Subgroups — C₁₉×#62382 #18068341

Order 4864.

1644 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3556	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3550	C₂	1	1	yes	maximal, characteristic
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×#3386	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3365	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3364	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3363	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3359	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3258	C₂	1	4	yes	maximal, complemented
12	C₁₉×#3255	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3254	C₂	1	1	yes	maximal, characteristic
14	C₁₉×#3178	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	C₁₉×#2960	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#564	—	2	2	no	—
19	C₁₉×#563	—	2	2	no	—
20	C₁₉×#559	C₂²	1	2	yes	—
21	Q₈²×C₁₉	C₂²	1	2	yes	—
22	C₁₉×#557	—	2	1	no	—
23	C₁₉×#557	—	2	1	no	—
24	C₁₉×#557	C₂²	1	2	yes	—
25	C₁₉×#557	C₂²	1	2	yes	—
26	C₁₉×#557	C₂²	1	2	yes	—
27	C₁₉×#557	C₂²	1	2	yes	—
28	C₁₉×#556	—	2	1	no	—
29	C₁₉×#556	C₂²	1	2	yes	—
30	D₄×Q₈×C₁₉	—	2	1	no	—
31	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
32	C₁₉×#542	—	2	2	no	—
33	C₁₉×#542	C₂²	1	4	yes	—
34	C₁₉×#541	—	2	2	no	—
35	C₁₉×#541	—	2	2	no	—
36	C₁₉×#541	C₂²	1	4	yes	—
37	C₁₉×#536	—	2	2	no	—
38	C₁₉×#533	C₂²	1	1	yes	characteristic
39	C₁₉×#533	C₂²	1	1	yes	characteristic
40	C₁₉×#533	C₂²	1	1	yes	characteristic
41	C₁₉×#533	C₂²	1	1	yes	characteristic
42	C₁₉×#532	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×#488	C₂²	1	4	yes	—
50	C₁₉×#487	C₂²	1	1	yes	characteristic
51	C₁₉×#487	C₂²	1	1	yes	characteristic
52	C₁₉×#487	C₂²	1	1	yes	characteristic
53	C₁₉×#487	C₂²	1	4	yes	—
54	C₁₉×#486	C₂²	1	1	yes	characteristic
55	C₁₉×#479	C₂²	1	4	yes	—
56	C₁₉×#478	C₂²	1	4	yes	—
57	C₁₉×#477	C₂²	1	2	yes	—
58	C₁₉×#477	C₂²	1	4	yes	—
59	C₁₉×#475	C₂²	1	2	yes	—
60	C₁₉×#475	C₂²	1	2	yes	—
61	C₁₉×#475	C₂²	1	4	yes	—
62	C₁₉×#474	C₂²	1	2	yes	—
63	C₁₉×#470	C₂²	1	4	yes	—
64	C₁₉×#468	C₂²	1	4	yes	—
65	C₁₉×#467	C₂²	1	2	yes	—
66	C₁₉×#467	C₂²	1	2	yes	—
67	C₁₉×#465	C₂²	1	2	yes	—
68	C₁₉×#465	C₂²	1	2	yes	—
69	C₁₉×#464	C₂²	1	4	yes	—
70	C₁₉×#464	C₂²	1	4	yes	—
71	C₁₉×#462	C₂²	1	2	yes	—
72	C₁₉×#462	C₂²	1	2	yes	—
73	C₁₉×#462	C₂²	1	4	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	C₈×Q₈×C₁₉	C₂²	1	2	yes	—
80	C₈×Q₈×C₁₉	C₂²	1	2	yes	—
81	C₁₉×#441	C₂²	1	4	yes	—
82	C₁₉×#440	C₂²	1	4	yes	—
83	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
84	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
85	C₄×Q₁₆×C₁₉	C₂²	1	4	yes	—
86	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
87	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
88	C₄×SD₁₆×C₁₉	C₂²	1	4	yes	—
89	C₁₉×#424	C₂²	1	2	yes	—
90	C₁₉×#423	C₂²	1	1	yes	characteristic
91	C₁₉×#405	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	—	2	2	no	—
95	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
96	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	—
97	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
98	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
