Subgroups — C₃×#5633 #10595730

Order 576.

617 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₃×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#947	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#896	C₂	1	2	yes	maximal, complemented
7	C₃×#895	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#893	C₂	1	2	yes	maximal, complemented
9	C₃×#887	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#885	C₂	1	2	yes	maximal, complemented
11	C₃×#884	C₂	1	2	yes	maximal, complemented
12	C₃×#548	—	3	1	no	maximal
13	#5633	C₃	1	1	yes	maximal, characteristic, direct product factor
14	C₂×C₃²×Q₈	C₂²	1	1	yes	characteristic
15	C₂²×C₃²×C₄	C₂²	1	1	yes	characteristic
16	C₂×C₃×#67	C₂²	1	1	yes	characteristic
17	C₂×C₃×#67	C₂²	1	2	yes	—
18	C₃×D₃×Q₈	—	2	4	no	—
19	C₃×#235	—	2	4	no	—
20	C₂×C₃×D₁₂	C₂²	1	2	yes	—
21	C₂×C₃×D₁₂	C₂²	1	1	yes	characteristic
22	C₂×C₃×C₄×D₃	C₂²	1	2	yes	—
23	C₂×C₃×C₄×D₃	C₂²	1	2	yes	—
24	C₂×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
25	C₂×C₃×Dic₆	C₂²	1	2	yes	—
26	C₂×C₃×Dic₆	C₂²	1	1	yes	characteristic
27	C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₃²×C₄⋊C₄	C₂²	1	2	yes	—
29	C₃²×C₂²⋊C₄	C₂²	1	2	yes	—
30	C₃×#217	C₂²	1	1	yes	characteristic
31	C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
32	C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
33	C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
34	C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
35	C₃×Dic₃⋊C₄	C₂²	1	2	yes	—
36	C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
37	C₃×C₄×Dic₃	C₂²	1	2	yes	—
38	C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
39	C₂×C₃×#41	—	3	1	no	—
40	C₂²×C₃×Q₈	—	3	1	no	—
41	C₂×D₃×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
42	C₂×#235	C₂×C₃	1	1	yes	characteristic, complemented
43	C₃×#124	—	3	1	no	—
44	C₃×#124	—	3	2	no	—
45	C₃×C₂²⋊Q₈	—	2	1	no	—
46	C₃×C₂²⋊Q₈	—	3	2	no	—
47	C₃×C₂²⋊Q₈	D₃	1	1	yes	characteristic, complemented
48	C₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
49	C₃×#121	—	3	1	no	—
50	C₃×#121	—	3	2	no	—
51	C₃×C₄×Q₈	—	3	1	no	—
52	C₃×C₄×D₄	—	3	1	no	—
53	C₃×C₄×D₄	—	3	2	no	—
54	#947	C₂×C₃	1	1	yes	characteristic, complemented
55	C₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
56	#896	C₂×C₃	1	2	yes	complemented
57	#895	C₂×C₃	1	1	yes	characteristic, complemented
58	#893	C₂×C₃	1	2	yes	complemented
59	#887	C₂×C₃	1	1	yes	characteristic, complemented
60	#885	C₂×C₃	1	2	yes	complemented
61	#884	C₂×C₃	1	2	yes	complemented
62	C₂³×C₃²	C₂³	1	1	yes	characteristic
