Subgroups — C₁₉×#11087 #18017046

Order 4864.

1478 conjugacy classes of subgroups.

The subgroup lattice has 916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×#99	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2308	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#386	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₉×#385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#342	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₉×#342	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
9	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×C₄⋊C₄×C₁₉	—	2	1	no	—
11	C₂²×C₂²⋊C₄×C₁₉	—	2	1	no	—
12	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
13	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×#99	—	2	2	no	—
18	C₂×C₁₉×#99	—	2	2	no	—
19	C₂×C₁₉×#99	C₄	1	4	yes	complemented
20	C₁₉×#386	—	2	2	no	—
21	C₁₉×#386	—	2	1	no	—
22	C₁₉×#386	—	2	2	no	—
23	C₁₉×#386	—	2	1	no	—
24	C₁₉×#386	—	2	2	no	—
25	C₁₉×#385	—	2	2	no	—
26	C₁₉×#385	—	2	2	no	—
27	C₁₉×#381	—	2	1	no	—
28	C₁₉×#379	—	2	1	no	—
29	C₂×C₁₉×#95	—	2	1	no	—
30	C₂×C₁₉×#95	—	2	1	no	—
31	C₂×C₁₉×#95	—	2	2	no	—
32	C₁₉×#342	—	2	2	no	—
33	C₁₉×#342	—	2	2	no	—
34	C₂⁵×C₁₉	D₄	1	1	yes	characteristic
35	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
36	C₂²×D₄×C₁₉	—	2	1	no	—
37	C₂²×D₄×C₁₉	—	2	1	no	—
38	C₂²×D₄×C₁₉	—	2	1	no	—
39	C₂²×D₄×C₁₉	—	2	1	no	—
40	C₂²×D₄×C₁₉	—	2	1	no	—
41	C₂²×D₄×C₁₉	—	2	1	no	—
42	C₂²×D₄×C₁₉	—	2	1	no	—
43	C₂²×D₄×C₁₉	—	2	1	no	—
44	C₂²×D₄×C₁₉	—	2	1	no	—
45	C₂²×D₄×C₁₉	—	2	1	no	—
46	C₂²×D₄×C₁₉	—	2	1	no	—
47	C₂²×D₄×C₁₉	—	2	1	no	—
48	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
49	C₂²×D₄×C₁₉	Q₈	1	2	yes	—
50	C₂³×C₄×C₁₉	—	2	1	no	—
51	C₂³×C₄×C₁₉	—	2	1	no	—
52	C₂³×C₄×C₁₉	—	2	1	no	—
53	C₂³×C₄×C₁₉	—	2	1	no	—
54	C₂³×C₄×C₁₉	—	2	1	no	—
55	C₂³×C₄×C₁₉	—	2	1	no	—
56	C₂³×C₄×C₁₉	—	2	1	no	—
57	C₂³×C₄×C₁₉	—	2	1	no	—
58	C₂³×C₄×C₁₉	—	2	1	no	—
59	C₂³×C₄×C₁₉	—	4	4	no	—
60	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
61	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
62	C₂³×C₄×C₁₉	D₄	1	2	yes	—
63	C₂³×C₄×C₁₉	D₄	1	2	yes	—
64	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
65	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
66	C₂×C₄⋊C₄×C₁₉	—	4	4	no	—
67	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
68	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
69	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
70	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
71	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
72	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
73	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
74	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
75	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
76	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
77	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
78	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
79	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
80	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
81	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
82	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
83	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
84	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
85	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
86	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
87	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