99	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
100	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
101	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
102	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
104	C₁₉×C₄⋊Q₈	—	2	2	no	—
105	C₁₉×C₄⋊Q₈	—	2	2	no	—
106	C₁₉×C₄⋊Q₈	—	2	4	no	—
107	C₁₉×C₄⋊Q₈	—	2	2	no	—
108	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
109	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
110	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
111	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
112	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
113	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	4	yes	—
118	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
119	C₁₉×#127	C₂³	1	1	yes	characteristic
120	C₁₉×#126	—	2	4	no	—
121	C₁₉×#126	—	2	4	no	—
122	C₁₉×#126	—	2	4	no	—
123	C₁₉×#126	—	2	4	no	—
124	C₁₉×#125	—	2	2	no	—
125	C₁₉×#125	—	2	2	no	—
126	C₁₉×#125	—	2	4	no	—
127	C₁₉×#125	—	2	4	no	—
128	C₁₉×#125	—	2	4	no	—
129	C₁₉×#125	—	2	4	no	—
130	C₁₉×#125	—	2	4	no	—
131	C₁₉×#125	—	2	4	no	—
132	C₁₉×#125	—	2	1	no	—
133	C₁₉×#125	—	2	1	no	—
134	C₁₉×#125	—	2	1	no	—
135	C₁₉×#125	D₄	1	2	yes	—
136	C₁₉×#125	C₂³	1	4	yes	—
137	C₁₉×#124	—	2	2	no	—
138	C₁₉×#124	—	2	4	no	—
139	C₁₉×#124	—	2	1	no	—
140	C₁₉×#124	C₂³	1	4	yes	—
141	C₁₉×#123	—	2	4	no	—
142	C₁₉×#123	—	2	4	no	—
143	C₁₉×C₂²⋊Q₈	—	2	2	no	—
144	C₁₉×C₂²⋊Q₈	—	2	1	no	—
145	C₁₉×C₂²⋊Q₈	—	2	1	no	—
146	C₁₉×C₂²⋊Q₈	—	2	1	no	—
147	C₁₉×C₂²⋊Q₈	—	2	2	no	—
148	C₁₉×C₂²⋊Q₈	—	2	4	no	—
149	C₁₉×C₂²⋊Q₈	—	2	4	no	—
150	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
151	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
152	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
153	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
154	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
155	C₁₉×#121	—	2	1	no	—
156	C₁₉×#121	C₂³	1	2	yes	—
157	C₄×Q₈×C₁₉	—	2	2	no	—
158	C₄×Q₈×C₁₉	—	2	2	no	—
159	C₄×Q₈×C₁₉	—	2	2	no	—
160	C₄×Q₈×C₁₉	—	2	2	no	—
161	C₄×Q₈×C₁₉	—	2	2	no	—
162	C₄×Q₈×C₁₉	—	2	1	no	—
163	C₄×Q₈×C₁₉	—	2	1	no	—
164	C₄×Q₈×C₁₉	—	2	1	no	—
165	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
166	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
167	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
168	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
169	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
170	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
171	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
172	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
173	C₄×D₄×C₁₉	—	2	2	no	—
174	C₄×D₄×C₁₉	—	2	1	no	—
175	C₄×D₄×C₁₉	C₂³	1	2	yes	—
176	C₄×D₄×C₁₉	C₂³	1	4	yes	—
177	C₁₉×#117	—	2	1	no	—
178	C₁₉×#117	—	2	1	no	—
179	C₁₉×#117	—	2	1	no	—
180	C₁₉×#117	—	2	2	no	—
181	C₁₉×#117	C₂³	1	2	yes	—
182	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
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	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
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	4	yes	—
211	#41×C₁₉	—	8	2	no	—
