Subgroups — C₁₉×#18685 #18024644

Order 4864.

930 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×#3544	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3238	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#494	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1634	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1633	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1632	C₂	1	4	yes	maximal, complemented
7	C₁₉×#1558	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1494	C₂	1	2	yes	maximal, complemented
9	C₂²×Q₁₆×C₁₉	—	2	2	no	—
10	C₁₉×#563	—	2	2	no	—
11	Q₈²×C₁₉	C₂²	1	1	yes	characteristic
12	C₁₉×#555	C₂²	1	1	yes	characteristic
13	C₁₉×#554	C₂²	1	2	yes	—
14	C₁₉×#552	—	2	2	no	—
15	C₁₉×#547	—	2	2	no	—
16	C₁₉×#544	—	2	2	no	—
17	C₁₉×#542	—	2	2	no	—
18	C₁₉×#536	—	2	2	no	—
19	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
21	C₁₉×#529	C₂²	1	2	yes	—
22	C₁₉×#501	—	2	2	no	—
23	C₁₉×#494	—	2	2	no	—
24	C₁₉×#494	C₂²	1	2	yes	—
25	C₁₉×#494	C₂²	1	2	yes	—
26	C₁₉×#489	—	2	2	no	—
27	C₁₉×#483	—	2	2	no	—
28	C₁₉×#480	—	2	2	no	—
29	C₁₉×#477	C₂²	1	4	yes	—
30	C₁₉×#476	C₂²	1	4	yes	—
31	C₁₉×#432	C₂²	1	2	yes	—
32	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
33	C₁₉×#333	C₂²	1	2	yes	—
34	C₁₉×#333	C₂²	1	2	yes	—
35	C₁₉×Q₈⋊C₈	C₂²	1	4	yes	—
36	C₁₉×D₄⋊C₈	C₂²	1	4	yes	—
37	C₂×#41×C₁₉	—	2	2	no	—
38	C₂²×Q₈×C₁₉	—	2	1	no	—
39	C₂²×Q₈×C₁₉	D₄	1	2	yes	—
40	C₂×Q₁₆×C₁₉	—	2	4	no	—
41	C₂×Q₁₆×C₁₉	—	2	4	no	—
42	C₂×Q₁₆×C₁₉	—	4	8	no	—
43	C₂²×C₈×C₁₉	—	2	1	no	—
44	C₁₉×C₄⋊Q₈	—	2	2	no	—
45	C₁₉×C₄⋊Q₈	—	2	2	no	—
46	C₁₉×C₄⋊Q₈	—	2	2	no	—
47	C₁₉×C₄⋊Q₈	—	2	2	no	—
48	C₁₉×C₄⋊Q₈	—	2	2	no	—
49	C₁₉×C₄⋊Q₈	—	2	1	no	—
50	C₁₉×C₄⋊Q₈	D₄	1	2	yes	—
51	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
52	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
53	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
54	C₁₉×#126	—	2	4	no	—
55	C₁₉×#126	—	2	2	no	—
56	C₁₉×#125	—	2	4	no	—
57	C₁₉×#125	—	2	2	no	—
58	C₁₉×#125	D₄	1	2	yes	—
59	C₁₉×#124	—	2	2	no	—
60	C₁₉×#124	—	2	2	no	—
61	C₁₉×#124	D₄	1	2	yes	—
62	C₁₉×#123	—	2	4	no	—
63	C₁₉×#123	—	2	4	no	—
64	C₁₉×#123	—	2	2	no	—
65	C₁₉×C₂²⋊Q₈	—	2	4	no	—
66	C₁₉×C₂²⋊Q₈	—	2	4	no	—
67	C₁₉×C₂²⋊Q₈	—	2	4	no	—
68	C₁₉×C₂²⋊Q₈	—	2	2	no	—
69	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
70	C₁₉×#121	—	2	2	no	—
71	C₁₉×#121	D₄	1	2	yes	—
72	C₄×Q₈×C₁₉	—	2	2	no	—
73	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
74	C₄×D₄×C₁₉	—	2	2	no	—
75	C₄×D₄×C₁₉	—	2	2	no	—
