Subgroups — C₁₉×#62290 #18068249

Order 4864.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1014 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	2	yes	maximal, complemented
2	C₁₉×#3354	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3351	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3319	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3318	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3317	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3306	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3274	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3273	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3204	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3199	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3197	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3192	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3176	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3173	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3062	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3055	C₂	1	2	yes	maximal, complemented
19	C₁₉×#2930	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
22	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
23	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
24	C₁₉×#562	—	2	2	no	—
25	C₁₉×#560	—	2	2	no	—
26	C₁₉×#555	C₂²	1	2	yes	complemented
27	C₁₉×#553	C₂²	1	2	yes	—
28	C₁₉×#552	C₂²	1	2	yes	complemented
29	C₁₉×#551	—	2	2	no	—
30	C₁₉×#550	C₂²	1	2	yes	—
31	C₁₉×#547	C₂²	1	2	yes	complemented
32	C₁₉×#546	—	2	2	no	—
33	C₁₉×#546	C₂²	1	2	yes	complemented
34	C₁₉×#546	C₂²	1	2	yes	complemented
35	D₄²×C₁₉	C₂²	1	2	yes	complemented
36	C₁₉×#542	C₂²	1	2	yes	complemented
37	C₁₉×#540	—	2	2	no	—
38	C₁₉×#540	C₂²	1	2	yes	complemented
39	C₁₉×#538	—	2	2	no	—
40	C₁₉×#537	C₂²	1	2	yes	complemented
41	C₁₉×#535	—	2	2	no	—
42	C₁₉×#535	C₂²	1	2	yes	complemented
43	C₁₉×#534	—	2	2	no	—
44	C₁₉×#525	C₂²	1	1	yes	characteristic
45	C₁₉×#525	C₂²	1	2	yes	complemented
46	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
47	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#498	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#493	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#490	C₂²	1	2	yes	complemented
52	C₁₉×#489	C₂²	1	2	yes	complemented
53	C₁₉×#485	C₂²	1	2	yes	complemented
54	C₁₉×#483	C₂²	1	2	yes	complemented
55	C₁₉×#482	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×#481	C₂²	1	2	yes	complemented
60	C₁₉×#481	C₂²	1	2	yes	complemented
61	C₁₉×#479	C₂²	1	2	yes	complemented
62	C₁₉×#478	C₂²	1	2	yes	complemented
63	C₁₉×#476	C₂²	1	2	yes	complemented
64	C₁₉×#474	C₂²	1	2	yes	complemented
65	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#469	C₂²	1	1	yes	characteristic
67	C₁₉×#469	C₂²	1	2	yes	—
68	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
70	C₁₉×#469	C₂²	1	2	yes	complemented
71	C₁₉×#469	C₂²	1	2	yes	complemented
72	C₁₉×#469	C₂²	1	2	yes	complemented
73	C₁₉×#468	C₂²	1	2	yes	complemented
74	C₁₉×#468	C₂²	1	2	yes	complemented
75	C₁₉×#468	C₂²	1	2	yes	complemented
76	C₁₉×#468	C₂²	1	2	yes	complemented
77	C₁₉×#466	C₂²	1	2	yes	complemented
78	C₁₉×#466	C₂²	1	2	yes	complemented
79	C₁₉×#466	C₂²	1	2	yes	complemented
80	C₁₉×#465	C₂²	1	2	yes	complemented
81	C₁₉×#465	C₂²	1	2	yes	complemented
82	C₁₉×#465	C₂²	1	2	yes	complemented
83	C₁₉×#463	C₂²	1	2	yes	complemented
84	C₁₉×#463	C₂²	1	2	yes	complemented
85	C₁₉×#460	C₂²	1	2	yes	complemented
86	C₁₉×#459	C₂²	1	2	yes	complemented
87	C₁₉×#452	C₂²	1	2	yes	complemented
88	C₁₉×#452	C₂²	1	2	yes	complemented
89	C₁₉×#449	C₂²	1	2	yes	complemented
90	C₁₉×#449	C₂²	1	2	yes	complemented
91	C₁₉×#447	C₂²	1	2	yes	—
92	C₁₉×#447	C₂²	1	2	yes	complemented
93	C₁₉×#447	C₂²	1	2	yes	complemented
94	C₁₉×#447	C₂²	1	2	yes	complemented
95	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
99	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
100	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
101	C₁₉×#436	C₂²	1	2	yes	complemented
102	C₁₉×#436	C₂²	1	2	yes	complemented
103	C₁₉×#435	C₂²	1	2	yes	complemented
104	C₁₉×#435	C₂²	1	2	yes	complemented
105	C₁₉×#428	C₂²	1	2	yes	complemented
106	C₁₉×#428	C₂²	1	2	yes	complemented
107	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#418	C₂²	1	2	yes	complemented
109	C₁₉×#417	C₂²	1	2	yes	complemented
110	C₁₉×#416	C₂²	1	2	yes	complemented
111	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
112	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₁₉	—	2	2	no	—
116	C₂×#41×C₁₉	C₂³	1	2	yes	—
117	C₂×#41×C₁₉	C₂³	1	2	yes	—
118	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
