Subgroups — C₁₉×#20453 #18026412

Order 4864.

1126 conjugacy classes of subgroups.

The subgroup lattice has 322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#428	C₂	1	2	yes	maximal
2	C₂×C₁₉×#405	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2274	C₂	1	2	yes	maximal
4	C₁₉×#1776	C₂	1	4	yes	maximal, complemented
5	C₄×C₁₉×#107	C₂	1	2	yes	maximal, complemented
6	C₄×C₁₉×#106	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1735	C₂	1	1	yes	maximal, characteristic
8	C₂×C₁₉×#340	C₂	1	1	yes	maximal, characteristic
9	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
10	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×#117	C₂²	1	2	yes	—
12	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
14	C₁₉×#428	C₄	1	16	yes	complemented
15	C₂×C₁₉×#107	C₂²	1	4	yes	—
16	C₂×C₁₉×#106	C₂²	1	4	yes	—
17	C₁₉×#405	C₄	1	8	yes	complemented
18	C₂×C₁₉×#97	C₂²	1	2	yes	—
19	C₂×C₄×C₈×C₁₉	C₂²	1	2	yes	—
20	C₄×C₄⋊C₄×C₁₉	—	2	2	no	—
21	C₄×C₄⋊C₄×C₁₉	—	2	2	no	—
22	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
23	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
24	C₄×C₂²⋊C₄×C₁₉	—	2	4	no	—
25	C₁₉×#340	C₂²	1	2	yes	—
26	C₁₉×#340	C₂²	1	2	yes	—
27	C₁₉×#340	C₂²	1	1	yes	characteristic
28	C₁₉×#340	C₂²	1	1	yes	characteristic
29	C₁₉×#340	C₂²	1	2	yes	—
30	C₂³×C₄×C₁₉	—	2	2	no	—
31	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
32	C₂×M₁₆×C₁₉	C₂×C₄	1	4	yes	—
33	C₂×M₁₆×C₁₉	C₂×C₄	1	8	yes	—
34	C₂²×C₈×C₁₉	—	2	4	no	—
35	C₂²×C₈×C₁₉	C₂×C₄	1	4	yes	—
36	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
39	C₁₉×#117	—	2	4	no	—
40	C₁₉×#117	C₂×C₄	1	8	yes	—
41	C₁₉×#117	C₂×C₄	1	4	yes	—
42	C₁₉×#117	Q₈	1	4	yes	—
43	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
44	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	8	yes	—
46	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
47	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
48	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
49	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
50	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
51	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
52	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
53	C₂×C₄²×C₁₉	—	2	2	no	—
54	C₂×C₄²×C₁₉	—	2	4	no	—
55	C₂×C₄²×C₁₉	—	2	4	no	—
56	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
57	C₁₉×#107	C₂×C₄	1	16	yes	complemented
58	C₁₉×#106	C₂×C₄	1	16	yes	complemented
59	C₁₉×#97	C₂×C₄	1	8	yes	complemented
60	C₄×C₈×C₁₉	C₂×C₄	1	8	yes	complemented
61	C₁₉×#95	—	2	4	no	—
62	C₁₉×#95	—	2	4	no	—
63	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	—	2	2	no	—
65	C₂²×C₄×C₁₉	—	2	2	no	—
66	C₂²×C₄×C₁₉	—	2	4	no	—
67	C₂²×C₄×C₁₉	—	2	8	no	—
68	C₂²×C₄×C₁₉	—	8	2	no	—
69	C₂²×C₄×C₁₉	—	8	2	no	—
70	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
71	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
72	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
73	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
74	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
76	C₂²×C₄×C₁₉	#41	1	4	yes	—
77	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
78	M₁₆×C₁₉	C₄²	1	16	yes	complemented
79	C₂×C₈×C₁₉	—	2	8	no	—
80	C₂×C₈×C₁₉	—	2	2	no	—
81	C₂×C₈×C₁₉	—	2	2	no	—
