Subgroups — C₁₉×#62366 #18068325

Order 4864.

1666 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3507	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3400	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3398	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3387	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3385	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3375	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3374	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3372	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3369	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3249	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3248	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3246	C₂	1	1	yes	maximal, characteristic
14	C₁₉×#3181	C₂	1	4	yes	maximal, complemented
15	C₁₉×#3170	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3167	C₂	1	1	yes	maximal, characteristic
17	C₂×C₁₉×#446	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#559	C₂²	1	2	yes	—
19	Q₈²×C₁₉	C₂²	1	2	yes	—
20	Q₈²×C₁₉	C₂²	1	2	yes	—
21	C₁₉×#557	—	2	2	no	—
22	C₁₉×#557	—	2	2	no	—
23	C₁₉×#557	C₂²	1	2	yes	—
24	C₁₉×#557	C₂²	1	2	yes	—
25	C₁₉×#557	C₂²	1	2	yes	—
26	C₁₉×#556	—	2	2	no	—
27	C₁₉×#556	C₂²	1	2	yes	—
28	C₁₉×#554	C₂²	1	2	yes	—
29	C₁₉×#552	—	2	2	no	—
30	C₁₉×#544	—	2	1	no	—
31	C₁₉×#544	—	2	2	no	—
32	C₁₉×#539	—	2	2	no	—
33	C₁₉×#536	—	2	1	no	—
34	C₁₉×#533	C₂²	1	1	yes	characteristic
35	C₁₉×#533	C₂²	1	1	yes	characteristic
36	C₁₉×#533	C₂²	1	1	yes	characteristic
37	C₁₉×#533	C₂²	1	4	yes	—
38	C₁₉×#532	C₂²	1	1	yes	characteristic
39	C₁₉×#529	C₂²	1	4	yes	—
40	C₁₉×#520	—	2	1	no	—
41	C₁₉×#519	—	2	1	no	—
42	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
43	C₁₉×#501	C₂²	1	4	yes	—
44	C₁₉×#500	C₂²	1	1	yes	characteristic
45	C₁₉×#498	C₂²	1	1	yes	characteristic
46	C₁₉×#497	C₂²	1	4	yes	—
47	C₁₉×#494	C₂²	1	1	yes	characteristic
48	C₁₉×#492	C₂²	1	1	yes	characteristic
49	C₁₉×#491	C₂²	1	4	yes	—
50	C₁₉×#489	C₂²	1	4	yes	—
51	C₁₉×#487	C₂²	1	1	yes	characteristic
52	C₁₉×#487	C₂²	1	1	yes	characteristic
53	C₁₉×#487	C₂²	1	1	yes	characteristic
54	C₁₉×#486	C₂²	1	1	yes	characteristic
55	C₁₉×#479	C₂²	1	4	yes	—
56	C₁₉×#479	C₂²	1	4	yes	—
57	C₁₉×#477	C₂²	1	2	yes	—
58	C₁₉×#477	C₂²	1	2	yes	—
59	C₁₉×#476	C₂²	1	2	yes	—
60	C₁₉×#475	C₂²	1	2	yes	—
61	C₁₉×#475	C₂²	1	4	yes	—
62	C₁₉×#474	C₂²	1	4	yes	—
63	C₁₉×#467	C₂²	1	2	yes	—
64	C₁₉×#467	C₂²	1	2	yes	—
65	C₁₉×#467	C₂²	1	4	yes	—
66	C₁₉×#465	C₂²	1	2	yes	—
67	C₁₉×#465	C₂²	1	2	yes	—
68	C₁₉×#465	C₂²	1	4	yes	—
69	C₁₉×#464	C₂²	1	4	yes	—
70	C₁₉×#464	C₂²	1	4	yes	—
71	C₁₉×#462	C₂²	1	4	yes	—
72	C₁₉×#462	C₂²	1	2	yes	—
73	C₁₉×#462	C₂²	1	2	yes	—
74	C₁₉×#461	C₂²	1	2	yes	—
75	C₁₉×#461	C₂²	1	4	yes	—
76	C₁₉×#460	C₂²	1	2	yes	—
77	C₁₉×#446	C₂²	1	2	yes	—
78	C₁₉×#446	C₂²	1	2	yes	—
79	C₁₉×#446	C₂²	1	2	yes	—
80	C₁₉×#446	C₂²	1	2	yes	—
81	C₁₉×#441	C₂²	1	4	yes	—
82	C₁₉×#441	C₂²	1	4	yes	—
83	C₁₉×#440	C₂²	1	4	yes	—
84	C₁₉×#440	C₂²	1	4	yes	—
85	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
86	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
87	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
88	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
89	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
90	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
91	C₂×C₁₉×#97	C₂²	1	2	yes	—
