Subgroups — C₁₉×#18810 #18024769

Order 4864.

1042 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3251	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3207	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3036	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1646	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1643	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1642	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1639	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1624	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1622	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1621	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1619	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1560	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1495	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1486	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×AGL(1,ℤ/8)	—	2	1	no	—
17	C₁₉×#555	C₂²	1	1	yes	characteristic
18	C₁₉×#554	C₂²	1	1	yes	characteristic
19	C₁₉×#553	—	2	1	no	—
20	C₁₉×#553	—	2	1	no	—
21	C₁₉×#550	C₂²	1	1	yes	characteristic
22	C₁₉×#546	—	2	2	no	—
23	C₁₉×#546	—	2	1	no	—
24	D₄²×C₁₉	—	2	1	no	—
25	D₄²×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×#540	—	2	1	no	—
27	C₁₉×#538	—	2	2	no	—
28	C₁₉×#532	C₂²	1	1	yes	characteristic
29	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#529	C₂²	1	1	yes	characteristic
31	C₁₉×#525	—	2	1	no	—
32	C₂×C₁₉×#121	—	2	1	no	—
33	C₁₉×#518	—	2	1	no	—
34	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
35	C₁₉×#493	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#492	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#478	—	2	1	no	—
40	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
41	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
42	C₁₉×#469	—	2	1	no	—
43	C₁₉×#468	—	2	1	no	—
44	C₁₉×#463	—	2	2	no	—
45	C₁₉×#463	—	2	1	no	—
46	C₁₉×#463	—	2	1	no	—
47	C₁₉×#463	—	2	1	no	—
48	C₁₉×#461	C₂²	1	1	yes	characteristic
49	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#459	C₂²	1	1	yes	characteristic
52	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#449	—	2	2	no	—
55	C₁₉×#431	C₂²	1	1	yes	characteristic, complemented
56	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
58	C₁₉×#417	—	2	1	no	—
59	C₁₉×#333	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#333	C₂²	1	1	yes	characteristic, complemented
61	C₁₉×#331	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#331	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
66	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
70	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
71	C₂×#41×C₁₉	—	2	1	no	—
72	C₂×#41×C₁₉	—	2	1	no	—
73	C₂×#41×C₁₉	D₄	1	2	yes	—
74	C₂²×D₄×C₁₉	—	2	2	no	—
75	C₂²×D₄×C₁₉	—	2	1	no	—
76	C₂²×D₄×C₁₉	—	2	1	no	—
77	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
78	C₂³×C₄×C₁₉	—	2	1	no	—
79	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
80	C₂×SD₁₆×C₁₉	—	2	1	no	—
81	C₂×SD₁₆×C₁₉	—	2	1	no	—
82	C₂×SD₁₆×C₁₉	—	2	2	no	—
83	C₂×SD₁₆×C₁₉	—	2	1	no	—
84	C₂×D₈×C₁₉	—	2	1	no	—
85	C₂×D₈×C₁₉	—	2	1	no	—
86	C₂×D₈×C₁₉	—	2	2	no	—
87	C₂×D₈×C₁₉	—	2	1	no	—
88	C₂×M₁₆×C₁₉	—	2	1	no	—
89	C₂×M₁₆×C₁₉	—	2	1	no	—
90	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
91	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
92	C₁₉×#127	—	2	1	no	—
93	C₁₉×#127	C₂³	1	1	yes	characteristic
94	C₁₉×#127	C₂³	1	1	yes	characteristic