63	C₂²×C₃×D₃	C₂³	1	2	yes	—
64	C₂²×C₃×D₃	C₂³	1	1	yes	characteristic
65	C₃²×Q₈	—	2	2	no	—
66	C₂×C₃²×C₄	—	2	2	no	—
67	C₂×C₃²×C₄	C₂³	1	2	yes	—
68	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
69	C₂×C₃²×C₄	C₂³	1	2	yes	—
70	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
71	C₃×#67	—	2	2	no	—
72	C₃×#67	—	2	4	no	—
73	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
74	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
75	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
76	C₂×C₃×Dic₃	C₂³	1	2	yes	—
77	C₃×D₁₂	—	2	4	no	—
78	C₃×D₁₂	—	2	2	no	—
79	C₃×C₄×D₃	—	2	2	no	—
80	C₃×C₄×D₃	—	2	4	no	—
81	C₃×C₄×D₃	—	2	4	no	—
82	C₃×Dic₆	—	2	4	no	—
83	C₃×Dic₆	D₄	1	4	yes	complemented
84	#548	—	3	1	no	Sylow
85	C₃×#41	—	6	4	no	—
86	C₂×C₃×Q₈	—	2	1	no	—
87	C₂×C₃×Q₈	—	3	1	no	—
88	C₂×C₃×Q₈	—	3	2	no	—
89	C₂×C₃×Q₈	—	6	4	no	—
90	C₂×C₃×Q₈	C₂×D₃	1	1	yes	characteristic
91	C₂×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
92	C₂×C₃×D₄	—	3	1	no	—
93	C₂×C₃×D₄	—	3	2	no	—
94	C₂×C₃×D₄	—	3	2	no	—
95	C₂×C₃×D₄	—	3	1	no	—
96	C₂²×C₃×C₄	—	2	1	no	—
97	C₂²×C₃×C₄	—	3	2	no	—
98	C₂²×C₃×C₄	—	3	1	no	—
99	C₂²×C₃×C₄	—	3	2	no	—
100	C₂²×C₃×C₄	C₂×D₃	1	1	yes	characteristic
101	C₂²×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
102	C₂×#67	C₂²×C₃	1	1	yes	characteristic
103	C₂×#67	C₂²×C₃	1	2	yes	—
104	D₃×Q₈	—	2	4	no	—
105	#235	—	2	4	no	—
106	C₂×D₁₂	C₂²×C₃	1	2	yes	—
107	C₂×D₁₂	C₂²×C₃	1	1	yes	characteristic
108	C₂×C₄×D₃	C₂²×C₃	1	2	yes	—
109	C₂×C₄×D₃	C₂²×C₃	1	2	yes	—
110	C₂×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
111	C₂×Dic₆	C₂²×C₃	1	2	yes	—
112	C₂×Dic₆	C₂²×C₃	1	1	yes	characteristic
113	C₃×C₄⋊C₄	—	2	2	no	—
114	C₃×C₄⋊C₄	—	2	1	no	—
115	C₃×C₄⋊C₄	—	3	1	no	—
116	C₃×C₄⋊C₄	—	3	2	no	—
117	C₃×C₄⋊C₄	C₂×D₃	1	2	yes	—
118	C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
119	C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
120	C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
121	C₃×C₂²⋊C₄	—	2	2	no	—
122	C₃×C₂²⋊C₄	—	3	1	no	—
123	C₃×C₂²⋊C₄	—	3	1	no	—
124	C₃×C₂²⋊C₄	—	3	2	no	—
125	C₃×C₂²⋊C₄	—	3	2	no	—
126	C₃×C₂²⋊C₄	—	3	2	no	—
127	C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	—
128	C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
129	C₃×C₄²	—	3	2	no	—
130	C₃×C₄²	—	3	1	no	—
131	#217	C₂²×C₃	1	1	yes	characteristic
132	(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
133	(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
134	(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	—
135	(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
