Subgroups — C₁₉×#19039 #18024998

Order 4864.

842 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3568	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3240	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3181	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3172	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1664	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1664	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1664	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1664	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1660	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1660	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1659	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1659	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1532	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1529	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1524	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#563	C₂²	1	1	yes	characteristic
17	C₁₉×#563	C₂²	1	1	yes	characteristic
18	C₁₉×#563	C₂²	1	1	yes	characteristic
19	C₁₉×H(3,𝔽₄)	C₂²	1	1	yes	characteristic
20	C₁₉×#556	—	2	1	no	—
21	C₁₉×#556	—	2	1	no	—
22	C₁₉×#556	—	2	1	no	—
23	C₁₉×#551	—	2	1	no	—
24	C₁₉×#551	—	2	1	no	—
25	C₁₉×#551	—	2	1	no	—
26	C₁₉×#542	—	2	1	no	—
27	C₁₉×#542	—	2	1	no	—
28	C₁₉×#542	—	2	1	no	—
29	C₁₉×#538	—	2	1	no	—
30	C₁₉×#538	—	2	1	no	—
31	C₁₉×#538	—	2	1	no	—
32	C₁₉×#533	C₂²	1	1	yes	characteristic, complemented
33	C₁₉×#529	C₂²	1	1	yes	characteristic
34	C₁₉×#529	C₂²	1	1	yes	characteristic
35	C₁₉×#529	C₂²	1	1	yes	characteristic
36	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#497	C₂²	1	1	yes	characteristic
41	C₁₉×#497	C₂²	1	1	yes	characteristic
42	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#489	C₂²	1	1	yes	characteristic
45	C₁₉×#489	C₂²	1	1	yes	characteristic
46	C₁₉×#489	C₂²	1	1	yes	characteristic
47	C₁₉×#489	C₂²	1	1	yes	characteristic
48	C₁₉×#485	—	2	1	no	—
49	C₁₉×#482	—	2	1	no	—
50	C₁₉×#479	—	2	1	no	—
51	C₁₉×#478	—	2	1	no	—
52	C₁₉×#470	—	2	1	no	—
53	C₁₉×#468	—	2	1	no	—
54	C₁₉×#467	—	2	1	no	—
55	C₁₉×#465	—	2	1	no	—
56	C₁₉×#441	—	2	1	no	—
57	C₁₉×#440	—	2	1	no	—
58	C₄×Q₁₆×C₁₉	—	2	1	no	—
59	C₄×SD₁₆×C₁₉	—	2	1	no	—
60	C₁₉×#432	C₂²	1	1	yes	characteristic, complemented
61	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#330	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×#329	C₂²	1	1	yes	characteristic
70	C₁₉×#329	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×Q₁₆×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×M₁₆×C₁₉	—	2	1	no	—
80	C₂²×C₈×C₁₉	—	2	1	no	—
81	C₁₉×C₄⋊Q₈	—	2	1	no	—
82	C₁₉×C₄⋊Q₈	—	2	1	no	—
83	C₁₉×C₄⋊Q₈	—	2	1	no	—
84	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
85	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
86	C₁₉×#126	—	2	1	no	—
87	C₁₉×#126	—	2	1	no	—
88	C₁₉×#126	—	2	1	no	—
89	C₁₉×#126	—	2	1	no	—
90	C₁₉×#126	—	2	1	no	—
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×#125	—	2	1	no	—
100	C₁₉×#125	C₂³	1	1	yes	characteristic
101	C₁₉×#125	C₂³	1	1	yes	characteristic
102	C₁₉×#125	C₂³	1	1	yes	characteristic
103	C₁₉×#124	—	2	1	no	—
