Subgroups — C₁₉×#17407 #18023366

Order 4864.

948 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#542	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2973	C₂	1	2	yes	maximal, complemented
3	C₁₉×#1472	C₂	1	4	yes	maximal, complemented
4	C₁₉×#1468	C₂	1	4	yes	maximal, complemented
5	C₁₉×#1467	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1464	C₂	1	2	yes	maximal, complemented
7	C₁₉×#542	—	2	8	no	—
8	C₂×C₁₉×C₄⋊Q₈	C₄	1	1	yes	characteristic
9	C₂×C₁₉×#126	C₄	1	2	yes	—
10	C₂×C₁₉×#124	C₄	1	1	yes	characteristic
11	C₂×C₁₉×#124	C₄	1	2	yes	—
12	C₂×C₁₉×#123	C₂²	1	2	yes	—
13	C₂×C₁₉×C₂²⋊Q₈	C₄	1	1	yes	characteristic
14	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
15	C₂×C₁₉×#121	C₄	1	1	yes	characteristic
16	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
19	C₁₉×#435	—	2	8	no	—
20	C₁₉×#432	C₂²	1	4	yes	—
21	C₁₉×#407	C₂²	1	4	yes	—
22	C₂×C₁₉×C₂²⋊C₈	C₂²	1	4	yes	—
23	C₁₉×#324	C₂²	1	4	yes	—
24	C₁₉×#324	C₂²	1	8	yes	—
25	C₁₉×#323	C₂²	1	4	yes	—
26	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
27	C₂²×Q₈×C₁₉	C₂×C₄	1	2	yes	—
28	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
29	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
32	C₂×M₁₆×C₁₉	—	2	4	no	—
33	C₂²×C₈×C₁₉	—	2	4	no	—
34	C₁₉×C₄⋊Q₈	—	2	4	no	—
35	C₁₉×#126	—	2	8	no	—
36	C₁₉×#124	—	2	4	no	—
37	C₁₉×#124	—	2	8	no	—
38	C₁₉×#123	—	2	4	no	—
39	C₁₉×#123	—	2	4	no	—
40	C₁₉×C₂²⋊Q₈	—	2	4	no	—
41	C₁₉×C₂²⋊Q₈	—	2	4	no	—
42	C₁₉×C₂²⋊Q₈	—	2	4	no	—
43	C₁₉×#121	—	2	4	no	—
44	C₄×Q₈×C₁₉	—	2	4	no	—
45	C₄×D₄×C₁₉	D₄	1	8	yes	—
46	C₁₉×#117	—	2	4	no	—
47	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
48	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
50	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
51	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
52	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
54	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
56	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
57	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
58	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
59	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
60	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
61	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
62	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
63	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
64	C₁₉×C₄⋊C₈	—	2	4	no	—
65	C₁₉×C₂²⋊C₈	—	2	4	no	—
66	C₁₉×C₂²⋊C₈	—	2	4	no	—
67	C₁₉×C₂²⋊C₈	C₂³	1	8	yes	—
68	C₁₉×#97	—	2	4	no	—
69	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
70	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
71	C₂×Q₈×C₁₉	—	2	2	no	—
72	C₂×Q₈×C₁₉	—	2	4	no	—
73	C₂×Q₈×C₁₉	—	4	2	no	—
74	C₂×Q₈×C₁₉	—	8	2	no	—
75	C₂×D₄×C₁₉	—	2	4	no	—
76	C₂×D₄×C₁₉	—	4	2	no	—
77	C₂×D₄×C₁₉	—	8	2	no	—
78	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
79	C₂²×C₄×C₁₉	—	2	2	no	—
80	C₂²×C₄×C₁₉	—	4	2	no	—
81	C₂²×C₄×C₁₉	—	8	2	no	—
82	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
