Subgroups — C₁₉×#22302 #18028261

Order 4864.

598 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2402	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1940	C₂	1	2	yes	maximal
3	C₁₉×#1940	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1940	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1939	C₂	1	2	yes	maximal
6	C₁₉×#1917	C₂	1	2	yes	maximal
7	C₁₉×#1916	C₂	1	2	yes	maximal
8	C₁₉×#1843	C₂	1	1	yes	maximal, characteristic
9	C₁₉×#1770	C₂	1	1	yes	maximal, characteristic
10	C₈×C₄⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
11	C₁₉×#1746	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
16	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
17	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
18	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#97	C₂²	1	2	yes	—
20	C₂×C₄×C₈×C₁₉	C₂²	1	2	yes	—
21	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
22	C₁₉×#400	C₄	1	2	yes	—
23	C₁₉×#400	C₄	1	2	yes	—
24	C₁₉×#398	C₄	1	2	yes	—
25	C₁₉×#398	C₄	1	2	yes	—
26	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
27	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₁₉×#376	C₂²	1	1	yes	characteristic
31	C₁₉×#336	C₂²	1	1	yes	characteristic
32	C₁₉×#336	C₂²	1	2	yes	—
33	C₁₉×#336	C₂²	1	2	yes	—
34	C₁₉×#336	C₂²	1	2	yes	—
35	C₁₉×#336	C₂²	1	1	yes	characteristic
36	C₁₉×#336	C₂²	1	2	yes	—
37	C₁₉×#336	C₂²	1	1	yes	characteristic
38	C₁₉×#336	C₂²	1	1	yes	characteristic
39	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
40	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
41	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
42	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
43	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
46	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
49	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
50	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
52	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
53	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
54	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
55	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
56	C₁₉×C₄⋊C₈	—	2	2	no	—
57	C₁₉×C₄⋊C₈	—	2	2	no	—
58	C₁₉×C₄⋊C₈	—	4	2	no	—
59	C₁₉×C₄⋊C₈	—	4	2	no	—
60	C₁₉×C₄⋊C₈	—	4	2	no	—
61	C₁₉×C₄⋊C₈	—	4	2	no	—
62	C₁₉×#97	—	2	2	no	—
63	C₁₉×#97	—	4	2	no	—
64	C₄×C₈×C₁₉	—	4	2	no	—
65	C₄×C₈×C₁₉	Q₈	1	4	yes	—
66	C₁₉×#95	C₂×C₄	1	2	yes	—
67	C₁₉×#95	C₂×C₄	1	2	yes	—
68	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
69	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
70	C₁₉×#95	C₂×C₄	1	2	yes	—
71	C₁₉×#95	C₂×C₄	1	2	yes	—
72	C₁₉×#95	C₂×C₄	1	2	yes	—
73	C₁₉×#95	C₂×C₄	1	2	yes	—
74	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
75	C₁₉×#95	C₂×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
77	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
79	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
85	C₂×C₈×C₁₉	—	2	1	no	—
86	C₂×C₈×C₁₉	—	2	1	no	—
87	C₂×C₈×C₁₉	—	2	1	no	—
88	C₂×C₈×C₁₉	—	2	1	no	—
89	C₂×C₈×C₁₉	—	2	1	no	—
90	C₂×C₈×C₁₉	—	2	1	no	—
91	C₂×C₈×C₁₉	—	2	2	no	—
92	C₂×C₈×C₁₉	—	2	2	no	—
93	C₂×C₈×C₁₉	—	2	2	no	—
94	C₂×C₈×C₁₉	—	2	2	no	—
95	C₂×C₈×C₁₉	—	2	2	no	—
96	C₂×C₈×C₁₉	—	2	1	no	—
97	C₂×C₈×C₁₉	—	2	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	C₂×Q₈	1	2	yes	—
102	C₂×C₈×C₁₉	C₂×Q₈	1	2	yes	—
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	4	no	—
105	C₄⋊C₄×C₁₉	—	2	4	no	—
106	C₄⋊C₄×C₁₉	—	4	2	no	—
107	C₄⋊C₄×C₁₉	—	4	2	no	—
108	C₄⋊C₄×C₁₉	—	4	2	no	—
109	C₄²×C₁₉	—	2	2	no	—
110	C₄²×C₁₉	—	2	2	no	—
111	C₄²×C₁₉	—	2	1	no	—
112	C₄²×C₁₉	—	2	1	no	—
113	C₄²×C₁₉	—	2	2	no	—
114	C₄²×C₁₉	—	2	1	no	—
115	C₄²×C₁₉	—	2	1	no	—
116	C₄²×C₁₉	—	2	2	no	—
117	C₄²×C₁₉	C₂×Q₈	1	2	yes	—
118	C₄²×C₁₉	#41	1	2	yes	—
119	#22302	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
120	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
121	C₂×C₄×C₁₉	—	2	2	no	—
122	C₂×C₄×C₁₉	—	2	2	no	—
123	C₂×C₄×C₁₉	—	2	2	no	—
124	C₂×C₄×C₁₉	—	2	2	no	—
