Subgroups — C₁₉×#14071 #18020030

Order 4864.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×#117	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#390	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#386	C₂	1	1	yes	maximal, characteristic
6	C₁₉×#1444	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1438	C₂	1	1	yes	maximal, characteristic
10	C₁₉×#1437	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1437	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1436	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×C₂²⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₁₉×#95	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#117	—	2	4	no	—
19	C₂×C₁₉×#117	—	2	4	no	—
20	C₂×C₁₉×#117	—	2	4	no	—
21	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
22	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
24	C₂²×C₄⋊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×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
31	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
32	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
36	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
37	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
38	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
40	C₁₉×#390	—	2	4	no	—
41	C₁₉×#388	—	2	4	no	—
42	C₁₉×#388	—	2	4	no	—
43	C₁₉×#386	C₄	1	8	yes	complemented
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	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
55	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
56	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
57	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
58	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
59	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
60	C₂²×D₄×C₁₉	—	2	2	no	—
61	C₂²×D₄×C₁₉	—	2	2	no	—
62	C₂²×D₄×C₁₉	—	2	2	no	—
63	C₂²×D₄×C₁₉	—	2	2	no	—
64	C₂²×D₄×C₁₉	—	4	1	no	—
65	C₂²×D₄×C₁₉	—	4	1	no	—
66	C₂²×D₄×C₁₉	C₂×C₄	1	4	yes	—
67	C₂³×C₄×C₁₉	—	2	2	no	—
68	C₂³×C₄×C₁₉	—	2	2	no	—
69	C₂³×C₄×C₁₉	—	2	2	no	—
70	C₂³×C₄×C₁₉	—	2	2	no	—
71	C₂³×C₄×C₁₉	—	2	2	no	—
72	C₂³×C₄×C₁₉	—	2	2	no	—
73	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
74	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
76	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
77	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
80	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
81	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
82	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
87	C₁₉×#117	—	2	32	no	—
88	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
89	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
90	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
91	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
92	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
93	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
94	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
95	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
96	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
97	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
98	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
99	C₂×C₄⋊C₄×C₁₉	D₄	1	4	yes	complemented
100	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
101	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
102	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
103	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
104	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
105	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
106	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
107	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
108	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
109	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
110	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
111	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
112	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
113	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
114	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
115	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
116	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
