Subgroups — C₁₉×#14591 #18020550

Order 4864.

1442 conjugacy classes of subgroups.

The subgroup lattice has 990 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×#1441	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1437	C₂	1	1	yes	maximal, characteristic
8	C₁₉×#1437	C₂	1	1	yes	maximal, characteristic
9	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1434	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic
14	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic
15	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic
16	C₂⁴×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×C₄²×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	—	2	2	no	—
54	C₂³×C₄×C₁₉	—	2	2	no	—
55	C₂³×C₄×C₁₉	—	2	2	no	—
56	C₂³×C₄×C₁₉	—	4	1	no	—
57	C₂³×C₄×C₁₉	—	4	1	no	—
58	C₂³×C₄×C₁₉	—	4	1	no	—
59	C₂³×C₄×C₁₉	—	4	1	no	—
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	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
72	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
73	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂×C₄⋊C₄×C₁₉	—	2	2	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	—	4	1	no	—
80	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
81	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
82	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
83	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	complemented
84	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	complemented
85	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	complemented
86	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
87	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
88	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
89	C₂×C₂²⋊C₄×C₁₉	—	2	2	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×C₂²⋊C₄×C₁₉	Q₈	1	4	yes	—
104	C₂×C₄²×C₁₉	—	2	2	no	—
105	C₂×C₄²×C₁₉	—	4	1	no	—
106	C₂×C₄²×C₁₉	—	4	1	no	—
107	C₂×C₄²×C₁₉	—	4	1	no	—
108	C₂×C₄²×C₁₉	—	4	1	no	—
109	C₂×C₄²×C₁₉	—	4	1	no	—
110	C₁₉×#95	—	2	2	no	—
111	C₁₉×#95	—	2	2	no	—
112	C₁₉×#95	—	2	2	no	—
113	C₁₉×#95	—	2	2	no	—
114	C₁₉×#95	—	2	2	no	—
115	C₁₉×#95	—	2	2	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	—	4	1	no	—
128	C₁₉×#95	—	4	1	no	—
129	C₁₉×#95	—	4	1	no	—
130	C₁₉×#95	—	4	1	no	—
131	C₁₉×#95	C₂×C₄	1	4	yes	complemented
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	—	2	1	no	—
143	C₂⁴×C₁₉	—	2	1	no	—
144	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
145	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
146	C₂⁴×C₁₉	#41	1	2	yes	—
147	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	4	4	no	—
235	C₂²×C₄×C₁₉	—	4	4	no	—
236	C₂²×C₄×C₁₉	—	4	4	no	—
237	C₂²×C₄×C₁₉	—	4	4	no	—
238	C₂²×C₄×C₁₉	—	4	4	no	—
239	C₂²×C₄×C₁₉	—	4	4	no	—
240	C₂²×C₄×C₁₉	—	4	4	no	—
241	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
242	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
243	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
244	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
245	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
246	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
