Subgroups — C₁₉×#14653 #18020612

Order 4864.

1226 conjugacy classes of subgroups.

The subgroup lattice has 968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#396	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1445	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#1445	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1445	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1442	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1441	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1441	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1440	C₂	1	1	yes	maximal, characteristic
9	C₁₉×#1440	C₂	1	1	yes	maximal, characteristic
10	C₁₉×#1440	C₂	1	1	yes	maximal, characteristic
11	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic
12	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic
13	C₁₉×#1437	C₂	1	1	yes	maximal, characteristic
14	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
20	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
21	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
22	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
24	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
25	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
26	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#396	C₄	1	8	yes	complemented
30	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
31	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
32	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
33	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
34	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
38	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
40	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
46	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
47	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
48	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
49	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
50	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
51	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
52	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
53	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
54	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
55	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
56	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
57	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
58	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
59	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
60	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
61	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
62	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
63	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
68	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
69	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
70	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
71	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
72	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
73	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
74	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
75	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
76	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
77	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
78	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
79	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
80	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
81	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
82	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
83	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
84	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
85	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
86	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
87	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
88	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
89	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
90	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
91	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
92	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
93	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
94	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
96	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
97	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
98	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
99	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
100	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
101	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
102	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
103	C₂×C₄²×C₁₉	—	4	1	no	—
104	C₂×C₄²×C₁₉	—	4	1	no	—
105	C₂×C₄²×C₁₉	—	4	1	no	—
106	C₁₉×#95	—	2	2	no	—
107	C₁₉×#95	—	2	2	no	—
108	C₁₉×#95	—	2	2	no	—
109	C₁₉×#95	—	4	1	no	—
110	C₁₉×#95	—	4	1	no	—
111	C₁₉×#95	—	4	1	no	—
112	C₁₉×#95	—	4	1	no	—
113	C₁₉×#95	—	4	1	no	—
114	C₁₉×#95	—	4	1	no	—
115	C₁₉×#95	—	4	1	no	—
116	C₁₉×#95	—	4	1	no	—
117	C₁₉×#95	—	4	1	no	—
118	C₁₉×#95	—	4	1	no	—
119	C₁₉×#95	—	4	1	no	—
120	C₁₉×#95	—	4	1	no	—
121	C₁₉×#95	—	4	1	no	—
122	C₁₉×#95	—	4	1	no	—
123	C₁₉×#95	—	4	1	no	—
124	C₁₉×#95	—	4	1	no	—
125	C₁₉×#95	—	4	1	no	—
126	C₁₉×#95	—	4	1	no	—
127	C₁₉×#95	C₂×C₄	1	4	yes	—
128	C₂⁴×C₁₉	—	2	1	no	—
129	C₂⁴×C₁₉	—	2	1	no	—
130	C₂⁴×C₁₉	—	2	1	no	—
131	C₂⁴×C₁₉	—	2	1	no	—
132	C₂⁴×C₁₉	—	2	1	no	—
133	C₂⁴×C₁₉	—	2	1	no	—
134	C₂⁴×C₁₉	—	2	1	no	—
135	C₂⁴×C₁₉	—	2	1	no	—
136	C₂⁴×C₁₉	—	2	1	no	—
137	C₂⁴×C₁₉	—	2	1	no	—
138	C₂⁴×C₁₉	—	2	1	no	—
139	C₂⁴×C₁₉	—	2	1	no	—
140	C₂⁴×C₁₉	—	2	1	no	—
141	C₂⁴×C₁₉	—	2	1	no	—
142	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
143	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
144	C₂²×C₄×C₁₉	—	2	1	no	—
145	C₂²×C₄×C₁₉	—	2	1	no	—
146	C₂²×C₄×C₁₉	—	2	1	no	—
147	C₂²×C₄×C₁₉	—	2	1	no	—
148	C₂²×C₄×C₁₉	—	2	1	no	—
149	C₂²×C₄×C₁₉	—	2	1	no	—
150	C₂²×C₄×C₁₉	—	2	1	no	—
151	C₂²×C₄×C₁₉	—	2	1	no	—
152	C₂²×C₄×C₁₉	—	2	1	no	—
153	C₂²×C₄×C₁₉	—	2	1	no	—
154	C₂²×C₄×C₁₉	—	2	1	no	—
155	C₂²×C₄×C₁₉	—	2	1	no	—
156	C₂²×C₄×C₁₉	—	2	1	no	—
157	C₂²×C₄×C₁₉	—	2	1	no	—
158	C₂²×C₄×C₁₉	—	2	1	no	—
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	1	no	—
172	C₂²×C₄×C₁₉	—	2	1	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	—	2	1	no	—
177	C₂²×C₄×C₁₉	—	2	1	no	—
178	C₂²×C₄×C₁₉	—	2	1	no	—
179	C₂²×C₄×C₁₉	—	2	1	no	—
180	C₂²×C₄×C₁₉	—	2	1	no	—
181	C₂²×C₄×C₁₉	—	2	1	no	—
182	C₂²×C₄×C₁₉	—	2	1	no	—
183	C₂²×C₄×C₁₉	—	2	1	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	1	no	—
186	C₂²×C₄×C₁₉	—	2	1	no	—
187	C₂²×C₄×C₁₉	—	2	1	no	—
188	C₂²×C₄×C₁₉	—	2	1	no	—
189	C₂²×C₄×C₁₉	—	2	1	no	—
190	C₂²×C₄×C₁₉	—	2	1	no	—
191	C₂²×C₄×C₁₉	—	2	1	no	—
192	C₂²×C₄×C₁₉	—	2	1	no	—
193	C₂²×C₄×C₁₉	—	2	1	no	—
194	C₂²×C₄×C₁₉	—	2	1	no	—
195	C₂²×C₄×C₁₉	—	2	1	no	—
196	C₂²×C₄×C₁₉	—	2	1	no	—
197	C₂²×C₄×C₁₉	—	2	1	no	—
198	C₂²×C₄×C₁₉	—	2	1	no	—
199	C₂²×C₄×C₁₉	—	2	1	no	—
200	C₂²×C₄×C₁₉	—	2	1	no	—
201	C₂²×C₄×C₁₉	—	2	1	no	—
202	C₂²×C₄×C₁₉	—	2	1	no	—
203	C₂²×C₄×C₁₉	—	2	1	no	—
204	C₂²×C₄×C₁₉	—	2	1	no	—
205	C₂²×C₄×C₁₉	—	2	1	no	—
206	C₂²×C₄×C₁₉	—	2	1	no	—
207	C₂²×C₄×C₁₉	—	2	1	no	—
208	C₂²×C₄×C₁₉	—	2	1	no	—
209	C₂²×C₄×C₁₉	—	2	1	no	—
210	C₂²×C₄×C₁₉	—	2	1	no	—
211	C₂²×C₄×C₁₉	—	2	1	no	—
212	C₂²×C₄×C₁₉	—	2	1	no	—
213	C₂²×C₄×C₁₉	—	2	1	no	—
214	C₂²×C₄×C₁₉	—	2	1	no	—
215	C₂²×C₄×C₁₉	—	2	1	no	—
216	C₂²×C₄×C₁₉	—	2	1	no	—
217	C₂²×C₄×C₁₉	—	2	1	no	—
218	C₂²×C₄×C₁₉	—	2	1	no	—
219	C₂²×C₄×C₁₉	—	2	1	no	—
220	C₂²×C₄×C₁₉	—	2	1	no	—
221	C₂²×C₄×C₁₉	—	2	1	no	—
222	C₂²×C₄×C₁₉	—	2	1	no	—
223	C₂²×C₄×C₁₉	—	2	1	no	—
224	C₂²×C₄×C₁₉	—	2	1	no	—
225	C₂²×C₄×C₁₉	—	2	1	no	—
226	C₂²×C₄×C₁₉	—	2	1	no	—
227	C₂²×C₄×C₁₉	—	2	1	no	—
228	C₂²×C₄×C₁₉	—	2	1	no	—
229	C₂²×C₄×C₁₉	—	2	1	no	—
230	C₂²×C₄×C₁₉	—	2	1	no	—
231	C₂²×C₄×C₁₉	—	2	1	no	—
