Subgroups — C₁₉×#14727 #18020686

Order 4864.

3350 conjugacy classes of subgroups.

The subgroup lattice has 930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#397	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#385	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#379	C₂	1	1	yes	maximal, characteristic
5	C₂×C₁₉×#379	C₂	1	1	yes	maximal, characteristic
6	C₁₉×#1440	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1440	C₂	1	2	yes	maximal, complemented
8	C₁₉×#1439	C₂	1	2	yes	maximal, complemented
9	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂⁶×C₁₉	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	complemented
16	C₂²×C₂²⋊C₄×C₁₉	—	2	4	no	—
17	C₂²×C₂²⋊C₄×C₁₉	—	2	8	no	—
18	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
20	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
21	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
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	2	yes	—
25	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
28	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₁₉×#397	—	2	8	no	—
31	C₁₉×#385	—	2	4	no	—
32	C₁₉×#379	—	2	4	no	—
33	C₁₉×#379	—	2	4	no	—
34	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
35	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
36	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
37	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
38	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
39	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
40	C₂×C₁₉×#95	C₂²	1	2	yes	complemented
41	C₂⁵×C₁₉	—	2	4	no	—
42	C₂⁵×C₁₉	—	2	4	no	—
43	C₂⁵×C₁₉	—	2	2	no	—
44	C₂⁵×C₁₉	—	2	2	no	—
45	C₂⁵×C₁₉	—	2	2	no	—
46	C₂⁵×C₁₉	—	2	2	no	—
47	C₂⁵×C₁₉	—	2	2	no	—
48	C₂⁵×C₁₉	—	2	2	no	—
49	C₂⁵×C₁₉	—	4	2	no	—
50	C₂⁵×C₁₉	—	4	2	no	—
51	C₂⁵×C₁₉	D₄	1	4	yes	—
52	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
53	C₂⁵×C₁₉	C₂³	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	4	no	—
58	C₂³×C₄×C₁₉	—	2	4	no	—
59	C₂³×C₄×C₁₉	—	2	2	no	—
60	C₂³×C₄×C₁₉	—	2	2	no	—
61	C₂³×C₄×C₁₉	—	2	2	no	—
62	C₂³×C₄×C₁₉	—	2	2	no	—
63	C₂³×C₄×C₁₉	—	4	2	no	—
64	C₂³×C₄×C₁₉	—	4	2	no	—
65	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
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	2	yes	—
71	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
72	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
73	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
74	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
75	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
76	C₂×C₂²⋊C₄×C₁₉	—	2	32	no	—
77	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
78	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
79	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
80	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
81	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
82	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
83	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
84	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
85	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
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	—	2	2	no	—
91	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
92	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
93	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