95	C₁₉×#126	—	2	2	no	—
96	C₁₉×#126	—	2	1	no	—
97	C₁₉×#125	—	2	1	no	—
98	C₁₉×#125	D₄	1	1	yes	characteristic
99	C₁₉×#124	—	2	2	no	—
100	C₁₉×#124	—	2	1	no	—
101	C₁₉×#124	D₄	1	1	yes	characteristic
102	C₁₉×#124	D₄	1	2	yes	—
103	C₁₉×#123	—	2	2	no	—
104	C₁₉×#123	—	2	2	no	—
105	C₁₉×#123	—	2	2	no	—
106	C₁₉×#123	—	2	1	no	—
107	C₁₉×C₂²⋊Q₈	—	2	1	no	—
108	C₁₉×C₂²⋊Q₈	—	2	2	no	—
109	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
110	C₁₉×#121	—	2	2	no	—
111	C₁₉×#121	—	2	2	no	—
112	C₁₉×#121	—	2	2	no	—
113	C₁₉×#121	—	2	2	no	—
114	C₁₉×#121	—	2	1	no	—
115	C₁₉×#121	—	2	2	no	—
116	C₁₉×#121	—	2	1	no	—
117	C₁₉×#121	—	2	1	no	—
118	C₁₉×#121	—	2	1	no	—
119	C₁₉×#121	—	2	1	no	—
120	C₁₉×#121	—	2	1	no	—
121	C₁₉×#121	—	2	1	no	—
122	C₁₉×#121	—	2	1	no	—
123	C₁₉×#121	—	2	1	no	—
124	C₁₉×#121	D₄	1	1	yes	characteristic
125	C₁₉×#120	—	2	2	no	—
126	C₁₉×#120	—	2	2	no	—
127	C₁₉×#120	—	2	2	no	—
128	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
129	C₄×D₄×C₁₉	—	2	2	no	—
130	C₄×D₄×C₁₉	—	2	2	no	—
131	C₄×D₄×C₁₉	—	2	2	no	—
132	C₄×D₄×C₁₉	—	2	1	no	—
133	C₄×D₄×C₁₉	—	2	1	no	—
134	C₄×D₄×C₁₉	—	2	1	no	—
135	C₄×D₄×C₁₉	—	2	1	no	—
136	C₄×D₄×C₁₉	—	2	1	no	—
137	C₄×D₄×C₁₉	—	2	1	no	—
138	C₄×D₄×C₁₉	—	2	1	no	—
139	C₄×D₄×C₁₉	—	2	1	no	—
140	C₄×D₄×C₁₉	—	2	1	no	—
141	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
142	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
143	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
144	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
145	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
146	C₁₉×#117	—	2	1	no	—
147	C₁₉×#117	—	2	1	no	—
148	C₁₉×#117	—	2	1	no	—
149	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
150	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
151	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
152	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
153	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
154	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
155	C₁₉×#107	—	2	1	no	—
156	C₁₉×#106	—	2	1	no	—
157	C₁₉×C₄⋊C₈	—	2	1	no	—
158	C₁₉×C₄⋊C₈	—	2	1	no	—
159	C₁₉×C₄⋊C₈	—	2	1	no	—
160	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
161	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
162	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
163	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
164	C₁₉×#103	—	2	2	no	—
165	C₁₉×#103	—	2	1	no	—
166	C₁₉×#103	—	2	1	no	—
167	C₁₉×#103	—	2	1	no	—
168	C₁₉×#102	—	2	2	no	—
169	C₁₉×#102	—	2	1	no	—
170	C₁₉×#102	—	2	1	no	—
171	C₁₉×#102	—	2	1	no	—
172	C₁₉×#102	—	2	1	no	—
173	C₁₉×#102	—	2	1	no	—
174	C₁₉×C₂²⋊C₈	—	2	1	no	—
175	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
176	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
177	C₂⁴×C₁₉	—	2	2	no	—
178	C₂⁴×C₁₉	—	2	1	no	—
179	#41×C₁₉	—	4	2	no	—
180	#41×C₁₉	—	4	2	no	—
181	#41×C₁₉	—	8	1	no	—
182	#41×C₁₉	—	8	1	no	—
183	#41×C₁₉	—	8	2	no	—
184	C₂×Q₈×C₁₉	—	2	1	no	—
185	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
186	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
187	C₂×D₄×C₁₉	—	2	2	no	—
188	C₂×D₄×C₁₉	—	2	2	no	—
189	C₂×D₄×C₁₉	—	2	2	no	—
190	C₂×D₄×C₁₉	—	2	1	no	—
191	C₂×D₄×C₁₉	—	2	2	no	—
192	C₂×D₄×C₁₉	—	2	2	no	—
193	C₂×D₄×C₁₉	—	2	2	no	—
194	C₂×D₄×C₁₉	—	2	2	no	—
195	C₂×D₄×C₁₉	—	2	1	no	—
196	C₂×D₄×C₁₉	—	2	1	no	—
197	C₂×D₄×C₁₉	—	2	1	no	—
198	C₂×D₄×C₁₉	—	2	1	no	—
199	C₂×D₄×C₁₉	—	2	1	no	—
200	C₂×D₄×C₁₉	—	2	1	no	—
201	C₂×D₄×C₁₉	—	4	1	no	—
