Subgroups — #3244×C₂₃₃ #44449276

Order 29824.

320 conjugacy classes of subgroups.

The subgroup lattice has 320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#544×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#542×C₂₃₃	C₂	1	1	yes	maximal, characteristic
3	#501×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#498×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#489×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#488×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
7	#485×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
8	#483×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
9	#482×C₂₃₃	C₂	1	1	yes	maximal, characteristic
10	#481×C₂₃₃	C₂	1	1	yes	maximal, characteristic
11	#479×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
12	#478×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#476×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#475×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#433×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄⋊Q₈×C₂₃₃	—	2	1	no	—
17	C₄⋊Q₈×C₂₃₃	C₂²	1	1	yes	characteristic
18	C₄⋊Q₈×C₂₃₃	C₂²	1	1	yes	characteristic
19	C₄⋊Q₈×C₂₃₃	C₂²	1	1	yes	characteristic
20	#126×C₂₃₃	—	2	1	no	—
21	#125×C₂₃₃	—	2	1	no	—
22	#125×C₂₃₃	C₂²	1	1	yes	characteristic
23	#125×C₂₃₃	C₂²	1	1	yes	characteristic
24	#124×C₂₃₃	—	2	1	no	—
25	#124×C₂₃₃	C₂²	1	1	yes	characteristic
26	#123×C₂₃₃	—	2	1	no	—
27	C₂²⋊Q₈×C₂₃₃	—	2	1	no	—
28	C₂²⋊Q₈×C₂₃₃	—	2	1	no	—
29	C₂²⋊Q₈×C₂₃₃	—	2	1	no	—
30	C₂²⋊Q₈×C₂₃₃	C₂²	1	1	yes	characteristic
31	#121×C₂₃₃	C₂²	1	1	yes	characteristic
32	C₄×Q₈×C₂₃₃	C₂²	1	1	yes	characteristic
33	C₄×D₄×C₂₃₃	C₂²	1	1	yes	characteristic
34	#117×C₂₃₃	C₂²	1	1	yes	characteristic
35	#117×C₂₃₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×C₂₃₃	C₂²	1	1	yes	characteristic
37	#107×C₂₃₃	C₂²	1	1	yes	characteristic
38	#107×C₂₃₃	C₂²	1	1	yes	characteristic
39	#106×C₂₃₃	C₂²	1	1	yes	characteristic
40	#106×C₂₃₃	C₂²	1	1	yes	characteristic
41	#106×C₂₃₃	C₂²	1	1	yes	characteristic
42	#106×C₂₃₃	C₂²	1	1	yes	characteristic
43	#106×C₂₃₃	C₂²	1	1	yes	characteristic
44	#106×C₂₃₃	C₂²	1	1	yes	characteristic
45	C₄⋊C₈×C₂₃₃	C₂²	1	1	yes	characteristic
46	C₄⋊C₈×C₂₃₃	C₂²	1	1	yes	characteristic
47	#103×C₂₃₃	C₂²	1	1	yes	characteristic
48	#103×C₂₃₃	C₂²	1	1	yes	characteristic
49	#103×C₂₃₃	C₂²	1	1	yes	characteristic
50	#103×C₂₃₃	C₂²	1	1	yes	characteristic
51	#102×C₂₃₃	C₂²	1	1	yes	characteristic
52	#102×C₂₃₃	C₂²	1	1	yes	characteristic
53	#102×C₂₃₃	C₂²	1	1	yes	characteristic
54	#102×C₂₃₃	C₂²	1	1	yes	characteristic
