Subgroups — C₁₉×#62307 #18068266

Order 4864.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3542	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3348	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3343	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3336	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3329	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3312	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3298	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3296	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×SD₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3201	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3200	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3190	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#3187	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₉×#3178	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₉×#3174	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#3063	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#3057	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#3056	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₉×#468	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, complemented
33	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
35	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
37	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#563	—	2	1	no	—
39	C₁₉×#563	—	2	1	no	—
40	C₁₉×#562	—	2	1	no	—
41	C₁₉×#560	—	2	1	no	—
42	C₁₉×#555	C₂²	1	1	yes	characteristic
43	C₁₉×#553	C₂²	1	1	yes	characteristic
44	C₁₉×#552	C₂²	1	1	yes	characteristic
45	C₁₉×#552	C₂²	1	1	yes	characteristic
46	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#551	—	2	1	no	—
50	C₁₉×#551	—	2	1	no	—
51	C₁₉×#551	—	2	1	no	—
52	C₁₉×#550	C₂²	1	1	yes	characteristic
53	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
56	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#547	C₂²	1	1	yes	characteristic
58	C₁₉×#546	—	2	1	no	—
59	C₁₉×#546	C₂²	1	1	yes	characteristic
60	C₁₉×#546	C₂²	1	1	yes	characteristic
61	D₄²×C₁₉	C₂²	1	1	yes	characteristic
62	C₁₉×#544	—	2	1	no	—
63	C₁₉×#544	—	2	1	no	—
64	C₁₉×#542	C₂²	1	1	yes	characteristic
65	C₁₉×#541	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#541	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×#540	—	2	1	no	—
68	C₁₉×#540	C₂²	1	1	yes	characteristic
69	C₁₉×#539	—	2	1	no	—
70	C₁₉×#539	—	2	1	no	—
71	C₁₉×#538	—	2	1	no	—
72	C₁₉×#537	C₂²	1	1	yes	characteristic
73	C₁₉×#536	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#536	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#535	—	2	1	no	—
76	C₁₉×#535	C₂²	1	1	yes	characteristic
77	C₁₉×#534	—	2	1	no	—
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, complemented
81	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₁₉×#121	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×#492	C₂²	1	1	yes	characteristic, complemented
87	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
88	C₁₉×#490	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, complemented
92	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
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×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
99	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
100	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
101	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
102	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
104	C₁₉×#481	C₂²	1	1	yes	characteristic
105	C₁₉×#481	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×#478	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#478	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, complemented
116	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
117	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
118	C₁₉×#468	C₂²	1	1	yes	characteristic
119	C₁₉×#468	C₂²	1	1	yes	characteristic
120	C₁₉×#468	C₂²	1	1	yes	characteristic
121	C₁₉×#468	C₂²	1	1	yes	characteristic
122	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
123	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
124	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
125	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
127	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
133	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
134	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
135	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
136	C₁₉×#465	C₂²	1	1	yes	characteristic
137	C₁₉×#465	C₂²	1	1	yes	characteristic
138	C₁₉×#465	C₂²	1	1	yes	characteristic
139	C₁₉×#465	C₂²	1	1	yes	characteristic
140	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
141	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
142	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
143	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
144	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
145	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
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×#461	C₂²	1	1	yes	characteristic, complemented
151	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
152	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
153	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
154	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
155	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
156	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
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, complemented
160	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
161	C₁₉×#450	C₂²	1	1	yes	characteristic
162	C₁₉×#450	C₂²	1	1	yes	characteristic
163	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
164	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
165	C₁₉×#448	C₂²	1	1	yes	characteristic
166	C₁₉×#448	C₂²	1	1	yes	characteristic
167	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
168	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
169	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
170	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
171	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
172	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
173	C₁₉×#440	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×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×SD₁₆×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, complemented
180	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
181	C₁₉×#435	C₂²	1	1	yes	characteristic
182	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
