Subgroups — C₁₉×#34741 #18040700

Order 4864.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#41×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#2469	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#2468	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2467	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#2466	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2465	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#2464	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#2463	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#2462	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#2461	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#2460	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#2459	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#2458	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#2457	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#2456	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#2456	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#2455	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#2392	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#2388	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#2388	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₉×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₉×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₁₉×#123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₁₉×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#2298	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#2293	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
33	C₁₉×#529	—	2	8	no	—
34	C₂×C₁₉×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×#126	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×#125	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic
38	C₂×C₁₉×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₉×#123	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×#123	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
46	C₄×#41×C₁₉	—	2	8	no	—
47	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
65	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
66	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
67	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
68	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
69	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
70	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
71	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
73	C₁₉×#400	C₂²	1	1	yes	characteristic
74	C₁₉×#399	C₂²	1	1	yes	characteristic
75	C₁₉×#398	C₂²	1	1	yes	characteristic
76	C₁₉×#398	C₂²	1	1	yes	characteristic
77	C₁₉×#398	C₂²	1	1	yes	characteristic
78	C₁₉×#397	C₂²	1	1	yes	characteristic
79	C₁₉×#396	C₂²	1	1	yes	characteristic
80	C₁₉×#396	C₂²	1	1	yes	characteristic
81	C₁₉×#396	C₂²	1	1	yes	characteristic
82	C₁₉×#396	C₂²	1	1	yes	characteristic
83	C₁₉×#395	C₂²	1	1	yes	characteristic
84	C₁₉×#395	C₂²	1	1	yes	characteristic
85	C₁₉×#395	C₂²	1	1	yes	characteristic
86	C₁₉×#394	C₂²	1	1	yes	characteristic
87	C₁₉×#394	C₂²	1	1	yes	characteristic
88	C₁₉×#394	C₂²	1	1	yes	characteristic
89	C₁₉×#394	C₂²	1	1	yes	characteristic
90	C₁₉×#394	C₂²	1	1	yes	characteristic
91	C₁₉×#394	C₂²	1	1	yes	characteristic
92	C₁₉×#394	C₂²	1	1	yes	characteristic
93	C₁₉×#394	C₂²	1	1	yes	characteristic
94	C₁₉×#394	C₂²	1	1	yes	characteristic
95	C₁₉×#393	C₂²	1	1	yes	characteristic
96	C₁₉×#393	C₂²	1	1	yes	characteristic
97	C₁₉×#393	C₂²	1	1	yes	characteristic
98	C₁₉×#392	C₂²	1	1	yes	characteristic
99	C₁₉×#392	C₂²	1	1	yes	characteristic
100	C₁₉×#392	C₂²	1	1	yes	characteristic
101	C₁₉×#392	C₂²	1	1	yes	characteristic
102	C₁₉×#392	C₂²	1	1	yes	characteristic
103	C₁₉×#392	C₂²	1	1	yes	characteristic
104	C₁₉×#392	C₂²	1	1	yes	characteristic
105	C₁₉×#391	C₂²	1	1	yes	characteristic
106	C₁₉×#390	C₂²	1	1	yes	characteristic
107	C₁₉×#390	C₂²	1	1	yes	characteristic
108	C₁₉×#390	C₂²	1	1	yes	characteristic
109	C₁₉×#389	C₂²	1	1	yes	characteristic
110	C₁₉×#389	C₂²	1	1	yes	characteristic
111	C₁₉×#389	C₂²	1	1	yes	characteristic
112	C₁₉×#389	C₂²	1	1	yes	characteristic
113	C₁₉×#388	C₂²	1	1	yes	characteristic
114	C₁₉×#388	C₂²	1	1	yes	characteristic
115	C₁₉×#388	C₂²	1	1	yes	characteristic
116	C₁₉×#388	C₂²	1	1	yes	characteristic
117	C₁₉×#388	C₂²	1	1	yes	characteristic
118	C₁₉×#388	C₂²	1	1	yes	characteristic
119	C₁₉×#388	C₂²	1	1	yes	characteristic
120	C₁₉×#388	C₂²	1	1	yes	characteristic
121	C₁₉×#388	C₂²	1	1	yes	characteristic
122	C₁₉×#388	C₂²	1	1	yes	characteristic
123	C₁₉×#388	C₂²	1	1	yes	characteristic
124	C₁₉×#388	C₂²	1	1	yes	characteristic
125	C₁₉×#388	C₂²	1	1	yes	characteristic
126	C₁₉×#388	C₂²	1	1	yes	characteristic
127	C₁₉×#388	C₂²	1	1	yes	characteristic
128	C₁₉×#388	C₂²	1	1	yes	characteristic
129	C₁₉×#388	C₂²	1	1	yes	characteristic
130	C₁₉×#388	C₂²	1	1	yes	characteristic
131	C₁₉×#387	C₂²	1	1	yes	characteristic
132	C₁₉×#387	C₂²	1	1	yes	characteristic
133	C₁₉×#387	C₂²	1	1	yes	characteristic
134	C₁₉×#387	C₂²	1	1	yes	characteristic
135	C₁₉×#387	C₂²	1	1	yes	characteristic
136	C₁₉×#387	C₂²	1	1	yes	characteristic
137	C₁₉×#387	C₂²	1	1	yes	characteristic
138	C₁₉×#387	C₂²	1	1	yes	characteristic
139	C₁₉×#387	C₂²	1	1	yes	characteristic
140	C₁₉×#387	C₂²	1	1	yes	characteristic
141	C₁₉×#387	C₂²	1	1	yes	characteristic
142	C₁₉×#387	C₂²	1	1	yes	characteristic
143	C₁₉×#387	C₂²	1	1	yes	characteristic
144	C₁₉×#387	C₂²	1	1	yes	characteristic
145	C₁₉×#386	C₂²	1	1	yes	characteristic
146	C₁₉×#386	C₂²	1	1	yes	characteristic
147	C₁₉×#386	C₂²	1	1	yes	characteristic