55	C₂²⋊C₈×C₂₃₃	C₂²	1	1	yes	characteristic
56	C₂²⋊C₈×C₂₃₃	C₂²	1	1	yes	characteristic
57	#97×C₂₃₃	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₂₃₃	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₂₃₃	—	2	1	no	—
60	C₂×Q₈×C₂₃₃	—	2	1	no	—
61	C₂×Q₈×C₂₃₃	—	2	1	no	—
62	C₂×Q₈×C₂₃₃	C₂³	1	1	yes	characteristic
63	C₂×D₄×C₂₃₃	—	2	1	no	—
64	C₂×D₄×C₂₃₃	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₂₃₃	—	2	1	no	—
66	C₂²×C₄×C₂₃₃	—	2	1	no	—
67	C₂²×C₄×C₂₃₃	C₂³	1	1	yes	characteristic
68	C₂×C₈×C₂₃₃	C₂³	1	1	yes	characteristic
69	C₂×C₈×C₂₃₃	C₂³	1	1	yes	characteristic
70	C₂×C₈×C₂₃₃	C₂³	1	1	yes	characteristic
71	C₂×C₈×C₂₃₃	C₂³	1	1	yes	characteristic
72	C₄⋊C₄×C₂₃₃	—	2	1	no	—
73	C₄⋊C₄×C₂₃₃	—	2	1	no	—
74	C₄⋊C₄×C₂₃₃	—	2	1	no	—
75	C₄⋊C₄×C₂₃₃	—	2	1	no	—
76	C₄⋊C₄×C₂₃₃	—	2	1	no	—
77	C₄⋊C₄×C₂₃₃	—	2	1	no	—
78	C₄⋊C₄×C₂₃₃	—	2	1	no	—
79	C₄⋊C₄×C₂₃₃	—	2	1	no	—
80	C₄⋊C₄×C₂₃₃	—	2	1	no	—
81	C₄⋊C₄×C₂₃₃	—	2	1	no	—
82	C₄⋊C₄×C₂₃₃	D₄	1	1	yes	characteristic
83	C₄⋊C₄×C₂₃₃	D₄	1	1	yes	characteristic
84	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
85	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
86	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
89	C₄⋊C₄×C₂₃₃	C₂³	1	1	yes	characteristic
90	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
91	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
92	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
93	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
94	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
95	C₂²⋊C₄×C₂₃₃	—	2	1	no	—
96	C₂²⋊C₄×C₂₃₃	D₄	1	1	yes	characteristic
97	C₂²⋊C₄×C₂₃₃	D₄	1	1	yes	characteristic
98	C₄²×C₂₃₃	—	2	1	no	—
99	C₄²×C₂₃₃	—	2	1	no	—
100	C₄²×C₂₃₃	C₂³	1	1	yes	characteristic
101	C₄²×C₂₃₃	C₂³	1	1	yes	characteristic
102	C₂³×C₂₃₃	—	2	1	no	—
103	C₂³×C₂₃₃	C₂×D₄	1	1	yes	characteristic
104	Q₈×C₂₃₃	—	2	1	no	—
105	Q₈×C₂₃₃	—	2	1	no	—
106	Q₈×C₂₃₃	—	8	1	no	—
107	Q₈×C₂₃₃	—	8	1	no	—
108	Q₈×C₂₃₃	—	8	1	no	—
109	D₄×C₂₃₃	—	2	1	no	—
110	D₄×C₂₃₃	—	2	1	no	—
111	D₄×C₂₃₃	—	8	1	no	—
112	C₂×C₄×C₂₃₃	—	2	1	no	—
113	C₂×C₄×C₂₃₃	—	2	1	no	—
114	C₂×C₄×C₂₃₃	—	2	1	no	—
115	C₂×C₄×C₂₃₃	—	2	1	no	—
116	C₂×C₄×C₂₃₃	—	2	1	no	—
117	C₂×C₄×C₂₃₃	—	2	1	no	—
118	C₂×C₄×C₂₃₃	—	2	1	no	—
119	C₂×C₄×C₂₃₃	—	2	1	no	—
120	C₂×C₄×C₂₃₃	—	2	1	no	—
121	C₂×C₄×C₂₃₃	—	8	1	no	—
122	C₂×C₄×C₂₃₃	—	8	1	no	—
123	C₂×C₄×C₂₃₃	C₂×D₄	1	1	yes	characteristic
124	C₂×C₄×C₂₃₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₄×C₂₃₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₄×C₂₃₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₄×C₂₃₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₄×C₂₃₃	C₂⁴	1	1	yes	characteristic
