Subgroups — C₁₉×#2837 #14560694

Order 2432.

400 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#400	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#399	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#398	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#397	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#397	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#396	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#396	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#394	C₂	1	1	yes	maximal, characteristic
11	C₁₉×#394	C₂	1	1	yes	maximal, characteristic
12	C₁₉×#394	C₂	1	1	yes	maximal, characteristic
13	C₁₉×#389	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#388	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
31	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
32	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
36	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
40	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic
41	C₁₉×#95	C₂²	1	1	yes	characteristic
42	C₁₉×#95	C₂²	1	1	yes	characteristic
43	C₁₉×#95	C₂²	1	1	yes	characteristic
44	C₁₉×#95	C₂²	1	1	yes	characteristic
45	C₁₉×#95	C₂²	1	1	yes	characteristic
46	C₁₉×#95	C₂²	1	1	yes	characteristic
47	C₁₉×#95	C₂²	1	1	yes	characteristic
48	C₁₉×#95	C₂²	1	1	yes	characteristic
49	C₁₉×#95	C₂²	1	1	yes	characteristic
50	C₁₉×#95	C₂²	1	1	yes	characteristic
51	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
52	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
53	C₂×D₄×C₁₉	—	4	1	no	—
54	C₂×D₄×C₁₉	—	4	1	no	—
55	C₂×D₄×C₁₉	—	4	1	no	—
56	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
57	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
58	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
59	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
60	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
61	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
62	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
63	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₄⋊C₄×C₁₉	—	2	2	no	—
70	C₄⋊C₄×C₁₉	—	4	1	no	—
71	C₄⋊C₄×C₁₉	—	4	1	no	—
72	C₄⋊C₄×C₁₉	—	4	1	no	—
73	C₄⋊C₄×C₁₉	—	4	1	no	—
74	C₄⋊C₄×C₁₉	—	4	1	no	—
75	C₄⋊C₄×C₁₉	—	4	1	no	—
76	C₄⋊C₄×C₁₉	—	4	1	no	—
77	C₄⋊C₄×C₁₉	—	4	1	no	—
78	C₄⋊C₄×C₁₉	—	4	1	no	—
79	C₄⋊C₄×C₁₉	—	4	1	no	—
80	C₂²⋊C₄×C₁₉	—	2	2	no	—
81	C₂²⋊C₄×C₁₉	—	2	2	no	—
82	C₂²⋊C₄×C₁₉	—	4	1	no	—
83	C₂²⋊C₄×C₁₉	—	4	1	no	—
84	C₂²⋊C₄×C₁₉	—	4	1	no	—
85	C₂²⋊C₄×C₁₉	—	4	1	no	—
86	C₂²⋊C₄×C₁₉	—	4	1	no	—
87	C₂²⋊C₄×C₁₉	—	4	1	no	—
88	C₂²⋊C₄×C₁₉	—	4	1	no	—
89	C₂²⋊C₄×C₁₉	—	4	1	no	—
90	C₂²⋊C₄×C₁₉	—	4	1	no	—
91	C₂²⋊C₄×C₁₉	—	4	1	no	—
92	C₄²×C₁₉	—	4	1	no	—
93	C₂³×C₁₉	—	2	1	no	—
94	C₂³×C₁₉	—	2	1	no	—
95	C₂³×C₁₉	—	2	1	no	—
96	C₂³×C₁₉	—	2	1	no	—
97	C₂³×C₁₉	—	2	1	no	—
98	C₂³×C₁₉	—	2	1	no	—
99	C₂³×C₁₉	—	2	1	no	—
100	C₂³×C₁₉	—	2	1	no	—
101	C₂³×C₁₉	—	2	1	no	—
102	C₂³×C₁₉	—	2	1	no	—
103	C₂³×C₁₉	—	2	1	no	—
104	C₂³×C₁₉	—	2	1	no	—
105	C₂³×C₁₉	—	2	1	no	—
106	C₂³×C₁₉	—	2	1	no	—
107	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
