Subgroups — C₁₉×#62350 #18068309

Order 4864.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3547	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3356	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3349	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3340	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3329	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3313	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3312	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3302	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3270	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3249	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3248	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3202	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3201	C₂	1	2	yes	maximal, complemented
19	C₁₉×#3185	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3063	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3059	C₂	1	2	yes	maximal, complemented
23	C₁₉×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂²×Q₁₆×C₁₉	C₂²	1	2	yes	—
26	C₂×C₁₉×#131	C₂²	1	2	yes	—
27	C₁₉×#563	—	2	2	no	—
28	C₁₉×#562	—	2	2	no	—
29	C₁₉×#559	—	2	1	no	—
30	Q₈²×C₁₉	—	2	1	no	—
31	C₁₉×#556	C₂²	1	1	yes	characteristic
32	C₁₉×#556	C₂²	1	2	yes	—
33	C₁₉×#556	C₂²	1	1	yes	characteristic
34	C₁₉×#555	—	2	1	no	—
35	C₁₉×#555	C₂²	1	1	yes	characteristic
36	C₁₉×#554	C₂²	1	1	yes	characteristic
37	C₁₉×#553	—	2	1	no	—
38	C₁₉×#552	C₂²	1	2	yes	—
39	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
40	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
42	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
43	C₁₉×#548	C₂²	1	2	yes	—
44	C₁₉×#547	C₂²	1	1	yes	characteristic
45	C₁₉×#544	—	2	1	no	—
46	C₁₉×#542	—	2	2	no	—
47	C₁₉×#542	—	2	1	no	—
48	C₁₉×#542	—	2	1	no	—
49	C₁₉×#542	—	2	2	no	—
50	C₁₉×#540	—	2	1	no	—
51	C₁₉×#537	C₂²	1	2	yes	—
52	C₁₉×#536	C₂²	1	2	yes	—
53	C₁₉×#536	C₂²	1	2	yes	—
54	C₁₉×#536	C₂²	1	2	yes	—
55	C₁₉×#533	C₂²	1	1	yes	characteristic
56	C₁₉×#533	C₂²	1	1	yes	characteristic
57	C₁₉×#533	C₂²	1	1	yes	characteristic
58	C₁₉×#532	C₂²	1	1	yes	characteristic
59	C₁₉×#529	C₂²	1	1	yes	characteristic
60	C₁₉×#501	C₂²	1	1	yes	characteristic
61	C₁₉×#498	C₂²	1	1	yes	characteristic
62	C₁₉×#497	C₂²	1	1	yes	characteristic
63	C₁₉×#494	C₂²	1	1	yes	characteristic
64	C₁₉×#491	C₂²	1	1	yes	characteristic
65	C₁₉×#489	C₂²	1	1	yes	characteristic
66	C₁₉×#487	C₂²	1	1	yes	characteristic
67	C₁₉×#487	C₂²	1	1	yes	characteristic
68	C₁₉×#485	C₂²	1	2	yes	—
69	C₁₉×#485	C₂²	1	2	yes	—
70	C₁₉×#485	C₂²	1	2	yes	—
71	C₁₉×#485	C₂²	1	2	yes	—
72	C₁₉×#485	C₂²	1	2	yes	—
73	C₁₉×#484	C₂²	1	2	yes	—
74	C₁₉×#483	C₂²	1	2	yes	—
75	C₁₉×#482	C₂²	1	2	yes	—
76	C₁₉×#479	C₂²	1	2	yes	—
77	C₁₉×#477	C₂²	1	1	yes	characteristic
78	C₁₉×#477	C₂²	1	2	yes	—
79	C₁₉×#477	C₂²	1	1	yes	characteristic
80	C₁₉×#475	C₂²	1	1	yes	characteristic
81	C₁₉×#474	C₂²	1	1	yes	characteristic
82	C₁₉×#470	C₂²	1	1	yes	characteristic
83	C₁₉×#470	C₂²	1	1	yes	characteristic
84	C₁₉×#470	C₂²	1	2	yes	—
85	C₁₉×#470	C₂²	1	2	yes	—
86	C₁₉×#470	C₂²	1	2	yes	—
87	C₁₉×#470	C₂²	1	2	yes	—
88	C₁₉×#470	C₂²	1	2	yes	—
89	C₁₉×#468	C₂²	1	1	yes	characteristic
90	C₁₉×#468	C₂²	1	1	yes	characteristic
91	C₁₉×#468	C₂²	1	2	yes	—
92	C₁₉×#467	C₂²	1	2	yes	—
93	C₁₉×#467	C₂²	1	2	yes	—
94	C₁₉×#467	C₂²	1	2	yes	—
95	C₁₉×#467	C₂²	1	2	yes	—
96	C₁₉×#467	C₂²	1	2	yes	—
97	C₁₉×#467	C₂²	1	2	yes	—
98	C₁₉×#465	C₂²	1	2	yes	—
99	C₁₉×#465	C₂²	1	2	yes	—
100	C₁₉×#464	C₂²	1	2	yes	—
101	C₁₉×#462	C₂²	1	1	yes	characteristic
102	C₁₉×#462	C₂²	1	2	yes	—
103	C₁₉×#462	C₂²	1	1	yes	characteristic
104	C₁₉×#462	C₂²	1	1	yes	characteristic
105	C₁₉×#461	C₂²	1	1	yes	characteristic
106	C₁₉×#452	C₂²	1	2	yes	—
107	C₁₉×#452	C₂²	1	2	yes	—
108	C₁₉×#451	C₂²	1	2	yes	—