202	C₂×D₄×C₁₉	—	4	2	no	—
203	C₂×D₄×C₁₉	—	4	2	no	—
204	C₂×D₄×C₁₉	—	4	1	no	—
205	C₂×D₄×C₁₉	—	8	1	no	—
206	C₂×D₄×C₁₉	—	8	1	no	—
207	C₂×D₄×C₁₉	—	8	4	no	—
208	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
209	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
210	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
211	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
212	C₂²×C₄×C₁₉	—	2	2	no	—
213	C₂²×C₄×C₁₉	—	2	2	no	—
214	C₂²×C₄×C₁₉	—	2	1	no	—
215	C₂²×C₄×C₁₉	—	2	1	no	—
216	C₂²×C₄×C₁₉	—	2	1	no	—
217	C₂²×C₄×C₁₉	—	2	1	no	—
218	C₂²×C₄×C₁₉	—	2	1	no	—
219	C₂²×C₄×C₁₉	—	2	2	no	—
220	C₂²×C₄×C₁₉	—	2	1	no	—
221	C₂²×C₄×C₁₉	—	4	1	no	—
222	C₂²×C₄×C₁₉	—	8	1	no	—
223	C₂²×C₄×C₁₉	—	8	1	no	—
224	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
226	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
227	SD₁₆×C₁₉	—	4	2	no	—
228	SD₁₆×C₁₉	—	4	2	no	—
229	SD₁₆×C₁₉	—	8	1	no	—
230	SD₁₆×C₁₉	—	8	2	no	—
231	D₈×C₁₉	—	4	2	no	—
232	D₈×C₁₉	—	4	2	no	—
233	D₈×C₁₉	—	8	1	no	—
234	D₈×C₁₉	—	8	2	no	—
235	M₁₆×C₁₉	—	4	2	no	—
236	M₁₆×C₁₉	—	8	1	no	—
237	C₂×C₈×C₁₉	—	2	1	no	—
238	C₂×C₈×C₁₉	—	2	1	no	—
239	C₂×C₈×C₁₉	—	2	1	no	—
240	C₂×C₈×C₁₉	—	2	1	no	—
241	C₂×C₈×C₁₉	—	2	1	no	—
242	C₂×C₈×C₁₉	—	2	1	no	—
243	C₄⋊C₄×C₁₉	—	2	2	no	—
244	C₄⋊C₄×C₁₉	—	2	2	no	—
245	C₄⋊C₄×C₁₉	—	2	1	no	—
246	C₄⋊C₄×C₁₉	—	2	1	no	—
247	C₄⋊C₄×C₁₉	—	2	1	no	—
248	C₄⋊C₄×C₁₉	—	2	1	no	—
249	C₄⋊C₄×C₁₉	—	2	1	no	—
250	C₄⋊C₄×C₁₉	—	2	1	no	—
251	C₄⋊C₄×C₁₉	—	2	1	no	—
252	C₄⋊C₄×C₁₉	—	2	1	no	—
253	C₄⋊C₄×C₁₉	—	2	1	no	—
254	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
255	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
256	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
257	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
258	C₂²⋊C₄×C₁₉	—	2	2	no	—
259	C₂²⋊C₄×C₁₉	—	2	2	no	—
260	C₂²⋊C₄×C₁₉	—	2	2	no	—
261	C₂²⋊C₄×C₁₉	—	2	2	no	—
262	C₂²⋊C₄×C₁₉	—	2	2	no	—
263	C₂²⋊C₄×C₁₉	—	2	1	no	—
264	C₂²⋊C₄×C₁₉	—	2	1	no	—
265	C₂²⋊C₄×C₁₉	—	2	1	no	—
266	C₂²⋊C₄×C₁₉	—	2	1	no	—
267	C₂²⋊C₄×C₁₉	—	2	2	no	—
268	C₂²⋊C₄×C₁₉	—	2	1	no	—
269	C₂²⋊C₄×C₁₉	—	2	1	no	—
270	C₂²⋊C₄×C₁₉	—	2	2	no	—
271	C₂²⋊C₄×C₁₉	—	2	1	no	—
272	C₂²⋊C₄×C₁₉	—	2	1	no	—
273	C₂²⋊C₄×C₁₉	—	2	1	no	—
274	C₂²⋊C₄×C₁₉	—	4	1	no	—
275	C₂²⋊C₄×C₁₉	—	4	1	no	—
276	C₄²×C₁₉	—	2	2	no	—
277	C₄²×C₁₉	—	2	1	no	—
278	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
279	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
280	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
281	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
282	#18810	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
283	C₂³×C₁₉	—	2	1	no	—
284	C₂³×C₁₉	—	2	1	no	—
285	C₂³×C₁₉	—	2	1	no	—
286	C₂³×C₁₉	—	2	2	no	—
287	C₂³×C₁₉	—	4	2	no	—
288	C₂³×C₁₉	—	4	2	no	—
289	C₂³×C₁₉	—	4	4	no	—
290	C₂³×C₁₉	—	4	1	no	—
291	C₂³×C₁₉	—	8	1	no	—
292	C₂³×C₁₉	—	8	2	no	—
293	C₂³×C₁₉	—	8	2	no	—
294	C₂³×C₁₉	#120	1	1	yes	characteristic
295	Q₈×C₁₉	—	2	1	no	—
296	Q₈×C₁₉	—	2	1	no	—
297	Q₈×C₁₉	—	4	2	no	—
298	Q₈×C₁₉	—	4	1	no	—
299	Q₈×C₁₉	—	4	1	no	—
300	D₄×C₁₉	—	2	1	no	—
301	D₄×C₁₉	—	2	1	no	—
302	D₄×C₁₉	—	2	1	no	—
303	D₄×C₁₉	—	2	1	no	—
304	D₄×C₁₉	—	2	1	no	—
305	D₄×C₁₉	—	4	2	no	—
306	D₄×C₁₉	—	4	2	no	—
307	D₄×C₁₉	—	4	2	no	—
308	D₄×C₁₉	—	4	4	no	—
309	D₄×C₁₉	—	4	2	no	—
310	D₄×C₁₉	—	4	4	no	—
311	D₄×C₁₉	—	4	1	no	—
312	D₄×C₁₉	—	4	1	no	—
313	D₄×C₁₉	—	4	1	no	—
314	D₄×C₁₉	—	4	1	no	—
315	D₄×C₁₉	—	4	1	no	—
316	D₄×C₁₉	—	4	1	no	—
317	D₄×C₁₉	—	4	1	no	—
318	D₄×C₁₉	—	4	1	no	—
319	D₄×C₁₉	—	8	2	no	—