104	C₁₉×#124	—	2	1	no	—
105	C₁₉×#124	—	2	1	no	—
106	C₁₉×#124	—	2	1	no	—
107	C₁₉×#124	—	2	1	no	—
108	C₁₉×#124	—	2	1	no	—
109	C₁₉×#124	—	2	1	no	—
110	C₁₉×#124	—	2	1	no	—
111	C₁₉×#124	—	2	1	no	—
112	C₁₉×#124	C₂³	1	1	yes	characteristic
113	C₁₉×#124	C₂³	1	1	yes	characteristic
114	C₁₉×#124	C₂³	1	1	yes	characteristic
115	C₁₉×#123	—	2	1	no	—
116	C₁₉×#123	—	2	1	no	—
117	C₁₉×#123	—	2	1	no	—
118	C₁₉×#123	—	2	1	no	—
119	C₁₉×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
125	C₁₉×C₂²⋊Q₈	—	2	1	no	—
126	C₁₉×C₂²⋊Q₈	—	2	1	no	—
127	C₁₉×C₂²⋊Q₈	—	2	1	no	—
128	C₁₉×C₂²⋊Q₈	—	2	1	no	—
129	C₁₉×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
136	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
137	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
138	C₁₉×#121	—	2	1	no	—
139	C₁₉×#121	—	2	1	no	—
140	C₁₉×#121	—	2	1	no	—
141	C₁₉×#121	D₄	1	1	yes	characteristic
142	C₁₉×#121	D₄	1	1	yes	characteristic
143	C₁₉×#121	D₄	1	1	yes	characteristic
144	C₁₉×#120	—	2	1	no	—
145	C₁₉×#120	—	2	1	no	—
146	C₁₉×#120	—	2	1	no	—
147	C₁₉×#120	—	2	1	no	—
148	C₄×Q₈×C₁₉	—	2	1	no	—
149	C₄×Q₈×C₁₉	—	2	1	no	—
150	C₄×Q₈×C₁₉	—	2	1	no	—
151	C₄×Q₈×C₁₉	—	2	1	no	—
152	C₄×Q₈×C₁₉	—	2	1	no	—
153	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
154	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
155	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
156	C₄×D₄×C₁₉	—	2	1	no	—
157	C₄×D₄×C₁₉	—	2	1	no	—
158	C₄×D₄×C₁₉	—	2	1	no	—
159	C₄×D₄×C₁₉	—	2	1	no	—
160	C₄×D₄×C₁₉	—	2	1	no	—
161	C₄×D₄×C₁₉	—	2	1	no	—
162	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
163	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
164	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
165	C₁₉×#117	—	2	1	no	—
166	C₁₉×#117	—	2	1	no	—
167	C₁₉×#117	—	2	1	no	—
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	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
173	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
174	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
175	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
176	C₁₉×#107	—	2	1	no	—
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×#106	—	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×#103	—	2	1	no	—
189	C₁₉×#103	—	2	1	no	—
190	C₁₉×#103	—	2	1	no	—
191	C₁₉×#103	—	2	1	no	—
192	C₁₉×#103	—	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×#97	—	2	1	no	—
199	C₁₉×#97	C₂³	1	1	yes	characteristic
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	C₄×C₈×C₁₉	—	2	1	no	—
206	C₂⁴×C₁₉	—	2	1	no	—
207	C₂×Q₈×C₁₉	—	2	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	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
222	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
223	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
231	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
232	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
233	Q₁₆×C₁₉	—	4	2	no	—
234	Q₁₆×C₁₉	—	4	2	no	—
235	SD₁₆×C₁₉	—	4	2	no	—
236	SD₁₆×C₁₉	—	4	2	no	—
237	M₁₆×C₁₉	—	4	2	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	C₂×C₈×C₁₉	—	2	1	no	—