88	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
89	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
90	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
91	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
92	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
93	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
94	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	4	4	no	—
96	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
97	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
98	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
99	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
100	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
101	C₁₉×#99	—	2	8	no	—
102	C₁₉×#95	—	2	4	no	—
103	C₁₉×#95	—	2	4	no	—
104	C₁₉×#95	—	2	2	no	—
105	C₁₉×#95	—	2	2	no	—
106	C₁₉×#95	—	4	4	no	—
107	C₂⁴×C₁₉	—	2	1	no	—
108	C₂⁴×C₁₉	—	2	1	no	—
109	C₂⁴×C₁₉	—	2	1	no	—
110	C₂⁴×C₁₉	—	2	1	no	—
111	C₂⁴×C₁₉	—	2	1	no	—
112	C₂⁴×C₁₉	—	2	1	no	—
113	C₂⁴×C₁₉	—	4	2	no	—
114	C₂⁴×C₁₉	—	4	2	no	—
115	C₂⁴×C₁₉	—	4	2	no	—
116	C₂⁴×C₁₉	—	4	2	no	—
117	C₂⁴×C₁₉	C₄⋊C₄	1	2	yes	complemented
118	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
119	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
120	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
121	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
122	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
123	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
124	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
126	C₂⁴×C₁₉	C₂×Q₈	1	1	yes	characteristic
127	C₂⁴×C₁₉	#41	1	1	yes	characteristic
128	C₂⁴×C₁₉	#41	1	1	yes	characteristic
129	C₂⁴×C₁₉	#41	1	1	yes	characteristic
130	C₂⁴×C₁₉	#41	1	1	yes	characteristic
131	C₂⁴×C₁₉	#41	1	1	yes	characteristic
132	C₂⁴×C₁₉	#41	1	1	yes	characteristic
133	C₂×D₄×C₁₉	—	2	2	no	—
134	C₂×D₄×C₁₉	—	2	2	no	—
135	C₂×D₄×C₁₉	—	2	2	no	—
136	C₂×D₄×C₁₉	—	2	2	no	—
137	C₂×D₄×C₁₉	—	2	2	no	—
138	C₂×D₄×C₁₉	—	2	2	no	—
139	C₂×D₄×C₁₉	—	2	2	no	—
140	C₂×D₄×C₁₉	—	2	2	no	—
141	C₂×D₄×C₁₉	—	2	2	no	—
142	C₂×D₄×C₁₉	—	2	2	no	—
143	C₂×D₄×C₁₉	—	2	2	no	—
144	C₂×D₄×C₁₉	—	2	2	no	—
145	C₂×D₄×C₁₉	—	4	1	no	—
146	C₂×D₄×C₁₉	—	4	1	no	—
147	C₂×D₄×C₁₉	—	4	1	no	—
148	C₂×D₄×C₁₉	—	4	1	no	—
149	C₂×D₄×C₁₉	—	4	1	no	—
150	C₂×D₄×C₁₉	—	4	1	no	—
151	C₂×D₄×C₁₉	—	4	1	no	—
152	C₂×D₄×C₁₉	—	4	1	no	—
153	C₂×D₄×C₁₉	—	4	1	no	—
154	C₂×D₄×C₁₉	—	4	1	no	—
155	C₂×D₄×C₁₉	—	4	1	no	—
156	C₂×D₄×C₁₉	—	4	1	no	—
157	C₂×D₄×C₁₉	—	4	1	no	—
158	C₂×D₄×C₁₉	—	4	1	no	—
159	C₂×D₄×C₁₉	—	4	1	no	—
160	C₂×D₄×C₁₉	—	4	1	no	—
161	C₂²×C₄×C₁₉	—	2	4	no	—
162	C₂²×C₄×C₁₉	—	2	4	no	—
163	C₂²×C₄×C₁₉	—	2	4	no	—
164	C₂²×C₄×C₁₉	—	2	2	no	—
165	C₂²×C₄×C₁₉	—	2	2	no	—
166	C₂²×C₄×C₁₉	—	2	2	no	—
167	C₂²×C₄×C₁₉	—	2	2	no	—
168	C₂²×C₄×C₁₉	—	2	1	no	—
169	C₂²×C₄×C₁₉	—	2	1	no	—
170	C₂²×C₄×C₁₉	—	2	2	no	—
171	C₂²×C₄×C₁₉	—	2	2	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	2	no	—
177	C₂²×C₄×C₁₉	—	2	2	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	2	no	—
183	C₂²×C₄×C₁₉	—	2	2	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	1	no	—
186	C₂²×C₄×C₁₉	—	2	2	no	—
187	C₂²×C₄×C₁₉	—	4	4	no	—
188	C₂²×C₄×C₁₉	—	4	4	no	—
189	C₂²×C₄×C₁₉	—	4	4	no	—
190	C₂²×C₄×C₁₉	—	4	4	no	—
191	C₂²×C₄×C₁₉	—	4	2	no	—
192	C₂²×C₄×C₁₉	—	4	2	no	—
193	C₂²×C₄×C₁₉	—	4	2	no	—
194	C₂²×C₄×C₁₉	—	4	2	no	—
195	C₂²×C₄×C₁₉	—	4	2	no	—
196	C₂²×C₄×C₁₉	—	4	1	no	—
197	C₂²×C₄×C₁₉	—	4	1	no	—
198	C₂²×C₄×C₁₉	—	4	1	no	—
199	C₂²×C₄×C₁₉	—	4	1	no	—
200	C₂²×C₄×C₁₉	—	4	2	no	—
