Subgroups — C₁₉×#62042 #18068001

Order 4864.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3359	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3331	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3316	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3298	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3275	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3267	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3263	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3255	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3225	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3125	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3101	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3046	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3036	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₁₉×#135	C₂²	1	2	yes	—
27	C₁₉×#562	—	2	2	no	—
28	C₁₉×#559	—	2	1	no	—
29	C₁₉×#559	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#557	C₂²	1	1	yes	characteristic, complemented
31	C₁₉×#556	C₂²	1	1	yes	characteristic
32	C₁₉×#554	—	2	1	no	—
33	C₁₉×#554	C₂²	1	2	yes	—
34	C₁₉×#552	—	2	1	no	—
35	C₁₉×#551	—	2	2	no	—
36	C₁₉×#550	C₂²	1	1	yes	characteristic, complemented
37	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#548	—	2	1	no	—
40	C₁₉×#548	C₂²	1	2	yes	—
41	C₁₉×#547	C₂²	1	1	yes	characteristic
42	C₁₉×#547	C₂²	1	2	yes	—
43	C₁₉×#547	C₂²	1	1	yes	characteristic
44	C₁₉×#546	C₂²	1	2	yes	—
45	C₁₉×#542	—	2	1	no	—
46	C₁₉×#542	C₂²	1	2	yes	—
47	C₁₉×#542	C₂²	1	2	yes	complemented
48	C₁₉×#540	—	2	1	no	—
49	C₁₉×#539	—	2	2	no	—
50	C₁₉×#539	—	2	2	no	—
51	C₁₉×#536	C₂²	1	2	yes	complemented
52	C₁₉×#533	C₂²	1	1	yes	characteristic
53	C₁₉×#533	C₂²	1	1	yes	characteristic
54	C₁₉×#532	C₂²	1	1	yes	characteristic
55	C₁₉×#529	C₂²	1	1	yes	characteristic
56	C₁₉×#525	—	2	1	no	—
57	C₂×C₁₉×C₂²⋊Q₈	—	2	1	no	—
58	C₁₉×#520	C₂²	1	2	yes	—
59	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
60	C₁₉×#497	C₂²	1	2	yes	—
61	C₁₉×#495	C₂²	1	2	yes	—
62	C₁₉×#494	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#489	C₂²	1	2	yes	complemented
65	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#487	C₂²	1	2	yes	complemented
67	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#483	C₂²	1	1	yes	characteristic
69	C₁₉×#483	C₂²	1	1	yes	characteristic
70	C₁₉×#483	C₂²	1	2	yes	complemented
71	C₁₉×#481	C₂²	1	2	yes	complemented
72	C₁₉×#476	C₂²	1	1	yes	characteristic
73	C₁₉×#476	C₂²	1	1	yes	characteristic
74	C₁₉×#476	C₂²	1	2	yes	complemented
75	C₁₉×#475	C₂²	1	2	yes	complemented
76	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#475	C₂²	1	2	yes	complemented
79	C₁₉×#470	C₂²	1	2	yes	—
80	C₁₉×#470	C₂²	1	2	yes	—
81	C₁₉×#470	C₂²	1	2	yes	complemented
82	C₁₉×#469	C₂²	1	2	yes	—
83	C₁₉×#465	C₂²	1	2	yes	—
84	C₁₉×#465	C₂²	1	2	yes	complemented
85	C₁₉×#464	C₂²	1	2	yes	—
86	C₁₉×#464	C₂²	1	2	yes	complemented
87	C₁₉×#464	C₂²	1	2	yes	complemented
88	C₁₉×#464	C₂²	1	2	yes	complemented
89	C₁₉×#463	C₂²	1	2	yes	—
90	C₁₉×#463	C₂²	1	2	yes	—
91	C₁₉×#463	C₂²	1	2	yes	—
92	C₁₉×#463	C₂²	1	2	yes	—
93	C₁₉×#462	C₂²	1	2	yes	complemented
94	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#462	C₂²	1	2	yes	complemented
97	C₁₉×#461	C₂²	1	1	yes	characteristic
98	C₁₉×#461	C₂²	1	2	yes	—
99	C₁₉×#461	C₂²	1	1	yes	characteristic
100	C₁₉×#461	C₂²	1	1	yes	characteristic
101	C₁₉×#461	C₂²	1	1	yes	characteristic
102	C₁₉×#459	C₂²	1	1	yes	characteristic
103	C₁₉×#459	C₂²	1	1	yes	characteristic
104	C₁₉×#452	C₂²	1	2	yes	—
105	C₁₉×#452	C₂²	1	2	yes	—
106	C₁₉×#452	C₂²	1	2	yes	—
107	C₁₉×#452	C₂²	1	2	yes	complemented
108	C₁₉×#451	C₂²	1	2	yes	complemented
109	C₁₉×#450	C₂²	1	1	yes	characteristic
110	C₁₉×#450	C₂²	1	1	yes	characteristic
111	C₁₉×#449	C₂²	1	2	yes	—
112	C₁₉×#449	C₂²	1	2	yes	—
113	C₁₉×#448	C₂²	1	2	yes	—
114	C₁₉×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#442	C₂²	1	2	yes	—
117	C₁₉×#441	C₂²	1	2	yes	complemented
118	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
119	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
120	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
121	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
122	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
123	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
124	C₁₉×#436	C₂²	1	2	yes	—
125	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#435	C₂²	1	2	yes	—
127	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#433	C₂²	1	2	yes	complemented