108	D₄×C₁₉	—	4	4	no	—
109	C₂×C₄×C₁₉	—	2	1	no	—
110	C₂×C₄×C₁₉	—	2	1	no	—
111	C₂×C₄×C₁₉	—	2	1	no	—
112	C₂×C₄×C₁₉	—	2	1	no	—
113	C₂×C₄×C₁₉	—	2	1	no	—
114	C₂×C₄×C₁₉	—	2	1	no	—
115	C₂×C₄×C₁₉	—	2	1	no	—
116	C₂×C₄×C₁₉	—	2	1	no	—
117	C₂×C₄×C₁₉	—	2	1	no	—
118	C₂×C₄×C₁₉	—	2	1	no	—
119	C₂×C₄×C₁₉	—	2	1	no	—
120	C₂×C₄×C₁₉	—	2	1	no	—
121	C₂×C₄×C₁₉	—	2	1	no	—
122	C₂×C₄×C₁₉	—	2	1	no	—
123	C₂×C₄×C₁₉	—	2	1	no	—
124	C₂×C₄×C₁₉	—	2	1	no	—
125	C₂×C₄×C₁₉	—	2	1	no	—
126	C₂×C₄×C₁₉	—	2	1	no	—
127	C₂×C₄×C₁₉	—	2	1	no	—
128	C₂×C₄×C₁₉	—	2	1	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	2	1	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	2	1	no	—
143	C₂×C₄×C₁₉	—	2	1	no	—
144	C₂×C₄×C₁₉	—	2	1	no	—
145	C₂×C₄×C₁₉	—	2	1	no	—
146	C₂×C₄×C₁₉	—	2	1	no	—
147	C₂×C₄×C₁₉	#41	1	2	yes	—
148	#2837	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
149	C₂²×C₁₉	—	4	1	no	—
150	C₂²×C₁₉	—	4	1	no	—
151	C₂²×C₁₉	—	4	1	no	—
152	C₂²×C₁₉	—	4	1	no	—
153	C₂²×C₁₉	—	4	1	no	—
154	C₂²×C₁₉	—	4	1	no	—
155	C₂²×C₁₉	—	4	1	no	—
156	C₂²×C₁₉	—	4	1	no	—
157	C₂²×C₁₉	—	4	1	no	—
158	C₂²×C₁₉	—	4	1	no	—
159	C₂²×C₁₉	—	4	1	no	—
160	C₂²×C₁₉	—	4	1	no	—
161	C₂²×C₁₉	—	4	1	no	—
162	C₂²×C₁₉	—	4	1	no	—
163	C₂²×C₁₉	C₂×#41	1	1	yes	characteristic
164	C₂²×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
165	C₂²×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
166	C₂²×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
167	C₂²×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
168	C₂²×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
169	C₂²×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
170	C₄×C₁₉	—	2	2	no	—
171	C₄×C₁₉	—	4	1	no	—
172	C₄×C₁₉	—	4	1	no	—
173	C₄×C₁₉	—	4	1	no	—
174	C₄×C₁₉	—	4	1	no	—
175	C₄×C₁₉	—	4	1	no	—
176	C₄×C₁₉	—	4	1	no	—
177	C₄×C₁₉	—	4	1	no	—
178	C₄×C₁₉	—	4	1	no	—
179	C₄×C₁₉	—	4	1	no	—
180	C₄×C₁₉	—	4	1	no	—
181	C₄×C₁₉	—	4	1	no	—
182	C₄×C₁₉	—	4	1	no	—
183	#400	C₂×C₁₉	1	1	yes	characteristic, complemented
184	#399	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#399	C₂×C₁₉	1	1	yes	characteristic, complemented
186	#398	C₂×C₁₉	1	1	yes	characteristic, complemented
187	#398	C₂×C₁₉	1	1	yes	characteristic, complemented
188	#397	C₂×C₁₉	1	1	yes	characteristic, complemented
189	#397	C₂×C₁₉	1	1	yes	characteristic, complemented
190	#396	C₂×C₁₉	1	1	yes	characteristic, complemented
191	#396	C₂×C₁₉	1	1	yes	characteristic, complemented
192	#394	C₂×C₁₉	1	1	yes	characteristic
193	#394	C₂×C₁₉	1	1	yes	characteristic
194	#394	C₂×C₁₉	1	1	yes	characteristic
195	#389	C₂×C₁₉	1	1	yes	characteristic, complemented
196	#388	C₂×C₁₉	1	1	yes	characteristic, complemented
197	#388	C₂×C₁₉	1	1	yes	characteristic, complemented
198	C₂×C₁₉	—	8	1	no	—
199	C₂×C₁₉	—	8	1	no	—
200	C₂×C₁₉	#539	1	1	yes	characteristic
201	C₂×C₁₉	#540	1	1	yes	characteristic
202	C₂×C₁₉	#542	1	1	yes	characteristic
203	C₂×C₁₉	#560	1	1	yes	characteristic
204	C₂×C₁₉	#562	1	1	yes	characteristic
205	C₂×C₁₉	#562	1	1	yes	characteristic
206	C₂×C₁₉	#563	1	1	yes	characteristic
207	C₂²×D₄	C₂²×C₁₉	1	1	yes	characteristic
