Subgroups — C₁₉×#8304 #18014263

Order 4864.

1238 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×#123	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1779	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#324	C₂	1	2	yes	maximal, complemented
4	C₂×C₁₉×#323	C₂	1	2	yes	maximal, complemented
5	C₂³×D₄×C₁₉	C₄	1	1	yes	characteristic
6	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
7	C₂×C₁₉×#123	—	2	4	no	—
8	C₂×C₁₉×#123	—	2	4	no	—
9	C₂×C₁₉×#123	—	2	4	no	—
10	C₂²×C₄⋊C₄×C₁₉	C₄	1	1	yes	characteristic
11	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
12	C₂²×C₂²⋊C₄×C₁₉	C₄	1	1	yes	characteristic
13	C₂²×C₂²⋊C₄×C₁₉	C₄	1	1	yes	characteristic
14	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×C₂²⋊C₈	—	2	4	no	—
16	C₂×C₁₉×C₂²⋊C₈	C₂²	1	4	yes	—
17	C₁₉×#324	—	2	4	no	—
18	C₁₉×#323	—	2	4	no	—
19	C₂⁵×C₁₉	C₂×C₄	1	1	yes	characteristic
20	C₂⁵×C₁₉	C₂×C₄	1	1	yes	characteristic
21	C₂²×D₄×C₁₉	—	2	2	no	—
22	C₂²×D₄×C₁₉	—	2	2	no	—
23	C₂²×D₄×C₁₉	—	2	2	no	—
24	C₂²×D₄×C₁₉	—	4	4	no	—
25	C₂³×C₄×C₁₉	—	2	2	no	—
26	C₂³×C₄×C₁₉	—	2	2	no	—
27	C₂³×C₄×C₁₉	—	4	4	no	—
28	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
32	C₂³×C₄×C₁₉	D₄	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
34	C₂²×C₈×C₁₉	—	2	4	no	—
35	C₁₉×#123	—	2	32	no	—
36	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
37	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
40	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
41	C₂×C₄⋊C₄×C₁₉	D₄	1	4	yes	—
42	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
43	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
44	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
45	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
46	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
47	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
48	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
49	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
50	C₂×C₂²⋊C₄×C₁₉	D₄	1	4	yes	—
51	C₁₉×C₂²⋊C₈	—	2	4	no	—
52	C₁₉×C₂²⋊C₈	—	2	4	no	—
53	C₁₉×C₂²⋊C₈	—	4	8	no	—
54	C₂⁴×C₁₉	—	2	4	no	—
55	C₂⁴×C₁₉	—	2	1	no	—
56	C₂⁴×C₁₉	—	2	1	no	—
57	C₂⁴×C₁₉	—	2	1	no	—
58	C₂⁴×C₁₉	—	2	1	no	—
59	C₂⁴×C₁₉	—	2	4	no	—
60	C₂⁴×C₁₉	—	2	4	no	—
61	C₂⁴×C₁₉	—	4	2	no	—
62	C₂⁴×C₁₉	—	4	2	no	—
63	C₂⁴×C₁₉	—	4	2	no	—
64	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
65	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
66	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
67	C₂×D₄×C₁₉	—	2	8	no	—
68	C₂×D₄×C₁₉	—	4	8	no	—
69	C₂×D₄×C₁₉	—	4	4	no	—
70	C₂×D₄×C₁₉	—	4	8	no	—
71	C₂×D₄×C₁₉	—	4	4	no	—
72	C₂²×C₄×C₁₉	—	2	8	no	—
73	C₂²×C₄×C₁₉	—	2	1	no	—
74	C₂²×C₄×C₁₉	—	2	1	no	—
75	C₂²×C₄×C₁₉	—	2	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	2	1	no	—
78	C₂²×C₄×C₁₉	—	2	1	no	—
79	C₂²×C₄×C₁₉	—	2	1	no	—
80	C₂²×C₄×C₁₉	—	2	1	no	—
81	C₂²×C₄×C₁₉	—	2	4	no	—
82	C₂²×C₄×C₁₉	—	2	8	no	—
83	C₂²×C₄×C₁₉	—	4	2	no	—