183	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
184	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
185	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
186	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
187	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
188	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
189	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
191	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
192	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
193	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
194	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
195	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
196	C₁₉×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
200	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₉	—	2	1	no	—
204	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
206	C₂×#41×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×D₄×C₁₉	—	2	1	no	—
212	C₂²×D₄×C₁₉	—	2	1	no	—
213	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
216	C₁₉×#137	—	4	2	no	—
217	C₁₉×#137	—	4	2	no	—
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×SD₁₆×C₁₉	—	4	2	no	—
223	C₂×SD₁₆×C₁₉	—	4	2	no	—
224	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×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	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
236	C₁₉×#131	—	4	2	no	—
237	C₂×M₁₆×C₁₉	—	4	2	no	—
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	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
242	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×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	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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×#127	—	2	1	no	—
260	C₁₉×#127	—	2	1	no	—
261	C₁₉×#127	C₂³	1	1	yes	characteristic
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×#125	—	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	C₂³	1	1	yes	characteristic
283	C₁₉×#125	C₂³	1	1	yes	characteristic
284	C₁₉×#125	C₂³	1	1	yes	characteristic
285	C₁₉×#124	—	2	1	no	—
286	C₁₉×#124	—	2	1	no	—
287	C₁₉×#124	—	2	1	no	—
288	C₁₉×#124	—	2	1	no	—
289	C₁₉×#124	—	2	1	no	—
290	C₁₉×#124	—	2	1	no	—
291	C₁₉×#124	C₂³	1	1	yes	characteristic
292	C₁₉×#123	—	2	1	no	—
293	C₁₉×#123	—	2	1	no	—
294	C₁₉×#123	—	2	1	no	—
295	C₁₉×#123	—	2	1	no	—
296	C₁₉×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
311	C₁₉×#123	D₄	1	1	yes	characteristic
312	C₁₉×C₂²⋊Q₈	—	2	1	no	—
313	C₁₉×C₂²⋊Q₈	—	2	1	no	—
314	C₁₉×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
328	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
329	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₉×C₂²⋊Q₈	C₂³	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×#121	—	2	1	no	—
345	C₁₉×#121	—	2	1	no	—
346	C₁₉×#121	—	2	1	no	—
347	C₁₉×#121	—	2	1	no	—
348	C₁₉×#121	—	2	1	no	—
349	C₁₉×#121	—	2	1	no	—
350	C₁₉×#121	—	2	1	no	—
351	C₁₉×#121	—	2	1	no	—
352	C₁₉×#121	—	2	1	no	—
353	C₁₉×#121	—	2	1	no	—
354	C₁₉×#121	—	2	1	no	—
355	C₁₉×#121	—	2	1	no	—
356	C₁₉×#121	—	2	1	no	—
357	C₁₉×#121	—	2	1	no	—
358	C₁₉×#121	D₄	1	1	yes	characteristic
359	C₁₉×#121	D₄	1	1	yes	characteristic
360	C₁₉×#121	C₂³	1	1	yes	characteristic
361	C₁₉×#121	C₂³	1	1	yes	characteristic
362	C₁₉×#121	C₂³	1	1	yes	characteristic
363	C₁₉×#121	C₂³	1	1	yes	characteristic
364	C₁₉×#121	C₂³	1	1	yes	characteristic
365	C₁₉×#121	C₂³	1	1	yes	characteristic
366	C₁₉×#121	C₂³	1	1	yes	characteristic
367	C₁₉×#121	C₂³	1	1	yes	characteristic
368	C₁₉×#121	C₂³	1	1	yes	characteristic
369	C₁₉×#120	—	2	1	no	—
370	C₁₉×#120	—	2	1	no	—
371	C₁₉×#120	—	2	1	no	—
372	C₁₉×#120	—	2	1	no	—
373	C₁₉×#120	—	2	1	no	—
374	C₁₉×#120	—	2	1	no	—
375	C₁₉×#120	—	2	1	no	—
376	C₁₉×#120	D₄	1	1	yes	characteristic
377	C₁₉×#120	D₄	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	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
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	C₁₉×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
412	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
415	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
416	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
461	C₁₉×#102	C₂³	1	1	yes	characteristic
462	C₁₉×#102	C₂³	1	1	yes	characteristic
463	C₁₉×#102	C₂³	1	1	yes	characteristic
464	C₁₉×#102	C₂³	1	1	yes	characteristic
465	C₁₉×#102	C₂³	1	1	yes	characteristic
466	C₁₉×#102	C₂³	1	1	yes	characteristic
467	C₁₉×#102	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	—	2	1	no	—
485	C₂⁴×C₁₉	—	2	1	no	—
486	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
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	#41×C₁₉	—	4	1	no	—
492	#41×C₁₉	—	4	1	no	—
493	#41×C₁₉	—	8	2	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	—	2	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	C₂×D₄	1	1	yes	characteristic
508	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₉	—	2	1	no	—
514	C₂×D₄×C₁₉	—	2	1	no	—
515	C₂×D₄×C₁₉	—	2	1	no	—
516	C₂×D₄×C₁₉	—	2	1	no	—
517	C₂×D₄×C₁₉	—	2	1	no	—
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	—	2	1	no	—
524	C₂×D₄×C₁₉	—	2	1	no	—
525	C₂×D₄×C₁₉	—	2	1	no	—
526	C₂×D₄×C₁₉	—	2	1	no	—
527	C₂×D₄×C₁₉	—	2	1	no	—
528	C₂×D₄×C₁₉	—	4	1	no	—
529	C₂×D₄×C₁₉	—	4	1	no	—
530	C₂×D₄×C₁₉	—	4	1	no	—
531	C₂×D₄×C₁₉	—	4	1	no	—
532	C₂×D₄×C₁₉	—	8	2	no	—
533	C₂×D₄×C₁₉	—	8	2	no	—
534	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
535	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
537	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
538	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
540	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
541	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
542	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
543	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₉	—	2	1	no	—
545	C₂²×C₄×C₁₉	—	2	1	no	—
546	C₂²×C₄×C₁₉	—	2	1	no	—
547	C₂²×C₄×C₁₉	—	2	1	no	—
548	C₂²×C₄×C₁₉	—	2	1	no	—
549	C₂²×C₄×C₁₉	—	2	1	no	—
550	C₂²×C₄×C₁₉	—	2	1	no	—
551	C₂²×C₄×C₁₉	—	2	1	no	—
552	C₂²×C₄×C₁₉	—	2	1	no	—
553	C₂²×C₄×C₁₉	—	2	1	no	—
554	C₂²×C₄×C₁₉	—	2	1	no	—
555	C₂²×C₄×C₁₉	—	2	1	no	—
556	C₂²×C₄×C₁₉	—	2	1	no	—
557	C₂²×C₄×C₁₉	—	4	1	no	—
558	C₂²×C₄×C₁₉	—	4	1	no	—
559	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
561	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
562	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
567	Q₁₆×C₁₉	—	2	2	no	—
568	Q₁₆×C₁₉	—	4	1	no	—
569	Q₁₆×C₁₉	—	4	1	no	—
570	Q₁₆×C₁₉	—	4	1	no	—
571	SD₁₆×C₁₉	—	2	2	no	—
572	SD₁₆×C₁₉	—	2	2	no	—
573	SD₁₆×C₁₉	—	2	2	no	—
574	SD₁₆×C₁₉	—	4	1	no	—
575	SD₁₆×C₁₉	—	4	1	no	—