117	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
118	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
119	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
120	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
121	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
122	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
123	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
124	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
125	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
126	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
127	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
128	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
129	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
130	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
131	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
132	C₂×C₂²⋊C₄×C₁₉	D₄	1	4	yes	—
133	C₂×C₄²×C₁₉	—	2	2	no	—
134	C₂×C₄²×C₁₉	—	2	2	no	—
135	C₂×C₄²×C₁₉	—	2	2	no	—
136	C₂×C₄²×C₁₉	—	2	2	no	—
137	C₂×C₄²×C₁₉	—	2	2	no	—
138	C₂×C₄²×C₁₉	—	2	2	no	—
139	C₂×C₄²×C₁₉	—	2	2	no	—
140	C₂×C₄²×C₁₉	—	2	2	no	—
141	C₂×C₄²×C₁₉	—	2	2	no	—
142	C₂×C₄²×C₁₉	—	4	1	no	—
143	C₂×C₄²×C₁₉	—	4	1	no	—
144	C₂×C₄²×C₁₉	D₄	1	4	yes	complemented
145	C₁₉×#95	—	2	2	no	—
146	C₁₉×#95	—	2	2	no	—
147	C₁₉×#95	—	2	2	no	—
148	C₁₉×#95	—	2	2	no	—
149	C₁₉×#95	—	2	2	no	—
150	C₁₉×#95	—	2	2	no	—
151	C₁₉×#95	—	2	2	no	—
152	C₁₉×#95	—	2	2	no	—
153	C₁₉×#95	—	2	2	no	—
154	C₁₉×#95	—	4	1	no	—
155	C₁₉×#95	—	4	1	no	—
156	C₁₉×#95	—	4	1	no	—
157	C₁₉×#95	C₂×C₄	1	4	yes	—
158	C₁₉×#95	C₂×C₄	1	4	yes	—
159	C₂⁴×C₁₉	—	2	1	no	—
160	C₂⁴×C₁₉	—	2	1	no	—
161	C₂⁴×C₁₉	—	2	1	no	—
162	C₂⁴×C₁₉	—	2	1	no	—
163	C₂⁴×C₁₉	—	2	1	no	—
164	C₂⁴×C₁₉	—	2	1	no	—
165	C₂⁴×C₁₉	—	2	1	no	—
166	C₂⁴×C₁₉	—	2	1	no	—
167	C₂⁴×C₁₉	—	2	1	no	—
168	C₂⁴×C₁₉	—	2	1	no	—
169	C₂⁴×C₁₉	—	2	1	no	—
170	C₂⁴×C₁₉	—	2	1	no	—
171	C₂⁴×C₁₉	—	2	1	no	—
172	C₂⁴×C₁₉	—	2	1	no	—
173	C₂⁴×C₁₉	—	2	1	no	—
174	C₂⁴×C₁₉	—	2	1	no	—
175	C₂⁴×C₁₉	—	2	1	no	—
176	C₂⁴×C₁₉	—	2	1	no	—
177	C₂⁴×C₁₉	—	2	1	no	—
178	C₂⁴×C₁₉	—	2	1	no	—
179	C₂⁴×C₁₉	—	2	1	no	—
180	C₂⁴×C₁₉	—	2	1	no	—
181	C₂⁴×C₁₉	—	2	1	no	—
182	C₂⁴×C₁₉	—	2	1	no	—
183	C₂⁴×C₁₉	—	2	1	no	—
184	C₂⁴×C₁₉	—	2	1	no	—
185	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
186	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
187	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
188	C₂⁴×C₁₉	#41	1	2	yes	—
189	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
190	C₂×D₄×C₁₉	—	2	8	no	—
191	C₂×D₄×C₁₉	—	2	8	no	—
192	C₂×D₄×C₁₉	—	4	4	no	—
193	C₂×D₄×C₁₉	—	4	4	no	—
194	C₂×D₄×C₁₉	—	4	4	no	—
195	C₂×D₄×C₁₉	—	4	4	no	—
196	C₂×D₄×C₁₉	—	4	4	no	—
197	C₂²×C₄×C₁₉	—	2	8	no	—
198	C₂²×C₄×C₁₉	—	2	8	no	—
199	C₂²×C₄×C₁₉	—	2	8	no	—
200	C₂²×C₄×C₁₉	—	2	8	no	—
201	C₂²×C₄×C₁₉	—	2	8	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	8	no	—
219	C₂²×C₄×C₁₉	—	2	8	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	—	2	1	no	—
239	C₂²×C₄×C₁₉	—	2	1	no	—
240	C₂²×C₄×C₁₉	—	2	1	no	—
241	C₂²×C₄×C₁₉	—	2	1	no	—
242	C₂²×C₄×C₁₉	—	2	1	no	—
243	C₂²×C₄×C₁₉	—	2	1	no	—
244	C₂²×C₄×C₁₉	—	2	1	no	—
245	C₂²×C₄×C₁₉	—	2	1	no	—
246	C₂²×C₄×C₁₉	—	2	1	no	—
247	C₂²×C₄×C₁₉	—	2	1	no	—
248	C₂²×C₄×C₁₉	—	2	1	no	—
249	C₂²×C₄×C₁₉	—	2	1	no	—
250	C₂²×C₄×C₁₉	—	2	1	no	—
251	C₂²×C₄×C₁₉	—	2	1	no	—
252	C₂²×C₄×C₁₉	—	2	1	no	—
253	C₂²×C₄×C₁₉	—	2	1	no	—
254	C₂²×C₄×C₁₉	—	2	1	no	—
255	C₂²×C₄×C₁₉	—	2	1	no	—
256	C₂²×C₄×C₁₉	—	2	1	no	—
257	C₂²×C₄×C₁₉	—	2	1	no	—
258	C₂²×C₄×C₁₉	—	2	1	no	—
259	C₂²×C₄×C₁₉	—	2	1	no	—
260	C₂²×C₄×C₁₉	—	2	1	no	—
261	C₂²×C₄×C₁₉	—	2	1	no	—
262	C₂²×C₄×C₁₉	—	2	1	no	—
263	C₂²×C₄×C₁₉	—	2	1	no	—
264	C₂²×C₄×C₁₉	—	2	1	no	—
265	C₂²×C₄×C₁₉	—	2	1	no	—
266	C₂²×C₄×C₁₉	—	2	1	no	—
267	C₂²×C₄×C₁₉	—	2	1	no	—
268	C₂²×C₄×C₁₉	—	2	1	no	—
269	C₂²×C₄×C₁₉	—	2	1	no	—
270	C₂²×C₄×C₁₉	—	2	1	no	—
271	C₂²×C₄×C₁₉	—	2	1	no	—
272	C₂²×C₄×C₁₉	—	2	1	no	—
273	C₂²×C₄×C₁₉	—	2	1	no	—
274	C₂²×C₄×C₁₉	—	2	1	no	—
275	C₂²×C₄×C₁₉	—	2	1	no	—
276	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
277	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
278	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
279	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
280	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
281	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
