Subgroups — C₁₉×#62261 #18068220

Order 4864.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3505	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3355	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3352	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3351	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3327	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3326	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3323	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3322	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3277	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3275	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3273	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3250	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3190	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3188	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3056	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3055	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₉×#436	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×#137	C₂²	1	2	yes	complemented
21	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
22	C₂²×M₁₆×C₁₉	C₂²	1	2	yes	complemented
23	C₁₉×#553	—	2	2	no	—
24	C₁₉×#553	—	2	2	no	—
25	C₁₉×#553	C₂²	1	2	yes	—
26	C₁₉×#553	C₂²	1	2	yes	complemented
27	C₁₉×#552	C₂²	1	2	yes	—
28	C₁₉×#552	C₂²	1	2	yes	complemented
29	C₁₉×#551	—	2	2	no	—
30	C₁₉×#551	—	2	2	no	—
31	C₁₉×#548	C₂²	1	2	yes	—
32	C₁₉×#548	C₂²	1	2	yes	complemented
33	C₁₉×#546	C₂²	1	2	yes	—
34	C₁₉×#546	C₂²	1	2	yes	complemented
35	C₁₉×#539	—	2	2	no	—
36	C₁₉×#538	—	2	2	no	—
37	C₁₉×#534	—	2	2	no	—
38	C₁₉×#529	C₂²	1	2	yes	complemented
39	C₁₉×#529	C₂²	1	2	yes	complemented
40	C₁₉×#525	C₂²	1	2	yes	—
41	C₁₉×#525	C₂²	1	2	yes	—
42	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
43	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
44	C₁₉×#518	—	2	2	no	—
45	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
46	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#488	C₂²	1	2	yes	complemented
51	C₁₉×#488	C₂²	1	2	yes	complemented
52	C₁₉×#485	C₂²	1	2	yes	complemented
53	C₁₉×#485	C₂²	1	2	yes	complemented
54	C₁₉×#484	C₂²	1	2	yes	complemented
55	C₁₉×#483	C₂²	1	2	yes	complemented
56	C₁₉×#482	C₂²	1	2	yes	complemented
57	C₁₉×#482	C₂²	1	2	yes	complemented
58	C₁₉×#481	C₂²	1	2	yes	complemented
59	C₁₉×#480	C₂²	1	2	yes	complemented
60	C₁₉×#479	C₂²	1	2	yes	complemented
61	C₁₉×#479	C₂²	1	2	yes	complemented
62	C₁₉×#478	C₂²	1	2	yes	complemented
63	C₁₉×#478	C₂²	1	2	yes	complemented
64	C₁₉×#470	C₂²	1	2	yes	complemented
65	C₁₉×#470	C₂²	1	2	yes	complemented
66	C₁₉×#469	C₂²	1	2	yes	complemented
67	C₁₉×#469	C₂²	1	2	yes	complemented
68	C₁₉×#468	C₂²	1	2	yes	complemented
69	C₁₉×#468	C₂²	1	2	yes	complemented
70	C₁₉×#468	C₂²	1	2	yes	complemented
71	C₁₉×#468	C₂²	1	2	yes	complemented
72	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#467	C₂²	1	2	yes	complemented
75	C₁₉×#466	C₂²	1	1	yes	characteristic
76	C₁₉×#466	C₂²	1	1	yes	characteristic
77	C₁₉×#466	C₂²	1	2	yes	—
78	C₁₉×#465	C₂²	1	2	yes	complemented
79	C₁₉×#465	C₂²	1	2	yes	complemented
80	C₁₉×#465	C₂²	1	2	yes	complemented
81	C₁₉×#465	C₂²	1	2	yes	complemented
82	C₁₉×#464	C₂²	1	2	yes	complemented
83	C₁₉×#464	C₂²	1	2	yes	complemented
84	C₁₉×#463	C₂²	1	2	yes	complemented
85	C₁₉×#463	C₂²	1	2	yes	complemented
86	C₁₉×#452	C₂²	1	2	yes	complemented
87	C₁₉×#452	C₂²	1	2	yes	complemented
88	C₁₉×#451	C₂²	1	2	yes	complemented
89	C₁₉×#450	C₂²	1	2	yes	complemented
90	C₁₉×#449	C₂²	1	2	yes	complemented
91	C₁₉×#449	C₂²	1	2	yes	complemented
92	C₁₉×#448	C₂²	1	2	yes	complemented
93	C₁₉×#447	C₂²	1	2	yes	complemented
94	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
95	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
96	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
97	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
98	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
99	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
100	C₁₉×#436	C₂²	1	1	yes	characteristic
101	C₁₉×#436	C₂²	1	1	yes	characteristic
102	C₁₉×#436	C₂²	1	2	yes	complemented
103	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
104	C₁₉×#436	C₂²	1	2	yes	complemented
105	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
106	C₁₉×#428	C₂²	1	2	yes	complemented
107	C₁₉×#428	C₂²	1	2	yes	complemented
108	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#419	C₂²	1	2	yes	complemented
110	C₁₉×#418	C₂²	1	2	yes	complemented
111	C₁₉×#417	C₂²	1	2	yes	complemented
112	C₁₉×#417	C₂²	1	2	yes	complemented
113	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	complemented
114	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₁₉	C₂³	1	2	yes	—
116	C₂×#41×C₁₉	C₂³	1	2	yes	—
117	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₉	—	2	2	no	—
119	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
120	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
