Subgroups — C₁₉×#32982 #18038941

Order 4864.

1734 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₄⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#483	C₂	1	2	yes	maximal, complemented
3	C₁₉×#2848	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1872	C₂	1	4	yes	maximal, complemented
5	C₁₉×#1853	C₂	1	4	yes	maximal, complemented
6	C₁₉×#1823	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1779	C₂	1	1	yes	maximal, characteristic
8	C₂⁴×C₄×C₁₉	—	2	1	no	—
9	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
10	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
12	C₂²×C₄⋊C₄×C₁₉	—	2	1	no	—
13	C₂²×C₄⋊C₄×C₁₉	—	2	2	no	—
14	C₂²×C₄⋊C₄×C₁₉	—	2	8	no	—
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
16	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
17	C₁₉×#483	—	2	8	no	—
18	C₂×C₁₉×#106	C₂²	1	4	yes	complemented
19	C₂×C₁₉×#103	C₂²	1	4	yes	complemented
20	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
21	C₂×C₁₉×C₂²⋊C₈	C₂²	1	4	yes	—
22	C₁₉×#385	—	2	1	no	—
23	C₁₉×#385	—	2	2	no	—
24	C₁₉×#380	C₂²	1	1	yes	characteristic
25	C₁₉×#380	C₂²	1	2	yes	—
26	C₁₉×#379	—	2	1	no	—
27	C₁₉×#340	C₂²	1	8	yes	complemented
28	C₂⁵×C₁₉	D₄	1	1	yes	characteristic
29	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
30	C₂³×C₄×C₁₉	—	2	4	no	—
31	C₂³×C₄×C₁₉	—	2	8	no	—
32	C₂³×C₄×C₁₉	—	2	8	no	—
33	C₂³×C₄×C₁₉	—	2	4	no	—
34	C₂³×C₄×C₁₉	—	2	2	no	—
35	C₂³×C₄×C₁₉	—	4	4	no	—
36	C₂³×C₄×C₁₉	—	4	4	no	—
37	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
38	C₂³×C₄×C₁₉	D₄	1	2	yes	—
39	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
40	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
41	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
42	C₁₉×C₂²⋊Q₈	—	2	4	no	—
43	C₁₉×C₂²⋊Q₈	—	2	8	no	—
44	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
45	C₂×C₄⋊C₄×C₁₉	—	2	16	no	—
46	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
47	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
48	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
49	C₂×C₄⋊C₄×C₁₉	—	2	16	no	—
50	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
51	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
52	C₂×C₄⋊C₄×C₁₉	D₄	1	8	yes	—
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
54	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
55	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
56	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
57	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
58	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
59	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
60	C₁₉×#106	—	2	8	no	—
61	C₁₉×#103	—	2	8	no	—
62	C₁₉×C₂²⋊C₈	—	2	4	no	—
63	C₁₉×C₂²⋊C₈	—	2	8	no	—
64	C₁₉×#95	—	2	1	no	—
65	C₁₉×#95	—	2	2	no	—
66	C₂⁴×C₁₉	—	2	2	no	—
67	C₂⁴×C₁₉	—	2	4	no	—
68	C₂⁴×C₁₉	—	2	2	no	—
69	C₂⁴×C₁₉	—	2	4	no	—
70	C₂⁴×C₁₉	SD₁₆	1	4	yes	—
71	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
72	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
73	C₂×Q₈×C₁₉	—	2	2	no	—
74	C₂×Q₈×C₁₉	—	2	4	no	—
75	C₂²×C₄×C₁₉	—	2	32	no	—
76	C₂²×C₄×C₁₉	—	2	2	no	—
77	C₂²×C₄×C₁₉	—	2	4	no	—
78	C₂²×C₄×C₁₉	—	2	4	no	—
79	C₂²×C₄×C₁₉	—	2	4	no	—
80	C₂²×C₄×C₁₉	—	2	4	no	—