129	C₁₉×#431	C₂²	1	1	yes	characteristic
130	C₁₉×#424	C₂²	1	2	yes	complemented
131	C₁₉×#423	C₂²	1	1	yes	characteristic
132	C₁₉×#417	C₂²	1	2	yes	—
133	C₁₉×#417	C₂²	1	2	yes	complemented
134	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	C₂³	1	2	yes	—
137	C₂×#41×C₁₉	C₂³	1	2	yes	—
138	C₂×#41×C₁₉	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₉	—	2	1	no	—
140	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₉	—	2	1	no	—
143	C₁₉×#137	—	4	4	no	—
144	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
145	C₁₉×#135	—	4	4	no	—
146	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
155	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
156	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	2	yes	—
159	C₂×D₈×C₁₉	C₂³	1	2	yes	—
160	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
161	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
163	C₁₉×C₄⋊Q₈	—	2	1	no	—
164	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₉×#127	—	2	1	no	—
172	C₁₉×#127	C₂³	1	1	yes	characteristic
173	C₁₉×#126	—	2	2	no	—
174	C₁₉×#126	—	2	2	no	—
175	C₁₉×#126	—	2	2	no	—
176	C₁₉×#126	D₄	1	2	yes	—
177	C₁₉×#125	—	2	2	no	—
178	C₁₉×#125	—	2	2	no	—
179	C₁₉×#125	—	2	1	no	—
180	C₁₉×#125	—	2	1	no	—
181	C₁₉×#125	—	2	1	no	—
182	C₁₉×#125	D₄	1	1	yes	characteristic
183	C₁₉×#124	—	2	1	no	—
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	2	no	—
186	C₁₉×#124	—	2	2	no	—
187	C₁₉×#124	D₄	1	1	yes	characteristic
188	C₁₉×#124	C₂³	1	2	yes	—
189	C₁₉×#124	C₂³	1	2	yes	—
190	C₁₉×#124	C₂³	1	2	yes	—
191	C₁₉×#123	—	2	2	no	—
192	C₁₉×#123	—	2	2	no	—
193	C₁₉×#123	—	2	2	no	—
194	C₁₉×#123	—	2	2	no	—
195	C₁₉×#123	—	2	2	no	—
196	C₁₉×#123	—	2	2	no	—
197	C₁₉×#123	—	2	2	no	—
198	C₁₉×#123	—	2	2	no	—
199	C₁₉×#123	—	2	2	no	—
200	C₁₉×#123	—	2	2	no	—
201	C₁₉×#123	D₄	1	2	yes	—
202	C₁₉×C₂²⋊Q₈	—	2	1	no	—
203	C₁₉×C₂²⋊Q₈	—	2	1	no	—
204	C₁₉×C₂²⋊Q₈	—	2	1	no	—
205	C₁₉×C₂²⋊Q₈	—	2	2	no	—
206	C₁₉×C₂²⋊Q₈	—	2	1	no	—
207	C₁₉×C₂²⋊Q₈	—	2	1	no	—
208	C₁₉×C₂²⋊Q₈	—	2	2	no	—
209	C₁₉×C₂²⋊Q₈	—	2	2	no	—
210	C₁₉×C₂²⋊Q₈	—	2	2	no	—
211	C₁₉×C₂²⋊Q₈	—	2	2	no	—
212	C₁₉×C₂²⋊Q₈	—	2	2	no	—
213	C₁₉×C₂²⋊Q₈	—	2	2	no	—
214	C₁₉×C₂²⋊Q₈	—	2	2	no	—
215	C₁₉×C₂²⋊Q₈	—	2	2	no	—
216	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
217	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₉×#121	—	2	1	no	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	—	2	2	no	—
225	C₁₉×#121	—	2	1	no	—
226	C₁₉×#121	—	2	1	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	—	2	2	no	—
229	C₁₉×#121	D₄	1	1	yes	characteristic
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₁₉×#120	—	2	2	no	—
233	C₄×Q₈×C₁₉	—	2	1	no	—
234	C₄×Q₈×C₁₉	—	2	1	no	—
235	C₄×Q₈×C₁₉	—	2	1	no	—
236	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₉	—	2	2	no	—
243	C₄×D₄×C₁₉	—	2	1	no	—
244	C₄×D₄×C₁₉	—	2	1	no	—
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	2	no	—
247	C₄×D₄×C₁₉	—	2	2	no	—
248	C₄×D₄×C₁₉	—	2	2	no	—
249	C₄×D₄×C₁₉	—	2	1	no	—
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	1	no	—
253	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₉	C₂³	1	2	yes	—
256	C₄×D₄×C₁₉	C₂³	1	2	yes	—
257	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₉	C₂³	1	2	yes	—
261	C₁₉×#117	—	2	1	no	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	2	no	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
267	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
269	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
272	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#106	C₂³	1	1	yes	characteristic
275	C₁₉×#106	C₂³	1	1	yes	characteristic
276	C₁₉×#106	C₂³	1	1	yes	characteristic
277	C₁₉×#106	C₂³	1	2	yes	—
278	C₁₉×#106	C₂³	1	1	yes	characteristic
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	1	yes	characteristic
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#103	C₂³	1	2	yes	—
292	C₁₉×#103	C₂³	1	1	yes	characteristic
293	C₁₉×#103	C₂³	1	2	yes	—
294	C₁₉×#103	C₂³	1	2	yes	—
295	C₁₉×#103	C₂³	1	1	yes	characteristic
296	C₁₉×#103	C₂³	1	1	yes	characteristic
297	C₁₉×#103	C₂³	1	2	yes	—
298	C₁₉×#103	C₂³	1	2	yes	—
299	C₁₉×#102	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	2	yes	—
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	1	yes	characteristic
303	C₁₉×#102	C₂³	1	1	yes	characteristic
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	1	yes	characteristic
306	C₁₉×#102	C₂³	1	2	yes	—
307	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	2	yes	—
