Subgroups — C₁₉×#9321 #18015280

Order 4864.

474 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3079	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2989	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1981	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1806	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1549	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1303	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1292	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
10	C₁₉×#477	C₄	1	2	yes	complemented
11	C₁₉×#476	C₄	1	2	yes	complemented
12	C₁₉×#475	—	2	1	no	—
13	C₁₉×#474	—	2	1	no	—
14	C₁₉×#446	—	2	1	no	—
15	C₁₉×#436	—	2	1	no	—
16	C₁₉×#435	—	2	2	no	—
17	C₁₉×#432	—	2	1	no	—
18	C₁₉×#431	C₂²	1	1	yes	characteristic
19	C₁₉×#428	—	2	1	no	—
20	C₁₉×#423	—	2	1	no	—
21	C₁₉×#423	C₂²	1	1	yes	characteristic
22	C₁₉×#423	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₉×#104	—	2	1	no	—
25	C₁₉×#417	—	2	1	no	—
26	C₂×C₁₉×#103	—	2	2	no	—
27	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#339	—	2	1	no	—
29	C₁₉×#332	—	2	1	no	—
30	C₁₉×#332	—	2	1	no	—
31	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
32	C₂²×Q₈×C₁₉	—	2	1	no	—
33	C₂×M₁₆×C₁₉	—	2	1	no	—
34	C₂×M₁₆×C₁₉	—	2	2	no	—
35	C₂×M₁₆×C₁₉	—	2	1	no	—
36	C₂²×C₈×C₁₉	D₄	1	2	yes	—
37	C₁₉×C₄⋊Q₈	—	2	1	no	—
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	1	no	—
40	C₁₉×C₄⋊Q₈	C₂×C₄	1	2	yes	—
41	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
42	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
43	C₄×D₄×C₁₉	—	2	1	no	—
44	C₄×D₄×C₁₉	—	2	1	no	—
45	C₄×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
46	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
47	C₁₉×#117	—	2	1	no	—
48	C₁₉×#117	D₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
50	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
51	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
52	C₂×C₄²×C₁₉	—	2	1	no	—
53	C₂×C₄²×C₁₉	—	2	1	no	—
54	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
55	C₁₉×#107	—	2	2	no	—
56	C₁₉×#106	—	2	2	no	—
57	C₁₉×C₄⋊C₈	—	2	2	no	—
58	C₁₉×C₄⋊C₈	—	2	1	no	—
59	C₁₉×C₄⋊C₈	—	2	1	no	—
60	C₁₉×C₄⋊C₈	—	2	1	no	—
61	C₁₉×C₄⋊C₈	—	2	1	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	C₂×C₄	1	2	yes	—
64	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
65	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
66	C₁₉×#104	—	4	2	no	—
67	C₁₉×#103	—	2	2	no	—
68	C₁₉×#103	—	4	4	no	—
69	C₁₉×#102	—	2	2	no	—
70	C₁₉×C₂²⋊C₈	—	2	2	no	—
71	C₁₉×C₂²⋊C₈	—	2	1	no	—
72	C₁₉×#97	—	2	2	no	—
73	C₄×C₈×C₁₉	—	2	1	no	—
74	C₁₉×#95	—	2	1	no	—
75	#41×C₁₉	—	2	1	no	—
76	#41×C₁₉	—	2	1	no	—
77	#41×C₁₉	—	2	1	no	—
78	#41×C₁₉	—	2	1	no	—
79	C₂×Q₈×C₁₉	—	2	2	no	—
80	C₂×Q₈×C₁₉	—	4	2	no	—
81	C₂×Q₈×C₁₉	—	4	2	no	—
82	C₂×Q₈×C₁₉	—	4	1	no	—
83	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×D₄×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	—	2	1	no	—
87	C₂²×C₄×C₁₉	—	2	1	no	—
88	C₂²×C₄×C₁₉	—	2	1	no	—
89	C₂²×C₄×C₁₉	—	4	1	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
94	M₁₆×C₁₉	—	4	1	no	—
95	M₁₆×C₁₉	—	4	1	no	—
96	M₁₆×C₁₉	—	4	1	no	—
97	M₁₆×C₁₉	—	4	1	no	—
98	M₁₆×C₁₉	—	8	2	no	—
99	C₂×C₈×C₁₉	—	2	2	no	—
100	C₂×C₈×C₁₉	—	2	2	no	—
101	C₂×C₈×C₁₉	—	2	1	no	—
102	C₂×C₈×C₁₉	—	2	1	no	—
103	C₂×C₈×C₁₉	—	4	2	no	—
104	C₂×C₈×C₁₉	—	4	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	—	2	1	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	2	no	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	—	4	1	no	—
111	C₄⋊C₄×C₁₉	—	4	1	no	—
112	C₄⋊C₄×C₁₉	—	4	1	no	—
113	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
114	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
115	C₂²⋊C₄×C₁₉	—	2	1	no	—
116	C₂²⋊C₄×C₁₉	—	2	1	no	—
117	C₂²⋊C₄×C₁₉	—	2	1	no	—
118	C₄²×C₁₉	—	2	1	no	—
119	C₄²×C₁₉	—	2	1	no	—
120	C₄²×C₁₉	—	2	1	no	—
121	C₄²×C₁₉	—	4	1	no	—
122	C₄²×C₁₉	—	4	1	no	—
123	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