109	C₁₉×#451	C₂²	1	2	yes	—
110	C₁₉×#451	C₂²	1	2	yes	—
111	C₁₉×#451	C₂²	1	2	yes	—
112	C₁₉×#451	C₂²	1	2	yes	—
113	C₁₉×#448	C₂²	1	2	yes	—
114	C₁₉×#441	C₂²	1	2	yes	—
115	C₁₉×#441	C₂²	1	2	yes	—
116	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
117	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
120	C₁₉×#436	C₂²	1	1	yes	characteristic
121	C₁₉×#436	C₂²	1	1	yes	characteristic
122	C₁₉×#435	C₂²	1	2	yes	—
123	C₁₉×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
125	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
126	C₁₉×#428	C₂²	1	2	yes	—
127	C₁₉×#427	C₂²	1	2	yes	—
128	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
129	C₁₉×#419	C₂²	1	2	yes	—
130	C₁₉×#419	C₂²	1	2	yes	—
131	C₁₉×#416	C₂²	1	2	yes	—
132	C₂×C₁₉×#103	C₂²	1	2	yes	—
133	C₁₉×#408	C₂²	1	2	yes	—
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₁₉	C₂³	1	2	yes	—
136	C₂×#41×C₁₉	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
140	C₁₉×#137	—	4	4	no	—
141	C₂×Q₁₆×C₁₉	—	4	4	no	—
142	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
143	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
144	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
145	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
150	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₁₉×#131	—	4	4	no	—
153	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
155	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
160	C₁₉×C₄⋊Q₈	—	2	2	no	—
161	C₁₉×C₄⋊Q₈	—	2	2	no	—
162	C₁₉×C₄⋊Q₈	—	2	2	no	—
163	C₁₉×C₄⋊Q₈	—	2	1	no	—
164	C₁₉×C₄⋊Q₈	—	2	1	no	—
165	C₁₉×C₄⋊Q₈	—	2	2	no	—
166	C₁₉×C₄⋊Q₈	—	2	1	no	—
167	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₉×#127	D₄	1	1	yes	characteristic
175	C₁₉×#126	—	2	2	no	—
176	C₁₉×#126	—	2	2	no	—
177	C₁₉×#126	—	2	2	no	—
178	C₁₉×#126	—	2	2	no	—
179	C₁₉×#126	—	2	2	no	—
180	C₁₉×#126	—	2	1	no	—
181	C₁₉×#125	—	2	2	no	—
182	C₁₉×#125	—	2	1	no	—
183	C₁₉×#125	—	2	1	no	—
184	C₁₉×#125	—	2	1	no	—
185	C₁₉×#125	—	2	1	no	—
186	C₁₉×#125	C₂³	1	1	yes	characteristic
187	C₁₉×#124	—	2	2	no	—
188	C₁₉×#124	—	2	2	no	—
189	C₁₉×#124	—	2	2	no	—
190	C₁₉×#124	—	2	1	no	—
191	C₁₉×#124	—	2	1	no	—
192	C₁₉×#124	—	2	2	no	—
193	C₁₉×#124	—	2	2	no	—
194	C₁₉×#124	—	2	2	no	—
195	C₁₉×#124	D₄	1	2	yes	—
196	C₁₉×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
205	C₁₉×#123	—	2	2	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	—	2	1	no	—
208	C₁₉×C₂²⋊Q₈	—	2	1	no	—
209	C₁₉×C₂²⋊Q₈	—	2	1	no	—
210	C₁₉×C₂²⋊Q₈	—	2	2	no	—
211	C₁₉×C₂²⋊Q₈	—	2	2	no	—
212	C₁₉×C₂²⋊Q₈	—	2	2	no	—
213	C₁₉×C₂²⋊Q₈	—	2	2	no	—
214	C₁₉×C₂²⋊Q₈	—	2	2	no	—
215	C₁₉×C₂²⋊Q₈	—	2	2	no	—
216	C₁₉×C₂²⋊Q₈	—	2	2	no	—
217	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₁₉×#121	—	2	2	no	—
230	C₁₉×#121	—	2	2	no	—
231	C₁₉×#121	—	2	2	no	—
232	C₁₉×#121	—	2	1	no	—
233	C₁₉×#121	—	2	2	no	—
234	C₁₉×#121	—	2	1	no	—
235	C₁₉×#121	D₄	1	1	yes	characteristic
236	C₁₉×#121	D₄	1	1	yes	characteristic
237	C₁₉×#121	D₄	1	2	yes	—
238	C₁₉×#121	C₂³	1	2	yes	—
239	C₁₉×#121	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	—	2	1	no	—
241	C₄×Q₈×C₁₉	—	2	1	no	—
242	C₄×Q₈×C₁₉	—	2	2	no	—
243	C₄×Q₈×C₁₉	—	2	1	no	—
244	C₄×Q₈×C₁₉	—	2	1	no	—
245	C₄×Q₈×C₁₉	—	2	1	no	—
246	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
250	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	1	no	—
253	C₄×D₄×C₁₉	—	2	1	no	—
254	C₄×D₄×C₁₉	—	2	1	no	—
255	C₄×D₄×C₁₉	—	2	2	no	—
256	C₄×D₄×C₁₉	—	2	1	no	—
257	C₄×D₄×C₁₉	—	2	2	no	—
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₉	C₂³	1	2	yes	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	—	2	1	no	—
266	C₁₉×#117	—	2	2	no	—
267	C₁₉×#117	—	2	1	no	—
268	C₁₉×#117	C₂³	1	2	yes	—
269	C₁₉×#117	C₂³	1	2	yes	—
270	C₁₉×#117	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
