Subgroups — C₁₉×#62317 #18068276

Order 4864.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3541	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3352	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3349	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3344	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3337	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3327	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3315	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3270	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3270	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3202	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3190	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#3189	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₉×#3178	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₉×#3177	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#3063	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#3059	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#3056	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₉×#470	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#2933	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic
33	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
35	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
37	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
38	C₁₉×#563	—	2	1	no	—
39	C₁₉×#563	—	2	1	no	—
40	C₁₉×#563	—	2	1	no	—
41	C₁₉×#562	—	2	1	no	—
42	C₁₉×#556	C₂²	1	1	yes	characteristic
43	C₁₉×#554	—	2	1	no	—
44	C₁₉×#554	C₂²	1	1	yes	characteristic
45	C₁₉×#553	—	2	1	no	—
46	C₁₉×#553	C₂²	1	1	yes	characteristic
47	C₁₉×#552	C₂²	1	1	yes	characteristic
48	C₁₉×#552	C₂²	1	1	yes	characteristic
49	C₁₉×#552	C₂²	1	1	yes	characteristic
50	C₁₉×#552	C₂²	1	1	yes	characteristic
51	C₁₉×#552	C₂²	1	1	yes	characteristic
52	C₁₉×#551	—	2	1	no	—
53	C₁₉×#551	—	2	1	no	—
54	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
56	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
57	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
58	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
59	C₁₉×#548	C₂²	1	1	yes	characteristic
60	C₁₉×#548	C₂²	1	1	yes	characteristic
61	C₁₉×#547	C₂²	1	1	yes	characteristic
62	C₁₉×#544	—	2	1	no	—
63	C₁₉×#544	—	2	1	no	—
64	C₁₉×#542	—	2	1	no	—
65	C₁₉×#542	C₂²	1	1	yes	characteristic
66	C₁₉×#541	C₂²	1	1	yes	characteristic
67	C₁₉×#541	C₂²	1	1	yes	characteristic
68	C₁₉×#541	C₂²	1	1	yes	characteristic
69	C₁₉×#539	—	2	1	no	—
70	C₁₉×#539	—	2	1	no	—
71	C₁₉×#539	—	2	1	no	—
72	C₁₉×#538	—	2	1	no	—
73	C₁₉×#538	—	2	1	no	—
74	C₁₉×#537	C₂²	1	1	yes	characteristic
75	C₁₉×#536	C₂²	1	1	yes	characteristic
76	C₁₉×#536	C₂²	1	1	yes	characteristic
77	C₁₉×#536	C₂²	1	1	yes	characteristic
78	C₁₉×#525	C₂²	1	1	yes	characteristic
79	C₁₉×#525	C₂²	1	1	yes	characteristic
80	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
81	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
82	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
83	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
84	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
85	C₁₉×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₉×#494	C₂²	1	1	yes	characteristic, complemented
87	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
88	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
89	C₁₉×#488	C₂²	1	1	yes	characteristic, complemented
90	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
91	C₁₉×#485	C₂²	1	1	yes	characteristic
92	C₁₉×#485	C₂²	1	1	yes	characteristic
93	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#484	C₂²	1	1	yes	characteristic
99	C₁₉×#484	C₂²	1	1	yes	characteristic
100	C₁₉×#484	C₂²	1	1	yes	characteristic
101	C₁₉×#484	C₂²	1	1	yes	characteristic
102	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#483	C₂²	1	1	yes	characteristic
104	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
105	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
106	C₁₉×#480	C₂²	1	1	yes	characteristic
107	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
112	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#477	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
115	C₁₉×#470	C₂²	1	1	yes	characteristic
116	C₁₉×#470	C₂²	1	1	yes	characteristic
117	C₁₉×#470	C₂²	1	1	yes	characteristic
118	C₁₉×#470	C₂²	1	1	yes	characteristic
119	C₁₉×#470	C₂²	1	1	yes	characteristic
120	C₁₉×#470	C₂²	1	1	yes	characteristic
121	C₁₉×#470	C₂²	1	1	yes	characteristic
122	C₁₉×#470	C₂²	1	1	yes	characteristic
123	C₁₉×#470	C₂²	1	1	yes	characteristic
124	C₁₉×#470	C₂²	1	1	yes	characteristic
125	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
127	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#468	C₂²	1	1	yes	characteristic
129	C₁₉×#468	C₂²	1	1	yes	characteristic
130	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#467	C₂²	1	1	yes	characteristic
132	C₁₉×#467	C₂²	1	1	yes	characteristic
133	C₁₉×#467	C₂²	1	1	yes	characteristic
134	C₁₉×#467	C₂²	1	1	yes	characteristic
135	C₁₉×#467	C₂²	1	1	yes	characteristic
136	C₁₉×#467	C₂²	1	1	yes	characteristic
137	C₁₉×#467	C₂²	1	1	yes	characteristic
138	C₁₉×#467	C₂²	1	1	yes	characteristic
139	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
140	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
141	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
142	C₁₉×#465	C₂²	1	1	yes	characteristic
143	C₁₉×#465	C₂²	1	1	yes	characteristic
144	C₁₉×#465	C₂²	1	1	yes	characteristic
145	C₁₉×#465	C₂²	1	1	yes	characteristic
146	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
147	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
148	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
149	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
150	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
151	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
152	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
153	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
154	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
155	C₁₉×#452	C₂²	1	1	yes	characteristic
156	C₁₉×#452	C₂²	1	1	yes	characteristic
157	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
158	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
159	C₁₉×#451	C₂²	1	1	yes	characteristic
160	C₁₉×#451	C₂²	1	1	yes	characteristic
161	C₁₉×#451	C₂²	1	1	yes	characteristic
162	C₁₉×#451	C₂²	1	1	yes	characteristic
163	C₁₉×#451	C₂²	1	1	yes	characteristic
164	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
165	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
166	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
167	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
