Subgroups — C₁₉×#19012 #18024971

Order 4864.

844 conjugacy classes of subgroups.

The subgroup lattice has 826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3531	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3219	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3180	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1664	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1663	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1661	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1660	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1658	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1657	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1657	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1656	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1535	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1532	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1531	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#564	C₂²	1	1	yes	characteristic
17	C₁₉×#563	—	2	1	no	—
18	C₁₉×#563	—	2	1	no	—
19	C₁₉×#563	—	2	1	no	—
20	C₁₉×#563	—	2	1	no	—
21	C₁₉×#563	C₂²	1	1	yes	characteristic
22	C₁₉×#563	C₂²	1	1	yes	characteristic
23	C₁₉×#562	—	2	1	no	—
24	C₁₉×#562	—	2	1	no	—
25	C₁₉×#562	C₂²	1	1	yes	characteristic
26	C₁₉×#533	—	2	1	no	—
27	C₁₉×#533	—	2	1	no	—
28	C₁₉×#533	C₂²	1	1	yes	characteristic
29	C₁₉×#532	C₂²	1	1	yes	characteristic
30	C₁₉×#529	—	2	1	no	—
31	C₁₉×#529	—	2	1	no	—
32	C₁₉×#529	—	2	1	no	—
33	C₁₉×#529	—	2	1	no	—
34	C₁₉×#529	C₂²	1	1	yes	characteristic
35	C₁₉×#529	C₂²	1	1	yes	characteristic
36	C₁₉×#501	C₂²	1	1	yes	characteristic
37	C₁₉×#501	C₂²	1	1	yes	characteristic
38	C₁₉×#501	C₂²	1	1	yes	characteristic
39	C₁₉×#497	C₂²	1	1	yes	characteristic
40	C₁₉×#496	C₂²	1	1	yes	characteristic
41	C₁₉×#496	C₂²	1	1	yes	characteristic
42	C₁₉×#491	C₂²	1	1	yes	characteristic
43	C₁₉×#490	C₂²	1	1	yes	characteristic
44	C₁₉×#490	C₂²	1	1	yes	characteristic
45	C₁₉×#490	C₂²	1	1	yes	characteristic
46	C₁₉×#490	C₂²	1	1	yes	characteristic
47	C₁₉×#489	C₂²	1	1	yes	characteristic
48	C₁₉×#482	—	2	1	no	—
49	C₁₉×#482	—	2	1	no	—
50	C₁₉×#476	—	2	1	no	—
51	C₁₉×#474	—	2	1	no	—
52	C₁₉×#466	—	2	1	no	—
53	C₁₉×#465	—	2	1	no	—
54	C₁₉×#464	—	2	1	no	—
55	C₁₉×#463	—	2	1	no	—
56	C₁₉×#452	—	2	1	no	—
57	C₁₉×#449	—	2	1	no	—
58	C₁₉×#442	—	2	1	no	—
59	C₁₉×#440	—	2	1	no	—
60	C₁₉×#432	C₂²	1	1	yes	characteristic
61	C₁₉×#432	C₂²	1	1	yes	characteristic
62	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
63	C₁₉×#330	C₂²	1	1	yes	characteristic
64	C₁₉×#330	C₂²	1	1	yes	characteristic
65	C₁₉×#330	C₂²	1	1	yes	characteristic
66	C₁₉×#330	C₂²	1	1	yes	characteristic
67	C₁₉×#330	C₂²	1	1	yes	characteristic
68	C₁₉×#330	C₂²	1	1	yes	characteristic
69	C₁₉×#330	C₂²	1	1	yes	characteristic
70	C₁₉×#330	C₂²	1	1	yes	characteristic
71	C₁₉×#329	C₂²	1	1	yes	characteristic
72	C₁₉×#329	C₂²	1	1	yes	characteristic
73	C₁₉×#329	C₂²	1	1	yes	characteristic
74	C₁₉×#329	C₂²	1	1	yes	characteristic
75	C₂×#41×C₁₉	—	2	1	no	—
76	C₂×Q₁₆×C₁₉	—	2	1	no	—
77	C₂×SD₁₆×C₁₉	—	2	1	no	—
78	C₂×SD₁₆×C₁₉	—	2	1	no	—
79	C₂×SD₁₆×C₁₉	—	2	1	no	—
80	C₂×D₈×C₁₉	—	2	1	no	—
81	C₂×D₈×C₁₉	—	2	1	no	—
82	C₂²×C₈×C₁₉	—	2	1	no	—