201	C₂²×C₄×C₁₉	—	4	2	no	—
202	C₂²×C₄×C₁₉	—	4	2	no	—
203	C₂²×C₄×C₁₉	—	4	2	no	—
204	C₂²×C₄×C₁₉	—	4	2	no	—
205	C₂²×C₄×C₁₉	—	4	2	no	—
206	C₂²×C₄×C₁₉	—	4	2	no	—
207	C₂²×C₄×C₁₉	—	4	2	no	—
208	C₂²×C₄×C₁₉	—	4	1	no	—
209	C₂²×C₄×C₁₉	—	4	1	no	—
210	C₂²×C₄×C₁₉	—	4	1	no	—
211	C₂²×C₄×C₁₉	—	4	1	no	—
212	C₂²×C₄×C₁₉	C₄⋊C₄	1	2	yes	complemented
213	C₄⋊C₄×C₁₉	—	4	8	no	—
214	C₂²⋊C₄×C₁₉	—	2	2	no	—
215	C₂²⋊C₄×C₁₉	—	2	2	no	—
216	C₂²⋊C₄×C₁₉	—	2	2	no	—
217	C₂²⋊C₄×C₁₉	—	2	2	no	—
218	C₂²⋊C₄×C₁₉	—	2	2	no	—
219	C₂²⋊C₄×C₁₉	—	2	2	no	—
220	C₂²⋊C₄×C₁₉	—	2	2	no	—
221	C₂²⋊C₄×C₁₉	—	4	8	no	—
222	C₂²⋊C₄×C₁₉	—	4	1	no	—
223	C₂²⋊C₄×C₁₉	—	4	1	no	—
224	C₂²⋊C₄×C₁₉	—	4	1	no	—
225	C₂²⋊C₄×C₁₉	—	4	1	no	—
226	C₂²⋊C₄×C₁₉	—	4	1	no	—
227	C₂²⋊C₄×C₁₉	—	4	1	no	—
228	C₂²⋊C₄×C₁₉	—	4	1	no	—
229	C₂²⋊C₄×C₁₉	—	4	1	no	—
230	C₂²⋊C₄×C₁₉	—	4	1	no	—
231	C₂²⋊C₄×C₁₉	—	4	1	no	—
232	C₂²⋊C₄×C₁₉	—	4	1	no	—
233	C₂²⋊C₄×C₁₉	—	4	1	no	—
234	C₂²⋊C₄×C₁₉	—	8	2	no	—
235	C₂²⋊C₄×C₁₉	—	8	2	no	—
236	C₂²⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	complemented
237	#11087	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
238	C₂³×C₁₉	—	2	2	no	—
239	C₂³×C₁₉	—	2	2	no	—
240	C₂³×C₁₉	—	2	2	no	—
241	C₂³×C₁₉	—	2	2	no	—
242	C₂³×C₁₉	—	2	2	no	—
243	C₂³×C₁₉	—	2	2	no	—
244	C₂³×C₁₉	—	2	2	no	—
245	C₂³×C₁₉	—	2	2	no	—
246	C₂³×C₁₉	—	2	2	no	—
247	C₂³×C₁₉	—	4	1	no	—
248	C₂³×C₁₉	—	4	1	no	—
249	C₂³×C₁₉	—	4	1	no	—
250	C₂³×C₁₉	—	4	1	no	—
251	C₂³×C₁₉	—	4	2	no	—
252	C₂³×C₁₉	—	4	1	no	—
253	C₂³×C₁₉	—	4	1	no	—
254	C₂³×C₁₉	—	4	1	no	—
255	C₂³×C₁₉	—	4	2	no	—
256	C₂³×C₁₉	—	4	2	no	—
257	C₂³×C₁₉	—	4	2	no	—
258	C₂³×C₁₉	—	4	2	no	—
259	C₂³×C₁₉	—	4	1	no	—
260	C₂³×C₁₉	—	4	2	no	—
261	C₂³×C₁₉	—	4	2	no	—
262	C₂³×C₁₉	—	4	2	no	—
263	C₂³×C₁₉	—	4	4	no	—
264	C₂³×C₁₉	—	4	2	no	—
265	C₂³×C₁₉	—	4	2	no	—
266	C₂³×C₁₉	—	4	4	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	2	no	—
272	C₂³×C₁₉	—	4	2	no	—
273	C₂³×C₁₉	—	8	2	no	—
274	C₂³×C₁₉	—	8	1	no	—
275	C₂³×C₁₉	—	8	1	no	—
276	C₂³×C₁₉	—	8	2	no	—
277	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
278	C₂³×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
279	C₂³×C₁₉	#117	1	1	yes	characteristic
280	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
281	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
282	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
283	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
284	C₂³×C₁₉	#120	1	1	yes	characteristic
285	C₂³×C₁₉	#120	1	1	yes	characteristic
286	C₂³×C₁₉	#120	1	1	yes	characteristic
287	C₂³×C₁₉	#121	1	1	yes	characteristic
288	C₂³×C₁₉	#121	1	1	yes	characteristic
289	C₂³×C₁₉	#121	1	1	yes	characteristic
290	C₂³×C₁₉	#121	1	1	yes	characteristic
291	C₂³×C₁₉	#121	1	1	yes	characteristic
292	C₂³×C₁₉	#121	1	1	yes	characteristic
293	C₂³×C₁₉	#121	1	1	yes	characteristic
294	C₂³×C₁₉	#121	1	1	yes	characteristic
295	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
296	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
297	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
298	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
299	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
300	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
301	C₂³×C₁₉	#123	1	1	yes	characteristic
302	C₂³×C₁₉	#123	1	1	yes	characteristic
303	C₂³×C₁₉	#123	1	1	yes	characteristic
304	C₂³×C₁₉	#123	1	1	yes	characteristic
305	C₂³×C₁₉	#123	1	1	yes	characteristic
306	C₂³×C₁₉	#124	1	1	yes	characteristic
307	C₂³×C₁₉	#124	1	1	yes	characteristic
308	C₂³×C₁₉	#124	1	1	yes	characteristic
