Subgroups — C₁₉×#9385 #18015344

Order 4864.

548 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2973	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	C₁₉×#435	—	2	4	no	—
9	C₁₉×#432	—	2	1	no	—
10	C₂×C₁₉×#99	—	2	1	no	—
11	C₁₉×#407	—	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	C₂×M₁₆×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	C₁₉×#97	—	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	1	no	—
69	C₂×D₄×C₁₉	—	2	1	no	—
70	C₂×D₄×C₁₉	—	2	2	no	—
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	1	no	—
79	C₂²×C₄×C₁₉	—	4	1	no	—
80	C₂²×C₄×C₁₉	—	4	2	no	—
81	C₂²×C₄×C₁₉	—	8	1	no	—
82	C₂²×C₄×C₁₉	—	8	1	no	—
83	C₂²×C₄×C₁₉	—	8	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	#41	1	2	yes	—
91	M₁₆×C₁₉	—	8	2	no	—
92	C₂×C₈×C₁₉	—	2	4	no	—
93	C₂×C₈×C₁₉	—	8	2	no	—
94	C₄⋊C₄×C₁₉	—	2	2	no	—
95	C₄⋊C₄×C₁₉	—	2	2	no	—
96	C₄⋊C₄×C₁₉	—	4	2	no	—
97	C₄⋊C₄×C₁₉	—	4	1	no	—
98	C₄⋊C₄×C₁₉	—	4	1	no	—
99	C₄⋊C₄×C₁₉	—	8	1	no	—
100	C₄⋊C₄×C₁₉	—	8	2	no	—
101	C₂²⋊C₄×C₁₉	—	2	2	no	—
102	C₂²⋊C₄×C₁₉	—	2	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	—	4	2	no	—
107	C₂²⋊C₄×C₁₉	—	8	1	no	—
108	C₄²×C₁₉	—	2	1	no	—
109	C₄²×C₁₉	—	2	1	no	—
110	#9385	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	2	1	no	—
113	C₂³×C₁₉	—	2	1	no	—
114	C₂³×C₁₉	—	4	1	no	—
115	C₂³×C₁₉	—	4	1	no	—
116	C₂³×C₁₉	—	4	1	no	—
117	C₂³×C₁₉	—	4	1	no	—
118	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
119	C₂³×C₁₉	#121	1	2	yes	—
120	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
121	C₂³×C₁₉	#137	1	1	yes	characteristic
122	C₂³×C₁₉	#137	1	2	yes	—
123	Q₈×C₁₉	—	8	2	no	—
124	D₄×C₁₉	—	4	2	no	—
125	D₄×C₁₉	—	4	2	no	—
126	C₂×C₄×C₁₉	—	2	2	no	—
127	C₂×C₄×C₁₉	—	2	1	no	—
128	C₂×C₄×C₁₉	—	2	1	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	2	1	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	4	2	no	—
133	C₂×C₄×C₁₉	—	4	2	no	—
134	C₂×C₄×C₁₉	—	4	1	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	2	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	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	1	no	—
150	C₂×C₄×C₁₉	—	8	1	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	—	8	2	no	—
154	C₂×C₄×C₁₉	—	8	2	no	—
155	C₂×C₄×C₁₉	—	8	2	no	—
156	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
157	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
159	C₈×C₁₉	—	4	4	no	—
160	#2973	C₂×C₁₉	1	1	yes	characteristic
161	#2564	C₂×C₁₉	1	1	yes	characteristic
162	#1799	C₂×C₁₉	1	1	yes	characteristic
163	#1520	C₂×C₁₉	1	2	yes	complemented
164	#1294	C₂×C₁₉	1	2	yes	complemented
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	2	no	—
167	C₂²×C₁₉	—	2	1	no	—
168	C₂²×C₁₉	—	2	2	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	2	no	—
172	C₂²×C₁₉	—	4	2	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	4	1	no	—
175	C₂²×C₁₉	—	4	1	no	—
176	C₂²×C₁₉	—	8	1	no	—
177	C₂²×C₁₉	#386	1	1	yes	characteristic
178	C₂²×C₁₉	#417	1	1	yes	characteristic
179	C₂²×C₁₉	#419	1	1	yes	characteristic
180	C₂²×C₁₉	#468	1	2	yes	—
181	C₂²×C₁₉	#470	1	2	yes	—
182	C₄×C₁₉	—	2	1	no	—
183	C₄×C₁₉	—	2	1	no	—
184	C₄×C₁₉	—	2	2	no	—
185	C₄×C₁₉	—	4	2	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	—	4	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	—	8	1	no	—
190	C₄×C₁₉	—	8	1	no	—
191	C₄×C₁₉	—	8	1	no	—
192	C₄×C₁₉	—	16	2	no	—
193	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
194	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
195	#435	—	2	4	no	—
196	#432	—	2	1	no	—
197	C₂×#99	—	2	1	no	—
198	#407	—	2	1	no	—
199	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
200	#400	C₄×C₁₉	1	1	yes	characteristic, complemented
201	#399	C₄×C₁₉	1	1	yes	characteristic, complemented
202	#395	C₄×C₁₉	1	1	yes	characteristic, complemented
203	#393	C₄×C₁₉	1	1	yes	characteristic, complemented
204	#387	—	2	1	no	—
205	#386	—	2	1	no	—
206	#385	—	2	1	no	—
207	#380	—	2	1	no	—
208	#380	C₂²×C₁₉	1	2	yes	—
209	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
210	#342	—	2	1	no	—
211	#328	—	2	4	no	—
212	C₂×C₁₉	—	2	1	no	—
213	C₂×C₁₉	—	2	2	no	—
214	C₂×C₁₉	—	2	1	no	—
215	C₂×C₁₉	—	2	2	no	—
216	C₂×C₁₉	—	8	1	no	—
217	C₂×C₁₉	#1884	1	1	yes	characteristic
218	C₂×C₁₉	#1894	1	1	yes	characteristic
219	C₂×C₁₉	#1913	1	1	yes	characteristic
220	C₂²×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
221	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
222	C₂³×C₄	—	2	1	no	—
223	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
224	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
