Subgroups — C₁₉×#21407 #18027366

Order 4864.

1154 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	C₂×C₁₉×#533	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₉×#97	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2283	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1993	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1960	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1892	C₂	1	4	yes	maximal
7	C₁₉×#1763	C₂	1	4	yes	maximal, complemented
8	C₂³×C₈×C₁₉	C₂²	1	2	yes	—
9	C₁₉×#533	—	2	4	no	—
10	C₁₉×#533	C₄	1	8	yes	complemented
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×#125	—	2	1	no	—
14	C₂×C₁₉×C₂²⋊Q₈	—	2	1	no	—
15	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
16	C₂×C₄×Q₈×C₁₉	—	2	1	no	—
17	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
18	C₂×C₁₉×#117	—	2	1	no	—
19	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#103	C₂²	1	8	yes	—
21	C₂×C₁₉×#97	—	2	4	no	—
22	C₂×C₁₉×#97	C₂²	1	2	yes	—
23	C₂×C₁₉×#97	C₂²	1	2	yes	—
24	C₁₉×#383	—	2	1	no	—
25	C₁₉×#382	C₂²	1	2	yes	—
26	C₁₉×#381	—	2	1	no	—
27	C₁₉×#380	C₂²	1	2	yes	—
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
29	C₄×C₂²⋊C₄×C₁₉	—	2	1	no	—
30	C₁₉×#376	—	2	1	no	—
31	C₁₉×#340	C₂²	1	8	yes	—
32	C₂²×Q₈×C₁₉	—	2	1	no	—
33	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
34	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
35	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₉	—	2	4	no	—
38	C₂²×C₈×C₁₉	—	2	8	no	—
39	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
40	C₁₉×C₄⋊Q₈	—	2	2	no	—
41	C₁₉×C₄⋊Q₈	—	2	2	no	—
42	C₁₉×C₄⋊Q₈	C₂×C₄	1	4	yes	—
43	C₁₉×C₄⋊Q₈	C₂×C₄	1	4	yes	—
44	C₁₉×#125	—	2	8	no	—
45	C₁₉×C₂²⋊Q₈	—	2	8	no	—
46	C₁₉×C₂²⋊Q₈	—	2	4	no	—
47	C₁₉×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
48	C₄×Q₈×C₁₉	—	2	8	no	—
49	C₄×Q₈×C₁₉	—	2	4	no	—
50	C₄×Q₈×C₁₉	C₂×C₄	1	8	yes	—
51	C₁₉×#117	—	2	8	no	—
52	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
55	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
56	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
57	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
58	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
60	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
61	C₂×C₄²×C₁₉	—	2	2	no	—
62	C₂×C₄²×C₁₉	—	2	2	no	—
63	C₂×C₄²×C₁₉	C₂×C₄	1	4	yes	—
64	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
65	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
66	C₂×C₄²×C₁₉	D₄	1	4	yes	—
67	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
68	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
69	C₁₉×#103	—	2	16	no	—
70	C₁₉×#97	—	2	4	no	—
71	C₁₉×#97	—	2	4	no	—
72	C₁₉×#95	—	2	2	no	—
73	C₁₉×#95	—	2	2	no	—
74	C₁₉×#95	—	2	2	no	—
75	C₁₉×#95	—	2	2	no	—
76	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
77	C₂×Q₈×C₁₉	—	2	4	no	—
78	C₂×Q₈×C₁₉	—	2	2	no	—
79	C₂×Q₈×C₁₉	—	2	8	no	—
80	C₂×Q₈×C₁₉	—	4	4	no	—
81	C₂×Q₈×C₁₉	C₂²×C₄	1	4	yes	—
82	C₂²×C₄×C₁₉	—	2	4	no	—
83	C₂²×C₄×C₁₉	—	2	4	no	—
84	C₂²×C₄×C₁₉	—	2	2	no	—
85	C₂²×C₄×C₁₉	—	2	2	no	—
86	C₂²×C₄×C₁₉	—	2	4	no	—
87	C₂²×C₄×C₁₉	—	4	2	no	—
88	C₂²×C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
89	C₂²×C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
90	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
91	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
98	C₂×C₈×C₁₉	—	2	16	no	—
99	C₂×C₈×C₁₉	—	2	4	no	—
100	C₂×C₈×C₁₉	—	2	4	no	—
101	C₂×C₈×C₁₉	#41	1	8	yes	—
102	C₄⋊C₄×C₁₉	—	2	4	no	—
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	4	no	—
105	C₄⋊C₄×C₁₉	—	2	8	no	—
106	C₄⋊C₄×C₁₉	—	2	8	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	8	no	—
109	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
110	C₂²⋊C₄×C₁₉	—	2	8	no	—
111	C₂²⋊C₄×C₁₉	—	4	4	no	—
112	C₄²×C₁₉	—	2	8	no	—
113	C₄²×C₁₉	—	4	4	no	—
114	C₄²×C₁₉	C₂²⋊C₄	1	4	yes	—
115	C₄²×C₁₉	C₂²⋊C₄	1	4	yes	—
116	C₄²×C₁₉	C₂²×C₄	1	2	yes	—
117	C₄²×C₁₉	C₂²×C₄	1	2	yes	—
118	C₄²×C₁₉	C₂×D₄	1	2	yes	—
119	C₄²×C₁₉	C₂×D₄	1	2	yes	—
