Subgroups — C₁₉×#17678 #18023637

Order 4864.

976 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3444	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#432	C₂	1	2	yes	maximal, complemented
3	C₁₉×#1537	C₂	1	2	yes	maximal, complemented
4	C₁₉×#1536	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1532	C₂	1	8	yes	maximal, complemented
6	C₁₉×#533	C₄	1	2	yes	—
7	C₁₉×#533	C₂²	1	1	yes	characteristic
8	C₁₉×#532	C₄	1	2	yes	—
9	C₁₉×#532	C₂²	1	1	yes	characteristic
10	C₁₉×#529	—	2	2	no	—
11	C₁₉×#529	—	2	2	no	—
12	C₁₉×#529	C₂²	1	4	yes	—
13	C₁₉×#525	—	2	2	no	—
14	C₁₉×#525	C₄	1	2	yes	—
15	C₄×#41×C₁₉	—	2	2	no	—
16	C₄×#41×C₁₉	C₄	1	2	yes	—
17	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#432	—	2	2	no	—
19	C₁₉×#432	—	2	2	no	—
20	C₁₉×#432	C₂²	1	4	yes	—
21	C₁₉×#432	C₂²	1	4	yes	—
22	C₂×C₁₉×C₄⋊C₈	—	2	2	no	—
23	C₂×C₁₉×C₂²⋊C₈	—	2	2	no	—
24	C₂×C₁₉×#97	C₂²	1	4	yes	—
25	C₁₉×#330	C₂²	1	8	yes	complemented
26	C₁₉×#329	C₂²	1	8	yes	complemented
27	C₂×#41×C₁₉	—	2	2	no	—
28	C₂×#41×C₁₉	C₂×C₄	1	2	yes	—
29	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₉	D₄	1	2	yes	—
31	C₂²×C₈×C₁₉	—	2	4	no	—
32	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
33	C₁₉×C₄⋊Q₈	C₂×C₄	1	2	yes	—
34	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
35	C₁₉×#126	—	2	4	no	—
36	C₁₉×#125	—	2	2	no	—
37	C₁₉×#125	C₂³	1	2	yes	—
38	C₁₉×#124	—	2	2	no	—
39	C₁₉×#124	C₂³	1	2	yes	—
40	C₁₉×#123	—	2	2	no	—
41	C₁₉×#123	—	2	4	no	—
42	C₁₉×C₂²⋊Q₈	—	2	2	no	—
43	C₁₉×C₂²⋊Q₈	—	2	2	no	—
44	C₁₉×C₂²⋊Q₈	C₂×C₄	1	4	yes	—
45	C₁₉×#121	—	2	2	no	—
46	C₁₉×#121	—	2	2	no	—
47	C₁₉×#121	C₂×C₄	1	4	yes	—
48	C₁₉×#120	—	2	2	no	—
49	C₄×Q₈×C₁₉	—	2	2	no	—
50	C₄×Q₈×C₁₉	—	2	2	no	—
51	C₄×Q₈×C₁₉	C₂×C₄	1	4	yes	—
52	C₄×D₄×C₁₉	—	2	4	no	—
53	C₄×D₄×C₁₉	—	2	4	no	—
54	C₄×D₄×C₁₉	—	2	4	no	—
55	C₄×D₄×C₁₉	—	2	2	no	—
56	C₄×D₄×C₁₉	—	2	2	no	—
57	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
58	C₁₉×#117	—	2	2	no	—
59	C₁₉×#117	—	2	2	no	—
60	C₁₉×#117	—	2	4	no	—
61	C₁₉×#117	C₂×C₄	1	2	yes	—
62	C₂×C₄²×C₁₉	—	2	2	no	—
63	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
64	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
65	C₂×C₄²×C₁₉	D₄	1	2	yes	—
66	C₂×C₄²×C₁₉	D₄	1	2	yes	—
67	C₂×C₄²×C₁₉	D₄	1	2	yes	—
68	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
69	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
70	C₁₉×C₄⋊C₈	—	2	4	no	—
71	C₁₉×C₄⋊C₈	—	2	4	no	—
72	C₁₉×C₂²⋊C₈	—	2	4	no	—
73	C₁₉×C₂²⋊C₈	—	2	4	no	—
74	C₁₉×#97	—	2	4	no	—
75	C₁₉×#97	C₂³	1	8	yes	—
76	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
77	#41×C₁₉	—	4	8	no	—
78	#41×C₁₉	—	4	4	no	—
79	C₂×Q₈×C₁₉	—	2	2	no	—
80	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
81	C₂×D₄×C₁₉	—	2	2	no	—
82	C₂×D₄×C₁₉	—	2	4	no	—
83	C₂×D₄×C₁₉	—	2	2	no	—
84	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₁₉	—	2	2	no	—
86	C₂²×C₄×C₁₉	—	2	4	no	—
87	C₂²×C₄×C₁₉	—	4	2	no	—
88	C₂²×C₄×C₁₉	—	4	4	no	—
89	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
90	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