272	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	2	yes	—
275	C₁₉×#107	C₂³	1	2	yes	—
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#107	C₂³	1	2	yes	—
278	C₁₉×#107	C₂³	1	1	yes	characteristic
279	C₁₉×#106	C₂³	1	1	yes	characteristic
280	C₁₉×#106	C₂³	1	2	yes	—
281	C₁₉×#106	C₂³	1	2	yes	—
282	C₁₉×#106	C₂³	1	1	yes	characteristic
283	C₁₉×#106	C₂³	1	2	yes	—
284	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	1	yes	characteristic
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#103	C₂³	1	2	yes	—
292	C₁₉×#103	C₂³	1	2	yes	—
293	C₁₉×#103	C₂³	1	1	yes	characteristic
294	C₁₉×#103	C₂³	1	1	yes	characteristic
295	C₁₉×#103	C₂³	1	2	yes	—
296	C₁₉×#103	C₂³	1	2	yes	—
297	C₁₉×#103	C₂³	1	2	yes	—
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×#103	C₂³	1	1	yes	characteristic
302	C₁₉×#103	C₂³	1	2	yes	—
303	C₁₉×#103	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	2	yes	—
306	C₁₉×#102	C₂³	1	1	yes	characteristic
307	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	1	yes	characteristic
312	C₁₉×#97	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
315	#41×C₁₉	—	4	2	no	—
316	#41×C₁₉	—	4	2	no	—
317	#41×C₁₉	—	4	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	C₂×Q₈×C₁₉	—	2	1	no	—
320	C₂×Q₈×C₁₉	—	2	1	no	—
321	C₂×Q₈×C₁₉	—	2	1	no	—
322	C₂×Q₈×C₁₉	—	2	2	no	—
323	C₂×Q₈×C₁₉	—	2	2	no	—
324	C₂×Q₈×C₁₉	—	2	2	no	—
325	C₂×Q₈×C₁₉	—	4	2	no	—
326	C₂×Q₈×C₁₉	—	4	2	no	—
327	C₂×Q₈×C₁₉	—	4	2	no	—
328	C₂×Q₈×C₁₉	—	4	2	no	—
329	C₂×Q₈×C₁₉	—	4	2	no	—
330	C₂×Q₈×C₁₉	—	4	2	no	—
331	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
332	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
336	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
337	C₂×D₄×C₁₉	—	2	1	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	—	2	2	no	—
340	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₉	—	2	2	no	—
348	C₂²×C₄×C₁₉	—	2	2	no	—
349	C₂²×C₄×C₁₉	—	2	2	no	—
350	C₂²×C₄×C₁₉	—	2	2	no	—
351	C₂²×C₄×C₁₉	—	2	1	no	—
352	C₂²×C₄×C₁₉	—	2	2	no	—
353	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
358	Q₁₆×C₁₉	—	2	2	no	—
359	Q₁₆×C₁₉	—	2	4	no	—
360	Q₁₆×C₁₉	—	4	2	no	—
361	Q₁₆×C₁₉	—	4	2	no	—
362	Q₁₆×C₁₉	—	4	1	no	—
363	Q₁₆×C₁₉	—	4	2	no	—
364	Q₁₆×C₁₉	—	4	2	no	—
365	SD₁₆×C₁₉	—	2	2	no	—
366	SD₁₆×C₁₉	—	4	1	no	—
367	SD₁₆×C₁₉	—	4	2	no	—
368	M₁₆×C₁₉	—	2	2	no	—
369	M₁₆×C₁₉	—	2	4	no	—
370	M₁₆×C₁₉	—	4	1	no	—
371	M₁₆×C₁₉	—	4	2	no	—
372	C₂×C₈×C₁₉	—	2	4	no	—
373	C₂×C₈×C₁₉	—	4	2	no	—
374	C₂×C₈×C₁₉	—	4	2	no	—
375	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
381	C₄⋊C₄×C₁₉	—	2	1	no	—
382	C₄⋊C₄×C₁₉	—	2	2	no	—
383	C₄⋊C₄×C₁₉	—	2	2	no	—
384	C₄⋊C₄×C₁₉	—	2	1	no	—
385	C₄⋊C₄×C₁₉	—	2	1	no	—
386	C₄⋊C₄×C₁₉	—	2	2	no	—
387	C₄⋊C₄×C₁₉	—	2	1	no	—
388	C₄⋊C₄×C₁₉	—	2	1	no	—
389	C₄⋊C₄×C₁₉	—	2	1	no	—
390	C₄⋊C₄×C₁₉	—	2	1	no	—
391	C₄⋊C₄×C₁₉	—	2	1	no	—
392	C₄⋊C₄×C₁₉	—	2	1	no	—
393	C₄⋊C₄×C₁₉	—	2	1	no	—
394	C₄⋊C₄×C₁₉	—	2	1	no	—
395	C₄⋊C₄×C₁₉	—	2	2	no	—
396	C₄⋊C₄×C₁₉	—	2	2	no	—
397	C₄⋊C₄×C₁₉	—	2	1	no	—
398	C₄⋊C₄×C₁₉	—	2	2	no	—
399	C₄⋊C₄×C₁₉	—	2	2	no	—
400	C₄⋊C₄×C₁₉	—	2	2	no	—
401	C₄⋊C₄×C₁₉	—	2	2	no	—
402	C₄⋊C₄×C₁₉	—	2	2	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	1	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
411	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
412	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
413	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
415	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
416	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
417	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
418	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
419	C₂²⋊C₄×C₁₉	—	2	2	no	—
420	C₂²⋊C₄×C₁₉	—	2	2	no	—
421	C₂²⋊C₄×C₁₉	—	2	2	no	—
422	C₂²⋊C₄×C₁₉	—	2	1	no	—
423	C₂²⋊C₄×C₁₉	—	2	1	no	—
