Subgroups — C₁₉×#62263 #18068222

Order 4864.

1982 conjugacy classes of subgroups.

The subgroup lattice has 720 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	2	yes	maximal, complemented
2	C₁₉×#3357	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3355	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3333	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3325	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3322	C₂	1	4	yes	maximal, complemented
7	C₁₉×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3247	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3191	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3186	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3169	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3055	C₂	1	4	yes	maximal, complemented
15	C₂×C₁₉×#436	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
17	C₂²×M₁₆×C₁₉	C₂²	1	2	yes	complemented
18	C₁₉×#555	C₂²	1	2	yes	—
19	C₁₉×#554	C₂²	1	2	yes	complemented
20	C₁₉×#553	—	2	2	no	—
21	C₁₉×#553	C₂²	1	4	yes	complemented
22	C₁₉×#550	C₂²	1	2	yes	—
23	C₁₉×#546	—	2	4	no	—
24	C₁₉×#546	C₂²	1	4	yes	complemented
25	D₄²×C₁₉	—	2	2	no	—
26	D₄²×C₁₉	C₂²	1	2	yes	complemented
27	C₁₉×#540	—	2	2	no	—
28	C₁₉×#538	—	2	4	no	—
29	C₁₉×#532	C₂²	1	2	yes	complemented
30	C₁₉×#529	C₂²	1	2	yes	complemented
31	C₁₉×#525	C₂²	1	4	yes	complemented
32	C₂×C₁₉×#121	C₂²	1	4	yes	complemented
33	C₁₉×#518	—	2	2	no	—
34	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
35	C₁₉×#500	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#493	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#488	C₂²	1	2	yes	complemented
40	C₁₉×#486	C₂²	1	2	yes	complemented
41	C₁₉×#485	C₂²	1	4	yes	complemented
42	C₁₉×#482	C₂²	1	4	yes	complemented
43	C₁₉×#480	C₂²	1	4	yes	complemented
44	C₁₉×#480	C₂²	1	4	yes	complemented
45	C₁₉×#478	C₂²	1	4	yes	complemented
46	C₁₉×#477	C₂²	1	2	yes	complemented
47	C₁₉×#476	C₂²	1	2	yes	complemented
48	C₁₉×#469	C₂²	1	4	yes	complemented
49	C₁₉×#469	C₂²	1	4	yes	complemented
50	C₁₉×#468	C₂²	1	4	yes	complemented
51	C₁₉×#468	C₂²	1	4	yes	complemented
52	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#466	C₂²	1	1	yes	characteristic
54	C₁₉×#466	C₂²	1	2	yes	complemented
55	C₁₉×#466	C₂²	1	2	yes	complemented
56	C₁₉×#466	C₂²	1	4	yes	complemented
57	C₁₉×#465	C₂²	1	2	yes	complemented
58	C₁₉×#465	C₂²	1	4	yes	complemented
59	C₁₉×#463	C₂²	1	4	yes	complemented
60	C₁₉×#460	C₂²	1	2	yes	complemented
61	C₁₉×#459	C₂²	1	2	yes	complemented
62	C₁₉×#452	C₂²	1	4	yes	complemented
63	C₁₉×#449	C₂²	1	4	yes	complemented
64	C₁₉×#447	C₂²	1	4	yes	complemented
65	C₁₉×#447	C₂²	1	4	yes	complemented
66	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
67	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
68	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
70	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
71	C₁₉×#436	C₂²	1	2	yes	complemented
72	C₁₉×#436	C₂²	1	2	yes	complemented
73	C₁₉×#436	C₂²	1	2	yes	complemented
74	C₁₉×#436	C₂²	1	2	yes	complemented
75	C₁₉×#428	C₂²	1	4	yes	complemented
76	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#418	C₂²	1	4	yes	complemented
78	C₁₉×#417	C₂²	1	4	yes	complemented
79	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	complemented
80	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
81	C₂×#41×C₁₉	—	2	2	no	—
82	C₂×#41×C₁₉	C₂³	1	4	yes	—
83	C₂²×D₄×C₁₉	—	2	4	no	—
84	C₂²×D₄×C₁₉	—	2	2	no	—
85	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
86	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
87	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
88	C₁₉×AGL(1,ℤ/8)	—	4	8	no	—
