Subgroups — #28356855

Order 13851.

290 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	(C₃×#4296)⋊C₉	C₃	1	12	yes	maximal
2	C₉²×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
3	C₃²×#4296	C₃²	1	9	yes	—
4	C₃×C₉×C₁₉⋊C₃	C₃²	1	4	yes	—
5	C₉×#4294	C₉	1	8	yes	complemented
6	C₉²×C₁₉	C₉	1	1	yes	characteristic, complemented
7	#10624552	—	19	1	no	maximal, Sylow
8	C₃²×C₁₉⋊C₃	C₃³	1	1	yes	characteristic
9	C₃×#4296	—	3	36	no	—
10	C₃×C₉×C₁₉	C₃×C₉	1	4	yes	—
11	C₃×#4294	C₃×C₉	1	8	yes	—
12	C₉×C₁₉⋊C₃	—	3	12	no	—
13	C₃×C₉²	—	19	1	no	—
14	#6855	—	19	12	no	—
15	C₃²×C₁₉	C₃²×C₉	1	1	yes	characteristic
16	C₃×C₁₉⋊C₃	#737	1	12	yes	—
17	#4296	—	9	9	no	—
18	C₉×C₁₉	—	3	4	no	—
19	#4294	—	3	8	no	—
20	C₃²×C₉	—	19	4	no	—
21	C₃²×C₉	—	19	9	no	—
22	C₉²	—	19	8	no	—
23	C₉²	#4296	1	1	yes	characteristic, complemented
24	C₃×C₁₉	#6887	1	4	yes	—
25	C₁₉⋊C₃	#6898	1	9	yes	—
26	C₃³	—	19	1	no	—
27	C₃×C₉	—	19	8	no	—
28	C₃×C₉	—	57	12	no	—
29	C₃×C₉	—	57	36	no	—
30	C₃×C₉	C₃×#4296	1	4	yes	—
31	C₁₉	#10624552	1	1	yes	characteristic, complemented, Sylow
32	C₃²	—	19	12	no	—
33	C₃²	C₃²×#4296	1	1	yes	characteristic
34	C₉	—	3	4	no	—
35	C₉	—	57	8	no	—
36	C₉	—	171	9	no	—
37	C₃	—	19	9	no	—
38	C₃	#17987589	1	4	yes	—

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.