Subgroups — C₁₉×#20803 #18026762

Order 4864.

1070 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#428	C₂	1	2	yes	maximal
2	C₂×C₁₉×#427	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₉×#107	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₉×#405	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#2317	C₂	1	2	yes	maximal
6	C₁₉×#1847	C₂	1	4	yes	maximal, complemented
7	C₁₉×#1846	C₂	1	2	yes	maximal, complemented
8	C₁₉×#1845	C₂	1	2	yes	maximal, complemented
9	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
10	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×#117	C₂²	1	2	yes	—
12	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
14	C₁₉×#428	—	2	8	no	—
15	C₁₉×#427	—	2	4	no	—
16	C₂×C₁₉×#107	—	2	4	no	—
17	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#107	C₂²	1	2	yes	—
19	C₂×C₁₉×#107	C₂²	1	4	yes	—
20	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#107	C₂²	1	2	yes	—
22	C₂×C₁₉×#106	C₂²	1	4	yes	—
23	C₂×C₁₉×#106	C₂²	1	2	yes	—
24	C₁₉×#405	C₄	1	8	yes	complemented
25	C₂×C₁₉×#97	C₂²	1	2	yes	—
26	C₂×C₄×C₈×C₁₉	C₂²	1	2	yes	—
27	C₁₉×#389	—	2	4	no	—
28	C₁₉×#385	—	2	4	no	—
29	C₁₉×#384	C₂²	1	4	yes	—
30	C₁₉×#382	C₂²	1	4	yes	—
31	C₂³×C₄×C₁₉	—	2	2	no	—
32	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
33	C₂×M₁₆×C₁₉	C₂×C₄	1	4	yes	—
34	C₂×M₁₆×C₁₉	D₄	1	4	yes	—
35	C₂×M₁₆×C₁₉	Q₈	1	4	yes	—
36	C₂²×C₈×C₁₉	C₂×C₄	1	4	yes	—
37	C₂²×C₈×C₁₉	D₄	1	4	yes	—
38	C₂²×C₈×C₁₉	Q₈	1	4	yes	—
39	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
41	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
42	C₁₉×#117	—	2	4	no	—
43	C₁₉×#117	—	2	4	no	—
44	C₁₉×#117	C₂×C₄	1	4	yes	—
45	C₁₉×#117	Q₈	1	4	yes	—
46	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
47	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
48	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
49	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
50	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
51	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
52	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
54	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
55	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
56	C₂×C₄²×C₁₉	—	2	2	no	—
57	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
58	C₁₉×#107	—	2	4	no	—
59	C₁₉×#107	—	2	4	no	—
60	C₁₉×#107	—	2	2	no	—
61	C₁₉×#107	—	2	2	no	—
62	C₁₉×#107	—	2	8	no	—
63	C₁₉×#106	—	2	4	no	—
64	C₁₉×#106	—	2	8	no	—
65	C₁₉×#97	C₂×C₄	1	8	yes	complemented
66	C₄×C₈×C₁₉	C₂×C₄	1	8	yes	complemented
67	C₁₉×#95	—	2	8	no	—
68	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₄×C₁₉	—	2	2	no	—
70	C₂²×C₄×C₁₉	—	2	2	no	—
71	C₂²×C₄×C₁₉	—	2	4	no	—
72	C₂²×C₄×C₁₉	—	4	4	no	—
73	C₂²×C₄×C₁₉	—	8	4	no	—
74	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
75	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
76	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
79	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
80	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
81	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
82	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
83	M₁₆×C₁₉	C₄⋊C₄	1	16	yes	complemented
84	C₂×C₈×C₁₉	C₄⋊C₄	1	16	yes	complemented
85	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
86	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
