Subgroups — C₁₉×#34369 #18040328

Order 4864.

2410 conjugacy classes of subgroups.

The subgroup lattice has 334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#532	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2381	C₂	1	2	yes	maximal, complemented
3	C₁₉×#2380	C₂	1	2	yes	maximal, complemented
4	C₁₉×#2372	C₂	1	4	yes	maximal, complemented
5	C₁₉×#2352	C₂	1	8	yes	maximal, complemented
6	C₁₉×#2333	C₂	1	8	yes	maximal, complemented
7	C₁₉×#2311	C₂	1	4	yes	maximal, complemented
8	C₁₉×#2283	C₂	1	2	yes	maximal, complemented
9	C₂²×#41×C₁₉	C₂²	1	2	yes	—
10	C₁₉×#532	C₄	1	16	yes	complemented
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×#124	C₂²	1	2	yes	—
14	C₂×C₁₉×#121	C₂²	1	4	yes	—
15	C₂×C₄×D₄×C₁₉	C₂²	1	4	yes	—
16	C₂×C₁₉×#117	C₂²	1	4	yes	—
17	C₂²×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
18	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#391	C₂²	1	8	yes	—
20	C₁₉×#390	C₂²	1	8	yes	—
21	C₁₉×#388	C₂²	1	16	yes	—
22	C₁₉×#387	C₂²	1	16	yes	—
23	C₁₉×#386	C₂²	1	8	yes	—
24	C₁₉×#386	C₂²	1	8	yes	—
25	C₁₉×#386	C₂²	1	16	yes	—
26	C₁₉×#383	C₂²	1	4	yes	—
27	C₁₉×#382	C₂²	1	4	yes	—
28	C₁₉×#381	C₂²	1	4	yes	—
29	C₁₉×#380	C₂²	1	4	yes	—
30	C₁₉×#380	C₂²	1	8	yes	—
31	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
32	C₄×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
33	C₄×C₂²⋊C₄×C₁₉	C₂²	1	16	yes	—
34	C₁₉×#376	C₂²	1	4	yes	—
35	C₂×#41×C₁₉	—	4	4	no	—
36	C₂×#41×C₁₉	—	4	4	no	—
37	C₂×#41×C₁₉	C₂×C₄	1	16	yes	complemented
38	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
39	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
40	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
41	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
42	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
43	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
44	C₂³×C₄×C₁₉	C₂³	1	8	yes	—
45	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
46	C₁₉×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
47	C₁₉×#127	C₂×C₄	1	8	yes	—
48	C₁₉×#124	C₂×C₄	1	16	yes	complemented
49	C₁₉×#121	C₂×C₄	1	32	yes	complemented
50	C₄×D₄×C₁₉	C₂×C₄	1	32	yes	complemented
51	C₁₉×#117	—	4	8	no	—
52	C₂×C₄⋊C₄×C₁₉	—	4	8	no	—
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
54	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
55	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
56	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
57	C₂×C₂²⋊C₄×C₁₉	C₂³	1	16	yes	—
58	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
59	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
60	C₂×C₄²×C₁₉	C₂×C₄	1	8	yes	complemented
61	C₂×C₄²×C₁₉	C₂³	1	8	yes	—
62	C₂×C₄²×C₁₉	C₂³	1	8	yes	—
63	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
65	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
66	C₁₉×#95	C₂³	1	8	yes	—
67	C₁₉×#95	C₂³	1	8	yes	—
68	C₁₉×#95	C₂³	1	16	yes	—
69	C₁₉×#95	C₂³	1	8	yes	—
70	C₁₉×#95	C₂³	1	8	yes	—
71	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
72	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
73	#41×C₁₉	—	4	32	no	—
74	C₂×Q₈×C₁₉	—	4	2	no	—
75	C₂×Q₈×C₁₉	—	4	2	no	—
76	C₂×Q₈×C₁₉	C₂²×C₄	1	8	yes	—
77	C₂×D₄×C₁₉	—	4	4	no	—
78	C₂×D₄×C₁₉	—	4	4	no	—
79	C₂×D₄×C₁₉	—	4	4	no	—
80	C₂×D₄×C₁₉	—	4	4	no	—
81	C₂×D₄×C₁₉	—	4	2	no	—
82	C₂×D₄×C₁₉	—	4	2	no	—
83	C₂×D₄×C₁₉	C₂²×C₄	1	16	yes	—