244	C₂×C₈×C₁₉	—	4	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	—	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	—	4	1	no	—
268	C₄⋊C₄×C₁₉	—	4	1	no	—
269	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
270	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
271	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
272	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
273	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
274	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
275	C₂²⋊C₄×C₁₉	—	2	1	no	—
276	C₂²⋊C₄×C₁₉	—	2	1	no	—
277	C₂²⋊C₄×C₁₉	—	2	1	no	—
278	C₂²⋊C₄×C₁₉	—	2	1	no	—
279	C₂²⋊C₄×C₁₉	—	2	1	no	—
280	C₂²⋊C₄×C₁₉	—	2	1	no	—
281	C₂²⋊C₄×C₁₉	—	2	1	no	—
282	C₂²⋊C₄×C₁₉	—	2	1	no	—
283	C₂²⋊C₄×C₁₉	—	2	1	no	—
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	—	4	1	no	—
303	C₄²×C₁₉	—	2	1	no	—
304	C₄²×C₁₉	—	2	1	no	—
305	C₄²×C₁₉	—	2	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	—	4	1	no	—
311	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
312	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
313	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
314	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
315	#19039	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂³×C₁₉	—	2	1	no	—
317	C₂³×C₁₉	—	2	1	no	—
318	C₂³×C₁₉	—	2	1	no	—
319	C₂³×C₁₉	—	8	1	no	—
320	C₂³×C₁₉	—	8	1	no	—
321	C₂³×C₁₉	—	8	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	—	4	1	no	—
328	Q₈×C₁₉	—	4	1	no	—
329	Q₈×C₁₉	—	4	1	no	—
330	Q₈×C₁₉	—	8	1	no	—
331	Q₈×C₁₉	—	8	1	no	—
332	Q₈×C₁₉	—	8	1	no	—
333	D₄×C₁₉	—	4	1	no	—
334	D₄×C₁₉	—	4	1	no	—
335	D₄×C₁₉	—	4	1	no	—
336	D₄×C₁₉	—	8	1	no	—
337	D₄×C₁₉	—	8	1	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	C₂×C₄×C₁₉	—	2	1	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	—	4	1	no	—
352	C₂×C₄×C₁₉	—	4	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	—	8	1	no	—
357	C₂×C₄×C₁₉	—	8	1	no	—
358	C₂×C₄×C₁₉	—	8	1	no	—
359	C₂×C₄×C₁₉	—	8	1	no	—
360	C₂×C₄×C₁₉	—	8	1	no	—
361	C₂×C₄×C₁₉	—	8	1	no	—
362	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
363	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
364	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
365	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
366	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
367	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
368	C₈×C₁₉	—	2	2	no	—
369	C₈×C₁₉	—	2	2	no	—
370	C₈×C₁₉	—	4	1	no	—
371	C₈×C₁₉	—	4	1	no	—
372	C₈×C₁₉	—	4	1	no	—
373	C₈×C₁₉	—	4	1	no	—
374	#3568	C₂×C₁₉	1	1	yes	characteristic
375	#3240	C₂×C₁₉	1	1	yes	characteristic, complemented
376	#3181	C₂×C₁₉	1	1	yes	characteristic, complemented
377	#3172	C₂×C₁₉	1	1	yes	characteristic, complemented
378	#1664	C₂×C₁₉	1	1	yes	characteristic, complemented
379	#1664	C₂×C₁₉	1	1	yes	characteristic, complemented
380	#1664	C₂×C₁₉	1	1	yes	characteristic, complemented
381	#1664	C₂×C₁₉	1	1	yes	characteristic, complemented
382	#1660	C₂×C₁₉	1	1	yes	characteristic, complemented
383	#1660	C₂×C₁₉	1	1	yes	characteristic, complemented
384	#1659	C₂×C₁₉	1	1	yes	characteristic, complemented
385	#1659	C₂×C₁₉	1	1	yes	characteristic, complemented
386	#1532	C₂×C₁₉	1	1	yes	characteristic, complemented
