Subgroups — C₃×D₃×#500 #11874938

Order 1152.

897 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₃×C₄⋊Q₈	C₂	1	2	yes	maximal
2	C₃²×#500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5078	C₂	1	2	yes	maximal, complemented
4	C₃×D₃×#107	C₂	1	4	yes	maximal
5	C₃×#4874	C₂	1	4	yes	maximal, complemented
6	C₃×C₄×D₃×C₈	C₂	1	1	yes	maximal, characteristic
7	C₃×#4682	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₃×#500	—	3	1	no	maximal
9	D₃×#500	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂×C₃×D₃×Q₈	—	2	2	no	—
11	C₃²×C₄⋊Q₈	C₂²	1	2	yes	—
12	C₃×#944	—	2	2	no	—
13	C₂×C₃×D₃×C₈	C₂²	1	2	yes	—
14	C₃×D₃×C₄⋊C₄	—	2	2	no	—
15	C₃×D₃×C₄⋊C₄	C₂²	1	4	yes	—
16	C₃×#888	—	2	2	no	—
17	C₃×#888	C₂²	1	4	yes	—
18	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic
19	C₃×#869	C₂²	1	2	yes	—
20	C₃²×#107	C₂²	1	4	yes	—
21	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
22	C₃×#818	C₂²	1	4	yes	—
23	C₃×C₈×Dic₃	C₂²	1	2	yes	—
24	C₃×#807	C₂²	1	8	yes	—
25	C₃×C₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
26	C₂×C₃×C₄⋊Q₈	—	3	2	no	—
27	D₃×C₄⋊Q₈	C₂×C₃	1	2	yes	—
28	C₃×#500	—	2	1	no	—
29	C₃×#500	—	3	2	no	—
30	C₃×#500	—	3	4	no	—
31	C₃×#500	—	3	1	no	—
32	C₃×#500	D₃	1	1	yes	characteristic, direct product factor
33	C₃×#500	C₂×C₃	1	1	yes	characteristic, complemented
34	C₂×C₃×#107	—	3	4	no	—
35	C₂×C₃×C₄×C₈	—	3	1	no	—
36	#5078	C₂×C₃	1	2	yes	complemented
37	D₃×#107	C₂×C₃	1	4	yes	—
38	#4874	C₂×C₃	1	4	yes	complemented
39	C₄×D₃×C₈	C₂×C₃	1	1	yes	characteristic
40	#4682	C₂×C₃	1	1	yes	characteristic, complemented
41	C₂×C₃²×Q₈	—	2	2	no	—
42	C₃×D₃×Q₈	—	4	8	no	—
43	C₂×C₃×C₄×D₃	—	2	4	no	—
44	C₂×C₃×C₄×D₃	D₄	1	1	yes	characteristic
45	C₂×C₃×C₄×D₃	D₄	1	1	yes	characteristic
46	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
47	C₂×C₃×Dic₆	—	2	2	no	—
48	C₂×C₃×Dic₆	—	2	4	no	—
49	C₂×C₃²×C₈	C₂³	1	2	yes	—
50	C₃²×C₄⋊C₄	—	2	2	no	—
51	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
52	C₃²×C₄²	C₂³	1	1	yes	characteristic
53	C₃×C₄⋊Dic₃	—	2	2	no	—
54	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
55	C₃×Dic₃⋊C₄	—	2	4	no	—
56	C₃×Dic₃⋊C₄	—	2	4	no	—
57	C₃×C₄×Dic₃	D₄	1	1	yes	characteristic
58	C₃×C₄×Dic₃	D₄	1	1	yes	characteristic
59	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
60	C₂×C₃×C₃⋊C₈	C₂³	1	2	yes	—
61	C₃×D₃×C₈	Q₈	1	8	yes	complemented
62	C₂×#500	—	3	1	no	Sylow
63	C₂²×C₃×Q₈	—	6	2	no	—
64	C₂×D₃×Q₈	—	2	2	no	—
65	C₂²×C₃×C₈	—	3	2	no	—
66	C₃×C₄⋊Q₈	—	2	2	no	—
67	C₃×C₄⋊Q₈	—	3	4	no	—
68	C₃×C₄⋊Q₈	—	3	2	no	—
69	C₃×C₄⋊Q₈	—	6	2	no	—
70	C₃×C₄⋊Q₈	—	6	2	no	—
71	C₃×C₄⋊Q₈	C₂×D₃	1	2	yes	—
72	C₃×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
73	C₂×C₃×C₄⋊C₄	—	3	4	no	—
74	C₂×C₃×C₄⋊C₄	—	6	2	no	—
75	C₂×C₃×C₄²	—	3	1	no	—
76	#944	—	2	2	no	—
77	C₂×D₃×C₈	C₂²×C₃	1	2	yes	—
78	D₃×C₄⋊C₄	—	2	2	no	—
79	D₃×C₄⋊C₄	C₂²×C₃	1	4	yes	—
