Subgroups — C₁₁×#15668535 #44542097

Order 31900.

96 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅²×C₁₁×D₂₉	C₂	1	1	yes	maximal, characteristic
2	C₅²×C₁₁×C₂₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₁×#10596817	—	5	6	no	maximal
4	C₅×C₁₁×D₂₉	D₅	1	6	yes	—
5	#15668535	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₅×C₁₁×C₂₉	Dic₅	1	6	yes	complemented
7	C₅²×D₂₉	C₂×C₁₁	1	1	yes	characteristic
8	C₁₁×#1181	—	25	1	no	Hall
9	C₁₁×#1039	—	29	1	no	maximal, Hall
10	C₅²×C₂₉	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
11	C₁₁×D₂₉	C₅⋊D₅	1	1	yes	characteristic
12	#10596817	—	5	6	no	—
13	C₂×C₅²×C₁₁	—	29	1	no	—
14	C₁₁×C₂₉	#1039	1	1	yes	characteristic, complemented, Hall
15	C₅×D₂₉	D₅×C₁₁	1	6	yes	—
16	C₅²×C₁₁	#1181	1	1	yes	characteristic, complemented, Hall
17	C₁₁×Dic₅	—	145	6	no	—
18	C₅×C₂₉	C₁₁×Dic₅	1	6	yes	complemented
19	#1181	—	25	1	no	Hall
20	C₂×C₅×C₁₁	—	29	6	no	—
21	#1039	—	29	1	no	Hall
22	D₂₉	C₁₁×C₅⋊D₅	1	1	yes	characteristic
23	C₅×C₁₁	#10596817	1	6	yes	complemented
24	C₂×C₅²	—	29	1	no	—
25	C₄×C₁₁	—	725	1	no	Hall
26	C₂₉	C₁₁×#1039	1	1	yes	characteristic, complemented, Sylow
27	C₅²	C₁₁×#1181	1	1	yes	characteristic, complemented, Sylow
28	C₂×C₁₁	—	29	1	no	—
29	Dic₅	—	145	6	no	—
30	C₁₁	#15668535	1	1	yes	characteristic, direct product factor, Sylow
31	C₂×C₅	—	29	6	no	—
32	C₅	C₁₁×#10596817	1	6	yes	complemented
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.