Subgroups — C₁₉×#23115 #18029074

Order 4864.

762 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3035	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2935	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#2925	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1975	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1974	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1963	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1950	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1929	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1929	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1876	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1876	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1768	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1765	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1764	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1759	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
20	C₁₉×#532	C₂²	1	1	yes	characteristic
21	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
22	C₁₉×#464	C₄	1	1	yes	characteristic, complemented
23	C₁₉×#464	C₄	1	1	yes	characteristic, complemented
24	C₁₉×#463	C₄	1	1	yes	characteristic, complemented
25	C₁₉×#463	C₄	1	1	yes	characteristic, complemented
26	C₁₉×#462	C₄	1	1	yes	characteristic, complemented
27	C₁₉×#461	C₄	1	1	yes	characteristic, complemented
28	C₁₉×#460	C₄	1	1	yes	characteristic, complemented
29	C₁₉×#459	C₄	1	1	yes	characteristic, complemented
30	C₁₉×#436	—	2	1	no	—
31	C₁₉×#435	—	2	1	no	—
32	C₁₉×#435	—	2	1	no	—
33	C₈×D₄×C₁₉	—	2	1	no	—
34	C₁₉×#433	—	2	1	no	—
35	C₁₉×#433	—	2	1	no	—
36	C₁₉×#432	—	2	1	no	—
37	C₁₉×#431	—	2	1	no	—
38	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
40	C₁₉×#423	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
46	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
47	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
48	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
49	C₁₉×#416	C₂²	1	1	yes	characteristic
50	C₁₉×#416	C₂²	1	1	yes	characteristic
51	C₁₉×#408	C₂²	1	1	yes	characteristic
52	C₁₉×#408	C₂²	1	1	yes	characteristic
53	C₁₉×#408	C₂²	1	1	yes	characteristic
54	C₁₉×#408	C₂²	1	1	yes	characteristic
55	C₁₉×#405	C₂²	1	1	yes	characteristic
56	C₁₉×#405	C₂²	1	1	yes	characteristic
57	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
58	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
60	C₁₉×#376	C₂²	1	1	yes	characteristic
61	C₁₉×#341	C₂²	1	1	yes	characteristic
62	C₁₉×#341	C₂²	1	1	yes	characteristic
63	C₁₉×#339	C₂²	1	1	yes	characteristic
64	C₁₉×#339	C₂²	1	1	yes	characteristic
65	C₁₉×#336	C₂²	1	1	yes	characteristic
66	C₁₉×#336	C₂²	1	1	yes	characteristic
67	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
68	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
69	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
70	C₁₉×#135	—	4	1	no	—
71	C₁₉×#135	—	4	1	no	—
72	C₁₉×#135	—	4	1	no	—
73	C₁₉×#135	—	4	1	no	—
74	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
75	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
76	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
77	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
78	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
79	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