309	C₂³×C₁₉	#126	1	1	yes	characteristic
310	C₂³×C₁₉	#126	1	1	yes	characteristic
311	C₂³×C₁₉	#127	1	1	yes	characteristic
312	D₄×C₁₉	—	4	2	no	—
313	D₄×C₁₉	—	4	2	no	—
314	D₄×C₁₉	—	4	2	no	—
315	D₄×C₁₉	—	4	2	no	—
316	D₄×C₁₉	—	4	2	no	—
317	D₄×C₁₉	—	4	2	no	—
318	D₄×C₁₉	—	4	2	no	—
319	D₄×C₁₉	—	4	2	no	—
320	C₂×C₄×C₁₉	—	2	4	no	—
321	C₂×C₄×C₁₉	—	2	4	no	—
322	C₂×C₄×C₁₉	—	2	4	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	4	no	—
327	C₂×C₄×C₁₉	—	4	2	no	—
328	C₂×C₄×C₁₉	—	4	4	no	—
329	C₂×C₄×C₁₉	—	4	2	no	—
330	C₂×C₄×C₁₉	—	4	4	no	—
331	C₂×C₄×C₁₉	—	4	2	no	—
332	C₂×C₄×C₁₉	—	4	2	no	—
333	C₂×C₄×C₁₉	—	4	2	no	—
334	C₂×C₄×C₁₉	—	4	4	no	—
335	C₂×C₄×C₁₉	—	4	4	no	—
336	C₂×C₄×C₁₉	—	4	4	no	—
337	C₂×C₄×C₁₉	—	4	2	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	4	no	—
343	C₂×C₄×C₁₉	—	4	2	no	—
344	C₂×C₄×C₁₉	—	4	2	no	—
345	C₂×C₄×C₁₉	—	4	4	no	—
346	C₂×C₄×C₁₉	—	4	2	no	—
347	C₂×C₄×C₁₉	—	4	2	no	—
348	C₂×C₄×C₁₉	—	4	4	no	—
349	C₂×C₄×C₁₉	—	4	2	no	—
350	C₂×C₄×C₁₉	—	4	1	no	—
351	C₂×C₄×C₁₉	—	4	1	no	—
352	C₂×C₄×C₁₉	—	4	2	no	—
353	C₂×C₄×C₁₉	—	4	2	no	—
354	C₂×C₄×C₁₉	—	4	2	no	—
355	C₂×C₄×C₁₉	—	4	2	no	—
356	C₂×C₄×C₁₉	—	4	2	no	—
357	C₂×C₄×C₁₉	—	4	2	no	—
358	C₂×C₄×C₁₉	—	8	2	no	—
359	C₂×C₄×C₁₉	—	8	1	no	—
360	C₂×C₄×C₁₉	—	8	1	no	—
361	C₂×C₄×C₁₉	—	8	2	no	—
362	C₂×C₄×C₁₉	—	8	2	no	—
363	C₂×C₄×C₁₉	—	8	1	no	—
364	C₂×C₄×C₁₉	—	8	1	no	—
365	C₂×C₄×C₁₉	—	8	2	no	—
366	C₂²×#99	C₂×C₁₉	1	1	yes	characteristic
367	#2308	C₂×C₁₉	1	1	yes	characteristic
368	C₂×#386	C₂×C₁₉	1	1	yes	characteristic
369	C₂×#385	C₂×C₁₉	1	1	yes	characteristic, complemented
370	C₂×#342	C₂×C₁₉	1	1	yes	characteristic, complemented
371	C₂×#342	C₂×C₁₉	1	1	yes	characteristic, complemented
372	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
373	C₂²×C₁₉	—	2	2	no	—
374	C₂²×C₁₉	—	2	2	no	—
375	C₂²×C₁₉	—	2	2	no	—
376	C₂²×C₁₉	—	2	2	no	—
377	C₂²×C₁₉	—	2	2	no	—
378	C₂²×C₁₉	—	2	2	no	—
379	C₂²×C₁₉	—	2	1	no	—
380	C₂²×C₁₉	—	2	1	no	—
381	C₂²×C₁₉	—	2	1	no	—
382	C₂²×C₁₉	—	2	1	no	—
383	C₂²×C₁₉	—	2	1	no	—
384	C₂²×C₁₉	—	2	1	no	—
385	C₂²×C₁₉	—	2	1	no	—
386	C₂²×C₁₉	—	2	1	no	—
387	C₂²×C₁₉	—	2	1	no	—
388	C₂²×C₁₉	—	2	1	no	—
389	C₂²×C₁₉	—	2	1	no	—
390	C₂²×C₁₉	—	2	1	no	—
391	C₂²×C₁₉	—	2	2	no	—
392	C₂²×C₁₉	—	2	2	no	—
393	C₂²×C₁₉	—	2	2	no	—
394	C₂²×C₁₉	—	2	2	no	—
395	C₂²×C₁₉	—	2	2	no	—
396	C₂²×C₁₉	—	2	2	no	—
397	C₂²×C₁₉	—	4	1	no	—
398	C₂²×C₁₉	—	4	1	no	—
399	C₂²×C₁₉	—	4	1	no	—
400	C₂²×C₁₉	—	4	1	no	—
401	C₂²×C₁₉	—	4	1	no	—
402	C₂²×C₁₉	—	4	1	no	—
403	C₂²×C₁₉	—	4	1	no	—
404	C₂²×C₁₉	—	4	1	no	—
405	C₂²×C₁₉	—	4	1	no	—
406	C₂²×C₁₉	—	4	1	no	—
407	C₂²×C₁₉	—	4	1	no	—
408	C₂²×C₁₉	—	4	1	no	—
409	C₂²×C₁₉	—	4	1	no	—
410	C₂²×C₁₉	—	4	1	no	—
411	C₂²×C₁₉	—	4	1	no	—
412	C₂²×C₁₉	—	4	1	no	—
413	C₂²×C₁₉	—	4	4	no	—
414	C₂²×C₁₉	—	4	4	no	—
415	C₂²×C₁₉	—	4	2	no	—
416	C₂²×C₁₉	—	8	2	no	—
417	C₂²×C₁₉	—	8	2	no	—
418	C₂²×C₁₉	—	8	2	no	—
419	C₂²×C₁₉	—	8	1	no	—
420	C₂²×C₁₉	—	8	1	no	—
421	C₂²×C₁₉	—	8	2	no	—
422	C₂²×C₁₉	#380	1	1	yes	characteristic
423	C₂²×C₁₉	#385	1	1	yes	characteristic
424	C₂²×C₁₉	#385	1	1	yes	characteristic
425	C₂²×C₁₉	#386	1	1	yes	characteristic
426	C₂²×C₁₉	#388	1	1	yes	characteristic
427	C₂²×C₁₉	#388	1	1	yes	characteristic
428	C₂²×C₁₉	#390	1	1	yes	characteristic
429	C₂²×C₁₉	#392	1	1	yes	characteristic
430	C₂²×C₁₉	#393	1	1	yes	characteristic
431	C₂²×C₁₉	#394	1	1	yes	characteristic
432	C₂²×C₁₉	#394	1	1	yes	characteristic
433	C₂²×C₁₉	#396	1	1	yes	characteristic
434	C₂²×C₁₉	#396	1	1	yes	characteristic
435	C₂²×C₁₉	#397	1	1	yes	characteristic
