Subgroups — C₁₉×#3401 #14561258

Order 2432.

368 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#556	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#497	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#496	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#495	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#464	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#464	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#463	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#463	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#461	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#460	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#446	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#442	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#441	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×SD₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
24	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
25	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₁₉×#127	C₂²	1	1	yes	characteristic
27	C₁₉×#126	—	2	1	no	—
28	C₁₉×#126	—	2	1	no	—
29	C₁₉×#124	—	2	1	no	—
30	C₁₉×#124	C₂²	1	1	yes	characteristic
31	C₁₉×#124	C₂²	1	1	yes	characteristic
32	C₁₉×#124	C₂²	1	1	yes	characteristic
33	C₁₉×#124	C₂²	1	1	yes	characteristic
34	C₁₉×#123	—	2	1	no	—
35	C₁₉×#123	—	2	1	no	—
36	C₁₉×C₂²⋊Q₈	—	2	1	no	—
37	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
38	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
39	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
40	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
41	C₄×D₄×C₁₉	—	2	1	no	—
42	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
43	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
44	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
45	C₁₉×#117	—	2	1	no	—
46	C₁₉×#106	C₂²	1	1	yes	characteristic
47	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
48	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
49	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
50	C₁₉×#103	C₂²	1	1	yes	characteristic
51	C₁₉×#103	C₂²	1	1	yes	characteristic
52	C₁₉×#103	C₂²	1	1	yes	characteristic
53	C₁₉×#102	C₂²	1	1	yes	characteristic
54	C₁₉×#102	C₂²	1	1	yes	characteristic
55	C₁₉×#102	C₂²	1	1	yes	characteristic
56	C₁₉×#97	C₂²	1	1	yes	characteristic
57	C₁₉×#97	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₁₉	D₄	1	1	yes	characteristic
60	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
61	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
62	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
63	C₂×D₄×C₁₉	—	2	1	no	—
64	C₂×D₄×C₁₉	—	2	1	no	—
65	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₉	—	2	1	no	—
69	C₂²×C₄×C₁₉	—	2	1	no	—
70	C₂²×C₄×C₁₉	—	2	1	no	—
71	Q₁₆×C₁₉	—	2	2	no	—
72	Q₁₆×C₁₉	—	4	1	no	—
73	SD₁₆×C₁₉	—	2	2	no	—
74	SD₁₆×C₁₉	—	4	1	no	—
75	SD₁₆×C₁₉	—	4	1	no	—
76	SD₁₆×C₁₉	—	4	1	no	—
77	SD₁₆×C₁₉	—	4	1	no	—
78	D₈×C₁₉	—	2	2	no	—
79	D₈×C₁₉	—	4	1	no	—
80	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
81	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
82	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
83	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
84	C₄⋊C₄×C₁₉	—	2	1	no	—
