Subgroups — C₁₉×#21519 #18027478

Order 4864.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3035	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#444	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#443	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#2932	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2875	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1980	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1950	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1929	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1929	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1876	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1876	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1806	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1771	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1765	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1764	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
22	C₁₉×#532	C₂²	1	1	yes	characteristic
23	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
24	C₁₉×#464	C₄	1	1	yes	characteristic, complemented
25	C₁₉×#464	C₄	1	1	yes	characteristic, complemented
26	C₁₉×#463	C₄	1	1	yes	characteristic, complemented
27	C₁₉×#463	C₄	1	1	yes	characteristic, complemented
28	C₁₉×#462	C₄	1	1	yes	characteristic, complemented
29	C₁₉×#461	C₄	1	1	yes	characteristic, complemented
30	C₁₉×#460	C₄	1	1	yes	characteristic, complemented
31	C₁₉×#459	C₄	1	1	yes	characteristic, complemented
32	C₁₉×#444	—	2	4	no	—
33	C₁₉×#443	—	2	4	no	—
34	C₁₉×#435	—	2	1	no	—
35	C₁₉×#435	—	2	1	no	—
36	C₁₉×#435	—	2	1	no	—
37	C₁₉×#435	—	2	1	no	—
38	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
40	C₁₉×#423	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
46	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
47	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
48	C₁₉×#416	C₂²	1	1	yes	characteristic
49	C₁₉×#416	C₂²	1	1	yes	characteristic
50	C₁₉×#408	C₂²	1	1	yes	characteristic
51	C₁₉×#408	C₂²	1	1	yes	characteristic
52	C₁₉×#405	—	2	1	no	—
53	C₁₉×#405	—	2	1	no	—
54	C₁₉×#405	C₂²	1	1	yes	characteristic
55	C₁₉×#405	C₂²	1	1	yes	characteristic
56	C₄×M₁₆×C₁₉	—	2	1	no	—
57	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
58	C₂×C₁₉×#97	—	2	1	no	—
59	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
60	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
61	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
62	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
63	C₁₉×#341	C₂²	1	1	yes	characteristic
64	C₁₉×#341	C₂²	1	1	yes	characteristic
65	C₁₉×#339	C₂²	1	1	yes	characteristic
66	C₁₉×#339	C₂²	1	1	yes	characteristic
67	C₁₉×#336	C₂²	1	1	yes	characteristic
68	C₁₉×#336	C₂²	1	1	yes	characteristic
69	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
70	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
71	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
72	C₁₉×#135	—	2	2	no	—
73	C₁₉×#135	—	2	2	no	—
74	C₁₉×#135	—	2	2	no	—
75	C₁₉×#135	—	2	2	no	—
76	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
77	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
78	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
79	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
80	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
81	C₂×SD₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
