Subgroups — C₁₃×#90866 #20258971

Order 6084.

58 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₃⋊D₃₉	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₁₃²	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₃×D₃₉	—	6	2	no	—
4	C₁₃×#261	—	9	1	no	maximal, Hall
5	C₃×C₁₃²	—	2	2	no	—
6	#90866	C₁₃	1	1	yes	maximal, characteristic, direct product factor
7	C₁₃×#157	—	13	1	no	maximal
8	C₁₃×D₁₃	—	9	1	no	—
9	C₃⋊D₃₉	C₂×C₁₃	1	1	yes	characteristic
10	C₁₃×C₃⋊D₃	—	13	1	no	—
11	C₁₃²	#157	1	1	yes	characteristic, complemented, Sylow
12	C₃²×C₁₃	—	4	3	no	—
13	C₃²×C₁₃	C₄×C₁₃	1	1	yes	characteristic, complemented
14	C₃²×C₁₃	#261	1	1	yes	characteristic, complemented
15	D₃₉	—	6	2	no	—
16	D₃×C₁₃	—	78	2	no	—
17	#261	—	9	1	no	—
18	C₄×C₁₃	—	117	1	no	—
19	C₃×C₁₃	—	2	2	no	—
20	C₃×C₁₃	—	2	2	no	—
21	C₃×C₁₃	—	4	12	no	—
22	#157	—	13	1	no	Hall
23	C₂×C₁₃	—	117	1	no	—
24	D₁₃	—	9	1	no	—
25	C₃⋊D₃	—	13	1	no	—
26	C₁₃	—	4	3	no	—
27	C₁₃	C₁₃×#157	1	1	yes	characteristic, complemented
28	C₁₃	#90866	1	1	yes	characteristic, direct product factor
29	C₃²	C₁₃×#261	1	1	yes	characteristic, complemented, Sylow
30	D₃	—	78	2	no	—
31	C₄	—	117	1	no	Sylow
32	C₃	—	2	2	no	—
33	C₂	—	117	1	no	—

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