83	C₁₉×C₄⋊Q₈	—	2	1	no	—
84	C₁₉×C₄⋊Q₈	—	2	1	no	—
85	C₁₉×C₄⋊Q₈	—	2	1	no	—
86	C₁₉×C₄⋊Q₈	—	2	1	no	—
87	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
88	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
89	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
90	C₁₉×#127	C₂³	1	1	yes	characteristic
91	C₁₉×#126	—	2	1	no	—
92	C₁₉×#126	—	2	1	no	—
93	C₁₉×#126	—	2	1	no	—
94	C₁₉×#126	—	2	1	no	—
95	C₁₉×#126	—	2	1	no	—
96	C₁₉×#126	—	2	1	no	—
97	C₁₉×#126	—	2	1	no	—
98	C₁₉×#126	—	2	1	no	—
99	C₁₉×#126	—	2	1	no	—
100	C₁₉×#126	—	2	1	no	—
101	C₁₉×#125	—	2	1	no	—
102	C₁₉×#125	—	2	1	no	—
103	C₁₉×#125	—	2	1	no	—
104	C₁₉×#125	—	2	1	no	—
105	C₁₉×#125	—	2	1	no	—
106	C₁₉×#125	—	2	1	no	—
107	C₁₉×#125	—	2	1	no	—
108	C₁₉×#125	—	2	1	no	—
109	C₁₉×#125	C₂³	1	1	yes	characteristic
110	C₁₉×#125	C₂³	1	1	yes	characteristic
111	C₁₉×#125	C₂³	1	1	yes	characteristic
112	C₁₉×#125	C₂³	1	1	yes	characteristic
113	C₁₉×#124	—	2	1	no	—
114	C₁₉×#124	—	2	1	no	—
115	C₁₉×#124	—	2	1	no	—
116	C₁₉×#124	—	2	1	no	—
117	C₁₉×#124	—	2	1	no	—
118	C₁₉×#124	C₂³	1	1	yes	characteristic
119	C₁₉×#124	C₂³	1	1	yes	characteristic
120	C₁₉×#123	—	2	1	no	—
121	C₁₉×#123	—	2	1	no	—
122	C₁₉×#123	—	2	1	no	—
123	C₁₉×#123	—	2	1	no	—
124	C₁₉×#123	—	2	1	no	—
125	C₁₉×#123	—	2	1	no	—
126	C₁₉×#123	—	2	1	no	—
127	C₁₉×#123	—	2	1	no	—
128	C₁₉×#123	—	2	1	no	—
129	C₁₉×#123	—	2	1	no	—
130	C₁₉×C₂²⋊Q₈	—	2	1	no	—
131	C₁₉×C₂²⋊Q₈	—	2	1	no	—
132	C₁₉×C₂²⋊Q₈	—	2	1	no	—
133	C₁₉×C₂²⋊Q₈	—	2	1	no	—
134	C₁₉×C₂²⋊Q₈	—	2	1	no	—
135	C₁₉×C₂²⋊Q₈	—	2	1	no	—
136	C₁₉×C₂²⋊Q₈	—	2	1	no	—
137	C₁₉×C₂²⋊Q₈	—	2	1	no	—
138	C₁₉×C₂²⋊Q₈	—	2	1	no	—
139	C₁₉×C₂²⋊Q₈	—	2	1	no	—
140	C₁₉×C₂²⋊Q₈	—	2	1	no	—
141	C₁₉×C₂²⋊Q₈	—	2	1	no	—
142	C₁₉×C₂²⋊Q₈	—	2	1	no	—
143	C₁₉×C₂²⋊Q₈	—	2	1	no	—
144	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
145	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
146	C₁₉×#121	—	2	1	no	—
147	C₁₉×#121	—	2	1	no	—
148	C₁₉×#121	—	2	1	no	—
149	C₁₉×#121	—	2	1	no	—
150	C₁₉×#121	—	2	1	no	—
151	C₁₉×#121	—	2	1	no	—
152	C₁₉×#121	D₄	1	1	yes	characteristic
153	C₁₉×#121	D₄	1	1	yes	characteristic
154	C₄×Q₈×C₁₉	—	2	1	no	—
155	C₄×Q₈×C₁₉	—	2	1	no	—
156	C₄×Q₈×C₁₉	—	2	1	no	—
157	C₄×Q₈×C₁₉	—	2	1	no	—
158	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
159	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
160	C₄×D₄×C₁₉	—	2	1	no	—
161	C₄×D₄×C₁₉	—	2	1	no	—
162	C₄×D₄×C₁₉	—	2	1	no	—
163	C₄×D₄×C₁₉	—	2	1	no	—
164	C₄×D₄×C₁₉	—	2	1	no	—
165	C₄×D₄×C₁₉	—	2	1	no	—
166	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
167	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
168	C₁₉×#117	—	2	1	no	—
169	C₁₉×#117	—	2	1	no	—
170	C₁₉×#117	—	2	1	no	—
171	C₁₉×#117	—	2	1	no	—
172	C₁₉×#117	D₄	1	1	yes	characteristic
173	C₁₉×#117	D₄	1	1	yes	characteristic
174	C₂×C₄²×C₁₉	—	2	1	no	—
175	C₂×C₄²×C₁₉	—	2	1	no	—
176	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
177	C₁₉×#107	—	2	1	no	—
178	C₁₉×#107	—	2	1	no	—
179	C₁₉×#107	—	2	1	no	—
180	C₁₉×#106	—	2	1	no	—
181	C₁₉×#106	—	2	1	no	—
182	C₁₉×#106	—	2	1	no	—
183	C₁₉×C₄⋊C₈	—	2	1	no	—
184	C₁₉×C₄⋊C₈	—	2	1	no	—
185	C₁₉×#103	—	2	1	no	—
186	C₁₉×#103	—	2	1	no	—
187	C₁₉×#103	—	2	1	no	—
188	C₁₉×#102	—	2	1	no	—
189	C₁₉×#102	—	2	1	no	—
190	C₁₉×#102	—	2	1	no	—