82	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
83	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
84	C₁₉×#131	—	2	2	no	—
85	C₁₉×#131	—	2	2	no	—
86	C₁₉×#131	—	2	2	no	—
87	C₁₉×#131	—	2	2	no	—
88	C₁₉×#131	—	2	2	no	—
89	C₁₉×#131	—	2	2	no	—
90	C₁₉×#131	—	2	2	no	—
91	C₁₉×#131	D₄	1	4	yes	complemented
92	C₂×M₁₆×C₁₉	—	2	1	no	—
93	C₂×M₁₆×C₁₉	—	2	1	no	—
94	C₂×M₁₆×C₁₉	—	2	1	no	—
95	C₂×M₁₆×C₁₉	—	2	1	no	—
96	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
97	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
98	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
99	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₁₉	—	2	1	no	—
101	C₂²×C₈×C₁₉	—	2	1	no	—
102	C₂²×C₈×C₁₉	—	2	1	no	—
103	C₂²×C₈×C₁₉	—	2	1	no	—
104	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
106	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
107	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
108	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
109	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
110	C₁₉×#124	C₂×C₄	1	1	yes	characteristic
111	C₁₉×#124	C₂×C₄	1	1	yes	characteristic
112	C₁₉×#121	—	2	1	no	—
113	C₁₉×#121	—	2	1	no	—
114	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
115	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
116	C₄×D₄×C₁₉	—	2	1	no	—
117	C₄×D₄×C₁₉	—	2	1	no	—
118	C₄×D₄×C₁₉	—	2	1	no	—
119	C₄×D₄×C₁₉	—	2	1	no	—
120	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
121	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
122	C₁₉×#117	—	2	1	no	—
123	C₁₉×#117	C₂³	1	1	yes	characteristic
124	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
125	C₂×C₄²×C₁₉	—	2	1	no	—
126	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
127	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
128	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
129	C₁₉×#108	—	2	2	no	—
130	C₁₉×#108	—	2	2	no	—
131	C₁₉×C₄⋊C₈	—	2	1	no	—
132	C₁₉×C₄⋊C₈	—	2	1	no	—
133	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
134	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
135	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
136	C₁₉×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
137	C₁₉×#104	—	2	2	no	—
138	C₁₉×#104	—	2	2	no	—
139	C₁₉×#104	—	2	2	no	—
140	C₁₉×#104	—	2	2	no	—
141	C₁₉×#104	—	2	2	no	—
142	C₁₉×#104	—	2	2	no	—
143	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
144	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
145	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
146	C₁₉×#103	C₂×C₄	1	1	yes	characteristic
147	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
148	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
149	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
150	C₁₉×#102	C₂×C₄	1	1	yes	characteristic
151	C₁₉×C₂²⋊C₈	—	2	1	no	—
152	C₁₉×C₂²⋊C₈	—	2	1	no	—
153	C₁₉×C₂²⋊C₈	—	2	1	no	—
154	C₁₉×C₂²⋊C₈	—	2	1	no	—
155	C₁₉×#97	—	2	1	no	—
156	C₁₉×#97	—	2	1	no	—
157	C₁₉×#97	—	2	2	no	—
158	C₁₉×#97	—	2	1	no	—
159	C₁₉×#97	D₄	1	1	yes	characteristic
160	C₁₉×#97	D₄	1	1	yes	characteristic
161	C₁₉×#97	D₄	1	1	yes	characteristic
162	C₁₉×#97	D₄	1	1	yes	characteristic
163	C₄×C₈×C₁₉	—	2	2	no	—
164	C₄×C₈×C₁₉	—	2	1	no	—
165	C₄×C₈×C₁₉	—	2	1	no	—
166	C₄×C₈×C₁₉	—	2	1	no	—
167	C₁₉×#95	—	2	1	no	—
168	#41×C₁₉	—	2	1	no	—
169	#41×C₁₉	—	2	1	no	—
170	#41×C₁₉	—	2	1	no	—
