Subgroups — C₁₉×#22580 #18028539

Order 4864.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#418	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2347	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1936	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1934	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1926	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1925	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1864	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1862	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1825	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1809	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1786	C₂	1	1	yes	maximal, characteristic
13	C₁₉×#1762	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₉×#102	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1753	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
21	C₂²×C₂²⋊C₄×C₁₉	—	2	1	no	—
22	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
24	C₁₉×#418	C₄	1	8	yes	complemented
25	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
27	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
28	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
29	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
30	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
31	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
32	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
33	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#390	C₂²	1	1	yes	characteristic
37	C₁₉×#390	C₂²	1	1	yes	characteristic
38	C₁₉×#389	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#389	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#388	—	2	1	no	—
41	C₁₉×#388	—	2	1	no	—
42	C₁₉×#386	—	2	1	no	—
43	C₁₉×#386	—	2	1	no	—
44	C₁₉×#383	—	2	1	no	—
45	C₁₉×#380	C₂²	1	1	yes	characteristic
46	C₁₉×#380	C₂²	1	1	yes	characteristic
47	C₁₉×#379	—	2	1	no	—
48	C₄×C₄⋊C₄×C₁₉	—	2	1	no	—
49	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
50	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
51	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
52	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
55	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
56	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#340	C₂²	1	1	yes	characteristic, complemented
58	C₁₉×#336	C₂²	1	1	yes	characteristic, complemented
59	C₁₉×#336	C₂²	1	1	yes	characteristic, complemented
60	C₂⁵×C₁₉	—	2	1	no	—
61	C₂²×D₄×C₁₉	—	2	2	no	—
62	C₂²×D₄×C₁₉	—	2	2	no	—
63	C₂²×D₄×C₁₉	—	2	1	no	—
64	C₂²×D₄×C₁₉	—	2	2	no	—
65	C₂²×D₄×C₁₉	—	4	1	no	—
66	C₂²×D₄×C₁₉	—	4	1	no	—
67	C₂²×D₄×C₁₉	C₂×C₄	1	4	yes	—
68	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₉	—	2	1	no	—
71	C₂³×C₄×C₁₉	—	2	1	no	—
72	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
73	C₂×M₁₆×C₁₉	—	4	1	no	—
74	C₂×M₁₆×C₁₉	—	4	1	no	—
75	C₂×M₁₆×C₁₉	C₂×C₄	1	4	yes	complemented
76	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
78	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
79	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
80	C₄×D₄×C₁₉	—	2	2	no	—
81	C₄×D₄×C₁₉	—	2	2	no	—
82	C₄×D₄×C₁₉	—	4	1	no	—