121	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
122	C₁₉×#137	—	4	4	no	—
123	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
124	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
125	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
126	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
127	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
131	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
132	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
133	C₂×D₈×C₁₉	C₂³	1	2	yes	—
134	C₂×M₁₆×C₁₉	—	4	4	no	—
135	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
136	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
137	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
138	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
139	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
142	C₁₉×#126	—	2	2	no	—
143	C₁₉×#126	—	2	2	no	—
144	C₁₉×#126	—	2	2	no	—
145	C₁₉×#126	—	2	2	no	—
146	C₁₉×#126	—	2	2	no	—
147	C₁₉×#126	—	2	2	no	—
148	C₁₉×#125	—	2	2	no	—
149	C₁₉×#125	—	2	2	no	—
150	C₁₉×#125	C₂³	1	2	yes	—
151	C₁₉×#125	C₂³	1	2	yes	—
152	C₁₉×#124	—	2	2	no	—
153	C₁₉×#124	—	2	2	no	—
154	C₁₉×#124	C₂³	1	2	yes	—
155	C₁₉×#124	C₂³	1	2	yes	—
156	C₁₉×#123	—	2	2	no	—
157	C₁₉×#123	—	2	2	no	—
158	C₁₉×#123	—	2	2	no	—
159	C₁₉×#123	—	2	2	no	—
160	C₁₉×#123	—	2	2	no	—
161	C₁₉×#123	—	2	2	no	—
162	C₁₉×#123	—	2	2	no	—
163	C₁₉×#123	—	2	2	no	—
164	C₁₉×#123	—	2	2	no	—
165	C₁₉×#123	—	2	2	no	—
166	C₁₉×C₂²⋊Q₈	—	2	2	no	—
167	C₁₉×C₂²⋊Q₈	—	2	2	no	—
168	C₁₉×C₂²⋊Q₈	—	2	2	no	—
169	C₁₉×C₂²⋊Q₈	—	2	2	no	—
170	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
171	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
172	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
173	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
174	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
175	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
176	C₁₉×#121	—	2	2	no	—
177	C₁₉×#121	—	2	2	no	—
178	C₁₉×#121	—	2	2	no	—
179	C₁₉×#121	—	2	2	no	—
180	C₁₉×#121	—	2	2	no	—
181	C₁₉×#121	—	2	2	no	—
182	C₁₉×#121	—	2	2	no	—
183	C₁₉×#121	—	2	2	no	—
184	C₁₉×#121	C₂³	1	2	yes	—
185	C₁₉×#121	C₂³	1	2	yes	—
186	C₁₉×#121	C₂³	1	2	yes	—
187	C₁₉×#121	C₂³	1	2	yes	—
188	C₁₉×#121	C₂³	1	2	yes	—
189	C₁₉×#121	C₂³	1	2	yes	—
190	C₁₉×#120	—	2	2	no	—
191	C₁₉×#120	—	2	2	no	—
192	C₁₉×#120	—	2	2	no	—
193	C₁₉×#120	—	2	2	no	—
194	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
195	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
196	C₄×D₄×C₁₉	—	2	2	no	—
197	C₄×D₄×C₁₉	—	2	2	no	—
198	C₄×D₄×C₁₉	—	2	2	no	—
199	C₄×D₄×C₁₉	—	2	2	no	—
200	C₄×D₄×C₁₉	—	2	2	no	—
201	C₄×D₄×C₁₉	—	2	2	no	—
202	C₄×D₄×C₁₉	—	2	2	no	—
203	C₄×D₄×C₁₉	—	2	2	no	—
204	C₄×D₄×C₁₉	—	2	2	no	—
205	C₄×D₄×C₁₉	—	2	2	no	—
206	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
207	C₄×D₄×C₁₉	D₄	1	2	yes	—
208	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
209	C₄×D₄×C₁₉	C₂³	1	2	yes	—
210	C₄×D₄×C₁₉	C₂³	1	2	yes	—
211	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
212	C₄×D₄×C₁₉	C₂³	1	2	yes	—
213	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₁₉×#117	—	2	2	no	—
215	C₁₉×#117	—	2	2	no	—
216	C₁₉×#117	—	2	2	no	—
217	C₁₉×#117	—	2	2	no	—
218	C₁₉×#117	C₂³	1	2	yes	—
219	C₁₉×#117	C₂³	1	2	yes	—
220	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
221	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
223	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
225	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
226	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
227	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
228	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
229	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
230	C₁₉×#107	C₂³	1	1	yes	characteristic
231	C₁₉×#107	C₂³	1	1	yes	characteristic
232	C₁₉×#107	C₂³	1	2	yes	—
233	C₁₉×#107	C₂³	1	2	yes	—
234	C₁₉×#107	C₂³	1	1	yes	characteristic
235	C₁₉×#107	C₂³	1	1	yes	characteristic
236	C₁₉×#106	C₂³	1	2	yes	—
237	C₁₉×#106	C₂³	1	2	yes	—
238	C₁₉×#106	C₂³	1	2	yes	—
239	C₁₉×#106	C₂³	1	2	yes	—
240	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
241	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
242	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
243	C₁₉×#103	C₂³	1	2	yes	—
244	C₁₉×#103	C₂³	1	2	yes	—
245	C₁₉×#103	C₂³	1	2	yes	—
246	C₁₉×#103	C₂³	1	2	yes	—
247	C₁₉×#103	C₂³	1	2	yes	—
248	C₁₉×#103	C₂³	1	2	yes	—
249	C₁₉×#103	C₂³	1	2	yes	—
250	C₁₉×#103	C₂³	1	2	yes	—
251	C₁₉×#102	C₂³	1	2	yes	—
252	C₁₉×#102	C₂³	1	2	yes	—
253	C₁₉×#102	C₂³	1	2	yes	—
254	C₁₉×#102	C₂³	1	2	yes	—
255	C₁₉×#102	C₂³	1	2	yes	—
256	C₁₉×#102	C₂³	1	2	yes	—
257	C₁₉×#102	C₂³	1	2	yes	—
258	C₁₉×#102	C₂³	1	2	yes	—
259	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
260	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
261	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
262	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
263	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