120	#21407	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
121	C₂³×C₁₉	—	2	2	no	—
122	C₂³×C₁₉	—	2	2	no	—
123	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
124	C₂³×C₁₉	#137	1	4	yes	—
125	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
126	Q₈×C₁₉	—	2	8	no	—
127	Q₈×C₁₉	—	4	8	no	—
128	Q₈×C₁₉	—	4	4	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	8	no	—
135	C₂×C₄×C₁₉	—	2	4	no	—
136	C₂×C₄×C₁₉	—	2	4	no	—
137	C₂×C₄×C₁₉	—	2	4	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	4	4	no	—
140	C₂×C₄×C₁₉	—	4	4	no	—
141	C₂×C₄×C₁₉	—	4	4	no	—
142	C₂×C₄×C₁₉	—	4	4	no	—
143	C₂×C₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	4	4	no	—
145	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
146	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
147	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
148	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
149	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
150	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₉	C₂×#41	1	4	yes	—
153	C₈×C₁₉	—	2	8	no	—
154	C₂×#533	C₂×C₁₉	1	1	yes	characteristic
155	C₂²×#97	C₂×C₁₉	1	1	yes	characteristic
156	#2283	C₂×C₁₉	1	1	yes	characteristic
157	#1993	C₂×C₁₉	1	2	yes	complemented
158	#1960	C₂×C₁₉	1	2	yes	complemented
159	#1892	C₂×C₁₉	1	4	yes	—
160	#1763	C₂×C₁₉	1	4	yes	complemented
161	C₂²×C₁₉	—	2	2	no	—
162	C₂²×C₁₉	—	2	8	no	—
163	C₂²×C₁₉	—	2	2	no	—
164	C₂²×C₁₉	#419	1	4	yes	—
165	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
166	C₂²×C₁₉	#532	1	2	yes	—
167	C₂²×C₁₉	C₂×#137	1	2	yes	—
168	C₂²×C₁₉	#575	1	2	yes	—
169	C₄×C₁₉	—	2	2	no	—
170	C₄×C₁₉	—	2	2	no	—
171	C₄×C₁₉	—	2	2	no	—
172	C₄×C₁₉	—	2	2	no	—
173	C₄×C₁₉	—	2	2	no	—
174	C₄×C₁₉	—	4	4	no	—
175	C₄×C₁₉	—	4	4	no	—
176	C₄×C₁₉	—	8	4	no	—
177	C₄×C₁₉	C₄×#41	1	2	yes	—
178	C₄×C₁₉	#525	1	2	yes	—
179	C₂³×C₈	C₂²×C₁₉	1	2	yes	—
180	#533	—	2	4	no	—
181	#533	C₄×C₁₉	1	8	yes	complemented
182	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
183	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
184	C₂×#125	—	2	1	no	—
185	C₂×C₂²⋊Q₈	—	2	1	no	—
186	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
187	C₂×C₄×Q₈	—	2	1	no	—
188	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
189	C₂×#117	—	2	1	no	—
190	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
191	C₂×#103	C₂²×C₁₉	1	8	yes	—
192	C₂×#97	—	2	4	no	—
193	C₂×#97	C₂²×C₁₉	1	2	yes	—
194	C₂×#97	C₂²×C₁₉	1	2	yes	—
195	#383	—	2	1	no	—
196	#382	C₂²×C₁₉	1	2	yes	—
197	#381	—	2	1	no	—
198	#380	C₂²×C₁₉	1	2	yes	—
199	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
200	C₄×C₂²⋊C₄	—	2	1	no	—
201	#376	—	2	1	no	—
202	#340	C₂²×C₁₉	1	8	yes	—
203	C₂×C₁₉	—	2	4	no	—
204	C₂×C₁₉	#2297	1	1	yes	characteristic
205	C₂×C₁₉	C₂×#419	1	1	yes	characteristic
206	C₂×C₁₉	#2896	1	1	yes	characteristic
207	C₂×C₁₉	#3181	1	4	yes	—
208	C₂²×Q₈	—	2	1	no	—
209	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
210	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
211	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
212	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
213	C₂²×C₈	—	2	4	no	—
214	C₂²×C₈	—	2	8	no	—
215	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
216	C₄⋊Q₈	—	2	2	no	—
217	C₄⋊Q₈	—	2	2	no	—
218	C₄⋊Q₈	C₂×C₄×C₁₉	1	4	yes	—
219	C₄⋊Q₈	C₂×C₄×C₁₉	1	4	yes	—
220	#125	—	2	8	no	—
221	C₂²⋊Q₈	—	2	8	no	—
222	C₂²⋊Q₈	—	2	4	no	—
223	C₂²⋊Q₈	C₂×C₄×C₁₉	1	8	yes	—
224	C₄×Q₈	—	2	8	no	—
225	C₄×Q₈	—	2	4	no	—
226	C₄×Q₈	C₂×C₄×C₁₉	1	8	yes	—
227	#117	—	2	8	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	—	2	2	no	—
232	C₂×C₄⋊C₄	—	2	2	no	—
233	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
234	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
235	C₂×C₂²⋊C₄	—	2	2	no	—
236	C₂×C₂²⋊C₄	—	2	2	no	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	C₂×C₄×C₁₉	1	4	yes	—
240	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
241	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
242	C₂×C₄²	D₄×C₁₉	1	4	yes	—
243	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
