Subgroups — C₁₉×#62281 #18068240

Order 4864.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3536	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3344	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3343	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3300	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3299	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3298	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3296	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3258	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3201	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3195	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3193	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3178	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3063	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₉×#467	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₉×#465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#2929	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×#137	C₂²	1	2	yes	complemented
21	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
25	C₁₉×#563	—	2	2	no	—
26	C₁₉×#562	—	2	2	no	—
27	C₁₉×#554	C₂²	1	2	yes	—
28	C₁₉×#552	C₂²	1	2	yes	—
29	C₁₉×#552	C₂²	1	2	yes	complemented
30	C₁₉×#551	—	2	2	no	—
31	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
32	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
33	C₁₉×#548	C₂²	1	2	yes	—
34	C₁₉×#547	C₂²	1	2	yes	—
35	C₁₉×#546	—	2	2	no	—
36	C₁₉×#546	C₂²	1	2	yes	—
37	C₁₉×#544	—	2	1	no	—
38	C₁₉×#544	—	2	1	no	—
39	C₁₉×#543	—	2	1	no	—
40	C₁₉×#542	C₂²	1	2	yes	—
41	C₁₉×#541	C₂²	1	2	yes	complemented
42	C₁₉×#539	—	2	1	no	—
43	C₁₉×#539	—	2	1	no	—
44	C₁₉×#539	—	2	1	no	—
45	C₁₉×#538	—	2	1	no	—
46	C₁₉×#537	—	2	1	no	—
47	C₁₉×#537	C₂²	1	2	yes	—
48	C₁₉×#536	C₂²	1	2	yes	complemented
49	C₁₉×#525	C₂²	1	1	yes	characteristic
50	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
54	C₁₉×#501	C₂²	1	2	yes	complemented
55	C₁₉×#497	C₂²	1	2	yes	complemented
56	C₁₉×#488	C₂²	1	2	yes	complemented
57	C₁₉×#487	C₂²	1	2	yes	complemented
58	C₁₉×#485	C₂²	1	2	yes	complemented
59	C₁₉×#484	C₂²	1	2	yes	—
60	C₁₉×#484	C₂²	1	2	yes	complemented
61	C₁₉×#483	C₂²	1	2	yes	—
62	C₁₉×#483	C₂²	1	2	yes	complemented
63	C₁₉×#483	C₂²	1	2	yes	complemented
64	C₁₉×#482	C₂²	1	2	yes	complemented
65	C₁₉×#480	C₂²	1	2	yes	—
66	C₁₉×#479	C₂²	1	2	yes	complemented
67	C₁₉×#478	C₂²	1	2	yes	complemented
68	C₁₉×#477	C₂²	1	2	yes	complemented
69	C₁₉×#475	C₂²	1	2	yes	complemented
70	C₁₉×#470	C₂²	1	2	yes	complemented
71	C₁₉×#470	C₂²	1	2	yes	complemented
72	C₁₉×#470	C₂²	1	2	yes	complemented
73	C₁₉×#468	C₂²	1	2	yes	—
74	C₁₉×#468	C₂²	1	2	yes	—
75	C₁₉×#468	C₂²	1	2	yes	complemented
76	C₁₉×#467	C₂²	1	2	yes	—
77	C₁₉×#467	C₂²	1	2	yes	—
78	C₁₉×#467	C₂²	1	2	yes	complemented
79	C₁₉×#467	C₂²	1	2	yes	complemented
80	C₁₉×#467	C₂²	1	2	yes	complemented
81	C₁₉×#465	C₂²	1	2	yes	—
82	C₁₉×#465	C₂²	1	2	yes	—
83	C₁₉×#465	C₂²	1	2	yes	—
84	C₁₉×#465	C₂²	1	2	yes	—
85	C₁₉×#465	C₂²	1	2	yes	complemented
86	C₁₉×#464	C₂²	1	2	yes	complemented
87	C₁₉×#464	C₂²	1	2	yes	complemented
88	C₁₉×#462	C₂²	1	2	yes	complemented
89	C₁₉×#461	C₂²	1	2	yes	complemented
90	C₁₉×#452	C₂²	1	2	yes	complemented
91	C₁₉×#452	C₂²	1	2	yes	complemented
92	C₁₉×#451	C₂²	1	2	yes	—
93	C₁₉×#451	C₂²	1	2	yes	complemented
94	C₁₉×#451	C₂²	1	2	yes	complemented
95	C₁₉×#450	C₂²	1	2	yes	—
96	C₁₉×#448	C₂²	1	2	yes	—
97	C₁₉×#448	C₂²	1	2	yes	complemented
98	C₁₉×#441	C₂²	1	2	yes	complemented
99	C₁₉×#440	C₂²	1	2	yes	complemented
100	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	complemented
101	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
102	C₁₉×#435	C₂²	1	2	yes	—
103	C₁₉×#435	C₂²	1	2	yes	complemented
104	C₈×D₄×C₁₉	C₂²	1	2	yes	—
105	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
106	C₁₉×#428	C₂²	1	2	yes	complemented
107	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic
109	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#416	C₂²	1	2	yes	complemented
111	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
112	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
114	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
116	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
117	C₁₉×#407	C₂²	1	1	yes	characteristic
118	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₁₉	—	2	2	no	—
120	C₂×#41×C₁₉	C₂³	1	2	yes	—
121	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
122	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