576	SD₁₆×C₁₉	—	4	1	no	—
577	SD₁₆×C₁₉	—	4	1	no	—
578	SD₁₆×C₁₉	—	4	1	no	—
579	SD₁₆×C₁₉	—	4	1	no	—
580	SD₁₆×C₁₉	—	4	1	no	—
581	SD₁₆×C₁₉	—	4	1	no	—
582	SD₁₆×C₁₉	—	4	1	no	—
583	M₁₆×C₁₉	—	2	2	no	—
584	M₁₆×C₁₉	—	2	2	no	—
585	M₁₆×C₁₉	—	2	2	no	—
586	M₁₆×C₁₉	—	4	1	no	—
587	M₁₆×C₁₉	—	4	1	no	—
588	M₁₆×C₁₉	—	4	1	no	—
589	C₂×C₈×C₁₉	—	2	2	no	—
590	C₂×C₈×C₁₉	—	2	2	no	—
591	C₂×C₈×C₁₉	—	4	1	no	—
592	C₂×C₈×C₁₉	—	4	1	no	—
593	C₂×C₈×C₁₉	—	4	1	no	—
594	C₂×C₈×C₁₉	—	4	1	no	—
595	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
636	C₄⋊C₄×C₁₉	—	2	1	no	—
637	C₄⋊C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₁₉	C₂×D₄	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	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
650	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
651	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
681	C₂²⋊C₄×C₁₉	—	2	1	no	—
682	C₂²⋊C₄×C₁₉	—	2	1	no	—
683	C₂²⋊C₄×C₁₉	—	2	1	no	—
684	C₂²⋊C₄×C₁₉	—	2	1	no	—
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	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
702	C₄²×C₁₉	—	2	1	no	—
703	C₄²×C₁₉	—	2	1	no	—
704	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
705	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
706	#62307	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
707	C₂³×C₁₉	—	2	2	no	—
708	C₂³×C₁₉	—	2	1	no	—
709	C₂³×C₁₉	—	2	1	no	—
710	C₂³×C₁₉	—	2	1	no	—
711	C₂³×C₁₉	—	4	1	no	—
712	C₂³×C₁₉	—	4	1	no	—
713	C₂³×C₁₉	—	4	2	no	—
714	C₂³×C₁₉	—	8	1	no	—
715	C₂³×C₁₉	—	8	1	no	—
716	C₂³×C₁₉	—	8	1	no	—
717	C₂³×C₁₉	—	8	1	no	—
718	C₂³×C₁₉	—	8	1	no	—
719	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
720	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
721	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
722	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
724	Q₈×C₁₉	—	2	1	no	—
725	Q₈×C₁₉	—	2	1	no	—
726	Q₈×C₁₉	—	2	1	no	—
727	Q₈×C₁₉	—	2	1	no	—
728	Q₈×C₁₉	—	2	1	no	—
729	Q₈×C₁₉	—	2	1	no	—
730	Q₈×C₁₉	—	2	1	no	—
731	Q₈×C₁₉	—	2	1	no	—
732	Q₈×C₁₉	—	2	1	no	—
733	Q₈×C₁₉	—	2	1	no	—
734	Q₈×C₁₉	—	4	1	no	—
735	Q₈×C₁₉	—	8	1	no	—
736	Q₈×C₁₉	—	8	1	no	—
737	Q₈×C₁₉	—	8	1	no	—
738	Q₈×C₁₉	—	8	1	no	—
739	Q₈×C₁₉	—	8	1	no	—
740	D₄×C₁₉	—	2	2	no	—
741	D₄×C₁₉	—	2	2	no	—
742	D₄×C₁₉	—	2	1	no	—
743	D₄×C₁₉	—	2	1	no	—
744	D₄×C₁₉	—	2	1	no	—
745	D₄×C₁₉	—	2	1	no	—
746	D₄×C₁₉	—	2	1	no	—
747	D₄×C₁₉	—	2	1	no	—
748	D₄×C₁₉	—	4	1	no	—
749	D₄×C₁₉	—	4	1	no	—
750	D₄×C₁₉	—	4	1	no	—
751	D₄×C₁₉	—	4	1	no	—
752	D₄×C₁₉	—	4	1	no	—
753	D₄×C₁₉	—	4	2	no	—
754	D₄×C₁₉	—	8	1	no	—
755	D₄×C₁₉	—	8	1	no	—
756	D₄×C₁₉	—	8	1	no	—
757	D₄×C₁₉	—	8	1	no	—
758	D₄×C₁₉	—	8	1	no	—
759	D₄×C₁₉	—	8	1	no	—
760	D₄×C₁₉	—	8	1	no	—
761	D₄×C₁₉	—	8	1	no	—
762	D₄×C₁₉	—	8	1	no	—
763	D₄×C₁₉	—	8	1	no	—
764	D₄×C₁₉	—	8	1	no	—
765	D₄×C₁₉	—	8	1	no	—
766	D₄×C₁₉	—	8	1	no	—
767	D₄×C₁₉	—	8	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	—	2	1	no	—
775	C₂×C₄×C₁₉	—	2	1	no	—
776	C₂×C₄×C₁₉	—	2	1	no	—
777	C₂×C₄×C₁₉	—	2	1	no	—
778	C₂×C₄×C₁₉	—	2	1	no	—
779	C₂×C₄×C₁₉	—	2	1	no	—
780	C₂×C₄×C₁₉	—	2	1	no	—
781	C₂×C₄×C₁₉	—	2	1	no	—
782	C₂×C₄×C₁₉	—	2	1	no	—
783	C₂×C₄×C₁₉	—	2	1	no	—
784	C₂×C₄×C₁₉	—	2	1	no	—
785	C₂×C₄×C₁₉	—	2	1	no	—
786	C₂×C₄×C₁₉	—	2	1	no	—
787	C₂×C₄×C₁₉	—	2	1	no	—
788	C₂×C₄×C₁₉	—	2	1	no	—
789	C₂×C₄×C₁₉	—	2	1	no	—
790	C₂×C₄×C₁₉	—	2	1	no	—
791	C₂×C₄×C₁₉	—	4	1	no	—
792	C₂×C₄×C₁₉	—	4	1	no	—
793	C₂×C₄×C₁₉	—	4	1	no	—
794	C₂×C₄×C₁₉	—	4	2	no	—
795	C₂×C₄×C₁₉	—	4	2	no	—
796	C₂×C₄×C₁₉	—	4	2	no	—
797	C₂×C₄×C₁₉	—	8	1	no	—
798	C₂×C₄×C₁₉	—	8	1	no	—
799	C₂×C₄×C₁₉	—	8	1	no	—
800	C₂×C₄×C₁₉	—	8	1	no	—
801	C₂×C₄×C₁₉	—	8	1	no	—
802	C₂×C₄×C₁₉	—	8	1	no	—
803	C₂×C₄×C₁₉	—	8	1	no	—
804	C₂×C₄×C₁₉	—	8	1	no	—
805	C₂×C₄×C₁₉	—	8	1	no	—
806	C₂×C₄×C₁₉	—	8	1	no	—
807	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
817	C₈×C₁₉	—	2	1	no	—
818	C₈×C₁₉	—	2	1	no	—
819	C₈×C₁₉	—	2	1	no	—
820	C₈×C₁₉	—	2	1	no	—
821	C₈×C₁₉	—	2	1	no	—
822	C₈×C₁₉	—	2	1	no	—
823	C₈×C₁₉	—	2	1	no	—
824	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
825	#3542	C₂×C₁₉	1	1	yes	characteristic
826	#3538	C₂×C₁₉	1	1	yes	characteristic, complemented
827	#3351	C₂×C₁₉	1	1	yes	characteristic, complemented
828	#3348	C₂×C₁₉	1	1	yes	characteristic, complemented
829	#3343	C₂×C₁₉	1	1	yes	characteristic, complemented
830	#3336	C₂×C₁₉	1	1	yes	characteristic, complemented
831	#3329	C₂×C₁₉	1	1	yes	characteristic, complemented
832	#3323	C₂×C₁₉	1	1	yes	characteristic, complemented
833	#3320	C₂×C₁₉	1	1	yes	characteristic, complemented
834	#3317	C₂×C₁₉	1	1	yes	characteristic, complemented
835	#3312	C₂×C₁₉	1	1	yes	characteristic, complemented
836	#3310	C₂×C₁₉	1	1	yes	characteristic, complemented
837	#3298	C₂×C₁₉	1	1	yes	characteristic, complemented
838	#3296	C₂×C₁₉	1	1	yes	characteristic, complemented
839	D₄×SD₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
840	#3278	C₂×C₁₉	1	1	yes	characteristic, complemented
841	#3266	C₂×C₁₉	1	1	yes	characteristic, complemented
842	#3266	C₂×C₁₉	1	1	yes	characteristic, complemented
843	#3260	C₂×C₁₉	1	1	yes	characteristic, complemented
844	#3258	C₂×C₁₉	1	1	yes	characteristic, complemented
845	#3201	C₂×C₁₉	1	1	yes	characteristic, complemented
846	#3200	C₂×C₁₉	1	1	yes	characteristic, complemented
847	#3190	C₂×C₁₉	1	1	yes	characteristic, complemented
848	#3187	C₂×C₁₉	1	1	yes	characteristic, complemented
849	#3178	C₂×C₁₉	1	1	yes	characteristic, complemented
850	#3174	C₂×C₁₉	1	1	yes	characteristic, complemented
851	#3063	C₂×C₁₉	1	1	yes	characteristic, complemented
852	#3057	C₂×C₁₉	1	1	yes	characteristic, complemented
853	#3056	C₂×C₁₉	1	1	yes	characteristic, complemented
854	C₂×#468	C₂×C₁₉	1	1	yes	characteristic, complemented
855	#2933	C₂×C₁₉	1	1	yes	characteristic, complemented
856	C₂²×C₁₉	—	2	1	no	—
857	C₂²×C₁₉	—	2	1	no	—
858	C₂²×C₁₉	—	2	1	no	—
859	C₂²×C₁₉	—	2	1	no	—
860	C₂²×C₁₉	—	2	1	no	—
861	C₂²×C₁₉	—	2	1	no	—
862	C₂²×C₁₉	—	2	1	no	—
863	C₂²×C₁₉	—	2	1	no	—
864	C₂²×C₁₉	—	2	1	no	—
865	C₂²×C₁₉	—	2	1	no	—
866	C₂²×C₁₉	—	2	1	no	—
867	C₂²×C₁₉	—	2	1	no	—
868	C₂²×C₁₉	—	2	1	no	—
869	C₂²×C₁₉	—	2	1	no	—
870	C₂²×C₁₉	—	4	1	no	—
871	C₂²×C₁₉	—	4	1	no	—
872	C₂²×C₁₉	—	4	1	no	—
873	C₂²×C₁₉	—	4	1	no	—
874	C₂²×C₁₉	—	4	1	no	—
875	C₂²×C₁₉	—	4	1	no	—
876	C₂²×C₁₉	—	4	1	no	—
877	C₂²×C₁₉	—	4	1	no	—
878	C₂²×C₁₉	—	4	1	no	—
879	C₂²×C₁₉	—	8	2	no	—
880	C₂²×C₁₉	—	16	2	no	—
881	C₂²×C₁₉	—	16	2	no	—
882	C₂²×C₁₉	#577	1	2	yes	—
883	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
884	C₄×C₁₉	—	2	1	no	—
885	C₄×C₁₉	—	2	1	no	—
886	C₄×C₁₉	—	2	1	no	—
887	C₄×C₁₉	—	2	1	no	—
888	C₄×C₁₉	—	2	1	no	—
889	C₄×C₁₉	—	2	1	no	—
890	C₄×C₁₉	—	2	1	no	—
891	C₄×C₁₉	—	2	1	no	—
892	C₄×C₁₉	—	2	1	no	—
893	C₄×C₁₉	—	4	1	no	—
