Subgroups — C₁₉×#34412 #18040371

Order 4864.

2286 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#536	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2379	C₂	1	2	yes	maximal, complemented
3	C₁₉×#2376	C₂	1	2	yes	maximal, complemented
4	C₁₉×#2374	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2372	C₂	1	2	yes	maximal, complemented
6	C₁₉×#2362	C₂	1	2	yes	maximal, complemented
7	C₁₉×#2360	C₂	1	2	yes	maximal, complemented
8	C₁₉×#2346	C₂	1	2	yes	maximal, complemented
9	Q₈×C₂²⋊C₄×C₁₉	C₂	1	2	yes	maximal, complemented
10	C₁₉×#2335	C₂	1	4	yes	maximal, complemented
11	C₁₉×#2331	C₂	1	4	yes	maximal, complemented
12	C₁₉×#2323	C₂	1	2	yes	maximal, complemented
13	C₁₉×#2311	C₂	1	1	yes	maximal, characteristic
14	C₄×C₁₉×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
15	C₁₉×#2297	C₂	1	1	yes	maximal, characteristic
16	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#536	C₄	1	16	yes	complemented
19	C₂×C₁₉×C₄⋊Q₈	C₂²	1	2	yes	—
20	C₂×C₁₉×#124	C₂²	1	2	yes	—
21	C₂×C₁₉×#123	C₂²	1	2	yes	—
22	C₂×C₁₉×#123	C₂²	1	2	yes	—
23	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
24	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
25	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
26	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	—
27	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
28	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
29	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
30	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
31	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
32	C₁₉×#391	C₂²	1	2	yes	—
33	C₁₉×#391	C₂²	1	2	yes	—
34	C₁₉×#391	C₂²	1	2	yes	—
35	C₁₉×#391	C₂²	1	2	yes	—
36	C₁₉×#391	C₂²	1	4	yes	—
37	C₁₉×#391	C₂²	1	4	yes	—
38	C₁₉×#390	C₂²	1	2	yes	—
39	C₁₉×#390	C₂²	1	2	yes	—
40	C₁₉×#389	C₂²	1	2	yes	—
41	C₁₉×#389	C₂²	1	4	yes	—
42	C₁₉×#389	C₂²	1	2	yes	—
43	C₁₉×#389	C₂²	1	4	yes	—
44	C₁₉×#388	C₂²	1	4	yes	—
45	C₁₉×#388	C₂²	1	4	yes	—
46	C₁₉×#388	C₂²	1	4	yes	—
47	C₁₉×#388	C₂²	1	4	yes	—
48	C₁₉×#388	C₂²	1	4	yes	—
49	C₁₉×#388	C₂²	1	4	yes	—
50	C₁₉×#387	C₂²	1	4	yes	—
51	C₁₉×#387	C₂²	1	4	yes	—
52	C₁₉×#387	C₂²	1	4	yes	—
53	C₁₉×#387	C₂²	1	4	yes	—
54	C₁₉×#386	C₂²	1	1	yes	characteristic
55	C₁₉×#386	C₂²	1	1	yes	characteristic
56	C₁₉×#386	C₂²	1	1	yes	characteristic
57	C₁₉×#386	C₂²	1	1	yes	characteristic
58	C₁₉×#386	C₂²	1	2	yes	—
59	C₁₉×#386	C₂²	1	2	yes	—
60	C₁₉×#385	C₂²	1	4	yes	—
61	C₁₉×#385	C₂²	1	4	yes	—
62	C₁₉×#382	C₂²	1	4	yes	—
63	C₁₉×#380	C₂²	1	2	yes	—
64	C₁₉×#380	C₂²	1	2	yes	—
65	C₁₉×#380	C₂²	1	4	yes	—
66	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
67	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
68	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
69	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
70	C₄×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
71	C₄×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
72	C₄×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
73	C₄×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
74	C₄×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
75	C₁₉×#376	C₂²	1	4	yes	—
76	C₂×#41×C₁₉	—	4	2	no	—
77	C₂×#41×C₁₉	—	4	2	no	—
78	C₂×#41×C₁₉	C₂×C₄	1	8	yes	—