84	C₂×D₄×C₁₉	C₂²×C₄	1	16	yes	—
85	C₂×D₄×C₁₉	C₂²×C₄	1	8	yes	—
86	C₂²×C₄×C₁₉	—	2	8	no	—
87	C₂²×C₄×C₁₉	—	2	8	no	—
88	C₂²×C₄×C₁₉	—	2	4	no	—
89	C₂²×C₄×C₁₉	—	4	4	no	—
90	C₂²×C₄×C₁₉	—	4	8	no	—
91	C₂²×C₄×C₁₉	—	4	16	no	—
92	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
93	C₂²×C₄×C₁₉	C₂²×C₄	1	16	yes	—
94	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
95	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
96	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
97	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
98	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
99	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
100	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
101	C₄⋊C₄×C₁₉	—	2	16	no	—
102	C₄⋊C₄×C₁₉	—	4	8	no	—
103	C₄⋊C₄×C₁₉	C₂²×C₄	1	16	yes	—
104	C₂²⋊C₄×C₁₉	—	4	16	no	—
105	C₂²⋊C₄×C₁₉	—	4	8	no	—
106	C₂²⋊C₄×C₁₉	—	4	8	no	—
107	C₂²⋊C₄×C₁₉	C₂²×C₄	1	32	yes	—
108	C₄²×C₁₉	—	4	8	no	—
109	C₄²×C₁₉	—	4	8	no	—
110	C₄²×C₁₉	C₂²×C₄	1	8	yes	—
111	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
112	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
113	#34369	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
114	C₂³×C₁₉	—	2	4	no	—
115	C₂³×C₁₉	—	2	4	no	—
116	C₂³×C₁₉	—	2	2	no	—
117	C₂³×C₁₉	—	2	4	no	—
118	C₂³×C₁₉	—	2	8	no	—
119	C₂³×C₁₉	—	2	8	no	—
120	C₂³×C₁₉	C₂³×C₄	1	8	yes	—
121	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
122	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
123	Q₈×C₁₉	—	4	8	no	—
124	D₄×C₁₉	—	4	16	no	—
125	D₄×C₁₉	—	4	8	no	—
126	D₄×C₁₉	—	4	16	no	—
127	C₂×C₄×C₁₉	—	2	4	no	—
128	C₂×C₄×C₁₉	—	2	4	no	—
129	C₂×C₄×C₁₉	—	2	2	no	—
130	C₂×C₄×C₁₉	—	2	4	no	—
131	C₂×C₄×C₁₉	—	2	4	no	—
132	C₂×C₄×C₁₉	—	2	32	no	—
133	C₂×C₄×C₁₉	—	2	8	no	—
134	C₂×C₄×C₁₉	—	2	16	no	—
135	C₂×C₄×C₁₉	—	2	16	no	—
136	C₂×C₄×C₁₉	—	2	16	no	—
137	C₂×C₄×C₁₉	—	4	8	no	—
138	C₂×C₄×C₁₉	—	8	16	no	—
139	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
140	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
141	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
142	C₂×C₄×C₁₉	C₂³×C₄	1	8	yes	—
143	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
144	C₂×C₄×C₁₉	H(5,𝔽₂)	1	4	yes	—
145	C₂×#532	C₂×C₁₉	1	1	yes	characteristic
146	#2381	C₂×C₁₉	1	2	yes	complemented
147	#2380	C₂×C₁₉	1	2	yes	complemented
148	#2372	C₂×C₁₉	1	4	yes	complemented
149	#2352	C₂×C₁₉	1	8	yes	complemented
150	#2333	C₂×C₁₉	1	8	yes	complemented
151	#2311	C₂×C₁₉	1	4	yes	complemented
152	#2283	C₂×C₁₉	1	2	yes	complemented
153	C₂²×C₁₉	—	2	2	no	—
154	C₂²×C₁₉	—	2	8	no	—
155	C₂²×C₁₉	—	2	4	no	—
156	C₂²×C₁₉	—	2	16	no	—
157	C₂²×C₁₉	—	4	4	no	—
158	C₂²×C₁₉	—	4	8	no	—
159	C₂²×C₁₉	—	4	4	no	—
160	C₂²×C₁₉	—	4	4	no	—
161	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
162	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
163	C₂²×C₁₉	#585	1	4	yes	—
164	C₄×C₁₉	—	2	2	no	—
165	C₄×C₁₉	—	2	8	no	—
166	C₄×C₁₉	—	2	4	no	—
167	C₄×C₁₉	—	2	4	no	—
168	C₄×C₁₉	—	4	16	no	—
169	C₄×C₁₉	#518	1	4	yes	—
170	C₂²×#41	C₂²×C₁₉	1	2	yes	—
171	#532	C₄×C₁₉	1	16	yes	complemented
172	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
173	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic
174	C₂×#124	C₂²×C₁₉	1	2	yes	—
175	C₂×#121	C₂²×C₁₉	1	4	yes	—
176	C₂×C₄×D₄	C₂²×C₁₉	1	4	yes	—
177	C₂×#117	C₂²×C₁₉	1	4	yes	—
