Subgroups — C₁₉×#62058 #18068017

Order 4864.

1818 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3552	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×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3369	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3308	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3298	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3285	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3270	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3258	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3225	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3206	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3120	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3108	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3046	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₉×#462	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂×C₁₉×#135	C₂²	1	2	yes	—
26	C₂²×Q₁₆×C₁₉	C₂²	1	2	yes	—
27	C₁₉×#563	—	2	2	no	—
28	C₁₉×#559	—	2	1	no	—
29	C₁₉×#559	C₂²	1	1	yes	characteristic
30	Q₈²×C₁₉	C₂²	1	1	yes	characteristic
31	C₁₉×#557	C₂²	1	1	yes	characteristic
32	C₁₉×#556	C₂²	1	1	yes	characteristic
33	C₁₉×#554	—	2	1	no	—
34	C₁₉×#554	—	2	1	no	—
35	C₁₉×#554	C₂²	1	1	yes	characteristic
36	C₁₉×#553	—	2	1	no	—
37	C₁₉×#550	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
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	1	yes	characteristic
44	C₁₉×#547	C₂²	1	2	yes	—
45	C₁₉×#544	—	2	1	no	—
46	C₁₉×#542	—	2	2	no	—
47	C₁₉×#542	—	2	1	no	—
48	C₁₉×#542	C₂²	1	2	yes	—
49	C₁₉×#541	C₂²	1	2	yes	—
50	C₁₉×#539	—	2	2	no	—
51	C₁₉×#536	C₂²	1	2	yes	—
52	C₁₉×#532	—	2	1	no	—
53	C₁₉×#532	C₂²	1	1	yes	characteristic
54	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₁₉×#529	—	2	1	no	—
56	C₁₉×#529	C₂²	1	1	yes	characteristic
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×#492	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	1	yes	characteristic
67	C₁₉×#487	C₂²	1	2	yes	—
68	C₁₉×#484	C₂²	1	2	yes	—
69	C₁₉×#483	C₂²	1	1	yes	characteristic
70	C₁₉×#483	C₂²	1	2	yes	—
71	C₁₉×#480	C₂²	1	1	yes	characteristic
72	C₁₉×#479	C₂²	1	1	yes	characteristic
73	C₁₉×#479	C₂²	1	1	yes	characteristic
74	C₁₉×#478	C₂²	1	2	yes	—
75	C₁₉×#477	C₂²	1	1	yes	characteristic
76	C₁₉×#477	C₂²	1	2	yes	—
77	C₁₉×#476	C₂²	1	1	yes	characteristic
78	C₁₉×#475	C₂²	1	2	yes	—
79	C₁₉×#470	C₂²	1	2	yes	—
80	C₁₉×#468	C₂²	1	2	yes	—
81	C₁₉×#467	C₂²	1	2	yes	—
82	C₁₉×#466	C₂²	1	2	yes	—
83	C₁₉×#465	C₂²	1	2	yes	—
84	C₁₉×#465	C₂²	1	2	yes	—
85	C₁₉×#464	C₂²	1	1	yes	characteristic
86	C₁₉×#464	C₂²	1	2	yes	—
87	C₁₉×#464	C₂²	1	2	yes	—
88	C₁₉×#464	C₂²	1	2	yes	—
89	C₁₉×#464	C₂²	1	1	yes	characteristic
90	C₁₉×#463	C₂²	1	2	yes	—
91	C₁₉×#463	C₂²	1	2	yes	—
92	C₁₉×#462	C₂²	1	2	yes	—
93	C₁₉×#462	C₂²	1	2	yes	—
94	C₁₉×#462	C₂²	1	1	yes	characteristic
95	C₁₉×#462	C₂²	1	1	yes	characteristic
96	C₁₉×#462	C₂²	1	1	yes	characteristic
97	C₁₉×#462	C₂²	1	2	yes	—
98	C₁₉×#462	C₂²	1	1	yes	characteristic
99	C₁₉×#461	C₂²	1	2	yes	—
100	C₁₉×#461	C₂²	1	2	yes	—
101	C₁₉×#461	C₂²	1	2	yes	—
102	C₁₉×#460	C₂²	1	1	yes	characteristic
103	C₁₉×#459	C₂²	1	1	yes	characteristic
104	C₁₉×#452	C₂²	1	2	yes	—
105	C₁₉×#452	C₂²	1	2	yes	—
106	C₁₉×#452	C₂²	1	2	yes	—
107	C₁₉×#451	C₂²	1	2	yes	—
108	C₁₉×#451	C₂²	1	1	yes	characteristic
109	C₁₉×#449	C₂²	1	2	yes	—
110	C₁₉×#448	C₂²	1	2	yes	—
111	C₁₉×#448	C₂²	1	2	yes	—
112	C₁₉×#448	C₂²	1	2	yes	—
113	C₁₉×#448	C₂²	1	1	yes	characteristic
114	C₁₉×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic
116	C₁₉×#441	C₂²	1	2	yes	—