315	C₂⁴×C₁₉	—	2	1	no	—
316	#41×C₁₉	—	2	4	no	—
317	#41×C₁₉	—	4	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	#41×C₁₉	—	4	2	no	—
320	#41×C₁₉	—	4	2	no	—
321	#41×C₁₉	—	4	2	no	—
322	#41×C₁₉	—	8	2	no	—
323	C₂×Q₈×C₁₉	—	2	1	no	—
324	C₂×Q₈×C₁₉	—	2	1	no	—
325	C₂×Q₈×C₁₉	—	2	2	no	—
326	C₂×Q₈×C₁₉	—	2	2	no	—
327	C₂×Q₈×C₁₉	—	4	2	no	—
328	C₂×Q₈×C₁₉	—	4	2	no	—
329	C₂×Q₈×C₁₉	—	8	2	no	—
330	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₉	—	2	2	no	—
336	C₂×D₄×C₁₉	—	2	2	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	—	2	2	no	—
340	C₂×D₄×C₁₉	—	2	2	no	—
341	C₂×D₄×C₁₉	—	2	1	no	—
342	C₂×D₄×C₁₉	—	2	1	no	—
343	C₂×D₄×C₁₉	—	2	1	no	—
344	C₂×D₄×C₁₉	—	4	1	no	—
345	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
346	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
349	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₉	—	2	1	no	—
351	C₂²×C₄×C₁₉	—	2	2	no	—
352	C₂²×C₄×C₁₉	—	2	2	no	—
353	C₂²×C₄×C₁₉	—	2	2	no	—
354	C₂²×C₄×C₁₉	—	2	1	no	—
355	C₂²×C₄×C₁₉	—	2	1	no	—
356	C₂²×C₄×C₁₉	—	2	2	no	—
357	C₂²×C₄×C₁₉	—	2	1	no	—
358	C₂²×C₄×C₁₉	—	2	2	no	—
359	C₂²×C₄×C₁₉	—	2	2	no	—
360	C₂²×C₄×C₁₉	—	2	2	no	—
361	C₂²×C₄×C₁₉	—	2	1	no	—
362	C₂²×C₄×C₁₉	—	8	2	no	—
363	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
367	Q₁₆×C₁₉	—	4	2	no	—
368	Q₁₆×C₁₉	—	4	2	no	—
369	Q₁₆×C₁₉	—	4	2	no	—
370	Q₁₆×C₁₉	—	4	2	no	—
371	SD₁₆×C₁₉	—	2	2	no	—
372	SD₁₆×C₁₉	—	2	4	no	—
373	SD₁₆×C₁₉	—	2	2	no	—
374	SD₁₆×C₁₉	—	4	1	no	—
375	SD₁₆×C₁₉	—	4	2	no	—
376	SD₁₆×C₁₉	—	4	1	no	—
377	SD₁₆×C₁₉	—	4	2	no	—
378	SD₁₆×C₁₉	—	4	2	no	—
379	D₈×C₁₉	—	2	4	no	—
380	D₈×C₁₉	—	4	2	no	—
381	M₁₆×C₁₉	—	4	2	no	—
382	M₁₆×C₁₉	—	4	2	no	—
383	C₂×C₈×C₁₉	—	4	2	no	—
384	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
390	C₄⋊C₄×C₁₉	—	2	1	no	—
391	C₄⋊C₄×C₁₉	—	2	2	no	—
392	C₄⋊C₄×C₁₉	—	2	1	no	—
393	C₄⋊C₄×C₁₉	—	2	2	no	—
394	C₄⋊C₄×C₁₉	—	2	2	no	—
395	C₄⋊C₄×C₁₉	—	2	2	no	—
396	C₄⋊C₄×C₁₉	—	2	2	no	—
397	C₄⋊C₄×C₁₉	—	2	2	no	—
398	C₄⋊C₄×C₁₉	—	2	1	no	—
399	C₄⋊C₄×C₁₉	—	2	1	no	—
400	C₄⋊C₄×C₁₉	—	2	1	no	—
401	C₄⋊C₄×C₁₉	—	2	1	no	—
402	C₄⋊C₄×C₁₉	—	2	1	no	—
403	C₄⋊C₄×C₁₉	—	2	1	no	—
404	C₄⋊C₄×C₁₉	—	2	1	no	—
405	C₄⋊C₄×C₁₉	—	2	1	no	—
406	C₄⋊C₄×C₁₉	—	2	2	no	—
407	C₄⋊C₄×C₁₉	—	2	2	no	—
408	C₄⋊C₄×C₁₉	—	2	1	no	—
409	C₄⋊C₄×C₁₉	—	2	2	no	—
410	C₄⋊C₄×C₁₉	—	2	1	no	—
411	C₄⋊C₄×C₁₉	—	2	2	no	—
412	C₄⋊C₄×C₁₉	—	2	1	no	—
413	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
414	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
415	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
417	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
418	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
419	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
422	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
423	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
424	C₂²⋊C₄×C₁₉	—	2	2	no	—
425	C₂²⋊C₄×C₁₉	—	2	1	no	—
426	C₂²⋊C₄×C₁₉	—	2	1	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	1	no	—
430	C₂²⋊C₄×C₁₉	—	2	1	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	no	—
432	C₂²⋊C₄×C₁₉	—	2	1	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	2	no	—
435	C₂²⋊C₄×C₁₉	—	2	2	no	—
436	C₂²⋊C₄×C₁₉	—	2	2	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	no	—
438	C₂²⋊C₄×C₁₉	—	2	2	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	2	no	—
442	C₂²⋊C₄×C₁₉	—	2	2	no	—
443	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
444	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
445	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
446	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
447	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
448	C₄²×C₁₉	—	2	2	no	—
449	C₄²×C₁₉	—	2	2	no	—
450	C₄²×C₁₉	—	2	1	no	—
451	C₄²×C₁₉	—	2	1	no	—
452	C₄²×C₁₉	—	2	2	no	—
453	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₉	C₂⁴	1	2	yes	—
458	#62042	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
459	C₂³×C₁₉	—	2	1	no	—
460	C₂³×C₁₉	—	2	1	no	—
461	C₂³×C₁₉	—	2	2	no	—
462	C₂³×C₁₉	—	4	2	no	—
463	C₂³×C₁₉	—	4	2	no	—
464	C₂³×C₁₉	—	8	1	no	—
465	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
466	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
467	Q₈×C₁₉	—	2	2	no	—
468	Q₈×C₁₉	—	2	2	no	—
469	Q₈×C₁₉	—	2	1	no	—
470	Q₈×C₁₉	—	2	1	no	—
471	Q₈×C₁₉	—	2	2	no	—
472	Q₈×C₁₉	—	2	2	no	—
473	Q₈×C₁₉	—	2	1	no	—
474	Q₈×C₁₉	—	2	1	no	—
475	Q₈×C₁₉	—	2	2	no	—
476	Q₈×C₁₉	—	4	2	no	—
477	Q₈×C₁₉	—	8	1	no	—
478	Q₈×C₁₉	—	8	2	no	—
479	Q₈×C₁₉	—	8	2	no	—