79	C₂²×Q₈×C₁₉	—	4	2	no	—
80	C₂²×Q₈×C₁₉	—	4	2	no	—
81	C₂²×Q₈×C₁₉	C₂×C₄	1	8	yes	complemented
82	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
83	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
84	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
85	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
86	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
87	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
92	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
93	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
94	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
95	C₁₉×C₄⋊Q₈	C₂×C₄	1	16	yes	complemented
96	C₁₉×#124	C₂×C₄	1	16	yes	—
97	C₁₉×#123	C₂×C₄	1	16	yes	complemented
98	C₁₉×#123	C₂×C₄	1	16	yes	complemented
99	C₁₉×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
100	C₁₉×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
101	C₄×Q₈×C₁₉	—	4	4	no	—
102	C₄×Q₈×C₁₉	—	4	4	no	—
103	C₁₉×#117	—	4	2	no	—
104	C₁₉×#117	—	4	2	no	—
105	C₁₉×#117	C₂×C₄	1	8	yes	complemented
106	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
107	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
108	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
109	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
110	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
111	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
112	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
113	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
114	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
115	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
116	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
117	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
118	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
119	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
120	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
121	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
123	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
124	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
125	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
126	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
127	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
128	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
129	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
130	C₂×C₄²×C₁₉	—	4	2	no	—
131	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
132	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
133	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
134	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
135	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
136	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
137	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
138	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
139	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
140	C₁₉×#95	C₂³	1	2	yes	—
141	C₁₉×#95	C₂³	1	4	yes	—
142	C₁₉×#95	C₂³	1	4	yes	—
143	C₁₉×#95	C₂³	1	4	yes	—
144	C₁₉×#95	C₂³	1	4	yes	—
145	C₁₉×#95	C₂³	1	2	yes	—
146	C₁₉×#95	C₂³	1	4	yes	—
147	C₁₉×#95	C₂³	1	2	yes	—
148	C₁₉×#95	C₂³	1	4	yes	—