212	C₂×Q₈×C₁₉	—	2	1	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	—	8	4	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	1	yes	characteristic
230	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
231	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
232	Q₁₆×C₁₉	—	2	4	no	—
233	Q₁₆×C₁₉	—	4	2	no	—
234	Q₁₆×C₁₉	—	4	4	no	—
235	SD₁₆×C₁₉	—	2	4	no	—
236	SD₁₆×C₁₉	—	4	2	no	—
237	SD₁₆×C₁₉	—	4	4	no	—
238	M₁₆×C₁₉	—	4	2	no	—
239	C₂×C₈×C₁₉	—	2	2	no	—
240	C₂×C₈×C₁₉	—	4	1	no	—
241	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
242	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	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	2	no	—
257	C₄⋊C₄×C₁₉	—	2	4	no	—
258	C₄⋊C₄×C₁₉	—	2	2	no	—
259	C₄⋊C₄×C₁₉	—	2	2	no	—
260	C₄⋊C₄×C₁₉	—	2	4	no	—
261	C₄⋊C₄×C₁₉	—	2	4	no	—
262	C₄⋊C₄×C₁₉	—	2	4	no	—
263	C₄⋊C₄×C₁₉	—	2	4	no	—
264	C₄⋊C₄×C₁₉	—	2	4	no	—
265	C₄⋊C₄×C₁₉	—	2	2	no	—
266	C₄⋊C₄×C₁₉	—	2	2	no	—
267	C₄⋊C₄×C₁₉	—	2	2	no	—
268	C₄⋊C₄×C₁₉	—	2	4	no	—
269	C₄⋊C₄×C₁₉	—	2	4	no	—
270	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
271	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
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	4	no	—
284	C₂²⋊C₄×C₁₉	—	2	2	no	—
285	C₂²⋊C₄×C₁₉	—	2	4	no	—
286	C₂²⋊C₄×C₁₉	—	2	2	no	—
287	C₂²⋊C₄×C₁₉	—	2	4	no	—
288	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
289	C₄²×C₁₉	—	2	2	no	—
290	C₄²×C₁₉	—	2	2	no	—
291	C₄²×C₁₉	—	2	2	no	—
292	C₄²×C₁₉	—	2	4	no	—
293	C₄²×C₁₉	—	2	4	no	—
294	C₄²×C₁₉	—	2	4	no	—
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	1	yes	characteristic
299	C₄²×C₁₉	C₂⁴	1	4	yes	—
300	#62382	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	—	4	2	no	—
313	Q₈×C₁₉	—	4	2	no	—
314	Q₈×C₁₉	—	8	4	no	—
315	Q₈×C₁₉	—	8	1	no	—
316	D₄×C₁₉	—	2	2	no	—
317	D₄×C₁₉	—	2	2	no	—
318	D₄×C₁₉	—	4	2	no	—
319	D₄×C₁₉	—	8	1	no	—
320	D₄×C₁₉	—	8	2	no	—
321	C₂×C₄×C₁₉	—	2	2	no	—
322	C₂×C₄×C₁₉	—	2	2	no	—
323	C₂×C₄×C₁₉	—	2	1	no	—
324	C₂×C₄×C₁₉	—	2	1	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	—	2	2	no	—
332	C₂×C₄×C₁₉	—	4	4	no	—
333	C₂×C₄×C₁₉	—	8	4	no	—
334	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
335	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
336	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
342	C₈×C₁₉	—	2	1	no	—
343	C₈×C₁₉	—	2	1	no	—
344	C₈×C₁₉	—	2	1	no	—
345	C₈×C₁₉	—	2	4	no	—
346	C₈×C₁₉	2₋¹⁺⁴	1	2	yes	—
347	#3556	C₂×C₁₉	1	1	yes	characteristic, complemented
348	#3550	C₂×C₁₉	1	1	yes	characteristic
349	#3400	C₂×C₁₉	1	2	yes	complemented
350	#3398	C₂×C₁₉	1	2	yes	complemented
351	#3387	C₂×C₁₉	1	2	yes	complemented
352	#3386	C₂×C₁₉	1	2	yes	complemented
353	#3365	C₂×C₁₉	1	2	yes	complemented
354	#3364	C₂×C₁₉	1	2	yes	complemented
355	#3363	C₂×C₁₉	1	2	yes	complemented
356	#3359	C₂×C₁₉	1	2	yes	complemented
357	#3258	C₂×C₁₉	1	4	yes	complemented
358	#3255	C₂×C₁₉	1	1	yes	characteristic, complemented
359	#3254	C₂×C₁₉	1	1	yes	characteristic
360	#3178	C₂×C₁₉	1	4	yes	complemented
361	#3170	C₂×C₁₉	1	1	yes	characteristic, complemented
362	#3167	C₂×C₁₉	1	1	yes	characteristic
363	#2960	C₂×C₁₉	1	1	yes	characteristic, complemented
364	C₂²×C₁₉	—	2	1	no	—
365	C₂²×C₁₉	—	2	1	no	—
366	C₂²×C₁₉	—	2	1	no	—
367	C₂²×C₁₉	—	4	2	no	—