119	C₂²×D₄×C₁₉	—	2	2	no	—
120	C₂²×D₄×C₁₉	—	2	2	no	—
121	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
124	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
125	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
126	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
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×D₈×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	1	yes	characteristic
134	C₂×D₈×C₁₉	C₂³	1	2	yes	—
135	C₂×D₈×C₁₉	C₂³	1	2	yes	—
136	C₁₉×#131	—	4	2	no	—
137	C₂×M₁₆×C₁₉	—	4	2	no	—
138	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
139	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
140	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
141	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
142	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
143	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
146	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
147	C₁₉×#127	—	2	2	no	—
148	C₁₉×#127	—	2	2	no	—
149	C₁₉×#127	C₂³	1	2	yes	—
150	C₁₉×#126	—	2	2	no	—
151	C₁₉×#126	—	2	2	no	—
152	C₁₉×#126	—	2	2	no	—
153	C₁₉×#125	—	2	2	no	—
154	C₁₉×#125	C₂³	1	2	yes	—
155	C₁₉×#124	—	2	2	no	—
156	C₁₉×#124	—	2	2	no	—
157	C₁₉×#124	—	2	2	no	—
158	C₁₉×#124	—	2	2	no	—
159	C₁₉×#124	C₂³	1	2	yes	—
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×#123	—	2	2	no	—
167	C₁₉×#123	—	2	2	no	—
168	C₁₉×#123	—	2	2	no	—
169	C₁₉×#123	—	2	2	no	—
170	C₁₉×#123	D₄	1	2	yes	—
171	C₁₉×C₂²⋊Q₈	—	2	2	no	—
172	C₁₉×C₂²⋊Q₈	—	2	2	no	—
173	C₁₉×C₂²⋊Q₈	—	2	2	no	—
174	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
175	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
176	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
177	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
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	—	2	2	no	—
185	C₁₉×#121	—	2	2	no	—
186	C₁₉×#121	—	2	2	no	—
187	C₁₉×#121	—	2	2	no	—
188	C₁₉×#121	—	2	2	no	—
189	C₁₉×#121	—	2	2	no	—
190	C₁₉×#121	—	2	2	no	—
191	C₁₉×#121	—	2	2	no	—
192	C₁₉×#121	D₄	1	2	yes	—
193	C₁₉×#121	C₂³	1	2	yes	—
194	C₁₉×#121	C₂³	1	2	yes	—
195	C₁₉×#121	C₂³	1	2	yes	—
196	C₁₉×#121	C₂³	1	2	yes	—
197	C₁₉×#121	C₂³	1	2	yes	—
198	C₁₉×#121	C₂³	1	2	yes	—
199	C₁₉×#121	C₂³	1	2	yes	—
200	C₁₉×#121	C₂³	1	2	yes	—
201	C₁₉×#121	C₂³	1	2	yes	—
202	C₁₉×#120	—	2	2	no	—
203	C₁₉×#120	—	2	2	no	—
204	C₁₉×#120	—	2	2	no	—
205	C₁₉×#120	—	2	2	no	—
206	C₁₉×#120	—	2	2	no	—
207	C₁₉×#120	—	2	2	no	—
208	C₁₉×#120	—	2	2	no	—
209	C₁₉×#120	D₄	1	2	yes	—
210	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
211	C₄×D₄×C₁₉	—	2	2	no	—
212	C₄×D₄×C₁₉	—	2	2	no	—
213	C₄×D₄×C₁₉	—	2	2	no	—
214	C₄×D₄×C₁₉	—	2	2	no	—
215	C₄×D₄×C₁₉	C₂³	1	2	yes	—
216	C₄×D₄×C₁₉	C₂³	1	2	yes	—
217	C₄×D₄×C₁₉	C₂³	1	2	yes	—
218	C₄×D₄×C₁₉	C₂³	1	2	yes	—
219	C₄×D₄×C₁₉	C₂³	1	2	yes	—
220	C₁₉×#117	—	2	2	no	—
221	C₁₉×#117	—	2	2	no	—
222	C₁₉×#117	C₂³	1	2	yes	—
223	C₁₉×#117	C₂³	1	2	yes	—
224	C₁₉×#117	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
226	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
228	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
229	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
230	C₁₉×#107	C₂³	1	2	yes	—
231	C₁₉×#107	C₂³	1	2	yes	—
232	C₁₉×#107	C₂³	1	2	yes	—
233	C₁₉×#106	C₂³	1	2	yes	—
234	C₁₉×#106	C₂³	1	2	yes	—
235	C₁₉×#106	C₂³	1	2	yes	—
236	C₁₉×#106	C₂³	1	1	yes	characteristic
237	C₁₉×#106	C₂³	1	1	yes	characteristic
238	C₁₉×#106	C₂³	1	1	yes	characteristic
239	C₁₉×#106	C₂³	1	1	yes	characteristic
240	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
241	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
242	C₁₉×#103	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×#102	C₂³	1	2	yes	—
247	C₁₉×#102	C₂³	1	2	yes	—
248	C₁₉×#102	C₂³	1	2	yes	—
249	C₁₉×#102	C₂³	1	2	yes	—
250	C₁₉×#102	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×C₂²⋊C₈	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×#97	C₂³	1	1	yes	characteristic
263	C₁₉×#97	C₂³	1	1	yes	characteristic
264	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
265	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
266	C₂⁴×C₁₉	—	2	2	no	—
267	C₂⁴×C₁₉	—	2	2	no	—
268	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
269	#41×C₁₉	—	4	1	no	—
270	#41×C₁₉	—	4	1	no	—
271	#41×C₁₉	—	4	2	no	—
272	#41×C₁₉	—	4	2	no	—
273	#41×C₁₉	—	4	2	no	—
274	#41×C₁₉	—	4	2	no	—
275	#41×C₁₉	—	8	4	no	—
276	C₂×Q₈×C₁₉	—	2	2	no	—
277	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
278	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
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	—	2	2	no	—
288	C₂×D₄×C₁₉	—	2	2	no	—
289	C₂×D₄×C₁₉	—	2	2	no	—