85	C₄⋊C₄×C₁₉	—	2	1	no	—
86	C₄⋊C₄×C₁₉	—	2	1	no	—
87	C₄⋊C₄×C₁₉	—	2	1	no	—
88	C₄⋊C₄×C₁₉	—	2	1	no	—
89	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
90	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
91	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
92	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
94	C₂²⋊C₄×C₁₉	—	2	1	no	—
95	C₂²⋊C₄×C₁₉	—	2	1	no	—
96	C₂²⋊C₄×C₁₉	—	2	1	no	—
97	C₂²⋊C₄×C₁₉	—	2	1	no	—
98	C₂²⋊C₄×C₁₉	—	2	1	no	—
99	C₂²⋊C₄×C₁₉	—	2	1	no	—
100	C₂²⋊C₄×C₁₉	—	2	1	no	—
101	C₂²⋊C₄×C₁₉	—	2	1	no	—
102	C₂²⋊C₄×C₁₉	—	2	1	no	—
103	C₂²⋊C₄×C₁₉	—	2	1	no	—
104	C₂²⋊C₄×C₁₉	—	2	1	no	—
105	C₄²×C₁₉	—	2	1	no	—
106	C₄²×C₁₉	—	2	1	no	—
107	C₄²×C₁₉	—	2	1	no	—
108	C₄²×C₁₉	C₂³	1	1	yes	characteristic
109	C₄²×C₁₉	C₂³	1	1	yes	characteristic
110	C₄²×C₁₉	C₂³	1	1	yes	characteristic
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	2	1	no	—
113	C₂³×C₁₉	—	2	1	no	—
114	Q₈×C₁₉	—	2	1	no	—
115	Q₈×C₁₉	—	2	1	no	—
116	Q₈×C₁₉	—	2	1	no	—
117	Q₈×C₁₉	—	2	1	no	—
118	Q₈×C₁₉	—	2	1	no	—
119	Q₈×C₁₉	—	2	1	no	—
120	Q₈×C₁₉	—	4	1	no	—
121	D₄×C₁₉	—	2	1	no	—
122	D₄×C₁₉	—	2	1	no	—
123	D₄×C₁₉	—	2	1	no	—
124	D₄×C₁₉	—	2	1	no	—
125	D₄×C₁₉	—	2	1	no	—
126	D₄×C₁₉	—	2	1	no	—
127	D₄×C₁₉	—	4	2	no	—
128	D₄×C₁₉	—	8	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	—	4	2	no	—
135	C₂×C₄×C₁₉	—	8	1	no	—
136	C₂×C₄×C₁₉	—	8	1	no	—
137	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
143	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
144	C₈×C₁₉	—	2	1	no	—
145	C₈×C₁₉	—	2	1	no	—
146	C₈×C₁₉	—	2	1	no	—
147	C₈×C₁₉	#41	1	2	yes	—
148	#3401	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	C₂²×D₄	1	1	yes	characteristic
159	C₄×C₁₉	—	2	1	no	—
160	C₄×C₁₉	—	2	1	no	—
161	C₄×C₁₉	—	2	1	no	—
162	C₄×C₁₉	—	2	1	no	—
163	C₄×C₁₉	—	2	1	no	—
164	C₄×C₁₉	—	2	1	no	—
165	C₄×C₁₉	—	4	1	no	—
166	C₄×C₁₉	—	4	1	no	—
167	C₄×C₁₉	—	4	1	no	—
168	C₄×C₁₉	—	4	1	no	—
169	C₄×C₁₉	—	4	1	no	—
170	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
171	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
172	#559	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#556	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#497	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#496	C₂×C₁₉	1	1	yes	characteristic
176	#495	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#464	C₂×C₁₉	1	1	yes	characteristic, complemented
178	#464	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#463	C₂×C₁₉	1	1	yes	characteristic, complemented
180	#463	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#461	C₂×C₁₉	1	1	yes	characteristic, complemented
182	#460	C₂×C₁₉	1	1	yes	characteristic, complemented
183	#446	C₂×C₁₉	1	1	yes	characteristic, complemented
184	#442	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#441	C₂×C₁₉	1	1	yes	characteristic, complemented
186	C₄×SD₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
187	C₂×C₁₉	—	8	1	no	—
188	C₂×C₁₉	—	8	1	no	—
189	C₂×C₁₉	—	8	1	no	—
190	C₂×C₁₉	#550	1	1	yes	characteristic
191	C₂×C₁₉	#575	1	1	yes	characteristic
192	C₂×C₁₉	#577	1	1	yes	characteristic
193	C₂×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
194	C₂×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
195	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