90	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
91	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
92	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
93	M₁₆×C₁₉	—	8	4	no	—
94	C₂×C₈×C₁₉	—	2	8	no	—
95	C₂×C₈×C₁₉	—	8	4	no	—
96	C₄⋊C₄×C₁₉	—	2	2	no	—
97	C₄⋊C₄×C₁₉	—	2	2	no	—
98	C₄⋊C₄×C₁₉	—	2	4	no	—
99	C₄⋊C₄×C₁₉	—	2	4	no	—
100	C₄⋊C₄×C₁₉	—	2	2	no	—
101	C₄⋊C₄×C₁₉	—	2	2	no	—
102	C₄⋊C₄×C₁₉	—	2	2	no	—
103	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
104	C₂²⋊C₄×C₁₉	—	2	4	no	—
105	C₂²⋊C₄×C₁₉	—	2	4	no	—
106	C₂²⋊C₄×C₁₉	—	2	4	no	—
107	C₂²⋊C₄×C₁₉	—	2	2	no	—
108	C₂²⋊C₄×C₁₉	—	2	4	no	—
109	C₂²⋊C₄×C₁₉	—	2	2	no	—
110	C₂²⋊C₄×C₁₉	C₂²⋊C₄	1	8	yes	—
111	C₄²×C₁₉	—	2	2	no	—
112	C₄²×C₁₉	—	2	4	no	—
113	C₄²×C₁₉	C₂×D₄	1	4	yes	—
114	#17407	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
115	C₂³×C₁₉	—	2	4	no	—
116	C₂³×C₁₉	—	2	1	no	—
117	C₂³×C₁₉	—	2	2	no	—
118	C₂³×C₁₉	—	4	2	no	—
119	C₂³×C₁₉	—	4	2	no	—
120	C₂³×C₁₉	—	4	1	no	—
121	C₂³×C₁₉	—	4	1	no	—
122	C₂³×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
123	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
124	Q₈×C₁₉	—	4	4	no	—
125	Q₈×C₁₉	—	8	4	no	—
126	D₄×C₁₉	—	4	4	no	—
127	D₄×C₁₉	—	8	4	no	—
128	C₂×C₄×C₁₉	—	2	2	no	—
129	C₂×C₄×C₁₉	—	2	1	no	—
130	C₂×C₄×C₁₉	—	2	2	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	2	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	2	no	—
135	C₂×C₄×C₁₉	—	2	4	no	—
136	C₂×C₄×C₁₉	—	4	4	no	—
137	C₂×C₄×C₁₉	—	4	4	no	—
138	C₂×C₄×C₁₉	—	4	1	no	—
139	C₂×C₄×C₁₉	—	4	2	no	—
140	C₂×C₄×C₁₉	—	4	1	no	—
141	C₂×C₄×C₁₉	—	4	4	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
146	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
147	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
148	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
149	C₈×C₁₉	—	4	8	no	—
150	C₂×#542	C₂×C₁₉	1	1	yes	characteristic
151	#2973	C₂×C₁₉	1	2	yes	complemented
152	#1472	C₂×C₁₉	1	4	yes	complemented
153	#1468	C₂×C₁₉	1	4	yes	complemented
154	#1467	C₂×C₁₉	1	2	yes	complemented
155	#1464	C₂×C₁₉	1	2	yes	complemented
156	C₂²×C₁₉	—	2	1	no	—
157	C₂²×C₁₉	—	2	1	no	—
158	C₂²×C₁₉	—	2	4	no	—
159	C₂²×C₁₉	—	2	4	no	—
160	C₂²×C₁₉	—	2	4	no	—
161	C₂²×C₁₉	—	4	1	no	—
162	C₂²×C₁₉	—	4	1	no	—
163	C₂²×C₁₉	—	4	1	no	—
164	C₂²×C₁₉	—	8	4	no	—
165	C₂²×C₁₉	—	8	2	no	—
166	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
167	C₂²×C₁₉	#568	1	2	yes	—
168	C₄×C₁₉	—	2	2	no	—
169	C₄×C₁₉	—	2	2	no	—
170	C₄×C₁₉	—	2	4	no	—
171	C₄×C₁₉	—	2	2	no	—
172	C₄×C₁₉	—	4	1	no	—
173	C₄×C₁₉	—	4	2	no	—
174	C₄×C₁₉	—	4	2	no	—
175	C₄×C₁₉	—	4	1	no	—
176	C₄×C₁₉	—	4	1	no	—
177	#542	—	2	8	no	—
178	C₂×C₄⋊Q₈	C₄×C₁₉	1	1	yes	characteristic
179	C₂×#126	C₄×C₁₉	1	2	yes	—
180	C₂×#124	C₄×C₁₉	1	1	yes	characteristic
181	C₂×#124	C₄×C₁₉	1	2	yes	—
182	C₂×#123	C₂²×C₁₉	1	2	yes	—
183	C₂×C₂²⋊Q₈	C₄×C₁₉	1	1	yes	characteristic
184	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
185	C₂×#121	C₄×C₁₉	1	1	yes	characteristic