894	C₄×C₁₉	—	4	1	no	—
895	C₄×C₁₉	—	4	1	no	—
896	C₄×C₁₉	—	4	1	no	—
897	C₄×C₁₉	—	4	1	no	—
898	C₄×C₁₉	—	4	1	no	—
899	C₄×C₁₉	—	4	1	no	—
900	C₄×C₁₉	—	4	1	no	—
901	C₄×C₁₉	—	4	1	no	—
902	C₄×C₁₉	—	4	1	no	—
903	C₄×C₁₉	—	4	1	no	—
904	C₄×C₁₉	—	4	1	no	—
905	C₄×C₁₉	—	4	1	no	—
906	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
907	C₄×C₁₉	#585	1	1	yes	characteristic
908	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
909	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
910	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
911	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
912	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
913	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
914	#563	—	2	1	no	—
915	#563	—	2	1	no	—
916	#562	—	2	1	no	—
917	#560	—	2	1	no	—
918	#555	C₂²×C₁₉	1	1	yes	characteristic
919	#553	C₂²×C₁₉	1	1	yes	characteristic
920	#552	C₂²×C₁₉	1	1	yes	characteristic
921	#552	C₂²×C₁₉	1	1	yes	characteristic
922	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
923	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
924	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
925	#551	—	2	1	no	—
926	#551	—	2	1	no	—
927	#551	—	2	1	no	—
928	#550	C₂²×C₁₉	1	1	yes	characteristic
929	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
930	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
931	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
932	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
933	#547	C₂²×C₁₉	1	1	yes	characteristic
934	#546	—	2	1	no	—
935	#546	C₂²×C₁₉	1	1	yes	characteristic
936	#546	C₂²×C₁₉	1	1	yes	characteristic
937	D₄²	C₂²×C₁₉	1	1	yes	characteristic
938	#544	—	2	1	no	—
939	#544	—	2	1	no	—
940	#542	C₂²×C₁₉	1	1	yes	characteristic
941	#541	C₂²×C₁₉	1	1	yes	characteristic, complemented
942	#541	C₂²×C₁₉	1	1	yes	characteristic, complemented
943	#540	—	2	1	no	—
944	#540	C₂²×C₁₉	1	1	yes	characteristic
945	#539	—	2	1	no	—
946	#539	—	2	1	no	—
947	#538	—	2	1	no	—
948	#537	C₂²×C₁₉	1	1	yes	characteristic
949	#536	C₂²×C₁₉	1	1	yes	characteristic, complemented
950	#536	C₂²×C₁₉	1	1	yes	characteristic, complemented
951	#535	—	2	1	no	—
952	#535	C₂²×C₁₉	1	1	yes	characteristic
953	#534	—	2	1	no	—
954	#525	C₂²×C₁₉	1	1	yes	characteristic
955	#525	C₂²×C₁₉	1	1	yes	characteristic
956	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
957	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
958	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
959	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
960	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
961	#497	C₂²×C₁₉	1	1	yes	characteristic, complemented
962	#492	C₂²×C₁₉	1	1	yes	characteristic, complemented
963	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
964	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
965	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
966	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
967	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
968	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
969	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
970	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
971	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
972	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
973	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
974	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
975	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
976	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
977	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
978	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
979	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
980	#481	C₂²×C₁₉	1	1	yes	characteristic
981	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
982	#480	C₂²×C₁₉	1	1	yes	characteristic
983	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
984	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
985	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
986	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
987	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
988	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
989	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
990	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
991	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
992	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
993	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
994	#468	C₂²×C₁₉	1	1	yes	characteristic
995	#468	C₂²×C₁₉	1	1	yes	characteristic
996	#468	C₂²×C₁₉	1	1	yes	characteristic
997	#468	C₂²×C₁₉	1	1	yes	characteristic
998	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
999	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1000	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1001	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1002	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1003	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1004	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1005	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1006	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1007	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1008	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1009	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1010	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1011	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1012	#465	C₂²×C₁₉	1	1	yes	characteristic
1013	#465	C₂²×C₁₉	1	1	yes	characteristic
1014	#465	C₂²×C₁₉	1	1	yes	characteristic
1015	#465	C₂²×C₁₉	1	1	yes	characteristic
1016	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1017	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1018	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1019	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1020	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1021	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1022	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1023	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1024	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1025	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1026	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1027	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1028	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1029	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1030	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1031	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1032	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1033	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1034	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1035	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1036	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1037	#450	C₂²×C₁₉	1	1	yes	characteristic
