Subgroups — C₁₉×#22488 #18028447

Order 4864.

1226 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#553	C₂	1	1	yes	maximal, characteristic
2	C₂×C₈×D₄×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#2352	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1991	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1989	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1893	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1893	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1875	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1874	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1825	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1824	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1804	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×C₁₉×#102	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1735	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₉×#340	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
17	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#553	—	2	4	no	—
19	C₁₉×#553	C₄	1	8	yes	complemented
20	C₂×C₁₉×#126	—	2	1	no	—
21	C₂×C₁₉×#125	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#123	—	2	1	no	—
23	C₂×C₁₉×#121	—	2	1	no	—
24	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₁₉	—	2	1	no	—
27	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
30	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
31	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
32	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₈×D₄×C₁₉	—	2	4	no	—
34	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
38	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
42	C₁₉×#388	—	2	1	no	—
43	C₁₉×#387	—	2	1	no	—
44	C₁₉×#386	—	2	1	no	—
45	C₁₉×#382	C₂²	1	1	yes	characteristic
46	C₁₉×#380	C₂²	1	1	yes	characteristic
47	C₁₉×#380	C₂²	1	1	yes	characteristic
48	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
49	C₄×C₂²⋊C₄×C₁₉	—	2	1	no	—
50	C₁₉×#340	C₂²	1	1	yes	characteristic
51	C₁₉×#340	C₂²	1	1	yes	characteristic
52	C₁₉×#340	C₂²	1	1	yes	characteristic
53	C₁₉×#340	C₂²	1	1	yes	characteristic
54	C₁₉×#340	C₂²	1	1	yes	characteristic
55	C₁₉×#340	C₂²	1	1	yes	characteristic
56	C₁₉×#340	C₂²	1	1	yes	characteristic
57	C₁₉×#340	C₂²	1	1	yes	characteristic
58	C₁₉×#340	C₂²	1	1	yes	characteristic
59	C₁₉×#340	C₂²	1	1	yes	characteristic
60	C₁₉×#340	C₂²	1	1	yes	characteristic
61	C₁₉×#340	C₂²	1	1	yes	characteristic
62	C₂²×D₄×C₁₉	—	2	1	no	—
63	C₂²×D₄×C₁₉	—	2	1	no	—
64	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
65	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂³×C₄×C₁₉	—	2	1	no	—
67	C₂³×C₄×C₁₉	—	2	1	no	—
68	C₂³×C₄×C₁₉	—	2	1	no	—
69	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂²×C₈×C₁₉	—	2	2	no	—
72	C₂²×C₈×C₁₉	—	2	2	no	—
73	C₂²×C₈×C₁₉	—	2	2	no	—
74	C₂²×C₈×C₁₉	—	2	2	no	—
75	C₂²×C₈×C₁₉	—	4	1	no	—
76	C₂²×C₈×C₁₉	—	4	1	no	—
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	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
81	C₁₉×#126	—	2	8	no	—
82	C₁₉×#125	—	2	2	no	—
83	C₁₉×#125	C₂×C₄	1	4	yes	complemented
84	C₁₉×#123	—	2	8	no	—
85	C₁₉×#121	—	2	8	no	—
86	C₁₉×#121	—	2	2	no	—
87	C₁₉×#121	—	2	2	no	—
88	C₁₉×#121	C₂×C₄	1	4	yes	—
89	C₁₉×#121	C₂×C₄	1	4	yes	complemented
90	C₄×D₄×C₁₉	—	2	8	no	—
91	C₄×D₄×C₁₉	—	2	2	no	—
92	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