282	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
283	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
284	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
285	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
286	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
287	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
288	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
289	C₂²×C₄×C₁₉	#41	1	2	yes	—
290	C₂²×C₄×C₁₉	#41	1	2	yes	—
291	C₂²×C₄×C₁₉	#41	1	2	yes	—
292	C₂²×C₄×C₁₉	#41	1	2	yes	—
293	C₂²×C₄×C₁₉	#41	1	2	yes	—
294	C₂²×C₄×C₁₉	#41	1	2	yes	—
295	C₄⋊C₄×C₁₉	—	2	8	no	—
296	C₄⋊C₄×C₁₉	—	2	8	no	—
297	C₄⋊C₄×C₁₉	—	4	4	no	—
298	C₄⋊C₄×C₁₉	—	4	4	no	—
299	C₂²⋊C₄×C₁₉	—	2	8	no	—
300	C₂²⋊C₄×C₁₉	—	2	8	no	—
301	C₂²⋊C₄×C₁₉	—	2	8	no	—
302	C₂²⋊C₄×C₁₉	—	2	8	no	—
303	C₂²⋊C₄×C₁₉	—	4	4	no	—
304	C₂²⋊C₄×C₁₉	—	4	4	no	—
305	C₂²⋊C₄×C₁₉	—	4	4	no	—
306	C₂²⋊C₄×C₁₉	—	4	4	no	—
307	C₂²⋊C₄×C₁₉	—	4	4	no	—
308	C₂²⋊C₄×C₁₉	—	4	4	no	—
309	C₂²⋊C₄×C₁₉	—	4	4	no	—
310	C₄²×C₁₉	—	2	8	no	—
311	C₄²×C₁₉	—	2	8	no	—
312	C₄²×C₁₉	—	4	4	no	—
313	C₄²×C₁₉	—	4	4	no	—
314	#14071	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂³×C₁₉	—	2	2	no	—
316	C₂³×C₁₉	—	2	2	no	—
317	C₂³×C₁₉	—	2	2	no	—
318	C₂³×C₁₉	—	2	2	no	—
319	C₂³×C₁₉	—	2	2	no	—
320	C₂³×C₁₉	—	2	2	no	—
321	C₂³×C₁₉	—	2	2	no	—
322	C₂³×C₁₉	—	2	2	no	—
323	C₂³×C₁₉	—	2	2	no	—
324	C₂³×C₁₉	—	2	2	no	—
325	C₂³×C₁₉	—	2	2	no	—
326	C₂³×C₁₉	—	2	2	no	—
327	C₂³×C₁₉	—	2	2	no	—
328	C₂³×C₁₉	—	2	2	no	—
329	C₂³×C₁₉	—	2	2	no	—
330	C₂³×C₁₉	—	2	2	no	—
331	C₂³×C₁₉	—	2	2	no	—
332	C₂³×C₁₉	—	2	2	no	—
333	C₂³×C₁₉	—	2	2	no	—
334	C₂³×C₁₉	—	2	2	no	—
335	C₂³×C₁₉	—	2	2	no	—
336	C₂³×C₁₉	—	2	2	no	—
337	C₂³×C₁₉	—	2	2	no	—
338	C₂³×C₁₉	—	2	2	no	—
339	C₂³×C₁₉	—	2	2	no	—
340	C₂³×C₁₉	—	4	1	no	—
341	C₂³×C₁₉	—	4	1	no	—
342	C₂³×C₁₉	—	4	1	no	—
343	C₂³×C₁₉	—	4	1	no	—
344	C₂³×C₁₉	—	4	1	no	—
345	C₂³×C₁₉	—	4	1	no	—
346	C₂³×C₁₉	—	4	1	no	—
347	C₂³×C₁₉	—	4	1	no	—
348	C₂³×C₁₉	—	4	1	no	—
349	C₂³×C₁₉	—	4	1	no	—
350	C₂³×C₁₉	—	4	1	no	—
351	C₂³×C₁₉	—	4	1	no	—
352	C₂³×C₁₉	—	4	1	no	—
353	C₂³×C₁₉	—	4	1	no	—
354	C₂³×C₁₉	—	4	1	no	—
355	C₂³×C₁₉	—	4	1	no	—
356	C₂³×C₁₉	—	4	1	no	—
357	C₂³×C₁₉	—	4	1	no	—
358	C₂³×C₁₉	—	4	1	no	—
359	C₂³×C₁₉	—	4	1	no	—
360	C₂³×C₁₉	—	4	1	no	—
361	C₂³×C₁₉	—	4	1	no	—
362	C₂³×C₁₉	—	4	1	no	—
363	C₂³×C₁₉	—	4	1	no	—
364	C₂³×C₁₉	—	4	1	no	—
365	C₂³×C₁₉	—	4	1	no	—
366	C₂³×C₁₉	—	4	1	no	—
367	C₂³×C₁₉	—	4	1	no	—
368	C₂³×C₁₉	—	4	1	no	—
369	C₂³×C₁₉	—	4	1	no	—
370	C₂³×C₁₉	—	4	1	no	—
371	C₂³×C₁₉	—	4	1	no	—
372	C₂³×C₁₉	—	4	1	no	—
373	C₂³×C₁₉	—	4	1	no	—
374	C₂³×C₁₉	—	4	1	no	—
375	C₂³×C₁₉	—	4	1	no	—
376	C₂³×C₁₉	—	4	1	no	—
377	C₂³×C₁₉	—	4	1	no	—
378	C₂³×C₁₉	—	4	1	no	—
379	C₂³×C₁₉	—	4	1	no	—
380	C₂³×C₁₉	—	4	1	no	—
381	C₂³×C₁₉	—	4	1	no	—
382	C₂³×C₁₉	—	4	1	no	—
383	C₂³×C₁₉	—	4	1	no	—
384	C₂³×C₁₉	C₄×D₄	1	4	yes	—
385	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
386	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
387	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
388	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
389	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
390	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
391	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
392	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
393	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
394	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
395	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
396	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
397	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
398	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
399	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
400	D₄×C₁₉	—	4	16	no	—
401	C₂×C₄×C₁₉	—	2	32	no	—
402	C₂×C₄×C₁₉	—	2	2	no	—
403	C₂×C₄×C₁₉	—	2	2	no	—
404	C₂×C₄×C₁₉	—	2	2	no	—
405	C₂×C₄×C₁₉	—	2	2	no	—
406	C₂×C₄×C₁₉	—	2	2	no	—
407	C₂×C₄×C₁₉	—	2	2	no	—
408	C₂×C₄×C₁₉	—	2	2	no	—
409	C₂×C₄×C₁₉	—	2	2	no	—
410	C₂×C₄×C₁₉	—	2	2	no	—
411	C₂×C₄×C₁₉	—	2	2	no	—
412	C₂×C₄×C₁₉	—	2	2	no	—
413	C₂×C₄×C₁₉	—	2	2	no	—
414	C₂×C₄×C₁₉	—	2	2	no	—
415	C₂×C₄×C₁₉	—	2	2	no	—
416	C₂×C₄×C₁₉	—	2	2	no	—
417	C₂×C₄×C₁₉	—	2	2	no	—
418	C₂×C₄×C₁₉	—	2	2	no	—
419	C₂×C₄×C₁₉	—	2	2	no	—
420	C₂×C₄×C₁₉	—	2	2	no	—
421	C₂×C₄×C₁₉	—	2	2	no	—
422	C₂×C₄×C₁₉	—	2	2	no	—
