Subgroups — C₁₉×#14488 #18020447

Order 4864.

1550 conjugacy classes of subgroups.

The subgroup lattice has 1006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#388	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#388	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#385	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1444	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1442	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1442	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1441	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic
9	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic
10	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×C₄⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×C₄⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1434	C₂	1	1	yes	maximal, characteristic, complemented
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×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
22	C₂²×C₄⋊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×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
30	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
31	C₁₉×#388	—	2	4	no	—
32	C₁₉×#388	C₄	1	8	yes	complemented
33	C₁₉×#385	—	2	4	no	—
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	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
53	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
54	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
55	C₂³×C₄×C₁₉	—	2	2	no	—
56	C₂³×C₄×C₁₉	—	2	2	no	—
57	C₂³×C₄×C₁₉	—	2	2	no	—
58	C₂³×C₄×C₁₉	—	4	1	no	—
59	C₂³×C₄×C₁₉	—	4	1	no	—
60	C₂³×C₄×C₁₉	—	4	1	no	—
61	C₂³×C₄×C₁₉	—	4	1	no	—
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	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
76	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
77	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
78	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
79	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
80	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
81	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
82	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
83	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
84	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
85	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
86	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
87	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
88	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
89	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
90	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
91	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
92	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
93	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	complemented
94	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
96	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
97	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
98	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
99	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
100	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
101	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
102	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
103	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
104	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
