Subgroups — C₁₉×C₉⋊#1181 #34090607

Order 19836.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₉×D₂₉	C₂	1	1	yes	maximal, characteristic
2	C₁₉×C₃⋊#1181	—	3	1	no	maximal
3	C₉×C₁₉×C₂₉	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃×C₁₉×D₂₉	D₃	1	1	yes	characteristic
5	C₁₉×#1181	—	9	1	no	Hall
6	C₃×C₁₉×C₂₉	Dic₃	1	1	yes	characteristic
7	C₁₉×D₂₉	D₉	1	1	yes	characteristic
8	C₉⋊#1181	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₁₉×Dic₉	—	29	1	no	maximal, Hall
10	C₁₉×C₂₉	Dic₉	1	1	yes	characteristic, complemented, Hall
11	C₉×D₂₉	C₂×C₁₉	1	1	yes	characteristic
12	C₃⋊#1181	—	3	1	no	—
13	C₂×C₉×C₁₉	—	29	1	no	—
14	C₉×C₂₉	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
15	Dic₃×C₁₉	—	87	1	no	—
16	C₃×D₂₉	D₃×C₁₉	1	1	yes	characteristic
17	C₉×C₁₉	#1181	1	1	yes	characteristic, complemented, Hall
18	#1181	—	9	1	no	Hall
19	C₂×C₃×C₁₉	—	29	1	no	—
20	C₃×C₂₉	Dic₃×C₁₉	1	1	yes	characteristic
21	C₄×C₁₉	—	261	1	no	Hall
22	D₂₉	D₉×C₁₉	1	1	yes	characteristic
23	C₃×C₁₉	C₃⋊#1181	1	1	yes	characteristic
24	C₂×C₁₉	—	29	1	no	—
25	Dic₉	—	29	1	no	Hall
26	C₂₉	C₁₉×Dic₉	1	1	yes	characteristic, complemented, Sylow
27	C₁₉	C₉⋊#1181	1	1	yes	characteristic, direct product factor, Sylow
28	C₂×C₉	—	29	1	no	—
29	Dic₃	—	87	1	no	—
30	C₉	C₁₉×#1181	1	1	yes	characteristic, complemented, Sylow
31	C₂×C₃	—	29	1	no	—
32	C₄	—	261	1	no	Sylow
33	C₃	C₁₉×C₃⋊#1181	1	1	yes	characteristic
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.