320	D₄×C₁₉	—	8	2	no	—
321	D₄×C₁₉	—	8	2	no	—
322	D₄×C₁₉	—	8	2	no	—
323	D₄×C₁₉	—	8	2	no	—
324	D₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
325	C₂×C₄×C₁₉	—	2	1	no	—
326	C₂×C₄×C₁₉	—	2	1	no	—
327	C₂×C₄×C₁₉	—	2	1	no	—
328	C₂×C₄×C₁₉	—	2	1	no	—
329	C₂×C₄×C₁₉	—	2	1	no	—
330	C₂×C₄×C₁₉	—	2	1	no	—
331	C₂×C₄×C₁₉	—	2	1	no	—
332	C₂×C₄×C₁₉	—	2	2	no	—
333	C₂×C₄×C₁₉	—	2	1	no	—
334	C₂×C₄×C₁₉	—	2	1	no	—
335	C₂×C₄×C₁₉	—	4	1	no	—
336	C₂×C₄×C₁₉	—	4	1	no	—
337	C₂×C₄×C₁₉	—	4	1	no	—
338	C₂×C₄×C₁₉	—	4	1	no	—
339	C₂×C₄×C₁₉	—	4	1	no	—
340	C₂×C₄×C₁₉	—	4	1	no	—
341	C₂×C₄×C₁₉	—	4	1	no	—
342	C₂×C₄×C₁₉	—	4	1	no	—
343	C₂×C₄×C₁₉	—	8	1	no	—
344	C₂×C₄×C₁₉	—	8	1	no	—
345	C₂×C₄×C₁₉	—	8	2	no	—
346	C₂×C₄×C₁₉	—	8	2	no	—
347	C₂×C₄×C₁₉	—	8	1	no	—
348	C₂×C₄×C₁₉	—	8	2	no	—
349	C₂×C₄×C₁₉	—	8	2	no	—
350	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
351	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
352	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
353	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
354	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
355	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
356	C₈×C₁₉	—	4	1	no	—
357	C₈×C₁₉	—	4	1	no	—
358	C₈×C₁₉	—	4	1	no	—
359	C₈×C₁₉	—	4	1	no	—
360	C₈×C₁₉	—	4	1	no	—
361	C₈×C₁₉	—	4	1	no	—
362	#3519	C₂×C₁₉	1	1	yes	characteristic, complemented
363	#3251	C₂×C₁₉	1	1	yes	characteristic, complemented
364	#3207	C₂×C₁₉	1	1	yes	characteristic, complemented
365	#3036	C₂×C₁₉	1	1	yes	characteristic, complemented
366	#1646	C₂×C₁₉	1	1	yes	characteristic, complemented
367	#1643	C₂×C₁₉	1	1	yes	characteristic, complemented
368	#1642	C₂×C₁₉	1	1	yes	characteristic, complemented
369	#1639	C₂×C₁₉	1	1	yes	characteristic, complemented
370	#1624	C₂×C₁₉	1	1	yes	characteristic, complemented
371	#1622	C₂×C₁₉	1	1	yes	characteristic, complemented
372	#1621	C₂×C₁₉	1	1	yes	characteristic, complemented
373	#1619	C₂×C₁₉	1	1	yes	characteristic, complemented
374	#1560	C₂×C₁₉	1	1	yes	characteristic, complemented
375	#1495	C₂×C₁₉	1	1	yes	characteristic, complemented
376	#1486	C₂×C₁₉	1	1	yes	characteristic, complemented
377	C₂²×C₁₉	—	2	1	no	—
378	C₂²×C₁₉	—	2	2	no	—
379	C₂²×C₁₉	—	2	1	no	—
380	C₂²×C₁₉	—	2	1	no	—
381	C₂²×C₁₉	—	4	1	no	—
382	C₂²×C₁₉	—	4	1	no	—
383	C₂²×C₁₉	—	4	1	no	—
384	C₂²×C₁₉	—	4	1	no	—
385	C₂²×C₁₉	—	4	2	no	—
386	C₂²×C₁₉	—	4	1	no	—
387	C₂²×C₁₉	—	4	2	no	—
388	C₂²×C₁₉	—	4	1	no	—
389	C₂²×C₁₉	—	4	2	no	—
390	C₂²×C₁₉	—	4	1	no	—
391	C₂²×C₁₉	—	4	1	no	—
392	C₂²×C₁₉	—	8	4	no	—
393	C₂²×C₁₉	—	8	1	no	—
394	C₂²×C₁₉	—	8	1	no	—
395	C₂²×C₁₉	—	8	1	no	—
396	C₂²×C₁₉	—	16	4	no	—
397	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
398	C₄×C₁₉	—	2	1	no	—
399	C₄×C₁₉	—	2	1	no	—
400	C₄×C₁₉	—	2	1	no	—
401	C₄×C₁₉	—	2	1	no	—
402	C₄×C₁₉	—	4	1	no	—
403	C₄×C₁₉	—	4	1	no	—
404	C₄×C₁₉	—	4	1	no	—
405	C₄×C₁₉	—	4	1	no	—
406	C₄×C₁₉	—	4	1	no	—
407	C₄×C₁₉	—	4	2	no	—
408	C₄×C₁₉	—	8	1	no	—
409	C₄×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
410	C₄×C₁₉	#575	1	1	yes	characteristic
411	C₄×C₁₉	#576	1	1	yes	characteristic
412	C₄×C₁₉	#577	1	1	yes	characteristic
413	C₂×AGL(1,ℤ/8)	—	2	1	no	—
414	#555	C₂²×C₁₉	1	1	yes	characteristic
415	#554	C₂²×C₁₉	1	1	yes	characteristic
416	#553	—	2	1	no	—
417	#553	—	2	1	no	—
418	#550	C₂²×C₁₉	1	1	yes	characteristic
419	#546	—	2	2	no	—
420	#546	—	2	1	no	—
421	D₄²	—	2	1	no	—
422	D₄²	C₂²×C₁₉	1	1	yes	characteristic
423	#540	—	2	1	no	—
424	#538	—	2	2	no	—