92	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
93	C₂×#41×C₁₉	—	2	1	no	—
94	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
95	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
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	2	yes	—
100	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
101	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
104	C₁₉×C₄⋊Q₈	—	2	2	no	—
105	C₁₉×C₄⋊Q₈	—	2	2	no	—
106	C₁₉×C₄⋊Q₈	—	2	2	no	—
107	C₁₉×C₄⋊Q₈	—	2	4	no	—
108	C₁₉×C₄⋊Q₈	—	2	4	no	—
109	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
110	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
111	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
112	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
113	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
114	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
115	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
116	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
118	C₁₉×#127	C₂³	1	1	yes	characteristic
119	C₁₉×#126	—	2	4	no	—
120	C₁₉×#126	—	2	4	no	—
121	C₁₉×#125	—	2	4	no	—
122	C₁₉×#125	—	2	2	no	—
123	C₁₉×#125	—	2	2	no	—
124	C₁₉×#125	—	2	4	no	—
125	C₁₉×#125	—	2	4	no	—
126	C₁₉×#125	—	2	1	no	—
127	C₁₉×#125	—	2	4	no	—
128	C₁₉×#125	—	2	1	no	—
129	C₁₉×#125	—	2	1	no	—
130	C₁₉×#125	C₂³	1	4	yes	—
131	C₁₉×#124	—	2	2	no	—
132	C₁₉×#124	—	2	1	no	—
133	C₁₉×#124	C₂³	1	4	yes	—
134	C₁₉×#123	—	2	4	no	—
135	C₁₉×#123	—	2	4	no	—
136	C₁₉×C₂²⋊Q₈	—	2	2	no	—
137	C₁₉×C₂²⋊Q₈	—	2	2	no	—
138	C₁₉×C₂²⋊Q₈	—	2	1	no	—
139	C₁₉×C₂²⋊Q₈	—	2	4	no	—
140	C₁₉×C₂²⋊Q₈	—	2	1	no	—
141	C₁₉×C₂²⋊Q₈	—	2	1	no	—
142	C₁₉×C₂²⋊Q₈	—	2	4	no	—
143	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
144	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
145	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
146	C₁₉×#121	—	2	1	no	—
147	C₁₉×#121	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₉	—	2	2	no	—
149	C₄×Q₈×C₁₉	—	2	2	no	—
150	C₄×Q₈×C₁₉	—	2	2	no	—
151	C₄×Q₈×C₁₉	—	2	2	no	—
152	C₄×Q₈×C₁₉	—	2	2	no	—
153	C₄×Q₈×C₁₉	—	2	1	no	—
154	C₄×Q₈×C₁₉	—	2	4	no	—
155	C₄×Q₈×C₁₉	—	2	1	no	—
156	C₄×Q₈×C₁₉	—	2	1	no	—
157	C₄×Q₈×C₁₉	D₄	1	2	yes	—
158	C₄×Q₈×C₁₉	D₄	1	2	yes	—
159	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
160	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
161	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
162	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
163	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
164	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
165	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
166	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
167	C₄×D₄×C₁₉	—	2	4	no	—
168	C₄×D₄×C₁₉	—	2	2	no	—
169	C₄×D₄×C₁₉	—	2	1	no	—
170	C₄×D₄×C₁₉	C₂³	1	2	yes	—
171	C₄×D₄×C₁₉	C₂³	1	4	yes	—
172	C₁₉×#117	—	2	4	no	—
173	C₁₉×#117	—	2	1	no	—
174	C₁₉×#117	—	2	1	no	—
175	C₁₉×#117	—	2	1	no	—
176	C₁₉×#117	—	2	2	no	—
177	C₁₉×#117	—	2	4	no	—
178	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
179	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
181	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
182	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
183	C₁₉×#107	C₂³	1	2	yes	—
184	C₁₉×#107	C₂³	1	2	yes	—
185	C₁₉×#107	C₂³	1	4	yes	—
186	C₁₉×#106	C₂³	1	2	yes	—
187	C₁₉×#106	C₂³	1	2	yes	—
