Subgroups — C₁₉×#62046 #18068005

Order 4864.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1150 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×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3330	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3308	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3277	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3262	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3254	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3225	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3046	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3037	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×#137	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	—	2	1	no	—
30	C₁₉×#559	C₂²	1	1	yes	characteristic
31	C₁₉×#559	C₂²	1	1	yes	characteristic
32	Q₈²×C₁₉	C₂²	1	1	yes	characteristic
33	C₁₉×#557	C₂²	1	1	yes	characteristic
34	C₁₉×#554	—	2	1	no	—
35	C₁₉×#554	—	2	1	no	—
36	C₁₉×#554	C₂²	1	1	yes	characteristic
37	C₁₉×#550	C₂²	1	1	yes	characteristic
38	C₁₉×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
40	C₁₉×#548	C₂²	1	2	yes	—
41	C₁₉×#548	C₂²	1	2	yes	—
42	C₁₉×#547	—	2	2	no	—
43	C₁₉×#547	C₂²	1	2	yes	—
44	C₁₉×#547	C₂²	1	2	yes	—
45	C₁₉×#542	—	2	2	no	—
46	C₁₉×#542	—	2	1	no	—
47	C₁₉×#542	C₂²	1	2	yes	—
48	C₁₉×#542	C₂²	1	2	yes	—
49	C₁₉×#540	—	2	1	no	—
50	C₁₉×#539	—	2	2	no	—
51	C₁₉×#536	C₂²	1	2	yes	—
52	C₁₉×#533	C₂²	1	1	yes	characteristic
53	C₁₉×#532	—	2	1	no	—
54	C₁₉×#532	C₂²	1	1	yes	characteristic
55	C₁₉×#532	C₂²	1	1	yes	characteristic
56	C₁₉×#529	—	2	1	no	—
57	C₁₉×#529	C₂²	1	1	yes	characteristic
58	C₁₉×#520	C₂²	1	2	yes	—
59	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
60	C₁₉×#497	C₂²	1	2	yes	—
61	C₁₉×#495	C₂²	1	2	yes	—
62	C₁₉×#493	C₂²	1	1	yes	characteristic
63	C₁₉×#492	C₂²	1	1	yes	characteristic
64	C₁₉×#489	C₂²	1	2	yes	—
65	C₁₉×#487	C₂²	1	1	yes	characteristic
66	C₁₉×#487	C₂²	1	2	yes	—
67	C₁₉×#486	C₂²	1	1	yes	characteristic
68	C₁₉×#484	C₂²	1	2	yes	—
69	C₁₉×#484	C₂²	1	1	yes	characteristic
70	C₁₉×#484	C₂²	1	1	yes	characteristic
71	C₁₉×#480	C₂²	1	2	yes	—
72	C₁₉×#477	C₂²	1	1	yes	characteristic
73	C₁₉×#477	C₂²	1	1	yes	characteristic
74	C₁₉×#477	C₂²	1	1	yes	characteristic
75	C₁₉×#477	C₂²	1	2	yes	—
76	C₁₉×#477	C₂²	1	1	yes	characteristic
77	C₁₉×#474	C₂²	1	2	yes	—
78	C₁₉×#474	C₂²	1	2	yes	—
79	C₁₉×#468	C₂²	1	2	yes	—
80	C₁₉×#468	C₂²	1	2	yes	—
81	C₁₉×#468	C₂²	1	2	yes	—
82	C₁₉×#468	C₂²	1	2	yes	—
83	C₁₉×#467	C₂²	1	2	yes	—
84	C₁₉×#466	C₂²	1	2	yes	—
85	C₁₉×#464	C₂²	1	2	yes	—
86	C₁₉×#464	C₂²	1	2	yes	—
87	C₁₉×#464	C₂²	1	2	yes	—
88	C₁₉×#464	C₂²	1	2	yes	—
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	1	yes	characteristic
94	C₁₉×#462	C₂²	1	2	yes	—
95	C₁₉×#462	C₂²	1	1	yes	characteristic
96	C₁₉×#462	C₂²	1	1	yes	characteristic
97	C₁₉×#462	C₂²	1	1	yes	characteristic
98	C₁₉×#461	C₂²	1	2	yes	—
99	C₁₉×#461	C₂²	1	2	yes	—
100	C₁₉×#460	C₂²	1	1	yes	characteristic
101	C₁₉×#460	C₂²	1	1	yes	characteristic
102	C₁₉×#460	C₂²	1	1	yes	characteristic
103	C₁₉×#460	C₂²	1	1	yes	characteristic
104	C₁₉×#452	C₂²	1	2	yes	—
105	C₁₉×#452	C₂²	1	2	yes	—
106	C₁₉×#451	C₂²	1	2	yes	—
107	C₁₉×#451	C₂²	1	1	yes	characteristic
108	C₁₉×#451	C₂²	1	1	yes	characteristic
109	C₁₉×#449	C₂²	1	2	yes	—
110	C₁₉×#449	C₂²	1	2	yes	—
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
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic
116	C₁₉×#440	C₂²	1	2	yes	—
117	C₁₉×#440	C₂²	1	2	yes	—
118	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
119	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
120	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
121	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