83	C₄×D₄×C₁₉	—	4	1	no	—
84	C₁₉×#117	—	2	2	no	—
85	C₁₉×#117	C₂×C₄	1	4	yes	complemented
86	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
87	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
88	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
90	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
91	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
92	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
94	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
96	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
97	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
98	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
99	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
100	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
101	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
102	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
103	C₂×C₂²⋊C₄×C₁₉	—	4	4	no	—
104	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
105	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
106	C₂×C₄²×C₁₉	—	2	1	no	—
107	C₂×C₄²×C₁₉	—	2	1	no	—
108	C₂×C₄²×C₁₉	—	2	1	no	—
109	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
110	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
111	C₁₉×#107	—	4	1	no	—
112	C₁₉×#106	—	4	1	no	—
113	C₁₉×#102	—	2	2	no	—
114	C₁₉×#102	—	2	2	no	—
115	C₁₉×#102	—	4	1	no	—
116	C₁₉×#102	—	4	1	no	—
117	C₁₉×#102	C₂×C₄	1	4	yes	—
118	C₁₉×#102	C₂×C₄	1	4	yes	—
119	C₁₉×#102	C₂×C₄	1	4	yes	complemented
120	C₁₉×#102	C₂×C₄	1	4	yes	complemented
121	C₁₉×C₂²⋊C₈	—	2	2	no	—
122	C₁₉×#97	—	4	1	no	—
123	C₄×C₈×C₁₉	—	4	1	no	—
124	C₁₉×#95	—	2	1	no	—
125	C₁₉×#95	—	2	1	no	—
126	C₁₉×#95	—	2	1	no	—
127	C₁₉×#95	—	2	1	no	—
128	C₁₉×#95	—	2	1	no	—
129	C₁₉×#95	—	2	1	no	—
130	C₁₉×#95	D₄	1	1	yes	characteristic
131	C₁₉×#95	D₄	1	1	yes	characteristic
132	C₂⁴×C₁₉	—	2	1	no	—
133	C₂⁴×C₁₉	—	2	1	no	—
134	C₂⁴×C₁₉	—	2	4	no	—
135	C₂⁴×C₁₉	—	4	2	no	—
136	C₂⁴×C₁₉	—	4	2	no	—
137	C₂⁴×C₁₉	—	4	2	no	—
138	C₂⁴×C₁₉	—	4	2	no	—
139	C₂⁴×C₁₉	—	8	1	no	—
140	C₂⁴×C₁₉	—	8	1	no	—
141	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
142	C₂×D₄×C₁₉	—	2	8	no	—
143	C₂×D₄×C₁₉	—	2	4	no	—
144	C₂×D₄×C₁₉	—	2	1	no	—
145	C₂×D₄×C₁₉	—	2	1	no	—
146	C₂×D₄×C₁₉	—	2	1	no	—
147	C₂×D₄×C₁₉	—	2	1	no	—
148	C₂×D₄×C₁₉	—	2	1	no	—
149	C₂×D₄×C₁₉	—	2	1	no	—
150	C₂×D₄×C₁₉	—	2	1	no	—
151	C₂×D₄×C₁₉	—	2	1	no	—
152	C₂×D₄×C₁₉	—	4	4	no	—
153	C₂×D₄×C₁₉	—	4	4	no	—
154	C₂×D₄×C₁₉	—	4	4	no	—
155	C₂×D₄×C₁₉	—	4	2	no	—
156	C₂×D₄×C₁₉	—	4	2	no	—
157	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
158	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
159	C₂×D₄×C₁₉	#41	1	2	yes	—
160	C₂×D₄×C₁₉	#41	1	2	yes	—
161	C₂²×C₄×C₁₉	—	2	1	no	—
162	C₂²×C₄×C₁₉	—	2	1	no	—
163	C₂²×C₄×C₁₉	—	2	1	no	—
164	C₂²×C₄×C₁₉	—	2	1	no	—
165	C₂²×C₄×C₁₉	—	2	1	no	—
166	C₂²×C₄×C₁₉	—	2	1	no	—
167	C₂²×C₄×C₁₉	—	2	1	no	—
168	C₂²×C₄×C₁₉	—	2	1	no	—
169	C₂²×C₄×C₁₉	—	2	1	no	—
170	C₂²×C₄×C₁₉	—	2	1	no	—
171	C₂²×C₄×C₁₉	—	4	2	no	—
172	C₂²×C₄×C₁₉	—	4	2	no	—
173	C₂²×C₄×C₁₉	—	4	2	no	—
174	C₂²×C₄×C₁₉	—	4	2	no	—
175	C₂²×C₄×C₁₉	—	8	1	no	—
176	C₂²×C₄×C₁₉	—	8	1	no	—
177	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
