Extensions 1→N→G→Q→1 with N=Dic₉ and Q=C₂×C₄

Direct product G=N×Q with N=Dic₉ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₄×Dic₉		288		C2xC4xDic9	288,132

Semidirect products G=N:Q with N=Dic₉ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊₁(C₂×C₄) = Dic₉⋊₄D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	144		Dic9:1(C2xC4)	288,91
Dic₉⋊₂(C₂×C₄) = C₄×C₉⋊D₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	144		Dic9:2(C2xC4)	288,138
Dic₉⋊₃(C₂×C₄) = C₄⋊C₄×D₉	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9:3(C2xC4)	288,101
Dic₉⋊₄(C₂×C₄) = C₂×Dic₉⋊C₄	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	288		Dic9:4(C2xC4)	288,133
Dic₉⋊₅(C₂×C₄) = C₄²×D₉	φ: trivial image	144		Dic9:5(C2xC4)	288,81

Non-split extensions G=N.Q with N=Dic₉ and Q=C₂×C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁(C₂×C₄) = C₄×Dic₁₈	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	288		Dic9.1(C2xC4)	288,78
Dic₉.₂(C₂×C₄) = Dic₉⋊₃Q₈	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	288		Dic9.2(C2xC4)	288,97
Dic₉.₃(C₂×C₄) = D₃₆.₂C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	144	2	Dic9.3(C2xC4)	288,112
Dic₉.₄(C₂×C₄) = D₃₆.C₄	φ: C₂×C₄/C₄ → C₂ ⊆ Out Dic₉	144	4	Dic9.4(C2xC4)	288,117
Dic₉.₅(C₂×C₄) = C₄²⋊₂D₉	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.5(C2xC4)	288,82
Dic₉.₆(C₂×C₄) = C₂³.₁₆D₁₈	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.6(C2xC4)	288,87
Dic₉.₇(C₂×C₄) = C₂×C₈⋊D₉	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.7(C2xC4)	288,111
Dic₉.₈(C₂×C₄) = M₄(2)×D₉	φ: C₂×C₄/C₂² → C₂ ⊆ Out Dic₉	72	4	Dic9.8(C2xC4)	288,116
Dic₉.₉(C₂×C₄) = C₄⋊C₄⋊₇D₉	φ: trivial image	144		Dic9.9(C2xC4)	288,102
Dic₉.₁₀(C₂×C₄) = C₂×C₈×D₉	φ: trivial image	144		Dic9.10(C2xC4)	288,110

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