122	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
123	C₄×D₈×C₁₉	C₂²	1	2	yes	—
124	C₁₉×#436	C₂²	1	2	yes	—
125	C₁₉×#436	C₂²	1	1	yes	characteristic
126	C₁₉×#435	C₂²	1	2	yes	—
127	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
128	C₁₉×#433	C₂²	1	2	yes	—
129	C₁₉×#431	C₂²	1	1	yes	characteristic
130	C₁₉×#424	C₂²	1	2	yes	—
131	C₁₉×#423	C₂²	1	1	yes	characteristic
132	C₁₉×#417	C₂²	1	2	yes	—
133	C₁₉×#417	C₂²	1	2	yes	—
134	C₂×C₁₉×#103	C₂²	1	2	yes	—
135	C₂×#41×C₁₉	—	2	2	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	C₂³	1	2	yes	—
138	C₂×#41×C₁₉	C₂³	1	2	yes	—
139	C₂×#41×C₁₉	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
142	C₁₉×#137	—	4	4	no	—
143	C₁₉×#137	—	4	4	no	—
144	C₁₉×#135	—	4	4	no	—
145	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
149	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
150	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
154	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
155	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
156	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×D₈×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	2	yes	—
159	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
160	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
162	C₁₉×C₄⋊Q₈	—	2	1	no	—
163	C₁₉×C₄⋊Q₈	—	2	2	no	—
164	C₁₉×C₄⋊Q₈	—	2	1	no	—
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	2	yes	—
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×#127	—	2	1	no	—
172	C₁₉×#127	—	2	1	no	—
173	C₁₉×#127	C₂³	1	1	yes	characteristic
174	C₁₉×#127	C₂³	1	1	yes	characteristic
175	C₁₉×#126	—	2	2	no	—
176	C₁₉×#126	—	2	2	no	—
177	C₁₉×#126	D₄	1	2	yes	—
178	C₁₉×#125	—	2	1	no	—
179	C₁₉×#125	—	2	2	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	1	no	—
185	C₁₉×#124	—	2	2	no	—
186	C₁₉×#124	—	2	2	no	—
187	C₁₉×#124	—	2	2	no	—
188	C₁₉×#124	—	2	2	no	—
189	C₁₉×#124	—	2	1	no	—
190	C₁₉×#124	D₄	1	1	yes	characteristic
191	C₁₉×#124	C₂³	1	2	yes	—
192	C₁₉×#124	C₂³	1	2	yes	—
193	C₁₉×#124	C₂³	1	2	yes	—
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	—	2	2	no	—
202	C₁₉×#123	—	2	2	no	—
203	C₁₉×#123	—	2	2	no	—
204	C₁₉×#123	D₄	1	2	yes	—
205	C₁₉×C₂²⋊Q₈	—	2	1	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	—	2	2	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	D₄	1	1	yes	characteristic
216	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
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×#121	—	2	2	no	—
221	C₁₉×#121	—	2	2	no	—
222	C₁₉×#121	—	2	2	no	—
223	C₁₉×#121	—	2	1	no	—
224	C₁₉×#121	—	2	1	no	—
225	C₁₉×#121	—	2	1	no	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	D₄	1	1	yes	characteristic
229	C₁₉×#121	C₂³	1	2	yes	—
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₉	—	2	1	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	—	2	1	no	—
237	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₉	—	2	1	no	—
247	C₄×D₄×C₁₉	—	2	1	no	—
248	C₄×D₄×C₁₉	—	2	1	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	2	no	—
253	C₄×D₄×C₁₉	—	2	2	no	—
254	C₄×D₄×C₁₉	—	2	2	no	—
255	C₄×D₄×C₁₉	—	2	2	no	—
256	C₄×D₄×C₁₉	—	2	1	no	—
257	C₄×D₄×C₁₉	—	2	1	no	—
258	C₄×D₄×C₁₉	—	2	1	no	—
259	C₄×D₄×C₁₉	C₂³	1	2	yes	—
260	C₄×D₄×C₁₉	C₂³	1	2	yes	—
261	C₄×D₄×C₁₉	C₂³	1	2	yes	—
262	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₉	C₂³	1	2	yes	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	—	2	2	no	—
266	C₁₉×#117	C₂³	1	2	yes	—
267	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
269	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₁₉	—	2	1	no	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	1	yes	characteristic
