Subgroups — C₁₉×#21465 #18027424

Order 4864.

1420 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#520	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#452	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#440	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2323	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1878	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1877	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1872	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1863	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1862	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1852	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1788	C₂	1	1	yes	maximal, characteristic
13	C₁₉×#1763	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₉×#102	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1750	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
20	C₁₉×#520	—	2	4	no	—
21	C₁₉×#520	—	2	4	no	—
22	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
24	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
25	C₂×C₄×D₄×C₁₉	—	2	1	no	—
26	C₂×C₄×D₄×C₁₉	—	2	1	no	—
27	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂×C₁₉×#117	—	2	1	no	—
30	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
31	C₂²×C₄⋊C₄×C₁₉	—	2	1	no	—
32	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₁₉×#452	C₄	1	8	yes	complemented
34	C₁₉×#440	—	2	4	no	—
35	C₄×Q₁₆×C₁₉	—	2	4	no	—
36	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#107	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×#103	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
42	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
43	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
46	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
47	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
48	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
50	C₁₉×#391	C₂²	1	1	yes	characteristic
51	C₁₉×#389	—	2	1	no	—
52	C₁₉×#389	C₂²	1	1	yes	characteristic
53	C₁₉×#388	—	2	1	no	—
54	C₁₉×#388	—	2	1	no	—
55	C₁₉×#387	—	2	1	no	—
56	C₁₉×#380	C₂²	1	1	yes	characteristic
57	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
58	C₁₉×#340	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×#336	C₂²	1	1	yes	characteristic
63	C₁₉×#336	C₂²	1	1	yes	characteristic
64	C₂×#41×C₁₉	—	2	2	no	—
65	C₂×#41×C₁₉	—	2	2	no	—
66	C₂×#41×C₁₉	—	2	2	no	—
67	C₂×#41×C₁₉	—	2	2	no	—
68	C₂×#41×C₁₉	—	2	2	no	—
69	C₂×#41×C₁₉	C₂×C₄	1	4	yes	—
70	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₁₉	—	2	1	no	—
73	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₁₉	—	2	1	no	—
75	C₂³×C₄×C₁₉	—	2	1	no	—
76	C₂³×C₄×C₁₉	—	2	1	no	—
77	C₂³×C₄×C₁₉	—	2	1	no	—
78	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
79	C₂×Q₁₆×C₁₉	—	2	2	no	—
80	C₂×Q₁₆×C₁₉	—	2	2	no	—
81	C₂×Q₁₆×C₁₉	C₂×C₄	1	4	yes	complemented
82	C₂×SD₁₆×C₁₉	—	2	2	no	—
83	C₂×SD₁₆×C₁₉	—	2	2	no	—
84	C₂×SD₁₆×C₁₉	C₂×C₄	1	4	yes	complemented
85	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