232	C₂²×C₄×C₁₉	—	2	1	no	—
233	C₂²×C₄×C₁₉	—	2	1	no	—
234	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
235	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
236	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
237	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
238	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
239	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
240	C₂²×C₄×C₁₉	#41	1	2	yes	—
241	C₂²×C₄×C₁₉	#41	1	2	yes	—
242	C₄⋊C₄×C₁₉	—	4	4	no	—
243	C₄⋊C₄×C₁₉	—	4	4	no	—
244	C₄⋊C₄×C₁₉	—	4	4	no	—
245	C₄⋊C₄×C₁₉	—	4	4	no	—
246	C₄⋊C₄×C₁₉	—	4	4	no	—
247	C₂²⋊C₄×C₁₉	—	4	4	no	—
248	C₂²⋊C₄×C₁₉	—	4	4	no	—
249	C₂²⋊C₄×C₁₉	—	4	4	no	—
250	C₂²⋊C₄×C₁₉	—	4	4	no	—
251	C₂²⋊C₄×C₁₉	—	4	4	no	—
252	C₂²⋊C₄×C₁₉	—	4	4	no	—
253	C₂²⋊C₄×C₁₉	—	4	4	no	—
254	C₄²×C₁₉	—	4	4	no	—
255	#14653	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
256	C₂³×C₁₉	—	2	2	no	—
257	C₂³×C₁₉	—	2	2	no	—
258	C₂³×C₁₉	—	2	2	no	—
259	C₂³×C₁₉	—	2	2	no	—
260	C₂³×C₁₉	—	2	2	no	—
261	C₂³×C₁₉	—	2	2	no	—
262	C₂³×C₁₉	—	2	2	no	—
263	C₂³×C₁₉	—	4	1	no	—
264	C₂³×C₁₉	—	4	1	no	—
265	C₂³×C₁₉	—	4	1	no	—
266	C₂³×C₁₉	—	4	1	no	—
267	C₂³×C₁₉	—	4	1	no	—
268	C₂³×C₁₉	—	4	1	no	—
269	C₂³×C₁₉	—	4	1	no	—
270	C₂³×C₁₉	—	4	1	no	—
271	C₂³×C₁₉	—	4	1	no	—
272	C₂³×C₁₉	—	4	1	no	—
273	C₂³×C₁₉	—	4	1	no	—
274	C₂³×C₁₉	—	4	1	no	—
275	C₂³×C₁₉	—	4	1	no	—
276	C₂³×C₁₉	—	4	1	no	—
277	C₂³×C₁₉	—	4	1	no	—
278	C₂³×C₁₉	—	4	1	no	—
279	C₂³×C₁₉	—	4	1	no	—
280	C₂³×C₁₉	—	4	1	no	—
281	C₂³×C₁₉	—	4	1	no	—
282	C₂³×C₁₉	—	4	1	no	—
283	C₂³×C₁₉	—	4	1	no	—
284	C₂³×C₁₉	—	4	1	no	—
285	C₂³×C₁₉	—	4	1	no	—
286	C₂³×C₁₉	—	4	1	no	—
287	C₂³×C₁₉	—	4	1	no	—
288	C₂³×C₁₉	—	4	1	no	—
289	C₂³×C₁₉	—	4	1	no	—
290	C₂³×C₁₉	—	4	1	no	—
291	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
292	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
293	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
294	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
295	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
296	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
297	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
298	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
299	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
300	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
301	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
302	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
303	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
304	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
305	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
306	C₂×C₄×C₁₉	—	2	2	no	—
307	C₂×C₄×C₁₉	—	2	2	no	—
308	C₂×C₄×C₁₉	—	2	2	no	—
309	C₂×C₄×C₁₉	—	2	2	no	—
310	C₂×C₄×C₁₉	—	2	2	no	—
311	C₂×C₄×C₁₉	—	2	2	no	—
312	C₂×C₄×C₁₉	—	2	2	no	—
313	C₂×C₄×C₁₉	—	2	2	no	—
314	C₂×C₄×C₁₉	—	2	2	no	—
315	C₂×C₄×C₁₉	—	2	2	no	—
316	C₂×C₄×C₁₉	—	2	2	no	—
317	C₂×C₄×C₁₉	—	2	2	no	—
318	C₂×C₄×C₁₉	—	2	2	no	—
319	C₂×C₄×C₁₉	—	2	2	no	—
320	C₂×C₄×C₁₉	—	2	2	no	—
321	C₂×C₄×C₁₉	—	2	2	no	—
322	C₂×C₄×C₁₉	—	2	2	no	—
323	C₂×C₄×C₁₉	—	2	2	no	—
324	C₂×C₄×C₁₉	—	2	2	no	—
325	C₂×C₄×C₁₉	—	2	2	no	—
326	C₂×C₄×C₁₉	—	2	2	no	—
327	C₂×C₄×C₁₉	—	2	2	no	—
328	C₂×C₄×C₁₉	—	2	2	no	—
329	C₂×C₄×C₁₉	—	2	2	no	—
330	C₂×C₄×C₁₉	—	4	1	no	—
331	C₂×C₄×C₁₉	—	4	1	no	—
332	C₂×C₄×C₁₉	—	4	1	no	—
333	C₂×C₄×C₁₉	—	4	1	no	—
334	C₂×C₄×C₁₉	—	4	1	no	—
335	C₂×C₄×C₁₉	—	4	1	no	—
336	C₂×C₄×C₁₉	—	4	1	no	—
337	C₂×C₄×C₁₉	—	4	1	no	—
338	C₂×C₄×C₁₉	—	4	1	no	—
339	C₂×C₄×C₁₉	—	4	1	no	—
340	C₂×C₄×C₁₉	—	4	1	no	—
341	C₂×C₄×C₁₉	—	4	1	no	—
342	C₂×C₄×C₁₉	—	4	1	no	—
343	C₂×C₄×C₁₉	—	4	1	no	—
344	C₂×C₄×C₁₉	—	4	1	no	—
345	C₂×C₄×C₁₉	—	4	1	no	—
346	C₂×C₄×C₁₉	—	4	1	no	—
347	C₂×C₄×C₁₉	—	4	1	no	—
348	C₂×C₄×C₁₉	—	4	1	no	—
349	C₂×C₄×C₁₉	—	4	1	no	—
350	C₂×C₄×C₁₉	—	4	1	no	—
351	C₂×C₄×C₁₉	—	4	1	no	—
352	C₂×C₄×C₁₉	—	4	1	no	—
353	C₂×C₄×C₁₉	—	4	1	no	—
354	C₂×C₄×C₁₉	—	4	1	no	—
355	C₂×C₄×C₁₉	—	4	1	no	—
356	C₂×C₄×C₁₉	—	4	1	no	—
357	C₂×C₄×C₁₉	—	4	1	no	—
358	C₂×C₄×C₁₉	—	4	1	no	—