275	C₁₉×#107	C₂³	1	1	yes	characteristic
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#107	C₂³	1	1	yes	characteristic
278	C₁₉×#107	C₂³	1	2	yes	—
279	C₁₉×#107	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	1	yes	characteristic
292	C₁₉×#103	C₂³	1	2	yes	—
293	C₁₉×#103	C₂³	1	2	yes	—
294	C₁₉×#103	C₂³	1	1	yes	characteristic
295	C₁₉×#103	C₂³	1	1	yes	characteristic
296	C₁₉×#103	C₂³	1	1	yes	characteristic
297	C₁₉×#103	C₂³	1	1	yes	characteristic
298	C₁₉×#103	C₂³	1	2	yes	—
299	C₁₉×#103	C₂³	1	1	yes	characteristic
300	C₁₉×#103	C₂³	1	1	yes	characteristic
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	2	yes	—
303	C₁₉×#102	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	2	yes	—
305	C₁₉×#102	C₂³	1	2	yes	—
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	#41×C₁₉	—	2	4	no	—
316	#41×C₁₉	—	4	2	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	—	8	2	no	—
322	#41×C₁₉	—	8	4	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	—	2	1	no	—
328	C₂×Q₈×C₁₉	—	2	2	no	—
329	C₂×Q₈×C₁₉	—	4	1	no	—
330	C₂×Q₈×C₁₉	—	4	2	no	—
331	C₂×Q₈×C₁₉	—	4	2	no	—
332	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
336	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
337	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
342	C₂×D₄×C₁₉	—	2	2	no	—
343	C₂×D₄×C₁₉	—	2	2	no	—
344	C₂×D₄×C₁₉	—	2	1	no	—
345	C₂×D₄×C₁₉	—	2	1	no	—
346	C₂×D₄×C₁₉	—	2	1	no	—
347	C₂×D₄×C₁₉	—	2	1	no	—
348	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
351	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₁₉	—	2	1	no	—
353	C₂²×C₄×C₁₉	—	2	1	no	—
354	C₂²×C₄×C₁₉	—	2	2	no	—
355	C₂²×C₄×C₁₉	—	2	2	no	—
356	C₂²×C₄×C₁₉	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
366	Q₁₆×C₁₉	—	2	2	no	—
367	Q₁₆×C₁₉	—	2	2	no	—
368	Q₁₆×C₁₉	—	2	4	no	—
369	Q₁₆×C₁₉	—	4	1	no	—
370	Q₁₆×C₁₉	—	4	1	no	—
371	Q₁₆×C₁₉	—	4	2	no	—
372	SD₁₆×C₁₉	—	2	4	no	—
373	SD₁₆×C₁₉	—	4	2	no	—
374	SD₁₆×C₁₉	—	4	2	no	—
375	SD₁₆×C₁₉	—	4	2	no	—
376	SD₁₆×C₁₉	—	4	2	no	—
377	SD₁₆×C₁₉	—	4	2	no	—
378	D₈×C₁₉	—	4	2	no	—
379	D₈×C₁₉	—	4	2	no	—
380	M₁₆×C₁₉	—	4	2	no	—
381	M₁₆×C₁₉	—	4	2	no	—
382	C₂×C₈×C₁₉	—	4	2	no	—
383	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
385	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
389	C₄⋊C₄×C₁₉	—	2	1	no	—
390	C₄⋊C₄×C₁₉	—	2	1	no	—
391	C₄⋊C₄×C₁₉	—	2	2	no	—
392	C₄⋊C₄×C₁₉	—	2	2	no	—
393	C₄⋊C₄×C₁₉	—	2	1	no	—
394	C₄⋊C₄×C₁₉	—	2	1	no	—
395	C₄⋊C₄×C₁₉	—	2	1	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	2	no	—
406	C₄⋊C₄×C₁₉	—	2	1	no	—
407	C₄⋊C₄×C₁₉	—	2	2	no	—
408	C₄⋊C₄×C₁₉	—	2	2	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	—	2	2	no	—
411	C₄⋊C₄×C₁₉	—	2	1	no	—
412	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
413	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
414	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
415	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
416	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
418	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
420	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
423	C₂²⋊C₄×C₁₉	—	2	1	no	—
424	C₂²⋊C₄×C₁₉	—	2	1	no	—
425	C₂²⋊C₄×C₁₉	—	2	2	no	—
426	C₂²⋊C₄×C₁₉	—	2	2	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	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	C₂×D₄	1	2	yes	—
440	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
441	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
442	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
443	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
444	C₄²×C₁₉	—	2	1	no	—
445	C₄²×C₁₉	—	2	1	no	—
446	C₄²×C₁₉	—	2	1	no	—
447	C₄²×C₁₉	—	2	1	no	—
448	C₄²×C₁₉	—	2	2	no	—
449	C₄²×C₁₉	—	2	1	no	—
450	C₄²×C₁₉	—	2	1	no	—
