Subgroups — C₃×#10599782 #14294774

Order 1920.

776 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₅×M₁₆	C₂	1	2	yes	maximal
2	C₂×C₃×#4038	C₂	1	1	yes	maximal, characteristic
3	C₃×C₅×#343	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#64774	C₂	1	2	yes	maximal, complemented
5	C₃×#64750	C₂	1	1	yes	maximal, characteristic, complemented
6	#10599782	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
8	C₂×C₃×C₅×M₁₆	C₂²	1	2	yes	—
9	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
10	C₂×C₃×#685	C₄	1	2	yes	—
11	C₂×C₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
12	C₂×C₃×C₄×Dic₅	C₄	1	2	yes	—
13	C₂×C₃×#681	C₂²	1	2	yes	—
14	C₃×D₅×M₁₆	—	2	4	no	—
15	C₃×D₅×M₁₆	C₄	1	8	yes	complemented
16	C₂×C₃×#676	—	2	2	no	—
17	C₂×C₃×C₈×D₅	—	2	2	no	—
18	C₃×#4038	—	2	2	no	—
19	C₃×#4038	—	2	2	no	—
20	C₃×#1742	—	5	1	no	maximal, Hall
21	C₂×D₅×M₁₆	C₂×C₃	1	2	yes	—
22	C₂×#4038	C₂×C₃	1	1	yes	characteristic
23	C₅×#343	C₂×C₃	1	1	yes	characteristic, complemented
24	#64774	C₂×C₃	1	2	yes	complemented
25	#64750	C₂×C₃	1	1	yes	characteristic, complemented
26	C₂³×C₃×D₅	C₂×C₄	1	1	yes	characteristic
27	C₂²×C₃×C₄×C₅	C₂×C₄	1	2	yes	—
28	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
29	C₂²×C₃×Dic₅	C₂×C₄	1	2	yes	—
30	C₂²×C₃×Dic₅	C₂×C₄	1	1	yes	characteristic
31	C₂×C₃×C₄×D₅	C₂×C₄	1	4	yes	—
32	C₂×C₃×C₄×D₅	D₄	1	2	yes	—
33	C₂×C₃×C₄×D₅	D₄	1	2	yes	—
34	C₂×C₃×C₄×D₅	D₄	1	2	yes	—
35	C₂×C₃×C₄×D₅	Q₈	1	2	yes	—
36	C₃×C₅×M₁₆	—	2	2	no	—
37	C₃×C₅×M₁₆	C₂×C₄	1	4	yes	—
38	C₂×C₃×C₅×C₈	—	2	2	no	—
39	C₃×C₅×C₄⋊C₄	—	2	2	no	—
40	C₃×#685	—	2	4	no	—
41	C₃×C₄⋊Dic₅	—	2	2	no	—
42	C₃×C₄×Dic₅	—	2	2	no	—
43	C₃×C₄×Dic₅	—	2	2	no	—
44	C₃×#681	—	2	2	no	—
45	C₃×#681	C₂×C₄	1	4	yes	—
46	C₂×C₃×#168	—	2	2	no	—
47	C₃×#676	—	2	8	no	—
48	C₃×C₈×D₅	—	2	8	no	—
49	C₂²×C₃×M₁₆	—	5	2	no	—
50	C₂×C₃×#117	—	5	1	no	—
51	C₃×#343	—	5	2	no	—
52	C₃×#343	—	5	1	no	—
53	C₃×#343	D₅	1	1	yes	characteristic, complemented
54	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
55	C₂×C₅×M₁₆	C₂²×C₃	1	2	yes	—
56	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
57	C₂×#685	C₃×C₄	1	2	yes	—
58	C₂×C₄⋊Dic₅	C₂²×C₃	1	1	yes	characteristic
59	C₂×C₄×Dic₅	C₃×C₄	1	2	yes	—
60	C₂×#681	C₂²×C₃	1	2	yes	—
61	D₅×M₁₆	—	2	4	no	—
62	D₅×M₁₆	C₃×C₄	1	8	yes	complemented
63	C₂×#676	—	2	2	no	—
64	C₂×C₈×D₅	—	2	2	no	—
65	#4038	—	2	2	no	—
66	#4038	—	2	2	no	—
67	#1742	—	5	1	no	Sylow
68	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