89	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
90	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
91	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
92	C₂×D₈×C₁₉	C₂³	1	2	yes	—
93	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
94	C₂×D₈×C₁₉	C₂³	1	2	yes	—
95	C₂×D₈×C₁₉	C₂³	1	4	yes	—
96	C₂×M₁₆×C₁₉	—	4	4	no	—
97	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
98	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
99	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
101	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
102	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
103	C₁₉×#127	—	2	2	no	—
104	C₁₉×#127	C₂³	1	2	yes	—
105	C₁₉×#126	—	2	4	no	—
106	C₁₉×#126	—	2	2	no	—
107	C₁₉×#125	—	2	2	no	—
108	C₁₉×#125	C₂³	1	2	yes	—
109	C₁₉×#124	—	2	4	no	—
110	C₁₉×#124	—	2	2	no	—
111	C₁₉×#124	C₂³	1	2	yes	—
112	C₁₉×#123	—	2	4	no	—
113	C₁₉×#123	—	2	2	no	—
114	C₁₉×#123	—	2	4	no	—
115	C₁₉×#123	—	2	4	no	—
116	C₁₉×C₂²⋊Q₈	—	2	4	no	—
117	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
118	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
119	C₁₉×#121	—	2	4	no	—
120	C₁₉×#121	—	2	2	no	—
121	C₁₉×#121	—	2	4	no	—
122	C₁₉×#121	—	2	4	no	—
123	C₁₉×#121	—	2	2	no	—
124	C₁₉×#121	—	2	2	no	—
125	C₁₉×#121	—	2	4	no	—
126	C₁₉×#121	—	2	4	no	—
127	C₁₉×#121	C₂³	1	4	yes	—
128	C₁₉×#121	C₂³	1	4	yes	—
129	C₁₉×#121	C₂³	1	4	yes	—
130	C₁₉×#121	C₂³	1	2	yes	—
131	C₁₉×#121	C₂³	1	4	yes	—
132	C₁₉×#120	—	2	4	no	—
133	C₁₉×#120	—	2	4	no	—
134	C₁₉×#120	—	2	4	no	—
135	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
136	C₄×D₄×C₁₉	—	2	2	no	—
137	C₄×D₄×C₁₉	—	2	4	no	—
138	C₄×D₄×C₁₉	—	2	4	no	—
139	C₄×D₄×C₁₉	—	2	2	no	—
140	C₄×D₄×C₁₉	—	2	2	no	—
141	C₄×D₄×C₁₉	—	2	4	no	—
142	C₄×D₄×C₁₉	—	2	2	no	—
143	C₄×D₄×C₁₉	D₄	1	2	yes	—
144	C₄×D₄×C₁₉	D₄	1	2	yes	—
145	C₄×D₄×C₁₉	C₂³	1	4	yes	—
146	C₄×D₄×C₁₉	C₂³	1	2	yes	—
147	C₄×D₄×C₁₉	C₂³	1	2	yes	—
148	C₄×D₄×C₁₉	C₂³	1	2	yes	—
149	C₁₉×#117	—	2	2	no	—
150	C₁₉×#117	—	2	2	no	—
151	C₁₉×#117	C₂³	1	4	yes	—
152	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
154	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
155	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
156	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
157	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
158	C₁₉×#107	C₂³	1	2	yes	—
159	C₁₉×#107	C₂³	1	4	yes	—
160	C₁₉×#107	C₂³	1	2	yes	—
161	C₁₉×#107	C₂³	1	1	yes	characteristic
162	C₁₉×#107	C₂³	1	1	yes	characteristic
163	C₁₉×#106	C₂³	1	2	yes	—
164	C₁₉×#106	C₂³	1	4	yes	—
165	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
166	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
167	C₁₉×#103	C₂³	1	2	yes	—
168	C₁₉×#103	C₂³	1	4	yes	—
169	C₁₉×#103	C₂³	1	2	yes	—
170	C₁₉×#102	C₂³	1	4	yes	—
171	C₁₉×#102	C₂³	1	4	yes	—
172	C₁₉×#102	C₂³	1	2	yes	—
173	C₁₉×#102	C₂³	1	4	yes	—
174	C₁₉×#102	C₂³	1	4	yes	—
175	C₁₉×#102	C₂³	1	4	yes	—
176	C₁₉×#102	C₂³	1	2	yes	—
177	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
178	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
179	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
181	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
182	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
183	C₂⁴×C₁₉	—	2	4	no	—
184	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
185	#41×C₁₉	—	4	4	no	—
186	#41×C₁₉	—	4	4	no	—
187	#41×C₁₉	—	8	4	no	—
188	C₂×Q₈×C₁₉	—	2	2	no	—
189	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
190	C₂×D₄×C₁₉	—	2	4	no	—
191	C₂×D₄×C₁₉	—	2	4	no	—
192	C₂×D₄×C₁₉	—	2	2	no	—
193	C₂×D₄×C₁₉	—	2	4	no	—
194	C₂×D₄×C₁₉	—	2	4	no	—
195	C₂×D₄×C₁₉	—	2	4	no	—
