Subgroups — C₁₉×#10619 #18016578

Order 4864.

418 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#1954	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1844	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#1802	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1802	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1296	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1296	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1277	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#106	—	2	1	no	—
10	C₂×C₁₉×#106	—	2	1	no	—
11	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×#102	—	2	1	no	—
15	C₂×C₁₉×#102	—	2	1	no	—
16	C₂×C₁₉×C₂²⋊C₈	—	2	1	no	—
17	C₂×C₁₉×C₂²⋊C₈	—	2	1	no	—
18	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#384	C₂²	1	1	yes	characteristic
20	C₁₉×#384	C₂²	1	1	yes	characteristic
21	C₁₉×#340	—	2	1	no	—
22	C₁₉×#340	—	2	1	no	—
23	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
24	C₂³×C₄×C₁₉	—	2	1	no	—
25	C₂²×C₈×C₁₉	—	2	1	no	—
26	C₂²×C₈×C₁₉	—	2	1	no	—
27	C₂²×C₈×C₁₉	—	2	1	no	—
28	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
29	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
30	C₄×D₄×C₁₉	—	2	1	no	—
31	C₄×D₄×C₁₉	—	2	1	no	—
32	C₄×D₄×C₁₉	—	2	1	no	—
33	C₄×D₄×C₁₉	—	2	1	no	—
34	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
35	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
36	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
37	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
40	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
42	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
43	C₁₉×#106	—	4	2	no	—
44	C₁₉×#106	—	4	2	no	—
45	C₁₉×C₄⋊C₈	—	2	1	no	—
46	C₁₉×C₄⋊C₈	—	2	1	no	—
47	C₁₉×C₄⋊C₈	—	2	1	no	—
48	C₁₉×C₄⋊C₈	—	2	1	no	—
49	C₁₉×C₄⋊C₈	—	2	1	no	—
50	C₁₉×C₄⋊C₈	—	2	1	no	—
51	C₁₉×#102	—	4	2	no	—
52	C₁₉×#102	—	4	2	no	—
53	C₁₉×C₂²⋊C₈	—	4	2	no	—
54	C₁₉×C₂²⋊C₈	—	4	2	no	—
55	C₄×C₈×C₁₉	—	2	1	no	—
56	C₄×C₈×C₁₉	—	2	1	no	—
57	C₂⁴×C₁₉	—	2	1	no	—
58	C₂×D₄×C₁₉	—	2	1	no	—
59	C₂×D₄×C₁₉	—	2	1	no	—
60	C₂×D₄×C₁₉	—	2	1	no	—
61	C₂×D₄×C₁₉	—	2	1	no	—
62	C₂×D₄×C₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	SD₁₆	1	2	yes	—
64	C₂²×C₄×C₁₉	—	2	1	no	—
65	C₂²×C₄×C₁₉	—	4	1	no	—
66	C₂²×C₄×C₁₉	—	4	1	no	—
67	C₂²×C₄×C₁₉	—	4	1	no	—
68	C₂²×C₄×C₁₉	—	4	1	no	—
69	C₂²×C₄×C₁₉	—	4	1	no	—
70	C₂²×C₄×C₁₉	—	4	1	no	—
71	C₂²×C₄×C₁₉	—	4	1	no	—
72	C₂²×C₄×C₁₉	—	4	1	no	—
73	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
76	C₂×C₈×C₁₉	—	2	1	no	—
77	C₂×C₈×C₁₉	—	2	1	no	—
78	C₂×C₈×C₁₉	—	2	1	no	—
79	C₂×C₈×C₁₉	—	2	1	no	—
80	C₂×C₈×C₁₉	—	4	1	no	—
81	C₂×C₈×C₁₉	—	4	1	no	—
82	C₂×C₈×C₁₉	—	4	1	no	—
83	C₂×C₈×C₁₉	—	4	1	no	—
84	C₂×C₈×C₁₉	—	4	1	no	—
85	C₂×C₈×C₁₉	—	4	1	no	—
86	C₂×C₈×C₁₉	—	4	1	no	—
87	C₂×C₈×C₁₉	—	4	1	no	—
88	C₂×C₈×C₁₉	—	4	1	no	—
89	C₂×C₈×C₁₉	D₈	1	2	yes	—
90	C₂×C₈×C₁₉	SD₁₆	1	2	yes	—
91	C₄⋊C₄×C₁₉	—	2	1	no	—
92	C₄⋊C₄×C₁₉	—	2	1	no	—
93	C₄⋊C₄×C₁₉	—	4	1	no	—
94	C₄⋊C₄×C₁₉	—	4	1	no	—
95	C₄⋊C₄×C₁₉	—	4	1	no	—
96	C₄⋊C₄×C₁₉	—	4	1	no	—
97	C₄⋊C₄×C₁₉	—	4	1	no	—
98	C₄⋊C₄×C₁₉	—	4	1	no	—
99	C₄⋊C₄×C₁₉	—	4	1	no	—
100	C₄⋊C₄×C₁₉	—	4	1	no	—
101	C₄⋊C₄×C₁₉	—	8	1	no	—