69	C₂²×C₃×D₅	—	4	1	no	—
70	C₂²×C₃×D₅	—	4	1	no	—
71	C₂²×C₃×D₅	C₄²	1	2	yes	—
72	C₂²×C₃×D₅	C₂²⋊C₄	1	2	yes	—
73	C₂²×C₃×D₅	C₄⋊C₄	1	2	yes	—
74	C₂×C₃×C₄×C₅	—	2	2	no	—
75	C₂×C₃×C₄×C₅	—	4	2	no	—
76	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
77	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
78	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
79	C₂×C₃×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
80	C₂×C₃×Dic₅	—	2	2	no	—
81	C₂×C₃×Dic₅	—	4	2	no	—
82	C₂×C₃×Dic₅	C₄²	1	2	yes	—
83	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×C₃×Dic₅	C₂²⋊C₄	1	1	yes	characteristic
85	C₂×C₃×Dic₅	C₄⋊C₄	1	2	yes	—
86	C₃×C₄×D₅	C₂²⋊C₄	1	4	yes	—
87	C₃×C₄×D₅	C₂²⋊C₄	1	4	yes	—
88	C₃×C₄×D₅	C₄⋊C₄	1	4	yes	—
89	C₃×C₄×D₅	C₄⋊C₄	1	4	yes	—
90	C₃×C₅×C₈	—	2	4	no	—
91	C₃×#168	—	2	4	no	—
92	C₂³×C₃×C₄	—	5	1	no	—
93	C₂×C₃×M₁₆	—	5	2	no	—
94	C₂×C₃×M₁₆	—	5	8	no	—
95	C₂×C₃×M₁₆	—	10	2	no	—
96	C₂×C₃×M₁₆	—	10	4	no	—
97	C₂×C₃×M₁₆	C₂×D₅	1	2	yes	—
98	C₂²×C₃×C₈	—	10	2	no	—
99	C₃×#117	—	10	2	no	—
100	C₃×#117	—	10	2	no	—
101	C₂×C₃×C₄⋊C₄	—	5	1	no	—
102	C₂×C₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
103	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
104	C₂×C₃×C₄²	—	5	2	no	—
105	C₂³×D₅	C₂×C₃×C₄	1	1	yes	characteristic
106	C₂²×C₄×C₅	C₂×C₃×C₄	1	2	yes	—
107	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
108	C₂²×Dic₅	C₂×C₃×C₄	1	2	yes	—
109	C₂²×Dic₅	C₂×C₃×C₄	1	1	yes	characteristic
110	C₂×C₄×D₅	C₂×C₃×C₄	1	4	yes	—
111	C₂×C₄×D₅	C₃×D₄	1	2	yes	—
112	C₂×C₄×D₅	C₃×D₄	1	2	yes	—
113	C₂×C₄×D₅	C₃×D₄	1	2	yes	—
114	C₂×C₄×D₅	C₃×Q₈	1	2	yes	—
115	C₅×M₁₆	—	2	2	no	—
116	C₅×M₁₆	C₂×C₃×C₄	1	4	yes	—
117	C₂×C₅×C₈	—	2	2	no	—
118	C₅×C₄⋊C₄	—	2	2	no	—
119	#685	—	2	4	no	—
120	C₄⋊Dic₅	—	2	2	no	—
121	C₄×Dic₅	—	2	2	no	—
122	C₄×Dic₅	—	2	2	no	—
123	#681	—	2	2	no	—
124	#681	C₂×C₃×C₄	1	4	yes	—
125	C₂×#168	—	2	2	no	—
126	#676	—	2	8	no	—
127	C₈×D₅	—	2	8	no	—
128	C₂²×M₁₆	—	5	2	no	—
129	C₂×#117	—	5	1	no	—
130	#343	—	5	2	no	—
131	#343	—	5	1	no	—
132	#343	C₃×D₅	1	1	yes	characteristic, complemented
133	C₂²×C₃×C₅	—	2	1	no	—
134	C₂²×C₃×C₅	—	2	1	no	—
135	C₂²×C₃×C₅	C₂×C₄²	1	1	yes	characteristic
136	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
137	C₂²×C₃×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
138	C₂×C₃×D₅	—	2	2	no	—
139	C₂×C₃×D₅	—	2	2	no	—
140	C₂×C₃×D₅	—	4	2	no	—
141	C₂×C₃×D₅	—	4	2	no	—
142	C₂×C₃×D₅	#95	1	4	yes	—
143	C₃×C₄×C₅	—	4	2	no	—