117	C₁₉×#440	C₂²	1	2	yes	—
118	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
120	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
121	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
122	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
123	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
124	C₁₉×#436	C₂²	1	1	yes	characteristic
125	C₁₉×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
127	C₈×D₄×C₁₉	C₂²	1	2	yes	—
128	C₁₉×#433	C₂²	1	2	yes	—
129	C₁₉×#431	C₂²	1	1	yes	characteristic
130	C₁₉×#424	C₂²	1	2	yes	—
131	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	C₁₉×#417	C₂²	1	2	yes	—
133	C₂×C₁₉×#103	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	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
141	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
142	C₁₉×#137	—	4	4	no	—
143	C₁₉×#135	—	4	4	no	—
144	C₂×Q₁₆×C₁₉	—	4	4	no	—
145	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
149	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
155	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
156	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	2	yes	—
159	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
160	C₂²×C₈×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	—	2	2	no	—
166	C₁₉×C₄⋊Q₈	—	2	1	no	—
167	C₁₉×C₄⋊Q₈	—	2	1	no	—
168	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₉×#127	—	2	1	no	—
175	C₁₉×#127	C₂³	1	1	yes	characteristic
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×#126	D₄	1	2	yes	—
182	C₁₉×#125	—	2	1	no	—
183	C₁₉×#125	—	2	2	no	—
184	C₁₉×#125	—	2	2	no	—
185	C₁₉×#125	—	2	2	no	—
186	C₁₉×#125	—	2	1	no	—
187	C₁₉×#125	D₄	1	1	yes	characteristic
188	C₁₉×#125	C₂³	1	1	yes	characteristic
189	C₁₉×#124	—	2	1	no	—
190	C₁₉×#124	—	2	2	no	—
191	C₁₉×#124	—	2	2	no	—
192	C₁₉×#124	—	2	2	no	—
193	C₁₉×#124	—	2	1	no	—
194	C₁₉×#124	D₄	1	1	yes	characteristic
195	C₁₉×#124	C₂³	1	1	yes	characteristic
196	C₁₉×#124	C₂³	1	2	yes	—
197	C₁₉×#124	C₂³	1	2	yes	—
198	C₁₉×#123	—	2	1	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	2	no	—
205	C₁₉×#123	—	2	2	no	—
206	C₁₉×#123	D₄	1	2	yes	—
207	C₁₉×C₂²⋊Q₈	—	2	1	no	—
208	C₁₉×C₂²⋊Q₈	—	2	2	no	—
209	C₁₉×C₂²⋊Q₈	—	2	2	no	—
210	C₁₉×C₂²⋊Q₈	—	2	2	no	—
211	C₁₉×C₂²⋊Q₈	—	2	2	no	—
212	C₁₉×C₂²⋊Q₈	—	2	2	no	—
213	C₁₉×C₂²⋊Q₈	—	2	2	no	—
214	C₁₉×C₂²⋊Q₈	—	2	2	no	—
215	C₁₉×C₂²⋊Q₈	—	2	2	no	—
216	C₁₉×C₂²⋊Q₈	—	2	2	no	—
217	C₁₉×C₂²⋊Q₈	—	2	2	no	—
218	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
219	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	—	2	2	no	—
225	C₁₉×#121	—	2	1	no	—
226	C₁₉×#121	—	2	1	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	D₄	1	1	yes	characteristic
229	C₁₉×#121	C₂³	1	2	yes	—
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#121	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	2	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	2	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	1	no	—
256	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₉	C₂³	1	2	yes	—
258	C₄×D₄×C₁₉	C₂³	1	2	yes	—
259	C₄×D₄×C₁₉	C₂³	1	2	yes	—
260	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₁₉×#117	—	2	2	no	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	C₂³	1	2	yes	—
265	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
266	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
269	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
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	2	yes	—
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#106	C₂³	1	1	yes	characteristic