264	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
265	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
266	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
267	C₂⁴×C₁₉	—	2	2	no	—
268	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
269	#41×C₁₉	—	4	2	no	—
270	#41×C₁₉	—	4	2	no	—
271	#41×C₁₉	—	4	2	no	—
272	#41×C₁₉	—	4	2	no	—
273	C₂×Q₈×C₁₉	—	2	2	no	—
274	C₂×Q₈×C₁₉	—	4	2	no	—
275	C₂×Q₈×C₁₉	—	4	2	no	—
276	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
277	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
278	C₂×D₄×C₁₉	—	2	2	no	—
279	C₂×D₄×C₁₉	—	2	2	no	—
280	C₂×D₄×C₁₉	—	2	2	no	—
281	C₂×D₄×C₁₉	—	2	2	no	—
282	C₂×D₄×C₁₉	—	2	2	no	—
283	C₂×D₄×C₁₉	—	2	2	no	—
284	C₂×D₄×C₁₉	—	2	2	no	—
285	C₂×D₄×C₁₉	—	2	2	no	—
286	C₂×D₄×C₁₉	—	2	2	no	—
287	C₂×D₄×C₁₉	—	4	2	no	—
288	C₂×D₄×C₁₉	—	4	2	no	—
289	C₂×D₄×C₁₉	—	4	2	no	—
290	C₂×D₄×C₁₉	—	4	8	no	—
291	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
292	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
293	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
294	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
295	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₉	—	2	2	no	—
297	C₂²×C₄×C₁₉	—	2	2	no	—
298	C₂²×C₄×C₁₉	—	2	2	no	—
299	C₂²×C₄×C₁₉	—	2	2	no	—
300	C₂²×C₄×C₁₉	—	2	2	no	—
301	C₂²×C₄×C₁₉	—	2	2	no	—
302	C₂²×C₄×C₁₉	—	2	2	no	—
303	C₂²×C₄×C₁₉	—	4	2	no	—
304	C₂²×C₄×C₁₉	—	4	2	no	—
305	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
306	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
307	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
308	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
309	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
310	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
313	Q₁₆×C₁₉	—	2	2	no	—
314	Q₁₆×C₁₉	—	4	1	no	—
315	Q₁₆×C₁₉	—	4	2	no	—
316	SD₁₆×C₁₉	—	2	4	no	—
317	SD₁₆×C₁₉	—	4	2	no	—
318	SD₁₆×C₁₉	—	4	2	no	—
319	SD₁₆×C₁₉	—	4	2	no	—
320	D₈×C₁₉	—	2	2	no	—
321	D₈×C₁₉	—	4	1	no	—
322	D₈×C₁₉	—	4	2	no	—
323	M₁₆×C₁₉	—	2	4	no	—
324	M₁₆×C₁₉	—	2	4	no	—
325	M₁₆×C₁₉	—	4	2	no	—
326	M₁₆×C₁₉	—	4	2	no	—
327	C₂×C₈×C₁₉	—	2	2	no	—
328	C₂×C₈×C₁₉	—	4	1	no	—
329	C₂×C₈×C₁₉	—	4	2	no	—
330	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
331	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
332	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
333	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
335	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
336	C₄⋊C₄×C₁₉	—	2	2	no	—
337	C₄⋊C₄×C₁₉	—	2	2	no	—
338	C₄⋊C₄×C₁₉	—	2	2	no	—
339	C₄⋊C₄×C₁₉	—	2	2	no	—
340	C₄⋊C₄×C₁₉	—	2	2	no	—
341	C₄⋊C₄×C₁₉	—	2	2	no	—
342	C₄⋊C₄×C₁₉	—	2	2	no	—
343	C₄⋊C₄×C₁₉	—	2	2	no	—
344	C₄⋊C₄×C₁₉	—	2	2	no	—
345	C₄⋊C₄×C₁₉	—	2	2	no	—
346	C₄⋊C₄×C₁₉	—	2	2	no	—
347	C₄⋊C₄×C₁₉	—	2	2	no	—
348	C₄⋊C₄×C₁₉	—	2	2	no	—
349	C₄⋊C₄×C₁₉	—	2	2	no	—
350	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
351	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
352	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
353	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
354	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
355	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
356	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
357	C₂²⋊C₄×C₁₉	—	2	2	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	2	no	—
362	C₂²⋊C₄×C₁₉	—	2	2	no	—
363	C₂²⋊C₄×C₁₉	—	2	2	no	—
364	C₂²⋊C₄×C₁₉	—	2	2	no	—
365	C₂²⋊C₄×C₁₉	—	2	2	no	—
366	C₂²⋊C₄×C₁₉	—	2	2	no	—
367	C₂²⋊C₄×C₁₉	—	2	2	no	—
368	C₂²⋊C₄×C₁₉	—	2	2	no	—
369	C₂²⋊C₄×C₁₉	—	2	2	no	—
370	C₂²⋊C₄×C₁₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₉	—	2	2	no	—
374	C₂²⋊C₄×C₁₉	—	2	2	no	—
375	C₂²⋊C₄×C₁₉	—	2	2	no	—
376	C₂²⋊C₄×C₁₉	—	2	2	no	—
377	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
378	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
379	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
380	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
381	C₄²×C₁₉	—	2	2	no	—
382	C₄²×C₁₉	—	2	2	no	—
383	C₄²×C₁₉	—	2	2	no	—
384	C₄²×C₁₉	—	2	2	no	—
385	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
386	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
387	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
388	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
389	#62261	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
390	C₂³×C₁₉	—	2	4	no	—
391	C₂³×C₁₉	—	2	2	no	—
392	C₂³×C₁₉	—	2	2	no	—
393	C₂³×C₁₉	—	4	2	no	—
394	C₂³×C₁₉	—	4	2	no	—
395	C₂³×C₁₉	—	4	4	no	—
396	C₂³×C₁₉	—	8	2	no	—
397	C₂³×C₁₉	—	8	2	no	—
398	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
399	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
400	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
401	Q₈×C₁₉	—	2	2	no	—
402	Q₈×C₁₉	—	2	2	no	—
403	Q₈×C₁₉	—	2	2	no	—
404	Q₈×C₁₉	—	2	2	no	—
405	Q₈×C₁₉	—	8	2	no	—
406	D₄×C₁₉	—	2	2	no	—
407	D₄×C₁₉	—	2	2	no	—
408	D₄×C₁₉	—	2	2	no	—
409	D₄×C₁₉	—	2	2	no	—
410	D₄×C₁₉	—	4	1	no	—
411	D₄×C₁₉	—	4	2	no	—
412	D₄×C₁₉	—	4	1	no	—
413	D₄×C₁₉	—	4	4	no	—