123	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
125	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₉	—	2	1	no	—
127	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
129	C₁₉×#137	—	4	4	no	—
130	C₂×Q₁₆×C₁₉	—	4	2	no	—
131	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
132	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
133	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
134	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
135	C₂×SD₁₆×C₁₉	—	4	2	no	—
136	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
137	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
138	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
139	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
140	C₁₉×#131	—	4	2	no	—
141	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
142	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
143	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₉	—	4	2	no	—
145	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
152	C₁₉×C₄⋊Q₈	—	2	2	no	—
153	C₁₉×C₄⋊Q₈	—	2	2	no	—
154	C₁₉×C₄⋊Q₈	—	2	2	no	—
155	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₉×#126	—	2	2	no	—
158	C₁₉×#126	—	2	2	no	—
159	C₁₉×#126	—	2	2	no	—
160	C₁₉×#126	—	2	2	no	—
161	C₁₉×#126	—	2	2	no	—
162	C₁₉×#125	—	2	2	no	—
163	C₁₉×#125	—	2	2	no	—
164	C₁₉×#125	—	2	2	no	—
165	C₁₉×#125	—	2	2	no	—
166	C₁₉×#125	—	2	2	no	—
167	C₁₉×#125	C₂³	1	2	yes	—
168	C₁₉×#124	—	2	2	no	—
169	C₁₉×#124	—	2	2	no	—
170	C₁₉×#124	—	2	2	no	—
171	C₁₉×#124	C₂³	1	2	yes	—
172	C₁₉×#123	—	2	2	no	—
173	C₁₉×#123	—	2	2	no	—
174	C₁₉×#123	—	2	2	no	—
175	C₁₉×#123	—	2	2	no	—
176	C₁₉×#123	—	2	2	no	—
177	C₁₉×#123	—	2	2	no	—
178	C₁₉×#123	—	2	2	no	—
179	C₁₉×#123	—	2	2	no	—
180	C₁₉×#123	D₄	1	2	yes	—
181	C₁₉×C₂²⋊Q₈	—	2	2	no	—
182	C₁₉×C₂²⋊Q₈	—	2	1	no	—
183	C₁₉×C₂²⋊Q₈	—	2	1	no	—
184	C₁₉×C₂²⋊Q₈	—	2	1	no	—
185	C₁₉×C₂²⋊Q₈	—	2	1	no	—
186	C₁₉×C₂²⋊Q₈	—	2	1	no	—
187	C₁₉×C₂²⋊Q₈	—	2	1	no	—
188	C₁₉×C₂²⋊Q₈	—	2	2	no	—
189	C₁₉×C₂²⋊Q₈	—	2	2	no	—
190	C₁₉×C₂²⋊Q₈	—	2	2	no	—
191	C₁₉×C₂²⋊Q₈	—	2	2	no	—
192	C₁₉×C₂²⋊Q₈	—	2	2	no	—
193	C₁₉×C₂²⋊Q₈	—	2	2	no	—
194	C₁₉×C₂²⋊Q₈	—	2	2	no	—
195	C₁₉×C₂²⋊Q₈	—	2	2	no	—
196	C₁₉×C₂²⋊Q₈	—	2	2	no	—
197	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
198	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
199	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₉×#121	—	2	2	no	—
209	C₁₉×#121	—	2	2	no	—
210	C₁₉×#121	—	2	2	no	—
211	C₁₉×#121	—	2	2	no	—
212	C₁₉×#121	—	2	1	no	—
213	C₁₉×#121	—	2	1	no	—
214	C₁₉×#121	—	2	2	no	—
215	C₁₉×#121	D₄	1	1	yes	characteristic
216	C₁₉×#121	D₄	1	1	yes	characteristic
217	C₁₉×#121	C₂³	1	2	yes	—
218	C₁₉×#121	C₂³	1	2	yes	—
219	C₁₉×#121	C₂³	1	2	yes	—
220	C₁₉×#120	—	2	2	no	—
221	C₁₉×#120	D₄	1	2	yes	—
222	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
225	C₄×D₄×C₁₉	—	2	2	no	—
226	C₄×D₄×C₁₉	—	2	2	no	—
227	C₄×D₄×C₁₉	—	2	2	no	—
228	C₄×D₄×C₁₉	—	2	2	no	—
229	C₄×D₄×C₁₉	C₂³	1	2	yes	—
230	C₄×D₄×C₁₉	C₂³	1	2	yes	—
231	C₄×D₄×C₁₉	C₂³	1	2	yes	—
232	C₁₉×#117	—	2	2	no	—
233	C₁₉×#117	—	2	2	no	—
234	C₁₉×#117	C₂³	1	2	yes	—
235	C₁₉×#117	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
237	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
238	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
239	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
245	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
246	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
247	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
248	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
249	C₁₉×#107	C₂³	1	2	yes	—
250	C₁₉×#107	C₂³	1	2	yes	—
251	C₁₉×#107	C₂³	1	2	yes	—
252	C₁₉×#107	C₂³	1	2	yes	—
253	C₁₉×#106	C₂³	1	2	yes	—
254	C₁₉×#106	C₂³	1	2	yes	—
255	C₁₉×#106	C₂³	1	2	yes	—
256	C₁₉×#106	C₂³	1	2	yes	—
257	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₉×#103	C₂³	1	2	yes	—
260	C₁₉×#103	C₂³	1	2	yes	—
261	C₁₉×#103	C₂³	1	2	yes	—
262	C₁₉×#103	C₂³	1	2	yes	—
263	C₁₉×#103	C₂³	1	2	yes	—
264	C₁₉×#103	C₂³	1	2	yes	—
265	C₁₉×#103	C₂³	1	2	yes	—
266	C₁₉×#103	C₂³	1	2	yes	—
267	C₁₉×#103	C₂³	1	2	yes	—
268	C₁₉×#103	C₂³	1	2	yes	—
269	C₁₉×#103	C₂³	1	2	yes	—
270	C₁₉×#103	C₂³	1	2	yes	—
271	C₁₉×#102	C₂³	1	2	yes	—
272	C₁₉×#102	C₂³	1	2	yes	—
273	C₁₉×#102	C₂³	1	2	yes	—
274	C₁₉×#102	C₂³	1	2	yes	—
275	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
276	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₉×#97	C₂³	1	2	yes	—
280	C₄×C₈×C₁₉	C₂³	1	2	yes	—
281	C₂⁴×C₁₉	—	2	1	no	—
282	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
283	#41×C₁₉	—	4	1	no	—
284	#41×C₁₉	—	4	1	no	—