80	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
81	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
82	C₁₉×#131	—	2	2	no	—
83	C₁₉×#131	—	2	2	no	—
84	C₁₉×#131	—	4	1	no	—
85	C₁₉×#131	—	4	1	no	—
86	C₂×M₁₆×C₁₉	—	2	1	no	—
87	C₂×M₁₆×C₁₉	—	2	1	no	—
88	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
90	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
91	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₁₉	—	2	1	no	—
93	C₂²×C₈×C₁₉	—	2	1	no	—
94	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
95	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
96	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
97	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
98	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
99	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
100	C₁₉×#124	C₂×C₄	1	1	yes	characteristic
101	C₁₉×#124	C₂×C₄	1	1	yes	characteristic
102	C₁₉×#121	—	2	1	no	—
103	C₁₉×#121	—	2	1	no	—
104	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
105	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
106	C₄×D₄×C₁₉	—	2	1	no	—
107	C₄×D₄×C₁₉	—	2	1	no	—
108	C₄×D₄×C₁₉	—	2	1	no	—
109	C₄×D₄×C₁₉	—	2	1	no	—
110	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
111	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
112	C₁₉×#117	—	2	1	no	—
113	C₁₉×#117	C₂³	1	1	yes	characteristic
114	C₂×C₄²×C₁₉	—	2	1	no	—
115	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
116	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
117	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
118	C₁₉×#108	—	4	1	no	—
119	C₁₉×#108	—	4	1	no	—
120	C₁₉×C₄⋊C₈	—	2	1	no	—
121	C₁₉×C₄⋊C₈	—	2	1	no	—
122	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
123	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
124	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
125	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
126	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
127	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
128	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
129	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
130	C₁₉×#104	—	2	2	no	—
131	C₁₉×#104	—	2	2	no	—
132	C₁₉×#104	—	2	2	no	—
133	C₁₉×#104	—	2	2	no	—
134	C₁₉×#104	—	4	1	no	—
135	C₁₉×#104	—	4	1	no	—
136	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
137	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
138	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
139	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
140	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
141	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
142	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
143	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
144	C₁₉×C₂²⋊C₈	—	2	1	no	—
145	C₁₉×C₂²⋊C₈	—	2	1	no	—
146	C₁₉×C₂²⋊C₈	—	2	1	no	—
147	C₁₉×C₂²⋊C₈	—	2	1	no	—
148	C₁₉×C₂²⋊C₈	—	2	1	no	—
149	C₁₉×C₂²⋊C₈	—	2	1	no	—
150	C₁₉×C₂²⋊C₈	—	2	1	no	—
151	C₁₉×C₂²⋊C₈	—	2	1	no	—
152	C₁₉×#97	—	2	1	no	—
153	C₁₉×#97	—	2	1	no	—
154	C₁₉×#97	—	2	1	no	—
155	C₁₉×#97	—	4	1	no	—
156	C₄×C₈×C₁₉	—	2	1	no	—
157	C₄×C₈×C₁₉	—	2	1	no	—
158	C₄×C₈×C₁₉	—	2	1	no	—
159	C₄×C₈×C₁₉	—	4	1	no	—
160	C₁₉×#95	—	2	1	no	—
161	C₁₉×#95	—	2	1	no	—
162	#41×C₁₉	—	2	1	no	—
163	#41×C₁₉	—	2	1	no	—
164	#41×C₁₉	—	2	1	no	—