1038	#450	C₂²×C₁₉	1	1	yes	characteristic
1039	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1040	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1041	#448	C₂²×C₁₉	1	1	yes	characteristic
1042	#448	C₂²×C₁₉	1	1	yes	characteristic
1043	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1044	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1045	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1046	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1047	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
1048	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1049	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1050	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1051	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1052	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1053	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1054	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1055	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1056	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1057	#435	C₂²×C₁₉	1	1	yes	characteristic
1058	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1059	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1060	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1061	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
1062	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1063	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1064	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1065	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
1066	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
1067	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
1068	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1069	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1070	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
1071	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1072	#416	C₂²×C₁₉	1	1	yes	characteristic, complemented
1073	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
1074	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
1075	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
1076	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
1077	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1078	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
1079	C₂×C₁₉	—	2	2	no	—
1080	C₂×C₁₉	—	4	1	no	—
1081	C₂×C₁₉	—	4	1	no	—
1082	C₂×C₁₉	—	4	1	no	—
1083	C₂×C₁₉	—	4	1	no	—
1084	C₂×C₁₉	—	8	1	no	—
1085	C₂×C₁₉	—	8	1	no	—
1086	C₂×C₁₉	—	8	1	no	—
1087	C₂×C₁₉	#3496	1	1	yes	characteristic
1088	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
1089	C₂×C₁₉	#3586	1	1	yes	characteristic
1090	C₂×#41	—	2	1	no	—
1091	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1092	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1093	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1094	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1095	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1096	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1097	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1098	C₂²×D₄	—	2	1	no	—
1099	C₂²×D₄	—	2	1	no	—
1100	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1101	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1102	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1103	#137	—	4	2	no	—
1104	#137	—	4	2	no	—
1105	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1106	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1107	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1108	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1109	C₂×SD₁₆	—	4	2	no	—
1110	C₂×SD₁₆	—	4	2	no	—
1111	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1112	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1123	#131	—	4	2	no	—
1124	C₂×M₁₆	—	4	2	no	—
1125	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1126	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1127	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1128	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1129	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1130	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1131	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1132	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1133	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1134	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1135	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1136	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1137	C₄⋊Q₈	—	2	1	no	—
1138	C₄⋊Q₈	—	2	1	no	—
1139	C₄⋊Q₈	—	2	1	no	—
1140	C₄⋊Q₈	—	2	1	no	—
1141	C₄⋊Q₈	—	2	1	no	—
1142	C₄⋊Q₈	—	2	1	no	—
1143	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1144	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1145	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1146	#127	—	2	1	no	—
1147	#127	—	2	1	no	—
1148	#127	C₂³×C₁₉	1	1	yes	characteristic
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#126	—	2	1	no	—
1154	#126	—	2	1	no	—
1155	#126	—	2	1	no	—
1156	#126	—	2	1	no	—
1157	#126	—	2	1	no	—
1158	#126	—	2	1	no	—
1159	#126	—	2	1	no	—
1160	#125	—	2	1	no	—
1161	#125	—	2	1	no	—
1162	#125	—	2	1	no	—
1163	#125	—	2	1	no	—
1164	#125	—	2	1	no	—
1165	#125	—	2	1	no	—
1166	#125	—	2	1	no	—
1167	#125	—	2	1	no	—
1168	#125	—	2	1	no	—
1169	#125	C₂³×C₁₉	1	1	yes	characteristic
1170	#125	C₂³×C₁₉	1	1	yes	characteristic
1171	#125	C₂³×C₁₉	1	1	yes	characteristic
1172	#124	—	2	1	no	—
1173	#124	—	2	1	no	—
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	2	1	no	—
1178	#124	C₂³×C₁₉	1	1	yes	characteristic
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	D₄×C₁₉	1	1	yes	characteristic
1198	#123	D₄×C₁₉	1	1	yes	characteristic
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	—	2	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1215	C₂²⋊Q₈	D₄×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	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1226	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1227	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1228	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1229	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1230	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	D₄×C₁₉	1	1	yes	characteristic