387	#1529	C₂×C₁₉	1	1	yes	characteristic, complemented
388	#1524	C₂×C₁₉	1	1	yes	characteristic, complemented
389	C₂²×C₁₉	—	2	1	no	—
390	C₂²×C₁₉	—	2	1	no	—
391	C₂²×C₁₉	—	2	1	no	—
392	C₂²×C₁₉	—	4	1	no	—
393	C₂²×C₁₉	—	4	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	—	4	1	no	—
401	C₂²×C₁₉	—	16	2	no	—
402	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
403	C₄×C₁₉	—	2	1	no	—
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	—	4	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	—	8	1	no	—
419	C₄×C₁₉	—	8	1	no	—
420	#563	C₂²×C₁₉	1	1	yes	characteristic
421	#563	C₂²×C₁₉	1	1	yes	characteristic
422	#563	C₂²×C₁₉	1	1	yes	characteristic
423	H(3,𝔽₄)	C₂²×C₁₉	1	1	yes	characteristic
424	#556	—	2	1	no	—
425	#556	—	2	1	no	—
426	#556	—	2	1	no	—
427	#551	—	2	1	no	—
428	#551	—	2	1	no	—
429	#551	—	2	1	no	—
430	#542	—	2	1	no	—
431	#542	—	2	1	no	—
432	#542	—	2	1	no	—
433	#538	—	2	1	no	—
434	#538	—	2	1	no	—
435	#538	—	2	1	no	—
436	#533	C₂²×C₁₉	1	1	yes	characteristic, complemented
437	#529	C₂²×C₁₉	1	1	yes	characteristic
438	#529	C₂²×C₁₉	1	1	yes	characteristic
439	#529	C₂²×C₁₉	1	1	yes	characteristic
440	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
441	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
442	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
443	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
444	#497	C₂²×C₁₉	1	1	yes	characteristic
445	#497	C₂²×C₁₉	1	1	yes	characteristic
446	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
447	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
448	#489	C₂²×C₁₉	1	1	yes	characteristic
449	#489	C₂²×C₁₉	1	1	yes	characteristic
450	#489	C₂²×C₁₉	1	1	yes	characteristic
451	#489	C₂²×C₁₉	1	1	yes	characteristic
452	#485	—	2	1	no	—
453	#482	—	2	1	no	—
454	#479	—	2	1	no	—
455	#478	—	2	1	no	—
456	#470	—	2	1	no	—
457	#468	—	2	1	no	—
458	#467	—	2	1	no	—
459	#465	—	2	1	no	—
460	#441	—	2	1	no	—
461	#440	—	2	1	no	—
462	C₄×Q₁₆	—	2	1	no	—
463	C₄×SD₁₆	—	2	1	no	—
464	#432	C₂²×C₁₉	1	1	yes	characteristic, complemented
465	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
466	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic, complemented
467	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
468	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
469	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
470	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
471	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
472	#330	C₂²×C₁₉	1	1	yes	characteristic, complemented
473	#329	C₂²×C₁₉	1	1	yes	characteristic
474	#329	C₂²×C₁₉	1	1	yes	characteristic
475	#329	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	C₂×C₁₉	—	4	1	no	—
480	C₂×C₁₉	—	8	1	no	—
481	C₂×C₁₉	—	8	1	no	—
482	C₂×C₁₉	—	8	1	no	—
483	C₂×C₁₉	#3018	1	1	yes	characteristic
484	C₂×C₁₉	#3018	1	1	yes	characteristic
485	C₂×C₁₉	#3022	1	1	yes	characteristic
486	C₂×Q₁₆	—	2	1	no	—
487	C₂×Q₁₆	—	2	1	no	—
488	C₂×SD₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×M₁₆	—	2	1	no	—
491	C₂²×C₈	—	2	1	no	—
492	C₄⋊Q₈	—	2	1	no	—
493	C₄⋊Q₈	—	2	1	no	—
494	C₄⋊Q₈	—	2	1	no	—