247	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
248	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
249	C₂²×C₄×C₁₉	#41	1	2	yes	—
250	C₂²×C₄×C₁₉	#41	1	2	yes	—
251	C₂²×C₄×C₁₉	#41	1	2	yes	—
252	C₂²×C₄×C₁₉	#41	1	2	yes	—
253	C₄⋊C₄×C₁₉	—	4	4	no	—
254	C₄⋊C₄×C₁₉	—	4	4	no	—
255	C₄⋊C₄×C₁₉	—	4	4	no	—
256	C₄⋊C₄×C₁₉	—	4	4	no	—
257	C₂²⋊C₄×C₁₉	—	4	4	no	—
258	C₂²⋊C₄×C₁₉	—	4	4	no	—
259	C₂²⋊C₄×C₁₉	—	4	4	no	—
260	C₂²⋊C₄×C₁₉	—	4	4	no	—
261	C₂²⋊C₄×C₁₉	—	4	4	no	—
262	C₂²⋊C₄×C₁₉	—	4	4	no	—
263	C₄²×C₁₉	—	4	4	no	—
264	C₄²×C₁₉	—	4	4	no	—
265	#14591	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
266	C₂³×C₁₉	—	2	2	no	—
267	C₂³×C₁₉	—	2	2	no	—
268	C₂³×C₁₉	—	2	2	no	—
269	C₂³×C₁₉	—	2	2	no	—
270	C₂³×C₁₉	—	2	2	no	—
271	C₂³×C₁₉	—	2	2	no	—
272	C₂³×C₁₉	—	2	2	no	—
273	C₂³×C₁₉	—	2	2	no	—
274	C₂³×C₁₉	—	2	2	no	—
275	C₂³×C₁₉	—	2	2	no	—
276	C₂³×C₁₉	—	2	2	no	—
277	C₂³×C₁₉	—	2	2	no	—
278	C₂³×C₁₉	—	2	2	no	—
279	C₂³×C₁₉	—	2	2	no	—
280	C₂³×C₁₉	—	2	2	no	—
281	C₂³×C₁₉	—	2	2	no	—
282	C₂³×C₁₉	—	2	2	no	—
283	C₂³×C₁₉	—	2	2	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	—	4	1	no	—
292	C₂³×C₁₉	—	4	1	no	—
293	C₂³×C₁₉	—	4	1	no	—
294	C₂³×C₁₉	—	4	1	no	—
295	C₂³×C₁₉	—	4	1	no	—
296	C₂³×C₁₉	—	4	1	no	—
297	C₂³×C₁₉	—	4	1	no	—
298	C₂³×C₁₉	—	4	1	no	—
299	C₂³×C₁₉	—	4	1	no	—
300	C₂³×C₁₉	C₄×Q₈	1	4	yes	—
301	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
302	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
303	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
304	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
305	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
306	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
307	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
308	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
309	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
310	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
311	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
312	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
313	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
314	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
315	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	2	no	—
331	C₂×C₄×C₁₉	—	2	2	no	—
332	C₂×C₄×C₁₉	—	2	2	no	—
333	C₂×C₄×C₁₉	—	2	2	no	—
334	C₂×C₄×C₁₉	—	2	2	no	—
335	C₂×C₄×C₁₉	—	2	2	no	—
336	C₂×C₄×C₁₉	—	2	2	no	—
337	C₂×C₄×C₁₉	—	2	2	no	—
338	C₂×C₄×C₁₉	—	2	2	no	—
339	C₂×C₄×C₁₉	—	2	2	no	—
340	C₂×C₄×C₁₉	—	2	2	no	—
341	C₂×C₄×C₁₉	—	2	2	no	—
342	C₂×C₄×C₁₉	—	2	2	no	—
343	C₂×C₄×C₁₉	—	2	2	no	—
344	C₂×C₄×C₁₉	—	2	2	no	—
345	C₂×C₄×C₁₉	—	2	2	no	—
346	C₂×C₄×C₁₉	—	2	2	no	—
347	C₂×C₄×C₁₉	—	2	2	no	—
348	C₂×C₄×C₁₉	—	2	2	no	—
349	C₂×C₄×C₁₉	—	2	2	no	—
350	C₂×C₄×C₁₉	—	2	2	no	—
351	C₂×C₄×C₁₉	—	2	2	no	—
352	C₂×C₄×C₁₉	—	4	16	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×C₄×C₁₉	—	4	1	no	—
405	C₂×C₄×C₁₉	—	4	1	no	—
406	C₂×C₄×C₁₉	—	4	1	no	—
407	C₂×C₄×C₁₉	—	4	1	no	—
408	C₂×C₄×C₁₉	—	4	1	no	—
409	C₂×C₄×C₁₉	—	4	1	no	—
410	C₂×C₄×C₁₉	—	4	1	no	—
411	C₂×C₄×C₁₉	—	4	1	no	—
412	C₂×C₄×C₁₉	—	4	1	no	—
413	C₂×C₄×C₁₉	—	4	1	no	—
414	C₂×C₄×C₁₉	—	4	1	no	—
415	C₂×#396	C₂×C₁₉	1	1	yes	characteristic