94	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
96	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
97	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
98	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
99	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
100	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
101	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
102	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
103	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
104	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
105	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
106	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
107	C₂×C₂²⋊C₄×C₁₉	D₄	1	4	yes	—
108	C₂×C₂²⋊C₄×C₁₉	D₄	1	8	yes	—
109	C₁₉×#95	—	2	4	no	—
110	C₁₉×#95	—	2	4	no	—
111	C₁₉×#95	—	2	4	no	—
112	C₁₉×#95	—	2	4	no	—
113	C₁₉×#95	—	4	2	no	—
114	C₁₉×#95	—	4	2	no	—
115	C₁₉×#95	—	4	2	no	—
116	C₂⁴×C₁₉	—	2	2	no	—
117	C₂⁴×C₁₉	—	2	2	no	—
118	C₂⁴×C₁₉	—	2	2	no	—
119	C₂⁴×C₁₉	—	2	2	no	—
120	C₂⁴×C₁₉	—	2	16	no	—
121	C₂⁴×C₁₉	—	2	16	no	—
122	C₂⁴×C₁₉	—	2	8	no	—
123	C₂⁴×C₁₉	—	2	8	no	—
124	C₂⁴×C₁₉	—	2	8	no	—
125	C₂⁴×C₁₉	—	2	2	no	—
126	C₂⁴×C₁₉	—	2	1	no	—
127	C₂⁴×C₁₉	—	2	1	no	—
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	2	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	2	no	—
140	C₂⁴×C₁₉	—	2	2	no	—
141	C₂⁴×C₁₉	—	2	2	no	—
142	C₂⁴×C₁₉	—	2	2	no	—
143	C₂⁴×C₁₉	—	2	8	no	—
144	C₂⁴×C₁₉	—	2	8	no	—
145	C₂⁴×C₁₉	—	4	4	no	—
146	C₂⁴×C₁₉	—	4	4	no	—
147	C₂⁴×C₁₉	—	4	8	no	—
148	C₂⁴×C₁₉	—	4	8	no	—
149	C₂⁴×C₁₉	—	4	8	no	—
150	C₂⁴×C₁₉	—	4	8	no	—
151	C₂⁴×C₁₉	—	4	8	no	—
152	C₂⁴×C₁₉	—	4	8	no	—
153	C₂⁴×C₁₉	—	4	8	no	—
154	C₂⁴×C₁₉	—	4	8	no	—
155	C₂⁴×C₁₉	—	4	8	no	—
156	C₂⁴×C₁₉	—	4	8	no	—
157	C₂⁴×C₁₉	—	4	4	no	—
158	C₂⁴×C₁₉	—	4	4	no	—
159	C₂⁴×C₁₉	—	4	4	no	—
160	C₂⁴×C₁₉	—	4	4	no	—
161	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
162	C₂⁴×C₁₉	C₂×D₄	1	4	yes	—
163	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
164	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
165	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
166	C₂⁴×C₁₉	#41	1	4	yes	—
167	C₂⁴×C₁₉	#41	1	2	yes	—
168	C₂⁴×C₁₉	#41	1	2	yes	—
169	C₂⁴×C₁₉	#41	1	2	yes	—
170	C₂⁴×C₁₉	#41	1	2	yes	—
171	C₂⁴×C₁₉	#41	1	2	yes	—
172	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
173	C₂²×C₄×C₁₉	—	2	8	no	—
174	C₂²×C₄×C₁₉	—	2	8	no	—
175	C₂²×C₄×C₁₉	—	2	2	no	—
176	C₂²×C₄×C₁₉	—	2	2	no	—
177	C₂²×C₄×C₁₉	—	2	2	no	—
178	C₂²×C₄×C₁₉	—	2	2	no	—
179	C₂²×C₄×C₁₉	—	2	2	no	—
180	C₂²×C₄×C₁₉	—	2	2	no	—
181	C₂²×C₄×C₁₉	—	2	2	no	—
182	C₂²×C₄×C₁₉	—	2	2	no	—
183	C₂²×C₄×C₁₉	—	2	2	no	—
184	C₂²×C₄×C₁₉	—	2	2	no	—
185	C₂²×C₄×C₁₉	—	2	2	no	—
186	C₂²×C₄×C₁₉	—	2	2	no	—
187	C₂²×C₄×C₁₉	—	2	2	no	—
188	C₂²×C₄×C₁₉	—	2	2	no	—
189	C₂²×C₄×C₁₉	—	2	2	no	—
190	C₂²×C₄×C₁₉	—	2	2	no	—
191	C₂²×C₄×C₁₉	—	2	2	no	—
192	C₂²×C₄×C₁₉	—	2	2	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	2	no	—
198	C₂²×C₄×C₁₉	—	2	1	no	—
199	C₂²×C₄×C₁₉	—	2	2	no	—
200	C₂²×C₄×C₁₉	—	2	2	no	—
201	C₂²×C₄×C₁₉	—	2	1	no	—
202	C₂²×C₄×C₁₉	—	2	2	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	2	no	—
208	C₂²×C₄×C₁₉	—	2	1	no	—
209	C₂²×C₄×C₁₉	—	2	1	no	—
210	C₂²×C₄×C₁₉	—	2	2	no	—
211	C₂²×C₄×C₁₉	—	2	2	no	—
212	C₂²×C₄×C₁₉	—	2	2	no	—
213	C₂²×C₄×C₁₉	—	2	2	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	—	4	8	no	—