178	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
179	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
180	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
181	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₉	#41	1	2	yes	—
184	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
185	M₁₆×C₁₉	—	4	4	no	—
186	C₂×C₈×C₁₉	—	2	1	no	—
187	C₂×C₈×C₁₉	—	2	1	no	—
188	C₂×C₈×C₁₉	—	2	1	no	—
189	C₂×C₈×C₁₉	—	2	1	no	—
190	C₂×C₈×C₁₉	—	2	1	no	—
191	C₂×C₈×C₁₉	—	2	1	no	—
192	C₂×C₈×C₁₉	—	2	1	no	—
193	C₂×C₈×C₁₉	—	2	1	no	—
194	C₂×C₈×C₁₉	—	2	1	no	—
195	C₂×C₈×C₁₉	—	2	1	no	—
196	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
197	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
198	C₄⋊C₄×C₁₉	—	2	1	no	—
199	C₄⋊C₄×C₁₉	—	2	1	no	—
200	C₄⋊C₄×C₁₉	—	2	1	no	—
201	C₄⋊C₄×C₁₉	—	2	1	no	—
202	C₄⋊C₄×C₁₉	—	2	1	no	—
203	C₄⋊C₄×C₁₉	—	2	1	no	—
204	C₄⋊C₄×C₁₉	—	2	1	no	—
205	C₄⋊C₄×C₁₉	—	2	1	no	—
206	C₄⋊C₄×C₁₉	—	2	1	no	—
207	C₄⋊C₄×C₁₉	—	2	1	no	—
208	C₄⋊C₄×C₁₉	—	4	2	no	—
209	C₄⋊C₄×C₁₉	—	4	2	no	—
210	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
211	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
212	C₂²⋊C₄×C₁₉	—	2	4	no	—
213	C₂²⋊C₄×C₁₉	—	2	2	no	—
214	C₂²⋊C₄×C₁₉	—	4	1	no	—
215	C₂²⋊C₄×C₁₉	—	4	2	no	—
216	C₂²⋊C₄×C₁₉	—	4	2	no	—
217	C₂²⋊C₄×C₁₉	—	4	2	no	—
218	C₂²⋊C₄×C₁₉	—	4	2	no	—
219	C₂²⋊C₄×C₁₉	—	4	2	no	—
220	C₂²⋊C₄×C₁₉	—	8	1	no	—
221	C₂²⋊C₄×C₁₉	—	8	1	no	—
222	C₂²⋊C₄×C₁₉	—	8	1	no	—
223	C₄²×C₁₉	—	2	4	no	—
224	C₄²×C₁₉	—	2	1	no	—
225	C₄²×C₁₉	—	2	1	no	—
226	C₄²×C₁₉	—	2	1	no	—
227	C₄²×C₁₉	—	2	1	no	—
228	C₄²×C₁₉	—	8	1	no	—
229	C₄²×C₁₉	—	8	1	no	—
230	#22580	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₂³×C₁₉	—	2	2	no	—
232	C₂³×C₁₉	—	2	2	no	—
233	C₂³×C₁₉	—	2	2	no	—
234	C₂³×C₁₉	—	2	1	no	—
235	C₂³×C₁₉	—	2	1	no	—
236	C₂³×C₁₉	—	2	1	no	—
237	C₂³×C₁₉	—	2	1	no	—
238	C₂³×C₁₉	—	2	1	no	—
239	C₂³×C₁₉	—	2	1	no	—
240	C₂³×C₁₉	—	2	2	no	—
241	C₂³×C₁₉	—	4	8	no	—
242	C₂³×C₁₉	—	4	8	no	—
243	C₂³×C₁₉	—	4	1	no	—
244	C₂³×C₁₉	—	4	1	no	—
245	C₂³×C₁₉	—	4	1	no	—
246	C₂³×C₁₉	—	4	1	no	—
247	C₂³×C₁₉	—	4	1	no	—
248	C₂³×C₁₉	—	4	1	no	—
249	C₂³×C₁₉	—	4	1	no	—
250	C₂³×C₁₉	—	4	1	no	—
251	C₂³×C₁₉	—	4	1	no	—
252	C₂³×C₁₉	—	4	1	no	—
253	C₂³×C₁₉	—	8	4	no	—
254	C₂³×C₁₉	—	8	4	no	—
255	C₂³×C₁₉	—	8	4	no	—
256	C₂³×C₁₉	—	8	4	no	—
257	C₂³×C₁₉	—	8	4	no	—
258	C₂³×C₁₉	C₄×D₄	1	2	yes	—
259	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
260	D₄×C₁₉	—	2	2	no	—
261	D₄×C₁₉	—	2	2	no	—
262	D₄×C₁₉	—	2	2	no	—
263	D₄×C₁₉	—	2	2	no	—
264	D₄×C₁₉	—	2	2	no	—
265	D₄×C₁₉	—	4	8	no	—
266	D₄×C₁₉	—	4	1	no	—
267	D₄×C₁₉	—	4	1	no	—
268	D₄×C₁₉	#117	1	4	yes	—
269	C₂×C₄×C₁₉	—	2	1	no	—
270	C₂×C₄×C₁₉	—	2	1	no	—
271	C₂×C₄×C₁₉	—	2	1	no	—
272	C₂×C₄×C₁₉	—	2	1	no	—
273	C₂×C₄×C₁₉	—	2	2	no	—
274	C₂×C₄×C₁₉	—	2	2	no	—
275	C₂×C₄×C₁₉	—	2	2	no	—
276	C₂×C₄×C₁₉	—	2	2	no	—
277	C₂×C₄×C₁₉	—	2	2	no	—
278	C₂×C₄×C₁₉	—	2	2	no	—
279	C₂×C₄×C₁₉	—	2	1	no	—
280	C₂×C₄×C₁₉	—	2	1	no	—
281	C₂×C₄×C₁₉	—	2	1	no	—
282	C₂×C₄×C₁₉	—	2	1	no	—
283	C₂×C₄×C₁₉	—	2	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	—	4	1	no	—
289	C₂×C₄×C₁₉	—	4	1	no	—
290	C₂×C₄×C₁₉	—	4	1	no	—
291	C₂×C₄×C₁₉	—	4	1	no	—
292	C₂×C₄×C₁₉	—	4	1	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	4	no	—
