Subgroups — C₃×#90323 #13060964

Order 1344.

560 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	C₂×C₃×Q₈×D₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×Dic₁₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#6507	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₄×C₂²⋊D₇	C₂	1	1	yes	maximal, characteristic
6	C₃×#6460	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#6459	C₂	1	2	yes	maximal, complemented
8	C₃×#6451	C₂	1	2	yes	maximal, complemented
9	C₃×#6450	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×(C₂²⋊D₇)⋊C₄	C₂	1	2	yes	maximal
11	C₃×#6441	C₂	1	2	yes	maximal, complemented
12	#90323	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
13	C₂×C₃×C₇×Q₈	C₂²	1	1	yes	characteristic
14	C₂²×C₃×C₄×C₇	C₂²	1	1	yes	characteristic
15	C₂×C₃×C₂²⋊D₇	C₂²	1	1	yes	characteristic
16	C₂²×C₃×Dic₇	C₂²	1	2	yes	—
17	C₃×Q₈×D₇	—	2	4	no	—
18	C₂×C₃×C₄×D₇	C₂²	1	2	yes	—
19	C₂×C₃×C₄×D₇	C₂²	1	1	yes	characteristic
20	C₂×C₃×Dic₁₄	—	2	4	no	—
21	C₂×C₃×Dic₁₄	C₂²	1	2	yes	—
22	C₂×C₃×Dic₁₄	C₂²	1	2	yes	—
23	C₂×C₃×Dic₁₄	C₂²	1	1	yes	characteristic
24	C₂×C₃×Dic₁₄	C₂²	1	1	yes	characteristic
25	C₃×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₃×C₇×C₄⋊C₄	C₂²	1	2	yes	—
27	C₃×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
28	C₃×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
29	C₃×(C₂×D₇)⋊C₄	C₂²	1	2	yes	—
30	C₃×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
31	C₃×C₄⋊Dic₇	C₂²	1	2	yes	—
32	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
33	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
34	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
35	C₃×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
36	C₃×C₄×Dic₇	C₂²	1	2	yes	—
37	C₃×C₄×Dic₇	C₂²	1	1	yes	characteristic
38	C₂×Q₈×D₇	C₂×C₃	1	1	yes	characteristic, complemented
39	C₂²×Dic₁₄	C₂×C₃	1	1	yes	characteristic, complemented
40	C₇×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
41	#6507	C₂×C₃	1	1	yes	characteristic, complemented
42	C₄×C₂²⋊D₇	C₂×C₃	1	1	yes	characteristic
43	#6460	C₂×C₃	1	1	yes	characteristic, complemented
44	#6459	C₂×C₃	1	2	yes	complemented
45	#6451	C₂×C₃	1	2	yes	complemented
46	#6450	C₂×C₃	1	1	yes	characteristic, complemented
47	(C₂²⋊D₇)⋊C₄	C₂×C₃	1	2	yes	—
48	#6441	C₂×C₃	1	2	yes	complemented
49	C₃×D₄×Q₈	—	7	1	no	maximal, Hall
50	C₂³×C₃×C₇	C₂³	1	1	yes	characteristic
51	C₂²×C₃×D₇	C₂³	1	1	yes	characteristic
52	C₃×C₇×Q₈	—	2	2	no	—
53	C₂×C₃×C₄×C₇	—	2	2	no	—