136	Dic₃⋊C₄	C₂²×C₃	1	2	yes	—
137	Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic
138	C₄×Dic₃	C₂²×C₃	1	2	yes	—
139	C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
140	C₂²×C₃²	—	2	1	no	—
141	C₂²×C₃²	—	2	1	no	—
142	C₂²×C₃²	—	2	1	no	—
143	C₂²×C₃²	C₂⁴	1	1	yes	characteristic
144	C₂×C₃×D₃	—	2	1	no	—
145	C₂×C₃×D₃	—	2	1	no	—
146	C₂×C₃×D₃	—	2	2	no	—
147	C₂×C₃×D₃	—	2	2	no	—
148	C₂×C₃×D₃	—	2	2	no	—
149	C₂×C₃×D₃	#41	1	2	yes	complemented
150	C₃²×C₄	—	2	2	no	—
151	C₃²×C₄	—	2	1	no	—
152	C₃²×C₄	—	2	2	no	—
153	C₃²×C₄	C₂×D₄	1	2	yes	—
154	C₃×Dic₃	—	2	1	no	—
155	C₃×Dic₃	—	2	1	no	—
156	C₃×Dic₃	—	2	1	no	—
157	C₃×Dic₃	C₂×D₄	1	4	yes	—
158	C₂×#41	—	3	1	no	—
159	C₂²×Q₈	—	3	1	no	—
160	#124	—	3	1	no	—
161	#124	—	3	2	no	—
162	C₂²⋊Q₈	—	3	2	no	—
163	C₂²⋊Q₈	C₃×D₃	1	1	yes	characteristic, complemented
164	#121	—	3	1	no	—
165	#121	—	3	2	no	—
166	C₄×Q₈	—	3	1	no	—
167	C₄×D₄	—	3	1	no	—
168	C₄×D₄	—	3	2	no	—
169	C₂³×C₃	—	2	1	no	—
170	C₂³×C₃	—	3	1	no	—
171	C₂³×C₃	—	3	2	no	—
172	C₂³×C₃	C₂²×D₃	1	1	yes	characteristic
173	C₂³×C₃	C₂³×C₃	1	1	yes	characteristic
174	C₂²×D₃	C₂³×C₃	1	2	yes	—
175	C₂²×D₃	C₂³×C₃	1	1	yes	characteristic
176	C₃×Q₈	—	2	2	no	—
177	C₃×Q₈	—	2	2	no	—
178	C₃×Q₈	—	3	4	no	—
179	C₃×Q₈	—	4	2	no	—
180	C₃×Q₈	—	6	4	no	—
181	C₃×D₄	—	6	4	no	—
182	C₃×D₄	—	6	4	no	—
183	C₃×D₄	—	6	2	no	—
184	C₃×D₄	—	6	2	no	—
185	C₂×C₃×C₄	—	2	2	no	—
186	C₂×C₃×C₄	—	2	2	no	—
187	C₂×C₃×C₄	—	2	1	no	—
188	C₂×C₃×C₄	—	2	2	no	—
189	C₂×C₃×C₄	—	2	2	no	—
190	C₂×C₃×C₄	—	2	1	no	—
191	C₂×C₃×C₄	—	3	2	no	—
192	C₂×C₃×C₄	—	3	1	no	—
193	C₂×C₃×C₄	—	3	1	no	—
194	C₂×C₃×C₄	—	3	1	no	—
195	C₂×C₃×C₄	—	4	2	no	—
196	C₂×C₃×C₄	—	6	4	no	—
197	C₂×C₃×C₄	—	6	4	no	—
198	C₂×C₃×C₄	—	6	2	no	—
199	C₂×C₃×C₄	C₂²×D₃	1	2	yes	—
200	C₂×C₃×C₄	C₂²×D₃	1	2	yes	—
201	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
202	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
203	C₂×C₃×C₄	C₂³×C₃	1	2	yes	—
204	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
205	C₂×C₃×C₄	C₂³×C₃	1	2	yes	—
206	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
207	#67	—	2	2	no	—
208	#67	—	2	4	no	—
209	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
210	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
211	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
212	C₂×Dic₃	C₂³×C₃	1	2	yes	—
213	D₁₂	—	2	4	no	—
214	D₁₂	—	2	2	no	—
215	C₄×D₃	—	2	2	no	—
216	C₄×D₃	—	2	4	no	—
217	C₄×D₃	—	2	4	no	—
218	Dic₆	—	2	4	no	—
219	Dic₆	C₃×D₄	1	4	yes	complemented
220	C₂×C₃²	—	4	1	no	—
221	C₂×C₃²	C₂²×D₄	1	1	yes	characteristic