305	C₂×C₄×C₁₉	—	8	4	no	—
306	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
307	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
308	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
309	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
310	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
311	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
312	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
313	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
314	C₈×C₁₉	—	2	2	no	—
315	C₈×C₁₉	—	2	2	no	—
316	C₈×C₁₉	—	4	1	no	—
317	C₈×C₁₉	—	4	1	no	—
318	C₂×#418	C₂×C₁₉	1	1	yes	characteristic
319	#2347	C₂×C₁₉	1	1	yes	characteristic, complemented
320	D₄×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic
321	#1936	C₂×C₁₉	1	1	yes	characteristic, complemented
322	#1934	C₂×C₁₉	1	1	yes	characteristic, complemented
323	#1926	C₂×C₁₉	1	1	yes	characteristic, complemented
324	#1925	C₂×C₁₉	1	1	yes	characteristic, complemented
325	#1864	C₂×C₁₉	1	1	yes	characteristic, complemented
326	#1862	C₂×C₁₉	1	1	yes	characteristic, complemented
327	#1825	C₂×C₁₉	1	1	yes	characteristic, complemented
328	#1809	C₂×C₁₉	1	1	yes	characteristic, complemented
329	#1786	C₂×C₁₉	1	1	yes	characteristic
330	#1762	C₂×C₁₉	1	1	yes	characteristic, complemented
331	C₄×#102	C₂×C₁₉	1	1	yes	characteristic, complemented
332	#1753	C₂×C₁₉	1	1	yes	characteristic, complemented
333	C₂²×C₁₉	—	2	2	no	—
334	C₂²×C₁₉	—	2	4	no	—
335	C₂²×C₁₉	—	2	2	no	—
336	C₂²×C₁₉	—	2	2	no	—
337	C₂²×C₁₉	—	4	2	no	—
338	C₂²×C₁₉	—	4	2	no	—
339	C₂²×C₁₉	—	4	1	no	—
340	C₂²×C₁₉	—	4	2	no	—
341	C₂²×C₁₉	—	4	2	no	—
342	C₂²×C₁₉	—	4	1	no	—
343	C₂²×C₁₉	—	4	1	no	—
344	C₂²×C₁₉	—	4	2	no	—
345	C₂²×C₁₉	—	4	2	no	—
346	C₂²×C₁₉	—	4	1	no	—
347	C₂²×C₁₉	—	4	2	no	—
348	C₂²×C₁₉	—	4	2	no	—
349	C₂²×C₁₉	—	4	2	no	—
350	C₂²×C₁₉	—	8	16	no	—
351	C₂²×C₁₉	—	8	1	no	—
352	C₂²×C₁₉	—	8	1	no	—
353	C₂²×C₁₉	—	8	1	no	—
354	C₂²×C₁₉	—	8	1	no	—
355	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
356	C₂²×C₁₉	#546	1	1	yes	characteristic
357	C₂²×C₁₉	#546	1	1	yes	characteristic
358	C₂²×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
359	C₂²×C₁₉	#575	1	1	yes	characteristic
360	C₂²×C₁₉	#576	1	1	yes	characteristic
361	C₂²×C₁₉	#577	1	1	yes	characteristic
362	C₄×C₁₉	—	2	2	no	—
363	C₄×C₁₉	—	2	2	no	—
364	C₄×C₁₉	—	4	2	no	—
365	C₄×C₁₉	—	4	2	no	—
366	C₄×C₁₉	—	4	1	no	—
367	C₄×C₁₉	—	4	1	no	—
368	C₄×C₁₉	—	4	1	no	—
369	C₄×C₁₉	—	8	1	no	—
370	C₄×C₁₉	—	8	1	no	—
371	C₄×C₁₉	—	8	1	no	—
372	C₄×C₁₉	—	8	1	no	—
373	C₄×C₁₉	C₂×#117	1	1	yes	characteristic
374	C₄×C₁₉	#518	1	1	yes	characteristic
375	C₄×C₁₉	#551	1	1	yes	characteristic
376	C₄×C₁₉	#551	1	1	yes	characteristic
377	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
378	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
379	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
380	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
381	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
382	C₂²×C₂²⋊C₄	—	2	1	no	—
383	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
384	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
385	#418	C₄×C₁₉	1	8	yes	complemented