82	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
83	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
84	C₂×C₈×C₁₉	C₂²×C₄	1	4	yes	—
85	C₂×C₈×C₁₉	C₂²×C₄	1	8	yes	—
86	C₄⋊C₄×C₁₉	—	2	8	no	—
87	C₄⋊C₄×C₁₉	—	2	4	no	—
88	C₄⋊C₄×C₁₉	—	2	2	no	—
89	C₄⋊C₄×C₁₉	—	2	2	no	—
90	C₄⋊C₄×C₁₉	C₄⋊C₄	1	4	yes	—
91	C₄⋊C₄×C₁₉	C₄⋊C₄	1	4	yes	—
92	C₄⋊C₄×C₁₉	C₂²×C₄	1	8	yes	—
93	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
94	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
95	C₂²⋊C₄×C₁₉	—	2	8	no	—
96	C₂²⋊C₄×C₁₉	C₄⋊C₄	1	8	yes	—
97	C₄²×C₁₉	—	2	8	no	—
98	C₄²×C₁₉	—	8	4	no	—
99	C₄²×C₁₉	—	8	4	no	—
100	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
101	C₄²×C₁₉	C₂×Q₈	1	4	yes	—
102	#20453	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
103	C₂³×C₁₉	—	2	1	no	—
104	C₂³×C₁₉	—	2	2	no	—
105	C₂³×C₁₉	—	2	1	no	—
106	C₂³×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
107	C₂³×C₁₉	C₄×D₄	1	4	yes	—
108	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
109	C₂×C₄×C₁₉	—	2	2	no	—
110	C₂×C₄×C₁₉	—	2	4	no	—
111	C₂×C₄×C₁₉	—	2	2	no	—
112	C₂×C₄×C₁₉	—	2	4	no	—
113	C₂×C₄×C₁₉	—	2	4	no	—
114	C₂×C₄×C₁₉	—	2	8	no	—
115	C₂×C₄×C₁₉	—	4	2	no	—
116	C₂×C₄×C₁₉	—	4	4	no	—
117	C₂×C₄×C₁₉	—	4	2	no	—
118	C₂×C₄×C₁₉	—	4	4	no	—
119	C₂×C₄×C₁₉	—	4	2	no	—
120	C₂×C₄×C₁₉	—	4	2	no	—
121	C₂×C₄×C₁₉	—	8	8	no	—
122	C₂×C₄×C₁₉	C₂×C₄²	1	4	yes	—
123	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
124	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
125	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
126	C₂×C₄×C₁₉	#117	1	4	yes	—
127	C₂×C₄×C₁₉	C₄×D₄	1	4	yes	—
128	C₂×C₄×C₁₉	C₄×Q₈	1	8	yes	—
129	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
130	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
131	C₂×C₄×C₁₉	C₂²×Q₈	1	1	yes	characteristic
132	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
133	C₈×C₁₉	—	2	2	no	—
134	C₈×C₁₉	—	2	2	no	—
135	C₈×C₁₉	C₂×C₄²	1	8	yes	—
136	C₂×#428	C₂×C₁₉	1	2	yes	—
137	C₂×#405	C₂×C₁₉	1	1	yes	characteristic
138	#2274	C₂×C₁₉	1	2	yes	—
139	#1776	C₂×C₁₉	1	4	yes	complemented
140	C₄×#107	C₂×C₁₉	1	2	yes	complemented
141	C₄×#106	C₂×C₁₉	1	2	yes	complemented
142	#1735	C₂×C₁₉	1	1	yes	characteristic
143	C₂×#340	C₂×C₁₉	1	1	yes	characteristic
144	C₂²×C₁₉	—	2	2	no	—
145	C₂²×C₁₉	—	2	2	no	—
146	C₂²×C₁₉	—	2	4	no	—
147	C₂²×C₁₉	—	2	4	no	—
148	C₂²×C₁₉	C₄×C₄⋊C₄	1	4	yes	—
149	C₂²×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
150	C₂²×C₁₉	C₂×C₄×D₄	1	2	yes	—
151	C₂²×C₁₉	#576	1	1	yes	characteristic
152	C₂²×C₁₉	#577	1	2	yes	—
153	C₂²×C₁₉	#578	1	1	yes	characteristic
154	C₄×C₁₉	—	2	4	no	—
155	C₄×C₁₉	—	2	4	no	—
156	C₄×C₁₉	—	4	4	no	—
157	C₄×C₁₉	—	4	8	no	—
158	C₄×C₁₉	—	4	4	no	—
159	C₄×C₁₉	C₄×C₄⋊C₄	1	4	yes	—
160	C₄×C₁₉	C₂²×C₄²	1	1	yes	characteristic
161	C₄×C₁₉	C₂×#117	1	1	yes	characteristic
162	C₄×C₁₉	C₂×C₄×Q₈	1	2	yes	—
163	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
164	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
165	C₂×#117	C₂²×C₁₉	1	2	yes	—
166	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
167	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
168	#428	C₄×C₁₉	1	16	yes	complemented
169	C₂×#107	C₂²×C₁₉	1	4	yes	—
170	C₂×#106	C₂²×C₁₉	1	4	yes	—
171	#405	C₄×C₁₉	1	8	yes	complemented