86	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
87	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
89	C₁₉×C₂²⋊Q₈	—	2	2	no	—
90	C₁₉×C₂²⋊Q₈	C₂×C₄	1	4	yes	complemented
91	C₄×Q₈×C₁₉	—	2	2	no	—
92	C₄×Q₈×C₁₉	—	2	2	no	—
93	C₄×Q₈×C₁₉	—	2	2	no	—
94	C₄×Q₈×C₁₉	—	2	2	no	—
95	C₄×Q₈×C₁₉	—	2	2	no	—
96	C₄×Q₈×C₁₉	D₄	1	4	yes	—
97	C₄×D₄×C₁₉	—	2	8	no	—
98	C₄×D₄×C₁₉	—	2	8	no	—
99	C₄×D₄×C₁₉	—	2	2	no	—
100	C₄×D₄×C₁₉	—	2	2	no	—
101	C₄×D₄×C₁₉	—	2	2	no	—
102	C₄×D₄×C₁₉	D₄	1	4	yes	—
103	C₁₉×#117	—	2	8	no	—
104	C₁₉×#117	—	2	2	no	—
105	C₁₉×#117	—	2	2	no	—
106	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
107	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
108	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
109	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
110	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
111	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
114	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
115	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
117	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
118	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
119	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
120	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
121	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
122	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
123	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
124	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
125	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
126	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
127	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
128	C₂×C₄²×C₁₉	—	2	1	no	—
129	C₂×C₄²×C₁₉	—	2	1	no	—
130	C₂×C₄²×C₁₉	—	2	1	no	—
131	C₂×C₄²×C₁₉	—	2	1	no	—
132	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
133	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
134	C₁₉×#107	—	2	2	no	—
135	C₁₉×#107	—	2	2	no	—
136	C₁₉×#103	—	2	2	no	—
137	C₁₉×#103	—	2	2	no	—
138	C₁₉×#103	—	2	2	no	—
139	C₁₉×#103	—	2	2	no	—
140	C₁₉×#103	C₂×C₄	1	4	yes	complemented
141	C₁₉×#102	—	2	2	no	—
142	C₁₉×#102	—	2	2	no	—
143	C₁₉×#102	C₂×C₄	1	4	yes	complemented
144	C₁₉×C₂²⋊C₈	—	2	2	no	—
145	C₁₉×C₂²⋊C₈	C₂×C₄	1	4	yes	complemented
146	C₁₉×#97	—	2	2	no	—
147	C₄×C₈×C₁₉	—	2	2	no	—
148	C₁₉×#95	—	2	1	no	—
149	C₁₉×#95	—	2	1	no	—
150	C₁₉×#95	—	2	1	no	—
151	C₁₉×#95	—	2	1	no	—
152	C₁₉×#95	—	2	1	no	—
153	C₂⁴×C₁₉	—	2	1	no	—
154	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
155	#41×C₁₉	—	2	8	no	—
156	#41×C₁₉	—	2	8	no	—
157	#41×C₁₉	—	2	8	no	—
158	#41×C₁₉	—	2	8	no	—
159	C₂×Q₈×C₁₉	—	2	1	no	—
160	C₂×Q₈×C₁₉	—	2	1	no	—
161	C₂×Q₈×C₁₉	—	2	1	no	—
162	C₂×Q₈×C₁₉	—	2	1	no	—
163	C₂×Q₈×C₁₉	—	2	1	no	—
164	C₂×Q₈×C₁₉	—	2	1	no	—
165	C₂×Q₈×C₁₉	—	2	1	no	—
166	C₂×Q₈×C₁₉	—	2	1	no	—
167	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
168	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
169	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
