Subgroups — C₃×#11760443 #15691646

Order 3159.

132 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#66851	C₃	1	3	yes	maximal
2	#11760443	C₃	1	9	yes	maximal, direct product factor
3	C₃²×C₉×C₁₃	C₃	1	1	yes	maximal, characteristic
4	C₃³×C₁₃	C₃²	1	1	yes	characteristic
5	C₃×C₉×C₁₃	—	3	2	no	—
6	C₃×C₉×C₁₃	—	3	1	no	—
7	C₃×C₉×C₁₃	C₃²	1	3	yes	—
8	#66851	—	3	6	no	—
9	#66851	C₃²	1	9	yes	—
10	C₃×C₁₃⋊C₉	—	3	3	no	—
11	C₃×#733	—	13	1	no	maximal, Sylow
12	C₃²×C₁₃	—	3	3	no	—
13	C₃²×C₁₃	H(3,𝔽₃)	1	2	yes	—
14	C₃²×C₁₃	H(3,𝔽₃)	1	1	yes	characteristic
15	C₃²×C₁₃	C₃³	1	1	yes	characteristic
16	C₉×C₁₃	—	3	3	no	—
17	C₁₃⋊C₉	—	3	9	no	—
18	C₃×3₋¹⁺²	—	13	3	no	—
19	C₃²×C₉	C₁₃⋊C₃	1	1	yes	characteristic
20	#733	—	13	9	no	—
21	C₃×C₁₃	—	3	2	no	—
22	C₃×C₁₃	—	3	1	no	—
23	C₃×C₁₃	#733	1	3	yes	complemented
24	C₃×C₁₃	C₃×H(3,𝔽₃)	1	1	yes	characteristic
25	C₃³	C₃×C₁₃⋊C₃	1	1	yes	characteristic
26	3₋¹⁺²	—	13	9	no	—
27	3₋¹⁺²	—	39	6	no	—
28	C₃×C₉	—	3	2	no	—
29	C₃×C₉	—	3	1	no	—
30	C₃×C₉	—	39	3	no	—
31	C₃×C₉	C₃×C₁₃⋊C₃	1	3	yes	—
32	C₁₃	C₃×#733	1	1	yes	characteristic, complemented, Sylow
33	C₃²	—	3	3	no	—
34	C₃²	C₃²⋊(C₁₃⋊C₃)	1	2	yes	—
35	C₃²	C₃²⋊(C₁₃⋊C₃)	1	1	yes	characteristic
36	C₃²	C₃²×C₁₃⋊C₃	1	1	yes	characteristic
37	C₉	—	3	3	no	—
38	C₉	—	39	9	no	—
39	C₃	—	3	2	no	—
40	C₃	—	3	1	no	—
41	C₃	#11760443	1	3	yes	direct product factor
42	C₃	C₃×C₃²⋊(C₁₃⋊C₃)	1	1	yes	characteristic

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.