221	C₂²×C₄×C₁₉	—	4	8	no	—
222	C₂²×C₄×C₁₉	—	4	8	no	—
223	C₂²×C₄×C₁₉	—	4	8	no	—
224	C₂²×C₄×C₁₉	—	4	4	no	—
225	C₂²×C₄×C₁₉	—	4	4	no	—
226	C₂²×C₄×C₁₉	—	4	4	no	—
227	C₂²×C₄×C₁₉	—	4	4	no	—
228	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
229	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
230	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
231	C₄⋊C₄×C₁₉	—	4	8	no	—
232	C₂²⋊C₄×C₁₉	—	2	16	no	—
233	C₂²⋊C₄×C₁₉	—	2	16	no	—
234	C₂²⋊C₄×C₁₉	—	2	8	no	—
235	C₂²⋊C₄×C₁₉	—	4	8	no	—
236	C₂²⋊C₄×C₁₉	—	4	8	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	—	4	4	no	—
242	C₂²⋊C₄×C₁₉	—	4	4	no	—
243	C₂²⋊C₄×C₁₉	—	4	4	no	—
244	#14727	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
245	C₂³×C₁₉	—	2	2	no	—
246	C₂³×C₁₉	—	2	2	no	—
247	C₂³×C₁₉	—	2	4	no	—
248	C₂³×C₁₉	—	2	4	no	—
249	C₂³×C₁₉	—	2	2	no	—
250	C₂³×C₁₉	—	2	2	no	—
251	C₂³×C₁₉	—	2	4	no	—
252	C₂³×C₁₉	—	2	4	no	—
253	C₂³×C₁₉	—	2	4	no	—
254	C₂³×C₁₉	—	2	4	no	—
255	C₂³×C₁₉	—	2	4	no	—
256	C₂³×C₁₉	—	2	4	no	—
257	C₂³×C₁₉	—	2	4	no	—
258	C₂³×C₁₉	—	2	4	no	—
259	C₂³×C₁₉	—	2	4	no	—
260	C₂³×C₁₉	—	2	4	no	—
261	C₂³×C₁₉	—	2	32	no	—
262	C₂³×C₁₉	—	2	2	no	—
263	C₂³×C₁₉	—	2	2	no	—
264	C₂³×C₁₉	—	2	2	no	—
265	C₂³×C₁₉	—	2	2	no	—
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	4	no	—
271	C₂³×C₁₉	—	2	4	no	—
272	C₂³×C₁₉	—	2	4	no	—
273	C₂³×C₁₉	—	2	4	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	4	no	—
279	C₂³×C₁₉	—	2	4	no	—
280	C₂³×C₁₉	—	2	4	no	—
281	C₂³×C₁₉	—	2	4	no	—
282	C₂³×C₁₉	—	2	4	no	—
283	C₂³×C₁₉	—	2	4	no	—
284	C₂³×C₁₉	—	2	4	no	—
285	C₂³×C₁₉	—	2	4	no	—
286	C₂³×C₁₉	—	4	16	no	—
287	C₂³×C₁₉	—	4	16	no	—
288	C₂³×C₁₉	—	4	16	no	—
289	C₂³×C₁₉	—	4	16	no	—
290	C₂³×C₁₉	—	4	16	no	—
291	C₂³×C₁₉	—	4	32	no	—
292	C₂³×C₁₉	—	4	32	no	—
293	C₂³×C₁₉	—	4	32	no	—
294	C₂³×C₁₉	—	4	32	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	2	no	—
304	C₂³×C₁₉	—	4	2	no	—
305	C₂³×C₁₉	—	4	2	no	—
306	C₂³×C₁₉	—	4	2	no	—
307	C₂³×C₁₉	—	4	2	no	—
308	C₂³×C₁₉	—	4	2	no	—
309	C₂³×C₁₉	—	4	2	no	—
310	C₂³×C₁₉	—	4	2	no	—
311	C₂³×C₁₉	—	4	2	no	—
312	C₂³×C₁₉	—	4	2	no	—
313	C₂³×C₁₉	—	4	2	no	—
314	C₂³×C₁₉	—	4	2	no	—
315	C₂³×C₁₉	—	4	16	no	—
316	C₂³×C₁₉	#120	1	4	yes	—
317	C₂³×C₁₉	#121	1	4	yes	—
318	C₂³×C₁₉	#123	1	4	yes	—
319	C₂³×C₁₉	#123	1	4	yes	—
320	C₂³×C₁₉	#123	1	4	yes	—
321	C₂³×C₁₉	#123	1	4	yes	—
322	C₂³×C₁₉	#124	1	4	yes	—
323	C₂³×C₁₉	#126	1	4	yes	—
324	C₂³×C₁₉	#126	1	4	yes	—
325	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
326	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
327	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
328	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
329	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
330	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
331	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
332	C₂³×C₁₉	C₂×#41	1	2	yes	—
333	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
334	C₂³×C₁₉	H(5,𝔽₂)	1	2	yes	—
335	C₂³×C₁₉	H(5,𝔽₂)	1	2	yes	—
336	C₂×C₄×C₁₉	—	2	4	no	—
337	C₂×C₄×C₁₉	—	2	4	no	—
338	C₂×C₄×C₁₉	—	2	4	no	—
339	C₂×C₄×C₁₉	—	2	4	no	—
340	C₂×C₄×C₁₉	—	2	4	no	—
341	C₂×C₄×C₁₉	—	2	4	no	—
342	C₂×C₄×C₁₉	—	2	4	no	—
343	C₂×C₄×C₁₉	—	2	4	no	—
344	C₂×C₄×C₁₉	—	2	4	no	—
345	C₂×C₄×C₁₉	—	4	16	no	—
346	C₂×C₄×C₁₉	—	4	16	no	—
347	C₂×C₄×C₁₉	—	4	2	no	—
348	C₂×C₄×C₁₉	—	4	2	no	—
349	C₂×C₄×C₁₉	—	4	2	no	—
350	C₂×C₄×C₁₉	—	4	2	no	—