196	C₂×D₄×C₁₉	—	2	2	no	—
197	C₂×D₄×C₁₉	—	2	2	no	—
198	C₂×D₄×C₁₉	—	2	4	no	—
199	C₂×D₄×C₁₉	—	4	2	no	—
200	C₂×D₄×C₁₉	—	4	4	no	—
201	C₂×D₄×C₁₉	—	4	4	no	—
202	C₂×D₄×C₁₉	—	4	8	no	—
203	C₂×D₄×C₁₉	—	8	8	no	—
204	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
205	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
206	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
207	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
208	C₂²×C₄×C₁₉	—	2	4	no	—
209	C₂²×C₄×C₁₉	—	2	2	no	—
210	C₂²×C₄×C₁₉	—	2	4	no	—
211	C₂²×C₄×C₁₉	—	2	4	no	—
212	C₂²×C₄×C₁₉	—	4	2	no	—
213	C₂²×C₄×C₁₉	—	4	2	no	—
214	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
217	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
218	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
219	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
220	Q₁₆×C₁₉	—	4	1	no	—
221	SD₁₆×C₁₉	—	2	4	no	—
222	SD₁₆×C₁₉	—	4	4	no	—
223	D₈×C₁₉	—	2	4	no	—
224	D₈×C₁₉	—	4	2	no	—
225	D₈×C₁₉	—	4	1	no	—
226	D₈×C₁₉	—	4	4	no	—
227	M₁₆×C₁₉	—	2	8	no	—
228	M₁₆×C₁₉	—	4	4	no	—
229	C₂×C₈×C₁₉	—	2	2	no	—
230	C₂×C₈×C₁₉	—	4	1	no	—
231	C₂×C₈×C₁₉	—	4	2	no	—
232	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
233	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
234	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
235	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
236	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
237	C₄⋊C₄×C₁₉	—	2	4	no	—
238	C₄⋊C₄×C₁₉	—	2	2	no	—
239	C₄⋊C₄×C₁₉	—	2	2	no	—
240	C₄⋊C₄×C₁₉	—	2	2	no	—
241	C₄⋊C₄×C₁₉	—	2	2	no	—
242	C₄⋊C₄×C₁₉	—	2	4	no	—
243	C₄⋊C₄×C₁₉	—	2	2	no	—
244	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
245	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
246	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
247	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
248	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
249	C₂²⋊C₄×C₁₉	—	2	4	no	—
250	C₂²⋊C₄×C₁₉	—	2	4	no	—
251	C₂²⋊C₄×C₁₉	—	2	2	no	—
252	C₂²⋊C₄×C₁₉	—	2	2	no	—
253	C₂²⋊C₄×C₁₉	—	2	2	no	—
254	C₂²⋊C₄×C₁₉	—	2	4	no	—
255	C₂²⋊C₄×C₁₉	—	2	4	no	—
256	C₂²⋊C₄×C₁₉	—	2	4	no	—
257	C₂²⋊C₄×C₁₉	—	2	2	no	—
258	C₂²⋊C₄×C₁₉	—	2	4	no	—
259	C₂²⋊C₄×C₁₉	—	2	2	no	—
260	C₂²⋊C₄×C₁₉	—	2	4	no	—
261	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
262	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
263	C₄²×C₁₉	—	2	4	no	—
264	C₄²×C₁₉	—	2	2	no	—
265	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
266	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
267	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
268	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
269	#62263	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
270	C₂³×C₁₉	—	2	4	no	—
271	C₂³×C₁₉	—	2	2	no	—
272	C₂³×C₁₉	—	2	4	no	—
273	C₂³×C₁₉	—	4	2	no	—
274	C₂³×C₁₉	—	4	2	no	—
275	C₂³×C₁₉	—	4	8	no	—
276	C₂³×C₁₉	—	8	4	no	—
277	C₂³×C₁₉	—	8	4	no	—
278	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
279	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
280	Q₈×C₁₉	—	2	2	no	—
281	Q₈×C₁₉	—	2	2	no	—
282	Q₈×C₁₉	—	8	2	no	—
283	D₄×C₁₉	—	2	4	no	—
284	D₄×C₁₉	—	2	4	no	—
285	D₄×C₁₉	—	2	2	no	—
286	D₄×C₁₉	—	2	2	no	—
287	D₄×C₁₉	—	2	4	no	—
288	D₄×C₁₉	—	4	2	no	—
289	D₄×C₁₉	—	4	8	no	—
290	D₄×C₁₉	—	4	4	no	—
291	D₄×C₁₉	—	4	8	no	—
292	D₄×C₁₉	—	4	4	no	—
293	D₄×C₁₉	—	8	4	no	—
294	D₄×C₁₉	—	8	2	no	—
295	D₄×C₁₉	—	8	4	no	—
296	D₄×C₁₉	—	8	4	no	—
297	D₄×C₁₉	—	8	4	no	—
298	C₂×C₄×C₁₉	—	2	2	no	—
299	C₂×C₄×C₁₉	—	2	2	no	—
300	C₂×C₄×C₁₉	—	2	1	no	—
301	C₂×C₄×C₁₉	—	2	4	no	—
302	C₂×C₄×C₁₉	—	2	1	no	—
303	C₂×C₄×C₁₉	—	2	4	no	—
304	C₂×C₄×C₁₉	—	2	2	no	—
305	C₂×C₄×C₁₉	—	2	2	no	—
306	C₂×C₄×C₁₉	—	2	4	no	—