148	C₁₉×#386	C₂²	1	1	yes	characteristic
149	C₁₉×#386	C₂²	1	1	yes	characteristic
150	C₁₉×#386	C₂²	1	1	yes	characteristic
151	C₁₉×#386	C₂²	1	1	yes	characteristic
152	C₁₉×#386	C₂²	1	1	yes	characteristic
153	C₁₉×#385	C₂²	1	1	yes	characteristic
154	C₁₉×#385	C₂²	1	1	yes	characteristic
155	C₁₉×#385	C₂²	1	1	yes	characteristic
156	C₁₉×#385	C₂²	1	1	yes	characteristic
157	C₁₉×#385	C₂²	1	1	yes	characteristic
158	C₁₉×#385	C₂²	1	1	yes	characteristic
159	C₁₉×#385	C₂²	1	1	yes	characteristic
160	C₁₉×#385	C₂²	1	1	yes	characteristic
161	C₁₉×#381	C₂²	1	1	yes	characteristic
162	C₁₉×#381	C₂²	1	1	yes	characteristic
163	C₁₉×#380	C₂²	1	1	yes	characteristic
164	C₁₉×#380	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
167	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
168	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
170	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
171	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
172	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
187	C₁₉×#376	C₂²	1	1	yes	characteristic
188	C₄³×C₁₉	C₂²	1	1	yes	characteristic
189	C₂×#41×C₁₉	—	2	4	no	—
190	C₂×#41×C₁₉	—	2	4	no	—
191	C₂×#41×C₁₉	—	2	4	no	—
192	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
217	C₁₉×#126	—	2	4	no	—
218	C₁₉×#126	—	2	4	no	—
219	C₁₉×#125	—	2	4	no	—
220	C₁₉×#124	—	2	4	no	—
221	C₁₉×#123	—	2	4	no	—
222	C₁₉×#123	—	2	4	no	—
223	C₁₉×#123	—	2	4	no	—
224	C₁₉×#123	—	2	4	no	—
225	C₁₉×C₂²⋊Q₈	—	2	4	no	—
226	C₁₉×C₂²⋊Q₈	—	2	4	no	—
227	C₁₉×#121	—	2	4	no	—
228	C₁₉×#121	—	2	4	no	—
229	C₄×Q₈×C₁₉	—	2	4	no	—
230	C₄×Q₈×C₁₉	—	2	4	no	—
231	C₄×Q₈×C₁₉	—	2	4	no	—
232	C₄×D₄×C₁₉	—	2	4	no	—
233	C₄×D₄×C₁₉	—	2	4	no	—
234	C₄×D₄×C₁₉	—	2	4	no	—
235	C₄×D₄×C₁₉	—	2	4	no	—
236	C₄×D₄×C₁₉	—	2	4	no	—
237	C₄×D₄×C₁₉	—	2	4	no	—
238	C₄×D₄×C₁₉	—	2	4	no	—
239	C₄×D₄×C₁₉	—	2	4	no	—
240	C₄×D₄×C₁₉	—	2	4	no	—
241	C₄×D₄×C₁₉	—	2	4	no	—
242	C₄×D₄×C₁₉	—	2	4	no	—
243	C₄×D₄×C₁₉	—	2	4	no	—
244	C₄×D₄×C₁₉	—	2	4	no	—
245	C₄×D₄×C₁₉	—	2	4	no	—
246	C₄×D₄×C₁₉	—	2	4	no	—
247	C₁₉×#117	—	2	4	no	—
248	C₁₉×#117	—	2	4	no	—
249	C₁₉×#117	—	2	4	no	—
250	C₁₉×#117	D₄	1	8	yes	complemented
251	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₁₉	—	2	4	no	—
324	C₂×C₄²×C₁₉	—	2	4	no	—
325	C₂×C₄²×C₁₉	—	2	4	no	—
326	C₂×C₄²×C₁₉	—	2	4	no	—
327	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
349	C₁₉×#95	C₂³	1	1	yes	characteristic
350	C₁₉×#95	C₂³	1	1	yes	characteristic
351	C₁₉×#95	C₂³	1	1	yes	characteristic
352	C₁₉×#95	C₂³	1	1	yes	characteristic
353	C₁₉×#95	C₂³	1	1	yes	characteristic
354	C₁₉×#95	C₂³	1	1	yes	characteristic
355	C₁₉×#95	C₂³	1	1	yes	characteristic
356	C₁₉×#95	C₂³	1	1	yes	characteristic
357	C₁₉×#95	C₂³	1	1	yes	characteristic
358	C₁₉×#95	C₂³	1	1	yes	characteristic
359	C₁₉×#95	C₂³	1	1	yes	characteristic
360	C₁₉×#95	C₂³	1	1	yes	characteristic
361	C₁₉×#95	C₂³	1	1	yes	characteristic
362	C₁₉×#95	C₂³	1	1	yes	characteristic
363	C₁₉×#95	C₂³	1	1	yes	characteristic
364	C₁₉×#95	C₂³	1	1	yes	characteristic
365	C₁₉×#95	C₂³	1	1	yes	characteristic
366	C₁₉×#95	C₂³	1	1	yes	characteristic
367	C₁₉×#95	C₂³	1	1	yes	characteristic
368	C₁₉×#95	C₂³	1	1	yes	characteristic
369	C₁₉×#95	C₂³	1	1	yes	characteristic
370	C₁₉×#95	C₂³	1	1	yes	characteristic
371	C₁₉×#95	C₂³	1	1	yes	characteristic
372	C₁₉×#95	C₂³	1	1	yes	characteristic
373	C₁₉×#95	C₂³	1	1	yes	characteristic
374	C₁₉×#95	C₂³	1	1	yes	characteristic
375	C₁₉×#95	C₂³	1	1	yes	characteristic
376	C₁₉×#95	C₂³	1	1	yes	characteristic
377	C₁₉×#95	C₂³	1	1	yes	characteristic
378	C₁₉×#95	C₂³	1	1	yes	characteristic
379	C₁₉×#95	C₂³	1	1	yes	characteristic
380	C₁₉×#95	C₂³	1	1	yes	characteristic
381	C₁₉×#95	C₂³	1	1	yes	characteristic
382	C₁₉×#95	C₂³	1	1	yes	characteristic
383	C₁₉×#95	C₂³	1	1	yes	characteristic
384	C₁₉×#95	C₂³	1	1	yes	characteristic
385	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
390	#41×C₁₉	—	2	32	no	—
391	C₂×Q₈×C₁₉	—	2	2	no	—
392	C₂×Q₈×C₁₉	—	2	2	no	—
393	C₂×Q₈×C₁₉	—	2	2	no	—
394	C₂×Q₈×C₁₉	—	2	2	no	—
395	C₂×Q₈×C₁₉	—	2	2	no	—
396	C₂×Q₈×C₁₉	—	4	1	no	—
397	C₂×D₄×C₁₉	—	2	2	no	—
398	C₂×D₄×C₁₉	—	2	2	no	—
399	C₂×D₄×C₁₉	—	2	2	no	—
400	C₂×D₄×C₁₉	—	2	2	no	—
401	C₂×D₄×C₁₉	—	2	2	no	—
402	C₂×D₄×C₁₉	—	2	2	no	—
403	C₂×D₄×C₁₉	—	2	2	no	—
404	C₂×D₄×C₁₉	—	2	2	no	—
405	C₂×D₄×C₁₉	—	2	2	no	—
406	C₂×D₄×C₁₉	—	2	2	no	—
407	C₂×D₄×C₁₉	—	2	2	no	—
408	C₂×D₄×C₁₉	—	2	2	no	—
409	C₂×D₄×C₁₉	—	2	2	no	—
410	C₂×D₄×C₁₉	—	2	2	no	—
411	C₂×D₄×C₁₉	—	2	2	no	—
412	C₂×D₄×C₁₉	—	2	2	no	—
413	C₂×D₄×C₁₉	—	2	2	no	—
414	C₂×D₄×C₁₉	—	2	2	no	—
415	C₂×D₄×C₁₉	—	2	2	no	—
416	C₂×D₄×C₁₉	—	2	2	no	—
417	C₂×D₄×C₁₉	—	2	2	no	—
418	C₂×D₄×C₁₉	—	2	2	no	—
419	C₂×D₄×C₁₉	—	2	2	no	—
420	C₂×D₄×C₁₉	—	4	1	no	—
421	C₂×D₄×C₁₉	—	4	1	no	—
422	C₂×D₄×C₁₉	—	4	1	no	—
423	C₂×D₄×C₁₉	—	4	1	no	—
424	C₂×D₄×C₁₉	—	4	1	no	—
425	C₂×D₄×C₁₉	—	4	1	no	—
426	C₂×D₄×C₁₉	—	4	1	no	—
427	C₂²×C₄×C₁₉	—	2	2	no	—
428	C₂²×C₄×C₁₉	—	2	2	no	—
429	C₂²×C₄×C₁₉	—	2	2	no	—
430	C₂²×C₄×C₁₉	—	2	2	no	—
431	C₂²×C₄×C₁₉	—	2	2	no	—
432	C₂²×C₄×C₁₉	—	2	2	no	—
433	C₂²×C₄×C₁₉	—	2	2	no	—
434	C₂²×C₄×C₁₉	—	2	2	no	—
435	C₂²×C₄×C₁₉	—	2	2	no	—
436	C₂²×C₄×C₁₉	—	2	2	no	—
437	C₂²×C₄×C₁₉	—	2	2	no	—
438	C₂²×C₄×C₁₉	—	2	2	no	—
439	C₂²×C₄×C₁₉	—	2	2	no	—
440	C₂²×C₄×C₁₉	—	2	2	no	—
441	C₂²×C₄×C₁₉	—	2	2	no	—
442	C₂²×C₄×C₁₉	—	2	2	no	—
443	C₂²×C₄×C₁₉	—	2	2	no	—
444	C₂²×C₄×C₁₉	—	2	2	no	—
445	C₂²×C₄×C₁₉	—	2	2	no	—
446	C₂²×C₄×C₁₉	—	2	2	no	—
447	C₂²×C₄×C₁₉	—	2	2	no	—
448	C₂²×C₄×C₁₉	—	2	2	no	—
449	C₂²×C₄×C₁₉	—	2	2	no	—
450	C₂²×C₄×C₁₉	—	2	2	no	—
451	C₂²×C₄×C₁₉	—	2	2	no	—
452	C₂²×C₄×C₁₉	—	2	2	no	—
453	C₂²×C₄×C₁₉	—	2	2	no	—
454	C₂²×C₄×C₁₉	—	2	2	no	—
455	C₂²×C₄×C₁₉	—	4	1	no	—
456	C₂²×C₄×C₁₉	—	4	1	no	—