188	C₁₉×#106	C₂³	1	4	yes	—
189	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
190	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
191	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
192	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
193	C₁₉×#103	C₂³	1	2	yes	—
194	C₁₉×#103	C₂³	1	2	yes	—
195	C₁₉×#103	C₂³	1	2	yes	—
196	C₁₉×#103	C₂³	1	2	yes	—
197	C₁₉×#103	C₂³	1	2	yes	—
198	C₁₉×#103	C₂³	1	2	yes	—
199	C₁₉×#103	C₂³	1	4	yes	—
200	C₁₉×#103	C₂³	1	4	yes	—
201	C₁₉×#103	C₂³	1	4	yes	—
202	C₁₉×#102	C₂³	1	2	yes	—
203	C₁₉×#102	C₂³	1	2	yes	—
204	C₁₉×#102	C₂³	1	4	yes	—
205	C₁₉×#97	C₂³	1	4	yes	—
206	C₁₉×#97	C₂³	1	4	yes	—
207	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
208	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
209	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
210	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
211	#41×C₁₉	—	4	4	no	—
212	C₂×Q₈×C₁₉	—	2	4	no	—
213	C₂×Q₈×C₁₉	—	2	1	no	—
214	C₂×Q₈×C₁₉	—	2	1	no	—
215	C₂×Q₈×C₁₉	—	2	4	no	—
216	C₂×Q₈×C₁₉	—	2	1	no	—
217	C₂×Q₈×C₁₉	—	2	1	no	—
218	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
219	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
220	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
221	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
222	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
223	C₂×D₄×C₁₉	—	2	2	no	—
224	C₂×D₄×C₁₉	—	2	1	no	—
225	C₂×D₄×C₁₉	—	2	1	no	—
226	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
227	C₂²×C₄×C₁₉	—	2	2	no	—
228	C₂²×C₄×C₁₉	—	2	4	no	—
229	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
230	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
231	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
232	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
233	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
234	Q₁₆×C₁₉	—	2	4	no	—
235	Q₁₆×C₁₉	—	4	4	no	—
236	Q₁₆×C₁₉	—	4	2	no	—
237	SD₁₆×C₁₉	—	2	4	no	—
238	SD₁₆×C₁₉	—	4	2	no	—
239	SD₁₆×C₁₉	—	4	4	no	—
240	C₂×C₈×C₁₉	—	2	2	no	—
241	C₂×C₈×C₁₉	—	4	1	no	—
242	C₂×C₈×C₁₉	—	4	2	no	—
243	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
244	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
245	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
246	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
247	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
248	C₄⋊C₄×C₁₉	—	2	1	no	—
249	C₄⋊C₄×C₁₉	—	2	4	no	—
250	C₄⋊C₄×C₁₉	—	2	1	no	—
251	C₄⋊C₄×C₁₉	—	2	2	no	—
252	C₄⋊C₄×C₁₉	—	2	4	no	—
253	C₄⋊C₄×C₁₉	—	2	1	no	—
254	C₄⋊C₄×C₁₉	—	2	1	no	—
255	C₄⋊C₄×C₁₉	—	2	4	no	—
256	C₄⋊C₄×C₁₉	—	2	1	no	—
257	C₄⋊C₄×C₁₉	—	2	1	no	—
258	C₄⋊C₄×C₁₉	—	2	4	no	—
259	C₄⋊C₄×C₁₉	—	2	1	no	—
260	C₄⋊C₄×C₁₉	—	2	2	no	—
261	C₄⋊C₄×C₁₉	—	2	2	no	—
262	C₄⋊C₄×C₁₉	—	2	4	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	2	no	—
267	C₄⋊C₄×C₁₉	—	2	4	no	—
268	C₄⋊C₄×C₁₉	—	2	4	no	—
269	C₄⋊C₄×C₁₉	—	2	4	no	—
270	C₄⋊C₄×C₁₉	—	2	2	no	—
271	C₄⋊C₄×C₁₉	—	2	2	no	—
272	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
273	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
274	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
275	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
276	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
277	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
278	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
