Subgroups — C₃×#10599198 #14289428

Order 1920.

512 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#66052	C₂	1	1	yes	maximal, characteristic
2	C₃×#65365	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65139	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#65131	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#331	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#64704	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#64703	C₂	1	1	yes	maximal, characteristic, complemented
8	#10599198	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₂×C₃×#711	—	2	1	no	—
10	C₃×C₅×#127	C₂²	1	1	yes	characteristic
11	C₃×#4086	—	2	1	no	—
12	C₃×#4085	—	2	2	no	—
13	C₃×#4084	—	2	1	no	—
14	C₃×D₄×Dic₅	—	2	1	no	—
15	C₂×C₃×#687	—	2	2	no	—
16	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
17	C₃×#4015	C₂²	1	1	yes	characteristic
18	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
19	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
20	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
21	C₃×#3953	—	2	1	no	—
22	C₃×#3950	—	2	1	no	—
23	C₃×#3949	—	2	1	no	—
24	C₃×#3948	—	2	1	no	—
25	C₃×C₄×#168	C₂²	1	1	yes	characteristic
26	C₃×#1631	—	5	1	no	maximal, Hall
27	#66052	C₂×C₃	1	1	yes	characteristic
28	#65365	C₂×C₃	1	1	yes	characteristic, complemented
29	#65139	C₂×C₃	1	1	yes	characteristic, complemented
30	#65131	C₂×C₃	1	1	yes	characteristic, complemented
31	C₅×#331	C₂×C₃	1	1	yes	characteristic, complemented
32	#64704	C₂×C₃	1	1	yes	characteristic, complemented
33	#64703	C₂×C₃	1	1	yes	characteristic, complemented
34	C₂×C₃×C₅×D₄	—	2	1	no	—
35	C₂×C₃×C₅×D₄	—	2	1	no	—
36	C₂×C₃×C₅×D₄	D₄	1	2	yes	—
37	C₂×C₃×C₂²⋊D₅	—	2	2	no	—
38	C₂×C₃×C₂²⋊D₅	—	2	2	no	—
39	C₂²×C₃×Dic₅	—	2	2	no	—
40	C₃×#711	—	4	2	no	—
41	C₃×#711	—	4	2	no	—
42	C₂×C₃×D₂₀	D₄	1	1	yes	characteristic
43	C₂×C₃×C₄×D₅	—	2	1	no	—
44	C₂×C₃×Dic₁₀	—	2	1	no	—
45	C₂×C₃×Dic₁₀	D₄	1	1	yes	characteristic
46	C₂×C₃×C₅×C₈	—	2	1	no	—
47	C₂×C₃×C₅×C₈	—	2	1	no	—
48	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
49	C₃×C₂²⋊Dic₅	—	2	2	no	—
50	C₃×#687	—	4	4	no	—
51	C₃×#685	—	2	1	no	—
52	C₃×C₄⋊Dic₅	—	2	1	no	—
53	C₃×C₄⋊Dic₅	—	2	1	no	—
54	C₃×C₄⋊Dic₅	D₄	1	1	yes	characteristic
55	C₃×C₄⋊Dic₅	D₄	1	1	yes	characteristic
56	C₃×#683	—	2	1	no	—
57	C₃×C₄×Dic₅	—	2	1	no	—
58	C₂×C₃×#168	—	2	1	no	—
59	C₃×#550	—	5	1	no	—
60	C₃×#492	—	5	1	no	—
61	C₃×#477	—	5	1	no	—
62	C₃×#476	—	5	1	no	—
63	C₃×#331	D₅	1	1	yes	characteristic, complemented
64	C₃×Q₈⋊C₈	—	5	1	no	—
65	C₃×D₄⋊C₈	—	5	1	no	—
66	C₂×#711	—	2	1	no	—
67	C₅×#127	C₂²×C₃	1	1	yes	characteristic
68	#4086	—	2	1	no	—
69	#4085	—	2	2	no	—