414	D₄×C₁₉	—	4	4	no	—
415	D₄×C₁₉	—	4	4	no	—
416	D₄×C₁₉	—	4	4	no	—
417	D₄×C₁₉	—	8	2	no	—
418	D₄×C₁₉	—	8	2	no	—
419	D₄×C₁₉	—	8	2	no	—
420	D₄×C₁₉	—	8	2	no	—
421	D₄×C₁₉	—	8	2	no	—
422	C₂×C₄×C₁₉	—	2	2	no	—
423	C₂×C₄×C₁₉	—	2	1	no	—
424	C₂×C₄×C₁₉	—	2	2	no	—
425	C₂×C₄×C₁₉	—	2	2	no	—
426	C₂×C₄×C₁₉	—	2	1	no	—
427	C₂×C₄×C₁₉	—	2	2	no	—
428	C₂×C₄×C₁₉	—	2	2	no	—
429	C₂×C₄×C₁₉	—	2	2	no	—
430	C₂×C₄×C₁₉	—	2	2	no	—
431	C₂×C₄×C₁₉	—	2	2	no	—
432	C₂×C₄×C₁₉	—	2	2	no	—
433	C₂×C₄×C₁₉	—	2	2	no	—
434	C₂×C₄×C₁₉	—	2	2	no	—
435	C₂×C₄×C₁₉	—	4	2	no	—
436	C₂×C₄×C₁₉	—	4	2	no	—
437	C₂×C₄×C₁₉	—	4	2	no	—
438	C₂×C₄×C₁₉	—	4	1	no	—
439	C₂×C₄×C₁₉	—	4	4	no	—
440	C₂×C₄×C₁₉	—	8	2	no	—
441	C₂×C₄×C₁₉	—	8	2	no	—
442	C₂×C₄×C₁₉	—	8	2	no	—
443	C₂×C₄×C₁₉	—	8	2	no	—
444	C₂×C₄×C₁₉	—	8	2	no	—
445	C₂×C₄×C₁₉	—	8	2	no	—
446	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
447	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
448	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
449	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
450	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
451	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
452	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
453	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
454	C₈×C₁₉	—	2	1	no	—
455	C₈×C₁₉	—	2	2	no	—
456	C₈×C₁₉	—	2	2	no	—
457	C₈×C₁₉	—	2	1	no	—
458	C₈×C₁₉	—	2	1	no	—
459	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
460	#3505	C₂×C₁₉	1	2	yes	complemented
461	#3355	C₂×C₁₉	1	1	yes	characteristic, complemented
462	#3352	C₂×C₁₉	1	1	yes	characteristic, complemented
463	#3351	C₂×C₁₉	1	2	yes	complemented
464	#3327	C₂×C₁₉	1	2	yes	complemented
465	#3326	C₂×C₁₉	1	2	yes	complemented
466	#3323	C₂×C₁₉	1	2	yes	complemented
467	#3322	C₂×C₁₉	1	2	yes	complemented
468	#3277	C₂×C₁₉	1	1	yes	characteristic, complemented
469	#3275	C₂×C₁₉	1	2	yes	complemented
470	#3273	C₂×C₁₉	1	1	yes	characteristic, complemented
471	#3250	C₂×C₁₉	1	2	yes	complemented
472	#3190	C₂×C₁₉	1	2	yes	complemented
473	#3188	C₂×C₁₉	1	2	yes	complemented
474	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
475	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
476	#3056	C₂×C₁₉	1	2	yes	complemented
477	#3055	C₂×C₁₉	1	2	yes	complemented
478	C₂×#436	C₂×C₁₉	1	1	yes	characteristic, complemented
479	C₂²×C₁₉	—	2	1	no	—
480	C₂²×C₁₉	—	2	1	no	—
481	C₂²×C₁₉	—	2	2	no	—
482	C₂²×C₁₉	—	2	2	no	—
483	C₂²×C₁₉	—	2	2	no	—
484	C₂²×C₁₉	—	2	2	no	—
485	C₂²×C₁₉	—	2	2	no	—
486	C₂²×C₁₉	—	2	2	no	—
487	C₂²×C₁₉	—	4	2	no	—
488	C₂²×C₁₉	—	4	2	no	—
489	C₂²×C₁₉	—	4	2	no	—
490	C₂²×C₁₉	—	4	2	no	—
491	C₂²×C₁₉	—	4	2	no	—
492	C₂²×C₁₉	—	4	2	no	—
493	C₂²×C₁₉	—	8	4	no	—
494	C₂²×C₁₉	—	16	4	no	—
495	C₂²×C₁₉	#575	1	2	yes	—
496	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
497	C₄×C₁₉	—	2	1	no	—
498	C₄×C₁₉	—	2	1	no	—
499	C₄×C₁₉	—	2	1	no	—
500	C₄×C₁₉	—	2	2	no	—
501	C₄×C₁₉	—	2	2	no	—
502	C₄×C₁₉	—	2	1	no	—
503	C₄×C₁₉	—	2	1	no	—
504	C₄×C₁₉	—	4	2	no	—
505	C₄×C₁₉	—	4	2	no	—
506	C₄×C₁₉	—	4	2	no	—
507	C₄×C₁₉	—	4	2	no	—
508	C₄×C₁₉	—	4	2	no	—
509	C₄×C₁₉	—	4	2	no	—
510	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
511	C₄×C₁₉	#585	1	1	yes	characteristic
512	C₂×#137	C₂²×C₁₉	1	2	yes	complemented
513	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
514	C₂²×M₁₆	C₂²×C₁₉	1	2	yes	complemented
515	#553	—	2	2	no	—
516	#553	—	2	2	no	—
517	#553	C₂²×C₁₉	1	2	yes	—
518	#553	C₂²×C₁₉	1	2	yes	complemented
519	#552	C₂²×C₁₉	1	2	yes	—
520	#552	C₂²×C₁₉	1	2	yes	complemented
521	#551	—	2	2	no	—
522	#551	—	2	2	no	—
523	#548	C₂²×C₁₉	1	2	yes	—
524	#548	C₂²×C₁₉	1	2	yes	complemented
525	#546	C₂²×C₁₉	1	2	yes	—
526	#546	C₂²×C₁₉	1	2	yes	complemented
527	#539	—	2	2	no	—
528	#538	—	2	2	no	—
529	#534	—	2	2	no	—
530	#529	C₂²×C₁₉	1	2	yes	complemented
531	#529	C₂²×C₁₉	1	2	yes	complemented
532	#525	C₂²×C₁₉	1	2	yes	—
533	#525	C₂²×C₁₉	1	2	yes	—
534	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
535	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
536	#518	—	2	2	no	—
537	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
538	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
539	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
540	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
541	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
542	#488	C₂²×C₁₉	1	2	yes	complemented
543	#488	C₂²×C₁₉	1	2	yes	complemented
544	#485	C₂²×C₁₉	1	2	yes	complemented
545	#485	C₂²×C₁₉	1	2	yes	complemented
546	#484	C₂²×C₁₉	1	2	yes	complemented
547	#483	C₂²×C₁₉	1	2	yes	complemented
548	#482	C₂²×C₁₉	1	2	yes	complemented
549	#482	C₂²×C₁₉	1	2	yes	complemented
550	#481	C₂²×C₁₉	1	2	yes	complemented
551	#480	C₂²×C₁₉	1	2	yes	complemented
552	#479	C₂²×C₁₉	1	2	yes	complemented
553	#479	C₂²×C₁₉	1	2	yes	complemented
554	#478	C₂²×C₁₉	1	2	yes	complemented
555	#478	C₂²×C₁₉	1	2	yes	complemented
556	#470	C₂²×C₁₉	1	2	yes	complemented
557	#470	C₂²×C₁₉	1	2	yes	complemented
558	#469	C₂²×C₁₉	1	2	yes	complemented
559	#469	C₂²×C₁₉	1	2	yes	complemented