279	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
280	C₂²⋊C₄×C₁₉	—	2	2	no	—
281	C₂²⋊C₄×C₁₉	—	2	2	no	—
282	C₂²⋊C₄×C₁₉	—	2	2	no	—
283	C₂²⋊C₄×C₁₉	—	2	2	no	—
284	C₂²⋊C₄×C₁₉	—	2	4	no	—
285	C₂²⋊C₄×C₁₉	—	2	4	no	—
286	C₂²⋊C₄×C₁₉	—	2	2	no	—
287	C₂²⋊C₄×C₁₉	—	2	4	no	—
288	C₄²×C₁₉	—	2	4	no	—
289	C₄²×C₁₉	—	2	2	no	—
290	C₄²×C₁₉	—	2	4	no	—
291	C₄²×C₁₉	—	2	4	no	—
292	C₄²×C₁₉	—	2	2	no	—
293	C₄²×C₁₉	—	2	2	no	—
294	C₄²×C₁₉	C₂×D₄	1	4	yes	—
295	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
296	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
297	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
298	C₄²×C₁₉	C₂⁴	1	4	yes	—
299	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
300	#62366	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
301	C₂³×C₁₉	—	2	2	no	—
302	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
303	Q₈×C₁₉	—	2	4	no	—
304	Q₈×C₁₉	—	2	4	no	—
305	Q₈×C₁₉	—	2	2	no	—
306	Q₈×C₁₉	—	2	2	no	—
307	Q₈×C₁₉	—	2	2	no	—
308	Q₈×C₁₉	—	2	2	no	—
309	Q₈×C₁₉	—	2	2	no	—
310	Q₈×C₁₉	—	2	2	no	—
311	Q₈×C₁₉	—	4	2	no	—
312	Q₈×C₁₉	—	8	4	no	—
313	Q₈×C₁₉	—	8	1	no	—
314	Q₈×C₁₉	—	8	1	no	—
315	Q₈×C₁₉	—	8	1	no	—
316	D₄×C₁₉	—	2	2	no	—
317	D₄×C₁₉	—	2	2	no	—
318	D₄×C₁₉	—	4	4	no	—
319	D₄×C₁₉	—	4	2	no	—
320	D₄×C₁₉	—	8	1	no	—
321	C₂×C₄×C₁₉	—	2	4	no	—
322	C₂×C₄×C₁₉	—	2	1	no	—
323	C₂×C₄×C₁₉	—	2	1	no	—
324	C₂×C₄×C₁₉	—	2	2	no	—
325	C₂×C₄×C₁₉	—	2	2	no	—
326	C₂×C₄×C₁₉	—	2	2	no	—
327	C₂×C₄×C₁₉	—	2	2	no	—
328	C₂×C₄×C₁₉	—	2	2	no	—
329	C₂×C₄×C₁₉	—	2	2	no	—
330	C₂×C₄×C₁₉	—	2	2	no	—
331	C₂×C₄×C₁₉	—	4	2	no	—
332	C₂×C₄×C₁₉	—	4	1	no	—
333	C₂×C₄×C₁₉	—	4	4	no	—
334	C₂×C₄×C₁₉	—	8	4	no	—
335	C₂×C₄×C₁₉	#137	1	4	yes	—
336	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
337	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
338	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
343	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
344	C₈×C₁₉	—	2	1	no	—
345	C₈×C₁₉	—	2	1	no	—
346	C₈×C₁₉	—	2	4	no	—
347	C₈×C₁₉	—	2	1	no	—
348	C₈×C₁₉	2₋¹⁺⁴	1	2	yes	—
349	#3507	C₂×C₁₉	1	1	yes	characteristic
350	#3502	C₂×C₁₉	1	1	yes	characteristic, complemented
351	#3400	C₂×C₁₉	1	2	yes	complemented
352	#3398	C₂×C₁₉	1	2	yes	complemented
353	#3387	C₂×C₁₉	1	2	yes	complemented
354	#3385	C₂×C₁₉	1	2	yes	complemented
355	#3375	C₂×C₁₉	1	2	yes	complemented
356	#3374	C₂×C₁₉	1	2	yes	complemented
357	#3372	C₂×C₁₉	1	2	yes	complemented
358	#3369	C₂×C₁₉	1	2	yes	complemented
359	#3249	C₂×C₁₉	1	1	yes	characteristic, complemented
360	#3248	C₂×C₁₉	1	4	yes	complemented
361	#3246	C₂×C₁₉	1	1	yes	characteristic
362	#3181	C₂×C₁₉	1	4	yes	complemented
363	#3170	C₂×C₁₉	1	1	yes	characteristic, complemented
364	#3167	C₂×C₁₉	1	1	yes	characteristic
365	C₂×#446	C₂×C₁₉	1	1	yes	characteristic, complemented
366	C₂²×C₁₉	—	2	1	no	—
367	C₂²×C₁₉	—	2	1	no	—
368	C₂²×C₁₉	—	4	2	no	—
369	C₂²×C₁₉	—	4	2	no	—
370	C₂²×C₁₉	—	4	2	no	—
371	C₂²×C₁₉	C₂×#137	1	2	yes	—
372	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
373	C₄×C₁₉	—	2	4	no	—
374	C₄×C₁₉	—	2	1	no	—
375	C₄×C₁₉	—	2	1	no	—
376	C₄×C₁₉	—	2	1	no	—
377	C₄×C₁₉	—	2	4	no	—
378	C₄×C₁₉	—	4	2	no	—
379	C₄×C₁₉	—	4	2	no	—
380	C₄×C₁₉	—	4	2	no	—
381	C₄×C₁₉	—	4	2	no	—
382	C₄×C₁₉	—	4	2	no	—
383	C₄×C₁₉	—	4	2	no	—
384	C₄×C₁₉	—	4	2	no	—
385	C₄×C₁₉	C₂×#137	1	2	yes	—
386	C₄×C₁₉	C₂×#137	1	2	yes	—
387	C₄×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