451	C₄²×C₁₉	—	2	2	no	—
452	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₉	C₂⁴	1	2	yes	—
457	#62046	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
458	C₂³×C₁₉	—	2	2	no	—
459	C₂³×C₁₉	—	2	2	no	—
460	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
461	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
462	Q₈×C₁₉	—	2	2	no	—
463	Q₈×C₁₉	—	2	1	no	—
464	Q₈×C₁₉	—	2	1	no	—
465	Q₈×C₁₉	—	2	1	no	—
466	Q₈×C₁₉	—	2	1	no	—
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	1	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	8	1	no	—
474	Q₈×C₁₉	—	8	2	no	—
475	Q₈×C₁₉	—	8	1	no	—
476	Q₈×C₁₉	—	8	2	no	—
477	Q₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
478	D₄×C₁₉	—	2	2	no	—
479	D₄×C₁₉	—	2	2	no	—
480	D₄×C₁₉	—	2	2	no	—
481	D₄×C₁₉	—	2	2	no	—
482	D₄×C₁₉	—	2	2	no	—
483	D₄×C₁₉	—	4	2	no	—
484	D₄×C₁₉	—	4	4	no	—
485	D₄×C₁₉	—	4	4	no	—
486	D₄×C₁₉	—	4	2	no	—
487	D₄×C₁₉	—	4	2	no	—
488	D₄×C₁₉	—	8	1	no	—
489	D₄×C₁₉	—	8	1	no	—
490	D₄×C₁₉	—	8	2	no	—
491	D₄×C₁₉	—	8	2	no	—
492	D₄×C₁₉	—	8	2	no	—
493	D₄×C₁₉	—	8	2	no	—
494	C₂×C₄×C₁₉	—	2	1	no	—
495	C₂×C₄×C₁₉	—	2	2	no	—
496	C₂×C₄×C₁₉	—	2	2	no	—
497	C₂×C₄×C₁₉	—	2	1	no	—
498	C₂×C₄×C₁₉	—	2	2	no	—
499	C₂×C₄×C₁₉	—	2	1	no	—
500	C₂×C₄×C₁₉	—	2	1	no	—
501	C₂×C₄×C₁₉	—	2	1	no	—
502	C₂×C₄×C₁₉	—	2	1	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	—	4	1	no	—
510	C₂×C₄×C₁₉	—	4	4	no	—
511	C₂×C₄×C₁₉	—	4	2	no	—
512	C₂×C₄×C₁₉	—	4	2	no	—
513	C₂×C₄×C₁₉	—	8	2	no	—
514	C₂×C₄×C₁₉	—	8	2	no	—
515	C₂×C₄×C₁₉	—	8	2	no	—
516	C₂×C₄×C₁₉	—	8	2	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	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
529	C₈×C₁₉	—	2	1	no	—
530	C₈×C₁₉	—	2	2	no	—
531	C₈×C₁₉	—	2	2	no	—
532	C₈×C₁₉	—	2	1	no	—
533	C₈×C₁₉	—	2	1	no	—
534	C₈×C₁₉	—	2	1	no	—
535	#3554	C₂×C₁₉	1	1	yes	characteristic, complemented
536	#3522	C₂×C₁₉	1	1	yes	characteristic, complemented
537	#3400	C₂×C₁₉	1	1	yes	characteristic, complemented
538	#3396	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3375	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#3363	C₂×C₁₉	1	1	yes	characteristic, complemented
541	#3333	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3330	C₂×C₁₉	1	2	yes	complemented
543	#3308	C₂×C₁₉	1	2	yes	complemented
544	#3299	C₂×C₁₉	1	1	yes	characteristic, complemented
545	#3287	C₂×C₁₉	1	1	yes	characteristic, complemented
546	#3278	C₂×C₁₉	1	1	yes	characteristic, complemented
547	#3277	C₂×C₁₉	1	2	yes	complemented
548	#3269	C₂×C₁₉	1	2	yes	complemented
549	#3262	C₂×C₁₉	1	2	yes	complemented
550	#3254	C₂×C₁₉	1	1	yes	characteristic, complemented
551	#3225	C₂×C₁₉	1	2	yes	complemented
552	#3207	C₂×C₁₉	1	1	yes	characteristic, complemented
553	#3124	C₂×C₁₉	1	2	yes	complemented
554	#3104	C₂×C₁₉	1	1	yes	characteristic, complemented
555	#3046	C₂×C₁₉	1	2	yes	complemented
556	#3037	C₂×C₁₉	1	1	yes	characteristic, complemented
557	#2993	C₂×C₁₉	1	1	yes	characteristic, complemented
558	C₂²×C₁₉	—	2	1	no	—
559	C₂²×C₁₉	—	2	2	no	—
560	C₂²×C₁₉	—	2	1	no	—
561	C₂²×C₁₉	—	2	2	no	—
562	C₂²×C₁₉	—	2	1	no	—
563	C₂²×C₁₉	—	2	2	no	—
564	C₂²×C₁₉	—	4	2	no	—
565	C₂²×C₁₉	—	4	2	no	—
566	C₂²×C₁₉	—	4	2	no	—
567	C₂²×C₁₉	—	4	2	no	—
568	C₂²×C₁₉	—	4	2	no	—
569	C₂²×C₁₉	—	4	2	no	—
570	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
571	C₄×C₁₉	—	2	1	no	—
572	C₄×C₁₉	—	2	1	no	—
573	C₄×C₁₉	—	2	2	no	—
574	C₄×C₁₉	—	2	2	no	—
575	C₄×C₁₉	—	2	1	no	—
576	C₄×C₁₉	—	2	2	no	—
577	C₄×C₁₉	—	2	1	no	—
578	C₄×C₁₉	—	2	2	no	—
579	C₄×C₁₉	—	4	1	no	—
580	C₄×C₁₉	—	4	1	no	—
581	C₄×C₁₉	—	4	2	no	—
582	C₄×C₁₉	—	4	1	no	—
583	C₄×C₁₉	—	4	1	no	—
584	C₄×C₁₉	—	4	1	no	—
585	C₄×C₁₉	—	4	1	no	—
586	C₄×C₁₉	—	4	2	no	—
587	C₄×C₁₉	—	4	1	no	—