171	#41×C₁₉	—	2	1	no	—
172	#41×C₁₉	—	2	1	no	—
173	#41×C₁₉	—	2	1	no	—
174	#41×C₁₉	—	2	1	no	—
175	#41×C₁₉	—	2	1	no	—
176	#41×C₁₉	—	2	1	no	—
177	#41×C₁₉	—	2	1	no	—
178	#41×C₁₉	C₂×D₄	1	2	yes	—
179	#41×C₁₉	#41	1	2	yes	—
180	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
181	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
182	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
183	C₂×D₄×C₁₉	—	2	1	no	—
184	C₂×D₄×C₁₉	—	2	1	no	—
185	C₂×D₄×C₁₉	—	2	1	no	—
186	C₂×D₄×C₁₉	—	2	1	no	—
187	C₂×D₄×C₁₉	—	2	1	no	—
188	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
189	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
190	C₂×D₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
191	C₂²×C₄×C₁₉	—	2	1	no	—
192	C₂²×C₄×C₁₉	—	2	1	no	—
193	C₂²×C₄×C₁₉	—	2	1	no	—
194	C₂²×C₄×C₁₉	—	2	1	no	—
195	C₂²×C₄×C₁₉	—	2	1	no	—
196	C₂²×C₄×C₁₉	—	2	1	no	—
197	C₂²×C₄×C₁₉	—	2	1	no	—
198	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
199	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
200	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
201	Q₁₆×C₁₉	—	2	2	no	—
202	Q₁₆×C₁₉	—	2	2	no	—
203	SD₁₆×C₁₉	—	2	2	no	—
204	SD₁₆×C₁₉	—	2	2	no	—
205	SD₁₆×C₁₉	—	2	2	no	—
206	SD₁₆×C₁₉	—	2	2	no	—
207	D₈×C₁₉	—	2	2	no	—
208	D₈×C₁₉	—	2	2	no	—
209	M₁₆×C₁₉	—	2	4	no	—
210	M₁₆×C₁₉	—	2	1	no	—
211	M₁₆×C₁₉	—	2	1	no	—
212	M₁₆×C₁₉	—	2	4	no	—
213	M₁₆×C₁₉	—	2	1	no	—
214	M₁₆×C₁₉	—	2	1	no	—
215	M₁₆×C₁₉	—	2	1	no	—
216	M₁₆×C₁₉	—	2	1	no	—
217	M₁₆×C₁₉	—	4	2	no	—
218	M₁₆×C₁₉	—	4	2	no	—
219	M₁₆×C₁₉	C₂×D₄	1	2	yes	—
220	M₁₆×C₁₉	#41	1	2	yes	—
221	C₂×C₈×C₁₉	—	2	4	no	—
222	C₂×C₈×C₁₉	—	2	1	no	—
223	C₂×C₈×C₁₉	—	2	1	no	—
224	C₂×C₈×C₁₉	—	2	1	no	—
225	C₂×C₈×C₁₉	—	2	1	no	—
226	C₂×C₈×C₁₉	—	2	1	no	—
227	C₂×C₈×C₁₉	—	2	1	no	—
228	C₂×C₈×C₁₉	—	2	1	no	—
229	C₂×C₈×C₁₉	—	2	1	no	—
230	C₂×C₈×C₁₉	—	2	4	no	—
231	C₂×C₈×C₁₉	—	2	1	no	—
232	C₂×C₈×C₁₉	—	2	1	no	—
233	C₂×C₈×C₁₉	—	4	2	no	—
234	C₂×C₈×C₁₉	—	4	2	no	—
235	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
236	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
237	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
238	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
239	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
240	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
241	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
242	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
243	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
244	C₂×C₈×C₁₉	#41	1	2	yes	—
245	C₄⋊C₄×C₁₉	—	2	1	no	—
246	C₄⋊C₄×C₁₉	—	2	1	no	—
247	C₄⋊C₄×C₁₉	—	2	1	no	—
248	C₄⋊C₄×C₁₉	—	2	1	no	—
249	C₄⋊C₄×C₁₉	—	4	2	no	—
250	C₄⋊C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
251	C₄⋊C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
252	C₂²⋊C₄×C₁₉	—	2	1	no	—
253	C₂²⋊C₄×C₁₉	—	2	1	no	—
254	C₂²⋊C₄×C₁₉	—	2	1	no	—
255	C₂²⋊C₄×C₁₉	—	2	1	no	—
256	C₂²⋊C₄×C₁₉	—	2	1	no	—
257	C₂²⋊C₄×C₁₉	—	2	1	no	—
258	C₂²⋊C₄×C₁₉	—	2	1	no	—
259	C₄²×C₁₉	—	2	1	no	—
260	C₄²×C₁₉	—	2	1	no	—
261	C₄²×C₁₉	—	2	1	no	—
262	C₄²×C₁₉	—	2	1	no	—
263	C₄²×C₁₉	—	2	1	no	—
264	C₄²×C₁₉	—	2	1	no	—
265	C₄²×C₁₉	—	2	1	no	—
266	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
267	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
268	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
269	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
270	#21519	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
