Subgroups — C₁₉×#32915 #18038874

Order 4864.

1330 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#519	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#462	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#451	C₂	1	2	yes	maximal
4	C₁₉×#2621	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1878	C₂	1	4	yes	maximal, complemented
6	C₁₉×#1873	C₂	1	2	yes	maximal
7	C₁₉×#1805	C₂	1	2	yes	maximal, complemented
8	C₁₉×#1798	C₂	1	1	yes	maximal, characteristic
9	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×Q₁₆×C₁₉	C₂²	1	4	yes	—
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
13	C₁₉×#519	—	2	8	no	—
14	C₂×C₄×Q₈×C₁₉	—	2	2	no	—
15	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
16	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
17	C₂×C₁₉×#117	—	2	2	no	—
18	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
20	C₁₉×#462	—	2	8	no	—
21	C₁₉×#451	—	2	8	no	—
22	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
23	C₂×C₁₉×#103	C₂²	1	4	yes	—
24	C₂×C₁₉×#103	C₂²	1	4	yes	—
25	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
26	C₁₉×#398	—	2	2	no	—
27	C₁₉×#397	—	2	2	no	—
28	C₁₉×#391	C₂²	1	2	yes	—
29	C₁₉×#382	C₂²	1	1	yes	characteristic
30	C₁₉×#340	C₂²	1	4	yes	—
31	C₁₉×#336	C₂²	1	2	yes	—
32	C₂²×Q₈×C₁₉	—	2	4	no	—
33	C₂²×Q₈×C₁₉	—	2	4	no	—
34	C₂²×Q₈×C₁₉	—	2	1	no	—
35	C₂²×Q₈×C₁₉	—	2	2	no	—
36	C₂²×Q₈×C₁₉	D₄	1	4	yes	—
37	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
38	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
39	C₂³×C₄×C₁₉	—	2	1	no	—
40	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
41	C₂×Q₁₆×C₁₉	—	2	8	no	—
42	C₂×Q₁₆×C₁₉	—	2	8	no	—
43	C₂×Q₁₆×C₁₉	—	2	8	no	—
44	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
45	C₁₉×C₄⋊Q₈	—	2	4	no	—
46	C₁₉×C₂²⋊Q₈	—	2	4	no	—
47	C₁₉×C₂²⋊Q₈	—	2	4	no	—
48	C₄×Q₈×C₁₉	—	2	16	no	—
49	C₄×Q₈×C₁₉	—	2	4	no	—
50	C₄×Q₈×C₁₉	—	2	4	no	—
51	C₄×Q₈×C₁₉	—	2	4	no	—
52	C₄×Q₈×C₁₉	D₄	1	8	yes	—
53	C₁₉×#117	—	2	16	no	—
54	C₁₉×#117	—	2	4	no	—
55	C₁₉×#117	—	2	4	no	—
56	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
57	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
58	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
59	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
60	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
61	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
62	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
63	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
64	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
65	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
66	C₂×C₄²×C₁₉	—	2	2	no	—
67	C₂×C₄²×C₁₉	—	2	2	no	—
68	C₂×C₄²×C₁₉	—	2	1	no	—
69	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
70	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
71	C₁₉×C₄⋊C₈	—	2	4	no	—
72	C₁₉×#103	—	2	8	no	—
73	C₁₉×#103	—	2	8	no	—
74	C₁₉×C₂²⋊C₈	—	2	4	no	—
75	C₁₉×#95	—	2	2	no	—
76	C₁₉×#95	—	2	4	no	—
77	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
78	C₂×Q₈×C₁₉	—	2	4	no	—
79	C₂×Q₈×C₁₉	—	2	16	no	—
80	C₂×Q₈×C₁₉	—	2	4	no	—
81	C₂×Q₈×C₁₉	—	2	16	no	—