76	C₄×D₄×C₁₉	C₂³	1	2	yes	—
77	C₁₉×#117	—	2	2	no	—
78	C₁₉×#117	—	2	2	no	—
79	C₁₉×#117	—	2	2	no	—
80	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
81	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
82	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
83	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
84	C₁₉×#107	—	2	4	no	—
85	C₁₉×#106	—	2	4	no	—
86	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
87	C₁₉×#103	—	2	4	no	—
88	C₁₉×#102	—	2	4	no	—
89	C₁₉×C₂²⋊C₈	—	2	2	no	—
90	C₁₉×#97	—	2	2	no	—
91	C₄×C₈×C₁₉	—	2	1	no	—
92	C₄×C₈×C₁₉	C₂³	1	2	yes	—
93	#41×C₁₉	—	8	4	no	—
94	C₂×Q₈×C₁₉	—	2	2	no	—
95	C₂×Q₈×C₁₉	—	2	2	no	—
96	C₂×Q₈×C₁₉	—	2	2	no	—
97	C₂×Q₈×C₁₉	—	4	4	no	—
98	C₂×Q₈×C₁₉	—	4	4	no	—
99	C₂×Q₈×C₁₉	—	4	1	no	—
100	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
101	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
102	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
103	C₂×D₄×C₁₉	—	2	2	no	—
104	C₂×D₄×C₁₉	—	2	2	no	—
105	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₁₉	—	2	2	no	—
107	C₂²×C₄×C₁₉	—	2	4	no	—
108	C₂²×C₄×C₁₉	—	2	2	no	—
109	C₂²×C₄×C₁₉	—	4	1	no	—
110	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
111	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
112	Q₁₆×C₁₉	—	4	8	no	—
113	Q₁₆×C₁₉	—	4	8	no	—
114	C₂×C₈×C₁₉	—	2	4	no	—
115	C₂×C₈×C₁₉	—	2	2	no	—
116	C₂×C₈×C₁₉	—	2	4	no	—
117	C₄⋊C₄×C₁₉	—	2	4	no	—
118	C₄⋊C₄×C₁₉	—	2	4	no	—
119	C₄⋊C₄×C₁₉	—	2	4	no	—
120	C₄⋊C₄×C₁₉	—	2	4	no	—
121	C₄⋊C₄×C₁₉	—	2	2	no	—
122	C₄⋊C₄×C₁₉	—	2	2	no	—
123	C₄⋊C₄×C₁₉	—	2	2	no	—
124	C₄⋊C₄×C₁₉	—	2	2	no	—
125	C₄⋊C₄×C₁₉	—	2	2	no	—
126	C₄⋊C₄×C₁₉	—	2	2	no	—
127	C₄⋊C₄×C₁₉	—	2	4	no	—
128	C₄⋊C₄×C₁₉	—	4	2	no	—
129	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
130	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
131	C₂²⋊C₄×C₁₉	—	2	4	no	—
132	C₂²⋊C₄×C₁₉	—	2	4	no	—
133	C₂²⋊C₄×C₁₉	—	2	2	no	—
134	C₂²⋊C₄×C₁₉	—	2	2	no	—
135	C₂²⋊C₄×C₁₉	—	2	2	no	—
136	C₂²⋊C₄×C₁₉	—	2	2	no	—
137	C₂²⋊C₄×C₁₉	—	2	2	no	—
138	C₄²×C₁₉	—	2	2	no	—
139	C₄²×C₁₉	—	2	2	no	—
140	C₄²×C₁₉	—	2	2	no	—
141	C₄²×C₁₉	C₂×D₄	1	2	yes	—
142	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
143	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
144	#18685	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
145	C₂³×C₁₉	—	2	2	no	—
146	C₂³×C₁₉	#120	1	1	yes	characteristic
147	Q₈×C₁₉	—	2	4	no	—
148	Q₈×C₁₉	—	4	2	no	—
149	Q₈×C₁₉	—	4	2	no	—
150	Q₈×C₁₉	—	4	4	no	—
