Extensions 1→N→G→Q→1 with N=Dic₉ and Q=C₂×C₆

Direct product G=N×Q with N=Dic₉ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×Dic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=Dic₉ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊₁(C₂×C₆) = D₄×C₉⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	36	12+	Dic9:1(C2xC6)	432,362
Dic₉⋊₂(C₂×C₆) = C₂×Dic₉⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	72		Dic9:2(C2xC6)	432,379
Dic₉⋊₃(C₂×C₆) = C₂×C₄×C₉⋊C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out Dic₉	72		Dic9:3(C2xC6)	432,353
Dic₉⋊₄(C₂×C₆) = C₂²×C₉⋊C₁₂	φ: C₂×C₆/C₂² → C₃ ⊆ Out Dic₉	144		Dic9:4(C2xC6)	432,378
Dic₉⋊₅(C₂×C₆) = C₃×D₄×D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	72	4	Dic9:5(C2xC6)	432,356
Dic₉⋊₆(C₂×C₆) = C₆×C₉⋊D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	72		Dic9:6(C2xC6)	432,374
Dic₉⋊₇(C₂×C₆) = D₉×C₂×C₁₂	φ: trivial image	144		Dic9:7(C2xC6)	432,342

Non-split extensions G=N.Q with N=Dic₉ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁(C₂×C₆) = C₂×C₃₆.C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	144		Dic9.1(C2xC6)	432,352
Dic₉.₂(C₂×C₆) = D₃₆⋊₆C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	72	6	Dic9.2(C2xC6)	432,355
Dic₉.₃(C₂×C₆) = Dic₁₈⋊₂C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	72	12-	Dic9.3(C2xC6)	432,363
Dic₉.₄(C₂×C₆) = Q₈×C₉⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Out Dic₉	72	12-	Dic9.4(C2xC6)	432,370
Dic₉.₅(C₂×C₆) = D₃₆⋊₃C₆	φ: C₂×C₆/C₂² → C₃ ⊆ Out Dic₉	72	12+	Dic9.5(C2xC6)	432,371
Dic₉.₆(C₂×C₆) = C₆×Dic₁₈	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	144		Dic9.6(C2xC6)	432,340
Dic₉.₇(C₂×C₆) = C₃×D₃₆⋊₅C₂	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	72	2	Dic9.7(C2xC6)	432,344
Dic₉.₈(C₂×C₆) = C₃×D₄⋊₂D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	72	4	Dic9.8(C2xC6)	432,357
Dic₉.₉(C₂×C₆) = C₃×Q₈×D₉	φ: C₂×C₆/C₆ → C₂ ⊆ Out Dic₉	144	4	Dic9.9(C2xC6)	432,364
Dic₉.₁₀(C₂×C₆) = C₃×Q₈⋊₃D₉	φ: trivial image	144	4	Dic9.10(C2xC6)	432,365

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