54	C₂×C₃×C₄×C₇	C₂³	1	2	yes	—
55	C₂×C₃×C₄×C₇	C₂³	1	2	yes	—
56	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
57	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
58	C₃×C₂²⋊D₇	Q₈	1	4	yes	complemented
59	C₂×C₃×Dic₇	—	2	4	no	—
60	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
61	C₂×C₃×Dic₇	C₂³	1	2	yes	—
62	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
63	C₂×C₃×Dic₇	C₂³	1	2	yes	—
64	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
65	C₃×C₄×D₇	—	2	2	no	—
66	C₃×C₄×D₇	—	2	4	no	—
67	C₃×Dic₁₄	—	2	2	no	—
68	C₃×Dic₁₄	—	2	4	no	—
69	C₃×Dic₁₄	—	2	4	no	—
70	C₃×Dic₁₄	D₄	1	4	yes	complemented
71	C₂×C₇×Q₈	C₂²×C₃	1	1	yes	characteristic
72	C₂²×C₄×C₇	C₂²×C₃	1	1	yes	characteristic
73	C₂×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic
74	C₂²×Dic₇	C₂²×C₃	1	2	yes	—
75	Q₈×D₇	—	2	4	no	—
76	C₂×C₄×D₇	C₂²×C₃	1	2	yes	—
77	C₂×C₄×D₇	C₂²×C₃	1	1	yes	characteristic
78	C₂×Dic₁₄	—	2	4	no	—
79	C₂×Dic₁₄	C₂²×C₃	1	2	yes	—
80	C₂×Dic₁₄	C₂²×C₃	1	2	yes	—
81	C₂×Dic₁₄	C₂²×C₃	1	1	yes	characteristic
82	C₂×Dic₁₄	C₂²×C₃	1	1	yes	characteristic
83	C₇×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
84	C₇×C₄⋊C₄	C₂²×C₃	1	2	yes	—
85	C₇×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
86	C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic
87	(C₂×D₇)⋊C₄	C₂²×C₃	1	2	yes	—
88	(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic
89	C₄⋊Dic₇	C₂²×C₃	1	2	yes	—
90	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
91	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
92	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
93	Dic₇⋊C₄	C₂²×C₃	1	1	yes	characteristic
94	C₄×Dic₇	C₂²×C₃	1	2	yes	—
95	C₄×Dic₇	C₂²×C₃	1	1	yes	characteristic
96	C₂²×C₃×Q₈	—	7	1	no	—
97	C₂²×C₃×Q₈	—	7	1	no	—
98	C₃×C₄⋊Q₈	—	7	1	no	—
99	C₃×C₄⋊Q₈	—	7	2	no	—
100	C₃×C₂²⋊Q₈	—	7	2	no	—
101	C₃×C₂²⋊Q₈	—	7	1	no	—
102	C₃×C₂²⋊Q₈	—	7	2	no	—
103	C₃×C₂²⋊Q₈	D₇	1	1	yes	characteristic, complemented
104	C₃×C₄×Q₈	—	7	1	no	—
105	C₃×C₄×D₄	—	7	1	no	—
106	C₃×C₄×D₄	—	7	2	no	—
107	C₂²×C₃×C₇	—	2	1	no	—
108	C₂²×C₃×C₇	—	2	1	no	—
109	C₂²×C₃×C₇	C₂×Q₈	1	2	yes	complemented
110	C₂²×C₃×C₇	C₂⁴	1	1	yes	characteristic
111	C₂×C₃×D₇	—	2	1	no	—
112	C₂×C₃×D₇	—	2	1	no	—
113	C₂×C₃×D₇	C₂×Q₈	1	2	yes	complemented
114	C₃×C₄×C₇	—	2	1	no	—
115	C₃×C₄×C₇	—	2	2	no	—
116	C₃×C₄×C₇	—	2	2	no	—
117	C₃×C₄×C₇	C₂×D₄	1	2	yes	—
118	C₃×Dic₇	—	2	1	no	—
119	C₃×Dic₇	—	2	2	no	—
120	C₃×Dic₇	—	2	1	no	—
121	C₃×Dic₇	C₂×D₄	1	4	yes	—