423	C₂×C₄×C₁₉	—	2	2	no	—
424	C₂×C₄×C₁₉	—	2	2	no	—
425	C₂×C₄×C₁₉	—	2	2	no	—
426	C₂×C₄×C₁₉	—	2	2	no	—
427	C₂×C₄×C₁₉	—	2	2	no	—
428	C₂×C₄×C₁₉	—	2	2	no	—
429	C₂×C₄×C₁₉	—	2	2	no	—
430	C₂×C₄×C₁₉	—	2	2	no	—
431	C₂×C₄×C₁₉	—	2	2	no	—
432	C₂×C₄×C₁₉	—	2	2	no	—
433	C₂×C₄×C₁₉	—	2	2	no	—
434	C₂×C₄×C₁₉	—	2	2	no	—
435	C₂×C₄×C₁₉	—	2	2	no	—
436	C₂×C₄×C₁₉	—	2	2	no	—
437	C₂×C₄×C₁₉	—	2	2	no	—
438	C₂×C₄×C₁₉	—	2	2	no	—
439	C₂×C₄×C₁₉	—	2	2	no	—
440	C₂×C₄×C₁₉	—	2	2	no	—
441	C₂×C₄×C₁₉	—	2	2	no	—
442	C₂×C₄×C₁₉	—	2	2	no	—
443	C₂×C₄×C₁₉	—	2	2	no	—
444	C₂×C₄×C₁₉	—	2	2	no	—
445	C₂×C₄×C₁₉	—	2	2	no	—
446	C₂×C₄×C₁₉	—	2	2	no	—
447	C₂×C₄×C₁₉	—	4	1	no	—
448	C₂×C₄×C₁₉	—	4	1	no	—
449	C₂×C₄×C₁₉	—	4	1	no	—
450	C₂×C₄×C₁₉	—	4	1	no	—
451	C₂×C₄×C₁₉	—	4	1	no	—
452	C₂×C₄×C₁₉	—	4	1	no	—
453	C₂×C₄×C₁₉	—	4	1	no	—
454	C₂×C₄×C₁₉	—	4	1	no	—
455	C₂×C₄×C₁₉	—	4	1	no	—
456	C₂×C₄×C₁₉	—	4	1	no	—
457	C₂×C₄×C₁₉	—	4	1	no	—
458	C₂×C₄×C₁₉	—	4	1	no	—
459	C₂×C₄×C₁₉	—	4	1	no	—
460	C₂×C₄×C₁₉	—	4	1	no	—
461	C₂×C₄×C₁₉	—	4	1	no	—
462	C₂×C₄×C₁₉	—	4	1	no	—
463	C₂×C₄×C₁₉	—	4	1	no	—
464	C₂×C₄×C₁₉	—	4	1	no	—
465	C₂×C₄×C₁₉	—	4	1	no	—
466	C₂×C₄×C₁₉	—	4	1	no	—
467	C₂×C₄×C₁₉	—	4	1	no	—
468	C₂×C₄×C₁₉	—	4	1	no	—
469	C₂×C₄×C₁₉	—	4	1	no	—
470	C₂×C₄×C₁₉	—	4	1	no	—
471	C₂×C₄×C₁₉	—	4	1	no	—
472	C₂×C₄×C₁₉	—	4	1	no	—
473	C₂×C₄×C₁₉	—	4	1	no	—
474	C₂×C₄×C₁₉	—	4	1	no	—
475	C₂×C₄×C₁₉	—	4	1	no	—
476	C₂×C₄×C₁₉	—	4	1	no	—
477	C₂×C₄×C₁₉	—	4	1	no	—
478	C₂×C₄×C₁₉	—	4	1	no	—
479	C₂×C₄×C₁₉	—	4	1	no	—
480	C₂×C₄×C₁₉	—	4	1	no	—
481	C₂×C₄×C₁₉	—	4	1	no	—
482	C₂×C₄×C₁₉	—	4	1	no	—
483	C₂×C₄×C₁₉	—	4	1	no	—
484	C₂×C₄×C₁₉	—	4	1	no	—
485	C₂×C₄×C₁₉	—	4	1	no	—
486	C₂×C₄×C₁₉	—	4	1	no	—
487	C₂×C₄×C₁₉	—	4	1	no	—
488	C₂×C₄×C₁₉	—	4	1	no	—
489	C₂×C₄×C₁₉	#117	1	4	yes	complemented
490	C₂×C₄×C₁₉	C₄×D₄	1	4	yes	—
491	C₂×C₄×C₁₉	C₄×D₄	1	4	yes	—
492	C₂×C₄×C₁₉	#120	1	4	yes	—
493	C₂²×#117	C₂×C₁₉	1	1	yes	characteristic, complemented
494	C₂×#390	C₂×C₁₉	1	1	yes	characteristic
495	C₂×#388	C₂×C₁₉	1	1	yes	characteristic, complemented
496	C₂×#388	C₂×C₁₉	1	1	yes	characteristic, complemented
497	C₂×#386	C₂×C₁₉	1	1	yes	characteristic
498	#1444	C₂×C₁₉	1	1	yes	characteristic, complemented
499	#1439	C₂×C₁₉	1	1	yes	characteristic, complemented
500	#1439	C₂×C₁₉	1	1	yes	characteristic, complemented
501	#1438	C₂×C₁₉	1	1	yes	characteristic
502	#1437	C₂×C₁₉	1	1	yes	characteristic, complemented
503	#1437	C₂×C₁₉	1	1	yes	characteristic, complemented
504	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
505	#1436	C₂×C₁₉	1	1	yes	characteristic, complemented
506	C₂²⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
507	C₄×#95	C₂×C₁₉	1	1	yes	characteristic, complemented
508	C₂²×C₁₉	—	2	4	no	—
509	C₂²×C₁₉	—	2	4	no	—
510	C₂²×C₁₉	—	2	4	no	—
511	C₂²×C₁₉	—	4	2	no	—
512	C₂²×C₁₉	—	4	2	no	—
513	C₂²×C₁₉	—	4	2	no	—
514	C₂²×C₁₉	—	4	2	no	—
515	C₂²×C₁₉	—	4	2	no	—
516	C₂²×C₁₉	—	4	2	no	—
517	C₂²×C₁₉	—	4	2	no	—
518	C₂²×C₁₉	—	4	2	no	—
519	C₂²×C₁₉	—	4	2	no	—
520	C₂²×C₁₉	—	4	2	no	—
521	C₂²×C₁₉	—	4	2	no	—
522	C₂²×C₁₉	—	4	2	no	—
523	C₂²×C₁₉	—	4	2	no	—
524	C₂²×C₁₉	—	4	2	no	—
525	C₂²×C₁₉	—	4	2	no	—
526	C₂²×C₁₉	—	4	2	no	—
527	C₂²×C₁₉	—	4	2	no	—
528	C₂²×C₁₉	—	4	2	no	—
529	C₂²×C₁₉	—	4	2	no	—
530	C₂²×C₁₉	—	8	1	no	—
531	C₂²×C₁₉	—	8	1	no	—
532	C₂²×C₁₉	—	8	1	no	—
533	C₂²×C₁₉	—	8	1	no	—
534	C₂²×C₁₉	—	8	1	no	—
535	C₂²×C₁₉	—	8	1	no	—
536	C₂²×C₁₉	—	8	1	no	—
537	C₂²×C₁₉	—	8	1	no	—
538	C₂²×C₁₉	C₂×#117	1	1	yes	characteristic
539	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
540	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
541	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
542	C₂²×C₁₉	C₄×#41	1	1	yes	characteristic
543	C₂²×C₁₉	#518	1	1	yes	characteristic
544	C₂²×C₁₉	#520	1	1	yes	characteristic
545	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
546	C₂²×C₁₉	#525	1	1	yes	characteristic
547	C₂²×C₁₉	#525	1	1	yes	characteristic
548	C₂²×C₁₉	#525	1	1	yes	characteristic
549	C₂²×C₁₉	#529	1	1	yes	characteristic
550	C₂²×C₁₉	#529	1	1	yes	characteristic
551	C₂²×C₁₉	#532	1	1	yes	characteristic
552	C₂²×C₁₉	#532	1	1	yes	characteristic
553	C₂²×C₁₉	#535	1	1	yes	characteristic
554	C₂²×C₁₉	#537	1	1	yes	characteristic
555	C₂²×C₁₉	#540	1	1	yes	characteristic
556	C₂²×C₁₉	#542	1	1	yes	characteristic
557	C₂²×C₁₉	#546	1	1	yes	characteristic
558	C₂²×C₁₉	#546	1	1	yes	characteristic