278	C₁₉×#106	C₂³	1	1	yes	characteristic
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	2	yes	—
288	C₁₉×#103	C₂³	1	1	yes	characteristic
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	2	yes	—
294	C₁₉×#103	C₂³	1	2	yes	—
295	C₁₉×#103	C₂³	1	1	yes	characteristic
296	C₁₉×#103	C₂³	1	1	yes	characteristic
297	C₁₉×#103	C₂³	1	1	yes	characteristic
298	C₁₉×#103	C₂³	1	1	yes	characteristic
299	C₁₉×#103	C₂³	1	2	yes	—
300	C₁₉×#103	C₂³	1	1	yes	characteristic
301	C₁₉×#103	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	1	yes	characteristic
303	C₁₉×#102	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	1	yes	characteristic
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	—	8	2	no	—
320	#41×C₁₉	—	8	4	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	—	2	1	no	—
326	C₂×Q₈×C₁₉	—	2	2	no	—
327	C₂×Q₈×C₁₉	—	4	1	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	—	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	2	yes	—
337	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₁₉	—	2	1	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	1	no	—
344	C₂×D₄×C₁₉	—	2	1	no	—
345	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
346	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
348	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₉	—	2	1	no	—
350	C₂²×C₄×C₁₉	—	2	1	no	—
351	C₂²×C₄×C₁₉	—	2	2	no	—
352	C₂²×C₄×C₁₉	—	2	2	no	—
353	C₂²×C₄×C₁₉	—	2	2	no	—
354	C₂²×C₄×C₁₉	—	2	1	no	—
355	C₂²×C₄×C₁₉	—	2	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	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
363	Q₁₆×C₁₉	—	2	4	no	—
364	Q₁₆×C₁₉	—	2	4	no	—
365	Q₁₆×C₁₉	—	2	2	no	—
366	Q₁₆×C₁₉	—	4	2	no	—
367	Q₁₆×C₁₉	—	4	2	no	—
368	Q₁₆×C₁₉	—	4	1	no	—
369	SD₁₆×C₁₉	—	2	2	no	—
370	SD₁₆×C₁₉	—	4	2	no	—
371	SD₁₆×C₁₉	—	4	1	no	—
372	SD₁₆×C₁₉	—	4	2	no	—
373	SD₁₆×C₁₉	—	4	2	no	—
374	SD₁₆×C₁₉	—	4	2	no	—
375	SD₁₆×C₁₉	—	4	2	no	—
376	D₈×C₁₉	—	4	2	no	—
377	M₁₆×C₁₉	—	4	2	no	—
378	C₂×C₈×C₁₉	—	4	2	no	—
379	C₂×C₈×C₁₉	—	4	2	no	—
380	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
386	C₄⋊C₄×C₁₉	—	2	1	no	—
387	C₄⋊C₄×C₁₉	—	2	1	no	—
388	C₄⋊C₄×C₁₉	—	2	2	no	—
389	C₄⋊C₄×C₁₉	—	2	1	no	—
390	C₄⋊C₄×C₁₉	—	2	2	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	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	2	no	—
404	C₄⋊C₄×C₁₉	—	2	2	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	2	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	1	yes	characteristic
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	2	yes	—
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	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	1	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	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	1	no	—
436	C₂²⋊C₄×C₁₉	—	2	2	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	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	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	2	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	#62058	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
458	C₂³×C₁₉	—	2	1	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	2	no	—
466	Q₈×C₁₉	—	2	2	no	—
467	Q₈×C₁₉	—	2	1	no	—
468	Q₈×C₁₉	—	2	1	no	—
469	Q₈×C₁₉	—	2	2	no	—
470	Q₈×C₁₉	—	2	2	no	—
471	Q₈×C₁₉	—	2	1	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	8	2	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	4	no	—
479	D₄×C₁₉	—	2	2	no	—
480	D₄×C₁₉	—	2	1	no	—
481	D₄×C₁₉	—	2	2	no	—
482	D₄×C₁₉	—	2	2	no	—
483	D₄×C₁₉	—	2	1	no	—
484	D₄×C₁₉	—	4	4	no	—