495	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
496	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
497	#126	—	2	1	no	—
498	#126	—	2	1	no	—
499	#126	—	2	1	no	—
500	#126	—	2	1	no	—
501	#126	—	2	1	no	—
502	#126	—	2	1	no	—
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	#125	—	2	1	no	—
511	#125	C₂³×C₁₉	1	1	yes	characteristic
512	#125	C₂³×C₁₉	1	1	yes	characteristic
513	#125	C₂³×C₁₉	1	1	yes	characteristic
514	#124	—	2	1	no	—
515	#124	—	2	1	no	—
516	#124	—	2	1	no	—
517	#124	—	2	1	no	—
518	#124	—	2	1	no	—
519	#124	—	2	1	no	—
520	#124	—	2	1	no	—
521	#124	—	2	1	no	—
522	#124	—	2	1	no	—
523	#124	C₂³×C₁₉	1	1	yes	characteristic
524	#124	C₂³×C₁₉	1	1	yes	characteristic
525	#124	C₂³×C₁₉	1	1	yes	characteristic
526	#123	—	2	1	no	—
527	#123	—	2	1	no	—
528	#123	—	2	1	no	—
529	#123	—	2	1	no	—
530	#123	—	2	1	no	—
531	#123	—	2	1	no	—
532	#123	—	2	1	no	—
533	#123	—	2	1	no	—
534	#123	—	2	1	no	—
535	C₂²⋊Q₈	—	2	1	no	—
536	C₂²⋊Q₈	—	2	1	no	—
537	C₂²⋊Q₈	—	2	1	no	—
538	C₂²⋊Q₈	—	2	1	no	—
539	C₂²⋊Q₈	—	2	1	no	—
540	C₂²⋊Q₈	—	2	1	no	—
541	C₂²⋊Q₈	—	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	D₄×C₁₉	1	1	yes	characteristic
547	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
548	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
549	#121	—	2	1	no	—
550	#121	—	2	1	no	—
551	#121	—	2	1	no	—
552	#121	D₄×C₁₉	1	1	yes	characteristic
553	#121	D₄×C₁₉	1	1	yes	characteristic
554	#121	D₄×C₁₉	1	1	yes	characteristic
555	#120	—	2	1	no	—
556	#120	—	2	1	no	—
557	#120	—	2	1	no	—
558	#120	—	2	1	no	—
559	C₄×Q₈	—	2	1	no	—
560	C₄×Q₈	—	2	1	no	—
561	C₄×Q₈	—	2	1	no	—
562	C₄×Q₈	—	2	1	no	—
563	C₄×Q₈	—	2	1	no	—
564	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
565	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
566	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
567	C₄×D₄	—	2	1	no	—
568	C₄×D₄	—	2	1	no	—
569	C₄×D₄	—	2	1	no	—
570	C₄×D₄	—	2	1	no	—
571	C₄×D₄	—	2	1	no	—
572	C₄×D₄	—	2	1	no	—
573	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
574	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
575	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
576	#117	—	2	1	no	—
577	#117	—	2	1	no	—
578	#117	—	2	1	no	—
579	#117	—	2	1	no	—
580	#117	—	2	1	no	—
581	#117	—	2	1	no	—
582	#117	—	2	1	no	—
583	C₂×C₂²⋊C₄	—	2	1	no	—
584	C₂×C₂²⋊C₄	—	2	1	no	—
585	C₂×C₂²⋊C₄	—	2	1	no	—
586	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
587	#107	—	2	1	no	—
588	#107	—	2	1	no	—
589	#107	—	2	1	no	—
590	#107	—	2	1	no	—
591	#106	—	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	#103	—	2	1	no	—
597	#103	—	2	1	no	—
598	#103	—	2	1	no	—
599	#103	—	2	1	no	—
600	#103	—	2	1	no	—
601	#103	—	2	1	no	—
602	#103	—	2	1	no	—
603	#103	—	2	1	no	—
604	#102	—	2	1	no	—
605	#102	—	2	1	no	—
606	#102	—	2	1	no	—
607	#102	—	2	1	no	—
608	C₂²⋊C₈	—	2	1	no	—
609	#97	—	2	1	no	—
610	#97	C₂³×C₁₉	1	1	yes	characteristic
611	#97	C₂³×C₁₉	1	1	yes	characteristic
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	C₄×C₈	—	2	1	no	—
617	C₁₉	#19039	1	1	yes	characteristic, direct product factor, Sylow
618	C₂⁴	—	2	1	no	—
619	C₂×Q₈	—	2	1	no	—
620	C₂×Q₈	—	2	1	no	—
621	C₂×Q₈	—	2	1	no	—
622	C₂×Q₈	—	2	1	no	—