388	C₄×C₁₉	#585	1	1	yes	characteristic
389	#559	C₂²×C₁₉	1	2	yes	—
390	Q₈²	C₂²×C₁₉	1	2	yes	—
391	Q₈²	C₂²×C₁₉	1	2	yes	—
392	#557	—	2	2	no	—
393	#557	—	2	2	no	—
394	#557	C₂²×C₁₉	1	2	yes	—
395	#557	C₂²×C₁₉	1	2	yes	—
396	#557	C₂²×C₁₉	1	2	yes	—
397	#556	—	2	2	no	—
398	#556	C₂²×C₁₉	1	2	yes	—
399	#554	C₂²×C₁₉	1	2	yes	—
400	#552	—	2	2	no	—
401	#544	—	2	1	no	—
402	#544	—	2	2	no	—
403	#539	—	2	2	no	—
404	#536	—	2	1	no	—
405	#533	C₂²×C₁₉	1	1	yes	characteristic
406	#533	C₂²×C₁₉	1	1	yes	characteristic
407	#533	C₂²×C₁₉	1	1	yes	characteristic
408	#533	C₂²×C₁₉	1	4	yes	—
409	#532	C₂²×C₁₉	1	1	yes	characteristic
410	#529	C₂²×C₁₉	1	4	yes	—
411	#520	—	2	1	no	—
412	#519	—	2	1	no	—
413	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
414	#501	C₂²×C₁₉	1	4	yes	—
415	#500	C₂²×C₁₉	1	1	yes	characteristic
416	#498	C₂²×C₁₉	1	1	yes	characteristic
417	#497	C₂²×C₁₉	1	4	yes	—
418	#494	C₂²×C₁₉	1	1	yes	characteristic
419	#492	C₂²×C₁₉	1	1	yes	characteristic
420	#491	C₂²×C₁₉	1	4	yes	—
421	#489	C₂²×C₁₉	1	4	yes	—
422	#487	C₂²×C₁₉	1	1	yes	characteristic
423	#487	C₂²×C₁₉	1	1	yes	characteristic
424	#487	C₂²×C₁₉	1	1	yes	characteristic
425	#486	C₂²×C₁₉	1	1	yes	characteristic
426	#479	C₂²×C₁₉	1	4	yes	—
427	#479	C₂²×C₁₉	1	4	yes	—
428	#477	C₂²×C₁₉	1	2	yes	—
429	#477	C₂²×C₁₉	1	2	yes	—
430	#476	C₂²×C₁₉	1	2	yes	—
431	#475	C₂²×C₁₉	1	4	yes	—
432	#475	C₂²×C₁₉	1	2	yes	—
433	#474	C₂²×C₁₉	1	4	yes	—
434	#467	C₂²×C₁₉	1	2	yes	—
435	#467	C₂²×C₁₉	1	2	yes	—
436	#467	C₂²×C₁₉	1	4	yes	—
437	#465	C₂²×C₁₉	1	2	yes	—
438	#465	C₂²×C₁₉	1	2	yes	—
439	#465	C₂²×C₁₉	1	4	yes	—
440	#464	C₂²×C₁₉	1	4	yes	—
441	#464	C₂²×C₁₉	1	4	yes	—
442	#462	C₂²×C₁₉	1	2	yes	—
443	#462	C₂²×C₁₉	1	4	yes	—
444	#462	C₂²×C₁₉	1	2	yes	—
445	#461	C₂²×C₁₉	1	2	yes	—
446	#461	C₂²×C₁₉	1	4	yes	—
447	#460	C₂²×C₁₉	1	2	yes	—
448	#446	C₂²×C₁₉	1	2	yes	—
449	#446	C₂²×C₁₉	1	2	yes	—
450	#446	C₂²×C₁₉	1	2	yes	—
451	#446	C₂²×C₁₉	1	2	yes	—
452	#441	C₂²×C₁₉	1	4	yes	—
453	#441	C₂²×C₁₉	1	4	yes	—
454	#440	C₂²×C₁₉	1	4	yes	—
455	#440	C₂²×C₁₉	1	4	yes	—
456	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
457	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
458	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
459	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
460	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
461	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
462	C₂×#97	C₂²×C₁₉	1	2	yes	—
463	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
464	C₂×C₁₉	—	2	2	no	—
465	C₂×C₁₉	—	8	2	no	—
466	C₂×C₁₉	#3497	1	1	yes	characteristic
467	C₂×C₁₉	C₂²×#137	1	1	yes	characteristic
468	C₂×C₁₉	#3584	1	1	yes	characteristic
469	C₂×#41	—	2	1	no	—
470	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
471	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
472	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
473	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
474	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
475	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
476	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
477	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
478	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
479	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
480	C₄⋊Q₈	—	2	2	no	—
481	C₄⋊Q₈	—	2	2	no	—
482	C₄⋊Q₈	—	2	2	no	—