81	C₂²×C₄×C₁₉	—	2	4	no	—
82	C₂²×C₄×C₁₉	—	2	4	no	—
83	C₂²×C₄×C₁₉	—	2	4	no	—
84	C₂²×C₄×C₁₉	—	2	16	no	—
85	C₂²×C₄×C₁₉	—	2	8	no	—
86	C₂²×C₄×C₁₉	—	2	4	no	—
87	C₂²×C₄×C₁₉	—	2	1	no	—
88	C₂²×C₄×C₁₉	—	2	1	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	—	4	8	no	—
91	C₂²×C₄×C₁₉	—	4	32	no	—
92	C₂²×C₄×C₁₉	—	4	8	no	—
93	C₂²×C₄×C₁₉	—	4	4	no	—
94	C₂²×C₄×C₁₉	—	4	4	no	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
97	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₁₉	#41	1	8	yes	—
99	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
100	C₂×C₈×C₁₉	—	2	4	no	—
101	C₂×C₈×C₁₉	—	2	8	no	—
102	C₄⋊C₄×C₁₉	—	2	16	no	—
103	C₄⋊C₄×C₁₉	—	2	8	no	—
104	C₄⋊C₄×C₁₉	—	2	4	no	—
105	C₄⋊C₄×C₁₉	—	2	2	no	—
106	C₄⋊C₄×C₁₉	—	2	4	no	—
107	C₄⋊C₄×C₁₉	—	4	2	no	—
108	C₄⋊C₄×C₁₉	—	4	4	no	—
109	C₄⋊C₄×C₁₉	C₂×D₄	1	8	yes	—
110	C₂²⋊C₄×C₁₉	—	4	2	no	—
111	C₂²⋊C₄×C₁₉	—	4	4	no	—
112	C₂²⋊C₄×C₁₉	—	4	2	no	—
113	C₂²⋊C₄×C₁₉	—	4	4	no	—
114	#32982	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
115	C₂³×C₁₉	—	2	8	no	—
116	C₂³×C₁₉	—	2	16	no	—
117	C₂³×C₁₉	—	2	8	no	—
118	C₂³×C₁₉	—	2	2	no	—
119	C₂³×C₁₉	—	2	2	no	—
120	C₂³×C₁₉	—	2	2	no	—
121	C₂³×C₁₉	—	2	2	no	—
122	C₂³×C₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	2	2	no	—
124	C₂³×C₁₉	—	2	8	no	—
125	C₂³×C₁₉	—	2	16	no	—
126	C₂³×C₁₉	#120	1	2	yes	—
127	C₂³×C₁₉	#123	1	4	yes	—
128	C₂³×C₁₉	C₂×SD₁₆	1	2	yes	—
129	C₂³×C₁₉	C₂×SD₁₆	1	4	yes	—
130	C₂³×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
131	C₂³×C₁₉	#137	1	4	yes	—
132	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₁₉	—	4	4	no	—
134	C₂×C₄×C₁₉	—	2	16	no	—
135	C₂×C₄×C₁₉	—	2	8	no	—
136	C₂×C₄×C₁₉	—	2	2	no	—
137	C₂×C₄×C₁₉	—	2	2	no	—
138	C₂×C₄×C₁₉	—	2	2	no	—
139	C₂×C₄×C₁₉	—	2	8	no	—
140	C₂×C₄×C₁₉	—	2	16	no	—
141	C₂×C₄×C₁₉	—	2	8	no	—
142	C₂×C₄×C₁₉	—	4	32	no	—
143	C₂×C₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	4	4	no	—
145	C₂×C₄×C₁₉	—	4	16	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	2	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	4	2	no	—
152	C₂×C₄×C₁₉	—	4	2	no	—
153	C₂×C₄×C₁₉	#120	1	2	yes	—
154	C₂×C₄×C₁₉	#123	1	4	yes	—
155	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
156	C₂×C₄×C₁₉	C₂×#41	1	4	yes	—
157	C₈×C₁₉	—	4	4	no	—
158	C₂³×C₄⋊C₄	C₂×C₁₉	1	1	yes	characteristic
159	C₂×#483	C₂×C₁₉	1	2	yes	complemented
160	#2848	C₂×C₁₉	1	1	yes	characteristic
161	#1872	C₂×C₁₉	1	4	yes	complemented
162	#1853	C₂×C₁₉	1	4	yes	complemented
163	#1823	C₂×C₁₉	1	2	yes	complemented
164	#1779	C₂×C₁₉	1	1	yes	characteristic
165	C₂²×C₁₉	—	2	32	no	—
166	C₂²×C₁₉	—	2	4	no	—
167	C₂²×C₁₉	—	2	4	no	—
168	C₂²×C₁₉	—	2	4	no	—
169	C₂²×C₁₉	—	2	4	no	—
170	C₂²×C₁₉	—	2	4	no	—
171	C₂²×C₁₉	—	2	2	no	—
172	C₂²×C₁₉	—	2	4	no	—
173	C₂²×C₁₉	—	2	4	no	—
174	C₂²×C₁₉	—	2	2	no	—
175	C₂²×C₁₉	—	2	4	no	—
176	C₂²×C₁₉	#450	1	4	yes	—
177	C₂²×C₁₉	#483	1	8	yes	complemented
178	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
179	C₂²×C₁₉	C₂×#123	1	2	yes	—
180	C₂²×C₁₉	C₂²×SD₁₆	1	1	yes	characteristic
181	C₂²×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
182	C₂²×C₁₉	C₂×#137	1	2	yes	—
183	C₄×C₁₉	—	2	2	no	—
184	C₄×C₁₉	—	2	4	no	—
185	C₄×C₁₉	—	4	8	no	—
186	C₄×C₁₉	—	8	2	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	—	8	1	no	—
