Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xD₉

Direct product G=NxQ with N=C₆ and Q=C₄xD₉

		d	ρ	Label	ID
D₉xC₂xC₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₆ and Q=C₄xD₉

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(C₄xD₉) = C₂xC₁₈.D₆	φ: C₄xD₉/Dic₉ → C₂ ⊆ Aut C₆	72	C6:1(C4xD9)	432,306
C₆:₂(C₄xD₉) = C₂xC₄xC₉:S₃	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216	C6:2(C4xD9)	432,381
C₆:₃(C₄xD₉) = C₂xDic₃xD₉	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144	C6:3(C4xD9)	432,304

Non-split extensions G=N.Q with N=C₆ and Q=C₄xD₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xD₉) = C₃₆.₃₈D₆	φ: C₄xD₉/Dic₉ → C₂ ⊆ Aut C₆	72	4	C6.1(C4xD9)	432,59
C₆.₂(C₄xD₉) = C₃₆.₄₀D₆	φ: C₄xD₉/Dic₉ → C₂ ⊆ Aut C₆	72	4	C6.2(C4xD9)	432,61
C₆.₃(C₄xD₉) = C₁₈.Dic₆	φ: C₄xD₉/Dic₉ → C₂ ⊆ Aut C₆	144		C6.3(C4xD9)	432,89
C₆.₄(C₄xD₉) = C₆.₁₈D₃₆	φ: C₄xD₉/Dic₉ → C₂ ⊆ Aut C₆	72		C6.4(C4xD9)	432,92
C₆.₅(C₄xD₉) = C₈xD₂₇	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216	2	C6.5(C4xD9)	432,5
C₆.₆(C₄xD₉) = C₈:D₂₇	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216	2	C6.6(C4xD9)	432,6
C₆.₇(C₄xD₉) = C₄xDic₂₇	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.7(C4xD9)	432,11
C₆.₈(C₄xD₉) = Dic₂₇:C₄	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.8(C4xD9)	432,12
C₆.₉(C₄xD₉) = D₅₄:C₄	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.9(C4xD9)	432,14
C₆.₁₀(C₄xD₉) = C₂xC₄xD₂₇	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.10(C4xD9)	432,44
C₆.₁₁(C₄xD₉) = C₈xC₉:S₃	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.11(C4xD9)	432,169
C₆.₁₂(C₄xD₉) = C₇₂:S₃	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.12(C4xD9)	432,170
C₆.₁₃(C₄xD₉) = C₄xC₉:Dic₃	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.13(C4xD9)	432,180
C₆.₁₄(C₄xD₉) = C₆.Dic₁₈	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	432		C6.14(C4xD9)	432,181
C₆.₁₅(C₄xD₉) = C₆.₁₁D₃₆	φ: C₄xD₉/C₃₆ → C₂ ⊆ Aut C₆	216		C6.15(C4xD9)	432,183
C₆.₁₆(C₄xD₉) = D₉xC₃:C₈	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144	4	C6.16(C4xD9)	432,58
C₆.₁₇(C₄xD₉) = C₃₆.₃₉D₆	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144	4	C6.17(C4xD9)	432,60
C₆.₁₈(C₄xD₉) = Dic₃xDic₉	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.18(C4xD9)	432,87
C₆.₁₉(C₄xD₉) = Dic₉:Dic₃	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.19(C4xD9)	432,88
C₆.₂₀(C₄xD₉) = D₁₈:Dic₃	φ: C₄xD₉/D₁₈ → C₂ ⊆ Aut C₆	144		C6.20(C4xD9)	432,91
C₆.₂₁(C₄xD₉) = D₉xC₂₄	central extension (φ=1)	144	2	C6.21(C4xD9)	432,105
C₆.₂₂(C₄xD₉) = C₃xC₈:D₉	central extension (φ=1)	144	2	C6.22(C4xD9)	432,106
C₆.₂₃(C₄xD₉) = C₁₂xDic₉	central extension (φ=1)	144		C6.23(C4xD9)	432,128
C₆.₂₄(C₄xD₉) = C₃xDic₉:C₄	central extension (φ=1)	144		C6.24(C4xD9)	432,129
C₆.₂₅(C₄xD₉) = C₃xD₁₈:C₄	central extension (φ=1)	144		C6.25(C4xD9)	432,134

Extensions 1→N→G→Q→1 with N=C6 and Q=C4xD9

Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xD₉