Extensions 1→N→G→Q→1 with N=Dic₉ and Q=C₂xC₆

Direct product G=NxQ with N=Dic₉ and Q=C₂xC₆

		d	ρ	Label	ID
C₂xC₆xDic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=Dic₉ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉:₁(C₂xC₆) = D₄xC₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	36	12+	Dic9:1(C2xC6)	432,362
Dic₉:₂(C₂xC₆) = C₂xDic₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	72		Dic9:2(C2xC6)	432,379
Dic₉:₃(C₂xC₆) = C₂xC₄xC₉:C₆	φ: C₂xC₆/C₂² → C₃ ⊆ Out Dic₉	72		Dic9:3(C2xC6)	432,353
Dic₉:₄(C₂xC₆) = C₂²xC₉:C₁₂	φ: C₂xC₆/C₂² → C₃ ⊆ Out Dic₉	144		Dic9:4(C2xC6)	432,378
Dic₉:₅(C₂xC₆) = C₃xD₄xD₉	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	72	4	Dic9:5(C2xC6)	432,356
Dic₉:₆(C₂xC₆) = C₆xC₉:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	72		Dic9:6(C2xC6)	432,374
Dic₉:₇(C₂xC₆) = D₉xC₂xC₁₂	φ: trivial image	144		Dic9:7(C2xC6)	432,342

Non-split extensions G=N.Q with N=Dic₉ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁(C₂xC₆) = C₂xC₃₆.C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	144		Dic9.1(C2xC6)	432,352
Dic₉.₂(C₂xC₆) = D₃₆:₆C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	72	6	Dic9.2(C2xC6)	432,355
Dic₉.₃(C₂xC₆) = Dic₁₈:₂C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	72	12-	Dic9.3(C2xC6)	432,363
Dic₉.₄(C₂xC₆) = Q₈xC₉:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out Dic₉	72	12-	Dic9.4(C2xC6)	432,370
Dic₉.₅(C₂xC₆) = D₃₆:₃C₆	φ: C₂xC₆/C₂² → C₃ ⊆ Out Dic₉	72	12+	Dic9.5(C2xC6)	432,371
Dic₉.₆(C₂xC₆) = C₆xDic₁₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	144		Dic9.6(C2xC6)	432,340
Dic₉.₇(C₂xC₆) = C₃xD₃₆:₅C₂	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	72	2	Dic9.7(C2xC6)	432,344
Dic₉.₈(C₂xC₆) = C₃xD₄:₂D₉	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	72	4	Dic9.8(C2xC6)	432,357
Dic₉.₉(C₂xC₆) = C₃xQ₈xD₉	φ: C₂xC₆/C₆ → C₂ ⊆ Out Dic₉	144	4	Dic9.9(C2xC6)	432,364
Dic₉.₁₀(C₂xC₆) = C₃xQ₈:₃D₉	φ: trivial image	144	4	Dic9.10(C2xC6)	432,365

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