178	C₂²×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
179	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
180	#391	C₂²×C₁₉	1	8	yes	—
181	#390	C₂²×C₁₉	1	8	yes	—
182	#388	C₂²×C₁₉	1	16	yes	—
183	#387	C₂²×C₁₉	1	16	yes	—
184	#386	C₂²×C₁₉	1	8	yes	—
185	#386	C₂²×C₁₉	1	8	yes	—
186	#386	C₂²×C₁₉	1	16	yes	—
187	#383	C₂²×C₁₉	1	4	yes	—
188	#382	C₂²×C₁₉	1	4	yes	—
189	#381	C₂²×C₁₉	1	4	yes	—
190	#380	C₂²×C₁₉	1	4	yes	—
191	#380	C₂²×C₁₉	1	8	yes	—
192	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
193	C₄×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
194	C₄×C₂²⋊C₄	C₂²×C₁₉	1	16	yes	—
195	#376	C₂²×C₁₉	1	4	yes	—
196	C₂×C₁₉	—	4	2	no	—
197	C₂×C₁₉	—	4	8	no	—
198	C₂×C₁₉	C₂×#518	1	1	yes	characteristic
199	C₂×C₁₉	#3428	1	2	yes	—
200	C₂×C₁₉	#3551	1	4	yes	—
201	C₂×#41	—	4	4	no	—
202	C₂×#41	—	4	4	no	—
203	C₂×#41	C₂×C₄×C₁₉	1	16	yes	complemented
204	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
205	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
206	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
207	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
208	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
209	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
210	C₂³×C₄	C₂³×C₁₉	1	8	yes	—
211	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
212	C₄⋊Q₈	C₂×C₄×C₁₉	1	8	yes	complemented
213	#127	C₂×C₄×C₁₉	1	8	yes	—
214	#124	C₂×C₄×C₁₉	1	16	yes	complemented
215	#121	C₂×C₄×C₁₉	1	32	yes	complemented
216	C₄×D₄	C₂×C₄×C₁₉	1	32	yes	complemented
217	#117	—	4	8	no	—
218	C₂×C₄⋊C₄	—	4	8	no	—
219	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
220	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
221	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
222	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
223	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
224	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	—
225	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
226	C₂×C₄²	C₂×C₄×C₁₉	1	8	yes	complemented
227	C₂×C₄²	C₂³×C₁₉	1	8	yes	—
228	C₂×C₄²	C₂³×C₁₉	1	8	yes	—
229	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
230	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
231	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
232	#95	C₂³×C₁₉	1	8	yes	—
233	#95	C₂³×C₁₉	1	8	yes	—
234	#95	C₂³×C₁₉	1	16	yes	—
235	#95	C₂³×C₁₉	1	8	yes	—
236	#95	C₂³×C₁₉	1	8	yes	—
237	C₁₉	#34369	1	1	yes	characteristic, direct product factor, Sylow
238	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
239	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
240	#41	—	4	32	no	—
241	C₂×Q₈	—	4	2	no	—
242	C₂×Q₈	—	4	2	no	—
243	C₂×Q₈	C₂²×C₄×C₁₉	1	8	yes	—
244	C₂×D₄	—	4	4	no	—
245	C₂×D₄	—	4	4	no	—
246	C₂×D₄	—	4	4	no	—
247	C₂×D₄	—	4	4	no	—
248	C₂×D₄	—	4	2	no	—
249	C₂×D₄	—	4	2	no	—
250	C₂×D₄	C₂²×C₄×C₁₉	1	16	yes	—
251	C₂×D₄	C₂²×C₄×C₁₉	1	16	yes	—
252	C₂×D₄	C₂²×C₄×C₁₉	1	8	yes	—
253	C₂²×C₄	—	2	8	no	—
254	C₂²×C₄	—	2	8	no	—
255	C₂²×C₄	—	2	4	no	—
256	C₂²×C₄	—	4	4	no	—
257	C₂²×C₄	—	4	8	no	—
258	C₂²×C₄	—	4	16	no	—
259	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
260	C₂²×C₄	C₂²×C₄×C₁₉	1	16	yes	—
261	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
262	C₂²×C₄	C₂⁴×C₁₉	1	16	yes	—
263	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
264	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