91	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
92	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
93	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
99	C₂×C₈×C₁₉	—	2	8	no	—
100	C₂×C₈×C₁₉	—	4	8	no	—
101	C₄⋊C₄×C₁₉	—	2	2	no	—
102	C₄⋊C₄×C₁₉	—	2	2	no	—
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	4	no	—
105	C₄⋊C₄×C₁₉	—	2	4	no	—
106	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
107	C₂²⋊C₄×C₁₉	—	2	4	no	—
108	C₂²⋊C₄×C₁₉	—	2	2	no	—
109	C₂²⋊C₄×C₁₉	—	2	4	no	—
110	C₂²⋊C₄×C₁₉	—	2	4	no	—
111	C₂²⋊C₄×C₁₉	—	2	4	no	—
112	C₄²×C₁₉	—	2	4	no	—
113	C₄²×C₁₉	—	2	2	no	—
114	C₄²×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
115	C₄²×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
116	C₄²×C₁₉	C₂²⋊C₄	1	2	yes	—
117	C₄²×C₁₉	C₂²⋊C₄	1	2	yes	—
118	C₄²×C₁₉	C₂²×C₄	1	2	yes	—
119	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
120	C₄²×C₁₉	C₂×D₄	1	2	yes	—
121	C₄²×C₁₉	C₂×D₄	1	2	yes	—
122	C₄²×C₁₉	C₂×D₄	1	2	yes	—
123	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
124	#17678	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂³×C₁₉	—	2	4	no	—
126	C₂³×C₁₉	—	2	2	no	—
127	C₂³×C₁₉	—	4	1	no	—
128	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
130	Q₈×C₁₉	—	4	2	no	—
131	Q₈×C₁₉	—	4	4	no	—
132	D₄×C₁₉	—	4	2	no	—
133	D₄×C₁₉	—	4	4	no	—
134	D₄×C₁₉	—	4	4	no	—
135	D₄×C₁₉	—	4	8	no	—
136	C₂×C₄×C₁₉	—	2	4	no	—
137	C₂×C₄×C₁₉	—	2	4	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	2	2	no	—
141	C₂×C₄×C₁₉	—	2	4	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	—	4	2	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	no	—
148	C₂×C₄×C₁₉	—	4	8	no	—
149	C₂×C₄×C₁₉	—	4	4	no	—
150	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
151	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
152	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
153	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
154	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
157	C₈×C₁₉	—	4	8	no	—
158	#3444	C₂×C₁₉	1	1	yes	characteristic
159	C₂×#432	C₂×C₁₉	1	2	yes	complemented
160	#1537	C₂×C₁₉	1	2	yes	complemented
161	#1536	C₂×C₁₉	1	2	yes	complemented
162	#1532	C₂×C₁₉	1	8	yes	complemented
163	C₂²×C₁₉	—	2	2	no	—
164	C₂²×C₁₉	—	2	2	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	2	no	—
167	C₂²×C₁₉	—	4	4	no	—
168	C₂²×C₁₉	—	4	2	no	—
169	C₂²×C₁₉	—	4	4	no	—
170	C₂²×C₁₉	#421	1	4	yes	—
171	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
172	C₄×C₁₉	—	2	2	no	—
173	C₄×C₁₉	—	2	1	no	—
174	C₄×C₁₉	—	2	2	no	—
175	C₄×C₁₉	—	2	2	no	—
176	C₄×C₁₉	—	2	2	no	—
177	C₄×C₁₉	—	2	2	no	—
178	C₄×C₁₉	—	4	2	no	—
179	C₄×C₁₉	—	4	4	no	—
180	C₄×C₁₉	#413	1	2	yes	—
181	#533	C₄×C₁₉	1	2	yes	—
182	#533	C₂²×C₁₉	1	1	yes	characteristic
183	#532	C₄×C₁₉	1	2	yes	—
184	#532	C₂²×C₁₉	1	1	yes	characteristic
185	#529	—	2	2	no	—
186	#529	—	2	2	no	—
187	#529	C₂²×C₁₉	1	4	yes	—
188	#525	—	2	2	no	—
189	#525	C₄×C₁₉	1	2	yes	—
190	C₄×#41	—	2	2	no	—
191	C₄×#41	C₄×C₁₉	1	2	yes	—
192	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
