Subgroups — C₁₉×#62325 #18068284

Order 4864.

1784 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3547	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3341	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3338	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3336	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3331	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3329	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3327	C₂	1	4	yes	maximal, complemented
8	D₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3285	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3283	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3252	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3201	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3170	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3061	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3059	C₂	1	2	yes	maximal, complemented
17	C₁₉×#2931	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₉×#135	C₂²	1	2	yes	—
19	C₂²×Q₁₆×C₁₉	C₂²	1	2	yes	—
20	C₂×C₁₉×#131	C₂²	1	2	yes	—
21	C₁₉×#562	—	2	4	no	—
22	C₁₉×#555	—	2	2	no	—
23	C₁₉×#555	C₂²	1	2	yes	—
24	C₁₉×#554	C₂²	1	2	yes	—
25	C₁₉×#553	—	2	2	no	—
26	C₁₉×#552	C₂²	1	4	yes	—
27	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
28	C₁₉×#548	C₂²	1	4	yes	—
29	C₁₉×#547	C₂²	1	2	yes	—
30	C₁₉×#544	—	2	2	no	—
31	C₁₉×#542	—	2	4	no	—
32	C₁₉×#540	—	2	2	no	—
33	C₁₉×#537	C₂²	1	4	yes	—
34	C₁₉×#536	C₂²	1	4	yes	—
35	C₁₉×#533	C₂²	1	2	yes	—
36	C₁₉×#532	C₂²	1	1	yes	characteristic
37	C₁₉×#529	C₂²	1	2	yes	—
38	C₁₉×#500	C₂²	1	1	yes	characteristic
39	C₁₉×#499	C₂²	1	1	yes	characteristic
40	C₁₉×#495	C₂²	1	1	yes	characteristic
41	C₁₉×#494	C₂²	1	1	yes	characteristic
42	C₁₉×#488	C₂²	1	2	yes	—
43	C₁₉×#487	C₂²	1	2	yes	—
44	C₁₉×#485	C₂²	1	4	yes	—
45	C₁₉×#484	C₂²	1	4	yes	—
46	C₁₉×#483	C₂²	1	4	yes	—
47	C₁₉×#482	C₂²	1	4	yes	—
48	C₁₉×#479	C₂²	1	4	yes	—
49	C₁₉×#477	C₂²	1	2	yes	—
50	C₁₉×#476	C₂²	1	2	yes	—
51	C₁₉×#470	C₂²	1	4	yes	—
52	C₁₉×#470	C₂²	1	4	yes	—
53	C₁₉×#468	C₂²	1	4	yes	—
54	C₁₉×#468	C₂²	1	4	yes	—
55	C₁₉×#467	C₂²	1	1	yes	characteristic
56	C₁₉×#467	C₂²	1	2	yes	—
57	C₁₉×#467	C₂²	1	2	yes	—
58	C₁₉×#467	C₂²	1	2	yes	—
59	C₁₉×#467	C₂²	1	2	yes	—
60	C₁₉×#467	C₂²	1	2	yes	—
61	C₁₉×#466	C₂²	1	1	yes	characteristic
62	C₁₉×#466	C₂²	1	2	yes	—
63	C₁₉×#465	C₂²	1	2	yes	—
64	C₁₉×#464	C₂²	1	4	yes	—
65	C₁₉×#462	C₂²	1	2	yes	—
66	C₁₉×#461	C₂²	1	2	yes	—
67	C₁₉×#452	C₂²	1	4	yes	—
68	C₁₉×#452	C₂²	1	4	yes	—
69	C₁₉×#451	C₂²	1	4	yes	—
70	C₁₉×#448	C₂²	1	4	yes	—
71	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
72	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
73	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
74	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
75	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
76	C₁₉×#436	C₂²	1	2	yes	—
77	C₁₉×#436	C₂²	1	1	yes	characteristic
78	C₁₉×#436	C₂²	1	1	yes	characteristic
79	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
80	C₈×D₄×C₁₉	C₂²	1	2	yes	—
81	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
82	C₁₉×#427	C₂²	1	2	yes	—
83	C₂×C₁₉×#107	C₂²	1	2	yes	—
84	C₁₉×#423	C₂²	1	1	yes	characteristic
85	C₁₉×#419	C₂²	1	4	yes	—
86	C₁₉×#417	C₂²	1	4	yes	—
87	C₁₉×#408	C₂²	1	2	yes	—
88	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
89	C₂×#41×C₁₉	C₂³	1	4	yes	—
90	C₂×#41×C₁₉	C₂³	1	2	yes	—
91	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
92	C₁₉×#135	—	4	4	no	—
93	C₂×Q₁₆×C₁₉	—	4	4	no	—
