Subgroups — C₃×#35319 #10653926

Order 768.

2026 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#541	C₂	1	2	yes	maximal
2	C₃×#2868	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2859	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#2857	C₂	1	2	yes	maximal
5	C₃×#2642	C₂	1	2	yes	maximal, complemented
6	C₃×#2621	C₂	1	2	yes	maximal
7	C₃×#2506	C₂	1	8	yes	maximal, complemented
8	C₃×#2496	C₂	1	8	yes	maximal
9	C₃×#2327	C₂	1	2	yes	maximal, complemented
10	C₃×C₄×C₄⋊Q₈	C₂	1	2	yes	maximal, complemented
11	C₃×C₄×#117	C₂	1	1	yes	maximal, characteristic
12	#35319	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
13	C₃×#541	—	2	16	no	—
14	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	—
16	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	—
17	C₂×C₃×#126	C₂²	1	8	yes	—
18	C₂×C₃×#125	C₂²	1	2	yes	—
19	C₂×C₃×#125	C₂²	1	8	yes	—
20	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
21	C₂×C₃×C₄×Q₈	C₂²	1	4	yes	—
22	C₂×C₃×#117	C₂²	1	1	yes	characteristic
23	C₂×C₃×#117	C₂²	1	1	yes	characteristic
24	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
25	C₃×#400	C₂²	1	16	yes	—
26	C₃×#398	C₂²	1	8	yes	—
27	C₃×#397	C₂²	1	8	yes	—
28	C₃×#391	C₂²	1	4	yes	—
29	C₃×#391	C₂²	1	4	yes	—
30	C₃×#389	C₂²	1	8	yes	—
31	C₃×#389	C₂²	1	8	yes	—
32	C₃×#389	C₂²	1	8	yes	—
33	C₃×#387	C₂²	1	16	yes	—
34	C₃×#384	C₂²	1	8	yes	—
35	C₃×#384	C₂²	1	2	yes	—
36	C₃×#382	C₂²	1	2	yes	—
37	C₃×#380	C₂²	1	8	yes	—
38	C₃×C₄×C₄⋊C₄	C₂²	1	8	yes	—
39	C₃×C₄×C₄⋊C₄	C₂²	1	4	yes	—
40	C₃×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
41	C₃×#376	C₂²	1	1	yes	characteristic
42	C₃×#376	C₂²	1	1	yes	characteristic
43	C₃×C₄³	C₂²	1	1	yes	characteristic
44	C₃×C₄³	C₂²	1	1	yes	characteristic
45	C₂×#541	C₂×C₃	1	2	yes	—
46	#2868	C₂×C₃	1	1	yes	characteristic, complemented
47	#2859	C₂×C₃	1	1	yes	characteristic, complemented
48	#2857	C₂×C₃	1	2	yes	—
49	#2642	C₂×C₃	1	2	yes	complemented
50	#2621	C₂×C₃	1	2	yes	—
51	#2506	C₂×C₃	1	8	yes	complemented
52	#2496	C₂×C₃	1	8	yes	—
53	#2327	C₂×C₃	1	2	yes	complemented
54	C₄×C₄⋊Q₈	C₂×C₃	1	2	yes	complemented
55	C₄×#117	C₂×C₃	1	1	yes	characteristic
56	C₂²×C₃×Q₈	C₂³	1	4	yes	—
57	C₂³×C₃×C₄	C₂³	1	2	yes	—
58	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
59	C₃×C₄⋊Q₈	—	2	8	no	—
60	C₃×C₄⋊Q₈	—	2	8	no	—
61	C₃×C₄⋊Q₈	—	2	8	no	—
62	C₃×#126	—	2	32	no	—
63	C₃×#125	—	2	32	no	—
64	C₃×#125	—	2	8	no	—
65	C₃×C₂²⋊Q₈	—	2	16	no	—
66	C₃×C₄×Q₈	—	2	16	no	—
67	C₃×#117	—	2	4	no	—
68	C₃×#117	D₄	1	8	yes	—
69	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
70	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
71	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
72	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
73	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
74	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
75	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
76	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
77	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
78	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
79	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
80	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
81	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
82	C₂×C₃×C₄²	—	2	4	no	—
83	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
84	C₂×C₃×C₄²	C₂³	1	4	yes	—
85	C₂×C₃×C₄²	C₂³	1	4	yes	—