559	C₂²×C₁₉	#546	1	1	yes	characteristic
560	C₂²×C₁₉	#546	1	1	yes	characteristic
561	C₂²×C₁₉	#547	1	1	yes	characteristic
562	C₂²×C₁₉	#547	1	1	yes	characteristic
563	C₂²×C₁₉	#550	1	1	yes	characteristic
564	C₂²×C₁₉	#550	1	1	yes	characteristic
565	C₂²×C₁₉	#551	1	1	yes	characteristic
566	C₂²×C₁₉	#551	1	1	yes	characteristic
567	C₂²×C₁₉	#551	1	1	yes	characteristic
568	C₂²×C₁₉	#552	1	1	yes	characteristic
569	C₂²×C₁₉	#553	1	1	yes	characteristic
570	C₂²×C₁₉	#555	1	1	yes	characteristic
571	C₂²×C₁₉	#555	1	1	yes	characteristic
572	C₂²×C₁₉	#556	1	1	yes	characteristic
573	C₄×C₁₉	—	2	4	no	—
574	C₄×C₁₉	—	2	4	no	—
575	C₄×C₁₉	—	2	4	no	—
576	C₄×C₁₉	—	2	4	no	—
577	C₄×C₁₉	—	4	2	no	—
578	C₄×C₁₉	—	4	2	no	—
579	C₄×C₁₉	—	4	2	no	—
580	C₄×C₁₉	—	4	2	no	—
581	C₄×C₁₉	—	4	2	no	—
582	C₄×C₁₉	—	4	2	no	—
583	C₄×C₁₉	—	4	2	no	—
584	C₄×C₁₉	—	8	1	no	—
585	C₄×C₁₉	—	8	1	no	—
586	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
587	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
588	C₂×#117	—	2	4	no	—
589	C₂×#117	—	2	4	no	—
590	C₂×#117	—	2	4	no	—
591	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
592	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
593	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
594	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
595	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
596	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
597	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
598	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
599	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
600	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
601	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
602	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
603	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
604	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
605	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
606	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
607	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
608	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
609	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
610	#390	—	2	4	no	—
611	#388	—	2	4	no	—
612	#388	—	2	4	no	—
613	#386	C₄×C₁₉	1	8	yes	complemented
614	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
615	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
616	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
617	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
618	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
619	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
620	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
621	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
622	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
623	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
624	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
625	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
626	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
627	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
628	C₂×C₁₉	—	4	4	no	—
629	C₂×C₁₉	—	8	2	no	—
630	C₂×C₁₉	#2293	1	1	yes	characteristic
631	C₂×C₁₉	C₄×#120	1	1	yes	characteristic
632	C₂×C₁₉	#2324	1	1	yes	characteristic
633	C₂×C₁₉	#2342	1	1	yes	characteristic
634	C₂×C₁₉	#2354	1	1	yes	characteristic
635	C₂×C₁₉	#2359	1	1	yes	characteristic
636	C₂×C₁₉	#2363	1	1	yes	characteristic
637	C₂×C₁₉	#2430	1	1	yes	characteristic
638	C₂×C₁₉	#2431	1	1	yes	characteristic
639	C₂×C₁₉	#2471	1	1	yes	characteristic
640	C₂×C₁₉	#2474	1	1	yes	characteristic
641	C₂×C₁₉	#2476	1	1	yes	characteristic
642	C₂×C₁₉	#2479	1	1	yes	characteristic
643	C₂×C₁₉	#2601	1	1	yes	characteristic
644	C₂×C₁₉	#2610	1	1	yes	characteristic
645	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
646	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
647	C₂²×D₄	—	2	2	no	—
648	C₂²×D₄	—	2	2	no	—
649	C₂²×D₄	—	2	2	no	—
650	C₂²×D₄	—	2	2	no	—
651	C₂²×D₄	—	4	1	no	—
652	C₂²×D₄	—	4	1	no	—
653	C₂²×D₄	C₂×C₄×C₁₉	1	4	yes	—
654	C₂³×C₄	—	2	2	no	—
655	C₂³×C₄	—	2	2	no	—
656	C₂³×C₄	—	2	2	no	—
657	C₂³×C₄	—	2	2	no	—
658	C₂³×C₄	—	2	2	no	—
659	C₂³×C₄	—	2	2	no	—
660	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
