Subgroups — C₁₉×#13850 #18019809

Order 4864.

1790 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄×Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₄⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#376	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1446	C₂	1	2	yes	maximal
5	C₁₉×#1445	C₂	1	2	yes	maximal
6	C₁₉×#1441	C₂	1	4	yes	maximal
7	C₄×C₁₉×#95	C₂	1	4	yes	maximal
8	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
9	C₂×C₄×Q₈×C₁₉	—	2	4	no	—
10	C₂×C₄×Q₈×C₁₉	—	2	4	no	—
11	C₂×C₄×Q₈×C₁₉	C₄	1	8	yes	complemented
12	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
14	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×C₄²×C₁₉	C₂²	1	2	yes	—
16	C₂²×C₄²×C₁₉	C₂²	1	2	yes	—
17	C₂²×C₄²×C₁₉	C₂²	1	2	yes	—
18	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	C₄×C₄⋊C₄×C₁₉	—	2	4	no	—
20	C₁₉×#376	—	2	4	no	—
21	C₂×C₁₉×#95	C₂²	1	8	yes	—
22	C₂×C₁₉×#95	C₂²	1	8	yes	—
23	C₂×C₁₉×#95	C₂²	1	2	yes	—
24	C₂×C₁₉×#95	C₂²	1	2	yes	—
25	C₂×C₁₉×#95	C₂²	1	2	yes	—
26	C₂²×Q₈×C₁₉	—	2	2	no	—
27	C₂²×Q₈×C₁₉	—	2	2	no	—
28	C₂²×Q₈×C₁₉	—	2	8	no	—
29	C₂²×Q₈×C₁₉	C₂×C₄	1	4	yes	—
30	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
31	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
32	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
34	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
35	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
36	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₄×Q₈×C₁₉	—	2	32	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
40	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
41	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
42	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
43	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
44	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	8	yes	—
46	C₂×C₄²×C₁₉	—	2	4	no	—
47	C₂×C₄²×C₁₉	—	2	4	no	—
48	C₂×C₄²×C₁₉	—	2	4	no	—
49	C₂×C₄²×C₁₉	—	2	4	no	—
50	C₂×C₄²×C₁₉	—	2	4	no	—
51	C₂×C₄²×C₁₉	—	2	8	no	—
52	C₂×C₄²×C₁₉	C₂×C₄	1	8	yes	—
53	C₂×C₄²×C₁₉	C₂×C₄	1	4	yes	—
54	C₂×C₄²×C₁₉	D₄	1	4	yes	—
55	C₂×C₄²×C₁₉	D₄	1	4	yes	—
56	C₂×C₄²×C₁₉	Q₈	1	8	yes	complemented
57	C₁₉×#95	—	2	4	no	—
58	C₁₉×#95	—	2	4	no	—
59	C₁₉×#95	—	2	4	no	—
60	C₁₉×#95	—	2	16	no	—
61	C₁₉×#95	—	2	16	no	—
62	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
63	C₂×Q₈×C₁₉	—	2	16	no	—
64	C₂×Q₈×C₁₉	—	2	16	no	—
65	C₂×Q₈×C₁₉	—	2	8	no	—
66	C₂×Q₈×C₁₉	—	2	16	no	—
67	C₂²×C₄×C₁₉	—	2	2	no	—
68	C₂²×C₄×C₁₉	—	2	2	no	—
69	C₂²×C₄×C₁₉	—	2	4	no	—
70	C₂²×C₄×C₁₉	—	2	4	no	—
71	C₂²×C₄×C₁₉	—	2	4	no	—
72	C₂²×C₄×C₁₉	—	2	2	no	—
73	C₂²×C₄×C₁₉	—	2	2	no	—
74	C₂²×C₄×C₁₉	—	2	4	no	—
75	C₂²×C₄×C₁₉	—	2	4	no	—
76	C₂²×C₄×C₁₉	—	2	4	no	—
77	C₂²×C₄×C₁₉	—	2	8	no	—
78	C₂²×C₄×C₁₉	—	2	4	no	—
79	C₂²×C₄×C₁₉	—	2	8	no	—
80	C₂²×C₄×C₁₉	—	2	8	no	—
81	C₂²×C₄×C₁₉	—	2	8	no	—
82	C₂²×C₄×C₁₉	—	2	8	no	—
83	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
