Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₁₀

Direct product G=NxQ with N=C₆ and Q=S₃xC₁₀

		d	ρ	Label	ID
S₃xC₂xC₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₆ and Q=S₃xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(S₃xC₁₀) = S₃²xC₁₀	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	60	4	C6:1(S3xC10)	360,153
C₆:₂(S₃xC₁₀) = C₃:S₃xC₂xC₁₀	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180		C6:2(S3xC10)	360,160

Non-split extensions G=N.Q with N=C₆ and Q=S₃xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃xC₁₀) = C₅xS₃xDic₃	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	120	4	C6.1(S3xC10)	360,72
C₆.₂(S₃xC₁₀) = C₅xC₆.D₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	60	4	C6.2(S3xC10)	360,73
C₆.₃(S₃xC₁₀) = C₅xD₆:S₃	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	120	4	C6.3(S3xC10)	360,74
C₆.₄(S₃xC₁₀) = C₅xC₃:D₁₂	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	60	4	C6.4(S3xC10)	360,75
C₆.₅(S₃xC₁₀) = C₅xC₃²:₂Q₈	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₆	120	4	C6.5(S3xC10)	360,76
C₆.₆(S₃xC₁₀) = C₅xDic₁₈	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	360	2	C6.6(S3xC10)	360,20
C₆.₇(S₃xC₁₀) = D₉xC₂₀	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180	2	C6.7(S3xC10)	360,21
C₆.₈(S₃xC₁₀) = C₅xD₃₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180	2	C6.8(S3xC10)	360,22
C₆.₉(S₃xC₁₀) = C₁₀xDic₉	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	360		C6.9(S3xC10)	360,23
C₆.₁₀(S₃xC₁₀) = C₅xC₉:D₄	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180	2	C6.10(S3xC10)	360,24
C₆.₁₁(S₃xC₁₀) = D₉xC₂xC₁₀	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180		C6.11(S3xC10)	360,48
C₆.₁₂(S₃xC₁₀) = C₅xC₃²:₄Q₈	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	360		C6.12(S3xC10)	360,105
C₆.₁₃(S₃xC₁₀) = C₃:S₃xC₂₀	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180		C6.13(S3xC10)	360,106
C₆.₁₄(S₃xC₁₀) = C₅xC₁₂:S₃	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180		C6.14(S3xC10)	360,107
C₆.₁₅(S₃xC₁₀) = C₁₀xC₃:Dic₃	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	360		C6.15(S3xC10)	360,108
C₆.₁₆(S₃xC₁₀) = C₅xC₃²:₇D₄	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₆	180		C6.16(S3xC10)	360,109
C₆.₁₇(S₃xC₁₀) = C₁₅xDic₆	central extension (φ=1)	120	2	C6.17(S3xC10)	360,95
C₆.₁₈(S₃xC₁₀) = S₃xC₆₀	central extension (φ=1)	120	2	C6.18(S3xC10)	360,96
C₆.₁₉(S₃xC₁₀) = C₁₅xD₁₂	central extension (φ=1)	120	2	C6.19(S3xC10)	360,97
C₆.₂₀(S₃xC₁₀) = Dic₃xC₃₀	central extension (φ=1)	120		C6.20(S3xC10)	360,98
C₆.₂₁(S₃xC₁₀) = C₁₅xC₃:D₄	central extension (φ=1)	60	2	C6.21(S3xC10)	360,99

Extensions 1→N→G→Q→1 with N=C6 and Q=S3xC10

Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₁₀