165	#41×C₁₉	—	2	1	no	—
166	#41×C₁₉	—	2	1	no	—
167	#41×C₁₉	—	2	1	no	—
168	#41×C₁₉	—	2	1	no	—
169	#41×C₁₉	—	2	1	no	—
170	#41×C₁₉	—	2	1	no	—
171	#41×C₁₉	—	2	1	no	—
172	#41×C₁₉	—	2	1	no	—
173	#41×C₁₉	—	2	1	no	—
174	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
175	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
176	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
177	C₂×D₄×C₁₉	—	2	1	no	—
178	C₂×D₄×C₁₉	—	2	1	no	—
179	C₂×D₄×C₁₉	—	2	1	no	—
180	C₂×D₄×C₁₉	—	2	1	no	—
181	C₂×D₄×C₁₉	—	2	1	no	—
182	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
183	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
184	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
185	C₂²×C₄×C₁₉	—	2	1	no	—
186	C₂²×C₄×C₁₉	—	2	1	no	—
187	C₂²×C₄×C₁₉	—	2	1	no	—
188	C₂²×C₄×C₁₉	—	2	1	no	—
189	C₂²×C₄×C₁₉	—	2	1	no	—
190	C₂²×C₄×C₁₉	—	2	1	no	—
191	C₂²×C₄×C₁₉	—	2	1	no	—
192	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
193	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
194	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
195	Q₁₆×C₁₉	—	4	1	no	—
196	Q₁₆×C₁₉	—	4	1	no	—
197	SD₁₆×C₁₉	—	4	1	no	—
198	SD₁₆×C₁₉	—	4	1	no	—
199	SD₁₆×C₁₉	—	4	1	no	—
200	SD₁₆×C₁₉	—	4	1	no	—
201	D₈×C₁₉	—	4	1	no	—
202	D₈×C₁₉	—	4	1	no	—
203	M₁₆×C₁₉	—	2	1	no	—
204	M₁₆×C₁₉	—	2	1	no	—
205	M₁₆×C₁₉	—	2	1	no	—
206	M₁₆×C₁₉	—	2	1	no	—
207	M₁₆×C₁₉	—	2	1	no	—
208	M₁₆×C₁₉	—	2	1	no	—
209	M₁₆×C₁₉	—	2	1	no	—
210	M₁₆×C₁₉	—	4	2	no	—
211	M₁₆×C₁₉	—	4	2	no	—
212	M₁₆×C₁₉	#41	1	2	yes	—
213	C₂×C₈×C₁₉	—	2	1	no	—
214	C₂×C₈×C₁₉	—	2	1	no	—
215	C₂×C₈×C₁₉	—	2	1	no	—
216	C₂×C₈×C₁₉	—	2	1	no	—
217	C₂×C₈×C₁₉	—	2	1	no	—
218	C₂×C₈×C₁₉	—	2	1	no	—
219	C₂×C₈×C₁₉	—	2	1	no	—
220	C₂×C₈×C₁₉	—	2	1	no	—
221	C₂×C₈×C₁₉	—	2	1	no	—
222	C₂×C₈×C₁₉	—	2	1	no	—
223	C₂×C₈×C₁₉	—	2	1	no	—
224	C₂×C₈×C₁₉	—	2	1	no	—
225	C₂×C₈×C₁₉	—	4	2	no	—
226	C₂×C₈×C₁₉	—	4	2	no	—
227	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
228	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
229	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
230	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
231	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
232	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
233	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
234	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
235	C₄⋊C₄×C₁₉	—	2	1	no	—
236	C₄⋊C₄×C₁₉	—	2	1	no	—
237	C₄⋊C₄×C₁₉	—	2	1	no	—
238	C₄⋊C₄×C₁₉	—	2	1	no	—
239	C₄⋊C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
240	C₄⋊C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
241	C₂²⋊C₄×C₁₉	—	2	1	no	—
242	C₂²⋊C₄×C₁₉	—	2	1	no	—
243	C₂²⋊C₄×C₁₉	—	2	1	no	—
244	C₂²⋊C₄×C₁₉	—	2	1	no	—
245	C₂²⋊C₄×C₁₉	—	2	1	no	—
246	C₂²⋊C₄×C₁₉	—	2	1	no	—
247	C₂²⋊C₄×C₁₉	—	2	1	no	—
248	C₄²×C₁₉	—	2	1	no	—
249	C₄²×C₁₉	—	2	1	no	—
250	C₄²×C₁₉	—	2	1	no	—
251	C₄²×C₁₉	—	2	1	no	—
252	C₄²×C₁₉	—	2	1	no	—
253	C₄²×C₁₉	—	2	1	no	—
254	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
255	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
256	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
257	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
258	C₄²×C₁₉	#41	1	2	yes	—
259	#23115	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
260	C₂³×C₁₉	—	2	1	no	—
261	C₂³×C₁₉	—	2	1	no	—
262	C₂³×C₁₉	—	2	1	no	—
263	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