351	C₂×C₄×C₁₉	—	4	2	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	—	4	2	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	2	no	—
368	C₂×C₄×C₁₉	—	4	2	no	—
369	C₂×C₄×C₁₉	—	4	2	no	—
370	C₂×C₄×C₁₉	—	4	2	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	2	no	—
376	C₂×C₄×C₁₉	—	4	2	no	—
377	C₂×C₄×C₁₉	—	4	2	no	—
378	C₂×C₄×C₁₉	—	4	2	no	—
379	C₂×C₄×C₁₉	—	4	2	no	—
380	C₂×C₄×C₁₉	—	4	2	no	—
381	C₂×C₄×C₁₉	—	4	2	no	—
382	C₂×C₄×C₁₉	—	4	2	no	—
383	C₂×C₄×C₁₉	—	4	2	no	—
384	C₂×C₄×C₁₉	—	4	2	no	—
385	C₂×C₄×C₁₉	—	4	2	no	—
386	C₂³×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic
387	C₂×#397	C₂×C₁₉	1	2	yes	complemented
388	C₂×#385	C₂×C₁₉	1	1	yes	characteristic, complemented
389	C₂×#379	C₂×C₁₉	1	1	yes	characteristic
390	C₂×#379	C₂×C₁₉	1	1	yes	characteristic
391	#1440	C₂×C₁₉	1	2	yes	complemented
392	#1440	C₂×C₁₉	1	2	yes	complemented
393	#1439	C₂×C₁₉	1	2	yes	complemented
394	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
395	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
396	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
397	C₂²×C₁₉	—	2	4	no	—
398	C₂²×C₁₉	—	2	4	no	—
399	C₂²×C₁₉	—	2	4	no	—
400	C₂²×C₁₉	—	2	4	no	—
401	C₂²×C₁₉	—	2	4	no	—
402	C₂²×C₁₉	—	2	8	no	—
403	C₂²×C₁₉	—	2	8	no	—
404	C₂²×C₁₉	—	2	8	no	—
405	C₂²×C₁₉	—	2	8	no	—
406	C₂²×C₁₉	—	2	4	no	—
407	C₂²×C₁₉	—	2	4	no	—
408	C₂²×C₁₉	—	2	4	no	—
409	C₂²×C₁₉	—	2	4	no	—
410	C₂²×C₁₉	—	2	4	no	—
411	C₂²×C₁₉	—	2	4	no	—
412	C₂²×C₁₉	—	2	4	no	—
413	C₂²×C₁₉	—	4	64	no	—
414	C₂²×C₁₉	—	4	2	no	—
415	C₂²×C₁₉	—	4	2	no	—
416	C₂²×C₁₉	—	4	2	no	—
417	C₂²×C₁₉	—	4	2	no	—
418	C₂²×C₁₉	—	4	2	no	—
419	C₂²×C₁₉	—	4	2	no	—
420	C₂²×C₁₉	—	4	2	no	—
421	C₂²×C₁₉	—	4	4	no	—
422	C₂²×C₁₉	—	4	4	no	—
423	C₂²×C₁₉	—	4	4	no	—
424	C₂²×C₁₉	—	4	4	no	—
425	C₂²×C₁₉	—	4	4	no	—
426	C₂²×C₁₉	—	4	4	no	—
427	C₂²×C₁₉	—	4	4	no	—
428	C₂²×C₁₉	—	4	4	no	—
429	C₂²×C₁₉	—	4	2	no	—
430	C₂²×C₁₉	#397	1	8	yes	complemented
431	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
432	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
433	C₂²×C₁₉	C₂×#123	1	1	yes	characteristic
434	C₂²×C₁₉	C₂×#123	1	1	yes	characteristic
435	C₂²×C₁₉	C₂×#123	1	1	yes	characteristic
436	C₂²×C₁₉	C₂×#123	1	1	yes	characteristic
437	C₂²×C₁₉	#525	1	2	yes	—
438	C₂²×C₁₉	#525	1	2	yes	—
439	C₂²×C₁₉	C₂×#124	1	1	yes	characteristic
440	C₂²×C₁₉	C₂×#126	1	1	yes	characteristic
441	C₂²×C₁₉	C₂×#126	1	1	yes	characteristic
442	C₂²×C₁₉	#534	1	1	yes	characteristic
443	C₂²×C₁₉	#534	1	1	yes	characteristic
444	C₂²×C₁₉	#538	1	2	yes	—
445	C₂²×C₁₉	#538	1	2	yes	—
446	C₂²×C₁₉	D₄²	1	2	yes	—
447	C₂²×C₁₉	#546	1	2	yes	—
448	C₂²×C₁₉	#546	1	2	yes	—
449	C₂²×C₁₉	#546	1	2	yes	—
450	C₂²×C₁₉	#546	1	2	yes	—
451	C₂²×C₁₉	#551	1	2	yes	—
452	C₂²×C₁₉	#551	1	2	yes	—
453	C₂²×C₁₉	#551	1	2	yes	—
454	C₄×C₁₉	—	4	4	no	—
455	C₄×C₁₉	—	4	4	no	—
456	C₄×C₁₉	—	4	4	no	—
457	C₄×C₁₉	—	8	1	no	—
458	C₄×C₁₉	—	8	1	no	—
459	C₄×C₁₉	—	8	1	no	—
460	C₄×C₁₉	—	8	1	no	—
461	C₄×C₁₉	—	8	2	no	—
462	C₂⁶	C₂²×C₁₉	1	1	yes	characteristic
463	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
464	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
465	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	complemented
466	C₂²×C₂²⋊C₄	—	2	4	no	—
467	C₂²×C₂²⋊C₄	—	2	8	no	—
468	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
469	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