425	#532	C₂²×C₁₉	1	1	yes	characteristic
426	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
427	#529	C₂²×C₁₉	1	1	yes	characteristic
428	#525	—	2	1	no	—
429	C₂×#121	—	2	1	no	—
430	#518	—	2	1	no	—
431	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
432	#493	C₂²×C₁₉	1	1	yes	characteristic, complemented
433	#492	C₂²×C₁₉	1	1	yes	characteristic, complemented
434	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
435	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
436	#478	—	2	1	no	—
437	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
438	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
439	#469	—	2	1	no	—
440	#468	—	2	1	no	—
441	#463	—	2	2	no	—
442	#463	—	2	1	no	—
443	#463	—	2	1	no	—
444	#463	—	2	1	no	—
445	#461	C₂²×C₁₉	1	1	yes	characteristic
446	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
447	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
448	#459	C₂²×C₁₉	1	1	yes	characteristic
449	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
450	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
451	#449	—	2	2	no	—
452	#431	C₂²×C₁₉	1	1	yes	characteristic, complemented
453	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
454	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
455	#417	—	2	1	no	—
456	#333	C₂²×C₁₉	1	1	yes	characteristic, complemented
457	#333	C₂²×C₁₉	1	1	yes	characteristic, complemented
458	#331	C₂²×C₁₉	1	1	yes	characteristic, complemented
459	#331	C₂²×C₁₉	1	1	yes	characteristic, complemented
460	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
461	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
462	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
463	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
464	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
465	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
466	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
467	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
468	C₂×C₁₉	—	4	1	no	—
469	C₂×C₁₉	—	4	2	no	—
470	C₂×C₁₉	—	8	1	no	—
471	C₂×C₁₉	—	8	2	no	—
472	C₂×C₁₉	—	8	1	no	—
473	C₂×C₁₉	—	16	1	no	—
474	C₂×C₁₉	#3006	1	1	yes	characteristic
475	C₂×C₁₉	#3012	1	1	yes	characteristic
476	C₂×C₁₉	#3019	1	1	yes	characteristic
477	C₂×#41	—	2	1	no	—
478	C₂×#41	—	2	1	no	—
479	C₂×#41	D₄×C₁₉	1	2	yes	—
480	C₂²×D₄	—	2	2	no	—
481	C₂²×D₄	—	2	1	no	—
482	C₂²×D₄	—	2	1	no	—
483	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
484	C₂³×C₄	—	2	1	no	—
485	AGL(1,ℤ/8)	—	4	4	no	—
486	C₂×SD₁₆	—	2	1	no	—
487	C₂×SD₁₆	—	2	1	no	—
488	C₂×SD₁₆	—	2	2	no	—
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×D₈	—	2	1	no	—
491	C₂×D₈	—	2	1	no	—
492	C₂×D₈	—	2	2	no	—
493	C₂×D₈	—	2	1	no	—
494	C₂×M₁₆	—	2	1	no	—
495	C₂×M₁₆	—	2	1	no	—
496	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
497	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
498	#127	—	2	1	no	—
499	#127	C₂³×C₁₉	1	1	yes	characteristic
500	#127	C₂³×C₁₉	1	1	yes	characteristic
501	#126	—	2	2	no	—
502	#126	—	2	1	no	—
503	#125	—	2	1	no	—
504	#125	D₄×C₁₉	1	1	yes	characteristic
505	#124	—	2	2	no	—
506	#124	—	2	1	no	—
507	#124	D₄×C₁₉	1	1	yes	characteristic
508	#124	D₄×C₁₉	1	2	yes	—
509	#123	—	2	2	no	—
510	#123	—	2	2	no	—
511	#123	—	2	2	no	—
512	#123	—	2	1	no	—
513	C₂²⋊Q₈	—	2	1	no	—
514	C₂²⋊Q₈	—	2	2	no	—
515	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
516	#121	—	2	2	no	—
517	#121	—	2	2	no	—
518	#121	—	2	2	no	—
519	#121	—	2	2	no	—