480	D₄×C₁₉	—	2	2	no	—
481	D₄×C₁₉	—	2	2	no	—
482	D₄×C₁₉	—	2	1	no	—
483	D₄×C₁₉	—	2	1	no	—
484	D₄×C₁₉	—	2	1	no	—
485	D₄×C₁₉	—	2	2	no	—
486	D₄×C₁₉	—	4	2	no	—
487	D₄×C₁₉	—	4	2	no	—
488	D₄×C₁₉	—	4	4	no	—
489	D₄×C₁₉	—	4	2	no	—
490	D₄×C₁₉	—	8	1	no	—
491	D₄×C₁₉	—	8	2	no	—
492	D₄×C₁₉	—	8	2	no	—
493	D₄×C₁₉	—	8	2	no	—
494	D₄×C₁₉	—	8	2	no	—
495	D₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
496	C₂×C₄×C₁₉	—	2	2	no	—
497	C₂×C₄×C₁₉	—	2	2	no	—
498	C₂×C₄×C₁₉	—	2	1	no	—
499	C₂×C₄×C₁₉	—	2	1	no	—
500	C₂×C₄×C₁₉	—	2	2	no	—
501	C₂×C₄×C₁₉	—	2	1	no	—
502	C₂×C₄×C₁₉	—	2	2	no	—
503	C₂×C₄×C₁₉	—	2	1	no	—
504	C₂×C₄×C₁₉	—	2	1	no	—
505	C₂×C₄×C₁₉	—	2	1	no	—
506	C₂×C₄×C₁₉	—	2	2	no	—
507	C₂×C₄×C₁₉	—	2	2	no	—
508	C₂×C₄×C₁₉	—	2	1	no	—
509	C₂×C₄×C₁₉	—	2	1	no	—
510	C₂×C₄×C₁₉	—	4	1	no	—
511	C₂×C₄×C₁₉	—	4	4	no	—
512	C₂×C₄×C₁₉	—	4	2	no	—
513	C₂×C₄×C₁₉	—	4	2	no	—
514	C₂×C₄×C₁₉	—	8	2	no	—
515	C₂×C₄×C₁₉	—	8	1	no	—
516	C₂×C₄×C₁₉	—	8	1	no	—
517	C₂×C₄×C₁₉	—	8	2	no	—
518	C₂×C₄×C₁₉	—	8	2	no	—
519	C₂×C₄×C₁₉	—	8	2	no	—
520	C₂×C₄×C₁₉	—	8	1	no	—
521	C₂×C₄×C₁₉	—	8	2	no	—
522	C₂×C₄×C₁₉	—	8	2	no	—
523	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
532	C₈×C₁₉	—	2	1	no	—
533	C₈×C₁₉	—	2	2	no	—
534	C₈×C₁₉	—	2	2	no	—
535	C₈×C₁₉	—	2	1	no	—
536	C₈×C₁₉	—	2	1	no	—
537	C₈×C₁₉	—	2	1	no	—
538	#3554	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3520	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#3398	C₂×C₁₉	1	1	yes	characteristic, complemented
541	#3394	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3373	C₂×C₁₉	1	1	yes	characteristic, complemented
543	#3359	C₂×C₁₉	1	1	yes	characteristic, complemented
544	#3332	C₂×C₁₉	1	1	yes	characteristic, complemented
545	#3331	C₂×C₁₉	1	2	yes	complemented
546	#3316	C₂×C₁₉	1	2	yes	complemented
547	#3298	C₂×C₁₉	1	1	yes	characteristic, complemented
548	#3284	C₂×C₁₉	1	1	yes	characteristic, complemented
549	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#3275	C₂×C₁₉	1	2	yes	complemented
551	#3267	C₂×C₁₉	1	2	yes	complemented
552	#3263	C₂×C₁₉	1	2	yes	complemented
553	#3255	C₂×C₁₉	1	1	yes	characteristic, complemented
554	#3225	C₂×C₁₉	1	2	yes	complemented
555	#3210	C₂×C₁₉	1	1	yes	characteristic, complemented
556	#3125	C₂×C₁₉	1	2	yes	complemented
557	#3101	C₂×C₁₉	1	1	yes	characteristic, complemented
558	#3046	C₂×C₁₉	1	2	yes	complemented
559	#3036	C₂×C₁₉	1	1	yes	characteristic, complemented
560	#2993	C₂×C₁₉	1	1	yes	characteristic, complemented
561	C₂²×C₁₉	—	2	1	no	—
562	C₂²×C₁₉	—	2	2	no	—
563	C₂²×C₁₉	—	2	2	no	—
564	C₂²×C₁₉	—	2	1	no	—
565	C₂²×C₁₉	—	2	2	no	—
566	C₂²×C₁₉	—	2	1	no	—
567	C₂²×C₁₉	—	2	2	no	—
568	C₂²×C₁₉	—	4	1	no	—
569	C₂²×C₁₉	—	4	1	no	—
570	C₂²×C₁₉	—	4	2	no	—
571	C₂²×C₁₉	—	4	1	no	—
572	C₂²×C₁₉	—	4	2	no	—
573	C₂²×C₁₉	—	4	1	no	—
574	C₂²×C₁₉	—	4	1	no	—
575	C₂²×C₁₉	—	4	2	no	—
576	C₂²×C₁₉	—	8	4	no	—
577	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
578	C₄×C₁₉	—	2	1	no	—
579	C₄×C₁₉	—	2	1	no	—
580	C₄×C₁₉	—	2	2	no	—
581	C₄×C₁₉	—	2	2	no	—
582	C₄×C₁₉	—	2	1	no	—
583	C₄×C₁₉	—	2	1	no	—
584	C₄×C₁₉	—	2	2	no	—
585	C₄×C₁₉	—	4	1	no	—
586	C₄×C₁₉	—	4	1	no	—
587	C₄×C₁₉	—	4	2	no	—
588	C₄×C₁₉	—	4	1	no	—
589	C₄×C₁₉	—	4	2	no	—
590	C₄×C₁₉	—	4	1	no	—
591	C₄×C₁₉	—	4	1	no	—
592	C₄×C₁₉	—	4	1	no	—
593	C₄×C₁₉	—	4	2	no	—
594	C₄×C₁₉	#577	1	2	yes	—
595	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
596	C₄×C₁₉	#585	1	1	yes	characteristic
597	C₂×#137	C₂²×C₁₉	1	2	yes	—
598	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	—
599	C₂×#135	C₂²×C₁₉	1	2	yes	—
600	#562	—	2	2	no	—
601	#559	—	2	1	no	—
602	#559	C₂²×C₁₉	1	1	yes	characteristic, complemented
603	#557	C₂²×C₁₉	1	1	yes	characteristic, complemented
604	#556	C₂²×C₁₉	1	1	yes	characteristic
605	#554	—	2	1	no	—
606	#554	C₂²×C₁₉	1	2	yes	—
607	#552	—	2	1	no	—
608	#551	—	2	2	no	—
609	#550	C₂²×C₁₉	1	1	yes	characteristic, complemented
610	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
611	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
612	#548	—	2	1	no	—
613	#548	C₂²×C₁₉	1	2	yes	—
614	#547	C₂²×C₁₉	1	2	yes	—
615	#547	C₂²×C₁₉	1	1	yes	characteristic
616	#547	C₂²×C₁₉	1	1	yes	characteristic
617	#546	C₂²×C₁₉	1	2	yes	—
618	#542	—	2	1	no	—
619	#542	C₂²×C₁₉	1	2	yes	—
620	#542	C₂²×C₁₉	1	2	yes	complemented
621	#540	—	2	1	no	—
622	#539	—	2	2	no	—
623	#539	—	2	2	no	—
624	#536	C₂²×C₁₉	1	2	yes	complemented
625	#533	C₂²×C₁₉	1	1	yes	characteristic
626	#533	C₂²×C₁₉	1	1	yes	characteristic
627	#532	C₂²×C₁₉	1	1	yes	characteristic