416	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
417	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
418	#1445	C₂×C₁₉	1	1	yes	characteristic, complemented
419	#1441	C₂×C₁₉	1	1	yes	characteristic, complemented
420	#1439	C₂×C₁₉	1	1	yes	characteristic
421	#1437	C₂×C₁₉	1	1	yes	characteristic
422	#1437	C₂×C₁₉	1	1	yes	characteristic
423	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
424	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
425	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
426	#1434	C₂×C₁₉	1	1	yes	characteristic, complemented
427	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic
428	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic
429	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic
430	C₂²×C₁₉	—	2	4	no	—
431	C₂²×C₁₉	—	2	4	no	—
432	C₂²×C₁₉	—	2	4	no	—
433	C₂²×C₁₉	—	4	2	no	—
434	C₂²×C₁₉	—	4	2	no	—
435	C₂²×C₁₉	—	4	2	no	—
436	C₂²×C₁₉	—	4	2	no	—
437	C₂²×C₁₉	—	4	2	no	—
438	C₂²×C₁₉	—	4	2	no	—
439	C₂²×C₁₉	—	4	2	no	—
440	C₂²×C₁₉	—	4	2	no	—
441	C₂²×C₁₉	—	4	2	no	—
442	C₂²×C₁₉	—	4	2	no	—
443	C₂²×C₁₉	—	4	2	no	—
444	C₂²×C₁₉	—	4	2	no	—
445	C₂²×C₁₉	C₂×C₄×Q₈	1	1	yes	characteristic
446	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
447	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
448	C₂²×C₁₉	#518	1	1	yes	characteristic
449	C₂²×C₁₉	#518	1	1	yes	characteristic
450	C₂²×C₁₉	#518	1	1	yes	characteristic
451	C₂²×C₁₉	#520	1	1	yes	characteristic
452	C₂²×C₁₉	#538	1	1	yes	characteristic
453	C₂²×C₁₉	#538	1	1	yes	characteristic
454	C₂²×C₁₉	#538	1	1	yes	characteristic
455	C₂²×C₁₉	#538	1	1	yes	characteristic
456	C₂²×C₁₉	#538	1	1	yes	characteristic
457	C₂²×C₁₉	#539	1	1	yes	characteristic
458	C₂²×C₁₉	#540	1	1	yes	characteristic
459	C₂²×C₁₉	#540	1	1	yes	characteristic
460	C₂²×C₁₉	#540	1	1	yes	characteristic
461	C₂²×C₁₉	#540	1	1	yes	characteristic
462	C₂²×C₁₉	#543	1	1	yes	characteristic
463	C₂²×C₁₉	#544	1	1	yes	characteristic
464	C₂²×C₁₉	#551	1	1	yes	characteristic
465	C₂²×C₁₉	#551	1	1	yes	characteristic
466	C₂²×C₁₉	#551	1	1	yes	characteristic
467	C₂²×C₁₉	#551	1	1	yes	characteristic
468	C₂²×C₁₉	#551	1	1	yes	characteristic
469	C₂²×C₁₉	#552	1	1	yes	characteristic
470	C₂²×C₁₉	#553	1	1	yes	characteristic
471	C₂²×C₁₉	#554	1	1	yes	characteristic
472	C₂²×C₁₉	#554	1	1	yes	characteristic
473	C₂²×C₁₉	#554	1	1	yes	characteristic
474	C₂²×C₁₉	#554	1	1	yes	characteristic
475	C₂²×C₁₉	#556	1	1	yes	characteristic
476	C₂²×C₁₉	#560	1	1	yes	characteristic
477	C₂²×C₁₉	#560	1	1	yes	characteristic
478	C₂²×C₁₉	#562	1	1	yes	characteristic
479	C₂²×C₁₉	#562	1	1	yes	characteristic
480	C₄×C₁₉	—	4	2	no	—
481	C₄×C₁₉	—	4	2	no	—
482	C₄×C₁₉	—	4	2	no	—
483	C₄×C₁₉	—	4	2	no	—
484	C₄×C₁₉	—	4	2	no	—
485	C₄×C₁₉	—	4	2	no	—
486	C₄×C₁₉	—	4	2	no	—
487	C₄×C₁₉	—	4	2	no	—
488	C₄×C₁₉	—	4	2	no	—
489	C₄×C₁₉	—	4	2	no	—
490	C₄×C₁₉	—	4	2	no	—
491	C₄×C₁₉	—	4	2	no	—
492	C₄×C₁₉	—	8	1	no	—
493	C₄×C₁₉	—	8	1	no	—
494	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
495	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
496	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
497	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