285	#41×C₁₉	—	4	2	no	—
286	#41×C₁₉	—	4	2	no	—
287	#41×C₁₉	—	8	4	no	—
288	C₂×Q₈×C₁₉	—	2	1	no	—
289	C₂×Q₈×C₁₉	—	2	2	no	—
290	C₂×Q₈×C₁₉	—	2	1	no	—
291	C₂×Q₈×C₁₉	—	2	1	no	—
292	C₂×Q₈×C₁₉	—	2	2	no	—
293	C₂×Q₈×C₁₉	—	4	1	no	—
294	C₂×Q₈×C₁₉	—	4	1	no	—
295	C₂×Q₈×C₁₉	—	4	1	no	—
296	C₂×Q₈×C₁₉	—	4	2	no	—
297	C₂×Q₈×C₁₉	—	4	1	no	—
298	C₂×Q₈×C₁₉	—	4	1	no	—
299	C₂×Q₈×C₁₉	—	4	1	no	—
300	C₂×Q₈×C₁₉	—	4	2	no	—
301	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
302	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
303	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
305	C₂×D₄×C₁₉	—	2	2	no	—
306	C₂×D₄×C₁₉	—	2	2	no	—
307	C₂×D₄×C₁₉	—	2	2	no	—
308	C₂×D₄×C₁₉	—	2	2	no	—
309	C₂×D₄×C₁₉	—	2	1	no	—
310	C₂×D₄×C₁₉	—	4	1	no	—
311	C₂×D₄×C₁₉	—	4	1	no	—
312	C₂×D₄×C₁₉	—	8	2	no	—
313	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
314	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
315	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
316	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
317	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₉	—	2	1	no	—
319	C₂²×C₄×C₁₉	—	2	1	no	—
320	C₂²×C₄×C₁₉	—	2	1	no	—
321	C₂²×C₄×C₁₉	—	2	1	no	—
322	C₂²×C₄×C₁₉	—	2	1	no	—
323	C₂²×C₄×C₁₉	—	2	1	no	—
324	C₂²×C₄×C₁₉	—	2	1	no	—
325	C₂²×C₄×C₁₉	—	2	2	no	—
326	C₂²×C₄×C₁₉	—	2	2	no	—
327	C₂²×C₄×C₁₉	—	2	2	no	—
328	C₂²×C₄×C₁₉	—	2	2	no	—
329	C₂²×C₄×C₁₉	—	4	1	no	—
330	C₂²×C₄×C₁₉	—	4	1	no	—
331	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
338	Q₁₆×C₁₉	—	2	4	no	—
339	Q₁₆×C₁₉	—	4	2	no	—
340	Q₁₆×C₁₉	—	4	2	no	—
341	Q₁₆×C₁₉	—	4	2	no	—
342	SD₁₆×C₁₉	—	2	4	no	—
343	SD₁₆×C₁₉	—	4	2	no	—
344	SD₁₆×C₁₉	—	4	2	no	—
345	SD₁₆×C₁₉	—	4	2	no	—
346	M₁₆×C₁₉	—	2	4	no	—
347	M₁₆×C₁₉	—	4	1	no	—
348	M₁₆×C₁₉	—	4	1	no	—
349	C₂×C₈×C₁₉	—	2	2	no	—
350	C₂×C₈×C₁₉	—	2	2	no	—
351	C₂×C₈×C₁₉	—	2	2	no	—
352	C₂×C₈×C₁₉	—	4	1	no	—
353	C₂×C₈×C₁₉	—	4	1	no	—
354	C₂×C₈×C₁₉	—	4	1	no	—
355	C₂×C₈×C₁₉	—	4	2	no	—
356	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
357	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
360	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
361	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
362	C₄⋊C₄×C₁₉	—	2	2	no	—
363	C₄⋊C₄×C₁₉	—	2	2	no	—
364	C₄⋊C₄×C₁₉	—	2	2	no	—
365	C₄⋊C₄×C₁₉	—	2	2	no	—
366	C₄⋊C₄×C₁₉	—	2	2	no	—
367	C₄⋊C₄×C₁₉	—	2	2	no	—
368	C₄⋊C₄×C₁₉	—	2	1	no	—
369	C₄⋊C₄×C₁₉	—	2	2	no	—
370	C₄⋊C₄×C₁₉	—	2	1	no	—
371	C₄⋊C₄×C₁₉	—	2	1	no	—
372	C₄⋊C₄×C₁₉	—	2	1	no	—
373	C₄⋊C₄×C₁₉	—	2	2	no	—
374	C₄⋊C₄×C₁₉	—	2	2	no	—
375	C₄⋊C₄×C₁₉	—	2	2	no	—
376	C₄⋊C₄×C₁₉	—	2	2	no	—
377	C₄⋊C₄×C₁₉	—	2	2	no	—
378	C₄⋊C₄×C₁₉	—	2	2	no	—
379	C₄⋊C₄×C₁₉	—	2	2	no	—
380	C₄⋊C₄×C₁₉	—	2	2	no	—
381	C₄⋊C₄×C₁₉	—	2	2	no	—
382	C₄⋊C₄×C₁₉	—	2	2	no	—
383	C₄⋊C₄×C₁₉	—	2	2	no	—
384	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
385	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
386	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
387	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
388	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
389	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
390	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
391	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
392	C₂²⋊C₄×C₁₉	—	2	2	no	—
393	C₂²⋊C₄×C₁₉	—	2	2	no	—
394	C₂²⋊C₄×C₁₉	—	2	2	no	—
395	C₂²⋊C₄×C₁₉	—	2	2	no	—
396	C₂²⋊C₄×C₁₉	—	2	2	no	—
397	C₂²⋊C₄×C₁₉	—	2	2	no	—
398	C₂²⋊C₄×C₁₉	—	2	2	no	—
399	C₂²⋊C₄×C₁₉	—	2	2	no	—
400	C₂²⋊C₄×C₁₉	—	2	2	no	—
401	C₂²⋊C₄×C₁₉	—	2	2	no	—
402	C₂²⋊C₄×C₁₉	—	2	2	no	—
403	C₂²⋊C₄×C₁₉	—	2	2	no	—
404	C₂²⋊C₄×C₁₉	—	2	2	no	—
405	C₂²⋊C₄×C₁₉	—	2	2	no	—
406	C₂²⋊C₄×C₁₉	—	2	2	no	—
407	C₂²⋊C₄×C₁₉	—	2	2	no	—
408	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
409	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
410	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
411	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
412	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
413	C₄²×C₁₉	—	2	2	no	—
414	C₄²×C₁₉	—	2	2	no	—
415	C₄²×C₁₉	—	2	2	no	—
416	C₄²×C₁₉	—	2	2	no	—
417	C₄²×C₁₉	C₂⁴	1	2	yes	—
418	#62281	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
419	C₂³×C₁₉	—	2	2	no	—
420	C₂³×C₁₉	—	2	2	no	—
421	C₂³×C₁₉	—	2	2	no	—
422	C₂³×C₁₉	—	4	1	no	—
423	C₂³×C₁₉	—	4	2	no	—
424	C₂³×C₁₉	—	8	1	no	—
425	C₂³×C₁₉	—	8	1	no	—
426	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
427	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
428	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
429	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
430	Q₈×C₁₉	—	2	2	no	—