193	#432	—	2	2	no	—
194	#432	—	2	2	no	—
195	#432	C₂²×C₁₉	1	4	yes	—
196	#432	C₂²×C₁₉	1	4	yes	—
197	C₂×C₄⋊C₈	—	2	2	no	—
198	C₂×C₂²⋊C₈	—	2	2	no	—
199	C₂×#97	C₂²×C₁₉	1	4	yes	—
200	#330	C₂²×C₁₉	1	8	yes	complemented
201	#329	C₂²×C₁₉	1	8	yes	complemented
202	C₂×C₁₉	—	2	4	no	—
203	C₂×C₁₉	—	4	1	no	—
204	C₂×C₁₉	—	8	2	no	—
205	C₂×C₁₉	C₂×#413	1	1	yes	characteristic
206	C₂×C₁₉	C₂×#421	1	2	yes	—
207	C₂×#41	—	2	2	no	—
208	C₂×#41	C₂×C₄×C₁₉	1	2	yes	—
209	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
210	C₂³×C₄	D₄×C₁₉	1	2	yes	—
211	C₂²×C₈	—	2	4	no	—
212	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
213	C₄⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
214	#127	C₂×C₄×C₁₉	1	1	yes	characteristic
215	#126	—	2	4	no	—
216	#125	—	2	2	no	—
217	#125	C₂³×C₁₉	1	2	yes	—
218	#124	—	2	2	no	—
219	#124	C₂³×C₁₉	1	2	yes	—
220	#123	—	2	2	no	—
221	#123	—	2	4	no	—
222	C₂²⋊Q₈	—	2	2	no	—
223	C₂²⋊Q₈	—	2	2	no	—
224	C₂²⋊Q₈	C₂×C₄×C₁₉	1	4	yes	—
225	#121	—	2	2	no	—
226	#121	—	2	2	no	—
227	#121	C₂×C₄×C₁₉	1	4	yes	—
228	#120	—	2	2	no	—
229	C₄×Q₈	—	2	2	no	—
230	C₄×Q₈	—	2	2	no	—
231	C₄×Q₈	C₂×C₄×C₁₉	1	4	yes	—
232	C₄×D₄	—	2	4	no	—
233	C₄×D₄	—	2	4	no	—
234	C₄×D₄	—	2	4	no	—
235	C₄×D₄	—	2	2	no	—
236	C₄×D₄	—	2	2	no	—
237	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
238	#117	—	2	2	no	—
239	#117	—	2	2	no	—
240	#117	—	2	4	no	—
241	#117	C₂×C₄×C₁₉	1	2	yes	—
242	C₂×C₄²	—	2	2	no	—
243	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
244	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
245	C₂×C₄²	D₄×C₁₉	1	2	yes	—
246	C₂×C₄²	D₄×C₁₉	1	2	yes	—
247	C₂×C₄²	D₄×C₁₉	1	2	yes	—
248	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
249	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
250	C₄⋊C₈	—	2	4	no	—
251	C₄⋊C₈	—	2	4	no	—
252	C₂²⋊C₈	—	2	4	no	—
253	C₂²⋊C₈	—	2	4	no	—
254	#97	—	2	4	no	—
255	#97	C₂³×C₁₉	1	8	yes	—
256	C₁₉	#17678	1	1	yes	characteristic, direct product factor, Sylow
257	C₂⁴	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
258	#41	—	4	8	no	—
259	#41	—	4	4	no	—
260	C₂×Q₈	—	2	2	no	—
261	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	—	2	4	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	4	no	—
268	C₂²×C₄	—	4	2	no	—
269	C₂²×C₄	—	4	4	no	—
270	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
271	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
272	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
273	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
274	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
275	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
276	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
277	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
278	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
279	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
280	C₂×C₈	—	2	8	no	—
281	C₂×C₈	—	4	8	no	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	—	2	2	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	—	2	4	no	—