129	C₈×C₂₃₃	—	2	1	no	—
130	C₈×C₂₃₃	—	2	1	no	—
131	C₈×C₂₃₃	—	2	1	no	—
132	C₈×C₂₃₃	—	2	1	no	—
133	C₂²×C₂₃₃	—	2	1	no	—
134	C₂²×C₂₃₃	—	2	1	no	—
135	C₂²×C₂₃₃	—	2	1	no	—
136	C₂²×C₂₃₃	—	4	1	no	—
137	C₂²×C₂₃₃	—	4	1	no	—
138	C₂²×C₂₃₃	—	4	1	no	—
139	C₂²×C₂₃₃	C₂²×D₄	1	1	yes	characteristic
140	C₄×C₂₃₃	—	2	1	no	—
141	C₄×C₂₃₃	—	2	1	no	—
142	C₄×C₂₃₃	—	2	1	no	—
143	C₄×C₂₃₃	—	2	1	no	—
144	C₄×C₂₃₃	—	2	1	no	—
145	C₄×C₂₃₃	—	4	1	no	—
146	C₄×C₂₃₃	—	4	1	no	—
147	C₄×C₂₃₃	—	4	1	no	—
148	C₄×C₂₃₃	—	4	1	no	—
149	C₄×C₂₃₃	—	4	1	no	—
150	C₄×C₂₃₃	—	4	1	no	—
151	C₄×C₂₃₃	—	4	1	no	—
152	C₄×C₂₃₃	2₋¹⁺⁴	1	1	yes	characteristic
153	C₄×C₂₃₃	2₋¹⁺⁴	1	1	yes	characteristic
154	C₂×C₂₃₃	—	4	1	no	—
155	C₂×C₂₃₃	—	8	1	no	—
156	C₂×C₂₃₃	#536	1	1	yes	characteristic
157	C₂×C₂₃₃	#577	1	1	yes	characteristic
158	C₂×C₂₃₃	#577	1	1	yes	characteristic
159	C₂₃₃	#3244	1	1	yes	characteristic, direct product factor, Sylow
160	#3244	C₂₃₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
161	#544	C₂×C₂₃₃	1	1	yes	characteristic, complemented
162	#542	C₂×C₂₃₃	1	1	yes	characteristic
163	#501	C₂×C₂₃₃	1	1	yes	characteristic, complemented
164	#498	C₂×C₂₃₃	1	1	yes	characteristic, complemented
165	#489	C₂×C₂₃₃	1	1	yes	characteristic, complemented
166	#488	C₂×C₂₃₃	1	1	yes	characteristic, complemented
167	#485	C₂×C₂₃₃	1	1	yes	characteristic, complemented
168	#483	C₂×C₂₃₃	1	1	yes	characteristic, complemented
169	#482	C₂×C₂₃₃	1	1	yes	characteristic
170	#481	C₂×C₂₃₃	1	1	yes	characteristic
171	#479	C₂×C₂₃₃	1	1	yes	characteristic, complemented
172	#478	C₂×C₂₃₃	1	1	yes	characteristic, complemented
173	#476	C₂×C₂₃₃	1	1	yes	characteristic, complemented
174	#475	C₂×C₂₃₃	1	1	yes	characteristic, complemented
175	#433	C₂×C₂₃₃	1	1	yes	characteristic, complemented
176	C₄⋊Q₈	—	2	1	no	—
177	C₄⋊Q₈	C₂²×C₂₃₃	1	1	yes	characteristic
178	C₄⋊Q₈	C₂²×C₂₃₃	1	1	yes	characteristic
179	C₄⋊Q₈	C₂²×C₂₃₃	1	1	yes	characteristic
180	#126	—	2	1	no	—
181	#125	—	2	1	no	—
182	#125	C₂²×C₂₃₃	1	1	yes	characteristic
183	#125	C₂²×C₂₃₃	1	1	yes	characteristic
184	#124	—	2	1	no	—
185	#124	C₂²×C₂₃₃	1	1	yes	characteristic
186	#123	—	2	1	no	—
187	C₂²⋊Q₈	—	2	1	no	—
188	C₂²⋊Q₈	—	2	1	no	—
189	C₂²⋊Q₈	—	2	1	no	—
190	C₂²⋊Q₈	C₂²×C₂₃₃	1	1	yes	characteristic
191	#121	C₂²×C₂₃₃	1	1	yes	characteristic
192	C₄×Q₈	C₂²×C₂₃₃	1	1	yes	characteristic
193	C₄×D₄	C₂²×C₂₃₃	1	1	yes	characteristic
194	#117	C₂²×C₂₃₃	1	1	yes	characteristic
195	#117	C₂²×C₂₃₃	1	1	yes	characteristic
196	C₂×C₄⋊C₄	C₂²×C₂₃₃	1	1	yes	characteristic
197	#107	C₂²×C₂₃₃	1	1	yes	characteristic