86	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
87	C₂×C₃×C₄²	C₂³	1	8	yes	—
88	C₂×C₃×C₄²	C₂³	1	2	yes	—
89	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
90	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
91	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
92	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
93	C₃×#95	C₂³	1	4	yes	—
94	C₃×#95	C₂³	1	4	yes	—
95	C₃×#95	C₂³	1	16	yes	—
96	C₃×#95	C₂³	1	16	yes	—
97	C₃×#95	C₂³	1	8	yes	—
98	#541	—	2	16	no	—
99	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
100	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
101	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
102	C₂×#126	C₂²×C₃	1	8	yes	—
103	C₂×#125	C₂²×C₃	1	2	yes	—
104	C₂×#125	C₂²×C₃	1	8	yes	—
105	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
106	C₂×C₄×Q₈	C₂²×C₃	1	4	yes	—
107	C₂×#117	C₂²×C₃	1	1	yes	characteristic
108	C₂×#117	C₂²×C₃	1	1	yes	characteristic
109	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
110	#400	C₂²×C₃	1	16	yes	—
111	#398	C₂²×C₃	1	8	yes	—
112	#397	C₂²×C₃	1	8	yes	—
113	#391	C₂²×C₃	1	4	yes	—
114	#391	C₂²×C₃	1	4	yes	—
115	#389	C₂²×C₃	1	8	yes	—
116	#389	C₂²×C₃	1	8	yes	—
117	#389	C₂²×C₃	1	8	yes	—
118	#387	C₂²×C₃	1	16	yes	—
119	#384	C₂²×C₃	1	2	yes	—
120	#384	C₂²×C₃	1	8	yes	—
121	#382	C₂²×C₃	1	2	yes	—
122	#380	C₂²×C₃	1	8	yes	—
123	C₄×C₄⋊C₄	C₂²×C₃	1	8	yes	—
124	C₄×C₄⋊C₄	C₂²×C₃	1	4	yes	—
125	C₄×C₂²⋊C₄	C₂²×C₃	1	4	yes	—
126	#376	C₂²×C₃	1	1	yes	characteristic
127	#376	C₂²×C₃	1	1	yes	characteristic
128	C₄³	C₂²×C₃	1	1	yes	characteristic
129	C₄³	C₂²×C₃	1	1	yes	characteristic
130	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
131	C₂×C₃×Q₈	—	2	8	no	—
132	C₂×C₃×Q₈	—	2	8	no	—
133	C₂×C₃×Q₈	—	2	8	no	—
134	C₂²×C₃×C₄	—	2	2	no	—
135	C₂²×C₃×C₄	—	2	2	no	—
136	C₂²×C₃×C₄	—	2	4	no	—
137	C₂²×C₃×C₄	—	2	8	no	—
138	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
139	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
140	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
141	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
142	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
143	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
144	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
145	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
146	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
147	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
148	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
149	C₃×C₄⋊C₄	—	2	8	no	—
150	C₃×C₄⋊C₄	—	2	16	no	—
151	C₃×C₄⋊C₄	—	2	16	no	—
152	C₃×C₄⋊C₄	—	2	16	no	—
153	C₃×C₄⋊C₄	—	2	16	no	—
154	C₃×C₄⋊C₄	—	2	4	no	—
155	C₃×C₄⋊C₄	—	2	16	no	—
156	C₃×C₄⋊C₄	—	2	16	no	—
157	C₃×C₄⋊C₄	—	2	16	no	—
158	C₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
159	C₃×C₂²⋊C₄	—	2	16	no	—
160	C₃×C₂²⋊C₄	—	2	4	no	—
161	C₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
162	C₃×C₄²	—	2	16	no	—
163	C₃×C₄²	—	2	4	no	—
164	C₃×C₄²	—	2	2	no	—
165	C₃×C₄²	—	2	2	no	—
166	C₃×C₄²	—	2	8	no	—
167	C₃×C₄²	—	2	8	no	—
168	C₃×C₄²	C₂×D₄	1	4	yes	—
169	C₃×C₄²	C₂×D₄	1	4	yes	—
170	C₃×C₄²	#41	1	4	yes	—
171	C₃×C₄²	#41	1	4	yes	—
172	C₂²×Q₈	C₂³×C₃	1	4	yes	—
173	C₂³×C₄	C₂³×C₃	1	2	yes	—
174	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
175	C₄⋊Q₈	—	2	8	no	—
176	C₄⋊Q₈	—	2	8	no	—
177	C₄⋊Q₈	—	2	8	no	—
178	#126	—	2	32	no	—
179	#125	—	2	32	no	—
180	#125	—	2	8	no	—