122	C₃×Dic₇	C₂×Q₈	1	2	yes	complemented
123	D₄×Q₈	—	7	1	no	Sylow
124	C₂³×C₇	C₂³×C₃	1	1	yes	characteristic
125	C₂²×D₇	C₂³×C₃	1	1	yes	characteristic
126	C₇×Q₈	—	2	2	no	—
127	C₂×C₄×C₇	—	2	2	no	—
128	C₂×C₄×C₇	C₂³×C₃	1	2	yes	—
129	C₂×C₄×C₇	C₂³×C₃	1	2	yes	—
130	C₂×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
131	C₂×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
132	C₂²⋊D₇	C₃×Q₈	1	4	yes	complemented
133	C₂×Dic₇	—	2	4	no	—
134	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
135	C₂×Dic₇	C₂³×C₃	1	2	yes	—
136	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
137	C₂×Dic₇	C₂³×C₃	1	2	yes	—
138	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
139	C₄×D₇	—	2	2	no	—
140	C₄×D₇	—	2	4	no	—
141	Dic₁₄	—	2	2	no	—
142	Dic₁₄	—	2	4	no	—
143	Dic₁₄	—	2	4	no	—
144	Dic₁₄	C₃×D₄	1	4	yes	complemented
145	C₂×C₃×Q₈	—	7	1	no	—
146	C₂×C₃×Q₈	—	7	2	no	—
147	C₂×C₃×Q₈	—	7	2	no	—
148	C₂×C₃×Q₈	—	7	1	no	—
149	C₂×C₃×Q₈	—	14	4	no	—
150	C₂×C₃×Q₈	—	14	4	no	—
151	C₂×C₃×Q₈	C₂×D₇	1	1	yes	characteristic
152	C₂×C₃×D₄	—	7	1	no	—
153	C₂²×C₃×C₄	—	7	2	no	—
154	C₂²×C₃×C₄	—	7	2	no	—
155	C₂²×C₃×C₄	—	7	1	no	—
156	C₂²×C₃×C₄	C₂×D₇	1	1	yes	characteristic
157	C₃×C₄⋊C₄	—	7	1	no	—
158	C₃×C₄⋊C₄	—	7	2	no	—
159	C₃×C₄⋊C₄	—	7	2	no	—
160	C₃×C₄⋊C₄	—	7	2	no	—
161	C₃×C₄⋊C₄	—	7	2	no	—
162	C₃×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
163	C₃×C₄⋊C₄	C₂×D₇	1	2	yes	—
164	C₃×C₂²⋊C₄	—	7	1	no	—
165	C₃×C₂²⋊C₄	—	7	1	no	—
166	C₃×C₂²⋊C₄	—	7	2	no	—
167	C₃×C₂²⋊C₄	C₂×D₇	1	2	yes	—
168	C₃×C₄²	—	7	2	no	—
169	C₃×C₄²	—	7	1	no	—
170	C₂×C₃×C₇	—	2	2	no	—
171	C₂×C₃×C₇	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₃×C₇	C₂²×Q₈	1	1	yes	characteristic
173	C₂×C₃×C₇	2₋¹⁺⁴	1	1	yes	characteristic
174	C₃×D₇	—	2	2	no	—
175	C₂²×Q₈	—	7	1	no	—
176	C₂²×Q₈	—	7	1	no	—
177	C₄⋊Q₈	—	7	1	no	—
178	C₄⋊Q₈	—	7	2	no	—
179	C₂²⋊Q₈	—	7	2	no	—
180	C₂²⋊Q₈	—	7	1	no	—
181	C₂²⋊Q₈	—	7	2	no	—
182	C₂²⋊Q₈	C₃×D₇	1	1	yes	characteristic, complemented
183	C₄×Q₈	—	7	1	no	—
184	C₄×D₄	—	7	1	no	—
185	C₄×D₄	—	7	2	no	—
186	C₂²×C₇	—	2	1	no	—
187	C₂²×C₇	—	2	1	no	—
188	C₂²×C₇	C₂×C₃×Q₈	1	2	yes	complemented
189	C₂²×C₇	C₂⁴×C₃	1	1	yes	characteristic
190	C₂×D₇	—	2	1	no	—
191	C₂×D₇	—	2	1	no	—
192	C₂×D₇	C₂×C₃×Q₈	1	2	yes	complemented
193	C₄×C₇	—	2	1	no	—
194	C₄×C₇	—	2	2	no	—
195	C₄×C₇	—	2	2	no	—
196	C₄×C₇	C₂×C₃×D₄	1	2	yes	—
197	Dic₇	—	2	1	no	—
198	Dic₇	—	2	2	no	—
199	Dic₇	—	2	1	no	—
200	Dic₇	C₂×C₃×D₄	1	4	yes	—
201	Dic₇	C₂×C₃×Q₈	1	2	yes	complemented
