Subgroups — C₁₉×#10567 #18016526

Order 4864.

604 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2659	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1852	C₂	1	2	yes	maximal
3	C₁₉×#1444	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1294	C₂	1	2	yes	maximal
5	C₁₉×#1280	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₉×C₂²⋊Q₈	—	2	1	no	—
7	C₂²×C₄⋊C₄×C₁₉	—	2	1	no	—
8	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#107	—	2	2	no	—
10	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
11	C₁₉×#398	—	2	2	no	—
12	C₁₉×#395	—	2	2	no	—
13	C₁₉×#380	—	2	1	no	—
14	C₁₉×#380	C₂²	1	2	yes	—
15	C₂×C₁₉×#95	—	2	1	no	—
16	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
18	C₁₉×#340	—	2	2	no	—
19	C₂²×Q₈×C₁₉	—	2	1	no	—
20	C₂³×C₄×C₁₉	—	2	1	no	—
21	C₂³×C₄×C₁₉	—	2	1	no	—
22	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
23	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
24	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
25	C₂²×C₈×C₁₉	—	2	2	no	—
26	C₁₉×C₂²⋊Q₈	—	4	2	no	—
27	C₁₉×C₂²⋊Q₈	—	4	2	no	—
28	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
29	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
30	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
31	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
32	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
33	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
34	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
35	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
36	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
37	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
38	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
39	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
40	C₁₉×#107	—	4	4	no	—
41	C₁₉×C₂²⋊C₈	—	2	2	no	—
42	C₁₉×C₂²⋊C₈	Q₈	1	4	yes	complemented
43	C₁₉×#95	—	2	2	no	—
44	C₁₉×#95	—	2	2	no	—
45	C₁₉×#95	—	2	2	no	—
46	C₁₉×#95	—	2	1	no	—
47	C₁₉×#95	—	4	2	no	—
48	C₁₉×#95	Q₈	1	2	yes	complemented
49	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
50	C₂×Q₈×C₁₉	—	4	2	no	—
51	C₂×Q₈×C₁₉	—	8	1	no	—
52	C₂×Q₈×C₁₉	—	8	1	no	—
53	C₂²×C₄×C₁₉	—	2	2	no	—
54	C₂²×C₄×C₁₉	—	2	2	no	—
55	C₂²×C₄×C₁₉	—	2	1	no	—
56	C₂²×C₄×C₁₉	—	2	1	no	—
57	C₂²×C₄×C₁₉	—	2	2	no	—
58	C₂²×C₄×C₁₉	—	2	1	no	—
59	C₂²×C₄×C₁₉	—	2	1	no	—
60	C₂²×C₄×C₁₉	—	2	2	no	—
61	C₂²×C₄×C₁₉	—	2	2	no	—
62	C₂²×C₄×C₁₉	—	2	2	no	—
63	C₂²×C₄×C₁₉	—	4	1	no	—
64	C₂²×C₄×C₁₉	—	4	1	no	—
65	C₂²×C₄×C₁₉	—	4	1	no	—
66	C₂²×C₄×C₁₉	—	4	1	no	—
67	C₂²×C₄×C₁₉	—	4	1	no	—
68	C₂²×C₄×C₁₉	—	4	1	no	—
69	C₂²×C₄×C₁₉	—	4	1	no	—
70	C₂²×C₄×C₁₉	—	4	1	no	—
71	C₂²×C₄×C₁₉	—	4	1	no	—
72	C₂²×C₄×C₁₉	—	4	1	no	—
73	C₂²×C₄×C₁₉	—	4	1	no	—
74	C₂²×C₄×C₁₉	—	4	1	no	—
75	C₂²×C₄×C₁₉	—	4	1	no	—
76	C₂²×C₄×C₁₉	—	4	1	no	—
77	C₂²×C₄×C₁₉	—	4	1	no	—
78	C₂²×C₄×C₁₉	—	4	1	no	—
79	C₂²×C₄×C₁₉	D₈	1	2	yes	—
80	C₂²×C₄×C₁₉	Q₁₆	1	2	yes	—
81	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