588	C₄×C₁₉	#578	1	2	yes	—
589	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
590	C₄×C₁₉	#585	1	1	yes	characteristic
591	C₂×#137	C₂²×C₁₉	1	2	yes	—
592	C₂×#137	C₂²×C₁₉	1	2	yes	—
593	C₂×#135	C₂²×C₁₉	1	2	yes	—
594	#562	—	2	2	no	—
595	#559	—	2	1	no	—
596	#559	—	2	1	no	—
597	#559	C₂²×C₁₉	1	1	yes	characteristic
598	#559	C₂²×C₁₉	1	1	yes	characteristic
599	Q₈²	C₂²×C₁₉	1	1	yes	characteristic
600	#557	C₂²×C₁₉	1	1	yes	characteristic
601	#554	—	2	1	no	—
602	#554	—	2	1	no	—
603	#554	C₂²×C₁₉	1	1	yes	characteristic
604	#550	C₂²×C₁₉	1	1	yes	characteristic
605	#550	C₂²×C₁₉	1	1	yes	characteristic
606	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
607	#548	C₂²×C₁₉	1	2	yes	—
608	#548	C₂²×C₁₉	1	2	yes	—
609	#547	—	2	2	no	—
610	#547	C₂²×C₁₉	1	2	yes	—
611	#547	C₂²×C₁₉	1	2	yes	—
612	#542	—	2	2	no	—
613	#542	—	2	1	no	—
614	#542	C₂²×C₁₉	1	2	yes	—
615	#542	C₂²×C₁₉	1	2	yes	—
616	#540	—	2	1	no	—
617	#539	—	2	2	no	—
618	#536	C₂²×C₁₉	1	2	yes	—
619	#533	C₂²×C₁₉	1	1	yes	characteristic
620	#532	—	2	1	no	—
621	#532	C₂²×C₁₉	1	1	yes	characteristic
622	#532	C₂²×C₁₉	1	1	yes	characteristic
623	#529	—	2	1	no	—
624	#529	C₂²×C₁₉	1	1	yes	characteristic
625	#520	C₂²×C₁₉	1	2	yes	—
626	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
627	#497	C₂²×C₁₉	1	2	yes	—
628	#495	C₂²×C₁₉	1	2	yes	—
629	#493	C₂²×C₁₉	1	1	yes	characteristic
630	#492	C₂²×C₁₉	1	1	yes	characteristic
631	#489	C₂²×C₁₉	1	2	yes	—
632	#487	C₂²×C₁₉	1	2	yes	—
633	#487	C₂²×C₁₉	1	1	yes	characteristic
634	#486	C₂²×C₁₉	1	1	yes	characteristic
635	#484	C₂²×C₁₉	1	1	yes	characteristic
636	#484	C₂²×C₁₉	1	2	yes	—
637	#484	C₂²×C₁₉	1	1	yes	characteristic
638	#480	C₂²×C₁₉	1	2	yes	—
639	#477	C₂²×C₁₉	1	1	yes	characteristic
640	#477	C₂²×C₁₉	1	1	yes	characteristic
641	#477	C₂²×C₁₉	1	1	yes	characteristic
642	#477	C₂²×C₁₉	1	2	yes	—
643	#477	C₂²×C₁₉	1	1	yes	characteristic
644	#474	C₂²×C₁₉	1	2	yes	—
645	#474	C₂²×C₁₉	1	2	yes	—
646	#468	C₂²×C₁₉	1	2	yes	—
647	#468	C₂²×C₁₉	1	2	yes	—
648	#468	C₂²×C₁₉	1	2	yes	—
649	#468	C₂²×C₁₉	1	2	yes	—
650	#467	C₂²×C₁₉	1	2	yes	—
651	#466	C₂²×C₁₉	1	2	yes	—
652	#464	C₂²×C₁₉	1	2	yes	—
653	#464	C₂²×C₁₉	1	2	yes	—
654	#464	C₂²×C₁₉	1	2	yes	—
655	#464	C₂²×C₁₉	1	2	yes	—
656	#463	C₂²×C₁₉	1	2	yes	—
657	#463	C₂²×C₁₉	1	2	yes	—
658	#463	C₂²×C₁₉	1	2	yes	—
659	#463	C₂²×C₁₉	1	2	yes	—
660	#462	C₂²×C₁₉	1	1	yes	characteristic
661	#462	C₂²×C₁₉	1	1	yes	characteristic
662	#462	C₂²×C₁₉	1	2	yes	—
663	#462	C₂²×C₁₉	1	1	yes	characteristic
664	#462	C₂²×C₁₉	1	1	yes	characteristic
665	#461	C₂²×C₁₉	1	2	yes	—
666	#461	C₂²×C₁₉	1	2	yes	—
667	#460	C₂²×C₁₉	1	1	yes	characteristic
668	#460	C₂²×C₁₉	1	1	yes	characteristic
669	#460	C₂²×C₁₉	1	1	yes	characteristic
670	#460	C₂²×C₁₉	1	1	yes	characteristic
671	#452	C₂²×C₁₉	1	2	yes	—
672	#452	C₂²×C₁₉	1	2	yes	—
673	#451	C₂²×C₁₉	1	1	yes	characteristic
674	#451	C₂²×C₁₉	1	1	yes	characteristic
675	#451	C₂²×C₁₉	1	2	yes	—
676	#449	C₂²×C₁₉	1	2	yes	—
677	#449	C₂²×C₁₉	1	2	yes	—
678	#449	C₂²×C₁₉	1	2	yes	—
679	#449	C₂²×C₁₉	1	2	yes	—
680	#448	C₂²×C₁₉	1	2	yes	—
681	#446	C₂²×C₁₉	1	1	yes	characteristic
682	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
683	#440	C₂²×C₁₉	1	2	yes	—
684	#440	C₂²×C₁₉	1	2	yes	—
685	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
686	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
687	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
688	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
689	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
690	C₄×D₈	C₂²×C₁₉	1	2	yes	—
691	#436	C₂²×C₁₉	1	2	yes	—
692	#436	C₂²×C₁₉	1	1	yes	characteristic
693	#435	C₂²×C₁₉	1	2	yes	—
694	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