470	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
471	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
472	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
473	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
474	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
475	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
476	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
477	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
478	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
479	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
480	#397	—	2	8	no	—
481	#385	—	2	4	no	—
482	#379	—	2	4	no	—
483	#379	—	2	4	no	—
484	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
485	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
486	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
487	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
488	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
489	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
490	C₂×#95	C₂²×C₁₉	1	2	yes	complemented
491	C₂×C₁₉	—	2	8	no	—
492	C₂×C₁₉	—	4	4	no	—
493	C₂×C₁₉	—	4	4	no	—
494	C₂×C₁₉	C₂×#397	1	1	yes	characteristic
495	C₂×C₁₉	#2405	1	1	yes	characteristic
496	C₂×C₁₉	#2410	1	1	yes	characteristic
497	C₂×C₁₉	#2412	1	1	yes	characteristic
498	C₂×C₁₉	#2418	1	2	yes	—
499	C₂×C₁₉	#2472	1	2	yes	—
500	C₂×C₁₉	#2480	1	2	yes	—
501	C₂×C₁₉	#2480	1	2	yes	—
502	C₂×C₁₉	#2483	1	1	yes	characteristic
503	C₂×C₁₉	#2622	1	1	yes	characteristic
504	C₂×C₁₉	#2849	1	1	yes	characteristic
505	C₂⁵	—	2	4	no	—
506	C₂⁵	—	2	4	no	—
507	C₂⁵	—	2	2	no	—
508	C₂⁵	—	2	2	no	—
509	C₂⁵	—	2	2	no	—
510	C₂⁵	—	2	2	no	—
511	C₂⁵	—	2	2	no	—
512	C₂⁵	—	2	2	no	—
513	C₂⁵	—	4	2	no	—
514	C₂⁵	—	4	2	no	—
515	C₂⁵	D₄×C₁₉	1	4	yes	—
516	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
517	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
518	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
519	C₂³×C₄	—	2	2	no	—
520	C₂³×C₄	—	2	2	no	—
521	C₂³×C₄	—	2	4	no	—
522	C₂³×C₄	—	2	4	no	—
523	C₂³×C₄	—	2	2	no	—
524	C₂³×C₄	—	2	2	no	—
525	C₂³×C₄	—	2	2	no	—
526	C₂³×C₄	—	2	2	no	—
527	C₂³×C₄	—	4	2	no	—
528	C₂³×C₄	—	4	2	no	—
529	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
530	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
531	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
532	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
533	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
534	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
535	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
536	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
537	C₂×C₄⋊C₄	—	2	4	no	—
538	C₂×C₄⋊C₄	—	2	4	no	—
539	C₂×C₄⋊C₄	—	4	2	no	—
540	C₂×C₂²⋊C₄	—	2	32	no	—
541	C₂×C₂²⋊C₄	—	2	4	no	—
542	C₂×C₂²⋊C₄	—	2	4	no	—
543	C₂×C₂²⋊C₄	—	2	4	no	—
544	C₂×C₂²⋊C₄	—	2	2	no	—
545	C₂×C₂²⋊C₄	—	2	2	no	—
546	C₂×C₂²⋊C₄	—	2	4	no	—
547	C₂×C₂²⋊C₄	—	2	4	no	—
548	C₂×C₂²⋊C₄	—	2	2	no	—
549	C₂×C₂²⋊C₄	—	2	2	no	—
550	C₂×C₂²⋊C₄	—	2	2	no	—
551	C₂×C₂²⋊C₄	—	2	2	no	—
552	C₂×C₂²⋊C₄	—	2	2	no	—
553	C₂×C₂²⋊C₄	—	2	2	no	—
554	C₂×C₂²⋊C₄	—	2	2	no	—
555	C₂×C₂²⋊C₄	—	2	2	no	—
556	C₂×C₂²⋊C₄	—	2	4	no	—
557	C₂×C₂²⋊C₄	—	2	4	no	—
558	C₂×C₂²⋊C₄	—	2	4	no	—
559	C₂×C₂²⋊C₄	—	2	2	no	—
560	C₂×C₂²⋊C₄	—	2	4	no	—
561	C₂×C₂²⋊C₄	—	2	2	no	—
562	C₂×C₂²⋊C₄	—	2	2	no	—
563	C₂×C₂²⋊C₄	—	2	2	no	—