386	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
387	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
388	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
389	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
390	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
391	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
392	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
393	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
394	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
395	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic, complemented
396	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
397	#390	C₂²×C₁₉	1	1	yes	characteristic
398	#390	C₂²×C₁₉	1	1	yes	characteristic
399	#389	C₂²×C₁₉	1	1	yes	characteristic, complemented
400	#389	C₂²×C₁₉	1	1	yes	characteristic, complemented
401	#388	—	2	1	no	—
402	#388	—	2	1	no	—
403	#386	—	2	1	no	—
404	#386	—	2	1	no	—
405	#383	—	2	1	no	—
406	#380	C₂²×C₁₉	1	1	yes	characteristic
407	#380	C₂²×C₁₉	1	1	yes	characteristic
408	#379	—	2	1	no	—
409	C₄×C₄⋊C₄	—	2	1	no	—
410	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
411	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
412	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
413	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
414	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
415	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
416	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
417	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
418	#340	C₂²×C₁₉	1	1	yes	characteristic, complemented
419	#336	C₂²×C₁₉	1	1	yes	characteristic, complemented
420	#336	C₂²×C₁₉	1	1	yes	characteristic, complemented
421	C₂×C₁₉	—	4	2	no	—
422	C₂×C₁₉	—	4	4	no	—
423	C₂×C₁₉	—	8	2	no	—
424	C₂×C₁₉	#2342	1	1	yes	characteristic
425	C₂×C₁₉	C₄×AGL(1,ℤ/8)	1	1	yes	characteristic
426	C₂×C₁₉	#2946	1	1	yes	characteristic
427	C₂×C₁₉	#3311	1	1	yes	characteristic
428	C₂×C₁₉	#3318	1	1	yes	characteristic
429	C₂×C₁₉	#3322	1	1	yes	characteristic
430	C₂×C₁₉	#3324	1	1	yes	characteristic
431	C₂⁵	—	2	1	no	—
432	C₂²×D₄	—	2	2	no	—
433	C₂²×D₄	—	2	2	no	—
434	C₂²×D₄	—	2	1	no	—
435	C₂²×D₄	—	2	2	no	—
436	C₂²×D₄	—	4	1	no	—
437	C₂²×D₄	—	4	1	no	—
438	C₂²×D₄	C₂×C₄×C₁₉	1	4	yes	—
439	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
440	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
441	C₂³×C₄	—	2	1	no	—
442	C₂³×C₄	—	2	1	no	—
443	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
444	C₂×M₁₆	—	4	1	no	—
445	C₂×M₁₆	—	4	1	no	—
446	C₂×M₁₆	C₂×C₄×C₁₉	1	4	yes	complemented
447	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
448	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
449	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
450	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
451	C₄×D₄	—	2	2	no	—
452	C₄×D₄	—	2	2	no	—
453	C₄×D₄	—	4	1	no	—
454	C₄×D₄	—	4	1	no	—
455	#117	—	2	2	no	—
456	#117	C₂×C₄×C₁₉	1	4	yes	complemented
457	C₂×C₄⋊C₄	—	2	1	no	—
458	C₂×C₄⋊C₄	—	2	1	no	—
459	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
460	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