290	C₂×D₄×C₁₉	—	2	2	no	—
291	C₂×D₄×C₁₉	—	2	2	no	—
292	C₂×D₄×C₁₉	—	2	2	no	—
293	C₂×D₄×C₁₉	—	2	2	no	—
294	C₂×D₄×C₁₉	—	4	2	no	—
295	C₂×D₄×C₁₉	—	4	2	no	—
296	C₂×D₄×C₁₉	—	4	2	no	—
297	C₂×D₄×C₁₉	—	4	2	no	—
298	C₂×D₄×C₁₉	—	8	4	no	—
299	C₂×D₄×C₁₉	—	8	4	no	—
300	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
301	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
302	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
303	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
304	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
305	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
306	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₉	—	2	2	no	—
308	C₂²×C₄×C₁₉	—	2	2	no	—
309	C₂²×C₄×C₁₉	—	2	2	no	—
310	C₂²×C₄×C₁₉	—	2	2	no	—
311	C₂²×C₄×C₁₉	—	2	2	no	—
312	C₂²×C₄×C₁₉	—	2	2	no	—
313	C₂²×C₄×C₁₉	—	2	2	no	—
314	C₂²×C₄×C₁₉	—	4	1	no	—
315	C₂²×C₄×C₁₉	—	4	1	no	—
316	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
317	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
318	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
321	Q₁₆×C₁₉	—	4	1	no	—
322	SD₁₆×C₁₉	—	2	4	no	—
323	SD₁₆×C₁₉	—	4	2	no	—
324	SD₁₆×C₁₉	—	4	2	no	—
325	D₈×C₁₉	—	2	4	no	—
326	D₈×C₁₉	—	4	1	no	—
327	D₈×C₁₉	—	4	1	no	—
328	D₈×C₁₉	—	4	1	no	—
329	D₈×C₁₉	—	4	2	no	—
330	D₈×C₁₉	—	4	2	no	—
331	M₁₆×C₁₉	—	2	4	no	—
332	M₁₆×C₁₉	—	2	4	no	—
333	M₁₆×C₁₉	—	4	2	no	—
334	M₁₆×C₁₉	—	4	1	no	—
335	M₁₆×C₁₉	—	4	1	no	—
336	C₂×C₈×C₁₉	—	2	2	no	—
337	C₂×C₈×C₁₉	—	4	1	no	—
338	C₂×C₈×C₁₉	—	4	2	no	—
339	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
340	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
341	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
342	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
343	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
344	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
351	C₄⋊C₄×C₁₉	—	2	2	no	—
352	C₄⋊C₄×C₁₉	—	2	2	no	—
353	C₄⋊C₄×C₁₉	—	2	2	no	—
354	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
355	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
356	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
357	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
358	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
359	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
360	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
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	—	2	2	no	—
378	C₂²⋊C₄×C₁₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₉	—	2	2	no	—
380	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
381	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
382	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
383	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
384	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
385	C₄²×C₁₉	—	2	2	no	—
386	C₄²×C₁₉	—	2	2	no	—
387	C₄²×C₁₉	—	2	2	no	—
388	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
389	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
390	#62290	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
391	C₂³×C₁₉	—	2	2	no	—
392	C₂³×C₁₉	—	2	2	no	—
393	C₂³×C₁₉	—	2	2	no	—
394	C₂³×C₁₉	—	4	1	no	—
395	C₂³×C₁₉	—	4	2	no	—
396	C₂³×C₁₉	—	4	4	no	—
397	C₂³×C₁₉	—	8	2	no	—
398	C₂³×C₁₉	—	8	2	no	—
399	C₂³×C₁₉	—	8	2	no	—
400	C₂³×C₁₉	—	8	2	no	—
401	C₂³×C₁₉	—	8	2	no	—
402	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
403	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
404	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
405	Q₈×C₁₉	—	2	2	no	—
406	Q₈×C₁₉	—	2	2	no	—
407	Q₈×C₁₉	—	4	1	no	—
408	Q₈×C₁₉	—	8	2	no	—
409	D₄×C₁₉	—	2	2	no	—
410	D₄×C₁₉	—	2	2	no	—
411	D₄×C₁₉	—	2	2	no	—
412	D₄×C₁₉	—	2	2	no	—
413	D₄×C₁₉	—	2	2	no	—
414	D₄×C₁₉	—	2	2	no	—
415	D₄×C₁₉	—	4	2	no	—
416	D₄×C₁₉	—	4	1	no	—
417	D₄×C₁₉	—	4	2	no	—
418	D₄×C₁₉	—	4	2	no	—
419	D₄×C₁₉	—	4	4	no	—
420	D₄×C₁₉	—	8	2	no	—
421	D₄×C₁₉	—	8	2	no	—
422	D₄×C₁₉	—	8	2	no	—
423	D₄×C₁₉	—	8	2	no	—
424	D₄×C₁₉	—	8	2	no	—
425	D₄×C₁₉	—	8	2	no	—
426	D₄×C₁₉	—	8	2	no	—
427	D₄×C₁₉	—	8	2	no	—
428	D₄×C₁₉	—	8	2	no	—
429	D₄×C₁₉	—	8	2	no	—
430	D₄×C₁₉	—	8	2	no	—
431	D₄×C₁₉	—	8	2	no	—
432	D₄×C₁₉	—	8	2	no	—
433	D₄×C₁₉	—	8	2	no	—
434	C₂×C₄×C₁₉	—	2	1	no	—
435	C₂×C₄×C₁₉	—	2	2	no	—
436	C₂×C₄×C₁₉	—	2	2	no	—
437	C₂×C₄×C₁₉	—	2	1	no	—
438	C₂×C₄×C₁₉	—	2	2	no	—
439	C₂×C₄×C₁₉	—	2	2	no	—
440	C₂×C₄×C₁₉	—	2	2	no	—
441	C₂×C₄×C₁₉	—	2	2	no	—
442	C₂×C₄×C₁₉	—	2	2	no	—
443	C₂×C₄×C₁₉	—	2	2	no	—
444	C₂×C₄×C₁₉	—	2	2	no	—
445	C₂×C₄×C₁₉	—	4	1	no	—
446	C₂×C₄×C₁₉	—	4	2	no	—
447	C₂×C₄×C₁₉	—	4	4	no	—
448	C₂×C₄×C₁₉	—	8	2	no	—
449	C₂×C₄×C₁₉	—	8	2	no	—
450	C₂×C₄×C₁₉	—	8	2	no	—
451	C₂×C₄×C₁₉	—	8	2	no	—
452	C₂×C₄×C₁₉	—	8	2	no	—