149	C₁₉×#95	C₂³	1	2	yes	—
150	C₁₉×#95	C₂³	1	4	yes	—
151	C₁₉×#95	C₂³	1	4	yes	—
152	C₁₉×#95	C₂³	1	4	yes	—
153	C₁₉×#95	C₂³	1	4	yes	—
154	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
155	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
156	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
157	#41×C₁₉	—	4	16	no	—
158	C₂×Q₈×C₁₉	—	2	4	no	—
159	C₂×Q₈×C₁₉	—	2	4	no	—
160	C₂×Q₈×C₁₉	—	4	2	no	—
161	C₂×Q₈×C₁₉	—	4	2	no	—
162	C₂×Q₈×C₁₉	—	4	1	no	—
163	C₂×Q₈×C₁₉	—	4	1	no	—
164	C₂×Q₈×C₁₉	—	4	16	no	—
165	C₂×Q₈×C₁₉	C₂²×C₄	1	8	yes	—
166	C₂×Q₈×C₁₉	C₂²×C₄	1	8	yes	—
167	C₂×Q₈×C₁₉	C₂²×C₄	1	4	yes	—
168	C₂×D₄×C₁₉	—	4	1	no	—
169	C₂×D₄×C₁₉	—	4	1	no	—
170	C₂×D₄×C₁₉	—	4	1	no	—
171	C₂×D₄×C₁₉	—	4	1	no	—
172	C₂×D₄×C₁₉	—	4	1	no	—
173	C₂×D₄×C₁₉	—	4	1	no	—
174	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
175	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
176	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
177	C₂²×C₄×C₁₉	—	2	2	no	—
178	C₂²×C₄×C₁₉	—	2	2	no	—
179	C₂²×C₄×C₁₉	—	2	2	no	—
180	C₂²×C₄×C₁₉	—	2	2	no	—
181	C₂²×C₄×C₁₉	—	2	2	no	—
182	C₂²×C₄×C₁₉	—	2	2	no	—
183	C₂²×C₄×C₁₉	—	2	4	no	—
184	C₂²×C₄×C₁₉	—	4	1	no	—
185	C₂²×C₄×C₁₉	—	4	1	no	—
186	C₂²×C₄×C₁₉	—	4	2	no	—
187	C₂²×C₄×C₁₉	—	4	2	no	—
188	C₂²×C₄×C₁₉	—	4	2	no	—
189	C₂²×C₄×C₁₉	—	4	2	no	—
190	C₂²×C₄×C₁₉	—	4	4	no	—
191	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
192	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
194	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
195	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
198	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
199	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
200	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
201	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
202	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
203	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
204	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
207	C₄⋊C₄×C₁₉	—	2	4	no	—
208	C₄⋊C₄×C₁₉	—	2	4	no	—
209	C₄⋊C₄×C₁₉	—	4	2	no	—
210	C₄⋊C₄×C₁₉	—	4	4	no	—
211	C₄⋊C₄×C₁₉	—	4	4	no	—
212	C₄⋊C₄×C₁₉	—	4	2	no	—
213	C₄⋊C₄×C₁₉	—	4	4	no	—
214	C₄⋊C₄×C₁₉	—	4	4	no	—
215	C₄⋊C₄×C₁₉	C₂²×C₄	1	8	yes	—
216	C₄⋊C₄×C₁₉	C₂²×C₄	1	16	yes	—
217	C₄⋊C₄×C₁₉	C₂²×C₄	1	16	yes	—
218	C₂²⋊C₄×C₁₉	—	2	4	no	—
219	C₂²⋊C₄×C₁₉	—	2	4	no	—
220	C₂²⋊C₄×C₁₉	—	4	2	no	—
221	C₂²⋊C₄×C₁₉	—	4	4	no	—
222	C₂²⋊C₄×C₁₉	—	4	4	no	—
223	C₂²⋊C₄×C₁₉	—	4	2	no	—
224	C₂²⋊C₄×C₁₉	—	4	1	no	—
225	C₂²⋊C₄×C₁₉	—	4	1	no	—
226	C₂²⋊C₄×C₁₉	—	4	2	no	—
227	C₂²⋊C₄×C₁₉	C₂²×C₄	1	8	yes	—
228	C₂²⋊C₄×C₁₉	C₂²×C₄	1	16	yes	—
229	C₂²⋊C₄×C₁₉	C₂²×C₄	1	16	yes	—
230	C₄²×C₁₉	—	2	4	no	—
231	C₄²×C₁₉	—	2	4	no	—
232	C₄²×C₁₉	—	2	8	no	—
233	C₄²×C₁₉	—	4	2	no	—
234	C₄²×C₁₉	—	4	4	no	—
235	C₄²×C₁₉	—	4	2	no	—
236	C₄²×C₁₉	—	4	4	no	—
237	C₄²×C₁₉	—	4	4	no	—
238	C₄²×C₁₉	C₂²×C₄	1	8	yes	—
239	#34412	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
240	C₂³×C₁₉	—	2	1	no	—
241	C₂³×C₁₉	—	2	1	no	—
242	C₂³×C₁₉	—	2	1	no	—
243	C₂³×C₁₉	—	2	1	no	—
244	C₂³×C₁₉	—	2	1	no	—
245	C₂³×C₁₉	—	2	1	no	—
246	C₂³×C₁₉	—	2	2	no	—
247	C₂³×C₁₉	—	2	2	no	—
248	C₂³×C₁₉	—	2	2	no	—
249	C₂³×C₁₉	—	2	2	no	—
250	C₂³×C₁₉	—	2	2	no	—
251	C₂³×C₁₉	—	2	2	no	—