485	D₄×C₁₉	—	4	2	no	—
486	D₄×C₁₉	—	4	4	no	—
487	D₄×C₁₉	—	4	2	no	—
488	D₄×C₁₉	—	8	1	no	—
489	D₄×C₁₉	—	8	2	no	—
490	D₄×C₁₉	—	8	2	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	1	no	—
495	C₂×C₄×C₁₉	—	2	2	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	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	2	no	—
505	C₂×C₄×C₁₉	—	2	2	no	—
506	C₂×C₄×C₁₉	—	2	2	no	—
507	C₂×C₄×C₁₉	—	4	4	no	—
508	C₂×C₄×C₁₉	—	4	2	no	—
509	C₂×C₄×C₁₉	—	4	2	no	—
510	C₂×C₄×C₁₉	—	4	2	no	—
511	C₂×C₄×C₁₉	—	8	2	no	—
512	C₂×C₄×C₁₉	—	8	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	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
522	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
526	C₈×C₁₉	—	2	2	no	—
527	C₈×C₁₉	—	2	1	no	—
528	C₈×C₁₉	—	2	2	no	—
529	C₈×C₁₉	—	2	1	no	—
530	C₈×C₁₉	—	2	1	no	—
531	C₈×C₁₉	—	2	1	no	—
532	#3552	C₂×C₁₉	1	1	yes	characteristic, complemented
533	#3522	C₂×C₁₉	1	1	yes	characteristic, complemented
534	#3400	C₂×C₁₉	1	1	yes	characteristic, complemented
535	#3394	C₂×C₁₉	1	1	yes	characteristic, complemented
536	#3369	C₂×C₁₉	1	1	yes	characteristic, complemented
537	#3363	C₂×C₁₉	1	1	yes	characteristic, complemented
538	#3331	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3308	C₂×C₁₉	1	2	yes	complemented
540	#3299	C₂×C₁₉	1	1	yes	characteristic, complemented
541	#3298	C₂×C₁₉	1	2	yes	complemented
542	#3285	C₂×C₁₉	1	2	yes	complemented
543	#3284	C₂×C₁₉	1	1	yes	characteristic, complemented
544	#3278	C₂×C₁₉	1	1	yes	characteristic, complemented
545	#3270	C₂×C₁₉	1	2	yes	complemented
546	#3258	C₂×C₁₉	1	2	yes	complemented
547	#3247	C₂×C₁₉	1	1	yes	characteristic, complemented
548	#3225	C₂×C₁₉	1	2	yes	complemented
549	#3206	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#3120	C₂×C₁₉	1	2	yes	complemented
551	#3108	C₂×C₁₉	1	1	yes	characteristic, complemented
552	#3046	C₂×C₁₉	1	2	yes	complemented
553	C₂×#462	C₂×C₁₉	1	1	yes	characteristic, complemented
554	#2994	C₂×C₁₉	1	1	yes	characteristic, complemented
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	—	2	2	no	—
560	C₂²×C₁₉	—	4	2	no	—
561	C₂²×C₁₉	—	4	1	no	—
562	C₂²×C₁₉	—	4	2	no	—
563	C₂²×C₁₉	—	4	1	no	—
564	C₂²×C₁₉	—	4	1	no	—
565	C₂²×C₁₉	—	4	2	no	—
566	C₂²×C₁₉	#577	1	2	yes	—
567	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
568	C₄×C₁₉	—	2	2	no	—
569	C₄×C₁₉	—	2	1	no	—
570	C₄×C₁₉	—	2	2	no	—
571	C₄×C₁₉	—	2	1	no	—
572	C₄×C₁₉	—	2	1	no	—
573	C₄×C₁₉	—	2	2	no	—
574	C₄×C₁₉	—	2	1	no	—
575	C₄×C₁₉	—	2	2	no	—
576	C₄×C₁₉	—	4	1	no	—
577	C₄×C₁₉	—	4	2	no	—
578	C₄×C₁₉	—	4	1	no	—
579	C₄×C₁₉	—	4	2	no	—
580	C₄×C₁₉	—	4	1	no	—
581	C₄×C₁₉	—	4	1	no	—
582	C₄×C₁₉	—	4	2	no	—
583	C₄×C₁₉	—	4	1	no	—
584	C₄×C₁₉	—	4	1	no	—
585	C₄×C₁₉	#578	1	2	yes	—
586	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
587	C₄×C₁₉	#585	1	1	yes	characteristic
588	C₂×#137	C₂²×C₁₉	1	2	yes	—
589	C₂×#135	C₂²×C₁₉	1	2	yes	—
590	C₂²×Q₁₆	C₂²×C₁₉	1	2	yes	—
591	#563	—	2	2	no	—
592	#559	—	2	1	no	—
593	#559	C₂²×C₁₉	1	1	yes	characteristic
594	Q₈²	C₂²×C₁₉	1	1	yes	characteristic
595	#557	C₂²×C₁₉	1	1	yes	characteristic
596	#556	C₂²×C₁₉	1	1	yes	characteristic
597	#554	—	2	1	no	—
598	#554	—	2	1	no	—
599	#554	C₂²×C₁₉	1	1	yes	characteristic
600	#553	—	2	1	no	—
601	#550	C₂²×C₁₉	1	1	yes	characteristic
602	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
603	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
604	#548	C₂²×C₁₉	1	2	yes	—
605	#548	C₂²×C₁₉	1	2	yes	—
606	#547	—	2	2	no	—
607	#547	C₂²×C₁₉	1	1	yes	characteristic
608	#547	C₂²×C₁₉	1	2	yes	—
609	#544	—	2	1	no	—
610	#542	—	2	2	no	—