453	C₂×C₄×C₁₉	—	8	2	no	—
454	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
457	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
458	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
459	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
460	C₈×C₁₉	—	2	1	no	—
461	C₈×C₁₉	—	2	2	no	—
462	C₈×C₁₉	—	2	2	no	—
463	C₈×C₁₉	—	2	1	no	—
464	C₈×C₁₉	—	2	1	no	—
465	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
466	#3542	C₂×C₁₉	1	2	yes	complemented
467	#3354	C₂×C₁₉	1	2	yes	complemented
468	#3351	C₂×C₁₉	1	2	yes	complemented
469	#3319	C₂×C₁₉	1	2	yes	complemented
470	#3318	C₂×C₁₉	1	2	yes	complemented
471	#3317	C₂×C₁₉	1	2	yes	complemented
472	#3306	C₂×C₁₉	1	2	yes	complemented
473	#3274	C₂×C₁₉	1	2	yes	complemented
474	#3273	C₂×C₁₉	1	2	yes	complemented
475	#3257	C₂×C₁₉	1	2	yes	complemented
476	#3204	C₂×C₁₉	1	1	yes	characteristic, complemented
477	#3199	C₂×C₁₉	1	1	yes	characteristic, complemented
478	#3197	C₂×C₁₉	1	1	yes	characteristic, complemented
479	#3192	C₂×C₁₉	1	1	yes	characteristic, complemented
480	#3176	C₂×C₁₉	1	1	yes	characteristic, complemented
481	#3173	C₂×C₁₉	1	1	yes	characteristic, complemented
482	#3062	C₂×C₁₉	1	2	yes	complemented
483	#3055	C₂×C₁₉	1	2	yes	complemented
484	#2930	C₂×C₁₉	1	1	yes	characteristic, complemented
485	C₂²×C₁₉	—	2	2	no	—
486	C₂²×C₁₉	—	2	2	no	—
487	C₂²×C₁₉	—	2	2	no	—
488	C₂²×C₁₉	—	2	2	no	—
489	C₂²×C₁₉	—	2	2	no	—
490	C₂²×C₁₉	—	2	1	no	—
491	C₂²×C₁₉	—	2	2	no	—
492	C₂²×C₁₉	—	2	2	no	—
493	C₂²×C₁₉	—	4	2	no	—
494	C₂²×C₁₉	—	4	2	no	—
495	C₂²×C₁₉	—	4	2	no	—
496	C₂²×C₁₉	—	4	2	no	—
497	C₂²×C₁₉	—	4	2	no	—
498	C₂²×C₁₉	—	4	2	no	—
499	C₂²×C₁₉	—	4	2	no	—
500	C₂²×C₁₉	—	4	2	no	—
501	C₂²×C₁₉	—	4	2	no	—
502	C₂²×C₁₉	—	8	2	no	—
503	C₂²×C₁₉	—	16	4	no	—
504	C₂²×C₁₉	—	16	4	no	—
505	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
506	C₄×C₁₉	—	2	2	no	—
507	C₄×C₁₉	—	2	2	no	—
508	C₄×C₁₉	—	2	2	no	—
509	C₄×C₁₉	—	2	1	no	—
510	C₄×C₁₉	—	2	2	no	—
511	C₄×C₁₉	—	4	2	no	—
512	C₄×C₁₉	—	4	2	no	—
513	C₄×C₁₉	—	4	2	no	—
514	C₄×C₁₉	—	4	2	no	—
515	C₄×C₁₉	—	4	2	no	—
516	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
517	C₄×C₁₉	#585	1	1	yes	characteristic
518	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
519	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
520	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
521	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
522	#562	—	2	2	no	—
523	#560	—	2	2	no	—
524	#555	C₂²×C₁₉	1	2	yes	complemented
525	#553	C₂²×C₁₉	1	2	yes	—
526	#552	C₂²×C₁₉	1	2	yes	complemented
527	#551	—	2	2	no	—
528	#550	C₂²×C₁₉	1	2	yes	—
529	#547	C₂²×C₁₉	1	2	yes	complemented
530	#546	—	2	2	no	—
531	#546	C₂²×C₁₉	1	2	yes	complemented
532	#546	C₂²×C₁₉	1	2	yes	complemented
533	D₄²	C₂²×C₁₉	1	2	yes	complemented
534	#542	C₂²×C₁₉	1	2	yes	complemented
535	#540	—	2	2	no	—
536	#540	C₂²×C₁₉	1	2	yes	complemented
537	#538	—	2	2	no	—
538	#537	C₂²×C₁₉	1	2	yes	complemented
539	#535	—	2	2	no	—
540	#535	C₂²×C₁₉	1	2	yes	complemented
541	#534	—	2	2	no	—
542	#525	C₂²×C₁₉	1	1	yes	characteristic
543	#525	C₂²×C₁₉	1	2	yes	complemented
544	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
545	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
546	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
547	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
548	#493	C₂²×C₁₉	1	1	yes	characteristic, complemented
549	#490	C₂²×C₁₉	1	2	yes	complemented
550	#489	C₂²×C₁₉	1	2	yes	complemented
551	#485	C₂²×C₁₉	1	2	yes	complemented
552	#483	C₂²×C₁₉	1	2	yes	complemented
553	#482	C₂²×C₁₉	1	2	yes	complemented
554	#482	C₂²×C₁₉	1	2	yes	complemented
555	#482	C₂²×C₁₉	1	2	yes	complemented
556	#481	C₂²×C₁₉	1	2	yes	complemented
557	#481	C₂²×C₁₉	1	2	yes	complemented
558	#481	C₂²×C₁₉	1	2	yes	complemented
559	#479	C₂²×C₁₉	1	2	yes	complemented
560	#478	C₂²×C₁₉	1	2	yes	complemented
561	#476	C₂²×C₁₉	1	2	yes	complemented
562	#474	C₂²×C₁₉	1	2	yes	complemented
563	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
564	#469	C₂²×C₁₉	1	1	yes	characteristic
565	#469	C₂²×C₁₉	1	2	yes	—
566	#469	C₂²×C₁₉	1	2	yes	complemented
567	#469	C₂²×C₁₉	1	2	yes	complemented
568	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
569	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
570	#469	C₂²×C₁₉	1	2	yes	complemented
571	#468	C₂²×C₁₉	1	2	yes	complemented
572	#468	C₂²×C₁₉	1	2	yes	complemented
573	#468	C₂²×C₁₉	1	2	yes	complemented
574	#468	C₂²×C₁₉	1	2	yes	complemented
575	#466	C₂²×C₁₉	1	2	yes	complemented
576	#466	C₂²×C₁₉	1	2	yes	complemented
577	#466	C₂²×C₁₉	1	2	yes	complemented
578	#465	C₂²×C₁₉	1	2	yes	complemented
579	#465	C₂²×C₁₉	1	2	yes	complemented