151	Q₈×C₁₉	—	8	2	no	—
152	Q₈×C₁₉	—	8	2	no	—
153	Q₈×C₁₉	—	8	2	no	—
154	D₄×C₁₉	—	2	4	no	—
155	D₄×C₁₉	—	4	4	no	—
156	D₄×C₁₉	—	8	2	no	—
157	C₂×C₄×C₁₉	—	2	2	no	—
158	C₂×C₄×C₁₉	—	2	4	no	—
159	C₂×C₄×C₁₉	—	2	2	no	—
160	C₂×C₄×C₁₉	—	2	2	no	—
161	C₂×C₄×C₁₉	—	2	2	no	—
162	C₂×C₄×C₁₉	—	2	2	no	—
163	C₂×C₄×C₁₉	—	2	2	no	—
164	C₂×C₄×C₁₉	—	4	4	no	—
165	C₂×C₄×C₁₉	—	4	4	no	—
166	C₂×C₄×C₁₉	—	4	2	no	—
167	C₂×C₄×C₁₉	—	8	4	no	—
168	C₂×C₄×C₁₉	—	8	2	no	—
169	C₂×C₄×C₁₉	#120	1	2	yes	—
170	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
171	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
173	C₈×C₁₉	—	2	4	no	—
174	C₈×C₁₉	—	4	4	no	—
175	#3544	C₂×C₁₉	1	1	yes	characteristic
176	#3238	C₂×C₁₉	1	2	yes	complemented
177	C₂×#494	C₂×C₁₉	1	1	yes	characteristic, complemented
178	#1634	C₂×C₁₉	1	2	yes	complemented
179	#1633	C₂×C₁₉	1	2	yes	complemented
180	#1632	C₂×C₁₉	1	4	yes	complemented
181	#1558	C₂×C₁₉	1	1	yes	characteristic, complemented
182	#1494	C₂×C₁₉	1	2	yes	complemented
183	C₂²×C₁₉	—	2	2	no	—
184	C₂²×C₁₉	—	4	2	no	—
185	C₂²×C₁₉	—	4	2	no	—
186	C₂²×C₁₉	—	4	2	no	—
187	C₂²×C₁₉	#453	1	2	yes	—
188	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
189	C₄×C₁₉	—	2	2	no	—
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	2	1	no	—
192	C₄×C₁₉	—	4	2	no	—
193	C₄×C₁₉	—	4	2	no	—
194	C₄×C₁₉	—	4	2	no	—
195	C₄×C₁₉	—	4	2	no	—
196	C₄×C₁₉	—	4	2	no	—
197	C₄×C₁₉	—	8	2	no	—
198	C₄×C₁₉	#578	1	4	yes	—
199	C₂²×Q₁₆	—	2	2	no	—
200	#563	—	2	2	no	—
201	Q₈²	C₂²×C₁₉	1	1	yes	characteristic
202	#555	C₂²×C₁₉	1	1	yes	characteristic
203	#554	C₂²×C₁₉	1	2	yes	—
204	#552	—	2	2	no	—
205	#547	—	2	2	no	—
206	#544	—	2	2	no	—
207	#542	—	2	2	no	—
208	#536	—	2	2	no	—
209	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
210	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
211	#529	C₂²×C₁₉	1	2	yes	—
212	#501	—	2	2	no	—
213	#494	—	2	2	no	—
214	#494	C₂²×C₁₉	1	2	yes	—
215	#494	C₂²×C₁₉	1	2	yes	—
216	#489	—	2	2	no	—
217	#483	—	2	2	no	—
218	#480	—	2	2	no	—
219	#477	C₂²×C₁₉	1	4	yes	—
220	#476	C₂²×C₁₉	1	4	yes	—
221	#432	C₂²×C₁₉	1	2	yes	—
222	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
223	#333	C₂²×C₁₉	1	2	yes	—
224	#333	C₂²×C₁₉	1	2	yes	—
225	Q₈⋊C₈	C₂²×C₁₉	1	4	yes	—
226	D₄⋊C₈	C₂²×C₁₉	1	4	yes	—
227	C₂×C₁₉	—	2	2	no	—
228	C₂×C₁₉	—	8	2	no	—
229	C₂×C₁₉	#3011	1	2	yes	—
230	C₂×C₁₉	C₂×#453	1	1	yes	characteristic
231	C₂×#41	—	2	2	no	—
232	C₂²×Q₈	—	2	1	no	—
233	C₂²×Q₈	D₄×C₁₉	1	2	yes	—
234	C₂×Q₁₆	—	2	4	no	—
235	C₂×Q₁₆	—	2	4	no	—