244	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
245	#103	—	2	16	no	—
246	#97	—	2	4	no	—
247	#97	—	2	4	no	—
248	#95	—	2	2	no	—
249	#95	—	2	2	no	—
250	#95	—	2	2	no	—
251	#95	—	2	2	no	—
252	C₁₉	#21407	1	1	yes	characteristic, direct product factor, Sylow
253	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
254	C₂×Q₈	—	2	4	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	2	8	no	—
257	C₂×Q₈	—	4	4	no	—
258	C₂×Q₈	C₂²×C₄×C₁₉	1	4	yes	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	—	2	4	no	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	2	2	no	—
263	C₂²×C₄	—	2	4	no	—
264	C₂²×C₄	—	4	2	no	—
265	C₂²×C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
266	C₂²×C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
267	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
268	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
269	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
270	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
271	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
272	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
273	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
274	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
275	C₂×C₈	—	2	16	no	—
276	C₂×C₈	—	2	4	no	—
277	C₂×C₈	—	2	4	no	—
278	C₂×C₈	#41×C₁₉	1	8	yes	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	2	8	no	—
283	C₄⋊C₄	—	2	8	no	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	8	no	—
286	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
287	C₂²⋊C₄	—	2	8	no	—
288	C₂²⋊C₄	—	4	4	no	—
289	C₄²	—	2	8	no	—
290	C₄²	—	4	4	no	—
291	C₄²	C₂²⋊C₄×C₁₉	1	4	yes	—
292	C₄²	C₂²⋊C₄×C₁₉	1	4	yes	—
293	C₄²	C₂²×C₄×C₁₉	1	2	yes	—
294	C₄²	C₂²×C₄×C₁₉	1	2	yes	—
295	C₄²	C₂×D₄×C₁₉	1	2	yes	—
296	C₄²	C₂×D₄×C₁₉	1	2	yes	—
297	C₂³	—	2	2	no	—
298	C₂³	—	2	2	no	—
299	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
300	C₂³	C₁₉×#137	1	4	yes	—
301	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
302	Q₈	—	2	8	no	—
303	Q₈	—	4	8	no	—
304	Q₈	—	4	4	no	—
305	C₂×C₄	—	2	8	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	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	4	4	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	4	4	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	4	no	—
321	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
322	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
323	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
324	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
325	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
326	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
327	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
328	C₂×C₄	C₂×#41×C₁₉	1	4	yes	—
329	C₈	—	2	8	no	—
330	C₂²	—	2	8	no	—
331	C₂²	—	2	2	no	—
332	C₂²	—	2	2	no	—
333	C₂²	C₁₉×#419	1	4	yes	—
334	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
335	C₂²	C₁₉×#532	1	2	yes	—
336	C₂²	C₂×C₁₉×#137	1	2	yes	—
337	C₂²	C₁₉×#575	1	2	yes	—
338	C₄	—	2	2	no	—
339	C₄	—	2	2	no	—
340	C₄	—	2	2	no	—
341	C₄	—	2	2	no	—
342	C₄	—	2	2	no	—
343	C₄	—	4	4	no	—
344	C₄	—	4	4	no	—
345	C₄	—	8	4	no	—
346	C₄	C₄×#41×C₁₉	1	2	yes	—
347	C₄	C₁₉×#525	1	2	yes	—
348	C₂	—	2	4	no	—
349	C₂	C₁₉×#2297	1	1	yes	characteristic
350	C₂	C₂×C₁₉×#419	1	1	yes	characteristic
351	C₂	C₁₉×#2896	1	1	yes	characteristic
352	C₂	C₁₉×#3181	1	4	yes	—

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

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1993	C₂	semidirect
5. C₁₉×#1960	C₂	semidirect
7. C₁₉×#1763	C₂	semidirect
10. C₁₉×#533	C₄	semidirect
120. #21407	C₁₉	direct (N × H)
157. #1993	C₂×C₁₉	semidirect
158. #1960	C₂×C₁₉	semidirect
160. #1763	C₂×C₁₉	semidirect
181. #533	C₄×C₁₉	semidirect
252. C₁₉	#21407	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×#533	2
C₂²×C₁₉×#97	2
C₁₉×#2283	2
C₁₉×#1993	2
C₁₉×#1960	2
C₁₉×#1892	2
C₁₉×#1763	2
#21407	19

Subgroups — C19×#21407 #18027366

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#21407 #18027366