359	C₂×C₄×C₁₉	—	4	1	no	—
360	C₂×C₄×C₁₉	—	4	1	no	—
361	C₂×C₄×C₁₉	—	4	1	no	—
362	C₂×C₄×C₁₉	—	4	1	no	—
363	C₂×C₄×C₁₉	—	4	1	no	—
364	C₂×C₄×C₁₉	—	4	1	no	—
365	C₂×C₄×C₁₉	—	4	1	no	—
366	C₂×C₄×C₁₉	—	4	1	no	—
367	C₂×C₄×C₁₉	—	4	1	no	—
368	C₂×C₄×C₁₉	—	4	1	no	—
369	C₂×C₄×C₁₉	—	4	1	no	—
370	C₂×C₄×C₁₉	—	4	1	no	—
371	C₂×C₄×C₁₉	—	4	1	no	—
372	C₂×C₄×C₁₉	—	4	1	no	—
373	C₂×C₄×C₁₉	—	4	1	no	—
374	C₂×C₄×C₁₉	—	4	1	no	—
375	C₂×C₄×C₁₉	—	4	1	no	—
376	C₂×C₄×C₁₉	—	4	1	no	—
377	C₂×C₄×C₁₉	—	4	1	no	—
378	C₂×C₄×C₁₉	—	4	1	no	—
379	C₂×C₄×C₁₉	—	4	1	no	—
380	C₂×C₄×C₁₉	—	4	1	no	—
381	C₂×C₄×C₁₉	—	4	1	no	—
382	C₂×C₄×C₁₉	—	4	1	no	—
383	C₂×C₄×C₁₉	—	4	1	no	—
384	C₂×C₄×C₁₉	—	4	1	no	—
385	C₂×C₄×C₁₉	—	4	1	no	—
386	C₂×C₄×C₁₉	—	4	1	no	—
387	C₂×C₄×C₁₉	—	4	1	no	—
388	C₂×C₄×C₁₉	—	4	1	no	—
389	C₂×C₄×C₁₉	—	4	1	no	—
390	C₂×C₄×C₁₉	—	4	1	no	—
391	C₂×C₄×C₁₉	—	4	1	no	—
392	C₂×C₄×C₁₉	—	4	1	no	—
393	C₂×C₄×C₁₉	—	4	1	no	—
394	C₂×C₄×C₁₉	—	4	1	no	—
395	C₂×C₄×C₁₉	—	4	1	no	—
396	C₂×C₄×C₁₉	—	4	1	no	—
397	C₂×C₄×C₁₉	—	4	1	no	—
398	C₂×C₄×C₁₉	—	4	1	no	—
399	C₂×C₄×C₁₉	—	4	1	no	—
400	C₂×C₄×C₁₉	—	4	1	no	—
401	C₂×C₄×C₁₉	—	4	1	no	—
402	C₂×C₄×C₁₉	—	4	1	no	—
403	C₂×C₄×C₁₉	—	4	1	no	—
404	C₂×#396	C₂×C₁₉	1	1	yes	characteristic
405	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
406	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
407	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
408	#1442	C₂×C₁₉	1	1	yes	characteristic, complemented
409	#1441	C₂×C₁₉	1	1	yes	characteristic, complemented
410	#1441	C₂×C₁₉	1	1	yes	characteristic, complemented
411	#1440	C₂×C₁₉	1	1	yes	characteristic
412	#1440	C₂×C₁₉	1	1	yes	characteristic
413	#1440	C₂×C₁₉	1	1	yes	characteristic
414	#1439	C₂×C₁₉	1	1	yes	characteristic
415	#1439	C₂×C₁₉	1	1	yes	characteristic
416	#1437	C₂×C₁₉	1	1	yes	characteristic
417	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
418	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
419	C₂²×C₁₉	—	4	2	no	—
420	C₂²×C₁₉	—	4	2	no	—
421	C₂²×C₁₉	—	4	2	no	—
422	C₂²×C₁₉	—	4	2	no	—
423	C₂²×C₁₉	—	4	2	no	—
424	C₂²×C₁₉	—	4	2	no	—
425	C₂²×C₁₉	—	4	2	no	—
426	C₂²×C₁₉	—	8	1	no	—
427	C₂²×C₁₉	—	8	1	no	—
428	C₂²×C₁₉	—	8	1	no	—
429	C₂²×C₁₉	—	8	1	no	—
430	C₂²×C₁₉	—	8	1	no	—
431	C₂²×C₁₉	—	8	1	no	—
432	C₂²×C₁₉	—	8	1	no	—
433	C₂²×C₁₉	—	8	1	no	—
434	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
435	C₂²×C₁₉	#518	1	1	yes	characteristic
436	C₂²×C₁₉	#518	1	1	yes	characteristic
437	C₂²×C₁₉	#518	1	1	yes	characteristic
438	C₂²×C₁₉	#519	1	1	yes	characteristic
439	C₂²×C₁₉	#520	1	1	yes	characteristic
440	C₂²×C₁₉	#520	1	1	yes	characteristic
441	C₂²×C₁₉	#538	1	1	yes	characteristic
442	C₂²×C₁₉	#538	1	1	yes	characteristic
443	C₂²×C₁₉	#538	1	1	yes	characteristic
444	C₂²×C₁₉	#539	1	1	yes	characteristic
445	C₂²×C₁₉	#539	1	1	yes	characteristic
446	C₂²×C₁₉	#539	1	1	yes	characteristic
447	C₂²×C₁₉	#540	1	1	yes	characteristic
448	C₂²×C₁₉	#540	1	1	yes	characteristic
449	C₂²×C₁₉	#541	1	1	yes	characteristic
450	C₂²×C₁₉	#542	1	1	yes	characteristic
451	C₂²×C₁₉	#542	1	1	yes	characteristic
452	C₂²×C₁₉	#542	1	1	yes	characteristic
453	C₂²×C₁₉	#560	1	1	yes	characteristic
454	C₂²×C₁₉	#560	1	1	yes	characteristic
455	C₂²×C₁₉	#560	1	1	yes	characteristic
456	C₂²×C₁₉	#560	1	1	yes	characteristic
457	C₂²×C₁₉	#562	1	1	yes	characteristic
458	C₂²×C₁₉	#562	1	1	yes	characteristic
459	C₂²×C₁₉	#562	1	1	yes	characteristic
460	C₂²×C₁₉	#562	1	1	yes	characteristic
461	C₂²×C₁₉	#562	1	1	yes	characteristic
462	C₂²×C₁₉	#562	1	1	yes	characteristic
463	C₂²×C₁₉	#562	1	1	yes	characteristic
464	C₂²×C₁₉	#562	1	1	yes	characteristic
465	C₂²×C₁₉	#563	1	1	yes	characteristic
466	C₂²×C₁₉	#563	1	1	yes	characteristic
467	C₂²×C₁₉	#563	1	1	yes	characteristic
468	C₂²×C₁₉	#563	1	1	yes	characteristic
469	C₄×C₁₉	—	4	2	no	—
470	C₄×C₁₉	—	4	2	no	—
471	C₄×C₁₉	—	4	2	no	—
472	C₄×C₁₉	—	4	2	no	—
473	C₄×C₁₉	—	4	2	no	—
474	C₄×C₁₉	—	4	2	no	—
475	C₄×C₁₉	—	4	2	no	—
476	C₄×C₁₉	—	4	2	no	—
477	C₄×C₁₉	—	8	1	no	—
478	C₄×C₁₉	—	8	1	no	—