483	C₄⋊Q₈	—	2	4	no	—
484	C₄⋊Q₈	—	2	4	no	—
485	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
486	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
487	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
488	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
489	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
490	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
491	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
492	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
493	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
494	#127	C₂³×C₁₉	1	1	yes	characteristic
495	#126	—	2	4	no	—
496	#126	—	2	4	no	—
497	#125	—	2	4	no	—
498	#125	—	2	2	no	—
499	#125	—	2	2	no	—
500	#125	—	2	4	no	—
501	#125	—	2	4	no	—
502	#125	—	2	1	no	—
503	#125	—	2	4	no	—
504	#125	—	2	1	no	—
505	#125	—	2	1	no	—
506	#125	C₂³×C₁₉	1	4	yes	—
507	#124	—	2	2	no	—
508	#124	—	2	1	no	—
509	#124	C₂³×C₁₉	1	4	yes	—
510	#123	—	2	4	no	—
511	#123	—	2	4	no	—
512	C₂²⋊Q₈	—	2	2	no	—
513	C₂²⋊Q₈	—	2	2	no	—
514	C₂²⋊Q₈	—	2	1	no	—
515	C₂²⋊Q₈	—	2	4	no	—
516	C₂²⋊Q₈	—	2	1	no	—
517	C₂²⋊Q₈	—	2	1	no	—
518	C₂²⋊Q₈	—	2	4	no	—
519	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
520	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
521	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
522	#121	—	2	1	no	—
523	#121	C₂³×C₁₉	1	2	yes	—
524	C₄×Q₈	—	2	2	no	—
525	C₄×Q₈	—	2	2	no	—
526	C₄×Q₈	—	2	2	no	—
527	C₄×Q₈	—	2	2	no	—
528	C₄×Q₈	—	2	2	no	—
529	C₄×Q₈	—	2	1	no	—
530	C₄×Q₈	—	2	4	no	—
531	C₄×Q₈	—	2	1	no	—
532	C₄×Q₈	—	2	1	no	—
533	C₄×Q₈	D₄×C₁₉	1	2	yes	—
534	C₄×Q₈	D₄×C₁₉	1	2	yes	—
535	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
536	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
537	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
538	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
539	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
540	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
541	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
542	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
543	C₄×D₄	—	2	4	no	—
544	C₄×D₄	—	2	2	no	—
545	C₄×D₄	—	2	1	no	—
546	C₄×D₄	C₂³×C₁₉	1	4	yes	—
547	C₄×D₄	C₂³×C₁₉	1	2	yes	—
548	#117	—	2	4	no	—
549	#117	—	2	1	no	—
550	#117	—	2	1	no	—
551	#117	—	2	1	no	—
552	#117	—	2	2	no	—
553	#117	—	2	4	no	—
554	C₂×C₄⋊C₄	—	2	2	no	—
555	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
556	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
557	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
558	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
559	#107	C₂³×C₁₉	1	2	yes	—
560	#107	C₂³×C₁₉	1	2	yes	—
561	#107	C₂³×C₁₉	1	4	yes	—
562	#106	C₂³×C₁₉	1	2	yes	—
563	#106	C₂³×C₁₉	1	2	yes	—
564	#106	C₂³×C₁₉	1	4	yes	—
565	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
566	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
567	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
568	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
569	#103	C₂³×C₁₉	1	2	yes	—
570	#103	C₂³×C₁₉	1	2	yes	—
571	#103	C₂³×C₁₉	1	2	yes	—
572	#103	C₂³×C₁₉	1	2	yes	—
573	#103	C₂³×C₁₉	1	2	yes	—
574	#103	C₂³×C₁₉	1	2	yes	—
575	#103	C₂³×C₁₉	1	4	yes	—
576	#103	C₂³×C₁₉	1	4	yes	—
577	#103	C₂³×C₁₉	1	4	yes	—
578	#102	C₂³×C₁₉	1	2	yes	—
579	#102	C₂³×C₁₉	1	2	yes	—
580	#102	C₂³×C₁₉	1	4	yes	—