560	#468	C₂²×C₁₉	1	2	yes	complemented
561	#468	C₂²×C₁₉	1	2	yes	complemented
562	#468	C₂²×C₁₉	1	2	yes	complemented
563	#468	C₂²×C₁₉	1	2	yes	complemented
564	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
565	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
566	#467	C₂²×C₁₉	1	2	yes	complemented
567	#466	C₂²×C₁₉	1	1	yes	characteristic
568	#466	C₂²×C₁₉	1	1	yes	characteristic
569	#466	C₂²×C₁₉	1	2	yes	—
570	#465	C₂²×C₁₉	1	2	yes	complemented
571	#465	C₂²×C₁₉	1	2	yes	complemented
572	#465	C₂²×C₁₉	1	2	yes	complemented
573	#465	C₂²×C₁₉	1	2	yes	complemented
574	#464	C₂²×C₁₉	1	2	yes	complemented
575	#464	C₂²×C₁₉	1	2	yes	complemented
576	#463	C₂²×C₁₉	1	2	yes	complemented
577	#463	C₂²×C₁₉	1	2	yes	complemented
578	#452	C₂²×C₁₉	1	2	yes	complemented
579	#452	C₂²×C₁₉	1	2	yes	complemented
580	#451	C₂²×C₁₉	1	2	yes	complemented
581	#450	C₂²×C₁₉	1	2	yes	complemented
582	#449	C₂²×C₁₉	1	2	yes	complemented
583	#449	C₂²×C₁₉	1	2	yes	complemented
584	#448	C₂²×C₁₉	1	2	yes	complemented
585	#447	C₂²×C₁₉	1	2	yes	complemented
586	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
587	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
588	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
589	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
590	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
591	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
592	#436	C₂²×C₁₉	1	1	yes	characteristic
593	#436	C₂²×C₁₉	1	1	yes	characteristic
594	#436	C₂²×C₁₉	1	2	yes	complemented
595	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
596	#436	C₂²×C₁₉	1	2	yes	complemented
597	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
598	#428	C₂²×C₁₉	1	2	yes	complemented
599	#428	C₂²×C₁₉	1	2	yes	complemented
600	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
601	#419	C₂²×C₁₉	1	2	yes	complemented
602	#418	C₂²×C₁₉	1	2	yes	complemented
603	#417	C₂²×C₁₉	1	2	yes	complemented
604	#417	C₂²×C₁₉	1	2	yes	complemented
605	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	complemented
606	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
607	C₂×C₁₉	—	2	2	no	—
608	C₂×C₁₉	—	4	2	no	—
609	C₂×C₁₉	—	4	2	no	—
610	C₂×C₁₉	—	8	2	no	—
611	C₂×C₁₉	—	8	2	no	—
612	C₂×C₁₉	#3496	1	1	yes	characteristic
613	C₂×C₁₉	C₂×#575	1	1	yes	characteristic
614	C₂×C₁₉	#3584	1	1	yes	characteristic
615	C₂×#41	C₂³×C₁₉	1	2	yes	—
616	C₂×#41	C₂³×C₁₉	1	2	yes	—
617	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
618	C₂²×D₄	—	2	2	no	—
619	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
620	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
621	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
622	#137	—	4	4	no	—
623	AGL(1,ℤ/8)	—	4	4	no	—
624	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
625	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
626	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
627	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
628	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
629	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
630	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
631	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
632	C₂×D₈	C₂³×C₁₉	1	2	yes	—
633	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
634	C₂×M₁₆	—	4	4	no	—
635	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
636	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
637	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
638	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
639	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
640	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
641	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
642	#126	—	2	2	no	—
643	#126	—	2	2	no	—
644	#126	—	2	2	no	—
645	#126	—	2	2	no	—
646	#126	—	2	2	no	—
647	#126	—	2	2	no	—
648	#125	—	2	2	no	—
649	#125	—	2	2	no	—
650	#125	C₂³×C₁₉	1	2	yes	—
651	#125	C₂³×C₁₉	1	2	yes	—
652	#124	—	2	2	no	—
653	#124	—	2	2	no	—
654	#124	C₂³×C₁₉	1	2	yes	—
655	#124	C₂³×C₁₉	1	2	yes	—
656	#123	—	2	2	no	—
657	#123	—	2	2	no	—
658	#123	—	2	2	no	—
659	#123	—	2	2	no	—
660	#123	—	2	2	no	—
661	#123	—	2	2	no	—
662	#123	—	2	2	no	—
663	#123	—	2	2	no	—
664	#123	—	2	2	no	—
665	#123	—	2	2	no	—
666	C₂²⋊Q₈	—	2	2	no	—
667	C₂²⋊Q₈	—	2	2	no	—
668	C₂²⋊Q₈	—	2	2	no	—
669	C₂²⋊Q₈	—	2	2	no	—
670	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
671	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
672	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
673	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
674	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
675	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
676	#121	—	2	2	no	—
677	#121	—	2	2	no	—
678	#121	—	2	2	no	—
679	#121	—	2	2	no	—
680	#121	—	2	2	no	—
681	#121	—	2	2	no	—
682	#121	—	2	2	no	—
683	#121	—	2	2	no	—
684	#121	C₂³×C₁₉	1	2	yes	—
685	#121	C₂³×C₁₉	1	2	yes	—
686	#121	C₂³×C₁₉	1	2	yes	—
687	#121	C₂³×C₁₉	1	2	yes	—
688	#121	C₂³×C₁₉	1	2	yes	—