479	C₄×C₁₉	—	8	1	no	—
480	C₄×C₁₉	—	8	1	no	—
481	C₄×C₁₉	—	8	1	no	—
482	C₄×C₁₉	—	8	1	no	—
483	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
484	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
485	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
486	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
487	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
488	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
489	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
490	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
491	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
492	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
493	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
494	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
495	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
496	#396	C₄×C₁₉	1	8	yes	complemented
497	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
498	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
499	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
500	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
501	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
502	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
503	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
504	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
505	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
506	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
507	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
508	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
509	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
510	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
511	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
512	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
513	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
514	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
515	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
516	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
517	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
518	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
519	C₂×C₁₉	—	8	2	no	—
520	C₂×C₁₉	#2332	1	1	yes	characteristic
521	C₂×C₁₉	#2333	1	1	yes	characteristic
522	C₂×C₁₉	#2334	1	1	yes	characteristic
523	C₂×C₁₉	#2377	1	1	yes	characteristic
524	C₂×C₁₉	#2377	1	1	yes	characteristic
525	C₂×C₁₉	#2378	1	1	yes	characteristic
526	C₂×C₁₉	#2378	1	1	yes	characteristic
527	C₂×C₁₉	#2826	1	1	yes	characteristic
528	C₂×C₁₉	#2827	1	1	yes	characteristic
529	C₂×C₁₉	#2829	1	1	yes	characteristic
530	C₂×C₁₉	#2830	1	1	yes	characteristic
531	C₂×C₁₉	#2831	1	1	yes	characteristic
532	C₂×C₁₉	#2836	1	1	yes	characteristic
533	C₂×C₁₉	#2837	1	1	yes	characteristic
534	C₂×C₁₉	#2837	1	1	yes	characteristic
535	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
536	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
537	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
538	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
539	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
540	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
541	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
542	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
543	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
544	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
545	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
546	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
547	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
548	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
549	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
550	C₂×C₄⋊C₄	—	2	2	no	—
551	C₂×C₄⋊C₄	—	4	1	no	—
552	C₂×C₄⋊C₄	—	4	1	no	—
553	C₂×C₄⋊C₄	—	4	1	no	—
554	C₂×C₄⋊C₄	—	4	1	no	—
555	C₂×C₄⋊C₄	—	4	1	no	—
556	C₂×C₄⋊C₄	—	4	1	no	—
557	C₂×C₄⋊C₄	—	4	1	no	—
