Subgroups — C₁₉×#19060 #18025019

Order 4864.

822 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3553	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3238	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#491	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1664	C₂	1	4	yes	maximal, complemented
5	C₁₉×#1663	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1662	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1534	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1532	C₂	1	2	yes	maximal, complemented
9	C₁₉×#564	C₂²	1	1	yes	characteristic
10	C₁₉×#563	C₂²	1	2	yes	—
11	C₁₉×#562	C₂²	1	1	yes	characteristic
12	C₁₉×#554	—	2	2	no	—
13	C₁₉×#553	—	2	2	no	—
14	C₁₉×#552	—	2	2	no	—
15	C₁₉×#541	—	2	2	no	—
16	C₁₉×#539	—	2	2	no	—
17	C₁₉×#539	—	2	2	no	—
18	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
19	C₁₉×#529	C₂²	1	2	yes	—
20	C₂×C₁₉×#125	C₂²	1	1	yes	characteristic
21	C₁₉×#501	C₂²	1	4	yes	—
22	C₁₉×#491	—	2	2	no	—
23	C₁₉×#491	C₂²	1	2	yes	—
24	C₁₉×#491	C₂²	1	2	yes	—
25	C₁₉×#489	C₂²	1	4	yes	—
26	C₁₉×#483	—	2	2	no	—
27	C₁₉×#480	—	2	2	no	—
28	C₁₉×#477	—	2	2	no	—
29	C₁₉×#476	—	2	2	no	—
30	C₁₉×#432	C₂²	1	2	yes	—
31	C₂×C₁₉×#103	—	2	2	no	—
32	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
33	C₁₉×#330	C₂²	1	2	yes	—
34	C₁₉×#330	C₂²	1	4	yes	—
35	C₁₉×#330	C₂²	1	2	yes	—
36	C₁₉×#329	C₂²	1	4	yes	—
37	C₂²×Q₈×C₁₉	—	2	1	no	—
38	C₂²×C₈×C₁₉	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	2	no	—
40	C₁₉×C₄⋊Q₈	—	2	2	no	—
41	C₁₉×C₄⋊Q₈	—	2	1	no	—
42	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
43	C₁₉×#126	—	2	2	no	—
44	C₁₉×#126	—	2	2	no	—
45	C₁₉×#126	—	2	2	no	—
46	C₁₉×#126	—	2	2	no	—
47	C₁₉×#126	—	2	2	no	—
48	C₁₉×#125	—	2	2	no	—
49	C₁₉×#125	—	2	2	no	—
50	C₁₉×#125	—	2	2	no	—
51	C₁₉×#125	—	2	2	no	—
52	C₁₉×#125	—	2	2	no	—
53	C₁₉×#125	—	2	2	no	—
54	C₁₉×#125	D₄	1	2	yes	—
55	C₁₉×#125	C₂³	1	1	yes	characteristic
56	C₁₉×#125	C₂³	1	1	yes	characteristic
57	C₁₉×#125	C₂³	1	2	yes	—
58	C₁₉×#124	C₂³	1	2	yes	—
59	C₁₉×#123	—	2	2	no	—
60	C₁₉×#123	—	2	2	no	—
61	C₁₉×#123	—	2	2	no	—
62	C₁₉×#123	—	2	2	no	—
63	C₁₉×#123	—	2	2	no	—
64	C₁₉×C₂²⋊Q₈	—	2	2	no	—
65	C₁₉×C₂²⋊Q₈	—	2	2	no	—
66	C₁₉×C₂²⋊Q₈	—	2	2	no	—
67	C₁₉×C₂²⋊Q₈	—	2	2	no	—
68	C₁₉×C₂²⋊Q₈	—	2	2	no	—
69	C₁₉×C₂²⋊Q₈	—	2	2	no	—
70	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
71	C₁₉×#121	—	2	2	no	—
72	C₁₉×#121	—	2	2	no	—
73	C₁₉×#121	D₄	1	2	yes	—
74	C₄×Q₈×C₁₉	—	2	2	no	—
75	C₄×Q₈×C₁₉	D₄	1	2	yes	—