264	Q₈×C₁₉	—	2	1	no	—
265	Q₈×C₁₉	—	2	1	no	—
266	Q₈×C₁₉	—	2	1	no	—
267	Q₈×C₁₉	—	2	1	no	—
268	Q₈×C₁₉	—	2	1	no	—
269	Q₈×C₁₉	—	2	1	no	—
270	D₄×C₁₉	—	2	1	no	—
271	D₄×C₁₉	—	2	1	no	—
272	D₄×C₁₉	—	2	1	no	—
273	D₄×C₁₉	—	2	1	no	—
274	D₄×C₁₉	—	2	1	no	—
275	D₄×C₁₉	—	2	1	no	—
276	D₄×C₁₉	—	4	2	no	—
277	D₄×C₁₉	—	4	1	no	—
278	D₄×C₁₉	—	4	1	no	—
279	D₄×C₁₉	—	4	1	no	—
280	D₄×C₁₉	—	4	1	no	—
281	D₄×C₁₉	—	4	1	no	—
282	D₄×C₁₉	—	4	1	no	—
283	D₄×C₁₉	—	8	1	no	—
284	C₂×C₄×C₁₉	—	2	1	no	—
285	C₂×C₄×C₁₉	—	2	1	no	—
286	C₂×C₄×C₁₉	—	2	1	no	—
287	C₂×C₄×C₁₉	—	2	1	no	—
288	C₂×C₄×C₁₉	—	2	1	no	—
289	C₂×C₄×C₁₉	—	2	2	no	—
290	C₂×C₄×C₁₉	—	4	1	no	—
291	C₂×C₄×C₁₉	—	4	1	no	—
292	C₂×C₄×C₁₉	—	4	2	no	—
293	C₂×C₄×C₁₉	—	4	1	no	—
294	C₂×C₄×C₁₉	—	4	1	no	—
295	C₂×C₄×C₁₉	—	4	1	no	—
296	C₂×C₄×C₁₉	—	4	1	no	—
297	C₂×C₄×C₁₉	—	4	1	no	—
298	C₂×C₄×C₁₉	—	4	1	no	—
299	C₂×C₄×C₁₉	—	4	1	no	—
300	C₂×C₄×C₁₉	—	4	1	no	—
301	C₂×C₄×C₁₉	—	4	1	no	—
302	C₂×C₄×C₁₉	—	4	1	no	—
303	C₂×C₄×C₁₉	—	4	1	no	—
304	C₂×C₄×C₁₉	—	8	1	no	—
305	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
306	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
307	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
308	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
309	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
310	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
312	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
313	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
314	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
315	C₈×C₁₉	—	2	1	no	—
316	C₈×C₁₉	—	2	1	no	—
317	C₈×C₁₉	—	2	1	no	—
318	C₈×C₁₉	—	2	1	no	—
319	C₈×C₁₉	—	2	1	no	—
320	C₈×C₁₉	—	2	1	no	—
321	C₈×C₁₉	—	2	1	no	—
322	C₈×C₁₉	—	2	1	no	—
323	C₈×C₁₉	—	2	2	no	—
324	C₈×C₁₉	—	4	1	no	—
325	C₈×C₁₉	—	4	1	no	—
326	C₈×C₁₉	—	4	1	no	—
327	#3035	C₂×C₁₉	1	1	yes	characteristic
328	#2935	C₂×C₁₉	1	1	yes	characteristic, complemented
329	#2925	C₂×C₁₉	1	1	yes	characteristic, complemented
330	#1975	C₂×C₁₉	1	1	yes	characteristic, complemented
331	#1974	C₂×C₁₉	1	1	yes	characteristic, complemented
332	#1963	C₂×C₁₉	1	1	yes	characteristic, complemented
333	#1950	C₂×C₁₉	1	1	yes	characteristic, complemented
334	#1929	C₂×C₁₉	1	1	yes	characteristic, complemented
335	#1929	C₂×C₁₉	1	1	yes	characteristic, complemented
336	#1876	C₂×C₁₉	1	1	yes	characteristic, complemented
337	#1876	C₂×C₁₉	1	1	yes	characteristic, complemented
338	#1768	C₂×C₁₉	1	1	yes	characteristic, complemented
339	#1765	C₂×C₁₉	1	1	yes	characteristic, complemented
340	#1764	C₂×C₁₉	1	1	yes	characteristic, complemented
341	#1759	C₂×C₁₉	1	1	yes	characteristic, complemented
342	C₂²×C₁₉	—	2	1	no	—
343	C₂²×C₁₉	—	2	1	no	—
344	C₂²×C₁₉	—	4	1	no	—
345	C₂²×C₁₉	—	4	1	no	—
346	C₂²×C₁₉	—	4	1	no	—
347	C₂²×C₁₉	—	4	1	no	—
348	C₂²×C₁₉	—	4	1	no	—
349	C₂²×C₁₉	—	4	1	no	—
350	C₂²×C₁₉	—	4	1	no	—
351	C₂²×C₁₉	—	4	1	no	—
352	C₂²×C₁₉	—	4	1	no	—
353	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
354	C₂²×C₁₉	#553	1	1	yes	characteristic
355	C₂²×C₁₉	#555	1	1	yes	characteristic
356	C₄×C₁₉	—	2	1	no	—
357	C₄×C₁₉	—	2	1	no	—
358	C₄×C₁₉	—	2	1	no	—
359	C₄×C₁₉	—	2	1	no	—
360	C₄×C₁₉	—	4	2	no	—
361	C₄×C₁₉	—	4	1	no	—
362	C₄×C₁₉	—	4	1	no	—
363	C₄×C₁₉	—	4	1	no	—
364	C₄×C₁₉	—	4	1	no	—
365	C₄×C₁₉	—	4	1	no	—
366	C₄×C₁₉	—	8	1	no	—
367	C₄×C₁₉	C₄×#41	1	1	yes	characteristic