84	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
87	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₁₉	C₂×Q₈	1	8	yes	—
95	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
96	C₂²×C₄×C₁₉	#41	1	8	yes	—
97	C₂²×C₄×C₁₉	#41	1	8	yes	—
98	C₂²×C₄×C₁₉	#41	1	4	yes	—
99	C₄⋊C₄×C₁₉	—	2	16	no	—
100	C₄⋊C₄×C₁₉	—	2	16	no	—
101	C₄⋊C₄×C₁₉	—	2	8	no	—
102	C₄²×C₁₉	—	2	16	no	—
103	C₄²×C₁₉	—	2	16	no	—
104	C₄²×C₁₉	—	4	8	no	—
105	C₄²×C₁₉	C₂²⋊C₄	1	16	yes	—
106	#13850	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
107	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
108	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
109	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
110	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
111	C₂³×C₁₉	C₂×#41	1	4	yes	—
112	C₂³×C₁₉	C₂×#41	1	2	yes	—
113	C₂³×C₁₉	C₂×#41	1	4	yes	—
114	Q₈×C₁₉	—	2	32	no	—
115	C₂×C₄×C₁₉	—	2	4	no	—
116	C₂×C₄×C₁₉	—	2	4	no	—
117	C₂×C₄×C₁₉	—	2	4	no	—
118	C₂×C₄×C₁₉	—	2	4	no	—
119	C₂×C₄×C₁₉	—	2	4	no	—
120	C₂×C₄×C₁₉	—	2	4	no	—
121	C₂×C₄×C₁₉	—	2	4	no	—
122	C₂×C₄×C₁₉	—	2	8	no	—
123	C₂×C₄×C₁₉	—	2	8	no	—
124	C₂×C₄×C₁₉	—	2	4	no	—
125	C₂×C₄×C₁₉	—	2	4	no	—
126	C₂×C₄×C₁₉	—	2	8	no	—
127	C₂×C₄×C₁₉	—	2	8	no	—
128	C₂×C₄×C₁₉	—	2	8	no	—
129	C₂×C₄×C₁₉	—	2	16	no	—
130	C₂×C₄×C₁₉	—	2	16	no	—
131	C₂×C₄×C₁₉	—	4	4	no	—
132	C₂×C₄×C₁₉	—	4	4	no	—
133	C₂×C₄×C₁₉	—	4	4	no	—
134	C₂×C₄×C₁₉	—	4	4	no	—
135	C₂×C₄×C₁₉	—	4	8	no	—
136	C₂×C₄×C₁₉	—	4	8	no	—
137	C₂×C₄×C₁₉	—	4	4	no	—
138	C₂×C₄×C₁₉	—	4	4	no	—
139	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
140	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
141	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
142	C₂×C₄×C₁₉	#117	1	8	yes	—
143	C₂×C₄×C₁₉	C₄×Q₈	1	8	yes	—
144	C₂×C₄×C₁₉	C₂²⋊Q₈	1	8	yes	—
145	C₂×C₄×C₁₉	#124	1	4	yes	—
146	C₂×C₄×C₁₉	C₄⋊Q₈	1	4	yes	—
147	C₂²×C₄×Q₈	C₂×C₁₉	1	1	yes	characteristic
148	C₂×C₄×C₄⋊C₄	C₂×C₁₉	1	1	yes	characteristic
149	C₂×#376	C₂×C₁₉	1	1	yes	characteristic
150	#1446	C₂×C₁₉	1	2	yes	—
151	#1445	C₂×C₁₉	1	2	yes	—
152	#1441	C₂×C₁₉	1	4	yes	—
153	C₄×#95	C₂×C₁₉	1	4	yes	—
154	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
155	C₂²×C₁₉	C₂×#117	1	2	yes	—
156	C₂²×C₁₉	C₂×C₄×Q₈	1	2	yes	—
157	C₂²×C₁₉	C₄×#41	1	2	yes	—
158	C₂²×C₁₉	C₂×C₂²⋊Q₈	1	2	yes	—
159	C₂²×C₁₉	#525	1	2	yes	—
160	C₂²×C₁₉	#525	1	2	yes	—
161	C₂²×C₁₉	#525	1	2	yes	—
162	C₂²×C₁₉	C₂×#124	1	1	yes	characteristic
163	C₂²×C₁₉	#529	1	8	yes	—
164	C₂²×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
165	C₂²×C₁₉	#532	1	2	yes	—
166	C₂²×C₁₉	#533	1	8	yes	—
167	C₄×C₁₉	—	2	4	no	—
168	C₄×C₁₉	—	2	8	no	—
169	C₄×C₁₉	—	2	4	no	—
170	C₄×C₁₉	—	4	8	no	—
171	C₄×C₁₉	—	4	8	no	—
172	C₄×C₁₉	—	4	4	no	—
173	C₄×C₁₉	#391	1	8	yes	—
174	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
175	C₂×C₄×Q₈	—	2	4	no	—
176	C₂×C₄×Q₈	—	2	4	no	—
177	C₂×C₄×Q₈	C₄×C₁₉	1	8	yes	complemented