436	C₂²×C₁₉	#399	1	1	yes	characteristic
437	C₂²×C₁₉	B(4,𝔽₂)	1	2	yes	—
438	C₂²×C₁₉	#458	1	2	yes	—
439	C₄×C₁₉	—	4	4	no	—
440	C₄×C₁₉	—	4	2	no	—
441	C₄×C₁₉	—	4	4	no	—
442	C₄×C₁₉	—	8	2	no	—
443	C₄×C₁₉	—	8	2	no	—
444	C₄×C₁₉	—	8	1	no	—
445	C₄×C₁₉	—	8	1	no	—
446	C₄×C₁₉	—	8	2	no	—
447	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
448	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
449	C₂²×C₄⋊C₄	—	2	1	no	—
450	C₂²×C₂²⋊C₄	—	2	1	no	—
451	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
452	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
453	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
454	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
455	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
456	C₂×#99	—	2	2	no	—
457	C₂×#99	—	2	2	no	—
458	C₂×#99	C₄×C₁₉	1	4	yes	complemented
459	#386	—	2	1	no	—
460	#386	—	2	1	no	—
461	#386	—	2	2	no	—
462	#386	—	2	2	no	—
463	#386	—	2	2	no	—
464	#385	—	2	2	no	—
465	#385	—	2	2	no	—
466	#381	—	2	1	no	—
467	#379	—	2	1	no	—
468	C₂×#95	—	2	1	no	—
469	C₂×#95	—	2	1	no	—
470	C₂×#95	—	2	2	no	—
471	#342	—	2	2	no	—
472	#342	—	2	2	no	—
473	C₂×C₁₉	—	2	1	no	—
474	C₂×C₁₉	—	2	1	no	—
475	C₂×C₁₉	—	2	1	no	—
476	C₂×C₁₉	—	2	1	no	—
477	C₂×C₁₉	—	2	1	no	—
478	C₂×C₁₉	—	2	1	no	—
479	C₂×C₁₉	—	2	1	no	—
480	C₂×C₁₉	—	2	1	no	—
481	C₂×C₁₉	—	2	1	no	—
482	C₂×C₁₉	—	2	1	no	—
483	C₂×C₁₉	—	2	1	no	—
484	C₂×C₁₉	—	2	1	no	—
485	C₂×C₁₉	—	8	2	no	—
486	C₂×C₁₉	#1439	1	1	yes	characteristic
487	C₂×C₁₉	#1867	1	2	yes	—
488	C₂×C₁₉	#2021	1	1	yes	characteristic
489	C₂×C₁₉	#2022	1	1	yes	characteristic
490	C₂×C₁₉	#2044	1	2	yes	—
491	C₂⁵	D₄×C₁₉	1	1	yes	characteristic
492	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
493	C₂²×D₄	—	2	1	no	—
494	C₂²×D₄	—	2	1	no	—
495	C₂²×D₄	—	2	1	no	—
496	C₂²×D₄	—	2	1	no	—
497	C₂²×D₄	—	2	1	no	—
498	C₂²×D₄	—	2	1	no	—
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	—	2	1	no	—
501	C₂²×D₄	—	2	1	no	—
502	C₂²×D₄	—	2	1	no	—
503	C₂²×D₄	—	2	1	no	—
504	C₂²×D₄	—	2	1	no	—
505	C₂²×D₄	C₂×C₄×C₁₉	1	2	yes	—
506	C₂²×D₄	Q₈×C₁₉	1	2	yes	—
507	C₂³×C₄	—	2	1	no	—
508	C₂³×C₄	—	2	1	no	—
509	C₂³×C₄	—	2	1	no	—
510	C₂³×C₄	—	2	1	no	—
511	C₂³×C₄	—	2	1	no	—
512	C₂³×C₄	—	2	1	no	—
513	C₂³×C₄	—	2	1	no	—
514	C₂³×C₄	—	2	1	no	—
515	C₂³×C₄	—	2	1	no	—
516	C₂³×C₄	—	4	4	no	—
517	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
518	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
519	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
520	C₂³×C₄	D₄×C₁₉	1	2	yes	—
521	C₂³×C₄	D₄×C₁₉	1	2	yes	—
522	C₂×C₄⋊C₄	—	2	4	no	—
523	C₂×C₄⋊C₄	—	4	4	no	—
524	C₂×C₂²⋊C₄	—	2	1	no	—
525	C₂×C₂²⋊C₄	—	2	1	no	—
526	C₂×C₂²⋊C₄	—	2	1	no	—
527	C₂×C₂²⋊C₄	—	2	1	no	—
528	C₂×C₂²⋊C₄	—	2	1	no	—
529	C₂×C₂²⋊C₄	—	2	1	no	—
530	C₂×C₂²⋊C₄	—	2	1	no	—
531	C₂×C₂²⋊C₄	—	2	1	no	—
532	C₂×C₂²⋊C₄	—	2	1	no	—
533	C₂×C₂²⋊C₄	—	2	1	no	—
534	C₂×C₂²⋊C₄	—	2	1	no	—
535	C₂×C₂²⋊C₄	—	2	4	no	—
536	C₂×C₂²⋊C₄	—	2	1	no	—
537	C₂×C₂²⋊C₄	—	2	1	no	—
538	C₂×C₂²⋊C₄	—	2	1	no	—
539	C₂×C₂²⋊C₄	—	2	1	no	—
540	C₂×C₂²⋊C₄	—	2	1	no	—
541	C₂×C₂²⋊C₄	—	2	1	no	—
542	C₂×C₂²⋊C₄	—	2	1	no	—
543	C₂×C₂²⋊C₄	—	2	1	no	—
544	C₂×C₂²⋊C₄	—	2	1	no	—
545	C₂×C₂²⋊C₄	—	2	1	no	—
546	C₂×C₂²⋊C₄	—	2	1	no	—
547	C₂×C₂²⋊C₄	—	2	1	no	—
548	C₂×C₂²⋊C₄	—	2	1	no	—
549	C₂×C₂²⋊C₄	—	2	1	no	—
550	C₂×C₂²⋊C₄	—	2	2	no	—
551	C₂×C₂²⋊C₄	—	2	2	no	—
552	C₂×C₂²⋊C₄	—	4	4	no	—
553	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
554	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
555	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