198	#107	C₂²×C₂₃₃	1	1	yes	characteristic
199	#106	C₂²×C₂₃₃	1	1	yes	characteristic
200	#106	C₂²×C₂₃₃	1	1	yes	characteristic
201	#106	C₂²×C₂₃₃	1	1	yes	characteristic
202	#106	C₂²×C₂₃₃	1	1	yes	characteristic
203	#106	C₂²×C₂₃₃	1	1	yes	characteristic
204	#106	C₂²×C₂₃₃	1	1	yes	characteristic
205	C₄⋊C₈	C₂²×C₂₃₃	1	1	yes	characteristic
206	C₄⋊C₈	C₂²×C₂₃₃	1	1	yes	characteristic
207	#103	C₂²×C₂₃₃	1	1	yes	characteristic
208	#103	C₂²×C₂₃₃	1	1	yes	characteristic
209	#103	C₂²×C₂₃₃	1	1	yes	characteristic
210	#103	C₂²×C₂₃₃	1	1	yes	characteristic
211	#102	C₂²×C₂₃₃	1	1	yes	characteristic
212	#102	C₂²×C₂₃₃	1	1	yes	characteristic
213	#102	C₂²×C₂₃₃	1	1	yes	characteristic
214	#102	C₂²×C₂₃₃	1	1	yes	characteristic
215	C₂²⋊C₈	C₂²×C₂₃₃	1	1	yes	characteristic
216	C₂²⋊C₈	C₂²×C₂₃₃	1	1	yes	characteristic
217	#97	C₂²×C₂₃₃	1	1	yes	characteristic
218	C₄×C₈	C₂²×C₂₃₃	1	1	yes	characteristic
219	C₂×Q₈	—	2	1	no	—
220	C₂×Q₈	—	2	1	no	—
221	C₂×Q₈	—	2	1	no	—
222	C₂×Q₈	C₂³×C₂₃₃	1	1	yes	characteristic
223	C₂×D₄	—	2	1	no	—
224	C₂×D₄	C₂³×C₂₃₃	1	1	yes	characteristic
225	C₂²×C₄	—	2	1	no	—
226	C₂²×C₄	—	2	1	no	—
227	C₂²×C₄	C₂³×C₂₃₃	1	1	yes	characteristic
228	C₂×C₈	C₂³×C₂₃₃	1	1	yes	characteristic
229	C₂×C₈	C₂³×C₂₃₃	1	1	yes	characteristic
230	C₂×C₈	C₂³×C₂₃₃	1	1	yes	characteristic
231	C₂×C₈	C₂³×C₂₃₃	1	1	yes	characteristic
232	C₄⋊C₄	—	2	1	no	—
233	C₄⋊C₄	—	2	1	no	—
234	C₄⋊C₄	—	2	1	no	—
235	C₄⋊C₄	—	2	1	no	—
236	C₄⋊C₄	—	2	1	no	—
237	C₄⋊C₄	—	2	1	no	—
238	C₄⋊C₄	—	2	1	no	—
239	C₄⋊C₄	—	2	1	no	—
240	C₄⋊C₄	—	2	1	no	—
241	C₄⋊C₄	—	2	1	no	—
242	C₄⋊C₄	D₄×C₂₃₃	1	1	yes	characteristic
243	C₄⋊C₄	D₄×C₂₃₃	1	1	yes	characteristic
244	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
245	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
246	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
247	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
248	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
249	C₄⋊C₄	C₂³×C₂₃₃	1	1	yes	characteristic
250	C₂²⋊C₄	—	2	1	no	—
251	C₂²⋊C₄	—	2	1	no	—
252	C₂²⋊C₄	—	2	1	no	—
253	C₂²⋊C₄	—	2	1	no	—
254	C₂²⋊C₄	—	2	1	no	—
255	C₂²⋊C₄	—	2	1	no	—
256	C₂²⋊C₄	D₄×C₂₃₃	1	1	yes	characteristic
257	C₂²⋊C₄	D₄×C₂₃₃	1	1	yes	characteristic
258	C₄²	—	2	1	no	—
259	C₄²	—	2	1	no	—
260	C₄²	C₂³×C₂₃₃	1	1	yes	characteristic
261	C₄²	C₂³×C₂₃₃	1	1	yes	characteristic
262	C₂³	—	2	1	no	—
263	C₂³	C₂×D₄×C₂₃₃	1	1	yes	characteristic
264	Q₈	—	2	1	no	—
265	Q₈	—	2	1	no	—
266	Q₈	—	8	1	no	—
267	Q₈	—	8	1	no	—
268	Q₈	—	8	1	no	—
269	D₄	—	2	1	no	—
270	D₄	—	2	1	no	—
271	D₄	—	8	1	no	—
272	C₂×C₄	—	2	1	no	—
273	C₂×C₄	—	2	1	no	—