178	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
179	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
180	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
181	C₂²×C₄²	C₂²×C₁₉	1	2	yes	—
182	C₂²×C₄²	C₂²×C₁₉	1	2	yes	—
183	C₂²×C₄²	C₂²×C₁₉	1	2	yes	—
184	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
185	C₄×C₄⋊C₄	—	2	4	no	—
186	#376	—	2	4	no	—
187	C₂×#95	C₂²×C₁₉	1	8	yes	—
188	C₂×#95	C₂²×C₁₉	1	8	yes	—
189	C₂×#95	C₂²×C₁₉	1	2	yes	—
190	C₂×#95	C₂²×C₁₉	1	2	yes	—
191	C₂×#95	C₂²×C₁₉	1	2	yes	—
192	C₂×C₁₉	#2280	1	1	yes	characteristic
193	C₂×C₁₉	C₂×#391	1	1	yes	characteristic
194	C₂×C₁₉	#2295	1	4	yes	—
195	C₂×C₁₉	#2297	1	1	yes	characteristic
196	C₂×C₁₉	#2396	1	4	yes	—
197	C₂×C₁₉	#2398	1	2	yes	—
198	C₂×C₁₉	#2399	1	2	yes	—
199	C₂²×Q₈	—	2	2	no	—
200	C₂²×Q₈	—	2	2	no	—
201	C₂²×Q₈	—	2	8	no	—
202	C₂²×Q₈	C₂×C₄×C₁₉	1	4	yes	—
203	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
204	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
205	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
206	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
207	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
208	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
209	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
210	C₄×Q₈	—	2	32	no	—
211	C₂×C₄⋊C₄	—	2	4	no	—
212	C₂×C₄⋊C₄	—	2	4	no	—
213	C₂×C₄⋊C₄	—	2	2	no	—
214	C₂×C₄⋊C₄	—	2	2	no	—
215	C₂×C₄⋊C₄	—	2	4	no	—
216	C₂×C₄⋊C₄	—	2	8	no	—
217	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
218	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	8	yes	—
219	C₂×C₄²	—	2	4	no	—
220	C₂×C₄²	—	2	4	no	—
221	C₂×C₄²	—	2	4	no	—
222	C₂×C₄²	—	2	4	no	—
223	C₂×C₄²	—	2	4	no	—
224	C₂×C₄²	—	2	8	no	—
225	C₂×C₄²	C₂×C₄×C₁₉	1	8	yes	—
226	C₂×C₄²	C₂×C₄×C₁₉	1	4	yes	—
227	C₂×C₄²	D₄×C₁₉	1	4	yes	—
228	C₂×C₄²	D₄×C₁₉	1	4	yes	—
229	C₂×C₄²	Q₈×C₁₉	1	8	yes	complemented
230	#95	—	2	4	no	—
231	#95	—	2	4	no	—
232	#95	—	2	4	no	—
233	#95	—	2	16	no	—
234	#95	—	2	16	no	—
235	C₁₉	#13850	1	1	yes	characteristic, direct product factor, Sylow
236	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
237	C₂×Q₈	—	2	16	no	—
238	C₂×Q₈	—	2	16	no	—
239	C₂×Q₈	—	2	8	no	—
240	C₂×Q₈	—	2	16	no	—
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	2	8	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	—	2	8	no	—
256	C₂²×C₄	—	2	4	no	—
257	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
258	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
259	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
260	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
261	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
262	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
263	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
264	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
265	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