105	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
106	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
107	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
108	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
109	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
110	C₂×C₂²⋊C₄×C₁₉	D₄	1	4	yes	—
111	C₂×C₂²⋊C₄×C₁₉	Q₈	1	4	yes	—
112	C₂×C₄²×C₁₉	—	2	2	no	—
113	C₂×C₄²×C₁₉	—	2	2	no	—
114	C₂×C₄²×C₁₉	—	4	1	no	—
115	C₂×C₄²×C₁₉	—	4	1	no	—
116	C₂×C₄²×C₁₉	—	4	1	no	—
117	C₂×C₄²×C₁₉	C₂×C₄	1	4	yes	complemented
118	C₁₉×#95	—	2	2	no	—
119	C₁₉×#95	—	2	2	no	—
120	C₁₉×#95	—	2	2	no	—
121	C₁₉×#95	—	2	2	no	—
122	C₁₉×#95	—	2	2	no	—
123	C₁₉×#95	—	2	2	no	—
124	C₁₉×#95	—	2	2	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	—	4	1	no	—
132	C₁₉×#95	—	4	1	no	—
133	C₁₉×#95	—	4	1	no	—
134	C₁₉×#95	—	4	1	no	—
135	C₁₉×#95	—	4	1	no	—
136	C₁₉×#95	C₂×C₄	1	4	yes	complemented
137	C₁₉×#95	C₂×C₄	1	4	yes	complemented
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	—	2	1	no	—
145	C₂⁴×C₁₉	—	2	1	no	—
146	C₂⁴×C₁₉	—	2	1	no	—
147	C₂⁴×C₁₉	—	2	1	no	—
148	C₂⁴×C₁₉	—	2	1	no	—
149	C₂⁴×C₁₉	—	2	1	no	—
150	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
151	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
152	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
153	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
235	C₂²×C₄×C₁₉	—	2	1	no	—
236	C₂²×C₄×C₁₉	—	2	1	no	—
237	C₂²×C₄×C₁₉	—	2	1	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	—	4	4	no	—
242	C₂²×C₄×C₁₉	—	4	4	no	—
243	C₂²×C₄×C₁₉	—	4	4	no	—
244	C₂²×C₄×C₁₉	—	4	4	no	—
245	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
246	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
247	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
248	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
249	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
250	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
251	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
252	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
253	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
254	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
255	C₂²×C₄×C₁₉	#41	1	2	yes	—
256	C₂²×C₄×C₁₉	#41	1	2	yes	—
257	C₂²×C₄×C₁₉	#41	1	2	yes	—
258	C₂²×C₄×C₁₉	#41	1	2	yes	—
259	C₄⋊C₄×C₁₉	—	4	4	no	—
260	C₄⋊C₄×C₁₉	—	4	4	no	—
261	C₄⋊C₄×C₁₉	—	4	4	no	—
262	C₄⋊C₄×C₁₉	—	4	4	no	—
263	C₄⋊C₄×C₁₉	—	4	4	no	—
264	C₄⋊C₄×C₁₉	—	4	4	no	—
265	C₂²⋊C₄×C₁₉	—	4	4	no	—
266	C₂²⋊C₄×C₁₉	—	4	4	no	—
267	C₂²⋊C₄×C₁₉	—	4	4	no	—
268	C₂²⋊C₄×C₁₉	—	4	4	no	—
269	C₂²⋊C₄×C₁₉	—	4	4	no	—
270	C₂²⋊C₄×C₁₉	C₄⋊C₄	1	16	yes	complemented
271	C₄²×C₁₉	—	4	4	no	—
272	C₄²×C₁₉	—	4	4	no	—
273	#14488	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
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	—	2	2	no	—
285	C₂³×C₁₉	—	2	2	no	—
286	C₂³×C₁₉	—	2	2	no	—
287	C₂³×C₁₉	—	2	2	no	—
288	C₂³×C₁₉	—	2	2	no	—
289	C₂³×C₁₉	—	2	2	no	—
290	C₂³×C₁₉	—	2	2	no	—
291	C₂³×C₁₉	—	2	2	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	—	4	1	no	—
301	C₂³×C₁₉	—	4	1	no	—
302	C₂³×C₁₉	—	4	1	no	—
303	C₂³×C₁₉	—	4	1	no	—
304	C₂³×C₁₉	—	4	1	no	—
305	C₂³×C₁₉	—	4	1	no	—
306	C₂³×C₁₉	—	4	1	no	—
307	C₂³×C₁₉	—	4	1	no	—
308	C₂³×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
309	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
310	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
311	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