628	#529	C₂²×C₁₉	1	1	yes	characteristic
629	#525	—	2	1	no	—
630	C₂×C₂²⋊Q₈	—	2	1	no	—
631	#520	C₂²×C₁₉	1	2	yes	—
632	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
633	#497	C₂²×C₁₉	1	2	yes	—
634	#495	C₂²×C₁₉	1	2	yes	—
635	#494	C₂²×C₁₉	1	1	yes	characteristic, complemented
636	#492	C₂²×C₁₉	1	1	yes	characteristic, complemented
637	#489	C₂²×C₁₉	1	2	yes	complemented
638	#487	C₂²×C₁₉	1	2	yes	complemented
639	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
640	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
641	#483	C₂²×C₁₉	1	1	yes	characteristic
642	#483	C₂²×C₁₉	1	1	yes	characteristic
643	#483	C₂²×C₁₉	1	2	yes	complemented
644	#481	C₂²×C₁₉	1	2	yes	complemented
645	#476	C₂²×C₁₉	1	1	yes	characteristic
646	#476	C₂²×C₁₉	1	1	yes	characteristic
647	#476	C₂²×C₁₉	1	2	yes	complemented
648	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#475	C₂²×C₁₉	1	2	yes	complemented
650	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
651	#475	C₂²×C₁₉	1	2	yes	complemented
652	#470	C₂²×C₁₉	1	2	yes	—
653	#470	C₂²×C₁₉	1	2	yes	—
654	#470	C₂²×C₁₉	1	2	yes	complemented
655	#469	C₂²×C₁₉	1	2	yes	—
656	#465	C₂²×C₁₉	1	2	yes	—
657	#465	C₂²×C₁₉	1	2	yes	complemented
658	#464	C₂²×C₁₉	1	2	yes	—
659	#464	C₂²×C₁₉	1	2	yes	complemented
660	#464	C₂²×C₁₉	1	2	yes	complemented
661	#464	C₂²×C₁₉	1	2	yes	complemented
662	#463	C₂²×C₁₉	1	2	yes	—
663	#463	C₂²×C₁₉	1	2	yes	—
664	#463	C₂²×C₁₉	1	2	yes	—
665	#463	C₂²×C₁₉	1	2	yes	—
666	#462	C₂²×C₁₉	1	2	yes	complemented
667	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
668	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
669	#462	C₂²×C₁₉	1	2	yes	complemented
670	#461	C₂²×C₁₉	1	1	yes	characteristic
671	#461	C₂²×C₁₉	1	1	yes	characteristic
672	#461	C₂²×C₁₉	1	2	yes	—
673	#461	C₂²×C₁₉	1	1	yes	characteristic
674	#461	C₂²×C₁₉	1	1	yes	characteristic
675	#459	C₂²×C₁₉	1	1	yes	characteristic
676	#459	C₂²×C₁₉	1	1	yes	characteristic
677	#452	C₂²×C₁₉	1	2	yes	—
678	#452	C₂²×C₁₉	1	2	yes	—
679	#452	C₂²×C₁₉	1	2	yes	—
680	#452	C₂²×C₁₉	1	2	yes	complemented
681	#451	C₂²×C₁₉	1	2	yes	complemented
682	#450	C₂²×C₁₉	1	1	yes	characteristic
683	#450	C₂²×C₁₉	1	1	yes	characteristic
684	#449	C₂²×C₁₉	1	2	yes	—
685	#449	C₂²×C₁₉	1	2	yes	—
686	#448	C₂²×C₁₉	1	2	yes	—
687	#446	C₂²×C₁₉	1	1	yes	characteristic, complemented
688	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
689	#442	C₂²×C₁₉	1	2	yes	—
690	#441	C₂²×C₁₉	1	2	yes	complemented
691	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
692	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
693	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
694	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
695	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
696	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
697	#436	C₂²×C₁₉	1	2	yes	—
698	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
699	#435	C₂²×C₁₉	1	2	yes	—
700	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
701	#433	C₂²×C₁₉	1	2	yes	complemented
702	#431	C₂²×C₁₉	1	1	yes	characteristic
703	#424	C₂²×C₁₉	1	2	yes	complemented
704	#423	C₂²×C₁₉	1	1	yes	characteristic
705	#417	C₂²×C₁₉	1	2	yes	—
706	#417	C₂²×C₁₉	1	2	yes	complemented
707	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
708	C₂×C₁₉	—	4	2	no	—
709	C₂×C₁₉	—	4	1	no	—
710	C₂×C₁₉	—	4	2	no	—
711	C₂×C₁₉	—	8	2	no	—
712	C₂×C₁₉	—	8	1	no	—
713	C₂×C₁₉	#3488	1	1	yes	characteristic
714	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
715	C₂×C₁₉	#3586	1	1	yes	characteristic
716	C₂×#41	—	2	1	no	—
717	C₂×#41	C₂³×C₁₉	1	2	yes	—
718	C₂×#41	C₂³×C₁₉	1	2	yes	—
719	C₂×#41	C₂³×C₁₉	1	2	yes	—
720	C₂²×Q₈	—	2	1	no	—
721	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
722	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
723	C₂³×C₄	—	2	1	no	—
724	#137	—	4	4	no	—
725	AGL(1,ℤ/8)	—	4	4	no	—
726	#135	—	4	4	no	—
727	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
728	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
729	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
730	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
731	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
732	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
733	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
737	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
738	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
739	C₂×D₈	C₂³×C₁₉	1	2	yes	—
740	C₂×D₈	C₂³×C₁₉	1	2	yes	—