695	#433	C₂²×C₁₉	1	2	yes	—
696	#431	C₂²×C₁₉	1	1	yes	characteristic
697	#424	C₂²×C₁₉	1	2	yes	—
698	#423	C₂²×C₁₉	1	1	yes	characteristic
699	#417	C₂²×C₁₉	1	2	yes	—
700	#417	C₂²×C₁₉	1	2	yes	—
701	C₂×#103	C₂²×C₁₉	1	2	yes	—
702	C₂×C₁₉	—	4	1	no	—
703	C₂×C₁₉	—	4	2	no	—
704	C₂×C₁₉	—	8	2	no	—
705	C₂×C₁₉	—	8	2	no	—
706	C₂×C₁₉	#3488	1	1	yes	characteristic
707	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
708	C₂×C₁₉	#3585	1	1	yes	characteristic
709	C₂×#41	—	2	2	no	—
710	C₂×#41	—	2	1	no	—
711	C₂×#41	C₂³×C₁₉	1	2	yes	—
712	C₂×#41	C₂³×C₁₉	1	2	yes	—
713	C₂×#41	C₂³×C₁₉	1	2	yes	—
714	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
715	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
716	#137	—	4	4	no	—
717	#137	—	4	4	no	—
718	#135	—	4	4	no	—
719	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
720	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
721	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
722	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
723	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
724	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
729	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
730	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
731	C₂×D₈	C₂³×C₁₉	1	2	yes	—
732	C₂×D₈	C₂³×C₁₉	1	2	yes	—
733	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
734	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
735	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
736	C₄⋊Q₈	—	2	1	no	—
737	C₄⋊Q₈	—	2	2	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
742	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
743	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
744	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
745	#127	—	2	1	no	—
746	#127	—	2	1	no	—
747	#127	C₂³×C₁₉	1	1	yes	characteristic
748	#127	C₂³×C₁₉	1	1	yes	characteristic
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	D₄×C₁₉	1	2	yes	—
752	#125	—	2	1	no	—
753	#125	—	2	2	no	—
754	#125	—	2	1	no	—
755	#125	—	2	1	no	—
756	#125	D₄×C₁₉	1	1	yes	characteristic
757	#124	—	2	1	no	—
758	#124	—	2	1	no	—
759	#124	—	2	2	no	—
760	#124	—	2	2	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	1	no	—
764	#124	D₄×C₁₉	1	1	yes	characteristic
765	#124	C₂³×C₁₉	1	2	yes	—
766	#124	C₂³×C₁₉	1	2	yes	—
767	#124	C₂³×C₁₉	1	2	yes	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
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	D₄×C₁₉	1	2	yes	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	2	no	—
788	C₂²⋊Q₈	—	2	2	no	—
789	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
790	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
791	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
792	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	1	no	—
798	#121	—	2	1	no	—
799	#121	—	2	1	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	D₄×C₁₉	1	1	yes	characteristic
803	#121	C₂³×C₁₉	1	2	yes	—
804	#121	C₂³×C₁₉	1	2	yes	—
805	#121	C₂³×C₁₉	1	2	yes	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	1	no	—
808	C₄×Q₈	—	2	1	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
812	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
813	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
814	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
815	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
816	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
817	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
818	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
819	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	2	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	C₂³×C₁₉	1	2	yes	—