368	C₄×C₁₉	#518	1	1	yes	characteristic
369	C₄×C₁₉	#546	1	1	yes	characteristic
370	C₄×C₁₉	#550	1	1	yes	characteristic
371	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
372	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
373	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
374	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
375	#532	C₂²×C₁₉	1	1	yes	characteristic
376	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
377	#464	C₄×C₁₉	1	1	yes	characteristic, complemented
378	#464	C₄×C₁₉	1	1	yes	characteristic, complemented
379	#463	C₄×C₁₉	1	1	yes	characteristic, complemented
380	#463	C₄×C₁₉	1	1	yes	characteristic, complemented
381	#462	C₄×C₁₉	1	1	yes	characteristic, complemented
382	#461	C₄×C₁₉	1	1	yes	characteristic, complemented
383	#460	C₄×C₁₉	1	1	yes	characteristic, complemented
384	#459	C₄×C₁₉	1	1	yes	characteristic, complemented
385	#436	—	2	1	no	—
386	#435	—	2	1	no	—
387	#435	—	2	1	no	—
388	C₈×D₄	—	2	1	no	—
389	#433	—	2	1	no	—
390	#433	—	2	1	no	—
391	#432	—	2	1	no	—
392	#431	—	2	1	no	—
393	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
394	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
395	#423	C₂²×C₁₉	1	1	yes	characteristic
396	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
397	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
398	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
399	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
400	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
401	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
402	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
403	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
404	#416	C₂²×C₁₉	1	1	yes	characteristic
405	#416	C₂²×C₁₉	1	1	yes	characteristic
406	#408	C₂²×C₁₉	1	1	yes	characteristic
407	#408	C₂²×C₁₉	1	1	yes	characteristic
408	#408	C₂²×C₁₉	1	1	yes	characteristic
409	#408	C₂²×C₁₉	1	1	yes	characteristic
410	#405	C₂²×C₁₉	1	1	yes	characteristic
411	#405	C₂²×C₁₉	1	1	yes	characteristic
412	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
414	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
415	#376	C₂²×C₁₉	1	1	yes	characteristic
416	#341	C₂²×C₁₉	1	1	yes	characteristic
417	#341	C₂²×C₁₉	1	1	yes	characteristic
418	#339	C₂²×C₁₉	1	1	yes	characteristic
419	#339	C₂²×C₁₉	1	1	yes	characteristic
420	#336	C₂²×C₁₉	1	1	yes	characteristic
421	#336	C₂²×C₁₉	1	1	yes	characteristic
422	C₂×C₁₉	—	2	1	no	—
423	C₂×C₁₉	—	2	1	no	—
424	C₂×C₁₉	—	8	1	no	—
425	C₂×C₁₉	—	8	1	no	—
426	C₂×C₁₉	—	8	1	no	—
427	C₂×C₁₉	#2363	1	1	yes	characteristic
428	C₂×C₁₉	#2955	1	1	yes	characteristic
429	C₂×C₁₉	#2957	1	1	yes	characteristic
430	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
431	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
432	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
433	#135	—	4	1	no	—
434	#135	—	4	1	no	—
435	#135	—	4	1	no	—
436	#135	—	4	1	no	—
437	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
438	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
439	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
440	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
441	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
442	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
443	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