82	C₂×Q₈×C₁₉	—	2	4	no	—
83	C₂×Q₈×C₁₉	—	2	2	no	—
84	C₂×Q₈×C₁₉	—	2	2	no	—
85	C₂×Q₈×C₁₉	—	2	2	no	—
86	C₂×Q₈×C₁₉	—	2	2	no	—
87	C₂×Q₈×C₁₉	—	2	4	no	—
88	C₂×Q₈×C₁₉	—	2	2	no	—
89	C₂×Q₈×C₁₉	—	2	4	no	—
90	C₂×Q₈×C₁₉	C₂×D₄	1	4	yes	—
91	C₂×Q₈×C₁₉	C₂×D₄	1	4	yes	—
92	C₂×Q₈×C₁₉	#41	1	4	yes	—
93	C₂²×C₄×C₁₉	—	2	4	no	—
94	C₂²×C₄×C₁₉	—	2	4	no	—
95	C₂²×C₄×C₁₉	—	2	4	no	—
96	C₂²×C₄×C₁₉	—	2	2	no	—
97	C₂²×C₄×C₁₉	—	2	2	no	—
98	C₂²×C₄×C₁₉	—	2	2	no	—
99	C₂²×C₄×C₁₉	—	2	2	no	—
100	C₂²×C₄×C₁₉	—	2	2	no	—
101	C₂²×C₄×C₁₉	—	2	2	no	—
102	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
103	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
104	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₁₉	#41	1	2	yes	—
107	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
108	Q₁₆×C₁₉	—	4	16	no	—
109	C₂×C₈×C₁₉	—	2	4	no	—
110	C₂×C₈×C₁₉	—	2	4	no	—
111	C₂×C₈×C₁₉	—	2	4	no	—
112	C₄⋊C₄×C₁₉	—	2	8	no	—
113	C₄⋊C₄×C₁₉	—	2	8	no	—
114	C₄⋊C₄×C₁₉	—	2	4	no	—
115	C₄⋊C₄×C₁₉	—	2	2	no	—
116	C₄⋊C₄×C₁₉	—	2	2	no	—
117	C₄⋊C₄×C₁₉	—	2	2	no	—
118	C₄⋊C₄×C₁₉	—	4	4	no	—
119	C₄⋊C₄×C₁₉	—	4	4	no	—
120	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
121	C₂²⋊C₄×C₁₉	—	2	4	no	—
122	C₂²⋊C₄×C₁₉	—	2	4	no	—
123	C₂²⋊C₄×C₁₉	—	4	4	no	—
124	C₄²×C₁₉	—	2	8	no	—
125	C₄²×C₁₉	—	2	4	no	—
126	C₄²×C₁₉	—	2	8	no	—
127	C₄²×C₁₉	—	2	2	no	—
128	C₄²×C₁₉	C₂×D₄	1	4	yes	—
129	#32915	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
130	C₂³×C₁₉	—	2	1	no	—
131	C₂³×C₁₉	—	2	1	no	—
132	C₂³×C₁₉	—	2	4	no	—
133	C₂³×C₁₉	#121	1	2	yes	—
134	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
135	Q₈×C₁₉	—	2	16	no	—
136	Q₈×C₁₉	—	2	4	no	—
137	Q₈×C₁₉	—	2	4	no	—
138	Q₈×C₁₉	—	2	4	no	—
139	Q₈×C₁₉	—	4	4	no	—
140	Q₈×C₁₉	—	4	4	no	—
141	Q₈×C₁₉	#121	1	8	yes	—
142	C₂×C₄×C₁₉	—	2	16	no	—
143	C₂×C₄×C₁₉	—	2	4	no	—
144	C₂×C₄×C₁₉	—	2	1	no	—
145	C₂×C₄×C₁₉	—	2	4	no	—
146	C₂×C₄×C₁₉	—	2	4	no	—
147	C₂×C₄×C₁₉	—	2	1	no	—
148	C₂×C₄×C₁₉	—	2	4	no	—
149	C₂×C₄×C₁₉	—	2	4	no	—
150	C₂×C₄×C₁₉	—	2	4	no	—
151	C₂×C₄×C₁₉	—	2	2	no	—
152	C₂×C₄×C₁₉	—	2	4	no	—
153	C₂×C₄×C₁₉	—	2	4	no	—
154	C₂×C₄×C₁₉	—	4	4	no	—
155	C₂×C₄×C₁₉	—	4	2	no	—
156	C₂×C₄×C₁₉	—	4	2	no	—
157	C₂×C₄×C₁₉	—	4	2	no	—
158	C₂×C₄×C₁₉	—	4	2	no	—
159	C₂×C₄×C₁₉	—	4	4	no	—
160	C₂×C₄×C₁₉	#120	1	4	yes	—
161	C₂×C₄×C₁₉	#121	1	2	yes	—
162	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
164	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
165	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
166	C₈×C₁₉	—	4	4	no	—
167	C₂×#519	C₂×C₁₉	1	1	yes	characteristic
168	C₂×#462	C₂×C₁₉	1	2	yes	complemented
169	C₂×#451	C₂×C₁₉	1	2	yes	—
170	#2621	C₂×C₁₉	1	1	yes	characteristic
171	#1878	C₂×C₁₉	1	4	yes	complemented
172	#1873	C₂×C₁₉	1	2	yes	—
173	#1805	C₂×C₁₉	1	2	yes	complemented
174	#1798	C₂×C₁₉	1	1	yes	characteristic
175	C₂²×C₁₉	—	2	2	no	—
176	C₂²×C₁₉	—	2	4	no	—
177	C₂²×C₁₉	—	4	2	no	—
178	C₂²×C₁₉	—	4	2	no	—
179	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
180	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
181	C₂²×C₁₉	#525	1	1	yes	characteristic
182	C₂²×C₁₉	#578	1	4	yes	—
183	C₄×C₁₉	—	2	8	no	—
184	C₄×C₁₉	—	2	2	no	—