368	C₂²×C₁₉	—	4	2	no	—
369	C₂²×C₁₉	—	4	2	no	—
370	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
371	C₄×C₁₉	—	2	1	no	—
372	C₄×C₁₉	—	2	1	no	—
373	C₄×C₁₉	—	2	4	no	—
374	C₄×C₁₉	—	2	1	no	—
375	C₄×C₁₉	—	2	4	no	—
376	C₄×C₁₉	—	4	2	no	—
377	C₄×C₁₉	—	4	2	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	#577	1	2	yes	—
384	C₄×C₁₉	#578	1	2	yes	—
385	C₄×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
386	C₄×C₁₉	#585	1	1	yes	characteristic
387	#564	—	2	2	no	—
388	#563	—	2	2	no	—
389	#559	C₂²×C₁₉	1	2	yes	—
390	Q₈²	C₂²×C₁₉	1	2	yes	—
391	#557	—	2	1	no	—
392	#557	—	2	1	no	—
393	#557	C₂²×C₁₉	1	2	yes	—
394	#557	C₂²×C₁₉	1	2	yes	—
395	#557	C₂²×C₁₉	1	2	yes	—
396	#557	C₂²×C₁₉	1	2	yes	—
397	#556	—	2	1	no	—
398	#556	C₂²×C₁₉	1	2	yes	—
399	D₄×Q₈	—	2	1	no	—
400	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
401	#542	—	2	2	no	—
402	#542	C₂²×C₁₉	1	4	yes	—
403	#541	—	2	2	no	—
404	#541	—	2	2	no	—
405	#541	C₂²×C₁₉	1	4	yes	—
406	#536	—	2	2	no	—
407	#533	C₂²×C₁₉	1	1	yes	characteristic
408	#533	C₂²×C₁₉	1	1	yes	characteristic
409	#533	C₂²×C₁₉	1	1	yes	characteristic
410	#533	C₂²×C₁₉	1	1	yes	characteristic
411	#532	C₂²×C₁₉	1	1	yes	characteristic
412	#501	C₂²×C₁₉	1	4	yes	—
413	#500	C₂²×C₁₉	1	1	yes	characteristic
414	#498	C₂²×C₁₉	1	1	yes	characteristic
415	#497	C₂²×C₁₉	1	4	yes	—
416	#494	C₂²×C₁₉	1	1	yes	characteristic
417	#492	C₂²×C₁₉	1	1	yes	characteristic
418	#488	C₂²×C₁₉	1	4	yes	—
419	#487	C₂²×C₁₉	1	1	yes	characteristic
420	#487	C₂²×C₁₉	1	4	yes	—
421	#487	C₂²×C₁₉	1	1	yes	characteristic
422	#487	C₂²×C₁₉	1	1	yes	characteristic
423	#486	C₂²×C₁₉	1	1	yes	characteristic
424	#479	C₂²×C₁₉	1	4	yes	—
425	#478	C₂²×C₁₉	1	4	yes	—
426	#477	C₂²×C₁₉	1	4	yes	—
427	#477	C₂²×C₁₉	1	2	yes	—
428	#475	C₂²×C₁₉	1	2	yes	—
429	#475	C₂²×C₁₉	1	4	yes	—
430	#475	C₂²×C₁₉	1	2	yes	—
431	#474	C₂²×C₁₉	1	2	yes	—
432	#470	C₂²×C₁₉	1	4	yes	—
433	#468	C₂²×C₁₉	1	4	yes	—
434	#467	C₂²×C₁₉	1	2	yes	—
435	#467	C₂²×C₁₉	1	2	yes	—
436	#465	C₂²×C₁₉	1	2	yes	—
437	#465	C₂²×C₁₉	1	2	yes	—
438	#464	C₂²×C₁₉	1	4	yes	—
439	#464	C₂²×C₁₉	1	4	yes	—
440	#462	C₂²×C₁₉	1	4	yes	—
441	#462	C₂²×C₁₉	1	2	yes	—
442	#462	C₂²×C₁₉	1	2	yes	—
443	#461	C₂²×C₁₉	1	2	yes	—
444	#461	C₂²×C₁₉	1	4	yes	—
445	#460	C₂²×C₁₉	1	2	yes	—
446	#446	C₂²×C₁₉	1	2	yes	—
447	#446	C₂²×C₁₉	1	2	yes	—
448	C₈×Q₈	C₂²×C₁₉	1	2	yes	—
449	C₈×Q₈	C₂²×C₁₉	1	2	yes	—
450	#441	C₂²×C₁₉	1	4	yes	—
451	#440	C₂²×C₁₉	1	4	yes	—
452	C₄×Q₁₆	C₂²×C₁₉	1	4	yes	—
453	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
454	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
455	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
456	C₄×SD₁₆	C₂²×C₁₉	1	4	yes	—
457	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
458	#424	C₂²×C₁₉	1	2	yes	—
459	#423	C₂²×C₁₉	1	1	yes	characteristic
460	#405	C₂²×C₁₉	1	2	yes	—
461	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
462	C₂×C₁₉	—	4	1	no	—
463	C₂×C₁₉	—	8	2	no	—
464	C₂×C₁₉	#3497	1	1	yes	characteristic
465	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
466	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
467	C₂×#41	—	2	1	no	—
468	C₂²×Q₈	—	2	2	no	—
469	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