87	C₂×C₈×C₁₉	C₂²×C₄	1	4	yes	—
88	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
89	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
90	C₂×C₈×C₁₉	C₂×D₄	1	4	yes	—
91	C₂×C₈×C₁₉	C₂×Q₈	1	2	yes	—
92	C₂×C₈×C₁₉	C₂×Q₈	1	2	yes	—
93	C₂×C₈×C₁₉	C₂×Q₈	1	4	yes	—
94	C₄⋊C₄×C₁₉	—	2	4	no	—
95	C₄⋊C₄×C₁₉	—	2	4	no	—
96	C₄⋊C₄×C₁₉	—	2	2	no	—
97	C₄⋊C₄×C₁₉	—	2	2	no	—
98	C₄⋊C₄×C₁₉	—	2	2	no	—
99	C₄⋊C₄×C₁₉	—	2	2	no	—
100	C₄⋊C₄×C₁₉	—	4	4	no	—
101	C₄⋊C₄×C₁₉	—	8	8	no	—
102	C₄⋊C₄×C₁₉	C₄⋊C₄	1	8	yes	—
103	C₂²⋊C₄×C₁₉	—	4	4	no	—
104	C₂²⋊C₄×C₁₉	C₄⋊C₄	1	8	yes	—
105	C₄²×C₁₉	—	4	4	no	—
106	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
107	C₄²×C₁₉	C₂×Q₈	1	4	yes	—
108	#20803	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂³×C₁₉	—	2	2	no	—
110	C₂³×C₁₉	—	2	2	no	—
111	C₂³×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
112	C₂³×C₁₉	#127	1	2	yes	—
113	C₂³×C₁₉	C₄⋊Q₈	1	2	yes	—
114	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
115	C₂×C₄×C₁₉	—	2	4	no	—
116	C₂×C₄×C₁₉	—	2	4	no	—
117	C₂×C₄×C₁₉	—	4	2	no	—
118	C₂×C₄×C₁₉	—	4	2	no	—
119	C₂×C₄×C₁₉	—	4	4	no	—
120	C₂×C₄×C₁₉	—	4	4	no	—
121	C₂×C₄×C₁₉	—	4	8	no	—
122	C₂×C₄×C₁₉	—	4	4	no	—
123	C₂×C₄×C₁₉	—	8	8	no	—
124	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	8	yes	—
125	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
126	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
127	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
128	C₂×C₄×C₁₉	#127	1	2	yes	—
129	C₂×C₄×C₁₉	C₄⋊Q₈	1	4	yes	—
130	C₂×C₄×C₁₉	C₄⋊Q₈	1	4	yes	—
131	C₂×C₄×C₁₉	C₄⋊Q₈	1	2	yes	—
132	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
133	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
134	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
135	C₂×C₄×C₁₉	C₂²×Q₈	1	1	yes	characteristic
136	C₂×C₄×C₁₉	C₂²×Q₈	1	1	yes	characteristic
137	C₂×C₄×C₁₉	C₂²×Q₈	1	1	yes	characteristic
138	C₈×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
139	C₈×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
140	C₈×C₁₉	C₂×C₄⋊C₄	1	8	yes	—
141	C₂×#428	C₂×C₁₉	1	2	yes	—
142	C₂×#427	C₂×C₁₉	1	1	yes	characteristic
143	C₂²×#107	C₂×C₁₉	1	1	yes	characteristic
144	C₂×#405	C₂×C₁₉	1	1	yes	characteristic
145	#2317	C₂×C₁₉	1	2	yes	—
146	#1847	C₂×C₁₉	1	4	yes	complemented
147	#1846	C₂×C₁₉	1	2	yes	complemented
148	#1845	C₂×C₁₉	1	2	yes	complemented
149	C₂²×C₁₉	—	2	2	no	—
150	C₂²×C₁₉	—	2	2	no	—
151	C₂²×C₁₉	—	2	4	no	—
152	C₂²×C₁₉	—	2	4	no	—
153	C₂²×C₁₉	#384	1	4	yes	—
154	C₂²×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
155	C₂²×C₁₉	C₂×#127	1	1	yes	characteristic
156	C₂²×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
157	C₂²×C₁₉	#576	1	2	yes	—
158	C₂²×C₁₉	#578	1	2	yes	—
159	C₄×C₁₉	—	2	8	no	—
160	C₄×C₁₉	—	8	2	no	—
161	C₄×C₁₉	—	8	4	no	—
162	C₄×C₁₉	—	8	2	no	—
163	C₄×C₁₉	#384	1	4	yes	—
164	C₄×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
165	C₄×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
166	C₄×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
167	C₄×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
168	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
169	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
170	C₂×#117	C₂²×C₁₉	1	2	yes	—
171	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
172	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