689	#121	C₂³×C₁₉	1	2	yes	—
690	#120	—	2	2	no	—
691	#120	—	2	2	no	—
692	#120	—	2	2	no	—
693	#120	—	2	2	no	—
694	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
695	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
696	C₄×D₄	—	2	2	no	—
697	C₄×D₄	—	2	2	no	—
698	C₄×D₄	—	2	2	no	—
699	C₄×D₄	—	2	2	no	—
700	C₄×D₄	—	2	2	no	—
701	C₄×D₄	—	2	2	no	—
702	C₄×D₄	—	2	2	no	—
703	C₄×D₄	—	2	2	no	—
704	C₄×D₄	—	2	2	no	—
705	C₄×D₄	—	2	2	no	—
706	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
707	C₄×D₄	D₄×C₁₉	1	2	yes	—
708	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
709	C₄×D₄	C₂³×C₁₉	1	2	yes	—
710	C₄×D₄	C₂³×C₁₉	1	2	yes	—
711	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
712	C₄×D₄	C₂³×C₁₉	1	2	yes	—
713	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
714	#117	—	2	2	no	—
715	#117	—	2	2	no	—
716	#117	—	2	2	no	—
717	#117	—	2	2	no	—
718	#117	C₂³×C₁₉	1	2	yes	—
719	#117	C₂³×C₁₉	1	2	yes	—
720	C₂×C₄⋊C₄	—	2	2	no	—
721	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
724	C₂×C₂²⋊C₄	—	2	2	no	—
725	C₂×C₂²⋊C₄	—	2	2	no	—
726	C₂×C₂²⋊C₄	—	2	2	no	—
727	C₂×C₂²⋊C₄	—	2	2	no	—
728	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
729	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
730	#107	C₂³×C₁₉	1	1	yes	characteristic
731	#107	C₂³×C₁₉	1	1	yes	characteristic
732	#107	C₂³×C₁₉	1	2	yes	—
733	#107	C₂³×C₁₉	1	2	yes	—
734	#107	C₂³×C₁₉	1	1	yes	characteristic
735	#107	C₂³×C₁₉	1	1	yes	characteristic
736	#106	C₂³×C₁₉	1	2	yes	—
737	#106	C₂³×C₁₉	1	2	yes	—
738	#106	C₂³×C₁₉	1	2	yes	—
739	#106	C₂³×C₁₉	1	2	yes	—
740	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
741	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
742	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
743	#103	C₂³×C₁₉	1	2	yes	—
744	#103	C₂³×C₁₉	1	2	yes	—
745	#103	C₂³×C₁₉	1	2	yes	—
746	#103	C₂³×C₁₉	1	2	yes	—
747	#103	C₂³×C₁₉	1	2	yes	—
748	#103	C₂³×C₁₉	1	2	yes	—
749	#103	C₂³×C₁₉	1	2	yes	—
750	#103	C₂³×C₁₉	1	2	yes	—
751	#102	C₂³×C₁₉	1	2	yes	—
752	#102	C₂³×C₁₉	1	2	yes	—
753	#102	C₂³×C₁₉	1	2	yes	—
754	#102	C₂³×C₁₉	1	2	yes	—
755	#102	C₂³×C₁₉	1	2	yes	—
756	#102	C₂³×C₁₉	1	2	yes	—
757	#102	C₂³×C₁₉	1	2	yes	—
758	#102	C₂³×C₁₉	1	2	yes	—
759	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
760	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
761	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
762	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
763	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
764	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
765	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
766	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
767	C₁₉	#62261	1	1	yes	characteristic, direct product factor, Sylow
768	C₂⁴	—	2	2	no	—
769	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
770	#41	—	4	2	no	—
771	#41	—	4	2	no	—
772	#41	—	4	2	no	—
773	#41	—	4	2	no	—
774	C₂×Q₈	—	2	2	no	—
775	C₂×Q₈	—	4	2	no	—
776	C₂×Q₈	—	4	2	no	—
777	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
778	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	2	2	no	—
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	2	no	—
783	C₂×D₄	—	2	2	no	—
784	C₂×D₄	—	2	2	no	—
785	C₂×D₄	—	2	2	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	2	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	—	4	2	no	—
790	C₂×D₄	—	4	2	no	—
791	C₂×D₄	—	4	8	no	—
792	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
793	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
794	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
795	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
796	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
797	C₂²×C₄	—	2	2	no	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	—	4	2	no	—
806	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
807	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
808	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
809	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
810	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
814	Q₁₆	—	2	2	no	—
815	Q₁₆	—	4	1	no	—
816	Q₁₆	—	4	2	no	—
817	SD₁₆	—	2	4	no	—
818	SD₁₆	—	4	2	no	—
819	SD₁₆	—	4	2	no	—
820	SD₁₆	—	4	2	no	—
821	D₈	—	2	2	no	—
822	D₈	—	4	1	no	—
823	D₈	—	4	2	no	—
824	M₁₆	—	2	4	no	—
825	M₁₆	—	2	4	no	—
826	M₁₆	—	4	2	no	—
827	M₁₆	—	4	2	no	—
828	C₂×C₈	—	2	2	no	—
829	C₂×C₈	—	4	1	no	—
830	C₂×C₈	—	4	2	no	—
831	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
832	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
833	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
834	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
835	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
836	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	2	no	—
851	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
852	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
853	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
854	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