80	#888	—	2	2	no	—
81	#888	C₂²×C₃	1	4	yes	—
82	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic
83	#869	C₂²×C₃	1	2	yes	—
84	C₃×#107	—	2	4	no	—
85	C₃×#107	—	3	4	no	—
86	C₃×#107	—	3	8	no	—
87	C₃×#107	C₂×D₃	1	4	yes	—
88	C₃×#107	C₂²×C₃	1	4	yes	—
89	C₃×C₄×C₈	—	2	1	no	—
90	C₃×C₄×C₈	—	3	2	no	—
91	C₃×C₄×C₈	—	3	1	no	—
92	C₃×C₄×C₈	C₂×D₃	1	1	yes	characteristic
93	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
94	#818	C₂²×C₃	1	4	yes	—
95	C₈×Dic₃	C₂²×C₃	1	2	yes	—
96	#807	C₂²×C₃	1	8	yes	—
97	C₄×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
98	C₂²×C₃×D₃	C₂×D₄	1	1	yes	characteristic
99	C₃²×Q₈	—	4	4	no	—
100	C₂×C₃²×C₄	—	2	4	no	—
101	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
102	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
103	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
104	C₂×C₃×Dic₃	—	2	4	no	—
105	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
106	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
107	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
108	C₃×C₄×D₃	—	4	8	no	—
109	C₃×C₄×D₃	D₈	1	4	yes	—
110	C₃×C₄×D₃	Q₁₆	1	4	yes	—
111	C₃×C₄×D₃	C₂×Q₈	1	4	yes	—
112	C₃×Dic₆	—	4	4	no	—
113	C₃×Dic₆	—	4	8	no	—
114	C₃²×C₈	C₂×Q₈	1	4	yes	complemented
115	C₃×C₃⋊C₈	C₂×Q₈	1	4	yes	complemented
116	C₂×C₄⋊Q₈	—	3	2	no	—
117	#500	—	3	2	no	—
118	#500	—	3	4	no	—
119	#500	—	3	1	no	—
120	#500	C₃×D₃	1	1	yes	characteristic, direct product factor
121	C₂×#107	—	3	4	no	—
122	C₂×C₄×C₈	—	3	1	no	—
123	C₂×C₃×Q₈	—	2	2	no	—
124	C₂×C₃×Q₈	—	2	2	no	—
125	C₂×C₃×Q₈	—	4	2	no	—
126	C₂×C₃×Q₈	—	6	4	no	—
127	C₂×C₃×Q₈	—	6	2	no	—
128	C₂×C₃×Q₈	—	12	8	no	—
129	C₂²×C₃×C₄	—	3	1	no	—
130	C₂²×C₃×C₄	—	3	1	no	—
131	C₂²×C₃×C₄	—	3	1	no	—
132	C₂²×C₃×C₄	—	6	4	no	—
133	D₃×Q₈	—	4	8	no	—
134	C₂×C₄×D₃	—	2	4	no	—
135	C₂×C₄×D₃	C₃×D₄	1	1	yes	characteristic
136	C₂×C₄×D₃	C₃×D₄	1	1	yes	characteristic
137	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
138	C₂×Dic₆	—	2	2	no	—
139	C₂×Dic₆	—	2	4	no	—
140	C₂×C₃×C₈	—	2	2	no	—
141	C₂×C₃×C₈	—	3	2	no	—
142	C₂×C₃×C₈	—	3	8	no	—
143	C₂×C₃×C₈	C₂²×D₃	1	2	yes	—
144	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
145	C₃×C₄⋊C₄	—	2	2	no	—
146	C₃×C₄⋊C₄	—	2	2	no	—
147	C₃×C₄⋊C₄	—	2	4	no	—
148	C₃×C₄⋊C₄	—	3	4	no	—
149	C₃×C₄⋊C₄	—	4	2	no	—
150	C₃×C₄⋊C₄	—	6	4	no	—
151	C₃×C₄⋊C₄	—	6	4	no	—
152	C₃×C₄⋊C₄	—	6	2	no	—
153	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
154	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
155	C₃×C₄²	—	2	1	no	—
156	C₃×C₄²	—	3	1	no	—
157	C₃×C₄²	—	3	1	no	—
158	C₃×C₄²	—	3	1	no	—
159	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
160	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
161	C₄⋊Dic₃	—	2	2	no	—
162	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
163	Dic₃⋊C₄	—	2	4	no	—
164	Dic₃⋊C₄	—	2	4	no	—