225	C₂×M₁₆	—	2	2	no	—
226	C₂²×C₈	—	2	2	no	—
227	C₂²⋊Q₈	—	2	2	no	—
228	C₂²⋊Q₈	—	2	2	no	—
229	C₄×D₄	—	2	2	no	—
230	C₄×D₄	—	2	2	no	—
231	C₂×C₄⋊C₄	—	2	1	no	—
232	C₂×C₄⋊C₄	—	2	1	no	—
233	C₂×C₄⋊C₄	—	2	1	no	—
234	C₂×C₄⋊C₄	—	2	2	no	—
235	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
236	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
237	C₂×C₂²⋊C₄	—	2	1	no	—
238	C₂×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
242	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
243	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
244	C₄⋊C₈	—	2	2	no	—
245	#99	—	4	2	no	—
246	C₂²⋊C₈	—	2	2	no	—
247	C₂²⋊C₈	—	2	2	no	—
248	C₂²⋊C₈	D₄×C₁₉	1	4	yes	—
249	#97	—	2	2	no	—
250	#95	—	2	1	no	—
251	#95	—	2	1	no	—
252	#95	—	2	1	no	—
253	#95	—	2	1	no	—
254	#95	—	2	1	no	—
255	#95	—	2	2	no	—
256	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
257	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
258	C₁₉	#9385	1	1	yes	characteristic, direct product factor, Sylow
259	C₂⁴	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
260	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
261	C₂×Q₈	—	2	2	no	—
262	C₂×Q₈	—	8	1	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	—	2	1	no	—
265	C₂×D₄	—	2	1	no	—
266	C₂×D₄	—	2	2	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	—	2	1	no	—
272	C₂²×C₄	—	2	1	no	—
273	C₂²×C₄	—	4	2	no	—
274	C₂²×C₄	—	4	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	—	4	2	no	—
277	C₂²×C₄	—	8	1	no	—
278	C₂²×C₄	—	8	1	no	—
279	C₂²×C₄	—	8	1	no	—
280	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
281	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
282	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
283	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
284	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
285	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
286	C₂²×C₄	#41×C₁₉	1	2	yes	—
287	M₁₆	—	8	2	no	—
288	C₂×C₈	—	2	4	no	—
289	C₂×C₈	—	8	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	4	2	no	—
293	C₄⋊C₄	—	4	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	8	1	no	—
296	C₄⋊C₄	—	8	2	no	—
297	C₂²⋊C₄	—	2	2	no	—
298	C₂²⋊C₄	—	2	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	2	no	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	8	1	no	—
304	C₄²	—	2	1	no	—
305	C₄²	—	2	1	no	—
306	C₂³	—	2	1	no	—
307	C₂³	—	2	1	no	—
308	C₂³	—	2	1	no	—
309	C₂³	—	4	1	no	—
310	C₂³	—	4	1	no	—
311	C₂³	—	4	1	no	—
312	C₂³	—	4	1	no	—
313	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
314	C₂³	C₁₉×#121	1	2	yes	—
315	C₂³	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
316	C₂³	C₁₉×#137	1	1	yes	characteristic
317	C₂³	C₁₉×#137	1	2	yes	—
318	Q₈	—	8	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	2	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	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	8	1	no	—
346	C₂×C₄	—	8	2	no	—
347	C₂×C₄	—	8	2	no	—
348	C₂×C₄	—	8	2	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	—	8	2	no	—
351	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
352	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
353	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
354	C₈	—	4	4	no	—
355	C₂²	—	2	1	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	2	1	no	—
358	C₂²	—	2	2	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	4	1	no	—
364	C₂²	—	4	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	8	1	no	—
367	C₂²	C₁₉×#386	1	1	yes	characteristic
368	C₂²	C₁₉×#417	1	1	yes	characteristic
369	C₂²	C₁₉×#419	1	1	yes	characteristic
370	C₂²	C₁₉×#468	1	2	yes	—
371	C₂²	C₁₉×#470	1	2	yes	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	2	no	—
375	C₄	—	4	2	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	8	1	no	—
380	C₄	—	8	1	no	—
381	C₄	—	8	1	no	—
382	C₄	—	16	2	no	—
383	C₂	—	2	1	no	—
384	C₂	—	2	2	no	—
385	C₂	—	2	1	no	—
386	C₂	—	2	2	no	—
387	C₂	—	8	1	no	—
388	C₂	C₁₉×#1884	1	1	yes	characteristic
389	C₂	C₁₉×#1894	1	1	yes	characteristic
390	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
110. #9385	C₁₉	direct (N × H)
163. #1520	C₂×C₁₉	semidirect
164. #1294	C₂×C₁₉	semidirect
200. #400	C₄×C₁₉	semidirect
201. #399	C₄×C₁₉	semidirect
202. #395	C₄×C₁₉	semidirect
203. #393	C₄×C₁₉	semidirect
258. C₁₉	#9385	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×#2973	2
C₁₉×#2564	2
C₁₉×#1799	2
C₁₉×#1520	2
C₁₉×#1294	2
#9385	19

Subgroups — C19×#9385 #18015344

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9385 #18015344