94	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
95	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
96	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
97	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	—
98	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
99	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
100	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
101	C₁₉×#131	—	4	4	no	—
102	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
103	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
104	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
105	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
106	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
107	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
108	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
109	C₁₉×C₄⋊Q₈	—	2	4	no	—
110	C₁₉×C₄⋊Q₈	—	2	2	no	—
111	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
112	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
113	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
114	C₁₉×#127	D₄	1	1	yes	characteristic
115	C₁₉×#126	—	2	4	no	—
116	C₁₉×#126	—	2	2	no	—
117	C₁₉×#125	—	2	4	no	—
118	C₁₉×#125	—	2	2	no	—
119	C₁₉×#125	—	2	2	no	—
120	C₁₉×#125	C₂³	1	2	yes	—
121	C₁₉×#124	—	2	4	no	—
122	C₁₉×#124	—	2	4	no	—
123	C₁₉×#124	—	2	4	no	—
124	C₁₉×#124	D₄	1	2	yes	—
125	C₁₉×#124	C₂³	1	2	yes	—
126	C₁₉×#123	—	2	4	no	—
127	C₁₉×#123	—	2	4	no	—
128	C₁₉×#123	—	2	4	no	—
129	C₁₉×#123	—	2	2	no	—
130	C₁₉×#123	—	2	4	no	—
131	C₁₉×C₂²⋊Q₈	—	2	4	no	—
132	C₁₉×C₂²⋊Q₈	—	2	2	no	—
133	C₁₉×C₂²⋊Q₈	—	2	4	no	—
134	C₁₉×C₂²⋊Q₈	—	2	4	no	—
135	C₁₉×C₂²⋊Q₈	—	2	4	no	—
136	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
137	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
138	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
139	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
140	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₉×#121	—	2	4	no	—
142	C₁₉×#121	—	2	4	no	—
143	C₁₉×#121	—	2	4	no	—
144	C₁₉×#121	—	2	2	no	—
145	C₁₉×#121	—	2	4	no	—
146	C₁₉×#121	—	2	2	no	—
147	C₁₉×#121	D₄	1	1	yes	characteristic
148	C₁₉×#121	D₄	1	1	yes	characteristic
149	C₁₉×#121	D₄	1	2	yes	—
150	C₁₉×#121	C₂³	1	4	yes	—
151	C₁₉×#121	C₂³	1	2	yes	—
152	C₄×Q₈×C₁₉	—	2	2	no	—
153	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
154	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
155	C₄×D₄×C₁₉	—	2	2	no	—
156	C₄×D₄×C₁₉	—	2	2	no	—
157	C₄×D₄×C₁₉	—	2	2	no	—
158	C₄×D₄×C₁₉	—	2	4	no	—
159	C₄×D₄×C₁₉	C₂³	1	2	yes	—
160	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
161	C₄×D₄×C₁₉	C₂³	1	2	yes	—
162	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
163	C₁₉×#117	—	2	2	no	—
164	C₁₉×#117	—	2	2	no	—
165	C₁₉×#117	—	2	4	no	—
166	C₁₉×#117	—	2	2	no	—
167	C₁₉×#117	C₂³	1	4	yes	—
168	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
169	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
170	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
171	C₁₉×#107	C₂³	1	1	yes	characteristic
172	C₁₉×#107	C₂³	1	2	yes	—
173	C₁₉×#107	C₂³	1	4	yes	—
174	C₁₉×#107	C₂³	1	1	yes	characteristic
175	C₁₉×#107	C₂³	1	2	yes	—
176	C₁₉×#106	C₂³	1	4	yes	—
177	C₁₉×#106	C₂³	1	2	yes	—
178	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
179	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
180	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
181	C₁₉×#103	C₂³	1	4	yes	—
182	C₁₉×#103	C₂³	1	4	yes	—
183	C₁₉×#103	C₂³	1	2	yes	—