558	C₂×C₄⋊C₄	—	4	1	no	—
559	C₂×C₄⋊C₄	—	4	1	no	—
560	C₂×C₄⋊C₄	—	4	1	no	—
561	C₂×C₄⋊C₄	—	4	1	no	—
562	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
563	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
564	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
565	C₂×C₂²⋊C₄	—	2	2	no	—
566	C₂×C₂²⋊C₄	—	2	2	no	—
567	C₂×C₂²⋊C₄	—	4	1	no	—
568	C₂×C₂²⋊C₄	—	4	1	no	—
569	C₂×C₂²⋊C₄	—	4	1	no	—
570	C₂×C₂²⋊C₄	—	4	1	no	—
571	C₂×C₂²⋊C₄	—	4	1	no	—
572	C₂×C₂²⋊C₄	—	4	1	no	—
573	C₂×C₂²⋊C₄	—	4	1	no	—
574	C₂×C₂²⋊C₄	—	4	1	no	—
575	C₂×C₂²⋊C₄	—	4	1	no	—
576	C₂×C₂²⋊C₄	—	4	1	no	—
577	C₂×C₂²⋊C₄	—	4	1	no	—
578	C₂×C₂²⋊C₄	—	4	1	no	—
579	C₂×C₂²⋊C₄	—	4	1	no	—
580	C₂×C₂²⋊C₄	—	4	1	no	—
581	C₂×C₂²⋊C₄	—	4	1	no	—
582	C₂×C₂²⋊C₄	—	4	1	no	—
583	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
584	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
585	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
586	C₂×C₄²	—	4	1	no	—
587	C₂×C₄²	—	4	1	no	—
588	C₂×C₄²	—	4	1	no	—
589	#95	—	2	2	no	—
590	#95	—	2	2	no	—
591	#95	—	2	2	no	—
592	#95	—	4	1	no	—
593	#95	—	4	1	no	—
594	#95	—	4	1	no	—
595	#95	—	4	1	no	—
596	#95	—	4	1	no	—
597	#95	—	4	1	no	—
598	#95	—	4	1	no	—
599	#95	—	4	1	no	—
600	#95	—	4	1	no	—
601	#95	—	4	1	no	—
602	#95	—	4	1	no	—
603	#95	—	4	1	no	—
604	#95	—	4	1	no	—
605	#95	—	4	1	no	—
606	#95	—	4	1	no	—
607	#95	—	4	1	no	—
608	#95	—	4	1	no	—
609	#95	—	4	1	no	—
610	#95	C₂×C₄×C₁₉	1	4	yes	—
611	C₁₉	#14653	1	1	yes	characteristic, direct product factor, Sylow
612	C₂⁴	—	2	1	no	—
613	C₂⁴	—	2	1	no	—
614	C₂⁴	—	2	1	no	—
615	C₂⁴	—	2	1	no	—
616	C₂⁴	—	2	1	no	—
617	C₂⁴	—	2	1	no	—
618	C₂⁴	—	2	1	no	—
619	C₂⁴	—	2	1	no	—
620	C₂⁴	—	2	1	no	—
621	C₂⁴	—	2	1	no	—
622	C₂⁴	—	2	1	no	—
623	C₂⁴	—	2	1	no	—
624	C₂⁴	—	2	1	no	—
625	C₂⁴	—	2	1	no	—
626	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
627	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
628	C₂²×C₄	—	2	1	no	—
629	C₂²×C₄	—	2	1	no	—
630	C₂²×C₄	—	2	1	no	—
631	C₂²×C₄	—	2	1	no	—
632	C₂²×C₄	—	2	1	no	—
633	C₂²×C₄	—	2	1	no	—
634	C₂²×C₄	—	2	1	no	—
635	C₂²×C₄	—	2	1	no	—
636	C₂²×C₄	—	2	1	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	1	no	—
644	C₂²×C₄	—	2	1	no	—
645	C₂²×C₄	—	2	1	no	—
646	C₂²×C₄	—	2	1	no	—
647	C₂²×C₄	—	2	1	no	—
648	C₂²×C₄	—	2	1	no	—
649	C₂²×C₄	—	2	1	no	—
650	C₂²×C₄	—	2	1	no	—
651	C₂²×C₄	—	2	1	no	—
652	C₂²×C₄	—	2	1	no	—
653	C₂²×C₄	—	2	1	no	—
654	C₂²×C₄	—	2	1	no	—
655	C₂²×C₄	—	2	1	no	—
656	C₂²×C₄	—	2	1	no	—
657	C₂²×C₄	—	2	1	no	—
658	C₂²×C₄	—	2	1	no	—
659	C₂²×C₄	—	2	1	no	—
660	C₂²×C₄	—	2	1	no	—
661	C₂²×C₄	—	2	1	no	—
662	C₂²×C₄	—	2	1	no	—
663	C₂²×C₄	—	2	1	no	—
664	C₂²×C₄	—	2	1	no	—
665	C₂²×C₄	—	2	1	no	—
666	C₂²×C₄	—	2	1	no	—
667	C₂²×C₄	—	2	1	no	—
668	C₂²×C₄	—	2	1	no	—
669	C₂²×C₄	—	2	1	no	—
670	C₂²×C₄	—	2	1	no	—
671	C₂²×C₄	—	2	1	no	—
672	C₂²×C₄	—	2	1	no	—
673	C₂²×C₄	—	2	1	no	—
674	C₂²×C₄	—	2	1	no	—
675	C₂²×C₄	—	2	1	no	—
676	C₂²×C₄	—	2	1	no	—
677	C₂²×C₄	—	2	1	no	—
678	C₂²×C₄	—	2	1	no	—
679	C₂²×C₄	—	2	1	no	—
680	C₂²×C₄	—	2	1	no	—
681	C₂²×C₄	—	2	1	no	—
682	C₂²×C₄	—	2	1	no	—
683	C₂²×C₄	—	2	1	no	—
684	C₂²×C₄	—	2	1	no	—
685	C₂²×C₄	—	2	1	no	—
686	C₂²×C₄	—	2	1	no	—
687	C₂²×C₄	—	2	1	no	—
688	C₂²×C₄	—	2	1	no	—
689	C₂²×C₄	—	2	1	no	—
690	C₂²×C₄	—	2	1	no	—
691	C₂²×C₄	—	2	1	no	—
692	C₂²×C₄	—	2	1	no	—
693	C₂²×C₄	—	2	1	no	—
694	C₂²×C₄	—	2	1	no	—
695	C₂²×C₄	—	2	1	no	—
696	C₂²×C₄	—	2	1	no	—
697	C₂²×C₄	—	2	1	no	—
698	C₂²×C₄	—	2	1	no	—
699	C₂²×C₄	—	2	1	no	—
700	C₂²×C₄	—	2	1	no	—
701	C₂²×C₄	—	2	1	no	—
702	C₂²×C₄	—	2	1	no	—
703	C₂²×C₄	—	2	1	no	—
704	C₂²×C₄	—	2	1	no	—
705	C₂²×C₄	—	2	1	no	—
706	C₂²×C₄	—	2	1	no	—
707	C₂²×C₄	—	2	1	no	—
708	C₂²×C₄	—	2	1	no	—
709	C₂²×C₄	—	2	1	no	—
710	C₂²×C₄	—	2	1	no	—
711	C₂²×C₄	—	2	1	no	—
712	C₂²×C₄	—	2	1	no	—
713	C₂²×C₄	—	2	1	no	—
714	C₂²×C₄	—	2	1	no	—
715	C₂²×C₄	—	2	1	no	—
716	C₂²×C₄	—	2	1	no	—
717	C₂²×C₄	—	2	1	no	—
718	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
719	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