520	#121	—	2	1	no	—
521	#121	—	2	2	no	—
522	#121	—	2	1	no	—
523	#121	—	2	1	no	—
524	#121	—	2	1	no	—
525	#121	—	2	1	no	—
526	#121	—	2	1	no	—
527	#121	—	2	1	no	—
528	#121	—	2	1	no	—
529	#121	—	2	1	no	—
530	#121	D₄×C₁₉	1	1	yes	characteristic
531	#120	—	2	2	no	—
532	#120	—	2	2	no	—
533	#120	—	2	2	no	—
534	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
535	C₄×D₄	—	2	2	no	—
536	C₄×D₄	—	2	2	no	—
537	C₄×D₄	—	2	2	no	—
538	C₄×D₄	—	2	1	no	—
539	C₄×D₄	—	2	1	no	—
540	C₄×D₄	—	2	1	no	—
541	C₄×D₄	—	2	1	no	—
542	C₄×D₄	—	2	1	no	—
543	C₄×D₄	—	2	1	no	—
544	C₄×D₄	—	2	1	no	—
545	C₄×D₄	—	2	1	no	—
546	C₄×D₄	—	2	1	no	—
547	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
548	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
549	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
550	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
551	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
552	#117	—	2	1	no	—
553	#117	—	2	1	no	—
554	#117	—	2	1	no	—
555	C₂×C₄⋊C₄	—	2	1	no	—
556	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
557	C₂×C₂²⋊C₄	—	2	2	no	—
558	C₂×C₂²⋊C₄	—	2	2	no	—
559	C₂×C₂²⋊C₄	—	2	1	no	—
560	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
561	#107	—	2	1	no	—
562	#106	—	2	1	no	—
563	C₄⋊C₈	—	2	1	no	—
564	C₄⋊C₈	—	2	1	no	—
565	C₄⋊C₈	—	2	1	no	—
566	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
567	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
568	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
569	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
570	#103	—	2	2	no	—
571	#103	—	2	1	no	—
572	#103	—	2	1	no	—
573	#103	—	2	1	no	—
574	#102	—	2	2	no	—
575	#102	—	2	1	no	—
576	#102	—	2	1	no	—
577	#102	—	2	1	no	—
578	#102	—	2	1	no	—
579	#102	—	2	1	no	—
580	C₂²⋊C₈	—	2	1	no	—
581	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
582	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
583	C₁₉	#18810	1	1	yes	characteristic, direct product factor, Sylow
584	C₂⁴	—	2	2	no	—
585	C₂⁴	—	2	1	no	—
586	#41	—	4	2	no	—
587	#41	—	4	2	no	—
588	#41	—	8	1	no	—
589	#41	—	8	1	no	—
590	#41	—	8	2	no	—
591	C₂×Q₈	—	2	1	no	—
592	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
593	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	—	2	2	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	—	2	2	no	—
599	C₂×D₄	—	2	2	no	—
600	C₂×D₄	—	2	2	no	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	2	1	no	—
603	C₂×D₄	—	2	1	no	—
604	C₂×D₄	—	2	1	no	—
605	C₂×D₄	—	2	1	no	—
606	C₂×D₄	—	2	1	no	—
607	C₂×D₄	—	2	1	no	—
608	C₂×D₄	—	4	1	no	—
609	C₂×D₄	—	4	2	no	—
610	C₂×D₄	—	4	2	no	—
611	C₂×D₄	—	4	1	no	—
612	C₂×D₄	—	8	1	no	—
613	C₂×D₄	—	8	1	no	—
614	C₂×D₄	—	8	4	no	—
615	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
616	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
617	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
618	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	2	1	no	—
622	C₂²×C₄	—	2	1	no	—
623	C₂²×C₄	—	2	1	no	—
624	C₂²×C₄	—	2	1	no	—
625	C₂²×C₄	—	2	1	no	—
626	C₂²×C₄	—	2	2	no	—
627	C₂²×C₄	—	2	1	no	—
628	C₂²×C₄	—	4	1	no	—
629	C₂²×C₄	—	8	1	no	—
630	C₂²×C₄	—	8	1	no	—
631	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
632	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
633	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
634	SD₁₆	—	4	2	no	—
635	SD₁₆	—	4	2	no	—
636	SD₁₆	—	8	1	no	—
637	SD₁₆	—	8	2	no	—
638	D₈	—	4	2	no	—
639	D₈	—	4	2	no	—