186	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
187	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
188	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
189	#435	—	2	8	no	—
190	#432	C₂²×C₁₉	1	4	yes	—
191	#407	C₂²×C₁₉	1	4	yes	—
192	C₂×C₂²⋊C₈	C₂²×C₁₉	1	4	yes	—
193	#324	C₂²×C₁₉	1	4	yes	—
194	#324	C₂²×C₁₉	1	8	yes	—
195	#323	C₂²×C₁₉	1	4	yes	—
196	C₂×C₁₉	—	2	2	no	—
197	C₂×C₁₉	—	4	4	no	—
198	C₂×C₁₉	—	8	1	no	—
199	C₂×C₁₉	#2879	1	1	yes	characteristic
200	C₂×C₁₉	#2883	1	1	yes	characteristic
201	C₂×C₁₉	#2889	1	1	yes	characteristic
202	C₂²×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
203	C₂²×Q₈	C₂×C₄×C₁₉	1	2	yes	—
204	C₂²×D₄	C₂×C₄×C₁₉	1	2	yes	—
205	C₂²×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
206	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
207	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
208	C₂×M₁₆	—	2	4	no	—
209	C₂²×C₈	—	2	4	no	—
210	C₄⋊Q₈	—	2	4	no	—
211	#126	—	2	8	no	—
212	#124	—	2	4	no	—
213	#124	—	2	8	no	—
214	#123	—	2	4	no	—
215	#123	—	2	4	no	—
216	C₂²⋊Q₈	—	2	4	no	—
217	C₂²⋊Q₈	—	2	4	no	—
218	C₂²⋊Q₈	—	2	4	no	—
219	#121	—	2	4	no	—
220	C₄×Q₈	—	2	4	no	—
221	C₄×D₄	D₄×C₁₉	1	8	yes	—
222	#117	—	2	4	no	—
223	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
224	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
225	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
226	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
227	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
229	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
230	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
231	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
232	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
233	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
234	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
235	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
236	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
237	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
238	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
239	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
240	C₄⋊C₈	—	2	4	no	—
241	C₂²⋊C₈	—	2	4	no	—
242	C₂²⋊C₈	—	2	4	no	—
243	C₂²⋊C₈	C₂³×C₁₉	1	8	yes	—
244	#97	—	2	4	no	—
245	C₁₉	#17407	1	1	yes	characteristic, direct product factor, Sylow
246	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
247	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
248	C₂×Q₈	—	2	2	no	—
249	C₂×Q₈	—	2	4	no	—
250	C₂×Q₈	—	4	2	no	—
251	C₂×Q₈	—	8	2	no	—
252	C₂×D₄	—	2	4	no	—
253	C₂×D₄	—	4	2	no	—
254	C₂×D₄	—	8	2	no	—
255	C₂×D₄	C₂²⋊C₄×C₁₉	1	4	yes	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	—	4	2	no	—
258	C₂²×C₄	—	8	2	no	—
259	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
260	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
261	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
262	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
