Subgroups — C₁₉×#24787 #18030746

Order 4864.

1054 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#468	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#465	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₁₉×#107	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2417	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#2416	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#2068	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#2067	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#2036	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#2033	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1973	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1943	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1874	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1872	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1809	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#121	—	2	1	no	—
22	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
24	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
25	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
26	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#468	—	2	4	no	—
28	C₁₉×#465	—	2	4	no	—
29	C₁₉×#435	—	2	4	no	—
30	C₂×C₁₉×#107	—	2	4	no	—
31	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
32	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
33	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
34	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
38	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
39	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
40	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
46	C₁₉×#398	—	2	1	no	—
47	C₁₉×#396	—	2	1	no	—
48	C₁₉×#396	—	2	1	no	—
49	C₁₉×#394	—	2	1	no	—
50	C₁₉×#391	C₂²	1	1	yes	characteristic
51	C₁₉×#390	C₂²	1	1	yes	characteristic
52	C₁₉×#389	C₂²	1	1	yes	characteristic
53	C₁₉×#389	C₂²	1	1	yes	characteristic
54	C₁₉×#386	—	2	1	no	—
55	C₁₉×#386	—	2	1	no	—
56	C₁₉×#380	—	2	1	no	—
57	C₁₉×#380	C₂²	1	1	yes	characteristic
58	C₁₉×#380	C₂²	1	1	yes	characteristic
59	C₁₉×#340	C₂²	1	1	yes	characteristic
60	C₁₉×#340	C₂²	1	1	yes	characteristic
61	C₁₉×#340	C₂²	1	1	yes	characteristic
62	C₁₉×#340	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₁₉	—	2	1	no	—
65	C₂²×D₄×C₁₉	—	2	1	no	—
66	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
67	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₉	—	2	1	no	—
69	C₂³×C₄×C₁₉	—	2	1	no	—
70	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
72	C₂×SD₁₆×C₁₉	—	2	2	no	—
73	C₂×SD₁₆×C₁₉	—	2	2	no	—
74	C₂×SD₁₆×C₁₉	—	2	2	no	—
75	C₂×M₁₆×C₁₉	—	2	2	no	—
76	C₂×M₁₆×C₁₉	—	2	2	no	—
77	C₂×M₁₆×C₁₉	—	2	2	no	—
78	C₂²×C₈×C₁₉	—	2	2	no	—
79	C₂²×C₈×C₁₉	—	2	2	no	—
80	C₂²×C₈×C₁₉	D₄	1	4	yes	complemented
81	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
85	C₁₉×C₂²⋊Q₈	—	2	2	no	—
86	C₁₉×C₂²⋊Q₈	—	2	2	no	—
87	C₁₉×C₂²⋊Q₈	—	2	2	no	—