457	C₂²×C₄×C₁₉	—	4	1	no	—
458	C₂²×C₄×C₁₉	—	4	1	no	—
459	C₂²×C₄×C₁₉	—	4	1	no	—
460	C₂²×C₄×C₁₉	—	4	1	no	—
461	C₂²×C₄×C₁₉	—	4	1	no	—
462	C₂²×C₄×C₁₉	—	4	1	no	—
463	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
464	C₂²×C₄×C₁₉	#41	1	4	yes	—
465	C₂²×C₄×C₁₉	#41	1	4	yes	—
466	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
492	C₄⋊C₄×C₁₉	—	2	2	no	—
493	C₄⋊C₄×C₁₉	—	2	2	no	—
494	C₄⋊C₄×C₁₉	—	2	2	no	—
495	C₄⋊C₄×C₁₉	—	2	2	no	—
496	C₄⋊C₄×C₁₉	—	2	2	no	—
497	C₄⋊C₄×C₁₉	—	2	2	no	—
498	C₄⋊C₄×C₁₉	—	2	2	no	—
499	C₄⋊C₄×C₁₉	—	2	2	no	—
500	C₄⋊C₄×C₁₉	—	2	2	no	—
501	C₄⋊C₄×C₁₉	—	2	2	no	—
502	C₄⋊C₄×C₁₉	—	2	2	no	—
503	C₄⋊C₄×C₁₉	—	2	2	no	—
504	C₄⋊C₄×C₁₉	—	2	2	no	—
505	C₄⋊C₄×C₁₉	—	2	2	no	—
506	C₄⋊C₄×C₁₉	—	2	2	no	—
507	C₄⋊C₄×C₁₉	—	2	2	no	—
508	C₄⋊C₄×C₁₉	—	2	2	no	—
509	C₄⋊C₄×C₁₉	—	2	2	no	—
510	C₄⋊C₄×C₁₉	—	2	2	no	—
511	C₄⋊C₄×C₁₉	—	2	2	no	—
512	C₄⋊C₄×C₁₉	—	2	2	no	—
513	C₄⋊C₄×C₁₉	—	2	2	no	—
514	C₄⋊C₄×C₁₉	—	2	2	no	—
515	C₄⋊C₄×C₁₉	—	4	1	no	—
516	C₄⋊C₄×C₁₉	—	4	1	no	—
517	C₄⋊C₄×C₁₉	—	4	1	no	—
518	C₄⋊C₄×C₁₉	—	4	1	no	—
519	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
520	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
521	C₄⋊C₄×C₁₉	#41	1	4	yes	complemented
522	C₂²⋊C₄×C₁₉	—	2	2	no	—
523	C₂²⋊C₄×C₁₉	—	2	2	no	—
524	C₂²⋊C₄×C₁₉	—	2	2	no	—
525	C₂²⋊C₄×C₁₉	—	2	2	no	—
526	C₂²⋊C₄×C₁₉	—	2	2	no	—
527	C₂²⋊C₄×C₁₉	—	2	2	no	—
528	C₂²⋊C₄×C₁₉	—	2	2	no	—
529	C₂²⋊C₄×C₁₉	—	2	2	no	—
530	C₂²⋊C₄×C₁₉	—	2	2	no	—
531	C₂²⋊C₄×C₁₉	—	2	2	no	—
532	C₂²⋊C₄×C₁₉	—	2	2	no	—
533	C₂²⋊C₄×C₁₉	—	2	2	no	—
534	C₂²⋊C₄×C₁₉	—	2	2	no	—
535	C₂²⋊C₄×C₁₉	—	2	2	no	—
536	C₂²⋊C₄×C₁₉	—	2	2	no	—
537	C₂²⋊C₄×C₁₉	—	2	2	no	—
538	C₂²⋊C₄×C₁₉	—	2	2	no	—
539	C₂²⋊C₄×C₁₉	—	2	2	no	—
540	C₂²⋊C₄×C₁₉	—	2	2	no	—
541	C₂²⋊C₄×C₁₉	—	2	2	no	—
542	C₂²⋊C₄×C₁₉	—	2	2	no	—
543	C₂²⋊C₄×C₁₉	—	2	2	no	—
544	C₂²⋊C₄×C₁₉	—	2	2	no	—
545	C₂²⋊C₄×C₁₉	—	2	2	no	—
546	C₂²⋊C₄×C₁₉	—	2	2	no	—
547	C₂²⋊C₄×C₁₉	—	2	2	no	—
548	C₂²⋊C₄×C₁₉	—	2	2	no	—
549	C₂²⋊C₄×C₁₉	—	2	2	no	—
550	C₂²⋊C₄×C₁₉	—	2	2	no	—
551	C₂²⋊C₄×C₁₉	—	2	2	no	—
552	C₂²⋊C₄×C₁₉	—	2	2	no	—
553	C₂²⋊C₄×C₁₉	—	4	1	no	—
554	C₂²⋊C₄×C₁₉	—	4	1	no	—
555	C₂²⋊C₄×C₁₉	—	4	1	no	—
556	C₂²⋊C₄×C₁₉	—	4	1	no	—
557	C₂²⋊C₄×C₁₉	—	4	1	no	—
558	C₂²⋊C₄×C₁₉	—	4	1	no	—
559	C₂²⋊C₄×C₁₉	—	4	1	no	—
560	C₂²⋊C₄×C₁₉	—	4	1	no	—
561	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
562	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
563	C₂²⋊C₄×C₁₉	#41	1	4	yes	complemented
564	C₄²×C₁₉	—	2	2	no	—
565	C₄²×C₁₉	—	2	2	no	—
566	C₄²×C₁₉	—	2	2	no	—
567	C₄²×C₁₉	—	2	2	no	—
568	C₄²×C₁₉	—	2	2	no	—
569	C₄²×C₁₉	—	2	2	no	—
570	C₄²×C₁₉	—	2	2	no	—
571	C₄²×C₁₉	—	2	2	no	—
572	C₄²×C₁₉	—	2	2	no	—
573	C₄²×C₁₉	—	2	2	no	—
574	C₄²×C₁₉	—	2	2	no	—
575	C₄²×C₁₉	—	2	2	no	—
576	C₄²×C₁₉	—	2	2	no	—
577	C₄²×C₁₉	—	2	2	no	—
578	C₄²×C₁₉	—	2	2	no	—
579	C₄²×C₁₉	—	2	2	no	—
580	C₄²×C₁₉	—	2	2	no	—
581	C₄²×C₁₉	—	2	2	no	—
582	C₄²×C₁₉	—	4	1	no	—
583	C₄²×C₁₉	—	4	1	no	—
584	C₄²×C₁₉	C₂×D₄	1	4	yes	—
585	C₄²×C₁₉	C₂×D₄	1	4	yes	—
586	#34741	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
587	C₂³×C₁₉	—	2	1	no	—
588	C₂³×C₁₉	—	2	1	no	—
589	C₂³×C₁₉	—	2	1	no	—
590	C₂³×C₁₉	—	2	1	no	—
591	C₂³×C₁₉	—	2	1	no	—
592	C₂³×C₁₉	—	2	1	no	—
593	C₂³×C₁₉	—	2	1	no	—
594	C₂³×C₁₉	—	2	1	no	—
595	C₂³×C₁₉	—	2	1	no	—
596	C₂³×C₁₉	—	2	1	no	—
597	C₂³×C₁₉	—	2	1	no	—
598	C₂³×C₁₉	—	2	1	no	—
599	C₂³×C₁₉	—	2	1	no	—
600	C₂³×C₁₉	—	2	1	no	—
601	C₂³×C₁₉	—	2	1	no	—
602	C₂³×C₁₉	—	2	1	no	—
603	C₂³×C₁₉	—	2	1	no	—
604	C₂³×C₁₉	—	2	1	no	—
605	C₂³×C₁₉	—	2	1	no	—
606	C₂³×C₁₉	—	2	1	no	—
607	C₂³×C₁₉	—	2	1	no	—
608	C₂³×C₁₉	—	2	1	no	—
609	C₂³×C₁₉	—	2	1	no	—
610	C₂³×C₁₉	—	2	1	no	—
611	C₂³×C₁₉	—	2	1	no	—
612	C₂³×C₁₉	—	2	1	no	—
613	C₂³×C₁₉	—	2	1	no	—
614	C₂³×C₁₉	—	2	1	no	—
615	C₂³×C₁₉	—	2	1	no	—
616	C₂³×C₁₉	—	2	1	no	—
617	C₂³×C₁₉	—	2	1	no	—
618	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
619	C₂³×C₁₉	C₂×#41	1	2	yes	—
620	C₂³×C₁₉	C₂×#41	1	2	yes	—
621	C₂³×C₁₉	C₂×#41	1	2	yes	—
622	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
623	Q₈×C₁₉	—	2	8	no	—
624	Q₈×C₁₉	—	4	4	no	—
625	D₄×C₁₉	—	2	8	no	—
626	D₄×C₁₉	—	2	8	no	—
627	D₄×C₁₉	—	2	8	no	—
628	D₄×C₁₉	—	2	8	no	—
629	D₄×C₁₉	—	4	4	no	—
630	D₄×C₁₉	—	4	4	no	—
631	D₄×C₁₉	—	4	4	no	—
632	D₄×C₁₉	—	4	4	no	—
633	D₄×C₁₉	—	4	4	no	—
634	D₄×C₁₉	—	4	4	no	—
635	C₂×C₄×C₁₉	—	2	1	no	—
636	C₂×C₄×C₁₉	—	2	1	no	—
637	C₂×C₄×C₁₉	—	2	1	no	—
638	C₂×C₄×C₁₉	—	2	1	no	—
639	C₂×C₄×C₁₉	—	2	1	no	—
640	C₂×C₄×C₁₉	—	2	1	no	—
641	C₂×C₄×C₁₉	—	2	1	no	—
642	C₂×C₄×C₁₉	—	2	1	no	—
643	C₂×C₄×C₁₉	—	2	1	no	—
644	C₂×C₄×C₁₉	—	2	1	no	—
645	C₂×C₄×C₁₉	—	2	1	no	—
646	C₂×C₄×C₁₉	—	2	1	no	—
647	C₂×C₄×C₁₉	—	2	1	no	—
648	C₂×C₄×C₁₉	—	2	1	no	—
649	C₂×C₄×C₁₉	—	2	1	no	—
650	C₂×C₄×C₁₉	—	2	1	no	—
651	C₂×C₄×C₁₉	—	2	1	no	—
652	C₂×C₄×C₁₉	—	2	1	no	—
653	C₂×C₄×C₁₉	—	2	1	no	—
654	C₂×C₄×C₁₉	—	2	1	no	—
655	C₂×C₄×C₁₉	—	2	1	no	—
656	C₂×C₄×C₁₉	—	2	1	no	—
657	C₂×C₄×C₁₉	—	2	1	no	—
658	C₂×C₄×C₁₉	—	2	1	no	—
659	C₂×C₄×C₁₉	—	2	8	no	—
660	C₂×C₄×C₁₉	—	2	8	no	—
661	C₂×C₄×C₁₉	—	2	8	no	—
662	C₂×C₄×C₁₉	—	2	1	no	—
663	C₂×C₄×C₁₉	—	2	1	no	—
664	C₂×C₄×C₁₉	—	2	1	no	—
665	C₂×C₄×C₁₉	—	2	1	no	—
666	C₂×C₄×C₁₉	—	2	1	no	—
667	C₂×C₄×C₁₉	—	2	1	no	—
668	C₂×C₄×C₁₉	—	2	1	no	—
669	C₂×C₄×C₁₉	—	2	1	no	—
670	C₂×C₄×C₁₉	—	2	1	no	—
671	C₂×C₄×C₁₉	—	2	1	no	—
672	C₂×C₄×C₁₉	—	2	1	no	—
673	C₂×C₄×C₁₉	—	2	1	no	—
674	C₂×C₄×C₁₉	—	2	1	no	—
675	C₂×C₄×C₁₉	—	2	1	no	—
676	C₂×C₄×C₁₉	—	2	1	no	—
677	C₂×C₄×C₁₉	—	2	1	no	—
678	C₂×C₄×C₁₉	—	2	1	no	—
679	C₂×C₄×C₁₉	—	2	1	no	—
680	C₂×C₄×C₁₉	—	2	1	no	—
681	C₂×C₄×C₁₉	—	2	1	no	—
682	C₂×C₄×C₁₉	—	2	1	no	—
683	C₂×C₄×C₁₉	—	2	1	no	—
684	C₂×C₄×C₁₉	—	2	1	no	—
685	C₂×C₄×C₁₉	—	2	1	no	—
686	C₂×C₄×C₁₉	—	2	1	no	—
687	C₂×C₄×C₁₉	—	2	1	no	—
688	C₂×C₄×C₁₉	—	2	1	no	—
689	C₂×C₄×C₁₉	—	2	1	no	—