76	C₄×D₄×C₁₉	—	2	2	no	—
77	C₄×D₄×C₁₉	—	2	2	no	—
78	C₄×D₄×C₁₉	—	2	2	no	—
79	C₄×D₄×C₁₉	—	2	2	no	—
80	C₄×D₄×C₁₉	D₄	1	2	yes	—
81	C₁₉×#117	—	2	2	no	—
82	C₁₉×#117	—	2	2	no	—
83	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
84	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
85	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
86	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
87	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
88	C₁₉×#107	—	2	4	no	—
89	C₁₉×#106	—	2	4	no	—
90	C₁₉×C₄⋊C₈	—	2	2	no	—
91	C₁₉×#103	—	2	4	no	—
92	C₁₉×#103	—	2	4	no	—
93	C₁₉×#103	—	2	4	no	—
94	C₁₉×#102	—	2	4	no	—
95	C₁₉×C₂²⋊C₈	—	2	2	no	—
96	C₁₉×#97	—	2	1	no	—
97	C₁₉×#97	C₂³	1	2	yes	—
98	C₁₉×#97	C₂³	1	4	yes	—
99	C₂×Q₈×C₁₉	—	2	2	no	—
100	C₂×Q₈×C₁₉	—	2	2	no	—
101	C₂×Q₈×C₁₉	—	4	4	no	—
102	C₂×Q₈×C₁₉	—	4	1	no	—
103	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
104	C₂×D₄×C₁₉	—	2	2	no	—
105	C₂×D₄×C₁₉	—	2	2	no	—
106	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₁₉	—	2	2	no	—
108	C₂²×C₄×C₁₉	—	2	2	no	—
109	C₂²×C₄×C₁₉	—	2	2	no	—
110	C₂²×C₄×C₁₉	—	2	2	no	—
111	C₂²×C₄×C₁₉	—	4	1	no	—
112	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
114	C₂×C₈×C₁₉	—	2	2	no	—
115	C₂×C₈×C₁₉	—	2	4	no	—
116	C₂×C₈×C₁₉	—	4	2	no	—
117	C₄⋊C₄×C₁₉	—	2	2	no	—
118	C₄⋊C₄×C₁₉	—	2	2	no	—
119	C₄⋊C₄×C₁₉	—	2	2	no	—
120	C₄⋊C₄×C₁₉	—	2	2	no	—
121	C₄⋊C₄×C₁₉	—	2	2	no	—
122	C₄⋊C₄×C₁₉	—	2	2	no	—
123	C₄⋊C₄×C₁₉	—	2	2	no	—
124	C₄⋊C₄×C₁₉	—	2	2	no	—
125	C₄⋊C₄×C₁₉	—	2	2	no	—
126	C₄⋊C₄×C₁₉	—	2	2	no	—
127	C₄⋊C₄×C₁₉	—	2	2	no	—
128	C₄⋊C₄×C₁₉	—	2	2	no	—
129	C₄⋊C₄×C₁₉	—	2	2	no	—
130	C₄⋊C₄×C₁₉	—	2	2	no	—
131	C₄⋊C₄×C₁₉	—	2	2	no	—
132	C₄⋊C₄×C₁₉	—	2	4	no	—
133	C₄⋊C₄×C₁₉	—	4	2	no	—
134	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
135	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
136	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
137	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
138	C₂²⋊C₄×C₁₉	—	2	2	no	—
139	C₂²⋊C₄×C₁₉	—	2	2	no	—
140	C₂²⋊C₄×C₁₉	—	2	2	no	—
141	C₂²⋊C₄×C₁₉	—	2	2	no	—
142	C₂²⋊C₄×C₁₉	—	2	2	no	—
143	C₂²⋊C₄×C₁₉	—	2	2	no	—
144	C₂²⋊C₄×C₁₉	—	2	2	no	—
145	C₂²⋊C₄×C₁₉	—	2	2	no	—
146	C₂²⋊C₄×C₁₉	—	2	2	no	—
147	C₄²×C₁₉	—	2	2	no	—
148	C₄²×C₁₉	—	2	2	no	—
149	C₄²×C₁₉	—	2	2	no	—
150	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₁₉	C₂×D₄	1	2	yes	—
152	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
153	#19060	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
154	C₂³×C₁₉	—	2	2	no	—