271	C₂³×C₁₉	—	2	1	no	—
272	C₂³×C₁₉	—	2	1	no	—
273	C₂³×C₁₉	—	2	1	no	—
274	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
275	Q₈×C₁₉	—	2	1	no	—
276	Q₈×C₁₉	—	2	1	no	—
277	Q₈×C₁₉	—	2	1	no	—
278	Q₈×C₁₉	—	2	1	no	—
279	Q₈×C₁₉	—	2	1	no	—
280	Q₈×C₁₉	C₄×D₄	1	2	yes	—
281	D₄×C₁₉	—	2	2	no	—
282	D₄×C₁₉	—	2	2	no	—
283	D₄×C₁₉	—	2	1	no	—
284	D₄×C₁₉	—	2	1	no	—
285	D₄×C₁₉	—	2	1	no	—
286	D₄×C₁₉	—	2	1	no	—
287	D₄×C₁₉	—	2	1	no	—
288	D₄×C₁₉	—	4	1	no	—
289	D₄×C₁₉	—	4	1	no	—
290	D₄×C₁₉	—	4	1	no	—
291	D₄×C₁₉	—	4	1	no	—
292	D₄×C₁₉	—	8	1	no	—
293	D₄×C₁₉	—	8	1	no	—
294	D₄×C₁₉	C₄×D₄	1	2	yes	—
295	C₂×C₄×C₁₉	—	2	1	no	—
296	C₂×C₄×C₁₉	—	2	2	no	—
297	C₂×C₄×C₁₉	—	2	2	no	—
298	C₂×C₄×C₁₉	—	2	2	no	—
299	C₂×C₄×C₁₉	—	2	1	no	—
300	C₂×C₄×C₁₉	—	2	1	no	—
301	C₂×C₄×C₁₉	—	2	1	no	—
302	C₂×C₄×C₁₉	—	2	1	no	—
303	C₂×C₄×C₁₉	—	4	1	no	—
304	C₂×C₄×C₁₉	—	4	1	no	—
305	C₂×C₄×C₁₉	—	4	1	no	—
306	C₂×C₄×C₁₉	—	4	1	no	—
307	C₂×C₄×C₁₉	—	4	1	no	—
308	C₂×C₄×C₁₉	—	4	1	no	—
309	C₂×C₄×C₁₉	—	4	1	no	—
310	C₂×C₄×C₁₉	—	4	1	no	—
311	C₂×C₄×C₁₉	—	4	1	no	—
312	C₂×C₄×C₁₉	—	4	1	no	—
313	C₂×C₄×C₁₉	—	4	1	no	—
314	C₂×C₄×C₁₉	—	8	1	no	—
315	C₂×C₄×C₁₉	—	8	1	no	—
316	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
317	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
318	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
319	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
320	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
321	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
323	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
324	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
325	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
326	C₈×C₁₉	—	2	1	no	—
327	C₈×C₁₉	—	2	1	no	—
328	C₈×C₁₉	—	2	1	no	—
329	C₈×C₁₉	—	2	1	no	—
330	C₈×C₁₉	—	2	2	no	—
331	C₈×C₁₉	—	2	1	no	—
332	C₈×C₁₉	—	2	2	no	—
333	C₈×C₁₉	—	2	1	no	—
334	C₈×C₁₉	—	4	1	no	—
335	C₈×C₁₉	—	4	1	no	—
336	C₈×C₁₉	#121	1	2	yes	—
337	C₈×C₁₉	#121	1	2	yes	—
338	#3035	C₂×C₁₉	1	1	yes	characteristic
339	C₂×#444	C₂×C₁₉	1	1	yes	characteristic, complemented
340	C₂×#443	C₂×C₁₉	1	1	yes	characteristic, complemented
341	#2932	C₂×C₁₉	1	1	yes	characteristic, complemented
342	#2875	C₂×C₁₉	1	1	yes	characteristic, complemented
343	#1980	C₂×C₁₉	1	1	yes	characteristic, complemented
344	#1950	C₂×C₁₉	1	1	yes	characteristic, complemented
345	#1929	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#1929	C₂×C₁₉	1	1	yes	characteristic, complemented
347	#1876	C₂×C₁₉	1	1	yes	characteristic, complemented
348	#1876	C₂×C₁₉	1	1	yes	characteristic, complemented
349	#1806	C₂×C₁₉	1	1	yes	characteristic, complemented
350	#1771	C₂×C₁₉	1	1	yes	characteristic, complemented
351	#1765	C₂×C₁₉	1	1	yes	characteristic, complemented
352	#1764	C₂×C₁₉	1	1	yes	characteristic, complemented
353	C₂²×C₁₉	—	2	1	no	—
354	C₂²×C₁₉	—	2	1	no	—
355	C₂²×C₁₉	—	2	2	no	—
356	C₂²×C₁₉	—	4	1	no	—
357	C₂²×C₁₉	—	4	1	no	—
358	C₂²×C₁₉	—	4	1	no	—
359	C₂²×C₁₉	—	4	1	no	—
360	C₂²×C₁₉	—	4	1	no	—
361	C₂²×C₁₉	—	4	1	no	—
362	C₂²×C₁₉	—	4	1	no	—
363	C₂²×C₁₉	—	4	1	no	—
364	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
365	C₂²×C₁₉	#529	1	1	yes	characteristic
366	C₂²×C₁₉	#532	1	1	yes	characteristic
367	C₄×C₁₉	—	2	1	no	—
368	C₄×C₁₉	—	2	1	no	—
369	C₄×C₁₉	—	2	1	no	—
370	C₄×C₁₉	—	2	1	no	—
371	C₄×C₁₉	—	2	2	no	—
372	C₄×C₁₉	—	4	2	no	—
373	C₄×C₁₉	—	4	1	no	—
374	C₄×C₁₉	—	4	1	no	—