168	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
169	C₁₉×#448	C₂²	1	1	yes	characteristic
170	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
171	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
172	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
173	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
174	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
179	C₁₉×#436	C₂²	1	1	yes	characteristic
180	C₁₉×#436	C₂²	1	1	yes	characteristic
181	C₁₉×#435	C₂²	1	1	yes	characteristic
182	C₁₉×#435	C₂²	1	1	yes	characteristic
183	C₁₉×#435	C₂²	1	1	yes	characteristic
184	C₁₉×#435	C₂²	1	1	yes	characteristic
185	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
186	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
187	C₁₉×#428	C₂²	1	1	yes	characteristic
188	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
189	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic
191	C₁₉×#424	C₂²	1	1	yes	characteristic
192	C₁₉×#419	C₂²	1	1	yes	characteristic
193	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
194	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
195	C₁₉×#417	C₂²	1	1	yes	characteristic
196	C₁₉×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
198	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
199	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
200	C₁₉×#408	C₂²	1	1	yes	characteristic
201	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	C₁₉×#405	C₂²	1	1	yes	characteristic
203	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
213	C₁₉×#137	—	4	2	no	—
214	C₁₉×#137	—	4	2	no	—
215	C₂×Q₁₆×C₁₉	—	4	2	no	—
216	C₂×Q₁₆×C₁₉	—	4	2	no	—
217	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
227	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
228	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
233	C₁₉×#131	—	4	2	no	—
234	C₂×M₁₆×C₁₉	—	4	2	no	—
235	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
236	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
237	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
238	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
239	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
240	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
243	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₁₉×C₄⋊Q₈	—	2	1	no	—
248	C₁₉×C₄⋊Q₈	—	2	1	no	—
249	C₁₉×C₄⋊Q₈	—	2	1	no	—
250	C₁₉×C₄⋊Q₈	—	2	1	no	—
251	C₁₉×C₄⋊Q₈	—	2	1	no	—
252	C₁₉×C₄⋊Q₈	—	2	1	no	—
253	C₁₉×C₄⋊Q₈	—	2	1	no	—
254	C₁₉×C₄⋊Q₈	—	2	1	no	—
255	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₉×#126	—	2	1	no	—
260	C₁₉×#126	—	2	1	no	—
261	C₁₉×#126	—	2	1	no	—
262	C₁₉×#126	—	2	1	no	—
263	C₁₉×#126	—	2	1	no	—
264	C₁₉×#126	—	2	1	no	—
265	C₁₉×#126	—	2	1	no	—
266	C₁₉×#126	—	2	1	no	—
267	C₁₉×#126	—	2	1	no	—
268	C₁₉×#126	—	2	1	no	—
269	C₁₉×#126	—	2	1	no	—
270	C₁₉×#126	—	2	1	no	—
271	C₁₉×#126	—	2	1	no	—
272	C₁₉×#126	—	2	1	no	—
273	C₁₉×#126	—	2	1	no	—
274	C₁₉×#125	—	2	1	no	—
275	C₁₉×#125	—	2	1	no	—
276	C₁₉×#125	—	2	1	no	—
277	C₁₉×#125	—	2	1	no	—
278	C₁₉×#125	—	2	1	no	—
279	C₁₉×#125	—	2	1	no	—
280	C₁₉×#125	—	2	1	no	—
281	C₁₉×#125	—	2	1	no	—
282	C₁₉×#125	—	2	1	no	—
283	C₁₉×#125	—	2	1	no	—
284	C₁₉×#125	—	2	1	no	—
285	C₁₉×#125	—	2	1	no	—
286	C₁₉×#125	C₂³	1	1	yes	characteristic
287	C₁₉×#125	C₂³	1	1	yes	characteristic
288	C₁₉×#125	C₂³	1	1	yes	characteristic
289	C₁₉×#124	—	2	1	no	—
290	C₁₉×#124	—	2	1	no	—
291	C₁₉×#124	—	2	1	no	—
292	C₁₉×#124	—	2	1	no	—
293	C₁₉×#124	—	2	1	no	—
294	C₁₉×#124	—	2	1	no	—
295	C₁₉×#124	—	2	1	no	—
296	C₁₉×#124	C₂³	1	1	yes	characteristic
297	C₁₉×#123	—	2	1	no	—
298	C₁₉×#123	—	2	1	no	—
299	C₁₉×#123	—	2	1	no	—
300	C₁₉×#123	—	2	1	no	—
301	C₁₉×#123	—	2	1	no	—
302	C₁₉×#123	—	2	1	no	—
303	C₁₉×#123	—	2	1	no	—
304	C₁₉×#123	—	2	1	no	—
305	C₁₉×#123	—	2	1	no	—
306	C₁₉×#123	—	2	1	no	—
307	C₁₉×#123	—	2	1	no	—
308	C₁₉×#123	—	2	1	no	—
309	C₁₉×#123	—	2	1	no	—
310	C₁₉×#123	—	2	1	no	—
311	C₁₉×#123	—	2	1	no	—
312	C₁₉×#123	—	2	1	no	—
313	C₁₉×#123	D₄	1	1	yes	characteristic
314	C₁₉×#123	D₄	1	1	yes	characteristic
315	C₁₉×C₂²⋊Q₈	—	2	1	no	—
316	C₁₉×C₂²⋊Q₈	—	2	1	no	—
317	C₁₉×C₂²⋊Q₈	—	2	1	no	—
318	C₁₉×C₂²⋊Q₈	—	2	1	no	—
319	C₁₉×C₂²⋊Q₈	—	2	1	no	—
320	C₁₉×C₂²⋊Q₈	—	2	1	no	—
321	C₁₉×C₂²⋊Q₈	—	2	1	no	—
322	C₁₉×C₂²⋊Q₈	—	2	1	no	—
323	C₁₉×C₂²⋊Q₈	—	2	1	no	—
324	C₁₉×C₂²⋊Q₈	—	2	1	no	—
325	C₁₉×C₂²⋊Q₈	—	2	1	no	—
326	C₁₉×C₂²⋊Q₈	—	2	1	no	—
327	C₁₉×C₂²⋊Q₈	—	2	1	no	—
328	C₁₉×C₂²⋊Q₈	—	2	1	no	—
329	C₁₉×C₂²⋊Q₈	—	2	1	no	—
330	C₁₉×C₂²⋊Q₈	—	2	1	no	—
331	C₁₉×C₂²⋊Q₈	—	2	1	no	—
332	C₁₉×C₂²⋊Q₈	—	2	1	no	—
333	C₁₉×C₂²⋊Q₈	—	2	1	no	—
334	C₁₉×C₂²⋊Q₈	—	2	1	no	—
335	C₁₉×C₂²⋊Q₈	—	2	1	no	—
336	C₁₉×C₂²⋊Q₈	—	2	1	no	—
337	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
338	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
339	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
348	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
349	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
350	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
351	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
352	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
353	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
354	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
355	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
356	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
357	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
358	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
359	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
360	C₁₉×#121	—	2	1	no	—
361	C₁₉×#121	—	2	1	no	—
362	C₁₉×#121	—	2	1	no	—
363	C₁₉×#121	—	2	1	no	—
364	C₁₉×#121	—	2	1	no	—
365	C₁₉×#121	—	2	1	no	—
366	C₁₉×#121	—	2	1	no	—
367	C₁₉×#121	D₄	1	1	yes	characteristic
368	C₁₉×#121	D₄	1	1	yes	characteristic
369	C₁₉×#121	C₂³	1	1	yes	characteristic
370	C₁₉×#121	C₂³	1	1	yes	characteristic
371	C₁₉×#121	C₂³	1	1	yes	characteristic
372	C₁₉×#120	—	2	1	no	—
373	C₁₉×#120	D₄	1	1	yes	characteristic
374	C₁₉×#120	D₄	1	1	yes	characteristic
375	C₄×Q₈×C₁₉	—	2	1	no	—
376	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
377	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
378	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
379	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
380	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
381	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
382	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₁₉	—	2	1	no	—
384	C₄×D₄×C₁₉	—	2	1	no	—
385	C₄×D₄×C₁₉	—	2	1	no	—
386	C₄×D₄×C₁₉	—	2	1	no	—
387	C₄×D₄×C₁₉	—	2	1	no	—
388	C₄×D₄×C₁₉	—	2	1	no	—
389	C₄×D₄×C₁₉	—	2	1	no	—
390	C₄×D₄×C₁₉	—	2	1	no	—
391	C₄×D₄×C₁₉	—	2	1	no	—
392	C₄×D₄×C₁₉	—	2	1	no	—
393	C₄×D₄×C₁₉	—	2	1	no	—