312	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
313	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
314	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
315	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
316	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
317	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
318	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
319	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
320	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
321	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
322	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
323	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	2	no	—
353	C₂×C₄×C₁₉	—	2	2	no	—
354	C₂×C₄×C₁₉	—	2	2	no	—
355	C₂×C₄×C₁₉	—	2	2	no	—
356	C₂×C₄×C₁₉	—	2	2	no	—
357	C₂×C₄×C₁₉	—	2	2	no	—
358	C₂×C₄×C₁₉	—	2	2	no	—
359	C₂×C₄×C₁₉	—	2	2	no	—
360	C₂×C₄×C₁₉	—	4	16	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×C₄×C₁₉	—	4	1	no	—
416	C₂×C₄×C₁₉	—	4	1	no	—
417	C₂×C₄×C₁₉	—	4	1	no	—
418	C₂×C₄×C₁₉	—	4	1	no	—
419	C₂×C₄×C₁₉	—	4	1	no	—
420	C₂×C₄×C₁₉	—	4	1	no	—
421	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
422	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
423	C₂×#388	C₂×C₁₉	1	1	yes	characteristic
424	C₂×#388	C₂×C₁₉	1	1	yes	characteristic
425	C₂×#385	C₂×C₁₉	1	1	yes	characteristic
426	#1444	C₂×C₁₉	1	1	yes	characteristic, complemented
427	#1442	C₂×C₁₉	1	1	yes	characteristic, complemented
428	#1442	C₂×C₁₉	1	1	yes	characteristic, complemented
429	#1441	C₂×C₁₉	1	1	yes	characteristic, complemented
430	#1439	C₂×C₁₉	1	1	yes	characteristic
431	#1439	C₂×C₁₉	1	1	yes	characteristic
432	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
433	C₄⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
434	C₄⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
435	#1434	C₂×C₁₉	1	1	yes	characteristic, complemented
436	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic
437	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic
438	C₂²×C₁₉	—	2	4	no	—
439	C₂²×C₁₉	—	2	4	no	—
440	C₂²×C₁₉	—	2	4	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	—	4	2	no	—
446	C₂²×C₁₉	—	4	2	no	—
447	C₂²×C₁₉	—	4	2	no	—
448	C₂²×C₁₉	—	4	2	no	—
449	C₂²×C₁₉	—	4	2	no	—
450	C₂²×C₁₉	—	4	2	no	—
451	C₂²×C₁₉	—	4	2	no	—
452	C₂²×C₁₉	—	4	2	no	—
453	C₂²×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
454	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
455	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
456	C₂²×C₁₉	#518	1	1	yes	characteristic
457	C₂²×C₁₉	#518	1	1	yes	characteristic
458	C₂²×C₁₉	#520	1	1	yes	characteristic
459	C₂²×C₁₉	#520	1	1	yes	characteristic
460	C₂²×C₁₉	#535	1	1	yes	characteristic
461	C₂²×C₁₉	#536	1	1	yes	characteristic
462	C₂²×C₁₉	#538	1	1	yes	characteristic
463	C₂²×C₁₉	#538	1	1	yes	characteristic
464	C₂²×C₁₉	#538	1	1	yes	characteristic
465	C₂²×C₁₉	#539	1	1	yes	characteristic
466	C₂²×C₁₉	#540	1	1	yes	characteristic
467	C₂²×C₁₉	#542	1	1	yes	characteristic
468	C₂²×C₁₉	#542	1	1	yes	characteristic
469	C₂²×C₁₉	#542	1	1	yes	characteristic
470	C₂²×C₁₉	#544	1	1	yes	characteristic
471	C₂²×C₁₉	#544	1	1	yes	characteristic
472	C₂²×C₁₉	#546	1	1	yes	characteristic
473	C₂²×C₁₉	#546	1	1	yes	characteristic
474	C₂²×C₁₉	#546	1	1	yes	characteristic
475	C₂²×C₁₉	#546	1	1	yes	characteristic
476	C₂²×C₁₉	#551	1	1	yes	characteristic
477	C₂²×C₁₉	#552	1	1	yes	characteristic