431	Q₈×C₁₉	—	2	2	no	—
432	Q₈×C₁₉	—	2	2	no	—
433	Q₈×C₁₉	—	2	2	no	—
434	Q₈×C₁₉	—	2	2	no	—
435	Q₈×C₁₉	—	2	2	no	—
436	Q₈×C₁₉	—	4	1	no	—
437	Q₈×C₁₉	—	8	1	no	—
438	Q₈×C₁₉	—	8	1	no	—
439	Q₈×C₁₉	—	8	1	no	—
440	Q₈×C₁₉	—	8	2	no	—
441	Q₈×C₁₉	—	8	2	no	—
442	D₄×C₁₉	—	2	4	no	—
443	D₄×C₁₉	—	2	4	no	—
444	D₄×C₁₉	—	2	2	no	—
445	D₄×C₁₉	—	2	2	no	—
446	D₄×C₁₉	—	4	1	no	—
447	D₄×C₁₉	—	4	2	no	—
448	D₄×C₁₉	—	4	4	no	—
449	D₄×C₁₉	—	8	1	no	—
450	D₄×C₁₉	—	8	2	no	—
451	D₄×C₁₉	—	8	2	no	—
452	D₄×C₁₉	—	8	2	no	—
453	C₂×C₄×C₁₉	—	2	1	no	—
454	C₂×C₄×C₁₉	—	2	1	no	—
455	C₂×C₄×C₁₉	—	2	1	no	—
456	C₂×C₄×C₁₉	—	2	2	no	—
457	C₂×C₄×C₁₉	—	2	1	no	—
458	C₂×C₄×C₁₉	—	2	1	no	—
459	C₂×C₄×C₁₉	—	2	1	no	—
460	C₂×C₄×C₁₉	—	2	2	no	—
461	C₂×C₄×C₁₉	—	2	2	no	—
462	C₂×C₄×C₁₉	—	2	2	no	—
463	C₂×C₄×C₁₉	—	2	2	no	—
464	C₂×C₄×C₁₉	—	2	2	no	—
465	C₂×C₄×C₁₉	—	2	2	no	—
466	C₂×C₄×C₁₉	—	2	2	no	—
467	C₂×C₄×C₁₉	—	2	2	no	—
468	C₂×C₄×C₁₉	—	4	1	no	—
469	C₂×C₄×C₁₉	—	4	1	no	—
470	C₂×C₄×C₁₉	—	4	1	no	—
471	C₂×C₄×C₁₉	—	4	2	no	—
472	C₂×C₄×C₁₉	—	4	2	no	—
473	C₂×C₄×C₁₉	—	4	2	no	—
474	C₂×C₄×C₁₉	—	8	2	no	—
475	C₂×C₄×C₁₉	—	8	2	no	—
476	C₂×C₄×C₁₉	—	8	1	no	—
477	C₂×C₄×C₁₉	—	8	1	no	—
478	C₂×C₄×C₁₉	—	8	1	no	—
479	C₂×C₄×C₁₉	—	8	1	no	—
480	C₂×C₄×C₁₉	—	8	2	no	—
481	C₂×C₄×C₁₉	—	8	2	no	—
482	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
483	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
484	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
489	C₈×C₁₉	—	2	1	no	—
490	C₈×C₁₉	—	2	1	no	—
491	C₈×C₁₉	—	2	1	no	—
492	C₈×C₁₉	—	2	2	no	—
493	C₈×C₁₉	—	2	2	no	—
494	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
495	#3538	C₂×C₁₉	1	1	yes	characteristic, complemented
496	#3536	C₂×C₁₉	1	1	yes	characteristic
497	#3344	C₂×C₁₉	1	2	yes	complemented
498	#3343	C₂×C₁₉	1	2	yes	complemented
499	#3300	C₂×C₁₉	1	2	yes	complemented
500	#3299	C₂×C₁₉	1	2	yes	complemented
501	#3298	C₂×C₁₉	1	2	yes	complemented
502	#3296	C₂×C₁₉	1	2	yes	complemented
503	#3270	C₂×C₁₉	1	2	yes	complemented
504	#3266	C₂×C₁₉	1	2	yes	complemented
505	#3258	C₂×C₁₉	1	2	yes	complemented
506	#3201	C₂×C₁₉	1	2	yes	complemented
507	#3195	C₂×C₁₉	1	1	yes	characteristic, complemented
508	#3193	C₂×C₁₉	1	1	yes	characteristic, complemented
509	#3178	C₂×C₁₉	1	2	yes	complemented
510	#3063	C₂×C₁₉	1	2	yes	complemented
511	C₂×#467	C₂×C₁₉	1	1	yes	characteristic, complemented
512	C₂×#465	C₂×C₁₉	1	1	yes	characteristic, complemented
513	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
514	C₂²×C₁₉	—	2	1	no	—
515	C₂²×C₁₉	—	2	1	no	—
516	C₂²×C₁₉	—	2	1	no	—
517	C₂²×C₁₉	—	2	1	no	—
518	C₂²×C₁₉	—	2	1	no	—
519	C₂²×C₁₉	—	2	2	no	—
520	C₂²×C₁₉	—	2	2	no	—
521	C₂²×C₁₉	—	2	1	no	—
522	C₂²×C₁₉	—	2	2	no	—
523	C₂²×C₁₉	—	2	1	no	—
524	C₂²×C₁₉	—	4	4	no	—
525	C₂²×C₁₉	—	4	2	no	—
526	C₂²×C₁₉	—	4	2	no	—
527	C₂²×C₁₉	—	4	2	no	—
528	C₂²×C₁₉	—	16	2	no	—
529	C₂²×C₁₉	#577	1	2	yes	—
530	C₂²×C₁₉	#578	1	2	yes	—
531	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
532	C₄×C₁₉	—	2	1	no	—
533	C₄×C₁₉	—	2	1	no	—
534	C₄×C₁₉	—	2	1	no	—
535	C₄×C₁₉	—	2	2	no	—
536	C₄×C₁₉	—	2	2	no	—
537	C₄×C₁₉	—	2	2	no	—
538	C₄×C₁₉	—	4	2	no	—
539	C₄×C₁₉	—	4	2	no	—
540	C₄×C₁₉	—	4	2	no	—
541	C₄×C₁₉	—	4	2	no	—
542	C₄×C₁₉	—	4	2	no	—
543	C₄×C₁₉	—	4	2	no	—
544	C₄×C₁₉	—	4	2	no	—
545	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	C₄×C₁₉	#585	1	1	yes	characteristic
547	C₂×#137	C₂²×C₁₉	1	2	yes	complemented
548	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
549	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
550	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
551	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
552	#563	—	2	2	no	—
553	#562	—	2	2	no	—
554	#554	C₂²×C₁₉	1	2	yes	—
555	#552	C₂²×C₁₉	1	2	yes	—
556	#552	C₂²×C₁₉	1	2	yes	complemented
557	#551	—	2	2	no	—
558	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
559	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
560	#548	C₂²×C₁₉	1	2	yes	—
561	#547	C₂²×C₁₉	1	2	yes	—
562	#546	—	2	2	no	—
563	#546	C₂²×C₁₉	1	2	yes	—
564	#544	—	2	1	no	—
565	#544	—	2	1	no	—
566	#543	—	2	1	no	—
567	#542	C₂²×C₁₉	1	2	yes	—
568	#541	C₂²×C₁₉	1	2	yes	complemented
569	#539	—	2	1	no	—
570	#539	—	2	1	no	—
571	#539	—	2	1	no	—
572	#538	—	2	1	no	—
573	#537	—	2	1	no	—
574	#537	C₂²×C₁₉	1	2	yes	—
575	#536	C₂²×C₁₉	1	2	yes	complemented
576	#525	C₂²×C₁₉	1	1	yes	characteristic
577	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
578	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
579	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
580	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