834	C₄×D₄	C₂³×C₁₉	1	2	yes	—
835	C₄×D₄	C₂³×C₁₉	1	2	yes	—
836	C₄×D₄	C₂³×C₁₉	1	2	yes	—
837	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
838	#117	—	2	1	no	—
839	#117	—	2	2	no	—
840	#117	C₂³×C₁₉	1	2	yes	—
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₄⋊C₄	—	2	2	no	—
843	C₂×C₄⋊C₄	—	2	2	no	—
844	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
846	C₂×C₄²	—	2	1	no	—
847	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
848	#107	C₂³×C₁₉	1	1	yes	characteristic
849	#107	C₂³×C₁₉	1	1	yes	characteristic
850	#107	C₂³×C₁₉	1	1	yes	characteristic
851	#107	C₂³×C₁₉	1	1	yes	characteristic
852	#107	C₂³×C₁₉	1	2	yes	—
853	#107	C₂³×C₁₉	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
856	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
861	#103	C₂³×C₁₉	1	1	yes	characteristic
862	#103	C₂³×C₁₉	1	2	yes	—
863	#103	C₂³×C₁₉	1	2	yes	—
864	#103	C₂³×C₁₉	1	2	yes	—
865	#103	C₂³×C₁₉	1	1	yes	characteristic
866	#103	C₂³×C₁₉	1	2	yes	—
867	#103	C₂³×C₁₉	1	2	yes	—
868	#103	C₂³×C₁₉	1	1	yes	characteristic
869	#103	C₂³×C₁₉	1	1	yes	characteristic
870	#103	C₂³×C₁₉	1	1	yes	characteristic
871	#103	C₂³×C₁₉	1	1	yes	characteristic
872	#103	C₂³×C₁₉	1	2	yes	—
873	#103	C₂³×C₁₉	1	1	yes	characteristic
874	#103	C₂³×C₁₉	1	1	yes	characteristic
875	#102	C₂³×C₁₉	1	2	yes	—
876	#102	C₂³×C₁₉	1	2	yes	—
877	#102	C₂³×C₁₉	1	2	yes	—
878	#102	C₂³×C₁₉	1	2	yes	—
879	#102	C₂³×C₁₉	1	2	yes	—
880	#102	C₂³×C₁₉	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
882	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
883	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
884	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
885	#97	C₂³×C₁₉	1	2	yes	—
886	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
887	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
888	C₄×C₈	C₂³×C₁₉	1	2	yes	—
889	C₁₉	#62046	1	1	yes	characteristic, direct product factor, Sylow
890	#41	—	2	4	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	4	2	no	—
894	#41	—	4	2	no	—
895	#41	—	4	2	no	—
896	#41	—	8	2	no	—
897	#41	—	8	4	no	—
898	C₂×Q₈	—	2	1	no	—
899	C₂×Q₈	—	2	1	no	—
900	C₂×Q₈	—	2	2	no	—
901	C₂×Q₈	—	2	2	no	—
902	C₂×Q₈	—	2	1	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	4	1	no	—
905	C₂×Q₈	—	4	2	no	—
906	C₂×Q₈	—	4	2	no	—
907	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
908	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
910	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
912	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
924	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
925	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
926	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
938	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
939	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
940	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
941	Q₁₆	—	2	2	no	—
942	Q₁₆	—	2	2	no	—
943	Q₁₆	—	2	4	no	—
944	Q₁₆	—	4	1	no	—
945	Q₁₆	—	4	1	no	—
946	Q₁₆	—	4	2	no	—
947	SD₁₆	—	2	4	no	—
948	SD₁₆	—	4	2	no	—
949	SD₁₆	—	4	2	no	—
950	SD₁₆	—	4	2	no	—
951	SD₁₆	—	4	2	no	—
952	SD₁₆	—	4	2	no	—
953	D₈	—	4	2	no	—
954	D₈	—	4	2	no	—
955	M₁₆	—	4	2	no	—
956	M₁₆	—	4	2	no	—
957	C₂×C₈	—	4	2	no	—
958	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
961	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
962	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
963	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
989	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
990	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
991	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