88	C₁₉×C₂²⋊Q₈	—	4	1	no	—
89	C₁₉×#121	—	2	2	no	—
90	C₁₉×#121	—	2	2	no	—
91	C₁₉×#121	—	2	2	no	—
92	C₁₉×#121	—	4	1	no	—
93	C₁₉×#121	—	4	4	no	—
94	C₄×D₄×C₁₉	—	2	2	no	—
95	C₄×D₄×C₁₉	—	2	2	no	—
96	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
97	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
98	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
99	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
101	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
102	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
103	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
104	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
105	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
106	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
107	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
108	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
110	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
111	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
112	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
113	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
114	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
116	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
117	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
118	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
119	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
120	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
121	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
122	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
123	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
124	C₁₉×#107	—	2	2	no	—
125	C₁₉×#107	—	2	2	no	—
126	C₁₉×#107	—	2	2	no	—
127	C₁₉×#107	D₄	1	4	yes	complemented
128	C₁₉×#106	—	2	2	no	—
129	C₁₉×C₄⋊C₈	—	2	2	no	—
130	C₁₉×#103	—	2	2	no	—
131	C₁₉×#103	—	2	2	no	—
132	C₁₉×#103	—	4	1	no	—
133	C₁₉×#102	—	2	2	no	—
134	C₁₉×#102	—	2	2	no	—
135	C₁₉×#102	—	4	1	no	—
136	C₁₉×C₂²⋊C₈	—	2	2	no	—
137	C₁₉×C₂²⋊C₈	—	2	2	no	—
138	C₁₉×#97	—	2	2	no	—
139	C₁₉×#95	—	2	1	no	—
140	C₁₉×#95	—	2	1	no	—
141	C₁₉×#95	—	2	1	no	—
142	C₁₉×#95	—	2	1	no	—
143	C₁₉×#95	—	2	1	no	—
144	C₁₉×#95	—	2	1	no	—
145	C₂⁴×C₁₉	—	2	1	no	—
146	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
147	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
148	C₂×Q₈×C₁₉	—	2	1	no	—
149	C₂×Q₈×C₁₉	—	2	1	no	—
150	C₂×Q₈×C₁₉	—	2	1	no	—
151	C₂×Q₈×C₁₉	—	2	1	no	—
152	C₂×Q₈×C₁₉	—	2	1	no	—
153	C₂×Q₈×C₁₉	—	2	1	no	—
154	C₂×D₄×C₁₉	—	2	2	no	—
155	C₂×D₄×C₁₉	—	2	2	no	—
156	C₂×D₄×C₁₉	—	2	2	no	—
157	C₂×D₄×C₁₉	—	2	1	no	—
158	C₂×D₄×C₁₉	—	2	1	no	—
159	C₂×D₄×C₁₉	—	2	1	no	—
160	C₂×D₄×C₁₉	—	2	1	no	—
161	C₂×D₄×C₁₉	—	2	1	no	—
162	C₂×D₄×C₁₉	—	2	1	no	—
163	C₂×D₄×C₁₉	—	4	2	no	—
164	C₂×D₄×C₁₉	—	4	2	no	—
165	C₂×D₄×C₁₉	—	4	2	no	—
166	C₂×D₄×C₁₉	—	4	2	no	—
167	C₂×D₄×C₁₉	—	4	2	no	—
168	C₂×D₄×C₁₉	—	8	1	no	—
169	C₂²×C₄×C₁₉	—	2	1	no	—
170	C₂²×C₄×C₁₉	—	2	1	no	—