640	D₈	—	8	1	no	—
641	D₈	—	8	2	no	—
642	M₁₆	—	4	2	no	—
643	M₁₆	—	8	1	no	—
644	C₂×C₈	—	2	1	no	—
645	C₂×C₈	—	2	1	no	—
646	C₂×C₈	—	2	1	no	—
647	C₂×C₈	—	2	1	no	—
648	C₂×C₈	—	2	1	no	—
649	C₂×C₈	—	2	1	no	—
650	C₄⋊C₄	—	2	2	no	—
651	C₄⋊C₄	—	2	2	no	—
652	C₄⋊C₄	—	2	1	no	—
653	C₄⋊C₄	—	2	1	no	—
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	2	1	no	—
658	C₄⋊C₄	—	2	1	no	—
659	C₄⋊C₄	—	2	1	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
662	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
663	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
664	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
665	C₂²⋊C₄	—	2	2	no	—
666	C₂²⋊C₄	—	2	2	no	—
667	C₂²⋊C₄	—	2	2	no	—
668	C₂²⋊C₄	—	2	2	no	—
669	C₂²⋊C₄	—	2	2	no	—
670	C₂²⋊C₄	—	2	1	no	—
671	C₂²⋊C₄	—	2	1	no	—
672	C₂²⋊C₄	—	2	1	no	—
673	C₂²⋊C₄	—	2	1	no	—
674	C₂²⋊C₄	—	2	2	no	—
675	C₂²⋊C₄	—	2	1	no	—
676	C₂²⋊C₄	—	2	1	no	—
677	C₂²⋊C₄	—	2	2	no	—
678	C₂²⋊C₄	—	2	1	no	—
679	C₂²⋊C₄	—	2	1	no	—
680	C₂²⋊C₄	—	2	1	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₄²	—	2	2	no	—
684	C₄²	—	2	1	no	—
685	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
686	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
687	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
688	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
689	C₂³	—	2	1	no	—
690	C₂³	—	2	1	no	—
691	C₂³	—	2	1	no	—
692	C₂³	—	2	2	no	—
693	C₂³	—	4	2	no	—
694	C₂³	—	4	2	no	—
695	C₂³	—	4	4	no	—
696	C₂³	—	4	1	no	—
697	C₂³	—	8	1	no	—
698	C₂³	—	8	2	no	—
699	C₂³	—	8	2	no	—
700	C₂³	C₁₉×#120	1	1	yes	characteristic
701	Q₈	—	2	1	no	—
702	Q₈	—	2	1	no	—
703	Q₈	—	4	2	no	—
704	Q₈	—	4	1	no	—
705	Q₈	—	4	1	no	—
706	D₄	—	2	1	no	—
707	D₄	—	2	1	no	—
708	D₄	—	2	1	no	—
709	D₄	—	2	1	no	—
710	D₄	—	2	1	no	—
711	D₄	—	4	2	no	—
712	D₄	—	4	2	no	—
713	D₄	—	4	2	no	—
714	D₄	—	4	4	no	—
715	D₄	—	4	2	no	—
716	D₄	—	4	4	no	—
717	D₄	—	4	1	no	—
718	D₄	—	4	1	no	—
719	D₄	—	4	1	no	—
720	D₄	—	4	1	no	—
721	D₄	—	4	1	no	—
722	D₄	—	4	1	no	—
723	D₄	—	4	1	no	—
724	D₄	—	4	1	no	—
725	D₄	—	8	2	no	—
726	D₄	—	8	2	no	—
727	D₄	—	8	2	no	—
728	D₄	—	8	2	no	—
729	D₄	—	8	2	no	—
730	D₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	1	no	—
738	C₂×C₄	—	2	2	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	4	1	no	—
742	C₂×C₄	—	4	1	no	—
743	C₂×C₄	—	4	1	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	4	1	no	—
746	C₂×C₄	—	4	1	no	—
747	C₂×C₄	—	4	1	no	—
748	C₂×C₄	—	4	1	no	—
749	C₂×C₄	—	8	1	no	—
750	C₂×C₄	—	8	1	no	—
751	C₂×C₄	—	8	2	no	—
752	C₂×C₄	—	8	2	no	—
753	C₂×C₄	—	8	1	no	—
754	C₂×C₄	—	8	2	no	—
755	C₂×C₄	—	8	2	no	—
756	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
757	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
758	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
759	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
760	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
761	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
762	C₈	—	4	1	no	—
763	C₈	—	4	1	no	—
764	C₈	—	4	1	no	—
765	C₈	—	4	1	no	—
766	C₈	—	4	1	no	—
767	C₈	—	4	1	no	—
768	C₂²	—	2	1	no	—
769	C₂²	—	2	2	no	—
770	C₂²	—	2	1	no	—
771	C₂²	—	2	1	no	—
772	C₂²	—	4	1	no	—
773	C₂²	—	4	1	no	—
774	C₂²	—	4	1	no	—
775	C₂²	—	4	1	no	—
776	C₂²	—	4	2	no	—
777	C₂²	—	4	1	no	—
778	C₂²	—	4	2	no	—
779	C₂²	—	4	1	no	—
780	C₂²	—	4	2	no	—
781	C₂²	—	4	1	no	—
782	C₂²	—	4	1	no	—
783	C₂²	—	8	4	no	—
784	C₂²	—	8	1	no	—
785	C₂²	—	8	1	no	—
786	C₂²	—	8	1	no	—
787	C₂²	—	16	4	no	—