564	C₂×C₂²⋊C₄	—	2	2	no	—
565	C₂×C₂²⋊C₄	—	2	4	no	—
566	C₂×C₂²⋊C₄	—	2	4	no	—
567	C₂×C₂²⋊C₄	—	4	2	no	—
568	C₂×C₂²⋊C₄	—	4	2	no	—
569	C₂×C₂²⋊C₄	—	4	2	no	—
570	C₂×C₂²⋊C₄	—	4	2	no	—
571	C₂×C₂²⋊C₄	D₄×C₁₉	1	8	yes	—
572	C₂×C₂²⋊C₄	D₄×C₁₉	1	4	yes	—
573	#95	—	2	4	no	—
574	#95	—	2	4	no	—
575	#95	—	2	4	no	—
576	#95	—	2	4	no	—
577	#95	—	4	2	no	—
578	#95	—	4	2	no	—
579	#95	—	4	2	no	—
580	C₁₉	#14727	1	1	yes	characteristic, direct product factor, Sylow
581	C₂⁴	—	2	2	no	—
582	C₂⁴	—	2	2	no	—
583	C₂⁴	—	2	2	no	—
584	C₂⁴	—	2	2	no	—
585	C₂⁴	—	2	16	no	—
586	C₂⁴	—	2	16	no	—
587	C₂⁴	—	2	8	no	—
588	C₂⁴	—	2	8	no	—
589	C₂⁴	—	2	8	no	—
590	C₂⁴	—	2	2	no	—
591	C₂⁴	—	2	1	no	—
592	C₂⁴	—	2	1	no	—
593	C₂⁴	—	2	1	no	—
594	C₂⁴	—	2	1	no	—
595	C₂⁴	—	2	1	no	—
596	C₂⁴	—	2	1	no	—
597	C₂⁴	—	2	2	no	—
598	C₂⁴	—	2	1	no	—
599	C₂⁴	—	2	1	no	—
600	C₂⁴	—	2	1	no	—
601	C₂⁴	—	2	1	no	—
602	C₂⁴	—	2	1	no	—
603	C₂⁴	—	2	1	no	—
604	C₂⁴	—	2	2	no	—
605	C₂⁴	—	2	2	no	—
606	C₂⁴	—	2	2	no	—
607	C₂⁴	—	2	2	no	—
608	C₂⁴	—	2	8	no	—
609	C₂⁴	—	2	8	no	—
610	C₂⁴	—	4	4	no	—
611	C₂⁴	—	4	4	no	—
612	C₂⁴	—	4	8	no	—
613	C₂⁴	—	4	8	no	—
614	C₂⁴	—	4	8	no	—
615	C₂⁴	—	4	8	no	—
616	C₂⁴	—	4	8	no	—
617	C₂⁴	—	4	8	no	—
618	C₂⁴	—	4	8	no	—
619	C₂⁴	—	4	8	no	—
620	C₂⁴	—	4	8	no	—
621	C₂⁴	—	4	8	no	—
622	C₂⁴	—	4	4	no	—
623	C₂⁴	—	4	4	no	—
624	C₂⁴	—	4	4	no	—
625	C₂⁴	—	4	4	no	—
626	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
627	C₂⁴	C₂×D₄×C₁₉	1	4	yes	—
628	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
629	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
630	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
631	C₂⁴	#41×C₁₉	1	4	yes	—
632	C₂⁴	#41×C₁₉	1	2	yes	—
633	C₂⁴	#41×C₁₉	1	2	yes	—
634	C₂⁴	#41×C₁₉	1	2	yes	—
635	C₂⁴	#41×C₁₉	1	2	yes	—
636	C₂⁴	#41×C₁₉	1	2	yes	—
637	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
638	C₂²×C₄	—	2	8	no	—
639	C₂²×C₄	—	2	8	no	—
640	C₂²×C₄	—	2	2	no	—
641	C₂²×C₄	—	2	2	no	—
642	C₂²×C₄	—	2	2	no	—
643	C₂²×C₄	—	2	2	no	—
644	C₂²×C₄	—	2	2	no	—
645	C₂²×C₄	—	2	2	no	—
646	C₂²×C₄	—	2	2	no	—
647	C₂²×C₄	—	2	2	no	—
648	C₂²×C₄	—	2	2	no	—
649	C₂²×C₄	—	2	2	no	—
650	C₂²×C₄	—	2	2	no	—
651	C₂²×C₄	—	2	2	no	—
652	C₂²×C₄	—	2	2	no	—
653	C₂²×C₄	—	2	2	no	—
654	C₂²×C₄	—	2	2	no	—
655	C₂²×C₄	—	2	2	no	—
656	C₂²×C₄	—	2	2	no	—
657	C₂²×C₄	—	2	2	no	—
658	C₂²×C₄	—	2	2	no	—
659	C₂²×C₄	—	2	1	no	—
660	C₂²×C₄	—	2	2	no	—
661	C₂²×C₄	—	2	2	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	2	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	2	no	—
673	C₂²×C₄	—	2	1	no	—
674	C₂²×C₄	—	2	1	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	—	2	2	no	—
680	C₂²×C₄	—	2	2	no	—
681	C₂²×C₄	—	2	2	no	—
682	C₂²×C₄	—	2	2	no	—
683	C₂²×C₄	—	2	2	no	—
684	C₂²×C₄	—	2	2	no	—
685	C₂²×C₄	—	4	8	no	—
686	C₂²×C₄	—	4	8	no	—
687	C₂²×C₄	—	4	8	no	—
688	C₂²×C₄	—	4	8	no	—
689	C₂²×C₄	—	4	4	no	—
690	C₂²×C₄	—	4	4	no	—
691	C₂²×C₄	—	4	4	no	—
692	C₂²×C₄	—	4	4	no	—
693	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
694	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
695	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
696	C₄⋊C₄	—	4	8	no	—
697	C₂²⋊C₄	—	2	16	no	—
698	C₂²⋊C₄	—	2	16	no	—
699	C₂²⋊C₄	—	2	8	no	—
700	C₂²⋊C₄	—	4	8	no	—
701	C₂²⋊C₄	—	4	8	no	—
702	C₂²⋊C₄	—	4	4	no	—
703	C₂²⋊C₄	—	4	4	no	—
704	C₂²⋊C₄	—	4	4	no	—
705	C₂²⋊C₄	—	4	4	no	—
706	C₂²⋊C₄	—	4	4	no	—
707	C₂²⋊C₄	—	4	4	no	—
708	C₂²⋊C₄	—	4	4	no	—