155	C₂³×C₁₉	#120	1	1	yes	characteristic
156	Q₈×C₁₉	—	4	2	no	—
157	Q₈×C₁₉	—	4	4	no	—
158	Q₈×C₁₉	—	8	2	no	—
159	Q₈×C₁₉	—	8	2	no	—
160	D₄×C₁₉	—	4	2	no	—
161	D₄×C₁₉	—	4	4	no	—
162	D₄×C₁₉	—	8	2	no	—
163	C₂×C₄×C₁₉	—	2	2	no	—
164	C₂×C₄×C₁₉	—	2	2	no	—
165	C₂×C₄×C₁₉	—	2	2	no	—
166	C₂×C₄×C₁₉	—	2	2	no	—
167	C₂×C₄×C₁₉	—	2	2	no	—
168	C₂×C₄×C₁₉	—	2	2	no	—
169	C₂×C₄×C₁₉	—	4	2	no	—
170	C₂×C₄×C₁₉	—	4	2	no	—
171	C₂×C₄×C₁₉	—	8	2	no	—
172	C₂×C₄×C₁₉	—	8	2	no	—
173	C₂×C₄×C₁₉	—	8	2	no	—
174	C₂×C₄×C₁₉	—	8	2	no	—
175	C₂×C₄×C₁₉	—	8	2	no	—
176	C₂×C₄×C₁₉	#120	1	2	yes	—
177	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
178	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
179	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
180	C₈×C₁₉	—	4	4	no	—
181	C₈×C₁₉	—	4	2	no	—
182	#3553	C₂×C₁₉	1	1	yes	characteristic
183	#3238	C₂×C₁₉	1	2	yes	complemented
184	C₂×#491	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#1664	C₂×C₁₉	1	4	yes	complemented
186	#1663	C₂×C₁₉	1	2	yes	complemented
187	#1662	C₂×C₁₉	1	2	yes	complemented
188	#1534	C₂×C₁₉	1	1	yes	characteristic, complemented
189	#1532	C₂×C₁₉	1	2	yes	complemented
190	C₂²×C₁₉	—	2	2	no	—
191	C₂²×C₁₉	—	4	2	no	—
192	C₂²×C₁₉	—	4	2	no	—
193	C₂²×C₁₉	—	4	2	no	—
194	C₂²×C₁₉	#454	1	2	yes	—
195	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
196	C₄×C₁₉	—	2	1	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	2	no	—
199	C₄×C₁₉	—	2	2	no	—
200	C₄×C₁₉	—	4	2	no	—
201	C₄×C₁₉	—	4	2	no	—
202	C₄×C₁₉	—	4	2	no	—
203	C₄×C₁₉	—	4	2	no	—
204	C₄×C₁₉	—	4	2	no	—
205	C₄×C₁₉	—	8	2	no	—
206	#564	C₂²×C₁₉	1	1	yes	characteristic
207	#563	C₂²×C₁₉	1	2	yes	—
208	#562	C₂²×C₁₉	1	1	yes	characteristic
209	#554	—	2	2	no	—
210	#553	—	2	2	no	—
211	#552	—	2	2	no	—
212	#541	—	2	2	no	—
213	#539	—	2	2	no	—
214	#539	—	2	2	no	—
215	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
216	#529	C₂²×C₁₉	1	2	yes	—
217	C₂×#125	C₂²×C₁₉	1	1	yes	characteristic
218	#501	C₂²×C₁₉	1	4	yes	—
219	#491	—	2	2	no	—
220	#491	C₂²×C₁₉	1	2	yes	—
221	#491	C₂²×C₁₉	1	2	yes	—
222	#489	C₂²×C₁₉	1	4	yes	—
223	#483	—	2	2	no	—
224	#480	—	2	2	no	—
225	#477	—	2	2	no	—
226	#476	—	2	2	no	—
227	#432	C₂²×C₁₉	1	2	yes	—
228	C₂×#103	—	2	2	no	—
229	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
230	#330	C₂²×C₁₉	1	2	yes	—
231	#330	C₂²×C₁₉	1	4	yes	—
232	#330	C₂²×C₁₉	1	2	yes	—
233	#329	C₂²×C₁₉	1	4	yes	—
234	C₂×C₁₉	—	2	2	no	—
235	C₂×C₁₉	—	8	2	no	—
236	C₂×C₁₉	C₂×#454	1	1	yes	characteristic
237	C₂×C₁₉	#3022	1	2	yes	—
