Subgroups — C₁₉×#32645 #18038604

Order 4864.

642 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2568	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2567	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2066	C₂	1	2	yes	maximal
4	C₁₉×#2043	C₂	1	2	yes	maximal
5	C₁₉×#2024	C₂	1	2	yes	maximal
6	C₁₉×#1985	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1935	C₂	1	2	yes	maximal
8	C₁₉×#1927	C₂	1	2	yes	maximal
9	C₁₉×#1920	C₂	1	2	yes	maximal
10	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×#106	C₂²	1	2	yes	—
14	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×#103	C₂²	1	2	yes	—
16	C₂×C₁₉×#103	C₂²	1	2	yes	—
17	C₂×C₁₉×#103	C₂²	1	2	yes	—
18	C₂×C₁₉×#103	C₂²	1	2	yes	—
19	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
20	C₁₉×#400	—	2	1	no	—
21	C₁₉×#400	—	2	1	no	—
22	C₁₉×#395	—	2	1	no	—
23	C₁₉×#395	—	2	1	no	—
24	C₁₉×#391	—	2	1	no	—
25	C₁₉×#391	—	2	1	no	—
26	C₁₉×#391	C₂²	1	2	yes	—
27	C₁₉×#391	C₂²	1	2	yes	—
28	C₁₉×#389	C₂²	1	2	yes	—
29	C₁₉×#389	C₂²	1	2	yes	—
30	C₁₉×#384	—	2	1	no	—
31	C₁₉×#382	—	2	1	no	—
32	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
34	C₁₉×#340	C₂²	1	2	yes	—
35	C₁₉×#340	C₂²	1	2	yes	—
36	C₁₉×#340	C₂²	1	2	yes	—
37	C₁₉×#336	C₂²	1	2	yes	—
38	C₁₉×#336	C₂²	1	2	yes	—
39	C₂²×Q₈×C₁₉	—	2	1	no	—
40	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
41	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
42	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
43	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
44	C₁₉×C₄⋊Q₈	—	4	1	no	—
45	C₁₉×C₄⋊Q₈	—	4	1	no	—
46	C₁₉×C₄⋊Q₈	—	4	1	no	—
47	C₁₉×C₄⋊Q₈	—	4	1	no	—
48	C₄×Q₈×C₁₉	—	4	1	no	—
49	C₄×Q₈×C₁₉	—	4	1	no	—
50	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
51	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
52	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
54	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
55	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
56	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
57	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
58	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
59	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
60	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
61	C₂×C₄²×C₁₉	—	2	1	no	—
62	C₂×C₄²×C₁₉	—	2	1	no	—
63	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
66	C₁₉×#106	—	2	4	no	—
67	C₁₉×C₄⋊C₈	—	4	1	no	—
68	C₁₉×#103	—	2	4	no	—
69	C₁₉×#103	—	2	4	no	—
70	C₁₉×#103	—	4	2	no	—
71	C₁₉×#103	—	4	2	no	—
72	C₁₉×#97	—	4	1	no	—
73	C₁₉×#95	—	2	1	no	—
74	C₁₉×#95	—	2	1	no	—
75	C₁₉×#95	—	2	2	no	—
76	C₁₉×#95	—	2	2	no	—
77	C₁₉×#95	—	2	2	no	—
78	C₁₉×#95	—	2	2	no	—
79	C₁₉×#95	—	2	2	no	—
80	C₁₉×#95	—	2	2	no	—
81	C₂×Q₈×C₁₉	—	2	2	no	—
82	C₂×Q₈×C₁₉	—	2	2	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	2	no	—
88	C₂×Q₈×C₁₉	—	2	2	no	—
89	C₂×Q₈×C₁₉	—	4	1	no	—
90	C₂×Q₈×C₁₉	—	4	2	no	—
91	C₂×Q₈×C₁₉	—	8	2	no	—
92	C₂²×C₄×C₁₉	—	2	2	no	—
93	C₂²×C₄×C₁₉	—	2	2	no	—
94	C₂²×C₄×C₁₉	—	2	2	no	—
95	C₂²×C₄×C₁₉	—	2	2	no	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
103	C₂×C₈×C₁₉	—	2	2	no	—
104	C₂×C₈×C₁₉	—	2	2	no	—
105	C₂×C₈×C₁₉	—	2	2	no	—
106	C₂×C₈×C₁₉	—	2	2	no	—
107	C₂×C₈×C₁₉	—	2	2	no	—
108	C₂×C₈×C₁₉	—	2	2	no	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	—	2	2	no	—
111	C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₄⋊C₄×C₁₉	—	2	2	no	—
114	C₄⋊C₄×C₁₉	—	4	1	no	—
115	C₄⋊C₄×C₁₉	—	4	1	no	—
116	C₄⋊C₄×C₁₉	—	4	1	no	—
117	C₄⋊C₄×C₁₉	—	4	2	no	—
118	C₄⋊C₄×C₁₉	—	4	2	no	—
119	C₄⋊C₄×C₁₉	—	4	2	no	—
120	C₄⋊C₄×C₁₉	—	8	2	no	—
121	C₄⋊C₄×C₁₉	—	8	2	no	—
122	C₄⋊C₄×C₁₉	#41	1	4	yes	—