171	C₂²×C₄×C₁₉	—	2	1	no	—
172	C₂²×C₄×C₁₉	—	2	1	no	—
173	C₂²×C₄×C₁₉	—	2	1	no	—
174	C₂²×C₄×C₁₉	—	2	1	no	—
175	C₂²×C₄×C₁₉	—	2	1	no	—
176	C₂²×C₄×C₁₉	—	2	1	no	—
177	C₂²×C₄×C₁₉	—	2	1	no	—
178	C₂²×C₄×C₁₉	—	2	1	no	—
179	C₂²×C₄×C₁₉	—	2	1	no	—
180	C₂²×C₄×C₁₉	—	2	1	no	—
181	C₂²×C₄×C₁₉	—	2	1	no	—
182	C₂²×C₄×C₁₉	—	2	1	no	—
183	C₂²×C₄×C₁₉	—	2	1	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	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	—	8	1	no	—
191	C₂²×C₄×C₁₉	—	8	1	no	—
192	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
193	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
197	C₂²×C₄×C₁₉	#41	1	2	yes	—
198	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
199	SD₁₆×C₁₉	—	4	4	no	—
200	M₁₆×C₁₉	—	4	4	no	—
201	C₂×C₈×C₁₉	—	2	1	no	—
202	C₂×C₈×C₁₉	—	2	1	no	—
203	C₂×C₈×C₁₉	—	2	8	no	—
204	C₂×C₈×C₁₉	—	2	1	no	—
205	C₂×C₈×C₁₉	—	2	1	no	—
206	C₂×C₈×C₁₉	—	2	1	no	—
207	C₂×C₈×C₁₉	—	2	1	no	—
208	C₂×C₈×C₁₉	—	2	1	no	—
209	C₂×C₈×C₁₉	—	2	1	no	—
210	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
211	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
212	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
213	C₂×C₈×C₁₉	#41	1	2	yes	—
214	C₄⋊C₄×C₁₉	—	2	2	no	—
215	C₄⋊C₄×C₁₉	—	2	1	no	—
216	C₄⋊C₄×C₁₉	—	2	1	no	—
217	C₄⋊C₄×C₁₉	—	2	1	no	—
218	C₄⋊C₄×C₁₉	—	2	1	no	—
219	C₄⋊C₄×C₁₉	—	2	1	no	—
220	C₄⋊C₄×C₁₉	—	2	1	no	—
221	C₄⋊C₄×C₁₉	—	2	1	no	—
222	C₄⋊C₄×C₁₉	—	2	1	no	—
223	C₄⋊C₄×C₁₉	—	2	1	no	—
224	C₄⋊C₄×C₁₉	—	2	1	no	—
225	C₄⋊C₄×C₁₉	—	4	2	no	—
226	C₄⋊C₄×C₁₉	—	4	2	no	—
227	C₄⋊C₄×C₁₉	—	4	2	no	—
228	C₄⋊C₄×C₁₉	—	4	2	no	—
229	C₄⋊C₄×C₁₉	—	4	2	no	—
230	C₄⋊C₄×C₁₉	—	8	1	no	—
231	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
232	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
233	C₂²⋊C₄×C₁₉	—	2	2	no	—
234	C₂²⋊C₄×C₁₉	—	2	2	no	—
235	C₂²⋊C₄×C₁₉	—	4	2	no	—
236	C₂²⋊C₄×C₁₉	—	4	2	no	—
237	C₂²⋊C₄×C₁₉	—	4	2	no	—
238	C₂²⋊C₄×C₁₉	—	4	2	no	—
239	C₂²⋊C₄×C₁₉	—	4	2	no	—
240	C₂²⋊C₄×C₁₉	—	4	2	no	—
241	C₂²⋊C₄×C₁₉	—	8	1	no	—
242	C₂²⋊C₄×C₁₉	—	8	1	no	—
243	C₄²×C₁₉	—	2	1	no	—
244	C₄²×C₁₉	—	2	1	no	—
245	#24787	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
246	C₂³×C₁₉	—	2	1	no	—
247	C₂³×C₁₉	—	2	1	no	—
248	C₂³×C₁₉	—	2	1	no	—
249	C₂³×C₁₉	—	2	1	no	—
250	C₂³×C₁₉	—	2	1	no	—
251	C₂³×C₁₉	—	2	1	no	—
252	C₂³×C₁₉	—	2	1	no	—
253	C₂³×C₁₉	—	2	1	no	—
254	C₂³×C₁₉	—	2	1	no	—
255	C₂³×C₁₉	—	2	1	no	—
256	C₂³×C₁₉	—	2	1	no	—
257	C₂³×C₁₉	—	4	1	no	—
258	C₂³×C₁₉	—	4	1	no	—
259	C₂³×C₁₉	—	4	1	no	—
260	C₂³×C₁₉	—	4	1	no	—
261	C₂³×C₁₉	—	4	1	no	—
262	C₂³×C₁₉	—	4	1	no	—
263	C₂³×C₁₉	—	4	1	no	—
264	C₂³×C₁₉	#121	1	2	yes	—
265	C₂³×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
266	C₂³×C₁₉	#137	1	2	yes	—
267	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
268	Q₈×C₁₉	—	4	1	no	—
269	Q₈×C₁₉	—	4	1	no	—
270	Q₈×C₁₉	—	4	1	no	—
271	Q₈×C₁₉	—	4	1	no	—
272	D₄×C₁₉	—	4	4	no	—
273	D₄×C₁₉	—	4	1	no	—
274	D₄×C₁₉	—	4	1	no	—
275	D₄×C₁₉	—	4	1	no	—
276	D₄×C₁₉	—	4	1	no	—
277	D₄×C₁₉	—	8	4	no	—