307	C₂×C₄×C₁₉	—	2	2	no	—
308	C₂×C₄×C₁₉	—	4	4	no	—
309	C₂×C₄×C₁₉	—	4	2	no	—
310	C₂×C₄×C₁₉	—	4	4	no	—
311	C₂×C₄×C₁₉	—	8	4	no	—
312	C₂×C₄×C₁₉	—	8	4	no	—
313	C₂×C₄×C₁₉	—	8	4	no	—
314	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
315	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
316	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
317	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
318	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
320	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
321	C₈×C₁₉	—	2	1	no	—
322	C₈×C₁₉	—	2	4	no	—
323	C₈×C₁₉	—	2	1	no	—
324	C₈×C₁₉	—	2	1	no	—
325	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
326	#3519	C₂×C₁₉	1	2	yes	complemented
327	#3357	C₂×C₁₉	1	2	yes	complemented
328	#3355	C₂×C₁₉	1	2	yes	complemented
329	#3333	C₂×C₁₉	1	2	yes	complemented
330	#3325	C₂×C₁₉	1	2	yes	complemented
331	#3322	C₂×C₁₉	1	4	yes	complemented
332	#3274	C₂×C₁₉	1	2	yes	complemented
333	#3273	C₂×C₁₉	1	2	yes	complemented
334	#3247	C₂×C₁₉	1	2	yes	complemented
335	#3191	C₂×C₁₉	1	2	yes	complemented
336	#3186	C₂×C₁₉	1	2	yes	complemented
337	#3169	C₂×C₁₉	1	1	yes	characteristic, complemented
338	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
339	#3055	C₂×C₁₉	1	4	yes	complemented
340	C₂×#436	C₂×C₁₉	1	1	yes	characteristic, complemented
341	C₂²×C₁₉	—	2	1	no	—
342	C₂²×C₁₉	—	2	1	no	—
343	C₂²×C₁₉	—	2	4	no	—
344	C₂²×C₁₉	—	2	4	no	—
345	C₂²×C₁₉	—	2	4	no	—
346	C₂²×C₁₉	—	4	4	no	—
347	C₂²×C₁₉	—	4	2	no	—
348	C₂²×C₁₉	—	4	2	no	—
349	C₂²×C₁₉	—	4	4	no	—
350	C₂²×C₁₉	—	4	4	no	—
351	C₂²×C₁₉	—	4	2	no	—
352	C₂²×C₁₉	—	8	4	no	—
353	C₂²×C₁₉	—	16	8	no	—
354	C₂²×C₁₉	#576	1	2	yes	—
355	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
356	C₄×C₁₉	—	2	1	no	—
357	C₄×C₁₉	—	2	4	no	—
358	C₄×C₁₉	—	2	1	no	—
359	C₄×C₁₉	—	2	1	no	—
360	C₄×C₁₉	—	2	1	no	—
361	C₄×C₁₉	—	4	2	no	—
362	C₄×C₁₉	—	4	2	no	—
363	C₄×C₁₉	—	4	2	no	—
364	C₄×C₁₉	—	4	4	no	—
365	C₄×C₁₉	#575	1	2	yes	—
366	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
367	C₄×C₁₉	#585	1	1	yes	characteristic
368	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	4	yes	complemented
369	C₂²×M₁₆	C₂²×C₁₉	1	2	yes	complemented
370	#555	C₂²×C₁₉	1	2	yes	—
371	#554	C₂²×C₁₉	1	2	yes	complemented
372	#553	—	2	2	no	—
373	#553	C₂²×C₁₉	1	4	yes	complemented
374	#550	C₂²×C₁₉	1	2	yes	—
375	#546	—	2	4	no	—
376	#546	C₂²×C₁₉	1	4	yes	complemented
377	D₄²	—	2	2	no	—
378	D₄²	C₂²×C₁₉	1	2	yes	complemented
379	#540	—	2	2	no	—
380	#538	—	2	4	no	—
381	#532	C₂²×C₁₉	1	2	yes	complemented
382	#529	C₂²×C₁₉	1	2	yes	complemented
383	#525	C₂²×C₁₉	1	4	yes	complemented
384	C₂×#121	C₂²×C₁₉	1	4	yes	complemented
385	#518	—	2	2	no	—
386	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
387	#500	C₂²×C₁₉	1	1	yes	characteristic, complemented
388	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
389	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
390	#493	C₂²×C₁₉	1	1	yes	characteristic, complemented
391	#488	C₂²×C₁₉	1	2	yes	complemented
392	#486	C₂²×C₁₉	1	2	yes	complemented
393	#485	C₂²×C₁₉	1	4	yes	complemented
394	#482	C₂²×C₁₉	1	4	yes	complemented
395	#480	C₂²×C₁₉	1	4	yes	complemented
396	#480	C₂²×C₁₉	1	4	yes	complemented
397	#478	C₂²×C₁₉	1	4	yes	complemented
398	#477	C₂²×C₁₉	1	2	yes	complemented
399	#476	C₂²×C₁₉	1	2	yes	complemented
400	#469	C₂²×C₁₉	1	4	yes	complemented
401	#469	C₂²×C₁₉	1	4	yes	complemented
402	#468	C₂²×C₁₉	1	4	yes	complemented
403	#468	C₂²×C₁₉	1	4	yes	complemented
404	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
405	#466	C₂²×C₁₉	1	1	yes	characteristic
406	#466	C₂²×C₁₉	1	2	yes	complemented
407	#466	C₂²×C₁₉	1	2	yes	complemented