124	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₉	#41	1	1	yes	characteristic
127	#9321	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂³×C₁₉	—	2	1	no	—
129	C₂³×C₁₉	#121	1	1	yes	characteristic
130	Q₈×C₁₉	—	2	1	no	—
131	Q₈×C₁₉	—	2	1	no	—
132	Q₈×C₁₉	—	4	4	no	—
133	Q₈×C₁₉	—	8	1	no	—
134	Q₈×C₁₉	—	8	1	no	—
135	D₄×C₁₉	—	2	1	no	—
136	D₄×C₁₉	—	2	1	no	—
137	D₄×C₁₉	—	4	1	no	—
138	D₄×C₁₉	—	4	1	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	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	8	1	no	—
153	C₂×C₄×C₁₉	—	8	2	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
161	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
165	C₈×C₁₉	—	4	2	no	—
166	C₈×C₁₉	—	4	2	no	—
167	C₈×C₁₉	—	4	1	no	—
168	C₈×C₁₉	—	4	1	no	—
169	C₈×C₁₉	—	8	1	no	—
170	#3079	C₂×C₁₉	1	1	yes	characteristic
171	#2989	C₂×C₁₉	1	1	yes	characteristic
172	#1981	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#1806	C₂×C₁₉	1	1	yes	characteristic
174	#1549	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#1303	C₂×C₁₉	1	1	yes	characteristic, complemented
176	#1292	C₂×C₁₉	1	1	yes	characteristic, complemented
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	2	1	no	—
179	C₂²×C₁₉	—	4	1	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	—	4	1	no	—
182	C₂²×C₁₉	#386	1	1	yes	characteristic
183	C₂²×C₁₉	#468	1	1	yes	characteristic
184	C₂²×C₁₉	#470	1	1	yes	characteristic
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	—	4	1	no	—
190	C₄×C₁₉	—	4	1	no	—
191	C₄×C₁₉	—	8	2	no	—
192	C₄×C₁₉	—	8	2	no	—
193	C₄×C₁₉	#417	1	1	yes	characteristic
194	C₄×C₁₉	#419	1	1	yes	characteristic
195	C₄×C₁₉	#453	1	1	yes	characteristic
196	C₄×C₁₉	#454	1	1	yes	characteristic
197	C₄×C₁₉	#468	1	1	yes	characteristic
198	C₄×C₁₉	#470	1	1	yes	characteristic
199	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
200	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
201	#477	C₄×C₁₉	1	2	yes	complemented
202	#476	C₄×C₁₉	1	2	yes	complemented
203	#475	—	2	1	no	—
204	#474	—	2	1	no	—
205	#446	—	2	1	no	—
206	#436	—	2	1	no	—
207	#435	—	2	2	no	—
208	#432	—	2	1	no	—
209	#431	C₂²×C₁₉	1	1	yes	characteristic
210	#428	—	2	1	no	—
211	#423	—	2	1	no	—
212	#423	C₂²×C₁₉	1	1	yes	characteristic
213	#423	C₂²×C₁₉	1	1	yes	characteristic
214	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
215	C₂×#104	—	2	1	no	—
216	#417	—	2	1	no	—
217	C₂×#103	—	2	2	no	—
218	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
219	#339	—	2	1	no	—
220	#332	—	2	1	no	—
221	#332	—	2	1	no	—
222	C₂×C₁₉	—	2	1	no	—
223	C₂×C₁₉	—	2	1	no	—
224	C₂×C₁₉	—	8	1	no	—
225	C₂×C₁₉	#1883	1	1	yes	characteristic
226	C₂×C₁₉	#1894	1	1	yes	characteristic
227	C₂×C₁₉	#1902	1	1	yes	characteristic
228	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
229	C₂²×Q₈	—	2	1	no	—
230	C₂×M₁₆	—	2	1	no	—
231	C₂×M₁₆	—	2	2	no	—
232	C₂×M₁₆	—	2	1	no	—
233	C₂²×C₈	D₄×C₁₉	1	2	yes	—
234	C₄⋊Q₈	—	2	1	no	—
235	C₄⋊Q₈	—	2	1	no	—
236	C₄⋊Q₈	—	2	1	no	—
237	C₄⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
238	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
239	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	—	2	1	no	—
242	C₄×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
243	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
244	#117	—	2	1	no	—
245	#117	D₄×C₁₉	1	1	yes	characteristic
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	1	no	—
248	C₂×C₄⋊C₄	—	2	1	no	—
249	C₂×C₄²	—	2	1	no	—
250	C₂×C₄²	—	2	1	no	—
251	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
252	#107	—	2	2	no	—
253	#106	—	2	2	no	—
254	C₄⋊C₈	—	2	2	no	—
255	C₄⋊C₈	—	2	1	no	—
256	C₄⋊C₈	—	2	1	no	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	2	1	no	—
259	C₄⋊C₈	—	2	1	no	—
260	C₄⋊C₈	C₂×C₄×C₁₉	1	2	yes	—
261	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
262	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
263	#104	—	4	2	no	—
264	#103	—	2	2	no	—
265	#103	—	4	4	no	—
266	#102	—	2	2	no	—
267	C₂²⋊C₈	—	2	2	no	—
268	C₂²⋊C₈	—	2	1	no	—