278	D₄×C₁₉	—	8	4	no	—
279	C₂×C₄×C₁₉	—	2	1	no	—
280	C₂×C₄×C₁₉	—	2	1	no	—
281	C₂×C₄×C₁₉	—	2	2	no	—
282	C₂×C₄×C₁₉	—	2	2	no	—
283	C₂×C₄×C₁₉	—	2	2	no	—
284	C₂×C₄×C₁₉	—	2	2	no	—
285	C₂×C₄×C₁₉	—	2	1	no	—
286	C₂×C₄×C₁₉	—	2	1	no	—
287	C₂×C₄×C₁₉	—	2	1	no	—
288	C₂×C₄×C₁₉	—	2	1	no	—
289	C₂×C₄×C₁₉	—	2	2	no	—
290	C₂×C₄×C₁₉	—	2	2	no	—
291	C₂×C₄×C₁₉	—	2	1	no	—
292	C₂×C₄×C₁₉	—	2	1	no	—
293	C₂×C₄×C₁₉	—	2	1	no	—
294	C₂×C₄×C₁₉	—	2	1	no	—
295	C₂×C₄×C₁₉	—	2	1	no	—
296	C₂×C₄×C₁₉	—	4	1	no	—
297	C₂×C₄×C₁₉	—	4	1	no	—
298	C₂×C₄×C₁₉	—	4	1	no	—
299	C₂×C₄×C₁₉	—	4	1	no	—
300	C₂×C₄×C₁₉	—	4	1	no	—
301	C₂×C₄×C₁₉	—	4	1	no	—
302	C₂×C₄×C₁₉	—	4	1	no	—
303	C₂×C₄×C₁₉	—	4	1	no	—
304	C₂×C₄×C₁₉	—	4	1	no	—
305	C₂×C₄×C₁₉	—	4	1	no	—
306	C₂×C₄×C₁₉	—	4	1	no	—
307	C₂×C₄×C₁₉	—	4	1	no	—
308	C₂×C₄×C₁₉	—	4	1	no	—
309	C₂×C₄×C₁₉	—	4	1	no	—
310	C₂×C₄×C₁₉	—	4	1	no	—
311	C₂×C₄×C₁₉	—	4	1	no	—
312	C₂×C₄×C₁₉	—	4	1	no	—
313	C₂×C₄×C₁₉	—	4	1	no	—
314	C₂×C₄×C₁₉	—	4	1	no	—
315	C₂×C₄×C₁₉	—	4	1	no	—
316	C₂×C₄×C₁₉	—	4	1	no	—
317	C₂×C₄×C₁₉	—	4	1	no	—
318	C₂×C₄×C₁₉	—	4	1	no	—
319	C₂×C₄×C₁₉	—	8	4	no	—
320	C₂×C₄×C₁₉	—	8	4	no	—
321	C₂×C₄×C₁₉	#121	1	2	yes	—
322	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
323	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
324	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
325	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
326	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
327	C₂×C₄×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
328	C₈×C₁₉	—	2	2	no	—
329	C₈×C₁₉	—	4	1	no	—
330	C₈×C₁₉	—	4	1	no	—
331	C₈×C₁₉	#121	1	4	yes	complemented
332	C₂×#468	C₂×C₁₉	1	1	yes	characteristic, complemented
333	C₂×#465	C₂×C₁₉	1	1	yes	characteristic, complemented
334	C₂×#435	C₂×C₁₉	1	1	yes	characteristic, complemented
335	C₂²×#107	C₂×C₁₉	1	1	yes	characteristic, complemented
336	#2417	C₂×C₁₉	1	1	yes	characteristic, complemented
337	#2416	C₂×C₁₉	1	1	yes	characteristic
338	#2068	C₂×C₁₉	1	1	yes	characteristic, complemented
339	#2067	C₂×C₁₉	1	1	yes	characteristic, complemented
340	#2036	C₂×C₁₉	1	1	yes	characteristic, complemented
341	#2033	C₂×C₁₉	1	1	yes	characteristic, complemented
342	#1973	C₂×C₁₉	1	1	yes	characteristic, complemented
343	#1943	C₂×C₁₉	1	1	yes	characteristic, complemented
344	#1874	C₂×C₁₉	1	1	yes	characteristic, complemented
345	#1872	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#1809	C₂×C₁₉	1	1	yes	characteristic, complemented
347	C₂²×C₁₉	—	2	2	no	—
348	C₂²×C₁₉	—	2	2	no	—
349	C₂²×C₁₉	—	2	2	no	—
350	C₂²×C₁₉	—	2	2	no	—
351	C₂²×C₁₉	—	2	2	no	—
352	C₂²×C₁₉	—	2	2	no	—
353	C₂²×C₁₉	—	4	1	no	—
354	C₂²×C₁₉	—	4	1	no	—
355	C₂²×C₁₉	—	4	1	no	—
356	C₂²×C₁₉	—	4	1	no	—
357	C₂²×C₁₉	—	4	1	no	—
358	C₂²×C₁₉	—	4	1	no	—
359	C₂²×C₁₉	—	4	1	no	—
360	C₂²×C₁₉	—	8	1	no	—
361	C₂²×C₁₉	—	8	1	no	—
362	C₂²×C₁₉	—	8	1	no	—
363	C₂²×C₁₉	—	8	1	no	—
364	C₂²×C₁₉	—	8	1	no	—
365	C₂²×C₁₉	—	8	1	no	—
366	C₂²×C₁₉	—	8	1	no	—
367	C₂²×C₁₉	#468	1	4	yes	complemented