581	#97	C₂³×C₁₉	1	4	yes	—
582	#97	C₂³×C₁₉	1	4	yes	—
583	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
584	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
585	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
586	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
587	C₁₉	#62366	1	1	yes	characteristic, direct product factor, Sylow
588	#41	—	4	4	no	—
589	C₂×Q₈	—	2	4	no	—
590	C₂×Q₈	—	2	1	no	—
591	C₂×Q₈	—	2	1	no	—
592	C₂×Q₈	—	2	4	no	—
593	C₂×Q₈	—	2	1	no	—
594	C₂×Q₈	—	2	1	no	—
595	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
596	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
597	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
598	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
599	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
600	C₂×D₄	—	2	2	no	—
601	C₂×D₄	—	2	1	no	—
602	C₂×D₄	—	2	1	no	—
603	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
604	C₂²×C₄	—	2	2	no	—
605	C₂²×C₄	—	2	4	no	—
606	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
607	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
608	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
609	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
610	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
611	Q₁₆	—	2	4	no	—
612	Q₁₆	—	4	4	no	—
613	Q₁₆	—	4	2	no	—
614	SD₁₆	—	2	4	no	—
615	SD₁₆	—	4	2	no	—
616	SD₁₆	—	4	4	no	—
617	C₂×C₈	—	2	2	no	—
618	C₂×C₈	—	4	1	no	—
619	C₂×C₈	—	4	2	no	—
620	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
621	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
622	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
623	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
624	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
625	C₄⋊C₄	—	2	1	no	—
626	C₄⋊C₄	—	2	4	no	—
627	C₄⋊C₄	—	2	1	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	2	4	no	—
630	C₄⋊C₄	—	2	1	no	—
631	C₄⋊C₄	—	2	1	no	—
632	C₄⋊C₄	—	2	4	no	—
633	C₄⋊C₄	—	2	1	no	—
634	C₄⋊C₄	—	2	1	no	—
635	C₄⋊C₄	—	2	4	no	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	2	no	—
638	C₄⋊C₄	—	2	2	no	—
639	C₄⋊C₄	—	2	4	no	—
640	C₄⋊C₄	—	2	1	no	—
641	C₄⋊C₄	—	2	1	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	2	no	—
644	C₄⋊C₄	—	2	4	no	—
645	C₄⋊C₄	—	2	4	no	—
646	C₄⋊C₄	—	2	4	no	—
647	C₄⋊C₄	—	2	2	no	—
648	C₄⋊C₄	—	2	2	no	—
649	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
650	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
651	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
652	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
653	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
654	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
655	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
656	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
657	C₂²⋊C₄	—	2	2	no	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	4	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	4	no	—
665	C₄²	—	2	4	no	—
666	C₄²	—	2	2	no	—
667	C₄²	—	2	4	no	—
668	C₄²	—	2	4	no	—
669	C₄²	—	2	2	no	—
670	C₄²	—	2	2	no	—
671	C₄²	C₂×D₄×C₁₉	1	4	yes	—
672	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
673	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
674	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
675	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