202	C₂³×C₃	—	7	1	no	—
203	C₂³×C₃	C₂²×D₇	1	1	yes	characteristic
204	C₃×Q₈	—	2	2	no	—
205	C₃×Q₈	—	7	4	no	—
206	C₃×Q₈	—	14	4	no	—
207	C₃×Q₈	—	14	4	no	—
208	C₃×Q₈	—	14	2	no	—
209	C₃×D₄	—	7	4	no	—
210	C₂×C₃×C₄	—	2	2	no	—
211	C₂×C₃×C₄	—	7	1	no	—
212	C₂×C₃×C₄	—	7	2	no	—
213	C₂×C₃×C₄	—	7	1	no	—
214	C₂×C₃×C₄	—	7	2	no	—
215	C₂×C₃×C₄	—	7	1	no	—
216	C₂×C₃×C₄	—	14	4	no	—
217	C₂×C₃×C₄	—	14	4	no	—
218	C₂×C₃×C₄	—	14	2	no	—
219	C₂×C₃×C₄	C₂²×D₇	1	2	yes	—
220	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
221	C₂×C₃×C₄	C₂²×D₇	1	2	yes	—
222	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
223	C₃×C₇	D₄×Q₈	1	1	yes	characteristic, complemented, Hall
224	C₂×Q₈	—	7	1	no	—
225	C₂×Q₈	—	7	2	no	—
226	C₂×Q₈	—	7	2	no	—
227	C₂×Q₈	—	7	1	no	—
228	C₂×Q₈	—	14	4	no	—
229	C₂×Q₈	—	14	4	no	—
230	C₂×Q₈	C₂×C₃×D₇	1	1	yes	characteristic
231	C₂×D₄	—	7	1	no	—
232	C₂²×C₄	—	7	2	no	—
233	C₂²×C₄	—	7	2	no	—
234	C₂²×C₄	—	7	1	no	—
235	C₂²×C₄	C₂×C₃×D₇	1	1	yes	characteristic
236	C₄⋊C₄	—	7	1	no	—
237	C₄⋊C₄	—	7	2	no	—
238	C₄⋊C₄	—	7	2	no	—
239	C₄⋊C₄	—	7	2	no	—
240	C₄⋊C₄	—	7	2	no	—
241	C₄⋊C₄	C₂×C₃×D₇	1	1	yes	characteristic
242	C₄⋊C₄	C₂×C₃×D₇	1	2	yes	—
243	C₂²⋊C₄	—	7	1	no	—
244	C₂²⋊C₄	—	7	1	no	—
245	C₂²⋊C₄	—	7	2	no	—
246	C₂²⋊C₄	C₂×C₃×D₇	1	2	yes	—
247	C₄²	—	7	2	no	—
248	C₄²	—	7	1	no	—
249	C₂×C₇	—	2	2	no	—
250	C₂×C₇	C₂²×C₃×D₄	1	1	yes	characteristic
251	C₂×C₇	C₂²×C₃×Q₈	1	1	yes	characteristic
252	C₂×C₇	C₃×2₋¹⁺⁴	1	1	yes	characteristic
253	D₇	—	2	2	no	—
254	C₂²×C₃	—	2	1	no	—
255	C₂²×C₃	—	2	1	no	—
256	C₂²×C₃	—	7	2	no	—
257	C₂²×C₃	—	14	1	no	—
258	C₂²×C₃	—	14	1	no	—
259	C₂²×C₃	Q₈×D₇	1	2	yes	complemented
260	C₂²×C₃	C₂³×D₇	1	1	yes	characteristic
261	C₃×C₄	—	2	1	no	—
262	C₃×C₄	—	2	2	no	—
263	C₃×C₄	—	2	2	no	—
264	C₃×C₄	—	7	4	no	—
265	C₃×C₄	—	7	2	no	—
266	C₃×C₄	—	14	2	no	—
267	C₃×C₄	—	14	1	no	—
268	C₃×C₄	—	14	1	no	—
269	C₃×C₄	D₄×D₇	1	2	yes	—
270	C₂³	—	7	1	no	—
271	C₂³	C₂²×C₃×D₇	1	1	yes	characteristic
272	Q₈	—	2	2	no	—
273	Q₈	—	7	4	no	—
274	Q₈	—	14	4	no	—
275	Q₈	—	14	4	no	—
276	Q₈	—	14	2	no	—
277	D₄	—	7	4	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	7	1	no	—
280	C₂×C₄	—	7	2	no	—
281	C₂×C₄	—	7	1	no	—
282	C₂×C₄	—	7	1	no	—
283	C₂×C₄	—	7	2	no	—
284	C₂×C₄	—	14	4	no	—
285	C₂×C₄	—	14	4	no	—
286	C₂×C₄	—	14	2	no	—
287	C₂×C₄	C₂²×C₃×D₇	1	2	yes	—
288	C₂×C₄	C₂²×C₃×D₇	1	1	yes	characteristic
289	C₂×C₄	C₂²×C₃×D₇	1	2	yes	—
290	C₂×C₄	C₂²×C₃×D₇	1	1	yes	characteristic
291	C₇	C₃×D₄×Q₈	1	1	yes	characteristic, complemented, Sylow