368	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
369	C₂²×C₁₉	D₄²	1	1	yes	characteristic
370	C₂²×C₁₉	#547	1	1	yes	characteristic
371	C₂²×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
372	C₂²×C₁₉	C₂×#137	1	1	yes	characteristic
373	C₂²×C₁₉	#576	1	1	yes	characteristic
374	C₂²×C₁₉	#578	1	1	yes	characteristic
375	C₄×C₁₉	—	2	2	no	—
376	C₄×C₁₉	—	4	1	no	—
377	C₄×C₁₉	—	4	2	no	—
378	C₄×C₁₉	—	4	2	no	—
379	C₄×C₁₉	—	4	1	no	—
380	C₄×C₁₉	—	4	1	no	—
381	C₄×C₁₉	—	8	1	no	—
382	C₄×C₁₉	—	8	1	no	—
383	C₄×C₁₉	—	8	1	no	—
384	C₄×C₁₉	—	8	1	no	—
385	C₄×C₁₉	—	8	1	no	—
386	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
387	C₄×C₁₉	#537	1	1	yes	characteristic
388	C₄×C₁₉	#548	1	1	yes	characteristic
389	C₄×C₁₉	#553	1	1	yes	characteristic
390	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
391	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
392	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
393	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
394	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
395	C₂×#121	—	2	1	no	—
396	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
397	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
398	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
399	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
400	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
401	#468	—	2	4	no	—
402	#465	—	2	4	no	—
403	#435	—	2	4	no	—
404	C₂×#107	—	2	4	no	—
405	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
406	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
407	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
408	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
409	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic
410	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
411	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
412	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
414	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
415	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
416	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
417	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
418	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
419	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
420	#398	—	2	1	no	—
421	#396	—	2	1	no	—
422	#396	—	2	1	no	—
423	#394	—	2	1	no	—
424	#391	C₂²×C₁₉	1	1	yes	characteristic
425	#390	C₂²×C₁₉	1	1	yes	characteristic
426	#389	C₂²×C₁₉	1	1	yes	characteristic
427	#389	C₂²×C₁₉	1	1	yes	characteristic
428	#386	—	2	1	no	—
429	#386	—	2	1	no	—
430	#380	—	2	1	no	—
431	#380	C₂²×C₁₉	1	1	yes	characteristic
432	#380	C₂²×C₁₉	1	1	yes	characteristic
433	#340	C₂²×C₁₉	1	1	yes	characteristic
434	#340	C₂²×C₁₉	1	1	yes	characteristic
435	#340	C₂²×C₁₉	1	1	yes	characteristic
436	#340	C₂²×C₁₉	1	1	yes	characteristic
437	C₂×C₁₉	—	2	4	no	—
438	C₂×C₁₉	—	8	1	no	—
439	C₂×C₁₉	—	16	1	no	—