741	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
742	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
743	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
744	C₄⋊Q₈	—	2	1	no	—
745	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
746	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
747	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
748	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
749	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
750	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
751	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
752	#127	—	2	1	no	—
753	#127	C₂³×C₁₉	1	1	yes	characteristic
754	#126	—	2	2	no	—
755	#126	—	2	2	no	—
756	#126	—	2	2	no	—
757	#126	D₄×C₁₉	1	2	yes	—
758	#125	—	2	2	no	—
759	#125	—	2	2	no	—
760	#125	—	2	1	no	—
761	#125	—	2	1	no	—
762	#125	—	2	1	no	—
763	#125	D₄×C₁₉	1	1	yes	characteristic
764	#124	—	2	1	no	—
765	#124	—	2	2	no	—
766	#124	—	2	2	no	—
767	#124	—	2	2	no	—
768	#124	D₄×C₁₉	1	1	yes	characteristic
769	#124	C₂³×C₁₉	1	2	yes	—
770	#124	C₂³×C₁₉	1	2	yes	—
771	#124	C₂³×C₁₉	1	2	yes	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	#123	D₄×C₁₉	1	2	yes	—
783	C₂²⋊Q₈	—	2	1	no	—
784	C₂²⋊Q₈	—	2	1	no	—
785	C₂²⋊Q₈	—	2	1	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	—	2	2	no	—
794	C₂²⋊Q₈	—	2	2	no	—
795	C₂²⋊Q₈	—	2	2	no	—
796	C₂²⋊Q₈	—	2	2	no	—
797	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
798	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
799	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
800	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
801	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
802	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
803	#121	—	2	1	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	D₄×C₁₉	1	1	yes	characteristic
811	#121	C₂³×C₁₉	1	2	yes	—
812	#121	C₂³×C₁₉	1	2	yes	—
813	#120	—	2	2	no	—
814	C₄×Q₈	—	2	1	no	—
815	C₄×Q₈	—	2	1	no	—
816	C₄×Q₈	—	2	1	no	—
817	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
818	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
819	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
820	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
821	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
822	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	—	2	2	no	—
829	C₄×D₄	—	2	2	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
835	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
836	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
837	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
838	C₄×D₄	C₂³×C₁₉	1	2	yes	—
839	C₄×D₄	C₂³×C₁₉	1	2	yes	—
840	C₄×D₄	C₂³×C₁₉	1	2	yes	—
841	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
842	#117	—	2	1	no	—
843	#117	—	2	1	no	—
844	#117	—	2	2	no	—
845	#117	—	2	1	no	—
846	#117	C₂³×C₁₉	1	2	yes	—
847	C₂×C₄⋊C₄	—	2	2	no	—
848	C₂×C₄⋊C₄	—	2	1	no	—
849	C₂×C₄⋊C₄	—	2	2	no	—
850	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
852	C₂×C₂²⋊C₄	—	2	1	no	—
853	C₂×C₂²⋊C₄	—	2	2	no	—
854	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
855	#106	C₂³×C₁₉	1	1	yes	characteristic
856	#106	C₂³×C₁₉	1	1	yes	characteristic
857	#106	C₂³×C₁₉	1	1	yes	characteristic
858	#106	C₂³×C₁₉	1	2	yes	—
859	#106	C₂³×C₁₉	1	1	yes	characteristic
860	#106	C₂³×C₁₉	1	2	yes	—
861	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
862	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
863	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
865	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
866	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
867	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
868	#103	C₂³×C₁₉	1	1	yes	characteristic
869	#103	C₂³×C₁₉	1	2	yes	—
870	#103	C₂³×C₁₉	1	2	yes	—
871	#103	C₂³×C₁₉	1	2	yes	—
872	#103	C₂³×C₁₉	1	2	yes	—
873	#103	C₂³×C₁₉	1	1	yes	characteristic
874	#103	C₂³×C₁₉	1	2	yes	—
875	#103	C₂³×C₁₉	1	2	yes	—
876	#103	C₂³×C₁₉	1	1	yes	characteristic
877	#103	C₂³×C₁₉	1	1	yes	characteristic
878	#103	C₂³×C₁₉	1	2	yes	—
879	#103	C₂³×C₁₉	1	2	yes	—
880	#102	C₂³×C₁₉	1	2	yes	—
881	#102	C₂³×C₁₉	1	2	yes	—
882	#102	C₂³×C₁₉	1	2	yes	—
883	#102	C₂³×C₁₉	1	1	yes	characteristic
884	#102	C₂³×C₁₉	1	1	yes	characteristic
885	#102	C₂³×C₁₉	1	1	yes	characteristic
886	#102	C₂³×C₁₉	1	1	yes	characteristic
887	#102	C₂³×C₁₉	1	2	yes	—
888	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
889	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
