Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄×C₉

Direct product G=N×Q with N=C₄ and Q=D₄×C₉

		d	ρ	Label	ID
D₄×C₃₆		144		D4xC36	288,168

Semidirect products G=N:Q with N=C₄ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(D₄×C₉) = C₉×C₄⋊₁D₄	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144		C4:1(D4xC9)	288,177
C₄⋊₂(D₄×C₉) = C₉×C₄⋊D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144		C4:2(D4xC9)	288,171

Non-split extensions G=N.Q with N=C₄ and Q=D₄×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₄×C₉) = C₉×D₁₆	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144	2	C4.1(D4xC9)	288,61
C₄.₂(D₄×C₉) = C₉×SD₃₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144	2	C4.2(D4xC9)	288,62
C₄.₃(D₄×C₉) = C₉×Q₃₂	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	288	2	C4.3(D4xC9)	288,63
C₄.₄(D₄×C₉) = C₉×C₄.₄D₄	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144		C4.4(D4xC9)	288,174
C₄.₅(D₄×C₉) = C₉×C₄⋊Q₈	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	288		C4.5(D4xC9)	288,178
C₄.₆(D₄×C₉) = D₈×C₁₈	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144		C4.6(D4xC9)	288,182
C₄.₇(D₄×C₉) = SD₁₆×C₁₈	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	144		C4.7(D4xC9)	288,183
C₄.₈(D₄×C₉) = Q₁₆×C₁₈	φ: D₄×C₉/C₃₆ → C₂ ⊆ Aut C₄	288		C4.8(D4xC9)	288,184
C₄.₉(D₄×C₉) = C₉×C₄.D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	72	4	C4.9(D4xC9)	288,50
C₄.₁₀(D₄×C₉) = C₉×C₄.₁₀D₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144	4	C4.10(D4xC9)	288,51
C₄.₁₁(D₄×C₉) = C₉×D₄⋊C₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144		C4.11(D4xC9)	288,52
C₄.₁₂(D₄×C₉) = C₉×Q₈⋊C₄	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4.12(D4xC9)	288,53
C₄.₁₃(D₄×C₉) = C₉×C₂²⋊Q₈	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144		C4.13(D4xC9)	288,172
C₄.₁₄(D₄×C₉) = C₉×C₈⋊C₂²	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	72	4	C4.14(D4xC9)	288,186
C₄.₁₅(D₄×C₉) = C₉×C₈.C₂²	φ: D₄×C₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144	4	C4.15(D4xC9)	288,187
C₄.₁₆(D₄×C₉) = C₉×C₂²⋊C₈	central extension (φ=1)	144		C4.16(D4xC9)	288,48
C₄.₁₇(D₄×C₉) = C₉×C₄≀C₂	central extension (φ=1)	72	2	C4.17(D4xC9)	288,54
C₄.₁₈(D₄×C₉) = C₉×C₄⋊C₈	central extension (φ=1)	288		C4.18(D4xC9)	288,55
C₄.₁₉(D₄×C₉) = C₉×C₈.C₄	central extension (φ=1)	144	2	C4.19(D4xC9)	288,58
C₄.₂₀(D₄×C₉) = C₉×C₄○D₈	central extension (φ=1)	144	2	C4.20(D4xC9)	288,185

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Extensions 1→N→G→Q→1 with N=C4 and Q=D4×C9

Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄×C₉