Subgroups — C₁₉×#9377 #18015336

Order 4864.

434 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×#3239	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2992	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1981	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1556	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1509	C₂	1	1	yes	maximal, characteristic
6	C₁₉×#1290	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1285	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₁₉×#529	C₂²	1	1	yes	characteristic
10	C₁₉×#501	C₄	1	2	yes	complemented
11	C₁₉×#489	C₄	1	2	yes	complemented
12	C₁₉×#484	—	2	1	no	—
13	C₁₉×#481	—	2	1	no	—
14	C₁₉×#475	—	2	1	no	—
15	C₁₉×#474	—	2	1	no	—
16	C₁₉×#446	—	2	1	no	—
17	C₁₉×#435	—	2	1	no	—
18	C₁₉×#435	—	2	1	no	—
19	C₈×D₄×C₁₉	—	2	1	no	—
20	C₁₉×#433	—	2	1	no	—
21	C₁₉×#432	C₂²	1	1	yes	characteristic
22	C₁₉×#432	C₂²	1	1	yes	characteristic
23	C₁₉×#432	C₂²	1	1	yes	characteristic
24	C₁₉×#424	—	2	1	no	—
25	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×#103	—	2	1	no	—
27	C₂×C₁₉×#103	—	2	1	no	—
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#332	—	2	1	no	—
30	C₁₉×#332	—	2	1	no	—
31	C₁₉×#328	—	2	1	no	—
32	C₁₉×#327	—	2	1	no	—
33	C₂²×Q₈×C₁₉	—	2	1	no	—
34	C₂×M₁₆×C₁₉	—	2	1	no	—
35	C₂²×C₈×C₁₉	—	2	1	no	—
36	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
37	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	1	no	—
40	C₁₉×C₄⋊Q₈	—	2	1	no	—
41	C₁₉×C₄⋊Q₈	C₂×C₄	1	2	yes	—
42	C₁₉×#126	—	2	1	no	—
43	C₁₉×#125	C₂×C₄	1	1	yes	characteristic
44	C₁₉×#124	C₂×C₄	1	1	yes	characteristic
45	C₁₉×#123	—	2	1	no	—
46	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
47	C₁₉×#121	D₄	1	1	yes	characteristic
48	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
49	C₄×D₄×C₁₉	—	2	1	no	—
50	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
51	C₁₉×#117	—	2	1	no	—
52	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
55	C₂×C₄²×C₁₉	—	2	1	no	—
56	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
57	C₁₉×#107	—	2	2	no	—
58	C₁₉×#106	—	2	2	no	—
59	C₁₉×C₄⋊C₈	—	2	1	no	—
60	C₁₉×C₄⋊C₈	—	2	1	no	—
61	C₁₉×C₄⋊C₈	—	2	1	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	—	2	1	no	—
65	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
66	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
67	C₁₉×#103	—	2	2	no	—
68	C₁₉×#103	—	4	2	no	—
69	C₁₉×#103	—	4	2	no	—
70	C₁₉×#102	—	2	2	no	—
71	C₁₉×C₂²⋊C₈	—	2	1	no	—
72	C₁₉×C₂²⋊C₈	—	2	1	no	—
73	C₁₉×C₂²⋊C₈	—	2	1	no	—
74	C₁₉×C₂²⋊C₈	—	2	1	no	—
75	C₁₉×C₂²⋊C₈	—	2	1	no	—
76	C₁₉×#97	—	2	1	no	—
77	C₁₉×#97	—	2	1	no	—
78	C₁₉×#97	—	2	1	no	—
79	C₁₉×#97	C₂×C₄	1	2	yes	—
80	C₄×C₈×C₁₉	—	2	1	no	—
81	C₁₉×#95	—	2	1	no	—
82	C₂×Q₈×C₁₉	—	2	2	no	—
83	C₂×Q₈×C₁₉	—	4	1	no	—
84	C₂×Q₈×C₁₉	—	4	1	no	—
85	C₂×Q₈×C₁₉	—	4	1	no	—
86	C₂×Q₈×C₁₉	—	4	1	no	—
87	C₂×Q₈×C₁₉	—	4	1	no	—
88	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
89	C₂×D₄×C₁₉	—	2	1	no	—
90	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₉	—	2	1	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
97	M₁₆×C₁₉	—	8	1	no	—
98	C₂×C₈×C₁₉	—	2	2	no	—
99	C₂×C₈×C₁₉	—	2	1	no	—
100	C₂×C₈×C₁₉	—	2	1	no	—
101	C₂×C₈×C₁₉	—	2	1	no	—
102	C₂×C₈×C₁₉	—	2	1	no	—
103	C₂×C₈×C₁₉	—	4	1	no	—
104	C₂×C₈×C₁₉	—	4	1	no	—
105	C₂×C₈×C₁₉	—	4	1	no	—
106	C₂×C₈×C₁₉	—	8	1	no	—
107	C₄⋊C₄×C₁₉	—	2	1	no	—
108	C₄⋊C₄×C₁₉	—	2	1	no	—
109	C₄⋊C₄×C₁₉	—	2	1	no	—
110	C₄⋊C₄×C₁₉	—	2	1	no	—
111	C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₄⋊C₄×C₁₉	—	2	2	no	—
114	C₄⋊C₄×C₁₉	—	4	1	no	—
115	C₄⋊C₄×C₁₉	—	4	1	no	—
116	C₄⋊C₄×C₁₉	—	4	1	no	—
117	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
118	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
119	C₂²⋊C₄×C₁₉	—	2	1	no	—
120	C₂²⋊C₄×C₁₉	—	2	1	no	—
121	C₂²⋊C₄×C₁₉	—	2	1	no	—
122	C₂²⋊C₄×C₁₉	—	2	1	no	—
123	C₂²⋊C₄×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₄²×C₁₉	—	8	1	no	—
126	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