661	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
662	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
663	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
665	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
667	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
668	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
669	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
670	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
671	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
672	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
673	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
674	#117	—	2	32	no	—
675	C₂×C₄⋊C₄	—	2	2	no	—
676	C₂×C₄⋊C₄	—	2	2	no	—
677	C₂×C₄⋊C₄	—	2	2	no	—
678	C₂×C₄⋊C₄	—	2	2	no	—
679	C₂×C₄⋊C₄	—	2	2	no	—
680	C₂×C₄⋊C₄	—	2	2	no	—
681	C₂×C₄⋊C₄	—	2	2	no	—
682	C₂×C₄⋊C₄	—	2	2	no	—
683	C₂×C₄⋊C₄	—	4	1	no	—
684	C₂×C₄⋊C₄	—	4	1	no	—
685	C₂×C₄⋊C₄	—	4	1	no	—
686	C₂×C₄⋊C₄	D₄×C₁₉	1	4	yes	complemented
687	C₂×C₂²⋊C₄	—	2	2	no	—
688	C₂×C₂²⋊C₄	—	2	2	no	—
689	C₂×C₂²⋊C₄	—	2	2	no	—
690	C₂×C₂²⋊C₄	—	2	2	no	—
691	C₂×C₂²⋊C₄	—	2	2	no	—
692	C₂×C₂²⋊C₄	—	2	2	no	—
693	C₂×C₂²⋊C₄	—	2	2	no	—
694	C₂×C₂²⋊C₄	—	2	2	no	—
695	C₂×C₂²⋊C₄	—	2	2	no	—
696	C₂×C₂²⋊C₄	—	2	2	no	—
697	C₂×C₂²⋊C₄	—	2	2	no	—
698	C₂×C₂²⋊C₄	—	2	2	no	—
699	C₂×C₂²⋊C₄	—	2	2	no	—
700	C₂×C₂²⋊C₄	—	2	2	no	—
701	C₂×C₂²⋊C₄	—	2	2	no	—
702	C₂×C₂²⋊C₄	—	2	2	no	—
703	C₂×C₂²⋊C₄	—	2	2	no	—
704	C₂×C₂²⋊C₄	—	2	2	no	—
705	C₂×C₂²⋊C₄	—	2	2	no	—
706	C₂×C₂²⋊C₄	—	2	2	no	—
707	C₂×C₂²⋊C₄	—	2	2	no	—
708	C₂×C₂²⋊C₄	—	4	1	no	—
709	C₂×C₂²⋊C₄	—	4	1	no	—
710	C₂×C₂²⋊C₄	—	4	1	no	—
711	C₂×C₂²⋊C₄	—	4	1	no	—
712	C₂×C₂²⋊C₄	—	4	1	no	—
713	C₂×C₂²⋊C₄	—	4	1	no	—
714	C₂×C₂²⋊C₄	—	4	1	no	—
715	C₂×C₂²⋊C₄	—	4	1	no	—
716	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
717	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
718	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
719	C₂×C₂²⋊C₄	D₄×C₁₉	1	4	yes	—
720	C₂×C₄²	—	2	2	no	—
721	C₂×C₄²	—	2	2	no	—
722	C₂×C₄²	—	2	2	no	—
723	C₂×C₄²	—	2	2	no	—
724	C₂×C₄²	—	2	2	no	—
725	C₂×C₄²	—	2	2	no	—
726	C₂×C₄²	—	2	2	no	—
727	C₂×C₄²	—	2	2	no	—
728	C₂×C₄²	—	2	2	no	—
729	C₂×C₄²	—	4	1	no	—
730	C₂×C₄²	—	4	1	no	—
731	C₂×C₄²	D₄×C₁₉	1	4	yes	complemented
732	#95	—	2	2	no	—
733	#95	—	2	2	no	—
734	#95	—	2	2	no	—
735	#95	—	2	2	no	—
736	#95	—	2	2	no	—
737	#95	—	2	2	no	—
738	#95	—	2	2	no	—
739	#95	—	2	2	no	—
740	#95	—	2	2	no	—
741	#95	—	4	1	no	—
742	#95	—	4	1	no	—
743	#95	—	4	1	no	—
744	#95	C₂×C₄×C₁₉	1	4	yes	—
745	#95	C₂×C₄×C₁₉	1	4	yes	—
746	C₁₉	#14071	1	1	yes	characteristic, direct product factor, Sylow
747	C₂⁴	—	2	1	no	—
748	C₂⁴	—	2	1	no	—
749	C₂⁴	—	2	1	no	—
750	C₂⁴	—	2	1	no	—
751	C₂⁴	—	2	1	no	—
752	C₂⁴	—	2	1	no	—
753	C₂⁴	—	2	1	no	—
754	C₂⁴	—	2	1	no	—
755	C₂⁴	—	2	1	no	—
756	C₂⁴	—	2	1	no	—
757	C₂⁴	—	2	1	no	—
758	C₂⁴	—	2	1	no	—
759	C₂⁴	—	2	1	no	—
760	C₂⁴	—	2	1	no	—
761	C₂⁴	—	2	1	no	—
762	C₂⁴	—	2	1	no	—
763	C₂⁴	—	2	1	no	—
764	C₂⁴	—	2	1	no	—
765	C₂⁴	—	2	1	no	—
766	C₂⁴	—	2	1	no	—
767	C₂⁴	—	2	1	no	—
768	C₂⁴	—	2	1	no	—
769	C₂⁴	—	2	1	no	—
770	C₂⁴	—	2	1	no	—
771	C₂⁴	—	2	1	no	—
772	C₂⁴	—	2	1	no	—
773	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
774	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
775	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
776	C₂⁴	#41×C₁₉	1	2	yes	—
777	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
778	C₂×D₄	—	2	8	no	—
779	C₂×D₄	—	2	8	no	—
780	C₂×D₄	—	4	4	no	—
781	C₂×D₄	—	4	4	no	—
782	C₂×D₄	—	4	4	no	—
783	C₂×D₄	—	4	4	no	—
784	C₂×D₄	—	4	4	no	—
785	C₂²×C₄	—	2	8	no	—
786	C₂²×C₄	—	2	8	no	—
787	C₂²×C₄	—	2	8	no	—
788	C₂²×C₄	—	2	8	no	—
789	C₂²×C₄	—	2	8	no	—
790	C₂²×C₄	—	2	1	no	—
791	C₂²×C₄	—	2	1	no	—
792	C₂²×C₄	—	2	1	no	—
793	C₂²×C₄	—	2	1	no	—
794	C₂²×C₄	—	2	1	no	—
795	C₂²×C₄	—	2	1	no	—
796	C₂²×C₄	—	2	1	no	—
797	C₂²×C₄	—	2	1	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	1	no	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	1	no	—
806	C₂²×C₄	—	2	8	no	—
807	C₂²×C₄	—	2	8	no	—
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	1	no	—
810	C₂²×C₄	—	2	1	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	1	no	—
814	C₂²×C₄	—	2	1	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	1	no	—
817	C₂²×C₄	—	2	1	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	1	no	—