709	C₂³	—	2	2	no	—
710	C₂³	—	2	2	no	—
711	C₂³	—	2	4	no	—
712	C₂³	—	2	4	no	—
713	C₂³	—	2	2	no	—
714	C₂³	—	2	2	no	—
715	C₂³	—	2	4	no	—
716	C₂³	—	2	4	no	—
717	C₂³	—	2	4	no	—
718	C₂³	—	2	4	no	—
719	C₂³	—	2	4	no	—
720	C₂³	—	2	4	no	—
721	C₂³	—	2	4	no	—
722	C₂³	—	2	4	no	—
723	C₂³	—	2	4	no	—
724	C₂³	—	2	4	no	—
725	C₂³	—	2	32	no	—
726	C₂³	—	2	2	no	—
727	C₂³	—	2	2	no	—
728	C₂³	—	2	2	no	—
729	C₂³	—	2	2	no	—
730	C₂³	—	2	2	no	—
731	C₂³	—	2	2	no	—
732	C₂³	—	2	2	no	—
733	C₂³	—	2	2	no	—
734	C₂³	—	2	4	no	—
735	C₂³	—	2	4	no	—
736	C₂³	—	2	4	no	—
737	C₂³	—	2	4	no	—
738	C₂³	—	2	2	no	—
739	C₂³	—	2	2	no	—
740	C₂³	—	2	2	no	—
741	C₂³	—	2	2	no	—
742	C₂³	—	2	4	no	—
743	C₂³	—	2	4	no	—
744	C₂³	—	2	4	no	—
745	C₂³	—	2	4	no	—
746	C₂³	—	2	4	no	—
747	C₂³	—	2	4	no	—
748	C₂³	—	2	4	no	—
749	C₂³	—	2	4	no	—
750	C₂³	—	4	16	no	—
751	C₂³	—	4	16	no	—
752	C₂³	—	4	16	no	—
753	C₂³	—	4	16	no	—
754	C₂³	—	4	32	no	—
755	C₂³	—	4	32	no	—
756	C₂³	—	4	32	no	—
757	C₂³	—	4	32	no	—
758	C₂³	—	4	16	no	—
759	C₂³	—	4	16	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	2	no	—
769	C₂³	—	4	2	no	—
770	C₂³	—	4	2	no	—
771	C₂³	—	4	2	no	—
772	C₂³	—	4	2	no	—
773	C₂³	—	4	2	no	—
774	C₂³	—	4	2	no	—
775	C₂³	—	4	2	no	—
776	C₂³	—	4	2	no	—
777	C₂³	—	4	2	no	—
778	C₂³	—	4	2	no	—
779	C₂³	—	4	2	no	—
780	C₂³	C₁₉×#120	1	4	yes	—
781	C₂³	C₁₉×#121	1	4	yes	—
782	C₂³	C₁₉×#123	1	4	yes	—
783	C₂³	C₁₉×#123	1	4	yes	—
784	C₂³	C₁₉×#123	1	4	yes	—
785	C₂³	C₁₉×#123	1	4	yes	—
786	C₂³	C₁₉×#124	1	4	yes	—
787	C₂³	C₁₉×#126	1	4	yes	—
788	C₂³	C₁₉×#126	1	4	yes	—
789	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
790	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
791	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
792	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
793	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
794	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
795	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
796	C₂³	C₂×#41×C₁₉	1	2	yes	—
797	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
798	C₂³	C₁₉×H(5,𝔽₂)	1	2	yes	—
799	C₂³	C₁₉×H(5,𝔽₂)	1	2	yes	—
800	C₂×C₄	—	2	4	no	—
801	C₂×C₄	—	2	4	no	—
802	C₂×C₄	—	2	4	no	—
803	C₂×C₄	—	2	4	no	—
804	C₂×C₄	—	2	4	no	—
805	C₂×C₄	—	2	4	no	—
806	C₂×C₄	—	2	4	no	—
807	C₂×C₄	—	2	4	no	—
808	C₂×C₄	—	2	4	no	—
809	C₂×C₄	—	4	16	no	—
810	C₂×C₄	—	4	16	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	—	4	2	no	—
816	C₂×C₄	—	4	2	no	—
817	C₂×C₄	—	4	2	no	—
818	C₂×C₄	—	4	2	no	—
819	C₂×C₄	—	4	2	no	—
820	C₂×C₄	—	4	2	no	—
821	C₂×C₄	—	4	2	no	—
822	C₂×C₄	—	4	2	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	2	no	—
832	C₂×C₄	—	4	2	no	—
833	C₂×C₄	—	4	2	no	—
834	C₂×C₄	—	4	2	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	2	no	—
840	C₂×C₄	—	4	2	no	—
841	C₂×C₄	—	4	2	no	—
842	C₂×C₄	—	4	2	no	—
843	C₂×C₄	—	4	2	no	—
844	C₂×C₄	—	4	2	no	—
845	C₂×C₄	—	4	2	no	—
846	C₂×C₄	—	4	2	no	—
847	C₂×C₄	—	4	2	no	—
848	C₂×C₄	—	4	2	no	—
849	C₂×C₄	—	4	2	no	—
850	C₂²	—	2	4	no	—
851	C₂²	—	2	4	no	—
852	C₂²	—	2	4	no	—
853	C₂²	—	2	8	no	—
854	C₂²	—	2	8	no	—
855	C₂²	—	2	8	no	—
856	C₂²	—	2	8	no	—
857	C₂²	—	2	4	no	—
858	C₂²	—	2	4	no	—
859	C₂²	—	2	4	no	—
860	C₂²	—	2	4	no	—
861	C₂²	—	2	4	no	—
862	C₂²	—	2	4	no	—
863	C₂²	—	2	4	no	—
864	C₂²	—	2	4	no	—
865	C₂²	—	2	4	no	—
866	C₂²	—	4	64	no	—
867	C₂²	—	4	2	no	—
868	C₂²	—	4	2	no	—
869	C₂²	—	4	2	no	—