123	C₄²×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₄²×C₁₉	—	2	1	no	—
126	C₄²×C₁₉	—	2	1	no	—
127	C₄²×C₁₉	—	2	1	no	—
128	C₄²×C₁₉	—	2	1	no	—
129	C₄²×C₁₉	—	4	2	no	—
130	C₄²×C₁₉	—	4	2	no	—
131	#32645	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
132	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₁₉	—	4	4	no	—
134	Q₈×C₁₉	—	4	2	no	—
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	4	2	no	—
137	Q₈×C₁₉	—	4	2	no	—
138	Q₈×C₁₉	—	8	4	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	—	2	4	no	—
148	C₂×C₄×C₁₉	—	2	1	no	—
149	C₂×C₄×C₁₉	—	2	1	no	—
150	C₂×C₄×C₁₉	—	2	2	no	—
151	C₂×C₄×C₁₉	—	2	2	no	—
152	C₂×C₄×C₁₉	—	2	2	no	—
153	C₂×C₄×C₁₉	—	4	2	no	—
154	C₂×C₄×C₁₉	—	4	2	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	2	no	—
160	C₂×C₄×C₁₉	—	4	2	no	—
161	C₂×C₄×C₁₉	—	4	2	no	—
162	C₂×C₄×C₁₉	—	4	2	no	—
163	C₂×C₄×C₁₉	—	4	2	no	—
164	C₂×C₄×C₁₉	#137	1	2	yes	—
165	C₂×C₄×C₁₉	#137	1	2	yes	—
166	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
167	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
168	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
169	C₂×C₄×C₁₉	2₋¹⁺⁴	1	2	yes	—
170	C₈×C₁₉	—	4	2	no	—
171	C₈×C₁₉	—	4	2	no	—
172	#2568	C₂×C₁₉	1	1	yes	characteristic
173	#2567	C₂×C₁₉	1	1	yes	characteristic
174	#2066	C₂×C₁₉	1	2	yes	—
175	#2043	C₂×C₁₉	1	2	yes	—
176	#2024	C₂×C₁₉	1	2	yes	—
177	#1985	C₂×C₁₉	1	1	yes	characteristic
178	#1935	C₂×C₁₉	1	2	yes	—
179	#1927	C₂×C₁₉	1	2	yes	—
180	#1920	C₂×C₁₉	1	2	yes	—
181	C₂²×C₁₉	#534	1	1	yes	characteristic
182	C₂²×C₁₉	#548	1	2	yes	—
183	C₂²×C₁₉	C₂×#137	1	1	yes	characteristic
184	C₂²×C₁₉	C₂×#137	1	1	yes	characteristic
185	C₂²×C₁₉	#577	1	2	yes	—
186	C₄×C₁₉	—	2	2	no	—
187	C₄×C₁₉	—	2	2	no	—
188	C₄×C₁₉	—	4	4	no	—
189	C₄×C₁₉	—	4	1	no	—
190	C₄×C₁₉	—	4	1	no	—
191	C₄×C₁₉	—	4	1	no	—
192	C₄×C₁₉	—	4	1	no	—
193	C₄×C₁₉	—	8	2	no	—
194	C₄×C₁₉	—	8	2	no	—
195	C₄×C₁₉	—	8	2	no	—
196	C₄×C₁₉	#542	1	2	yes	—
197	C₄×C₁₉	#555	1	1	yes	characteristic
198	C₄×C₁₉	#563	1	1	yes	characteristic
199	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
201	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
202	C₂×#106	C₂²×C₁₉	1	2	yes	—
203	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
204	C₂×#103	C₂²×C₁₉	1	2	yes	—
205	C₂×#103	C₂²×C₁₉	1	2	yes	—
206	C₂×#103	C₂²×C₁₉	1	2	yes	—
207	C₂×#103	C₂²×C₁₉	1	2	yes	—
208	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
209	#400	—	2	1	no	—
210	#400	—	2	1	no	—
211	#395	—	2	1	no	—
212	#395	—	2	1	no	—
213	#391	—	2	1	no	—
214	#391	—	2	1	no	—
215	#391	C₂²×C₁₉	1	2	yes	—
216	#391	C₂²×C₁₉	1	2	yes	—
217	#389	C₂²×C₁₉	1	2	yes	—
218	#389	C₂²×C₁₉	1	2	yes	—
219	#384	—	2	1	no	—
220	#382	—	2	1	no	—
221	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
222	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
223	#340	C₂²×C₁₉	1	2	yes	—
224	#340	C₂²×C₁₉	1	2	yes	—
225	#340	C₂²×C₁₉	1	2	yes	—
226	#336	C₂²×C₁₉	1	2	yes	—
227	#336	C₂²×C₁₉	1	2	yes	—
228	C₂×C₁₉	#2731	1	1	yes	characteristic
229	C₂×C₁₉	#3195	1	1	yes	characteristic
230	C₂×C₁₉	#3200	1	1	yes	characteristic
231	C₂×C₁₉	#3369	1	2	yes	—
232	C₂×C₁₉	#3372	1	2	yes	—
233	C₂²×Q₈	—	2	1	no	—
234	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
235	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
236	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
237	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
238	C₄⋊Q₈	—	4	1	no	—
239	C₄⋊Q₈	—	4	1	no	—
240	C₄⋊Q₈	—	4	1	no	—
241	C₄⋊Q₈	—	4	1	no	—
242	C₄×Q₈	—	4	1	no	—
243	C₄×Q₈	—	4	1	no	—
244	C₂×C₄⋊C₄	—	2	1	no	—
245	C₂×C₄⋊C₄	—	2	1	no	—
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	2	no	—
248	C₂×C₄⋊C₄	—	2	2	no	—
249	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