191	C₁₉×#102	—	2	1	no	—
192	C₁₉×#102	—	2	1	no	—
193	C₁₉×#102	—	2	1	no	—
194	C₁₉×#102	—	2	1	no	—
195	C₁₉×#102	—	2	1	no	—
196	C₁₉×#102	—	2	1	no	—
197	C₁₉×C₂²⋊C₈	—	2	1	no	—
198	C₁₉×C₂²⋊C₈	—	2	1	no	—
199	C₁₉×#97	—	2	1	no	—
200	C₁₉×#97	C₂³	1	1	yes	characteristic
201	C₁₉×#97	C₂³	1	1	yes	characteristic
202	C₁₉×#97	C₂³	1	1	yes	characteristic
203	C₁₉×#97	C₂³	1	1	yes	characteristic
204	C₁₉×#97	C₂³	1	1	yes	characteristic
205	C₁₉×#97	C₂³	1	1	yes	characteristic
206	#41×C₁₉	—	8	1	no	—
207	#41×C₁₉	—	8	1	no	—
208	C₂×Q₈×C₁₉	—	2	1	no	—
209	C₂×Q₈×C₁₉	—	2	1	no	—
210	C₂×Q₈×C₁₉	—	2	1	no	—
211	C₂×Q₈×C₁₉	—	2	1	no	—
212	C₂×Q₈×C₁₉	—	2	1	no	—
213	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
214	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
215	C₂×D₄×C₁₉	—	2	1	no	—
216	C₂×D₄×C₁₉	—	2	1	no	—
217	C₂×D₄×C₁₉	—	2	1	no	—
218	C₂×D₄×C₁₉	—	2	1	no	—
219	C₂×D₄×C₁₉	—	2	1	no	—
220	C₂×D₄×C₁₉	—	2	1	no	—
221	C₂×D₄×C₁₉	—	2	1	no	—
222	C₂×D₄×C₁₉	—	4	1	no	—
223	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
224	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
225	C₂²×C₄×C₁₉	—	2	1	no	—
226	C₂²×C₄×C₁₉	—	2	1	no	—
227	C₂²×C₄×C₁₉	—	2	1	no	—
228	C₂²×C₄×C₁₉	—	2	1	no	—
229	C₂²×C₄×C₁₉	—	2	1	no	—
230	C₂²×C₄×C₁₉	—	2	1	no	—
231	C₂²×C₄×C₁₉	—	4	1	no	—
232	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
233	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
234	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
235	Q₁₆×C₁₉	—	8	1	no	—
236	SD₁₆×C₁₉	—	4	2	no	—
237	SD₁₆×C₁₉	—	8	1	no	—
238	SD₁₆×C₁₉	—	8	1	no	—
239	D₈×C₁₉	—	4	2	no	—
240	D₈×C₁₉	—	8	1	no	—
241	C₂×C₈×C₁₉	—	2	1	no	—
242	C₂×C₈×C₁₉	—	2	1	no	—
243	C₂×C₈×C₁₉	—	2	1	no	—
244	C₂×C₈×C₁₉	—	2	1	no	—
245	C₂×C₈×C₁₉	—	2	1	no	—
246	C₂×C₈×C₁₉	—	2	1	no	—
247	C₂×C₈×C₁₉	—	4	2	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	—	2	1	no	—
255	C₄⋊C₄×C₁₉	—	2	1	no	—
256	C₄⋊C₄×C₁₉	—	2	1	no	—
257	C₄⋊C₄×C₁₉	—	2	1	no	—
258	C₄⋊C₄×C₁₉	—	2	1	no	—
259	C₄⋊C₄×C₁₉	—	2	1	no	—
260	C₄⋊C₄×C₁₉	—	2	1	no	—
261	C₄⋊C₄×C₁₉	—	2	1	no	—
262	C₄⋊C₄×C₁₉	—	2	1	no	—
263	C₄⋊C₄×C₁₉	—	2	1	no	—
264	C₄⋊C₄×C₁₉	—	2	1	no	—
265	C₄⋊C₄×C₁₉	—	2	1	no	—
266	C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₄⋊C₄×C₁₉	—	2	1	no	—
269	C₄⋊C₄×C₁₉	—	2	1	no	—
270	C₄⋊C₄×C₁₉	—	2	1	no	—
271	C₄⋊C₄×C₁₉	—	2	1	no	—
272	C₄⋊C₄×C₁₉	—	2	1	no	—
273	C₄⋊C₄×C₁₉	—	2	1	no	—
274	C₄⋊C₄×C₁₉	—	2	1	no	—
275	C₄⋊C₄×C₁₉	—	2	1	no	—
276	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
277	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
278	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
279	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
280	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
281	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
282	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
283	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
284	C₂²⋊C₄×C₁₉	—	2	1	no	—
285	C₂²⋊C₄×C₁₉	—	2	1	no	—
286	C₂²⋊C₄×C₁₉	—	2	1	no	—
287	C₂²⋊C₄×C₁₉	—	2	1	no	—
288	C₂²⋊C₄×C₁₉	—	2	1	no	—
289	C₂²⋊C₄×C₁₉	—	2	1	no	—
290	C₂²⋊C₄×C₁₉	—	2	1	no	—
291	C₂²⋊C₄×C₁₉	—	2	1	no	—
292	C₂²⋊C₄×C₁₉	—	2	1	no	—
293	C₂²⋊C₄×C₁₉	—	2	1	no	—
294	C₂²⋊C₄×C₁₉	—	2	1	no	—
295	C₂²⋊C₄×C₁₉	—	2	1	no	—
296	C₂²⋊C₄×C₁₉	—	2	1	no	—