375	C₄×C₁₉	—	4	1	no	—
376	C₄×C₁₉	—	4	1	no	—
377	C₄×C₁₉	—	8	1	no	—
378	C₄×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
379	C₄×C₁₉	C₄×#41	1	1	yes	characteristic
380	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
381	C₄×C₁₉	#525	1	1	yes	characteristic
382	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
383	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
384	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
385	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
386	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
387	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
388	#532	C₂²×C₁₉	1	1	yes	characteristic
389	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
390	#464	C₄×C₁₉	1	1	yes	characteristic, complemented
391	#464	C₄×C₁₉	1	1	yes	characteristic, complemented
392	#463	C₄×C₁₉	1	1	yes	characteristic, complemented
393	#463	C₄×C₁₉	1	1	yes	characteristic, complemented
394	#462	C₄×C₁₉	1	1	yes	characteristic, complemented
395	#461	C₄×C₁₉	1	1	yes	characteristic, complemented
396	#460	C₄×C₁₉	1	1	yes	characteristic, complemented
397	#459	C₄×C₁₉	1	1	yes	characteristic, complemented
398	#444	—	2	4	no	—
399	#443	—	2	4	no	—
400	#435	—	2	1	no	—
401	#435	—	2	1	no	—
402	#435	—	2	1	no	—
403	#435	—	2	1	no	—
404	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
405	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
406	#423	C₂²×C₁₉	1	1	yes	characteristic
407	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
408	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
409	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
410	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
411	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
412	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
414	#416	C₂²×C₁₉	1	1	yes	characteristic
415	#416	C₂²×C₁₉	1	1	yes	characteristic
416	#408	C₂²×C₁₉	1	1	yes	characteristic
417	#408	C₂²×C₁₉	1	1	yes	characteristic
418	#405	—	2	1	no	—
419	#405	—	2	1	no	—
420	#405	C₂²×C₁₉	1	1	yes	characteristic
421	#405	C₂²×C₁₉	1	1	yes	characteristic
422	C₄×M₁₆	—	2	1	no	—
423	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
424	C₂×#97	—	2	1	no	—
425	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
426	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
427	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
429	#341	C₂²×C₁₉	1	1	yes	characteristic
430	#341	C₂²×C₁₉	1	1	yes	characteristic
431	#339	C₂²×C₁₉	1	1	yes	characteristic
432	#339	C₂²×C₁₉	1	1	yes	characteristic
433	#336	C₂²×C₁₉	1	1	yes	characteristic
434	#336	C₂²×C₁₉	1	1	yes	characteristic
435	C₂×C₁₉	—	2	1	no	—
436	C₂×C₁₉	—	2	1	no	—
437	C₂×C₁₉	—	4	2	no	—
438	C₂×C₁₉	—	8	1	no	—
439	C₂×C₁₉	—	8	1	no	—
440	C₂×C₁₉	C₄×#121	1	1	yes	characteristic
441	C₂×C₁₉	#2956	1	1	yes	characteristic
442	C₂×C₁₉	#2957	1	1	yes	characteristic
443	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
444	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
445	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
446	#135	—	2	2	no	—
447	#135	—	2	2	no	—
448	#135	—	2	2	no	—
449	#135	—	2	2	no	—
450	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
451	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
452	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
453	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