165	C₄×Dic₃	C₃×D₄	1	1	yes	characteristic
166	C₄×Dic₃	C₃×D₄	1	1	yes	characteristic
167	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
168	C₂×C₃⋊C₈	C₂³×C₃	1	2	yes	—
169	D₃×C₈	C₃×Q₈	1	8	yes	complemented
170	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₃×D₃	C₄⋊Q₈	1	2	yes	—
172	C₂×C₃×D₃	C₂×D₈	1	2	yes	—
173	C₂×C₃×D₃	C₂×Q₁₆	1	2	yes	—
174	C₃²×C₄	—	4	4	no	—
175	C₃²×C₄	C₂×D₈	1	2	yes	—
176	C₃²×C₄	C₂×Q₁₆	1	2	yes	—
177	C₃²×C₄	C₂²×Q₈	1	2	yes	—
178	C₃×Dic₃	—	4	4	no	—
179	C₃×Dic₃	C₄⋊Q₈	1	2	yes	—
180	C₃×Dic₃	C₂×D₈	1	2	yes	—
181	C₃×Dic₃	C₂×Q₁₆	1	2	yes	—
182	C₂²×Q₈	—	6	2	no	—
183	C₂²×C₈	—	3	2	no	—
184	C₄⋊Q₈	—	3	4	no	—
185	C₄⋊Q₈	—	3	2	no	—
186	C₄⋊Q₈	—	6	2	no	—
187	C₄⋊Q₈	—	6	2	no	—
188	C₄⋊Q₈	C₂×C₃×D₃	1	2	yes	—
189	C₂×C₄⋊C₄	—	3	4	no	—
190	C₂×C₄⋊C₄	—	6	2	no	—
191	C₂×C₄²	—	3	1	no	—
192	#107	—	3	4	no	—
193	#107	—	3	8	no	—
194	#107	C₂×C₃×D₃	1	4	yes	—
195	C₄×C₈	—	3	2	no	—
196	C₄×C₈	—	3	1	no	—
197	C₄×C₈	C₂×C₃×D₃	1	1	yes	characteristic
198	C₂³×C₃	—	3	1	no	—
199	C₂²×D₃	C₂×C₃×D₄	1	1	yes	characteristic
200	C₃×Q₈	—	4	4	no	—
201	C₃×Q₈	—	4	4	no	—
202	C₃×Q₈	—	8	4	no	—
203	C₃×Q₈	—	12	8	no	—
204	C₃×Q₈	—	12	4	no	—
205	C₂×C₃×C₄	—	2	4	no	—
206	C₂×C₃×C₄	—	2	4	no	—
207	C₂×C₃×C₄	—	2	1	no	—
208	C₂×C₃×C₄	—	2	1	no	—
209	C₂×C₃×C₄	—	2	1	no	—
210	C₂×C₃×C₄	—	3	1	no	—
211	C₂×C₃×C₄	—	3	1	no	—
212	C₂×C₃×C₄	—	3	1	no	—
213	C₂×C₃×C₄	—	3	4	no	—
214	C₂×C₃×C₄	—	3	4	no	—
215	C₂×C₃×C₄	—	3	4	no	—
216	C₂×C₃×C₄	—	4	4	no	—
217	C₂×C₃×C₄	—	6	4	no	—
218	C₂×C₃×C₄	—	12	8	no	—
219	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
220	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
221	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
222	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
223	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
224	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
225	C₂×Dic₃	—	2	4	no	—
226	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
227	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
228	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
229	C₄×D₃	—	4	8	no	—
230	C₄×D₃	C₃×D₈	1	4	yes	—
231	C₄×D₃	C₃×Q₁₆	1	4	yes	—
232	C₄×D₃	C₂×C₃×Q₈	1	4	yes	—
233	Dic₆	—	4	4	no	—
234	Dic₆	—	4	8	no	—
235	C₃×C₈	—	2	4	no	—
236	C₃×C₈	—	3	4	no	—
237	C₃×C₈	D₃×Q₈	1	4	yes	complemented
238	C₃×C₈	C₂×C₃×Q₈	1	4	yes	complemented
239	C₃⋊C₈	C₂×C₃×Q₈	1	4	yes	complemented
240	C₂×C₃²	C₂×C₄⋊Q₈	1	1	yes	characteristic
241	C₂×C₃²	C₂²×D₈	1	1	yes	characteristic
242	C₂×C₃²	C₂²×Q₁₆	1	1	yes	characteristic
243	C₃×D₃	#500	1	4	yes	direct product factor
244	C₂×Q₈	—	2	2	no	—
245	C₂×Q₈	—	6	4	no	—
246	C₂×Q₈	—	6	2	no	—
247	C₂×Q₈	—	12	8	no	—
248	C₂²×C₄	—	3	1	no	—
249	C₂²×C₄	—	3	1	no	—
250	C₂²×C₄	—	3	1	no	—
251	C₂²×C₄	—	6	4	no	—
252	C₂×C₈	—	3	2	no	—
253	C₂×C₈	—	3	8	no	—
254	C₂×C₈	C₂²×C₃×D₃	1	2	yes	—
255	C₄⋊C₄	—	2	2	no	—