556	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
557	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
558	#99	—	2	8	no	—
559	#95	—	2	4	no	—
560	#95	—	2	4	no	—
561	#95	—	2	2	no	—
562	#95	—	2	2	no	—
563	#95	—	4	4	no	—
564	C₁₉	#11087	1	1	yes	characteristic, direct product factor, Sylow
565	C₂⁴	—	2	1	no	—
566	C₂⁴	—	2	1	no	—
567	C₂⁴	—	2	1	no	—
568	C₂⁴	—	2	1	no	—
569	C₂⁴	—	2	1	no	—
570	C₂⁴	—	2	1	no	—
571	C₂⁴	—	4	2	no	—
572	C₂⁴	—	4	2	no	—
573	C₂⁴	—	4	2	no	—
574	C₂⁴	—	4	2	no	—
575	C₂⁴	C₄⋊C₄×C₁₉	1	2	yes	complemented
576	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
577	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
578	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
579	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
580	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
581	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
582	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
583	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
584	C₂⁴	C₂×Q₈×C₁₉	1	1	yes	characteristic
585	C₂⁴	#41×C₁₉	1	1	yes	characteristic
586	C₂⁴	#41×C₁₉	1	1	yes	characteristic
587	C₂⁴	#41×C₁₉	1	1	yes	characteristic
588	C₂⁴	#41×C₁₉	1	1	yes	characteristic
589	C₂⁴	#41×C₁₉	1	1	yes	characteristic
590	C₂⁴	#41×C₁₉	1	1	yes	characteristic
591	C₂×D₄	—	2	2	no	—
592	C₂×D₄	—	2	2	no	—
593	C₂×D₄	—	2	2	no	—
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	—	2	2	no	—
597	C₂×D₄	—	2	2	no	—
598	C₂×D₄	—	2	2	no	—
599	C₂×D₄	—	2	2	no	—
600	C₂×D₄	—	2	2	no	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	2	2	no	—
603	C₂×D₄	—	4	1	no	—
604	C₂×D₄	—	4	1	no	—
605	C₂×D₄	—	4	1	no	—
606	C₂×D₄	—	4	1	no	—
607	C₂×D₄	—	4	1	no	—
608	C₂×D₄	—	4	1	no	—
609	C₂×D₄	—	4	1	no	—
610	C₂×D₄	—	4	1	no	—
611	C₂×D₄	—	4	1	no	—
612	C₂×D₄	—	4	1	no	—
613	C₂×D₄	—	4	1	no	—
614	C₂×D₄	—	4	1	no	—
615	C₂×D₄	—	4	1	no	—
616	C₂×D₄	—	4	1	no	—
617	C₂×D₄	—	4	1	no	—
618	C₂×D₄	—	4	1	no	—
619	C₂²×C₄	—	2	4	no	—
620	C₂²×C₄	—	2	4	no	—
621	C₂²×C₄	—	2	4	no	—
622	C₂²×C₄	—	2	2	no	—
623	C₂²×C₄	—	2	1	no	—
624	C₂²×C₄	—	2	1	no	—
625	C₂²×C₄	—	2	2	no	—
626	C₂²×C₄	—	2	2	no	—
627	C₂²×C₄	—	2	2	no	—
628	C₂²×C₄	—	2	2	no	—
629	C₂²×C₄	—	2	2	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	2	no	—
635	C₂²×C₄	—	2	1	no	—
636	C₂²×C₄	—	2	1	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	2	2	no	—
639	C₂²×C₄	—	2	2	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	2	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	1	no	—
644	C₂²×C₄	—	2	2	no	—
645	C₂²×C₄	—	4	4	no	—
646	C₂²×C₄	—	4	4	no	—
647	C₂²×C₄	—	4	4	no	—
648	C₂²×C₄	—	4	4	no	—
649	C₂²×C₄	—	4	2	no	—
650	C₂²×C₄	—	4	2	no	—
651	C₂²×C₄	—	4	2	no	—
652	C₂²×C₄	—	4	2	no	—
653	C₂²×C₄	—	4	2	no	—
654	C₂²×C₄	—	4	1	no	—
655	C₂²×C₄	—	4	1	no	—
656	C₂²×C₄	—	4	1	no	—
657	C₂²×C₄	—	4	1	no	—
658	C₂²×C₄	—	4	2	no	—
659	C₂²×C₄	—	4	2	no	—
660	C₂²×C₄	—	4	2	no	—
661	C₂²×C₄	—	4	2	no	—
662	C₂²×C₄	—	4	2	no	—
663	C₂²×C₄	—	4	2	no	—
664	C₂²×C₄	—	4	2	no	—
665	C₂²×C₄	—	4	2	no	—
666	C₂²×C₄	—	4	1	no	—
667	C₂²×C₄	—	4	1	no	—
668	C₂²×C₄	—	4	1	no	—
669	C₂²×C₄	—	4	1	no	—
670	C₂²×C₄	C₄⋊C₄×C₁₉	1	2	yes	complemented
671	C₄⋊C₄	—	4	8	no	—
672	C₂²⋊C₄	—	2	2	no	—
673	C₂²⋊C₄	—	2	2	no	—
674	C₂²⋊C₄	—	2	2	no	—
675	C₂²⋊C₄	—	2	2	no	—
676	C₂²⋊C₄	—	2	2	no	—
677	C₂²⋊C₄	—	2	2	no	—
678	C₂²⋊C₄	—	2	2	no	—
679	C₂²⋊C₄	—	4	8	no	—
680	C₂²⋊C₄	—	4	1	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₂²⋊C₄	—	4	1	no	—
684	C₂²⋊C₄	—	4	1	no	—
685	C₂²⋊C₄	—	4	1	no	—