189	C₄×C₁₉	#525	1	4	yes	—
190	C₂⁴×C₄	—	2	1	no	—
191	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
192	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
193	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
194	C₂²×C₄⋊C₄	—	2	1	no	—
195	C₂²×C₄⋊C₄	—	2	2	no	—
196	C₂²×C₄⋊C₄	—	2	8	no	—
197	C₂²×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
198	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
199	#483	—	2	8	no	—
200	C₂×#106	C₂²×C₁₉	1	4	yes	complemented
201	C₂×#103	C₂²×C₁₉	1	4	yes	complemented
202	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
203	C₂×C₂²⋊C₈	C₂²×C₁₉	1	4	yes	—
204	#385	—	2	2	no	—
205	#385	—	2	1	no	—
206	#380	C₂²×C₁₉	1	1	yes	characteristic
207	#380	C₂²×C₁₉	1	2	yes	—
208	#379	—	2	1	no	—
209	#340	C₂²×C₁₉	1	8	yes	complemented
210	C₂×C₁₉	—	2	4	no	—
211	C₂×C₁₉	—	2	8	no	—
212	C₂×C₁₉	#2849	1	1	yes	characteristic
213	C₂×C₁₉	C₂×#450	1	1	yes	characteristic
214	C₂×C₁₉	#3004	1	1	yes	characteristic
215	C₂×C₁₉	C₂×#483	1	2	yes	—
216	C₂×C₁₉	#3092	1	2	yes	—
217	C₂⁵	D₄×C₁₉	1	1	yes	characteristic
218	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
219	C₂³×C₄	—	2	4	no	—
220	C₂³×C₄	—	2	8	no	—
221	C₂³×C₄	—	2	8	no	—
222	C₂³×C₄	—	2	4	no	—
223	C₂³×C₄	—	2	2	no	—
224	C₂³×C₄	—	4	4	no	—
225	C₂³×C₄	—	4	4	no	—
226	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
227	C₂³×C₄	D₄×C₁₉	1	2	yes	—
228	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
229	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
230	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
231	C₂²⋊Q₈	—	2	4	no	—
232	C₂²⋊Q₈	—	2	8	no	—
233	C₂×C₄⋊C₄	—	2	8	no	—
234	C₂×C₄⋊C₄	—	2	16	no	—
235	C₂×C₄⋊C₄	—	2	4	no	—
236	C₂×C₄⋊C₄	—	2	2	no	—
237	C₂×C₄⋊C₄	—	2	4	no	—
238	C₂×C₄⋊C₄	—	2	16	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	D₄×C₁₉	1	8	yes	—
242	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
243	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
244	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
245	C₂×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₂²⋊C₄	—	2	2	no	—
247	C₂×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₂²⋊C₄	—	2	2	no	—
249	#106	—	2	8	no	—
250	#103	—	2	8	no	—
251	C₂²⋊C₈	—	2	4	no	—
252	C₂²⋊C₈	—	2	8	no	—
253	#95	—	2	1	no	—
254	#95	—	2	2	no	—
255	C₁₉	#32982	1	1	yes	characteristic, direct product factor, Sylow
256	C₂⁴	—	2	2	no	—
257	C₂⁴	—	2	4	no	—
258	C₂⁴	—	2	2	no	—
259	C₂⁴	—	2	4	no	—
260	C₂⁴	SD₁₆×C₁₉	1	4	yes	—
261	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
262	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×Q₈	—	2	4	no	—
265	C₂²×C₄	—	2	32	no	—
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	4	no	—
268	C₂²×C₄	—	2	4	no	—
269	C₂²×C₄	—	2	4	no	—
270	C₂²×C₄	—	2	4	no	—
271	C₂²×C₄	—	2	4	no	—
272	C₂²×C₄	—	2	4	no	—
273	C₂²×C₄	—	2	4	no	—
274	C₂²×C₄	—	2	16	no	—
275	C₂²×C₄	—	2	8	no	—
276	C₂²×C₄	—	2	4	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	4	32	no	—
281	C₂²×C₄	—	4	8	no	—
282	C₂²×C₄	—	4	8	no	—
283	C₂²×C₄	—	4	4	no	—
284	C₂²×C₄	—	4	4	no	—
285	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
286	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
287	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