222	C₂×C₃²	C₂×#41	1	1	yes	characteristic
223	C₂×C₃²	2₋¹⁺⁴	1	1	yes	characteristic
224	C₃×D₃	—	2	2	no	—
225	C₃×D₃	—	4	2	no	—
226	#41	—	6	4	no	—
227	C₂×Q₈	—	3	1	no	—
228	C₂×Q₈	—	3	2	no	—
229	C₂×Q₈	—	6	4	no	—
230	C₂×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
231	C₂×D₄	—	3	1	no	—
232	C₂×D₄	—	3	2	no	—
233	C₂×D₄	—	3	2	no	—
234	C₂×D₄	—	3	1	no	—
235	C₂²×C₄	—	3	2	no	—
236	C₂²×C₄	—	3	1	no	—
237	C₂²×C₄	—	3	2	no	—
238	C₂²×C₄	C₂×C₃×D₃	1	1	yes	characteristic
239	C₄⋊C₄	—	3	1	no	—
240	C₄⋊C₄	—	3	2	no	—
241	C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
242	C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
243	C₂²⋊C₄	—	3	1	no	—
244	C₂²⋊C₄	—	3	1	no	—
245	C₂²⋊C₄	—	3	2	no	—
246	C₂²⋊C₄	—	3	2	no	—
247	C₂²⋊C₄	—	3	2	no	—
248	C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	—
249	C₄²	—	3	2	no	—
250	C₄²	—	3	1	no	—
251	C₂²×C₃	—	2	2	no	—
252	C₂²×C₃	—	2	1	no	—
253	C₂²×C₃	—	2	1	no	—
254	C₂²×C₃	—	2	1	no	—
255	C₂²×C₃	—	2	1	no	—
256	C₂²×C₃	—	2	1	no	—
257	C₂²×C₃	—	2	1	no	—
258	C₂²×C₃	—	2	1	no	—
259	C₂²×C₃	—	3	2	no	—
260	C₂²×C₃	—	4	1	no	—
261	C₂²×C₃	—	4	1	no	—
262	C₂²×C₃	—	6	1	no	—
263	C₂²×C₃	—	6	1	no	—
264	C₂²×C₃	—	6	2	no	—
265	C₂²×C₃	—	6	2	no	—
266	C₂²×C₃	—	6	2	no	—
267	C₂²×C₃	C₂³×D₃	1	1	yes	characteristic
268	C₂²×C₃	C₂⁴×C₃	1	1	yes	characteristic
269	C₂×D₃	—	2	1	no	—
270	C₂×D₃	—	2	1	no	—
271	C₂×D₃	—	2	2	no	—
272	C₂×D₃	—	2	2	no	—
273	C₂×D₃	—	2	2	no	—
274	C₂×D₃	C₃×#41	1	2	yes	complemented
275	C₃×C₄	—	2	1	no	—
276	C₃×C₄	—	2	2	no	—
277	C₃×C₄	—	2	2	no	—
278	C₃×C₄	—	2	2	no	—
279	C₃×C₄	—	2	1	no	—
280	C₃×C₄	—	2	2	no	—
281	C₃×C₄	—	2	2	no	—
282	C₃×C₄	—	3	4	no	—
283	C₃×C₄	—	4	1	no	—
284	C₃×C₄	—	4	2	no	—
285	C₃×C₄	—	4	2	no	—
286	C₃×C₄	—	6	1	no	—
287	C₃×C₄	—	6	1	no	—
288	C₃×C₄	—	6	1	no	—
289	C₃×C₄	D₃×D₄	1	2	yes	—
290	C₃×C₄	C₂×C₃×D₄	1	2	yes	—
291	Dic₃	—	2	1	no	—
292	Dic₃	—	2	1	no	—
293	Dic₃	—	2	1	no	—
294	Dic₃	C₂×C₃×D₄	1	4	yes	—
295	C₃²	#548	1	1	yes	characteristic, complemented, Sylow
296	C₂³	—	3	1	no	—
297	C₂³	—	3	2	no	—
298	C₂³	C₂²×C₃×D₃	1	1	yes	characteristic
299	Q₈	—	2	2	no	—
300	Q₈	—	3	4	no	—
301	Q₈	—	6	4	no	—
302	D₄	—	6	4	no	—
303	D₄	—	6	4	no	—
304	D₄	—	6	2	no	—
305	D₄	—	6	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	3	2	no	—
308	C₂×C₄	—	3	1	no	—
309	C₂×C₄	—	3	1	no	—
310	C₂×C₄	—	3	1	no	—
311	C₂×C₄	—	6	4	no	—
312	C₂×C₄	—	6	4	no	—
313	C₂×C₄	—	6	2	no	—
314	C₂×C₄	C₂²×C₃×D₃	1	2	yes	—
315	C₂×C₄	C₂²×C₃×D₃	1	2	yes	—
316	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
317	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