394	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
399	C₁₉×#117	—	2	1	no	—
400	C₁₉×#117	—	2	1	no	—
401	C₁₉×#117	—	2	1	no	—
402	C₁₉×#117	—	2	1	no	—
403	C₁₉×#117	—	2	1	no	—
404	C₁₉×#117	C₂³	1	1	yes	characteristic
405	C₁₉×#117	C₂³	1	1	yes	characteristic
406	C₁₉×#117	C₂³	1	1	yes	characteristic
407	C₁₉×#117	C₂³	1	1	yes	characteristic
408	C₁₉×#117	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
411	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
412	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
413	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
417	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
420	C₁₉×#107	C₂³	1	1	yes	characteristic
421	C₁₉×#107	C₂³	1	1	yes	characteristic
422	C₁₉×#107	C₂³	1	1	yes	characteristic
423	C₁₉×#107	C₂³	1	1	yes	characteristic
424	C₁₉×#107	C₂³	1	1	yes	characteristic
425	C₁₉×#107	C₂³	1	1	yes	characteristic
426	C₁₉×#107	C₂³	1	1	yes	characteristic
427	C₁₉×#107	C₂³	1	1	yes	characteristic
428	C₁₉×#106	C₂³	1	1	yes	characteristic
429	C₁₉×#106	C₂³	1	1	yes	characteristic
430	C₁₉×#106	C₂³	1	1	yes	characteristic
431	C₁₉×#106	C₂³	1	1	yes	characteristic
432	C₁₉×#106	C₂³	1	1	yes	characteristic
433	C₁₉×#106	C₂³	1	1	yes	characteristic
434	C₁₉×#106	C₂³	1	1	yes	characteristic
435	C₁₉×#106	C₂³	1	1	yes	characteristic
436	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₉×#103	C₂³	1	1	yes	characteristic
441	C₁₉×#103	C₂³	1	1	yes	characteristic
442	C₁₉×#103	C₂³	1	1	yes	characteristic
443	C₁₉×#103	C₂³	1	1	yes	characteristic
444	C₁₉×#103	C₂³	1	1	yes	characteristic
445	C₁₉×#103	C₂³	1	1	yes	characteristic
446	C₁₉×#103	C₂³	1	1	yes	characteristic
447	C₁₉×#103	C₂³	1	1	yes	characteristic
448	C₁₉×#103	C₂³	1	1	yes	characteristic
449	C₁₉×#103	C₂³	1	1	yes	characteristic
450	C₁₉×#103	C₂³	1	1	yes	characteristic
451	C₁₉×#103	C₂³	1	1	yes	characteristic
452	C₁₉×#103	C₂³	1	1	yes	characteristic
453	C₁₉×#103	C₂³	1	1	yes	characteristic
454	C₁₉×#103	C₂³	1	1	yes	characteristic
455	C₁₉×#103	C₂³	1	1	yes	characteristic
456	C₁₉×#103	C₂³	1	1	yes	characteristic
457	C₁₉×#103	C₂³	1	1	yes	characteristic
458	C₁₉×#103	C₂³	1	1	yes	characteristic
459	C₁₉×#103	C₂³	1	1	yes	characteristic
460	C₁₉×#103	C₂³	1	1	yes	characteristic
461	C₁₉×#103	C₂³	1	1	yes	characteristic
462	C₁₉×#103	C₂³	1	1	yes	characteristic
463	C₁₉×#103	C₂³	1	1	yes	characteristic
464	C₁₉×#103	C₂³	1	1	yes	characteristic
465	C₁₉×#103	C₂³	1	1	yes	characteristic
466	C₁₉×#103	C₂³	1	1	yes	characteristic
467	C₁₉×#103	C₂³	1	1	yes	characteristic
468	C₁₉×#102	C₂³	1	1	yes	characteristic
469	C₁₉×#102	C₂³	1	1	yes	characteristic
470	C₁₉×#102	C₂³	1	1	yes	characteristic
471	C₁₉×#102	C₂³	1	1	yes	characteristic
472	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₉×#97	C₂³	1	1	yes	characteristic
481	C₁₉×#97	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
484	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
485	#41×C₁₉	—	4	1	no	—
486	#41×C₁₉	—	4	1	no	—
487	#41×C₁₉	—	4	1	no	—
488	#41×C₁₉	—	4	1	no	—
489	#41×C₁₉	—	4	1	no	—
490	#41×C₁₉	—	4	1	no	—
491	C₂×Q₈×C₁₉	—	2	1	no	—
492	C₂×Q₈×C₁₉	—	2	1	no	—
493	C₂×Q₈×C₁₉	—	2	1	no	—
494	C₂×Q₈×C₁₉	—	2	1	no	—
495	C₂×Q₈×C₁₉	—	2	1	no	—
496	C₂×Q₈×C₁₉	—	2	1	no	—
497	C₂×Q₈×C₁₉	—	2	1	no	—
498	C₂×Q₈×C₁₉	—	4	1	no	—
499	C₂×Q₈×C₁₉	—	4	1	no	—
500	C₂×Q₈×C₁₉	—	4	1	no	—
501	C₂×Q₈×C₁₉	—	4	1	no	—
502	C₂×Q₈×C₁₉	—	4	1	no	—
503	C₂×Q₈×C₁₉	—	4	1	no	—
504	C₂×Q₈×C₁₉	—	4	1	no	—
505	C₂×Q₈×C₁₉	—	4	1	no	—
506	C₂×Q₈×C₁₉	—	4	1	no	—
507	C₂×Q₈×C₁₉	—	4	1	no	—
508	C₂×Q₈×C₁₉	—	4	1	no	—
509	C₂×Q₈×C₁₉	—	4	1	no	—
510	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
511	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
515	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
516	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
517	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₉	—	2	1	no	—
519	C₂×D₄×C₁₉	—	2	1	no	—
520	C₂×D₄×C₁₉	—	2	1	no	—
521	C₂×D₄×C₁₉	—	2	1	no	—
522	C₂×D₄×C₁₉	—	2	1	no	—
523	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
524	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₉	—	2	1	no	—
532	C₂²×C₄×C₁₉	—	2	1	no	—
533	C₂²×C₄×C₁₉	—	2	1	no	—
534	C₂²×C₄×C₁₉	—	2	1	no	—
535	C₂²×C₄×C₁₉	—	2	1	no	—
536	C₂²×C₄×C₁₉	—	2	1	no	—
537	C₂²×C₄×C₁₉	—	2	1	no	—
538	C₂²×C₄×C₁₉	—	2	1	no	—
539	C₂²×C₄×C₁₉	—	2	1	no	—
540	C₂²×C₄×C₁₉	—	2	1	no	—
541	C₂²×C₄×C₁₉	—	2	1	no	—
542	C₂²×C₄×C₁₉	—	2	1	no	—
543	C₂²×C₄×C₁₉	—	2	1	no	—
544	C₂²×C₄×C₁₉	—	4	1	no	—
545	C₂²×C₄×C₁₉	—	4	1	no	—
546	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
549	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
554	Q₁₆×C₁₉	—	2	2	no	—
555	Q₁₆×C₁₉	—	2	2	no	—
556	Q₁₆×C₁₉	—	2	2	no	—
557	Q₁₆×C₁₉	—	4	1	no	—
558	Q₁₆×C₁₉	—	4	1	no	—
559	Q₁₆×C₁₉	—	4	1	no	—
560	Q₁₆×C₁₉	—	4	1	no	—
561	Q₁₆×C₁₉	—	4	1	no	—
562	Q₁₆×C₁₉	—	4	1	no	—
563	Q₁₆×C₁₉	—	4	1	no	—
564	Q₁₆×C₁₉	—	4	1	no	—
565	Q₁₆×C₁₉	—	4	1	no	—
566	SD₁₆×C₁₉	—	2	2	no	—
567	SD₁₆×C₁₉	—	4	1	no	—
568	SD₁₆×C₁₉	—	4	1	no	—
569	SD₁₆×C₁₉	—	4	1	no	—
570	M₁₆×C₁₉	—	2	2	no	—
571	M₁₆×C₁₉	—	2	2	no	—
572	M₁₆×C₁₉	—	2	2	no	—
573	M₁₆×C₁₉	—	4	1	no	—
574	M₁₆×C₁₉	—	4	1	no	—
575	M₁₆×C₁₉	—	4	1	no	—
576	C₂×C₈×C₁₉	—	2	2	no	—
577	C₂×C₈×C₁₉	—	2	2	no	—
578	C₂×C₈×C₁₉	—	4	1	no	—
579	C₂×C₈×C₁₉	—	4	1	no	—
580	C₂×C₈×C₁₉	—	4	1	no	—
581	C₂×C₈×C₁₉	—	4	1	no	—
582	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
590	C₄⋊C₄×C₁₉	—	2	1	no	—
591	C₄⋊C₄×C₁₉	—	2	1	no	—
592	C₄⋊C₄×C₁₉	—	2	1	no	—
593	C₄⋊C₄×C₁₉	—	2	1	no	—
594	C₄⋊C₄×C₁₉	—	2	1	no	—
595	C₄⋊C₄×C₁₉	—	2	1	no	—
596	C₄⋊C₄×C₁₉	—	2	1	no	—
597	C₄⋊C₄×C₁₉	—	2	1	no	—
598	C₄⋊C₄×C₁₉	—	2	1	no	—
599	C₄⋊C₄×C₁₉	—	2	1	no	—
600	C₄⋊C₄×C₁₉	—	2	1	no	—
601	C₄⋊C₄×C₁₉	—	2	1	no	—
602	C₄⋊C₄×C₁₉	—	2	1	no	—
603	C₄⋊C₄×C₁₉	—	2	1	no	—
604	C₄⋊C₄×C₁₉	—	2	1	no	—
605	C₄⋊C₄×C₁₉	—	2	1	no	—
606	C₄⋊C₄×C₁₉	—	2	1	no	—
607	C₄⋊C₄×C₁₉	—	2	1	no	—
608	C₄⋊C₄×C₁₉	—	2	1	no	—
609	C₄⋊C₄×C₁₉	—	2	1	no	—
610	C₄⋊C₄×C₁₉	—	2	1	no	—
611	C₄⋊C₄×C₁₉	—	2	1	no	—
612	C₄⋊C₄×C₁₉	—	2	1	no	—
613	C₄⋊C₄×C₁₉	—	2	1	no	—
614	C₄⋊C₄×C₁₉	—	2	1	no	—
615	C₄⋊C₄×C₁₉	—	2	1	no	—
616	C₄⋊C₄×C₁₉	—	2	1	no	—
617	C₄⋊C₄×C₁₉	—	2	1	no	—
618	C₄⋊C₄×C₁₉	—	2	1	no	—
619	C₄⋊C₄×C₁₉	—	2	1	no	—
620	C₄⋊C₄×C₁₉	—	2	1	no	—
621	C₄⋊C₄×C₁₉	—	2	1	no	—
622	C₄⋊C₄×C₁₉	—	2	1	no	—
623	C₄⋊C₄×C₁₉	—	2	1	no	—
624	C₄⋊C₄×C₁₉	—	2	1	no	—
625	C₄⋊C₄×C₁₉	—	2	1	no	—
626	C₄⋊C₄×C₁₉	—	2	1	no	—
627	C₄⋊C₄×C₁₉	—	2	1	no	—
628	C₄⋊C₄×C₁₉	—	2	1	no	—
629	C₄⋊C₄×C₁₉	—	2	1	no	—
630	C₄⋊C₄×C₁₉	—	2	1	no	—
631	C₄⋊C₄×C₁₉	—	2	1	no	—
632	C₄⋊C₄×C₁₉	—	2	1	no	—
633	C₄⋊C₄×C₁₉	—	2	1	no	—
634	C₄⋊C₄×C₁₉	—	2	1	no	—
635	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
649	C₂²⋊C₄×C₁₉	—	2	1	no	—
650	C₂²⋊C₄×C₁₉	—	2	1	no	—
651	C₂²⋊C₄×C₁₉	—	2	1	no	—
652	C₂²⋊C₄×C₁₉	—	2	1	no	—
653	C₂²⋊C₄×C₁₉	—	2	1	no	—
654	C₂²⋊C₄×C₁₉	—	2	1	no	—
655	C₂²⋊C₄×C₁₉	—	2	1	no	—
656	C₂²⋊C₄×C₁₉	—	2	1	no	—