1246	#121	D₄×C₁₉	1	1	yes	characteristic
1247	#121	C₂³×C₁₉	1	1	yes	characteristic
1248	#121	C₂³×C₁₉	1	1	yes	characteristic
1249	#121	C₂³×C₁₉	1	1	yes	characteristic
1250	#121	C₂³×C₁₉	1	1	yes	characteristic
1251	#121	C₂³×C₁₉	1	1	yes	characteristic
1252	#121	C₂³×C₁₉	1	1	yes	characteristic
1253	#121	C₂³×C₁₉	1	1	yes	characteristic
1254	#121	C₂³×C₁₉	1	1	yes	characteristic
1255	#121	C₂³×C₁₉	1	1	yes	characteristic
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	D₄×C₁₉	1	1	yes	characteristic
1264	#120	D₄×C₁₉	1	1	yes	characteristic
1265	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1266	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1267	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1268	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1269	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1279	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1280	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1281	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1282	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1283	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1284	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1285	#117	—	2	1	no	—
1286	#117	—	2	1	no	—
1287	#117	—	2	1	no	—
1288	#117	—	2	1	no	—
1289	#117	—	2	1	no	—
1290	#117	—	2	1	no	—
1291	#117	C₂³×C₁₉	1	1	yes	characteristic
1292	#117	C₂³×C₁₉	1	1	yes	characteristic
1293	#117	C₂³×C₁₉	1	1	yes	characteristic
1294	#117	C₂³×C₁₉	1	1	yes	characteristic
1295	#117	C₂³×C₁₉	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	—	2	1	no	—
1297	C₂×C₄⋊C₄	—	2	1	no	—
1298	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1299	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1300	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1301	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1302	C₂×C₂²⋊C₄	—	2	1	no	—
1303	C₂×C₂²⋊C₄	—	2	1	no	—
1304	C₂×C₂²⋊C₄	—	2	1	no	—
1305	C₂×C₂²⋊C₄	—	2	1	no	—
1306	C₂×C₂²⋊C₄	—	2	1	no	—
1307	#107	C₂³×C₁₉	1	1	yes	characteristic
1308	#107	C₂³×C₁₉	1	1	yes	characteristic
1309	#107	C₂³×C₁₉	1	1	yes	characteristic
1310	#107	C₂³×C₁₉	1	1	yes	characteristic
1311	#107	C₂³×C₁₉	1	1	yes	characteristic
1312	#107	C₂³×C₁₉	1	1	yes	characteristic
1313	#107	C₂³×C₁₉	1	1	yes	characteristic
1314	#107	C₂³×C₁₉	1	1	yes	characteristic
1315	#106	C₂³×C₁₉	1	1	yes	characteristic
1316	#106	C₂³×C₁₉	1	1	yes	characteristic
1317	#106	C₂³×C₁₉	1	1	yes	characteristic
1318	#106	C₂³×C₁₉	1	1	yes	characteristic
1319	#106	C₂³×C₁₉	1	1	yes	characteristic
1320	#106	C₂³×C₁₉	1	1	yes	characteristic
1321	#106	C₂³×C₁₉	1	1	yes	characteristic
1322	#106	C₂³×C₁₉	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1326	C₄⋊C₈	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	#103	C₂³×C₁₉	1	1	yes	characteristic
1331	#103	C₂³×C₁₉	1	1	yes	characteristic
1332	#103	C₂³×C₁₉	1	1	yes	characteristic
1333	#103	C₂³×C₁₉	1	1	yes	characteristic
1334	#103	C₂³×C₁₉	1	1	yes	characteristic
1335	#103	C₂³×C₁₉	1	1	yes	characteristic
1336	#103	C₂³×C₁₉	1	1	yes	characteristic
1337	#103	C₂³×C₁₉	1	1	yes	characteristic
1338	#103	C₂³×C₁₉	1	1	yes	characteristic
1339	#103	C₂³×C₁₉	1	1	yes	characteristic
1340	#103	C₂³×C₁₉	1	1	yes	characteristic
1341	#103	C₂³×C₁₉	1	1	yes	characteristic
1342	#103	C₂³×C₁₉	1	1	yes	characteristic
1343	#103	C₂³×C₁₉	1	1	yes	characteristic
1344	#103	C₂³×C₁₉	1	1	yes	characteristic
1345	#103	C₂³×C₁₉	1	1	yes	characteristic
1346	#103	C₂³×C₁₉	1	1	yes	characteristic
1347	#102	C₂³×C₁₉	1	1	yes	characteristic
1348	#102	C₂³×C₁₉	1	1	yes	characteristic
1349	#102	C₂³×C₁₉	1	1	yes	characteristic
1350	#102	C₂³×C₁₉	1	1	yes	characteristic
1351	#102	C₂³×C₁₉	1	1	yes	characteristic
1352	#102	C₂³×C₁₉	1	1	yes	characteristic
1353	#102	C₂³×C₁₉	1	1	yes	characteristic
1354	#102	C₂³×C₁₉	1	1	yes	characteristic
1355	#102	C₂³×C₁₉	1	1	yes	characteristic
1356	#102	C₂³×C₁₉	1	1	yes	characteristic
1357	#102	C₂³×C₁₉	1	1	yes	characteristic
1358	#102	C₂³×C₁₉	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1360	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1361	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1362	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1363	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1364	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1365	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1367	#97	C₂³×C₁₉	1	1	yes	characteristic
1368	#97	C₂³×C₁₉	1	1	yes	characteristic
1369	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1370	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1371	C₁₉	#62307	1	1	yes	characteristic, direct product factor, Sylow
1372	C₂⁴	—	2	1	no	—
1373	C₂⁴	—	2	1	no	—
1374	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	8	2	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	4	1	no	—
1388	C₂×Q₈	—	4	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	—	4	1	no	—
1393	C₂×Q₈	—	4	1	no	—
1394	C₂×Q₈	—	4	1	no	—
1395	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1396	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1397	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1398	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1399	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1400	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	—	8	2	no	—
1421	C₂×D₄	—	8	2	no	—
1422	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1423	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1424	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1425	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1426	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1427	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1428	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1429	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1430	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1431	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	4	1	no	—
1446	C₂²×C₄	—	4	1	no	—
1447	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1448	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1449	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1453	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1454	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1455	Q₁₆	—	2	2	no	—
1456	Q₁₆	—	4	1	no	—
1457	Q₁₆	—	4	1	no	—
1458	Q₁₆	—	4	1	no	—
1459	SD₁₆	—	2	2	no	—
1460	SD₁₆	—	2	2	no	—
1461	SD₁₆	—	2	2	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	4	1	no	—
1471	M₁₆	—	2	2	no	—
1472	M₁₆	—	2	2	no	—
1473	M₁₆	—	2	2	no	—
1474	M₁₆	—	4	1	no	—