424	C₂²⋊C₄×C₁₉	—	2	2	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	1	no	—
434	C₂²⋊C₄×C₁₉	—	2	1	no	—
435	C₂²⋊C₄×C₁₉	—	2	1	no	—
436	C₂²⋊C₄×C₁₉	—	2	2	no	—
437	C₂²⋊C₄×C₁₉	—	2	1	no	—
438	C₂²⋊C₄×C₁₉	—	2	1	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	C₄²×C₁₉	—	2	2	no	—
444	C₄²×C₁₉	—	2	2	no	—
445	C₄²×C₁₉	—	2	1	no	—
446	C₄²×C₁₉	—	2	2	no	—
447	C₄²×C₁₉	—	2	1	no	—
448	C₄²×C₁₉	—	2	1	no	—
449	C₄²×C₁₉	—	2	2	no	—
450	C₄²×C₁₉	—	2	2	no	—
451	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
455	#62350	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
456	C₂³×C₁₉	—	2	1	no	—
457	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
458	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
459	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
460	Q₈×C₁₉	—	2	1	no	—
461	Q₈×C₁₉	—	2	2	no	—
462	Q₈×C₁₉	—	2	1	no	—
463	Q₈×C₁₉	—	2	1	no	—
464	Q₈×C₁₉	—	2	2	no	—
465	Q₈×C₁₉	—	2	1	no	—
466	Q₈×C₁₉	—	2	1	no	—
467	Q₈×C₁₉	—	2	1	no	—
468	Q₈×C₁₉	—	2	2	no	—
469	Q₈×C₁₉	—	2	2	no	—
470	Q₈×C₁₉	—	4	2	no	—
471	Q₈×C₁₉	—	4	2	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	8	1	no	—
474	Q₈×C₁₉	—	8	2	no	—
475	Q₈×C₁₉	—	8	2	no	—
476	Q₈×C₁₉	—	8	2	no	—
477	D₄×C₁₉	—	2	2	no	—
478	D₄×C₁₉	—	2	2	no	—
479	D₄×C₁₉	—	2	1	no	—
480	D₄×C₁₉	—	2	1	no	—
481	D₄×C₁₉	—	4	2	no	—
482	D₄×C₁₉	—	4	2	no	—
483	D₄×C₁₉	—	4	2	no	—
484	D₄×C₁₉	—	4	2	no	—
485	D₄×C₁₉	—	8	1	no	—
486	D₄×C₁₉	—	8	2	no	—
487	D₄×C₁₉	—	8	2	no	—
488	C₂×C₄×C₁₉	—	2	2	no	—
489	C₂×C₄×C₁₉	—	2	2	no	—
490	C₂×C₄×C₁₉	—	2	1	no	—
491	C₂×C₄×C₁₉	—	2	2	no	—
492	C₂×C₄×C₁₉	—	2	1	no	—
493	C₂×C₄×C₁₉	—	2	2	no	—
494	C₂×C₄×C₁₉	—	2	2	no	—
495	C₂×C₄×C₁₉	—	2	1	no	—
496	C₂×C₄×C₁₉	—	2	1	no	—
497	C₂×C₄×C₁₉	—	2	2	no	—
498	C₂×C₄×C₁₉	—	2	1	no	—
499	C₂×C₄×C₁₉	—	2	2	no	—
500	C₂×C₄×C₁₉	—	2	1	no	—
501	C₂×C₄×C₁₉	—	2	1	no	—
502	C₂×C₄×C₁₉	—	2	2	no	—
503	C₂×C₄×C₁₉	—	2	1	no	—
504	C₂×C₄×C₁₉	—	2	2	no	—
505	C₂×C₄×C₁₉	—	2	1	no	—
506	C₂×C₄×C₁₉	—	4	1	no	—
507	C₂×C₄×C₁₉	—	4	2	no	—
508	C₂×C₄×C₁₉	—	8	2	no	—
509	C₂×C₄×C₁₉	—	8	2	no	—
510	C₂×C₄×C₁₉	—	8	2	no	—
511	C₂×C₄×C₁₉	—	8	2	no	—
512	C₂×C₄×C₁₉	—	8	2	no	—
513	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
521	C₈×C₁₉	—	2	2	no	—
522	C₈×C₁₉	—	2	1	no	—
523	C₈×C₁₉	—	2	2	no	—
524	C₈×C₁₉	—	2	1	no	—
525	C₈×C₁₉	—	2	1	no	—
526	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
527	#3550	C₂×C₁₉	1	1	yes	characteristic, complemented
528	#3547	C₂×C₁₉	1	1	yes	characteristic
529	#3356	C₂×C₁₉	1	1	yes	characteristic, complemented
530	#3349	C₂×C₁₉	1	2	yes	complemented
531	#3340	C₂×C₁₉	1	1	yes	characteristic, complemented
532	#3329	C₂×C₁₉	1	1	yes	characteristic, complemented
533	#3328	C₂×C₁₉	1	1	yes	characteristic, complemented
534	#3313	C₂×C₁₉	1	2	yes	complemented
535	#3312	C₂×C₁₉	1	2	yes	complemented
536	#3302	C₂×C₁₉	1	1	yes	characteristic, complemented
537	#3299	C₂×C₁₉	1	1	yes	characteristic, complemented
538	D₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#3270	C₂×C₁₉	1	2	yes	complemented
541	#3249	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3248	C₂×C₁₉	1	1	yes	characteristic, complemented
543	#3202	C₂×C₁₉	1	2	yes	complemented
544	#3201	C₂×C₁₉	1	2	yes	complemented
545	#3185	C₂×C₁₉	1	1	yes	characteristic, complemented
546	#3172	C₂×C₁₉	1	1	yes	characteristic, complemented
547	#3063	C₂×C₁₉	1	2	yes	complemented
548	#3059	C₂×C₁₉	1	2	yes	complemented
549	#2935	C₂×C₁₉	1	1	yes	characteristic, complemented
550	C₂²×C₁₉	—	2	1	no	—
551	C₂²×C₁₉	—	2	2	no	—
552	C₂²×C₁₉	—	2	2	no	—
553	C₂²×C₁₉	—	2	2	no	—
554	C₂²×C₁₉	—	2	2	no	—
555	C₂²×C₁₉	—	2	1	no	—
556	C₂²×C₁₉	—	2	1	no	—
557	C₂²×C₁₉	—	2	2	no	—
558	C₂²×C₁₉	—	2	2	no	—
559	C₂²×C₁₉	—	4	1	no	—
560	C₂²×C₁₉	—	4	1	no	—
561	C₂²×C₁₉	—	4	1	no	—
562	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
563	C₄×C₁₉	—	2	1	no	—
564	C₄×C₁₉	—	2	1	no	—
565	C₄×C₁₉	—	2	2	no	—