238	C₂²×Q₈	—	2	1	no	—
239	C₂²×C₈	—	2	1	no	—
240	C₄⋊Q₈	—	2	2	no	—
241	C₄⋊Q₈	—	2	2	no	—
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
244	#126	—	2	2	no	—
245	#126	—	2	2	no	—
246	#126	—	2	2	no	—
247	#126	—	2	2	no	—
248	#126	—	2	2	no	—
249	#125	—	2	2	no	—
250	#125	—	2	2	no	—
251	#125	—	2	2	no	—
252	#125	—	2	2	no	—
253	#125	—	2	2	no	—
254	#125	—	2	2	no	—
255	#125	D₄×C₁₉	1	2	yes	—
256	#125	C₂³×C₁₉	1	1	yes	characteristic
257	#125	C₂³×C₁₉	1	1	yes	characteristic
258	#125	C₂³×C₁₉	1	2	yes	—
259	#124	C₂³×C₁₉	1	2	yes	—
260	#123	—	2	2	no	—
261	#123	—	2	2	no	—
262	#123	—	2	2	no	—
263	#123	—	2	2	no	—
264	#123	—	2	2	no	—
265	C₂²⋊Q₈	—	2	2	no	—
266	C₂²⋊Q₈	—	2	2	no	—
267	C₂²⋊Q₈	—	2	2	no	—
268	C₂²⋊Q₈	—	2	2	no	—
269	C₂²⋊Q₈	—	2	2	no	—
270	C₂²⋊Q₈	—	2	2	no	—
271	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
272	#121	—	2	2	no	—
273	#121	—	2	2	no	—
274	#121	D₄×C₁₉	1	2	yes	—
275	C₄×Q₈	—	2	2	no	—
276	C₄×Q₈	D₄×C₁₉	1	2	yes	—
277	C₄×D₄	—	2	2	no	—
278	C₄×D₄	—	2	2	no	—
279	C₄×D₄	—	2	2	no	—
280	C₄×D₄	—	2	2	no	—
281	C₄×D₄	D₄×C₁₉	1	2	yes	—
282	#117	—	2	2	no	—
283	#117	—	2	2	no	—
284	C₂×C₄⋊C₄	—	2	2	no	—
285	C₂×C₄⋊C₄	—	2	2	no	—
286	C₂×C₄⋊C₄	—	2	2	no	—
287	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
288	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
289	#107	—	2	4	no	—
290	#106	—	2	4	no	—
291	C₄⋊C₈	—	2	2	no	—
292	#103	—	2	4	no	—
293	#103	—	2	4	no	—
294	#103	—	2	4	no	—
295	#102	—	2	4	no	—
296	C₂²⋊C₈	—	2	2	no	—
297	#97	—	2	1	no	—
298	#97	C₂³×C₁₉	1	2	yes	—
299	#97	C₂³×C₁₉	1	4	yes	—
300	C₁₉	#19060	1	1	yes	characteristic, direct product factor, Sylow
301	C₂×Q₈	—	2	2	no	—
302	C₂×Q₈	—	2	2	no	—
303	C₂×Q₈	—	4	4	no	—
304	C₂×Q₈	—	4	1	no	—
305	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
306	C₂×D₄	—	2	2	no	—
307	C₂×D₄	—	2	2	no	—
308	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	2	2	no	—
311	C₂²×C₄	—	2	2	no	—
312	C₂²×C₄	—	2	2	no	—
313	C₂²×C₄	—	4	1	no	—
314	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
315	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	2	4	no	—
318	C₂×C₈	—	4	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	—	2	2	no	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	2	2	no	—
326	C₄⋊C₄	—	2	2	no	—
327	C₄⋊C₄	—	2	2	no	—
328	C₄⋊C₄	—	2	2	no	—
329	C₄⋊C₄	—	2	2	no	—
330	C₄⋊C₄	—	2	2	no	—
331	C₄⋊C₄	—	2	2	no	—
332	C₄⋊C₄	—	2	2	no	—
333	C₄⋊C₄	—	2	2	no	—
334	C₄⋊C₄	—	2	4	no	—
335	C₄⋊C₄	—	4	2	no	—
336	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