144	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	2	yes	—
145	C₃×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
146	C₃×Dic₅	—	4	2	no	—
147	C₃×Dic₅	#95	1	2	yes	—
148	C₃×Dic₅	#95	1	2	yes	—
149	C₂⁴×C₃	—	5	1	no	—
150	C₂²×C₃×C₄	—	5	1	no	—
151	C₂²×C₃×C₄	—	5	4	no	—
152	C₂²×C₃×C₄	—	5	2	no	—
153	C₂²×C₃×C₄	—	5	2	no	—
154	C₂²×C₃×C₄	—	5	2	no	—
155	C₂²×C₃×C₄	—	5	2	no	—
156	C₂²×C₃×C₄	—	5	2	no	—
157	C₂²×C₃×C₄	C₄×D₅	1	2	yes	—
158	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
159	C₃×M₁₆	—	2	2	no	—
160	C₃×M₁₆	—	5	4	no	—
161	C₃×M₁₆	—	10	8	no	—
162	C₃×M₁₆	—	10	2	no	—
163	C₃×M₁₆	C₄×D₅	1	4	yes	—
164	C₂×C₃×C₈	—	2	2	no	—
165	C₂×C₃×C₈	—	10	8	no	—
166	C₂×C₃×C₈	—	10	2	no	—
167	C₃×C₄⋊C₄	—	2	2	no	—
168	C₃×C₄⋊C₄	—	10	2	no	—
169	C₃×C₂²⋊C₄	—	10	4	no	—
170	C₃×C₄²	—	10	2	no	—
171	C₃×C₄²	—	10	2	no	—
172	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
173	C₂²×D₅	—	4	1	no	—
174	C₂²×D₅	—	4	1	no	—
175	C₂²×D₅	C₃×C₄²	1	2	yes	—
176	C₂²×D₅	C₃×C₂²⋊C₄	1	2	yes	—
177	C₂²×D₅	C₃×C₄⋊C₄	1	2	yes	—
178	C₂×C₄×C₅	—	2	2	no	—
179	C₂×C₄×C₅	—	4	2	no	—
180	C₂×C₄×C₅	C₂²×C₃×C₄	1	2	yes	—
181	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
182	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
183	C₂×C₄×C₅	C₂×C₃×Q₈	1	1	yes	characteristic
184	C₂×Dic₅	—	2	2	no	—
185	C₂×Dic₅	—	4	2	no	—
186	C₂×Dic₅	C₃×C₄²	1	2	yes	—
187	C₂×Dic₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
188	C₂×Dic₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
189	C₂×Dic₅	C₃×C₄⋊C₄	1	2	yes	—
190	C₄×D₅	C₃×C₂²⋊C₄	1	4	yes	—
191	C₄×D₅	C₃×C₂²⋊C₄	1	4	yes	—
192	C₄×D₅	C₃×C₄⋊C₄	1	4	yes	—
193	C₄×D₅	C₃×C₄⋊C₄	1	4	yes	—
194	C₅×C₈	—	2	4	no	—
195	#168	—	2	4	no	—
196	C₂³×C₄	—	5	1	no	—
197	C₂×M₁₆	—	5	2	no	—
198	C₂×M₁₆	—	5	8	no	—
199	C₂×M₁₆	—	10	2	no	—
200	C₂×M₁₆	—	10	4	no	—
201	C₂×M₁₆	C₂×C₃×D₅	1	2	yes	—
202	C₂²×C₈	—	10	2	no	—
203	#117	—	10	2	no	—
204	#117	—	10	2	no	—
205	C₂×C₄⋊C₄	—	5	1	no	—
206	C₂×C₄⋊C₄	C₂×C₃×D₅	1	1	yes	characteristic
207	C₂×C₂²⋊C₄	—	5	2	no	—
208	C₂×C₄²	—	5	2	no	—
209	C₂×C₃×C₅	—	2	1	no	—
210	C₂×C₃×C₅	—	2	1	no	—
211	C₂×C₃×C₅	C₂×#95	1	1	yes	characteristic
212	C₂×C₃×C₅	#413	1	1	yes	characteristic
213	C₂×C₃×C₅	#413	1	1	yes	characteristic
214	C₃×D₅	—	2	4	no	—
215	C₂³×C₃	—	5	2	no	—
216	C₂³×C₃	—	5	2	no	—
217	C₂³×C₃	—	5	2	no	—
218	C₂³×C₃	—	20	1	no	—
219	C₂³×C₃	—	20	1	no	—
220	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
221	C₂×C₃×C₄	—	2	2	no	—