870	C₂²	—	4	4	no	—
871	C₂²	—	4	4	no	—
872	C₂²	—	4	4	no	—
873	C₂²	—	4	4	no	—
874	C₂²	—	4	4	no	—
875	C₂²	—	4	4	no	—
876	C₂²	—	4	4	no	—
877	C₂²	—	4	4	no	—
878	C₂²	—	4	2	no	—
879	C₂²	—	4	2	no	—
880	C₂²	—	4	2	no	—
881	C₂²	—	4	2	no	—
882	C₂²	—	4	2	no	—
883	C₂²	C₁₉×#397	1	8	yes	complemented
884	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
885	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
886	C₂²	C₂×C₁₉×#123	1	1	yes	characteristic
887	C₂²	C₂×C₁₉×#123	1	1	yes	characteristic
888	C₂²	C₂×C₁₉×#123	1	1	yes	characteristic
889	C₂²	C₂×C₁₉×#123	1	1	yes	characteristic
890	C₂²	C₁₉×#525	1	2	yes	—
891	C₂²	C₁₉×#525	1	2	yes	—
892	C₂²	C₂×C₁₉×#124	1	1	yes	characteristic
893	C₂²	C₂×C₁₉×#126	1	1	yes	characteristic
894	C₂²	C₂×C₁₉×#126	1	1	yes	characteristic
895	C₂²	C₁₉×#534	1	1	yes	characteristic
896	C₂²	C₁₉×#534	1	1	yes	characteristic
897	C₂²	C₁₉×#538	1	2	yes	—
898	C₂²	C₁₉×#538	1	2	yes	—
899	C₂²	D₄²×C₁₉	1	2	yes	—
900	C₂²	C₁₉×#546	1	2	yes	—
901	C₂²	C₁₉×#546	1	2	yes	—
902	C₂²	C₁₉×#546	1	2	yes	—
903	C₂²	C₁₉×#546	1	2	yes	—
904	C₂²	C₁₉×#551	1	2	yes	—
905	C₂²	C₁₉×#551	1	2	yes	—
906	C₂²	C₁₉×#551	1	2	yes	—
907	C₄	—	4	4	no	—
908	C₄	—	4	4	no	—
909	C₄	—	4	4	no	—
910	C₄	—	8	1	no	—
911	C₄	—	8	1	no	—
912	C₄	—	8	2	no	—
913	C₄	—	8	1	no	—
914	C₄	—	8	1	no	—
915	C₂	—	2	8	no	—
916	C₂	—	4	4	no	—
917	C₂	—	4	4	no	—
918	C₂	C₂×C₁₉×#397	1	1	yes	characteristic
919	C₂	C₁₉×#2405	1	1	yes	characteristic
920	C₂	C₁₉×#2410	1	1	yes	characteristic
921	C₂	C₁₉×#2412	1	1	yes	characteristic
922	C₂	C₁₉×#2418	1	2	yes	—
923	C₂	C₁₉×#2472	1	2	yes	—
924	C₂	C₁₉×#2480	1	2	yes	—
925	C₂	C₁₉×#2480	1	2	yes	—
926	C₂	C₁₉×#2483	1	1	yes	characteristic
927	C₂	C₁₉×#2622	1	1	yes	characteristic
928	C₂	C₁₉×#2849	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂⁴
commutator, Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂⁶×C₁₉	C₂²
LCS	G ▷ C₂⁴ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#397	C₂	semidirect
3. C₂×C₁₉×#385	C₂	semidirect
6. C₁₉×#1440	C₂	semidirect
7. C₁₉×#1440	C₂	semidirect
8. C₁₉×#1439	C₂	semidirect
9. C₁₉×C₂²⋊#95	C₂	semidirect
10. C₁₉×C₂²⋊#95	C₂	semidirect
11. C₁₉×C₂²⋊#95	C₂	semidirect
15. C₂²×C₄⋊C₄×C₁₉	C₂²	semidirect
34. C₂×C₁₉×#95	C₂²	semidirect
35. C₂×C₁₉×#95	C₂²	semidirect
36. C₂×C₁₉×#95	C₂²	semidirect
37. C₂×C₁₉×#95	C₂²	semidirect
38. C₂×C₁₉×#95	C₂²	semidirect
39. C₂×C₁₉×#95	C₂²	semidirect
40. C₂×C₁₉×#95	C₂²	semidirect
244. #14727	C₁₉	direct (N × H)
387. C₂×#397	C₂×C₁₉	semidirect
388. C₂×#385	C₂×C₁₉	semidirect
391. #1440	C₂×C₁₉	semidirect
392. #1440	C₂×C₁₉	semidirect
393. #1439	C₂×C₁₉	semidirect
394. C₂²⋊#95	C₂×C₁₉	semidirect
395. C₂²⋊#95	C₂×C₁₉	semidirect
396. C₂²⋊#95	C₂×C₁₉	semidirect
430. C₂²×C₁₉	#397	semidirect
465. C₂²×C₄⋊C₄	C₂²×C₁₉	semidirect
484. C₂×#95	C₂²×C₁₉	semidirect
485. C₂×#95	C₂²×C₁₉	semidirect
486. C₂×#95	C₂²×C₁₉	semidirect
487. C₂×#95	C₂²×C₁₉	semidirect
488. C₂×#95	C₂²×C₁₉	semidirect
489. C₂×#95	C₂²×C₁₉	semidirect
490. C₂×#95	C₂²×C₁₉	semidirect
580. C₁₉	#14727	direct (N × H)
883. C₂²	C₁₉×#397	semidirect

Maximal subgroups

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

subgroup	index
C₂³×C₂²⋊C₄×C₁₉	2
C₂×C₁₉×#397	2
C₂×C₁₉×#385	2
C₂×C₁₉×#379	2
C₁₉×#1440	2
C₁₉×#1439	2
C₁₉×C₂²⋊#95	2
#14727	19

Subgroups — C19×#14727 #18020686

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14727 #18020686