252	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
253	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
254	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
255	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
256	Q₈×C₁₉	—	2	16	no	—
257	Q₈×C₁₉	—	4	8	no	—
258	Q₈×C₁₉	—	4	4	no	—
259	D₄×C₁₉	—	4	4	no	—
260	D₄×C₁₉	—	4	4	no	—
261	D₄×C₁₉	—	4	4	no	—
262	C₂×C₄×C₁₉	—	2	2	no	—
263	C₂×C₄×C₁₉	—	2	1	no	—
264	C₂×C₄×C₁₉	—	2	1	no	—
265	C₂×C₄×C₁₉	—	2	4	no	—
266	C₂×C₄×C₁₉	—	2	4	no	—
267	C₂×C₄×C₁₉	—	2	1	no	—
268	C₂×C₄×C₁₉	—	2	1	no	—
269	C₂×C₄×C₁₉	—	2	1	no	—
270	C₂×C₄×C₁₉	—	2	1	no	—
271	C₂×C₄×C₁₉	—	2	4	no	—
272	C₂×C₄×C₁₉	—	2	2	no	—
273	C₂×C₄×C₁₉	—	2	4	no	—
274	C₂×C₄×C₁₉	—	2	8	no	—
275	C₂×C₄×C₁₉	—	2	8	no	—
276	C₂×C₄×C₁₉	—	2	8	no	—
277	C₂×C₄×C₁₉	—	2	2	no	—
278	C₂×C₄×C₁₉	—	2	2	no	—
279	C₂×C₄×C₁₉	—	2	2	no	—
280	C₂×C₄×C₁₉	—	2	4	no	—
281	C₂×C₄×C₁₉	—	2	4	no	—
282	C₂×C₄×C₁₉	—	2	4	no	—
283	C₂×C₄×C₁₉	—	2	2	no	—
284	C₂×C₄×C₁₉	—	2	2	no	—
285	C₂×C₄×C₁₉	—	2	2	no	—
286	C₂×C₄×C₁₉	—	2	4	no	—
287	C₂×C₄×C₁₉	—	2	4	no	—
288	C₂×C₄×C₁₉	—	2	2	no	—
289	C₂×C₄×C₁₉	—	2	2	no	—
290	C₂×C₄×C₁₉	—	2	4	no	—
291	C₂×C₄×C₁₉	—	2	2	no	—
292	C₂×C₄×C₁₉	—	4	8	no	—
293	C₂×C₄×C₁₉	—	4	4	no	—
294	C₂×C₄×C₁₉	—	4	4	no	—
295	C₂×C₄×C₁₉	—	8	4	no	—
296	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
297	C₂×C₄×C₁₉	C₂³×C₄	1	8	yes	—
298	C₂×C₄×C₁₉	C₂³×C₄	1	8	yes	—
299	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
300	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
301	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
302	C₂×C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
303	C₂×C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
304	C₂×C₄×C₁₉	2₋¹⁺⁴	1	4	yes	—
305	C₂×#536	C₂×C₁₉	1	1	yes	characteristic
306	#2379	C₂×C₁₉	1	2	yes	complemented
307	#2376	C₂×C₁₉	1	2	yes	complemented
308	#2374	C₂×C₁₉	1	2	yes	complemented
309	#2372	C₂×C₁₉	1	2	yes	complemented
310	#2362	C₂×C₁₉	1	2	yes	complemented
311	#2360	C₂×C₁₉	1	2	yes	complemented
312	#2346	C₂×C₁₉	1	2	yes	complemented
313	Q₈×C₂²⋊C₄	C₂×C₁₉	1	2	yes	complemented
314	#2335	C₂×C₁₉	1	4	yes	complemented
315	#2331	C₂×C₁₉	1	4	yes	complemented
316	#2323	C₂×C₁₉	1	2	yes	complemented
317	#2311	C₂×C₁₉	1	1	yes	characteristic
318	C₄×C₂²⋊Q₈	C₂×C₁₉	1	2	yes	complemented
319	#2297	C₂×C₁₉	1	1	yes	characteristic
320	C₂²×C₁₉	—	2	2	no	—
321	C₂²×C₁₉	—	2	2	no	—
322	C₂²×C₁₉	—	2	2	no	—
323	C₂²×C₁₉	—	2	4	no	—
324	C₂²×C₁₉	—	2	4	no	—
325	C₂²×C₁₉	—	2	4	no	—
326	C₂²×C₁₉	—	4	1	no	—
327	C₂²×C₁₉	—	4	1	no	—
328	C₂²×C₁₉	—	4	1	no	—
329	C₂²×C₁₉	—	4	1	no	—
330	C₂²×C₁₉	—	4	1	no	—
331	C₂²×C₁₉	—	4	1	no	—
332	C₂²×C₁₉	—	4	2	no	—
333	C₂²×C₁₉	—	4	2	no	—
334	C₂²×C₁₉	—	4	2	no	—
335	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
336	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
337	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
338	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
339	C₂²×C₁₉	#585	1	2	yes	—
340	C₄×C₁₉	—	2	2	no	—
341	C₄×C₁₉	—	2	2	no	—
342	C₄×C₁₉	—	2	2	no	—
343	C₄×C₁₉	—	2	8	no	—
344	C₄×C₁₉	—	2	8	no	—
345	C₄×C₁₉	—	2	4	no	—
346	C₄×C₁₉	—	4	2	no	—
347	C₄×C₁₉	—	4	4	no	—
348	C₄×C₁₉	—	4	2	no	—
349	C₄×C₁₉	—	4	2	no	—
350	C₄×C₁₉	—	4	4	no	—
351	C₄×C₁₉	#518	1	4	yes	—