580	#465	C₂²×C₁₉	1	2	yes	complemented
581	#463	C₂²×C₁₉	1	2	yes	complemented
582	#463	C₂²×C₁₉	1	2	yes	complemented
583	#460	C₂²×C₁₉	1	2	yes	complemented
584	#459	C₂²×C₁₉	1	2	yes	complemented
585	#452	C₂²×C₁₉	1	2	yes	complemented
586	#452	C₂²×C₁₉	1	2	yes	complemented
587	#449	C₂²×C₁₉	1	2	yes	complemented
588	#449	C₂²×C₁₉	1	2	yes	complemented
589	#447	C₂²×C₁₉	1	2	yes	—
590	#447	C₂²×C₁₉	1	2	yes	complemented
591	#447	C₂²×C₁₉	1	2	yes	complemented
592	#447	C₂²×C₁₉	1	2	yes	complemented
593	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
594	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
595	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
596	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
597	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
598	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
599	#436	C₂²×C₁₉	1	2	yes	complemented
600	#436	C₂²×C₁₉	1	2	yes	complemented
601	#435	C₂²×C₁₉	1	2	yes	complemented
602	#435	C₂²×C₁₉	1	2	yes	complemented
603	#428	C₂²×C₁₉	1	2	yes	complemented
604	#428	C₂²×C₁₉	1	2	yes	complemented
605	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
606	#418	C₂²×C₁₉	1	2	yes	complemented
607	#417	C₂²×C₁₉	1	2	yes	complemented
608	#416	C₂²×C₁₉	1	2	yes	complemented
609	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
610	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
611	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
612	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
613	C₂×C₁₉	—	4	1	no	—
614	C₂×C₁₉	—	4	2	no	—
615	C₂×C₁₉	—	4	2	no	—
616	C₂×C₁₉	—	8	2	no	—
617	C₂×C₁₉	—	8	2	no	—
618	C₂×C₁₉	—	8	2	no	—
619	C₂×C₁₉	#3496	1	1	yes	characteristic
620	C₂×C₁₉	#3585	1	2	yes	—
621	C₂×#41	—	2	2	no	—
622	C₂×#41	C₂³×C₁₉	1	2	yes	—
623	C₂×#41	C₂³×C₁₉	1	2	yes	—
624	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
625	C₂²×D₄	—	2	2	no	—
626	C₂²×D₄	—	2	2	no	—
627	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
628	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
629	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
630	AGL(1,ℤ/8)	—	4	4	no	—
631	AGL(1,ℤ/8)	—	4	4	no	—
632	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
633	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
634	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
635	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
636	C₂×D₈	C₂³×C₁₉	1	2	yes	—
637	C₂×D₈	C₂³×C₁₉	1	2	yes	—
638	C₂×D₈	C₂³×C₁₉	1	2	yes	—
639	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
640	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
641	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
642	#131	—	4	2	no	—
643	C₂×M₁₆	—	4	2	no	—
644	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
645	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
646	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
647	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
648	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
649	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
650	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
651	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
652	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
653	#127	—	2	2	no	—
654	#127	—	2	2	no	—
655	#127	C₂³×C₁₉	1	2	yes	—
656	#126	—	2	2	no	—
657	#126	—	2	2	no	—
658	#126	—	2	2	no	—
659	#125	—	2	2	no	—
660	#125	C₂³×C₁₉	1	2	yes	—
661	#124	—	2	2	no	—
662	#124	—	2	2	no	—
663	#124	—	2	2	no	—
664	#124	—	2	2	no	—
665	#124	C₂³×C₁₉	1	2	yes	—
666	#123	—	2	2	no	—
667	#123	—	2	2	no	—
668	#123	—	2	2	no	—
669	#123	—	2	2	no	—
670	#123	—	2	2	no	—
671	#123	—	2	2	no	—
672	#123	—	2	2	no	—
673	#123	—	2	2	no	—
674	#123	—	2	2	no	—
675	#123	—	2	2	no	—
676	#123	D₄×C₁₉	1	2	yes	—
677	C₂²⋊Q₈	—	2	2	no	—
678	C₂²⋊Q₈	—	2	2	no	—
679	C₂²⋊Q₈	—	2	2	no	—
680	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
681	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
682	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
683	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
684	#121	—	2	2	no	—
685	#121	—	2	2	no	—
686	#121	—	2	2	no	—
687	#121	—	2	2	no	—
688	#121	—	2	2	no	—
689	#121	—	2	2	no	—
690	#121	—	2	2	no	—
691	#121	—	2	2	no	—
692	#121	—	2	2	no	—
693	#121	—	2	2	no	—
694	#121	—	2	2	no	—
695	#121	—	2	2	no	—
696	#121	—	2	2	no	—
697	#121	—	2	2	no	—
698	#121	D₄×C₁₉	1	2	yes	—
699	#121	C₂³×C₁₉	1	2	yes	—
700	#121	C₂³×C₁₉	1	2	yes	—
701	#121	C₂³×C₁₉	1	2	yes	—
702	#121	C₂³×C₁₉	1	2	yes	—
703	#121	C₂³×C₁₉	1	2	yes	—
704	#121	C₂³×C₁₉	1	2	yes	—
705	#121	C₂³×C₁₉	1	2	yes	—
706	#121	C₂³×C₁₉	1	2	yes	—
707	#121	C₂³×C₁₉	1	2	yes	—
708	#120	—	2	2	no	—