788	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
789	C₄	—	2	1	no	—
790	C₄	—	2	1	no	—
791	C₄	—	2	1	no	—
792	C₄	—	2	1	no	—
793	C₄	—	4	1	no	—
794	C₄	—	4	1	no	—
795	C₄	—	4	1	no	—
796	C₄	—	4	1	no	—
797	C₄	—	4	1	no	—
798	C₄	—	4	2	no	—
799	C₄	—	8	1	no	—
800	C₄	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
801	C₄	C₁₉×#575	1	1	yes	characteristic
802	C₄	C₁₉×#576	1	1	yes	characteristic
803	C₄	C₁₉×#577	1	1	yes	characteristic
804	C₂	—	4	1	no	—
805	C₂	—	4	2	no	—
806	C₂	—	8	1	no	—
807	C₂	—	8	1	no	—
808	C₂	—	8	2	no	—
809	C₂	—	16	1	no	—
810	C₂	C₁₉×#3006	1	1	yes	characteristic
811	C₂	C₁₉×#3012	1	1	yes	characteristic
812	C₂	C₁₉×#3019	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
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
1. C₁₉×#3519	C₂	semidirect
2. C₁₉×#3251	C₂	semidirect
3. C₁₉×#3207	C₂	semidirect
4. C₁₉×#3036	C₂	semidirect
5. C₁₉×#1646	C₂	semidirect
6. C₁₉×#1643	C₂	semidirect
7. C₁₉×#1642	C₂	semidirect
8. C₁₉×#1639	C₂	semidirect
9. C₁₉×#1624	C₂	semidirect
10. C₁₉×#1622	C₂	semidirect
11. C₁₉×#1621	C₂	semidirect
12. C₁₉×#1619	C₂	semidirect
13. C₁₉×#1560	C₂	semidirect
14. C₁₉×#1495	C₂	semidirect
15. C₁₉×#1486	C₂	semidirect
29. C₁₉×#532	C₂²	semidirect
35. C₁₉×#493	C₂²	semidirect
36. C₁₉×#492	C₂²	semidirect
37. C₁₉×#487	C₂²	semidirect
38. C₁₉×#486	C₂²	semidirect
40. C₁₉×#475	C₂²	semidirect
41. C₁₉×#474	C₂²	semidirect
49. C₁₉×#461	C₂²	semidirect
50. C₁₉×#460	C₂²	semidirect
52. C₁₉×#459	C₂²	semidirect
53. C₁₉×#459	C₂²	semidirect
55. C₁₉×#431	C₂²	semidirect
56. C₁₉×#423	C₂²	semidirect
57. C₁₉×#423	C₂²	semidirect
59. C₁₉×#333	C₂²	semidirect
60. C₁₉×#333	C₂²	semidirect
61. C₁₉×#331	C₂²	semidirect
62. C₁₉×#331	C₂²	semidirect
63. C₁₉×Q₈⋊C₈	C₂²	semidirect
64. C₁₉×Q₈⋊C₈	C₂²	semidirect
67. C₁₉×D₄⋊C₈	C₂²	semidirect
68. C₁₉×D₄⋊C₈	C₂²	semidirect
69. C₁₉×D₄⋊C₈	C₂²	semidirect
70. C₁₉×D₄⋊C₈	C₂²	semidirect
282. #18810	C₁₉	direct (N × H)
362. #3519	C₂×C₁₉	semidirect
363. #3251	C₂×C₁₉	semidirect
364. #3207	C₂×C₁₉	semidirect
365. #3036	C₂×C₁₉	semidirect
366. #1646	C₂×C₁₉	semidirect
367. #1643	C₂×C₁₉	semidirect
368. #1642	C₂×C₁₉	semidirect
369. #1639	C₂×C₁₉	semidirect
370. #1624	C₂×C₁₉	semidirect
371. #1622	C₂×C₁₉	semidirect
372. #1621	C₂×C₁₉	semidirect
373. #1619	C₂×C₁₉	semidirect
374. #1560	C₂×C₁₉	semidirect
375. #1495	C₂×C₁₉	semidirect
376. #1486	C₂×C₁₉	semidirect
426. #532	C₂²×C₁₉	semidirect
432. #493	C₂²×C₁₉	semidirect
433. #492	C₂²×C₁₉	semidirect
434. #487	C₂²×C₁₉	semidirect
435. #486	C₂²×C₁₉	semidirect
437. #475	C₂²×C₁₉	semidirect
438. #474	C₂²×C₁₉	semidirect
446. #461	C₂²×C₁₉	semidirect
447. #460	C₂²×C₁₉	semidirect
449. #459	C₂²×C₁₉	semidirect
450. #459	C₂²×C₁₉	semidirect
452. #431	C₂²×C₁₉	semidirect
453. #423	C₂²×C₁₉	semidirect
454. #423	C₂²×C₁₉	semidirect
456. #333	C₂²×C₁₉	semidirect
457. #333	C₂²×C₁₉	semidirect
458. #331	C₂²×C₁₉	semidirect
459. #331	C₂²×C₁₉	semidirect
460. Q₈⋊C₈	C₂²×C₁₉	semidirect
461. Q₈⋊C₈	C₂²×C₁₉	semidirect
464. D₄⋊C₈	C₂²×C₁₉	semidirect
465. D₄⋊C₈	C₂²×C₁₉	semidirect
466. D₄⋊C₈	C₂²×C₁₉	semidirect
467. D₄⋊C₈	C₂²×C₁₉	semidirect
583. C₁₉	#18810	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×#3519	2
C₁₉×#3251	2
C₁₉×#3207	2
C₁₉×#3036	2
C₁₉×#1646	2
C₁₉×#1643	2
C₁₉×#1642	2
C₁₉×#1639	2
C₁₉×#1624	2
C₁₉×#1622	2
C₁₉×#1621	2
C₁₉×#1619	2
C₁₉×#1560	2
C₁₉×#1495	2
C₁₉×#1486	2
#18810	19

Subgroups — C19×#18810 #18024769

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#18810 #18024769