127	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₁₉	#41	1	1	yes	characteristic
130	#9377	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
131	C₂³×C₁₉	—	2	1	no	—
132	C₂³×C₁₉	#121	1	1	yes	characteristic
133	Q₈×C₁₉	—	4	1	no	—
134	Q₈×C₁₉	—	4	2	no	—
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	8	1	no	—
137	Q₈×C₁₉	—	8	1	no	—
138	D₄×C₁₉	—	4	1	no	—
139	D₄×C₁₉	—	4	1	no	—
140	D₄×C₁₉	—	4	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	2	1	no	—
143	C₂×C₄×C₁₉	—	2	1	no	—
144	C₂×C₄×C₁₉	—	2	1	no	—
145	C₂×C₄×C₁₉	—	2	1	no	—
146	C₂×C₄×C₁₉	—	2	1	no	—
147	C₂×C₄×C₁₉	—	2	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	1	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	2	no	—
152	C₂×C₄×C₁₉	—	4	2	no	—
153	C₂×C₄×C₁₉	—	8	1	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	—	8	1	no	—
156	C₂×C₄×C₁₉	—	8	1	no	—
157	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
163	C₈×C₁₉	—	4	2	no	—
164	C₈×C₁₉	—	4	1	no	—
165	C₈×C₁₉	—	4	1	no	—
166	C₈×C₁₉	—	4	1	no	—
167	C₈×C₁₉	—	4	1	no	—
168	C₈×C₁₉	—	8	1	no	—
169	#3239	C₂×C₁₉	1	1	yes	characteristic
170	#2992	C₂×C₁₉	1	1	yes	characteristic
171	#1981	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#1556	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#1509	C₂×C₁₉	1	1	yes	characteristic
174	#1290	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#1285	C₂×C₁₉	1	1	yes	characteristic, complemented
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	4	1	no	—
179	C₂²×C₁₉	—	4	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	#386	1	1	yes	characteristic
182	C₂²×C₁₉	#471	1	1	yes	characteristic
183	C₂²×C₁₉	#473	1	1	yes	characteristic
184	C₄×C₁₉	—	2	1	no	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	4	1	no	—
190	C₄×C₁₉	—	4	1	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	—	8	2	no	—
193	C₄×C₁₉	—	8	2	no	—
194	C₄×C₁₉	#453	1	1	yes	characteristic
195	C₄×C₁₉	#454	1	1	yes	characteristic
196	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
197	#529	C₂²×C₁₉	1	1	yes	characteristic
198	#501	C₄×C₁₉	1	2	yes	complemented
199	#489	C₄×C₁₉	1	2	yes	complemented
200	#484	—	2	1	no	—
201	#481	—	2	1	no	—
202	#475	—	2	1	no	—
203	#474	—	2	1	no	—
204	#446	—	2	1	no	—
205	#435	—	2	1	no	—
206	#435	—	2	1	no	—
207	C₈×D₄	—	2	1	no	—
208	#433	—	2	1	no	—
209	#432	C₂²×C₁₉	1	1	yes	characteristic
210	#432	C₂²×C₁₉	1	1	yes	characteristic
211	#432	C₂²×C₁₉	1	1	yes	characteristic
212	#424	—	2	1	no	—
213	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
214	C₂×#103	—	2	1	no	—
215	C₂×#103	—	2	1	no	—
216	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
217	#332	—	2	1	no	—
218	#332	—	2	1	no	—
219	#328	—	2	1	no	—
220	#327	—	2	1	no	—
221	C₂×C₁₉	—	2	1	no	—
222	C₂×C₁₉	—	2	1	no	—
223	C₂×C₁₉	—	8	1	no	—
224	C₂×C₁₉	#1883	1	1	yes	characteristic
225	C₂×C₁₉	#1908	1	1	yes	characteristic
226	C₂×C₁₉	#1909	1	1	yes	characteristic
227	C₂²×Q₈	—	2	1	no	—
228	C₂×M₁₆	—	2	1	no	—
229	C₂²×C₈	—	2	1	no	—
230	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
231	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
232	C₄⋊Q₈	—	2	1	no	—
233	C₄⋊Q₈	—	2	1	no	—
234	C₄⋊Q₈	—	2	1	no	—
235	C₄⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
236	#126	—	2	1	no	—
237	#125	C₂×C₄×C₁₉	1	1	yes	characteristic
238	#124	C₂×C₄×C₁₉	1	1	yes	characteristic
239	#123	—	2	1	no	—
240	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
241	#121	D₄×C₁₉	1	1	yes	characteristic
242	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
243	C₄×D₄	—	2	1	no	—
244	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
245	#117	—	2	1	no	—
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	1	no	—
248	C₂×C₄⋊C₄	—	2	1	no	—
249	C₂×C₄²	—	2	1	no	—
250	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
251	#107	—	2	2	no	—
252	#106	—	2	2	no	—
253	C₄⋊C₈	—	2	1	no	—
254	C₄⋊C₈	—	2	1	no	—
255	C₄⋊C₈	—	2	1	no	—