352	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
353	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
354	#536	C₄×C₁₉	1	16	yes	complemented
355	C₂×C₄⋊Q₈	C₂²×C₁₉	1	2	yes	—
356	C₂×#124	C₂²×C₁₉	1	2	yes	—
357	C₂×#123	C₂²×C₁₉	1	2	yes	—
358	C₂×#123	C₂²×C₁₉	1	2	yes	—
359	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
360	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
361	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
362	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	—
363	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
364	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
365	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
366	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
367	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
368	#391	C₂²×C₁₉	1	2	yes	—
369	#391	C₂²×C₁₉	1	2	yes	—
370	#391	C₂²×C₁₉	1	2	yes	—
371	#391	C₂²×C₁₉	1	4	yes	—
372	#391	C₂²×C₁₉	1	4	yes	—
373	#391	C₂²×C₁₉	1	2	yes	—
374	#390	C₂²×C₁₉	1	2	yes	—
375	#390	C₂²×C₁₉	1	2	yes	—
376	#389	C₂²×C₁₉	1	4	yes	—
377	#389	C₂²×C₁₉	1	2	yes	—
378	#389	C₂²×C₁₉	1	4	yes	—
379	#389	C₂²×C₁₉	1	2	yes	—
380	#388	C₂²×C₁₉	1	4	yes	—
381	#388	C₂²×C₁₉	1	4	yes	—
382	#388	C₂²×C₁₉	1	4	yes	—
383	#388	C₂²×C₁₉	1	4	yes	—
384	#388	C₂²×C₁₉	1	4	yes	—
385	#388	C₂²×C₁₉	1	4	yes	—
386	#387	C₂²×C₁₉	1	4	yes	—
387	#387	C₂²×C₁₉	1	4	yes	—
388	#387	C₂²×C₁₉	1	4	yes	—
389	#387	C₂²×C₁₉	1	4	yes	—
390	#386	C₂²×C₁₉	1	2	yes	—
391	#386	C₂²×C₁₉	1	2	yes	—
392	#386	C₂²×C₁₉	1	1	yes	characteristic
393	#386	C₂²×C₁₉	1	1	yes	characteristic
394	#386	C₂²×C₁₉	1	1	yes	characteristic
395	#386	C₂²×C₁₉	1	1	yes	characteristic
396	#385	C₂²×C₁₉	1	4	yes	—
397	#385	C₂²×C₁₉	1	4	yes	—
398	#382	C₂²×C₁₉	1	4	yes	—
399	#380	C₂²×C₁₉	1	2	yes	—
400	#380	C₂²×C₁₉	1	2	yes	—
401	#380	C₂²×C₁₉	1	4	yes	—
402	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
403	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
404	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
405	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
406	C₄×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
407	C₄×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
408	C₄×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
409	C₄×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
410	C₄×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
411	#376	C₂²×C₁₉	1	4	yes	—
412	C₂×C₁₉	—	4	2	no	—
413	C₂×C₁₉	—	4	2	no	—
414	C₂×C₁₉	—	4	2	no	—
415	C₂×C₁₉	C₂×#518	1	1	yes	characteristic
416	C₂×C₁₉	C₄×2₋¹⁺⁴	1	2	yes	—
417	C₂×C₁₉	#3538	1	1	yes	characteristic
418	C₂×C₁₉	#3540	1	1	yes	characteristic
419	C₂×C₁₉	#3547	1	2	yes	—
420	C₂×#41	—	4	2	no	—
421	C₂×#41	—	4	2	no	—
422	C₂×#41	C₂×C₄×C₁₉	1	8	yes	—
423	C₂²×Q₈	—	4	2	no	—
424	C₂²×Q₈	—	4	2	no	—
425	C₂²×Q₈	C₂×C₄×C₁₉	1	8	yes	complemented
426	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
427	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
428	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
429	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
430	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
431	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
432	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