181	C₂²⋊Q₈	—	2	16	no	—
182	C₄×Q₈	—	2	16	no	—
183	#117	—	2	4	no	—
184	#117	C₃×D₄	1	8	yes	—
185	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
186	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
187	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
188	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
189	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
190	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
191	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
192	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
193	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
194	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
195	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
196	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
197	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
198	C₂×C₄²	—	2	4	no	—
199	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
200	C₂×C₄²	C₂³×C₃	1	8	yes	—
201	C₂×C₄²	C₂³×C₃	1	4	yes	—
202	C₂×C₄²	C₂³×C₃	1	4	yes	—
203	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
204	C₂×C₄²	C₂³×C₃	1	2	yes	—
205	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
206	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
207	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
208	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
209	#95	C₂³×C₃	1	4	yes	—
210	#95	C₂³×C₃	1	4	yes	—
211	#95	C₂³×C₃	1	16	yes	—
212	#95	C₂³×C₃	1	16	yes	—
213	#95	C₂³×C₃	1	8	yes	—
214	C₂³×C₃	—	2	1	no	—
215	C₂³×C₃	—	2	1	no	—
216	C₂³×C₃	—	2	4	no	—
217	C₂³×C₃	C₂²×D₄	1	2	yes	—
218	C₂³×C₃	C₂⁵	1	1	yes	characteristic
219	C₃×Q₈	—	4	16	no	—
220	C₂×C₃×C₄	—	2	1	no	—
221	C₂×C₃×C₄	—	2	1	no	—
222	C₂×C₃×C₄	—	2	4	no	—
223	C₂×C₃×C₄	—	2	4	no	—
224	C₂×C₃×C₄	—	2	4	no	—
225	C₂×C₃×C₄	—	2	8	no	—
226	C₂×C₃×C₄	—	2	8	no	—
227	C₂×C₃×C₄	—	2	8	no	—
228	C₂×C₃×C₄	—	2	2	no	—
229	C₂×C₃×C₄	—	2	2	no	—
230	C₂×C₃×C₄	—	2	8	no	—
231	C₂×C₃×C₄	—	2	8	no	—
232	C₂×C₃×C₄	—	2	4	no	—
233	C₂×C₃×C₄	—	2	16	no	—
234	C₂×C₃×C₄	—	2	4	no	—
235	C₂×C₃×C₄	—	4	8	no	—
236	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
237	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
238	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
239	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
240	C₂×C₃×C₄	C₂×#41	1	4	yes	—
241	C₂×C₃×C₄	C₂×#41	1	2	yes	—
242	C₂×C₃×C₄	C₂×#41	1	2	yes	—
243	C₂×C₃×C₄	C₂×#41	1	4	yes	—
244	C₂×C₃×C₄	2₋¹⁺⁴	1	8	yes	—
245	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
246	C₂×Q₈	—	2	8	no	—
247	C₂×Q₈	—	2	8	no	—
248	C₂×Q₈	—	2	8	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	4	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
254	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
255	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
256	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
257	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
258	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
259	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
260	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
261	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
263	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
264	C₄⋊C₄	—	2	8	no	—
265	C₄⋊C₄	—	2	16	no	—
266	C₄⋊C₄	—	2	16	no	—
267	C₄⋊C₄	—	2	16	no	—
268	C₄⋊C₄	—	2	16	no	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	—	2	16	no	—