266	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
267	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
268	C₂²×C₄	C₂×Q₈×C₁₉	1	8	yes	—
269	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
270	C₂²×C₄	#41×C₁₉	1	8	yes	—
271	C₂²×C₄	#41×C₁₉	1	8	yes	—
272	C₂²×C₄	#41×C₁₉	1	4	yes	—
273	C₄⋊C₄	—	2	16	no	—
274	C₄⋊C₄	—	2	16	no	—
275	C₄⋊C₄	—	2	8	no	—
276	C₄²	—	2	16	no	—
277	C₄²	—	2	16	no	—
278	C₄²	—	4	8	no	—
279	C₄²	C₂²⋊C₄×C₁₉	1	16	yes	—
280	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
281	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
282	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
283	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
284	C₂³	C₂×#41×C₁₉	1	4	yes	—
285	C₂³	C₂×#41×C₁₉	1	2	yes	—
286	C₂³	C₂×#41×C₁₉	1	4	yes	—
287	Q₈	—	2	32	no	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	4	no	—
290	C₂×C₄	—	2	4	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	8	no	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	4	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	8	no	—
301	C₂×C₄	—	2	8	no	—
302	C₂×C₄	—	2	16	no	—
303	C₂×C₄	—	2	16	no	—
304	C₂×C₄	—	4	4	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	8	no	—
309	C₂×C₄	—	4	8	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
313	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
314	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
315	C₂×C₄	C₁₉×#117	1	8	yes	—
316	C₂×C₄	C₄×Q₈×C₁₉	1	8	yes	—
317	C₂×C₄	C₁₉×C₂²⋊Q₈	1	8	yes	—
318	C₂×C₄	C₁₉×#124	1	4	yes	—
319	C₂×C₄	C₁₉×C₄⋊Q₈	1	4	yes	—
320	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
321	C₂²	C₂×C₁₉×#117	1	2	yes	—
322	C₂²	C₂×C₄×Q₈×C₁₉	1	2	yes	—
323	C₂²	C₄×#41×C₁₉	1	2	yes	—
324	C₂²	C₂×C₁₉×C₂²⋊Q₈	1	2	yes	—
325	C₂²	C₁₉×#525	1	2	yes	—
326	C₂²	C₁₉×#525	1	2	yes	—
327	C₂²	C₁₉×#525	1	2	yes	—
328	C₂²	C₂×C₁₉×#124	1	1	yes	characteristic
329	C₂²	C₁₉×#529	1	8	yes	—
330	C₂²	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
331	C₂²	C₁₉×#532	1	2	yes	—
332	C₂²	C₁₉×#533	1	8	yes	—
333	C₄	—	2	4	no	—
334	C₄	—	2	8	no	—
335	C₄	—	2	4	no	—
336	C₄	—	4	4	no	—
337	C₄	—	4	8	no	—
338	C₄	—	4	8	no	—
339	C₄	C₁₉×#391	1	8	yes	—
340	C₂	C₁₉×#2280	1	1	yes	characteristic
341	C₂	C₂×C₁₉×#391	1	1	yes	characteristic
342	C₂	C₁₉×#2295	1	4	yes	—
343	C₂	C₁₉×#2297	1	1	yes	characteristic
344	C₂	C₁₉×#2396	1	4	yes	—
345	C₂	C₁₉×#2398	1	2	yes	—
346	C₂	C₁₉×#2399	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
11. C₂×C₄×Q₈×C₁₉	C₄	semidirect
56. C₂×C₄²×C₁₉	Q₈	semidirect
106. #13850	C₁₉	direct (N × H)
177. C₂×C₄×Q₈	C₄×C₁₉	semidirect
229. C₂×C₄²	Q₈×C₁₉	semidirect
235. C₁₉	#13850	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₄×Q₈×C₁₉	2
C₂×C₄×C₄⋊C₄×C₁₉	2
C₂×C₁₉×#376	2
C₁₉×#1446	2
C₁₉×#1445	2
C₁₉×#1441	2
C₄×C₁₉×#95	2
#13850	19

Subgroups — C19×#13850 #18019809

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13850 #18019809