70	#4084	—	2	1	no	—
71	D₄×Dic₅	—	2	1	no	—
72	C₂×#687	—	2	2	no	—
73	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
74	#4015	C₂²×C₃	1	1	yes	characteristic
75	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic
76	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
77	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
78	#3953	—	2	1	no	—
79	#3950	—	2	1	no	—
80	#3949	—	2	1	no	—
81	#3948	—	2	1	no	—
82	C₄×#168	C₂²×C₃	1	1	yes	characteristic
83	#1631	—	5	1	no	Sylow
84	C₂³×C₃×C₅	—	2	2	no	—
85	C₂²×C₃×D₅	—	2	1	no	—
86	C₃×C₅×D₄	—	4	2	no	—
87	C₃×C₅×D₄	—	4	1	no	—
88	C₃×C₅×D₄	—	4	1	no	—
89	C₃×C₅×D₄	—	4	1	no	—
90	C₃×C₅×D₄	—	4	1	no	—
91	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
92	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
93	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
94	C₃×C₂²⋊D₅	—	4	4	no	—
95	C₃×C₂²⋊D₅	—	8	2	no	—
96	C₂×C₃×Dic₅	—	2	1	no	—
97	C₂×C₃×Dic₅	—	2	1	no	—
98	C₂×C₃×Dic₅	—	2	1	no	—
99	C₂×C₃×Dic₅	—	4	4	no	—
100	C₂×C₃×Dic₅	—	4	1	no	—
101	C₃×D₂₀	—	2	1	no	—
102	C₃×D₂₀	—	2	1	no	—
103	C₃×C₄×D₅	—	4	1	no	—
104	C₃×C₄×D₅	—	4	1	no	—
105	C₃×Dic₁₀	—	2	1	no	—
106	C₃×Dic₁₀	—	4	2	no	—
107	C₃×Dic₁₀	SD₁₆	1	2	yes	complemented
108	C₃×C₅×C₈	—	4	1	no	—
109	C₃×C₅×C₈	—	4	1	no	—
110	C₃×#168	—	2	2	no	—
111	C₂×C₃×#41	—	10	1	no	—
112	C₂×C₃×SD₁₆	—	10	2	no	—
113	C₃×C₄⋊Q₈	—	5	1	no	—
114	C₃×#127	—	10	1	no	—
115	C₃×#127	C₂×D₅	1	1	yes	characteristic
116	C₃×#121	—	10	1	no	—
117	C₃×#121	—	10	2	no	—
118	C₃×C₄×Q₈	—	5	1	no	—
119	C₃×C₄×D₄	—	5	1	no	—
120	C₃×C₄×D₄	—	10	1	no	—
121	C₃×#107	—	10	1	no	—
122	C₃×#106	—	10	1	no	—
123	C₃×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
124	C₃×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
125	C₃×#103	—	10	1	no	—
126	C₃×#102	—	10	1	no	—
127	C₃×C₄×C₈	—	5	1	no	—
128	C₂×C₅×D₄	—	2	1	no	—
129	C₂×C₅×D₄	—	2	1	no	—
130	C₂×C₅×D₄	C₃×D₄	1	2	yes	—
131	C₂×C₂²⋊D₅	—	2	2	no	—
132	C₂×C₂²⋊D₅	—	2	2	no	—
133	C₂²×Dic₅	—	2	2	no	—
134	#711	—	4	2	no	—
135	#711	—	4	2	no	—
136	C₂×D₂₀	C₃×D₄	1	1	yes	characteristic
137	C₂×C₄×D₅	—	2	1	no	—
138	C₂×Dic₁₀	—	2	1	no	—
139	C₂×Dic₁₀	C₃×D₄	1	1	yes	characteristic
140	C₂×C₅×C₈	—	2	1	no	—
141	C₂×C₅×C₈	—	2	1	no	—
142	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
143	C₂²⋊Dic₅	—	2	2	no	—
144	#687	—	4	4	no	—
145	#685	—	2	1	no	—
146	C₄⋊Dic₅	—	2	1	no	—
147	C₄⋊Dic₅	—	2	1	no	—
148	C₄⋊Dic₅	C₃×D₄	1	1	yes	characteristic
149	C₄⋊Dic₅	C₃×D₄	1	1	yes	characteristic
150	#683	—	2	1	no	—
151	C₄×Dic₅	—	2	1	no	—
152	C₂×#168	—	2	1	no	—
153	#550	—	5	1	no	—
154	#492	—	5	1	no	—
155	#477	—	5	1	no	—
156	#476	—	5	1	no	—
157	#331	C₃×D₅	1	1	yes	characteristic, complemented
