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

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

		d	ρ	Label	ID
C₄²×D₉		144		C4^2xD9	288,81

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

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₄×D₉) = D₃₆⋊C₄	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	144	C4:1(C4xD9)	288,103
C₄⋊₂(C₄×D₉) = C₄×D₃₆	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	144	C4:2(C4xD9)	288,83
C₄⋊₃(C₄×D₉) = C₄⋊C₄×D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	144	C4:3(C4xD9)	288,101

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×D₉) = C₁₈.Q₁₆	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.1(C4xD9)	288,16
C₄.₂(C₄×D₉) = C₁₈.D₈	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	144		C4.2(C4xD9)	288,17
C₄.₃(C₄×D₉) = Dic₁₈⋊C₄	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	72	4	C4.3(C4xD9)	288,32
C₄.₄(C₄×D₉) = Dic₉⋊₃Q₈	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.4(C4xD9)	288,97
C₄.₅(C₄×D₉) = D₃₆.C₄	φ: C₄×D₉/Dic₉ → C₂ ⊆ Aut C₄	144	4	C4.5(C4xD9)	288,117
C₄.₆(C₄×D₉) = C₄²⋊₄D₉	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	72	2	C4.6(C4xD9)	288,12
C₄.₇(C₄×D₉) = C₃₆.₄₅D₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	288		C4.7(C4xD9)	288,24
C₄.₈(C₄×D₉) = C₂.D₇₂	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	144		C4.8(C4xD9)	288,28
C₄.₉(C₄×D₉) = C₄×Dic₁₈	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	288		C4.9(C4xD9)	288,78
C₄.₁₀(C₄×D₉) = D₃₆.₂C₄	φ: C₄×D₉/C₃₆ → C₂ ⊆ Aut C₄	144	2	C4.10(C4xD9)	288,112
C₄.₁₁(C₄×D₉) = C₃₆.Q₈	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	288		C4.11(C4xD9)	288,14
C₄.₁₂(C₄×D₉) = C₄.Dic₁₈	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	288		C4.12(C4xD9)	288,15
C₄.₁₃(C₄×D₉) = C₃₆.₅₃D₄	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	144	4	C4.13(C4xD9)	288,29
C₄.₁₄(C₄×D₉) = C₄⋊C₄⋊₇D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	144		C4.14(C4xD9)	288,102
C₄.₁₅(C₄×D₉) = M₄(2)×D₉	φ: C₄×D₉/D₁₈ → C₂ ⊆ Aut C₄	72	4	C4.15(C4xD9)	288,116
C₄.₁₆(C₄×D₉) = C₁₆×D₉	central extension (φ=1)	144	2	C4.16(C4xD9)	288,4
C₄.₁₇(C₄×D₉) = C₁₆⋊D₉	central extension (φ=1)	144	2	C4.17(C4xD9)	288,5
C₄.₁₈(C₄×D₉) = C₄×C₉⋊C₈	central extension (φ=1)	288		C4.18(C4xD9)	288,9
C₄.₁₉(C₄×D₉) = C₄².D₉	central extension (φ=1)	288		C4.19(C4xD9)	288,10
C₄.₂₀(C₄×D₉) = C₈×Dic₉	central extension (φ=1)	288		C4.20(C4xD9)	288,21
C₄.₂₁(C₄×D₉) = C₇₂⋊C₄	central extension (φ=1)	288		C4.21(C4xD9)	288,23
C₄.₂₂(C₄×D₉) = C₄²⋊₂D₉	central extension (φ=1)	144		C4.22(C4xD9)	288,82
C₄.₂₃(C₄×D₉) = C₂×C₈×D₉	central extension (φ=1)	144		C4.23(C4xD9)	288,110
C₄.₂₄(C₄×D₉) = C₂×C₈⋊D₉	central extension (φ=1)	144		C4.24(C4xD9)	288,111

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

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