196	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
197	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
199	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×D₈	C₂²×C₁₉	1	1	yes	characteristic
201	C₂×D₈	C₂²×C₁₉	1	1	yes	characteristic
202	C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
203	#127	C₂²×C₁₉	1	1	yes	characteristic
204	#126	—	2	1	no	—
205	#126	—	2	1	no	—
206	#124	—	2	1	no	—
207	#124	C₂²×C₁₉	1	1	yes	characteristic
208	#124	C₂²×C₁₉	1	1	yes	characteristic
209	#124	C₂²×C₁₉	1	1	yes	characteristic
210	#124	C₂²×C₁₉	1	1	yes	characteristic
211	#123	—	2	1	no	—
212	#123	—	2	1	no	—
213	C₂²⋊Q₈	—	2	1	no	—
214	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
215	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
216	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
217	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
218	C₄×D₄	—	2	1	no	—
219	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
220	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
221	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
222	#117	—	2	1	no	—
223	#106	C₂²×C₁₉	1	1	yes	characteristic
224	C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
225	C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
226	C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
227	#103	C₂²×C₁₉	1	1	yes	characteristic
228	#103	C₂²×C₁₉	1	1	yes	characteristic
229	#103	C₂²×C₁₉	1	1	yes	characteristic
230	#102	C₂²×C₁₉	1	1	yes	characteristic
231	#102	C₂²×C₁₉	1	1	yes	characteristic
232	#102	C₂²×C₁₉	1	1	yes	characteristic
233	#97	C₂²×C₁₉	1	1	yes	characteristic
234	#97	C₂²×C₁₉	1	1	yes	characteristic
235	C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
236	C₁₉	#3401	1	1	yes	characteristic, direct product factor, Sylow
237	C₂×Q₈	D₄×C₁₉	1	1	yes	characteristic
238	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
239	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
240	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
241	C₂×D₄	—	2	1	no	—
242	C₂×D₄	—	2	1	no	—
243	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
244	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
245	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
246	C₂²×C₄	—	2	1	no	—
247	C₂²×C₄	—	2	1	no	—
248	C₂²×C₄	—	2	1	no	—
249	Q₁₆	—	2	2	no	—
250	Q₁₆	—	4	1	no	—
251	SD₁₆	—	2	2	no	—
252	SD₁₆	—	4	1	no	—
253	SD₁₆	—	4	1	no	—
254	SD₁₆	—	4	1	no	—
255	SD₁₆	—	4	1	no	—
256	D₈	—	2	2	no	—
257	D₈	—	4	1	no	—
258	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
259	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
260	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
261	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
262	C₄⋊C₄	—	2	1	no	—
263	C₄⋊C₄	—	2	1	no	—
264	C₄⋊C₄	—	2	1	no	—
265	C₄⋊C₄	—	2	1	no	—
266	C₄⋊C₄	—	2	1	no	—
267	C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
268	C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
269	C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
270	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
271	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
272	C₂²⋊C₄	—	2	1	no	—
273	C₂²⋊C₄	—	2	1	no	—
274	C₂²⋊C₄	—	2	1	no	—
275	C₂²⋊C₄	—	2	1	no	—
276	C₂²⋊C₄	—	2	1	no	—
277	C₂²⋊C₄	—	2	1	no	—