297	C₂²⋊C₄×C₁₉	—	2	1	no	—
298	C₂²⋊C₄×C₁₉	—	2	1	no	—
299	C₂²⋊C₄×C₁₉	—	2	1	no	—
300	C₂²⋊C₄×C₁₉	—	2	1	no	—
301	C₂²⋊C₄×C₁₉	—	2	1	no	—
302	C₂²⋊C₄×C₁₉	—	2	1	no	—
303	C₂²⋊C₄×C₁₉	—	2	1	no	—
304	C₂²⋊C₄×C₁₉	—	4	1	no	—
305	C₂²⋊C₄×C₁₉	—	4	1	no	—
306	C₄²×C₁₉	—	2	1	no	—
307	C₄²×C₁₉	—	2	1	no	—
308	C₄²×C₁₉	—	2	1	no	—
309	C₄²×C₁₉	—	2	1	no	—
310	C₄²×C₁₉	—	2	1	no	—
311	C₄²×C₁₉	—	2	1	no	—
312	C₄²×C₁₉	—	2	1	no	—
313	C₄²×C₁₉	—	2	1	no	—
314	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
315	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
316	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
317	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
318	#19012	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂³×C₁₉	—	2	1	no	—
320	C₂³×C₁₉	—	2	1	no	—
321	C₂³×C₁₉	—	4	1	no	—
322	C₂³×C₁₉	#120	1	1	yes	characteristic
323	Q₈×C₁₉	—	4	1	no	—
324	Q₈×C₁₉	—	4	1	no	—
325	Q₈×C₁₉	—	4	1	no	—
326	Q₈×C₁₉	—	4	1	no	—
327	Q₈×C₁₉	—	8	1	no	—
328	Q₈×C₁₉	—	8	1	no	—
329	Q₈×C₁₉	—	8	1	no	—
330	Q₈×C₁₉	—	8	1	no	—
331	D₄×C₁₉	—	4	1	no	—
332	D₄×C₁₉	—	4	1	no	—
333	D₄×C₁₉	—	4	1	no	—
334	D₄×C₁₉	—	4	1	no	—
335	D₄×C₁₉	—	4	1	no	—
336	D₄×C₁₉	—	4	1	no	—
337	D₄×C₁₉	—	4	2	no	—
338	D₄×C₁₉	—	8	1	no	—
339	D₄×C₁₉	—	8	1	no	—
340	D₄×C₁₉	—	8	1	no	—
341	D₄×C₁₉	—	8	1	no	—
342	D₄×C₁₉	—	8	2	no	—
343	C₂×C₄×C₁₉	—	2	1	no	—
344	C₂×C₄×C₁₉	—	2	1	no	—
345	C₂×C₄×C₁₉	—	2	1	no	—
346	C₂×C₄×C₁₉	—	2	1	no	—
347	C₂×C₄×C₁₉	—	2	1	no	—
348	C₂×C₄×C₁₉	—	2	1	no	—
349	C₂×C₄×C₁₉	—	2	1	no	—
350	C₂×C₄×C₁₉	—	2	1	no	—
351	C₂×C₄×C₁₉	—	2	1	no	—
352	C₂×C₄×C₁₉	—	2	1	no	—
353	C₂×C₄×C₁₉	—	4	1	no	—
354	C₂×C₄×C₁₉	—	4	1	no	—
355	C₂×C₄×C₁₉	—	4	1	no	—
356	C₂×C₄×C₁₉	—	4	2	no	—
357	C₂×C₄×C₁₉	—	4	2	no	—
358	C₂×C₄×C₁₉	—	4	1	no	—
359	C₂×C₄×C₁₉	—	8	2	no	—
360	C₂×C₄×C₁₉	—	8	1	no	—
361	C₂×C₄×C₁₉	—	8	1	no	—
362	C₂×C₄×C₁₉	—	8	1	no	—
363	C₂×C₄×C₁₉	—	8	1	no	—
364	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
365	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
366	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
367	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
368	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
369	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
370	C₈×C₁₉	—	2	2	no	—
371	C₈×C₁₉	—	4	1	no	—
372	C₈×C₁₉	—	4	1	no	—
373	C₈×C₁₉	—	4	1	no	—
374	C₈×C₁₉	—	4	1	no	—
375	C₈×C₁₉	—	4	1	no	—
376	#3531	C₂×C₁₉	1	1	yes	characteristic, complemented
377	#3235	C₂×C₁₉	1	1	yes	characteristic, complemented
378	#3219	C₂×C₁₉	1	1	yes	characteristic, complemented
379	#3180	C₂×C₁₉	1	1	yes	characteristic, complemented
380	#1664	C₂×C₁₉	1	1	yes	characteristic, complemented
381	#1663	C₂×C₁₉	1	1	yes	characteristic, complemented
382	#1661	C₂×C₁₉	1	1	yes	characteristic, complemented
383	#1660	C₂×C₁₉	1	1	yes	characteristic, complemented
384	#1658	C₂×C₁₉	1	1	yes	characteristic, complemented
385	#1657	C₂×C₁₉	1	1	yes	characteristic, complemented
386	#1657	C₂×C₁₉	1	1	yes	characteristic, complemented
387	#1656	C₂×C₁₉	1	1	yes	characteristic, complemented
388	#1535	C₂×C₁₉	1	1	yes	characteristic, complemented
389	#1532	C₂×C₁₉	1	1	yes	characteristic, complemented
390	#1531	C₂×C₁₉	1	1	yes	characteristic, complemented
391	C₂²×C₁₉	—	2	1	no	—
392	C₂²×C₁₉	—	2	1	no	—