440	C₂×C₁₉	#2416	1	1	yes	characteristic
441	C₂×C₁₉	C₂×#468	1	1	yes	characteristic
442	C₂×C₁₉	#3061	1	1	yes	characteristic
443	C₂×C₁₉	#3264	1	1	yes	characteristic
444	C₂×C₁₉	#3270	1	1	yes	characteristic
445	C₂×C₁₉	#3343	1	1	yes	characteristic
446	C₂×C₁₉	#3346	1	1	yes	characteristic
447	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
448	C₂²×D₄	—	2	1	no	—
449	C₂²×D₄	—	2	1	no	—
450	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
451	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
452	C₂³×C₄	—	2	1	no	—
453	C₂³×C₄	—	2	1	no	—
454	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
455	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
456	C₂×SD₁₆	—	2	2	no	—
457	C₂×SD₁₆	—	2	2	no	—
458	C₂×SD₁₆	—	2	2	no	—
459	C₂×M₁₆	—	2	2	no	—
460	C₂×M₁₆	—	2	2	no	—
461	C₂×M₁₆	—	2	2	no	—
462	C₂²×C₈	—	2	2	no	—
463	C₂²×C₈	—	2	2	no	—
464	C₂²×C₈	D₄×C₁₉	1	4	yes	complemented
465	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
468	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
469	C₂²⋊Q₈	—	2	2	no	—
470	C₂²⋊Q₈	—	2	2	no	—
471	C₂²⋊Q₈	—	2	2	no	—
472	C₂²⋊Q₈	—	4	1	no	—
473	#121	—	2	2	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#121	—	4	1	no	—
477	#121	—	4	4	no	—
478	C₄×D₄	—	2	2	no	—
479	C₄×D₄	—	2	2	no	—
480	C₂×C₄⋊C₄	—	2	2	no	—
481	C₂×C₄⋊C₄	—	2	2	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	4	1	no	—
489	C₂×C₄⋊C₄	—	4	1	no	—
490	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
494	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
495	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
496	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	—	2	1	no	—
502	C₂×C₂²⋊C₄	—	2	1	no	—
503	C₂×C₂²⋊C₄	—	2	1	no	—
504	C₂×C₂²⋊C₄	—	2	1	no	—
505	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
506	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
508	#107	—	2	2	no	—
509	#107	—	2	2	no	—
510	#107	—	2	2	no	—
511	#107	D₄×C₁₉	1	4	yes	complemented
512	#106	—	2	2	no	—
513	C₄⋊C₈	—	2	2	no	—
514	#103	—	2	2	no	—
515	#103	—	2	2	no	—
516	#103	—	4	1	no	—
517	#102	—	2	2	no	—
518	#102	—	2	2	no	—
519	#102	—	4	1	no	—
520	C₂²⋊C₈	—	2	2	no	—
521	C₂²⋊C₈	—	2	2	no	—
522	#97	—	2	2	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	#95	—	2	1	no	—
526	#95	—	2	1	no	—
527	#95	—	2	1	no	—
528	#95	—	2	1	no	—
529	C₁₉	#24787	1	1	yes	characteristic, direct product factor, Sylow
530	C₂⁴	—	2	1	no	—
531	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
532	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
533	C₂×Q₈	—	2	1	no	—
534	C₂×Q₈	—	2	1	no	—
535	C₂×Q₈	—	2	1	no	—
536	C₂×Q₈	—	2	1	no	—
537	C₂×Q₈	—	2	1	no	—
538	C₂×Q₈	—	2	1	no	—
539	C₂×D₄	—	2	2	no	—
540	C₂×D₄	—	2	2	no	—
541	C₂×D₄	—	2	2	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	2	1	no	—
547	C₂×D₄	—	2	1	no	—
548	C₂×D₄	—	4	2	no	—
549	C₂×D₄	—	4	2	no	—
550	C₂×D₄	—	4	2	no	—
551	C₂×D₄	—	4	2	no	—
552	C₂×D₄	—	4	2	no	—
553	C₂×D₄	—	8	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	4	2	no	—