222	C₂×C₃×C₄	—	4	2	no	—
223	C₂×C₃×C₄	—	5	2	no	—
224	C₂×C₃×C₄	—	5	1	no	—
225	C₂×C₃×C₄	—	5	1	no	—
226	C₂×C₃×C₄	—	5	2	no	—
227	C₂×C₃×C₄	—	5	4	no	—
228	C₂×C₃×C₄	—	5	4	no	—
229	C₂×C₃×C₄	—	5	4	no	—
230	C₂×C₃×C₄	—	5	4	no	—
231	C₂×C₃×C₄	—	10	2	no	—
232	C₂×C₃×C₄	—	20	2	no	—
233	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
234	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
235	C₂×C₃×C₄	D₄×D₅	1	2	yes	—
236	C₂×C₃×C₄	Q₈×D₅	1	1	yes	characteristic
237	C₃×C₈	—	2	4	no	—
238	C₃×C₈	—	10	4	no	—
239	C₂²×C₅	—	2	1	no	—
240	C₂²×C₅	—	2	1	no	—
241	C₂²×C₅	C₂×C₃×C₄²	1	1	yes	characteristic
242	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
243	C₂²×C₅	C₂×C₃×C₄⋊C₄	1	1	yes	characteristic
244	C₂×D₅	—	2	2	no	—
245	C₂×D₅	—	2	2	no	—
246	C₂×D₅	—	4	2	no	—
247	C₂×D₅	—	4	2	no	—
248	C₂×D₅	C₃×#95	1	4	yes	—
249	C₄×C₅	—	4	2	no	—
250	C₄×C₅	C₂×C₃×C₂²⋊C₄	1	2	yes	—
251	C₄×C₅	C₂×C₃×C₄⋊C₄	1	2	yes	—
252	Dic₅	—	4	2	no	—
253	Dic₅	C₃×#95	1	2	yes	—
254	Dic₅	C₃×#95	1	2	yes	—
255	C₂⁴	—	5	1	no	—
256	C₂²×C₄	—	5	1	no	—
257	C₂²×C₄	—	5	4	no	—
258	C₂²×C₄	—	5	2	no	—
259	C₂²×C₄	—	5	2	no	—
260	C₂²×C₄	—	5	2	no	—
261	C₂²×C₄	—	5	2	no	—
262	C₂²×C₄	—	5	2	no	—
263	C₂²×C₄	C₃×C₄×D₅	1	2	yes	—
264	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
265	M₁₆	—	2	2	no	—
266	M₁₆	—	5	4	no	—
267	M₁₆	—	10	8	no	—
268	M₁₆	—	10	2	no	—
269	M₁₆	C₃×C₄×D₅	1	4	yes	—
270	C₂×C₈	—	2	2	no	—
271	C₂×C₈	—	10	8	no	—
272	C₂×C₈	—	10	2	no	—
273	C₄⋊C₄	—	2	2	no	—
274	C₄⋊C₄	—	10	2	no	—
275	C₂²⋊C₄	—	10	4	no	—
276	C₄²	—	10	2	no	—
277	C₄²	—	10	2	no	—
278	C₃×C₅	#1742	1	1	yes	characteristic, complemented, Hall
279	C₂²×C₃	—	2	1	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	5	4	no	—
282	C₂²×C₃	—	10	2	no	—
283	C₂²×C₃	—	10	2	no	—
284	C₂²×C₃	—	20	2	no	—
285	C₂²×C₃	—	20	2	no	—
286	C₂²×C₃	C₄²×D₅	1	1	yes	characteristic
287	C₂²×C₃	D₅×C₂²⋊C₄	1	1	yes	characteristic
288	C₂²×C₃	D₅×C₄⋊C₄	1	1	yes	characteristic
289	C₃×C₄	—	4	2	no	—
290	C₃×C₄	—	5	2	no	—
291	C₃×C₄	—	5	2	no	—
292	C₃×C₄	—	20	2	no	—
293	C₃×C₄	D₅×C₂²⋊C₄	1	2	yes	—
294	C₃×C₄	D₅×C₄⋊C₄	1	2	yes	—
295	C₂×C₅	—	2	1	no	—
296	C₂×C₅	—	2	1	no	—
297	C₂×C₅	C₂×C₃×#95	1	1	yes	characteristic
298	C₂×C₅	C₃×#413	1	1	yes	characteristic
299	C₂×C₅	C₃×#413	1	1	yes	characteristic
300	D₅	—	2	4	no	—
301	C₂³	—	5	2	no	—
302	C₂³	—	5	2	no	—
303	C₂³	—	5	2	no	—
304	C₂³	—	20	1	no	—
305	C₂³	—	20	1	no	—
306	C₂³	C₂×C₃×C₄×D₅	1	1	yes	characteristic