102	C₄⋊C₄×C₁₉	—	8	1	no	—
103	C₂²⋊C₄×C₁₉	—	4	1	no	—
104	C₂²⋊C₄×C₁₉	—	4	1	no	—
105	C₄²×C₁₉	#41	1	1	yes	characteristic
106	C₄²×C₁₉	#41	1	1	yes	characteristic
107	C₄²×C₁₉	#41	1	1	yes	characteristic
108	C₄²×C₁₉	#41	1	1	yes	characteristic
109	#10619	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
110	C₂³×C₁₉	—	2	2	no	—
111	C₂³×C₁₉	—	4	1	no	—
112	C₂³×C₁₉	—	4	1	no	—
113	C₂³×C₁₉	—	4	1	no	—
114	C₂³×C₁₉	—	4	1	no	—
115	C₂³×C₁₉	—	4	1	no	—
116	C₂³×C₁₉	—	4	1	no	—
117	C₂³×C₁₉	#121	1	1	yes	characteristic
118	D₄×C₁₉	—	2	2	no	—
119	D₄×C₁₉	—	2	2	no	—
120	D₄×C₁₉	—	4	1	no	—
121	D₄×C₁₉	—	4	1	no	—
122	C₂×C₄×C₁₉	—	2	1	no	—
123	C₂×C₄×C₁₉	—	2	1	no	—
124	C₂×C₄×C₁₉	—	4	1	no	—
125	C₂×C₄×C₁₉	—	4	1	no	—
126	C₂×C₄×C₁₉	—	4	1	no	—
127	C₂×C₄×C₁₉	—	8	1	no	—
128	C₂×C₄×C₁₉	—	8	1	no	—
129	C₂×C₄×C₁₉	—	8	1	no	—
130	C₂×C₄×C₁₉	—	8	1	no	—
131	C₂×C₄×C₁₉	—	8	1	no	—
132	C₂×C₄×C₁₉	—	8	1	no	—
133	C₂×C₄×C₁₉	—	8	1	no	—
134	C₂×C₄×C₁₉	—	8	1	no	—
135	C₂×C₄×C₁₉	—	8	1	no	—
136	C₂×C₄×C₁₉	—	8	1	no	—
137	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
138	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
139	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
140	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
141	C₂×C₄×C₁₉	#126	1	1	yes	characteristic
142	C₂×C₄×C₁₉	#126	1	1	yes	characteristic
143	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
146	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
147	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
148	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
149	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
150	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
151	C₈×C₁₉	—	2	2	no	—
152	C₈×C₁₉	—	2	2	no	—
153	C₈×C₁₉	—	8	1	no	—
154	C₈×C₁₉	—	8	1	no	—
155	C₈×C₁₉	—	8	1	no	—
156	#1954	C₂×C₁₉	1	1	yes	characteristic
157	#1844	C₂×C₁₉	1	1	yes	characteristic, complemented
158	#1802	C₂×C₁₉	1	1	yes	characteristic
159	#1802	C₂×C₁₉	1	1	yes	characteristic
160	#1296	C₂×C₁₉	1	1	yes	characteristic, complemented
161	#1296	C₂×C₁₉	1	1	yes	characteristic, complemented
162	#1277	C₂×C₁₉	1	1	yes	characteristic, complemented
163	C₂²×C₁₉	—	4	2	no	—
164	C₂²×C₁₉	—	4	2	no	—
165	C₂²×C₁₉	—	4	2	no	—
166	C₂²×C₁₉	—	8	1	no	—
167	C₂²×C₁₉	—	8	1	no	—
168	C₂²×C₁₉	—	8	1	no	—
169	C₂²×C₁₉	—	8	1	no	—
170	C₂²×C₁₉	#397	1	1	yes	characteristic
171	C₂²×C₁₉	#459	1	1	yes	characteristic
172	C₂²×C₁₉	#461	1	1	yes	characteristic
173	C₂²×C₁₉	#465	1	1	yes	characteristic
174	C₂²×C₁₉	#468	1	1	yes	characteristic
175	C₂²×C₁₉	#471	1	1	yes	characteristic
176	C₂²×C₁₉	#471	1	1	yes	characteristic
177	C₄×C₁₉	—	2	1	no	—
178	C₄×C₁₉	—	2	1	no	—
179	C₄×C₁₉	—	8	1	no	—
180	C₄×C₁₉	—	16	1	no	—
181	C₄×C₁₉	—	16	1	no	—
182	C₄×C₁₉	#480	1	1	yes	characteristic
183	C₄×C₁₉	#481	1	1	yes	characteristic
184	C₄×C₁₉	#481	1	1	yes	characteristic
185	C₄×C₁₉	#482	1	1	yes	characteristic
186	C₄×C₁₉	#483	1	1	yes	characteristic
187	C₄×C₁₉	#485	1	1	yes	characteristic
188	C₄×C₁₉	#486	1	1	yes	characteristic
189	C₄×C₁₉	#489	1	1	yes	characteristic
190	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
191	C₂×#106	—	2	1	no	—