278	C₂²⋊C₄	—	2	1	no	—
279	C₂²⋊C₄	—	2	1	no	—
280	C₂²⋊C₄	—	2	1	no	—
281	C₂²⋊C₄	—	2	1	no	—
282	C₂²⋊C₄	—	2	1	no	—
283	C₄²	—	2	1	no	—
284	C₄²	—	2	1	no	—
285	C₄²	—	2	1	no	—
286	C₄²	C₂³×C₁₉	1	1	yes	characteristic
287	C₄²	C₂³×C₁₉	1	1	yes	characteristic
288	C₄²	C₂³×C₁₉	1	1	yes	characteristic
289	C₂³	—	2	1	no	—
290	C₂³	—	2	1	no	—
291	C₂³	—	2	1	no	—
292	Q₈	—	2	1	no	—
293	Q₈	—	2	1	no	—
294	Q₈	—	2	1	no	—
295	Q₈	—	2	1	no	—
296	Q₈	—	2	1	no	—
297	Q₈	—	2	1	no	—
298	Q₈	—	4	1	no	—
299	D₄	—	2	1	no	—
300	D₄	—	2	1	no	—
301	D₄	—	2	1	no	—
302	D₄	—	2	1	no	—
303	D₄	—	2	1	no	—
304	D₄	—	2	1	no	—
305	D₄	—	4	2	no	—
306	D₄	—	8	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	—	4	2	no	—
313	C₂×C₄	—	8	1	no	—
314	C₂×C₄	—	8	1	no	—
315	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
316	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
317	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
318	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
319	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
320	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
321	C₂×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
322	C₈	—	2	1	no	—
323	C₈	—	2	1	no	—
324	C₈	—	2	1	no	—
325	C₈	#41×C₁₉	1	2	yes	—
326	C₂²	—	4	1	no	—
327	C₂²	—	4	1	no	—
328	C₂²	—	4	1	no	—
329	C₂²	—	4	1	no	—
330	C₂²	—	4	1	no	—
331	C₂²	—	4	1	no	—
332	C₂²	—	4	1	no	—
333	C₂²	—	4	1	no	—
334	C₂²	—	4	1	no	—
335	C₂²	C₂²×D₄×C₁₉	1	1	yes	characteristic
336	C₄	—	2	1	no	—
337	C₄	—	2	1	no	—
338	C₄	—	2	1	no	—
339	C₄	—	2	1	no	—
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	4	1	no	—
343	C₄	—	4	1	no	—
344	C₄	—	4	1	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₄	C₂×#41×C₁₉	1	1	yes	characteristic
348	C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
349	C₂	—	8	1	no	—
350	C₂	—	8	1	no	—
351	C₂	—	8	1	no	—
352	C₂	C₁₉×#550	1	1	yes	characteristic
353	C₂	C₁₉×#575	1	1	yes	characteristic
354	C₂	C₁₉×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₁₉
prime radical	C₁₉×#496	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₄×Q₈×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#559	C₂	semidirect
2. C₁₉×#556	C₂	semidirect
3. C₁₉×#497	C₂	semidirect
5. C₁₉×#495	C₂	semidirect
6. C₁₉×#464	C₂	semidirect
7. C₁₉×#464	C₂	semidirect
8. C₁₉×#463	C₂	semidirect
9. C₁₉×#463	C₂	semidirect
10. C₁₉×#461	C₂	semidirect
11. C₁₉×#460	C₂	semidirect
12. C₁₉×#446	C₂	semidirect
13. C₁₉×#442	C₂	semidirect
14. C₁₉×#441	C₂	semidirect
15. C₄×SD₁₆×C₁₉	C₂	semidirect
148. #3401	C₁₉	direct (N × H)
172. #559	C₂×C₁₉	semidirect
173. #556	C₂×C₁₉	semidirect
174. #497	C₂×C₁₉	semidirect
176. #495	C₂×C₁₉	semidirect
177. #464	C₂×C₁₉	semidirect
178. #464	C₂×C₁₉	semidirect
179. #463	C₂×C₁₉	semidirect
180. #463	C₂×C₁₉	semidirect
181. #461	C₂×C₁₉	semidirect
182. #460	C₂×C₁₉	semidirect
183. #446	C₂×C₁₉	semidirect
184. #442	C₂×C₁₉	semidirect
185. #441	C₂×C₁₉	semidirect
186. C₄×SD₁₆	C₂×C₁₉	semidirect
236. C₁₉	#3401	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×#559	2
C₁₉×#556	2
C₁₉×#497	2
C₁₉×#496	2
C₁₉×#495	2
C₁₉×#464	2
C₁₉×#463	2
C₁₉×#461	2
C₁₉×#460	2
C₁₉×#446	2
C₁₉×#442	2
C₁₉×#441	2
C₄×SD₁₆×C₁₉	2
#3401	19

Subgroups — C19×#3401 #14561258

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#3401 #14561258