478	C₂²×C₁₉	#553	1	1	yes	characteristic
479	C₂²×C₁₉	#554	1	1	yes	characteristic
480	C₂²×C₁₉	#554	1	1	yes	characteristic
481	C₂²×C₁₉	#554	1	1	yes	characteristic
482	C₂²×C₁₉	#554	1	1	yes	characteristic
483	C₂²×C₁₉	#556	1	1	yes	characteristic
484	C₂²×C₁₉	#560	1	1	yes	characteristic
485	C₂²×C₁₉	#560	1	1	yes	characteristic
486	C₂²×C₁₉	#562	1	1	yes	characteristic
487	C₂²×C₁₉	#562	1	1	yes	characteristic
488	C₄×C₁₉	—	2	4	no	—
489	C₄×C₁₉	—	2	4	no	—
490	C₄×C₁₉	—	4	2	no	—
491	C₄×C₁₉	—	4	2	no	—
492	C₄×C₁₉	—	4	2	no	—
493	C₄×C₁₉	—	4	2	no	—
494	C₄×C₁₉	—	4	2	no	—
495	C₄×C₁₉	—	4	2	no	—
496	C₄×C₁₉	—	4	2	no	—
497	C₄×C₁₉	—	4	2	no	—
498	C₄×C₁₉	—	8	1	no	—
499	C₄×C₁₉	—	8	1	no	—
500	C₄×C₁₉	—	8	1	no	—
501	C₄×C₁₉	—	8	1	no	—
502	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
503	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
504	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
505	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
506	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
507	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
508	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
509	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
510	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
511	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
512	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
513	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
514	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
515	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
516	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
517	#388	—	2	4	no	—
518	#388	C₄×C₁₉	1	8	yes	complemented
519	#385	—	2	4	no	—
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×#95	C₂²×C₁₉	1	1	yes	characteristic
531	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
532	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
533	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
534	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
535	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
536	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
537	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
538	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
539	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
540	C₂×C₁₉	—	4	4	no	—
541	C₂×C₁₉	#2317	1	1	yes	characteristic
542	C₂×C₁₉	#2335	1	1	yes	characteristic
543	C₂×C₁₉	#2337	1	1	yes	characteristic
544	C₂×C₁₉	#2349	1	1	yes	characteristic
545	C₂×C₁₉	#2349	1	1	yes	characteristic
546	C₂×C₁₉	#2373	1	1	yes	characteristic
547	C₂×C₁₉	#2377	1	1	yes	characteristic
548	C₂×C₁₉	#2685	1	1	yes	characteristic
549	C₂×C₁₉	#2687	1	1	yes	characteristic
550	C₂×C₁₉	#2700	1	1	yes	characteristic
551	C₂×C₁₉	#2703	1	1	yes	characteristic
552	C₂×C₁₉	#2742	1	1	yes	characteristic
553	C₂×C₁₉	#2768	1	1	yes	characteristic
554	C₂×C₁₉	#2788	1	1	yes	characteristic
555	C₂×C₁₉	#2790	1	1	yes	characteristic
556	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
557	C₂³×C₄	—	2	2	no	—
558	C₂³×C₄	—	2	2	no	—
559	C₂³×C₄	—	2	2	no	—
560	C₂³×C₄	—	4	1	no	—
561	C₂³×C₄	—	4	1	no	—
562	C₂³×C₄	—	4	1	no	—
563	C₂³×C₄	—	4	1	no	—
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	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
569	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
570	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