690	C₂×C₄×C₁₉	—	2	1	no	—
691	C₂×C₄×C₁₉	—	2	1	no	—
692	C₂×C₄×C₁₉	—	2	1	no	—
693	C₂×C₄×C₁₉	—	2	1	no	—
694	C₂×C₄×C₁₉	—	2	1	no	—
695	C₂×C₄×C₁₉	—	2	1	no	—
696	C₂×C₄×C₁₉	—	2	1	no	—
697	C₂×C₄×C₁₉	—	2	1	no	—
698	C₂×C₄×C₁₉	—	2	1	no	—
699	C₂×C₄×C₁₉	—	2	1	no	—
700	C₂×C₄×C₁₉	—	2	1	no	—
701	C₂×C₄×C₁₉	—	4	4	no	—
702	C₂×C₄×C₁₉	—	4	4	no	—
703	C₂×C₄×C₁₉	—	4	4	no	—
704	C₂×C₄×C₁₉	—	4	4	no	—
705	C₂×C₄×C₁₉	—	4	4	no	—
706	C₂×C₄×C₁₉	—	4	4	no	—
707	C₂×C₄×C₁₉	—	4	4	no	—
708	C₂×C₄×C₁₉	—	4	4	no	—
709	C₂×C₄×C₁₉	—	4	4	no	—
710	C₂×C₄×C₁₉	—	4	4	no	—
711	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
712	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
713	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
714	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
715	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
716	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
717	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
718	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
719	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
720	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
721	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
722	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
723	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
724	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
725	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
726	C₂×#529	C₂×C₁₉	1	1	yes	characteristic, complemented
727	C₂×C₄×#41	C₂×C₁₉	1	1	yes	characteristic, complemented
728	#2469	C₂×C₁₉	1	1	yes	characteristic, complemented
729	#2468	C₂×C₁₉	1	1	yes	characteristic, complemented
730	#2467	C₂×C₁₉	1	1	yes	characteristic, complemented
731	#2466	C₂×C₁₉	1	1	yes	characteristic, complemented
732	#2465	C₂×C₁₉	1	1	yes	characteristic, complemented
733	#2464	C₂×C₁₉	1	1	yes	characteristic, complemented
734	#2463	C₂×C₁₉	1	1	yes	characteristic, complemented
735	#2462	C₂×C₁₉	1	1	yes	characteristic, complemented
736	#2461	C₂×C₁₉	1	1	yes	characteristic, complemented
737	#2460	C₂×C₁₉	1	1	yes	characteristic, complemented
738	#2459	C₂×C₁₉	1	1	yes	characteristic, complemented
739	#2458	C₂×C₁₉	1	1	yes	characteristic, complemented
740	#2457	C₂×C₁₉	1	1	yes	characteristic, complemented
741	#2456	C₂×C₁₉	1	1	yes	characteristic, complemented
742	#2456	C₂×C₁₉	1	1	yes	characteristic, complemented
743	#2455	C₂×C₁₉	1	1	yes	characteristic, complemented
744	#2396	C₂×C₁₉	1	1	yes	characteristic, complemented
745	#2392	C₂×C₁₉	1	1	yes	characteristic, complemented
746	#2388	C₂×C₁₉	1	1	yes	characteristic, complemented
747	#2388	C₂×C₁₉	1	1	yes	characteristic, complemented
748	C₄×C₂²⋊Q₈	C₂×C₁₉	1	1	yes	characteristic, complemented
749	C₄×#123	C₂×C₁₉	1	1	yes	characteristic, complemented
750	C₄×#123	C₂×C₁₉	1	1	yes	characteristic, complemented
751	C₄×#121	C₂×C₁₉	1	1	yes	characteristic, complemented
752	#2298	C₂×C₁₉	1	1	yes	characteristic, complemented
753	#2293	C₂×C₁₉	1	1	yes	characteristic, complemented
754	#2290	C₂×C₁₉	1	1	yes	characteristic, complemented
755	#2290	C₂×C₁₉	1	1	yes	characteristic, complemented
756	C₄²×D₄	C₂×C₁₉	1	1	yes	characteristic, complemented
757	C₂²×C₁₉	—	2	2	no	—
758	C₂²×C₁₉	—	2	2	no	—
759	C₂²×C₁₉	—	2	2	no	—
760	C₂²×C₁₉	—	2	2	no	—
761	C₂²×C₁₉	—	2	2	no	—
762	C₂²×C₁₉	—	2	2	no	—
763	C₂²×C₁₉	—	2	2	no	—
764	C₂²×C₁₉	—	2	2	no	—
765	C₂²×C₁₉	—	2	2	no	—
766	C₂²×C₁₉	—	2	2	no	—
767	C₂²×C₁₉	—	2	2	no	—
768	C₂²×C₁₉	—	2	2	no	—
769	C₂²×C₁₉	—	4	1	no	—
770	C₂²×C₁₉	—	4	1	no	—
771	C₂²×C₁₉	—	4	1	no	—
772	C₂²×C₁₉	—	4	1	no	—
773	C₂²×C₁₉	—	4	1	no	—
774	C₂²×C₁₉	—	4	1	no	—
775	C₂²×C₁₉	—	4	1	no	—
776	C₂²×C₁₉	—	4	1	no	—
777	C₂²×C₁₉	—	4	1	no	—
778	C₂²×C₁₉	—	4	1	no	—
779	C₂²×C₁₉	—	4	1	no	—
780	C₂²×C₁₉	—	4	1	no	—
781	C₂²×C₁₉	—	4	1	no	—
782	C₂²×C₁₉	—	4	1	no	—
783	C₂²×C₁₉	—	4	1	no	—
784	C₂²×C₁₉	—	4	1	no	—
785	C₂²×C₁₉	—	4	1	no	—
786	C₂²×C₁₉	—	4	1	no	—
787	C₂²×C₁₉	—	4	1	no	—
788	C₂²×C₁₉	—	4	1	no	—
789	C₂²×C₁₉	—	4	1	no	—
790	C₂²×C₁₉	—	4	1	no	—
791	C₂²×C₁₉	—	4	1	no	—
792	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
793	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
794	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
795	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
796	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
797	C₂²×C₁₉	#585	1	1	yes	characteristic
798	C₂²×C₁₉	#585	1	1	yes	characteristic
799	C₄×C₁₉	—	2	2	no	—
800	C₄×C₁₉	—	2	2	no	—
801	C₄×C₁₉	—	2	2	no	—
802	C₄×C₁₉	—	2	2	no	—
803	C₄×C₁₉	—	2	2	no	—
804	C₄×C₁₉	—	2	2	no	—
805	C₄×C₁₉	—	2	2	no	—
806	C₄×C₁₉	—	2	2	no	—
807	C₄×C₁₉	—	2	2	no	—
808	C₄×C₁₉	—	2	2	no	—
809	C₄×C₁₉	—	2	2	no	—
810	C₄×C₁₉	—	2	2	no	—
811	C₄×C₁₉	—	4	1	no	—
812	C₄×C₁₉	—	4	1	no	—
813	C₄×C₁₉	—	4	1	no	—
814	C₄×C₁₉	—	4	1	no	—
815	C₄×C₁₉	—	4	1	no	—
816	C₄×C₁₉	—	4	1	no	—
817	C₄×C₁₉	—	4	1	no	—
818	C₄×C₁₉	—	4	1	no	—
819	C₄×C₁₉	—	4	1	no	—
820	C₄×C₁₉	—	4	1	no	—
821	C₄×C₁₉	—	4	1	no	—
822	C₄×C₁₉	—	4	1	no	—
823	C₄×C₁₉	—	4	1	no	—
824	C₄×C₁₉	#525	1	4	yes	—
825	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
826	#529	—	2	8	no	—
827	C₂×#126	C₂²×C₁₉	1	1	yes	characteristic
828	C₂×#126	C₂²×C₁₉	1	1	yes	characteristic
829	C₂×#125	C₂²×C₁₉	1	1	yes	characteristic
830	C₂×#124	C₂²×C₁₉	1	1	yes	characteristic
831	C₂×#123	C₂²×C₁₉	1	1	yes	characteristic
832	C₂×#123	C₂²×C₁₉	1	1	yes	characteristic
833	C₂×#123	C₂²×C₁₉	1	1	yes	characteristic
834	C₂×#123	C₂²×C₁₉	1	1	yes	characteristic
835	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
836	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
837	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