890	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
891	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
892	#97	C₂³×C₁₉	1	2	yes	—
893	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
894	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
895	C₄×C₈	C₂³×C₁₉	1	2	yes	—
896	C₁₉	#62042	1	1	yes	characteristic, direct product factor, Sylow
897	C₂⁴	—	2	1	no	—
898	#41	—	2	4	no	—
899	#41	—	4	2	no	—
900	#41	—	4	2	no	—
901	#41	—	4	2	no	—
902	#41	—	4	2	no	—
903	#41	—	4	2	no	—
904	#41	—	8	2	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	1	no	—
907	C₂×Q₈	—	2	2	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	—	8	2	no	—
912	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
914	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
915	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	4	1	no	—
927	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
928	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
929	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
930	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	8	2	no	—
945	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
946	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
949	Q₁₆	—	4	2	no	—
950	Q₁₆	—	4	2	no	—
951	Q₁₆	—	4	2	no	—
952	Q₁₆	—	4	2	no	—
953	SD₁₆	—	2	2	no	—
954	SD₁₆	—	2	4	no	—
955	SD₁₆	—	2	2	no	—
956	SD₁₆	—	4	1	no	—
957	SD₁₆	—	4	2	no	—
958	SD₁₆	—	4	1	no	—
959	SD₁₆	—	4	2	no	—
960	SD₁₆	—	4	2	no	—
961	D₈	—	2	4	no	—
962	D₈	—	4	2	no	—
963	M₁₆	—	4	2	no	—
964	M₁₆	—	4	2	no	—
965	C₂×C₈	—	4	2	no	—
966	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
969	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
970	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
971	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
996	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
997	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
998	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
999	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1000	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1001	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1002	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1003	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1004	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1005	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	—	2	1	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1026	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1028	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1029	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1036	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1037	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1038	C₄²	C₂⁴×C₁₉	1	2	yes	—
1039	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	4	2	no	—
1044	C₂³	—	4	2	no	—
1045	C₂³	—	8	1	no	—
1046	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1047	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	2	1	no	—
1051	Q₈	—	2	1	no	—
1052	Q₈	—	2	2	no	—
1053	Q₈	—	2	2	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	2	1	no	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	4	2	no	—
1058	Q₈	—	8	2	no	—
1059	Q₈	—	8	2	no	—
1060	Q₈	—	8	1	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	4	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	8	1	no	—
1072	D₄	—	8	2	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	8	1	no	—
1096	C₂×C₄	—	8	1	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	1	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1106	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1107	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1108	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1109	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1112	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1113	C₈	—	2	1	no	—
1114	C₈	—	2	2	no	—
1115	C₈	—	2	2	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	1	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	8	4	no	—
1135	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1136	C₄	—	2	2	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	2	1	no	—
1139	C₄	—	2	2	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	2	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	1	no	—
1152	C₄	C₁₉×#577	1	2	yes	—
1153	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1154	C₄	C₁₉×#585	1	1	yes	characteristic