433	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
434	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
435	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
436	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
437	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
438	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
439	C₄⋊Q₈	C₂×C₄×C₁₉	1	16	yes	complemented
440	#124	C₂×C₄×C₁₉	1	16	yes	—
441	#123	C₂×C₄×C₁₉	1	16	yes	complemented
442	#123	C₂×C₄×C₁₉	1	16	yes	complemented
443	C₂²⋊Q₈	C₂×C₄×C₁₉	1	16	yes	complemented
444	C₂²⋊Q₈	C₂×C₄×C₁₉	1	16	yes	complemented
445	C₄×Q₈	—	4	4	no	—
446	C₄×Q₈	—	4	4	no	—
447	#117	—	4	2	no	—
448	#117	—	4	2	no	—
449	#117	C₂×C₄×C₁₉	1	8	yes	complemented
450	C₂×C₄⋊C₄	—	4	2	no	—
451	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
452	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
453	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
455	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
457	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
458	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
459	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
461	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
464	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
465	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
466	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
467	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
468	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
469	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
470	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
471	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
473	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
474	C₂×C₄²	—	4	2	no	—
475	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
476	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
477	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
478	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
479	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
480	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
481	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
482	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
483	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
484	#95	C₂³×C₁₉	1	2	yes	—
485	#95	C₂³×C₁₉	1	4	yes	—
486	#95	C₂³×C₁₉	1	4	yes	—
487	#95	C₂³×C₁₉	1	4	yes	—
488	#95	C₂³×C₁₉	1	4	yes	—
489	#95	C₂³×C₁₉	1	2	yes	—
490	#95	C₂³×C₁₉	1	4	yes	—
491	#95	C₂³×C₁₉	1	2	yes	—
492	#95	C₂³×C₁₉	1	4	yes	—
493	#95	C₂³×C₁₉	1	2	yes	—
494	#95	C₂³×C₁₉	1	4	yes	—
495	#95	C₂³×C₁₉	1	4	yes	—
496	#95	C₂³×C₁₉	1	4	yes	—
497	#95	C₂³×C₁₉	1	4	yes	—
498	C₁₉	#34412	1	1	yes	characteristic, direct product factor, Sylow
499	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
500	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
501	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
502	#41	—	4	16	no	—
503	C₂×Q₈	—	2	4	no	—
504	C₂×Q₈	—	2	4	no	—
505	C₂×Q₈	—	4	2	no	—
506	C₂×Q₈	—	4	2	no	—
507	C₂×Q₈	—	4	1	no	—
508	C₂×Q₈	—	4	1	no	—
509	C₂×Q₈	—	4	16	no	—
510	C₂×Q₈	C₂²×C₄×C₁₉	1	8	yes	—
511	C₂×Q₈	C₂²×C₄×C₁₉	1	8	yes	—
512	C₂×Q₈	C₂²×C₄×C₁₉	1	4	yes	—