292	C₂×C₃	—	2	2	no	—
293	C₂×C₃	—	14	2	no	—
294	C₂×C₃	C₂×D₄×D₇	1	1	yes	characteristic
295	C₂×C₃	C₂×Q₈×D₇	1	1	yes	characteristic
296	C₂×C₃	#6554	1	1	yes	characteristic
297	C₂²	—	2	1	no	—
298	C₂²	—	2	1	no	—
299	C₂²	—	7	2	no	—
300	C₂²	—	14	1	no	—
301	C₂²	—	14	1	no	—
302	C₂²	C₃×Q₈×D₇	1	2	yes	complemented
303	C₂²	C₂³×C₃×D₇	1	1	yes	characteristic
304	C₄	—	2	1	no	—
305	C₄	—	2	2	no	—
306	C₄	—	2	2	no	—
307	C₄	—	7	4	no	—
308	C₄	—	7	2	no	—
309	C₄	—	14	2	no	—
310	C₄	—	14	1	no	—
311	C₄	—	14	1	no	—
312	C₄	C₃×D₄×D₇	1	2	yes	—
313	C₃	#90323	1	1	yes	characteristic, direct product factor, Sylow
314	C₂	—	2	2	no	—
315	C₂	—	14	2	no	—
316	C₂	C₂×C₃×D₄×D₇	1	1	yes	characteristic
317	C₂	C₂×C₃×Q₈×D₇	1	1	yes	characteristic
318	C₂	C₃×#6554	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂³×D₇
commutator, cosocle	C₂²×C₇	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×D₇
Fitting	C₃×C₇×C₂²⋊Q₈	C₂
socle	C₂²×C₃×C₇	C₂⁴
prime radical	C₂×C₃×C₂²⋊D₇	C₂²
hypercenter	C₃×C₂²⋊Q₈	D₇
hypocenter	C₇	C₃×D₄×Q₈
LCS	G ▷ C₂²×C₇ ▷ C₇
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×Q₈×D₇	C₂	semidirect
2. C₂²×C₃×Dic₁₄	C₂	semidirect
3. C₃×C₇×C₂²⋊Q₈	C₂	semidirect
4. C₃×#6507	C₂	semidirect
6. C₃×#6460	C₂	semidirect
7. C₃×#6459	C₂	semidirect
8. C₃×#6451	C₂	semidirect
9. C₃×#6450	C₂	semidirect
11. C₃×#6441	C₂	semidirect
12. #90323	C₃	direct (N × H)
38. C₂×Q₈×D₇	C₂×C₃	semidirect
39. C₂²×Dic₁₄	C₂×C₃	semidirect
40. C₇×C₂²⋊Q₈	C₂×C₃	semidirect
41. #6507	C₂×C₃	semidirect
43. #6460	C₂×C₃	semidirect
44. #6459	C₂×C₃	semidirect
45. #6451	C₂×C₃	semidirect
46. #6450	C₂×C₃	semidirect
48. #6441	C₂×C₃	semidirect
58. C₃×C₂²⋊D₇	Q₈	semidirect
70. C₃×Dic₁₄	D₄	semidirect
103. C₃×C₂²⋊Q₈	D₇	semidirect
109. C₂²×C₃×C₇	C₂×Q₈	semidirect
113. C₂×C₃×D₇	C₂×Q₈	semidirect
122. C₃×Dic₇	C₂×Q₈	semidirect
132. C₂²⋊D₇	C₃×Q₈	semidirect
144. Dic₁₄	C₃×D₄	semidirect
182. C₂²⋊Q₈	C₃×D₇	semidirect
188. C₂²×C₇	C₂×C₃×Q₈	semidirect
192. C₂×D₇	C₂×C₃×Q₈	semidirect
201. Dic₇	C₂×C₃×Q₈	semidirect
223. C₃×C₇	D₄×Q₈	semidirect
259. C₂²×C₃	Q₈×D₇	semidirect
291. C₇	C₃×D₄×Q₈	semidirect
302. C₂²	C₃×Q₈×D₇	semidirect
313. C₃	#90323	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×Q₈×D₇	2
C₂²×C₃×Dic₁₄	2
C₃×C₇×C₂²⋊Q₈	2
C₃×#6507	2
C₃×C₄×C₂²⋊D₇	2
C₃×#6460	2
C₃×#6459	2
C₃×#6451	2
C₃×#6450	2
C₃×(C₂²⋊D₇)⋊C₄	2
C₃×#6441	2
#90323	3
C₃×D₄×Q₈	7

Subgroups — C3×#90323 #13060964

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#90323 #13060964