838	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
839	C₄×#41	—	2	8	no	—
840	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
841	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
842	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
845	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
846	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
847	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
849	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
850	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
851	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
852	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
853	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
854	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
855	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
856	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
857	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
858	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
859	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
860	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
861	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
862	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
863	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
864	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
865	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
866	#400	C₂²×C₁₉	1	1	yes	characteristic
867	#399	C₂²×C₁₉	1	1	yes	characteristic
868	#398	C₂²×C₁₉	1	1	yes	characteristic
869	#398	C₂²×C₁₉	1	1	yes	characteristic
870	#398	C₂²×C₁₉	1	1	yes	characteristic
871	#397	C₂²×C₁₉	1	1	yes	characteristic
872	#396	C₂²×C₁₉	1	1	yes	characteristic
873	#396	C₂²×C₁₉	1	1	yes	characteristic
874	#396	C₂²×C₁₉	1	1	yes	characteristic
875	#396	C₂²×C₁₉	1	1	yes	characteristic
876	#395	C₂²×C₁₉	1	1	yes	characteristic
877	#395	C₂²×C₁₉	1	1	yes	characteristic
878	#395	C₂²×C₁₉	1	1	yes	characteristic
879	#394	C₂²×C₁₉	1	1	yes	characteristic
880	#394	C₂²×C₁₉	1	1	yes	characteristic
881	#394	C₂²×C₁₉	1	1	yes	characteristic
882	#394	C₂²×C₁₉	1	1	yes	characteristic
883	#394	C₂²×C₁₉	1	1	yes	characteristic
884	#394	C₂²×C₁₉	1	1	yes	characteristic
885	#394	C₂²×C₁₉	1	1	yes	characteristic
886	#394	C₂²×C₁₉	1	1	yes	characteristic
887	#394	C₂²×C₁₉	1	1	yes	characteristic
888	#393	C₂²×C₁₉	1	1	yes	characteristic
889	#393	C₂²×C₁₉	1	1	yes	characteristic
890	#393	C₂²×C₁₉	1	1	yes	characteristic
891	#392	C₂²×C₁₉	1	1	yes	characteristic
892	#392	C₂²×C₁₉	1	1	yes	characteristic
893	#392	C₂²×C₁₉	1	1	yes	characteristic
894	#392	C₂²×C₁₉	1	1	yes	characteristic
895	#392	C₂²×C₁₉	1	1	yes	characteristic
896	#392	C₂²×C₁₉	1	1	yes	characteristic
897	#392	C₂²×C₁₉	1	1	yes	characteristic
898	#391	C₂²×C₁₉	1	1	yes	characteristic
899	#390	C₂²×C₁₉	1	1	yes	characteristic
900	#390	C₂²×C₁₉	1	1	yes	characteristic
901	#390	C₂²×C₁₉	1	1	yes	characteristic
902	#389	C₂²×C₁₉	1	1	yes	characteristic
903	#389	C₂²×C₁₉	1	1	yes	characteristic
904	#389	C₂²×C₁₉	1	1	yes	characteristic
905	#389	C₂²×C₁₉	1	1	yes	characteristic
906	#388	C₂²×C₁₉	1	1	yes	characteristic
907	#388	C₂²×C₁₉	1	1	yes	characteristic
908	#388	C₂²×C₁₉	1	1	yes	characteristic
909	#388	C₂²×C₁₉	1	1	yes	characteristic
910	#388	C₂²×C₁₉	1	1	yes	characteristic
911	#388	C₂²×C₁₉	1	1	yes	characteristic
912	#388	C₂²×C₁₉	1	1	yes	characteristic
913	#388	C₂²×C₁₉	1	1	yes	characteristic
914	#388	C₂²×C₁₉	1	1	yes	characteristic
915	#388	C₂²×C₁₉	1	1	yes	characteristic
916	#388	C₂²×C₁₉	1	1	yes	characteristic
917	#388	C₂²×C₁₉	1	1	yes	characteristic
918	#388	C₂²×C₁₉	1	1	yes	characteristic
919	#388	C₂²×C₁₉	1	1	yes	characteristic
920	#388	C₂²×C₁₉	1	1	yes	characteristic
921	#388	C₂²×C₁₉	1	1	yes	characteristic
922	#388	C₂²×C₁₉	1	1	yes	characteristic
923	#388	C₂²×C₁₉	1	1	yes	characteristic
924	#387	C₂²×C₁₉	1	1	yes	characteristic
925	#387	C₂²×C₁₉	1	1	yes	characteristic
926	#387	C₂²×C₁₉	1	1	yes	characteristic
927	#387	C₂²×C₁₉	1	1	yes	characteristic
928	#387	C₂²×C₁₉	1	1	yes	characteristic
929	#387	C₂²×C₁₉	1	1	yes	characteristic
930	#387	C₂²×C₁₉	1	1	yes	characteristic
931	#387	C₂²×C₁₉	1	1	yes	characteristic
932	#387	C₂²×C₁₉	1	1	yes	characteristic
933	#387	C₂²×C₁₉	1	1	yes	characteristic
934	#387	C₂²×C₁₉	1	1	yes	characteristic
935	#387	C₂²×C₁₉	1	1	yes	characteristic
936	#387	C₂²×C₁₉	1	1	yes	characteristic
937	#387	C₂²×C₁₉	1	1	yes	characteristic
938	#386	C₂²×C₁₉	1	1	yes	characteristic
939	#386	C₂²×C₁₉	1	1	yes	characteristic
940	#386	C₂²×C₁₉	1	1	yes	characteristic
941	#386	C₂²×C₁₉	1	1	yes	characteristic
942	#386	C₂²×C₁₉	1	1	yes	characteristic
943	#386	C₂²×C₁₉	1	1	yes	characteristic
944	#386	C₂²×C₁₉	1	1	yes	characteristic
945	#386	C₂²×C₁₉	1	1	yes	characteristic
946	#385	C₂²×C₁₉	1	1	yes	characteristic
947	#385	C₂²×C₁₉	1	1	yes	characteristic
948	#385	C₂²×C₁₉	1	1	yes	characteristic
949	#385	C₂²×C₁₉	1	1	yes	characteristic
950	#385	C₂²×C₁₉	1	1	yes	characteristic
951	#385	C₂²×C₁₉	1	1	yes	characteristic
952	#385	C₂²×C₁₉	1	1	yes	characteristic
953	#385	C₂²×C₁₉	1	1	yes	characteristic
954	#381	C₂²×C₁₉	1	1	yes	characteristic
955	#381	C₂²×C₁₉	1	1	yes	characteristic
956	#380	C₂²×C₁₉	1	1	yes	characteristic
957	#380	C₂²×C₁₉	1	1	yes	characteristic
958	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
959	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
960	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
961	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
962	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
963	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
964	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