82	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
83	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
85	C₂×C₈×C₁₉	—	2	4	no	—
86	C₂×C₈×C₁₉	—	4	2	no	—
87	C₂×C₈×C₁₉	—	4	2	no	—
88	C₄⋊C₄×C₁₉	—	2	4	no	—
89	C₄⋊C₄×C₁₉	—	4	2	no	—
90	C₄⋊C₄×C₁₉	—	4	2	no	—
91	C₄⋊C₄×C₁₉	—	4	2	no	—
92	C₄⋊C₄×C₁₉	—	4	2	no	—
93	C₄⋊C₄×C₁₉	—	4	4	no	—
94	C₄⋊C₄×C₁₉	—	4	8	no	—
95	C₄⋊C₄×C₁₉	—	8	1	no	—
96	C₄⋊C₄×C₁₉	—	8	1	no	—
97	C₂²⋊C₄×C₁₉	—	4	2	no	—
98	C₂²⋊C₄×C₁₉	—	4	2	no	—
99	#10567	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
100	C₂³×C₁₉	—	2	1	no	—
101	C₂³×C₁₉	—	2	1	no	—
102	C₂³×C₁₉	—	2	1	no	—
103	C₂³×C₁₉	—	2	1	no	—
104	C₂³×C₁₉	#120	1	1	yes	characteristic
105	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
106	C₂³×C₁₉	C₄⋊Q₈	1	1	yes	characteristic
107	C₂³×C₁₉	C₂×D₈	1	1	yes	characteristic
108	C₂³×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
109	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
110	C₂³×C₁₉	#137	1	1	yes	characteristic
111	Q₈×C₁₉	—	8	4	no	—
112	C₂×C₄×C₁₉	—	2	2	no	—
113	C₂×C₄×C₁₉	—	2	2	no	—
114	C₂×C₄×C₁₉	—	2	4	no	—
115	C₂×C₄×C₁₉	—	2	2	no	—
116	C₂×C₄×C₁₉	—	2	2	no	—
117	C₂×C₄×C₁₉	—	4	2	no	—
118	C₂×C₄×C₁₉	—	4	1	no	—
119	C₂×C₄×C₁₉	—	4	1	no	—
120	C₂×C₄×C₁₉	—	4	2	no	—
121	C₂×C₄×C₁₉	—	4	2	no	—
122	C₂×C₄×C₁₉	—	4	2	no	—
123	C₂×C₄×C₁₉	—	4	2	no	—
124	C₂×C₄×C₁₉	—	4	2	no	—
125	C₂×C₄×C₁₉	—	4	1	no	—
126	C₂×C₄×C₁₉	—	4	1	no	—
127	C₂×C₄×C₁₉	—	4	1	no	—
128	C₂×C₄×C₁₉	—	4	1	no	—
129	C₂×C₄×C₁₉	—	4	2	no	—
130	C₂×C₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	4	2	no	—
132	C₂×C₄×C₁₉	—	4	2	no	—
133	C₂×C₄×C₁₉	—	4	2	no	—
134	C₂×C₄×C₁₉	—	4	2	no	—
135	C₂×C₄×C₁₉	—	4	2	no	—
136	C₂×C₄×C₁₉	—	4	2	no	—
137	C₂×C₄×C₁₉	—	4	2	no	—
138	C₂×C₄×C₁₉	—	4	2	no	—
139	C₂×C₄×C₁₉	—	4	2	no	—
140	C₂×C₄×C₁₉	—	4	2	no	—
141	C₂×C₄×C₁₉	—	8	1	no	—
142	C₂×C₄×C₁₉	—	8	1	no	—
143	C₂×C₄×C₁₉	—	8	1	no	—
144	C₂×C₄×C₁₉	—	8	1	no	—
145	C₂×C₄×C₁₉	—	8	1	no	—
146	C₂×C₄×C₁₉	—	8	1	no	—
147	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
148	C₂×C₄×C₁₉	C₄⋊Q₈	1	2	yes	—
149	C₈×C₁₉	—	4	4	no	—
150	#2659	C₂×C₁₉	1	1	yes	characteristic
151	#1852	C₂×C₁₉	1	2	yes	—
152	#1444	C₂×C₁₉	1	1	yes	characteristic
153	#1294	C₂×C₁₉	1	2	yes	—
154	#1280	C₂×C₁₉	1	1	yes	characteristic
155	C₂²×C₁₉	—	2	1	no	—
156	C₂²×C₁₉	—	2	1	no	—
157	C₂²×C₁₉	—	2	1	no	—
158	C₂²×C₁₉	—	2	1	no	—
159	C₂²×C₁₉	—	2	1	no	—
160	C₂²×C₁₉	—	2	1	no	—
161	C₂²×C₁₉	—	2	1	no	—
162	C₂²×C₁₉	—	2	1	no	—
163	C₂²×C₁₉	—	2	1	no	—
164	C₂²×C₁₉	—	2	1	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	1	no	—
167	C₂²×C₁₉	#395	1	1	yes	characteristic
168	C₂²×C₁₉	#447	1	1	yes	characteristic
169	C₂²×C₁₉	#451	1	1	yes	characteristic
170	C₂²×C₁₉	#453	1	1	yes	characteristic
171	C₂²×C₁₉	#456	1	1	yes	characteristic
172	C₂²×C₁₉	B(4,𝔽₂)	1	1	yes	characteristic
173	C₂²×C₁₉	#458	1	1	yes	characteristic
174	C₂²×C₁₉	#474	1	1	yes	characteristic
175	C₂²×C₁₉	#477	1	1	yes	characteristic
176	C₂²×C₁₉	#500	1	1	yes	characteristic
177	C₂²×C₁₉	#501	1	1	yes	characteristic