470	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
471	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
472	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
473	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
474	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
475	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
476	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
477	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
478	C₄⋊Q₈	—	2	2	no	—
479	C₄⋊Q₈	—	2	2	no	—
480	C₄⋊Q₈	—	2	4	no	—
481	C₄⋊Q₈	—	2	2	no	—
482	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
483	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
484	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
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	1	yes	characteristic
492	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
493	#127	C₂³×C₁₉	1	1	yes	characteristic
494	#126	—	2	4	no	—
495	#126	—	2	4	no	—
496	#126	—	2	4	no	—
497	#126	—	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	4	no	—
503	#125	—	2	4	no	—
504	#125	—	2	4	no	—
505	#125	—	2	4	no	—
506	#125	—	2	1	no	—
507	#125	—	2	1	no	—
508	#125	—	2	1	no	—
509	#125	D₄×C₁₉	1	2	yes	—
510	#125	C₂³×C₁₉	1	4	yes	—
511	#124	—	2	2	no	—
512	#124	—	2	4	no	—
513	#124	—	2	1	no	—
514	#124	C₂³×C₁₉	1	4	yes	—
515	#123	—	2	4	no	—
516	#123	—	2	4	no	—
517	C₂²⋊Q₈	—	2	2	no	—
518	C₂²⋊Q₈	—	2	1	no	—
519	C₂²⋊Q₈	—	2	1	no	—
520	C₂²⋊Q₈	—	2	1	no	—
521	C₂²⋊Q₈	—	2	2	no	—
522	C₂²⋊Q₈	—	2	4	no	—
523	C₂²⋊Q₈	—	2	4	no	—
524	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
525	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
526	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
527	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
528	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
529	#121	—	2	1	no	—
530	#121	C₂³×C₁₉	1	2	yes	—
531	C₄×Q₈	—	2	2	no	—
532	C₄×Q₈	—	2	2	no	—
533	C₄×Q₈	—	2	2	no	—
534	C₄×Q₈	—	2	2	no	—
535	C₄×Q₈	—	2	2	no	—
536	C₄×Q₈	—	2	1	no	—
537	C₄×Q₈	—	2	1	no	—
538	C₄×Q₈	—	2	1	no	—
539	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
540	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
541	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
542	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
543	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
544	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
545	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
546	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
547	C₄×D₄	—	2	2	no	—
548	C₄×D₄	—	2	1	no	—
549	C₄×D₄	C₂³×C₁₉	1	2	yes	—
550	C₄×D₄	C₂³×C₁₉	1	4	yes	—
551	#117	—	2	1	no	—
552	#117	—	2	1	no	—
553	#117	—	2	1	no	—
554	#117	—	2	2	no	—
555	#117	C₂³×C₁₉	1	2	yes	—
556	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
557	#107	C₂³×C₁₉	1	2	yes	—
558	#107	C₂³×C₁₉	1	2	yes	—
559	#107	C₂³×C₁₉	1	4	yes	—
560	#106	C₂³×C₁₉	1	2	yes	—
561	#106	C₂³×C₁₉	1	2	yes	—
562	#106	C₂³×C₁₉	1	4	yes	—
563	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
564	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
565	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