611	#542	—	2	1	no	—
612	#542	C₂²×C₁₉	1	2	yes	—
613	#541	C₂²×C₁₉	1	2	yes	—
614	#539	—	2	2	no	—
615	#536	C₂²×C₁₉	1	2	yes	—
616	#532	—	2	1	no	—
617	#532	C₂²×C₁₉	1	1	yes	characteristic
618	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
619	#529	—	2	1	no	—
620	#529	C₂²×C₁₉	1	1	yes	characteristic
621	#529	C₂²×C₁₉	1	1	yes	characteristic
622	#520	C₂²×C₁₉	1	2	yes	—
623	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
624	#497	C₂²×C₁₉	1	2	yes	—
625	#495	C₂²×C₁₉	1	2	yes	—
626	#492	C₂²×C₁₉	1	1	yes	characteristic
627	#492	C₂²×C₁₉	1	1	yes	characteristic
628	#489	C₂²×C₁₉	1	2	yes	—
629	#487	C₂²×C₁₉	1	1	yes	characteristic
630	#487	C₂²×C₁₉	1	2	yes	—
631	#487	C₂²×C₁₉	1	1	yes	characteristic
632	#484	C₂²×C₁₉	1	2	yes	—
633	#483	C₂²×C₁₉	1	2	yes	—
634	#483	C₂²×C₁₉	1	1	yes	characteristic
635	#480	C₂²×C₁₉	1	1	yes	characteristic
636	#479	C₂²×C₁₉	1	1	yes	characteristic
637	#479	C₂²×C₁₉	1	1	yes	characteristic
638	#478	C₂²×C₁₉	1	2	yes	—
639	#477	C₂²×C₁₉	1	1	yes	characteristic
640	#477	C₂²×C₁₉	1	2	yes	—
641	#476	C₂²×C₁₉	1	1	yes	characteristic
642	#475	C₂²×C₁₉	1	2	yes	—
643	#470	C₂²×C₁₉	1	2	yes	—
644	#468	C₂²×C₁₉	1	2	yes	—
645	#467	C₂²×C₁₉	1	2	yes	—
646	#466	C₂²×C₁₉	1	2	yes	—
647	#465	C₂²×C₁₉	1	2	yes	—
648	#465	C₂²×C₁₉	1	2	yes	—
649	#464	C₂²×C₁₉	1	1	yes	characteristic
650	#464	C₂²×C₁₉	1	1	yes	characteristic
651	#464	C₂²×C₁₉	1	2	yes	—
652	#464	C₂²×C₁₉	1	2	yes	—
653	#464	C₂²×C₁₉	1	2	yes	—
654	#463	C₂²×C₁₉	1	2	yes	—
655	#463	C₂²×C₁₉	1	2	yes	—
656	#462	C₂²×C₁₉	1	1	yes	characteristic
657	#462	C₂²×C₁₉	1	2	yes	—
658	#462	C₂²×C₁₉	1	1	yes	characteristic
659	#462	C₂²×C₁₉	1	1	yes	characteristic
660	#462	C₂²×C₁₉	1	2	yes	—
661	#462	C₂²×C₁₉	1	1	yes	characteristic
662	#462	C₂²×C₁₉	1	2	yes	—
663	#461	C₂²×C₁₉	1	2	yes	—
664	#461	C₂²×C₁₉	1	2	yes	—
665	#461	C₂²×C₁₉	1	2	yes	—
666	#460	C₂²×C₁₉	1	1	yes	characteristic
667	#459	C₂²×C₁₉	1	1	yes	characteristic
668	#452	C₂²×C₁₉	1	2	yes	—
669	#452	C₂²×C₁₉	1	2	yes	—
670	#452	C₂²×C₁₉	1	2	yes	—
671	#451	C₂²×C₁₉	1	1	yes	characteristic
672	#451	C₂²×C₁₉	1	2	yes	—
673	#449	C₂²×C₁₉	1	2	yes	—
674	#448	C₂²×C₁₉	1	1	yes	characteristic
675	#448	C₂²×C₁₉	1	2	yes	—
676	#448	C₂²×C₁₉	1	2	yes	—
677	#448	C₂²×C₁₉	1	2	yes	—
678	#446	C₂²×C₁₉	1	1	yes	characteristic
679	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
680	#441	C₂²×C₁₉	1	2	yes	—
681	#440	C₂²×C₁₉	1	2	yes	—
682	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
683	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
684	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
685	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
686	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
687	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
688	#436	C₂²×C₁₉	1	1	yes	characteristic
689	#435	C₂²×C₁₉	1	2	yes	—
690	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
691	C₈×D₄	C₂²×C₁₉	1	2	yes	—
692	#433	C₂²×C₁₉	1	2	yes	—
693	#431	C₂²×C₁₉	1	1	yes	characteristic
694	#424	C₂²×C₁₉	1	2	yes	—
695	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
696	#417	C₂²×C₁₉	1	2	yes	—
697	C₂×#103	C₂²×C₁₉	1	2	yes	—
698	C₂×#103	C₂²×C₁₉	1	2	yes	—
699	C₂×C₁₉	—	2	2	no	—
700	C₂×C₁₉	—	4	2	no	—
701	C₂×C₁₉	—	8	2	no	—
702	C₂×C₁₉	—	8	1	no	—
703	C₂×C₁₉	#3488	1	1	yes	characteristic
704	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
705	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
706	C₂×#41	—	2	2	no	—
707	C₂×#41	—	2	1	no	—
708	C₂×#41	C₂³×C₁₉	1	2	yes	—
709	C₂×#41	C₂³×C₁₉	1	2	yes	—
710	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