657	C₂²⋊C₄×C₁₉	—	2	1	no	—
658	C₂²⋊C₄×C₁₉	—	2	1	no	—
659	C₂²⋊C₄×C₁₉	—	2	1	no	—
660	C₂²⋊C₄×C₁₉	—	2	1	no	—
661	C₂²⋊C₄×C₁₉	—	2	1	no	—
662	C₂²⋊C₄×C₁₉	—	2	1	no	—
663	C₂²⋊C₄×C₁₉	—	2	1	no	—
664	C₂²⋊C₄×C₁₉	—	2	1	no	—
665	C₂²⋊C₄×C₁₉	—	2	1	no	—
666	C₂²⋊C₄×C₁₉	—	2	1	no	—
667	C₂²⋊C₄×C₁₉	—	2	1	no	—
668	C₂²⋊C₄×C₁₉	—	2	1	no	—
669	C₂²⋊C₄×C₁₉	—	2	1	no	—
670	C₂²⋊C₄×C₁₉	—	2	1	no	—
671	C₂²⋊C₄×C₁₉	—	2	1	no	—
672	C₂²⋊C₄×C₁₉	—	2	1	no	—
673	C₂²⋊C₄×C₁₉	—	2	1	no	—
674	C₂²⋊C₄×C₁₉	—	2	1	no	—
675	C₂²⋊C₄×C₁₉	—	2	1	no	—
676	C₂²⋊C₄×C₁₉	—	2	1	no	—
677	C₂²⋊C₄×C₁₉	—	2	1	no	—
678	C₂²⋊C₄×C₁₉	—	2	1	no	—
679	C₂²⋊C₄×C₁₉	—	2	1	no	—
680	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
690	C₄²×C₁₉	—	2	1	no	—
691	C₄²×C₁₉	—	2	1	no	—
692	C₄²×C₁₉	—	2	1	no	—
693	C₄²×C₁₉	—	2	1	no	—
694	C₄²×C₁₉	—	2	1	no	—
695	C₄²×C₁₉	—	2	1	no	—
696	C₄²×C₁₉	—	2	1	no	—
697	C₄²×C₁₉	—	2	1	no	—
698	C₄²×C₁₉	—	2	1	no	—
699	C₄²×C₁₉	—	2	1	no	—
700	C₄²×C₁₉	—	2	1	no	—
701	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
702	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
703	#62317	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
704	C₂³×C₁₉	—	2	2	no	—
705	C₂³×C₁₉	—	2	1	no	—
706	C₂³×C₁₉	—	4	1	no	—
707	C₂³×C₁₉	—	4	1	no	—
708	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
709	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
710	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
711	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
712	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
713	Q₈×C₁₉	—	2	1	no	—
714	Q₈×C₁₉	—	2	1	no	—
715	Q₈×C₁₉	—	2	1	no	—
716	Q₈×C₁₉	—	2	1	no	—
717	Q₈×C₁₉	—	2	1	no	—
718	Q₈×C₁₉	—	2	1	no	—
719	Q₈×C₁₉	—	2	1	no	—
720	Q₈×C₁₉	—	2	1	no	—
721	Q₈×C₁₉	—	2	1	no	—
722	Q₈×C₁₉	—	2	1	no	—
723	Q₈×C₁₉	—	2	1	no	—
724	Q₈×C₁₉	—	2	1	no	—
725	Q₈×C₁₉	—	2	1	no	—
726	Q₈×C₁₉	—	2	1	no	—
727	Q₈×C₁₉	—	4	1	no	—
728	Q₈×C₁₉	—	8	1	no	—
729	Q₈×C₁₉	—	8	1	no	—
730	Q₈×C₁₉	—	8	1	no	—
731	Q₈×C₁₉	—	8	1	no	—
732	Q₈×C₁₉	—	8	1	no	—
733	Q₈×C₁₉	—	8	1	no	—
734	Q₈×C₁₉	—	8	1	no	—
735	D₄×C₁₉	—	2	2	no	—
736	D₄×C₁₉	—	2	2	no	—
737	D₄×C₁₉	—	2	1	no	—
738	D₄×C₁₉	—	2	1	no	—
739	D₄×C₁₉	—	4	1	no	—
740	D₄×C₁₉	—	4	1	no	—
741	D₄×C₁₉	—	4	1	no	—
742	D₄×C₁₉	—	4	1	no	—
743	D₄×C₁₉	—	4	1	no	—
744	D₄×C₁₉	—	4	2	no	—
745	D₄×C₁₉	—	8	1	no	—
746	D₄×C₁₉	—	8	1	no	—
747	D₄×C₁₉	—	8	1	no	—
748	D₄×C₁₉	—	8	1	no	—
749	C₂×C₄×C₁₉	—	2	1	no	—
750	C₂×C₄×C₁₉	—	2	1	no	—
751	C₂×C₄×C₁₉	—	2	1	no	—
752	C₂×C₄×C₁₉	—	2	1	no	—
753	C₂×C₄×C₁₉	—	2	1	no	—
754	C₂×C₄×C₁₉	—	2	1	no	—
755	C₂×C₄×C₁₉	—	2	1	no	—
756	C₂×C₄×C₁₉	—	2	1	no	—
757	C₂×C₄×C₁₉	—	2	1	no	—
758	C₂×C₄×C₁₉	—	2	1	no	—
759	C₂×C₄×C₁₉	—	2	1	no	—
760	C₂×C₄×C₁₉	—	2	1	no	—
761	C₂×C₄×C₁₉	—	2	1	no	—
762	C₂×C₄×C₁₉	—	2	1	no	—
763	C₂×C₄×C₁₉	—	2	1	no	—
764	C₂×C₄×C₁₉	—	2	1	no	—
765	C₂×C₄×C₁₉	—	2	1	no	—
766	C₂×C₄×C₁₉	—	2	1	no	—
767	C₂×C₄×C₁₉	—	2	1	no	—
768	C₂×C₄×C₁₉	—	2	1	no	—
769	C₂×C₄×C₁₉	—	2	1	no	—
770	C₂×C₄×C₁₉	—	2	1	no	—
771	C₂×C₄×C₁₉	—	2	1	no	—
772	C₂×C₄×C₁₉	—	2	1	no	—
773	C₂×C₄×C₁₉	—	2	1	no	—
774	C₂×C₄×C₁₉	—	4	1	no	—
775	C₂×C₄×C₁₉	—	4	1	no	—
776	C₂×C₄×C₁₉	—	4	1	no	—
777	C₂×C₄×C₁₉	—	4	2	no	—
778	C₂×C₄×C₁₉	—	4	2	no	—
779	C₂×C₄×C₁₉	—	8	1	no	—
780	C₂×C₄×C₁₉	—	8	1	no	—
781	C₂×C₄×C₁₉	—	8	1	no	—
782	C₂×C₄×C₁₉	—	8	1	no	—
783	C₂×C₄×C₁₉	—	8	1	no	—
784	C₂×C₄×C₁₉	—	8	1	no	—
785	C₂×C₄×C₁₉	—	8	1	no	—
786	C₂×C₄×C₁₉	—	8	1	no	—
787	C₂×C₄×C₁₉	—	8	1	no	—
788	C₂×C₄×C₁₉	—	8	1	no	—
789	C₂×C₄×C₁₉	—	8	1	no	—
790	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
800	C₈×C₁₉	—	2	1	no	—
801	C₈×C₁₉	—	2	1	no	—
802	C₈×C₁₉	—	2	1	no	—
803	C₈×C₁₉	—	2	1	no	—
804	C₈×C₁₉	—	2	1	no	—
805	C₈×C₁₉	—	2	1	no	—
806	C₈×C₁₉	—	2	1	no	—
807	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
808	#3541	C₂×C₁₉	1	1	yes	characteristic
809	#3538	C₂×C₁₉	1	1	yes	characteristic, complemented
810	#3352	C₂×C₁₉	1	1	yes	characteristic, complemented
811	#3349	C₂×C₁₉	1	1	yes	characteristic, complemented
812	#3344	C₂×C₁₉	1	1	yes	characteristic, complemented
813	#3337	C₂×C₁₉	1	1	yes	characteristic, complemented
814	#3328	C₂×C₁₉	1	1	yes	characteristic, complemented
815	#3327	C₂×C₁₉	1	1	yes	characteristic, complemented
816	#3320	C₂×C₁₉	1	1	yes	characteristic, complemented
817	#3315	C₂×C₁₉	1	1	yes	characteristic, complemented
818	#3312	C₂×C₁₉	1	1	yes	characteristic, complemented
819	#3312	C₂×C₁₉	1	1	yes	characteristic, complemented
820	#3300	C₂×C₁₉	1	1	yes	characteristic, complemented
821	#3299	C₂×C₁₉	1	1	yes	characteristic, complemented
822	D₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
823	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
824	#3270	C₂×C₁₉	1	1	yes	characteristic, complemented
825	#3270	C₂×C₁₉	1	1	yes	characteristic, complemented
826	#3261	C₂×C₁₉	1	1	yes	characteristic, complemented
827	#3258	C₂×C₁₉	1	1	yes	characteristic, complemented
828	#3202	C₂×C₁₉	1	1	yes	characteristic, complemented
829	#3201	C₂×C₁₉	1	1	yes	characteristic, complemented
830	#3190	C₂×C₁₉	1	1	yes	characteristic, complemented
831	#3189	C₂×C₁₉	1	1	yes	characteristic, complemented
832	#3178	C₂×C₁₉	1	1	yes	characteristic, complemented
833	#3177	C₂×C₁₉	1	1	yes	characteristic, complemented
834	#3063	C₂×C₁₉	1	1	yes	characteristic, complemented
835	#3059	C₂×C₁₉	1	1	yes	characteristic, complemented
836	#3056	C₂×C₁₉	1	1	yes	characteristic, complemented
837	C₂×#470	C₂×C₁₉	1	1	yes	characteristic, complemented
838	#2933	C₂×C₁₉	1	1	yes	characteristic, complemented
839	C₂²×C₁₉	—	2	1	no	—
840	C₂²×C₁₉	—	2	1	no	—
841	C₂²×C₁₉	—	2	1	no	—
842	C₂²×C₁₉	—	2	1	no	—
843	C₂²×C₁₉	—	2	1	no	—
844	C₂²×C₁₉	—	2	1	no	—
845	C₂²×C₁₉	—	2	1	no	—
846	C₂²×C₁₉	—	2	1	no	—
847	C₂²×C₁₉	—	2	1	no	—
848	C₂²×C₁₉	—	2	1	no	—
849	C₂²×C₁₉	—	2	1	no	—
850	C₂²×C₁₉	—	2	1	no	—
851	C₂²×C₁₉	—	2	1	no	—
852	C₂²×C₁₉	—	2	1	no	—
853	C₂²×C₁₉	—	4	1	no	—
854	C₂²×C₁₉	—	4	1	no	—
855	C₂²×C₁₉	—	4	1	no	—
856	C₂²×C₁₉	—	8	2	no	—
857	C₂²×C₁₉	#578	1	2	yes	—
858	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
859	C₄×C₁₉	—	2	1	no	—
860	C₄×C₁₉	—	2	1	no	—
861	C₄×C₁₉	—	2	1	no	—
862	C₄×C₁₉	—	2	1	no	—
863	C₄×C₁₉	—	2	1	no	—
864	C₄×C₁₉	—	2	1	no	—
865	C₄×C₁₉	—	2	1	no	—
866	C₄×C₁₉	—	2	1	no	—
867	C₄×C₁₉	—	2	1	no	—
868	C₄×C₁₉	—	4	1	no	—
869	C₄×C₁₉	—	4	1	no	—
870	C₄×C₁₉	—	4	1	no	—
871	C₄×C₁₉	—	4	1	no	—
872	C₄×C₁₉	—	4	1	no	—
873	C₄×C₁₉	—	4	1	no	—
874	C₄×C₁₉	—	4	1	no	—
875	C₄×C₁₉	—	4	1	no	—
876	C₄×C₁₉	—	4	1	no	—
877	C₄×C₁₉	—	4	1	no	—
878	C₄×C₁₉	—	4	1	no	—
879	C₄×C₁₉	—	4	1	no	—
880	C₄×C₁₉	—	4	1	no	—
881	C₄×C₁₉	—	4	1	no	—
882	C₄×C₁₉	—	4	1	no	—
883	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
884	C₄×C₁₉	#585	1	1	yes	characteristic
885	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic
886	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
887	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
888	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