269	#97	—	2	2	no	—
270	C₄×C₈	—	2	1	no	—
271	#95	—	2	1	no	—
272	C₁₉	#9321	1	1	yes	characteristic, direct product factor, Sylow
273	#41	—	2	1	no	—
274	#41	—	2	1	no	—
275	#41	—	2	1	no	—
276	#41	—	2	1	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	4	2	no	—
279	C₂×Q₈	—	4	2	no	—
280	C₂×Q₈	—	4	1	no	—
281	C₂×Q₈	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
282	C₂×D₄	—	2	1	no	—
283	C₂×D₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
284	C₂²×C₄	—	2	1	no	—
285	C₂²×C₄	—	2	1	no	—
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	4	1	no	—
289	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
290	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
291	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
292	M₁₆	—	4	1	no	—
293	M₁₆	—	4	1	no	—
294	M₁₆	—	4	1	no	—
295	M₁₆	—	4	1	no	—
296	M₁₆	—	8	2	no	—
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	2	2	no	—
301	C₂×C₈	—	4	2	no	—
302	C₂×C₈	—	4	1	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
312	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	2	1	no	—
316	C₄²	—	2	1	no	—
317	C₄²	—	2	1	no	—
318	C₄²	—	2	1	no	—
319	C₄²	—	4	1	no	—
320	C₄²	—	4	1	no	—
321	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
322	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
323	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
324	C₄²	#41×C₁₉	1	1	yes	characteristic
325	C₂³	—	2	1	no	—
326	C₂³	C₁₉×#121	1	1	yes	characteristic
327	Q₈	—	2	1	no	—
328	Q₈	—	2	1	no	—
329	Q₈	—	4	4	no	—
330	Q₈	—	8	1	no	—
331	Q₈	—	8	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	2	1	no	—
334	D₄	—	4	1	no	—
335	D₄	—	4	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	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	—	8	1	no	—
351	C₂×C₄	—	8	1	no	—
352	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
353	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
354	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
355	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
357	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
358	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
359	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
360	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
361	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
362	C₈	—	4	2	no	—
363	C₈	—	4	2	no	—
364	C₈	—	4	1	no	—
365	C₈	—	4	1	no	—
366	C₈	—	8	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	4	1	no	—
372	C₂²	C₁₉×#386	1	1	yes	characteristic
373	C₂²	C₁₉×#468	1	1	yes	characteristic
374	C₂²	C₁₉×#470	1	1	yes	characteristic
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	4	1	no	—
379	C₄	—	4	1	no	—
380	C₄	—	4	1	no	—
381	C₄	—	8	2	no	—
382	C₄	—	8	2	no	—
383	C₄	C₁₉×#417	1	1	yes	characteristic
384	C₄	C₁₉×#419	1	1	yes	characteristic
385	C₄	C₁₉×#453	1	1	yes	characteristic
386	C₄	C₁₉×#454	1	1	yes	characteristic
387	C₄	C₁₉×#468	1	1	yes	characteristic
388	C₄	C₁₉×#470	1	1	yes	characteristic
389	C₂	—	2	1	no	—
390	C₂	—	2	1	no	—
391	C₂	—	8	1	no	—
392	C₂	C₁₉×#1883	1	1	yes	characteristic
393	C₂	C₁₉×#1894	1	1	yes	characteristic
394	C₂	C₁₉×#1902	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₄²	C₂²×C₄×C₁₉
Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂×#41×C₁₉	D₄
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
3. C₁₉×#1981	C₂	semidirect
5. C₁₉×#1549	C₂	semidirect
6. C₁₉×#1303	C₂	semidirect
7. C₁₉×#1292	C₂	semidirect
10. C₁₉×#477	C₄	semidirect
11. C₁₉×#476	C₄	semidirect
127. #9321	C₁₉	direct (N × H)
172. #1981	C₂×C₁₉	semidirect
174. #1549	C₂×C₁₉	semidirect
175. #1303	C₂×C₁₉	semidirect
176. #1292	C₂×C₁₉	semidirect
201. #477	C₄×C₁₉	semidirect
202. #476	C₄×C₁₉	semidirect
272. C₁₉	#9321	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×#3079	2
C₁₉×#2989	2
C₁₉×#1981	2
C₁₉×#1806	2
C₁₉×#1549	2
C₁₉×#1303	2
C₁₉×#1292	2
#9321	19

Subgroups — C19×#9321 #18015280

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9321 #18015280