581	#501	C₂²×C₁₉	1	2	yes	complemented
582	#497	C₂²×C₁₉	1	2	yes	complemented
583	#488	C₂²×C₁₉	1	2	yes	complemented
584	#487	C₂²×C₁₉	1	2	yes	complemented
585	#485	C₂²×C₁₉	1	2	yes	complemented
586	#484	C₂²×C₁₉	1	2	yes	—
587	#484	C₂²×C₁₉	1	2	yes	complemented
588	#483	C₂²×C₁₉	1	2	yes	—
589	#483	C₂²×C₁₉	1	2	yes	complemented
590	#483	C₂²×C₁₉	1	2	yes	complemented
591	#482	C₂²×C₁₉	1	2	yes	complemented
592	#480	C₂²×C₁₉	1	2	yes	—
593	#479	C₂²×C₁₉	1	2	yes	complemented
594	#478	C₂²×C₁₉	1	2	yes	complemented
595	#477	C₂²×C₁₉	1	2	yes	complemented
596	#475	C₂²×C₁₉	1	2	yes	complemented
597	#470	C₂²×C₁₉	1	2	yes	complemented
598	#470	C₂²×C₁₉	1	2	yes	complemented
599	#470	C₂²×C₁₉	1	2	yes	complemented
600	#468	C₂²×C₁₉	1	2	yes	—
601	#468	C₂²×C₁₉	1	2	yes	—
602	#468	C₂²×C₁₉	1	2	yes	complemented
603	#467	C₂²×C₁₉	1	2	yes	—
604	#467	C₂²×C₁₉	1	2	yes	—
605	#467	C₂²×C₁₉	1	2	yes	complemented
606	#467	C₂²×C₁₉	1	2	yes	complemented
607	#467	C₂²×C₁₉	1	2	yes	complemented
608	#465	C₂²×C₁₉	1	2	yes	—
609	#465	C₂²×C₁₉	1	2	yes	—
610	#465	C₂²×C₁₉	1	2	yes	—
611	#465	C₂²×C₁₉	1	2	yes	—
612	#465	C₂²×C₁₉	1	2	yes	complemented
613	#464	C₂²×C₁₉	1	2	yes	complemented
614	#464	C₂²×C₁₉	1	2	yes	complemented
615	#462	C₂²×C₁₉	1	2	yes	complemented
616	#461	C₂²×C₁₉	1	2	yes	complemented
617	#452	C₂²×C₁₉	1	2	yes	complemented
618	#452	C₂²×C₁₉	1	2	yes	complemented
619	#451	C₂²×C₁₉	1	2	yes	—
620	#451	C₂²×C₁₉	1	2	yes	complemented
621	#451	C₂²×C₁₉	1	2	yes	complemented
622	#450	C₂²×C₁₉	1	2	yes	—
623	#448	C₂²×C₁₉	1	2	yes	—
624	#448	C₂²×C₁₉	1	2	yes	complemented
625	#441	C₂²×C₁₉	1	2	yes	complemented
626	#440	C₂²×C₁₉	1	2	yes	complemented
627	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	complemented
628	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
629	#435	C₂²×C₁₉	1	2	yes	—
630	#435	C₂²×C₁₉	1	2	yes	complemented
631	C₈×D₄	C₂²×C₁₉	1	2	yes	—
632	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
633	#428	C₂²×C₁₉	1	2	yes	complemented
634	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
635	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic
636	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
637	#416	C₂²×C₁₉	1	2	yes	complemented
638	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
639	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
640	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
641	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
642	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
643	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
644	#407	C₂²×C₁₉	1	1	yes	characteristic
645	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
646	C₂×C₁₉	—	2	2	no	—
647	C₂×C₁₉	—	2	2	no	—
648	C₂×C₁₉	—	4	2	no	—
649	C₂×C₁₉	—	4	1	no	—
650	C₂×C₁₉	—	8	2	no	—
651	C₂×C₁₉	#3496	1	1	yes	characteristic
652	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
653	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
654	C₂×#41	—	2	2	no	—
655	C₂×#41	C₂³×C₁₉	1	2	yes	—
656	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
657	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
658	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
659	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
660	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
661	C₂²×D₄	—	2	1	no	—
662	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
663	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
664	#137	—	4	4	no	—
665	C₂×Q₁₆	—	4	2	no	—
666	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
667	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
668	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
669	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
670	C₂×SD₁₆	—	4	2	no	—
671	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
672	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
673	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
674	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
675	#131	—	4	2	no	—
676	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
677	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
678	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
679	C₂²×C₈	—	4	2	no	—
680	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
681	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
682	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
683	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
684	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
685	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