184	C₁₉×#103	C₂³	1	4	yes	—
185	C₁₉×#103	C₂³	1	4	yes	—
186	C₁₉×#103	C₂³	1	4	yes	—
187	C₁₉×#103	C₂³	1	2	yes	—
188	C₁₉×#102	C₂³	1	2	yes	—
189	C₁₉×#102	C₂³	1	4	yes	—
190	C₁₉×#102	C₂³	1	2	yes	—
191	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
192	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
193	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
194	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
195	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
197	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
198	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
199	#41×C₁₉	—	4	2	no	—
200	#41×C₁₉	—	4	2	no	—
201	#41×C₁₉	—	4	4	no	—
202	#41×C₁₉	—	4	4	no	—
203	C₂×Q₈×C₁₉	—	2	2	no	—
204	C₂×Q₈×C₁₉	—	2	4	no	—
205	C₂×Q₈×C₁₉	—	4	4	no	—
206	C₂×Q₈×C₁₉	—	4	4	no	—
207	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
208	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
209	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
210	C₂×D₄×C₁₉	—	2	2	no	—
211	C₂×D₄×C₁₉	—	2	4	no	—
212	C₂×D₄×C₁₉	—	2	4	no	—
213	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
214	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
215	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
216	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
217	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
218	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
219	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
220	C₂²×C₄×C₁₉	—	2	4	no	—
221	C₂²×C₄×C₁₉	—	2	4	no	—
222	C₂²×C₄×C₁₉	—	2	2	no	—
223	C₂²×C₄×C₁₉	—	2	4	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	C₂⁴	1	1	yes	characteristic
227	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
228	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
229	Q₁₆×C₁₉	—	2	2	no	—
230	Q₁₆×C₁₉	—	2	4	no	—
231	Q₁₆×C₁₉	—	4	4	no	—
232	Q₁₆×C₁₉	—	4	2	no	—
233	SD₁₆×C₁₉	—	4	2	no	—
234	SD₁₆×C₁₉	—	4	4	no	—
235	D₈×C₁₉	—	2	2	no	—
236	M₁₆×C₁₉	—	4	2	no	—
237	M₁₆×C₁₉	—	4	2	no	—
238	M₁₆×C₁₉	—	4	2	no	—
239	C₂×C₈×C₁₉	—	2	2	no	—
240	C₂×C₈×C₁₉	—	2	4	no	—
241	C₂×C₈×C₁₉	—	2	4	no	—
242	C₂×C₈×C₁₉	—	4	1	no	—
243	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
244	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
245	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
246	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
247	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
248	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
249	C₄⋊C₄×C₁₉	—	2	2	no	—
250	C₄⋊C₄×C₁₉	—	2	4	no	—
251	C₄⋊C₄×C₁₉	—	2	4	no	—
252	C₄⋊C₄×C₁₉	—	2	2	no	—
253	C₄⋊C₄×C₁₉	—	2	2	no	—
254	C₄⋊C₄×C₁₉	—	2	4	no	—
255	C₄⋊C₄×C₁₉	—	2	2	no	—
256	C₄⋊C₄×C₁₉	—	2	2	no	—
257	C₄⋊C₄×C₁₉	—	2	4	no	—
258	C₄⋊C₄×C₁₉	—	2	4	no	—
259	C₄⋊C₄×C₁₉	—	2	2	no	—
260	C₄⋊C₄×C₁₉	—	2	4	no	—
261	C₄⋊C₄×C₁₉	—	2	2	no	—
262	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
263	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
264	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
265	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
266	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
267	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
268	C₂²⋊C₄×C₁₉	—	2	4	no	—
269	C₂²⋊C₄×C₁₉	—	2	4	no	—
270	C₂²⋊C₄×C₁₉	—	2	4	no	—
271	C₂²⋊C₄×C₁₉	—	2	4	no	—
272	C₂²⋊C₄×C₁₉	—	2	4	no	—
273	C₂²⋊C₄×C₁₉	—	2	2	no	—
274	C₂²⋊C₄×C₁₉	—	2	2	no	—
275	C₂²⋊C₄×C₁₉	—	2	2	no	—
276	C₂²⋊C₄×C₁₉	—	2	4	no	—
277	C₂²⋊C₄×C₁₉	—	2	2	no	—
278	C₂²⋊C₄×C₁₉	—	2	2	no	—