125	C₂×C₄×C₁₉	—	2	2	no	—
126	C₂×C₄×C₁₉	—	2	2	no	—
127	C₂×C₄×C₁₉	—	2	2	no	—
128	C₂×C₄×C₁₉	—	2	2	no	—
129	C₂×C₄×C₁₉	—	2	2	no	—
130	C₂×C₄×C₁₉	—	2	2	no	—
131	C₂×C₄×C₁₉	—	2	2	no	—
132	C₂×C₄×C₁₉	—	2	2	no	—
133	C₂×C₄×C₁₉	—	2	2	no	—
134	C₂×C₄×C₁₉	—	2	2	no	—
135	C₂×C₄×C₁₉	—	2	2	no	—
136	C₂×C₄×C₁₉	—	2	2	no	—
137	C₂×C₄×C₁₉	—	2	2	no	—
138	C₂×C₄×C₁₉	—	2	2	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	C₄×Q₈	1	2	yes	—
141	C₂×C₄×C₁₉	C₄×Q₈	1	2	yes	—
142	C₂×C₄×C₁₉	#131	1	4	yes	—
143	C₂×C₄×C₁₉	C₂²×Q₈	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
145	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
146	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
147	C₂×C₄×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
148	C₂×C₄×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
149	C₈×C₁₉	—	2	2	no	—
150	C₈×C₁₉	—	2	2	no	—
151	C₈×C₁₉	—	4	1	no	—
152	C₈×C₁₉	—	4	2	no	—
153	C₈×C₁₉	—	4	2	no	—
154	C₈×C₁₉	—	4	1	no	—
155	#2402	C₂×C₁₉	1	1	yes	characteristic
156	#1940	C₂×C₁₉	1	1	yes	characteristic
157	#1940	C₂×C₁₉	1	1	yes	characteristic
158	#1940	C₂×C₁₉	1	2	yes	—
159	#1939	C₂×C₁₉	1	2	yes	—
160	#1917	C₂×C₁₉	1	2	yes	—
161	#1916	C₂×C₁₉	1	2	yes	—
162	#1843	C₂×C₁₉	1	1	yes	characteristic
163	#1770	C₂×C₁₉	1	1	yes	characteristic
164	C₈×C₄⋊C₄	C₂×C₁₉	1	1	yes	characteristic
165	#1746	C₂×C₁₉	1	1	yes	characteristic
166	C₂²×C₁₉	C₂×C₄×Q₈	1	1	yes	characteristic
167	C₂²×C₁₉	#520	1	1	yes	characteristic
168	C₂²×C₁₉	#520	1	1	yes	characteristic
169	C₂²×C₁₉	C₂×#131	1	2	yes	—
170	C₂²×C₁₉	#568	1	2	yes	—
171	C₄×C₁₉	—	2	2	no	—
172	C₄×C₁₉	—	2	2	no	—
173	C₄×C₁₉	—	2	4	no	—
174	C₄×C₁₉	—	4	2	no	—
175	C₄×C₁₉	—	4	2	no	—
176	C₄×C₁₉	—	4	2	no	—
177	C₄×C₁₉	—	4	2	no	—
178	C₄×C₁₉	—	4	2	no	—
179	C₄×C₁₉	#540	1	1	yes	characteristic
180	C₄×C₁₉	#541	1	1	yes	characteristic
181	C₄×C₁₉	#544	1	1	yes	characteristic
182	C₄×C₁₉	#544	1	1	yes	characteristic
183	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
184	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
185	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
186	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
187	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
188	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
189	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
190	C₂×#97	C₂²×C₁₉	1	2	yes	—
191	C₂×C₄×C₈	C₂²×C₁₉	1	2	yes	—
192	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
193	#400	C₄×C₁₉	1	2	yes	—
194	#400	C₄×C₁₉	1	2	yes	—
195	#398	C₄×C₁₉	1	2	yes	—
196	#398	C₄×C₁₉	1	2	yes	—
197	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
198	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
199	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
200	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
201	#376	C₂²×C₁₉	1	1	yes	characteristic
202	#336	C₂²×C₁₉	1	1	yes	characteristic
203	#336	C₂²×C₁₉	1	2	yes	—
204	#336	C₂²×C₁₉	1	2	yes	—
205	#336	C₂²×C₁₉	1	2	yes	—
206	#336	C₂²×C₁₉	1	1	yes	characteristic
207	#336	C₂²×C₁₉	1	2	yes	—
208	#336	C₂²×C₁₉	1	1	yes	characteristic
209	#336	C₂²×C₁₉	1	1	yes	characteristic
210	C₂×C₁₉	#2330	1	1	yes	characteristic
211	C₂×C₁₉	#2960	1	1	yes	characteristic
212	C₂×C₁₉	#2961	1	1	yes	characteristic
213	C₂×C₁₉	#2992	1	2	yes	—
214	C₂×C₁₉	#2993	1	2	yes	—
215	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
216	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
217	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
218	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
219	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
220	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
221	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
222	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
223	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
224	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
225	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
226	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