408	#466	C₂²×C₁₉	1	4	yes	complemented
409	#465	C₂²×C₁₉	1	2	yes	complemented
410	#465	C₂²×C₁₉	1	4	yes	complemented
411	#463	C₂²×C₁₉	1	4	yes	complemented
412	#460	C₂²×C₁₉	1	2	yes	complemented
413	#459	C₂²×C₁₉	1	2	yes	complemented
414	#452	C₂²×C₁₉	1	4	yes	complemented
415	#449	C₂²×C₁₉	1	4	yes	complemented
416	#447	C₂²×C₁₉	1	4	yes	complemented
417	#447	C₂²×C₁₉	1	4	yes	complemented
418	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
419	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
420	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
421	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
422	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
423	#436	C₂²×C₁₉	1	2	yes	complemented
424	#436	C₂²×C₁₉	1	2	yes	complemented
425	#436	C₂²×C₁₉	1	2	yes	complemented
426	#436	C₂²×C₁₉	1	2	yes	complemented
427	#428	C₂²×C₁₉	1	4	yes	complemented
428	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
429	#418	C₂²×C₁₉	1	4	yes	complemented
430	#417	C₂²×C₁₉	1	4	yes	complemented
431	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	complemented
432	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
433	C₂×C₁₉	—	2	2	no	—
434	C₂×C₁₉	—	4	4	no	—
435	C₂×C₁₉	—	8	4	no	—
436	C₂×C₁₉	—	8	2	no	—
437	C₂×C₁₉	#3496	1	1	yes	characteristic
438	C₂×C₁₉	C₂×#575	1	1	yes	characteristic
439	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
440	C₂×#41	—	2	2	no	—
441	C₂×#41	C₂³×C₁₉	1	4	yes	—
442	C₂²×D₄	—	2	4	no	—
443	C₂²×D₄	—	2	2	no	—
444	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
445	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
446	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
447	AGL(1,ℤ/8)	—	4	8	no	—
448	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
449	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
450	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
451	C₂×D₈	C₂³×C₁₉	1	2	yes	—
452	C₂×D₈	C₂³×C₁₉	1	4	yes	—
453	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
454	C₂×D₈	C₂³×C₁₉	1	2	yes	—
455	C₂×M₁₆	—	4	4	no	—
456	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
457	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
458	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
459	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
460	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
461	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
462	#127	—	2	2	no	—
463	#127	C₂³×C₁₉	1	2	yes	—
464	#126	—	2	4	no	—
465	#126	—	2	2	no	—
466	#125	—	2	2	no	—
467	#125	C₂³×C₁₉	1	2	yes	—
468	#124	—	2	4	no	—
469	#124	—	2	2	no	—
470	#124	C₂³×C₁₉	1	2	yes	—
471	#123	—	2	4	no	—
472	#123	—	2	2	no	—
473	#123	—	2	4	no	—
474	#123	—	2	4	no	—
475	C₂²⋊Q₈	—	2	4	no	—
476	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
477	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
478	#121	—	2	4	no	—
479	#121	—	2	2	no	—
480	#121	—	2	4	no	—
481	#121	—	2	4	no	—
482	#121	—	2	2	no	—
483	#121	—	2	2	no	—
484	#121	—	2	4	no	—
485	#121	—	2	4	no	—
486	#121	C₂³×C₁₉	1	2	yes	—
487	#121	C₂³×C₁₉	1	4	yes	—
488	#121	C₂³×C₁₉	1	4	yes	—
489	#121	C₂³×C₁₉	1	4	yes	—
490	#121	C₂³×C₁₉	1	4	yes	—
491	#120	—	2	4	no	—
492	#120	—	2	4	no	—
493	#120	—	2	4	no	—
494	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
495	C₄×D₄	—	2	2	no	—
496	C₄×D₄	—	2	4	no	—
497	C₄×D₄	—	2	4	no	—
498	C₄×D₄	—	2	2	no	—
499	C₄×D₄	—	2	2	no	—
500	C₄×D₄	—	2	4	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	D₄×C₁₉	1	2	yes	—
503	C₄×D₄	D₄×C₁₉	1	2	yes	—
504	C₄×D₄	C₂³×C₁₉	1	2	yes	—
505	C₄×D₄	C₂³×C₁₉	1	4	yes	—
506	C₄×D₄	C₂³×C₁₉	1	2	yes	—
507	C₄×D₄	C₂³×C₁₉	1	2	yes	—
508	#117	—	2	2	no	—
509	#117	—	2	2	no	—
