Subgroups — C₁₉×#9383 #18015342

Order 4864.

570 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2972	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2564	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1799	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1520	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1294	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
7	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
8	C₈×D₄×C₁₉	—	2	4	no	—
9	C₁₉×#431	—	2	1	no	—
10	C₂×C₁₉×#99	—	2	1	no	—
11	C₂×C₁₉×C₂²⋊C₈	—	2	1	no	—
12	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
13	C₁₉×#400	C₄	1	1	yes	characteristic, complemented
14	C₁₉×#399	C₄	1	1	yes	characteristic, complemented
15	C₁₉×#395	C₄	1	1	yes	characteristic, complemented
16	C₁₉×#393	C₄	1	1	yes	characteristic, complemented
17	C₁₉×#387	—	2	1	no	—
18	C₁₉×#386	—	2	1	no	—
19	C₁₉×#385	—	2	1	no	—
20	C₁₉×#380	—	2	1	no	—
21	C₁₉×#380	C₂²	1	2	yes	—
22	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
23	C₁₉×#342	—	2	1	no	—
24	C₁₉×#328	—	2	4	no	—
25	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
26	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
27	C₂³×C₄×C₁₉	—	2	1	no	—
28	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
30	C₂²×C₈×C₁₉	—	2	2	no	—
31	C₂²×C₈×C₁₉	—	2	2	no	—
32	C₁₉×C₂²⋊Q₈	—	2	2	no	—
33	C₁₉×C₂²⋊Q₈	—	2	2	no	—
34	C₄×D₄×C₁₉	—	2	2	no	—
35	C₄×D₄×C₁₉	—	2	2	no	—
36	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
37	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
40	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
43	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
44	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
45	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
46	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
49	C₁₉×C₄⋊C₈	—	2	2	no	—
50	C₁₉×#99	—	4	2	no	—
51	C₁₉×C₂²⋊C₈	—	2	2	no	—
52	C₁₉×C₂²⋊C₈	—	2	2	no	—
53	C₁₉×C₂²⋊C₈	D₄	1	4	yes	—
54	C₄×C₈×C₁₉	—	2	2	no	—
55	C₁₉×#95	—	2	1	no	—
56	C₁₉×#95	—	2	1	no	—
57	C₁₉×#95	—	2	1	no	—
58	C₁₉×#95	—	2	1	no	—
59	C₁₉×#95	—	2	1	no	—
60	C₁₉×#95	—	2	2	no	—
61	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
62	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
63	C₂⁴×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
64	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
65	C₂×Q₈×C₁₉	—	2	2	no	—
66	C₂×Q₈×C₁₉	—	8	1	no	—
67	C₂×D₄×C₁₉	—	2	2	no	—
68	C₂×D₄×C₁₉	—	2	2	no	—
69	C₂×D₄×C₁₉	SD₁₆	1	2	yes	—
70	C₂×D₄×C₁₉	Q₁₆	1	2	yes	—
71	C₂²×C₄×C₁₉	—	2	1	no	—
72	C₂²×C₄×C₁₉	—	2	1	no	—
73	C₂²×C₄×C₁₉	—	2	1	no	—
74	C₂²×C₄×C₁₉	—	2	1	no	—
75	C₂²×C₄×C₁₉	—	2	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	4	2	no	—
78	C₂²×C₄×C₁₉	—	4	2	no	—
79	C₂²×C₄×C₁₉	—	4	2	no	—
80	C₂²×C₄×C₁₉	—	8	1	no	—
81	C₂²×C₄×C₁₉	—	8	1	no	—
82	C₂²×C₄×C₁₉	—	8	1	no	—
83	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₉	#41	1	2	yes	—
90	C₂×C₈×C₁₉	—	2	4	no	—
91	C₂×C₈×C₁₉	—	8	2	no	—
92	C₂×C₈×C₁₉	—	8	2	no	—
93	C₄⋊C₄×C₁₉	—	2	2	no	—
94	C₄⋊C₄×C₁₉	—	2	2	no	—
95	C₄⋊C₄×C₁₉	—	4	2	no	—
96	C₄⋊C₄×C₁₉	—	4	1	no	—
97	C₄⋊C₄×C₁₉	—	4	1	no	—
98	C₄⋊C₄×C₁₉	—	8	1	no	—
99	C₄⋊C₄×C₁₉	—	8	2	no	—
100	C₂²⋊C₄×C₁₉	—	2	2	no	—
101	C₂²⋊C₄×C₁₉	—	2	2	no	—
102	C₂²⋊C₄×C₁₉	—	4	2	no	—
103	C₂²⋊C₄×C₁₉	—	4	2	no	—
104	C₂²⋊C₄×C₁₉	—	4	2	no	—
105	C₂²⋊C₄×C₁₉	—	4	2	no	—
106	C₂²⋊C₄×C₁₉	—	8	1	no	—
107	C₄²×C₁₉	—	2	1	no	—
108	C₄²×C₁₉	—	2	1	no	—
109	#9383	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
110	C₂³×C₁₉	—	2	1	no	—
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	4	1	no	—
113	C₂³×C₁₉	—	4	1	no	—
114	C₂³×C₁₉	—	4	1	no	—
115	C₂³×C₁₉	—	4	1	no	—
116	C₂³×C₁₉	#103	1	2	yes	—
117	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
118	C₂³×C₁₉	#121	1	2	yes	—
119	C₂³×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