686	C₂²⋊C₄	—	4	1	no	—
687	C₂²⋊C₄	—	4	1	no	—
688	C₂²⋊C₄	—	4	1	no	—
689	C₂²⋊C₄	—	4	1	no	—
690	C₂²⋊C₄	—	4	1	no	—
691	C₂²⋊C₄	—	4	1	no	—
692	C₂²⋊C₄	—	8	2	no	—
693	C₂²⋊C₄	—	8	2	no	—
694	C₂²⋊C₄	C₂²⋊C₄×C₁₉	1	4	yes	complemented
695	C₂³	—	2	2	no	—
696	C₂³	—	2	2	no	—
697	C₂³	—	2	2	no	—
698	C₂³	—	2	2	no	—
699	C₂³	—	2	2	no	—
700	C₂³	—	2	2	no	—
701	C₂³	—	2	2	no	—
702	C₂³	—	2	2	no	—
703	C₂³	—	2	2	no	—
704	C₂³	—	4	1	no	—
705	C₂³	—	4	1	no	—
706	C₂³	—	4	1	no	—
707	C₂³	—	4	1	no	—
708	C₂³	—	4	2	no	—
709	C₂³	—	4	1	no	—
710	C₂³	—	4	1	no	—
711	C₂³	—	4	1	no	—
712	C₂³	—	4	2	no	—
713	C₂³	—	4	2	no	—
714	C₂³	—	4	1	no	—
715	C₂³	—	4	2	no	—
716	C₂³	—	4	2	no	—
717	C₂³	—	4	2	no	—
718	C₂³	—	4	2	no	—
719	C₂³	—	4	2	no	—
720	C₂³	—	4	4	no	—
721	C₂³	—	4	2	no	—
722	C₂³	—	4	2	no	—
723	C₂³	—	4	4	no	—
724	C₂³	—	4	1	no	—
725	C₂³	—	4	1	no	—
726	C₂³	—	4	1	no	—
727	C₂³	—	4	1	no	—
728	C₂³	—	4	2	no	—
729	C₂³	—	4	2	no	—
730	C₂³	—	8	2	no	—
731	C₂³	—	8	1	no	—
732	C₂³	—	8	1	no	—
733	C₂³	—	8	2	no	—
734	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
735	C₂³	C₂×C₄⋊C₄×C₁₉	1	1	yes	characteristic
736	C₂³	C₁₉×#117	1	1	yes	characteristic
737	C₂³	C₄×D₄×C₁₉	1	1	yes	characteristic
738	C₂³	C₄×D₄×C₁₉	1	1	yes	characteristic
739	C₂³	C₄×D₄×C₁₉	1	1	yes	characteristic
740	C₂³	C₄×D₄×C₁₉	1	1	yes	characteristic
741	C₂³	C₁₉×#120	1	1	yes	characteristic
742	C₂³	C₁₉×#120	1	1	yes	characteristic
743	C₂³	C₁₉×#120	1	1	yes	characteristic
744	C₂³	C₁₉×#121	1	1	yes	characteristic
745	C₂³	C₁₉×#121	1	1	yes	characteristic
746	C₂³	C₁₉×#121	1	1	yes	characteristic
747	C₂³	C₁₉×#121	1	1	yes	characteristic
748	C₂³	C₁₉×#121	1	1	yes	characteristic
749	C₂³	C₁₉×#121	1	1	yes	characteristic
750	C₂³	C₁₉×#121	1	1	yes	characteristic
751	C₂³	C₁₉×#121	1	1	yes	characteristic
752	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
753	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
754	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
755	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
756	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
757	C₂³	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
758	C₂³	C₁₉×#123	1	1	yes	characteristic
759	C₂³	C₁₉×#123	1	1	yes	characteristic
760	C₂³	C₁₉×#123	1	1	yes	characteristic
761	C₂³	C₁₉×#123	1	1	yes	characteristic
762	C₂³	C₁₉×#123	1	1	yes	characteristic
763	C₂³	C₁₉×#124	1	1	yes	characteristic
764	C₂³	C₁₉×#124	1	1	yes	characteristic
765	C₂³	C₁₉×#124	1	1	yes	characteristic
766	C₂³	C₁₉×#126	1	1	yes	characteristic
767	C₂³	C₁₉×#126	1	1	yes	characteristic
768	C₂³	C₁₉×#127	1	1	yes	characteristic
769	D₄	—	4	2	no	—
770	D₄	—	4	2	no	—
771	D₄	—	4	2	no	—
772	D₄	—	4	2	no	—
773	D₄	—	4	2	no	—
774	D₄	—	4	2	no	—
775	D₄	—	4	2	no	—
776	D₄	—	4	2	no	—
777	C₂×C₄	—	2	4	no	—
778	C₂×C₄	—	2	4	no	—
779	C₂×C₄	—	2	4	no	—
780	C₂×C₄	—	2	2	no	—
781	C₂×C₄	—	2	2	no	—
782	C₂×C₄	—	2	2	no	—
783	C₂×C₄	—	2	4	no	—
784	C₂×C₄	—	4	2	no	—
785	C₂×C₄	—	4	2	no	—
786	C₂×C₄	—	4	2	no	—
787	C₂×C₄	—	4	2	no	—
788	C₂×C₄	—	4	4	no	—
789	C₂×C₄	—	4	4	no	—
790	C₂×C₄	—	4	4	no	—
791	C₂×C₄	—	4	2	no	—
792	C₂×C₄	—	4	4	no	—
793	C₂×C₄	—	4	4	no	—
794	C₂×C₄	—	4	2	no	—
795	C₂×C₄	—	4	1	no	—
796	C₂×C₄	—	4	1	no	—
797	C₂×C₄	—	4	1	no	—
798	C₂×C₄	—	4	1	no	—
799	C₂×C₄	—	4	4	no	—
800	C₂×C₄	—	4	2	no	—
801	C₂×C₄	—	4	2	no	—
802	C₂×C₄	—	4	2	no	—
803	C₂×C₄	—	4	4	no	—
804	C₂×C₄	—	4	2	no	—
805	C₂×C₄	—	4	4	no	—
806	C₂×C₄	—	4	2	no	—
807	C₂×C₄	—	4	1	no	—
808	C₂×C₄	—	4	1	no	—
809	C₂×C₄	—	4	2	no	—
810	C₂×C₄	—	4	2	no	—
811	C₂×C₄	—	4	2	no	—
812	C₂×C₄	—	4	2	no	—
