Subgroups — C₁₉×#10249 #18016208

Order 4864.

536 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3230	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3077	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2563	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1549	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1503	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1478	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1303	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#533	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
11	C₁₉×#500	—	2	1	no	—
12	C₁₉×#487	—	2	1	no	—
13	C₁₉×#484	—	2	2	no	—
14	C₁₉×#478	—	2	2	no	—
15	C₁₉×#477	—	2	2	no	—
16	C₁₉×#476	—	2	1	no	—
17	C₁₉×#474	—	2	1	no	—
18	C₁₉×#431	C₂²	1	1	yes	characteristic
19	C₁₉×#431	C₂²	1	1	yes	characteristic
20	C₁₉×#428	—	2	1	no	—
21	C₁₉×#423	C₂²	1	1	yes	characteristic
22	C₁₉×#418	—	2	1	no	—
23	C₁₉×#393	—	2	2	no	—
24	C₁₉×#390	—	2	1	no	—
25	C₁₉×#382	—	2	1	no	—
26	C₁₉×#380	—	2	2	no	—
27	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#332	—	2	2	no	—
29	C₁₉×#328	—	2	2	no	—
30	C₁₉×D₄⋊C₈	—	2	2	no	—
31	C₂²×Q₈×C₁₉	—	2	1	no	—
32	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₁₉	—	2	1	no	—
34	C₂×M₁₆×C₁₉	—	2	1	no	—
35	C₁₉×C₄⋊Q₈	—	2	1	no	—
36	C₁₉×C₄⋊Q₈	—	2	1	no	—
37	C₁₉×C₄⋊Q₈	—	2	1	no	—
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
40	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
41	C₁₉×#125	—	2	1	no	—
42	C₁₉×C₂²⋊Q₈	—	2	1	no	—
43	C₁₉×C₂²⋊Q₈	—	2	1	no	—
44	C₄×Q₈×C₁₉	—	2	1	no	—
45	C₄×Q₈×C₁₉	—	2	1	no	—
46	C₄×D₄×C₁₉	—	2	1	no	—
47	C₄×D₄×C₁₉	—	2	1	no	—
48	C₄×D₄×C₁₉	—	2	1	no	—
49	C₄×D₄×C₁₉	—	2	1	no	—
50	C₁₉×#117	—	2	1	no	—
51	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
52	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
54	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
56	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
57	C₂×C₄²×C₁₉	—	2	1	no	—
58	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
59	C₁₉×#107	—	2	2	no	—
60	C₁₉×#107	—	2	4	no	—
61	C₁₉×#106	—	2	2	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
65	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
66	C₁₉×#103	—	2	4	no	—
67	C₁₉×#102	—	2	2	no	—
68	C₁₉×#102	—	2	2	no	—
69	C₁₉×C₂²⋊C₈	—	2	1	no	—
70	C₁₉×C₂²⋊C₈	—	2	1	no	—
71	C₄×C₈×C₁₉	—	2	1	no	—
72	C₄×C₈×C₁₉	—	2	1	no	—
73	C₁₉×#95	—	2	4	no	—
74	C₁₉×#95	D₄	1	2	yes	—
75	C₂⁴×C₁₉	—	2	1	no	—
76	C₂×Q₈×C₁₉	—	2	1	no	—
77	C₂×Q₈×C₁₉	—	2	1	no	—
78	C₂×Q₈×C₁₉	—	4	1	no	—
79	C₂×Q₈×C₁₉	—	4	1	no	—
80	C₂×Q₈×C₁₉	—	8	2	no	—
81	C₂×D₄×C₁₉	—	2	1	no	—
82	C₂×D₄×C₁₉	—	2	1	no	—
83	C₂×D₄×C₁₉	—	2	1	no	—
84	C₂×D₄×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	Q₁₆	1	2	yes	—
87	C₂²×C₄×C₁₉	—	2	2	no	—
88	C₂²×C₄×C₁₉	—	2	2	no	—
89	C₂²×C₄×C₁₉	—	2	1	no	—
90	C₂²×C₄×C₁₉	—	4	4	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	M₁₆×C₁₉	—	4	1	no	—
97	M₁₆×C₁₉	—	4	1	no	—
98	C₂×C₈×C₁₉	—	2	2	no	—
99	C₂×C₈×C₁₉	—	2	2	no	—
100	C₂×C₈×C₁₉	—	4	1	no	—
101	C₄⋊C₄×C₁₉	—	2	1	no	—
102	C₄⋊C₄×C₁₉	—	2	2	no	—
103	C₄⋊C₄×C₁₉	—	2	1	no	—
104	C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	—	2	1	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	1	no	—
109	C₄⋊C₄×C₁₉	—	4	2	no	—
110	C₄⋊C₄×C₁₉	—	4	1	no	—
111	C₄⋊C₄×C₁₉	—	4	1	no	—
112	C₄⋊C₄×C₁₉	—	4	1	no	—
113	C₄⋊C₄×C₁₉	—	4	1	no	—
114	C₂²⋊C₄×C₁₉	—	4	1	no	—
115	C₂²⋊C₄×C₁₉	—	4	1	no	—
116	C₂²⋊C₄×C₁₉	—	4	1	no	—
117	C₂²⋊C₄×C₁₉	—	8	4	no	—
118	C₄²×C₁₉	—	4	1	no	—
119	C₄²×C₁₉	—	4	1	no	—
120	C₄²×C₁₉	—	4	1	no	—
121	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₁₉	#41	1	1	yes	characteristic
125	#10249	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