120	C₂³×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
121	C₂³×C₁₉	#135	1	2	yes	—
122	Q₈×C₁₉	—	8	2	no	—
123	D₄×C₁₉	—	2	4	no	—
124	D₄×C₁₉	—	2	4	no	—
125	C₂×C₄×C₁₉	—	2	1	no	—
126	C₂×C₄×C₁₉	—	2	1	no	—
127	C₂×C₄×C₁₉	—	2	2	no	—
128	C₂×C₄×C₁₉	—	2	1	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	4	2	no	—
132	C₂×C₄×C₁₉	—	4	1	no	—
133	C₂×C₄×C₁₉	—	4	1	no	—
134	C₂×C₄×C₁₉	—	4	2	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	1	no	—
137	C₂×C₄×C₁₉	—	4	1	no	—
138	C₂×C₄×C₁₉	—	4	1	no	—
139	C₂×C₄×C₁₉	—	4	1	no	—
140	C₂×C₄×C₁₉	—	4	1	no	—
141	C₂×C₄×C₁₉	—	4	1	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	1	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	8	1	no	—
149	C₂×C₄×C₁₉	—	8	4	no	—
150	C₂×C₄×C₁₉	—	8	2	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	#103	1	2	yes	—
154	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
155	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
157	C₈×C₁₉	—	4	4	no	—
158	#2972	C₂×C₁₉	1	1	yes	characteristic
159	#2564	C₂×C₁₉	1	1	yes	characteristic
160	#1799	C₂×C₁₉	1	1	yes	characteristic
161	#1520	C₂×C₁₉	1	2	yes	complemented
162	#1294	C₂×C₁₉	1	2	yes	complemented
163	C₂²×C₁₉	—	2	1	no	—
164	C₂²×C₁₉	—	2	2	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	2	no	—
167	C₂²×C₁₉	—	2	2	no	—
168	C₂²×C₁₉	—	4	2	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	2	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	8	1	no	—
175	C₂²×C₁₉	#386	1	1	yes	characteristic
176	C₂²×C₁₉	C₂×#103	1	1	yes	characteristic
177	C₂²×C₁₉	#416	1	1	yes	characteristic
178	C₂²×C₁₉	#465	1	2	yes	—
179	C₂²×C₁₉	#467	1	2	yes	—
180	C₄×C₁₉	—	2	2	no	—
181	C₄×C₁₉	—	2	1	no	—
182	C₄×C₁₉	—	2	1	no	—
183	C₄×C₁₉	—	2	2	no	—
184	C₄×C₁₉	—	4	2	no	—
185	C₄×C₁₉	—	4	1	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	—	8	1	no	—
189	C₄×C₁₉	—	8	1	no	—
190	C₄×C₁₉	—	16	2	no	—
191	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
192	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
193	C₈×D₄	—	2	4	no	—
194	#431	—	2	1	no	—
195	C₂×#99	—	2	1	no	—
196	C₂×C₂²⋊C₈	—	2	1	no	—
197	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
198	#400	C₄×C₁₉	1	1	yes	characteristic, complemented
199	#399	C₄×C₁₉	1	1	yes	characteristic, complemented
200	#395	C₄×C₁₉	1	1	yes	characteristic, complemented
201	#393	C₄×C₁₉	1	1	yes	characteristic, complemented
202	#387	—	2	1	no	—
203	#386	—	2	1	no	—
204	#385	—	2	1	no	—
205	#380	—	2	1	no	—
206	#380	C₂²×C₁₉	1	2	yes	—
207	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
208	#342	—	2	1	no	—
209	#328	—	2	4	no	—
210	C₂×C₁₉	—	2	1	no	—
211	C₂×C₁₉	—	2	2	no	—
212	C₂×C₁₉	—	2	1	no	—
213	C₂×C₁₉	—	2	2	no	—
214	C₂×C₁₉	—	4	2	no	—
215	C₂×C₁₉	#1884	1	1	yes	characteristic
216	C₂×C₁₉	#1892	1	1	yes	characteristic
217	C₂×C₁₉	#1913	1	1	yes	characteristic
218	C₂²×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
219	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
220	C₂³×C₄	—	2	1	no	—
221	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
222	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
223	C₂²×C₈	—	2	2	no	—
224	C₂²×C₈	—	2	2	no	—
225	C₂²⋊Q₈	—	2	2	no	—
226	C₂²⋊Q₈	—	2	2	no	—
227	C₄×D₄	—	2	2	no	—
228	C₄×D₄	—	2	2	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	—	2	1	no	—
232	C₂×C₄⋊C₄	—	2	2	no	—
233	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
234	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
240	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
241	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
242	C₄⋊C₈	—	2	2	no	—
243	#99	—	4	2	no	—
244	C₂²⋊C₈	—	2	2	no	—
245	C₂²⋊C₈	—	2	2	no	—
246	C₂²⋊C₈	D₄×C₁₉	1	4	yes	—
247	C₄×C₈	—	2	2	no	—
248	#95	—	2	1	no	—
249	#95	—	2	1	no	—
250	#95	—	2	1	no	—
251	#95	—	2	1	no	—
252	#95	—	2	1	no	—
253	#95	—	2	2	no	—
254	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