572	C₂²×C₄	—	4	2	no	—
573	C₂²×C₄	—	4	2	no	—
574	C₂²×C₄	—	4	2	no	—
575	C₂²×C₄	—	8	1	no	—
576	C₂²×C₄	—	8	1	no	—
577	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
578	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
579	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
580	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
581	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
582	C₂²×C₄	#41×C₁₉	1	2	yes	—
583	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
584	SD₁₆	—	4	4	no	—
585	M₁₆	—	4	4	no	—
586	C₂×C₈	—	2	1	no	—
587	C₂×C₈	—	2	1	no	—
588	C₂×C₈	—	2	8	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
596	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
597	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
598	C₂×C₈	#41×C₁₉	1	2	yes	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	1	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	2	1	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	4	2	no	—
611	C₄⋊C₄	—	4	2	no	—
612	C₄⋊C₄	—	4	2	no	—
613	C₄⋊C₄	—	4	2	no	—
614	C₄⋊C₄	—	4	2	no	—
615	C₄⋊C₄	—	8	1	no	—
616	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
617	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
618	C₂²⋊C₄	—	2	2	no	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	—	4	2	no	—
621	C₂²⋊C₄	—	4	2	no	—
622	C₂²⋊C₄	—	4	2	no	—
623	C₂²⋊C₄	—	4	2	no	—
624	C₂²⋊C₄	—	4	2	no	—
625	C₂²⋊C₄	—	4	2	no	—
626	C₂²⋊C₄	—	8	1	no	—
627	C₂²⋊C₄	—	8	1	no	—
628	C₄²	—	2	1	no	—
629	C₄²	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	1	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	1	no	—
648	C₂³	C₁₉×#121	1	2	yes	—
649	C₂³	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
650	C₂³	C₁₉×#137	1	2	yes	—
651	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
652	Q₈	—	4	1	no	—
653	Q₈	—	4	1	no	—
654	Q₈	—	4	1	no	—
655	Q₈	—	4	1	no	—
656	D₄	—	4	4	no	—
657	D₄	—	4	1	no	—
658	D₄	—	4	1	no	—
659	D₄	—	4	1	no	—
660	D₄	—	4	1	no	—
661	D₄	—	8	4	no	—
662	D₄	—	8	4	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	4	1	no	—
681	C₂×C₄	—	4	1	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	1	no	—
684	C₂×C₄	—	4	1	no	—
685	C₂×C₄	—	4	1	no	—
686	C₂×C₄	—	4	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	8	4	no	—
704	C₂×C₄	—	8	4	no	—
705	C₂×C₄	C₁₉×#121	1	2	yes	—
706	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
707	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
708	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
709	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
710	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
711	C₂×C₄	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
712	C₈	—	2	2	no	—
713	C₈	—	4	1	no	—
714	C₈	—	4	1	no	—
715	C₈	C₁₉×#121	1	4	yes	complemented
716	C₂²	—	2	2	no	—
717	C₂²	—	2	2	no	—
718	C₂²	—	2	2	no	—
719	C₂²	—	2	2	no	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	2	no	—
722	C₂²	—	4	1	no	—