274	C₂×C₄	—	2	1	no	—
275	C₂×C₄	—	2	1	no	—
276	C₂×C₄	—	2	1	no	—
277	C₂×C₄	—	2	1	no	—
278	C₂×C₄	—	2	1	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	8	1	no	—
282	C₂×C₄	—	8	1	no	—
283	C₂×C₄	C₂×D₄×C₂₃₃	1	1	yes	characteristic
284	C₂×C₄	C₂×D₄×C₂₃₃	1	1	yes	characteristic
285	C₂×C₄	C₂×D₄×C₂₃₃	1	1	yes	characteristic
286	C₂×C₄	C₂×D₄×C₂₃₃	1	1	yes	characteristic
287	C₂×C₄	C₂×D₄×C₂₃₃	1	1	yes	characteristic
288	C₂×C₄	C₂⁴×C₂₃₃	1	1	yes	characteristic
289	C₈	—	2	1	no	—
290	C₈	—	2	1	no	—
291	C₈	—	2	1	no	—
292	C₈	—	2	1	no	—
293	C₂²	—	2	1	no	—
294	C₂²	—	2	1	no	—
295	C₂²	—	2	1	no	—
296	C₂²	—	4	1	no	—
297	C₂²	—	4	1	no	—
298	C₂²	—	4	1	no	—
299	C₂²	C₂²×D₄×C₂₃₃	1	1	yes	characteristic
300	C₄	—	2	1	no	—
301	C₄	—	2	1	no	—
302	C₄	—	2	1	no	—
303	C₄	—	2	1	no	—
304	C₄	—	2	1	no	—
305	C₄	—	4	1	no	—
306	C₄	—	4	1	no	—
307	C₄	—	4	1	no	—
308	C₄	—	4	1	no	—
309	C₄	—	4	1	no	—
310	C₄	—	4	1	no	—
311	C₄	—	4	1	no	—
312	C₄	2₋¹⁺⁴×C₂₃₃	1	1	yes	characteristic
313	C₄	2₋¹⁺⁴×C₂₃₃	1	1	yes	characteristic
314	C₂	—	4	1	no	—
315	C₂	—	8	1	no	—
316	C₂	#536×C₂₃₃	1	1	yes	characteristic
317	C₂	#577×C₂₃₃	1	1	yes	characteristic
318	C₂	#577×C₂₃₃	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₂₃₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₂₃₃
prime radical	#121×C₂₃₃	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₂₃₃ ◁ #117×C₂₃₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. #544×C₂₃₃	C₂	semidirect
3. #501×C₂₃₃	C₂	semidirect
4. #498×C₂₃₃	C₂	semidirect
5. #489×C₂₃₃	C₂	semidirect
6. #488×C₂₃₃	C₂	semidirect
7. #485×C₂₃₃	C₂	semidirect
8. #483×C₂₃₃	C₂	semidirect
11. #479×C₂₃₃	C₂	semidirect
12. #478×C₂₃₃	C₂	semidirect
13. #476×C₂₃₃	C₂	semidirect
14. #475×C₂₃₃	C₂	semidirect
15. #433×C₂₃₃	C₂	semidirect
159. C₂₃₃	#3244	direct (N × H)
160. #3244	C₂₃₃	direct (N × H)
161. #544	C₂×C₂₃₃	semidirect
163. #501	C₂×C₂₃₃	semidirect
164. #498	C₂×C₂₃₃	semidirect
165. #489	C₂×C₂₃₃	semidirect
166. #488	C₂×C₂₃₃	semidirect
167. #485	C₂×C₂₃₃	semidirect
168. #483	C₂×C₂₃₃	semidirect
171. #479	C₂×C₂₃₃	semidirect
172. #478	C₂×C₂₃₃	semidirect
173. #476	C₂×C₂₃₃	semidirect
174. #475	C₂×C₂₃₃	semidirect
175. #433	C₂×C₂₃₃	semidirect

Maximal subgroups

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

subgroup	index
#544×C₂₃₃	2
#542×C₂₃₃	2
#501×C₂₃₃	2
#498×C₂₃₃	2
#489×C₂₃₃	2
#488×C₂₃₃	2
#485×C₂₃₃	2
#483×C₂₃₃	2
#482×C₂₃₃	2
#481×C₂₃₃	2
#479×C₂₃₃	2
#478×C₂₃₃	2
#476×C₂₃₃	2
#475×C₂₃₃	2
#433×C₂₃₃	2
#3244	233

Subgroups — #3244×C233 #44449276

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3244×C₂₃₃ #44449276