170	C₂×Q₈×C₁₉	#41	1	2	yes	—
171	C₂×D₄×C₁₉	—	2	4	no	—
172	C₂×D₄×C₁₉	—	2	4	no	—
173	C₂×D₄×C₁₉	—	2	4	no	—
174	C₂×D₄×C₁₉	—	2	1	no	—
175	C₂×D₄×C₁₉	—	2	1	no	—
176	C₂×D₄×C₁₉	—	2	1	no	—
177	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
178	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
179	C₂×D₄×C₁₉	#41	1	2	yes	—
180	C₂²×C₄×C₁₉	—	2	4	no	—
181	C₂²×C₄×C₁₉	—	2	4	no	—
182	C₂²×C₄×C₁₉	—	2	1	no	—
183	C₂²×C₄×C₁₉	—	2	4	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	1	no	—
186	C₂²×C₄×C₁₉	—	2	1	no	—
187	C₂²×C₄×C₁₉	—	2	1	no	—
188	C₂²×C₄×C₁₉	—	2	1	no	—
189	C₂²×C₄×C₁₉	—	2	1	no	—
190	C₂²×C₄×C₁₉	—	2	1	no	—
191	C₂²×C₄×C₁₉	—	2	1	no	—
192	C₂²×C₄×C₁₉	—	2	4	no	—
193	C₂²×C₄×C₁₉	—	2	4	no	—
194	C₂²×C₄×C₁₉	—	2	4	no	—
195	C₂²×C₄×C₁₉	—	2	1	no	—
196	C₂²×C₄×C₁₉	—	2	1	no	—
197	C₂²×C₄×C₁₉	—	8	1	no	—
198	C₂²×C₄×C₁₉	—	8	1	no	—
199	C₂²×C₄×C₁₉	—	8	1	no	—
200	C₂²×C₄×C₁₉	—	8	1	no	—
201	C₂²×C₄×C₁₉	—	8	1	no	—
202	C₂²×C₄×C₁₉	—	8	1	no	—
203	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
204	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
206	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₁₉	#41	1	2	yes	—
210	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
211	Q₁₆×C₁₉	—	2	8	no	—
212	SD₁₆×C₁₉	—	2	8	no	—
213	C₂×C₈×C₁₉	—	2	1	no	—
214	C₂×C₈×C₁₉	—	2	1	no	—
215	C₂×C₈×C₁₉	—	2	1	no	—
216	C₂×C₈×C₁₉	—	2	1	no	—
217	C₂×C₈×C₁₉	—	2	1	no	—
218	C₂×C₈×C₁₉	—	2	1	no	—
219	C₂×C₈×C₁₉	—	2	1	no	—
220	C₂×C₈×C₁₉	—	2	1	no	—
221	C₂×C₈×C₁₉	—	2	1	no	—
222	C₂×C₈×C₁₉	—	2	1	no	—
223	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
224	C₂×C₈×C₁₉	C₂²×C₄	1	2	yes	—
225	C₄⋊C₄×C₁₉	—	2	4	no	—
226	C₄⋊C₄×C₁₉	—	2	4	no	—
227	C₄⋊C₄×C₁₉	—	2	4	no	—
228	C₄⋊C₄×C₁₉	—	2	2	no	—
229	C₄⋊C₄×C₁₉	—	2	4	no	—
230	C₄⋊C₄×C₁₉	—	2	2	no	—
231	C₄⋊C₄×C₁₉	—	2	1	no	—
232	C₄⋊C₄×C₁₉	—	2	1	no	—
233	C₄⋊C₄×C₁₉	—	2	1	no	—
234	C₄⋊C₄×C₁₉	—	2	1	no	—
235	C₄⋊C₄×C₁₉	—	2	1	no	—
236	C₄⋊C₄×C₁₉	—	2	1	no	—
237	C₄⋊C₄×C₁₉	—	2	1	no	—
238	C₄⋊C₄×C₁₉	—	4	2	no	—
239	C₄⋊C₄×C₁₉	—	8	1	no	—
240	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
241	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
242	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
243	C₂²⋊C₄×C₁₉	—	2	4	no	—
244	C₂²⋊C₄×C₁₉	—	2	4	no	—
245	C₂²⋊C₄×C₁₉	—	2	4	no	—
246	C₂²⋊C₄×C₁₉	—	2	2	no	—
247	C₂²⋊C₄×C₁₉	—	2	2	no	—
248	C₂²⋊C₄×C₁₉	—	8	1	no	—
249	C₄²×C₁₉	—	2	4	no	—
250	C₄²×C₁₉	—	2	4	no	—
251	C₄²×C₁₉	—	2	1	no	—
252	C₄²×C₁₉	—	2	1	no	—
253	C₄²×C₁₉	—	4	2	no	—
254	C₄²×C₁₉	—	8	1	no	—
255	C₄²×C₁₉	C₂×D₄	1	2	yes	—
256	C₄²×C₁₉	C₂×D₄	1	2	yes	—
257	#21465	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
258	C₂³×C₁₉	—	2	2	no	—
259	C₂³×C₁₉	—	2	1	no	—
260	C₂³×C₁₉	—	2	2	no	—
261	C₂³×C₁₉	—	2	1	no	—
262	C₂³×C₁₉	—	2	2	no	—
263	C₂³×C₁₉	—	2	1	no	—
264	C₂³×C₁₉	—	2	1	no	—
265	C₂³×C₁₉	—	2	1	no	—
266	C₂³×C₁₉	—	2	1	no	—
267	C₂³×C₁₉	—	4	1	no	—
268	C₂³×C₁₉	—	4	1	no	—
269	C₂³×C₁₉	—	4	1	no	—
270	C₂³×C₁₉	—	4	1	no	—
271	C₂³×C₁₉	C₄×D₄	1	2	yes	—
272	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
273	Q₈×C₁₉	—	2	2	no	—