623	C₂×Q₈	—	2	1	no	—
624	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
625	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
626	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
627	C₂×D₄	—	2	1	no	—
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	C₂×D₄×C₁₉	1	1	yes	characteristic
634	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
635	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
636	C₂²×C₄	—	2	1	no	—
637	C₂²×C₄	—	2	1	no	—
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	C₂×D₄×C₁₉	1	1	yes	characteristic
643	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
644	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
645	Q₁₆	—	4	2	no	—
646	Q₁₆	—	4	2	no	—
647	SD₁₆	—	4	2	no	—
648	SD₁₆	—	4	2	no	—
649	M₁₆	—	4	2	no	—
650	C₂×C₈	—	2	1	no	—
651	C₂×C₈	—	2	1	no	—
652	C₂×C₈	—	2	1	no	—
653	C₂×C₈	—	2	1	no	—
654	C₂×C₈	—	2	1	no	—
655	C₂×C₈	—	2	1	no	—
656	C₂×C₈	—	4	2	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	—	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	—	4	1	no	—
680	C₄⋊C₄	—	4	1	no	—
681	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
682	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
683	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
684	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
685	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
686	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
687	C₂²⋊C₄	—	2	1	no	—
688	C₂²⋊C₄	—	2	1	no	—
689	C₂²⋊C₄	—	2	1	no	—
690	C₂²⋊C₄	—	2	1	no	—
691	C₂²⋊C₄	—	2	1	no	—
692	C₂²⋊C₄	—	2	1	no	—
693	C₂²⋊C₄	—	2	1	no	—
694	C₂²⋊C₄	—	2	1	no	—
695	C₂²⋊C₄	—	2	1	no	—
696	C₂²⋊C₄	—	2	1	no	—
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	—	4	1	no	—
715	C₄²	—	2	1	no	—
716	C₄²	—	2	1	no	—
717	C₄²	—	2	1	no	—
718	C₄²	—	2	1	no	—
719	C₄²	—	2	1	no	—
720	C₄²	—	2	1	no	—
721	C₄²	—	2	1	no	—
722	C₄²	—	4	1	no	—
723	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
724	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
725	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
726	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
727	C₂³	—	2	1	no	—
728	C₂³	—	2	1	no	—
729	C₂³	—	2	1	no	—
730	C₂³	—	8	1	no	—
731	C₂³	—	8	1	no	—
732	C₂³	—	8	1	no	—
733	C₂³	C₁₉×#120	1	1	yes	characteristic
734	Q₈	—	4	1	no	—
735	Q₈	—	4	1	no	—
736	Q₈	—	4	1	no	—
737	Q₈	—	4	1	no	—
738	Q₈	—	4	1	no	—
739	Q₈	—	4	1	no	—
740	Q₈	—	4	1	no	—
741	Q₈	—	8	1	no	—
742	Q₈	—	8	1	no	—
743	Q₈	—	8	1	no	—
744	D₄	—	4	1	no	—
745	D₄	—	4	1	no	—
746	D₄	—	4	1	no	—
747	D₄	—	8	1	no	—
748	D₄	—	8	1	no	—
749	D₄	—	8	1	no	—
750	D₄	—	8	1	no	—
751	D₄	—	8	1	no	—
752	D₄	—	8	1	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	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	—	4	1	no	—
763	C₂×C₄	—	4	1	no	—
764	C₂×C₄	—	4	1	no	—
765	C₂×C₄	—	4	1	no	—
766	C₂×C₄	—	4	1	no	—
767	C₂×C₄	—	8	1	no	—
768	C₂×C₄	—	8	1	no	—
769	C₂×C₄	—	8	1	no	—
770	C₂×C₄	—	8	1	no	—
771	C₂×C₄	—	8	1	no	—
772	C₂×C₄	—	8	1	no	—
773	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
774	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
775	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