192	C₂×#106	—	2	1	no	—
193	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
194	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
195	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
196	C₂×#102	—	2	1	no	—
197	C₂×#102	—	2	1	no	—
198	C₂×C₂²⋊C₈	—	2	1	no	—
199	C₂×C₂²⋊C₈	—	2	1	no	—
200	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
201	#384	C₂²×C₁₉	1	1	yes	characteristic
202	#384	C₂²×C₁₉	1	1	yes	characteristic
203	#340	—	2	1	no	—
204	#340	—	2	1	no	—
205	C₂×C₁₉	—	8	2	no	—
206	C₂×C₁₉	#1665	1	1	yes	characteristic
207	C₂×C₁₉	#1671	1	1	yes	characteristic
208	C₂×C₁₉	#1685	1	1	yes	characteristic
209	C₂×C₁₉	#1691	1	1	yes	characteristic
210	C₂×C₁₉	#2071	1	1	yes	characteristic
211	C₂×C₁₉	#2077	1	1	yes	characteristic
212	C₂×C₁₉	#2079	1	1	yes	characteristic
213	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
214	C₂³×C₄	—	2	1	no	—
215	C₂²×C₈	—	2	1	no	—
216	C₂²×C₈	—	2	1	no	—
217	C₂²×C₈	—	2	1	no	—
218	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
219	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
220	C₄×D₄	—	2	1	no	—
221	C₄×D₄	—	2	1	no	—
222	C₄×D₄	—	2	1	no	—
223	C₄×D₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
231	C₂×C₂²⋊C₄	—	2	1	no	—
232	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
233	#106	—	4	2	no	—
234	#106	—	4	2	no	—
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	—	2	1	no	—
237	C₄⋊C₈	—	2	1	no	—
238	C₄⋊C₈	—	2	1	no	—
239	C₄⋊C₈	—	2	1	no	—
240	C₄⋊C₈	—	2	1	no	—
241	#102	—	4	2	no	—
242	#102	—	4	2	no	—
243	C₂²⋊C₈	—	4	2	no	—
244	C₂²⋊C₈	—	4	2	no	—
245	C₄×C₈	—	2	1	no	—
246	C₄×C₈	—	2	1	no	—
247	C₁₉	#10619	1	1	yes	characteristic, direct product factor, Sylow
248	C₂⁴	—	2	1	no	—
249	C₂×D₄	—	2	1	no	—
250	C₂×D₄	—	2	1	no	—
251	C₂×D₄	—	2	1	no	—
252	C₂×D₄	—	2	1	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	SD₁₆×C₁₉	1	2	yes	—
255	C₂²×C₄	—	2	1	no	—
256	C₂²×C₄	—	4	1	no	—
257	C₂²×C₄	—	4	1	no	—
258	C₂²×C₄	—	4	1	no	—
259	C₂²×C₄	—	4	1	no	—
260	C₂²×C₄	—	4	1	no	—
261	C₂²×C₄	—	4	1	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
265	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
266	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
267	C₂×C₈	—	2	1	no	—
268	C₂×C₈	—	2	1	no	—
269	C₂×C₈	—	2	1	no	—
270	C₂×C₈	—	2	1	no	—
271	C₂×C₈	—	4	1	no	—
272	C₂×C₈	—	4	1	no	—
273	C₂×C₈	—	4	1	no	—
274	C₂×C₈	—	4	1	no	—
275	C₂×C₈	—	4	1	no	—
276	C₂×C₈	—	4	1	no	—
277	C₂×C₈	—	4	1	no	—
278	C₂×C₈	—	4	1	no	—
279	C₂×C₈	—	4	1	no	—
280	C₂×C₈	D₈×C₁₉	1	2	yes	—
281	C₂×C₈	SD₁₆×C₁₉	1	2	yes	—
282	C₄⋊C₄	—	2	1	no	—
283	C₄⋊C₄	—	2	1	no	—
284	C₄⋊C₄	—	4	1	no	—
285	C₄⋊C₄	—	4	1	no	—
286	C₄⋊C₄	—	4	1	no	—
287	C₄⋊C₄	—	4	1	no	—
288	C₄⋊C₄	—	4	1	no	—
289	C₄⋊C₄	—	4	1	no	—
290	C₄⋊C₄	—	4	1	no	—
291	C₄⋊C₄	—	4	1	no	—
292	C₄⋊C₄	—	8	1	no	—
293	C₄⋊C₄	—	8	1	no	—
294	C₂²⋊C₄	—	4	1	no	—
295	C₂²⋊C₄	—	4	1	no	—
296	C₄²	#41×C₁₉	1	1	yes	characteristic
297	C₄²	#41×C₁₉	1	1	yes	characteristic
298	C₄²	#41×C₁₉	1	1	yes	characteristic
299	C₄²	#41×C₁₉	1	1	yes	characteristic
300	C₂³	—	2	2	no	—
301	C₂³	—	4	1	no	—
302	C₂³	—	4	1	no	—
303	C₂³	—	4	1	no	—
304	C₂³	—	4	1	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	C₁₉×#121	1	1	yes	characteristic