178	C₄×C₁₉	—	2	2	no	—
179	C₄×C₁₉	—	2	2	no	—
180	C₄×C₁₉	—	4	4	no	—
181	C₄×C₁₉	—	4	2	no	—
182	C₄×C₁₉	—	4	2	no	—
183	C₄×C₁₉	—	8	2	no	—
184	C₄×C₁₉	—	8	2	no	—
185	C₄×C₁₉	—	8	2	no	—
186	C₂×C₂²⋊Q₈	—	2	1	no	—
187	C₂²×C₄⋊C₄	—	2	1	no	—
188	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
189	C₂×#107	—	2	2	no	—
190	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
191	#398	—	2	2	no	—
192	#395	—	2	2	no	—
193	#380	—	2	1	no	—
194	#380	C₂²×C₁₉	1	2	yes	—
195	C₂×#95	—	2	1	no	—
196	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
197	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
198	#340	—	2	2	no	—
199	C₂×C₁₉	—	2	1	no	—
200	C₂×C₁₉	—	2	1	no	—
201	C₂×C₁₉	—	2	1	no	—
202	C₂×C₁₉	—	2	1	no	—
203	C₂×C₁₉	#1595	1	1	yes	characteristic
204	C₂×C₁₉	#1605	1	1	yes	characteristic
205	C₂×C₁₉	#1610	1	1	yes	characteristic
206	C₂×C₁₉	#1614	1	1	yes	characteristic
207	C₂×C₁₉	#2057	1	1	yes	characteristic
208	C₂×C₁₉	#2060	1	1	yes	characteristic
209	C₂×C₁₉	#2062	1	1	yes	characteristic
210	C₂²×Q₈	—	2	1	no	—
211	C₂³×C₄	—	2	1	no	—
212	C₂³×C₄	—	2	1	no	—
213	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
214	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
215	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
216	C₂²×C₈	—	2	2	no	—
217	C₂²⋊Q₈	—	4	2	no	—
218	C₂²⋊Q₈	—	4	2	no	—
219	C₂×C₄⋊C₄	—	2	2	no	—
220	C₂×C₄⋊C₄	—	2	2	no	—
221	C₂×C₄⋊C₄	—	2	1	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	4	2	no	—
225	C₂×C₄⋊C₄	—	4	2	no	—
226	C₂×C₄⋊C₄	—	4	2	no	—
227	C₂×C₄⋊C₄	—	4	2	no	—
228	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
229	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
230	C₂×C₂²⋊C₄	—	2	2	no	—
231	#107	—	4	4	no	—
232	C₂²⋊C₈	—	2	2	no	—
233	C₂²⋊C₈	Q₈×C₁₉	1	4	yes	complemented
234	#95	—	2	2	no	—
235	#95	—	2	2	no	—
236	#95	—	2	2	no	—
237	#95	—	2	1	no	—
238	#95	—	4	2	no	—
239	#95	Q₈×C₁₉	1	2	yes	complemented
240	C₁₉	#10567	1	1	yes	characteristic, direct product factor, Sylow
241	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
242	C₂×Q₈	—	4	2	no	—
243	C₂×Q₈	—	8	1	no	—
244	C₂×Q₈	—	8	1	no	—
245	C₂²×C₄	—	2	2	no	—
246	C₂²×C₄	—	2	2	no	—
247	C₂²×C₄	—	2	1	no	—
248	C₂²×C₄	—	2	1	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	1	no	—
251	C₂²×C₄	—	2	1	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	4	1	no	—
256	C₂²×C₄	—	4	1	no	—
257	C₂²×C₄	—	4	1	no	—
258	C₂²×C₄	—	4	1	no	—
259	C₂²×C₄	—	4	1	no	—
260	C₂²×C₄	—	4	1	no	—
261	C₂²×C₄	—	4	1	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	—	4	1	no	—
265	C₂²×C₄	—	4	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	4	1	no	—
268	C₂²×C₄	—	4	1	no	—
269	C₂²×C₄	—	4	1	no	—
270	C₂²×C₄	—	4	1	no	—
271	C₂²×C₄	D₈×C₁₉	1	2	yes	—
272	C₂²×C₄	Q₁₆×C₁₉	1	2	yes	—
273	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
274	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
275	C₂²×C₄	C₂×Q₈×C₁₉	1	1	yes	characteristic