566	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
567	#103	C₂³×C₁₉	1	2	yes	—
568	#103	C₂³×C₁₉	1	2	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	4	yes	—
574	#103	C₂³×C₁₉	1	4	yes	—
575	#103	C₂³×C₁₉	1	4	yes	—
576	#102	C₂³×C₁₉	1	2	yes	—
577	#102	C₂³×C₁₉	1	2	yes	—
578	#102	C₂³×C₁₉	1	4	yes	—
579	#97	C₂³×C₁₉	1	4	yes	—
580	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
581	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
582	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
583	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
584	C₄×C₈	C₂³×C₁₉	1	4	yes	—
585	C₁₉	#62382	1	1	yes	characteristic, direct product factor, Sylow
586	#41	—	8	2	no	—
587	C₂×Q₈	—	2	1	no	—
588	C₂×Q₈	—	2	1	no	—
589	C₂×Q₈	—	2	1	no	—
590	C₂×Q₈	—	2	4	no	—
591	C₂×Q₈	—	2	1	no	—
592	C₂×Q₈	—	8	4	no	—
593	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
594	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
595	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
596	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
597	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
598	C₂×D₄	—	2	2	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	2	1	no	—
601	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
602	C₂²×C₄	—	2	2	no	—
603	C₂²×C₄	—	2	4	no	—
604	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
606	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
607	Q₁₆	—	2	4	no	—
608	Q₁₆	—	4	2	no	—
609	Q₁₆	—	4	4	no	—
610	SD₁₆	—	2	4	no	—
611	SD₁₆	—	4	2	no	—
612	SD₁₆	—	4	4	no	—
613	M₁₆	—	4	2	no	—
614	C₂×C₈	—	2	2	no	—
615	C₂×C₈	—	4	1	no	—
616	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
617	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
618	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
619	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
620	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	1	no	—
625	C₄⋊C₄	—	2	1	no	—
626	C₄⋊C₄	—	2	1	no	—
627	C₄⋊C₄	—	2	1	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	1	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	4	no	—
638	C₄⋊C₄	—	2	4	no	—
639	C₄⋊C₄	—	2	4	no	—
640	C₄⋊C₄	—	2	2	no	—
641	C₄⋊C₄	—	2	2	no	—
642	C₄⋊C₄	—	2	2	no	—
643	C₄⋊C₄	—	2	4	no	—
644	C₄⋊C₄	—	2	4	no	—
645	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
646	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
647	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
648	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
649	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
650	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
651	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
652	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
653	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
654	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
655	C₂²⋊C₄	—	2	2	no	—
656	C₂²⋊C₄	—	2	2	no	—
657	C₂²⋊C₄	—	2	2	no	—
658	C₂²⋊C₄	—	2	4	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	4	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
664	C₄²	—	2	2	no	—
665	C₄²	—	2	2	no	—
666	C₄²	—	2	2	no	—
667	C₄²	—	2	4	no	—
668	C₄²	—	2	4	no	—
669	C₄²	—	2	4	no	—