513	C₂×D₄	—	4	1	no	—
514	C₂×D₄	—	4	1	no	—
515	C₂×D₄	—	4	1	no	—
516	C₂×D₄	—	4	1	no	—
517	C₂×D₄	—	4	1	no	—
518	C₂×D₄	—	4	1	no	—
519	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
520	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
521	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
522	C₂²×C₄	—	2	2	no	—
523	C₂²×C₄	—	2	2	no	—
524	C₂²×C₄	—	2	2	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	4	1	no	—
530	C₂²×C₄	—	4	1	no	—
531	C₂²×C₄	—	4	2	no	—
532	C₂²×C₄	—	4	2	no	—
533	C₂²×C₄	—	4	2	no	—
534	C₂²×C₄	—	4	2	no	—
535	C₂²×C₄	—	4	4	no	—
536	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
537	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
538	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
539	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
540	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
541	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
542	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
543	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
545	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
546	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
547	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
548	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
550	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
551	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
552	C₄⋊C₄	—	2	4	no	—
553	C₄⋊C₄	—	2	4	no	—
554	C₄⋊C₄	—	4	2	no	—
555	C₄⋊C₄	—	4	4	no	—
556	C₄⋊C₄	—	4	4	no	—
557	C₄⋊C₄	—	4	2	no	—
558	C₄⋊C₄	—	4	4	no	—
559	C₄⋊C₄	—	4	4	no	—
560	C₄⋊C₄	C₂²×C₄×C₁₉	1	8	yes	—
561	C₄⋊C₄	C₂²×C₄×C₁₉	1	16	yes	—
562	C₄⋊C₄	C₂²×C₄×C₁₉	1	16	yes	—
563	C₂²⋊C₄	—	2	4	no	—
564	C₂²⋊C₄	—	2	4	no	—
565	C₂²⋊C₄	—	4	2	no	—
566	C₂²⋊C₄	—	4	4	no	—
567	C₂²⋊C₄	—	4	4	no	—
568	C₂²⋊C₄	—	4	2	no	—
569	C₂²⋊C₄	—	4	1	no	—
570	C₂²⋊C₄	—	4	1	no	—
571	C₂²⋊C₄	—	4	2	no	—
572	C₂²⋊C₄	C₂²×C₄×C₁₉	1	8	yes	—
573	C₂²⋊C₄	C₂²×C₄×C₁₉	1	16	yes	—
574	C₂²⋊C₄	C₂²×C₄×C₁₉	1	16	yes	—
575	C₄²	—	2	4	no	—
576	C₄²	—	2	4	no	—
577	C₄²	—	2	8	no	—
578	C₄²	—	4	2	no	—
579	C₄²	—	4	4	no	—
580	C₄²	—	4	2	no	—
581	C₄²	—	4	4	no	—
582	C₄²	—	4	4	no	—
583	C₄²	C₂²×C₄×C₁₉	1	8	yes	—
584	C₂³	—	2	1	no	—
585	C₂³	—	2	1	no	—
586	C₂³	—	2	1	no	—
587	C₂³	—	2	1	no	—
588	C₂³	—	2	1	no	—
589	C₂³	—	2	1	no	—
590	C₂³	—	2	2	no	—
591	C₂³	—	2	2	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	2	no	—
595	C₂³	—	2	2	no	—
596	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
597	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
598	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
599	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
600	Q₈	—	2	16	no	—
601	Q₈	—	4	8	no	—
602	Q₈	—	4	4	no	—
603	D₄	—	4	4	no	—
604	D₄	—	4	4	no	—
605	D₄	—	4	4	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	1	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	4	no	—
610	C₂×C₄	—	2	4	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	8	no	—
619	C₂×C₄	—	2	8	no	—
620	C₂×C₄	—	2	8	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	4	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	4	8	no	—
637	C₂×C₄	—	4	4	no	—
638	C₂×C₄	—	4	4	no	—
639	C₂×C₄	—	8	4	no	—
640	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