263	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
264	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
265	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
266	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
267	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
268	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
269	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
270	M₁₆	—	8	4	no	—
271	C₂×C₈	—	2	8	no	—
272	C₂×C₈	—	8	4	no	—
273	C₄⋊C₄	—	2	2	no	—
274	C₄⋊C₄	—	2	2	no	—
275	C₄⋊C₄	—	2	4	no	—
276	C₄⋊C₄	—	2	4	no	—
277	C₄⋊C₄	—	2	2	no	—
278	C₄⋊C₄	—	2	2	no	—
279	C₄⋊C₄	—	2	2	no	—
280	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
281	C₂²⋊C₄	—	2	4	no	—
282	C₂²⋊C₄	—	2	4	no	—
283	C₂²⋊C₄	—	2	4	no	—
284	C₂²⋊C₄	—	2	2	no	—
285	C₂²⋊C₄	—	2	4	no	—
286	C₂²⋊C₄	—	2	2	no	—
287	C₂²⋊C₄	C₂²⋊C₄×C₁₉	1	8	yes	—
288	C₄²	—	2	2	no	—
289	C₄²	—	2	4	no	—
290	C₄²	C₂×D₄×C₁₉	1	4	yes	—
291	C₂³	—	2	4	no	—
292	C₂³	—	2	1	no	—
293	C₂³	—	2	2	no	—
294	C₂³	—	4	2	no	—
295	C₂³	—	4	2	no	—
296	C₂³	—	4	1	no	—
297	C₂³	—	4	1	no	—
298	C₂³	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
299	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
300	Q₈	—	4	4	no	—
301	Q₈	—	8	4	no	—
302	D₄	—	4	4	no	—
303	D₄	—	8	4	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	4	4	no	—
313	C₂×C₄	—	4	4	no	—
314	C₂×C₄	—	4	1	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	1	no	—
320	C₂×C₄	—	4	1	no	—
321	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
322	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
323	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
324	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
325	C₈	—	4	8	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	2	4	no	—
329	C₂²	—	2	4	no	—
330	C₂²	—	2	4	no	—
331	C₂²	—	4	1	no	—
332	C₂²	—	4	1	no	—
333	C₂²	—	4	1	no	—
334	C₂²	—	8	4	no	—
335	C₂²	—	8	2	no	—
336	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
337	C₂²	C₁₉×#568	1	2	yes	—
338	C₄	—	2	2	no	—
339	C₄	—	2	2	no	—
340	C₄	—	2	4	no	—
341	C₄	—	2	2	no	—
342	C₄	—	4	1	no	—
343	C₄	—	4	2	no	—
344	C₄	—	4	2	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₂	—	2	2	no	—
348	C₂	—	4	4	no	—
349	C₂	—	8	1	no	—
350	C₂	C₁₉×#2879	1	1	yes	characteristic
351	C₂	C₁₉×#2883	1	1	yes	characteristic
352	C₂	C₁₉×#2889	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂×C₁₉×#121	C₄
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2973	C₂	semidirect
3. C₁₉×#1472	C₂	semidirect
4. C₁₉×#1468	C₂	semidirect
5. C₁₉×#1467	C₂	semidirect
6. C₁₉×#1464	C₂	semidirect
114. #17407	C₁₉	direct (N × H)
151. #2973	C₂×C₁₉	semidirect
152. #1472	C₂×C₁₉	semidirect
153. #1468	C₂×C₁₉	semidirect
154. #1467	C₂×C₁₉	semidirect
155. #1464	C₂×C₁₉	semidirect
245. C₁₉	#17407	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₉×#542	2
C₁₉×#2973	2
C₁₉×#1472	2
C₁₉×#1468	2
C₁₉×#1467	2
C₁₉×#1464	2
#17407	19

Subgroups — C19×#17407 #18023366

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#17407 #18023366