279	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
280	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
281	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
282	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
283	C₄²×C₁₉	—	2	4	no	—
284	C₄²×C₁₉	—	2	4	no	—
285	C₄²×C₁₉	—	2	2	no	—
286	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
287	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
288	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
289	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
290	#62325	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂³×C₁₉	—	2	2	no	—
292	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
293	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
294	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
295	Q₈×C₁₉	—	2	4	no	—
296	Q₈×C₁₉	—	2	2	no	—
297	Q₈×C₁₉	—	2	2	no	—
298	Q₈×C₁₉	—	2	4	no	—
299	Q₈×C₁₉	—	4	2	no	—
300	Q₈×C₁₉	—	8	2	no	—
301	Q₈×C₁₉	—	8	4	no	—
302	D₄×C₁₉	—	2	2	no	—
303	D₄×C₁₉	—	2	2	no	—
304	D₄×C₁₉	—	2	2	no	—
305	D₄×C₁₉	—	2	2	no	—
306	D₄×C₁₉	—	4	2	no	—
307	D₄×C₁₉	—	4	2	no	—
308	D₄×C₁₉	—	4	2	no	—
309	D₄×C₁₉	—	4	2	no	—
310	D₄×C₁₉	—	8	2	no	—
311	D₄×C₁₉	—	8	4	no	—
312	D₄×C₁₉	—	8	4	no	—
313	C₂×C₄×C₁₉	—	2	2	no	—
314	C₂×C₄×C₁₉	—	2	1	no	—
315	C₂×C₄×C₁₉	—	2	2	no	—
316	C₂×C₄×C₁₉	—	2	2	no	—
317	C₂×C₄×C₁₉	—	2	1	no	—
318	C₂×C₄×C₁₉	—	2	2	no	—
319	C₂×C₄×C₁₉	—	2	2	no	—
320	C₂×C₄×C₁₉	—	2	2	no	—
321	C₂×C₄×C₁₉	—	2	4	no	—
322	C₂×C₄×C₁₉	—	2	2	no	—
323	C₂×C₄×C₁₉	—	2	2	no	—
324	C₂×C₄×C₁₉	—	2	4	no	—
325	C₂×C₄×C₁₉	—	4	1	no	—
326	C₂×C₄×C₁₉	—	4	4	no	—
327	C₂×C₄×C₁₉	—	8	4	no	—
328	C₂×C₄×C₁₉	—	8	4	no	—
329	C₂×C₄×C₁₉	—	8	4	no	—
330	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
331	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
332	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
334	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
336	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
338	C₈×C₁₉	—	2	1	no	—
339	C₈×C₁₉	—	2	2	no	—
340	C₈×C₁₉	—	2	2	no	—
341	C₈×C₁₉	—	2	1	no	—
342	C₈×C₁₉	—	2	1	no	—
343	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
344	#3547	C₂×C₁₉	1	2	yes	complemented
345	#3341	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#3338	C₂×C₁₉	1	1	yes	characteristic, complemented
347	#3336	C₂×C₁₉	1	2	yes	complemented
348	#3331	C₂×C₁₉	1	2	yes	complemented
349	#3329	C₂×C₁₉	1	2	yes	complemented
350	#3327	C₂×C₁₉	1	4	yes	complemented
351	D₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
352	#3285	C₂×C₁₉	1	2	yes	complemented
353	#3283	C₂×C₁₉	1	1	yes	characteristic, complemented
354	#3252	C₂×C₁₉	1	2	yes	complemented
355	#3201	C₂×C₁₉	1	4	yes	complemented
356	#3170	C₂×C₁₉	1	1	yes	characteristic, complemented
357	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
358	#3061	C₂×C₁₉	1	2	yes	complemented
359	#3059	C₂×C₁₉	1	2	yes	complemented
360	#2931	C₂×C₁₉	1	1	yes	characteristic, complemented
361	C₂²×C₁₉	—	2	1	no	—
362	C₂²×C₁₉	—	2	2	no	—
363	C₂²×C₁₉	—	2	2	no	—
364	C₂²×C₁₉	—	2	2	no	—
365	C₂²×C₁₉	—	2	1	no	—
366	C₂²×C₁₉	—	2	2	no	—
367	C₂²×C₁₉	—	2	1	no	—
368	C₂²×C₁₉	—	2	2	no	—
369	C₂²×C₁₉	—	2	2	no	—
370	C₂²×C₁₉	—	4	2	no	—
371	C₂²×C₁₉	—	4	2	no	—
372	C₂²×C₁₉	—	4	2	no	—
373	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
374	C₄×C₁₉	—	2	1	no	—
375	C₄×C₁₉	—	2	1	no	—
376	C₄×C₁₉	—	2	2	no	—
377	C₄×C₁₉	—	2	1	no	—
378	C₄×C₁₉	—	2	2	no	—
379	C₄×C₁₉	—	2	1	no	—
380	C₄×C₁₉	—	4	2	no	—
381	C₄×C₁₉	—	4	4	no	—
382	C₄×C₁₉	—	4	4	no	—
383	C₄×C₁₉	—	4	2	no	—
384	C₄×C₁₉	—	4	2	no	—