158	Q₈⋊C₈	—	5	1	no	—
159	D₄⋊C₈	—	5	1	no	—
160	C₂²×C₃×C₅	—	4	2	no	—
161	C₂²×C₃×C₅	—	4	2	no	—
162	C₂²×C₃×C₅	—	4	2	no	—
163	C₂²×C₃×C₅	#120	1	1	yes	characteristic
164	C₂×C₃×D₅	—	4	1	no	—
165	C₂×C₃×D₅	—	4	1	no	—
166	C₂×C₃×D₅	—	4	1	no	—
167	C₃×C₄×C₅	—	2	1	no	—
168	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
169	C₃×C₄×C₅	#135	1	1	yes	characteristic
170	C₃×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
171	C₃×C₄×C₅	#137	1	1	yes	characteristic
172	C₃×Dic₅	—	2	2	no	—
173	C₃×Dic₅	—	4	1	no	—
174	C₃×Dic₅	—	4	1	no	—
175	C₃×Dic₅	—	8	1	no	—
176	C₃×#41	—	20	2	no	—
177	C₃×#41	—	20	2	no	—
178	C₂×C₃×Q₈	—	5	1	no	—
179	C₂×C₃×Q₈	—	10	1	no	—
180	C₂×C₃×D₄	—	2	1	no	—
181	C₂×C₃×D₄	—	2	1	no	—
182	C₂×C₃×D₄	—	5	1	no	—
183	C₂×C₃×D₄	—	10	2	no	—
184	C₂×C₃×D₄	—	10	2	no	—
185	C₂×C₃×D₄	D₂₀	1	2	yes	—
186	C₂²×C₃×C₄	—	10	2	no	—
187	C₂²×C₃×C₄	—	10	1	no	—
188	C₃×SD₁₆	—	20	4	no	—
189	C₂×C₃×C₈	—	2	1	no	—
190	C₂×C₃×C₈	—	2	1	no	—
191	C₂×C₃×C₈	—	10	1	no	—
192	C₃×C₄⋊C₄	—	5	1	no	—
193	C₃×C₄⋊C₄	—	5	1	no	—
194	C₃×C₄⋊C₄	—	10	1	no	—
195	C₃×C₄⋊C₄	—	10	1	no	—
196	C₃×C₄⋊C₄	—	10	1	no	—
197	C₃×C₂²⋊C₄	—	10	2	no	—
198	C₃×C₂²⋊C₄	—	10	1	no	—
199	C₃×C₄²	—	10	1	no	—
200	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
201	C₂³×C₅	—	2	2	no	—
202	C₂²×D₅	—	2	1	no	—
203	C₅×D₄	—	4	2	no	—
204	C₅×D₄	—	4	1	no	—
205	C₅×D₄	—	4	1	no	—
206	C₅×D₄	—	4	1	no	—
207	C₅×D₄	—	4	1	no	—
208	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
209	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
210	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
211	C₂²⋊D₅	—	4	4	no	—
212	C₂²⋊D₅	—	8	2	no	—
213	C₂×Dic₅	—	2	1	no	—
214	C₂×Dic₅	—	2	1	no	—
215	C₂×Dic₅	—	2	1	no	—
216	C₂×Dic₅	—	4	4	no	—
217	C₂×Dic₅	—	4	1	no	—
218	D₂₀	—	2	1	no	—
219	D₂₀	—	2	1	no	—
220	C₄×D₅	—	4	1	no	—
221	C₄×D₅	—	4	1	no	—
222	Dic₁₀	—	2	1	no	—
223	Dic₁₀	—	4	2	no	—
224	Dic₁₀	C₃×SD₁₆	1	2	yes	complemented
225	C₅×C₈	—	4	1	no	—
226	C₅×C₈	—	4	1	no	—
227	#168	—	2	2	no	—
228	C₂×#41	—	10	1	no	—
229	C₂×SD₁₆	—	10	2	no	—
230	C₄⋊Q₈	—	5	1	no	—
231	#127	—	10	1	no	—
232	#127	C₂×C₃×D₅	1	1	yes	characteristic
233	#121	—	10	1	no	—
234	#121	—	10	2	no	—
235	C₄×Q₈	—	5	1	no	—
236	C₄×D₄	—	5	1	no	—
237	C₄×D₄	—	10	1	no	—
238	#107	—	10	1	no	—
239	#106	—	10	1	no	—
240	C₄⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
241	C₄⋊C₈	C₂×C₃×D₅	1	1	yes	characteristic
242	#103	—	10	1	no	—
243	#102	—	10	1	no	—
244	C₄×C₈	—	5	1	no	—
245	C₂×C₃×C₅	—	8	2	no	—
246	C₂×C₃×C₅	#450	1	1	yes	characteristic
247	C₂×C₃×C₅	#452	1	1	yes	characteristic
248	C₂×C₃×C₅	#453	1	1	yes	characteristic
249	C₃×D₅	—	8	1	no	—
250	C₂³×C₃	—	2	2	no	—
251	C₂³×C₃	—	10	1	no	—