173	#428	—	2	8	no	—
174	#427	—	2	4	no	—
175	C₂×#107	—	2	4	no	—
176	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
177	C₂×#107	C₂²×C₁₉	1	2	yes	—
178	C₂×#107	C₂²×C₁₉	1	4	yes	—
179	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
180	C₂×#107	C₂²×C₁₉	1	2	yes	—
181	C₂×#106	C₂²×C₁₉	1	4	yes	—
182	C₂×#106	C₂²×C₁₉	1	2	yes	—
183	#405	C₄×C₁₉	1	8	yes	complemented
184	C₂×#97	C₂²×C₁₉	1	2	yes	—
185	C₂×C₄×C₈	C₂²×C₁₉	1	2	yes	—
186	#389	—	2	4	no	—
187	#385	—	2	4	no	—
188	#384	C₂²×C₁₉	1	4	yes	—
189	#382	C₂²×C₁₉	1	4	yes	—
190	C₂×C₁₉	—	2	4	no	—
191	C₂×C₁₉	C₂×#384	1	1	yes	characteristic
192	C₂×C₁₉	#2913	1	2	yes	—
193	C₂×C₁₉	#3155	1	1	yes	characteristic
194	C₂×C₁₉	#3156	1	1	yes	characteristic
195	C₂×C₁₉	#3164	1	2	yes	—
196	C₂³×C₄	—	2	2	no	—
197	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
198	C₂×M₁₆	C₂×C₄×C₁₉	1	4	yes	—
199	C₂×M₁₆	D₄×C₁₉	1	4	yes	—
200	C₂×M₁₆	Q₈×C₁₉	1	4	yes	—
201	C₂²×C₈	C₂×C₄×C₁₉	1	4	yes	—
202	C₂²×C₈	D₄×C₁₉	1	4	yes	—
203	C₂²×C₈	Q₈×C₁₉	1	4	yes	—
204	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
205	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
206	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
207	#117	—	2	4	no	—
208	#117	—	2	4	no	—
209	#117	C₂×C₄×C₁₉	1	4	yes	—
210	#117	Q₈×C₁₉	1	4	yes	—
211	C₂×C₄⋊C₄	—	2	4	no	—
212	C₂×C₄⋊C₄	—	2	4	no	—
213	C₂×C₄⋊C₄	—	2	2	no	—
214	C₂×C₄⋊C₄	—	2	8	no	—
215	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
216	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
217	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
218	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
219	C₂×C₂²⋊C₄	—	2	2	no	—
220	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
221	C₂×C₄²	—	2	2	no	—
222	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
223	#107	—	2	4	no	—
224	#107	—	2	4	no	—
225	#107	—	2	2	no	—
226	#107	—	2	2	no	—
227	#107	—	2	8	no	—
228	#106	—	2	4	no	—
229	#106	—	2	8	no	—
230	#97	C₂×C₄×C₁₉	1	8	yes	complemented
231	C₄×C₈	C₂×C₄×C₁₉	1	8	yes	complemented
232	#95	—	2	8	no	—
233	C₁₉	#20803	1	1	yes	characteristic, direct product factor, Sylow
234	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	4	no	—
237	C₂²×C₄	—	2	2	no	—
238	C₂²×C₄	—	4	4	no	—
239	C₂²×C₄	—	8	4	no	—
240	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
241	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
242	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
243	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
244	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
245	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
246	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
247	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
248	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
249	M₁₆	C₄⋊C₄×C₁₉	1	16	yes	complemented
250	C₂×C₈	C₄⋊C₄×C₁₉	1	16	yes	complemented
251	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
252	C₂×C₈	C₂²×C₄×C₁₉	1	4	yes	—
253	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
254	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
255	C₂×C₈	C₂×D₄×C₁₉	1	4	yes	—
256	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
257	C₂×C₈	C₂×Q₈×C₁₉	1	2	yes	—
258	C₂×C₈	C₂×Q₈×C₁₉	1	2	yes	—
259	C₂×C₈	C₂×Q₈×C₁₉	1	4	yes	—
260	C₄⋊C₄	—	2	2	no	—
261	C₄⋊C₄	—	2	4	no	—
262	C₄⋊C₄	—	2	2	no	—
263	C₄⋊C₄	—	2	2	no	—