185	C₄×C₁₉	—	2	4	no	—
186	C₄×C₁₉	—	4	2	no	—
187	C₄×C₁₉	—	4	4	no	—
188	C₄×C₁₉	—	8	2	no	—
189	C₄×C₁₉	—	8	2	no	—
190	C₄×C₁₉	C₂×#121	1	2	yes	—
191	C₄×C₁₉	#525	1	2	yes	—
192	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
193	C₂²×Q₁₆	C₂²×C₁₉	1	4	yes	—
194	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
195	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
196	#519	—	2	8	no	—
197	C₂×C₄×Q₈	—	2	2	no	—
198	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
199	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
200	C₂×#117	—	2	2	no	—
201	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
202	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
203	#462	—	2	8	no	—
204	#451	—	2	8	no	—
205	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
206	C₂×#103	C₂²×C₁₉	1	4	yes	—
207	C₂×#103	C₂²×C₁₉	1	4	yes	—
208	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
209	#398	—	2	2	no	—
210	#397	—	2	2	no	—
211	#391	C₂²×C₁₉	1	2	yes	—
212	#382	C₂²×C₁₉	1	1	yes	characteristic
213	#340	C₂²×C₁₉	1	4	yes	—
214	#336	C₂²×C₁₉	1	2	yes	—
215	C₂×C₁₉	—	4	2	no	—
216	C₂×C₁₉	#2847	1	1	yes	characteristic
217	C₂×C₁₉	#3011	1	2	yes	—
218	C₂×C₁₉	#3044	1	2	yes	—
219	C₂×C₁₉	#3127	1	2	yes	—
220	C₂²×Q₈	—	2	4	no	—
221	C₂²×Q₈	—	2	4	no	—
222	C₂²×Q₈	—	2	1	no	—
223	C₂²×Q₈	—	2	2	no	—
224	C₂²×Q₈	D₄×C₁₉	1	4	yes	—
225	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
226	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
227	C₂³×C₄	—	2	1	no	—
228	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
229	C₂×Q₁₆	—	2	8	no	—
230	C₂×Q₁₆	—	2	8	no	—
231	C₂×Q₁₆	—	2	8	no	—
232	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
233	C₄⋊Q₈	—	2	4	no	—
234	C₂²⋊Q₈	—	2	4	no	—
235	C₂²⋊Q₈	—	2	4	no	—
236	C₄×Q₈	—	2	16	no	—
237	C₄×Q₈	—	2	4	no	—
238	C₄×Q₈	—	2	4	no	—
239	C₄×Q₈	—	2	4	no	—
240	C₄×Q₈	D₄×C₁₉	1	8	yes	—
241	#117	—	2	16	no	—
242	#117	—	2	4	no	—
243	#117	—	2	4	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄⋊C₄	—	2	2	no	—
247	C₂×C₄⋊C₄	—	2	2	no	—
248	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
249	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
250	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
251	C₂×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₂²⋊C₄	—	2	2	no	—
253	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
254	C₂×C₄²	—	2	2	no	—
255	C₂×C₄²	—	2	2	no	—
256	C₂×C₄²	—	2	1	no	—
257	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
258	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
259	C₄⋊C₈	—	2	4	no	—
260	#103	—	2	8	no	—
261	#103	—	2	8	no	—
262	C₂²⋊C₈	—	2	4	no	—
263	#95	—	2	2	no	—
264	#95	—	2	4	no	—
265	C₁₉	#32915	1	1	yes	characteristic, direct product factor, Sylow
266	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
267	C₂×Q₈	—	2	4	no	—
268	C₂×Q₈	—	2	16	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂×Q₈	—	2	16	no	—
271	C₂×Q₈	—	2	4	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	—	2	2	no	—
274	C₂×Q₈	—	2	2	no	—
275	C₂×Q₈	—	2	4	no	—
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	2	4	no	—