265	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
266	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
267	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
268	C₄⋊C₄	—	2	16	no	—
269	C₄⋊C₄	—	4	8	no	—
270	C₄⋊C₄	C₂²×C₄×C₁₉	1	16	yes	—
271	C₂²⋊C₄	—	4	16	no	—
272	C₂²⋊C₄	—	4	8	no	—
273	C₂²⋊C₄	—	4	8	no	—
274	C₂²⋊C₄	C₂²×C₄×C₁₉	1	32	yes	—
275	C₄²	—	4	8	no	—
276	C₄²	—	4	8	no	—
277	C₄²	C₂²×C₄×C₁₉	1	8	yes	—
278	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
279	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	4	no	—
282	C₂³	—	2	2	no	—
283	C₂³	—	2	4	no	—
284	C₂³	—	2	8	no	—
285	C₂³	—	2	8	no	—
286	C₂³	C₂³×C₄×C₁₉	1	8	yes	—
287	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
288	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
289	Q₈	—	4	8	no	—
290	D₄	—	4	8	no	—
291	D₄	—	4	16	no	—
292	D₄	—	4	16	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	8	no	—
299	C₂×C₄	—	2	32	no	—
300	C₂×C₄	—	2	16	no	—
301	C₂×C₄	—	2	16	no	—
302	C₂×C₄	—	2	16	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	—	8	16	no	—
305	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
306	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
307	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
308	C₂×C₄	C₂³×C₄×C₁₉	1	8	yes	—
309	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
310	C₂×C₄	C₁₉×H(5,𝔽₂)	1	4	yes	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	8	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	2	16	no	—
315	C₂²	—	4	4	no	—
316	C₂²	—	4	8	no	—
317	C₂²	—	4	4	no	—
318	C₂²	—	4	4	no	—
319	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
320	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
321	C₂²	C₁₉×#585	1	4	yes	—
322	C₄	—	2	2	no	—
323	C₄	—	2	8	no	—
324	C₄	—	2	4	no	—
325	C₄	—	2	4	no	—
326	C₄	—	4	16	no	—
327	C₄	C₁₉×#518	1	4	yes	—
328	C₂	—	4	2	no	—
329	C₂	—	4	8	no	—
330	C₂	C₂×C₁₉×#518	1	1	yes	characteristic
331	C₂	C₁₉×#3428	1	2	yes	—
332	C₂	C₁₉×#3551	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂³	C₂⁵×C₁₉
prime radical	C₂×C₁₉×#532	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2381	C₂	semidirect
3. C₁₉×#2380	C₂	semidirect
4. C₁₉×#2372	C₂	semidirect
5. C₁₉×#2352	C₂	semidirect
6. C₁₉×#2333	C₂	semidirect
7. C₁₉×#2311	C₂	semidirect
8. C₁₉×#2283	C₂	semidirect
10. C₁₉×#532	C₄	semidirect
37. C₂×#41×C₁₉	C₂×C₄	semidirect
46. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
48. C₁₉×#124	C₂×C₄	semidirect
49. C₁₉×#121	C₂×C₄	semidirect
50. C₄×D₄×C₁₉	C₂×C₄	semidirect
60. C₂×C₄²×C₁₉	C₂×C₄	semidirect
113. #34369	C₁₉	direct (N × H)
146. #2381	C₂×C₁₉	semidirect
147. #2380	C₂×C₁₉	semidirect
148. #2372	C₂×C₁₉	semidirect
149. #2352	C₂×C₁₉	semidirect
150. #2333	C₂×C₁₉	semidirect
151. #2311	C₂×C₁₉	semidirect
152. #2283	C₂×C₁₉	semidirect
171. #532	C₄×C₁₉	semidirect
203. C₂×#41	C₂×C₄×C₁₉	semidirect
212. C₄⋊Q₈	C₂×C₄×C₁₉	semidirect
214. #124	C₂×C₄×C₁₉	semidirect
215. #121	C₂×C₄×C₁₉	semidirect
216. C₄×D₄	C₂×C₄×C₁₉	semidirect
226. C₂×C₄²	C₂×C₄×C₁₉	semidirect
237. C₁₉	#34369	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#532	2
C₁₉×#2381	2
C₁₉×#2380	2
C₁₉×#2372	2
C₁₉×#2352	2
C₁₉×#2333	2
C₁₉×#2311	2
C₁₉×#2283	2
#34369	19

Subgroups — C19×#34369 #18040328

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#34369 #18040328