393	C₂²×C₁₉	—	2	1	no	—
394	C₂²×C₁₉	—	4	1	no	—
395	C₂²×C₁₉	—	4	1	no	—
396	C₂²×C₁₉	—	4	1	no	—
397	C₂²×C₁₉	—	4	1	no	—
398	C₂²×C₁₉	—	4	1	no	—
399	C₂²×C₁₉	—	4	1	no	—
400	C₂²×C₁₉	—	8	1	no	—
401	C₂²×C₁₉	—	8	1	no	—
402	C₂²×C₁₉	—	8	1	no	—
403	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
404	C₄×C₁₉	—	2	1	no	—
405	C₄×C₁₉	—	2	1	no	—
406	C₄×C₁₉	—	2	1	no	—
407	C₄×C₁₉	—	2	1	no	—
408	C₄×C₁₉	—	2	1	no	—
409	C₄×C₁₉	—	2	1	no	—
410	C₄×C₁₉	—	4	1	no	—
411	C₄×C₁₉	—	4	1	no	—
412	C₄×C₁₉	—	4	1	no	—
413	C₄×C₁₉	—	4	1	no	—
414	C₄×C₁₉	—	4	1	no	—
415	C₄×C₁₉	—	4	1	no	—
416	C₄×C₁₉	—	4	1	no	—
417	C₄×C₁₉	—	4	1	no	—
418	C₄×C₁₉	—	4	1	no	—
419	C₄×C₁₉	—	4	1	no	—
420	C₄×C₁₉	—	8	1	no	—
421	#564	C₂²×C₁₉	1	1	yes	characteristic
422	#563	—	2	1	no	—
423	#563	—	2	1	no	—
424	#563	—	2	1	no	—
425	#563	—	2	1	no	—
426	#563	C₂²×C₁₉	1	1	yes	characteristic
427	#563	C₂²×C₁₉	1	1	yes	characteristic
428	#562	—	2	1	no	—
429	#562	—	2	1	no	—
430	#562	C₂²×C₁₉	1	1	yes	characteristic
431	#533	—	2	1	no	—
432	#533	—	2	1	no	—
433	#533	C₂²×C₁₉	1	1	yes	characteristic
434	#532	C₂²×C₁₉	1	1	yes	characteristic
435	#529	—	2	1	no	—
436	#529	—	2	1	no	—
437	#529	—	2	1	no	—
438	#529	—	2	1	no	—
439	#529	C₂²×C₁₉	1	1	yes	characteristic
440	#529	C₂²×C₁₉	1	1	yes	characteristic
441	#501	C₂²×C₁₉	1	1	yes	characteristic
442	#501	C₂²×C₁₉	1	1	yes	characteristic
443	#501	C₂²×C₁₉	1	1	yes	characteristic
444	#497	C₂²×C₁₉	1	1	yes	characteristic
445	#496	C₂²×C₁₉	1	1	yes	characteristic
446	#496	C₂²×C₁₉	1	1	yes	characteristic
447	#491	C₂²×C₁₉	1	1	yes	characteristic
448	#490	C₂²×C₁₉	1	1	yes	characteristic
449	#490	C₂²×C₁₉	1	1	yes	characteristic
450	#490	C₂²×C₁₉	1	1	yes	characteristic
451	#490	C₂²×C₁₉	1	1	yes	characteristic
452	#489	C₂²×C₁₉	1	1	yes	characteristic
453	#482	—	2	1	no	—
454	#482	—	2	1	no	—
455	#476	—	2	1	no	—
456	#474	—	2	1	no	—
457	#466	—	2	1	no	—
458	#465	—	2	1	no	—
459	#464	—	2	1	no	—
460	#463	—	2	1	no	—
461	#452	—	2	1	no	—
462	#449	—	2	1	no	—
463	#442	—	2	1	no	—
464	#440	—	2	1	no	—
465	#432	C₂²×C₁₉	1	1	yes	characteristic
466	#432	C₂²×C₁₉	1	1	yes	characteristic
467	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
468	#330	C₂²×C₁₉	1	1	yes	characteristic
469	#330	C₂²×C₁₉	1	1	yes	characteristic
470	#330	C₂²×C₁₉	1	1	yes	characteristic
471	#330	C₂²×C₁₉	1	1	yes	characteristic
472	#330	C₂²×C₁₉	1	1	yes	characteristic
473	#330	C₂²×C₁₉	1	1	yes	characteristic
474	#330	C₂²×C₁₉	1	1	yes	characteristic
475	#330	C₂²×C₁₉	1	1	yes	characteristic
476	#329	C₂²×C₁₉	1	1	yes	characteristic
477	#329	C₂²×C₁₉	1	1	yes	characteristic
478	#329	C₂²×C₁₉	1	1	yes	characteristic
479	#329	C₂²×C₁₉	1	1	yes	characteristic
480	C₂×C₁₉	—	4	1	no	—
481	C₂×C₁₉	—	8	1	no	—
482	C₂×C₁₉	—	8	1	no	—
483	C₂×C₁₉	—	16	1	no	—
484	C₂×C₁₉	#3018	1	1	yes	characteristic
485	C₂×C₁₉	#3020	1	1	yes	characteristic
486	C₂×C₁₉	#3021	1	1	yes	characteristic
487	C₂×#41	—	2	1	no	—
488	C₂×Q₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×SD₁₆	—	2	1	no	—
491	C₂×SD₁₆	—	2	1	no	—
492	C₂×D₈	—	2	1	no	—
493	C₂×D₈	—	2	1	no	—
494	C₂²×C₈	—	2	1	no	—
495	C₄⋊Q₈	—	2	1	no	—
496	C₄⋊Q₈	—	2	1	no	—
497	C₄⋊Q₈	—	2	1	no	—
498	C₄⋊Q₈	—	2	1	no	—
499	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