318	C₂×C₃	—	2	1	no	—
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	—	4	2	no	—
322	C₂×C₃	—	4	1	no	—
323	C₂×C₃	—	4	1	no	—
324	C₂×C₃	—	6	2	no	—
325	C₂×C₃	—	12	2	no	—
326	C₂×C₃	C₂×D₃×D₄	1	1	yes	characteristic
327	C₂×C₃	#1007	1	1	yes	characteristic
328	C₂×C₃	D₃×#41	1	1	yes	characteristic
329	C₂×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
330	C₂×C₃	C₂×C₃×#41	1	1	yes	characteristic
331	C₂×C₃	C₃×2₋¹⁺⁴	1	1	yes	characteristic
332	D₃	—	2	2	no	—
333	D₃	—	4	2	no	—
334	C₂²	—	2	1	no	—
335	C₂²	—	2	1	no	—
336	C₂²	—	2	1	no	—
337	C₂²	—	3	2	no	—
338	C₂²	—	6	1	no	—
339	C₂²	—	6	1	no	—
340	C₂²	—	6	2	no	—
341	C₂²	—	6	2	no	—
342	C₂²	—	6	2	no	—
343	C₂²	C₂³×C₃×D₃	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	2	no	—
346	C₄	—	2	2	no	—
347	C₄	—	3	4	no	—
348	C₄	—	6	1	no	—
349	C₄	—	6	1	no	—
350	C₄	—	6	1	no	—
351	C₄	C₃×D₃×D₄	1	2	yes	—
352	C₃	—	2	1	no	—
353	C₃	#5633	1	1	yes	characteristic, direct product factor
354	C₃	C₃×#548	1	1	yes	characteristic, complemented
355	C₂	—	4	1	no	—
356	C₂	—	6	2	no	—
357	C₂	—	12	2	no	—
358	C₂	C₂×C₃×D₃×D₄	1	1	yes	characteristic
359	C₂	C₃×#1007	1	1	yes	characteristic
360	C₂	C₃×D₃×#41	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×D₃
Fitting	C₃²×C₂²⋊Q₈	C₂
socle	C₂²×C₃²	C₂⁴
hypercenter	C₃×C₂²⋊Q₈	D₃
hypocenter	C₃	C₃×#548
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₃×Q₈	C₂	semidirect
2. C₂×C₃×#235	C₂	semidirect
3. C₃²×C₂²⋊Q₈	C₂	semidirect
4. C₃×#947	C₂	semidirect
5. C₃×C₄×#67	C₂	semidirect
6. C₃×#896	C₂	semidirect
7. C₃×#895	C₂	semidirect
8. C₃×#893	C₂	semidirect
9. C₃×#887	C₂	semidirect
10. C₃×#885	C₂	semidirect
11. C₃×#884	C₂	semidirect
13. #5633	C₃	direct (N × H)
41. C₂×D₃×Q₈	C₂×C₃	semidirect
42. C₂×#235	C₂×C₃	semidirect
47. C₃×C₂²⋊Q₈	D₃	semidirect
48. C₃×C₂²⋊Q₈	C₂×C₃	semidirect
54. #947	C₂×C₃	semidirect
55. C₄×#67	C₂×C₃	semidirect
56. #896	C₂×C₃	semidirect
57. #895	C₂×C₃	semidirect
58. #893	C₂×C₃	semidirect
59. #887	C₂×C₃	semidirect
60. #885	C₂×C₃	semidirect
61. #884	C₂×C₃	semidirect
83. C₃×Dic₆	D₄	semidirect
149. C₂×C₃×D₃	#41	semidirect
163. C₂²⋊Q₈	C₃×D₃	semidirect
219. Dic₆	C₃×D₄	semidirect
274. C₂×D₃	C₃×#41	semidirect
295. C₃²	#548	semidirect
353. C₃	#5633	direct (N × H)
354. C₃	C₃×#548	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₃×Q₈	2
C₂×C₃×#235	2
C₃²×C₂²⋊Q₈	2
C₃×#947	2
C₃×C₄×#67	2
C₃×#896	2
C₃×#895	2
C₃×#893	2
C₃×#887	2
C₃×#885	2
C₃×#884	2
C₃×#548	3
#5633	3

Subgroups — C3×#5633 #10595730

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#5633 #10595730