385	C₄×C₁₉	#578	1	2	yes	—
386	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
387	C₄×C₁₉	#585	1	1	yes	characteristic
388	C₂×#135	C₂²×C₁₉	1	2	yes	—
389	C₂²×Q₁₆	C₂²×C₁₉	1	2	yes	—
390	C₂×#131	C₂²×C₁₉	1	2	yes	—
391	#562	—	2	4	no	—
392	#555	—	2	2	no	—
393	#555	C₂²×C₁₉	1	2	yes	—
394	#554	C₂²×C₁₉	1	2	yes	—
395	#553	—	2	2	no	—
396	#552	C₂²×C₁₉	1	4	yes	—
397	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
398	#548	C₂²×C₁₉	1	4	yes	—
399	#547	C₂²×C₁₉	1	2	yes	—
400	#544	—	2	2	no	—
401	#542	—	2	4	no	—
402	#540	—	2	2	no	—
403	#537	C₂²×C₁₉	1	4	yes	—
404	#536	C₂²×C₁₉	1	4	yes	—
405	#533	C₂²×C₁₉	1	2	yes	—
406	#532	C₂²×C₁₉	1	1	yes	characteristic
407	#529	C₂²×C₁₉	1	2	yes	—
408	#500	C₂²×C₁₉	1	1	yes	characteristic
409	#499	C₂²×C₁₉	1	1	yes	characteristic
410	#495	C₂²×C₁₉	1	1	yes	characteristic
411	#494	C₂²×C₁₉	1	1	yes	characteristic
412	#488	C₂²×C₁₉	1	2	yes	—
413	#487	C₂²×C₁₉	1	2	yes	—
414	#485	C₂²×C₁₉	1	4	yes	—
415	#484	C₂²×C₁₉	1	4	yes	—
416	#483	C₂²×C₁₉	1	4	yes	—
417	#482	C₂²×C₁₉	1	4	yes	—
418	#479	C₂²×C₁₉	1	4	yes	—
419	#477	C₂²×C₁₉	1	2	yes	—
420	#476	C₂²×C₁₉	1	2	yes	—
421	#470	C₂²×C₁₉	1	4	yes	—
422	#470	C₂²×C₁₉	1	4	yes	—
423	#468	C₂²×C₁₉	1	4	yes	—
424	#468	C₂²×C₁₉	1	4	yes	—
425	#467	C₂²×C₁₉	1	2	yes	—
426	#467	C₂²×C₁₉	1	2	yes	—
427	#467	C₂²×C₁₉	1	2	yes	—
428	#467	C₂²×C₁₉	1	1	yes	characteristic
429	#467	C₂²×C₁₉	1	2	yes	—
430	#467	C₂²×C₁₉	1	2	yes	—
431	#466	C₂²×C₁₉	1	2	yes	—
432	#466	C₂²×C₁₉	1	1	yes	characteristic
433	#465	C₂²×C₁₉	1	2	yes	—
434	#464	C₂²×C₁₉	1	4	yes	—
435	#462	C₂²×C₁₉	1	2	yes	—
436	#461	C₂²×C₁₉	1	2	yes	—
437	#452	C₂²×C₁₉	1	4	yes	—
438	#452	C₂²×C₁₉	1	4	yes	—
439	#451	C₂²×C₁₉	1	4	yes	—
440	#448	C₂²×C₁₉	1	4	yes	—
441	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
442	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
443	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
444	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
445	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
446	#436	C₂²×C₁₉	1	1	yes	characteristic
447	#436	C₂²×C₁₉	1	1	yes	characteristic
448	#436	C₂²×C₁₉	1	2	yes	—
449	C₈×D₄	C₂²×C₁₉	1	2	yes	—
450	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
451	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
452	#427	C₂²×C₁₉	1	2	yes	—
453	C₂×#107	C₂²×C₁₉	1	2	yes	—
454	#423	C₂²×C₁₉	1	1	yes	characteristic
455	#419	C₂²×C₁₉	1	4	yes	—
456	#417	C₂²×C₁₉	1	4	yes	—
457	#408	C₂²×C₁₉	1	2	yes	—
458	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
459	C₂×C₁₉	—	4	1	no	—
460	C₂×C₁₉	—	4	2	no	—
461	C₂×C₁₉	—	4	2	no	—
462	C₂×C₁₉	—	8	2	no	—
463	C₂×C₁₉	#3496	1	1	yes	characteristic
464	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
465	C₂×C₁₉	#3584	1	1	yes	characteristic
466	C₂×#41	C₂³×C₁₉	1	4	yes	—
467	C₂×#41	C₂³×C₁₉	1	2	yes	—
468	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
469	#135	—	4	4	no	—
470	C₂×Q₁₆	—	4	4	no	—
471	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
472	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
473	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
474	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
475	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
476	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
477	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
478	#131	—	4	4	no	—
479	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
480	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
481	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