93	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	complemented
94	C₄×D₄×C₁₉	D₄	1	4	yes	—
95	C₁₉×#117	—	2	2	no	—
96	C₁₉×#117	—	2	2	no	—
97	C₁₉×#117	—	4	1	no	—
98	C₁₉×#117	C₂×C₄	1	4	yes	complemented
99	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
101	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
102	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
103	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
104	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
106	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
107	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
108	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
110	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
111	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
114	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
115	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
117	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
122	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
123	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
124	C₂×C₄²×C₁₉	—	2	1	no	—
125	C₂×C₄²×C₁₉	—	2	1	no	—
126	C₂×C₄²×C₁₉	—	2	1	no	—
127	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
128	C₁₉×C₄⋊C₈	—	2	2	no	—
129	C₁₉×#102	—	2	2	no	—
130	C₁₉×#102	—	2	2	no	—
131	C₁₉×#102	—	4	1	no	—
132	C₁₉×#102	—	4	1	no	—
133	C₁₉×C₂²⋊C₈	—	2	2	no	—
134	C₁₉×C₂²⋊C₈	—	2	2	no	—
135	C₄×C₈×C₁₉	—	2	2	no	—
136	C₁₉×#95	—	2	1	no	—
137	C₁₉×#95	—	2	1	no	—
138	C₁₉×#95	—	2	1	no	—
139	C₁₉×#95	—	2	1	no	—
140	C₁₉×#95	—	2	1	no	—
141	C₂⁴×C₁₉	—	2	1	no	—
142	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
143	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
144	C₂×D₄×C₁₉	—	2	2	no	—
145	C₂×D₄×C₁₉	—	2	2	no	—
146	C₂×D₄×C₁₉	—	2	4	no	—
147	C₂×D₄×C₁₉	—	2	4	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	—	2	1	no	—
153	C₂×D₄×C₁₉	—	4	2	no	—
154	C₂×D₄×C₁₉	—	4	2	no	—
155	C₂×D₄×C₁₉	—	8	1	no	—
156	C₂×D₄×C₁₉	—	8	1	no	—
157	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
158	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
159	C₂²×C₄×C₁₉	—	2	1	no	—
160	C₂²×C₄×C₁₉	—	2	1	no	—
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	—	2	4	no	—
172	C₂²×C₄×C₁₉	—	2	4	no	—
173	C₂²×C₄×C₁₉	—	2	1	no	—
174	C₂²×C₄×C₁₉	—	2	1	no	—
175	C₂²×C₄×C₁₉	—	2	1	no	—
176	C₂²×C₄×C₁₉	—	4	2	no	—
177	C₂²×C₄×C₁₉	—	4	2	no	—
178	C₂²×C₄×C₁₉	—	8	1	no	—
179	C₂²×C₄×C₁₉	—	8	1	no	—
180	C₂²×C₄×C₁₉	—	8	1	no	—
181	C₂²×C₄×C₁₉	—	8	1	no	—
182	C₂²×C₄×C₁₉	—	8	1	no	—
183	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
184	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
185	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
186	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
187	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
189	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
190	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
191	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
197	C₂×C₈×C₁₉	—	2	1	no	—
198	C₂×C₈×C₁₉	—	2	1	no	—
199	C₂×C₈×C₁₉	—	2	1	no	—
200	C₂×C₈×C₁₉	—	2	1	no	—
201	C₂×C₈×C₁₉	—	2	1	no	—
202	C₂×C₈×C₁₉	—	2	1	no	—
203	C₂×C₈×C₁₉	—	4	4	no	—
204	C₂×C₈×C₁₉	—	4	4	no	—
205	C₂×C₈×C₁₉	#41	1	2	yes	—
206	C₄⋊C₄×C₁₉	—	2	4	no	—
207	C₄⋊C₄×C₁₉	—	2	4	no	—
208	C₄⋊C₄×C₁₉	—	2	4	no	—
209	C₄⋊C₄×C₁₉	—	2	1	no	—
210	C₄⋊C₄×C₁₉	—	2	1	no	—
211	C₄⋊C₄×C₁₉	—	2	1	no	—
212	C₄⋊C₄×C₁₉	—	2	1	no	—