250	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
251	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
252	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
253	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
254	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
255	C₂×C₄²	—	2	1	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	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
260	#106	—	2	4	no	—
261	C₄⋊C₈	—	4	1	no	—
262	#103	—	2	4	no	—
263	#103	—	2	4	no	—
264	#103	—	4	2	no	—
265	#103	—	4	2	no	—
266	#97	—	4	1	no	—
267	#95	—	2	1	no	—
268	#95	—	2	1	no	—
269	#95	—	2	2	no	—
270	#95	—	2	2	no	—
271	#95	—	2	2	no	—
272	#95	—	2	2	no	—
273	#95	—	2	2	no	—
274	#95	—	2	2	no	—
275	C₁₉	#32645	1	1	yes	characteristic, direct product factor, Sylow
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	2	2	no	—
280	C₂×Q₈	—	2	2	no	—
281	C₂×Q₈	—	2	2	no	—
282	C₂×Q₈	—	2	2	no	—
283	C₂×Q₈	—	2	2	no	—
284	C₂×Q₈	—	4	1	no	—
285	C₂×Q₈	—	4	2	no	—
286	C₂×Q₈	—	8	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	1	yes	characteristic
292	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
293	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
295	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
296	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
297	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	2	2	no	—
300	C₂×C₈	—	2	2	no	—
301	C₂×C₈	—	2	2	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	—	4	2	no	—
313	C₄⋊C₄	—	4	2	no	—
314	C₄⋊C₄	—	4	2	no	—
315	C₄⋊C₄	—	8	2	no	—
316	C₄⋊C₄	—	8	2	no	—
317	C₄⋊C₄	#41×C₁₉	1	4	yes	—
318	C₄²	—	2	1	no	—
319	C₄²	—	2	1	no	—
320	C₄²	—	2	1	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	2	1	no	—
323	C₄²	—	2	1	no	—
324	C₄²	—	4	2	no	—
325	C₄²	—	4	2	no	—
326	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
327	Q₈	—	4	4	no	—
328	Q₈	—	4	2	no	—
329	Q₈	—	4	2	no	—
330	Q₈	—	4	2	no	—
331	Q₈	—	4	2	no	—
332	Q₈	—	8	4	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	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	4	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	4	2	no	—
356	C₂×C₄	—	4	2	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	C₁₉×#137	1	2	yes	—
359	C₂×C₄	C₁₉×#137	1	2	yes	—
360	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
361	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
362	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
363	C₂×C₄	C₁₉×2₋¹⁺⁴	1	2	yes	—
364	C₈	—	4	2	no	—
365	C₈	—	4	2	no	—
366	C₂²	C₁₉×#534	1	1	yes	characteristic
367	C₂²	C₁₉×#548	1	2	yes	—
368	C₂²	C₂×C₁₉×#137	1	1	yes	characteristic
369	C₂²	C₂×C₁₉×#137	1	1	yes	characteristic
370	C₂²	C₁₉×#577	1	2	yes	—
371	C₄	—	2	2	no	—
372	C₄	—	2	2	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	1	no	—
375	C₄	—	4	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	4	no	—
378	C₄	—	8	2	no	—
379	C₄	—	8	2	no	—
380	C₄	—	8	2	no	—
381	C₄	C₁₉×#542	1	2	yes	—
382	C₄	C₁₉×#555	1	1	yes	characteristic
383	C₄	C₁₉×#563	1	1	yes	characteristic
384	C₂	C₁₉×#2731	1	1	yes	characteristic
385	C₂	C₁₉×#3195	1	1	yes	characteristic
386	C₂	C₁₉×#3200	1	1	yes	characteristic
387	C₂	C₁₉×#3369	1	2	yes	—
388	C₂	C₁₉×#3372	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄×Q₈×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
131. #32645	C₁₉	direct (N × H)
275. C₁₉	#32645	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×#2568	2
C₁₉×#2567	2
C₁₉×#2066	2
C₁₉×#2043	2
C₁₉×#2024	2
C₁₉×#1985	2
C₁₉×#1935	2
C₁₉×#1927	2
C₁₉×#1920	2
#32645	19

Subgroups — C19×#32645 #18038604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32645 #18038604