510	#117	C₂³×C₁₉	1	4	yes	—
511	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
512	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
513	C₂×C₂²⋊C₄	—	2	4	no	—
514	C₂×C₂²⋊C₄	—	2	4	no	—
515	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
516	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
517	#107	C₂³×C₁₉	1	2	yes	—
518	#107	C₂³×C₁₉	1	4	yes	—
519	#107	C₂³×C₁₉	1	2	yes	—
520	#107	C₂³×C₁₉	1	1	yes	characteristic
521	#107	C₂³×C₁₉	1	1	yes	characteristic
522	#106	C₂³×C₁₉	1	2	yes	—
523	#106	C₂³×C₁₉	1	4	yes	—
524	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
525	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
526	#103	C₂³×C₁₉	1	2	yes	—
527	#103	C₂³×C₁₉	1	4	yes	—
528	#103	C₂³×C₁₉	1	2	yes	—
529	#102	C₂³×C₁₉	1	4	yes	—
530	#102	C₂³×C₁₉	1	4	yes	—
531	#102	C₂³×C₁₉	1	2	yes	—
532	#102	C₂³×C₁₉	1	4	yes	—
533	#102	C₂³×C₁₉	1	4	yes	—
534	#102	C₂³×C₁₉	1	4	yes	—
535	#102	C₂³×C₁₉	1	2	yes	—
536	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
537	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
538	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
539	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
540	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
541	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
542	C₁₉	#62263	1	1	yes	characteristic, direct product factor, Sylow
543	C₂⁴	—	2	4	no	—
544	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
545	#41	—	4	4	no	—
546	#41	—	4	4	no	—
547	#41	—	8	4	no	—
548	C₂×Q₈	—	2	2	no	—
549	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	2	no	—
553	C₂×D₄	—	2	4	no	—
554	C₂×D₄	—	2	4	no	—
555	C₂×D₄	—	2	4	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	2	no	—
558	C₂×D₄	—	2	4	no	—
559	C₂×D₄	—	4	2	no	—
560	C₂×D₄	—	4	4	no	—
561	C₂×D₄	—	4	4	no	—
562	C₂×D₄	—	4	8	no	—
563	C₂×D₄	—	8	8	no	—
564	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
565	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
566	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
567	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
568	C₂²×C₄	—	2	4	no	—
569	C₂²×C₄	—	2	2	no	—
570	C₂²×C₄	—	2	4	no	—
571	C₂²×C₄	—	2	4	no	—
572	C₂²×C₄	—	4	2	no	—
573	C₂²×C₄	—	4	2	no	—
574	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
575	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
576	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
577	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
578	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
579	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
580	Q₁₆	—	4	1	no	—
581	SD₁₆	—	2	4	no	—
582	SD₁₆	—	4	4	no	—
583	D₈	—	2	4	no	—
584	D₈	—	4	2	no	—
585	D₈	—	4	1	no	—
586	D₈	—	4	4	no	—
587	M₁₆	—	2	8	no	—
588	M₁₆	—	4	4	no	—
589	C₂×C₈	—	2	2	no	—
590	C₂×C₈	—	4	1	no	—
591	C₂×C₈	—	4	2	no	—
592	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
593	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
594	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
595	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
596	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	4	no	—
603	C₄⋊C₄	—	2	2	no	—
604	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
605	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
606	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
607	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
608	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
609	C₂²⋊C₄	—	2	4	no	—
610	C₂²⋊C₄	—	2	4	no	—
611	C₂²⋊C₄	—	2	2	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
622	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
623	C₄²	—	2	4	no	—
624	C₄²	—	2	2	no	—