500	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
501	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
502	#127	C₂³×C₁₉	1	1	yes	characteristic
503	#126	—	2	1	no	—
504	#126	—	2	1	no	—
505	#126	—	2	1	no	—
506	#126	—	2	1	no	—
507	#126	—	2	1	no	—
508	#126	—	2	1	no	—
509	#126	—	2	1	no	—
510	#126	—	2	1	no	—
511	#126	—	2	1	no	—
512	#126	—	2	1	no	—
513	#125	—	2	1	no	—
514	#125	—	2	1	no	—
515	#125	—	2	1	no	—
516	#125	—	2	1	no	—
517	#125	—	2	1	no	—
518	#125	—	2	1	no	—
519	#125	—	2	1	no	—
520	#125	—	2	1	no	—
521	#125	C₂³×C₁₉	1	1	yes	characteristic
522	#125	C₂³×C₁₉	1	1	yes	characteristic
523	#125	C₂³×C₁₉	1	1	yes	characteristic
524	#125	C₂³×C₁₉	1	1	yes	characteristic
525	#124	—	2	1	no	—
526	#124	—	2	1	no	—
527	#124	—	2	1	no	—
528	#124	—	2	1	no	—
529	#124	—	2	1	no	—
530	#124	C₂³×C₁₉	1	1	yes	characteristic
531	#124	C₂³×C₁₉	1	1	yes	characteristic
532	#123	—	2	1	no	—
533	#123	—	2	1	no	—
534	#123	—	2	1	no	—
535	#123	—	2	1	no	—
536	#123	—	2	1	no	—
537	#123	—	2	1	no	—
538	#123	—	2	1	no	—
539	#123	—	2	1	no	—
540	#123	—	2	1	no	—
541	#123	—	2	1	no	—
542	C₂²⋊Q₈	—	2	1	no	—
543	C₂²⋊Q₈	—	2	1	no	—
544	C₂²⋊Q₈	—	2	1	no	—
545	C₂²⋊Q₈	—	2	1	no	—
546	C₂²⋊Q₈	—	2	1	no	—
547	C₂²⋊Q₈	—	2	1	no	—
548	C₂²⋊Q₈	—	2	1	no	—
549	C₂²⋊Q₈	—	2	1	no	—
550	C₂²⋊Q₈	—	2	1	no	—
551	C₂²⋊Q₈	—	2	1	no	—
552	C₂²⋊Q₈	—	2	1	no	—
553	C₂²⋊Q₈	—	2	1	no	—
554	C₂²⋊Q₈	—	2	1	no	—
555	C₂²⋊Q₈	—	2	1	no	—
556	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
557	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
558	#121	—	2	1	no	—
559	#121	—	2	1	no	—
560	#121	—	2	1	no	—
561	#121	—	2	1	no	—
562	#121	—	2	1	no	—
563	#121	—	2	1	no	—
564	#121	D₄×C₁₉	1	1	yes	characteristic
565	#121	D₄×C₁₉	1	1	yes	characteristic
566	C₄×Q₈	—	2	1	no	—
567	C₄×Q₈	—	2	1	no	—
568	C₄×Q₈	—	2	1	no	—
569	C₄×Q₈	—	2	1	no	—
570	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
571	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
572	C₄×D₄	—	2	1	no	—
573	C₄×D₄	—	2	1	no	—
574	C₄×D₄	—	2	1	no	—
575	C₄×D₄	—	2	1	no	—
576	C₄×D₄	—	2	1	no	—
577	C₄×D₄	—	2	1	no	—
578	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
579	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
580	#117	—	2	1	no	—
581	#117	—	2	1	no	—
582	#117	—	2	1	no	—
583	#117	—	2	1	no	—
584	#117	D₄×C₁₉	1	1	yes	characteristic
585	#117	D₄×C₁₉	1	1	yes	characteristic
586	C₂×C₄²	—	2	1	no	—
587	C₂×C₄²	—	2	1	no	—
588	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
589	#107	—	2	1	no	—
590	#107	—	2	1	no	—
591	#107	—	2	1	no	—
592	#106	—	2	1	no	—
593	#106	—	2	1	no	—
594	#106	—	2	1	no	—
595	C₄⋊C₈	—	2	1	no	—
596	C₄⋊C₈	—	2	1	no	—
597	#103	—	2	1	no	—
598	#103	—	2	1	no	—
599	#103	—	2	1	no	—
600	#102	—	2	1	no	—
601	#102	—	2	1	no	—
602	#102	—	2	1	no	—
603	#102	—	2	1	no	—
604	#102	—	2	1	no	—
605	#102	—	2	1	no	—
606	#102	—	2	1	no	—
607	#102	—	2	1	no	—
608	#102	—	2	1	no	—
609	C₂²⋊C₈	—	2	1	no	—
610	C₂²⋊C₈	—	2	1	no	—
611	#97	—	2	1	no	—
612	#97	C₂³×C₁₉	1	1	yes	characteristic
613	#97	C₂³×C₁₉	1	1	yes	characteristic
614	#97	C₂³×C₁₉	1	1	yes	characteristic
615	#97	C₂³×C₁₉	1	1	yes	characteristic
616	#97	C₂³×C₁₉	1	1	yes	characteristic
617	#97	C₂³×C₁₉	1	1	yes	characteristic
618	C₁₉	#19012	1	1	yes	characteristic, direct product factor, Sylow