566	C₄×C₁₉	—	2	1	no	—
567	C₄×C₁₉	—	2	2	no	—
568	C₄×C₁₉	—	2	1	no	—
569	C₄×C₁₉	—	4	1	no	—
570	C₄×C₁₉	—	4	2	no	—
571	C₄×C₁₉	—	4	1	no	—
572	C₄×C₁₉	—	4	1	no	—
573	C₄×C₁₉	—	4	2	no	—
574	C₄×C₁₉	—	4	1	no	—
575	C₄×C₁₉	—	4	1	no	—
576	C₄×C₁₉	—	4	2	no	—
577	C₄×C₁₉	—	4	1	no	—
578	C₄×C₁₉	—	4	1	no	—
579	C₄×C₁₉	—	4	2	no	—
580	C₄×C₁₉	#578	1	2	yes	—
581	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
582	C₄×C₁₉	#585	1	1	yes	characteristic
583	C₂×#137	C₂²×C₁₉	1	2	yes	—
584	C₂²×Q₁₆	C₂²×C₁₉	1	2	yes	—
585	C₂×#131	C₂²×C₁₉	1	2	yes	—
586	#563	—	2	2	no	—
587	#562	—	2	2	no	—
588	#559	—	2	1	no	—
589	Q₈²	—	2	1	no	—
590	#556	C₂²×C₁₉	1	1	yes	characteristic
591	#556	C₂²×C₁₉	1	2	yes	—
592	#556	C₂²×C₁₉	1	1	yes	characteristic
593	#555	—	2	1	no	—
594	#555	C₂²×C₁₉	1	1	yes	characteristic
595	#554	C₂²×C₁₉	1	1	yes	characteristic
596	#553	—	2	1	no	—
597	#552	C₂²×C₁₉	1	2	yes	—
598	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
599	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
600	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
601	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
602	#548	C₂²×C₁₉	1	2	yes	—
603	#547	C₂²×C₁₉	1	1	yes	characteristic
604	#544	—	2	1	no	—
605	#542	—	2	2	no	—
606	#542	—	2	1	no	—
607	#542	—	2	1	no	—
608	#542	—	2	2	no	—
609	#540	—	2	1	no	—
610	#537	C₂²×C₁₉	1	2	yes	—
611	#536	C₂²×C₁₉	1	2	yes	—
612	#536	C₂²×C₁₉	1	2	yes	—
613	#536	C₂²×C₁₉	1	2	yes	—
614	#533	C₂²×C₁₉	1	1	yes	characteristic
615	#533	C₂²×C₁₉	1	1	yes	characteristic
616	#533	C₂²×C₁₉	1	1	yes	characteristic
617	#532	C₂²×C₁₉	1	1	yes	characteristic
618	#529	C₂²×C₁₉	1	1	yes	characteristic
619	#501	C₂²×C₁₉	1	1	yes	characteristic
620	#498	C₂²×C₁₉	1	1	yes	characteristic
621	#497	C₂²×C₁₉	1	1	yes	characteristic
622	#494	C₂²×C₁₉	1	1	yes	characteristic
623	#491	C₂²×C₁₉	1	1	yes	characteristic
624	#489	C₂²×C₁₉	1	1	yes	characteristic
625	#487	C₂²×C₁₉	1	1	yes	characteristic
626	#487	C₂²×C₁₉	1	1	yes	characteristic
627	#485	C₂²×C₁₉	1	2	yes	—
628	#485	C₂²×C₁₉	1	2	yes	—
629	#485	C₂²×C₁₉	1	2	yes	—
630	#485	C₂²×C₁₉	1	2	yes	—
631	#485	C₂²×C₁₉	1	2	yes	—
632	#484	C₂²×C₁₉	1	2	yes	—
633	#483	C₂²×C₁₉	1	2	yes	—
634	#482	C₂²×C₁₉	1	2	yes	—
635	#479	C₂²×C₁₉	1	2	yes	—
636	#477	C₂²×C₁₉	1	1	yes	characteristic
637	#477	C₂²×C₁₉	1	1	yes	characteristic
638	#477	C₂²×C₁₉	1	2	yes	—
639	#475	C₂²×C₁₉	1	1	yes	characteristic
640	#474	C₂²×C₁₉	1	1	yes	characteristic
641	#470	C₂²×C₁₉	1	2	yes	—
642	#470	C₂²×C₁₉	1	2	yes	—
643	#470	C₂²×C₁₉	1	2	yes	—
644	#470	C₂²×C₁₉	1	1	yes	characteristic
645	#470	C₂²×C₁₉	1	1	yes	characteristic
646	#470	C₂²×C₁₉	1	2	yes	—
647	#470	C₂²×C₁₉	1	2	yes	—
648	#468	C₂²×C₁₉	1	2	yes	—
649	#468	C₂²×C₁₉	1	1	yes	characteristic
650	#468	C₂²×C₁₉	1	1	yes	characteristic
651	#467	C₂²×C₁₉	1	2	yes	—
652	#467	C₂²×C₁₉	1	2	yes	—
653	#467	C₂²×C₁₉	1	2	yes	—
654	#467	C₂²×C₁₉	1	2	yes	—
655	#467	C₂²×C₁₉	1	2	yes	—
656	#467	C₂²×C₁₉	1	2	yes	—
657	#465	C₂²×C₁₉	1	2	yes	—
658	#465	C₂²×C₁₉	1	2	yes	—
659	#464	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	#461	C₂²×C₁₉	1	1	yes	characteristic
665	#452	C₂²×C₁₉	1	2	yes	—
666	#452	C₂²×C₁₉	1	2	yes	—
667	#451	C₂²×C₁₉	1	2	yes	—
668	#451	C₂²×C₁₉	1	2	yes	—
669	#451	C₂²×C₁₉	1	2	yes	—
670	#451	C₂²×C₁₉	1	2	yes	—
671	#451	C₂²×C₁₉	1	2	yes	—
672	#448	C₂²×C₁₉	1	2	yes	—
673	#441	C₂²×C₁₉	1	2	yes	—
674	#441	C₂²×C₁₉	1	2	yes	—
675	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
676	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
679	#436	C₂²×C₁₉	1	1	yes	characteristic
680	#436	C₂²×C₁₉	1	1	yes	characteristic
681	#435	C₂²×C₁₉	1	2	yes	—
682	#435	C₂²×C₁₉	1	2	yes	—
683	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
684	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
685	#428	C₂²×C₁₉	1	2	yes	—
686	#427	C₂²×C₁₉	1	2	yes	—
