Subgroups — C₄₁×#90865 #34062997

Order 19188.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₃⋊D₃×C₄₁	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₁₃×C₄₁	C₄	1	1	yes	characteristic, complemented, Hall
3	D₃×C₁₃×C₄₁	—	6	2	no	—
4	C₄₁×Dic₁₃	—	9	1	no	maximal, Hall
5	C₃×C₁₃×C₄₁	—	2	2	no	—
6	#157×C₄₁	—	13	1	no	maximal, Hall
7	C₂×C₁₃×C₄₁	—	9	1	no	—
8	C₃⋊D₃×C₄₁	D₁₃	1	1	yes	characteristic
9	C₁₃×C₄₁	#157	1	1	yes	characteristic, complemented, Hall
10	#90865	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Hall
11	C₃²×C₄₁	Dic₁₃	1	1	yes	characteristic, complemented, Hall
12	D₃×C₄₁	—	6	2	no	—
13	C₁₃×C₃⋊D₃	C₂×C₄₁	1	1	yes	characteristic
14	C₄×C₄₁	—	117	1	no	Hall
15	C₃×C₄₁	—	2	2	no	—
16	C₃²×C₁₃	C₄×C₄₁	1	1	yes	characteristic, complemented, Hall
17	C₂×C₄₁	—	9	1	no	—
18	D₃×C₁₃	—	6	2	no	—
19	Dic₁₃	—	9	1	no	Hall
20	C₄₁	#90865	1	1	yes	characteristic, direct product factor, Sylow
21	C₃×C₁₃	—	2	2	no	—
22	#157	—	13	1	no	Hall
23	C₂×C₁₃	—	9	1	no	—
24	C₃⋊D₃	D₁₃×C₄₁	1	1	yes	characteristic
25	C₁₃	#157×C₄₁	1	1	yes	characteristic, complemented, Sylow
26	C₃²	C₄₁×Dic₁₃	1	1	yes	characteristic, complemented, Sylow
27	D₃	—	6	2	no	—
28	C₄	—	117	1	no	Sylow
29	C₃	—	2	2	no	—
30	C₂	—	9	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.