288	C₂²×C₄	#41×C₁₉	1	8	yes	—
289	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
290	C₂×C₈	—	2	4	no	—
291	C₂×C₈	—	2	8	no	—
292	C₄⋊C₄	—	2	16	no	—
293	C₄⋊C₄	—	2	8	no	—
294	C₄⋊C₄	—	2	4	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	4	no	—
297	C₄⋊C₄	—	4	2	no	—
298	C₄⋊C₄	—	4	4	no	—
299	C₄⋊C₄	C₂×D₄×C₁₉	1	8	yes	—
300	C₂²⋊C₄	—	4	2	no	—
301	C₂²⋊C₄	—	4	4	no	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	4	no	—
304	C₂³	—	2	8	no	—
305	C₂³	—	2	8	no	—
306	C₂³	—	2	16	no	—
307	C₂³	—	2	8	no	—
308	C₂³	—	2	16	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	2	2	no	—
313	C₂³	—	2	2	no	—
314	C₂³	—	2	2	no	—
315	C₂³	C₁₉×#120	1	2	yes	—
316	C₂³	C₁₉×#123	1	4	yes	—
317	C₂³	C₂×SD₁₆×C₁₉	1	2	yes	—
318	C₂³	C₂×SD₁₆×C₁₉	1	4	yes	—
319	C₂³	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
320	C₂³	C₁₉×#137	1	4	yes	—
321	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
322	Q₈	—	4	4	no	—
323	C₂×C₄	—	2	16	no	—
324	C₂×C₄	—	2	8	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	8	no	—
329	C₂×C₄	—	2	16	no	—
330	C₂×C₄	—	2	8	no	—
331	C₂×C₄	—	4	32	no	—
332	C₂×C₄	—	4	16	no	—
333	C₂×C₄	—	4	4	no	—
334	C₂×C₄	—	4	4	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	C₁₉×#120	1	2	yes	—
343	C₂×C₄	C₁₉×#123	1	4	yes	—
344	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
345	C₂×C₄	C₂×#41×C₁₉	1	4	yes	—
346	C₈	—	4	4	no	—
347	C₂²	—	2	32	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	4	no	—
351	C₂²	—	2	4	no	—
352	C₂²	—	2	4	no	—
353	C₂²	—	2	4	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	2	4	no	—
358	C₂²	C₁₉×#450	1	4	yes	—
359	C₂²	C₁₉×#483	1	8	yes	complemented
360	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
361	C₂²	C₂×C₁₉×#123	1	2	yes	—
362	C₂²	C₂²×SD₁₆×C₁₉	1	1	yes	characteristic
363	C₂²	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
364	C₂²	C₂×C₁₉×#137	1	2	yes	—
365	C₄	—	2	2	no	—
366	C₄	—	2	4	no	—
367	C₄	—	4	8	no	—
368	C₄	—	8	1	no	—
369	C₄	—	8	2	no	—
370	C₄	—	8	1	no	—
371	C₄	C₁₉×#525	1	4	yes	—
372	C₂	—	2	4	no	—
373	C₂	—	2	8	no	—
374	C₂	C₁₉×#2849	1	1	yes	characteristic
375	C₂	C₂×C₁₉×#450	1	1	yes	characteristic
376	C₂	C₁₉×#3004	1	1	yes	characteristic
377	C₂	C₂×C₁₉×#483	1	2	yes	—
378	C₂	C₁₉×#3092	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂⁵×C₁₉	D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂⁴×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#483	C₂	semidirect
4. C₁₉×#1872	C₂	semidirect
5. C₁₉×#1853	C₂	semidirect
6. C₁₉×#1823	C₂	semidirect
18. C₂×C₁₉×#106	C₂²	semidirect
19. C₂×C₁₉×#103	C₂²	semidirect
27. C₁₉×#340	C₂²	semidirect
114. #32982	C₁₉	direct (N × H)
159. C₂×#483	C₂×C₁₉	semidirect
161. #1872	C₂×C₁₉	semidirect
162. #1853	C₂×C₁₉	semidirect
163. #1823	C₂×C₁₉	semidirect
177. C₂²×C₁₉	#483	semidirect
200. C₂×#106	C₂²×C₁₉	semidirect
201. C₂×#103	C₂²×C₁₉	semidirect
209. #340	C₂²×C₁₉	semidirect
255. C₁₉	#32982	direct (N × H)
359. C₂²	C₁₉×#483	semidirect

Maximal subgroups

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

subgroup	index
C₂³×C₄⋊C₄×C₁₉	2
C₂×C₁₉×#483	2
C₁₉×#2848	2
C₁₉×#1872	2
C₁₉×#1853	2
C₁₉×#1823	2
C₁₉×#1779	2
#32982	19

Subgroups — C19×#32982 #18038941

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32982 #18038941