126	C₂³×C₁₉	—	2	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	4	2	no	—
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	#120	1	1	yes	characteristic
132	Q₈×C₁₉	—	4	2	no	—
133	Q₈×C₁₉	—	8	1	no	—
134	Q₈×C₁₉	—	8	2	no	—
135	Q₈×C₁₉	—	8	2	no	—
136	D₄×C₁₉	—	2	2	no	—
137	D₄×C₁₉	—	2	2	no	—
138	D₄×C₁₉	—	4	1	no	—
139	D₄×C₁₉	—	4	1	no	—
140	C₂×C₄×C₁₉	—	2	2	no	—
141	C₂×C₄×C₁₉	—	4	1	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	4	2	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
155	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
159	C₂×C₄×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
163	C₈×C₁₉	—	4	2	no	—
164	C₈×C₁₉	—	4	2	no	—
165	C₈×C₁₉	—	8	1	no	—
166	#3230	C₂×C₁₉	1	1	yes	characteristic, complemented
167	#3077	C₂×C₁₉	1	1	yes	characteristic
168	#2563	C₂×C₁₉	1	1	yes	characteristic
169	#1549	C₂×C₁₉	1	1	yes	characteristic, complemented
170	#1503	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#1478	C₂×C₁₉	1	1	yes	characteristic
172	#1303	C₂×C₁₉	1	1	yes	characteristic, complemented
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	4	4	no	—
176	C₂²×C₁₉	—	4	2	no	—
177	C₂²×C₁₉	—	8	2	no	—
178	C₂²×C₁₉	—	8	1	no	—
179	C₂²×C₁₉	—	8	1	no	—
180	C₂²×C₁₉	#392	1	1	yes	characteristic
181	C₂²×C₁₉	#451	1	1	yes	characteristic
182	C₂²×C₁₉	#452	1	1	yes	characteristic
183	C₄×C₁₉	—	2	1	no	—
184	C₄×C₁₉	—	2	1	no	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	8	2	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	—	8	1	no	—
189	C₄×C₁₉	—	8	2	no	—
190	C₄×C₁₉	—	8	1	no	—
191	C₄×C₁₉	#451	1	1	yes	characteristic
192	C₄×C₁₉	#452	1	1	yes	characteristic
193	C₄×C₁₉	#454	1	2	yes	—
194	C₄×C₁₉	#467	1	1	yes	characteristic
195	C₄×C₁₉	#470	1	1	yes	characteristic
196	#533	C₂²×C₁₉	1	1	yes	characteristic
197	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
199	#500	—	2	1	no	—
200	#487	—	2	1	no	—
201	#484	—	2	2	no	—
202	#478	—	2	2	no	—
203	#477	—	2	2	no	—
204	#476	—	2	1	no	—
205	#474	—	2	1	no	—
206	#431	C₂²×C₁₉	1	1	yes	characteristic
207	#431	C₂²×C₁₉	1	1	yes	characteristic
208	#428	—	2	1	no	—
209	#423	C₂²×C₁₉	1	1	yes	characteristic
210	#418	—	2	1	no	—
211	#393	—	2	2	no	—
212	#390	—	2	1	no	—
213	#382	—	2	1	no	—
214	#380	—	2	2	no	—
215	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
216	#332	—	2	2	no	—
217	#328	—	2	2	no	—
218	D₄⋊C₈	—	2	2	no	—
219	C₂×C₁₉	—	2	1	no	—
220	C₂×C₁₉	—	2	1	no	—
221	C₂×C₁₉	—	8	2	no	—
222	C₂×C₁₉	#2001	1	1	yes	characteristic
223	C₂×C₁₉	#2003	1	1	yes	characteristic
224	C₂×C₁₉	#2008	1	1	yes	characteristic
225	C₂²×Q₈	—	2	1	no	—
226	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
227	C₂³×C₄	—	2	1	no	—
228	C₂×M₁₆	—	2	1	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	—	2	1	no	—
231	C₄⋊Q₈	—	2	1	no	—
232	C₄⋊Q₈	—	2	1	no	—
233	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
234	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
235	#125	—	2	1	no	—
236	C₂²⋊Q₈	—	2	1	no	—
237	C₂²⋊Q₈	—	2	1	no	—
238	C₄×Q₈	—	2	1	no	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	—	2	1	no	—
242	C₄×D₄	—	2	1	no	—
243	C₄×D₄	—	2	1	no	—
244	#117	—	2	1	no	—
245	C₂×C₄⋊C₄	—	2	1	no	—
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
248	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
249	C₂×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₂²⋊C₄	—	2	4	no	—
251	C₂×C₄²	—	2	1	no	—
252	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
253	#107	—	2	2	no	—
254	#107	—	2	4	no	—
255	#106	—	2	2	no	—
256	C₄⋊C₈	—	2	1	no	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
259	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
260	#103	—	2	4	no	—
261	#102	—	2	2	no	—
262	#102	—	2	2	no	—