274	Q₈×C₁₉	—	2	2	no	—
275	Q₈×C₁₉	—	2	2	no	—
276	Q₈×C₁₉	—	2	2	no	—
277	Q₈×C₁₉	—	2	2	no	—
278	Q₈×C₁₉	—	4	1	no	—
279	Q₈×C₁₉	—	4	1	no	—
280	Q₈×C₁₉	C₄×D₄	1	4	yes	—
281	D₄×C₁₉	—	2	16	no	—
282	D₄×C₁₉	—	2	2	no	—
283	D₄×C₁₉	—	2	2	no	—
284	D₄×C₁₉	—	2	2	no	—
285	D₄×C₁₉	C₄×D₄	1	4	yes	—
286	C₂×C₄×C₁₉	—	2	16	no	—
287	C₂×C₄×C₁₉	—	2	2	no	—
288	C₂×C₄×C₁₉	—	2	2	no	—
289	C₂×C₄×C₁₉	—	2	1	no	—
290	C₂×C₄×C₁₉	—	2	1	no	—
291	C₂×C₄×C₁₉	—	2	2	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	—	2	2	no	—
297	C₂×C₄×C₁₉	—	2	2	no	—
298	C₂×C₄×C₁₉	—	2	2	no	—
299	C₂×C₄×C₁₉	—	2	2	no	—
300	C₂×C₄×C₁₉	—	2	2	no	—
301	C₂×C₄×C₁₉	—	2	2	no	—
302	C₂×C₄×C₁₉	—	2	1	no	—
303	C₂×C₄×C₁₉	—	2	1	no	—
304	C₂×C₄×C₁₉	—	2	2	no	—
305	C₂×C₄×C₁₉	—	2	2	no	—
306	C₂×C₄×C₁₉	—	2	1	no	—
307	C₂×C₄×C₁₉	—	2	1	no	—
308	C₂×C₄×C₁₉	—	2	1	no	—
309	C₂×C₄×C₁₉	—	2	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	—	4	1	no	—
320	C₂×C₄×C₁₉	—	4	1	no	—
321	C₂×C₄×C₁₉	—	4	1	no	—
322	C₂×C₄×C₁₉	—	4	1	no	—
323	C₂×C₄×C₁₉	—	4	1	no	—
324	C₂×C₄×C₁₉	—	8	4	no	—
325	C₂×C₄×C₁₉	—	8	4	no	—
326	C₂×C₄×C₁₉	—	8	4	no	—
327	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
328	C₂×C₄×C₁₉	#120	1	2	yes	—
329	C₂×C₄×C₁₉	#120	1	2	yes	—
330	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
331	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
334	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
335	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
336	C₈×C₁₉	—	2	2	no	—
337	C₈×C₁₉	—	2	2	no	—
338	C₈×C₁₉	—	4	1	no	—
339	C₈×C₁₉	—	4	1	no	—
340	C₂×#520	C₂×C₁₉	1	1	yes	characteristic
341	C₂×#452	C₂×C₁₉	1	1	yes	characteristic
342	C₂×#440	C₂×C₁₉	1	1	yes	characteristic, complemented
343	C₂×C₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
344	#2323	C₂×C₁₉	1	1	yes	characteristic, complemented
345	#1878	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#1877	C₂×C₁₉	1	1	yes	characteristic, complemented
347	#1872	C₂×C₁₉	1	1	yes	characteristic, complemented
348	#1863	C₂×C₁₉	1	1	yes	characteristic, complemented
349	#1862	C₂×C₁₉	1	1	yes	characteristic, complemented
350	#1852	C₂×C₁₉	1	1	yes	characteristic, complemented
351	#1788	C₂×C₁₉	1	1	yes	characteristic
352	#1763	C₂×C₁₉	1	1	yes	characteristic, complemented
353	C₄×#102	C₂×C₁₉	1	1	yes	characteristic, complemented
354	#1750	C₂×C₁₉	1	1	yes	characteristic, complemented
355	C₂²×C₁₉	—	2	2	no	—
356	C₂²×C₁₉	—	2	2	no	—
357	C₂²×C₁₉	—	2	2	no	—
358	C₂²×C₁₉	—	2	4	no	—
359	C₂²×C₁₉	—	4	1	no	—
360	C₂²×C₁₉	—	4	2	no	—
361	C₂²×C₁₉	—	4	1	no	—
362	C₂²×C₁₉	—	4	2	no	—
363	C₂²×C₁₉	—	4	2	no	—
364	C₂²×C₁₉	—	4	2	no	—
365	C₂²×C₁₉	—	4	1	no	—
366	C₂²×C₁₉	—	4	2	no	—
367	C₂²×C₁₉	—	4	1	no	—
368	C₂²×C₁₉	—	4	2	no	—
369	C₂²×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
370	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
371	C₂²×C₁₉	#525	1	1	yes	characteristic
372	C₂²×C₁₉	#576	1	1	yes	characteristic
373	C₂²×C₁₉	#577	1	1	yes	characteristic
374	C₂²×C₁₉	#578	1	1	yes	characteristic
375	C₂²×C₁₉	#578	1	1	yes	characteristic
376	C₄×C₁₉	—	2	2	no	—