84	C₂²×C₄×C₁₉	—	4	4	no	—
85	C₂²×C₄×C₁₉	—	4	2	no	—
86	C₂²×C₄×C₁₉	—	4	8	no	—
87	C₂²×C₄×C₁₉	—	4	8	no	—
88	C₂²×C₄×C₁₉	—	4	2	no	—
89	C₂²×C₄×C₁₉	—	4	2	no	—
90	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
91	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
92	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
93	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
94	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
97	C₂×C₈×C₁₉	—	4	8	no	—
98	C₂×C₈×C₁₉	—	4	4	no	—
99	C₄⋊C₄×C₁₉	—	2	8	no	—
100	C₄⋊C₄×C₁₉	—	2	8	no	—
101	C₂²⋊C₄×C₁₉	—	2	8	no	—
102	C₂²⋊C₄×C₁₉	—	2	8	no	—
103	C₂²⋊C₄×C₁₉	—	2	8	no	—
104	#8304	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
105	C₂³×C₁₉	—	2	2	no	—
106	C₂³×C₁₉	—	2	2	no	—
107	C₂³×C₁₉	—	2	4	no	—
108	C₂³×C₁₉	—	2	4	no	—
109	C₂³×C₁₉	—	2	2	no	—
110	C₂³×C₁₉	—	2	4	no	—
111	C₂³×C₁₉	—	2	2	no	—
112	C₂³×C₁₉	—	2	4	no	—
113	C₂³×C₁₉	—	2	2	no	—
114	C₂³×C₁₉	—	2	4	no	—
115	C₂³×C₁₉	—	4	16	no	—
116	C₂³×C₁₉	—	4	2	no	—
117	C₂³×C₁₉	—	4	2	no	—
118	C₂³×C₁₉	—	4	2	no	—
119	C₂³×C₁₉	—	4	2	no	—
120	C₂³×C₁₉	—	4	2	no	—
121	C₂³×C₁₉	—	4	2	no	—
122	C₂³×C₁₉	—	4	2	no	—
123	C₂³×C₁₉	—	4	2	no	—
124	C₂³×C₁₉	—	4	2	no	—
125	C₂³×C₁₉	—	4	2	no	—
126	C₂³×C₁₉	—	4	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	8	8	no	—
129	C₂³×C₁₉	#99	1	4	yes	—
130	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
131	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
132	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
133	C₂³×C₁₉	#131	1	4	yes	—
134	D₄×C₁₉	—	4	16	no	—
135	C₂×C₄×C₁₉	—	2	4	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	2	no	—
140	C₂×C₄×C₁₉	—	2	4	no	—
141	C₂×C₄×C₁₉	—	2	4	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	—	4	16	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	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	—	4	2	no	—
154	C₂×C₄×C₁₉	—	4	2	no	—
155	C₂×C₄×C₁₉	#120	1	4	yes	—
156	C₈×C₁₉	—	8	4	no	—
157	C₂²×#123	C₂×C₁₉	1	1	yes	characteristic
158	#1779	C₂×C₁₉	1	2	yes	complemented
159	C₂×#324	C₂×C₁₉	1	2	yes	complemented
160	C₂×#323	C₂×C₁₉	1	2	yes	complemented
161	C₂²×C₁₉	—	2	8	no	—
162	C₂²×C₁₉	—	2	1	no	—
163	C₂²×C₁₉	—	2	1	no	—
164	C₂²×C₁₉	—	2	1	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	2	8	no	—
167	C₂²×C₁₉	—	2	4	no	—
168	C₂²×C₁₉	—	4	8	no	—
169	C₂²×C₁₉	—	4	8	no	—
170	C₂²×C₁₉	—	4	4	no	—
171	C₂²×C₁₉	—	4	2	no	—
172	C₂²×C₁₉	—	4	2	no	—
173	C₂²×C₁₉	—	4	2	no	—
174	C₂²×C₁₉	—	4	2	no	—
175	C₂²×C₁₉	—	4	2	no	—
176	C₂²×C₁₉	—	8	4	no	—
177	C₂²×C₁₉	—	8	4	no	—
178	C₂²×C₁₉	—	8	4	no	—
179	C₂²×C₁₉	#379	1	1	yes	characteristic
180	C₂²×C₁₉	#408	1	2	yes	—
181	C₂²×C₁₉	#408	1	2	yes	—
182	C₂²×C₁₉	#408	1	2	yes	—
183	C₂²×C₁₉	C₂×#99	1	2	yes	—
184	C₂²×C₁₉	#413	1	2	yes	—
185	C₄×C₁₉	—	2	4	no	—
186	C₄×C₁₉	—	4	2	no	—
187	C₄×C₁₉	—	4	2	no	—
188	C₄×C₁₉	—	4	2	no	—
189	C₄×C₁₉	—	4	2	no	—
190	C₂³×D₄	C₄×C₁₉	1	1	yes	characteristic
191	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
