Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₃xC₆ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂xC₆xC₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):(C₂xC₁₀) = S₃²xC₁₀	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	60	4	(C3xC6):(C2xC10)	360,153
(C₃xC₆):₂(C₂xC₁₀) = S₃xC₂xC₃₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	120		(C3xC6):2(C2xC10)	360,158
(C₃xC₆):₃(C₂xC₁₀) = C₃:S₃xC₂xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	180		(C3xC6):3(C2xC10)	360,160

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁(C₂xC₁₀) = C₅xS₃xDic₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	120	4	(C3xC6).1(C2xC10)	360,72
(C₃xC₆).₂(C₂xC₁₀) = C₅xC₆.D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	60	4	(C3xC6).2(C2xC10)	360,73
(C₃xC₆).₃(C₂xC₁₀) = C₅xD₆:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	120	4	(C3xC6).3(C2xC10)	360,74
(C₃xC₆).₄(C₂xC₁₀) = C₅xC₃:D₁₂	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	60	4	(C3xC6).4(C2xC10)	360,75
(C₃xC₆).₅(C₂xC₁₀) = C₅xC₃²:₂Q₈	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₃xC₆	120	4	(C3xC6).5(C2xC10)	360,76
(C₃xC₆).₆(C₂xC₁₀) = C₁₅xDic₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	120	2	(C3xC6).6(C2xC10)	360,95
(C₃xC₆).₇(C₂xC₁₀) = S₃xC₆₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	120	2	(C3xC6).7(C2xC10)	360,96
(C₃xC₆).₈(C₂xC₁₀) = C₁₅xD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	120	2	(C3xC6).8(C2xC10)	360,97
(C₃xC₆).₉(C₂xC₁₀) = Dic₃xC₃₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	120		(C3xC6).9(C2xC10)	360,98
(C₃xC₆).₁₀(C₂xC₁₀) = C₁₅xC₃:D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	60	2	(C3xC6).10(C2xC10)	360,99
(C₃xC₆).₁₁(C₂xC₁₀) = C₅xC₃²:₄Q₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	360		(C3xC6).11(C2xC10)	360,105
(C₃xC₆).₁₂(C₂xC₁₀) = C₃:S₃xC₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	180		(C3xC6).12(C2xC10)	360,106
(C₃xC₆).₁₃(C₂xC₁₀) = C₅xC₁₂:S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	180		(C3xC6).13(C2xC10)	360,107
(C₃xC₆).₁₄(C₂xC₁₀) = C₁₀xC₃:Dic₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	360		(C3xC6).14(C2xC10)	360,108
(C₃xC₆).₁₅(C₂xC₁₀) = C₅xC₃²:₇D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₃xC₆	180		(C3xC6).15(C2xC10)	360,109
(C₃xC₆).₁₆(C₂xC₁₀) = D₄xC₃xC₁₅	central extension (φ=1)	180		(C3xC6).16(C2xC10)	360,116
(C₃xC₆).₁₇(C₂xC₁₀) = Q₈xC₃xC₁₅	central extension (φ=1)	360		(C3xC6).17(C2xC10)	360,117

׿

x

:

Z

F

o

wr

Q

<