1475	M₁₆	—	4	1	no	—
1476	M₁₆	—	4	1	no	—
1477	C₂×C₈	—	2	2	no	—
1478	C₂×C₈	—	2	2	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	—	4	1	no	—
1482	C₂×C₈	—	4	1	no	—
1483	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1489	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1490	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
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	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1528	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1529	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1533	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1534	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1535	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1536	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1537	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1538	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1539	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1583	C₄²	—	2	1	no	—
1584	C₄²	—	2	1	no	—
1585	C₄²	—	2	1	no	—
1586	C₄²	—	2	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1593	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1594	C₂³	—	2	2	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	4	1	no	—
1599	C₂³	—	4	1	no	—
1600	C₂³	—	4	2	no	—
1601	C₂³	—	8	1	no	—
1602	C₂³	—	8	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1607	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1608	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1609	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1610	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	2	1	no	—
1617	Q₈	—	2	1	no	—
1618	Q₈	—	2	1	no	—
1619	Q₈	—	2	1	no	—
1620	Q₈	—	2	1	no	—
1621	Q₈	—	4	1	no	—
1622	Q₈	—	8	1	no	—
1623	Q₈	—	8	1	no	—
1624	Q₈	—	8	1	no	—
1625	Q₈	—	8	1	no	—
1626	Q₈	—	8	1	no	—
1627	D₄	—	2	2	no	—
1628	D₄	—	2	2	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	4	1	no	—
1636	D₄	—	4	1	no	—
1637	D₄	—	4	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	4	1	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	4	2	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	8	1	no	—
1692	C₂×C₄	—	8	1	no	—
1693	C₂×C₄	—	8	1	no	—
1694	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1695	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1696	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1697	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1698	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1699	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1700	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1701	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1702	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1703	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₈	—	2	1	no	—
1711	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	2	1	no	—
1721	C₂²	—	2	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	8	2	no	—
1736	C₂²	—	16	2	no	—
1737	C₂²	—	16	2	no	—
1738	C₂²	C₁₉×#577	1	2	yes	—
1739	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1763	C₄	C₁₉×#585	1	1	yes	characteristic
1764	C₂	—	2	2	no	—
1765	C₂	—	4	1	no	—
1766	C₂	—	4	1	no	—
1767	C₂	—	4	1	no	—
1768	C₂	—	4	1	no	—
1769	C₂	—	8	1	no	—
1770	C₂	—	8	1	no	—
1771	C₂	—	8	1	no	—
1772	C₂	C₁₉×#3496	1	1	yes	characteristic
1773	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1774	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×#3542	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×#3351	C₂	semidirect
4. C₁₉×#3348	C₂	semidirect
5. C₁₉×#3343	C₂	semidirect
6. C₁₉×#3336	C₂	semidirect
7. C₁₉×#3329	C₂	semidirect
8. C₁₉×#3323	C₂	semidirect
9. C₁₉×#3320	C₂	semidirect
10. C₁₉×#3317	C₂	semidirect
11. C₁₉×#3312	C₂	semidirect
12. C₁₉×#3310	C₂	semidirect
13. C₁₉×#3298	C₂	semidirect
14. C₁₉×#3296	C₂	semidirect
15. D₄×SD₁₆×C₁₉	C₂	semidirect
16. C₁₉×#3278	C₂	semidirect
17. C₁₉×#3266	C₂	semidirect
18. C₁₉×#3266	C₂	semidirect
19. C₁₉×#3260	C₂	semidirect
20. C₁₉×#3258	C₂	semidirect
21. C₁₉×#3201	C₂	semidirect
22. C₁₉×#3200	C₂	semidirect
23. C₁₉×#3190	C₂	semidirect
24. C₁₉×#3187	C₂	semidirect
25. C₁₉×#3178	C₂	semidirect
26. C₁₉×#3174	C₂	semidirect
27. C₁₉×#3063	C₂	semidirect
28. C₁₉×#3057	C₂	semidirect
29. C₁₉×#3056	C₂	semidirect
30. C₂×C₁₉×#468	C₂	semidirect
31. C₁₉×#2933	C₂	semidirect
32. C₂×C₁₉×#137	C₂²	semidirect
33. C₂×C₁₉×#137	C₂²	semidirect
35. C₂²×SD₁₆×C₁₉	C₂²	semidirect
36. C₂×C₁₉×#131	C₂²	semidirect
37. C₂²×M₁₆×C₁₉	C₂²	semidirect
46. C₁₉×#552	C₂²	semidirect
47. C₁₉×#552	C₂²	semidirect
48. C₁₉×#552	C₂²	semidirect
54. D₄×Q₈×C₁₉	C₂²	semidirect
55. D₄×Q₈×C₁₉	C₂²	semidirect
56. D₄×Q₈×C₁₉	C₂²	semidirect
65. C₁₉×#541	C₂²	semidirect
66. C₁₉×#541	C₂²	semidirect
73. C₁₉×#536	C₂²	semidirect
74. C₁₉×#536	C₂²	semidirect
80. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
81. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
83. C₁₉×#501	C₂²	semidirect
84. C₁₉×#499	C₂²	semidirect
85. C₁₉×#497	C₂²	semidirect
86. C₁₉×#492	C₂²	semidirect
87. C₁₉×#491	C₂²	semidirect
88. C₁₉×#490	C₂²	semidirect
89. C₁₉×#488	C₂²	semidirect
90. C₁₉×#487	C₂²	semidirect
91. C₁₉×#485	C₂²	semidirect
92. C₁₉×#485	C₂²	semidirect
93. C₁₉×#485	C₂²	semidirect
94. C₁₉×#485	C₂²	semidirect
95. C₁₉×#485	C₂²	semidirect
96. C₁₉×#484	C₂²	semidirect
97. C₁₉×#483	C₂²	semidirect
98. C₁₉×#483	C₂²	semidirect
99. C₁₉×#483	C₂²	semidirect
100. C₁₉×#483	C₂²	semidirect
101. C₁₉×#482	C₂²	semidirect
102. C₁₉×#482	C₂²	semidirect
103. C₁₉×#482	C₂²	semidirect
105. C₁₉×#481	C₂²	semidirect
107. C₁₉×#479	C₂²	semidirect
108. C₁₉×#479	C₂²	semidirect
109. C₁₉×#479	C₂²	semidirect
110. C₁₉×#478	C₂²	semidirect
111. C₁₉×#478	C₂²	semidirect
112. C₁₉×#478	C₂²	semidirect
113. C₁₉×#477	C₂²	semidirect
114. C₁₉×#475	C₂²	semidirect
115. C₁₉×#470	C₂²	semidirect
116. C₁₉×#470	C₂²	semidirect
117. C₁₉×#470	C₂²	semidirect
122. C₁₉×#468	C₂²	semidirect
123. C₁₉×#468	C₂²	semidirect
124. C₁₉×#468	C₂²	semidirect
125. C₁₉×#468	C₂²	semidirect
126. C₁₉×#468	C₂²	semidirect
127. C₁₉×#468	C₂²	semidirect
128. C₁₉×#468	C₂²	semidirect
129. C₁₉×#468	C₂²	semidirect
130. C₁₉×#468	C₂²	semidirect
131. C₁₉×#467	C₂²	semidirect
132. C₁₉×#467	C₂²	semidirect
133. C₁₉×#467	C₂²	semidirect
134. C₁₉×#467	C₂²	semidirect
135. C₁₉×#467	C₂²	semidirect
140. C₁₉×#465	C₂²	semidirect
141. C₁₉×#465	C₂²	semidirect
142. C₁₉×#465	C₂²	semidirect
143. C₁₉×#465	C₂²	semidirect
144. C₁₉×#465	C₂²	semidirect
145. C₁₉×#465	C₂²	semidirect
146. C₁₉×#465	C₂²	semidirect
147. C₁₉×#464	C₂²	semidirect
148. C₁₉×#464	C₂²	semidirect
149. C₁₉×#462	C₂²	semidirect
150. C₁₉×#461	C₂²	semidirect
151. C₁₉×#461	C₂²	semidirect
