Subgroups — C₅×C₁₁×#4296 #22627872

Order 9405.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₁₁×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₁₁×#4296	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₅×C₁₁×C₁₉	C₉	1	1	yes	characteristic, complemented, Hall
4	C₅×#4296	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₁₁×C₁₉⋊C₃	C₃×C₅	1	1	yes	characteristic
6	C₅×C₉×C₁₁	—	19	1	no	maximal, Hall
7	C₅×C₁₉⋊C₃	C₃×C₁₁	1	1	yes	characteristic
8	C₁₁×C₁₉	C₅×C₉	1	1	yes	characteristic, complemented, Hall
9	#4296	C₅×C₁₁	1	1	yes	characteristic, direct product factor, Hall
10	C₃×C₅×C₁₁	—	19	1	no	—
11	C₉×C₁₁	—	19	1	no	Hall
12	C₅×C₁₉	C₉×C₁₁	1	1	yes	characteristic, complemented, Hall
13	C₁₉⋊C₃	C₃×C₅×C₁₁	1	1	yes	characteristic
14	C₅×C₁₁	#4296	1	1	yes	characteristic, direct product factor, Hall
15	C₅×C₉	—	19	1	no	Hall
16	C₃×C₁₁	—	19	1	no	—
17	C₁₉	C₅×C₉×C₁₁	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₅	—	19	1	no	—
19	C₁₁	C₅×#4296	1	1	yes	characteristic, direct product factor, Sylow
20	C₉	—	19	1	no	Sylow
21	C₅	C₁₁×#4296	1	1	yes	characteristic, direct product factor, Sylow
22	C₃	—	19	1	no	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.