686	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
687	C₄⋊Q₈	—	2	2	no	—
688	C₄⋊Q₈	—	2	2	no	—
689	C₄⋊Q₈	—	2	2	no	—
690	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
691	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
692	#126	—	2	2	no	—
693	#126	—	2	2	no	—
694	#126	—	2	2	no	—
695	#126	—	2	2	no	—
696	#126	—	2	2	no	—
697	#125	—	2	2	no	—
698	#125	—	2	2	no	—
699	#125	—	2	2	no	—
700	#125	—	2	2	no	—
701	#125	—	2	2	no	—
702	#125	C₂³×C₁₉	1	2	yes	—
703	#124	—	2	2	no	—
704	#124	—	2	2	no	—
705	#124	—	2	2	no	—
706	#124	C₂³×C₁₉	1	2	yes	—
707	#123	—	2	2	no	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	—	2	2	no	—
715	#123	D₄×C₁₉	1	2	yes	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	1	no	—
718	C₂²⋊Q₈	—	2	1	no	—
719	C₂²⋊Q₈	—	2	1	no	—
720	C₂²⋊Q₈	—	2	1	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
733	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
734	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
735	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
736	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
737	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
738	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
739	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
740	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
741	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
742	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	1	no	—
748	#121	—	2	1	no	—
749	#121	—	2	2	no	—
750	#121	D₄×C₁₉	1	1	yes	characteristic
751	#121	D₄×C₁₉	1	1	yes	characteristic
752	#121	C₂³×C₁₉	1	2	yes	—
753	#121	C₂³×C₁₉	1	2	yes	—
754	#121	C₂³×C₁₉	1	2	yes	—
755	#120	—	2	2	no	—
756	#120	D₄×C₁₉	1	2	yes	—
757	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
758	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
759	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	C₂³×C₁₉	1	2	yes	—
765	C₄×D₄	C₂³×C₁₉	1	2	yes	—
766	C₄×D₄	C₂³×C₁₉	1	2	yes	—
767	#117	—	2	2	no	—
768	#117	—	2	2	no	—
769	#117	C₂³×C₁₉	1	2	yes	—
770	#117	C₂³×C₁₉	1	1	yes	characteristic
771	C₂×C₄⋊C₄	—	2	1	no	—
772	C₂×C₄⋊C₄	—	2	1	no	—
773	C₂×C₄⋊C₄	—	2	1	no	—
774	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
779	C₂×C₂²⋊C₄	—	2	1	no	—
780	C₂×C₂²⋊C₄	—	2	1	no	—
781	C₂×C₂²⋊C₄	—	2	1	no	—
782	C₂×C₂²⋊C₄	—	2	1	no	—
783	C₂×C₂²⋊C₄	—	2	2	no	—
784	#107	C₂³×C₁₉	1	2	yes	—
785	#107	C₂³×C₁₉	1	2	yes	—
786	#107	C₂³×C₁₉	1	2	yes	—
787	#107	C₂³×C₁₉	1	2	yes	—
788	#106	C₂³×C₁₉	1	2	yes	—
789	#106	C₂³×C₁₉	1	2	yes	—
790	#106	C₂³×C₁₉	1	2	yes	—
791	#106	C₂³×C₁₉	1	2	yes	—
792	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
793	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
794	#103	C₂³×C₁₉	1	2	yes	—
795	#103	C₂³×C₁₉	1	2	yes	—
796	#103	C₂³×C₁₉	1	2	yes	—
797	#103	C₂³×C₁₉	1	2	yes	—
798	#103	C₂³×C₁₉	1	2	yes	—
799	#103	C₂³×C₁₉	1	2	yes	—
800	#103	C₂³×C₁₉	1	2	yes	—
801	#103	C₂³×C₁₉	1	2	yes	—
802	#103	C₂³×C₁₉	1	2	yes	—
803	#103	C₂³×C₁₉	1	2	yes	—
804	#103	C₂³×C₁₉	1	2	yes	—
805	#103	C₂³×C₁₉	1	2	yes	—
806	#102	C₂³×C₁₉	1	2	yes	—
807	#102	C₂³×C₁₉	1	2	yes	—
808	#102	C₂³×C₁₉	1	2	yes	—
809	#102	C₂³×C₁₉	1	2	yes	—
810	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
811	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
812	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
813	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
814	#97	C₂³×C₁₉	1	2	yes	—
815	C₄×C₈	C₂³×C₁₉	1	2	yes	—
816	C₁₉	#62281	1	1	yes	characteristic, direct product factor, Sylow
817	C₂⁴	—	2	1	no	—
818	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
819	#41	—	4	1	no	—
820	#41	—	4	1	no	—
821	#41	—	4	2	no	—
822	#41	—	4	2	no	—
823	#41	—	8	4	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	2	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	2	no	—
829	C₂×Q₈	—	4	1	no	—
830	C₂×Q₈	—	4	1	no	—
831	C₂×Q₈	—	4	1	no	—
832	C₂×Q₈	—	4	2	no	—
833	C₂×Q₈	—	4	1	no	—
834	C₂×Q₈	—	4	1	no	—
835	C₂×Q₈	—	4	1	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
838	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
839	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
840	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	1	no	—
846	C₂×D₄	—	4	1	no	—
847	C₂×D₄	—	4	1	no	—
848	C₂×D₄	—	8	2	no	—
849	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
850	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
851	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
852	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
853	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	1	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	4	1	no	—