889	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
890	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
891	#563	—	2	1	no	—
892	#563	—	2	1	no	—
893	#563	—	2	1	no	—
894	#562	—	2	1	no	—
895	#556	C₂²×C₁₉	1	1	yes	characteristic
896	#554	—	2	1	no	—
897	#554	C₂²×C₁₉	1	1	yes	characteristic
898	#553	—	2	1	no	—
899	#553	C₂²×C₁₉	1	1	yes	characteristic
900	#552	C₂²×C₁₉	1	1	yes	characteristic
901	#552	C₂²×C₁₉	1	1	yes	characteristic
902	#552	C₂²×C₁₉	1	1	yes	characteristic
903	#552	C₂²×C₁₉	1	1	yes	characteristic
904	#552	C₂²×C₁₉	1	1	yes	characteristic
905	#551	—	2	1	no	—
906	#551	—	2	1	no	—
907	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
908	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
909	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
910	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
911	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
912	#548	C₂²×C₁₉	1	1	yes	characteristic
913	#548	C₂²×C₁₉	1	1	yes	characteristic
914	#547	C₂²×C₁₉	1	1	yes	characteristic
915	#544	—	2	1	no	—
916	#544	—	2	1	no	—
917	#542	—	2	1	no	—
918	#542	C₂²×C₁₉	1	1	yes	characteristic
919	#541	C₂²×C₁₉	1	1	yes	characteristic
920	#541	C₂²×C₁₉	1	1	yes	characteristic
921	#541	C₂²×C₁₉	1	1	yes	characteristic
922	#539	—	2	1	no	—
923	#539	—	2	1	no	—
924	#539	—	2	1	no	—
925	#538	—	2	1	no	—
926	#538	—	2	1	no	—
927	#537	C₂²×C₁₉	1	1	yes	characteristic
928	#536	C₂²×C₁₉	1	1	yes	characteristic
929	#536	C₂²×C₁₉	1	1	yes	characteristic
930	#536	C₂²×C₁₉	1	1	yes	characteristic
931	#525	C₂²×C₁₉	1	1	yes	characteristic
932	#525	C₂²×C₁₉	1	1	yes	characteristic
933	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
934	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
935	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
936	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
937	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
938	#497	C₂²×C₁₉	1	1	yes	characteristic, complemented
939	#494	C₂²×C₁₉	1	1	yes	characteristic, complemented
940	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
941	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
942	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
943	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
944	#485	C₂²×C₁₉	1	1	yes	characteristic
945	#485	C₂²×C₁₉	1	1	yes	characteristic
946	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
947	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
948	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
949	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
950	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
951	#484	C₂²×C₁₉	1	1	yes	characteristic
952	#484	C₂²×C₁₉	1	1	yes	characteristic
953	#484	C₂²×C₁₉	1	1	yes	characteristic
954	#484	C₂²×C₁₉	1	1	yes	characteristic
955	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
956	#483	C₂²×C₁₉	1	1	yes	characteristic
957	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
958	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
959	#480	C₂²×C₁₉	1	1	yes	characteristic
960	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
961	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
962	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
963	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
964	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
965	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
966	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
967	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
968	#470	C₂²×C₁₉	1	1	yes	characteristic
969	#470	C₂²×C₁₉	1	1	yes	characteristic
970	#470	C₂²×C₁₉	1	1	yes	characteristic
971	#470	C₂²×C₁₉	1	1	yes	characteristic
972	#470	C₂²×C₁₉	1	1	yes	characteristic
973	#470	C₂²×C₁₉	1	1	yes	characteristic
974	#470	C₂²×C₁₉	1	1	yes	characteristic
975	#470	C₂²×C₁₉	1	1	yes	characteristic
976	#470	C₂²×C₁₉	1	1	yes	characteristic
977	#470	C₂²×C₁₉	1	1	yes	characteristic
978	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
979	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
980	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
981	#468	C₂²×C₁₉	1	1	yes	characteristic
982	#468	C₂²×C₁₉	1	1	yes	characteristic
983	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
984	#467	C₂²×C₁₉	1	1	yes	characteristic
985	#467	C₂²×C₁₉	1	1	yes	characteristic
986	#467	C₂²×C₁₉	1	1	yes	characteristic
987	#467	C₂²×C₁₉	1	1	yes	characteristic
988	#467	C₂²×C₁₉	1	1	yes	characteristic
989	#467	C₂²×C₁₉	1	1	yes	characteristic
990	#467	C₂²×C₁₉	1	1	yes	characteristic
991	#467	C₂²×C₁₉	1	1	yes	characteristic
992	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
993	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
994	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
995	#465	C₂²×C₁₉	1	1	yes	characteristic
996	#465	C₂²×C₁₉	1	1	yes	characteristic
997	#465	C₂²×C₁₉	1	1	yes	characteristic
998	#465	C₂²×C₁₉	1	1	yes	characteristic
999	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1002	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1003	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1004	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1005	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1006	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1007	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1008	#452	C₂²×C₁₉	1	1	yes	characteristic
1009	#452	C₂²×C₁₉	1	1	yes	characteristic
1010	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1011	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1012	#451	C₂²×C₁₉	1	1	yes	characteristic
1013	#451	C₂²×C₁₉	1	1	yes	characteristic
1014	#451	C₂²×C₁₉	1	1	yes	characteristic
1015	#451	C₂²×C₁₉	1	1	yes	characteristic
1016	#451	C₂²×C₁₉	1	1	yes	characteristic
1017	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1018	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1019	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1020	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1021	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1022	#448	C₂²×C₁₉	1	1	yes	characteristic
1023	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1024	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
1025	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
1026	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
1027	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1028	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1029	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1030	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1031	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1032	#436	C₂²×C₁₉	1	1	yes	characteristic