813	C₂×C₄	—	4	2	no	—
814	C₂×C₄	—	4	2	no	—
815	C₂×C₄	—	8	1	no	—
816	C₂×C₄	—	8	1	no	—
817	C₂×C₄	—	8	2	no	—
818	C₂×C₄	—	8	2	no	—
819	C₂×C₄	—	8	2	no	—
820	C₂×C₄	—	8	1	no	—
821	C₂×C₄	—	8	1	no	—
822	C₂×C₄	—	8	2	no	—
823	C₂²	—	2	1	no	—
824	C₂²	—	2	1	no	—
825	C₂²	—	2	1	no	—
826	C₂²	—	2	1	no	—
827	C₂²	—	2	1	no	—
828	C₂²	—	2	1	no	—
829	C₂²	—	2	1	no	—
830	C₂²	—	2	1	no	—
831	C₂²	—	2	1	no	—
832	C₂²	—	2	1	no	—
833	C₂²	—	2	1	no	—
834	C₂²	—	2	1	no	—
835	C₂²	—	2	2	no	—
836	C₂²	—	2	2	no	—
837	C₂²	—	2	2	no	—
838	C₂²	—	2	2	no	—
839	C₂²	—	2	2	no	—
840	C₂²	—	2	2	no	—
841	C₂²	—	2	2	no	—
842	C₂²	—	2	2	no	—
843	C₂²	—	2	2	no	—
844	C₂²	—	2	2	no	—
845	C₂²	—	2	2	no	—
846	C₂²	—	2	2	no	—
847	C₂²	—	4	1	no	—
848	C₂²	—	4	1	no	—
849	C₂²	—	4	1	no	—
850	C₂²	—	4	1	no	—
851	C₂²	—	4	1	no	—
852	C₂²	—	4	1	no	—
853	C₂²	—	4	1	no	—
854	C₂²	—	4	1	no	—
855	C₂²	—	4	1	no	—
856	C₂²	—	4	1	no	—
857	C₂²	—	4	1	no	—
858	C₂²	—	4	1	no	—
859	C₂²	—	4	1	no	—
860	C₂²	—	4	1	no	—
861	C₂²	—	4	1	no	—
862	C₂²	—	4	1	no	—
863	C₂²	—	4	4	no	—
864	C₂²	—	4	2	no	—
865	C₂²	—	4	4	no	—
866	C₂²	—	8	2	no	—
867	C₂²	—	8	2	no	—
868	C₂²	—	8	2	no	—
869	C₂²	—	8	1	no	—
870	C₂²	—	8	1	no	—
871	C₂²	—	8	2	no	—
872	C₂²	C₁₉×#380	1	1	yes	characteristic
873	C₂²	C₁₉×#385	1	1	yes	characteristic
874	C₂²	C₁₉×#385	1	1	yes	characteristic
875	C₂²	C₁₉×#386	1	1	yes	characteristic
876	C₂²	C₁₉×#388	1	1	yes	characteristic
877	C₂²	C₁₉×#388	1	1	yes	characteristic
878	C₂²	C₁₉×#390	1	1	yes	characteristic
879	C₂²	C₁₉×#392	1	1	yes	characteristic
880	C₂²	C₁₉×#393	1	1	yes	characteristic
881	C₂²	C₁₉×#394	1	1	yes	characteristic
882	C₂²	C₁₉×#394	1	1	yes	characteristic
883	C₂²	C₁₉×#396	1	1	yes	characteristic
884	C₂²	C₁₉×#396	1	1	yes	characteristic
885	C₂²	C₁₉×#397	1	1	yes	characteristic
886	C₂²	C₁₉×#399	1	1	yes	characteristic
887	C₂²	C₁₉×B(4,𝔽₂)	1	2	yes	—
888	C₂²	C₁₉×#458	1	2	yes	—
889	C₄	—	4	4	no	—
890	C₄	—	4	2	no	—
891	C₄	—	4	4	no	—
892	C₄	—	8	2	no	—
893	C₄	—	8	2	no	—
894	C₄	—	8	1	no	—
895	C₄	—	8	1	no	—
896	C₄	—	8	2	no	—
897	C₂	—	2	1	no	—
898	C₂	—	2	1	no	—
899	C₂	—	2	1	no	—
900	C₂	—	2	1	no	—
901	C₂	—	2	1	no	—
902	C₂	—	2	1	no	—
903	C₂	—	2	1	no	—
904	C₂	—	2	1	no	—
905	C₂	—	2	1	no	—
906	C₂	—	2	1	no	—
907	C₂	—	2	1	no	—
908	C₂	—	2	1	no	—
909	C₂	—	8	2	no	—
910	C₂	C₁₉×#1439	1	1	yes	characteristic
911	C₂	C₁₉×#1867	1	2	yes	—
912	C₂	C₁₉×#2021	1	1	yes	characteristic
913	C₂	C₁₉×#2022	1	1	yes	characteristic
914	C₂	C₁₉×#2044	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	#120
commutator	C₂⁴	C₂²×C₄×C₁₉
Frattini, cosocle	C₂⁵	C₂³×C₁₉
prime radical	C₂³×D₄×C₁₉	C₂²
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂⁵×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₂×C₁₉×#385	C₂	semidirect
5. C₂×C₁₉×#342	C₂	semidirect
6. C₂×C₁₉×#342	C₂	semidirect
7. C₁₉×C₂²⋊#95	C₂	semidirect
19. C₂×C₁₉×#99	C₄	semidirect
117. C₂⁴×C₁₉	C₄⋊C₄	semidirect
212. C₂²×C₄×C₁₉	C₄⋊C₄	semidirect
236. C₂²⋊C₄×C₁₉	C₂²⋊C₄	semidirect
237. #11087	C₁₉	direct (N × H)
369. C₂×#385	C₂×C₁₉	semidirect
370. C₂×#342	C₂×C₁₉	semidirect
371. C₂×#342	C₂×C₁₉	semidirect
372. C₂²⋊#95	C₂×C₁₉	semidirect
458. C₂×#99	C₄×C₁₉	semidirect
564. C₁₉	#11087	direct (N × H)
575. C₂⁴	C₄⋊C₄×C₁₉	semidirect
670. C₂²×C₄	C₄⋊C₄×C₁₉	semidirect
694. C₂²⋊C₄	C₂²⋊C₄×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×#99	2
C₁₉×#2308	2
C₂×C₁₉×#386	2
C₂×C₁₉×#385	2
C₂×C₁₉×#342	2
C₁₉×C₂²⋊#95	2
#11087	19

Subgroups — C19×#11087 #18017046

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#11087 #18017046