263	C₂²⋊C₈	—	2	1	no	—
264	C₂²⋊C₈	—	2	1	no	—
265	C₄×C₈	—	2	1	no	—
266	C₄×C₈	—	2	1	no	—
267	#95	—	2	4	no	—
268	#95	D₄×C₁₉	1	2	yes	—
269	C₁₉	#10249	1	1	yes	characteristic, direct product factor, Sylow
270	C₂⁴	—	2	1	no	—
271	C₂×Q₈	—	2	1	no	—
272	C₂×Q₈	—	2	1	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	1	no	—
275	C₂×Q₈	—	8	2	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	Q₁₆×C₁₉	1	2	yes	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	4	4	no	—
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
289	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
290	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
291	M₁₆	—	4	1	no	—
292	M₁₆	—	4	1	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	4	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	1	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	4	2	no	—
305	C₄⋊C₄	—	4	1	no	—
306	C₄⋊C₄	—	4	1	no	—
307	C₄⋊C₄	—	4	1	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₂²⋊C₄	—	4	1	no	—
310	C₂²⋊C₄	—	4	1	no	—
311	C₂²⋊C₄	—	4	1	no	—
312	C₂²⋊C₄	—	8	4	no	—
313	C₄²	—	4	1	no	—
314	C₄²	—	4	1	no	—
315	C₄²	—	4	1	no	—
316	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
317	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
318	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
319	C₄²	#41×C₁₉	1	1	yes	characteristic
320	C₂³	—	2	2	no	—
321	C₂³	—	4	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	—	4	1	no	—
324	C₂³	—	4	1	no	—
325	C₂³	C₁₉×#120	1	1	yes	characteristic
326	Q₈	—	4	2	no	—
327	Q₈	—	8	1	no	—
328	Q₈	—	8	2	no	—
329	Q₈	—	8	2	no	—
330	D₄	—	2	2	no	—
331	D₄	—	2	2	no	—
332	D₄	—	4	1	no	—
333	D₄	—	4	1	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	8	2	no	—
346	C₂×C₄	—	8	2	no	—
347	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
348	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
349	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
350	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
351	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
352	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
353	C₂×C₄	C₂×Q₁₆×C₁₉	1	1	yes	characteristic
354	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
355	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
357	C₈	—	4	2	no	—
358	C₈	—	4	2	no	—
359	C₈	—	8	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	4	4	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	1	no	—
367	C₂²	C₁₉×#392	1	1	yes	characteristic
368	C₂²	C₁₉×#451	1	1	yes	characteristic
369	C₂²	C₁₉×#452	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	8	2	no	—
374	C₄	—	8	1	no	—
375	C₄	—	8	1	no	—
376	C₄	—	8	2	no	—
377	C₄	—	8	1	no	—
378	C₄	C₁₉×#451	1	1	yes	characteristic
379	C₄	C₁₉×#452	1	1	yes	characteristic
380	C₄	C₁₉×#454	1	2	yes	—
381	C₄	C₁₉×#467	1	1	yes	characteristic
382	C₄	C₁₉×#470	1	1	yes	characteristic
383	C₂	—	2	1	no	—
384	C₂	—	2	1	no	—
385	C₂	—	8	2	no	—
386	C₂	C₁₉×#2001	1	1	yes	characteristic
387	C₂	C₁₉×#2003	1	1	yes	characteristic
388	C₂	C₁₉×#2008	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂²×D₄×C₁₉	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3230	C₂	semidirect
4. C₁₉×#1549	C₂	semidirect
5. C₁₉×#1503	C₂	semidirect
7. C₁₉×#1303	C₂	semidirect
125. #10249	C₁₉	direct (N × H)
166. #3230	C₂×C₁₉	semidirect
169. #1549	C₂×C₁₉	semidirect
170. #1503	C₂×C₁₉	semidirect
172. #1303	C₂×C₁₉	semidirect
269. C₁₉	#10249	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×#3230	2
C₁₉×#3077	2
C₁₉×#2563	2
C₁₉×#1549	2
C₁₉×#1503	2
C₁₉×#1478	2
C₁₉×#1303	2
#10249	19

Subgroups — C19×#10249 #18016208

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10249 #18016208