625	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
626	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
627	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
628	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
629	C₂³	—	2	4	no	—
630	C₂³	—	2	2	no	—
631	C₂³	—	2	4	no	—
632	C₂³	—	4	2	no	—
633	C₂³	—	4	2	no	—
634	C₂³	—	4	8	no	—
635	C₂³	—	8	4	no	—
636	C₂³	—	8	4	no	—
637	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
638	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
639	Q₈	—	2	2	no	—
640	Q₈	—	2	2	no	—
641	Q₈	—	8	2	no	—
642	D₄	—	2	4	no	—
643	D₄	—	2	4	no	—
644	D₄	—	2	2	no	—
645	D₄	—	2	2	no	—
646	D₄	—	2	4	no	—
647	D₄	—	4	2	no	—
648	D₄	—	4	8	no	—
649	D₄	—	4	4	no	—
650	D₄	—	4	8	no	—
651	D₄	—	4	4	no	—
652	D₄	—	8	4	no	—
653	D₄	—	8	2	no	—
654	D₄	—	8	4	no	—
655	D₄	—	8	4	no	—
656	D₄	—	8	4	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	4	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	4	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	4	4	no	—
668	C₂×C₄	—	4	2	no	—
669	C₂×C₄	—	4	4	no	—
670	C₂×C₄	—	8	4	no	—
671	C₂×C₄	—	8	4	no	—
672	C₂×C₄	—	8	4	no	—
673	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
674	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
675	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
676	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
677	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
678	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
679	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
680	C₈	—	2	1	no	—
681	C₈	—	2	4	no	—
682	C₈	—	2	1	no	—
683	C₈	—	2	1	no	—
684	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
685	C₂²	—	2	1	no	—
686	C₂²	—	2	1	no	—
687	C₂²	—	2	4	no	—
688	C₂²	—	2	4	no	—
689	C₂²	—	2	4	no	—
690	C₂²	—	4	4	no	—
691	C₂²	—	4	2	no	—
692	C₂²	—	4	2	no	—
693	C₂²	—	4	4	no	—
694	C₂²	—	4	4	no	—
695	C₂²	—	4	2	no	—
696	C₂²	—	8	4	no	—
697	C₂²	—	16	8	no	—
698	C₂²	C₁₉×#576	1	2	yes	—
699	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
700	C₄	—	2	1	no	—
701	C₄	—	2	4	no	—
702	C₄	—	2	1	no	—
703	C₄	—	2	1	no	—
704	C₄	—	2	1	no	—
705	C₄	—	4	2	no	—
706	C₄	—	4	2	no	—
707	C₄	—	4	2	no	—
708	C₄	—	4	4	no	—
709	C₄	C₁₉×#575	1	2	yes	—
710	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
711	C₄	C₁₉×#585	1	1	yes	characteristic
712	C₂	—	2	2	no	—
713	C₂	—	4	4	no	—
714	C₂	—	8	2	no	—
715	C₂	—	8	4	no	—
716	C₂	C₁₉×#3496	1	1	yes	characteristic
717	C₂	C₂×C₁₉×#575	1	1	yes	characteristic
718	C₂	C₂×C₁₉×#576	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄×D₄×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×#3357	C₂	semidirect
3. C₁₉×#3355	C₂	semidirect
4. C₁₉×#3333	C₂	semidirect
5. C₁₉×#3325	C₂	semidirect
6. C₁₉×#3322	C₂	semidirect
7. C₁₉×#3274	C₂	semidirect
8. C₁₉×#3273	C₂	semidirect
9. C₁₉×#3247	C₂	semidirect
10. C₁₉×#3191	C₂	semidirect
11. C₁₉×#3186	C₂	semidirect
12. C₁₉×#3169	C₂	semidirect
13. C₁₉×#3168	C₂	semidirect
14. C₁₉×#3055	C₂	semidirect
15. C₂×C₁₉×#436	C₂	semidirect
16. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
17. C₂²×M₁₆×C₁₉	C₂²	semidirect
19. C₁₉×#554	C₂²	semidirect
21. C₁₉×#553	C₂²	semidirect
24. C₁₉×#546	C₂²	semidirect
26. D₄²×C₁₉	C₂²	semidirect
29. C₁₉×#532	C₂²	semidirect
30. C₁₉×#529	C₂²	semidirect
31. C₁₉×#525	C₂²	semidirect
32. C₂×C₁₉×#121	C₂²	semidirect
35. C₁₉×#500	C₂²	semidirect
36. C₁₉×#499	C₂²	semidirect
37. C₁₉×#495	C₂²	semidirect
38. C₁₉×#493	C₂²	semidirect
39. C₁₉×#488	C₂²	semidirect
40. C₁₉×#486	C₂²	semidirect
41. C₁₉×#485	C₂²	semidirect
42. C₁₉×#482	C₂²	semidirect
43. C₁₉×#480	C₂²	semidirect
44. C₁₉×#480	C₂²	semidirect
45. C₁₉×#478	C₂²	semidirect