965	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
966	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
967	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
968	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
969	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
970	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
971	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
972	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
973	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
974	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
975	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
976	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
977	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
978	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
979	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
980	#376	C₂²×C₁₉	1	1	yes	characteristic
981	C₄³	C₂²×C₁₉	1	1	yes	characteristic
982	C₂×C₁₉	—	4	2	no	—
983	C₂×C₁₉	—	4	2	no	—
984	C₂×C₁₉	—	4	2	no	—
985	C₂×C₁₉	—	4	2	no	—
986	C₂×C₁₉	—	8	1	no	—
987	C₂×C₁₉	C₂×#525	1	1	yes	characteristic
988	C₂×C₁₉	#3444	1	1	yes	characteristic
989	C₂×C₁₉	#3455	1	1	yes	characteristic
990	C₂×C₁₉	D₄×#41	1	1	yes	characteristic
991	C₂×C₁₉	D₄×#41	1	1	yes	characteristic
992	C₂×C₁₉	#3475	1	1	yes	characteristic
993	C₂×C₁₉	#3480	1	1	yes	characteristic
994	C₂×#41	—	2	4	no	—
995	C₂×#41	—	2	4	no	—
996	C₂×#41	—	2	4	no	—
997	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
998	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
999	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1000	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1001	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1002	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1003	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1004	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1005	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1006	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1007	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1008	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1009	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1010	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1011	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1012	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1013	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1014	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1015	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1016	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1017	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1018	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1019	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1020	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1021	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1022	#126	—	2	4	no	—
1023	#126	—	2	4	no	—
1024	#125	—	2	4	no	—
1025	#124	—	2	4	no	—
1026	#123	—	2	4	no	—
1027	#123	—	2	4	no	—
1028	#123	—	2	4	no	—
1029	#123	—	2	4	no	—
1030	C₂²⋊Q₈	—	2	4	no	—
1031	C₂²⋊Q₈	—	2	4	no	—
1032	#121	—	2	4	no	—
1033	#121	—	2	4	no	—
1034	C₄×Q₈	—	2	4	no	—
1035	C₄×Q₈	—	2	4	no	—
1036	C₄×Q₈	—	2	4	no	—
1037	C₄×D₄	—	2	4	no	—
1038	C₄×D₄	—	2	4	no	—
1039	C₄×D₄	—	2	4	no	—
1040	C₄×D₄	—	2	4	no	—
1041	C₄×D₄	—	2	4	no	—
1042	C₄×D₄	—	2	4	no	—
1043	C₄×D₄	—	2	4	no	—
1044	C₄×D₄	—	2	4	no	—
1045	C₄×D₄	—	2	4	no	—
1046	C₄×D₄	—	2	4	no	—
1047	C₄×D₄	—	2	4	no	—
1048	C₄×D₄	—	2	4	no	—
1049	C₄×D₄	—	2	4	no	—
1050	C₄×D₄	—	2	4	no	—
1051	C₄×D₄	—	2	4	no	—
1052	#117	—	2	4	no	—
1053	#117	—	2	4	no	—
1054	#117	—	2	4	no	—
1055	#117	D₄×C₁₉	1	8	yes	complemented
1056	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1128	C₂×C₄²	—	2	4	no	—
1129	C₂×C₄²	—	2	4	no	—
1130	C₂×C₄²	—	2	4	no	—
1131	C₂×C₄²	—	2	4	no	—
1132	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1133	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1134	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1135	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1136	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1137	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1138	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1139	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1140	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1141	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1142	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1143	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1144	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1145	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1146	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1147	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1148	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1149	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1150	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1151	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1152	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1153	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1154	#95	C₂³×C₁₉	1	1	yes	characteristic
1155	#95	C₂³×C₁₉	1	1	yes	characteristic
1156	#95	C₂³×C₁₉	1	1	yes	characteristic
1157	#95	C₂³×C₁₉	1	1	yes	characteristic
1158	#95	C₂³×C₁₉	1	1	yes	characteristic
1159	#95	C₂³×C₁₉	1	1	yes	characteristic
1160	#95	C₂³×C₁₉	1	1	yes	characteristic
1161	#95	C₂³×C₁₉	1	1	yes	characteristic
1162	#95	C₂³×C₁₉	1	1	yes	characteristic
1163	#95	C₂³×C₁₉	1	1	yes	characteristic