571	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
572	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
573	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
574	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
575	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
576	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
577	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
578	C₂×C₄⋊C₄	—	2	2	no	—
579	C₂×C₄⋊C₄	—	2	2	no	—
580	C₂×C₄⋊C₄	—	2	2	no	—
581	C₂×C₄⋊C₄	—	2	2	no	—
582	C₂×C₄⋊C₄	—	2	2	no	—
583	C₂×C₄⋊C₄	—	2	2	no	—
584	C₂×C₄⋊C₄	—	2	2	no	—
585	C₂×C₄⋊C₄	—	4	1	no	—
586	C₂×C₄⋊C₄	—	4	1	no	—
587	C₂×C₄⋊C₄	—	4	1	no	—
588	C₂×C₄⋊C₄	—	4	1	no	—
589	C₂×C₄⋊C₄	—	4	1	no	—
590	C₂×C₄⋊C₄	—	4	1	no	—
591	C₂×C₄⋊C₄	—	4	1	no	—
592	C₂×C₄⋊C₄	—	4	1	no	—
593	C₂×C₄⋊C₄	—	4	1	no	—
594	C₂×C₄⋊C₄	—	4	1	no	—
595	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	complemented
596	C₂×C₂²⋊C₄	—	2	2	no	—
597	C₂×C₂²⋊C₄	—	2	2	no	—
598	C₂×C₂²⋊C₄	—	2	2	no	—
599	C₂×C₂²⋊C₄	—	2	2	no	—
600	C₂×C₂²⋊C₄	—	2	2	no	—
601	C₂×C₂²⋊C₄	—	4	1	no	—
602	C₂×C₂²⋊C₄	—	4	1	no	—
603	C₂×C₂²⋊C₄	—	4	1	no	—
604	C₂×C₂²⋊C₄	—	4	1	no	—
605	C₂×C₂²⋊C₄	—	4	1	no	—
606	C₂×C₂²⋊C₄	—	4	1	no	—
607	C₂×C₂²⋊C₄	—	4	1	no	—
608	C₂×C₂²⋊C₄	—	4	1	no	—
609	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
610	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
611	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
612	C₂×C₂²⋊C₄	D₄×C₁₉	1	4	yes	—
613	C₂×C₂²⋊C₄	Q₈×C₁₉	1	4	yes	—
614	C₂×C₄²	—	2	2	no	—
615	C₂×C₄²	—	2	2	no	—
616	C₂×C₄²	—	4	1	no	—
617	C₂×C₄²	—	4	1	no	—
618	C₂×C₄²	—	4	1	no	—
619	C₂×C₄²	C₂×C₄×C₁₉	1	4	yes	complemented
620	#95	—	2	2	no	—
621	#95	—	2	2	no	—
622	#95	—	2	2	no	—
623	#95	—	2	2	no	—
624	#95	—	2	2	no	—
625	#95	—	2	2	no	—
626	#95	—	2	2	no	—
627	#95	—	4	1	no	—
628	#95	—	4	1	no	—
629	#95	—	4	1	no	—
630	#95	—	4	1	no	—
631	#95	—	4	1	no	—
632	#95	—	4	1	no	—
633	#95	—	4	1	no	—
634	#95	—	4	1	no	—
635	#95	—	4	1	no	—
636	#95	—	4	1	no	—
637	#95	—	4	1	no	—
638	#95	C₂×C₄×C₁₉	1	4	yes	complemented
639	#95	C₂×C₄×C₁₉	1	4	yes	complemented
640	C₁₉	#14488	1	1	yes	characteristic, direct product factor, Sylow
641	C₂⁴	—	2	1	no	—
642	C₂⁴	—	2	1	no	—
643	C₂⁴	—	2	1	no	—
644	C₂⁴	—	2	1	no	—
645	C₂⁴	—	2	1	no	—
646	C₂⁴	—	2	1	no	—
647	C₂⁴	—	2	1	no	—
648	C₂⁴	—	2	1	no	—
649	C₂⁴	—	2	1	no	—
650	C₂⁴	—	2	1	no	—
651	C₂⁴	—	2	1	no	—
652	C₂⁴	—	2	1	no	—
653	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
654	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
655	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
656	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
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	—	2	1	no	—
730	C₂²×C₄	—	2	1	no	—
731	C₂²×C₄	—	2	1	no	—
732	C₂²×C₄	—	2	1	no	—
733	C₂²×C₄	—	2	1	no	—
734	C₂²×C₄	—	2	1	no	—
735	C₂²×C₄	—	2	1	no	—
736	C₂²×C₄	—	2	1	no	—
737	C₂²×C₄	—	2	1	no	—
738	C₂²×C₄	—	2	1	no	—
739	C₂²×C₄	—	2	1	no	—
740	C₂²×C₄	—	2	1	no	—
741	C₂²×C₄	—	4	4	no	—
742	C₂²×C₄	—	4	4	no	—
743	C₂²×C₄	—	4	4	no	—
744	C₂²×C₄	—	4	4	no	—
745	C₂²×C₄	—	4	4	no	—
746	C₂²×C₄	—	4	4	no	—
747	C₂²×C₄	—	4	4	no	—
748	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
749	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
750	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
751	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
752	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
753	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