308	D₄	—	2	2	no	—
309	D₄	—	2	2	no	—
310	D₄	—	4	1	no	—
311	D₄	—	4	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	4	1	no	—
315	C₂×C₄	—	4	1	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	8	1	no	—
318	C₂×C₄	—	8	1	no	—
319	C₂×C₄	—	8	1	no	—
320	C₂×C₄	—	8	1	no	—
321	C₂×C₄	—	8	1	no	—
322	C₂×C₄	—	8	1	no	—
323	C₂×C₄	—	8	1	no	—
324	C₂×C₄	—	8	1	no	—
325	C₂×C₄	—	8	1	no	—
326	C₂×C₄	—	8	1	no	—
327	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
328	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
329	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
330	C₂×C₄	C₁₉×#124	1	1	yes	characteristic
331	C₂×C₄	C₁₉×#126	1	1	yes	characteristic
332	C₂×C₄	C₁₉×#126	1	1	yes	characteristic
333	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
334	C₂×C₄	C₂×SD₁₆×C₁₉	1	1	yes	characteristic
335	C₂×C₄	C₂×SD₁₆×C₁₉	1	1	yes	characteristic
336	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
337	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
338	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
339	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
340	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
341	C₈	—	2	2	no	—
342	C₈	—	2	2	no	—
343	C₈	—	8	1	no	—
344	C₈	—	8	1	no	—
345	C₈	—	8	1	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	—	4	2	no	—
349	C₂²	—	8	1	no	—
350	C₂²	—	8	1	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	1	no	—
353	C₂²	C₁₉×#397	1	1	yes	characteristic
354	C₂²	C₁₉×#459	1	1	yes	characteristic
355	C₂²	C₁₉×#461	1	1	yes	characteristic
356	C₂²	C₁₉×#465	1	1	yes	characteristic
357	C₂²	C₁₉×#468	1	1	yes	characteristic
358	C₂²	C₁₉×#471	1	1	yes	characteristic
359	C₂²	C₁₉×#471	1	1	yes	characteristic
360	C₄	—	2	1	no	—
361	C₄	—	2	1	no	—
362	C₄	—	8	1	no	—
363	C₄	—	16	1	no	—
364	C₄	—	16	1	no	—
365	C₄	C₁₉×#480	1	1	yes	characteristic
366	C₄	C₁₉×#481	1	1	yes	characteristic
367	C₄	C₁₉×#481	1	1	yes	characteristic
368	C₄	C₁₉×#482	1	1	yes	characteristic
369	C₄	C₁₉×#483	1	1	yes	characteristic
370	C₄	C₁₉×#485	1	1	yes	characteristic
371	C₄	C₁₉×#486	1	1	yes	characteristic
372	C₄	C₁₉×#489	1	1	yes	characteristic
373	C₂	—	8	2	no	—
374	C₂	C₁₉×#1665	1	1	yes	characteristic
375	C₂	C₁₉×#1671	1	1	yes	characteristic
376	C₂	C₁₉×#1685	1	1	yes	characteristic
377	C₂	C₁₉×#1691	1	1	yes	characteristic
378	C₂	C₁₉×#2071	1	1	yes	characteristic
379	C₂	C₁₉×#2077	1	1	yes	characteristic
380	C₂	C₁₉×#2079	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	#121
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂²×D₄×C₁₉	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#1844	C₂	semidirect
5. C₁₉×#1296	C₂	semidirect
6. C₁₉×#1296	C₂	semidirect
7. C₁₉×#1277	C₂	semidirect
109. #10619	C₁₉	direct (N × H)
157. #1844	C₂×C₁₉	semidirect
160. #1296	C₂×C₁₉	semidirect
161. #1296	C₂×C₁₉	semidirect
162. #1277	C₂×C₁₉	semidirect
247. C₁₉	#10619	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×#1954	2
C₁₉×#1844	2
C₁₉×#1802	2
C₁₉×#1296	2
C₁₉×#1277	2
#10619	19

Subgroups — C19×#10619 #18016578

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10619 #18016578