256	C₄⋊C₄	—	3	4	no	—
257	C₄⋊C₄	—	6	4	no	—
258	C₄⋊C₄	—	6	4	no	—
259	C₄⋊C₄	—	6	2	no	—
260	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
261	C₄²	—	3	1	no	—
262	C₄²	—	3	1	no	—
263	C₄²	—	3	1	no	—
264	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
265	C₂²×C₃	—	2	1	no	—
266	C₂²×C₃	—	3	2	no	—
267	C₂²×C₃	—	3	2	no	—
268	C₂²×C₃	—	3	2	no	—
269	C₂²×C₃	C₂×D₃×D₄	1	1	yes	characteristic
270	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
271	C₂×D₃	C₃×C₄⋊Q₈	1	2	yes	—
272	C₂×D₃	C₂×C₃×D₈	1	2	yes	—
273	C₂×D₃	C₂×C₃×Q₁₆	1	2	yes	—
274	C₃×C₄	—	2	2	no	—
275	C₃×C₄	—	2	2	no	—
276	C₃×C₄	—	2	2	no	—
277	C₃×C₄	—	3	2	no	—
278	C₃×C₄	—	3	2	no	—
279	C₃×C₄	—	3	2	no	—
280	C₃×C₄	—	4	4	no	—
281	C₃×C₄	—	4	4	no	—
282	C₃×C₄	—	8	4	no	—
283	C₃×C₄	—	12	4	no	—
284	C₃×C₄	D₃×D₈	1	2	yes	—
285	C₃×C₄	D₃×Q₁₆	1	2	yes	—
286	C₃×C₄	C₂×C₃×D₈	1	2	yes	—
287	C₃×C₄	C₂×C₃×Q₁₆	1	2	yes	—
288	C₃×C₄	C₂×D₃×Q₈	1	2	yes	—
289	C₃×C₄	C₂²×C₃×Q₈	1	2	yes	—
290	Dic₃	—	4	4	no	—
291	Dic₃	C₃×C₄⋊Q₈	1	2	yes	—
292	Dic₃	C₂×C₃×D₈	1	2	yes	—
293	Dic₃	C₂×C₃×Q₁₆	1	2	yes	—
294	C₃²	C₂×#500	1	1	yes	characteristic, complemented, Sylow
295	C₂³	—	3	1	no	—
296	Q₈	—	4	4	no	—
297	Q₈	—	12	8	no	—
298	Q₈	—	12	4	no	—
299	C₂×C₄	—	2	4	no	—
300	C₂×C₄	—	3	1	no	—
301	C₂×C₄	—	3	1	no	—
302	C₂×C₄	—	3	1	no	—
303	C₂×C₄	—	3	4	no	—
304	C₂×C₄	—	3	4	no	—
305	C₂×C₄	—	3	4	no	—
306	C₂×C₄	—	6	4	no	—
307	C₂×C₄	—	12	8	no	—
308	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
309	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
310	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
311	C₈	—	3	4	no	—
312	C₈	C₃×D₃×Q₈	1	4	yes	complemented
313	C₂×C₃	—	2	1	no	—
314	C₂×C₃	—	2	1	no	—
315	C₂×C₃	—	2	1	no	—
316	C₂×C₃	—	3	4	no	—
317	C₂×C₃	D₃×C₄⋊Q₈	1	1	yes	characteristic
318	C₂×C₃	C₂×D₃×D₈	1	1	yes	characteristic
319	C₂×C₃	C₂×D₃×Q₁₆	1	1	yes	characteristic
320	C₂×C₃	C₂×C₃×C₄⋊Q₈	1	1	yes	characteristic
321	C₂×C₃	C₂²×C₃×D₈	1	1	yes	characteristic
322	C₂×C₃	C₂²×C₃×Q₁₆	1	1	yes	characteristic
323	D₃	C₃×#500	1	4	yes	direct product factor
324	C₂²	—	3	2	no	—
325	C₂²	—	3	2	no	—
326	C₂²	—	3	2	no	—
327	C₂²	C₂×C₃×D₃×D₄	1	1	yes	characteristic
328	C₄	—	3	2	no	—
329	C₄	—	3	2	no	—
330	C₄	—	3	2	no	—
331	C₄	—	4	4	no	—
332	C₄	—	12	4	no	—
333	C₄	C₃×D₃×D₈	1	2	yes	—
334	C₄	C₃×D₃×Q₁₆	1	2	yes	—
335	C₄	C₂×C₃×D₃×Q₈	1	2	yes	—
336	C₃	—	2	1	no	—
337	C₃	D₃×#500	1	1	yes	characteristic, direct product factor
338	C₃	C₂×C₃×#500	1	1	yes	characteristic, complemented
339	C₂	—	3	4	no	—
340	C₂	C₃×D₃×C₄⋊Q₈	1	1	yes	characteristic
341	C₂	C₂×C₃×D₃×D₈	1	1	yes	characteristic
342	C₂	C₂×C₃×D₃×Q₁₆	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×#500	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂²×C₃×D₃	C₂×D₄
hypercenter	C₃×#500	D₃
hypocenter	C₃	C₂×C₃×#500
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×#500