619	#41	—	8	1	no	—
620	#41	—	8	1	no	—
621	C₂×Q₈	—	2	1	no	—
622	C₂×Q₈	—	2	1	no	—
623	C₂×Q₈	—	2	1	no	—
624	C₂×Q₈	—	2	1	no	—
625	C₂×Q₈	—	2	1	no	—
626	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
627	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
628	C₂×D₄	—	2	1	no	—
629	C₂×D₄	—	2	1	no	—
630	C₂×D₄	—	2	1	no	—
631	C₂×D₄	—	2	1	no	—
632	C₂×D₄	—	2	1	no	—
633	C₂×D₄	—	2	1	no	—
634	C₂×D₄	—	2	1	no	—
635	C₂×D₄	—	4	1	no	—
636	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
637	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	1	no	—
644	C₂²×C₄	—	4	1	no	—
645	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
646	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
647	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
648	Q₁₆	—	8	1	no	—
649	SD₁₆	—	4	2	no	—
650	SD₁₆	—	8	1	no	—
651	SD₁₆	—	8	1	no	—
652	D₈	—	4	2	no	—
653	D₈	—	8	1	no	—
654	C₂×C₈	—	2	1	no	—
655	C₂×C₈	—	2	1	no	—
656	C₂×C₈	—	2	1	no	—
657	C₂×C₈	—	2	1	no	—
658	C₂×C₈	—	2	1	no	—
659	C₂×C₈	—	2	1	no	—
660	C₂×C₈	—	4	2	no	—
661	C₄⋊C₄	—	2	1	no	—
662	C₄⋊C₄	—	2	1	no	—
663	C₄⋊C₄	—	2	1	no	—
664	C₄⋊C₄	—	2	1	no	—
665	C₄⋊C₄	—	2	1	no	—
666	C₄⋊C₄	—	2	1	no	—
667	C₄⋊C₄	—	2	1	no	—
668	C₄⋊C₄	—	2	1	no	—
669	C₄⋊C₄	—	2	1	no	—
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	1	no	—
673	C₄⋊C₄	—	2	1	no	—
674	C₄⋊C₄	—	2	1	no	—
675	C₄⋊C₄	—	2	1	no	—
676	C₄⋊C₄	—	2	1	no	—
677	C₄⋊C₄	—	2	1	no	—
678	C₄⋊C₄	—	2	1	no	—
679	C₄⋊C₄	—	2	1	no	—
680	C₄⋊C₄	—	2	1	no	—
681	C₄⋊C₄	—	2	1	no	—
682	C₄⋊C₄	—	2	1	no	—
683	C₄⋊C₄	—	2	1	no	—
684	C₄⋊C₄	—	2	1	no	—
685	C₄⋊C₄	—	2	1	no	—
686	C₄⋊C₄	—	2	1	no	—
687	C₄⋊C₄	—	2	1	no	—
688	C₄⋊C₄	—	2	1	no	—
689	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
690	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
691	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
692	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
693	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
694	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
695	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
696	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
697	C₂²⋊C₄	—	2	1	no	—
698	C₂²⋊C₄	—	2	1	no	—
699	C₂²⋊C₄	—	2	1	no	—
700	C₂²⋊C₄	—	2	1	no	—
701	C₂²⋊C₄	—	2	1	no	—
702	C₂²⋊C₄	—	2	1	no	—
703	C₂²⋊C₄	—	2	1	no	—
704	C₂²⋊C₄	—	2	1	no	—
705	C₂²⋊C₄	—	2	1	no	—
706	C₂²⋊C₄	—	2	1	no	—
707	C₂²⋊C₄	—	2	1	no	—
708	C₂²⋊C₄	—	2	1	no	—
709	C₂²⋊C₄	—	2	1	no	—
710	C₂²⋊C₄	—	2	1	no	—
711	C₂²⋊C₄	—	2	1	no	—
712	C₂²⋊C₄	—	2	1	no	—
713	C₂²⋊C₄	—	2	1	no	—
714	C₂²⋊C₄	—	2	1	no	—
715	C₂²⋊C₄	—	2	1	no	—
716	C₂²⋊C₄	—	2	1	no	—
717	C₂²⋊C₄	—	4	1	no	—
718	C₂²⋊C₄	—	4	1	no	—
719	C₄²	—	2	1	no	—
720	C₄²	—	2	1	no	—
721	C₄²	—	2	1	no	—
722	C₄²	—	2	1	no	—
723	C₄²	—	2	1	no	—
724	C₄²	—	2	1	no	—
725	C₄²	—	2	1	no	—
726	C₄²	—	2	1	no	—
727	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
728	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
729	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
730	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
731	C₂³	—	2	1	no	—
732	C₂³	—	2	1	no	—
733	C₂³	—	4	1	no	—
734	C₂³	C₁₉×#120	1	1	yes	characteristic
735	Q₈	—	4	1	no	—
736	Q₈	—	4	1	no	—
737	Q₈	—	4	1	no	—
738	Q₈	—	4	1	no	—