482	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
483	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
484	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
485	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
486	C₄⋊Q₈	—	2	4	no	—
487	C₄⋊Q₈	—	2	2	no	—
488	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
489	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
490	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
491	#127	D₄×C₁₉	1	1	yes	characteristic
492	#126	—	2	4	no	—
493	#126	—	2	2	no	—
494	#125	—	2	4	no	—
495	#125	—	2	2	no	—
496	#125	—	2	2	no	—
497	#125	C₂³×C₁₉	1	2	yes	—
498	#124	—	2	4	no	—
499	#124	—	2	4	no	—
500	#124	—	2	4	no	—
501	#124	D₄×C₁₉	1	2	yes	—
502	#124	C₂³×C₁₉	1	2	yes	—
503	#123	—	2	4	no	—
504	#123	—	2	4	no	—
505	#123	—	2	4	no	—
506	#123	—	2	2	no	—
507	#123	—	2	4	no	—
508	C₂²⋊Q₈	—	2	4	no	—
509	C₂²⋊Q₈	—	2	2	no	—
510	C₂²⋊Q₈	—	2	4	no	—
511	C₂²⋊Q₈	—	2	4	no	—
512	C₂²⋊Q₈	—	2	4	no	—
513	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
514	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
515	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
516	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
517	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
518	#121	—	2	4	no	—
519	#121	—	2	4	no	—
520	#121	—	2	4	no	—
521	#121	—	2	2	no	—
522	#121	—	2	4	no	—
523	#121	—	2	2	no	—
524	#121	D₄×C₁₉	1	1	yes	characteristic
525	#121	D₄×C₁₉	1	1	yes	characteristic
526	#121	D₄×C₁₉	1	2	yes	—
527	#121	C₂³×C₁₉	1	2	yes	—
528	#121	C₂³×C₁₉	1	4	yes	—
529	C₄×Q₈	—	2	2	no	—
530	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
531	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
532	C₄×D₄	—	2	2	no	—
533	C₄×D₄	—	2	2	no	—
534	C₄×D₄	—	2	2	no	—
535	C₄×D₄	—	2	4	no	—
536	C₄×D₄	C₂³×C₁₉	1	2	yes	—
537	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
538	C₄×D₄	C₂³×C₁₉	1	2	yes	—
539	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
540	#117	—	2	2	no	—
541	#117	—	2	2	no	—
542	#117	—	2	4	no	—
543	#117	—	2	2	no	—
544	#117	C₂³×C₁₉	1	4	yes	—
545	C₂×C₄⋊C₄	—	2	2	no	—
546	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
547	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
548	#107	C₂³×C₁₉	1	1	yes	characteristic
549	#107	C₂³×C₁₉	1	2	yes	—
550	#107	C₂³×C₁₉	1	4	yes	—
551	#107	C₂³×C₁₉	1	1	yes	characteristic
552	#107	C₂³×C₁₉	1	2	yes	—
553	#106	C₂³×C₁₉	1	4	yes	—
554	#106	C₂³×C₁₉	1	2	yes	—
555	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
556	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
557	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
558	#103	C₂³×C₁₉	1	4	yes	—
559	#103	C₂³×C₁₉	1	4	yes	—
560	#103	C₂³×C₁₉	1	2	yes	—
561	#103	C₂³×C₁₉	1	4	yes	—
562	#103	C₂³×C₁₉	1	4	yes	—
563	#103	C₂³×C₁₉	1	4	yes	—
564	#103	C₂³×C₁₉	1	2	yes	—
565	#102	C₂³×C₁₉	1	2	yes	—
566	#102	C₂³×C₁₉	1	4	yes	—
567	#102	C₂³×C₁₉	1	2	yes	—
568	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
569	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
570	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
571	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
572	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
573	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
574	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
575	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
576	C₁₉	#62325	1	1	yes	characteristic, direct product factor, Sylow
577	#41	—	4	2	no	—
578	#41	—	4	2	no	—