213	C₄⋊C₄×C₁₉	—	2	1	no	—
214	C₄⋊C₄×C₁₉	—	2	1	no	—
215	C₄⋊C₄×C₁₉	—	2	1	no	—
216	C₄⋊C₄×C₁₉	—	2	1	no	—
217	C₄⋊C₄×C₁₉	—	2	1	no	—
218	C₄⋊C₄×C₁₉	—	2	1	no	—
219	C₄⋊C₄×C₁₉	—	4	2	no	—
220	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
221	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
222	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
223	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
224	C₄⋊C₄×C₁₉	#41	1	2	yes	—
225	C₂²⋊C₄×C₁₉	—	2	4	no	—
226	C₂²⋊C₄×C₁₉	—	2	4	no	—
227	C₂²⋊C₄×C₁₉	—	2	4	no	—
228	C₂²⋊C₄×C₁₉	—	2	4	no	—
229	C₂²⋊C₄×C₁₉	—	4	2	no	—
230	C₂²⋊C₄×C₁₉	—	4	2	no	—
231	C₂²⋊C₄×C₁₉	—	8	1	no	—
232	C₂²⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
233	C₂²⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
234	C₄²×C₁₉	—	2	4	no	—
235	C₄²×C₁₉	—	4	2	no	—
236	C₄²×C₁₉	—	8	1	no	—
237	C₄²×C₁₉	C₂²×C₄	1	2	yes	—
238	C₄²×C₁₉	C₂×D₄	1	2	yes	—
239	#22488	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
240	C₂³×C₁₉	—	2	1	no	—
241	C₂³×C₁₉	—	2	1	no	—
242	C₂³×C₁₉	—	2	1	no	—
243	C₂³×C₁₉	—	2	1	no	—
244	C₂³×C₁₉	—	2	1	no	—
245	C₂³×C₁₉	—	2	1	no	—
246	C₂³×C₁₉	—	2	1	no	—
247	C₂³×C₁₉	—	2	1	no	—
248	C₂³×C₁₉	—	2	1	no	—
249	C₂³×C₁₉	—	2	1	no	—
250	C₂³×C₁₉	—	2	2	no	—
251	C₂³×C₁₉	—	4	1	no	—
252	C₂³×C₁₉	—	4	1	no	—
253	C₂³×C₁₉	—	4	1	no	—
254	C₂³×C₁₉	—	4	1	no	—
255	C₂³×C₁₉	—	4	1	no	—
256	C₂³×C₁₉	—	4	1	no	—
257	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
258	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
259	C₂³×C₁₉	#135	1	2	yes	—
260	C₂³×C₁₉	#135	1	2	yes	—
261	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
262	D₄×C₁₉	—	2	8	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	—	8	4	no	—
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	1	no	—
274	C₂×C₄×C₁₉	—	2	1	no	—
275	C₂×C₄×C₁₉	—	2	1	no	—
276	C₂×C₄×C₁₉	—	2	1	no	—
277	C₂×C₄×C₁₉	—	2	2	no	—
278	C₂×C₄×C₁₉	—	2	2	no	—
279	C₂×C₄×C₁₉	—	2	2	no	—
280	C₂×C₄×C₁₉	—	2	2	no	—
281	C₂×C₄×C₁₉	—	2	2	no	—
282	C₂×C₄×C₁₉	—	2	2	no	—
283	C₂×C₄×C₁₉	—	2	2	no	—
284	C₂×C₄×C₁₉	—	2	2	no	—
285	C₂×C₄×C₁₉	—	2	2	no	—
286	C₂×C₄×C₁₉	—	2	2	no	—
287	C₂×C₄×C₁₉	—	2	2	no	—
288	C₂×C₄×C₁₉	—	2	2	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	—	4	1	no	—
305	C₂×C₄×C₁₉	—	4	1	no	—
306	C₂×C₄×C₁₉	—	8	4	no	—
307	C₂×C₄×C₁₉	—	8	4	no	—
308	C₂×C₄×C₁₉	—	8	4	no	—
309	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
310	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
311	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
312	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
313	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
314	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
315	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
316	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
317	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
318	C₂×C₄×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
319	C₈×C₁₉	—	2	2	no	—
320	C₈×C₁₉	—	4	1	no	—
321	C₈×C₁₉	—	4	1	no	—
322	C₈×C₁₉	—	4	1	no	—
323	C₂×#553	C₂×C₁₉	1	1	yes	characteristic
324	C₂×C₈×D₄	C₂×C₁₉	1	1	yes	characteristic, complemented
325	#2352	C₂×C₁₉	1	1	yes	characteristic, complemented
326	#1991	C₂×C₁₉	1	1	yes	characteristic, complemented
327	#1989	C₂×C₁₉	1	1	yes	characteristic, complemented
328	#1893	C₂×C₁₉	1	1	yes	characteristic, complemented
329	#1893	C₂×C₁₉	1	1	yes	characteristic, complemented