687	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
688	#419	C₂²×C₁₉	1	2	yes	—
689	#419	C₂²×C₁₉	1	2	yes	—
690	#416	C₂²×C₁₉	1	2	yes	—
691	C₂×#103	C₂²×C₁₉	1	2	yes	—
692	#408	C₂²×C₁₉	1	2	yes	—
693	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
694	C₂×C₁₉	—	4	1	no	—
695	C₂×C₁₉	—	4	2	no	—
696	C₂×C₁₉	—	4	2	no	—
697	C₂×C₁₉	—	8	1	no	—
698	C₂×C₁₉	#3496	1	1	yes	characteristic
699	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
700	C₂×C₁₉	#3586	1	1	yes	characteristic
701	C₂×#41	C₂³×C₁₉	1	2	yes	—
702	C₂×#41	C₂³×C₁₉	1	2	yes	—
703	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
704	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
705	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
706	#137	—	4	4	no	—
707	C₂×Q₁₆	—	4	4	no	—
708	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
709	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
710	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
711	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
712	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
713	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
714	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
715	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
716	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
717	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
718	#131	—	4	4	no	—
719	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
720	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
721	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
722	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
723	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
724	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
725	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
726	C₄⋊Q₈	—	2	2	no	—
727	C₄⋊Q₈	—	2	2	no	—
728	C₄⋊Q₈	—	2	2	no	—
729	C₄⋊Q₈	—	2	1	no	—
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	—	2	2	no	—
732	C₄⋊Q₈	—	2	1	no	—
733	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
739	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
740	#127	D₄×C₁₉	1	1	yes	characteristic
741	#126	—	2	2	no	—
742	#126	—	2	2	no	—
743	#126	—	2	2	no	—
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	1	no	—
747	#125	—	2	2	no	—
748	#125	—	2	1	no	—
749	#125	—	2	1	no	—
750	#125	—	2	1	no	—
751	#125	—	2	1	no	—
752	#125	C₂³×C₁₉	1	1	yes	characteristic
753	#124	—	2	2	no	—
754	#124	—	2	2	no	—
755	#124	—	2	2	no	—
756	#124	—	2	1	no	—
757	#124	—	2	1	no	—
758	#124	—	2	2	no	—
759	#124	—	2	2	no	—
760	#124	—	2	2	no	—
761	#124	D₄×C₁₉	1	2	yes	—
762	#124	C₂³×C₁₉	1	1	yes	characteristic
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	1	no	—
771	#123	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	1	no	—
774	C₂²⋊Q₈	—	2	1	no	—
775	C₂²⋊Q₈	—	2	1	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
784	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
785	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
786	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
787	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
788	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
789	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
790	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
791	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
792	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
794	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	—	2	1	no	—
799	#121	—	2	2	no	—
800	#121	—	2	1	no	—
801	#121	D₄×C₁₉	1	1	yes	characteristic
802	#121	D₄×C₁₉	1	1	yes	characteristic
803	#121	D₄×C₁₉	1	2	yes	—
804	#121	C₂³×C₁₉	1	1	yes	characteristic
805	#121	C₂³×C₁₉	1	2	yes	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	1	no	—