709	#120	—	2	2	no	—
710	#120	—	2	2	no	—
711	#120	—	2	2	no	—
712	#120	—	2	2	no	—
713	#120	—	2	2	no	—
714	#120	—	2	2	no	—
715	#120	D₄×C₁₉	1	2	yes	—
716	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
717	C₄×D₄	—	2	2	no	—
718	C₄×D₄	—	2	2	no	—
719	C₄×D₄	—	2	2	no	—
720	C₄×D₄	—	2	2	no	—
721	C₄×D₄	C₂³×C₁₉	1	2	yes	—
722	C₄×D₄	C₂³×C₁₉	1	2	yes	—
723	C₄×D₄	C₂³×C₁₉	1	2	yes	—
724	C₄×D₄	C₂³×C₁₉	1	2	yes	—
725	C₄×D₄	C₂³×C₁₉	1	2	yes	—
726	#117	—	2	2	no	—
727	#117	—	2	2	no	—
728	#117	C₂³×C₁₉	1	2	yes	—
729	#117	C₂³×C₁₉	1	2	yes	—
730	#117	C₂³×C₁₉	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
733	C₂×C₂²⋊C₄	—	2	2	no	—
734	C₂×C₂²⋊C₄	—	2	2	no	—
735	C₂×C₂²⋊C₄	—	2	2	no	—
736	#107	C₂³×C₁₉	1	2	yes	—
737	#107	C₂³×C₁₉	1	2	yes	—
738	#107	C₂³×C₁₉	1	2	yes	—
739	#106	C₂³×C₁₉	1	2	yes	—
740	#106	C₂³×C₁₉	1	2	yes	—
741	#106	C₂³×C₁₉	1	2	yes	—
742	#106	C₂³×C₁₉	1	1	yes	characteristic
743	#106	C₂³×C₁₉	1	1	yes	characteristic
744	#106	C₂³×C₁₉	1	1	yes	characteristic
745	#106	C₂³×C₁₉	1	1	yes	characteristic
746	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
747	C₄⋊C₈	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	#103	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	#102	C₂³×C₁₉	1	2	yes	—
760	#102	C₂³×C₁₉	1	2	yes	—
761	#102	C₂³×C₁₉	1	2	yes	—
762	#102	C₂³×C₁₉	1	2	yes	—
763	#102	C₂³×C₁₉	1	2	yes	—
764	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
765	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
766	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
767	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
768	#97	C₂³×C₁₉	1	1	yes	characteristic
769	#97	C₂³×C₁₉	1	1	yes	characteristic
770	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
771	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
772	C₁₉	#62290	1	1	yes	characteristic, direct product factor, Sylow
773	C₂⁴	—	2	2	no	—
774	C₂⁴	—	2	2	no	—
775	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
776	#41	—	4	1	no	—
777	#41	—	4	1	no	—
778	#41	—	4	2	no	—
779	#41	—	4	2	no	—
780	#41	—	4	2	no	—
781	#41	—	4	2	no	—
782	#41	—	8	4	no	—
783	C₂×Q₈	—	2	2	no	—
784	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
785	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	2	no	—
788	C₂×D₄	—	2	2	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	2	no	—
791	C₂×D₄	—	2	2	no	—
792	C₂×D₄	—	2	2	no	—
793	C₂×D₄	—	2	2	no	—
794	C₂×D₄	—	2	2	no	—
795	C₂×D₄	—	2	2	no	—
796	C₂×D₄	—	2	2	no	—
797	C₂×D₄	—	2	2	no	—
798	C₂×D₄	—	2	2	no	—
799	C₂×D₄	—	2	2	no	—
800	C₂×D₄	—	2	2	no	—
801	C₂×D₄	—	4	2	no	—
802	C₂×D₄	—	4	2	no	—
803	C₂×D₄	—	4	2	no	—
804	C₂×D₄	—	4	2	no	—
805	C₂×D₄	—	8	4	no	—
806	C₂×D₄	—	8	4	no	—
807	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
808	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
809	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
810	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
811	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
812	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
813	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	4	1	no	—
822	C₂²×C₄	—	4	1	no	—
823	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
824	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
828	Q₁₆	—	4	1	no	—
829	SD₁₆	—	2	4	no	—
830	SD₁₆	—	4	2	no	—
831	SD₁₆	—	4	2	no	—
832	D₈	—	2	4	no	—
833	D₈	—	4	1	no	—
834	D₈	—	4	1	no	—
835	D₈	—	4	1	no	—
836	D₈	—	4	2	no	—
837	D₈	—	4	2	no	—
838	M₁₆	—	2	4	no	—
839	M₁₆	—	2	4	no	—
840	M₁₆	—	4	2	no	—
841	M₁₆	—	4	1	no	—
842	M₁₆	—	4	1	no	—
843	C₂×C₈	—	2	2	no	—
844	C₂×C₈	—	4	1	no	—
845	C₂×C₈	—	4	2	no	—
846	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
847	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
848	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
849	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
850	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
851	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	2	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
862	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
863	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
864	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
865	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
866	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
867	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
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	—	2	2	no	—
879	C₂²⋊C₄	—	2	2	no	—
880	C₂²⋊C₄	—	2	2	no	—
881	C₂²⋊C₄	—	2	2	no	—
882	C₂²⋊C₄	—	2	2	no	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	2	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