454	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
455	C₂×SD₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
456	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
457	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
458	#131	—	2	2	no	—
459	#131	—	2	2	no	—
460	#131	—	2	2	no	—
461	#131	—	2	2	no	—
462	#131	—	2	2	no	—
463	#131	—	2	2	no	—
464	#131	—	2	2	no	—
465	#131	D₄×C₁₉	1	4	yes	complemented
466	C₂×M₁₆	—	2	1	no	—
467	C₂×M₁₆	—	2	1	no	—
468	C₂×M₁₆	—	2	1	no	—
469	C₂×M₁₆	—	2	1	no	—
470	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
471	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
472	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
473	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
474	C₂²×C₈	—	2	1	no	—
475	C₂²×C₈	—	2	1	no	—
476	C₂²×C₈	—	2	1	no	—
477	C₂²×C₈	—	2	1	no	—
478	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
479	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
480	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
481	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
482	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
483	#127	C₂×C₄×C₁₉	1	1	yes	characteristic
484	#124	C₂×C₄×C₁₉	1	1	yes	characteristic
485	#124	C₂×C₄×C₁₉	1	1	yes	characteristic
486	#121	—	2	1	no	—
487	#121	—	2	1	no	—
488	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
489	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
490	C₄×D₄	—	2	1	no	—
491	C₄×D₄	—	2	1	no	—
492	C₄×D₄	—	2	1	no	—
493	C₄×D₄	—	2	1	no	—
494	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
495	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
496	#117	—	2	1	no	—
497	#117	C₂³×C₁₉	1	1	yes	characteristic
498	C₂×C₄⋊C₄	—	2	1	no	—
499	C₂×C₄²	—	2	1	no	—
500	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
501	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
502	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
503	#108	—	2	2	no	—
504	#108	—	2	2	no	—
505	C₄⋊C₈	—	2	1	no	—
506	C₄⋊C₈	—	2	1	no	—
507	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
508	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
509	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
510	C₄⋊C₈	C₂×C₄×C₁₉	1	1	yes	characteristic
511	#104	—	2	2	no	—
512	#104	—	2	2	no	—
513	#104	—	2	2	no	—
514	#104	—	2	2	no	—
515	#104	—	2	2	no	—
516	#104	—	2	2	no	—
517	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
518	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
519	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
520	#103	C₂×C₄×C₁₉	1	1	yes	characteristic
521	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
522	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
523	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
524	#102	C₂×C₄×C₁₉	1	1	yes	characteristic
525	C₂²⋊C₈	—	2	1	no	—
526	C₂²⋊C₈	—	2	1	no	—
527	C₂²⋊C₈	—	2	1	no	—
528	C₂²⋊C₈	—	2	1	no	—
529	#97	—	2	1	no	—
530	#97	—	2	1	no	—
531	#97	—	2	2	no	—
532	#97	—	2	1	no	—
533	#97	D₄×C₁₉	1	1	yes	characteristic
534	#97	D₄×C₁₉	1	1	yes	characteristic
535	#97	D₄×C₁₉	1	1	yes	characteristic
536	#97	D₄×C₁₉	1	1	yes	characteristic
537	C₄×C₈	—	2	2	no	—
538	C₄×C₈	—	2	1	no	—
539	C₄×C₈	—	2	1	no	—
540	C₄×C₈	—	2	1	no	—
541	#95	—	2	1	no	—
542	C₁₉	#21519	1	1	yes	characteristic, direct product factor, Sylow
543	#41	—	2	1	no	—
544	#41	—	2	1	no	—
545	#41	—	2	1	no	—
546	#41	—	2	1	no	—
547	#41	—	2	1	no	—