808	C₄×Q₈	—	2	2	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
813	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
814	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
815	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
816	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
825	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
826	C₄×D₄	C₂³×C₁₉	1	2	yes	—
827	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
828	#117	—	2	1	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	—	2	1	no	—
832	#117	—	2	2	no	—
833	#117	—	2	1	no	—
834	#117	C₂³×C₁₉	1	2	yes	—
835	#117	C₂³×C₁₉	1	2	yes	—
836	#117	C₂³×C₁₉	1	2	yes	—
837	C₂×C₄⋊C₄	—	2	1	no	—
838	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
839	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
840	#107	C₂³×C₁₉	1	2	yes	—
841	#107	C₂³×C₁₉	1	2	yes	—
842	#107	C₂³×C₁₉	1	1	yes	characteristic
843	#107	C₂³×C₁₉	1	2	yes	—
844	#107	C₂³×C₁₉	1	1	yes	characteristic
845	#106	C₂³×C₁₉	1	1	yes	characteristic
846	#106	C₂³×C₁₉	1	2	yes	—
847	#106	C₂³×C₁₉	1	2	yes	—
848	#106	C₂³×C₁₉	1	1	yes	characteristic
849	#106	C₂³×C₁₉	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
852	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
853	#103	C₂³×C₁₉	1	1	yes	characteristic
854	#103	C₂³×C₁₉	1	2	yes	—
855	#103	C₂³×C₁₉	1	2	yes	—
856	#103	C₂³×C₁₉	1	2	yes	—
857	#103	C₂³×C₁₉	1	2	yes	—
858	#103	C₂³×C₁₉	1	2	yes	—
859	#103	C₂³×C₁₉	1	1	yes	characteristic
860	#103	C₂³×C₁₉	1	1	yes	characteristic
861	#103	C₂³×C₁₉	1	2	yes	—
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	1	yes	characteristic
867	#103	C₂³×C₁₉	1	1	yes	characteristic
868	#103	C₂³×C₁₉	1	2	yes	—
869	#103	C₂³×C₁₉	1	2	yes	—
870	#102	C₂³×C₁₉	1	1	yes	characteristic
871	#102	C₂³×C₁₉	1	2	yes	—
872	#102	C₂³×C₁₉	1	1	yes	characteristic
873	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
875	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
877	#97	C₂³×C₁₉	1	1	yes	characteristic
878	#97	C₂³×C₁₉	1	1	yes	characteristic
879	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
880	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
881	C₁₉	#62350	1	1	yes	characteristic, direct product factor, Sylow
882	#41	—	4	2	no	—
883	#41	—	4	2	no	—
884	#41	—	4	2	no	—
885	#41	—	4	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	4	2	no	—
893	C₂×Q₈	—	4	2	no	—
894	C₂×Q₈	—	4	2	no	—
895	C₂×Q₈	—	4	2	no	—
896	C₂×Q₈	—	4	2	no	—
897	C₂×Q₈	—	4	2	no	—
898	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
899	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
902	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
903	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
908	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
909	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
910	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
911	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
912	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
913	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
921	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
924	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
925	Q₁₆	—	2	2	no	—
926	Q₁₆	—	2	4	no	—
927	Q₁₆	—	4	2	no	—
928	Q₁₆	—	4	2	no	—
929	Q₁₆	—	4	1	no	—
930	Q₁₆	—	4	2	no	—
931	Q₁₆	—	4	2	no	—
932	SD₁₆	—	2	2	no	—
933	SD₁₆	—	4	1	no	—
934	SD₁₆	—	4	2	no	—
935	M₁₆	—	2	2	no	—
936	M₁₆	—	2	4	no	—
937	M₁₆	—	4	1	no	—
938	M₁₆	—	4	2	no	—
939	C₂×C₈	—	2	4	no	—
940	C₂×C₈	—	4	2	no	—
941	C₂×C₈	—	4	2	no	—
942	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
946	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
947	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
978	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
979	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