276	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
277	C₂×C₈	—	2	4	no	—
278	C₂×C₈	—	4	2	no	—
279	C₂×C₈	—	4	2	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	4	2	no	—
282	C₄⋊C₄	—	4	2	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	—	4	4	no	—
286	C₄⋊C₄	—	4	8	no	—
287	C₄⋊C₄	—	8	1	no	—
288	C₄⋊C₄	—	8	1	no	—
289	C₂²⋊C₄	—	4	2	no	—
290	C₂²⋊C₄	—	4	2	no	—
291	C₂³	—	2	1	no	—
292	C₂³	—	2	1	no	—
293	C₂³	—	2	1	no	—
294	C₂³	—	2	1	no	—
295	C₂³	C₁₉×#120	1	1	yes	characteristic
296	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
297	C₂³	C₁₉×C₄⋊Q₈	1	1	yes	characteristic
298	C₂³	C₂×D₈×C₁₉	1	1	yes	characteristic
299	C₂³	C₂×Q₁₆×C₁₉	1	1	yes	characteristic
300	C₂³	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
301	C₂³	C₁₉×#137	1	1	yes	characteristic
302	Q₈	—	8	4	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	4	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	4	1	no	—
310	C₂×C₄	—	4	1	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	4	2	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	4	1	no	—
318	C₂×C₄	—	4	1	no	—
319	C₂×C₄	—	4	1	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	8	1	no	—
333	C₂×C₄	—	8	1	no	—
334	C₂×C₄	—	8	1	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	—	8	1	no	—
338	C₂×C₄	C₁₉×C₂²⋊Q₈	1	2	yes	—
339	C₂×C₄	C₁₉×C₄⋊Q₈	1	2	yes	—
340	C₈	—	4	4	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	C₁₉×#395	1	1	yes	characteristic
354	C₂²	C₁₉×#447	1	1	yes	characteristic
355	C₂²	C₁₉×#451	1	1	yes	characteristic
356	C₂²	C₁₉×#453	1	1	yes	characteristic
357	C₂²	C₁₉×#456	1	1	yes	characteristic
358	C₂²	C₁₉×B(4,𝔽₂)	1	1	yes	characteristic
359	C₂²	C₁₉×#458	1	1	yes	characteristic
360	C₂²	C₁₉×#474	1	1	yes	characteristic
361	C₂²	C₁₉×#477	1	1	yes	characteristic
362	C₂²	C₁₉×#500	1	1	yes	characteristic
363	C₂²	C₁₉×#501	1	1	yes	characteristic
364	C₄	—	2	2	no	—
365	C₄	—	2	2	no	—
366	C₄	—	4	4	no	—
367	C₄	—	4	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	8	2	no	—
370	C₄	—	8	2	no	—
371	C₄	—	8	2	no	—
372	C₂	—	2	1	no	—
373	C₂	—	2	1	no	—
374	C₂	—	2	1	no	—
375	C₂	—	2	1	no	—
376	C₂	C₁₉×#1595	1	1	yes	characteristic
377	C₂	C₁₉×#1605	1	1	yes	characteristic
378	C₂	C₁₉×#1610	1	1	yes	characteristic
379	C₂	C₁₉×#1614	1	1	yes	characteristic
380	C₂	C₁₉×#2057	1	1	yes	characteristic
381	C₂	C₁₉×#2060	1	1	yes	characteristic
382	C₂	C₁₉×#2062	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	#120
commutator, Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
prime radical	C₂⁴×C₁₉	C₂×D₄
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
42. C₁₉×C₂²⋊C₈	Q₈	semidirect
48. C₁₉×#95	Q₈	semidirect
99. #10567	C₁₉	direct (N × H)
233. C₂²⋊C₈	Q₈×C₁₉	semidirect
239. #95	Q₈×C₁₉	semidirect
240. C₁₉	#10567	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#2659	2
C₁₉×#1852	2
C₁₉×#1444	2
C₁₉×#1294	2
C₁₉×#1280	2
#10567	19

Subgroups — C19×#10567 #18016526

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10567 #18016526