377	C₄×C₁₉	—	2	2	no	—
378	C₄×C₁₉	—	2	2	no	—
379	C₄×C₁₉	—	2	4	no	—
380	C₄×C₁₉	—	4	2	no	—
381	C₄×C₁₉	—	4	1	no	—
382	C₄×C₁₉	—	4	1	no	—
383	C₄×C₁₉	—	4	2	no	—
384	C₄×C₁₉	—	4	2	no	—
385	C₄×C₁₉	—	4	2	no	—
386	C₄×C₁₉	—	8	1	no	—
387	C₄×C₁₉	—	8	1	no	—
388	C₄×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
389	C₄×C₁₉	C₂×C₄×D₄	1	1	yes	characteristic
390	C₄×C₁₉	#525	1	1	yes	characteristic
391	C₄×C₁₉	#525	1	1	yes	characteristic
392	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
393	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
394	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
395	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
396	#520	—	2	4	no	—
397	#520	—	2	4	no	—
398	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
399	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
400	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
401	C₂×C₄×D₄	—	2	1	no	—
402	C₂×C₄×D₄	—	2	1	no	—
403	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
405	C₂×#117	—	2	1	no	—
406	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
407	C₂²×C₄⋊C₄	—	2	1	no	—
408	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
409	#452	C₄×C₁₉	1	8	yes	complemented
410	#440	—	2	4	no	—
411	C₄×Q₁₆	—	2	4	no	—
412	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
414	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
415	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
416	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
417	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
418	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
419	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
420	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
421	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
422	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
423	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
424	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
425	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
426	#391	C₂²×C₁₉	1	1	yes	characteristic
427	#389	—	2	1	no	—
428	#389	C₂²×C₁₉	1	1	yes	characteristic
429	#388	—	2	1	no	—
430	#388	—	2	1	no	—
431	#387	—	2	1	no	—
432	#380	C₂²×C₁₉	1	1	yes	characteristic
433	C₄×C₄⋊C₄	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	#340	C₂²×C₁₉	1	1	yes	characteristic
438	#336	C₂²×C₁₉	1	1	yes	characteristic
439	#336	C₂²×C₁₉	1	1	yes	characteristic
440	C₂×C₁₉	—	4	2	no	—
441	C₂×C₁₉	—	4	4	no	—
442	C₂×C₁₉	C₄×#120	1	1	yes	characteristic
443	C₂×C₁₉	#2947	1	1	yes	characteristic
444	C₂×C₁₉	#2951	1	1	yes	characteristic
445	C₂×C₁₉	#3011	1	1	yes	characteristic
446	C₂×C₁₉	#3012	1	1	yes	characteristic
447	C₂×C₁₉	#3120	1	1	yes	characteristic
448	C₂×C₁₉	#3124	1	1	yes	characteristic
449	C₂×#41	—	2	2	no	—
450	C₂×#41	—	2	2	no	—
451	C₂×#41	—	2	2	no	—
452	C₂×#41	—	2	2	no	—
453	C₂×#41	—	2	2	no	—
454	C₂×#41	C₂×C₄×C₁₉	1	4	yes	—
455	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
456	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