866	C₂²×C₄	—	4	1	no	—
867	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
868	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
869	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
874	Q₁₆	—	2	4	no	—
875	Q₁₆	—	4	2	no	—
876	Q₁₆	—	4	2	no	—
877	Q₁₆	—	4	2	no	—
878	SD₁₆	—	2	4	no	—
879	SD₁₆	—	4	2	no	—
880	SD₁₆	—	4	2	no	—
881	SD₁₆	—	4	2	no	—
882	M₁₆	—	2	4	no	—
883	M₁₆	—	4	1	no	—
884	M₁₆	—	4	1	no	—
885	C₂×C₈	—	2	2	no	—
886	C₂×C₈	—	2	2	no	—
887	C₂×C₈	—	2	2	no	—
888	C₂×C₈	—	4	1	no	—
889	C₂×C₈	—	4	1	no	—
890	C₂×C₈	—	4	1	no	—
891	C₂×C₈	—	4	2	no	—
892	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
893	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
894	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
895	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
896	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
897	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	1	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
921	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
922	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
923	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
924	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
925	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
926	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
927	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
928	C₂²⋊C₄	—	2	2	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	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
945	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
946	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
947	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
948	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
949	C₄²	—	2	2	no	—
950	C₄²	—	2	2	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	2	no	—
953	C₄²	C₂⁴×C₁₉	1	2	yes	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	4	1	no	—
958	C₂³	—	4	2	no	—
959	C₂³	—	8	1	no	—
960	C₂³	—	8	1	no	—
961	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
962	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
963	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
964	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
965	Q₈	—	2	2	no	—
966	Q₈	—	2	2	no	—
967	Q₈	—	2	2	no	—
968	Q₈	—	2	2	no	—
969	Q₈	—	2	2	no	—
970	Q₈	—	2	2	no	—
971	Q₈	—	4	1	no	—
972	Q₈	—	8	1	no	—
973	Q₈	—	8	1	no	—
974	Q₈	—	8	1	no	—
975	Q₈	—	8	2	no	—
976	Q₈	—	8	2	no	—
977	D₄	—	2	4	no	—
978	D₄	—	2	4	no	—
979	D₄	—	2	2	no	—
980	D₄	—	2	2	no	—
981	D₄	—	4	1	no	—
982	D₄	—	4	2	no	—
983	D₄	—	4	4	no	—
984	D₄	—	8	1	no	—
985	D₄	—	8	2	no	—
986	D₄	—	8	2	no	—
987	D₄	—	8	2	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	4	1	no	—
1004	C₂×C₄	—	4	1	no	—
1005	C₂×C₄	—	4	1	no	—
1006	C₂×C₄	—	4	2	no	—
1007	C₂×C₄	—	4	2	no	—
1008	C₂×C₄	—	4	2	no	—
1009	C₂×C₄	—	8	2	no	—
1010	C₂×C₄	—	8	2	no	—
1011	C₂×C₄	—	8	1	no	—
1012	C₂×C₄	—	8	1	no	—
1013	C₂×C₄	—	8	1	no	—
1014	C₂×C₄	—	8	1	no	—
1015	C₂×C₄	—	8	2	no	—
1016	C₂×C₄	—	8	2	no	—
1017	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1018	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1019	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1020	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1021	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1022	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1023	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1024	C₈	—	2	1	no	—
1025	C₈	—	2	1	no	—
1026	C₈	—	2	1	no	—
1027	C₈	—	2	2	no	—
1028	C₈	—	2	2	no	—
1029	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	4	4	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	16	2	no	—
1045	C₂²	C₁₉×#577	1	2	yes	—
1046	C₂²	C₁₉×#578	1	2	yes	—
1047	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	1	no	—
1051	C₄	—	2	2	no	—
1052	C₄	—	2	2	no	—
1053	C₄	—	2	2	no	—
1054	C₄	—	4	2	no	—
1055	C₄	—	4	2	no	—
1056	C₄	—	4	2	no	—
1057	C₄	—	4	2	no	—
1058	C₄	—	4	2	no	—
1059	C₄	—	4	2	no	—
1060	C₄	—	4	2	no	—
1061	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1062	C₄	C₁₉×#585	1	1	yes	characteristic
1063	C₂	—	2	2	no	—
1064	C₂	—	2	2	no	—
1065	C₂	—	4	1	no	—
1066	C₂	—	4	2	no	—
1067	C₂	—	8	2	no	—
1068	C₂	C₁₉×#3496	1	1	yes	characteristic
1069	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1070	C₂	C₂×C₁₉×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#3536	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3538	C₂	semidirect
3. C₁₉×#3344	C₂	semidirect
4. C₁₉×#3343	C₂	semidirect