579	#41	—	4	4	no	—
580	#41	—	4	4	no	—
581	C₂×Q₈	—	2	2	no	—
582	C₂×Q₈	—	2	4	no	—
583	C₂×Q₈	—	4	4	no	—
584	C₂×Q₈	—	4	4	no	—
585	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
586	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
587	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
588	C₂×D₄	—	2	2	no	—
589	C₂×D₄	—	2	4	no	—
590	C₂×D₄	—	2	4	no	—
591	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
592	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
593	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
594	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
595	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
596	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
597	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
598	C₂²×C₄	—	2	4	no	—
599	C₂²×C₄	—	2	4	no	—
600	C₂²×C₄	—	2	2	no	—
601	C₂²×C₄	—	2	4	no	—
602	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
603	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
604	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
605	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
606	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
607	Q₁₆	—	2	2	no	—
608	Q₁₆	—	2	4	no	—
609	Q₁₆	—	4	4	no	—
610	Q₁₆	—	4	2	no	—
611	SD₁₆	—	4	2	no	—
612	SD₁₆	—	4	4	no	—
613	D₈	—	2	2	no	—
614	M₁₆	—	4	2	no	—
615	M₁₆	—	4	2	no	—
616	M₁₆	—	4	2	no	—
617	C₂×C₈	—	2	2	no	—
618	C₂×C₈	—	2	4	no	—
619	C₂×C₈	—	2	4	no	—
620	C₂×C₈	—	4	1	no	—
621	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
622	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
623	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
624	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
625	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
626	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	4	no	—
629	C₄⋊C₄	—	2	4	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	2	no	—
632	C₄⋊C₄	—	2	4	no	—
633	C₄⋊C₄	—	2	2	no	—
634	C₄⋊C₄	—	2	2	no	—
635	C₄⋊C₄	—	2	4	no	—
636	C₄⋊C₄	—	2	4	no	—
637	C₄⋊C₄	—	2	2	no	—
638	C₄⋊C₄	—	2	4	no	—
639	C₄⋊C₄	—	2	2	no	—
640	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
641	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
642	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
643	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
644	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
645	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
646	C₂²⋊C₄	—	2	4	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	4	no	—
649	C₂²⋊C₄	—	2	4	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	—	2	2	no	—
652	C₂²⋊C₄	—	2	2	no	—
653	C₂²⋊C₄	—	2	2	no	—
654	C₂²⋊C₄	—	2	4	no	—
655	C₂²⋊C₄	—	2	2	no	—
656	C₂²⋊C₄	—	2	2	no	—
657	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
658	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
659	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
660	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
661	C₄²	—	2	4	no	—
662	C₄²	—	2	4	no	—
663	C₄²	—	2	2	no	—
664	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
665	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
666	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
667	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
668	C₂³	—	2	2	no	—
669	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
670	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
671	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
672	Q₈	—	2	4	no	—
673	Q₈	—	2	2	no	—
674	Q₈	—	2	2	no	—