Complements

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

N	H ≅ G/N	type
2. C₃²×#500	C₂	semidirect
3. C₃×#5078	C₂	semidirect
5. C₃×#4874	C₂	semidirect
7. C₃×#4682	C₂	semidirect
9. D₃×#500	C₃	direct (N × H)
32. C₃×#500	D₃	direct (N × H)
33. C₃×#500	C₂×C₃	semidirect
36. #5078	C₂×C₃	semidirect
38. #4874	C₂×C₃	semidirect
40. #4682	C₂×C₃	semidirect
61. C₃×D₃×C₈	Q₈	semidirect
114. C₃²×C₈	C₂×Q₈	semidirect
115. C₃×C₃⋊C₈	C₂×Q₈	semidirect
120. #500	C₃×D₃	direct (N × H)
169. D₃×C₈	C₃×Q₈	semidirect
237. C₃×C₈	D₃×Q₈	semidirect
238. C₃×C₈	C₂×C₃×Q₈	semidirect
239. C₃⋊C₈	C₂×C₃×Q₈	semidirect
243. C₃×D₃	#500	direct (N × H)
294. C₃²	C₂×#500	semidirect
312. C₈	C₃×D₃×Q₈	semidirect
323. D₃	C₃×#500	direct (N × H)
337. C₃	D₃×#500	direct (N × H)
338. C₃	C₂×C₃×#500	semidirect

Maximal subgroups

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

subgroup	index
C₃×D₃×C₄⋊Q₈	2
C₃²×#500	2
C₃×#5078	2
C₃×D₃×#107	2
C₃×#4874	2
C₃×C₄×D₃×C₈	2
C₃×#4682	2
C₂×C₃×#500	3
D₃×#500	3

Subgroups — C3×D3×#500 #11874938

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₃×#500 #11874938