820	C₂²×C₄	—	2	1	no	—
821	C₂²×C₄	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	no	—
825	C₂²×C₄	—	2	1	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	1	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	1	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
865	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
866	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
867	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
868	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
869	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
870	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
871	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
872	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
873	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
874	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
875	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
876	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
877	C₂²×C₄	#41×C₁₉	1	2	yes	—
878	C₂²×C₄	#41×C₁₉	1	2	yes	—
879	C₂²×C₄	#41×C₁₉	1	2	yes	—
880	C₂²×C₄	#41×C₁₉	1	2	yes	—
881	C₂²×C₄	#41×C₁₉	1	2	yes	—
882	C₂²×C₄	#41×C₁₉	1	2	yes	—
883	C₄⋊C₄	—	2	8	no	—
884	C₄⋊C₄	—	2	8	no	—
885	C₄⋊C₄	—	4	4	no	—
886	C₄⋊C₄	—	4	4	no	—
887	C₂²⋊C₄	—	2	8	no	—
888	C₂²⋊C₄	—	2	8	no	—
889	C₂²⋊C₄	—	2	8	no	—
890	C₂²⋊C₄	—	2	8	no	—
891	C₂²⋊C₄	—	4	4	no	—
892	C₂²⋊C₄	—	4	4	no	—
893	C₂²⋊C₄	—	4	4	no	—
894	C₂²⋊C₄	—	4	4	no	—
895	C₂²⋊C₄	—	4	4	no	—
896	C₂²⋊C₄	—	4	4	no	—
897	C₂²⋊C₄	—	4	4	no	—
898	C₄²	—	2	8	no	—
899	C₄²	—	2	8	no	—
900	C₄²	—	4	4	no	—
901	C₄²	—	4	4	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	4	1	no	—
928	C₂³	—	4	1	no	—
929	C₂³	—	4	1	no	—
930	C₂³	—	4	1	no	—
931	C₂³	—	4	1	no	—
932	C₂³	—	4	1	no	—
933	C₂³	—	4	1	no	—
934	C₂³	—	4	1	no	—
935	C₂³	—	4	1	no	—
936	C₂³	—	4	1	no	—
937	C₂³	—	4	1	no	—
938	C₂³	—	4	1	no	—
939	C₂³	—	4	1	no	—
940	C₂³	—	4	1	no	—
941	C₂³	—	4	1	no	—
942	C₂³	—	4	1	no	—
943	C₂³	—	4	1	no	—
944	C₂³	—	4	1	no	—
945	C₂³	—	4	1	no	—
946	C₂³	—	4	1	no	—
947	C₂³	—	4	1	no	—
948	C₂³	—	4	1	no	—
949	C₂³	—	4	1	no	—
950	C₂³	—	4	1	no	—
951	C₂³	—	4	1	no	—
952	C₂³	—	4	1	no	—
953	C₂³	—	4	1	no	—
954	C₂³	—	4	1	no	—
955	C₂³	—	4	1	no	—
956	C₂³	—	4	1	no	—
957	C₂³	—	4	1	no	—
958	C₂³	—	4	1	no	—
959	C₂³	—	4	1	no	—
960	C₂³	—	4	1	no	—
961	C₂³	—	4	1	no	—
962	C₂³	—	4	1	no	—
963	C₂³	—	4	1	no	—
964	C₂³	—	4	1	no	—
965	C₂³	—	4	1	no	—
966	C₂³	—	4	1	no	—
967	C₂³	—	4	1	no	—
968	C₂³	—	4	1	no	—
969	C₂³	—	4	1	no	—
970	C₂³	—	4	1	no	—
971	C₂³	C₄×D₄×C₁₉	1	4	yes	—
972	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
973	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
974	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
975	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
976	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
977	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
978	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
979	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
980	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
981	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
982	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
983	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
984	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
985	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
986	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
987	D₄	—	4	16	no	—
988	C₂×C₄	—	2	32	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	1	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	1	no	—
1038	C₂×C₄	—	4	1	no	—
1039	C₂×C₄	—	4	1	no	—
1040	C₂×C₄	—	4	1	no	—
1041	C₂×C₄	—	4	1	no	—
1042	C₂×C₄	—	4	1	no	—
1043	C₂×C₄	—	4	1	no	—
1044	C₂×C₄	—	4	1	no	—
1045	C₂×C₄	—	4	1	no	—
1046	C₂×C₄	—	4	1	no	—
1047	C₂×C₄	—	4	1	no	—
1048	C₂×C₄	—	4	1	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	1	no	—
1052	C₂×C₄	—	4	1	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	1	no	—
1055	C₂×C₄	—	4	1	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	1	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	1	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	1	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	1	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	C₁₉×#117	1	4	yes	complemented