1155	C₂	—	4	1	no	—
1156	C₂	—	4	2	no	—
1157	C₂	—	4	2	no	—
1158	C₂	—	8	1	no	—
1159	C₂	—	8	2	no	—
1160	C₂	C₁₉×#3488	1	1	yes	characteristic
1161	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1162	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3554	C₂	semidirect
2. C₁₉×#3520	C₂	semidirect
3. C₁₉×#3398	C₂	semidirect
4. C₁₉×#3394	C₂	semidirect
5. C₁₉×#3373	C₂	semidirect
6. C₁₉×#3359	C₂	semidirect
7. C₁₉×#3332	C₂	semidirect
8. C₁₉×#3331	C₂	semidirect
9. C₁₉×#3316	C₂	semidirect
10. C₁₉×#3298	C₂	semidirect
11. C₁₉×#3284	C₂	semidirect
12. C₁₉×#3276	C₂	semidirect
13. C₁₉×#3275	C₂	semidirect
14. C₁₉×#3267	C₂	semidirect
15. C₁₉×#3263	C₂	semidirect
16. C₁₉×#3255	C₂	semidirect
17. C₁₉×#3225	C₂	semidirect
18. C₁₉×#3210	C₂	semidirect
19. C₁₉×#3125	C₂	semidirect
20. C₁₉×#3101	C₂	semidirect
21. C₁₉×#3046	C₂	semidirect
22. C₁₉×#3036	C₂	semidirect
23. C₁₉×#2993	C₂	semidirect
29. C₁₉×#559	C₂²	semidirect
30. C₁₉×#557	C₂²	semidirect
36. C₁₉×#550	C₂²	semidirect
38. D₄×Q₈×C₁₉	C₂²	semidirect
47. C₁₉×#542	C₂²	semidirect
51. C₁₉×#536	C₂²	semidirect
62. C₁₉×#494	C₂²	semidirect
63. C₁₉×#492	C₂²	semidirect
64. C₁₉×#489	C₂²	semidirect
65. C₁₉×#487	C₂²	semidirect
66. C₁₉×#487	C₂²	semidirect
67. C₁₉×#486	C₂²	semidirect
70. C₁₉×#483	C₂²	semidirect
71. C₁₉×#481	C₂²	semidirect
74. C₁₉×#476	C₂²	semidirect
75. C₁₉×#475	C₂²	semidirect
76. C₁₉×#475	C₂²	semidirect
77. C₁₉×#475	C₂²	semidirect
78. C₁₉×#475	C₂²	semidirect
81. C₁₉×#470	C₂²	semidirect
84. C₁₉×#465	C₂²	semidirect
86. C₁₉×#464	C₂²	semidirect
87. C₁₉×#464	C₂²	semidirect
88. C₁₉×#464	C₂²	semidirect
93. C₁₉×#462	C₂²	semidirect
94. C₁₉×#462	C₂²	semidirect
95. C₁₉×#462	C₂²	semidirect
96. C₁₉×#462	C₂²	semidirect
107. C₁₉×#452	C₂²	semidirect
108. C₁₉×#451	C₂²	semidirect
114. C₁₉×#446	C₂²	semidirect
115. C₈×Q₈×C₁₉	C₂²	semidirect
117. C₁₉×#441	C₂²	semidirect
123. C₄×SD₁₆×C₁₉	C₂²	semidirect
125. C₁₉×#436	C₂²	semidirect
127. C₈×D₄×C₁₉	C₂²	semidirect
128. C₁₉×#433	C₂²	semidirect
130. C₁₉×#424	C₂²	semidirect
133. C₁₉×#417	C₂²	semidirect
134. C₂×C₁₉×#103	C₂²	semidirect
458. #62042	C₁₉	direct (N × H)
538. #3554	C₂×C₁₉	semidirect
539. #3520	C₂×C₁₉	semidirect
540. #3398	C₂×C₁₉	semidirect
541. #3394	C₂×C₁₉	semidirect
542. #3373	C₂×C₁₉	semidirect
543. #3359	C₂×C₁₉	semidirect
544. #3332	C₂×C₁₉	semidirect
545. #3331	C₂×C₁₉	semidirect
546. #3316	C₂×C₁₉	semidirect
547. #3298	C₂×C₁₉	semidirect
548. #3284	C₂×C₁₉	semidirect
549. #3276	C₂×C₁₉	semidirect
550. #3275	C₂×C₁₉	semidirect
551. #3267	C₂×C₁₉	semidirect
552. #3263	C₂×C₁₉	semidirect
553. #3255	C₂×C₁₉	semidirect
554. #3225	C₂×C₁₉	semidirect
555. #3210	C₂×C₁₉	semidirect
556. #3125	C₂×C₁₉	semidirect
557. #3101	C₂×C₁₉	semidirect
558. #3046	C₂×C₁₉	semidirect
559. #3036	C₂×C₁₉	semidirect
560. #2993	C₂×C₁₉	semidirect
602. #559	C₂²×C₁₉	semidirect
603. #557	C₂²×C₁₉	semidirect
609. #550	C₂²×C₁₉	semidirect
611. D₄×Q₈	C₂²×C₁₉	semidirect
620. #542	C₂²×C₁₉	semidirect
624. #536	C₂²×C₁₉	semidirect
635. #494	C₂²×C₁₉	semidirect
636. #492	C₂²×C₁₉	semidirect
637. #489	C₂²×C₁₉	semidirect
638. #487	C₂²×C₁₉	semidirect
639. #487	C₂²×C₁₉	semidirect
640. #486	C₂²×C₁₉	semidirect
643. #483	C₂²×C₁₉	semidirect
644. #481	C₂²×C₁₉	semidirect
647. #476	C₂²×C₁₉	semidirect
648. #475	C₂²×C₁₉	semidirect
649. #475	C₂²×C₁₉	semidirect
650. #475	C₂²×C₁₉	semidirect
651. #475	C₂²×C₁₉	semidirect
654. #470	C₂²×C₁₉	semidirect
657. #465	C₂²×C₁₉	semidirect
659. #464	C₂²×C₁₉	semidirect
660. #464	C₂²×C₁₉	semidirect
661. #464	C₂²×C₁₉	semidirect
666. #462	C₂²×C₁₉	semidirect
667. #462	C₂²×C₁₉	semidirect
668. #462	C₂²×C₁₉	semidirect
669. #462	C₂²×C₁₉	semidirect
680. #452	C₂²×C₁₉	semidirect
681. #451	C₂²×C₁₉	semidirect
687. #446	C₂²×C₁₉	semidirect
688. C₈×Q₈	C₂²×C₁₉	semidirect
690. #441	C₂²×C₁₉	semidirect
696. C₄×SD₁₆	C₂²×C₁₉	semidirect
698. #436	C₂²×C₁₉	semidirect
700. C₈×D₄	C₂²×C₁₉	semidirect
701. #433	C₂²×C₁₉	semidirect
703. #424	C₂²×C₁₉	semidirect
706. #417	C₂²×C₁₉	semidirect
707. C₂×#103	C₂²×C₁₉	semidirect
896. C₁₉	#62042	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×#3554	2
C₁₉×#3520	2
C₁₉×#3398	2
C₁₉×#3394	2
C₁₉×#3373	2
C₁₉×#3359	2
C₁₉×#3332	2
C₁₉×#3331	2
C₁₉×#3316	2
C₁₉×#3298	2
C₁₉×#3284	2
C₁₉×#3276	2
C₁₉×#3275	2
C₁₉×#3267	2
C₁₉×#3263	2
C₁₉×#3255	2
C₁₉×#3225	2
C₁₉×#3210	2
C₁₉×#3125	2
C₁₉×#3101	2
C₁₉×#3046	2
C₁₉×#3036	2
C₁₉×#2993	2
#62042	19

Subgroups — C19×#62042 #18068001

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62042 #18068001