548	#41	—	2	1	no	—
549	#41	—	2	1	no	—
550	#41	—	2	1	no	—
551	#41	—	2	1	no	—
552	#41	—	2	1	no	—
553	#41	C₂×D₄×C₁₉	1	2	yes	—
554	#41	#41×C₁₉	1	2	yes	—
555	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
556	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
557	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
564	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
565	C₂×D₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
574	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
575	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
576	Q₁₆	—	2	2	no	—
577	Q₁₆	—	2	2	no	—
578	SD₁₆	—	2	2	no	—
579	SD₁₆	—	2	2	no	—
580	SD₁₆	—	2	2	no	—
581	SD₁₆	—	2	2	no	—
582	D₈	—	2	2	no	—
583	D₈	—	2	2	no	—
584	M₁₆	—	2	4	no	—
585	M₁₆	—	2	1	no	—
586	M₁₆	—	2	1	no	—
587	M₁₆	—	2	4	no	—
588	M₁₆	—	2	1	no	—
589	M₁₆	—	2	1	no	—
590	M₁₆	—	2	1	no	—
591	M₁₆	—	2	1	no	—
592	M₁₆	—	4	2	no	—
593	M₁₆	—	4	2	no	—
594	M₁₆	C₂×D₄×C₁₉	1	2	yes	—
595	M₁₆	#41×C₁₉	1	2	yes	—
596	C₂×C₈	—	2	4	no	—
597	C₂×C₈	—	2	1	no	—
598	C₂×C₈	—	2	1	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	4	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	4	2	no	—
609	C₂×C₈	—	4	2	no	—
610	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
611	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
612	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
613	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
614	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
615	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
616	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
617	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
618	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
619	C₂×C₈	#41×C₁₉	1	2	yes	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	4	2	no	—
625	C₄⋊C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
626	C₄⋊C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
627	C₂²⋊C₄	—	2	1	no	—
628	C₂²⋊C₄	—	2	1	no	—
629	C₂²⋊C₄	—	2	1	no	—
630	C₂²⋊C₄	—	2	1	no	—
631	C₂²⋊C₄	—	2	1	no	—
632	C₂²⋊C₄	—	2	1	no	—
633	C₂²⋊C₄	—	2	1	no	—
634	C₄²	—	2	1	no	—
635	C₄²	—	2	1	no	—
636	C₄²	—	2	1	no	—
637	C₄²	—	2	1	no	—
638	C₄²	—	2	1	no	—
639	C₄²	—	2	1	no	—
640	C₄²	—	2	1	no	—
641	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
642	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
643	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
644	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
649	Q₈	—	2	1	no	—
650	Q₈	—	2	1	no	—
651	Q₈	—	2	1	no	—
652	Q₈	—	2	1	no	—
653	Q₈	—	2	1	no	—
654	Q₈	C₄×D₄×C₁₉	1	2	yes	—
655	D₄	—	2	2	no	—
656	D₄	—	2	2	no	—
657	D₄	—	2	1	no	—
658	D₄	—	2	1	no	—
659	D₄	—	2	1	no	—
660	D₄	—	2	1	no	—
661	D₄	—	2	1	no	—
662	D₄	—	4	1	no	—
663	D₄	—	4	1	no	—
664	D₄	—	4	1	no	—
665	D₄	—	4	1	no	—
666	D₄	—	8	1	no	—
667	D₄	—	8	1	no	—
668	D₄	C₄×D₄×C₁₉	1	2	yes	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	4	1	no	—
678	C₂×C₄	—	4	1	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	8	1	no	—
689	C₂×C₄	—	8	1	no	—
690	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
691	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
692	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
693	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
694	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
695	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