711	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
712	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
713	#137	—	4	4	no	—
714	#135	—	4	4	no	—
715	C₂×Q₁₆	—	4	4	no	—
716	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
717	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
718	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
719	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
721	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
722	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
723	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
725	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
728	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
729	C₂×D₈	C₂³×C₁₉	1	2	yes	—
730	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
731	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
732	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	—	2	2	no	—
735	C₄⋊Q₈	—	2	1	no	—
736	C₄⋊Q₈	—	2	2	no	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
740	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
742	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
743	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
744	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
745	#127	—	2	1	no	—
746	#127	C₂³×C₁₉	1	1	yes	characteristic
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	1	no	—
752	#126	D₄×C₁₉	1	2	yes	—
753	#125	—	2	1	no	—
754	#125	—	2	2	no	—
755	#125	—	2	2	no	—
756	#125	—	2	2	no	—
757	#125	—	2	1	no	—
758	#125	D₄×C₁₉	1	1	yes	characteristic
759	#125	C₂³×C₁₉	1	1	yes	characteristic
760	#124	—	2	1	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	1	no	—
765	#124	D₄×C₁₉	1	1	yes	characteristic
766	#124	C₂³×C₁₉	1	1	yes	characteristic
767	#124	C₂³×C₁₉	1	2	yes	—
768	#124	C₂³×C₁₉	1	2	yes	—
769	#123	—	2	1	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	D₄×C₁₉	1	2	yes	—
778	C₂²⋊Q₈	—	2	1	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	—	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	2	yes	—
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	1	no	—
797	#121	—	2	1	no	—
798	#121	—	2	2	no	—
799	#121	D₄×C₁₉	1	1	yes	characteristic
800	#121	C₂³×C₁₉	1	1	yes	characteristic
801	#121	C₂³×C₁₉	1	2	yes	—
802	#121	C₂³×C₁₉	1	2	yes	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	—	2	1	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
808	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
813	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
814	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
815	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	C₂³×C₁₉	1	2	yes	—
828	C₄×D₄	C₂³×C₁₉	1	2	yes	—
829	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₉	1	2	yes	—
831	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
832	#117	—	2	2	no	—
833	#117	—	2	1	no	—
834	#117	—	2	1	no	—
835	#117	C₂³×C₁₉	1	2	yes	—
836	C₂×C₄⋊C₄	—	2	1	no	—
837	C₂×C₄⋊C₄	—	2	1	no	—
838	C₂×C₄⋊C₄	—	2	1	no	—
839	C₂×C₄⋊C₄	—	2	2	no	—
840	C₂×C₄⋊C₄	—	2	1	no	—
841	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
843	C₂×C₄²	—	2	1	no	—
844	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
845	#107	C₂³×C₁₉	1	1	yes	characteristic
846	#107	C₂³×C₁₉	1	2	yes	—
847	#107	C₂³×C₁₉	1	1	yes	characteristic
848	#106	C₂³×C₁₉	1	1	yes	characteristic
849	#106	C₂³×C₁₉	1	1	yes	characteristic
850	#106	C₂³×C₁₉	1	2	yes	—
851	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
852	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
855	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