172	C₂×#97	C₂²×C₁₉	1	2	yes	—
173	C₂×C₄×C₈	C₂²×C₁₉	1	2	yes	—
174	C₄×C₄⋊C₄	—	2	2	no	—
175	C₄×C₄⋊C₄	—	2	2	no	—
176	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
177	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
178	C₄×C₂²⋊C₄	—	2	4	no	—
179	#340	C₂²×C₁₉	1	2	yes	—
180	#340	C₂²×C₁₉	1	2	yes	—
181	#340	C₂²×C₁₉	1	1	yes	characteristic
182	#340	C₂²×C₁₉	1	1	yes	characteristic
183	#340	C₂²×C₁₉	1	2	yes	—
184	C₂×C₁₉	—	2	4	no	—
185	C₂×C₁₉	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
186	C₂×C₁₉	#2912	1	1	yes	characteristic
187	C₂×C₁₉	#2913	1	1	yes	characteristic
188	C₂×C₁₉	#2946	1	2	yes	—
189	C₂×C₁₉	#2947	1	2	yes	—
190	C₂³×C₄	—	2	2	no	—
191	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
192	C₂×M₁₆	C₂×C₄×C₁₉	1	4	yes	—
193	C₂×M₁₆	C₂×C₄×C₁₉	1	8	yes	—
194	C₂²×C₈	—	2	4	no	—
195	C₂²×C₈	C₂×C₄×C₁₉	1	4	yes	—
196	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
197	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
198	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
199	#117	—	2	4	no	—
200	#117	C₂×C₄×C₁₉	1	8	yes	—
201	#117	C₂×C₄×C₁₉	1	4	yes	—
202	#117	Q₈×C₁₉	1	4	yes	—
203	C₂×C₄⋊C₄	—	2	2	no	—
204	C₂×C₄⋊C₄	—	2	4	no	—
205	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	8	yes	—
206	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
207	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
208	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
209	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
210	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
211	C₂×C₂²⋊C₄	—	2	2	no	—
212	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
213	C₂×C₄²	—	2	2	no	—
214	C₂×C₄²	—	2	4	no	—
215	C₂×C₄²	—	2	4	no	—
216	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
217	#107	C₂×C₄×C₁₉	1	16	yes	complemented
218	#106	C₂×C₄×C₁₉	1	16	yes	complemented
219	#97	C₂×C₄×C₁₉	1	8	yes	complemented
220	C₄×C₈	C₂×C₄×C₁₉	1	8	yes	complemented
221	#95	—	2	4	no	—
222	#95	—	2	4	no	—
223	C₁₉	#20453	1	1	yes	characteristic, direct product factor, Sylow
224	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
225	C₂²×C₄	—	2	2	no	—
226	C₂²×C₄	—	2	2	no	—
227	C₂²×C₄	—	2	4	no	—
228	C₂²×C₄	—	2	8	no	—
229	C₂²×C₄	—	8	2	no	—
230	C₂²×C₄	—	8	2	no	—
231	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
232	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
233	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
234	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
235	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
236	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
237	C₂²×C₄	#41×C₁₉	1	4	yes	—
238	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
239	M₁₆	C₄²×C₁₉	1	16	yes	complemented
240	C₂×C₈	—	2	8	no	—
241	C₂×C₈	—	2	2	no	—
242	C₂×C₈	—	2	2	no	—
243	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
244	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
245	C₂×C₈	C₂²×C₄×C₁₉	1	4	yes	—
246	C₂×C₈	C₂²×C₄×C₁₉	1	8	yes	—
247	C₄⋊C₄	—	2	8	no	—
248	C₄⋊C₄	—	2	4	no	—
249	C₄⋊C₄	—	2	2	no	—
250	C₄⋊C₄	—	2	2	no	—
251	C₄⋊C₄	C₄⋊C₄×C₁₉	1	4	yes	—
252	C₄⋊C₄	C₄⋊C₄×C₁₉	1	4	yes	—
253	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
254	C₄⋊C₄	C₂²×C₄×C₁₉	1	8	yes	—