498	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
499	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
500	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
501	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
502	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
503	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
504	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
505	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
506	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
507	#396	C₄×C₁₉	1	8	yes	complemented
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×#95	C₂²×C₁₉	1	1	yes	characteristic
520	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
521	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
522	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
523	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
524	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
525	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
526	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
527	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
528	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
529	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
530	C₂×C₁₉	—	4	4	no	—
531	C₂×C₁₉	#2329	1	1	yes	characteristic
532	C₂×C₁₉	#2333	1	1	yes	characteristic
533	C₂×C₁₉	#2333	1	1	yes	characteristic
534	C₂×C₁₉	#2368	1	1	yes	characteristic
535	C₂×C₁₉	#2368	1	1	yes	characteristic
536	C₂×C₁₉	#2373	1	1	yes	characteristic
537	C₂×C₁₉	#2377	1	1	yes	characteristic
538	C₂×C₁₉	#2735	1	1	yes	characteristic
539	C₂×C₁₉	#2740	1	1	yes	characteristic
540	C₂×C₁₉	#2743	1	1	yes	characteristic
541	C₂×C₁₉	#2748	1	1	yes	characteristic
542	C₂×C₁₉	#2749	1	1	yes	characteristic
543	C₂×C₁₉	#2768	1	1	yes	characteristic
544	C₂×C₁₉	#2780	1	1	yes	characteristic
545	C₂×C₁₉	#2788	1	1	yes	characteristic
546	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
547	C₂³×C₄	—	2	2	no	—
548	C₂³×C₄	—	2	2	no	—
549	C₂³×C₄	—	2	2	no	—
550	C₂³×C₄	—	4	1	no	—
551	C₂³×C₄	—	4	1	no	—
552	C₂³×C₄	—	4	1	no	—
553	C₂³×C₄	—	4	1	no	—
554	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
555	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
556	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
557	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
558	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
559	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
560	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
561	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
562	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
563	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
564	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
565	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
566	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
567	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
568	C₂×C₄⋊C₄	—	2	2	no	—
569	C₂×C₄⋊C₄	—	4	1	no	—
570	C₂×C₄⋊C₄	—	4	1	no	—
571	C₂×C₄⋊C₄	—	4	1	no	—
572	C₂×C₄⋊C₄	—	4	1	no	—
573	C₂×C₄⋊C₄	—	4	1	no	—
574	C₂×C₄⋊C₄	—	4	1	no	—
575	C₂×C₄⋊C₄	—	4	1	no	—
576	C₂×C₄⋊C₄	—	4	1	no	—