256	C₄⋊C₈	—	2	1	no	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	2	1	no	—
259	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
260	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
261	#103	—	2	2	no	—
262	#103	—	4	2	no	—
263	#103	—	4	2	no	—
264	#102	—	2	2	no	—
265	C₂²⋊C₈	—	2	1	no	—
266	C₂²⋊C₈	—	2	1	no	—
267	C₂²⋊C₈	—	2	1	no	—
268	C₂²⋊C₈	—	2	1	no	—
269	C₂²⋊C₈	—	2	1	no	—
270	#97	—	2	1	no	—
271	#97	—	2	1	no	—
272	#97	—	2	1	no	—
273	#97	C₂×C₄×C₁₉	1	2	yes	—
274	C₄×C₈	—	2	1	no	—
275	#95	—	2	1	no	—
276	C₁₉	#9377	1	1	yes	characteristic, direct product factor, Sylow
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	4	1	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×Q₈	—	4	1	no	—
281	C₂×Q₈	—	4	1	no	—
282	C₂×Q₈	—	4	1	no	—
283	C₂×Q₈	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	4	1	no	—
289	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
290	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
291	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
292	M₁₆	—	8	1	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	1	no	—
295	C₂×C₈	—	2	1	no	—
296	C₂×C₈	—	2	1	no	—
297	C₂×C₈	—	2	1	no	—
298	C₂×C₈	—	4	1	no	—
299	C₂×C₈	—	4	1	no	—
300	C₂×C₈	—	4	1	no	—
301	C₂×C₈	—	8	1	no	—
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
313	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	2	1	no	—
316	C₂²⋊C₄	—	2	1	no	—
317	C₂²⋊C₄	—	2	1	no	—
318	C₂²⋊C₄	—	2	1	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	8	1	no	—
321	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
322	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
323	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
324	C₄²	#41×C₁₉	1	1	yes	characteristic
325	C₂³	—	2	1	no	—
326	C₂³	C₁₉×#121	1	1	yes	characteristic
327	Q₈	—	4	1	no	—
328	Q₈	—	4	2	no	—
329	Q₈	—	4	2	no	—
330	Q₈	—	8	1	no	—
331	Q₈	—	8	1	no	—
332	D₄	—	4	1	no	—
333	D₄	—	4	1	no	—
334	D₄	—	4	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	8	1	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	1	no	—
350	C₂×C₄	—	8	1	no	—
351	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
352	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
353	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
354	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
355	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
357	C₈	—	4	2	no	—
358	C₈	—	4	1	no	—
359	C₈	—	4	1	no	—
360	C₈	—	4	1	no	—
361	C₈	—	4	1	no	—
362	C₈	—	8	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	4	1	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	4	1	no	—
368	C₂²	C₁₉×#386	1	1	yes	characteristic
369	C₂²	C₁₉×#471	1	1	yes	characteristic
370	C₂²	C₁₉×#473	1	1	yes	characteristic
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	2	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	8	2	no	—
380	C₄	—	8	2	no	—
381	C₄	C₁₉×#453	1	1	yes	characteristic
382	C₄	C₁₉×#454	1	1	yes	characteristic
383	C₂	—	2	1	no	—
384	C₂	—	2	1	no	—
385	C₂	—	8	1	no	—
386	C₂	C₁₉×#1883	1	1	yes	characteristic
387	C₂	C₁₉×#1908	1	1	yes	characteristic
388	C₂	C₁₉×#1909	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₄²	C₂²×C₄×C₁₉
Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#121	D₄
LCS	G ▷ 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
3. C₁₉×#1981	C₂	semidirect
4. C₁₉×#1556	C₂	semidirect
6. C₁₉×#1290	C₂	semidirect
7. C₁₉×#1285	C₂	semidirect
10. C₁₉×#501	C₄	semidirect
11. C₁₉×#489	C₄	semidirect
130. #9377	C₁₉	direct (N × H)
171. #1981	C₂×C₁₉	semidirect
172. #1556	C₂×C₁₉	semidirect
174. #1290	C₂×C₁₉	semidirect
175. #1285	C₂×C₁₉	semidirect
198. #501	C₄×C₁₉	semidirect
199. #489	C₄×C₁₉	semidirect
276. C₁₉	#9377	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×#3239	2
C₁₉×#2992	2
C₁₉×#1981	2
C₁₉×#1556	2
C₁₉×#1509	2
C₁₉×#1290	2
C₁₉×#1285	2
#9377	19

Subgroups — C19×#9377 #18015336

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9377 #18015336