1077	C₂×C₄	C₄×D₄×C₁₉	1	4	yes	—
1078	C₂×C₄	C₄×D₄×C₁₉	1	4	yes	—
1079	C₂×C₄	C₁₉×#120	1	4	yes	—
1080	C₂²	—	2	4	no	—
1081	C₂²	—	2	4	no	—
1082	C₂²	—	2	4	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	8	1	no	—
1103	C₂²	—	8	1	no	—
1104	C₂²	—	8	1	no	—
1105	C₂²	—	8	1	no	—
1106	C₂²	—	8	1	no	—
1107	C₂²	—	8	1	no	—
1108	C₂²	—	8	1	no	—
1109	C₂²	—	8	1	no	—
1110	C₂²	C₂×C₁₉×#117	1	1	yes	characteristic
1111	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
1112	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
1113	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
1114	C₂²	C₄×#41×C₁₉	1	1	yes	characteristic
1115	C₂²	C₁₉×#518	1	1	yes	characteristic
1116	C₂²	C₁₉×#520	1	1	yes	characteristic
1117	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
1118	C₂²	C₁₉×#525	1	1	yes	characteristic
1119	C₂²	C₁₉×#525	1	1	yes	characteristic
1120	C₂²	C₁₉×#525	1	1	yes	characteristic
1121	C₂²	C₁₉×#529	1	1	yes	characteristic
1122	C₂²	C₁₉×#529	1	1	yes	characteristic
1123	C₂²	C₁₉×#532	1	1	yes	characteristic
1124	C₂²	C₁₉×#532	1	1	yes	characteristic
1125	C₂²	C₁₉×#535	1	1	yes	characteristic
1126	C₂²	C₁₉×#537	1	1	yes	characteristic
1127	C₂²	C₁₉×#540	1	1	yes	characteristic
1128	C₂²	C₁₉×#542	1	1	yes	characteristic
1129	C₂²	C₁₉×#546	1	1	yes	characteristic
1130	C₂²	C₁₉×#546	1	1	yes	characteristic
1131	C₂²	C₁₉×#546	1	1	yes	characteristic
1132	C₂²	C₁₉×#546	1	1	yes	characteristic
1133	C₂²	C₁₉×#547	1	1	yes	characteristic
1134	C₂²	C₁₉×#547	1	1	yes	characteristic
1135	C₂²	C₁₉×#550	1	1	yes	characteristic
1136	C₂²	C₁₉×#550	1	1	yes	characteristic
1137	C₂²	C₁₉×#551	1	1	yes	characteristic
1138	C₂²	C₁₉×#551	1	1	yes	characteristic
1139	C₂²	C₁₉×#551	1	1	yes	characteristic
1140	C₂²	C₁₉×#552	1	1	yes	characteristic
1141	C₂²	C₁₉×#553	1	1	yes	characteristic
1142	C₂²	C₁₉×#555	1	1	yes	characteristic
1143	C₂²	C₁₉×#555	1	1	yes	characteristic
1144	C₂²	C₁₉×#556	1	1	yes	characteristic
1145	C₄	—	2	4	no	—
1146	C₄	—	2	4	no	—
1147	C₄	—	2	4	no	—
1148	C₄	—	2	4	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	2	no	—
1152	C₄	—	4	2	no	—
1153	C₄	—	4	2	no	—
1154	C₄	—	4	2	no	—
1155	C₄	—	4	2	no	—
1156	C₄	—	8	1	no	—
1157	C₄	—	8	1	no	—
1158	C₂	—	4	4	no	—
1159	C₂	—	8	2	no	—
1160	C₂	C₁₉×#2293	1	1	yes	characteristic
1161	C₂	C₄×C₁₉×#120	1	1	yes	characteristic
1162	C₂	C₁₉×#2324	1	1	yes	characteristic
1163	C₂	C₁₉×#2342	1	1	yes	characteristic
1164	C₂	C₁₉×#2354	1	1	yes	characteristic
1165	C₂	C₁₉×#2359	1	1	yes	characteristic
1166	C₂	C₁₉×#2363	1	1	yes	characteristic
1167	C₂	C₁₉×#2430	1	1	yes	characteristic
1168	C₂	C₁₉×#2431	1	1	yes	characteristic
1169	C₂	C₁₉×#2471	1	1	yes	characteristic
1170	C₂	C₁₉×#2474	1	1	yes	characteristic
1171	C₂	C₁₉×#2476	1	1	yes	characteristic
1172	C₂	C₁₉×#2479	1	1	yes	characteristic
1173	C₂	C₁₉×#2601	1	1	yes	characteristic
1174	C₂	C₁₉×#2610	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂³×D₄×C₁₉	C₂²
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
1. C₂²×C₁₉×#117	C₂	semidirect
3. C₂×C₁₉×#388	C₂	semidirect
4. C₂×C₁₉×#388	C₂	semidirect
6. C₁₉×#1444	C₂	semidirect
7. C₁₉×#1439	C₂	semidirect
8. C₁₉×#1439	C₂	semidirect
10. C₁₉×#1437	C₂	semidirect
11. C₁₉×#1437	C₂	semidirect
12. C₁₉×#1436	C₂	semidirect
13. C₁₉×#1436	C₂	semidirect
14. C₁₉×C₂²⋊#95	C₂	semidirect
15. C₄×C₁₉×#95	C₂	semidirect
43. C₁₉×#386	C₄	semidirect
99. C₂×C₄⋊C₄×C₁₉	D₄	semidirect
144. C₂×C₄²×C₁₉	D₄	semidirect
314. #14071	C₁₉	direct (N × H)
489. C₂×C₄×C₁₉	#117	semidirect
493. C₂²×#117	C₂×C₁₉	semidirect
495. C₂×#388	C₂×C₁₉	semidirect
496. C₂×#388	C₂×C₁₉	semidirect
498. #1444	C₂×C₁₉	semidirect
499. #1439	C₂×C₁₉	semidirect
500. #1439	C₂×C₁₉	semidirect
502. #1437	C₂×C₁₉	semidirect
503. #1437	C₂×C₁₉	semidirect
504. #1436	C₂×C₁₉	semidirect
505. #1436	C₂×C₁₉	semidirect
506. C₂²⋊#95	C₂×C₁₉	semidirect
507. C₄×#95	C₂×C₁₉	semidirect
613. #386	C₄×C₁₉	semidirect
686. C₂×C₄⋊C₄	D₄×C₁₉	semidirect
731. C₂×C₄²	D₄×C₁₉	semidirect
746. C₁₉	#14071	direct (N × H)
1076. C₂×C₄	C₁₉×#117	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×#117	2
C₂×C₁₉×#390	2
C₂×C₁₉×#388	2
C₂×C₁₉×#386	2
C₁₉×#1444	2
C₁₉×#1439	2
C₁₉×#1438	2
C₁₉×#1437	2
C₁₉×#1436	2
C₁₉×C₂²⋊#95	2
C₄×C₁₉×#95	2
#14071	19

Subgroups — C19×#14071 #18020030

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14071 #18020030