192	C₂×#123	—	2	4	no	—
193	C₂×#123	—	2	4	no	—
194	C₂×#123	—	2	4	no	—
195	C₂²×C₄⋊C₄	C₄×C₁₉	1	1	yes	characteristic
196	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
197	C₂²×C₂²⋊C₄	C₄×C₁₉	1	1	yes	characteristic
198	C₂²×C₂²⋊C₄	C₄×C₁₉	1	1	yes	characteristic
199	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×C₂²⋊C₈	—	2	4	no	—
201	C₂×C₂²⋊C₈	C₂²×C₁₉	1	4	yes	—
202	#324	—	2	4	no	—
203	#323	—	2	4	no	—
204	C₂×C₁₉	—	2	2	no	—
205	C₂×C₁₉	—	2	2	no	—
206	C₂×C₁₉	—	4	4	no	—
207	C₂×C₁₉	—	8	2	no	—
208	C₂×C₁₉	#1468	1	4	yes	—
209	C₂×C₁₉	#1780	1	1	yes	characteristic
210	C₂×C₁₉	#1781	1	1	yes	characteristic
211	C₂×C₁₉	#1785	1	1	yes	characteristic
212	C₂⁵	C₂×C₄×C₁₉	1	1	yes	characteristic
213	C₂⁵	C₂×C₄×C₁₉	1	1	yes	characteristic
214	C₂²×D₄	—	2	2	no	—
215	C₂²×D₄	—	2	2	no	—
216	C₂²×D₄	—	2	2	no	—
217	C₂²×D₄	—	4	4	no	—
218	C₂³×C₄	—	2	2	no	—
219	C₂³×C₄	—	2	2	no	—
220	C₂³×C₄	—	4	4	no	—
221	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
222	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
223	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
224	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
225	C₂³×C₄	D₄×C₁₉	1	4	yes	—
226	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
227	C₂²×C₈	—	2	4	no	—
228	#123	—	2	32	no	—
229	C₂×C₄⋊C₄	—	2	2	no	—
230	C₂×C₄⋊C₄	—	2	2	no	—
231	C₂×C₄⋊C₄	—	2	2	no	—
232	C₂×C₄⋊C₄	—	2	2	no	—
233	C₂×C₄⋊C₄	—	2	2	no	—
234	C₂×C₄⋊C₄	D₄×C₁₉	1	4	yes	—
235	C₂×C₂²⋊C₄	—	2	2	no	—
236	C₂×C₂²⋊C₄	—	2	2	no	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₂²⋊C₄	—	2	2	no	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	2	2	no	—
241	C₂×C₂²⋊C₄	—	2	2	no	—
242	C₂×C₂²⋊C₄	—	2	2	no	—
243	C₂×C₂²⋊C₄	D₄×C₁₉	1	4	yes	—
244	C₂²⋊C₈	—	2	4	no	—
245	C₂²⋊C₈	—	2	4	no	—
246	C₂²⋊C₈	—	4	8	no	—
247	C₁₉	#8304	1	1	yes	characteristic, direct product factor, Sylow
248	C₂⁴	—	2	1	no	—
249	C₂⁴	—	2	1	no	—
250	C₂⁴	—	2	4	no	—
251	C₂⁴	—	2	1	no	—
252	C₂⁴	—	2	1	no	—
253	C₂⁴	—	2	4	no	—
254	C₂⁴	—	2	4	no	—
255	C₂⁴	—	4	2	no	—
256	C₂⁴	—	4	2	no	—
257	C₂⁴	—	4	2	no	—
258	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
259	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
260	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
261	C₂×D₄	—	2	8	no	—
262	C₂×D₄	—	4	8	no	—
263	C₂×D₄	—	4	4	no	—
264	C₂×D₄	—	4	8	no	—
265	C₂×D₄	—	4	4	no	—
266	C₂²×C₄	—	2	1	no	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	1	no	—
271	C₂²×C₄	—	2	1	no	—
272	C₂²×C₄	—	2	1	no	—
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	2	4	no	—
275	C₂²×C₄	—	2	8	no	—
276	C₂²×C₄	—	2	8	no	—
277	C₂²×C₄	—	4	2	no	—
278	C₂²×C₄	—	4	4	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	—	4	8	no	—
281	C₂²×C₄	—	4	8	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	2	no	—
284	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
285	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