152. C₁₉×#461	C₂²	semidirect
153. C₁₉×#460	C₂²	semidirect
154. C₁₉×#460	C₂²	semidirect
155. C₁₉×#452	C₂²	semidirect
156. C₁₉×#452	C₂²	semidirect
157. C₁₉×#452	C₂²	semidirect
158. C₁₉×#452	C₂²	semidirect
159. C₁₉×#451	C₂²	semidirect
160. C₁₉×#451	C₂²	semidirect
163. C₁₉×#450	C₂²	semidirect
164. C₁₉×#450	C₂²	semidirect
167. C₁₉×#448	C₂²	semidirect
168. C₁₉×#448	C₂²	semidirect
169. C₁₉×#448	C₂²	semidirect
170. C₁₉×#448	C₂²	semidirect
171. C₁₉×#441	C₂²	semidirect
172. C₁₉×#440	C₂²	semidirect
173. C₁₉×#440	C₂²	semidirect
174. C₁₉×#440	C₂²	semidirect
175. C₄×Q₁₆×C₁₉	C₂²	semidirect
176. C₄×SD₁₆×C₁₉	C₂²	semidirect
177. C₄×SD₁₆×C₁₉	C₂²	semidirect
178. C₄×SD₁₆×C₁₉	C₂²	semidirect
179. C₁₉×#436	C₂²	semidirect
180. C₁₉×#436	C₂²	semidirect
182. C₁₉×#435	C₂²	semidirect
183. C₁₉×#435	C₂²	semidirect
184. C₁₉×#435	C₂²	semidirect
186. C₈×D₄×C₁₉	C₂²	semidirect
187. C₁₉×#428	C₂²	semidirect
188. C₁₉×#428	C₂²	semidirect
189. C₁₉×#427	C₂²	semidirect
190. C₂×C₁₉×#107	C₂²	semidirect
191. C₁₉×#424	C₂²	semidirect
192. C₁₉×#419	C₂²	semidirect
193. C₁₉×#419	C₂²	semidirect
194. C₁₉×#418	C₂²	semidirect
195. C₁₉×#417	C₂²	semidirect
196. C₁₉×#416	C₂²	semidirect
197. C₂×C₁₉×#103	C₂²	semidirect
198. C₂×C₁₉×#103	C₂²	semidirect
200. C₁₉×#408	C₂²	semidirect
201. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
202. C₁₉×#405	C₂²	semidirect
706. #62307	C₁₉	direct (N × H)
826. #3538	C₂×C₁₉	semidirect
827. #3351	C₂×C₁₉	semidirect
828. #3348	C₂×C₁₉	semidirect
829. #3343	C₂×C₁₉	semidirect
830. #3336	C₂×C₁₉	semidirect
831. #3329	C₂×C₁₉	semidirect
832. #3323	C₂×C₁₉	semidirect
833. #3320	C₂×C₁₉	semidirect
834. #3317	C₂×C₁₉	semidirect
835. #3312	C₂×C₁₉	semidirect
836. #3310	C₂×C₁₉	semidirect
837. #3298	C₂×C₁₉	semidirect
838. #3296	C₂×C₁₉	semidirect
839. D₄×SD₁₆	C₂×C₁₉	semidirect
840. #3278	C₂×C₁₉	semidirect
841. #3266	C₂×C₁₉	semidirect
842. #3266	C₂×C₁₉	semidirect
843. #3260	C₂×C₁₉	semidirect
844. #3258	C₂×C₁₉	semidirect
845. #3201	C₂×C₁₉	semidirect
846. #3200	C₂×C₁₉	semidirect
847. #3190	C₂×C₁₉	semidirect
848. #3187	C₂×C₁₉	semidirect
849. #3178	C₂×C₁₉	semidirect
850. #3174	C₂×C₁₉	semidirect
851. #3063	C₂×C₁₉	semidirect
852. #3057	C₂×C₁₉	semidirect
853. #3056	C₂×C₁₉	semidirect
854. C₂×#468	C₂×C₁₉	semidirect
855. #2933	C₂×C₁₉	semidirect
908. C₂×#137	C₂²×C₁₉	semidirect
909. C₂×#137	C₂²×C₁₉	semidirect
911. C₂²×SD₁₆	C₂²×C₁₉	semidirect
912. C₂×#131	C₂²×C₁₉	semidirect
913. C₂²×M₁₆	C₂²×C₁₉	semidirect
922. #552	C₂²×C₁₉	semidirect
923. #552	C₂²×C₁₉	semidirect
924. #552	C₂²×C₁₉	semidirect
930. D₄×Q₈	C₂²×C₁₉	semidirect
931. D₄×Q₈	C₂²×C₁₉	semidirect
932. D₄×Q₈	C₂²×C₁₉	semidirect
941. #541	C₂²×C₁₉	semidirect
942. #541	C₂²×C₁₉	semidirect
949. #536	C₂²×C₁₉	semidirect
950. #536	C₂²×C₁₉	semidirect
956. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
957. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
959. #501	C₂²×C₁₉	semidirect
960. #499	C₂²×C₁₉	semidirect
961. #497	C₂²×C₁₉	semidirect
962. #492	C₂²×C₁₉	semidirect
963. #491	C₂²×C₁₉	semidirect
964. #490	C₂²×C₁₉	semidirect
965. #488	C₂²×C₁₉	semidirect
966. #487	C₂²×C₁₉	semidirect
967. #485	C₂²×C₁₉	semidirect
968. #485	C₂²×C₁₉	semidirect
969. #485	C₂²×C₁₉	semidirect
970. #485	C₂²×C₁₉	semidirect
971. #485	C₂²×C₁₉	semidirect
972. #484	C₂²×C₁₉	semidirect
973. #483	C₂²×C₁₉	semidirect
974. #483	C₂²×C₁₉	semidirect
975. #483	C₂²×C₁₉	semidirect
976. #483	C₂²×C₁₉	semidirect
977. #482	C₂²×C₁₉	semidirect
978. #482	C₂²×C₁₉	semidirect
979. #482	C₂²×C₁₉	semidirect
981. #481	C₂²×C₁₉	semidirect
983. #479	C₂²×C₁₉	semidirect
984. #479	C₂²×C₁₉	semidirect
985. #479	C₂²×C₁₉	semidirect
986. #478	C₂²×C₁₉	semidirect
987. #478	C₂²×C₁₉	semidirect
988. #478	C₂²×C₁₉	semidirect
989. #477	C₂²×C₁₉	semidirect
990. #475	C₂²×C₁₉	semidirect
991. #470	C₂²×C₁₉	semidirect
992. #470	C₂²×C₁₉	semidirect
993. #470	C₂²×C₁₉	semidirect
998. #468	C₂²×C₁₉	semidirect
999. #468	C₂²×C₁₉	semidirect
1000. #468	C₂²×C₁₉	semidirect
1001. #468	C₂²×C₁₉	semidirect
1002. #468	C₂²×C₁₉	semidirect
1003. #468	C₂²×C₁₉	semidirect
1004. #468	C₂²×C₁₉	semidirect
1005. #468	C₂²×C₁₉	semidirect
1006. #468	C₂²×C₁₉	semidirect
1007. #467	C₂²×C₁₉	semidirect
1008. #467	C₂²×C₁₉	semidirect
1009. #467	C₂²×C₁₉	semidirect
1010. #467	C₂²×C₁₉	semidirect
1011. #467	C₂²×C₁₉	semidirect
1016. #465	C₂²×C₁₉	semidirect
1017. #465	C₂²×C₁₉	semidirect
1018. #465	C₂²×C₁₉	semidirect
1019. #465	C₂²×C₁₉	semidirect
1020. #465	C₂²×C₁₉	semidirect
1021. #465	C₂²×C₁₉	semidirect
1022. #465	C₂²×C₁₉	semidirect
1023. #464	C₂²×C₁₉	semidirect
1024. #464	C₂²×C₁₉	semidirect
1025. #462	C₂²×C₁₉	semidirect
1026. #461	C₂²×C₁₉	semidirect
1027. #461	C₂²×C₁₉	semidirect
1028. #461	C₂²×C₁₉	semidirect
1029. #460	C₂²×C₁₉	semidirect
1030. #460	C₂²×C₁₉	semidirect
1031. #452	C₂²×C₁₉	semidirect
1032. #452	C₂²×C₁₉	semidirect
1033. #452	C₂²×C₁₉	semidirect
1034. #452	C₂²×C₁₉	semidirect
1035. #451	C₂²×C₁₉	semidirect
1036. #451	C₂²×C₁₉	semidirect
1039. #450	C₂²×C₁₉	semidirect
1040. #450	C₂²×C₁₉	semidirect
1043. #448	C₂²×C₁₉	semidirect
1044. #448	C₂²×C₁₉	semidirect
1045. #448	C₂²×C₁₉	semidirect
1046. #448	C₂²×C₁₉	semidirect
1047. #441	C₂²×C₁₉	semidirect
1048. #440	C₂²×C₁₉	semidirect
1049. #440	C₂²×C₁₉	semidirect
1050. #440	C₂²×C₁₉	semidirect
1051. C₄×Q₁₆	C₂²×C₁₉	semidirect
1052. C₄×SD₁₆	C₂²×C₁₉	semidirect
1053. C₄×SD₁₆	C₂²×C₁₉	semidirect
1054. C₄×SD₁₆	C₂²×C₁₉	semidirect
1055. #436	C₂²×C₁₉	semidirect
1056. #436	C₂²×C₁₉	semidirect
1058. #435	C₂²×C₁₉	semidirect
1059. #435	C₂²×C₁₉	semidirect
1060. #435	C₂²×C₁₉	semidirect
1062. C₈×D₄	C₂²×C₁₉	semidirect
1063. #428	C₂²×C₁₉	semidirect
1064. #428	C₂²×C₁₉	semidirect
1065. #427	C₂²×C₁₉	semidirect
1066. C₂×#107	C₂²×C₁₉	semidirect
1067. #424	C₂²×C₁₉	semidirect
1068. #419	C₂²×C₁₉	semidirect
1069. #419	C₂²×C₁₉	semidirect
1070. #418	C₂²×C₁₉	semidirect
1071. #417	C₂²×C₁₉	semidirect
1072. #416	C₂²×C₁₉	semidirect
1073. C₂×#103	C₂²×C₁₉	semidirect
1074. C₂×#103	C₂²×C₁₉	semidirect
1076. #408	C₂²×C₁₉	semidirect
1077. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
1078. #405	C₂²×C₁₉	semidirect
1371. C₁₉	#62307	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×#3542	2
C₁₉×#3538	2
C₁₉×#3351	2
C₁₉×#3348	2
C₁₉×#3343	2
C₁₉×#3336	2
C₁₉×#3329	2
C₁₉×#3323	2
C₁₉×#3320	2
C₁₉×#3317	2
C₁₉×#3312	2
C₁₉×#3310	2
C₁₉×#3298	2
C₁₉×#3296	2
D₄×SD₁₆×C₁₉	2
C₁₉×#3278	2
C₁₉×#3266	2
C₁₉×#3260	2
C₁₉×#3258	2
C₁₉×#3201	2
C₁₉×#3200	2
C₁₉×#3190	2
C₁₉×#3187	2
C₁₉×#3178	2
C₁₉×#3174	2
C₁₉×#3063	2
C₁₉×#3057	2
C₁₉×#3056	2
C₂×C₁₉×#468	2
C₁₉×#2933	2
#62307	19

Subgroups — C19×#62307 #18068266

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62307 #18068266