208	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
209	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
210	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
211	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
212	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
213	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
214	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
215	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
216	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
217	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
218	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
219	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
220	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
221	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
222	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
223	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
224	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
225	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
226	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
227	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
228	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
229	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
230	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
231	C₂×C₄²	C₂²×C₁₉	1	1	yes	characteristic
232	#95	C₂²×C₁₉	1	1	yes	characteristic
233	#95	C₂²×C₁₉	1	1	yes	characteristic
234	#95	C₂²×C₁₉	1	1	yes	characteristic
235	#95	C₂²×C₁₉	1	1	yes	characteristic
236	#95	C₂²×C₁₉	1	1	yes	characteristic
237	#95	C₂²×C₁₉	1	1	yes	characteristic
238	#95	C₂²×C₁₉	1	1	yes	characteristic
239	#95	C₂²×C₁₉	1	1	yes	characteristic
240	#95	C₂²×C₁₉	1	1	yes	characteristic
241	#95	C₂²×C₁₉	1	1	yes	characteristic
242	C₁₉	#2837	1	1	yes	characteristic, direct product factor, Sylow
243	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
244	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
245	C₂×D₄	—	4	1	no	—
246	C₂×D₄	—	4	1	no	—
247	C₂×D₄	—	4	1	no	—
248	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
249	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
250	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
251	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
252	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
253	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
254	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
255	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
256	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
257	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
258	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
259	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
260	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
261	C₄⋊C₄	—	2	2	no	—
262	C₄⋊C₄	—	4	1	no	—
263	C₄⋊C₄	—	4	1	no	—
264	C₄⋊C₄	—	4	1	no	—
265	C₄⋊C₄	—	4	1	no	—
266	C₄⋊C₄	—	4	1	no	—
267	C₄⋊C₄	—	4	1	no	—
268	C₄⋊C₄	—	4	1	no	—
269	C₄⋊C₄	—	4	1	no	—