1033	#436	C₂²×C₁₉	1	1	yes	characteristic
1034	#435	C₂²×C₁₉	1	1	yes	characteristic
1035	#435	C₂²×C₁₉	1	1	yes	characteristic
1036	#435	C₂²×C₁₉	1	1	yes	characteristic
1037	#435	C₂²×C₁₉	1	1	yes	characteristic
1038	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
1039	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
1040	#428	C₂²×C₁₉	1	1	yes	characteristic
1041	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1042	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
1043	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic
1044	#424	C₂²×C₁₉	1	1	yes	characteristic
1045	#419	C₂²×C₁₉	1	1	yes	characteristic
1046	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1047	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1048	#417	C₂²×C₁₉	1	1	yes	characteristic
1049	#416	C₂²×C₁₉	1	1	yes	characteristic, complemented
1050	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
1051	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
1052	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
1053	#408	C₂²×C₁₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
1055	#405	C₂²×C₁₉	1	1	yes	characteristic
1056	C₂×C₁₉	—	2	2	no	—
1057	C₂×C₁₉	—	4	1	no	—
1058	C₂×C₁₉	—	4	1	no	—
1059	C₂×C₁₉	—	4	1	no	—
1060	C₂×C₁₉	—	4	1	no	—
1061	C₂×C₁₉	—	8	1	no	—
1062	C₂×C₁₉	#3496	1	1	yes	characteristic
1063	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
1064	C₂×C₁₉	#3586	1	1	yes	characteristic
1065	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1066	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1067	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1068	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1069	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1070	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1071	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1072	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1073	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1074	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1075	#137	—	4	2	no	—
1076	#137	—	4	2	no	—
1077	C₂×Q₁₆	—	4	2	no	—
1078	C₂×Q₁₆	—	4	2	no	—
1079	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1080	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1083	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1084	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1085	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1086	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1087	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1090	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1095	#131	—	4	2	no	—
1096	C₂×M₁₆	—	4	2	no	—
1097	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1098	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1099	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1100	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1101	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1103	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1104	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1105	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1106	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1107	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1109	C₄⋊Q₈	—	2	1	no	—
1110	C₄⋊Q₈	—	2	1	no	—
1111	C₄⋊Q₈	—	2	1	no	—
1112	C₄⋊Q₈	—	2	1	no	—
1113	C₄⋊Q₈	—	2	1	no	—
1114	C₄⋊Q₈	—	2	1	no	—
1115	C₄⋊Q₈	—	2	1	no	—
1116	C₄⋊Q₈	—	2	1	no	—
1117	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1118	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1119	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1120	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1121	#126	—	2	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	—	2	1	no	—
1133	#126	—	2	1	no	—
1134	#126	—	2	1	no	—
1135	#126	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	—	2	1	no	—
1139	#125	—	2	1	no	—
1140	#125	—	2	1	no	—
1141	#125	—	2	1	no	—
1142	#125	—	2	1	no	—
1143	#125	—	2	1	no	—
1144	#125	—	2	1	no	—
1145	#125	—	2	1	no	—
1146	#125	—	2	1	no	—
1147	#125	—	2	1	no	—
1148	#125	C₂³×C₁₉	1	1	yes	characteristic
1149	#125	C₂³×C₁₉	1	1	yes	characteristic
1150	#125	C₂³×C₁₉	1	1	yes	characteristic
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	2	1	no	—
1154	#124	—	2	1	no	—
1155	#124	—	2	1	no	—
1156	#124	—	2	1	no	—
1157	#124	—	2	1	no	—
1158	#124	C₂³×C₁₉	1	1	yes	characteristic
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	D₄×C₁₉	1	1	yes	characteristic
1176	#123	D₄×C₁₉	1	1	yes	characteristic
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1200	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1201	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1203	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1204	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1205	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1206	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1209	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1211	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1212	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1213	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	D₄×C₁₉	1	1	yes	characteristic
1230	#121	D₄×C₁₉	1	1	yes	characteristic
1231	#121	C₂³×C₁₉	1	1	yes	characteristic
1232	#121	C₂³×C₁₉	1	1	yes	characteristic
1233	#121	C₂³×C₁₉	1	1	yes	characteristic
1234	#120	—	2	1	no	—
1235	#120	D₄×C₁₉	1	1	yes	characteristic
1236	#120	D₄×C₁₉	1	1	yes	characteristic
1237	C₄×Q₈	—	2	1	no	—
1238	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1239	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1240	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1243	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1244	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	C₂³×C₁₉	1	1	yes	characteristic
1267	#117	C₂³×C₁₉	1	1	yes	characteristic
1268	#117	C₂³×C₁₉	1	1	yes	characteristic
1269	#117	C₂³×C₁₉	1	1	yes	characteristic
1270	#117	C₂³×C₁₉	1	1	yes	characteristic
1271	C₂×C₄⋊C₄	—	2	1	no	—
1272	C₂×C₄⋊C₄	—	2	1	no	—
1273	C₂×C₄⋊C₄	—	2	1	no	—
1274	C₂×C₄⋊C₄	—	2	1	no	—
1275	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1276	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1277	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1278	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1279	C₂×C₂²⋊C₄	—	2	1	no	—
1280	C₂×C₂²⋊C₄	—	2	1	no	—
1281	C₂×C₂²⋊C₄	—	2	1	no	—
1282	#107	C₂³×C₁₉	1	1	yes	characteristic
1283	#107	C₂³×C₁₉	1	1	yes	characteristic
1284	#107	C₂³×C₁₉	1	1	yes	characteristic
1285	#107	C₂³×C₁₉	1	1	yes	characteristic
1286	#107	C₂³×C₁₉	1	1	yes	characteristic
1287	#107	C₂³×C₁₉	1	1	yes	characteristic
1288	#107	C₂³×C₁₉	1	1	yes	characteristic
1289	#107	C₂³×C₁₉	1	1	yes	characteristic