444	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
445	#131	—	2	2	no	—
446	#131	—	2	2	no	—
447	#131	—	4	1	no	—
448	#131	—	4	1	no	—
449	C₂×M₁₆	—	2	1	no	—
450	C₂×M₁₆	—	2	1	no	—
451	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
452	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
453	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
454	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
455	C₂²×C₈	—	2	1	no	—
456	C₂²×C₈	—	2	1	no	—
457	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
458	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
459	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
460	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
461	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
462	#127	C₂×C₄×C₁₉	1	1	yes	characteristic
463	#124	C₂×C₄×C₁₉	1	1	yes	characteristic
464	#124	C₂×C₄×C₁₉	1	1	yes	characteristic
465	#121	—	2	1	no	—
466	#121	—	2	1	no	—
467	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
468	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
469	C₄×D₄	—	2	1	no	—
470	C₄×D₄	—	2	1	no	—
471	C₄×D₄	—	2	1	no	—
472	C₄×D₄	—	2	1	no	—
473	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
474	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
475	#117	—	2	1	no	—
476	#117	C₂³×C₁₉	1	1	yes	characteristic
477	C₂×C₄²	—	2	1	no	—
478	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
479	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
480	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
481	#108	—	4	1	no	—
482	#108	—	4	1	no	—
483	C₄⋊C₈	—	2	1	no	—
484	C₄⋊C₈	—	2	1	no	—
485	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
486	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
487	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
488	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
489	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
490	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
491	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
492	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
493	#104	—	2	2	no	—
494	#104	—	2	2	no	—
495	#104	—	2	2	no	—
496	#104	—	2	2	no	—
497	#104	—	4	1	no	—
498	#104	—	4	1	no	—
499	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
500	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
501	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
502	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
503	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
504	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
505	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
506	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
507	C₂²⋊C₈	—	2	1	no	—
508	C₂²⋊C₈	—	2	1	no	—
509	C₂²⋊C₈	—	2	1	no	—
510	C₂²⋊C₈	—	2	1	no	—
511	C₂²⋊C₈	—	2	1	no	—
512	C₂²⋊C₈	—	2	1	no	—
513	C₂²⋊C₈	—	2	1	no	—
514	C₂²⋊C₈	—	2	1	no	—
515	#97	—	2	1	no	—
516	#97	—	2	1	no	—
517	#97	—	2	1	no	—
518	#97	—	4	1	no	—
519	C₄×C₈	—	2	1	no	—
520	C₄×C₈	—	2	1	no	—
521	C₄×C₈	—	2	1	no	—
522	C₄×C₈	—	4	1	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	C₁₉	#23115	1	1	yes	characteristic, direct product factor, Sylow
526	#41	—	2	1	no	—
527	#41	—	2	1	no	—
528	#41	—	2	1	no	—
529	#41	—	2	1	no	—
530	#41	—	2	1	no	—
531	#41	—	2	1	no	—
532	#41	—	2	1	no	—
533	#41	—	2	1	no	—
534	#41	—	2	1	no	—