1164	#95	C₂³×C₁₉	1	1	yes	characteristic
1165	#95	C₂³×C₁₉	1	1	yes	characteristic
1166	#95	C₂³×C₁₉	1	1	yes	characteristic
1167	#95	C₂³×C₁₉	1	1	yes	characteristic
1168	#95	C₂³×C₁₉	1	1	yes	characteristic
1169	#95	C₂³×C₁₉	1	1	yes	characteristic
1170	#95	C₂³×C₁₉	1	1	yes	characteristic
1171	#95	C₂³×C₁₉	1	1	yes	characteristic
1172	#95	C₂³×C₁₉	1	1	yes	characteristic
1173	#95	C₂³×C₁₉	1	1	yes	characteristic
1174	#95	C₂³×C₁₉	1	1	yes	characteristic
1175	#95	C₂³×C₁₉	1	1	yes	characteristic
1176	#95	C₂³×C₁₉	1	1	yes	characteristic
1177	#95	C₂³×C₁₉	1	1	yes	characteristic
1178	#95	C₂³×C₁₉	1	1	yes	characteristic
1179	#95	C₂³×C₁₉	1	1	yes	characteristic
1180	#95	C₂³×C₁₉	1	1	yes	characteristic
1181	#95	C₂³×C₁₉	1	1	yes	characteristic
1182	#95	C₂³×C₁₉	1	1	yes	characteristic
1183	#95	C₂³×C₁₉	1	1	yes	characteristic
1184	#95	C₂³×C₁₉	1	1	yes	characteristic
1185	#95	C₂³×C₁₉	1	1	yes	characteristic
1186	#95	C₂³×C₁₉	1	1	yes	characteristic
1187	#95	C₂³×C₁₉	1	1	yes	characteristic
1188	#95	C₂³×C₁₉	1	1	yes	characteristic
1189	#95	C₂³×C₁₉	1	1	yes	characteristic
1190	C₁₉	#34741	1	1	yes	characteristic, direct product factor, Sylow
1191	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1192	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1193	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1194	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1195	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1196	#41	—	2	32	no	—
1197	C₂×Q₈	—	2	2	no	—
1198	C₂×Q₈	—	2	2	no	—
1199	C₂×Q₈	—	2	2	no	—
1200	C₂×Q₈	—	2	2	no	—
1201	C₂×Q₈	—	2	2	no	—
1202	C₂×Q₈	—	4	1	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	2	no	—
1206	C₂×D₄	—	2	2	no	—
1207	C₂×D₄	—	2	2	no	—
1208	C₂×D₄	—	2	2	no	—
1209	C₂×D₄	—	2	2	no	—
1210	C₂×D₄	—	2	2	no	—
1211	C₂×D₄	—	2	2	no	—
1212	C₂×D₄	—	2	2	no	—
1213	C₂×D₄	—	2	2	no	—
1214	C₂×D₄	—	2	2	no	—
1215	C₂×D₄	—	2	2	no	—
1216	C₂×D₄	—	2	2	no	—
1217	C₂×D₄	—	2	2	no	—
1218	C₂×D₄	—	2	2	no	—
1219	C₂×D₄	—	2	2	no	—
1220	C₂×D₄	—	2	2	no	—
1221	C₂×D₄	—	2	2	no	—
1222	C₂×D₄	—	2	2	no	—
1223	C₂×D₄	—	2	2	no	—
1224	C₂×D₄	—	2	2	no	—
1225	C₂×D₄	—	2	2	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	1	no	—
1229	C₂×D₄	—	4	1	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂×D₄	—	4	1	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	2	no	—
1235	C₂²×C₄	—	2	2	no	—
1236	C₂²×C₄	—	2	2	no	—
1237	C₂²×C₄	—	2	2	no	—
1238	C₂²×C₄	—	2	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	2	2	no	—
1244	C₂²×C₄	—	2	2	no	—
1245	C₂²×C₄	—	2	2	no	—
1246	C₂²×C₄	—	2	2	no	—
1247	C₂²×C₄	—	2	2	no	—
1248	C₂²×C₄	—	2	2	no	—
1249	C₂²×C₄	—	2	2	no	—
1250	C₂²×C₄	—	2	2	no	—
1251	C₂²×C₄	—	2	2	no	—
1252	C₂²×C₄	—	2	2	no	—
1253	C₂²×C₄	—	2	2	no	—
1254	C₂²×C₄	—	2	2	no	—
1255	C₂²×C₄	—	2	2	no	—
1256	C₂²×C₄	—	2	2	no	—
1257	C₂²×C₄	—	2	2	no	—
1258	C₂²×C₄	—	2	2	no	—
1259	C₂²×C₄	—	2	2	no	—
1260	C₂²×C₄	—	2	2	no	—
1261	C₂²×C₄	—	4	1	no	—
1262	C₂²×C₄	—	4	1	no	—
1263	C₂²×C₄	—	4	1	no	—
1264	C₂²×C₄	—	4	1	no	—
1265	C₂²×C₄	—	4	1	no	—
1266	C₂²×C₄	—	4	1	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	1	no	—
1269	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
1270	C₂²×C₄	#41×C₁₉	1	4	yes	—
1271	C₂²×C₄	#41×C₁₉	1	4	yes	—
1272	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1277	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1278	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1279	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1281	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1285	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1288	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1294	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1295	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1296	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	2	no	—
1300	C₄⋊C₄	—	2	2	no	—
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	2	2	no	—
1303	C₄⋊C₄	—	2	2	no	—
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	2	2	no	—
1306	C₄⋊C₄	—	2	2	no	—
1307	C₄⋊C₄	—	2	2	no	—
1308	C₄⋊C₄	—	2	2	no	—
1309	C₄⋊C₄	—	2	2	no	—
1310	C₄⋊C₄	—	2	2	no	—
1311	C₄⋊C₄	—	2	2	no	—
1312	C₄⋊C₄	—	2	2	no	—
1313	C₄⋊C₄	—	2	2	no	—
1314	C₄⋊C₄	—	2	2	no	—
1315	C₄⋊C₄	—	2	2	no	—
1316	C₄⋊C₄	—	2	2	no	—
1317	C₄⋊C₄	—	2	2	no	—
1318	C₄⋊C₄	—	2	2	no	—
1319	C₄⋊C₄	—	2	2	no	—
1320	C₄⋊C₄	—	2	2	no	—
1321	C₄⋊C₄	—	4	1	no	—
1322	C₄⋊C₄	—	4	1	no	—
1323	C₄⋊C₄	—	4	1	no	—
1324	C₄⋊C₄	—	4	1	no	—
1325	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
1326	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
1327	C₄⋊C₄	#41×C₁₉	1	4	yes	complemented
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	2	2	no	—
1340	C₂²⋊C₄	—	2	2	no	—
1341	C₂²⋊C₄	—	2	2	no	—
1342	C₂²⋊C₄	—	2	2	no	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	2	2	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	2	2	no	—
1349	C₂²⋊C₄	—	2	2	no	—
1350	C₂²⋊C₄	—	2	2	no	—
1351	C₂²⋊C₄	—	2	2	no	—
1352	C₂²⋊C₄	—	2	2	no	—
1353	C₂²⋊C₄	—	2	2	no	—
1354	C₂²⋊C₄	—	2	2	no	—
1355	C₂²⋊C₄	—	2	2	no	—
1356	C₂²⋊C₄	—	2	2	no	—
1357	C₂²⋊C₄	—	2	2	no	—
1358	C₂²⋊C₄	—	2	2	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
1368	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
1369	C₂²⋊C₄	#41×C₁₉	1	4	yes	complemented
1370	C₄²	—	2	2	no	—
1371	C₄²	—	2	2	no	—
1372	C₄²	—	2	2	no	—
1373	C₄²	—	2	2	no	—
1374	C₄²	—	2	2	no	—
1375	C₄²	—	2	2	no	—
1376	C₄²	—	2	2	no	—
1377	C₄²	—	2	2	no	—
1378	C₄²	—	2	2	no	—
1379	C₄²	—	2	2	no	—
1380	C₄²	—	2	2	no	—
1381	C₄²	—	2	2	no	—
1382	C₄²	—	2	2	no	—
1383	C₄²	—	2	2	no	—
1384	C₄²	—	2	2	no	—
1385	C₄²	—	2	2	no	—
1386	C₄²	—	2	2	no	—
1387	C₄²	—	2	2	no	—
1388	C₄²	—	4	1	no	—