675	Q₈	—	2	4	no	—
676	Q₈	—	4	2	no	—
677	Q₈	—	8	4	no	—
678	Q₈	—	8	2	no	—
679	D₄	—	2	2	no	—
680	D₄	—	2	2	no	—
681	D₄	—	2	2	no	—
682	D₄	—	2	2	no	—
683	D₄	—	4	2	no	—
684	D₄	—	4	2	no	—
685	D₄	—	4	2	no	—
686	D₄	—	4	2	no	—
687	D₄	—	8	4	no	—
688	D₄	—	8	2	no	—
689	D₄	—	8	4	no	—
690	C₂×C₄	—	2	2	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	4	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	4	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	4	no	—
704	C₂×C₄	—	8	4	no	—
705	C₂×C₄	—	8	4	no	—
706	C₂×C₄	—	8	4	no	—
707	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
708	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
709	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
710	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
711	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
712	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
713	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
714	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
715	C₈	—	2	1	no	—
716	C₈	—	2	2	no	—
717	C₈	—	2	2	no	—
718	C₈	—	2	1	no	—
719	C₈	—	2	1	no	—
720	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
721	C₂²	—	2	2	no	—
722	C₂²	—	2	1	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	2	1	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	1	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	2	no	—
733	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
734	C₄	—	2	2	no	—
735	C₄	—	2	1	no	—
736	C₄	—	2	2	no	—
737	C₄	—	2	1	no	—
738	C₄	—	2	1	no	—
739	C₄	—	2	1	no	—
740	C₄	—	4	4	no	—
741	C₄	—	4	2	no	—
742	C₄	—	4	2	no	—
743	C₄	—	4	2	no	—
744	C₄	—	4	4	no	—
745	C₄	C₁₉×#578	1	2	yes	—
746	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
747	C₄	C₁₉×#585	1	1	yes	characteristic
748	C₂	—	4	2	no	—
749	C₂	—	4	1	no	—
750	C₂	—	4	2	no	—
751	C₂	—	8	2	no	—
752	C₂	C₁₉×#3496	1	1	yes	characteristic
753	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
754	C₂	C₁₉×#3584	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 ◁ C₁₉×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3547	C₂	semidirect
2. C₁₉×#3341	C₂	semidirect
3. C₁₉×#3338	C₂	semidirect
4. C₁₉×#3336	C₂	semidirect
5. C₁₉×#3331	C₂	semidirect
6. C₁₉×#3329	C₂	semidirect
7. C₁₉×#3327	C₂	semidirect
8. D₄×Q₁₆×C₁₉	C₂	semidirect
9. C₁₉×#3285	C₂	semidirect
10. C₁₉×#3283	C₂	semidirect
11. C₁₉×#3252	C₂	semidirect
12. C₁₉×#3201	C₂	semidirect
13. C₁₉×#3170	C₂	semidirect
14. C₁₉×#3168	C₂	semidirect
15. C₁₉×#3061	C₂	semidirect
16. C₁₉×#3059	C₂	semidirect
17. C₁₉×#2931	C₂	semidirect
290. #62325	C₁₉	direct (N × H)
344. #3547	C₂×C₁₉	semidirect
345. #3341	C₂×C₁₉	semidirect
346. #3338	C₂×C₁₉	semidirect
347. #3336	C₂×C₁₉	semidirect
348. #3331	C₂×C₁₉	semidirect
349. #3329	C₂×C₁₉	semidirect
350. #3327	C₂×C₁₉	semidirect
351. D₄×Q₁₆	C₂×C₁₉	semidirect
352. #3285	C₂×C₁₉	semidirect
353. #3283	C₂×C₁₉	semidirect
354. #3252	C₂×C₁₉	semidirect
355. #3201	C₂×C₁₉	semidirect
356. #3170	C₂×C₁₉	semidirect
357. #3168	C₂×C₁₉	semidirect
358. #3061	C₂×C₁₉	semidirect
359. #3059	C₂×C₁₉	semidirect
360. #2931	C₂×C₁₉	semidirect
576. C₁₉	#62325	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×#3547	2
C₁₉×#3341	2
C₁₉×#3338	2
C₁₉×#3336	2
C₁₉×#3331	2
C₁₉×#3329	2
C₁₉×#3327	2
D₄×Q₁₆×C₁₉	2
C₁₉×#3285	2
C₁₉×#3283	2
C₁₉×#3252	2
C₁₉×#3201	2
C₁₉×#3170	2
C₁₉×#3168	2
C₁₉×#3061	2
C₁₉×#3059	2
C₁₉×#2931	2
#62325	19

Subgroups — C19×#62325 #18068284

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62325 #18068284