577	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	complemented
578	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	complemented
579	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	complemented
580	C₂×C₂²⋊C₄	—	2	2	no	—
581	C₂×C₂²⋊C₄	—	2	2	no	—
582	C₂×C₂²⋊C₄	—	2	2	no	—
583	C₂×C₂²⋊C₄	—	2	2	no	—
584	C₂×C₂²⋊C₄	—	4	1	no	—
585	C₂×C₂²⋊C₄	—	4	1	no	—
586	C₂×C₂²⋊C₄	—	4	1	no	—
587	C₂×C₂²⋊C₄	—	4	1	no	—
588	C₂×C₂²⋊C₄	—	4	1	no	—
589	C₂×C₂²⋊C₄	—	4	1	no	—
590	C₂×C₂²⋊C₄	—	4	1	no	—
591	C₂×C₂²⋊C₄	—	4	1	no	—
592	C₂×C₂²⋊C₄	—	4	1	no	—
593	C₂×C₂²⋊C₄	—	4	1	no	—
594	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
595	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
596	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
597	C₂×C₂²⋊C₄	Q₈×C₁₉	1	4	yes	—
598	C₂×C₄²	—	2	2	no	—
599	C₂×C₄²	—	4	1	no	—
600	C₂×C₄²	—	4	1	no	—
601	C₂×C₄²	—	4	1	no	—
602	C₂×C₄²	—	4	1	no	—
603	C₂×C₄²	—	4	1	no	—
604	#95	—	2	2	no	—
605	#95	—	2	2	no	—
606	#95	—	2	2	no	—
607	#95	—	2	2	no	—
608	#95	—	2	2	no	—
609	#95	—	2	2	no	—
610	#95	—	4	1	no	—
611	#95	—	4	1	no	—
612	#95	—	4	1	no	—
613	#95	—	4	1	no	—
614	#95	—	4	1	no	—
615	#95	—	4	1	no	—
616	#95	—	4	1	no	—
617	#95	—	4	1	no	—
618	#95	—	4	1	no	—
619	#95	—	4	1	no	—
620	#95	—	4	1	no	—
621	#95	—	4	1	no	—
622	#95	—	4	1	no	—
623	#95	—	4	1	no	—
624	#95	—	4	1	no	—
625	#95	C₂×C₄×C₁₉	1	4	yes	complemented
626	C₁₉	#14591	1	1	yes	characteristic, direct product factor, Sylow
627	C₂⁴	—	2	1	no	—
628	C₂⁴	—	2	1	no	—
629	C₂⁴	—	2	1	no	—
630	C₂⁴	—	2	1	no	—
631	C₂⁴	—	2	1	no	—
632	C₂⁴	—	2	1	no	—
633	C₂⁴	—	2	1	no	—
634	C₂⁴	—	2	1	no	—
635	C₂⁴	—	2	1	no	—
636	C₂⁴	—	2	1	no	—
637	C₂⁴	—	2	1	no	—
638	C₂⁴	—	2	1	no	—
639	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
640	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
641	C₂⁴	#41×C₁₉	1	2	yes	—
642	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
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	—	2	1	no	—
719	C₂²×C₄	—	2	1	no	—
720	C₂²×C₄	—	2	1	no	—
721	C₂²×C₄	—	2	1	no	—
722	C₂²×C₄	—	2	1	no	—
723	C₂²×C₄	—	2	1	no	—
724	C₂²×C₄	—	2	1	no	—
725	C₂²×C₄	—	2	1	no	—
726	C₂²×C₄	—	2	1	no	—
727	C₂²×C₄	—	2	1	no	—
728	C₂²×C₄	—	2	1	no	—
729	C₂²×C₄	—	4	4	no	—
730	C₂²×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	C₂²×C₄×C₁₉	1	2	yes	—
737	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
738	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
739	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
740	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
741	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
742	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
743	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
744	C₂²×C₄	#41×C₁₉	1	2	yes	—
745	C₂²×C₄	#41×C₁₉	1	2	yes	—
746	C₂²×C₄	#41×C₁₉	1	2	yes	—
747	C₂²×C₄	#41×C₁₉	1	2	yes	—
748	C₄⋊C₄	—	4	4	no	—
749	C₄⋊C₄	—	4	4	no	—
750	C₄⋊C₄	—	4	4	no	—
751	C₄⋊C₄	—	4	4	no	—
752	C₂²⋊C₄	—	4	4	no	—
753	C₂²⋊C₄	—	4	4	no	—
754	C₂²⋊C₄	—	4	4	no	—
755	C₂²⋊C₄	—	4	4	no	—
756	C₂²⋊C₄	—	4	4	no	—
757	C₂²⋊C₄	—	4	4	no	—
758	C₄²	—	4	4	no	—
759	C₄²	—	4	4	no	—
760	C₂³	—	2	2	no	—
761	C₂³	—	2	2	no	—
762	C₂³	—	2	2	no	—
763	C₂³	—	2	2	no	—