227	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
228	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
229	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
230	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
231	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
232	C₄⋊C₈	—	2	2	no	—
233	C₄⋊C₈	—	2	2	no	—
234	C₄⋊C₈	—	4	2	no	—
235	C₄⋊C₈	—	4	2	no	—
236	C₄⋊C₈	—	4	2	no	—
237	C₄⋊C₈	—	4	2	no	—
238	#97	—	2	2	no	—
239	#97	—	4	2	no	—
240	C₄×C₈	—	4	2	no	—
241	C₄×C₈	Q₈×C₁₉	1	4	yes	—
242	#95	C₂×C₄×C₁₉	1	2	yes	—
243	#95	C₂×C₄×C₁₉	1	2	yes	—
244	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
245	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
246	#95	C₂×C₄×C₁₉	1	2	yes	—
247	#95	C₂×C₄×C₁₉	1	2	yes	—
248	#95	C₂×C₄×C₁₉	1	2	yes	—
249	#95	C₂×C₄×C₁₉	1	2	yes	—
250	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
251	#95	C₂×C₄×C₁₉	1	1	yes	characteristic
252	C₁₉	#22302	1	1	yes	characteristic, direct product factor, Sylow
253	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
254	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
255	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
256	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
257	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
258	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
259	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
260	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
261	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
262	C₂×C₈	—	2	1	no	—
263	C₂×C₈	—	2	1	no	—
264	C₂×C₈	—	2	1	no	—
265	C₂×C₈	—	2	1	no	—
266	C₂×C₈	—	2	1	no	—
267	C₂×C₈	—	2	1	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	2	no	—
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	1	no	—
274	C₂×C₈	—	2	1	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	1	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	C₂×Q₈×C₁₉	1	2	yes	—
279	C₂×C₈	C₂×Q₈×C₁₉	1	2	yes	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	2	4	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₄²	—	2	2	no	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	1	no	—
289	C₄²	—	2	1	no	—
290	C₄²	—	2	2	no	—
291	C₄²	—	2	1	no	—
292	C₄²	—	2	1	no	—
293	C₄²	—	2	2	no	—
294	C₄²	C₂×Q₈×C₁₉	1	2	yes	—
295	C₄²	#41×C₁₉	1	2	yes	—
296	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	C₄×Q₈×C₁₉	1	2	yes	—
317	C₂×C₄	C₄×Q₈×C₁₉	1	2	yes	—
318	C₂×C₄	C₁₉×#131	1	4	yes	—
319	C₂×C₄	C₂²×Q₈×C₁₉	1	1	yes	characteristic
320	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
321	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
322	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
323	C₂×C₄	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
324	C₂×C₄	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
325	C₈	—	2	2	no	—
326	C₈	—	2	2	no	—
327	C₈	—	4	1	no	—
328	C₈	—	4	2	no	—
329	C₈	—	4	2	no	—
330	C₈	—	4	1	no	—
331	C₂²	C₂×C₄×Q₈×C₁₉	1	1	yes	characteristic
332	C₂²	C₁₉×#520	1	1	yes	characteristic
333	C₂²	C₁₉×#520	1	1	yes	characteristic
334	C₂²	C₂×C₁₉×#131	1	2	yes	—
335	C₂²	C₁₉×#568	1	2	yes	—
336	C₄	—	2	2	no	—
337	C₄	—	2	2	no	—
338	C₄	—	2	4	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	2	no	—
341	C₄	—	4	2	no	—
342	C₄	—	4	2	no	—
343	C₄	—	4	2	no	—
344	C₄	C₁₉×#540	1	1	yes	characteristic
345	C₄	C₁₉×#541	1	1	yes	characteristic
346	C₄	C₁₉×#544	1	1	yes	characteristic
347	C₄	C₁₉×#544	1	1	yes	characteristic
348	C₂	C₁₉×#2330	1	1	yes	characteristic
349	C₂	C₁₉×#2960	1	1	yes	characteristic
350	C₂	C₁₉×#2961	1	1	yes	characteristic
351	C₂	C₁₉×#2992	1	2	yes	—
352	C₂	C₁₉×#2993	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
119. #22302	C₁₉	direct (N × H)
252. C₁₉	#22302	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×#2402	2
C₁₉×#1940	2
C₁₉×#1939	2
C₁₉×#1917	2
C₁₉×#1916	2
C₁₉×#1843	2
C₁₉×#1770	2
C₈×C₄⋊C₄×C₁₉	2
C₁₉×#1746	2
#22302	19

Subgroups — C19×#22302 #18028261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#22302 #18028261