754	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
755	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
756	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
757	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
758	C₂²×C₄	#41×C₁₉	1	2	yes	—
759	C₂²×C₄	#41×C₁₉	1	2	yes	—
760	C₂²×C₄	#41×C₁₉	1	2	yes	—
761	C₂²×C₄	#41×C₁₉	1	2	yes	—
762	C₄⋊C₄	—	4	4	no	—
763	C₄⋊C₄	—	4	4	no	—
764	C₄⋊C₄	—	4	4	no	—
765	C₄⋊C₄	—	4	4	no	—
766	C₄⋊C₄	—	4	4	no	—
767	C₄⋊C₄	—	4	4	no	—
768	C₂²⋊C₄	—	4	4	no	—
769	C₂²⋊C₄	—	4	4	no	—
770	C₂²⋊C₄	—	4	4	no	—
771	C₂²⋊C₄	—	4	4	no	—
772	C₂²⋊C₄	—	4	4	no	—
773	C₂²⋊C₄	C₄⋊C₄×C₁₉	1	16	yes	complemented
774	C₄²	—	4	4	no	—
775	C₄²	—	4	4	no	—
776	C₂³	—	2	2	no	—
777	C₂³	—	2	2	no	—
778	C₂³	—	2	2	no	—
779	C₂³	—	2	2	no	—
780	C₂³	—	2	2	no	—
781	C₂³	—	2	2	no	—
782	C₂³	—	2	2	no	—
783	C₂³	—	2	2	no	—
784	C₂³	—	2	2	no	—
785	C₂³	—	2	2	no	—
786	C₂³	—	2	2	no	—
787	C₂³	—	2	2	no	—
788	C₂³	—	2	2	no	—
789	C₂³	—	2	2	no	—
790	C₂³	—	2	2	no	—
791	C₂³	—	2	2	no	—
792	C₂³	—	2	2	no	—
793	C₂³	—	2	2	no	—
794	C₂³	—	4	1	no	—
795	C₂³	—	4	1	no	—
796	C₂³	—	4	1	no	—
797	C₂³	—	4	1	no	—
798	C₂³	—	4	1	no	—
799	C₂³	—	4	1	no	—
800	C₂³	—	4	1	no	—
801	C₂³	—	4	1	no	—
802	C₂³	—	4	1	no	—
803	C₂³	—	4	1	no	—
804	C₂³	—	4	1	no	—
805	C₂³	—	4	1	no	—
806	C₂³	—	4	1	no	—
807	C₂³	—	4	1	no	—
808	C₂³	—	4	1	no	—
809	C₂³	—	4	1	no	—
810	C₂³	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
811	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
812	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
813	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
814	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
815	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
816	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
817	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
818	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
819	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
820	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
821	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
822	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
823	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
824	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
825	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	2	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	2	no	—
859	C₂×C₄	—	2	2	no	—
860	C₂×C₄	—	2	2	no	—
861	C₂×C₄	—	2	2	no	—
862	C₂×C₄	—	4	16	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	C₂×C₄	—	4	1	no	—
910	C₂×C₄	—	4	1	no	—
911	C₂×C₄	—	4	1	no	—
912	C₂×C₄	—	4	1	no	—
913	C₂×C₄	—	4	1	no	—
914	C₂×C₄	—	4	1	no	—
915	C₂×C₄	—	4	1	no	—
916	C₂×C₄	—	4	1	no	—
917	C₂×C₄	—	4	1	no	—
918	C₂×C₄	—	4	1	no	—
919	C₂×C₄	—	4	1	no	—
920	C₂×C₄	—	4	1	no	—
921	C₂×C₄	—	4	1	no	—
922	C₂×C₄	—	4	1	no	—
923	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
924	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
925	C₂²	—	2	4	no	—
926	C₂²	—	2	4	no	—
927	C₂²	—	2	4	no	—
928	C₂²	—	4	2	no	—
929	C₂²	—	4	2	no	—
930	C₂²	—	4	2	no	—
931	C₂²	—	4	2	no	—
932	C₂²	—	4	2	no	—
933	C₂²	—	4	2	no	—
934	C₂²	—	4	2	no	—
935	C₂²	—	4	2	no	—
936	C₂²	—	4	2	no	—
937	C₂²	—	4	2	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
941	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
942	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
943	C₂²	C₁₉×#518	1	1	yes	characteristic
944	C₂²	C₁₉×#518	1	1	yes	characteristic