676	C₄²	C₂⁴×C₁₉	1	4	yes	—
677	C₂³	—	2	2	no	—
678	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
679	Q₈	—	2	4	no	—
680	Q₈	—	2	4	no	—
681	Q₈	—	2	2	no	—
682	Q₈	—	2	2	no	—
683	Q₈	—	2	2	no	—
684	Q₈	—	2	2	no	—
685	Q₈	—	2	2	no	—
686	Q₈	—	2	2	no	—
687	Q₈	—	4	2	no	—
688	Q₈	—	8	4	no	—
689	Q₈	—	8	1	no	—
690	Q₈	—	8	1	no	—
691	Q₈	—	8	1	no	—
692	D₄	—	2	2	no	—
693	D₄	—	2	2	no	—
694	D₄	—	4	4	no	—
695	D₄	—	4	2	no	—
696	D₄	—	8	1	no	—
697	C₂×C₄	—	2	4	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	4	2	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	4	no	—
710	C₂×C₄	—	8	4	no	—
711	C₂×C₄	C₁₉×#137	1	4	yes	—
712	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
713	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
714	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
715	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
716	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
717	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
718	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
719	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
720	C₈	—	2	1	no	—
721	C₈	—	2	1	no	—
722	C₈	—	2	4	no	—
723	C₈	—	2	1	no	—
724	C₈	C₁₉×2₋¹⁺⁴	1	2	yes	—
725	C₂²	—	2	1	no	—
726	C₂²	—	2	1	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	4	2	no	—
729	C₂²	—	4	2	no	—
730	C₂²	C₂×C₁₉×#137	1	2	yes	—
731	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
732	C₄	—	2	1	no	—
733	C₄	—	2	4	no	—
734	C₄	—	2	4	no	—
735	C₄	—	2	1	no	—
736	C₄	—	2	1	no	—
737	C₄	—	4	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	—	4	2	no	—
741	C₄	—	4	2	no	—
742	C₄	—	4	2	no	—
743	C₄	—	4	2	no	—
744	C₄	C₂×C₁₉×#137	1	2	yes	—
745	C₄	C₂×C₁₉×#137	1	2	yes	—
746	C₄	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
747	C₄	C₁₉×#585	1	1	yes	characteristic
748	C₂	—	2	2	no	—
749	C₂	—	8	2	no	—
750	C₂	C₁₉×#3497	1	1	yes	characteristic
751	C₂	C₂²×C₁₉×#137	1	1	yes	characteristic
752	C₂	C₁₉×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#532	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄×Q₈×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3502	C₂	semidirect
3. C₁₉×#3400	C₂	semidirect
4. C₁₉×#3398	C₂	semidirect
5. C₁₉×#3387	C₂	semidirect
6. C₁₉×#3385	C₂	semidirect
7. C₁₉×#3375	C₂	semidirect
8. C₁₉×#3374	C₂	semidirect
9. C₁₉×#3372	C₂	semidirect
10. C₁₉×#3369	C₂	semidirect
11. C₁₉×#3249	C₂	semidirect
12. C₁₉×#3248	C₂	semidirect
14. C₁₉×#3181	C₂	semidirect
15. C₁₉×#3170	C₂	semidirect
17. C₂×C₁₉×#446	C₂	semidirect
300. #62366	C₁₉	direct (N × H)
350. #3502	C₂×C₁₉	semidirect
351. #3400	C₂×C₁₉	semidirect
352. #3398	C₂×C₁₉	semidirect
353. #3387	C₂×C₁₉	semidirect
354. #3385	C₂×C₁₉	semidirect
355. #3375	C₂×C₁₉	semidirect
356. #3374	C₂×C₁₉	semidirect
357. #3372	C₂×C₁₉	semidirect
358. #3369	C₂×C₁₉	semidirect
359. #3249	C₂×C₁₉	semidirect
360. #3248	C₂×C₁₉	semidirect
362. #3181	C₂×C₁₉	semidirect
363. #3170	C₂×C₁₉	semidirect
365. C₂×#446	C₂×C₁₉	semidirect
587. C₁₉	#62366	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×#3507	2
C₁₉×#3502	2
C₁₉×#3400	2
C₁₉×#3398	2
C₁₉×#3387	2
C₁₉×#3385	2
C₁₉×#3375	2
C₁₉×#3374	2
C₁₉×#3372	2
C₁₉×#3369	2
C₁₉×#3249	2
C₁₉×#3248	2
C₁₉×#3246	2
C₁₉×#3181	2
C₁₉×#3170	2
C₁₉×#3167	2
C₂×C₁₉×#446	2
#62366	19

Subgroups — C19×#62366 #18068325

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62366 #18068325