739	Q₈	—	8	1	no	—
740	Q₈	—	8	1	no	—
741	Q₈	—	8	1	no	—
742	Q₈	—	8	1	no	—
743	D₄	—	4	1	no	—
744	D₄	—	4	1	no	—
745	D₄	—	4	1	no	—
746	D₄	—	4	1	no	—
747	D₄	—	4	1	no	—
748	D₄	—	4	1	no	—
749	D₄	—	4	2	no	—
750	D₄	—	8	1	no	—
751	D₄	—	8	1	no	—
752	D₄	—	8	1	no	—
753	D₄	—	8	1	no	—
754	D₄	—	8	2	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	1	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	1	no	—
765	C₂×C₄	—	4	1	no	—
766	C₂×C₄	—	4	1	no	—
767	C₂×C₄	—	4	1	no	—
768	C₂×C₄	—	4	2	no	—
769	C₂×C₄	—	4	2	no	—
770	C₂×C₄	—	4	1	no	—
771	C₂×C₄	—	8	2	no	—
772	C₂×C₄	—	8	1	no	—
773	C₂×C₄	—	8	1	no	—
774	C₂×C₄	—	8	1	no	—
775	C₂×C₄	—	8	1	no	—
776	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
777	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
778	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
779	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
780	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
781	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
782	C₈	—	2	2	no	—
783	C₈	—	4	1	no	—
784	C₈	—	4	1	no	—
785	C₈	—	4	1	no	—
786	C₈	—	4	1	no	—
787	C₈	—	4	1	no	—
788	C₂²	—	2	1	no	—
789	C₂²	—	2	1	no	—
790	C₂²	—	2	1	no	—
791	C₂²	—	4	1	no	—
792	C₂²	—	4	1	no	—
793	C₂²	—	4	1	no	—
794	C₂²	—	4	1	no	—
795	C₂²	—	4	1	no	—
796	C₂²	—	4	1	no	—
797	C₂²	—	8	1	no	—
798	C₂²	—	8	1	no	—
799	C₂²	—	8	1	no	—
800	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
801	C₄	—	2	1	no	—
802	C₄	—	2	1	no	—
803	C₄	—	2	1	no	—
804	C₄	—	2	1	no	—
805	C₄	—	2	1	no	—
806	C₄	—	2	1	no	—
807	C₄	—	4	1	no	—
808	C₄	—	4	1	no	—
809	C₄	—	4	1	no	—
810	C₄	—	4	1	no	—
811	C₄	—	4	1	no	—
812	C₄	—	4	1	no	—
813	C₄	—	4	1	no	—
814	C₄	—	4	1	no	—
815	C₄	—	4	1	no	—
816	C₄	—	4	1	no	—
817	C₄	—	8	1	no	—
818	C₂	—	4	1	no	—
819	C₂	—	8	1	no	—
820	C₂	—	8	1	no	—
821	C₂	—	16	1	no	—
822	C₂	C₁₉×#3018	1	1	yes	characteristic
823	C₂	C₁₉×#3020	1	1	yes	characteristic
824	C₂	C₁₉×#3021	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×#3531	C₂	semidirect
2. C₁₉×#3235	C₂	semidirect
3. C₁₉×#3219	C₂	semidirect
4. C₁₉×#3180	C₂	semidirect
5. C₁₉×#1664	C₂	semidirect
6. C₁₉×#1663	C₂	semidirect
7. C₁₉×#1661	C₂	semidirect
8. C₁₉×#1660	C₂	semidirect
9. C₁₉×#1658	C₂	semidirect
10. C₁₉×#1657	C₂	semidirect
11. C₁₉×#1657	C₂	semidirect
12. C₁₉×#1656	C₂	semidirect
13. C₁₉×#1535	C₂	semidirect
14. C₁₉×#1532	C₂	semidirect
15. C₁₉×#1531	C₂	semidirect
318. #19012	C₁₉	direct (N × H)
376. #3531	C₂×C₁₉	semidirect
377. #3235	C₂×C₁₉	semidirect
378. #3219	C₂×C₁₉	semidirect
379. #3180	C₂×C₁₉	semidirect
380. #1664	C₂×C₁₉	semidirect
381. #1663	C₂×C₁₉	semidirect
382. #1661	C₂×C₁₉	semidirect
383. #1660	C₂×C₁₉	semidirect
384. #1658	C₂×C₁₉	semidirect
385. #1657	C₂×C₁₉	semidirect
386. #1657	C₂×C₁₉	semidirect
387. #1656	C₂×C₁₉	semidirect
388. #1535	C₂×C₁₉	semidirect
389. #1532	C₂×C₁₉	semidirect
390. #1531	C₂×C₁₉	semidirect
618. C₁₉	#19012	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×#3531	2
C₁₉×#3235	2
C₁₉×#3219	2
C₁₉×#3180	2
C₁₉×#1664	2
C₁₉×#1663	2
C₁₉×#1661	2
C₁₉×#1660	2
C₁₉×#1658	2
C₁₉×#1657	2
C₁₉×#1656	2
C₁₉×#1535	2
C₁₉×#1532	2
C₁₉×#1531	2
#19012	19

Subgroups — C19×#19012 #18024971

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#19012 #18024971