641	C₂×C₄	C₂³×C₄×C₁₉	1	8	yes	—
642	C₂×C₄	C₂³×C₄×C₁₉	1	8	yes	—
643	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
644	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
645	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
646	C₂×C₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
647	C₂×C₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
648	C₂×C₄	C₁₉×2₋¹⁺⁴	1	4	yes	—
649	C₂²	—	2	2	no	—
650	C₂²	—	2	2	no	—
651	C₂²	—	2	2	no	—
652	C₂²	—	2	4	no	—
653	C₂²	—	2	4	no	—
654	C₂²	—	2	4	no	—
655	C₂²	—	4	1	no	—
656	C₂²	—	4	1	no	—
657	C₂²	—	4	1	no	—
658	C₂²	—	4	1	no	—
659	C₂²	—	4	1	no	—
660	C₂²	—	4	1	no	—
661	C₂²	—	4	2	no	—
662	C₂²	—	4	2	no	—
663	C₂²	—	4	2	no	—
664	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
665	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
666	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
667	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
668	C₂²	C₁₉×#585	1	2	yes	—
669	C₄	—	2	2	no	—
670	C₄	—	2	2	no	—
671	C₄	—	2	2	no	—
672	C₄	—	2	8	no	—
673	C₄	—	2	8	no	—
674	C₄	—	2	4	no	—
675	C₄	—	4	2	no	—
676	C₄	—	4	4	no	—
677	C₄	—	4	2	no	—
678	C₄	—	4	2	no	—
679	C₄	—	4	4	no	—
680	C₄	C₁₉×#518	1	4	yes	—
681	C₂	—	4	2	no	—
682	C₂	—	4	2	no	—
683	C₂	—	4	2	no	—
684	C₂	C₂×C₁₉×#518	1	1	yes	characteristic
685	C₂	C₄×C₁₉×2₋¹⁺⁴	1	2	yes	—
686	C₂	C₁₉×#3538	1	1	yes	characteristic
687	C₂	C₁₉×#3540	1	1	yes	characteristic
688	C₂	C₁₉×#3547	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂³	C₂⁵×C₁₉
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2379	C₂	semidirect
3. C₁₉×#2376	C₂	semidirect
4. C₁₉×#2374	C₂	semidirect
5. C₁₉×#2372	C₂	semidirect
6. C₁₉×#2362	C₂	semidirect
7. C₁₉×#2360	C₂	semidirect
8. C₁₉×#2346	C₂	semidirect
9. Q₈×C₂²⋊C₄×C₁₉	C₂	semidirect
10. C₁₉×#2335	C₂	semidirect
11. C₁₉×#2331	C₂	semidirect
12. C₁₉×#2323	C₂	semidirect
14. C₄×C₁₉×C₂²⋊Q₈	C₂	semidirect
18. C₁₉×#536	C₄	semidirect
81. C₂²×Q₈×C₁₉	C₂×C₄	semidirect
95. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
97. C₁₉×#123	C₂×C₄	semidirect
98. C₁₉×#123	C₂×C₄	semidirect
99. C₁₉×C₂²⋊Q₈	C₂×C₄	semidirect
100. C₁₉×C₂²⋊Q₈	C₂×C₄	semidirect
105. C₁₉×#117	C₂×C₄	semidirect
239. #34412	C₁₉	direct (N × H)
306. #2379	C₂×C₁₉	semidirect
307. #2376	C₂×C₁₉	semidirect
308. #2374	C₂×C₁₉	semidirect
309. #2372	C₂×C₁₉	semidirect
310. #2362	C₂×C₁₉	semidirect
311. #2360	C₂×C₁₉	semidirect
312. #2346	C₂×C₁₉	semidirect
313. Q₈×C₂²⋊C₄	C₂×C₁₉	semidirect
314. #2335	C₂×C₁₉	semidirect
315. #2331	C₂×C₁₉	semidirect
316. #2323	C₂×C₁₉	semidirect
318. C₄×C₂²⋊Q₈	C₂×C₁₉	semidirect
354. #536	C₄×C₁₉	semidirect
425. C₂²×Q₈	C₂×C₄×C₁₉	semidirect
439. C₄⋊Q₈	C₂×C₄×C₁₉	semidirect
441. #123	C₂×C₄×C₁₉	semidirect
442. #123	C₂×C₄×C₁₉	semidirect
443. C₂²⋊Q₈	C₂×C₄×C₁₉	semidirect
444. C₂²⋊Q₈	C₂×C₄×C₁₉	semidirect
449. #117	C₂×C₄×C₁₉	semidirect
498. C₁₉	#34412	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×#536	2
C₁₉×#2379	2
C₁₉×#2376	2
C₁₉×#2374	2
C₁₉×#2372	2
C₁₉×#2362	2
C₁₉×#2360	2
C₁₉×#2346	2
Q₈×C₂²⋊C₄×C₁₉	2
C₁₉×#2335	2
C₁₉×#2331	2
C₁₉×#2323	2
C₁₉×#2311	2
C₄×C₁₉×C₂²⋊Q₈	2
C₁₉×#2297	2
#34412	19

Subgroups — C19×#34412 #18040371

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#34412 #18040371