461	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
462	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
463	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
464	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
465	C₂×C₂²⋊C₄	—	2	1	no	—
466	C₂×C₂²⋊C₄	—	2	1	no	—
467	C₂×C₂²⋊C₄	—	2	1	no	—
468	C₂×C₂²⋊C₄	—	2	1	no	—
469	C₂×C₂²⋊C₄	—	2	1	no	—
470	C₂×C₂²⋊C₄	—	2	1	no	—
471	C₂×C₂²⋊C₄	—	2	1	no	—
472	C₂×C₂²⋊C₄	—	2	1	no	—
473	C₂×C₂²⋊C₄	—	2	1	no	—
474	C₂×C₂²⋊C₄	—	4	4	no	—
475	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
476	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
477	C₂×C₄²	—	2	1	no	—
478	C₂×C₄²	—	2	1	no	—
479	C₂×C₄²	—	2	1	no	—
480	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
481	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
482	#107	—	4	1	no	—
483	#106	—	4	1	no	—
484	#102	—	2	2	no	—
485	#102	—	2	2	no	—
486	#102	—	4	1	no	—
487	#102	—	4	1	no	—
488	#102	C₂×C₄×C₁₉	1	4	yes	—
489	#102	C₂×C₄×C₁₉	1	4	yes	—
490	#102	C₂×C₄×C₁₉	1	4	yes	complemented
491	#102	C₂×C₄×C₁₉	1	4	yes	complemented
492	C₂²⋊C₈	—	2	2	no	—
493	#97	—	4	1	no	—
494	C₄×C₈	—	4	1	no	—
495	#95	—	2	1	no	—
496	#95	—	2	1	no	—
497	#95	—	2	1	no	—
498	#95	—	2	1	no	—
499	#95	—	2	1	no	—
500	#95	—	2	1	no	—
501	#95	D₄×C₁₉	1	1	yes	characteristic
502	#95	D₄×C₁₉	1	1	yes	characteristic
503	C₁₉	#22580	1	1	yes	characteristic, direct product factor, Sylow
504	C₂⁴	—	2	1	no	—
505	C₂⁴	—	2	1	no	—
506	C₂⁴	—	2	4	no	—
507	C₂⁴	—	4	2	no	—
508	C₂⁴	—	4	2	no	—
509	C₂⁴	—	4	2	no	—
510	C₂⁴	—	4	2	no	—
511	C₂⁴	—	8	1	no	—
512	C₂⁴	—	8	1	no	—
513	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
514	C₂×D₄	—	2	8	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	1	no	—
517	C₂×D₄	—	2	1	no	—
518	C₂×D₄	—	2	1	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	1	no	—
521	C₂×D₄	—	2	1	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	2	1	no	—
524	C₂×D₄	—	4	4	no	—
525	C₂×D₄	—	4	4	no	—
526	C₂×D₄	—	4	4	no	—
527	C₂×D₄	—	4	2	no	—
528	C₂×D₄	—	4	2	no	—
529	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
530	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
531	C₂×D₄	#41×C₁₉	1	2	yes	—
532	C₂×D₄	#41×C₁₉	1	2	yes	—
533	C₂²×C₄	—	2	1	no	—
534	C₂²×C₄	—	2	1	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	1	no	—
537	C₂²×C₄	—	2	1	no	—
538	C₂²×C₄	—	2	1	no	—
539	C₂²×C₄	—	2	1	no	—
540	C₂²×C₄	—	2	1	no	—
541	C₂²×C₄	—	2	1	no	—
542	C₂²×C₄	—	2	1	no	—
543	C₂²×C₄	—	4	2	no	—
544	C₂²×C₄	—	4	2	no	—
545	C₂²×C₄	—	4	2	no	—
546	C₂²×C₄	—	4	2	no	—
547	C₂²×C₄	—	8	1	no	—
548	C₂²×C₄	—	8	1	no	—
549	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
550	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
552	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
553	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
554	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
555	C₂²×C₄	#41×C₁₉	1	2	yes	—
556	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
557	M₁₆	—	4	4	no	—
558	C₂×C₈	—	2	1	no	—
559	C₂×C₈	—	2	1	no	—
560	C₂×C₈	—	2	1	no	—
561	C₂×C₈	—	2	1	no	—
562	C₂×C₈	—	2	1	no	—
563	C₂×C₈	—	2	1	no	—
564	C₂×C₈	—	2	1	no	—
565	C₂×C₈	—	2	1	no	—
566	C₂×C₈	—	2	1	no	—
567	C₂×C₈	—	2	1	no	—
568	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