696	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
697	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
698	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
699	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
700	C₈	—	2	1	no	—
701	C₈	—	2	1	no	—
702	C₈	—	2	1	no	—
703	C₈	—	2	1	no	—
704	C₈	—	2	2	no	—
705	C₈	—	2	1	no	—
706	C₈	—	2	2	no	—
707	C₈	—	2	1	no	—
708	C₈	—	4	1	no	—
709	C₈	—	4	1	no	—
710	C₈	C₁₉×#121	1	2	yes	—
711	C₈	C₁₉×#121	1	2	yes	—
712	C₂²	—	2	1	no	—
713	C₂²	—	2	1	no	—
714	C₂²	—	2	2	no	—
715	C₂²	—	4	1	no	—
716	C₂²	—	4	1	no	—
717	C₂²	—	4	1	no	—
718	C₂²	—	4	1	no	—
719	C₂²	—	4	1	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	4	1	no	—
723	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
724	C₂²	C₁₉×#529	1	1	yes	characteristic
725	C₂²	C₁₉×#532	1	1	yes	characteristic
726	C₄	—	2	1	no	—
727	C₄	—	2	1	no	—
728	C₄	—	2	1	no	—
729	C₄	—	2	1	no	—
730	C₄	—	2	2	no	—
731	C₄	—	4	2	no	—
732	C₄	—	4	1	no	—
733	C₄	—	4	1	no	—
734	C₄	—	4	1	no	—
735	C₄	—	4	1	no	—
736	C₄	—	8	1	no	—
737	C₄	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
738	C₄	C₄×#41×C₁₉	1	1	yes	characteristic
739	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
740	C₄	C₁₉×#525	1	1	yes	characteristic
741	C₂	—	2	1	no	—
742	C₂	—	2	1	no	—
743	C₂	—	4	2	no	—
744	C₂	—	8	1	no	—
745	C₂	—	8	1	no	—
746	C₂	C₄×C₁₉×#121	1	1	yes	characteristic
747	C₂	C₁₉×#2956	1	1	yes	characteristic
748	C₂	C₁₉×#2957	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
socle	C₂²×C₁₉	C₂×C₄×D₄
prime radical	C₁₉×#3035	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₂×C₁₉×#97 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#444	C₂	semidirect
3. C₂×C₁₉×#443	C₂	semidirect
4. C₁₉×#2932	C₂	semidirect
5. C₁₉×#2875	C₂	semidirect
6. C₁₉×#1980	C₂	semidirect
7. C₁₉×#1950	C₂	semidirect
8. C₁₉×#1929	C₂	semidirect
9. C₁₉×#1929	C₂	semidirect
10. C₁₉×#1876	C₂	semidirect
11. C₁₉×#1876	C₂	semidirect
12. C₁₉×#1806	C₂	semidirect
13. C₁₉×#1771	C₂	semidirect
14. C₁₉×#1765	C₂	semidirect
15. C₁₉×#1764	C₂	semidirect
24. C₁₉×#464	C₄	semidirect
25. C₁₉×#464	C₄	semidirect
26. C₁₉×#463	C₄	semidirect
27. C₁₉×#463	C₄	semidirect
28. C₁₉×#462	C₄	semidirect
29. C₁₉×#461	C₄	semidirect
30. C₁₉×#460	C₄	semidirect
31. C₁₉×#459	C₄	semidirect
91. C₁₉×#131	D₄	semidirect
270. #21519	C₁₉	direct (N × H)
339. C₂×#444	C₂×C₁₉	semidirect
340. C₂×#443	C₂×C₁₉	semidirect
341. #2932	C₂×C₁₉	semidirect
342. #2875	C₂×C₁₉	semidirect
343. #1980	C₂×C₁₉	semidirect
344. #1950	C₂×C₁₉	semidirect
345. #1929	C₂×C₁₉	semidirect
346. #1929	C₂×C₁₉	semidirect
347. #1876	C₂×C₁₉	semidirect
348. #1876	C₂×C₁₉	semidirect
349. #1806	C₂×C₁₉	semidirect
350. #1771	C₂×C₁₉	semidirect
351. #1765	C₂×C₁₉	semidirect
352. #1764	C₂×C₁₉	semidirect
390. #464	C₄×C₁₉	semidirect
391. #464	C₄×C₁₉	semidirect
392. #463	C₄×C₁₉	semidirect
393. #463	C₄×C₁₉	semidirect
394. #462	C₄×C₁₉	semidirect
395. #461	C₄×C₁₉	semidirect
396. #460	C₄×C₁₉	semidirect
397. #459	C₄×C₁₉	semidirect
465. #131	D₄×C₁₉	semidirect
542. C₁₉	#21519	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×#3035	2
C₂×C₁₉×#444	2
C₂×C₁₉×#443	2
C₁₉×#2932	2
C₁₉×#2875	2
C₁₉×#1980	2
C₁₉×#1950	2
C₁₉×#1929	2
C₁₉×#1876	2
C₁₉×#1806	2
C₁₉×#1771	2
C₁₉×#1765	2
C₁₉×#1764	2
#21519	19

Subgroups — C19×#21519 #18027478

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#21519 #18027478