236	C₂×Q₁₆	—	4	8	no	—
237	C₂²×C₈	—	2	1	no	—
238	C₄⋊Q₈	—	2	2	no	—
239	C₄⋊Q₈	—	2	2	no	—
240	C₄⋊Q₈	—	2	2	no	—
241	C₄⋊Q₈	—	2	2	no	—
242	C₄⋊Q₈	—	2	2	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	D₄×C₁₉	1	2	yes	—
245	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
246	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
247	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
248	#126	—	2	4	no	—
249	#126	—	2	2	no	—
250	#125	—	2	4	no	—
251	#125	—	2	2	no	—
252	#125	D₄×C₁₉	1	2	yes	—
253	#124	—	2	2	no	—
254	#124	—	2	2	no	—
255	#124	D₄×C₁₉	1	2	yes	—
256	#123	—	2	4	no	—
257	#123	—	2	4	no	—
258	#123	—	2	2	no	—
259	C₂²⋊Q₈	—	2	4	no	—
260	C₂²⋊Q₈	—	2	4	no	—
261	C₂²⋊Q₈	—	2	4	no	—
262	C₂²⋊Q₈	—	2	2	no	—
263	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
264	#121	—	2	2	no	—
265	#121	D₄×C₁₉	1	2	yes	—
266	C₄×Q₈	—	2	2	no	—
267	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
268	C₄×D₄	—	2	2	no	—
269	C₄×D₄	—	2	2	no	—
270	C₄×D₄	C₂³×C₁₉	1	2	yes	—
271	#117	—	2	2	no	—
272	#117	—	2	2	no	—
273	#117	—	2	2	no	—
274	C₂×C₄⋊C₄	—	2	2	no	—
275	C₂×C₄⋊C₄	—	2	2	no	—
276	C₂×C₄⋊C₄	—	2	2	no	—
277	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
278	#107	—	2	4	no	—
279	#106	—	2	4	no	—
280	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
281	#103	—	2	4	no	—
282	#102	—	2	4	no	—
283	C₂²⋊C₈	—	2	2	no	—
284	#97	—	2	2	no	—
285	C₄×C₈	—	2	1	no	—
286	C₄×C₈	C₂³×C₁₉	1	2	yes	—
287	C₁₉	#18685	1	1	yes	characteristic, direct product factor, Sylow
288	#41	—	8	4	no	—
289	C₂×Q₈	—	2	2	no	—
290	C₂×Q₈	—	2	2	no	—
291	C₂×Q₈	—	2	2	no	—
292	C₂×Q₈	—	4	4	no	—
293	C₂×Q₈	—	4	4	no	—
294	C₂×Q₈	—	4	1	no	—
295	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
296	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
297	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
298	C₂×D₄	—	2	2	no	—
299	C₂×D₄	—	2	2	no	—
300	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
301	C₂²×C₄	—	2	2	no	—
302	C₂²×C₄	—	2	4	no	—
303	C₂²×C₄	—	2	2	no	—
304	C₂²×C₄	—	4	1	no	—
305	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
306	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
307	Q₁₆	—	4	8	no	—
308	Q₁₆	—	4	8	no	—
309	C₂×C₈	—	2	4	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	4	no	—
312	C₄⋊C₄	—	2	4	no	—
313	C₄⋊C₄	—	2	4	no	—
314	C₄⋊C₄	—	2	4	no	—
315	C₄⋊C₄	—	2	4	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	4	no	—
323	C₄⋊C₄	—	4	2	no	—
324	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