855	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
856	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
857	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
858	C₂²⋊C₄	—	2	2	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	2	no	—
866	C₂²⋊C₄	—	2	2	no	—
867	C₂²⋊C₄	—	2	2	no	—
868	C₂²⋊C₄	—	2	2	no	—
869	C₂²⋊C₄	—	2	2	no	—
870	C₂²⋊C₄	—	2	2	no	—
871	C₂²⋊C₄	—	2	2	no	—
872	C₂²⋊C₄	—	2	2	no	—
873	C₂²⋊C₄	—	2	2	no	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	2	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
879	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
880	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
881	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
882	C₄²	—	2	2	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	2	no	—
886	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
887	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
888	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
889	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
890	C₂³	—	2	4	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	4	2	no	—
894	C₂³	—	4	2	no	—
895	C₂³	—	4	4	no	—
896	C₂³	—	8	2	no	—
897	C₂³	—	8	2	no	—
898	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
899	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
900	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
901	Q₈	—	2	2	no	—
902	Q₈	—	2	2	no	—
903	Q₈	—	2	2	no	—
904	Q₈	—	2	2	no	—
905	Q₈	—	8	2	no	—
906	D₄	—	2	2	no	—
907	D₄	—	2	2	no	—
908	D₄	—	2	2	no	—
909	D₄	—	2	2	no	—
910	D₄	—	4	1	no	—
911	D₄	—	4	2	no	—
912	D₄	—	4	1	no	—
913	D₄	—	4	4	no	—
914	D₄	—	4	4	no	—
915	D₄	—	4	4	no	—
916	D₄	—	4	4	no	—
917	D₄	—	8	2	no	—
918	D₄	—	8	2	no	—
919	D₄	—	8	2	no	—
920	D₄	—	8	2	no	—
921	D₄	—	8	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	4	2	no	—
936	C₂×C₄	—	4	2	no	—
937	C₂×C₄	—	4	2	no	—
938	C₂×C₄	—	4	1	no	—
939	C₂×C₄	—	4	4	no	—
940	C₂×C₄	—	8	2	no	—
941	C₂×C₄	—	8	2	no	—
942	C₂×C₄	—	8	2	no	—
943	C₂×C₄	—	8	2	no	—
944	C₂×C₄	—	8	2	no	—
945	C₂×C₄	—	8	2	no	—
946	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
947	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
948	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
949	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
950	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
951	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
952	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
953	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
954	C₈	—	2	1	no	—
955	C₈	—	2	2	no	—
956	C₈	—	2	2	no	—
957	C₈	—	2	1	no	—
958	C₈	—	2	1	no	—
959	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
960	C₂²	—	2	1	no	—
961	C₂²	—	2	1	no	—
962	C₂²	—	2	2	no	—
963	C₂²	—	2	2	no	—
964	C₂²	—	2	2	no	—
965	C₂²	—	2	2	no	—
966	C₂²	—	2	2	no	—
967	C₂²	—	2	2	no	—
968	C₂²	—	4	2	no	—
969	C₂²	—	4	2	no	—
970	C₂²	—	4	2	no	—
971	C₂²	—	4	2	no	—
972	C₂²	—	4	2	no	—
973	C₂²	—	4	2	no	—
974	C₂²	—	8	4	no	—
975	C₂²	—	16	4	no	—
976	C₂²	C₁₉×#575	1	2	yes	—
977	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
978	C₄	—	2	1	no	—
979	C₄	—	2	2	no	—
980	C₄	—	2	2	no	—
981	C₄	—	2	1	no	—
982	C₄	—	2	1	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	4	2	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	2	no	—
988	C₄	—	4	2	no	—
989	C₄	—	4	2	no	—
990	C₄	—	4	2	no	—
991	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
992	C₄	C₁₉×#585	1	1	yes	characteristic
993	C₂	—	2	2	no	—
994	C₂	—	4	2	no	—
995	C₂	—	4	2	no	—
996	C₂	—	8	2	no	—
997	C₂	—	8	2	no	—
998	C₂	C₁₉×#3496	1	1	yes	characteristic
999	C₂	C₂×C₁₉×#575	1	1	yes	characteristic
1000	C₂	C₁₉×#3584	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 ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3505	C₂	semidirect
2. C₁₉×#3355	C₂	semidirect
3. C₁₉×#3352	C₂	semidirect
4. C₁₉×#3351	C₂	semidirect
5. C₁₉×#3327	C₂	semidirect
6. C₁₉×#3326	C₂	semidirect
7. C₁₉×#3323	C₂	semidirect
8. C₁₉×#3322	C₂	semidirect
9. C₁₉×#3277	C₂	semidirect
10. C₁₉×#3275	C₂	semidirect
11. C₁₉×#3273	C₂	semidirect
12. C₁₉×#3250	C₂	semidirect
13. C₁₉×#3190	C₂	semidirect
14. C₁₉×#3188	C₂	semidirect
15. C₁₉×#3168	C₂	semidirect
16. C₁₉×#3168	C₂	semidirect
17. C₁₉×#3056	C₂	semidirect
18. C₁₉×#3055	C₂	semidirect
19. C₂×C₁₉×#436	C₂	semidirect
20. C₂×C₁₉×#137	C₂²	semidirect
21. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
22. C₂²×M₁₆×C₁₉	C₂²	semidirect
26. C₁₉×#553	C₂²	semidirect
28. C₁₉×#552	C₂²	semidirect
32. C₁₉×#548	C₂²	semidirect
34. C₁₉×#546	C₂²	semidirect
38. C₁₉×#529	C₂²	semidirect
39. C₁₉×#529	C₂²	semidirect
42. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
43. C₂×C₁₉×#121	C₂²	semidirect
46. C₁₉×#499	C₂²	semidirect
47. C₁₉×#499	C₂²	semidirect
48. C₁₉×#495	C₂²	semidirect
49. C₁₉×#495	C₂²	semidirect
50. C₁₉×#488	C₂²	semidirect
51. C₁₉×#488	C₂²	semidirect
52. C₁₉×#485	C₂²	semidirect
53. C₁₉×#485	C₂²	semidirect
54. C₁₉×#484	C₂²	semidirect
55. C₁₉×#483	C₂²	semidirect
56. C₁₉×#482	C₂²	semidirect