569	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
570	C₄⋊C₄	—	2	1	no	—
571	C₄⋊C₄	—	2	1	no	—
572	C₄⋊C₄	—	2	1	no	—
573	C₄⋊C₄	—	2	1	no	—
574	C₄⋊C₄	—	2	1	no	—
575	C₄⋊C₄	—	2	1	no	—
576	C₄⋊C₄	—	2	1	no	—
577	C₄⋊C₄	—	2	1	no	—
578	C₄⋊C₄	—	2	1	no	—
579	C₄⋊C₄	—	2	1	no	—
580	C₄⋊C₄	—	4	2	no	—
581	C₄⋊C₄	—	4	2	no	—
582	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
583	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
584	C₂²⋊C₄	—	2	4	no	—
585	C₂²⋊C₄	—	2	2	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	2	no	—
588	C₂²⋊C₄	—	4	2	no	—
589	C₂²⋊C₄	—	4	2	no	—
590	C₂²⋊C₄	—	4	2	no	—
591	C₂²⋊C₄	—	4	2	no	—
592	C₂²⋊C₄	—	8	1	no	—
593	C₂²⋊C₄	—	8	1	no	—
594	C₂²⋊C₄	—	8	1	no	—
595	C₄²	—	2	4	no	—
596	C₄²	—	2	1	no	—
597	C₄²	—	2	1	no	—
598	C₄²	—	2	1	no	—
599	C₄²	—	2	1	no	—
600	C₄²	—	8	1	no	—
601	C₄²	—	8	1	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	2	2	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	1	no	—
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	2	no	—
612	C₂³	—	4	8	no	—
613	C₂³	—	4	8	no	—
614	C₂³	—	4	1	no	—
615	C₂³	—	4	1	no	—
616	C₂³	—	4	1	no	—
617	C₂³	—	4	1	no	—
618	C₂³	—	4	1	no	—
619	C₂³	—	4	1	no	—
620	C₂³	—	4	1	no	—
621	C₂³	—	4	1	no	—
622	C₂³	—	4	1	no	—
623	C₂³	—	4	1	no	—
624	C₂³	—	8	4	no	—
625	C₂³	—	8	4	no	—
626	C₂³	—	8	4	no	—
627	C₂³	—	8	4	no	—
628	C₂³	—	8	4	no	—
629	C₂³	C₄×D₄×C₁₉	1	2	yes	—
630	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
631	D₄	—	2	2	no	—
632	D₄	—	2	2	no	—
633	D₄	—	2	2	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	2	no	—
636	D₄	—	4	8	no	—
637	D₄	—	4	1	no	—
638	D₄	—	4	1	no	—
639	D₄	C₁₉×#117	1	4	yes	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	2	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	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	—	4	1	no	—
668	C₂×C₄	—	4	1	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	8	4	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
678	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
679	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
680	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
681	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
682	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
683	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
685	C₈	—	2	2	no	—
686	C₈	—	2	2	no	—
687	C₈	—	4	1	no	—
688	C₈	—	4	1	no	—
689	C₂²	—	2	2	no	—
690	C₂²	—	2	2	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	4	no	—
693	C₂²	—	4	2	no	—
694	C₂²	—	4	2	no	—
695	C₂²	—	4	1	no	—
696	C₂²	—	4	2	no	—
697	C₂²	—	4	2	no	—
698	C₂²	—	4	1	no	—
699	C₂²	—	4	1	no	—
700	C₂²	—	4	2	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	1	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	8	16	no	—
707	C₂²	—	8	1	no	—
708	C₂²	—	8	1	no	—
709	C₂²	—	8	1	no	—
710	C₂²	—	8	1	no	—
711	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
712	C₂²	C₁₉×#546	1	1	yes	characteristic
713	C₂²	C₁₉×#546	1	1	yes	characteristic
714	C₂²	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
715	C₂²	C₁₉×#575	1	1	yes	characteristic
716	C₂²	C₁₉×#576	1	1	yes	characteristic
717	C₂²	C₁₉×#577	1	1	yes	characteristic