535	#41	—	2	1	no	—
536	#41	—	2	1	no	—
537	#41	—	2	1	no	—
538	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
539	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
540	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
547	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
548	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
557	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
558	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
559	Q₁₆	—	4	1	no	—
560	Q₁₆	—	4	1	no	—
561	SD₁₆	—	4	1	no	—
562	SD₁₆	—	4	1	no	—
563	SD₁₆	—	4	1	no	—
564	SD₁₆	—	4	1	no	—
565	D₈	—	4	1	no	—
566	D₈	—	4	1	no	—
567	M₁₆	—	2	1	no	—
568	M₁₆	—	2	1	no	—
569	M₁₆	—	2	1	no	—
570	M₁₆	—	2	1	no	—
571	M₁₆	—	2	1	no	—
572	M₁₆	—	2	1	no	—
573	M₁₆	—	2	1	no	—
574	M₁₆	—	4	2	no	—
575	M₁₆	—	4	2	no	—
576	M₁₆	#41×C₁₉	1	2	yes	—
577	C₂×C₈	—	2	1	no	—
578	C₂×C₈	—	2	1	no	—
579	C₂×C₈	—	2	1	no	—
580	C₂×C₈	—	2	1	no	—
581	C₂×C₈	—	2	1	no	—
582	C₂×C₈	—	2	1	no	—
583	C₂×C₈	—	2	1	no	—
584	C₂×C₈	—	2	1	no	—
585	C₂×C₈	—	2	1	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	4	2	no	—
590	C₂×C₈	—	4	2	no	—
591	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
592	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
593	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
594	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
595	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
596	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
597	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
598	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
599	C₄⋊C₄	—	2	1	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
604	C₄⋊C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
605	C₂²⋊C₄	—	2	1	no	—
606	C₂²⋊C₄	—	2	1	no	—
607	C₂²⋊C₄	—	2	1	no	—
608	C₂²⋊C₄	—	2	1	no	—
609	C₂²⋊C₄	—	2	1	no	—
610	C₂²⋊C₄	—	2	1	no	—
611	C₂²⋊C₄	—	2	1	no	—
612	C₄²	—	2	1	no	—
613	C₄²	—	2	1	no	—
614	C₄²	—	2	1	no	—
615	C₄²	—	2	1	no	—
616	C₄²	—	2	1	no	—
617	C₄²	—	2	1	no	—
618	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
619	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
620	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
621	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
622	C₄²	#41×C₁₉	1	2	yes	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
627	Q₈	—	2	1	no	—
628	Q₈	—	2	1	no	—
629	Q₈	—	2	1	no	—
630	Q₈	—	2	1	no	—
631	Q₈	—	2	1	no	—
632	Q₈	—	2	1	no	—
633	D₄	—	2	1	no	—
634	D₄	—	2	1	no	—
635	D₄	—	2	1	no	—
636	D₄	—	2	1	no	—
637	D₄	—	2	1	no	—
638	D₄	—	2	1	no	—
639	D₄	—	4	2	no	—
640	D₄	—	4	1	no	—
641	D₄	—	4	1	no	—
642	D₄	—	4	1	no	—
643	D₄	—	4	1	no	—
644	D₄	—	4	1	no	—
645	D₄	—	4	1	no	—
646	D₄	—	8	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	4	1	no	—
654	C₂×C₄	—	4	1	no	—
655	C₂×C₄	—	4	2	no	—
656	C₂×C₄	—	4	1	no	—
657	C₂×C₄	—	4	1	no	—
658	C₂×C₄	—	4	1	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	4	1	no	—
661	C₂×C₄	—	4	1	no	—
662	C₂×C₄	—	4	1	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	1	no	—
665	C₂×C₄	—	4	1	no	—
666	C₂×C₄	—	4	1	no	—
667	C₂×C₄	—	8	1	no	—
668	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
669	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
670	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
671	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