457	C₂²×D₄	—	2	1	no	—
458	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
459	C₂³×C₄	—	2	1	no	—
460	C₂³×C₄	—	2	1	no	—
461	C₂³×C₄	—	2	1	no	—
462	C₂³×C₄	—	2	1	no	—
463	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
464	C₂×Q₁₆	—	2	2	no	—
465	C₂×Q₁₆	—	2	2	no	—
466	C₂×Q₁₆	C₂×C₄×C₁₉	1	4	yes	complemented
467	C₂×SD₁₆	—	2	2	no	—
468	C₂×SD₁₆	—	2	2	no	—
469	C₂×SD₁₆	C₂×C₄×C₁₉	1	4	yes	complemented
470	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
471	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
472	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
473	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
474	C₂²⋊Q₈	—	2	2	no	—
475	C₂²⋊Q₈	C₂×C₄×C₁₉	1	4	yes	complemented
476	C₄×Q₈	—	2	2	no	—
477	C₄×Q₈	—	2	2	no	—
478	C₄×Q₈	—	2	2	no	—
479	C₄×Q₈	—	2	2	no	—
480	C₄×Q₈	—	2	2	no	—
481	C₄×Q₈	D₄×C₁₉	1	4	yes	—
482	C₄×D₄	—	2	8	no	—
483	C₄×D₄	—	2	8	no	—
484	C₄×D₄	—	2	2	no	—
485	C₄×D₄	—	2	2	no	—
486	C₄×D₄	—	2	2	no	—
487	C₄×D₄	D₄×C₁₉	1	4	yes	—
488	#117	—	2	8	no	—
489	#117	—	2	2	no	—
490	#117	—	2	2	no	—
491	C₂×C₄⋊C₄	—	2	8	no	—
492	C₂×C₄⋊C₄	—	2	1	no	—
493	C₂×C₄⋊C₄	—	2	1	no	—
494	C₂×C₄⋊C₄	—	2	1	no	—
495	C₂×C₄⋊C₄	—	2	1	no	—
496	C₂×C₄⋊C₄	—	2	2	no	—
497	C₂×C₄⋊C₄	—	2	2	no	—
498	C₂×C₄⋊C₄	—	2	1	no	—
499	C₂×C₄⋊C₄	—	2	1	no	—
500	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
501	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
502	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
503	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
504	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
505	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
506	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
507	C₂×C₂²⋊C₄	—	2	1	no	—
508	C₂×C₂²⋊C₄	—	2	1	no	—
509	C₂×C₂²⋊C₄	—	2	1	no	—
510	C₂×C₂²⋊C₄	—	2	1	no	—
511	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
512	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
513	C₂×C₄²	—	2	1	no	—
514	C₂×C₄²	—	2	1	no	—
515	C₂×C₄²	—	2	1	no	—
516	C₂×C₄²	—	2	1	no	—
517	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
518	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
519	#107	—	2	2	no	—
520	#107	—	2	2	no	—
521	#103	—	2	2	no	—
522	#103	—	2	2	no	—
523	#103	—	2	2	no	—
524	#103	—	2	2	no	—
525	#103	C₂×C₄×C₁₉	1	4	yes	complemented
526	#102	—	2	2	no	—
527	#102	—	2	2	no	—
528	#102	C₂×C₄×C₁₉	1	4	yes	complemented
529	C₂²⋊C₈	—	2	2	no	—
530	C₂²⋊C₈	C₂×C₄×C₁₉	1	4	yes	complemented
531	#97	—	2	2	no	—
532	C₄×C₈	—	2	2	no	—
533	#95	—	2	1	no	—
534	#95	—	2	1	no	—
535	#95	—	2	1	no	—
536	#95	—	2	1	no	—
537	#95	—	2	1	no	—
538	C₁₉	#21465	1	1	yes	characteristic, direct product factor, Sylow
539	C₂⁴	—	2	1	no	—
540	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
541	#41	—	2	8	no	—
542	#41	—	2	8	no	—
543	#41	—	2	8	no	—
544	#41	—	2	8	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	—	2	1	no	—
549	C₂×Q₈	—	2	1	no	—
550	C₂×Q₈	—	2	1	no	—
551	C₂×Q₈	—	2	1	no	—
552	C₂×Q₈	—	2	1	no	—
553	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