252	C₃×Q₈	—	5	2	no	—
253	C₃×Q₈	—	10	1	no	—
254	C₃×Q₈	—	20	2	no	—
255	C₃×D₄	—	4	2	no	—
256	C₃×D₄	—	4	1	no	—
257	C₃×D₄	—	4	1	no	—
258	C₃×D₄	—	4	1	no	—
259	C₃×D₄	—	4	1	no	—
260	C₃×D₄	—	10	1	no	—
261	C₃×D₄	—	10	1	no	—
262	C₃×D₄	—	20	4	no	—
263	C₃×D₄	—	40	2	no	—
264	C₂×C₃×C₄	—	10	1	no	—
265	C₂×C₃×C₄	—	10	1	no	—
266	C₂×C₃×C₄	—	10	1	no	—
267	C₂×C₃×C₄	—	20	4	no	—
268	C₂×C₃×C₄	—	20	1	no	—
269	C₂×C₃×C₄	—	20	1	no	—
270	C₂×C₃×C₄	—	20	1	no	—
271	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
272	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
273	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
274	C₃×C₈	—	4	1	no	—
275	C₃×C₈	—	4	1	no	—
276	C₃×C₈	—	10	2	no	—
277	C₂²×C₅	—	4	2	no	—
278	C₂²×C₅	—	4	2	no	—
279	C₂²×C₅	—	4	2	no	—
280	C₂²×C₅	C₃×#120	1	1	yes	characteristic
281	C₂×D₅	—	4	1	no	—
282	C₂×D₅	—	4	1	no	—
283	C₂×D₅	—	4	1	no	—
284	C₄×C₅	—	2	1	no	—
285	C₄×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
286	C₄×C₅	C₃×#135	1	1	yes	characteristic
287	C₄×C₅	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
288	C₄×C₅	C₃×#137	1	1	yes	characteristic
289	Dic₅	—	2	2	no	—
290	Dic₅	—	4	1	no	—
291	Dic₅	—	4	1	no	—
292	Dic₅	—	8	1	no	—
293	#41	—	20	2	no	—
294	#41	—	20	2	no	—
295	C₂×Q₈	—	5	1	no	—
296	C₂×Q₈	—	10	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	2	1	no	—
299	C₂×D₄	—	5	1	no	—
300	C₂×D₄	—	10	2	no	—
301	C₂×D₄	—	10	2	no	—
302	C₂×D₄	C₃×D₂₀	1	2	yes	—
303	C₂²×C₄	—	10	2	no	—
304	C₂²×C₄	—	10	1	no	—
305	SD₁₆	—	20	4	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	10	1	no	—
309	C₄⋊C₄	—	5	1	no	—
310	C₄⋊C₄	—	5	1	no	—
311	C₄⋊C₄	—	10	1	no	—
312	C₄⋊C₄	—	10	1	no	—
313	C₄⋊C₄	—	10	1	no	—
314	C₂²⋊C₄	—	10	2	no	—
315	C₂²⋊C₄	—	10	1	no	—
316	C₄²	—	10	1	no	—
317	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
318	C₃×C₅	#1631	1	1	yes	characteristic, complemented, Hall
319	C₂²×C₃	—	4	2	no	—
320	C₂²×C₃	—	4	2	no	—
321	C₂²×C₃	—	4	2	no	—
322	C₂²×C₃	—	20	1	no	—
323	C₂²×C₃	—	20	1	no	—
324	C₂²×C₃	—	20	1	no	—
325	C₂²×C₃	#4028	1	1	yes	characteristic
326	C₃×C₄	—	2	1	no	—
327	C₃×C₄	—	10	2	no	—
328	C₃×C₄	—	20	1	no	—
329	C₃×C₄	—	20	1	no	—
330	C₃×C₄	—	40	1	no	—
331	C₃×C₄	#4057	1	1	yes	characteristic
332	C₃×C₄	#4058	1	1	yes	characteristic
333	C₃×C₄	D₅×SD₁₆	1	1	yes	characteristic
334	C₃×C₄	#4061	1	1	yes	characteristic
335	C₂×C₅	—	8	2	no	—
336	C₂×C₅	C₃×#450	1	1	yes	characteristic
337	C₂×C₅	C₃×#452	1	1	yes	characteristic
338	C₂×C₅	C₃×#453	1	1	yes	characteristic
339	D₅	—	8	1	no	—
340	C₂³	—	2	2	no	—
341	C₂³	—	10	1	no	—
342	Q₈	—	5	2	no	—
343	Q₈	—	10	1	no	—
344	Q₈	—	20	2	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	1	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	1	no	—