888	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
889	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
890	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
891	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
892	C₄²	—	2	2	no	—
893	C₄²	—	2	2	no	—
894	C₄²	—	2	2	no	—
895	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
896	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	4	1	no	—
901	C₂³	—	4	2	no	—
902	C₂³	—	4	4	no	—
903	C₂³	—	8	2	no	—
904	C₂³	—	8	2	no	—
905	C₂³	—	8	2	no	—
906	C₂³	—	8	2	no	—
907	C₂³	—	8	2	no	—
908	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
909	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
910	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
911	Q₈	—	2	2	no	—
912	Q₈	—	2	2	no	—
913	Q₈	—	4	1	no	—
914	Q₈	—	8	2	no	—
915	D₄	—	2	2	no	—
916	D₄	—	2	2	no	—
917	D₄	—	2	2	no	—
918	D₄	—	2	2	no	—
919	D₄	—	2	2	no	—
920	D₄	—	2	2	no	—
921	D₄	—	4	2	no	—
922	D₄	—	4	1	no	—
923	D₄	—	4	2	no	—
924	D₄	—	4	2	no	—
925	D₄	—	4	4	no	—
926	D₄	—	8	2	no	—
927	D₄	—	8	2	no	—
928	D₄	—	8	2	no	—
929	D₄	—	8	2	no	—
930	D₄	—	8	2	no	—
931	D₄	—	8	2	no	—
932	D₄	—	8	2	no	—
933	D₄	—	8	2	no	—
934	D₄	—	8	2	no	—
935	D₄	—	8	2	no	—
936	D₄	—	8	2	no	—
937	D₄	—	8	2	no	—
938	D₄	—	8	2	no	—
939	D₄	—	8	2	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	4	1	no	—
952	C₂×C₄	—	4	2	no	—
953	C₂×C₄	—	4	4	no	—
954	C₂×C₄	—	8	2	no	—
955	C₂×C₄	—	8	2	no	—
956	C₂×C₄	—	8	2	no	—
957	C₂×C₄	—	8	2	no	—
958	C₂×C₄	—	8	2	no	—
959	C₂×C₄	—	8	2	no	—
960	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
961	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
962	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
963	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
964	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
965	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
966	C₈	—	2	1	no	—
967	C₈	—	2	2	no	—
968	C₈	—	2	2	no	—
969	C₈	—	2	1	no	—
970	C₈	—	2	1	no	—
971	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
972	C₂²	—	2	1	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	2	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	4	2	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	2	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	2	no	—
989	C₂²	—	8	2	no	—
990	C₂²	—	16	4	no	—
991	C₂²	—	16	4	no	—
992	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
993	C₄	—	2	2	no	—
994	C₄	—	2	1	no	—
995	C₄	—	2	2	no	—
996	C₄	—	2	2	no	—
997	C₄	—	2	2	no	—
998	C₄	—	4	2	no	—
999	C₄	—	4	2	no	—
1000	C₄	—	4	2	no	—
1001	C₄	—	4	2	no	—
1002	C₄	—	4	2	no	—
1003	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1004	C₄	C₁₉×#585	1	1	yes	characteristic
1005	C₂	—	4	2	no	—
1006	C₂	—	4	1	no	—
1007	C₂	—	4	2	no	—
1008	C₂	—	8	2	no	—
1009	C₂	—	8	2	no	—
1010	C₂	—	8	2	no	—
1011	C₂	C₁₉×#3496	1	1	yes	characteristic
1012	C₂	C₁₉×#3585	1	2	yes	—

	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3542	C₂	semidirect
2. C₁₉×#3354	C₂	semidirect
3. C₁₉×#3351	C₂	semidirect
4. C₁₉×#3319	C₂	semidirect
5. C₁₉×#3318	C₂	semidirect
6. C₁₉×#3317	C₂	semidirect
7. C₁₉×#3306	C₂	semidirect
8. C₁₉×#3274	C₂	semidirect
9. C₁₉×#3273	C₂	semidirect
10. C₁₉×#3257	C₂	semidirect
11. C₁₉×#3204	C₂	semidirect
12. C₁₉×#3199	C₂	semidirect
13. C₁₉×#3197	C₂	semidirect
14. C₁₉×#3192	C₂	semidirect
15. C₁₉×#3176	C₂	semidirect
16. C₁₉×#3173	C₂	semidirect
17. C₁₉×#3062	C₂	semidirect
18. C₁₉×#3055	C₂	semidirect
19. C₁₉×#2930	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
22. C₂×C₁₉×#131	C₂²	semidirect
23. C₂²×M₁₆×C₁₉	C₂²	semidirect
26. C₁₉×#555	C₂²	semidirect
28. C₁₉×#552	C₂²	semidirect
31. C₁₉×#547	C₂²	semidirect
33. C₁₉×#546	C₂²	semidirect
34. C₁₉×#546	C₂²	semidirect
35. D₄²×C₁₉	C₂²	semidirect
36. C₁₉×#542	C₂²	semidirect
38. C₁₉×#540	C₂²	semidirect
40. C₁₉×#537	C₂²	semidirect
42. C₁₉×#535	C₂²	semidirect
45. C₁₉×#525	C₂²	semidirect
46. C₂×C₁₉×#121	C₂²	semidirect
47. C₁₉×#499	C₂²	semidirect
48. C₁₉×#498	C₂²	semidirect
49. C₁₉×#495	C₂²	semidirect
50. C₁₉×#493	C₂²	semidirect
51. C₁₉×#490	C₂²	semidirect
52. C₁₉×#489	C₂²	semidirect
53. C₁₉×#485	C₂²	semidirect
54. C₁₉×#483	C₂²	semidirect
55. C₁₉×#482	C₂²	semidirect
56. C₁₉×#482	C₂²	semidirect
57. C₁₉×#482	C₂²	semidirect
58. C₁₉×#481	C₂²	semidirect
59. C₁₉×#481	C₂²	semidirect
60. C₁₉×#481	C₂²	semidirect
61. C₁₉×#479	C₂²	semidirect
62. C₁₉×#478	C₂²	semidirect
63. C₁₉×#476	C₂²	semidirect
64. C₁₉×#474	C₂²	semidirect
65. C₁₉×#470	C₂²	semidirect
68. C₁₉×#469	C₂²	semidirect
69. C₁₉×#469	C₂²	semidirect
70. C₁₉×#469	C₂²	semidirect
71. C₁₉×#469	C₂²	semidirect
72. C₁₉×#469	C₂²	semidirect
73. C₁₉×#468	C₂²	semidirect
74. C₁₉×#468	C₂²	semidirect