255	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
256	C₂²⋊C₄	—	2	8	no	—
257	C₂²⋊C₄	C₄⋊C₄×C₁₉	1	8	yes	—
258	C₄²	—	2	8	no	—
259	C₄²	—	8	4	no	—
260	C₄²	—	8	4	no	—
261	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
262	C₄²	C₂×Q₈×C₁₉	1	4	yes	—
263	C₂³	—	2	1	no	—
264	C₂³	—	2	2	no	—
265	C₂³	—	2	1	no	—
266	C₂³	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
267	C₂³	C₄×D₄×C₁₉	1	4	yes	—
268	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
269	C₂×C₄	—	2	2	no	—
270	C₂×C₄	—	2	4	no	—
271	C₂×C₄	—	2	2	no	—
272	C₂×C₄	—	2	4	no	—
273	C₂×C₄	—	2	4	no	—
274	C₂×C₄	—	2	8	no	—
275	C₂×C₄	—	4	2	no	—
276	C₂×C₄	—	4	4	no	—
277	C₂×C₄	—	4	2	no	—
278	C₂×C₄	—	4	4	no	—
279	C₂×C₄	—	4	2	no	—
280	C₂×C₄	—	4	2	no	—
281	C₂×C₄	—	8	8	no	—
282	C₂×C₄	C₂×C₄²×C₁₉	1	4	yes	—
283	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
284	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
285	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
286	C₂×C₄	C₁₉×#117	1	4	yes	—
287	C₂×C₄	C₄×D₄×C₁₉	1	4	yes	—
288	C₂×C₄	C₄×Q₈×C₁₉	1	8	yes	—
289	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
290	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
291	C₂×C₄	C₂²×Q₈×C₁₉	1	1	yes	characteristic
292	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
293	C₈	—	2	2	no	—
294	C₈	—	2	2	no	—
295	C₈	C₂×C₄²×C₁₉	1	8	yes	—
296	C₂²	—	2	2	no	—
297	C₂²	—	2	2	no	—
298	C₂²	—	2	4	no	—
299	C₂²	—	2	4	no	—
300	C₂²	C₄×C₄⋊C₄×C₁₉	1	4	yes	—
301	C₂²	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
302	C₂²	C₂×C₄×D₄×C₁₉	1	2	yes	—
303	C₂²	C₁₉×#576	1	1	yes	characteristic
304	C₂²	C₁₉×#577	1	2	yes	—
305	C₂²	C₁₉×#578	1	1	yes	characteristic
306	C₄	—	2	4	no	—
307	C₄	—	2	4	no	—
308	C₄	—	4	8	no	—
309	C₄	—	4	4	no	—
310	C₄	—	4	4	no	—
311	C₄	C₄×C₄⋊C₄×C₁₉	1	4	yes	—
312	C₄	C₂²×C₄²×C₁₉	1	1	yes	characteristic
313	C₄	C₂×C₁₉×#117	1	1	yes	characteristic
314	C₄	C₂×C₄×Q₈×C₁₉	1	2	yes	—
315	C₂	—	2	4	no	—
316	C₂	C₂×C₄×C₄⋊C₄×C₁₉	1	1	yes	characteristic
317	C₂	C₁₉×#2912	1	1	yes	characteristic
318	C₂	C₁₉×#2913	1	1	yes	characteristic
319	C₂	C₁₉×#2946	1	2	yes	—
320	C₂	C₁₉×#2947	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator	C₄	C₂²×C₄²×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂⁴×C₁₉	C₂×D₄
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₁₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1776	C₂	semidirect
5. C₄×C₁₉×#107	C₂	semidirect
6. C₄×C₁₉×#106	C₂	semidirect
14. C₁₉×#428	C₄	semidirect
17. C₁₉×#405	C₄	semidirect
57. C₁₉×#107	C₂×C₄	semidirect
58. C₁₉×#106	C₂×C₄	semidirect
59. C₁₉×#97	C₂×C₄	semidirect
60. C₄×C₈×C₁₉	C₂×C₄	semidirect
78. M₁₆×C₁₉	C₄²	semidirect
102. #20453	C₁₉	direct (N × H)
139. #1776	C₂×C₁₉	semidirect
140. C₄×#107	C₂×C₁₉	semidirect
141. C₄×#106	C₂×C₁₉	semidirect
168. #428	C₄×C₁₉	semidirect
171. #405	C₄×C₁₉	semidirect
217. #107	C₂×C₄×C₁₉	semidirect
218. #106	C₂×C₄×C₁₉	semidirect
219. #97	C₂×C₄×C₁₉	semidirect
220. C₄×C₈	C₂×C₄×C₁₉	semidirect
223. C₁₉	#20453	direct (N × H)
239. M₁₆	C₄²×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#428	2
C₂×C₁₉×#405	2
C₁₉×#2274	2
C₁₉×#1776	2
C₄×C₁₉×#107	2
C₄×C₁₉×#106	2
C₁₉×#1735	2
C₂×C₁₉×#340	2
#20453	19

Subgroups — C19×#20453 #18026412

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#20453 #18026412