720	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
721	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
722	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
723	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
724	C₂²×C₄	#41×C₁₉	1	2	yes	—
725	C₂²×C₄	#41×C₁₉	1	2	yes	—
726	C₄⋊C₄	—	4	4	no	—
727	C₄⋊C₄	—	4	4	no	—
728	C₄⋊C₄	—	4	4	no	—
729	C₄⋊C₄	—	4	4	no	—
730	C₄⋊C₄	—	4	4	no	—
731	C₂²⋊C₄	—	4	4	no	—
732	C₂²⋊C₄	—	4	4	no	—
733	C₂²⋊C₄	—	4	4	no	—
734	C₂²⋊C₄	—	4	4	no	—
735	C₂²⋊C₄	—	4	4	no	—
736	C₂²⋊C₄	—	4	4	no	—
737	C₂²⋊C₄	—	4	4	no	—
738	C₄²	—	4	4	no	—
739	C₂³	—	2	2	no	—
740	C₂³	—	2	2	no	—
741	C₂³	—	2	2	no	—
742	C₂³	—	2	2	no	—
743	C₂³	—	2	2	no	—
744	C₂³	—	2	2	no	—
745	C₂³	—	2	2	no	—
746	C₂³	—	4	1	no	—
747	C₂³	—	4	1	no	—
748	C₂³	—	4	1	no	—
749	C₂³	—	4	1	no	—
750	C₂³	—	4	1	no	—
751	C₂³	—	4	1	no	—
752	C₂³	—	4	1	no	—
753	C₂³	—	4	1	no	—
754	C₂³	—	4	1	no	—
755	C₂³	—	4	1	no	—
756	C₂³	—	4	1	no	—
757	C₂³	—	4	1	no	—
758	C₂³	—	4	1	no	—
759	C₂³	—	4	1	no	—
760	C₂³	—	4	1	no	—
761	C₂³	—	4	1	no	—
762	C₂³	—	4	1	no	—
763	C₂³	—	4	1	no	—
764	C₂³	—	4	1	no	—
765	C₂³	—	4	1	no	—
766	C₂³	—	4	1	no	—
767	C₂³	—	4	1	no	—
768	C₂³	—	4	1	no	—
769	C₂³	—	4	1	no	—
770	C₂³	—	4	1	no	—
771	C₂³	—	4	1	no	—
772	C₂³	—	4	1	no	—
773	C₂³	—	4	1	no	—
774	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
775	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
776	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
777	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
778	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
779	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
781	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
782	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
783	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
784	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
785	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
786	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
787	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
788	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
789	C₂×C₄	—	2	2	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	2	no	—
792	C₂×C₄	—	2	2	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	2	no	—
795	C₂×C₄	—	2	2	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	2	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	2	2	no	—
800	C₂×C₄	—	2	2	no	—
801	C₂×C₄	—	2	2	no	—
802	C₂×C₄	—	2	2	no	—
803	C₂×C₄	—	2	2	no	—
804	C₂×C₄	—	2	2	no	—
805	C₂×C₄	—	2	2	no	—
806	C₂×C₄	—	2	2	no	—
807	C₂×C₄	—	2	2	no	—
808	C₂×C₄	—	2	2	no	—
809	C₂×C₄	—	2	2	no	—
810	C₂×C₄	—	2	2	no	—
811	C₂×C₄	—	2	2	no	—
812	C₂×C₄	—	2	2	no	—
813	C₂×C₄	—	4	1	no	—
814	C₂×C₄	—	4	1	no	—
815	C₂×C₄	—	4	1	no	—
816	C₂×C₄	—	4	1	no	—
817	C₂×C₄	—	4	1	no	—
818	C₂×C₄	—	4	1	no	—
819	C₂×C₄	—	4	1	no	—
820	C₂×C₄	—	4	1	no	—
821	C₂×C₄	—	4	1	no	—
822	C₂×C₄	—	4	1	no	—
823	C₂×C₄	—	4	1	no	—
824	C₂×C₄	—	4	1	no	—
825	C₂×C₄	—	4	1	no	—
826	C₂×C₄	—	4	1	no	—
827	C₂×C₄	—	4	1	no	—
828	C₂×C₄	—	4	1	no	—
829	C₂×C₄	—	4	1	no	—
830	C₂×C₄	—	4	1	no	—
831	C₂×C₄	—	4	1	no	—
832	C₂×C₄	—	4	1	no	—
833	C₂×C₄	—	4	1	no	—
834	C₂×C₄	—	4	1	no	—
835	C₂×C₄	—	4	1	no	—
836	C₂×C₄	—	4	1	no	—
837	C₂×C₄	—	4	1	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	4	1	no	—
840	C₂×C₄	—	4	1	no	—
841	C₂×C₄	—	4	1	no	—
842	C₂×C₄	—	4	1	no	—
843	C₂×C₄	—	4	1	no	—
844	C₂×C₄	—	4	1	no	—
845	C₂×C₄	—	4	1	no	—
846	C₂×C₄	—	4	1	no	—
847	C₂×C₄	—	4	1	no	—
848	C₂×C₄	—	4	1	no	—
849	C₂×C₄	—	4	1	no	—
850	C₂×C₄	—	4	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	4	1	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	4	1	no	—
856	C₂×C₄	—	4	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	4	1	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	1	no	—
862	C₂×C₄	—	4	1	no	—
863	C₂×C₄	—	4	1	no	—
864	C₂×C₄	—	4	1	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	4	1	no	—
867	C₂×C₄	—	4	1	no	—
868	C₂×C₄	—	4	1	no	—