75. C₁₉×#468	C₂²	semidirect
76. C₁₉×#468	C₂²	semidirect
77. C₁₉×#466	C₂²	semidirect
78. C₁₉×#466	C₂²	semidirect
79. C₁₉×#466	C₂²	semidirect
80. C₁₉×#465	C₂²	semidirect
81. C₁₉×#465	C₂²	semidirect
82. C₁₉×#465	C₂²	semidirect
83. C₁₉×#463	C₂²	semidirect
84. C₁₉×#463	C₂²	semidirect
85. C₁₉×#460	C₂²	semidirect
86. C₁₉×#459	C₂²	semidirect
87. C₁₉×#452	C₂²	semidirect
88. C₁₉×#452	C₂²	semidirect
89. C₁₉×#449	C₂²	semidirect
90. C₁₉×#449	C₂²	semidirect
92. C₁₉×#447	C₂²	semidirect
93. C₁₉×#447	C₂²	semidirect
94. C₁₉×#447	C₂²	semidirect
95. C₁₉×#442	C₂²	semidirect
96. C₁₉×#442	C₂²	semidirect
97. C₁₉×#442	C₂²	semidirect
98. C₁₉×#441	C₂²	semidirect
99. C₄×SD₁₆×C₁₉	C₂²	semidirect
100. C₄×D₈×C₁₉	C₂²	semidirect
101. C₁₉×#436	C₂²	semidirect
102. C₁₉×#436	C₂²	semidirect
103. C₁₉×#435	C₂²	semidirect
104. C₁₉×#435	C₂²	semidirect
105. C₁₉×#428	C₂²	semidirect
106. C₁₉×#428	C₂²	semidirect
107. C₁₉×#424	C₂²	semidirect
108. C₁₉×#418	C₂²	semidirect
109. C₁₉×#417	C₂²	semidirect
110. C₁₉×#416	C₂²	semidirect
111. C₂×C₁₉×#102	C₂²	semidirect
112. C₁₉×#408	C₂²	semidirect
113. C₁₉×#407	C₂²	semidirect
114. C₁₉×#405	C₂²	semidirect
390. #62290	C₁₉	direct (N × H)
466. #3542	C₂×C₁₉	semidirect
467. #3354	C₂×C₁₉	semidirect
468. #3351	C₂×C₁₉	semidirect
469. #3319	C₂×C₁₉	semidirect
470. #3318	C₂×C₁₉	semidirect
471. #3317	C₂×C₁₉	semidirect
472. #3306	C₂×C₁₉	semidirect
473. #3274	C₂×C₁₉	semidirect
474. #3273	C₂×C₁₉	semidirect
475. #3257	C₂×C₁₉	semidirect
476. #3204	C₂×C₁₉	semidirect
477. #3199	C₂×C₁₉	semidirect
478. #3197	C₂×C₁₉	semidirect
479. #3192	C₂×C₁₉	semidirect
480. #3176	C₂×C₁₉	semidirect
481. #3173	C₂×C₁₉	semidirect
482. #3062	C₂×C₁₉	semidirect
483. #3055	C₂×C₁₉	semidirect
484. #2930	C₂×C₁₉	semidirect
518. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
519. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
520. C₂×#131	C₂²×C₁₉	semidirect
521. C₂²×M₁₆	C₂²×C₁₉	semidirect
524. #555	C₂²×C₁₉	semidirect
526. #552	C₂²×C₁₉	semidirect
529. #547	C₂²×C₁₉	semidirect
531. #546	C₂²×C₁₉	semidirect
532. #546	C₂²×C₁₉	semidirect
533. D₄²	C₂²×C₁₉	semidirect
534. #542	C₂²×C₁₉	semidirect
536. #540	C₂²×C₁₉	semidirect
538. #537	C₂²×C₁₉	semidirect
540. #535	C₂²×C₁₉	semidirect
543. #525	C₂²×C₁₉	semidirect
544. C₂×#121	C₂²×C₁₉	semidirect
545. #499	C₂²×C₁₉	semidirect
546. #498	C₂²×C₁₉	semidirect
547. #495	C₂²×C₁₉	semidirect
548. #493	C₂²×C₁₉	semidirect
549. #490	C₂²×C₁₉	semidirect
550. #489	C₂²×C₁₉	semidirect
551. #485	C₂²×C₁₉	semidirect
552. #483	C₂²×C₁₉	semidirect
553. #482	C₂²×C₁₉	semidirect
554. #482	C₂²×C₁₉	semidirect
555. #482	C₂²×C₁₉	semidirect
556. #481	C₂²×C₁₉	semidirect
557. #481	C₂²×C₁₉	semidirect
558. #481	C₂²×C₁₉	semidirect
559. #479	C₂²×C₁₉	semidirect
560. #478	C₂²×C₁₉	semidirect
561. #476	C₂²×C₁₉	semidirect
562. #474	C₂²×C₁₉	semidirect
563. #470	C₂²×C₁₉	semidirect
566. #469	C₂²×C₁₉	semidirect
567. #469	C₂²×C₁₉	semidirect
568. #469	C₂²×C₁₉	semidirect
569. #469	C₂²×C₁₉	semidirect
570. #469	C₂²×C₁₉	semidirect
571. #468	C₂²×C₁₉	semidirect
572. #468	C₂²×C₁₉	semidirect
573. #468	C₂²×C₁₉	semidirect
574. #468	C₂²×C₁₉	semidirect
575. #466	C₂²×C₁₉	semidirect
576. #466	C₂²×C₁₉	semidirect
577. #466	C₂²×C₁₉	semidirect
578. #465	C₂²×C₁₉	semidirect
579. #465	C₂²×C₁₉	semidirect
580. #465	C₂²×C₁₉	semidirect
581. #463	C₂²×C₁₉	semidirect
582. #463	C₂²×C₁₉	semidirect
583. #460	C₂²×C₁₉	semidirect
584. #459	C₂²×C₁₉	semidirect
585. #452	C₂²×C₁₉	semidirect
586. #452	C₂²×C₁₉	semidirect
587. #449	C₂²×C₁₉	semidirect
588. #449	C₂²×C₁₉	semidirect
590. #447	C₂²×C₁₉	semidirect
591. #447	C₂²×C₁₉	semidirect
592. #447	C₂²×C₁₉	semidirect
593. #442	C₂²×C₁₉	semidirect
594. #442	C₂²×C₁₉	semidirect
595. #442	C₂²×C₁₉	semidirect
596. #441	C₂²×C₁₉	semidirect
597. C₄×SD₁₆	C₂²×C₁₉	semidirect
598. C₄×D₈	C₂²×C₁₉	semidirect
599. #436	C₂²×C₁₉	semidirect
600. #436	C₂²×C₁₉	semidirect
601. #435	C₂²×C₁₉	semidirect
602. #435	C₂²×C₁₉	semidirect
603. #428	C₂²×C₁₉	semidirect
604. #428	C₂²×C₁₉	semidirect
605. #424	C₂²×C₁₉	semidirect
606. #418	C₂²×C₁₉	semidirect
607. #417	C₂²×C₁₉	semidirect
608. #416	C₂²×C₁₉	semidirect
609. C₂×#102	C₂²×C₁₉	semidirect
610. #408	C₂²×C₁₉	semidirect
611. #407	C₂²×C₁₉	semidirect
612. #405	C₂²×C₁₉	semidirect
772. C₁₉	#62290	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×#3354	2
C₁₉×#3351	2
C₁₉×#3319	2
C₁₉×#3318	2
C₁₉×#3317	2
C₁₉×#3306	2
C₁₉×#3274	2
C₁₉×#3273	2
C₁₉×#3257	2
C₁₉×#3204	2
C₁₉×#3199	2
C₁₉×#3197	2
C₁₉×#3192	2
C₁₉×#3176	2
C₁₉×#3173	2
C₁₉×#3062	2
C₁₉×#3055	2
C₁₉×#2930	2
#62290	19

Subgroups — C19×#62290 #18068249

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62290 #18068249