄²	central extension (φ=1)	288		C2^2.7(D4xC9)	288,45
C₂².₈(D₄xC₉) = C₉xD₄:C₄	central extension (φ=1)	144		C2^2.8(D4xC9)	288,52
C₂².₉(D₄xC₉) = C₉xQ₈:C₄	central extension (φ=1)	288		C2^2.9(D4xC9)	288,53
C₂².₁₀(D₄xC₉) = C₉xC₄.Q₈	central extension (φ=1)	288		C2^2.10(D4xC9)	288,56
C₂².₁₁(D₄xC₉) = C₉xC₂.D₈	central extension (φ=1)	288		C2^2.11(D4xC9)	288,57
C₂².₁₂(D₄xC₉) = C₂²:C₄xC₁₈	central extension (φ=1)	144		C2^2.12(D4xC9)	288,165
C₂².₁₃(D₄xC₉) = C₄:C₄xC₁₈	central extension (φ=1)	288		C2^2.13(D4xC9)	288,166
C₂².₁₄(D₄xC₉) = D₈xC₁₈	central extension (φ=1)	144		C2^2.14(D4xC9)	288,182
C₂².₁₅(D₄xC₉) = SD₁₆xC₁₈	central extension (φ=1)	144		C2^2.15(D4xC9)	288,183
C₂².₁₆(D₄xC₉) = Q₁₆xC₁₈	central extension (φ=1)	288		C2^2.16(D4xC9)	288,184

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