286	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
287	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
288	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
289	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
290	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
291	C₂×C₈	—	4	8	no	—
292	C₂×C₈	—	4	4	no	—
293	C₄⋊C₄	—	2	8	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₂²⋊C₄	—	2	8	no	—
296	C₂²⋊C₄	—	2	8	no	—
297	C₂²⋊C₄	—	2	8	no	—
298	C₂³	—	2	2	no	—
299	C₂³	—	2	2	no	—
300	C₂³	—	2	4	no	—
301	C₂³	—	2	4	no	—
302	C₂³	—	2	2	no	—
303	C₂³	—	2	4	no	—
304	C₂³	—	2	2	no	—
305	C₂³	—	2	4	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	2	4	no	—
308	C₂³	—	4	16	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	2	no	—
312	C₂³	—	4	2	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	2	no	—
316	C₂³	—	4	2	no	—
317	C₂³	—	4	2	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	2	no	—
321	C₂³	—	8	8	no	—
322	C₂³	C₁₉×#99	1	4	yes	—
323	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
324	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
325	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
326	C₂³	C₁₉×#131	1	4	yes	—
327	D₄	—	4	16	no	—
328	C₂×C₄	—	2	4	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	16	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	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	C₁₉×#120	1	4	yes	—
349	C₈	—	8	4	no	—
350	C₂²	—	2	8	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	2	1	no	—
354	C₂²	—	2	1	no	—
355	C₂²	—	2	8	no	—
356	C₂²	—	2	4	no	—
357	C₂²	—	4	8	no	—
358	C₂²	—	4	8	no	—
359	C₂²	—	4	4	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	8	4	no	—
366	C₂²	—	8	4	no	—
367	C₂²	—	8	4	no	—
368	C₂²	C₁₉×#379	1	1	yes	characteristic
369	C₂²	C₁₉×#408	1	2	yes	—
370	C₂²	C₁₉×#408	1	2	yes	—
371	C₂²	C₁₉×#408	1	2	yes	—
372	C₂²	C₂×C₁₉×#99	1	2	yes	—
373	C₂²	C₁₉×#413	1	2	yes	—
374	C₄	—	2	4	no	—
375	C₄	—	4	2	no	—
376	C₄	—	4	2	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	2	no	—
379	C₂	—	2	2	no	—
380	C₂	—	2	2	no	—
381	C₂	—	4	4	no	—
382	C₂	—	8	2	no	—
383	C₂	C₁₉×#1468	1	4	yes	—
384	C₂	C₁₉×#1780	1	1	yes	characteristic
385	C₂	C₁₉×#1781	1	1	yes	characteristic
386	C₂	C₁₉×#1785	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂×C₂²⋊C₄
commutator	C₂⁴	C₂²×C₄×C₁₉
Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
prime radical	C₂³×D₄×C₁₉	C₄
LCS	G ▷ C₂⁴ ▷ 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. C₁₉×#1779	C₂	semidirect
3. C₂×C₁₉×#324	C₂	semidirect
4. C₂×C₁₉×#323	C₂	semidirect
104. #8304	C₁₉	direct (N × H)
158. #1779	C₂×C₁₉	semidirect
159. C₂×#324	C₂×C₁₉	semidirect
160. C₂×#323	C₂×C₁₉	semidirect
247. C₁₉	#8304	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×#123	2
C₁₉×#1779	2
C₂×C₁₉×#324	2
C₂×C₁₉×#323	2
#8304	19

Subgroups — C19×#8304 #18014263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#8304 #18014263