Subgroups — C₁₁×#15692430 #49088313

Order 35739.

48 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₁×C₁₉²	C₃	1	1	yes	maximal, characteristic
2	C₁₁×C₁₉²	C₉	1	1	yes	characteristic, complemented, Hall
3	#15692430	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×#4294	—	19	2	no	maximal
5	C₃×C₁₉²	C₃×C₁₁	1	1	yes	characteristic
6	C₃×C₁₁×C₁₉	—	3	6	no	—
7	C₃×C₁₁×C₁₉	C₁₉⋊C₃	1	2	yes	—
8	C₁₉²	C₉×C₁₁	1	1	yes	characteristic, complemented, Sylow
9	C₁₁×C₁₉	—	3	6	no	—
10	C₁₁×C₁₉	#4294	1	2	yes	complemented
11	#4294	—	19	2	no	—
12	C₉×C₁₁	—	361	1	no	Hall
13	C₃×C₁₉	—	3	6	no	—
14	C₃×C₁₉	C₁₁×C₁₉⋊C₃	1	2	yes	—
15	C₃×C₁₁	#11762246	1	1	yes	characteristic
16	C₁₉	—	3	6	no	—
17	C₁₉	C₁₁×#4294	1	2	yes	complemented
18	C₁₁	#15692430	1	1	yes	characteristic, direct product factor, Sylow
19	C₉	—	361	1	no	Sylow
20	C₃	C₁₁×#11762246	1	1	yes	characteristic

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

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.