57. C₁₉×#482	C₂²	semidirect
58. C₁₉×#481	C₂²	semidirect
59. C₁₉×#480	C₂²	semidirect
60. C₁₉×#479	C₂²	semidirect
61. C₁₉×#479	C₂²	semidirect
62. C₁₉×#478	C₂²	semidirect
63. C₁₉×#478	C₂²	semidirect
64. C₁₉×#470	C₂²	semidirect
65. C₁₉×#470	C₂²	semidirect
66. C₁₉×#469	C₂²	semidirect
67. C₁₉×#469	C₂²	semidirect
68. C₁₉×#468	C₂²	semidirect
69. C₁₉×#468	C₂²	semidirect
70. C₁₉×#468	C₂²	semidirect
71. C₁₉×#468	C₂²	semidirect
72. C₁₉×#467	C₂²	semidirect
73. C₁₉×#467	C₂²	semidirect
74. C₁₉×#467	C₂²	semidirect
78. C₁₉×#465	C₂²	semidirect
79. C₁₉×#465	C₂²	semidirect
80. C₁₉×#465	C₂²	semidirect
81. C₁₉×#465	C₂²	semidirect
82. C₁₉×#464	C₂²	semidirect
83. C₁₉×#464	C₂²	semidirect
84. C₁₉×#463	C₂²	semidirect
85. C₁₉×#463	C₂²	semidirect
86. C₁₉×#452	C₂²	semidirect
87. C₁₉×#452	C₂²	semidirect
88. C₁₉×#451	C₂²	semidirect
89. C₁₉×#450	C₂²	semidirect
90. C₁₉×#449	C₂²	semidirect
91. C₁₉×#449	C₂²	semidirect
92. C₁₉×#448	C₂²	semidirect
93. C₁₉×#447	C₂²	semidirect
94. C₄×Q₁₆×C₁₉	C₂²	semidirect
95. C₄×Q₁₆×C₁₉	C₂²	semidirect
96. C₄×SD₁₆×C₁₉	C₂²	semidirect
97. C₄×SD₁₆×C₁₉	C₂²	semidirect
98. C₄×D₈×C₁₉	C₂²	semidirect
99. C₄×D₈×C₁₉	C₂²	semidirect
102. C₁₉×#436	C₂²	semidirect
103. C₁₉×#436	C₂²	semidirect
104. C₁₉×#436	C₂²	semidirect
105. C₁₉×#436	C₂²	semidirect
106. C₁₉×#428	C₂²	semidirect
107. C₁₉×#428	C₂²	semidirect
108. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
109. C₁₉×#419	C₂²	semidirect
110. C₁₉×#418	C₂²	semidirect
111. C₁₉×#417	C₂²	semidirect
112. C₁₉×#417	C₂²	semidirect
113. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
114. C₂×C₄×C₈×C₁₉	C₂²	semidirect
389. #62261	C₁₉	direct (N × H)
460. #3505	C₂×C₁₉	semidirect
461. #3355	C₂×C₁₉	semidirect
462. #3352	C₂×C₁₉	semidirect
463. #3351	C₂×C₁₉	semidirect
464. #3327	C₂×C₁₉	semidirect
465. #3326	C₂×C₁₉	semidirect
466. #3323	C₂×C₁₉	semidirect
467. #3322	C₂×C₁₉	semidirect
468. #3277	C₂×C₁₉	semidirect
469. #3275	C₂×C₁₉	semidirect
470. #3273	C₂×C₁₉	semidirect
471. #3250	C₂×C₁₉	semidirect
472. #3190	C₂×C₁₉	semidirect
473. #3188	C₂×C₁₉	semidirect
474. #3168	C₂×C₁₉	semidirect
475. #3168	C₂×C₁₉	semidirect
476. #3056	C₂×C₁₉	semidirect
477. #3055	C₂×C₁₉	semidirect
478. C₂×#436	C₂×C₁₉	semidirect
512. C₂×#137	C₂²×C₁₉	semidirect
513. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
514. C₂²×M₁₆	C₂²×C₁₉	semidirect
518. #553	C₂²×C₁₉	semidirect
520. #552	C₂²×C₁₉	semidirect
524. #548	C₂²×C₁₉	semidirect
526. #546	C₂²×C₁₉	semidirect
530. #529	C₂²×C₁₉	semidirect
531. #529	C₂²×C₁₉	semidirect
534. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
535. C₂×#121	C₂²×C₁₉	semidirect
538. #499	C₂²×C₁₉	semidirect
539. #499	C₂²×C₁₉	semidirect
540. #495	C₂²×C₁₉	semidirect
541. #495	C₂²×C₁₉	semidirect
542. #488	C₂²×C₁₉	semidirect
543. #488	C₂²×C₁₉	semidirect
544. #485	C₂²×C₁₉	semidirect
545. #485	C₂²×C₁₉	semidirect
546. #484	C₂²×C₁₉	semidirect
547. #483	C₂²×C₁₉	semidirect
548. #482	C₂²×C₁₉	semidirect
549. #482	C₂²×C₁₉	semidirect
550. #481	C₂²×C₁₉	semidirect
551. #480	C₂²×C₁₉	semidirect
552. #479	C₂²×C₁₉	semidirect
553. #479	C₂²×C₁₉	semidirect
554. #478	C₂²×C₁₉	semidirect
555. #478	C₂²×C₁₉	semidirect
556. #470	C₂²×C₁₉	semidirect
557. #470	C₂²×C₁₉	semidirect
558. #469	C₂²×C₁₉	semidirect
559. #469	C₂²×C₁₉	semidirect
560. #468	C₂²×C₁₉	semidirect
561. #468	C₂²×C₁₉	semidirect
562. #468	C₂²×C₁₉	semidirect
563. #468	C₂²×C₁₉	semidirect
564. #467	C₂²×C₁₉	semidirect
565. #467	C₂²×C₁₉	semidirect
566. #467	C₂²×C₁₉	semidirect
570. #465	C₂²×C₁₉	semidirect
571. #465	C₂²×C₁₉	semidirect
572. #465	C₂²×C₁₉	semidirect
573. #465	C₂²×C₁₉	semidirect
574. #464	C₂²×C₁₉	semidirect
575. #464	C₂²×C₁₉	semidirect
576. #463	C₂²×C₁₉	semidirect
577. #463	C₂²×C₁₉	semidirect
578. #452	C₂²×C₁₉	semidirect
579. #452	C₂²×C₁₉	semidirect
580. #451	C₂²×C₁₉	semidirect
581. #450	C₂²×C₁₉	semidirect
582. #449	C₂²×C₁₉	semidirect
583. #449	C₂²×C₁₉	semidirect
584. #448	C₂²×C₁₉	semidirect
585. #447	C₂²×C₁₉	semidirect
586. C₄×Q₁₆	C₂²×C₁₉	semidirect
587. C₄×Q₁₆	C₂²×C₁₉	semidirect
588. C₄×SD₁₆	C₂²×C₁₉	semidirect
589. C₄×SD₁₆	C₂²×C₁₉	semidirect
590. C₄×D₈	C₂²×C₁₉	semidirect
591. C₄×D₈	C₂²×C₁₉	semidirect
594. #436	C₂²×C₁₉	semidirect
595. #436	C₂²×C₁₉	semidirect
596. #436	C₂²×C₁₉	semidirect
597. #436	C₂²×C₁₉	semidirect
598. #428	C₂²×C₁₉	semidirect
599. #428	C₂²×C₁₉	semidirect
600. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
601. #419	C₂²×C₁₉	semidirect
602. #418	C₂²×C₁₉	semidirect
603. #417	C₂²×C₁₉	semidirect
604. #417	C₂²×C₁₉	semidirect
605. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
606. C₂×C₄×C₈	C₂²×C₁₉	semidirect
767. C₁₉	#62261	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×#3505	2
C₁₉×#3355	2
C₁₉×#3352	2
C₁₉×#3351	2
C₁₉×#3327	2
C₁₉×#3326	2
C₁₉×#3323	2
C₁₉×#3322	2
C₁₉×#3277	2
C₁₉×#3275	2
C₁₉×#3273	2
C₁₉×#3250	2
C₁₉×#3190	2
C₁₉×#3188	2
C₁₉×#3168	2
C₁₉×#3056	2
C₁₉×#3055	2
C₂×C₁₉×#436	2
#62261	19

Subgroups — C19×#62261 #18068220

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62261 #18068220