980	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
981	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1019	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1020	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1021	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1022	C₂³	—	2	1	no	—
1023	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1024	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1025	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	2	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	2	1	no	—
1033	Q₈	—	2	1	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	4	2	no	—
1037	Q₈	—	4	2	no	—
1038	Q₈	—	4	2	no	—
1039	Q₈	—	8	2	no	—
1040	Q₈	—	8	2	no	—
1041	Q₈	—	8	2	no	—
1042	Q₈	—	8	1	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	2	1	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	1	no	—
1053	D₄	—	8	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1080	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1083	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1084	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1085	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1086	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1087	C₈	—	2	2	no	—
1088	C₈	—	2	1	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	1	no	—
1092	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1106	C₄	—	2	2	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	2	2	no	—
1109	C₄	—	2	1	no	—
1110	C₄	—	2	1	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	C₁₉×#578	1	2	yes	—
1124	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1125	C₄	C₁₉×#585	1	1	yes	characteristic
1126	C₂	—	4	2	no	—
1127	C₂	—	4	2	no	—
1128	C₂	—	4	1	no	—
1129	C₂	—	8	1	no	—
1130	C₂	C₁₉×#3496	1	1	yes	characteristic
1131	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
1132	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#3547	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3550	C₂	semidirect
3. C₁₉×#3356	C₂	semidirect
4. C₁₉×#3349	C₂	semidirect
5. C₁₉×#3340	C₂	semidirect
6. C₁₉×#3329	C₂	semidirect
7. C₁₉×#3328	C₂	semidirect
8. C₁₉×#3313	C₂	semidirect
9. C₁₉×#3312	C₂	semidirect
10. C₁₉×#3302	C₂	semidirect
11. C₁₉×#3299	C₂	semidirect
12. D₄×Q₁₆×C₁₉	C₂	semidirect
13. C₁₉×#3276	C₂	semidirect
14. C₁₉×#3270	C₂	semidirect
15. C₁₉×#3249	C₂	semidirect
16. C₁₉×#3248	C₂	semidirect
17. C₁₉×#3202	C₂	semidirect
18. C₁₉×#3201	C₂	semidirect
19. C₁₉×#3185	C₂	semidirect
20. C₁₉×#3172	C₂	semidirect
21. C₁₉×#3063	C₂	semidirect
22. C₁₉×#3059	C₂	semidirect
23. C₁₉×#2935	C₂	semidirect
455. #62350	C₁₉	direct (N × H)
527. #3550	C₂×C₁₉	semidirect
529. #3356	C₂×C₁₉	semidirect
530. #3349	C₂×C₁₉	semidirect
531. #3340	C₂×C₁₉	semidirect
532. #3329	C₂×C₁₉	semidirect
533. #3328	C₂×C₁₉	semidirect
534. #3313	C₂×C₁₉	semidirect
535. #3312	C₂×C₁₉	semidirect
536. #3302	C₂×C₁₉	semidirect
537. #3299	C₂×C₁₉	semidirect
538. D₄×Q₁₆	C₂×C₁₉	semidirect
539. #3276	C₂×C₁₉	semidirect
540. #3270	C₂×C₁₉	semidirect
541. #3249	C₂×C₁₉	semidirect
542. #3248	C₂×C₁₉	semidirect
543. #3202	C₂×C₁₉	semidirect
544. #3201	C₂×C₁₉	semidirect
545. #3185	C₂×C₁₉	semidirect
546. #3172	C₂×C₁₉	semidirect
547. #3063	C₂×C₁₉	semidirect
548. #3059	C₂×C₁₉	semidirect
549. #2935	C₂×C₁₉	semidirect
881. C₁₉	#62350	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×#3550	2
C₁₉×#3547	2
C₁₉×#3356	2
C₁₉×#3349	2
C₁₉×#3340	2
C₁₉×#3329	2
C₁₉×#3328	2
C₁₉×#3313	2
C₁₉×#3312	2
C₁₉×#3302	2
C₁₉×#3299	2
D₄×Q₁₆×C₁₉	2
C₁₉×#3276	2
C₁₉×#3270	2
C₁₉×#3249	2
C₁₉×#3248	2
C₁₉×#3202	2
C₁₉×#3201	2
C₁₉×#3185	2
C₁₉×#3172	2
C₁₉×#3063	2
C₁₉×#3059	2
C₁₉×#2935	2
#62350	19

Subgroups — C19×#62350 #18068309

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62350 #18068309