271	C₄⋊C₄	—	2	16	no	—
272	C₄⋊C₄	—	2	16	no	—
273	C₄⋊C₄	C₂×C₃×D₄	1	8	yes	—
274	C₂²⋊C₄	—	2	16	no	—
275	C₂²⋊C₄	—	2	4	no	—
276	C₂²⋊C₄	C₂×C₃×D₄	1	8	yes	—
277	C₄²	—	2	16	no	—
278	C₄²	—	2	4	no	—
279	C₄²	—	2	2	no	—
280	C₄²	—	2	2	no	—
281	C₄²	—	2	8	no	—
282	C₄²	—	2	8	no	—
283	C₄²	C₂×C₃×D₄	1	4	yes	—
284	C₄²	C₂×C₃×D₄	1	4	yes	—
285	C₄²	C₃×#41	1	4	yes	—
286	C₄²	C₃×#41	1	4	yes	—
287	C₂²×C₃	—	2	2	no	—
288	C₂²×C₃	—	2	4	no	—
289	C₂²×C₃	—	4	2	no	—
290	C₂²×C₃	—	4	2	no	—
291	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
292	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
293	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
294	C₂²×C₃	C₂×2₋¹⁺⁴	1	4	yes	—
295	C₃×C₄	—	2	2	no	—
296	C₃×C₄	—	2	4	no	—
297	C₃×C₄	—	2	4	no	—
298	C₃×C₄	—	2	4	no	—
299	C₃×C₄	—	4	8	no	—
300	C₃×C₄	—	4	2	no	—
301	C₃×C₄	—	4	8	no	—
302	C₃×C₄	—	4	2	no	—
303	C₃×C₄	#532	1	4	yes	—
304	C₃×C₄	#541	1	8	yes	complemented
305	C₂³	—	2	1	no	—
306	C₂³	—	2	1	no	—
307	C₂³	—	2	4	no	—
308	C₂³	C₂²×C₃×D₄	1	2	yes	—
309	C₂³	C₂⁵×C₃	1	1	yes	characteristic
310	Q₈	—	4	16	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	2	8	no	—
317	C₂×C₄	—	2	8	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	8	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	16	no	—
325	C₂×C₄	—	2	4	no	—
326	C₂×C₄	—	4	8	no	—
327	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
328	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
329	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
330	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
331	C₂×C₄	C₂×C₃×#41	1	4	yes	—
332	C₂×C₄	C₂×C₃×#41	1	2	yes	—
333	C₂×C₄	C₂×C₃×#41	1	2	yes	—
334	C₂×C₄	C₂×C₃×#41	1	4	yes	—
335	C₂×C₄	C₃×2₋¹⁺⁴	1	8	yes	—
336	C₂×C₃	—	4	2	no	—
337	C₂×C₃	C₂×#532	1	1	yes	characteristic
338	C₂×C₃	C₂×#541	1	2	yes	—
339	C₂×C₃	#3499	1	2	yes	—
340	C₂×C₃	#3509	1	2	yes	—
341	C₂²	—	2	2	no	—
342	C₂²	—	2	4	no	—
343	C₂²	—	4	2	no	—
344	C₂²	—	4	2	no	—
345	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
346	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
347	C₂²	C₂²×C₃×#41	1	1	yes	characteristic
348	C₂²	C₂×C₃×2₋¹⁺⁴	1	4	yes	—
349	C₄	—	2	2	no	—
350	C₄	—	2	4	no	—
351	C₄	—	2	4	no	—
352	C₄	—	2	4	no	—
353	C₄	—	4	8	no	—
354	C₄	—	4	2	no	—
355	C₄	—	4	8	no	—
356	C₄	—	4	2	no	—
357	C₄	C₃×#532	1	4	yes	—
358	C₄	C₃×#541	1	8	yes	complemented
359	C₃	#35319	1	1	yes	characteristic, direct product factor, Sylow
360	C₂	—	4	2	no	—
361	C₂	C₂×C₃×#532	1	1	yes	characteristic
362	C₂	C₂×C₃×#541	1	2	yes	—
363	C₂	C₃×#3499	1	2	yes	—
364	C₂	C₃×#3509	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂⁴×C₃	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×#2868	C₂	semidirect
3. C₃×#2859	C₂	semidirect
5. C₃×#2642	C₂	semidirect
7. C₃×#2506	C₂	semidirect
9. C₃×#2327	C₂	semidirect
10. C₃×C₄×C₄⋊Q₈	C₂	semidirect
12. #35319	C₃	direct (N × H)
46. #2868	C₂×C₃	semidirect
47. #2859	C₂×C₃	semidirect
49. #2642	C₂×C₃	semidirect
51. #2506	C₂×C₃	semidirect
53. #2327	C₂×C₃	semidirect
54. C₄×C₄⋊Q₈	C₂×C₃	semidirect
304. C₃×C₄	#541	semidirect
358. C₄	C₃×#541	semidirect
359. C₃	#35319	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#541	2
C₃×#2868	2
C₃×#2859	2
C₃×#2857	2
C₃×#2642	2
C₃×#2621	2
C₃×#2506	2
C₃×#2496	2
C₃×#2327	2
C₃×C₄×C₄⋊Q₈	2
C₃×C₄×#117	2
#35319	3

Subgroups — C3×#35319 #10653926

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35319 #10653926