264	C₄⋊C₄	—	2	4	no	—
265	C₄⋊C₄	—	2	2	no	—
266	C₄⋊C₄	—	4	4	no	—
267	C₄⋊C₄	—	8	8	no	—
268	C₄⋊C₄	C₄⋊C₄×C₁₉	1	8	yes	—
269	C₂²⋊C₄	—	4	4	no	—
270	C₂²⋊C₄	C₄⋊C₄×C₁₉	1	8	yes	—
271	C₄²	—	4	4	no	—
272	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
273	C₄²	C₂×Q₈×C₁₉	1	4	yes	—
274	C₂³	—	2	2	no	—
275	C₂³	—	2	2	no	—
276	C₂³	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
277	C₂³	C₁₉×#127	1	2	yes	—
278	C₂³	C₁₉×C₄⋊Q₈	1	2	yes	—
279	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	4	2	no	—
283	C₂×C₄	—	4	2	no	—
284	C₂×C₄	—	4	4	no	—
285	C₂×C₄	—	4	4	no	—
286	C₂×C₄	—	4	8	no	—
287	C₂×C₄	—	4	4	no	—
288	C₂×C₄	—	8	8	no	—
289	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	8	yes	—
290	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
291	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
292	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
293	C₂×C₄	C₁₉×#127	1	2	yes	—
294	C₂×C₄	C₁₉×C₄⋊Q₈	1	2	yes	—
295	C₂×C₄	C₁₉×C₄⋊Q₈	1	4	yes	—
296	C₂×C₄	C₁₉×C₄⋊Q₈	1	4	yes	—
297	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
298	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
299	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
300	C₂×C₄	C₂²×Q₈×C₁₉	1	1	yes	characteristic
301	C₂×C₄	C₂²×Q₈×C₁₉	1	1	yes	characteristic
302	C₂×C₄	C₂²×Q₈×C₁₉	1	1	yes	characteristic
303	C₈	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
304	C₈	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
305	C₈	C₂×C₄⋊C₄×C₁₉	1	8	yes	—
306	C₂²	—	2	4	no	—
307	C₂²	—	2	2	no	—
308	C₂²	—	2	2	no	—
309	C₂²	—	2	4	no	—
310	C₂²	C₁₉×#384	1	4	yes	—
311	C₂²	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
312	C₂²	C₂×C₁₉×#127	1	1	yes	characteristic
313	C₂²	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
314	C₂²	C₁₉×#576	1	2	yes	—
315	C₂²	C₁₉×#578	1	2	yes	—
316	C₄	—	2	8	no	—
317	C₄	—	8	4	no	—
318	C₄	—	8	2	no	—
319	C₄	—	8	2	no	—
320	C₄	C₁₉×#384	1	4	yes	—
321	C₄	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
322	C₄	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
323	C₄	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
324	C₄	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
325	C₂	—	2	4	no	—
326	C₂	C₂×C₁₉×#384	1	1	yes	characteristic
327	C₂	C₁₉×#2913	1	2	yes	—
328	C₂	C₁₉×#3155	1	1	yes	characteristic
329	C₂	C₁₉×#3156	1	1	yes	characteristic
330	C₂	C₁₉×#3164	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂⁴×C₁₉	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₁₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
6. C₁₉×#1847	C₂	semidirect
7. C₁₉×#1846	C₂	semidirect
8. C₁₉×#1845	C₂	semidirect
24. C₁₉×#405	C₄	semidirect
65. C₁₉×#97	C₂×C₄	semidirect
66. C₄×C₈×C₁₉	C₂×C₄	semidirect
83. M₁₆×C₁₉	C₄⋊C₄	semidirect
84. C₂×C₈×C₁₉	C₄⋊C₄	semidirect
108. #20803	C₁₉	direct (N × H)
146. #1847	C₂×C₁₉	semidirect
147. #1846	C₂×C₁₉	semidirect
148. #1845	C₂×C₁₉	semidirect
183. #405	C₄×C₁₉	semidirect
230. #97	C₂×C₄×C₁₉	semidirect
231. C₄×C₈	C₂×C₄×C₁₉	semidirect
233. C₁₉	#20803	direct (N × H)
249. M₁₆	C₄⋊C₄×C₁₉	semidirect
250. C₂×C₈	C₄⋊C₄×C₁₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₉×#428	2
C₂×C₁₉×#427	2
C₂²×C₁₉×#107	2
C₂×C₁₉×#405	2
C₁₉×#2317	2
C₁₉×#1847	2
C₁₉×#1846	2
C₁₉×#1845	2
#20803	19

Subgroups — C19×#20803 #18026762

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#20803 #18026762