337	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
338	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
339	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
340	C₂²⋊C₄	—	2	2	no	—
341	C₂²⋊C₄	—	2	2	no	—
342	C₂²⋊C₄	—	2	2	no	—
343	C₂²⋊C₄	—	2	2	no	—
344	C₂²⋊C₄	—	2	2	no	—
345	C₂²⋊C₄	—	2	2	no	—
346	C₂²⋊C₄	—	2	2	no	—
347	C₂²⋊C₄	—	2	2	no	—
348	C₂²⋊C₄	—	2	2	no	—
349	C₄²	—	2	2	no	—
350	C₄²	—	2	2	no	—
351	C₄²	—	2	2	no	—
352	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
353	C₄²	C₂×D₄×C₁₉	1	2	yes	—
354	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
355	C₂³	—	2	2	no	—
356	C₂³	C₁₉×#120	1	1	yes	characteristic
357	Q₈	—	4	2	no	—
358	Q₈	—	4	4	no	—
359	Q₈	—	8	2	no	—
360	Q₈	—	8	2	no	—
361	D₄	—	4	2	no	—
362	D₄	—	4	4	no	—
363	D₄	—	8	2	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	8	2	no	—
373	C₂×C₄	—	8	2	no	—
374	C₂×C₄	—	8	2	no	—
375	C₂×C₄	—	8	2	no	—
376	C₂×C₄	—	8	2	no	—
377	C₂×C₄	C₁₉×#120	1	2	yes	—
378	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
379	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
380	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
381	C₈	—	4	2	no	—
382	C₈	—	4	4	no	—
383	C₂²	—	2	2	no	—
384	C₂²	—	4	2	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	4	2	no	—
387	C₂²	C₁₉×#454	1	2	yes	—
388	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	2	no	—
392	C₄	—	2	2	no	—
393	C₄	—	4	2	no	—
394	C₄	—	4	2	no	—
395	C₄	—	4	2	no	—
396	C₄	—	4	2	no	—
397	C₄	—	4	2	no	—
398	C₄	—	8	2	no	—
399	C₂	—	2	2	no	—
400	C₂	—	8	2	no	—
401	C₂	C₂×C₁₉×#454	1	1	yes	characteristic
402	C₂	C₁₉×#3022	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
prime radical	C₁₉×#3553	C₂
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3238	C₂	semidirect
3. C₂×C₁₉×#491	C₂	semidirect
4. C₁₉×#1664	C₂	semidirect
5. C₁₉×#1663	C₂	semidirect
6. C₁₉×#1662	C₂	semidirect
7. C₁₉×#1534	C₂	semidirect
8. C₁₉×#1532	C₂	semidirect
153. #19060	C₁₉	direct (N × H)
183. #3238	C₂×C₁₉	semidirect
184. C₂×#491	C₂×C₁₉	semidirect
185. #1664	C₂×C₁₉	semidirect
186. #1663	C₂×C₁₉	semidirect
187. #1662	C₂×C₁₉	semidirect
188. #1534	C₂×C₁₉	semidirect
189. #1532	C₂×C₁₉	semidirect
300. C₁₉	#19060	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×#3553	2
C₁₉×#3238	2
C₂×C₁₉×#491	2
C₁₉×#1664	2
C₁₉×#1663	2
C₁₉×#1662	2
C₁₉×#1534	2
C₁₉×#1532	2
#19060	19

Subgroups — C19×#19060 #18025019

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#19060 #18025019