672	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
673	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
674	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
675	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
676	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
677	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
678	C₈	—	2	1	no	—
679	C₈	—	2	1	no	—
680	C₈	—	2	1	no	—
681	C₈	—	2	1	no	—
682	C₈	—	2	1	no	—
683	C₈	—	2	1	no	—
684	C₈	—	2	1	no	—
685	C₈	—	2	1	no	—
686	C₈	—	2	2	no	—
687	C₈	—	4	1	no	—
688	C₈	—	4	1	no	—
689	C₈	—	4	1	no	—
690	C₂²	—	2	1	no	—
691	C₂²	—	2	1	no	—
692	C₂²	—	4	1	no	—
693	C₂²	—	4	1	no	—
694	C₂²	—	4	1	no	—
695	C₂²	—	4	1	no	—
696	C₂²	—	4	1	no	—
697	C₂²	—	4	1	no	—
698	C₂²	—	4	1	no	—
699	C₂²	—	4	1	no	—
700	C₂²	—	4	1	no	—
701	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
702	C₂²	C₁₉×#553	1	1	yes	characteristic
703	C₂²	C₁₉×#555	1	1	yes	characteristic
704	C₄	—	2	1	no	—
705	C₄	—	2	1	no	—
706	C₄	—	2	1	no	—
707	C₄	—	2	1	no	—
708	C₄	—	4	2	no	—
709	C₄	—	4	1	no	—
710	C₄	—	4	1	no	—
711	C₄	—	4	1	no	—
712	C₄	—	4	1	no	—
713	C₄	—	4	1	no	—
714	C₄	—	8	1	no	—
715	C₄	C₄×#41×C₁₉	1	1	yes	characteristic
716	C₄	C₁₉×#518	1	1	yes	characteristic
717	C₄	C₁₉×#546	1	1	yes	characteristic
718	C₄	C₁₉×#550	1	1	yes	characteristic
719	C₂	—	2	1	no	—
720	C₂	—	2	1	no	—
721	C₂	—	8	1	no	—
722	C₂	—	8	1	no	—
723	C₂	—	8	1	no	—
724	C₂	C₁₉×#2363	1	1	yes	characteristic
725	C₂	C₁₉×#2955	1	1	yes	characteristic
726	C₂	C₁₉×#2957	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
socle	C₂²×C₁₉	C₂×C₄×D₄
prime radical	C₁₉×#3035	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₂×C₁₉×C₄⋊C₈ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2935	C₂	semidirect
3. C₁₉×#2925	C₂	semidirect
4. C₁₉×#1975	C₂	semidirect
5. C₁₉×#1974	C₂	semidirect
6. C₁₉×#1963	C₂	semidirect
7. C₁₉×#1950	C₂	semidirect
8. C₁₉×#1929	C₂	semidirect
9. C₁₉×#1929	C₂	semidirect
10. C₁₉×#1876	C₂	semidirect
11. C₁₉×#1876	C₂	semidirect
12. C₁₉×#1768	C₂	semidirect
13. C₁₉×#1765	C₂	semidirect
14. C₁₉×#1764	C₂	semidirect
15. C₁₉×#1759	C₂	semidirect
22. C₁₉×#464	C₄	semidirect
23. C₁₉×#464	C₄	semidirect
24. C₁₉×#463	C₄	semidirect
25. C₁₉×#463	C₄	semidirect
26. C₁₉×#462	C₄	semidirect
27. C₁₉×#461	C₄	semidirect
28. C₁₉×#460	C₄	semidirect
29. C₁₉×#459	C₄	semidirect
259. #23115	C₁₉	direct (N × H)
328. #2935	C₂×C₁₉	semidirect
329. #2925	C₂×C₁₉	semidirect
330. #1975	C₂×C₁₉	semidirect
331. #1974	C₂×C₁₉	semidirect
332. #1963	C₂×C₁₉	semidirect
333. #1950	C₂×C₁₉	semidirect
334. #1929	C₂×C₁₉	semidirect
335. #1929	C₂×C₁₉	semidirect
336. #1876	C₂×C₁₉	semidirect
337. #1876	C₂×C₁₉	semidirect
338. #1768	C₂×C₁₉	semidirect
339. #1765	C₂×C₁₉	semidirect
340. #1764	C₂×C₁₉	semidirect
341. #1759	C₂×C₁₉	semidirect
377. #464	C₄×C₁₉	semidirect
378. #464	C₄×C₁₉	semidirect
379. #463	C₄×C₁₉	semidirect
380. #463	C₄×C₁₉	semidirect
381. #462	C₄×C₁₉	semidirect
382. #461	C₄×C₁₉	semidirect
383. #460	C₄×C₁₉	semidirect
384. #459	C₄×C₁₉	semidirect
525. C₁₉	#23115	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×#3035	2
C₁₉×#2935	2
C₁₉×#2925	2
C₁₉×#1975	2
C₁₉×#1974	2
C₁₉×#1963	2
C₁₉×#1950	2
C₁₉×#1929	2
C₁₉×#1876	2
C₁₉×#1768	2
C₁₉×#1765	2
C₁₉×#1764	2
C₁₉×#1759	2
#23115	19

Subgroups — C19×#23115 #18029074

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#23115 #18029074