869	C₂×C₄	—	4	1	no	—
870	C₂×C₄	—	4	1	no	—
871	C₂×C₄	—	4	1	no	—
872	C₂×C₄	—	4	1	no	—
873	C₂×C₄	—	4	1	no	—
874	C₂×C₄	—	4	1	no	—
875	C₂×C₄	—	4	1	no	—
876	C₂×C₄	—	4	1	no	—
877	C₂×C₄	—	4	1	no	—
878	C₂×C₄	—	4	1	no	—
879	C₂×C₄	—	4	1	no	—
880	C₂×C₄	—	4	1	no	—
881	C₂×C₄	—	4	1	no	—
882	C₂×C₄	—	4	1	no	—
883	C₂×C₄	—	4	1	no	—
884	C₂×C₄	—	4	1	no	—
885	C₂×C₄	—	4	1	no	—
886	C₂×C₄	—	4	1	no	—
887	C₂²	—	4	2	no	—
888	C₂²	—	4	2	no	—
889	C₂²	—	4	2	no	—
890	C₂²	—	4	2	no	—
891	C₂²	—	4	2	no	—
892	C₂²	—	4	2	no	—
893	C₂²	—	4	2	no	—
894	C₂²	—	8	1	no	—
895	C₂²	—	8	1	no	—
896	C₂²	—	8	1	no	—
897	C₂²	—	8	1	no	—
898	C₂²	—	8	1	no	—
899	C₂²	—	8	1	no	—
900	C₂²	—	8	1	no	—
901	C₂²	—	8	1	no	—
902	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
903	C₂²	C₁₉×#518	1	1	yes	characteristic
904	C₂²	C₁₉×#518	1	1	yes	characteristic
905	C₂²	C₁₉×#518	1	1	yes	characteristic
906	C₂²	C₁₉×#519	1	1	yes	characteristic
907	C₂²	C₁₉×#520	1	1	yes	characteristic
908	C₂²	C₁₉×#520	1	1	yes	characteristic
909	C₂²	C₁₉×#538	1	1	yes	characteristic
910	C₂²	C₁₉×#538	1	1	yes	characteristic
911	C₂²	C₁₉×#538	1	1	yes	characteristic
912	C₂²	C₁₉×#539	1	1	yes	characteristic
913	C₂²	C₁₉×#539	1	1	yes	characteristic
914	C₂²	C₁₉×#539	1	1	yes	characteristic
915	C₂²	C₁₉×#540	1	1	yes	characteristic
916	C₂²	C₁₉×#540	1	1	yes	characteristic
917	C₂²	C₁₉×#541	1	1	yes	characteristic
918	C₂²	C₁₉×#542	1	1	yes	characteristic
919	C₂²	C₁₉×#542	1	1	yes	characteristic
920	C₂²	C₁₉×#542	1	1	yes	characteristic
921	C₂²	C₁₉×#560	1	1	yes	characteristic
922	C₂²	C₁₉×#560	1	1	yes	characteristic
923	C₂²	C₁₉×#560	1	1	yes	characteristic
924	C₂²	C₁₉×#560	1	1	yes	characteristic
925	C₂²	C₁₉×#562	1	1	yes	characteristic
926	C₂²	C₁₉×#562	1	1	yes	characteristic
927	C₂²	C₁₉×#562	1	1	yes	characteristic
928	C₂²	C₁₉×#562	1	1	yes	characteristic
929	C₂²	C₁₉×#562	1	1	yes	characteristic
930	C₂²	C₁₉×#562	1	1	yes	characteristic
931	C₂²	C₁₉×#562	1	1	yes	characteristic
932	C₂²	C₁₉×#562	1	1	yes	characteristic
933	C₂²	C₁₉×#563	1	1	yes	characteristic
934	C₂²	C₁₉×#563	1	1	yes	characteristic
935	C₂²	C₁₉×#563	1	1	yes	characteristic
936	C₂²	C₁₉×#563	1	1	yes	characteristic
937	C₄	—	4	2	no	—
938	C₄	—	4	2	no	—
939	C₄	—	4	2	no	—
940	C₄	—	4	2	no	—
941	C₄	—	4	2	no	—
942	C₄	—	4	2	no	—
943	C₄	—	4	2	no	—
944	C₄	—	4	2	no	—
945	C₄	—	8	1	no	—
946	C₄	—	8	1	no	—
947	C₄	—	8	1	no	—
948	C₄	—	8	1	no	—
949	C₄	—	8	1	no	—
950	C₄	—	8	1	no	—
951	C₂	—	8	2	no	—
952	C₂	C₁₉×#2332	1	1	yes	characteristic
953	C₂	C₁₉×#2333	1	1	yes	characteristic
954	C₂	C₁₉×#2334	1	1	yes	characteristic
955	C₂	C₁₉×#2377	1	1	yes	characteristic
956	C₂	C₁₉×#2377	1	1	yes	characteristic
957	C₂	C₁₉×#2378	1	1	yes	characteristic
958	C₂	C₁₉×#2378	1	1	yes	characteristic
959	C₂	C₁₉×#2826	1	1	yes	characteristic
960	C₂	C₁₉×#2827	1	1	yes	characteristic
961	C₂	C₁₉×#2829	1	1	yes	characteristic
962	C₂	C₁₉×#2830	1	1	yes	characteristic
963	C₂	C₁₉×#2831	1	1	yes	characteristic
964	C₂	C₁₉×#2836	1	1	yes	characteristic
965	C₂	C₁₉×#2837	1	1	yes	characteristic
966	C₂	C₁₉×#2837	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂⁵×C₁₉	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#1445	C₂	semidirect
3. C₁₉×#1445	C₂	semidirect
4. C₁₉×#1445	C₂	semidirect
5. C₁₉×#1442	C₂	semidirect
6. C₁₉×#1441	C₂	semidirect
7. C₁₉×#1441	C₂	semidirect
14. C₁₉×#1436	C₂	semidirect
15. C₁₉×#1436	C₂	semidirect
29. C₁₉×#396	C₄	semidirect
255. #14653	C₁₉	direct (N × H)
405. #1445	C₂×C₁₉	semidirect
406. #1445	C₂×C₁₉	semidirect
407. #1445	C₂×C₁₉	semidirect
408. #1442	C₂×C₁₉	semidirect
409. #1441	C₂×C₁₉	semidirect
410. #1441	C₂×C₁₉	semidirect
417. #1436	C₂×C₁₉	semidirect
418. #1436	C₂×C₁₉	semidirect
496. #396	C₄×C₁₉	semidirect
611. C₁₉	#14653	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×#396	2
C₁₉×#1445	2
C₁₉×#1442	2
C₁₉×#1441	2
C₁₉×#1440	2
C₁₉×#1439	2
C₁₉×#1437	2
C₁₉×#1436	2
#14653	19

Subgroups — C19×#14653 #18020612

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14653 #18020612