255	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
256	C₁₉	#9383	1	1	yes	characteristic, direct product factor, Sylow
257	C₂⁴	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
258	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
259	C₂×Q₈	—	2	2	no	—
260	C₂×Q₈	—	8	1	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	SD₁₆×C₁₉	1	2	yes	—
264	C₂×D₄	Q₁₆×C₁₉	1	2	yes	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	1	no	—
271	C₂²×C₄	—	4	2	no	—
272	C₂²×C₄	—	4	2	no	—
273	C₂²×C₄	—	4	2	no	—
274	C₂²×C₄	—	8	1	no	—
275	C₂²×C₄	—	8	1	no	—
276	C₂²×C₄	—	8	1	no	—
277	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
278	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
279	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
280	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
281	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
282	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
283	C₂²×C₄	#41×C₁₉	1	2	yes	—
284	C₂×C₈	—	2	4	no	—
285	C₂×C₈	—	8	2	no	—
286	C₂×C₈	—	8	2	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	1	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	—	8	1	no	—
293	C₄⋊C₄	—	8	2	no	—
294	C₂²⋊C₄	—	2	2	no	—
295	C₂²⋊C₄	—	2	2	no	—
296	C₂²⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	2	no	—
298	C₂²⋊C₄	—	4	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	8	1	no	—
301	C₄²	—	2	1	no	—
302	C₄²	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	2	1	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	—	4	1	no	—
308	C₂³	—	4	1	no	—
309	C₂³	C₁₉×#103	1	2	yes	—
310	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
311	C₂³	C₁₉×#121	1	2	yes	—
312	C₂³	C₂×SD₁₆×C₁₉	1	1	yes	characteristic
313	C₂³	C₂×Q₁₆×C₁₉	1	1	yes	characteristic
314	C₂³	C₁₉×#135	1	2	yes	—
315	Q₈	—	8	2	no	—
316	D₄	—	2	4	no	—
317	D₄	—	2	4	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	8	1	no	—
342	C₂×C₄	—	8	4	no	—
343	C₂×C₄	—	8	2	no	—
344	C₂×C₄	—	8	2	no	—
345	C₂×C₄	—	8	2	no	—
346	C₂×C₄	C₁₉×#103	1	2	yes	—
347	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
348	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
349	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
350	C₈	—	4	4	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	1	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	2	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	1	no	—
362	C₂²	—	8	1	no	—
363	C₂²	C₁₉×#386	1	1	yes	characteristic
364	C₂²	C₂×C₁₉×#103	1	1	yes	characteristic
365	C₂²	C₁₉×#416	1	1	yes	characteristic
366	C₂²	C₁₉×#465	1	2	yes	—
367	C₂²	C₁₉×#467	1	2	yes	—
368	C₄	—	2	2	no	—
369	C₄	—	2	1	no	—
370	C₄	—	2	1	no	—
371	C₄	—	2	2	no	—
372	C₄	—	4	2	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	8	1	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	1	no	—
378	C₄	—	16	2	no	—
379	C₂	—	2	1	no	—
380	C₂	—	2	2	no	—
381	C₂	—	2	1	no	—
382	C₂	—	2	2	no	—
383	C₂	—	4	2	no	—
384	C₂	C₁₉×#1884	1	1	yes	characteristic
385	C₂	C₁₉×#1892	1	1	yes	characteristic
386	C₂	C₁₉×#1913	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₂²×C₄	C₂²×C₄×C₁₉
Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
prime radical	C₂²×D₄×C₁₉	D₄
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1520	C₂	semidirect
5. C₁₉×#1294	C₂	semidirect
13. C₁₉×#400	C₄	semidirect
14. C₁₉×#399	C₄	semidirect
15. C₁₉×#395	C₄	semidirect
16. C₁₉×#393	C₄	semidirect
109. #9383	C₁₉	direct (N × H)
161. #1520	C₂×C₁₉	semidirect
162. #1294	C₂×C₁₉	semidirect
198. #400	C₄×C₁₉	semidirect
199. #399	C₄×C₁₉	semidirect
200. #395	C₄×C₁₉	semidirect
201. #393	C₄×C₁₉	semidirect
256. C₁₉	#9383	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×#2972	2
C₁₉×#2564	2
C₁₉×#1799	2
C₁₉×#1520	2
C₁₉×#1294	2
#9383	19

Subgroups — C19×#9383 #18015342

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9383 #18015342