1389	C₄²	—	4	1	no	—
1390	C₄²	C₂×D₄×C₁₉	1	4	yes	—
1391	C₄²	C₂×D₄×C₁₉	1	4	yes	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1424	C₂³	C₂×#41×C₁₉	1	2	yes	—
1425	C₂³	C₂×#41×C₁₉	1	2	yes	—
1426	C₂³	C₂×#41×C₁₉	1	2	yes	—
1427	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
1428	Q₈	—	2	8	no	—
1429	Q₈	—	4	4	no	—
1430	D₄	—	2	8	no	—
1431	D₄	—	2	8	no	—
1432	D₄	—	2	8	no	—
1433	D₄	—	2	8	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	4	no	—
1437	D₄	—	4	4	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	4	4	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	8	no	—
1465	C₂×C₄	—	2	8	no	—
1466	C₂×C₄	—	2	8	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	4	4	no	—
1507	C₂×C₄	—	4	4	no	—
1508	C₂×C₄	—	4	4	no	—
1509	C₂×C₄	—	4	4	no	—
1510	C₂×C₄	—	4	4	no	—
1511	C₂×C₄	—	4	4	no	—
1512	C₂×C₄	—	4	4	no	—
1513	C₂×C₄	—	4	4	no	—
1514	C₂×C₄	—	4	4	no	—
1515	C₂×C₄	—	4	4	no	—
1516	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1517	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1518	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1519	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1520	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1521	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1522	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1523	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1524	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1525	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1526	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1527	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1528	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1529	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1530	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	2	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1567	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
1568	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
1569	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
1570	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
1571	C₂²	C₁₉×#585	1	1	yes	characteristic
1572	C₂²	C₁₉×#585	1	1	yes	characteristic
1573	C₄	—	2	2	no	—
1574	C₄	—	2	2	no	—
1575	C₄	—	2	2	no	—
1576	C₄	—	2	2	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	2	2	no	—
1579	C₄	—	2	2	no	—
1580	C₄	—	2	2	no	—
1581	C₄	—	2	2	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	C₁₉×#525	1	4	yes	—
1599	C₂	—	4	2	no	—
1600	C₂	—	4	2	no	—
1601	C₂	—	4	2	no	—
1602	C₂	—	4	2	no	—
1603	C₂	—	8	1	no	—
1604	C₂	C₂×C₁₉×#525	1	1	yes	characteristic
1605	C₂	C₁₉×#3444	1	1	yes	characteristic
1606	C₂	C₁₉×#3455	1	1	yes	characteristic
1607	C₂	D₄×#41×C₁₉	1	1	yes	characteristic
1608	C₂	D₄×#41×C₁₉	1	1	yes	characteristic
1609	C₂	C₁₉×#3475	1	1	yes	characteristic
1610	C₂	C₁₉×#3480	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₉	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₉
socle	C₂³×C₁₉	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#529	C₂	semidirect
2. C₂×C₄×#41×C₁₉	C₂	semidirect
3. C₁₉×#2469	C₂	semidirect
4. C₁₉×#2468	C₂	semidirect
5. C₁₉×#2467	C₂	semidirect
6. C₁₉×#2466	C₂	semidirect
7. C₁₉×#2465	C₂	semidirect
8. C₁₉×#2464	C₂	semidirect
9. C₁₉×#2463	C₂	semidirect
10. C₁₉×#2462	C₂	semidirect
11. C₁₉×#2461	C₂	semidirect
12. C₁₉×#2460	C₂	semidirect
13. C₁₉×#2459	C₂	semidirect
14. C₁₉×#2458	C₂	semidirect
15. C₁₉×#2457	C₂	semidirect
16. C₁₉×#2456	C₂	semidirect
17. C₁₉×#2456	C₂	semidirect
18. C₁₉×#2455	C₂	semidirect
19. C₁₉×#2396	C₂	semidirect
20. C₁₉×#2392	C₂	semidirect
21. C₁₉×#2388	C₂	semidirect
22. C₁₉×#2388	C₂	semidirect
23. C₄×C₁₉×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₁₉×#123	C₂	semidirect
25. C₄×C₁₉×#123	C₂	semidirect
26. C₄×C₁₉×#121	C₂	semidirect
27. C₁₉×#2298	C₂	semidirect
28. C₁₉×#2293	C₂	semidirect
29. C₁₉×#2290	C₂	semidirect
30. C₁₉×#2290	C₂	semidirect
31. C₄²×D₄×C₁₉	C₂	semidirect
250. C₁₉×#117	D₄	semidirect
521. C₄⋊C₄×C₁₉	#41	semidirect
563. C₂²⋊C₄×C₁₉	#41	semidirect
586. #34741	C₁₉	direct (N × H)
726. C₂×#529	C₂×C₁₉	semidirect
727. C₂×C₄×#41	C₂×C₁₉	semidirect
728. #2469	C₂×C₁₉	semidirect
729. #2468	C₂×C₁₉	semidirect
730. #2467	C₂×C₁₉	semidirect
731. #2466	C₂×C₁₉	semidirect
732. #2465	C₂×C₁₉	semidirect
733. #2464	C₂×C₁₉	semidirect
734. #2463	C₂×C₁₉	semidirect
735. #2462	C₂×C₁₉	semidirect
736. #2461	C₂×C₁₉	semidirect
737. #2460	C₂×C₁₉	semidirect
738. #2459	C₂×C₁₉	semidirect
739. #2458	C₂×C₁₉	semidirect
740. #2457	C₂×C₁₉	semidirect
741. #2456	C₂×C₁₉	semidirect
742. #2456	C₂×C₁₉	semidirect
743. #2455	C₂×C₁₉	semidirect
744. #2396	C₂×C₁₉	semidirect
745. #2392	C₂×C₁₉	semidirect
746. #2388	C₂×C₁₉	semidirect
747. #2388	C₂×C₁₉	semidirect
748. C₄×C₂²⋊Q₈	C₂×C₁₉	semidirect
749. C₄×#123	C₂×C₁₉	semidirect
750. C₄×#123	C₂×C₁₉	semidirect
751. C₄×#121	C₂×C₁₉	semidirect
752. #2298	C₂×C₁₉	semidirect
753. #2293	C₂×C₁₉	semidirect
754. #2290	C₂×C₁₉	semidirect
755. #2290	C₂×C₁₉	semidirect
756. C₄²×D₄	C₂×C₁₉	semidirect
1055. #117	D₄×C₁₉	semidirect
1190. C₁₉	#34741	direct (N × H)
1327. C₄⋊C₄	#41×C₁₉	semidirect
1369. C₂²⋊C₄	#41×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×#529	2
C₂×C₄×#41×C₁₉	2
C₁₉×#2469	2
C₁₉×#2468	2
C₁₉×#2467	2
C₁₉×#2466	2
C₁₉×#2465	2
C₁₉×#2464	2
C₁₉×#2463	2
C₁₉×#2462	2
C₁₉×#2461	2
C₁₉×#2460	2
C₁₉×#2459	2
C₁₉×#2458	2
C₁₉×#2457	2
C₁₉×#2456	2
C₁₉×#2455	2
C₁₉×#2396	2
C₁₉×#2392	2
C₁₉×#2388	2
C₄×C₁₉×C₂²⋊Q₈	2
C₄×C₁₉×#123	2
C₄×C₁₉×#121	2
C₁₉×#2298	2
C₁₉×#2293	2
C₁₉×#2290	2
C₄²×D₄×C₁₉	2
#34741	19

Subgroups — C19×#34741 #18040700

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#34741 #18040700