270	C₄⋊C₄	—	4	1	no	—
271	C₄⋊C₄	—	4	1	no	—
272	C₂²⋊C₄	—	2	2	no	—
273	C₂²⋊C₄	—	2	2	no	—
274	C₂²⋊C₄	—	4	1	no	—
275	C₂²⋊C₄	—	4	1	no	—
276	C₂²⋊C₄	—	4	1	no	—
277	C₂²⋊C₄	—	4	1	no	—
278	C₂²⋊C₄	—	4	1	no	—
279	C₂²⋊C₄	—	4	1	no	—
280	C₂²⋊C₄	—	4	1	no	—
281	C₂²⋊C₄	—	4	1	no	—
282	C₂²⋊C₄	—	4	1	no	—
283	C₂²⋊C₄	—	4	1	no	—
284	C₄²	—	4	1	no	—
285	C₂³	—	2	1	no	—
286	C₂³	—	2	1	no	—
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	1	no	—
290	C₂³	—	2	1	no	—
291	C₂³	—	2	1	no	—
292	C₂³	—	2	1	no	—
293	C₂³	—	2	1	no	—
294	C₂³	—	2	1	no	—
295	C₂³	—	2	1	no	—
296	C₂³	—	2	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	—	2	1	no	—
299	C₂³	C₂⁴×C₁₉	1	1	yes	characteristic
300	D₄	—	4	4	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	#41×C₁₉	1	2	yes	—
340	C₂²	—	4	1	no	—
341	C₂²	—	4	1	no	—
342	C₂²	—	4	1	no	—
343	C₂²	—	4	1	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	4	1	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	1	no	—
348	C₂²	—	4	1	no	—
349	C₂²	—	4	1	no	—
350	C₂²	—	4	1	no	—
351	C₂²	—	4	1	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	C₂×#41×C₁₉	1	1	yes	characteristic
355	C₂²	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
356	C₂²	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
357	C₂²	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
358	C₂²	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
359	C₂²	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
360	C₂²	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
361	C₄	—	2	2	no	—
362	C₄	—	4	1	no	—
363	C₄	—	4	1	no	—
364	C₄	—	4	1	no	—
365	C₄	—	4	1	no	—
366	C₄	—	4	1	no	—
367	C₄	—	4	1	no	—
368	C₄	—	4	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	—	4	1	no	—
372	C₄	—	4	1	no	—
373	C₄	—	4	1	no	—
374	C₂	—	8	1	no	—
375	C₂	—	8	1	no	—
376	C₂	C₁₉×#539	1	1	yes	characteristic
377	C₂	C₁₉×#540	1	1	yes	characteristic
378	C₂	C₁₉×#542	1	1	yes	characteristic
379	C₂	C₁₉×#560	1	1	yes	characteristic
380	C₂	C₁₉×#562	1	1	yes	characteristic
381	C₂	C₁₉×#562	1	1	yes	characteristic
382	C₂	C₁₉×#563	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₉×#400	C₂	semidirect
2. C₁₉×#399	C₂	semidirect
3. C₁₉×#399	C₂	semidirect
4. C₁₉×#398	C₂	semidirect
5. C₁₉×#398	C₂	semidirect
6. C₁₉×#397	C₂	semidirect
7. C₁₉×#397	C₂	semidirect
8. C₁₉×#396	C₂	semidirect
9. C₁₉×#396	C₂	semidirect
13. C₁₉×#389	C₂	semidirect
14. C₁₉×#388	C₂	semidirect
15. C₁₉×#388	C₂	semidirect
148. #2837	C₁₉	direct (N × H)
183. #400	C₂×C₁₉	semidirect
184. #399	C₂×C₁₉	semidirect
185. #399	C₂×C₁₉	semidirect
186. #398	C₂×C₁₉	semidirect
187. #398	C₂×C₁₉	semidirect
188. #397	C₂×C₁₉	semidirect
189. #397	C₂×C₁₉	semidirect
190. #396	C₂×C₁₉	semidirect
191. #396	C₂×C₁₉	semidirect
195. #389	C₂×C₁₉	semidirect
196. #388	C₂×C₁₉	semidirect
197. #388	C₂×C₁₉	semidirect
242. C₁₉	#2837	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×#400	2
C₁₉×#399	2
C₁₉×#398	2
C₁₉×#397	2
C₁₉×#396	2
C₁₉×#394	2
C₁₉×#389	2
C₁₉×#388	2
#2837	19

Subgroups — C19×#2837 #14560694

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#2837 #14560694