46. C₁₉×#477	C₂²	semidirect
47. C₁₉×#476	C₂²	semidirect
48. C₁₉×#469	C₂²	semidirect
49. C₁₉×#469	C₂²	semidirect
50. C₁₉×#468	C₂²	semidirect
51. C₁₉×#468	C₂²	semidirect
52. C₁₉×#467	C₂²	semidirect
54. C₁₉×#466	C₂²	semidirect
55. C₁₉×#466	C₂²	semidirect
56. C₁₉×#466	C₂²	semidirect
57. C₁₉×#465	C₂²	semidirect
58. C₁₉×#465	C₂²	semidirect
59. C₁₉×#463	C₂²	semidirect
60. C₁₉×#460	C₂²	semidirect
61. C₁₉×#459	C₂²	semidirect
62. C₁₉×#452	C₂²	semidirect
63. C₁₉×#449	C₂²	semidirect
64. C₁₉×#447	C₂²	semidirect
65. C₁₉×#447	C₂²	semidirect
66. C₄×Q₁₆×C₁₉	C₂²	semidirect
67. C₄×SD₁₆×C₁₉	C₂²	semidirect
68. C₄×D₈×C₁₉	C₂²	semidirect
69. C₄×D₈×C₁₉	C₂²	semidirect
70. C₄×D₈×C₁₉	C₂²	semidirect
71. C₁₉×#436	C₂²	semidirect
72. C₁₉×#436	C₂²	semidirect
73. C₁₉×#436	C₂²	semidirect
74. C₁₉×#436	C₂²	semidirect
75. C₁₉×#428	C₂²	semidirect
76. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
77. C₁₉×#418	C₂²	semidirect
78. C₁₉×#417	C₂²	semidirect
79. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
80. C₂×C₄×C₈×C₁₉	C₂²	semidirect
269. #62263	C₁₉	direct (N × H)
326. #3519	C₂×C₁₉	semidirect
327. #3357	C₂×C₁₉	semidirect
328. #3355	C₂×C₁₉	semidirect
329. #3333	C₂×C₁₉	semidirect
330. #3325	C₂×C₁₉	semidirect
331. #3322	C₂×C₁₉	semidirect
332. #3274	C₂×C₁₉	semidirect
333. #3273	C₂×C₁₉	semidirect
334. #3247	C₂×C₁₉	semidirect
335. #3191	C₂×C₁₉	semidirect
336. #3186	C₂×C₁₉	semidirect
337. #3169	C₂×C₁₉	semidirect
338. #3168	C₂×C₁₉	semidirect
339. #3055	C₂×C₁₉	semidirect
340. C₂×#436	C₂×C₁₉	semidirect
368. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
369. C₂²×M₁₆	C₂²×C₁₉	semidirect
371. #554	C₂²×C₁₉	semidirect
373. #553	C₂²×C₁₉	semidirect
376. #546	C₂²×C₁₉	semidirect
378. D₄²	C₂²×C₁₉	semidirect
381. #532	C₂²×C₁₉	semidirect
382. #529	C₂²×C₁₉	semidirect
383. #525	C₂²×C₁₉	semidirect
384. C₂×#121	C₂²×C₁₉	semidirect
387. #500	C₂²×C₁₉	semidirect
388. #499	C₂²×C₁₉	semidirect
389. #495	C₂²×C₁₉	semidirect
390. #493	C₂²×C₁₉	semidirect
391. #488	C₂²×C₁₉	semidirect
392. #486	C₂²×C₁₉	semidirect
393. #485	C₂²×C₁₉	semidirect
394. #482	C₂²×C₁₉	semidirect
395. #480	C₂²×C₁₉	semidirect
396. #480	C₂²×C₁₉	semidirect
397. #478	C₂²×C₁₉	semidirect
398. #477	C₂²×C₁₉	semidirect
399. #476	C₂²×C₁₉	semidirect
400. #469	C₂²×C₁₉	semidirect
401. #469	C₂²×C₁₉	semidirect
402. #468	C₂²×C₁₉	semidirect
403. #468	C₂²×C₁₉	semidirect
404. #467	C₂²×C₁₉	semidirect
406. #466	C₂²×C₁₉	semidirect
407. #466	C₂²×C₁₉	semidirect
408. #466	C₂²×C₁₉	semidirect
409. #465	C₂²×C₁₉	semidirect
410. #465	C₂²×C₁₉	semidirect
411. #463	C₂²×C₁₉	semidirect
412. #460	C₂²×C₁₉	semidirect
413. #459	C₂²×C₁₉	semidirect
414. #452	C₂²×C₁₉	semidirect
415. #449	C₂²×C₁₉	semidirect
416. #447	C₂²×C₁₉	semidirect
417. #447	C₂²×C₁₉	semidirect
418. C₄×Q₁₆	C₂²×C₁₉	semidirect
419. C₄×SD₁₆	C₂²×C₁₉	semidirect
420. C₄×D₈	C₂²×C₁₉	semidirect
421. C₄×D₈	C₂²×C₁₉	semidirect
422. C₄×D₈	C₂²×C₁₉	semidirect
423. #436	C₂²×C₁₉	semidirect
424. #436	C₂²×C₁₉	semidirect
425. #436	C₂²×C₁₉	semidirect
426. #436	C₂²×C₁₉	semidirect
427. #428	C₂²×C₁₉	semidirect
428. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
429. #418	C₂²×C₁₉	semidirect
430. #417	C₂²×C₁₉	semidirect
431. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
432. C₂×C₄×C₈	C₂²×C₁₉	semidirect
542. C₁₉	#62263	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×#3357	2
C₁₉×#3355	2
C₁₉×#3333	2
C₁₉×#3325	2
C₁₉×#3322	2
C₁₉×#3274	2
C₁₉×#3273	2
C₁₉×#3247	2
C₁₉×#3191	2
C₁₉×#3186	2
C₁₉×#3169	2
C₁₉×#3168	2
C₁₉×#3055	2
C₂×C₁₉×#436	2
#62263	19

Subgroups — C19×#62263 #18068222

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62263 #18068222