Subgroups — C₁₁×#15668505 #44541997

Order 31900.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×C₂₅×D₂₉	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₂₅×C₂₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₁×#10596817	—	5	1	no	maximal
4	C₅×C₁₁×D₂₉	D₅	1	1	yes	characteristic
5	#15668505	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₅×C₁₁×C₂₉	Dic₅	1	1	yes	characteristic
7	C₂₅×D₂₉	C₂×C₁₁	1	1	yes	characteristic
8	C₁₁×#1181	—	25	1	no	Hall
9	C₁₁×Dic₂₅	—	29	1	no	maximal, Hall
10	C₂₅×C₂₉	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
11	C₁₁×D₂₉	D₂₅	1	1	yes	characteristic
12	#10596817	—	5	1	no	—
13	C₂×C₁₁×C₂₅	—	29	1	no	—
14	C₁₁×C₂₉	Dic₂₅	1	1	yes	characteristic, complemented, Hall
15	C₅×D₂₉	D₅×C₁₁	1	1	yes	characteristic
16	C₁₁×C₂₅	#1181	1	1	yes	characteristic, complemented, Hall
17	C₁₁×Dic₅	—	145	1	no	—
18	C₅×C₂₉	C₁₁×Dic₅	1	1	yes	characteristic
19	#1181	—	25	1	no	Hall
20	C₂×C₅×C₁₁	—	29	1	no	—
21	Dic₂₅	—	29	1	no	Hall
22	D₂₉	C₁₁×D₂₅	1	1	yes	characteristic
23	C₅×C₁₁	#10596817	1	1	yes	characteristic
24	C₂×C₂₅	—	29	1	no	—
25	C₄×C₁₁	—	725	1	no	Hall
26	C₂₉	C₁₁×Dic₂₅	1	1	yes	characteristic, complemented, Sylow
27	C₂₅	C₁₁×#1181	1	1	yes	characteristic, complemented, Sylow
28	C₂×C₁₁	—	29	1	no	—
29	Dic₅	—	145	1	no	—
30	C₁₁	#15668505	1	1	yes	characteristic, direct product factor, Sylow
31	C₂×C₅	—	29	1	no	—
32	C₅	C₁₁×#10596817	1	1	yes	characteristic
33	C₄	—	725	1	no	Sylow
34	C₂	—	29	1	no	—

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.