349	D₄	—	4	1	no	—
350	D₄	—	10	1	no	—
351	D₄	—	10	1	no	—
352	D₄	—	20	4	no	—
353	D₄	—	40	2	no	—
354	C₂×C₄	—	10	1	no	—
355	C₂×C₄	—	10	1	no	—
356	C₂×C₄	—	10	1	no	—
357	C₂×C₄	—	20	4	no	—
358	C₂×C₄	—	20	1	no	—
359	C₂×C₄	—	20	1	no	—
360	C₂×C₄	—	20	1	no	—
361	C₂×C₄	C₂×C₃×D₂₀	1	1	yes	characteristic
362	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
363	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
364	C₈	—	4	1	no	—
365	C₈	—	4	1	no	—
366	C₈	—	10	2	no	—
367	C₂×C₃	—	8	2	no	—
368	C₂×C₃	—	40	1	no	—
369	C₂×C₃	#65036	1	1	yes	characteristic
370	C₂×C₃	#65065	1	1	yes	characteristic
371	C₂×C₃	#65072	1	1	yes	characteristic
372	C₅	C₃×#1631	1	1	yes	characteristic, complemented, Sylow
373	C₂²	—	4	2	no	—
374	C₂²	—	4	2	no	—
375	C₂²	—	4	2	no	—
376	C₂²	—	20	1	no	—
377	C₂²	—	20	1	no	—
378	C₂²	—	20	1	no	—
379	C₂²	C₃×#4028	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	10	2	no	—
382	C₄	—	20	1	no	—
383	C₄	—	20	1	no	—
384	C₄	—	40	1	no	—
385	C₄	C₃×#4057	1	1	yes	characteristic
386	C₄	C₃×#4058	1	1	yes	characteristic
387	C₄	C₃×D₅×SD₁₆	1	1	yes	characteristic
388	C₄	C₃×#4061	1	1	yes	characteristic
389	C₃	#10599198	1	1	yes	characteristic, direct product factor, Sylow
390	C₂	—	8	2	no	—
391	C₂	—	40	1	no	—
392	C₂	C₃×#65036	1	1	yes	characteristic
393	C₂	C₃×#65065	1	1	yes	characteristic
394	C₂	C₃×#65072	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	#4028
commutator, cosocle	C₄²×C₅	C₂³×C₃
Frattini	C₄²	C₂²×C₃×D₅
Fitting	C₃×C₅×#331	C₂
socle	C₂²×C₃×C₅	#120
prime radical	C₃×#66052	C₂
hypercenter	C₃×#331	D₅
hypocenter	C₅	C₃×#1631
LCS	G ▷ C₄²×C₅ ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×#331

Complements

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

N	H ≅ G/N	type
2. C₃×#65365	C₂	semidirect
3. C₃×#65139	C₂	semidirect
4. C₃×#65131	C₂	semidirect
5. C₃×C₅×#331	C₂	semidirect
6. C₃×#64704	C₂	semidirect
7. C₃×#64703	C₂	semidirect
8. #10599198	C₃	direct (N × H)
28. #65365	C₂×C₃	semidirect
29. #65139	C₂×C₃	semidirect
30. #65131	C₂×C₃	semidirect
31. C₅×#331	C₂×C₃	semidirect
32. #64704	C₂×C₃	semidirect
33. #64703	C₂×C₃	semidirect
63. C₃×#331	D₅	semidirect
107. C₃×Dic₁₀	SD₁₆	semidirect
157. #331	C₃×D₅	semidirect
224. Dic₁₀	C₃×SD₁₆	semidirect
318. C₃×C₅	#1631	semidirect
372. C₅	C₃×#1631	semidirect
389. C₃	#10599198	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃×#66052	2
C₃×#65365	2
C₃×#65139	2
C₃×#65131	2
C₃×C₅×#331	2
C₃×#64704	2
C₃×#64703	2
#10599198	3
C₃×#1631	5

Subgroups — C3×#10599198 #14289428

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10599198 #14289428