723	C₂²	—	4	1	no	—
724	C₂²	—	4	1	no	—
725	C₂²	—	4	1	no	—
726	C₂²	—	4	1	no	—
727	C₂²	—	4	1	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	8	1	no	—
730	C₂²	—	8	1	no	—
731	C₂²	—	8	1	no	—
732	C₂²	—	8	1	no	—
733	C₂²	—	8	1	no	—
734	C₂²	—	8	1	no	—
735	C₂²	—	8	1	no	—
736	C₂²	C₁₉×#468	1	4	yes	complemented
737	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
738	C₂²	D₄²×C₁₉	1	1	yes	characteristic
739	C₂²	C₁₉×#547	1	1	yes	characteristic
740	C₂²	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
741	C₂²	C₂×C₁₉×#137	1	1	yes	characteristic
742	C₂²	C₁₉×#576	1	1	yes	characteristic
743	C₂²	C₁₉×#578	1	1	yes	characteristic
744	C₄	—	2	2	no	—
745	C₄	—	4	1	no	—
746	C₄	—	4	2	no	—
747	C₄	—	4	2	no	—
748	C₄	—	4	1	no	—
749	C₄	—	4	1	no	—
750	C₄	—	8	1	no	—
751	C₄	—	8	1	no	—
752	C₄	—	8	1	no	—
753	C₄	—	8	1	no	—
754	C₄	—	8	1	no	—
755	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
756	C₄	C₁₉×#537	1	1	yes	characteristic
757	C₄	C₁₉×#548	1	1	yes	characteristic
758	C₄	C₁₉×#553	1	1	yes	characteristic
759	C₂	—	2	4	no	—
760	C₂	—	8	1	no	—
761	C₂	—	16	1	no	—
762	C₂	C₁₉×#2416	1	1	yes	characteristic
763	C₂	C₂×C₁₉×#468	1	1	yes	characteristic
764	C₂	C₁₉×#3061	1	1	yes	characteristic
765	C₂	C₁₉×#3264	1	1	yes	characteristic
766	C₂	C₁₉×#3270	1	1	yes	characteristic
767	C₂	C₁₉×#3343	1	1	yes	characteristic
768	C₂	C₁₉×#3346	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₁₉×#2416	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#468	C₂	semidirect
2. C₂×C₁₉×#465	C₂	semidirect
3. C₂×C₁₉×#435	C₂	semidirect
4. C₂²×C₁₉×#107	C₂	semidirect
5. C₁₉×#2417	C₂	semidirect
7. C₁₉×#2068	C₂	semidirect
8. C₁₉×#2067	C₂	semidirect
9. C₁₉×#2036	C₂	semidirect
10. C₁₉×#2033	C₂	semidirect
11. C₁₉×#1973	C₂	semidirect
12. C₁₉×#1943	C₂	semidirect
13. C₁₉×#1874	C₂	semidirect
14. C₁₉×#1872	C₂	semidirect
15. C₁₉×#1809	C₂	semidirect
80. C₂²×C₈×C₁₉	D₄	semidirect
127. C₁₉×#107	D₄	semidirect
245. #24787	C₁₉	direct (N × H)
331. C₈×C₁₉	#121	semidirect
332. C₂×#468	C₂×C₁₉	semidirect
333. C₂×#465	C₂×C₁₉	semidirect
334. C₂×#435	C₂×C₁₉	semidirect
335. C₂²×#107	C₂×C₁₉	semidirect
336. #2417	C₂×C₁₉	semidirect
338. #2068	C₂×C₁₉	semidirect
339. #2067	C₂×C₁₉	semidirect
340. #2036	C₂×C₁₉	semidirect
341. #2033	C₂×C₁₉	semidirect
342. #1973	C₂×C₁₉	semidirect
343. #1943	C₂×C₁₉	semidirect
344. #1874	C₂×C₁₉	semidirect
345. #1872	C₂×C₁₉	semidirect
346. #1809	C₂×C₁₉	semidirect
367. C₂²×C₁₉	#468	semidirect
464. C₂²×C₈	D₄×C₁₉	semidirect
511. #107	D₄×C₁₉	semidirect
529. C₁₉	#24787	direct (N × H)
715. C₈	C₁₉×#121	semidirect
736. C₂²	C₁₉×#468	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#468	2
C₂×C₁₉×#465	2
C₂×C₁₉×#435	2
C₂²×C₁₉×#107	2
C₁₉×#2417	2
C₁₉×#2416	2
C₁₉×#2068	2
C₁₉×#2067	2
C₁₉×#2036	2
C₁₉×#2033	2
C₁₉×#1973	2
C₁₉×#1943	2
C₁₉×#1874	2
C₁₉×#1872	2
C₁₉×#1809	2
#24787	19

Subgroups — C19×#24787 #18030746

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#24787 #18030746