992	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
993	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
995	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1018	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1028	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1029	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1030	C₄²	C₂⁴×C₁₉	1	2	yes	—
1031	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1032	C₂³	—	2	2	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1035	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	1	no	—
1046	Q₈	—	4	2	no	—
1047	Q₈	—	8	2	no	—
1048	Q₈	—	8	1	no	—
1049	Q₈	—	8	2	no	—
1050	Q₈	—	8	1	no	—
1051	Q₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	4	4	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	8	1	no	—
1063	D₄	—	8	1	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1095	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1096	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1100	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1101	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1102	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1103	C₈	—	2	1	no	—
1104	C₈	—	2	2	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	2	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	1	no	—
1109	C₂²	—	2	1	no	—
1110	C₂²	—	2	2	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1122	C₄	—	2	2	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	C₁₉×#578	1	2	yes	—
1140	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1141	C₄	C₁₉×#585	1	1	yes	characteristic
1142	C₂	—	4	1	no	—
1143	C₂	—	4	2	no	—
1144	C₂	—	8	2	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₁₉×#3488	1	1	yes	characteristic
1147	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
1148	C₂	C₁₉×#3585	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×#3522	C₂	semidirect
3. C₁₉×#3400	C₂	semidirect
4. C₁₉×#3396	C₂	semidirect
5. C₁₉×#3375	C₂	semidirect
6. C₁₉×#3363	C₂	semidirect
7. C₁₉×#3333	C₂	semidirect
8. C₁₉×#3330	C₂	semidirect
9. C₁₉×#3308	C₂	semidirect
10. C₁₉×#3299	C₂	semidirect
11. C₁₉×#3287	C₂	semidirect
12. C₁₉×#3278	C₂	semidirect
13. C₁₉×#3277	C₂	semidirect
14. C₁₉×#3269	C₂	semidirect
15. C₁₉×#3262	C₂	semidirect
16. C₁₉×#3254	C₂	semidirect
17. C₁₉×#3225	C₂	semidirect
18. C₁₉×#3207	C₂	semidirect
19. C₁₉×#3124	C₂	semidirect
20. C₁₉×#3104	C₂	semidirect
21. C₁₉×#3046	C₂	semidirect
22. C₁₉×#3037	C₂	semidirect
23. C₁₉×#2993	C₂	semidirect
457. #62046	C₁₉	direct (N × H)
535. #3554	C₂×C₁₉	semidirect
536. #3522	C₂×C₁₉	semidirect
537. #3400	C₂×C₁₉	semidirect
538. #3396	C₂×C₁₉	semidirect
539. #3375	C₂×C₁₉	semidirect
540. #3363	C₂×C₁₉	semidirect
541. #3333	C₂×C₁₉	semidirect
542. #3330	C₂×C₁₉	semidirect
543. #3308	C₂×C₁₉	semidirect
544. #3299	C₂×C₁₉	semidirect
545. #3287	C₂×C₁₉	semidirect
546. #3278	C₂×C₁₉	semidirect
547. #3277	C₂×C₁₉	semidirect
548. #3269	C₂×C₁₉	semidirect
549. #3262	C₂×C₁₉	semidirect
550. #3254	C₂×C₁₉	semidirect
551. #3225	C₂×C₁₉	semidirect
552. #3207	C₂×C₁₉	semidirect
553. #3124	C₂×C₁₉	semidirect
554. #3104	C₂×C₁₉	semidirect
555. #3046	C₂×C₁₉	semidirect
556. #3037	C₂×C₁₉	semidirect
557. #2993	C₂×C₁₉	semidirect
889. C₁₉	#62046	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×#3522	2
C₁₉×#3400	2
C₁₉×#3396	2
C₁₉×#3375	2
C₁₉×#3363	2
C₁₉×#3333	2
C₁₉×#3330	2
C₁₉×#3308	2
C₁₉×#3299	2
C₁₉×#3287	2
C₁₉×#3278	2
C₁₉×#3277	2
C₁₉×#3269	2
C₁₉×#3262	2
C₁₉×#3254	2
C₁₉×#3225	2
C₁₉×#3207	2
C₁₉×#3124	2
C₁₉×#3104	2
C₁₉×#3046	2
C₁₉×#3037	2
C₁₉×#2993	2
#62046	19

Subgroups — C19×#62046 #18068005

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62046 #18068005