325	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
326	C₂²⋊C₄	—	2	4	no	—
327	C₂²⋊C₄	—	2	4	no	—
328	C₂²⋊C₄	—	2	2	no	—
329	C₂²⋊C₄	—	2	2	no	—
330	C₂²⋊C₄	—	2	2	no	—
331	C₂²⋊C₄	—	2	2	no	—
332	C₂²⋊C₄	—	2	2	no	—
333	C₄²	—	2	2	no	—
334	C₄²	—	2	2	no	—
335	C₄²	—	2	2	no	—
336	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
337	C₄²	C₂×D₄×C₁₉	1	2	yes	—
338	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
339	C₂³	—	2	2	no	—
340	C₂³	C₁₉×#120	1	1	yes	characteristic
341	Q₈	—	2	4	no	—
342	Q₈	—	4	2	no	—
343	Q₈	—	4	2	no	—
344	Q₈	—	4	4	no	—
345	Q₈	—	8	2	no	—
346	Q₈	—	8	2	no	—
347	Q₈	—	8	2	no	—
348	D₄	—	2	4	no	—
349	D₄	—	4	4	no	—
350	D₄	—	8	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	4	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	4	4	no	—
359	C₂×C₄	—	4	4	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	8	4	no	—
362	C₂×C₄	—	8	2	no	—
363	C₂×C₄	C₁₉×#120	1	2	yes	—
364	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
365	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
366	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
367	C₈	—	2	4	no	—
368	C₈	—	4	4	no	—
369	C₂²	—	2	2	no	—
370	C₂²	—	4	2	no	—
371	C₂²	—	4	2	no	—
372	C₂²	—	4	2	no	—
373	C₂²	C₁₉×#453	1	2	yes	—
374	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
375	C₄	—	2	2	no	—
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	4	2	no	—
379	C₄	—	4	2	no	—
380	C₄	—	4	2	no	—
381	C₄	—	4	2	no	—
382	C₄	—	4	2	no	—
383	C₄	—	8	2	no	—
384	C₄	C₁₉×#578	1	4	yes	—
385	C₂	—	2	2	no	—
386	C₂	—	8	2	no	—
387	C₂	C₁₉×#3011	1	2	yes	—
388	C₂	C₂×C₁₉×#453	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
prime radical	C₁₉×#3544	C₂
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
2. C₁₉×#3238	C₂	semidirect
3. C₂×C₁₉×#494	C₂	semidirect
4. C₁₉×#1634	C₂	semidirect
5. C₁₉×#1633	C₂	semidirect
6. C₁₉×#1632	C₂	semidirect
7. C₁₉×#1558	C₂	semidirect
8. C₁₉×#1494	C₂	semidirect
144. #18685	C₁₉	direct (N × H)
176. #3238	C₂×C₁₉	semidirect
177. C₂×#494	C₂×C₁₉	semidirect
178. #1634	C₂×C₁₉	semidirect
179. #1633	C₂×C₁₉	semidirect
180. #1632	C₂×C₁₉	semidirect
181. #1558	C₂×C₁₉	semidirect
182. #1494	C₂×C₁₉	semidirect
287. C₁₉	#18685	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×#3544	2
C₁₉×#3238	2
C₂×C₁₉×#494	2
C₁₉×#1634	2
C₁₉×#1633	2
C₁₉×#1632	2
C₁₉×#1558	2
C₁₉×#1494	2
#18685	19

Subgroups — C19×#18685 #18024644

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#18685 #18024644