776	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
777	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
778	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
779	C₈	—	2	2	no	—
780	C₈	—	2	2	no	—
781	C₈	—	4	1	no	—
782	C₈	—	4	1	no	—
783	C₈	—	4	1	no	—
784	C₈	—	4	1	no	—
785	C₂²	—	2	1	no	—
786	C₂²	—	2	1	no	—
787	C₂²	—	2	1	no	—
788	C₂²	—	4	1	no	—
789	C₂²	—	4	1	no	—
790	C₂²	—	4	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	—	16	2	no	—
798	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
799	C₄	—	2	1	no	—
800	C₄	—	2	1	no	—
801	C₄	—	2	1	no	—
802	C₄	—	2	1	no	—
803	C₄	—	2	1	no	—
804	C₄	—	2	1	no	—
805	C₄	—	4	1	no	—
806	C₄	—	4	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	—	8	1	no	—
815	C₄	—	8	1	no	—
816	C₂	—	4	1	no	—
817	C₂	—	8	1	no	—
818	C₂	—	8	1	no	—
819	C₂	—	8	1	no	—
820	C₂	C₁₉×#3018	1	1	yes	characteristic
821	C₂	C₁₉×#3018	1	1	yes	characteristic
822	C₂	C₁₉×#3022	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
prime radical	C₁₉×#3568	C₂
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
2. C₁₉×#3240	C₂	semidirect
3. C₁₉×#3181	C₂	semidirect
4. C₁₉×#3172	C₂	semidirect
5. C₁₉×#1664	C₂	semidirect
6. C₁₉×#1664	C₂	semidirect
7. C₁₉×#1664	C₂	semidirect
8. C₁₉×#1664	C₂	semidirect
9. C₁₉×#1660	C₂	semidirect
10. C₁₉×#1660	C₂	semidirect
11. C₁₉×#1659	C₂	semidirect
12. C₁₉×#1659	C₂	semidirect
13. C₁₉×#1532	C₂	semidirect
14. C₁₉×#1529	C₂	semidirect
15. C₁₉×#1524	C₂	semidirect
32. C₁₉×#533	C₂²	semidirect
36. C₁₉×#501	C₂²	semidirect
37. C₁₉×#501	C₂²	semidirect
38. C₁₉×#501	C₂²	semidirect
39. C₁₉×#501	C₂²	semidirect
42. C₁₉×#491	C₂²	semidirect
43. C₁₉×#491	C₂²	semidirect
60. C₁₉×#432	C₂²	semidirect
61. C₄×M₁₆×C₁₉	C₂²	semidirect
62. C₂×C₁₉×#97	C₂²	semidirect
63. C₁₉×#330	C₂²	semidirect
64. C₁₉×#330	C₂²	semidirect
65. C₁₉×#330	C₂²	semidirect
66. C₁₉×#330	C₂²	semidirect
67. C₁₉×#330	C₂²	semidirect
68. C₁₉×#330	C₂²	semidirect
315. #19039	C₁₉	direct (N × H)
375. #3240	C₂×C₁₉	semidirect
376. #3181	C₂×C₁₉	semidirect
377. #3172	C₂×C₁₉	semidirect
378. #1664	C₂×C₁₉	semidirect
379. #1664	C₂×C₁₉	semidirect
380. #1664	C₂×C₁₉	semidirect
381. #1664	C₂×C₁₉	semidirect
382. #1660	C₂×C₁₉	semidirect
383. #1660	C₂×C₁₉	semidirect
384. #1659	C₂×C₁₉	semidirect
385. #1659	C₂×C₁₉	semidirect
386. #1532	C₂×C₁₉	semidirect
387. #1529	C₂×C₁₉	semidirect
388. #1524	C₂×C₁₉	semidirect
436. #533	C₂²×C₁₉	semidirect
440. #501	C₂²×C₁₉	semidirect
441. #501	C₂²×C₁₉	semidirect
442. #501	C₂²×C₁₉	semidirect
443. #501	C₂²×C₁₉	semidirect
446. #491	C₂²×C₁₉	semidirect
447. #491	C₂²×C₁₉	semidirect
464. #432	C₂²×C₁₉	semidirect
465. C₄×M₁₆	C₂²×C₁₉	semidirect
466. C₂×#97	C₂²×C₁₉	semidirect
467. #330	C₂²×C₁₉	semidirect
468. #330	C₂²×C₁₉	semidirect
469. #330	C₂²×C₁₉	semidirect
470. #330	C₂²×C₁₉	semidirect
471. #330	C₂²×C₁₉	semidirect
472. #330	C₂²×C₁₉	semidirect
617. C₁₉	#19039	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×#3568	2
C₁₉×#3240	2
C₁₉×#3181	2
C₁₉×#3172	2
C₁₉×#1664	2
C₁₉×#1660	2
C₁₉×#1659	2
C₁₉×#1532	2
C₁₉×#1529	2
C₁₉×#1524	2
#19039	19

Subgroups — C19×#19039 #18024998

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#19039 #18024998