279	C₂×Q₈	C₂×D₄×C₁₉	1	4	yes	—
280	C₂×Q₈	C₂×D₄×C₁₉	1	4	yes	—
281	C₂×Q₈	#41×C₁₉	1	4	yes	—
282	C₂²×C₄	—	2	4	no	—
283	C₂²×C₄	—	2	4	no	—
284	C₂²×C₄	—	2	4	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	2	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	2	2	no	—
291	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
292	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
293	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
295	C₂²×C₄	#41×C₁₉	1	2	yes	—
296	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
297	Q₁₆	—	4	16	no	—
298	C₂×C₈	—	2	4	no	—
299	C₂×C₈	—	2	4	no	—
300	C₂×C₈	—	2	4	no	—
301	C₄⋊C₄	—	2	8	no	—
302	C₄⋊C₄	—	2	8	no	—
303	C₄⋊C₄	—	2	4	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	4	4	no	—
308	C₄⋊C₄	—	4	4	no	—
309	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	2	4	no	—
312	C₂²⋊C₄	—	4	4	no	—
313	C₄²	—	2	8	no	—
314	C₄²	—	2	4	no	—
315	C₄²	—	2	8	no	—
316	C₄²	—	2	2	no	—
317	C₄²	C₂×D₄×C₁₉	1	4	yes	—
318	C₂³	—	2	1	no	—
319	C₂³	—	2	1	no	—
320	C₂³	—	2	4	no	—
321	C₂³	C₁₉×#121	1	2	yes	—
322	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
323	Q₈	—	2	16	no	—
324	Q₈	—	2	4	no	—
325	Q₈	—	2	4	no	—
326	Q₈	—	2	4	no	—
327	Q₈	—	4	4	no	—
328	Q₈	—	4	4	no	—
329	Q₈	C₁₉×#121	1	8	yes	—
330	C₂×C₄	—	2	16	no	—
331	C₂×C₄	—	2	4	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	4	no	—
337	C₂×C₄	—	2	4	no	—
338	C₂×C₄	—	2	4	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	4	no	—
341	C₂×C₄	—	2	4	no	—
342	C₂×C₄	—	4	4	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	4	no	—
348	C₂×C₄	C₁₉×#120	1	4	yes	—
349	C₂×C₄	C₁₉×#121	1	2	yes	—
350	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
351	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
352	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
353	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
354	C₈	—	4	4	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	4	2	no	—
358	C₂²	—	4	2	no	—
359	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
360	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
361	C₂²	C₁₉×#525	1	1	yes	characteristic
362	C₂²	C₁₉×#578	1	4	yes	—
363	C₄	—	2	4	no	—
364	C₄	—	2	8	no	—
365	C₄	—	2	2	no	—
366	C₄	—	4	2	no	—
367	C₄	—	4	4	no	—
368	C₄	—	8	2	no	—
369	C₄	—	8	2	no	—
370	C₄	C₂×C₁₉×#121	1	2	yes	—
371	C₄	C₁₉×#525	1	2	yes	—
372	C₂	—	4	2	no	—
373	C₂	C₁₉×#2847	1	1	yes	characteristic
374	C₂	C₁₉×#3011	1	2	yes	—
375	C₂	C₁₉×#3044	1	2	yes	—
376	C₂	C₁₉×#3127	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂⁴×C₁₉	C₂×D₄
LCS	G ▷ C₂²×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
2. C₂×C₁₉×#462	C₂	semidirect
5. C₁₉×#1878	C₂	semidirect
7. C₁₉×#1805	C₂	semidirect
129. #32915	C₁₉	direct (N × H)
168. C₂×#462	C₂×C₁₉	semidirect
171. #1878	C₂×C₁₉	semidirect
173. #1805	C₂×C₁₉	semidirect
265. C₁₉	#32915	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#519	2
C₂×C₁₉×#462	2
C₂×C₁₉×#451	2
C₁₉×#2621	2
C₁₉×#1878	2
C₁₉×#1873	2
C₁₉×#1805	2
C₁₉×#1798	2
#32915	19

Subgroups — C19×#32915 #18038874

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32915 #18038874