554	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
555	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
556	C₂×Q₈	#41×C₁₉	1	2	yes	—
557	C₂×D₄	—	2	4	no	—
558	C₂×D₄	—	2	4	no	—
559	C₂×D₄	—	2	4	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
564	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
565	C₂×D₄	#41×C₁₉	1	2	yes	—
566	C₂²×C₄	—	2	4	no	—
567	C₂²×C₄	—	2	4	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	4	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	8	1	no	—
584	C₂²×C₄	—	8	1	no	—
585	C₂²×C₄	—	8	1	no	—
586	C₂²×C₄	—	8	1	no	—
587	C₂²×C₄	—	8	1	no	—
588	C₂²×C₄	—	8	1	no	—
589	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
590	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
592	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
593	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
594	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
595	C₂²×C₄	#41×C₁₉	1	2	yes	—
596	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
597	Q₁₆	—	2	8	no	—
598	SD₁₆	—	2	8	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
610	C₂×C₈	C₂²×C₄×C₁₉	1	2	yes	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	4	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	2	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	2	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	4	2	no	—
625	C₄⋊C₄	—	8	1	no	—
626	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
627	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
628	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	8	1	no	—
635	C₄²	—	2	4	no	—
636	C₄²	—	2	4	no	—
637	C₄²	—	2	1	no	—
638	C₄²	—	2	1	no	—
639	C₄²	—	4	2	no	—
640	C₄²	—	8	1	no	—
641	C₄²	C₂×D₄×C₁₉	1	2	yes	—
642	C₄²	C₂×D₄×C₁₉	1	2	yes	—
643	C₂³	—	2	2	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	2	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	1	no	—
655	C₂³	—	4	1	no	—
656	C₂³	C₄×D₄×C₁₉	1	2	yes	—
657	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
658	Q₈	—	2	2	no	—
659	Q₈	—	2	2	no	—
660	Q₈	—	2	2	no	—
661	Q₈	—	2	2	no	—
662	Q₈	—	2	2	no	—
663	Q₈	—	4	1	no	—
664	Q₈	—	4	1	no	—
665	Q₈	C₄×D₄×C₁₉	1	4	yes	—
666	D₄	—	2	16	no	—
667	D₄	—	2	2	no	—
668	D₄	—	2	2	no	—
669	D₄	—	2	2	no	—
670	D₄	C₄×D₄×C₁₉	1	4	yes	—
671	C₂×C₄	—	2	16	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	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	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	8	4	no	—
710	C₂×C₄	—	8	4	no	—
711	C₂×C₄	—	8	4	no	—
712	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
713	C₂×C₄	C₁₉×#120	1	2	yes	—
714	C₂×C₄	C₁₉×#120	1	2	yes	—
715	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
716	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
717	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
718	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
719	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
720	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
721	C₈	—	2	2	no	—
722	C₈	—	2	2	no	—