330	#1875	C₂×C₁₉	1	1	yes	characteristic, complemented
331	#1874	C₂×C₁₉	1	1	yes	characteristic, complemented
332	#1825	C₂×C₁₉	1	1	yes	characteristic, complemented
333	#1824	C₂×C₁₉	1	1	yes	characteristic, complemented
334	#1804	C₂×C₁₉	1	1	yes	characteristic, complemented
335	C₄×#102	C₂×C₁₉	1	1	yes	characteristic, complemented
336	#1735	C₂×C₁₉	1	1	yes	characteristic, complemented
337	C₂×#340	C₂×C₁₉	1	1	yes	characteristic, complemented
338	C₂²×C₁₉	—	2	2	no	—
339	C₂²×C₁₉	—	2	2	no	—
340	C₂²×C₁₉	—	2	2	no	—
341	C₂²×C₁₉	—	2	2	no	—
342	C₂²×C₁₉	—	2	2	no	—
343	C₂²×C₁₉	—	2	2	no	—
344	C₂²×C₁₉	—	2	2	no	—
345	C₂²×C₁₉	—	2	2	no	—
346	C₂²×C₁₉	—	2	2	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	2	no	—
352	C₂²×C₁₉	—	4	2	no	—
353	C₂²×C₁₉	—	4	2	no	—
354	C₂²×C₁₉	—	8	1	no	—
355	C₂²×C₁₉	—	8	1	no	—
356	C₂²×C₁₉	—	8	1	no	—
357	C₂²×C₁₉	—	8	1	no	—
358	C₂²×C₁₉	#416	1	4	yes	—
359	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
360	C₂²×C₁₉	#546	1	1	yes	characteristic
361	C₂²×C₁₉	#547	1	1	yes	characteristic
362	C₂²×C₁₉	C₂×#135	1	1	yes	characteristic
363	C₂²×C₁₉	C₂×#135	1	1	yes	characteristic
364	C₂²×C₁₉	#576	1	1	yes	characteristic
365	C₂²×C₁₉	#577	1	1	yes	characteristic
366	C₄×C₁₉	—	2	2	no	—
367	C₄×C₁₉	—	2	2	no	—
368	C₄×C₁₉	—	2	2	no	—
369	C₄×C₁₉	—	2	2	no	—
370	C₄×C₁₉	—	4	2	no	—
371	C₄×C₁₉	—	4	2	no	—
372	C₄×C₁₉	—	4	2	no	—
373	C₄×C₁₉	—	4	2	no	—
374	C₄×C₁₉	—	8	1	no	—
375	C₄×C₁₉	—	8	1	no	—
376	C₄×C₁₉	—	8	1	no	—
377	C₄×C₁₉	C₄×#41	1	1	yes	characteristic
378	C₄×C₁₉	#520	1	1	yes	characteristic
379	C₄×C₁₉	#546	1	1	yes	characteristic
380	C₄×C₁₉	#547	1	1	yes	characteristic
381	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
382	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
383	#553	—	2	4	no	—
384	#553	C₄×C₁₉	1	8	yes	complemented
385	C₂×#126	—	2	1	no	—
386	C₂×#125	C₂²×C₁₉	1	1	yes	characteristic
387	C₂×#123	—	2	1	no	—
388	C₂×#121	—	2	1	no	—
389	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
390	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
391	C₂×C₄×D₄	—	2	1	no	—
392	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
393	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
394	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
395	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
396	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
397	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
398	C₈×D₄	—	2	4	no	—
399	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
400	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
401	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
402	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
403	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
404	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
405	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
406	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
407	#388	—	2	1	no	—
408	#387	—	2	1	no	—
409	#386	—	2	1	no	—
410	#382	C₂²×C₁₉	1	1	yes	characteristic
411	#380	C₂²×C₁₉	1	1	yes	characteristic
412	#380	C₂²×C₁₉	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
414	C₄×C₂²⋊C₄	—	2	1	no	—
415	#340	C₂²×C₁₉	1	1	yes	characteristic
416	#340	C₂²×C₁₉	1	1	yes	characteristic
417	#340	C₂²×C₁₉	1	1	yes	characteristic
418	#340	C₂²×C₁₉	1	1	yes	characteristic
419	#340	C₂²×C₁₉	1	1	yes	characteristic
420	#340	C₂²×C₁₉	1	1	yes	characteristic