764	C₂³	—	2	2	no	—
765	C₂³	—	2	2	no	—
766	C₂³	—	2	2	no	—
767	C₂³	—	2	2	no	—
768	C₂³	—	2	2	no	—
769	C₂³	—	2	2	no	—
770	C₂³	—	2	2	no	—
771	C₂³	—	2	2	no	—
772	C₂³	—	2	2	no	—
773	C₂³	—	2	2	no	—
774	C₂³	—	2	2	no	—
775	C₂³	—	2	2	no	—
776	C₂³	—	2	2	no	—
777	C₂³	—	2	2	no	—
778	C₂³	—	4	1	no	—
779	C₂³	—	4	1	no	—
780	C₂³	—	4	1	no	—
781	C₂³	—	4	1	no	—
782	C₂³	—	4	1	no	—
783	C₂³	—	4	1	no	—
784	C₂³	—	4	1	no	—
785	C₂³	—	4	1	no	—
786	C₂³	—	4	1	no	—
787	C₂³	—	4	1	no	—
788	C₂³	—	4	1	no	—
789	C₂³	—	4	1	no	—
790	C₂³	—	4	1	no	—
791	C₂³	—	4	1	no	—
792	C₂³	—	4	1	no	—
793	C₂³	—	4	1	no	—
794	C₂³	C₄×Q₈×C₁₉	1	4	yes	—
795	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
796	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
797	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
798	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
799	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
800	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
801	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
802	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
803	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
807	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
808	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
809	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
810	C₂×C₄	—	2	2	no	—
811	C₂×C₄	—	2	2	no	—
812	C₂×C₄	—	2	2	no	—
813	C₂×C₄	—	2	2	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	2	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	2	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	2	no	—
821	C₂×C₄	—	2	2	no	—
822	C₂×C₄	—	2	2	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	2	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	2	no	—
831	C₂×C₄	—	2	2	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	2	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	2	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	2	no	—
846	C₂×C₄	—	4	16	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	C₂×C₄	—	4	1	no	—
888	C₂×C₄	—	4	1	no	—
889	C₂×C₄	—	4	1	no	—
890	C₂×C₄	—	4	1	no	—
891	C₂×C₄	—	4	1	no	—
892	C₂×C₄	—	4	1	no	—
893	C₂×C₄	—	4	1	no	—
894	C₂×C₄	—	4	1	no	—
895	C₂×C₄	—	4	1	no	—
896	C₂×C₄	—	4	1	no	—
897	C₂×C₄	—	4	1	no	—
898	C₂×C₄	—	4	1	no	—
899	C₂×C₄	—	4	1	no	—
900	C₂×C₄	—	4	1	no	—
901	C₂×C₄	—	4	1	no	—
902	C₂×C₄	—	4	1	no	—
903	C₂×C₄	—	4	1	no	—
904	C₂×C₄	—	4	1	no	—
905	C₂×C₄	—	4	1	no	—
906	C₂×C₄	—	4	1	no	—
907	C₂×C₄	—	4	1	no	—
908	C₂×C₄	—	4	1	no	—
909	C₂²	—	2	4	no	—
910	C₂²	—	2	4	no	—
911	C₂²	—	2	4	no	—
912	C₂²	—	4	2	no	—
913	C₂²	—	4	2	no	—
914	C₂²	—	4	2	no	—
915	C₂²	—	4	2	no	—
916	C₂²	—	4	2	no	—
917	C₂²	—	4	2	no	—
918	C₂²	—	4	2	no	—
919	C₂²	—	4	2	no	—
920	C₂²	—	4	2	no	—
921	C₂²	—	4	2	no	—
922	C₂²	—	4	2	no	—
923	C₂²	—	4	2	no	—
924	C₂²	C₂×C₄×Q₈×C₁₉	1	1	yes	characteristic
925	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
926	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
927	C₂²	C₁₉×#518	1	1	yes	characteristic
928	C₂²	C₁₉×#518	1	1	yes	characteristic
929	C₂²	C₁₉×#518	1	1	yes	characteristic
930	C₂²	C₁₉×#520	1	1	yes	characteristic
931	C₂²	C₁₉×#538	1	1	yes	characteristic