286	C₄⋊C₄	—	2	4	no	—
287	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
288	C₂²⋊C₄	—	2	4	no	—
289	C₂²⋊C₄	—	2	2	no	—
290	C₂²⋊C₄	—	2	4	no	—
291	C₂²⋊C₄	—	2	4	no	—
292	C₂²⋊C₄	—	2	4	no	—
293	C₄²	—	2	4	no	—
294	C₄²	—	2	2	no	—
295	C₄²	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
296	C₄²	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
297	C₄²	C₂²⋊C₄×C₁₉	1	2	yes	—
298	C₄²	C₂²⋊C₄×C₁₉	1	2	yes	—
299	C₄²	C₂²×C₄×C₁₉	1	2	yes	—
300	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
301	C₄²	C₂×D₄×C₁₉	1	2	yes	—
302	C₄²	C₂×D₄×C₁₉	1	2	yes	—
303	C₄²	C₂×D₄×C₁₉	1	2	yes	—
304	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
305	C₂³	—	2	4	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	4	1	no	—
308	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
309	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
310	Q₈	—	4	2	no	—
311	Q₈	—	4	4	no	—
312	D₄	—	4	2	no	—
313	D₄	—	4	4	no	—
314	D₄	—	4	4	no	—
315	D₄	—	4	8	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	2	4	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	4	1	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	8	no	—
329	C₂×C₄	—	4	4	no	—
330	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
331	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
332	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
333	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
334	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
335	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
336	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
337	C₈	—	4	8	no	—
338	C₂²	—	2	2	no	—
339	C₂²	—	2	2	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	2	no	—
342	C₂²	—	4	4	no	—
343	C₂²	—	4	2	no	—
344	C₂²	—	4	4	no	—
345	C₂²	C₁₉×#421	1	4	yes	—
346	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
347	C₄	—	2	2	no	—
348	C₄	—	2	1	no	—
349	C₄	—	2	2	no	—
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	2	2	no	—
353	C₄	—	4	2	no	—
354	C₄	—	4	4	no	—
355	C₄	C₁₉×#413	1	2	yes	—
356	C₂	—	2	4	no	—
357	C₂	—	4	1	no	—
358	C₂	—	8	2	no	—
359	C₂	C₂×C₁₉×#413	1	1	yes	characteristic
360	C₂	C₂×C₁₉×#421	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂²×C₂²⋊C₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₄²	C₂⁴×C₁₉
prime radical	C₁₉×#3444	C₂
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#432	C₂	semidirect
3. C₁₉×#1537	C₂	semidirect
4. C₁₉×#1536	C₂	semidirect
5. C₁₉×#1532	C₂	semidirect
25. C₁₉×#330	C₂²	semidirect
26. C₁₉×#329	C₂²	semidirect
124. #17678	C₁₉	direct (N × H)
159. C₂×#432	C₂×C₁₉	semidirect
160. #1537	C₂×C₁₉	semidirect
161. #1536	C₂×C₁₉	semidirect
162. #1532	C₂×C₁₉	semidirect
200. #330	C₂²×C₁₉	semidirect
201. #329	C₂²×C₁₉	semidirect
256. C₁₉	#17678	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×#3444	2
C₂×C₁₉×#432	2
C₁₉×#1537	2
C₁₉×#1536	2
C₁₉×#1532	2
#17678	19

Subgroups — C19×#17678 #18023637

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#17678 #18023637