857	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
858	#103	C₂³×C₁₉	1	2	yes	—
859	#103	C₂³×C₁₉	1	1	yes	characteristic
860	#103	C₂³×C₁₉	1	2	yes	—
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	2	yes	—
866	#103	C₂³×C₁₉	1	1	yes	characteristic
867	#103	C₂³×C₁₉	1	1	yes	characteristic
868	#103	C₂³×C₁₉	1	1	yes	characteristic
869	#103	C₂³×C₁₉	1	1	yes	characteristic
870	#103	C₂³×C₁₉	1	2	yes	—
871	#103	C₂³×C₁₉	1	1	yes	characteristic
872	#103	C₂³×C₁₉	1	2	yes	—
873	#102	C₂³×C₁₉	1	1	yes	characteristic
874	#102	C₂³×C₁₉	1	2	yes	—
875	#102	C₂³×C₁₉	1	1	yes	characteristic
876	#102	C₂³×C₁₉	1	2	yes	—
877	#102	C₂³×C₁₉	1	2	yes	—
878	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
879	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
880	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
882	#97	C₂³×C₁₉	1	2	yes	—
883	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
884	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
885	C₄×C₈	C₂³×C₁₉	1	2	yes	—
886	C₁₉	#62058	1	1	yes	characteristic, direct product factor, Sylow
887	#41	—	2	4	no	—
888	#41	—	4	2	no	—
889	#41	—	4	2	no	—
890	#41	—	4	2	no	—
891	#41	—	8	2	no	—
892	#41	—	8	4	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	—	2	2	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	1	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	—	4	1	no	—
900	C₂×Q₈	—	4	2	no	—
901	C₂×Q₈	—	4	2	no	—
902	C₂×Q₈	—	4	2	no	—
903	C₂×Q₈	—	4	2	no	—
904	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
905	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
906	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
907	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
908	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
918	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
919	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
920	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
932	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
935	Q₁₆	—	2	4	no	—
936	Q₁₆	—	2	4	no	—
937	Q₁₆	—	2	2	no	—
938	Q₁₆	—	4	2	no	—
939	Q₁₆	—	4	2	no	—
940	Q₁₆	—	4	1	no	—
941	SD₁₆	—	2	2	no	—
942	SD₁₆	—	4	2	no	—
943	SD₁₆	—	4	1	no	—
944	SD₁₆	—	4	2	no	—
945	SD₁₆	—	4	2	no	—
946	SD₁₆	—	4	2	no	—
947	SD₁₆	—	4	2	no	—
948	D₈	—	4	2	no	—
949	M₁₆	—	4	2	no	—
950	C₂×C₈	—	4	2	no	—
951	C₂×C₈	—	4	2	no	—
952	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
953	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
954	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
955	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
957	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	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	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
985	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
986	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
988	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
989	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
991	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
992	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
994	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
995	C₂²⋊C₄	—	2	1	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	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1012	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1013	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1025	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1026	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1027	C₄²	C₂⁴×C₁₉	1	2	yes	—