718	C₄	—	2	2	no	—
719	C₄	—	2	2	no	—
720	C₄	—	4	2	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	1	no	—
723	C₄	—	4	1	no	—
724	C₄	—	4	1	no	—
725	C₄	—	8	1	no	—
726	C₄	—	8	1	no	—
727	C₄	—	8	1	no	—
728	C₄	—	8	1	no	—
729	C₄	C₂×C₁₉×#117	1	1	yes	characteristic
730	C₄	C₁₉×#518	1	1	yes	characteristic
731	C₄	C₁₉×#551	1	1	yes	characteristic
732	C₄	C₁₉×#551	1	1	yes	characteristic
733	C₂	—	4	2	no	—
734	C₂	—	4	4	no	—
735	C₂	—	8	2	no	—
736	C₂	C₁₉×#2342	1	1	yes	characteristic
737	C₂	C₄×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
738	C₂	C₁₉×#2946	1	1	yes	characteristic
739	C₂	C₁₉×#3311	1	1	yes	characteristic
740	C₂	C₁₉×#3318	1	1	yes	characteristic
741	C₂	C₁₉×#3322	1	1	yes	characteristic
742	C₂	C₁₉×#3324	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2347	C₂	semidirect
4. C₁₉×#1936	C₂	semidirect
5. C₁₉×#1934	C₂	semidirect
6. C₁₉×#1926	C₂	semidirect
7. C₁₉×#1925	C₂	semidirect
8. C₁₉×#1864	C₂	semidirect
9. C₁₉×#1862	C₂	semidirect
10. C₁₉×#1825	C₂	semidirect
11. C₁₉×#1809	C₂	semidirect
13. C₁₉×#1762	C₂	semidirect
14. C₄×C₁₉×#102	C₂	semidirect
15. C₁₉×#1753	C₂	semidirect
22. C₂×C₁₉×#107	C₂²	semidirect
23. C₂×C₁₉×#106	C₂²	semidirect
24. C₁₉×#418	C₄	semidirect
34. C₂×C₁₉×#97	C₂²	semidirect
35. C₂×C₄×C₈×C₁₉	C₂²	semidirect
38. C₁₉×#389	C₂²	semidirect
39. C₁₉×#389	C₂²	semidirect
49. C₄×C₄⋊C₄×C₁₉	C₂²	semidirect
50. C₄×C₄⋊C₄×C₁₉	C₂²	semidirect
52. C₁₉×#340	C₂²	semidirect
53. C₁₉×#340	C₂²	semidirect
54. C₁₉×#340	C₂²	semidirect
55. C₁₉×#340	C₂²	semidirect
56. C₁₉×#340	C₂²	semidirect
57. C₁₉×#340	C₂²	semidirect
58. C₁₉×#336	C₂²	semidirect
59. C₁₉×#336	C₂²	semidirect
75. C₂×M₁₆×C₁₉	C₂×C₄	semidirect
85. C₁₉×#117	C₂×C₄	semidirect
119. C₁₉×#102	C₂×C₄	semidirect
120. C₁₉×#102	C₂×C₄	semidirect
230. #22580	C₁₉	direct (N × H)
319. #2347	C₂×C₁₉	semidirect
321. #1936	C₂×C₁₉	semidirect
322. #1934	C₂×C₁₉	semidirect
323. #1926	C₂×C₁₉	semidirect
324. #1925	C₂×C₁₉	semidirect
325. #1864	C₂×C₁₉	semidirect
326. #1862	C₂×C₁₉	semidirect
327. #1825	C₂×C₁₉	semidirect
328. #1809	C₂×C₁₉	semidirect
330. #1762	C₂×C₁₉	semidirect
331. C₄×#102	C₂×C₁₉	semidirect
332. #1753	C₂×C₁₉	semidirect
383. C₂×#107	C₂²×C₁₉	semidirect
384. C₂×#106	C₂²×C₁₉	semidirect
385. #418	C₄×C₁₉	semidirect
395. C₂×#97	C₂²×C₁₉	semidirect
396. C₂×C₄×C₈	C₂²×C₁₉	semidirect
399. #389	C₂²×C₁₉	semidirect
400. #389	C₂²×C₁₉	semidirect
410. C₄×C₄⋊C₄	C₂²×C₁₉	semidirect
411. C₄×C₄⋊C₄	C₂²×C₁₉	semidirect
413. #340	C₂²×C₁₉	semidirect
414. #340	C₂²×C₁₉	semidirect
415. #340	C₂²×C₁₉	semidirect
416. #340	C₂²×C₁₉	semidirect
417. #340	C₂²×C₁₉	semidirect
418. #340	C₂²×C₁₉	semidirect
419. #336	C₂²×C₁₉	semidirect
420. #336	C₂²×C₁₉	semidirect
446. C₂×M₁₆	C₂×C₄×C₁₉	semidirect
456. #117	C₂×C₄×C₁₉	semidirect
490. #102	C₂×C₄×C₁₉	semidirect
491. #102	C₂×C₄×C₁₉	semidirect
503. C₁₉	#22580	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×#418	2
C₁₉×#2347	2
D₄×C₂²⋊C₄×C₁₉	2
C₁₉×#1936	2
C₁₉×#1934	2
C₁₉×#1926	2
C₁₉×#1925	2
C₁₉×#1864	2
C₁₉×#1862	2
C₁₉×#1825	2
C₁₉×#1809	2
C₁₉×#1786	2
C₁₉×#1762	2
C₄×C₁₉×#102	2
C₁₉×#1753	2
#22580	19

Subgroups — C19×#22580 #18028539

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#22580 #18028539