932	C₂²	C₁₉×#538	1	1	yes	characteristic
933	C₂²	C₁₉×#538	1	1	yes	characteristic
934	C₂²	C₁₉×#538	1	1	yes	characteristic
935	C₂²	C₁₉×#538	1	1	yes	characteristic
936	C₂²	C₁₉×#539	1	1	yes	characteristic
937	C₂²	C₁₉×#540	1	1	yes	characteristic
938	C₂²	C₁₉×#540	1	1	yes	characteristic
939	C₂²	C₁₉×#540	1	1	yes	characteristic
940	C₂²	C₁₉×#540	1	1	yes	characteristic
941	C₂²	C₁₉×#543	1	1	yes	characteristic
942	C₂²	C₁₉×#544	1	1	yes	characteristic
943	C₂²	C₁₉×#551	1	1	yes	characteristic
944	C₂²	C₁₉×#551	1	1	yes	characteristic
945	C₂²	C₁₉×#551	1	1	yes	characteristic
946	C₂²	C₁₉×#551	1	1	yes	characteristic
947	C₂²	C₁₉×#551	1	1	yes	characteristic
948	C₂²	C₁₉×#552	1	1	yes	characteristic
949	C₂²	C₁₉×#553	1	1	yes	characteristic
950	C₂²	C₁₉×#554	1	1	yes	characteristic
951	C₂²	C₁₉×#554	1	1	yes	characteristic
952	C₂²	C₁₉×#554	1	1	yes	characteristic
953	C₂²	C₁₉×#554	1	1	yes	characteristic
954	C₂²	C₁₉×#556	1	1	yes	characteristic
955	C₂²	C₁₉×#560	1	1	yes	characteristic
956	C₂²	C₁₉×#560	1	1	yes	characteristic
957	C₂²	C₁₉×#562	1	1	yes	characteristic
958	C₂²	C₁₉×#562	1	1	yes	characteristic
959	C₄	—	4	2	no	—
960	C₄	—	4	2	no	—
961	C₄	—	4	2	no	—
962	C₄	—	4	2	no	—
963	C₄	—	4	2	no	—
964	C₄	—	4	2	no	—
965	C₄	—	4	2	no	—
966	C₄	—	4	2	no	—
967	C₄	—	4	2	no	—
968	C₄	—	4	2	no	—
969	C₄	—	4	2	no	—
970	C₄	—	4	2	no	—
971	C₄	—	8	1	no	—
972	C₄	—	8	1	no	—
973	C₂	—	4	4	no	—
974	C₂	C₁₉×#2329	1	1	yes	characteristic
975	C₂	C₁₉×#2333	1	1	yes	characteristic
976	C₂	C₁₉×#2333	1	1	yes	characteristic
977	C₂	C₁₉×#2368	1	1	yes	characteristic
978	C₂	C₁₉×#2368	1	1	yes	characteristic
979	C₂	C₁₉×#2373	1	1	yes	characteristic
980	C₂	C₁₉×#2377	1	1	yes	characteristic
981	C₂	C₁₉×#2735	1	1	yes	characteristic
982	C₂	C₁₉×#2740	1	1	yes	characteristic
983	C₂	C₁₉×#2743	1	1	yes	characteristic
984	C₂	C₁₉×#2748	1	1	yes	characteristic
985	C₂	C₁₉×#2749	1	1	yes	characteristic
986	C₂	C₁₉×#2768	1	1	yes	characteristic
987	C₂	C₁₉×#2780	1	1	yes	characteristic
988	C₂	C₁₉×#2788	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×#1441	C₂	semidirect
9. C₁₉×#1436	C₂	semidirect
10. C₁₉×#1436	C₂	semidirect
11. C₁₉×#1436	C₂	semidirect
12. C₁₉×#1434	C₂	semidirect
29. C₁₉×#396	C₄	semidirect
83. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
84. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
85. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
131. C₁₉×#95	C₂×C₄	semidirect
265. #14591	C₁₉	direct (N × H)
416. #1445	C₂×C₁₉	semidirect
417. #1445	C₂×C₁₉	semidirect
418. #1445	C₂×C₁₉	semidirect
419. #1441	C₂×C₁₉	semidirect
423. #1436	C₂×C₁₉	semidirect
424. #1436	C₂×C₁₉	semidirect
425. #1436	C₂×C₁₉	semidirect
426. #1434	C₂×C₁₉	semidirect
507. #396	C₄×C₁₉	semidirect
577. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
578. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
579. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
625. #95	C₂×C₄×C₁₉	semidirect
626. C₁₉	#14591	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×#1441	2
C₁₉×#1439	2
C₁₉×#1437	2
C₁₉×#1436	2
C₁₉×#1434	2
C₁₉×C₂²⋊#95	2
#14591	19

Subgroups — C19×#14591 #18020550

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14591 #18020550