1028	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1032	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	2	2	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	4	2	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	2	no	—
1046	Q₈	—	8	1	no	—
1047	Q₈	—	8	2	no	—
1048	Q₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1049	D₄	—	2	4	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	4	4	no	—
1056	D₄	—	4	4	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	8	1	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1089	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1090	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1091	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1093	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1094	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1096	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1097	C₈	—	2	2	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	1	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	C₁₉×#577	1	2	yes	—
1115	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1116	C₄	—	2	2	no	—
1117	C₄	—	2	1	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	2	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	2	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	C₁₉×#578	1	2	yes	—
1134	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1135	C₄	C₁₉×#585	1	1	yes	characteristic
1136	C₂	—	2	2	no	—
1137	C₂	—	4	2	no	—
1138	C₂	—	8	2	no	—
1139	C₂	—	8	1	no	—
1140	C₂	C₁₉×#3488	1	1	yes	characteristic
1141	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1142	C₂	C₂×C₁₉×#578	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×#3552	C₂	semidirect
2. C₁₉×#3522	C₂	semidirect
3. C₁₉×#3400	C₂	semidirect
4. C₁₉×#3394	C₂	semidirect
5. C₁₉×#3369	C₂	semidirect
6. C₁₉×#3363	C₂	semidirect
7. C₁₉×#3331	C₂	semidirect
8. C₁₉×#3308	C₂	semidirect
9. C₁₉×#3299	C₂	semidirect
10. C₁₉×#3298	C₂	semidirect
11. C₁₉×#3285	C₂	semidirect
12. C₁₉×#3284	C₂	semidirect
13. C₁₉×#3278	C₂	semidirect
14. C₁₉×#3270	C₂	semidirect
15. C₁₉×#3258	C₂	semidirect
16. C₁₉×#3247	C₂	semidirect
17. C₁₉×#3225	C₂	semidirect
18. C₁₉×#3206	C₂	semidirect
19. C₁₉×#3120	C₂	semidirect
20. C₁₉×#3108	C₂	semidirect
21. C₁₉×#3046	C₂	semidirect
22. C₂×C₁₉×#462	C₂	semidirect
23. C₁₉×#2994	C₂	semidirect
457. #62058	C₁₉	direct (N × H)
532. #3552	C₂×C₁₉	semidirect
533. #3522	C₂×C₁₉	semidirect
534. #3400	C₂×C₁₉	semidirect
535. #3394	C₂×C₁₉	semidirect
536. #3369	C₂×C₁₉	semidirect
537. #3363	C₂×C₁₉	semidirect
538. #3331	C₂×C₁₉	semidirect
539. #3308	C₂×C₁₉	semidirect
540. #3299	C₂×C₁₉	semidirect
541. #3298	C₂×C₁₉	semidirect
542. #3285	C₂×C₁₉	semidirect
543. #3284	C₂×C₁₉	semidirect
544. #3278	C₂×C₁₉	semidirect
545. #3270	C₂×C₁₉	semidirect
546. #3258	C₂×C₁₉	semidirect
547. #3247	C₂×C₁₉	semidirect
548. #3225	C₂×C₁₉	semidirect
549. #3206	C₂×C₁₉	semidirect
550. #3120	C₂×C₁₉	semidirect
551. #3108	C₂×C₁₉	semidirect
552. #3046	C₂×C₁₉	semidirect
553. C₂×#462	C₂×C₁₉	semidirect
554. #2994	C₂×C₁₉	semidirect
886. C₁₉	#62058	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×#3552	2
C₁₉×#3522	2
C₁₉×#3400	2
C₁₉×#3394	2
C₁₉×#3369	2
C₁₉×#3363	2
C₁₉×#3331	2
C₁₉×#3308	2
C₁₉×#3299	2
C₁₉×#3298	2
C₁₉×#3285	2
C₁₉×#3284	2
C₁₉×#3278	2
C₁₉×#3270	2
C₁₉×#3258	2
C₁₉×#3247	2
C₁₉×#3225	2
C₁₉×#3206	2
C₁₉×#3120	2
C₁₉×#3108	2
C₁₉×#3046	2
C₂×C₁₉×#462	2
C₁₉×#2994	2
#62058	19

Subgroups — C19×#62058 #18068017

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62058 #18068017