421	#340	C₂²×C₁₉	1	1	yes	characteristic
422	#340	C₂²×C₁₉	1	1	yes	characteristic
423	#340	C₂²×C₁₉	1	1	yes	characteristic
424	#340	C₂²×C₁₉	1	1	yes	characteristic
425	#340	C₂²×C₁₉	1	1	yes	characteristic
426	#340	C₂²×C₁₉	1	1	yes	characteristic
427	C₂×C₁₉	—	2	4	no	—
428	C₂×C₁₉	—	4	2	no	—
429	C₂×C₁₉	—	8	2	no	—
430	C₂×C₁₉	#2339	1	1	yes	characteristic
431	C₂×C₁₉	C₂×#416	1	1	yes	characteristic
432	C₂×C₁₉	#2897	1	1	yes	characteristic
433	C₂×C₁₉	#3297	1	1	yes	characteristic
434	C₂×C₁₉	#3301	1	1	yes	characteristic
435	C₂×C₁₉	#3337	1	1	yes	characteristic
436	C₂×C₁₉	#3339	1	1	yes	characteristic
437	C₂²×D₄	—	2	1	no	—
438	C₂²×D₄	—	2	1	no	—
439	C₂²×D₄	D₄×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	—	2	1	no	—
444	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
445	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
446	C₂²×C₈	—	2	2	no	—
447	C₂²×C₈	—	2	2	no	—
448	C₂²×C₈	—	2	2	no	—
449	C₂²×C₈	—	2	2	no	—
450	C₂²×C₈	—	4	1	no	—
451	C₂²×C₈	—	4	1	no	—
452	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
455	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
456	#126	—	2	8	no	—
457	#125	—	2	2	no	—
458	#125	C₂×C₄×C₁₉	1	4	yes	complemented
459	#123	—	2	8	no	—
460	#121	—	2	8	no	—
461	#121	—	2	2	no	—
462	#121	—	2	2	no	—
463	#121	C₂×C₄×C₁₉	1	4	yes	—
464	#121	C₂×C₄×C₁₉	1	4	yes	complemented
465	C₄×D₄	—	2	8	no	—
466	C₄×D₄	—	2	2	no	—
467	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
468	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	complemented
469	C₄×D₄	D₄×C₁₉	1	4	yes	—
470	#117	—	2	2	no	—
471	#117	—	2	2	no	—
472	#117	—	4	1	no	—
473	#117	C₂×C₄×C₁₉	1	4	yes	complemented
474	C₂×C₄⋊C₄	—	2	1	no	—
475	C₂×C₄⋊C₄	—	2	2	no	—
476	C₂×C₄⋊C₄	—	2	1	no	—
477	C₂×C₄⋊C₄	—	2	1	no	—
478	C₂×C₄⋊C₄	—	2	2	no	—
479	C₂×C₄⋊C₄	—	2	1	no	—
480	C₂×C₄⋊C₄	—	4	1	no	—
481	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
482	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
483	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
484	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
485	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
486	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
487	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
488	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
490	C₂×C₂²⋊C₄	—	2	1	no	—
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
498	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
499	C₂×C₄²	—	2	1	no	—
500	C₂×C₄²	—	2	1	no	—
501	C₂×C₄²	—	2	1	no	—
502	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
503	C₄⋊C₈	—	2	2	no	—
504	#102	—	2	2	no	—
505	#102	—	2	2	no	—
506	#102	—	4	1	no	—
507	#102	—	4	1	no	—
508	C₂²⋊C₈	—	2	2	no	—
509	C₂²⋊C₈	—	2	2	no	—
510	C₄×C₈	—	2	2	no	—
511	#95	—	2	1	no	—
512	#95	—	2	1	no	—
513	#95	—	2	1	no	—
514	#95	—	2	1	no	—
515	#95	—	2	1	no	—
516	C₁₉	#22488	1	1	yes	characteristic, direct product factor, Sylow
517	C₂⁴	—	2	1	no	—
518	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
519	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
520	C₂×D₄	—	2	2	no	—
521	C₂×D₄	—	2	2	no	—
522	C₂×D₄	—	2	4	no	—
523	C₂×D₄	—	2	4	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	—	2	1	no	—
526	C₂×D₄	—	2	1	no	—
527	C₂×D₄	—	2	1	no	—
528	C₂×D₄	—	2	1	no	—
529	C₂×D₄	—	4	2	no	—
530	C₂×D₄	—	4	2	no	—
531	C₂×D₄	—	8	1	no	—
532	C₂×D₄	—	8	1	no	—
533	C₂×D₄	C₂²⋊C₄×C₁₉	1	4	yes	—