723	C₈	—	4	1	no	—
724	C₈	—	4	1	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	4	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	2	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	2	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	2	no	—
739	C₂²	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
740	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
741	C₂²	C₁₉×#525	1	1	yes	characteristic
742	C₂²	C₁₉×#576	1	1	yes	characteristic
743	C₂²	C₁₉×#577	1	1	yes	characteristic
744	C₂²	C₁₉×#578	1	1	yes	characteristic
745	C₂²	C₁₉×#578	1	1	yes	characteristic
746	C₄	—	2	2	no	—
747	C₄	—	2	2	no	—
748	C₄	—	2	2	no	—
749	C₄	—	2	4	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	1	no	—
752	C₄	—	4	1	no	—
753	C₄	—	4	2	no	—
754	C₄	—	4	2	no	—
755	C₄	—	4	2	no	—
756	C₄	—	8	1	no	—
757	C₄	—	8	1	no	—
758	C₄	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
759	C₄	C₂×C₄×D₄×C₁₉	1	1	yes	characteristic
760	C₄	C₁₉×#525	1	1	yes	characteristic
761	C₄	C₁₉×#525	1	1	yes	characteristic
762	C₂	—	4	2	no	—
763	C₂	—	4	4	no	—
764	C₂	C₄×C₁₉×#120	1	1	yes	characteristic
765	C₂	C₁₉×#2947	1	1	yes	characteristic
766	C₂	C₁₉×#2951	1	1	yes	characteristic
767	C₂	C₁₉×#3011	1	1	yes	characteristic
768	C₂	C₁₉×#3012	1	1	yes	characteristic
769	C₂	C₁₉×#3120	1	1	yes	characteristic
770	C₂	C₁₉×#3124	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₁₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₁₉×#440	C₂	semidirect
4. C₂×C₄×Q₁₆×C₁₉	C₂	semidirect
5. C₁₉×#2323	C₂	semidirect
6. C₁₉×#1878	C₂	semidirect
7. C₁₉×#1877	C₂	semidirect
8. C₁₉×#1872	C₂	semidirect
9. C₁₉×#1863	C₂	semidirect
10. C₁₉×#1862	C₂	semidirect
11. C₁₉×#1852	C₂	semidirect
13. C₁₉×#1763	C₂	semidirect
14. C₄×C₁₉×#102	C₂	semidirect
15. C₁₉×#1750	C₂	semidirect
33. C₁₉×#452	C₄	semidirect
81. C₂×Q₁₆×C₁₉	C₂×C₄	semidirect
84. C₂×SD₁₆×C₁₉	C₂×C₄	semidirect
90. C₁₉×C₂²⋊Q₈	C₂×C₄	semidirect
140. C₁₉×#103	C₂×C₄	semidirect
143. C₁₉×#102	C₂×C₄	semidirect
145. C₁₉×C₂²⋊C₈	C₂×C₄	semidirect
257. #21465	C₁₉	direct (N × H)
342. C₂×#440	C₂×C₁₉	semidirect
343. C₂×C₄×Q₁₆	C₂×C₁₉	semidirect
344. #2323	C₂×C₁₉	semidirect
345. #1878	C₂×C₁₉	semidirect
346. #1877	C₂×C₁₉	semidirect
347. #1872	C₂×C₁₉	semidirect
348. #1863	C₂×C₁₉	semidirect
349. #1862	C₂×C₁₉	semidirect
350. #1852	C₂×C₁₉	semidirect
352. #1763	C₂×C₁₉	semidirect
353. C₄×#102	C₂×C₁₉	semidirect
354. #1750	C₂×C₁₉	semidirect
409. #452	C₄×C₁₉	semidirect
466. C₂×Q₁₆	C₂×C₄×C₁₉	semidirect
469. C₂×SD₁₆	C₂×C₄×C₁₉	semidirect
475. C₂²⋊Q₈	C₂×C₄×C₁₉	semidirect
525. #103	C₂×C₄×C₁₉	semidirect
528. #102	C₂×C₄×C₁₉	semidirect
530. C₂²⋊C₈	C₂×C₄×C₁₉	semidirect
538. C₁₉	#21465	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×#520	2
C₂×C₁₉×#452	2
C₂×C₁₉×#440	2
C₂×C₄×Q₁₆×C₁₉	2
C₁₉×#2323	2
C₁₉×#1878	2
C₁₉×#1877	2
C₁₉×#1872	2
C₁₉×#1863	2
C₁₉×#1862	2
C₁₉×#1852	2
C₁₉×#1788	2
C₁₉×#1763	2
C₄×C₁₉×#102	2
C₁₉×#1750	2
#21465	19

Subgroups — C19×#21465 #18027424

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#21465 #18027424