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	5	2	no	—
310	C₂×C₄	—	5	1	no	—
311	C₂×C₄	—	5	1	no	—
312	C₂×C₄	—	5	2	no	—
313	C₂×C₄	—	5	4	no	—
314	C₂×C₄	—	5	4	no	—
315	C₂×C₄	—	5	4	no	—
316	C₂×C₄	—	5	4	no	—
317	C₂×C₄	—	10	2	no	—
318	C₂×C₄	—	20	2	no	—
319	C₂×C₄	C₂×C₃×C₄×D₅	1	2	yes	—
320	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
321	C₂×C₄	C₃×D₄×D₅	1	2	yes	—
322	C₂×C₄	C₃×Q₈×D₅	1	1	yes	characteristic
323	C₈	—	2	4	no	—
324	C₈	—	10	4	no	—
325	C₂×C₃	—	2	1	no	—
326	C₂×C₃	—	2	1	no	—
327	C₂×C₃	—	10	4	no	—
328	C₂×C₃	D₅×#95	1	1	yes	characteristic
329	C₂×C₃	#65034	1	1	yes	characteristic
330	C₂×C₃	#65040	1	1	yes	characteristic
331	C₅	C₃×#1742	1	1	yes	characteristic, complemented, Sylow
332	C₂²	—	2	1	no	—
333	C₂²	—	2	1	no	—
334	C₂²	—	5	4	no	—
335	C₂²	—	10	2	no	—
336	C₂²	—	10	2	no	—
337	C₂²	—	20	2	no	—
338	C₂²	—	20	2	no	—
339	C₂²	C₃×C₄²×D₅	1	1	yes	characteristic
340	C₂²	C₃×D₅×C₂²⋊C₄	1	1	yes	characteristic
341	C₂²	C₃×D₅×C₄⋊C₄	1	1	yes	characteristic
342	C₄	—	4	2	no	—
343	C₄	—	5	2	no	—
344	C₄	—	5	2	no	—
345	C₄	—	20	2	no	—
346	C₄	C₃×D₅×C₂²⋊C₄	1	2	yes	—
347	C₄	C₃×D₅×C₄⋊C₄	1	2	yes	—
348	C₃	#10599782	1	1	yes	characteristic, direct product factor, Sylow
349	C₂	—	2	1	no	—
350	C₂	—	2	1	no	—
351	C₂	—	10	4	no	—
352	C₂	C₃×D₅×#95	1	1	yes	characteristic
353	C₂	C₃×#65034	1	1	yes	characteristic
354	C₂	C₃×#65040	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	D₅×C₂²⋊C₄
commutator	C₂²×C₅	C₂×C₃×C₄²
Frattini	C₂²×C₄	C₂²×C₃×D₅
Fitting	C₃×C₅×#343	C₂
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₂³×C₃×D₅	C₂×C₄
cosocle	C₂²×C₄×C₅	C₂³×C₃
hypercenter	C₃×#343	D₅
hypocenter	C₅	C₃×#1742
LCS	G ▷ C₂²×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₃×#343

Complements

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

N	H ≅ G/N	type
3. C₃×C₅×#343	C₂	semidirect
4. C₃×#64774	C₂	semidirect
5. C₃×#64750	C₂	semidirect
6. #10599782	C₃	direct (N × H)
15. C₃×D₅×M₁₆	C₄	semidirect
23. C₅×#343	C₂×C₃	semidirect
24. #64774	C₂×C₃	semidirect
25. #64750	C₂×C₃	semidirect
53. C₃×#343	D₅	semidirect
62. D₅×M₁₆	C₃×C₄	semidirect
132. #343	C₃×D₅	semidirect
278. C₃×C₅	#1742	semidirect
331. C₅	C₃×#1742	semidirect
348. C₃	#10599782	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×D₅×M₁₆	2
C₂×C₃×#4038	2
C₃×C₅×#343	2
C₃×#64774	2
C₃×#64750	2
#10599782	3
C₃×#1742	5

Subgroups — C3×#10599782 #14294774

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10599782 #14294774