534	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
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	—	2	1	no	—
544	C₂²×C₄	—	2	1	no	—
545	C₂²×C₄	—	2	1	no	—
546	C₂²×C₄	—	2	1	no	—
547	C₂²×C₄	—	2	4	no	—
548	C₂²×C₄	—	2	4	no	—
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	4	2	no	—
553	C₂²×C₄	—	4	2	no	—
554	C₂²×C₄	—	8	1	no	—
555	C₂²×C₄	—	8	1	no	—
556	C₂²×C₄	—	8	1	no	—
557	C₂²×C₄	—	8	1	no	—
558	C₂²×C₄	—	8	1	no	—
559	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
560	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
561	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
564	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
565	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
566	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
567	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
568	C₂×C₈	—	2	1	no	—
569	C₂×C₈	—	2	1	no	—
570	C₂×C₈	—	2	1	no	—
571	C₂×C₈	—	2	1	no	—
572	C₂×C₈	—	2	1	no	—
573	C₂×C₈	—	2	1	no	—
574	C₂×C₈	—	2	1	no	—
575	C₂×C₈	—	2	1	no	—
576	C₂×C₈	—	2	1	no	—
577	C₂×C₈	—	2	1	no	—
578	C₂×C₈	—	2	1	no	—
579	C₂×C₈	—	4	4	no	—
580	C₂×C₈	—	4	4	no	—
581	C₂×C₈	#41×C₁₉	1	2	yes	—
582	C₄⋊C₄	—	2	4	no	—
583	C₄⋊C₄	—	2	4	no	—
584	C₄⋊C₄	—	2	4	no	—
585	C₄⋊C₄	—	2	1	no	—
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	1	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	2	1	no	—
595	C₄⋊C₄	—	4	2	no	—
596	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
597	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
598	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
599	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
600	C₄⋊C₄	#41×C₁₉	1	2	yes	—
601	C₂²⋊C₄	—	2	4	no	—
602	C₂²⋊C₄	—	2	4	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₂²⋊C₄	—	2	4	no	—
605	C₂²⋊C₄	—	4	2	no	—
606	C₂²⋊C₄	—	4	2	no	—
607	C₂²⋊C₄	—	8	1	no	—
608	C₂²⋊C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
609	C₂²⋊C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
610	C₄²	—	2	4	no	—
611	C₄²	—	4	2	no	—
612	C₄²	—	8	1	no	—
613	C₄²	C₂²×C₄×C₁₉	1	2	yes	—
614	C₄²	C₂×D₄×C₁₉	1	2	yes	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	2	no	—
626	C₂³	—	4	1	no	—
627	C₂³	—	4	1	no	—
628	C₂³	—	4	1	no	—
629	C₂³	—	4	1	no	—
630	C₂³	—	4	1	no	—
631	C₂³	—	4	1	no	—
632	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
633	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
634	C₂³	C₁₉×#135	1	2	yes	—
635	C₂³	C₁₉×#135	1	2	yes	—
636	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
637	D₄	—	2	8	no	—
638	D₄	—	2	2	no	—
639	D₄	—	2	2	no	—
640	D₄	—	4	8	no	—
641	D₄	—	4	1	no	—
642	D₄	—	4	1	no	—
643	D₄	—	8	4	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	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	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	2	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	—	4	1	no	—
676	C₂×C₄	—	4	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	8	4	no	—
682	C₂×C₄	—	8	4	no	—
683	C₂×C₄	—	8	4	no	—
684	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
685	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
686	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
687	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
688	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
689	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
690	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