1290	#106	C₂³×C₁₉	1	1	yes	characteristic
1291	#106	C₂³×C₁₉	1	1	yes	characteristic
1292	#106	C₂³×C₁₉	1	1	yes	characteristic
1293	#106	C₂³×C₁₉	1	1	yes	characteristic
1294	#106	C₂³×C₁₉	1	1	yes	characteristic
1295	#106	C₂³×C₁₉	1	1	yes	characteristic
1296	#106	C₂³×C₁₉	1	1	yes	characteristic
1297	#106	C₂³×C₁₉	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1302	#103	C₂³×C₁₉	1	1	yes	characteristic
1303	#103	C₂³×C₁₉	1	1	yes	characteristic
1304	#103	C₂³×C₁₉	1	1	yes	characteristic
1305	#103	C₂³×C₁₉	1	1	yes	characteristic
1306	#103	C₂³×C₁₉	1	1	yes	characteristic
1307	#103	C₂³×C₁₉	1	1	yes	characteristic
1308	#103	C₂³×C₁₉	1	1	yes	characteristic
1309	#103	C₂³×C₁₉	1	1	yes	characteristic
1310	#103	C₂³×C₁₉	1	1	yes	characteristic
1311	#103	C₂³×C₁₉	1	1	yes	characteristic
1312	#103	C₂³×C₁₉	1	1	yes	characteristic
1313	#103	C₂³×C₁₉	1	1	yes	characteristic
1314	#103	C₂³×C₁₉	1	1	yes	characteristic
1315	#103	C₂³×C₁₉	1	1	yes	characteristic
1316	#103	C₂³×C₁₉	1	1	yes	characteristic
1317	#103	C₂³×C₁₉	1	1	yes	characteristic
1318	#103	C₂³×C₁₉	1	1	yes	characteristic
1319	#103	C₂³×C₁₉	1	1	yes	characteristic
1320	#103	C₂³×C₁₉	1	1	yes	characteristic
1321	#103	C₂³×C₁₉	1	1	yes	characteristic
1322	#103	C₂³×C₁₉	1	1	yes	characteristic
1323	#103	C₂³×C₁₉	1	1	yes	characteristic
1324	#103	C₂³×C₁₉	1	1	yes	characteristic
1325	#103	C₂³×C₁₉	1	1	yes	characteristic
1326	#103	C₂³×C₁₉	1	1	yes	characteristic
1327	#103	C₂³×C₁₉	1	1	yes	characteristic
1328	#103	C₂³×C₁₉	1	1	yes	characteristic
1329	#103	C₂³×C₁₉	1	1	yes	characteristic
1330	#102	C₂³×C₁₉	1	1	yes	characteristic
1331	#102	C₂³×C₁₉	1	1	yes	characteristic
1332	#102	C₂³×C₁₉	1	1	yes	characteristic
1333	#102	C₂³×C₁₉	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1342	#97	C₂³×C₁₉	1	1	yes	characteristic
1343	#97	C₂³×C₁₉	1	1	yes	characteristic
1344	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1345	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1346	C₁₉	#62317	1	1	yes	characteristic, direct product factor, Sylow
1347	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
1348	#41	—	4	1	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	4	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	1	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	—	2	1	no	—
1361	C₂×Q₈	—	4	1	no	—
1362	C₂×Q₈	—	4	1	no	—
1363	C₂×Q₈	—	4	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×Q₈	—	4	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	—	4	1	no	—
1369	C₂×Q₈	—	4	1	no	—
1370	C₂×Q₈	—	4	1	no	—
1371	C₂×Q₈	—	4	1	no	—
1372	C₂×Q₈	—	4	1	no	—
1373	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1374	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1375	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1376	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1379	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1380	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1387	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1388	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1389	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1390	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1391	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1392	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1393	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	4	1	no	—
1408	C₂²×C₄	—	4	1	no	—
1409	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1410	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1411	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1414	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1415	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1416	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1417	Q₁₆	—	2	2	no	—
1418	Q₁₆	—	2	2	no	—
1419	Q₁₆	—	2	2	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	4	1	no	—
1422	Q₁₆	—	4	1	no	—
1423	Q₁₆	—	4	1	no	—
1424	Q₁₆	—	4	1	no	—
1425	Q₁₆	—	4	1	no	—
1426	Q₁₆	—	4	1	no	—
1427	Q₁₆	—	4	1	no	—
1428	Q₁₆	—	4	1	no	—
1429	SD₁₆	—	2	2	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	—	4	1	no	—
1432	SD₁₆	—	4	1	no	—
1433	M₁₆	—	2	2	no	—
1434	M₁₆	—	2	2	no	—
1435	M₁₆	—	2	2	no	—
1436	M₁₆	—	4	1	no	—
1437	M₁₆	—	4	1	no	—
1438	M₁₆	—	4	1	no	—
1439	C₂×C₈	—	2	2	no	—
1440	C₂×C₈	—	2	2	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	—	4	1	no	—
1443	C₂×C₈	—	4	1	no	—
1444	C₂×C₈	—	4	1	no	—
1445	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1450	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1451	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1452	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1507	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1508	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1510	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1511	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1548	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1549	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1565	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1566	C₂³	—	2	2	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	4	1	no	—
1569	C₂³	—	4	1	no	—
1570	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1571	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1572	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1573	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1574	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1575	Q₈	—	2	1	no	—
1576	Q₈	—	2	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	4	1	no	—
1590	Q₈	—	8	1	no	—
1591	Q₈	—	8	1	no	—
1592	Q₈	—	8	1	no	—
1593	Q₈	—	8	1	no	—
1594	Q₈	—	8	1	no	—
1595	Q₈	—	8	1	no	—
1596	Q₈	—	8	1	no	—
1597	D₄	—	2	2	no	—
1598	D₄	—	2	2	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	1	no	—
1605	D₄	—	4	1	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	1	no	—
1639	C₂×C₄	—	4	2	no	—
1640	C₂×C₄	—	4	2	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	—	8	1	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1654	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1655	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1656	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1657	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1658	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1659	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1660	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1661	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	—	2	1	no	—
1666	C₈	—	2	1	no	—
1667	C₈	—	2	1	no	—
1668	C₈	—	2	1	no	—
1669	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	2	1	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	1	no	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	8	2	no	—