945	C₂²	C₁₉×#520	1	1	yes	characteristic
946	C₂²	C₁₉×#520	1	1	yes	characteristic
947	C₂²	C₁₉×#535	1	1	yes	characteristic
948	C₂²	C₁₉×#536	1	1	yes	characteristic
949	C₂²	C₁₉×#538	1	1	yes	characteristic
950	C₂²	C₁₉×#538	1	1	yes	characteristic
951	C₂²	C₁₉×#538	1	1	yes	characteristic
952	C₂²	C₁₉×#539	1	1	yes	characteristic
953	C₂²	C₁₉×#540	1	1	yes	characteristic
954	C₂²	C₁₉×#542	1	1	yes	characteristic
955	C₂²	C₁₉×#542	1	1	yes	characteristic
956	C₂²	C₁₉×#542	1	1	yes	characteristic
957	C₂²	C₁₉×#544	1	1	yes	characteristic
958	C₂²	C₁₉×#544	1	1	yes	characteristic
959	C₂²	C₁₉×#546	1	1	yes	characteristic
960	C₂²	C₁₉×#546	1	1	yes	characteristic
961	C₂²	C₁₉×#546	1	1	yes	characteristic
962	C₂²	C₁₉×#546	1	1	yes	characteristic
963	C₂²	C₁₉×#551	1	1	yes	characteristic
964	C₂²	C₁₉×#552	1	1	yes	characteristic
965	C₂²	C₁₉×#553	1	1	yes	characteristic
966	C₂²	C₁₉×#554	1	1	yes	characteristic
967	C₂²	C₁₉×#554	1	1	yes	characteristic
968	C₂²	C₁₉×#554	1	1	yes	characteristic
969	C₂²	C₁₉×#554	1	1	yes	characteristic
970	C₂²	C₁₉×#556	1	1	yes	characteristic
971	C₂²	C₁₉×#560	1	1	yes	characteristic
972	C₂²	C₁₉×#560	1	1	yes	characteristic
973	C₂²	C₁₉×#562	1	1	yes	characteristic
974	C₂²	C₁₉×#562	1	1	yes	characteristic
975	C₄	—	2	4	no	—
976	C₄	—	2	4	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	2	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	2	no	—
982	C₄	—	4	2	no	—
983	C₄	—	4	2	no	—
984	C₄	—	4	2	no	—
985	C₄	—	8	1	no	—
986	C₄	—	8	1	no	—
987	C₄	—	8	1	no	—
988	C₄	—	8	1	no	—
989	C₂	—	4	4	no	—
990	C₂	C₁₉×#2317	1	1	yes	characteristic
991	C₂	C₁₉×#2335	1	1	yes	characteristic
992	C₂	C₁₉×#2337	1	1	yes	characteristic
993	C₂	C₁₉×#2349	1	1	yes	characteristic
994	C₂	C₁₉×#2349	1	1	yes	characteristic
995	C₂	C₁₉×#2373	1	1	yes	characteristic
996	C₂	C₁₉×#2377	1	1	yes	characteristic
997	C₂	C₁₉×#2685	1	1	yes	characteristic
998	C₂	C₁₉×#2687	1	1	yes	characteristic
999	C₂	C₁₉×#2700	1	1	yes	characteristic
1000	C₂	C₁₉×#2703	1	1	yes	characteristic
1001	C₂	C₁₉×#2742	1	1	yes	characteristic
1002	C₂	C₁₉×#2768	1	1	yes	characteristic
1003	C₂	C₁₉×#2788	1	1	yes	characteristic
1004	C₂	C₁₉×#2790	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
4. C₁₉×#1444	C₂	semidirect
5. C₁₉×#1442	C₂	semidirect
6. C₁₉×#1442	C₂	semidirect
7. C₁₉×#1441	C₂	semidirect
10. C₁₉×#1436	C₂	semidirect
11. C₁₉×C₄⋊#95	C₂	semidirect
12. C₁₉×C₄⋊#95	C₂	semidirect
13. C₁₉×#1434	C₂	semidirect
32. C₁₉×#388	C₄	semidirect
93. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
117. C₂×C₄²×C₁₉	C₂×C₄	semidirect
136. C₁₉×#95	C₂×C₄	semidirect
137. C₁₉×#95	C₂×C₄	semidirect
270. C₂²⋊C₄×C₁₉	C₄⋊C₄	semidirect
273. #14488	C₁₉	direct (N × H)
426. #1444	C₂×C₁₉	semidirect
427. #1442	C₂×C₁₉	semidirect
428. #1442	C₂×C₁₉	semidirect
429. #1441	C₂×C₁₉	semidirect
432. #1436	C₂×C₁₉	semidirect
433. C₄⋊#95	C₂×C₁₉	semidirect
434. C₄⋊#95	C₂×C₁₉	semidirect
435. #1434	C₂×C₁₉	semidirect
518. #388	C₄×C₁₉	semidirect
595. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
619. C₂×C₄²	C₂×C₄×C₁₉	semidirect
638. #95	C₂×C₄×C₁₉	semidirect
639. #95	C₂×C₄×C₁₉	semidirect
640. C₁₉	#14488	direct (N × H)
773. C₂²⋊C₄	C₄⋊C₄×C₁₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₉×#388	2
C₂×C₁₉×#385	2
C₁₉×#1444	2
C₁₉×#1442	2
C₁₉×#1441	2
C₁₉×#1439	2
C₁₉×#1436	2
C₁₉×C₄⋊#95	2
C₁₉×#1434	2
C₁₉×C₂²⋊#95	2
#14488	19

Subgroups — C19×#14488 #18020447

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14488 #18020447