691	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
692	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂×C₄	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
694	C₈	—	2	2	no	—
695	C₈	—	4	1	no	—
696	C₈	—	4	1	no	—
697	C₈	—	4	1	no	—
698	C₂²	—	2	2	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	2	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	2	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	4	1	no	—
708	C₂²	—	4	1	no	—
709	C₂²	—	4	1	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	2	no	—
712	C₂²	—	4	2	no	—
713	C₂²	—	4	2	no	—
714	C₂²	—	8	1	no	—
715	C₂²	—	8	1	no	—
716	C₂²	—	8	1	no	—
717	C₂²	—	8	1	no	—
718	C₂²	C₁₉×#416	1	4	yes	—
719	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
720	C₂²	C₁₉×#546	1	1	yes	characteristic
721	C₂²	C₁₉×#547	1	1	yes	characteristic
722	C₂²	C₂×C₁₉×#135	1	1	yes	characteristic
723	C₂²	C₂×C₁₉×#135	1	1	yes	characteristic
724	C₂²	C₁₉×#576	1	1	yes	characteristic
725	C₂²	C₁₉×#577	1	1	yes	characteristic
726	C₄	—	2	2	no	—
727	C₄	—	2	2	no	—
728	C₄	—	2	2	no	—
729	C₄	—	2	2	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	2	no	—
732	C₄	—	4	2	no	—
733	C₄	—	4	2	no	—
734	C₄	—	8	1	no	—
735	C₄	—	8	1	no	—
736	C₄	—	8	1	no	—
737	C₄	C₄×#41×C₁₉	1	1	yes	characteristic
738	C₄	C₁₉×#520	1	1	yes	characteristic
739	C₄	C₁₉×#546	1	1	yes	characteristic
740	C₄	C₁₉×#547	1	1	yes	characteristic
741	C₂	—	2	4	no	—
742	C₂	—	4	2	no	—
743	C₂	—	8	2	no	—
744	C₂	C₁₉×#2339	1	1	yes	characteristic
745	C₂	C₂×C₁₉×#416	1	1	yes	characteristic
746	C₂	C₁₉×#2897	1	1	yes	characteristic
747	C₂	C₁₉×#3297	1	1	yes	characteristic
748	C₂	C₁₉×#3301	1	1	yes	characteristic
749	C₂	C₁₉×#3337	1	1	yes	characteristic
750	C₂	C₁₉×#3339	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	C₂×C₁₉×#553	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₈×D₄×C₁₉	C₂	semidirect
3. C₁₉×#2352	C₂	semidirect
4. C₁₉×#1991	C₂	semidirect
5. C₁₉×#1989	C₂	semidirect
6. C₁₉×#1893	C₂	semidirect
7. C₁₉×#1893	C₂	semidirect
8. C₁₉×#1875	C₂	semidirect
9. C₁₉×#1874	C₂	semidirect
10. C₁₉×#1825	C₂	semidirect
11. C₁₉×#1824	C₂	semidirect
12. C₁₉×#1804	C₂	semidirect
13. C₄×C₁₉×#102	C₂	semidirect
14. C₁₉×#1735	C₂	semidirect
15. C₂×C₁₉×#340	C₂	semidirect
19. C₁₉×#553	C₄	semidirect
83. C₁₉×#125	C₂×C₄	semidirect
89. C₁₉×#121	C₂×C₄	semidirect
93. C₄×D₄×C₁₉	C₂×C₄	semidirect
98. C₁₉×#117	C₂×C₄	semidirect
239. #22488	C₁₉	direct (N × H)
324. C₂×C₈×D₄	C₂×C₁₉	semidirect
325. #2352	C₂×C₁₉	semidirect
326. #1991	C₂×C₁₉	semidirect
327. #1989	C₂×C₁₉	semidirect
328. #1893	C₂×C₁₉	semidirect
329. #1893	C₂×C₁₉	semidirect
330. #1875	C₂×C₁₉	semidirect
331. #1874	C₂×C₁₉	semidirect
332. #1825	C₂×C₁₉	semidirect
333. #1824	C₂×C₁₉	semidirect
334. #1804	C₂×C₁₉	semidirect
335. C₄×#102	C₂×C₁₉	semidirect
336. #1735	C₂×C₁₉	semidirect
337. C₂×#340	C₂×C₁₉	semidirect
384. #553	C₄×C₁₉	semidirect
458. #125	C₂×C₄×C₁₉	semidirect
464. #121	C₂×C₄×C₁₉	semidirect
468. C₄×D₄	C₂×C₄×C₁₉	semidirect
473. #117	C₂×C₄×C₁₉	semidirect
516. C₁₉	#22488	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×#553	2
C₂×C₈×D₄×C₁₉	2
C₁₉×#2352	2
C₁₉×#1991	2
C₁₉×#1989	2
C₁₉×#1893	2
C₁₉×#1875	2
C₁₉×#1874	2
C₁₉×#1825	2
C₁₉×#1824	2
C₁₉×#1804	2
C₄×C₁₉×#102	2
C₁₉×#1735	2
C₂×C₁₉×#340	2
#22488	19

Subgroups — C19×#22488 #18028447

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#22488 #18028447