1688	C₂²	C₁₉×#578	1	2	yes	—
1689	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1715	C₄	C₁₉×#585	1	1	yes	characteristic
1716	C₂	—	2	2	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	1	no	—
1719	C₂	—	4	1	no	—
1720	C₂	—	4	1	no	—
1721	C₂	—	8	1	no	—
1722	C₂	C₁₉×#3496	1	1	yes	characteristic
1723	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
1724	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#3541	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#525 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3538	C₂	semidirect
3. C₁₉×#3352	C₂	semidirect
4. C₁₉×#3349	C₂	semidirect
5. C₁₉×#3344	C₂	semidirect
6. C₁₉×#3337	C₂	semidirect
7. C₁₉×#3328	C₂	semidirect
8. C₁₉×#3327	C₂	semidirect
9. C₁₉×#3320	C₂	semidirect
10. C₁₉×#3315	C₂	semidirect
11. C₁₉×#3312	C₂	semidirect
12. C₁₉×#3312	C₂	semidirect
13. C₁₉×#3300	C₂	semidirect
14. C₁₉×#3299	C₂	semidirect
15. D₄×Q₁₆×C₁₉	C₂	semidirect
16. C₁₉×#3276	C₂	semidirect
17. C₁₉×#3270	C₂	semidirect
18. C₁₉×#3270	C₂	semidirect
19. C₁₉×#3261	C₂	semidirect
20. C₁₉×#3258	C₂	semidirect
21. C₁₉×#3202	C₂	semidirect
22. C₁₉×#3201	C₂	semidirect
23. C₁₉×#3190	C₂	semidirect
24. C₁₉×#3189	C₂	semidirect
25. C₁₉×#3178	C₂	semidirect
26. C₁₉×#3177	C₂	semidirect
27. C₁₉×#3063	C₂	semidirect
28. C₁₉×#3059	C₂	semidirect
29. C₁₉×#3056	C₂	semidirect
30. C₂×C₁₉×#470	C₂	semidirect
31. C₁₉×#2933	C₂	semidirect
33. C₂×C₁₉×#137	C₂²	semidirect
35. C₂²×Q₁₆×C₁₉	C₂²	semidirect
83. C₁₉×#501	C₂²	semidirect
84. C₁₉×#499	C₂²	semidirect
85. C₁₉×#497	C₂²	semidirect
86. C₁₉×#494	C₂²	semidirect
87. C₁₉×#491	C₂²	semidirect
88. C₁₉×#491	C₂²	semidirect
89. C₁₉×#488	C₂²	semidirect
90. C₁₉×#487	C₂²	semidirect
93. C₁₉×#485	C₂²	semidirect
94. C₁₉×#485	C₂²	semidirect
95. C₁₉×#485	C₂²	semidirect
96. C₁₉×#485	C₂²	semidirect
97. C₁₉×#485	C₂²	semidirect
102. C₁₉×#484	C₂²	semidirect
104. C₁₉×#483	C₂²	semidirect
105. C₁₉×#482	C₂²	semidirect
107. C₁₉×#479	C₂²	semidirect
108. C₁₉×#479	C₂²	semidirect
109. C₁₉×#479	C₂²	semidirect
110. C₁₉×#479	C₂²	semidirect
111. C₁₉×#479	C₂²	semidirect
112. C₁₉×#478	C₂²	semidirect
113. C₁₉×#477	C₂²	semidirect
114. C₁₉×#475	C₂²	semidirect
125. C₁₉×#470	C₂²	semidirect
126. C₁₉×#470	C₂²	semidirect
127. C₁₉×#470	C₂²	semidirect
130. C₁₉×#468	C₂²	semidirect
139. C₁₉×#467	C₂²	semidirect
140. C₁₉×#467	C₂²	semidirect
141. C₁₉×#467	C₂²	semidirect
146. C₁₉×#465	C₂²	semidirect
147. C₁₉×#464	C₂²	semidirect
148. C₁₉×#464	C₂²	semidirect
149. C₁₉×#462	C₂²	semidirect
150. C₁₉×#462	C₂²	semidirect
151. C₁₉×#462	C₂²	semidirect
152. C₁₉×#462	C₂²	semidirect
153. C₁₉×#462	C₂²	semidirect
154. C₁₉×#461	C₂²	semidirect
157. C₁₉×#452	C₂²	semidirect
158. C₁₉×#452	C₂²	semidirect
164. C₁₉×#451	C₂²	semidirect
165. C₁₉×#451	C₂²	semidirect
166. C₁₉×#451	C₂²	semidirect
167. C₁₉×#451	C₂²	semidirect
168. C₁₉×#451	C₂²	semidirect
170. C₁₉×#448	C₂²	semidirect
171. C₁₉×#441	C₂²	semidirect
172. C₁₉×#441	C₂²	semidirect
173. C₁₉×#441	C₂²	semidirect
174. C₁₉×#440	C₂²	semidirect
175. C₄×Q₁₆×C₁₉	C₂²	semidirect
176. C₄×Q₁₆×C₁₉	C₂²	semidirect
177. C₄×Q₁₆×C₁₉	C₂²	semidirect
178. C₄×SD₁₆×C₁₉	C₂²	semidirect
188. C₁₉×#428	C₂²	semidirect
189. C₁₉×#427	C₂²	semidirect
193. C₁₉×#419	C₂²	semidirect
194. C₁₉×#419	C₂²	semidirect
196. C₁₉×#416	C₂²	semidirect
199. C₂×C₁₉×#103	C₂²	semidirect
703. #62317	C₁₉	direct (N × H)
809. #3538	C₂×C₁₉	semidirect
810. #3352	C₂×C₁₉	semidirect
811. #3349	C₂×C₁₉	semidirect
812. #3344	C₂×C₁₉	semidirect
813. #3337	C₂×C₁₉	semidirect
814. #3328	C₂×C₁₉	semidirect
815. #3327	C₂×C₁₉	semidirect
816. #3320	C₂×C₁₉	semidirect
817. #3315	C₂×C₁₉	semidirect
818. #3312	C₂×C₁₉	semidirect
819. #3312	C₂×C₁₉	semidirect
820. #3300	C₂×C₁₉	semidirect
821. #3299	C₂×C₁₉	semidirect
822. D₄×Q₁₆	C₂×C₁₉	semidirect
823. #3276	C₂×C₁₉	semidirect
824. #3270	C₂×C₁₉	semidirect
825. #3270	C₂×C₁₉	semidirect
826. #3261	C₂×C₁₉	semidirect
827. #3258	C₂×C₁₉	semidirect
828. #3202	C₂×C₁₉	semidirect
829. #3201	C₂×C₁₉	semidirect
830. #3190	C₂×C₁₉	semidirect
831. #3189	C₂×C₁₉	semidirect
832. #3178	C₂×C₁₉	semidirect
833. #3177	C₂×C₁₉	semidirect
834. #3063	C₂×C₁₉	semidirect
835. #3059	C₂×C₁₉	semidirect
836. #3056	C₂×C₁₉	semidirect
837. C₂×#470	C₂×C₁₉	semidirect
838. #2933	C₂×C₁₉	semidirect
886. C₂×#137	C₂²×C₁₉	semidirect
888. C₂²×Q₁₆	C₂²×C₁₉	semidirect
936. #501	C₂²×C₁₉	semidirect
937. #499	C₂²×C₁₉	semidirect
938. #497	C₂²×C₁₉	semidirect
939. #494	C₂²×C₁₉	semidirect
940. #491	C₂²×C₁₉	semidirect
941. #491	C₂²×C₁₉	semidirect
942. #488	C₂²×C₁₉	semidirect
943. #487	C₂²×C₁₉	semidirect
946. #485	C₂²×C₁₉	semidirect
947. #485	C₂²×C₁₉	semidirect
948. #485	C₂²×C₁₉	semidirect
949. #485	C₂²×C₁₉	semidirect
950. #485	C₂²×C₁₉	semidirect
955. #484	C₂²×C₁₉	semidirect
957. #483	C₂²×C₁₉	semidirect
958. #482	C₂²×C₁₉	semidirect
960. #479	C₂²×C₁₉	semidirect
961. #479	C₂²×C₁₉	semidirect
962. #479	C₂²×C₁₉	semidirect
963. #479	C₂²×C₁₉	semidirect
964. #479	C₂²×C₁₉	semidirect
965. #478	C₂²×C₁₉	semidirect
966. #477	C₂²×C₁₉	semidirect
967. #475	C₂²×C₁₉	semidirect
978. #470	C₂²×C₁₉	semidirect
979. #470	C₂²×C₁₉	semidirect
980. #470	C₂²×C₁₉	semidirect
983. #468	C₂²×C₁₉	semidirect
992. #467	C₂²×C₁₉	semidirect
993. #467	C₂²×C₁₉	semidirect
994. #467	C₂²×C₁₉	semidirect
999. #465	C₂²×C₁₉	semidirect
1000. #464	C₂²×C₁₉	semidirect
1001. #464	C₂²×C₁₉	semidirect
1002. #462	C₂²×C₁₉	semidirect
1003. #462	C₂²×C₁₉	semidirect
1004. #462	C₂²×C₁₉	semidirect
1005. #462	C₂²×C₁₉	semidirect
1006. #462	C₂²×C₁₉	semidirect
1007. #461	C₂²×C₁₉	semidirect
1010. #452	C₂²×C₁₉	semidirect
1011. #452	C₂²×C₁₉	semidirect
1017. #451	C₂²×C₁₉	semidirect
1018. #451	C₂²×C₁₉	semidirect
1019. #451	C₂²×C₁₉	semidirect
1020. #451	C₂²×C₁₉	semidirect
1021. #451	C₂²×C₁₉	semidirect
1023. #448	C₂²×C₁₉	semidirect
1024. #441	C₂²×C₁₉	semidirect
1025. #441	C₂²×C₁₉	semidirect
1026. #441	C₂²×C₁₉	semidirect
1027. #440	C₂²×C₁₉	semidirect
1028. C₄×Q₁₆	C₂²×C₁₉	semidirect
1029. C₄×Q₁₆	C₂²×C₁₉	semidirect
1030. C₄×Q₁₆	C₂²×C₁₉	semidirect
1031. C₄×SD₁₆	C₂²×C₁₉	semidirect
1041. #428	C₂²×C₁₉	semidirect
1042. #427	C₂²×C₁₉	semidirect
1046. #419	C₂²×C₁₉	semidirect
1047. #419	C₂²×C₁₉	semidirect
1049. #416	C₂²×C₁₉	semidirect
1052. C₂×#103	C₂²×C₁₉	semidirect
1346. C₁₉	#62317	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#3541	2
C₁₉×#3538	2
C₁₉×#3352	2
C₁₉×#3349	2
C₁₉×#3344	2
C₁₉×#3337	2
C₁₉×#3328	2
C₁₉×#3327	2
C₁₉×#3320	2
C₁₉×#3315	2
C₁₉×#3312	2
C₁₉×#3300	2
C₁₉×#3299	2
D₄×Q₁₆×C₁₉	2
C₁₉×#3276	2
C₁₉×#3270	2
C₁₉×#3261	2
C₁₉×#3258	2
C₁₉×#3202	2
C₁₉×#3201	2
C₁₉×#3190	2
C₁₉×#3189	2
C₁₉×#3178	2
C₁₉×#3177	2
C₁₉×#3063	2
C₁₉×#3059	2
C₁₉×#3056	2
C₂×C₁₉×#470	2
C₁₉×#2933	2
#62317	19

Subgroups — C19×#62317 #18068276

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62317 #18068276