5. C₁₉×#3300	C₂	semidirect
6. C₁₉×#3299	C₂	semidirect
7. C₁₉×#3298	C₂	semidirect
8. C₁₉×#3296	C₂	semidirect
9. C₁₉×#3270	C₂	semidirect
10. C₁₉×#3266	C₂	semidirect
11. C₁₉×#3258	C₂	semidirect
12. C₁₉×#3201	C₂	semidirect
13. C₁₉×#3195	C₂	semidirect
14. C₁₉×#3193	C₂	semidirect
15. C₁₉×#3178	C₂	semidirect
16. C₁₉×#3063	C₂	semidirect
17. C₂×C₁₉×#467	C₂	semidirect
18. C₂×C₁₉×#465	C₂	semidirect
19. C₁₉×#2929	C₂	semidirect
20. C₂×C₁₉×#137	C₂²	semidirect
21. C₂²×Q₁₆×C₁₉	C₂²	semidirect
23. C₂×C₁₉×#131	C₂²	semidirect
29. C₁₉×#552	C₂²	semidirect
32. D₄×Q₈×C₁₉	C₂²	semidirect
41. C₁₉×#541	C₂²	semidirect
48. C₁₉×#536	C₂²	semidirect
54. C₁₉×#501	C₂²	semidirect
55. C₁₉×#497	C₂²	semidirect
56. C₁₉×#488	C₂²	semidirect
57. C₁₉×#487	C₂²	semidirect
58. C₁₉×#485	C₂²	semidirect
60. C₁₉×#484	C₂²	semidirect
62. C₁₉×#483	C₂²	semidirect
63. C₁₉×#483	C₂²	semidirect
64. C₁₉×#482	C₂²	semidirect
66. C₁₉×#479	C₂²	semidirect
67. C₁₉×#478	C₂²	semidirect
68. C₁₉×#477	C₂²	semidirect
69. C₁₉×#475	C₂²	semidirect
70. C₁₉×#470	C₂²	semidirect
71. C₁₉×#470	C₂²	semidirect
72. C₁₉×#470	C₂²	semidirect
75. C₁₉×#468	C₂²	semidirect
78. C₁₉×#467	C₂²	semidirect
79. C₁₉×#467	C₂²	semidirect
80. C₁₉×#467	C₂²	semidirect
85. C₁₉×#465	C₂²	semidirect
86. C₁₉×#464	C₂²	semidirect
87. C₁₉×#464	C₂²	semidirect
88. C₁₉×#462	C₂²	semidirect
89. C₁₉×#461	C₂²	semidirect
90. C₁₉×#452	C₂²	semidirect
91. C₁₉×#452	C₂²	semidirect
93. C₁₉×#451	C₂²	semidirect
94. C₁₉×#451	C₂²	semidirect
97. C₁₉×#448	C₂²	semidirect
98. C₁₉×#441	C₂²	semidirect
99. C₁₉×#440	C₂²	semidirect
100. C₄×Q₁₆×C₁₉	C₂²	semidirect
101. C₄×SD₁₆×C₁₉	C₂²	semidirect
103. C₁₉×#435	C₂²	semidirect
105. C₈×D₄×C₁₉	C₂²	semidirect
106. C₁₉×#428	C₂²	semidirect
107. C₂×C₁₉×#107	C₂²	semidirect
109. C₁₉×#424	C₂²	semidirect
110. C₁₉×#416	C₂²	semidirect
112. C₂×C₁₉×#103	C₂²	semidirect
113. C₂×C₁₉×#103	C₂²	semidirect
114. C₂×C₁₉×#103	C₂²	semidirect
116. C₁₉×#408	C₂²	semidirect
118. C₁₉×#405	C₂²	semidirect
418. #62281	C₁₉	direct (N × H)
495. #3538	C₂×C₁₉	semidirect
497. #3344	C₂×C₁₉	semidirect
498. #3343	C₂×C₁₉	semidirect
499. #3300	C₂×C₁₉	semidirect
500. #3299	C₂×C₁₉	semidirect
501. #3298	C₂×C₁₉	semidirect
502. #3296	C₂×C₁₉	semidirect
503. #3270	C₂×C₁₉	semidirect
504. #3266	C₂×C₁₉	semidirect
505. #3258	C₂×C₁₉	semidirect
506. #3201	C₂×C₁₉	semidirect
507. #3195	C₂×C₁₉	semidirect
508. #3193	C₂×C₁₉	semidirect
509. #3178	C₂×C₁₉	semidirect
510. #3063	C₂×C₁₉	semidirect
511. C₂×#467	C₂×C₁₉	semidirect
512. C₂×#465	C₂×C₁₉	semidirect
513. #2929	C₂×C₁₉	semidirect
547. C₂×#137	C₂²×C₁₉	semidirect
548. C₂²×Q₁₆	C₂²×C₁₉	semidirect
550. C₂×#131	C₂²×C₁₉	semidirect
556. #552	C₂²×C₁₉	semidirect
559. D₄×Q₈	C₂²×C₁₉	semidirect
568. #541	C₂²×C₁₉	semidirect
575. #536	C₂²×C₁₉	semidirect
581. #501	C₂²×C₁₉	semidirect
582. #497	C₂²×C₁₉	semidirect
583. #488	C₂²×C₁₉	semidirect
584. #487	C₂²×C₁₉	semidirect
585. #485	C₂²×C₁₉	semidirect
587. #484	C₂²×C₁₉	semidirect
589. #483	C₂²×C₁₉	semidirect
590. #483	C₂²×C₁₉	semidirect
591. #482	C₂²×C₁₉	semidirect
593. #479	C₂²×C₁₉	semidirect
594. #478	C₂²×C₁₉	semidirect
595. #477	C₂²×C₁₉	semidirect
596. #475	C₂²×C₁₉	semidirect
597. #470	C₂²×C₁₉	semidirect
598. #470	C₂²×C₁₉	semidirect
599. #470	C₂²×C₁₉	semidirect
602. #468	C₂²×C₁₉	semidirect
605. #467	C₂²×C₁₉	semidirect
606. #467	C₂²×C₁₉	semidirect
607. #467	C₂²×C₁₉	semidirect
612. #465	C₂²×C₁₉	semidirect
613. #464	C₂²×C₁₉	semidirect
614. #464	C₂²×C₁₉	semidirect
615. #462	C₂²×C₁₉	semidirect
616. #461	C₂²×C₁₉	semidirect
617. #452	C₂²×C₁₉	semidirect
618. #452	C₂²×C₁₉	semidirect
620. #451	C₂²×C₁₉	semidirect
621. #451	C₂²×C₁₉	semidirect
624. #448	C₂²×C₁₉	semidirect
625. #441	C₂²×C₁₉	semidirect
626. #440	C₂²×C₁₉	semidirect
627. C₄×Q₁₆	C₂²×C₁₉	semidirect
628. C₄×SD₁₆	C₂²×C₁₉	semidirect
630. #435	C₂²×C₁₉	semidirect
632. C₈×D₄	C₂²×C₁₉	semidirect
633. #428	C₂²×C₁₉	semidirect
634. C₂×#107	C₂²×C₁₉	semidirect
636. #424	C₂²×C₁₉	semidirect
637. #416	C₂²×C₁₉	semidirect
639. C₂×#103	C₂²×C₁₉	semidirect
640. C₂×#103	C₂²×C₁₉	semidirect
641. C₂×#103	C₂²×C₁₉	semidirect
643. #408	C₂²×C₁₉	semidirect
645. #405	C₂²×C₁₉	semidirect
816. C₁₉	#62281	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×#3538	2
C₁₉×#3536	2
C₁₉×#3344	2
C₁₉×#3343	2
C₁₉×#3300	2
C₁₉×#3299	2
C₁₉×#3298	2
C₁₉×#3296	2
C₁₉×#3270	2
C₁₉×#3266	2
C₁₉×#3258	2
C₁₉×#3201	2
C₁₉×#3195	2
C₁₉×#3193	2
C₁₉×#3178	2
C₁₉×#3063	2
C₂×C₁₉×#467	2
C₂×C₁₉×#465	2
C₁₉×#2929	2
#62281	19

Subgroups — C19×#62281 #18068240

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62281 #18068240