670	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
671	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
672	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
673	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
674	C₄²	C₂⁴×C₁₉	1	4	yes	—
675	C₂³	—	2	2	no	—
676	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
677	Q₈	—	2	4	no	—
678	Q₈	—	2	4	no	—
679	Q₈	—	2	2	no	—
680	Q₈	—	2	2	no	—
681	Q₈	—	2	2	no	—
682	Q₈	—	2	2	no	—
683	Q₈	—	2	2	no	—
684	Q₈	—	2	2	no	—
685	Q₈	—	4	2	no	—
686	Q₈	—	4	2	no	—
687	Q₈	—	4	2	no	—
688	Q₈	—	8	4	no	—
689	Q₈	—	8	1	no	—
690	D₄	—	2	2	no	—
691	D₄	—	2	2	no	—
692	D₄	—	4	2	no	—
693	D₄	—	8	1	no	—
694	D₄	—	8	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	2	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	—	4	4	no	—
707	C₂×C₄	—	8	4	no	—
708	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
709	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
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	1	yes	characteristic
713	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
714	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
715	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
716	C₈	—	2	1	no	—
717	C₈	—	2	1	no	—
718	C₈	—	2	1	no	—
719	C₈	—	2	4	no	—
720	C₈	C₁₉×2₋¹⁺⁴	1	2	yes	—
721	C₂²	—	2	1	no	—
722	C₂²	—	2	1	no	—
723	C₂²	—	2	1	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	4	2	no	—
726	C₂²	—	4	2	no	—
727	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
728	C₄	—	2	1	no	—
729	C₄	—	2	1	no	—
730	C₄	—	2	4	no	—
731	C₄	—	2	1	no	—
732	C₄	—	2	4	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	2	no	—
735	C₄	—	4	2	no	—
736	C₄	—	4	2	no	—
737	C₄	—	4	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	C₁₉×#577	1	2	yes	—
741	C₄	C₁₉×#578	1	2	yes	—
742	C₄	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
743	C₄	C₁₉×#585	1	1	yes	characteristic
744	C₂	—	4	1	no	—
745	C₂	—	8	2	no	—
746	C₂	C₁₉×#3497	1	1	yes	characteristic
747	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
748	C₂	C₂×C₁₉×#578	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 ◁ C₁₉×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3556	C₂	semidirect
3. C₁₉×#3400	C₂	semidirect
4. C₁₉×#3398	C₂	semidirect
5. C₁₉×#3387	C₂	semidirect
6. C₁₉×#3386	C₂	semidirect
7. C₁₉×#3365	C₂	semidirect
8. C₁₉×#3364	C₂	semidirect
9. C₁₉×#3363	C₂	semidirect
10. C₁₉×#3359	C₂	semidirect
11. C₁₉×#3258	C₂	semidirect
12. C₁₉×#3255	C₂	semidirect
14. C₁₉×#3178	C₂	semidirect
15. C₁₉×#3170	C₂	semidirect
17. C₁₉×#2960	C₂	semidirect
300. #62382	C₁₉	direct (N × H)
347. #3556	C₂×C₁₉	semidirect
349. #3400	C₂×C₁₉	semidirect
350. #3398	C₂×C₁₉	semidirect
351. #3387	C₂×C₁₉	semidirect
352. #3386	C₂×C₁₉	semidirect
353. #3365	C₂×C₁₉	semidirect
354. #3364	C₂×C₁₉	semidirect
355. #3363	C₂×C₁₉	semidirect
356. #3359	C₂×C₁₉	semidirect
357. #3258	C₂×C₁₉	semidirect
358. #3255	C₂×C₁₉	semidirect
360. #3178	C₂×C₁₉	semidirect
361. #3170	C₂×C₁₉	semidirect
363. #2960	C₂×C₁₉	semidirect
585. C₁₉	#62382	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×#3556	2
C₁₉×#3550	2
C₁₉×#3400	2
C₁₉×#3398	2
C₁₉×#3387	2
C₁₉×#3386	2
C₁₉×#3365	2
C₁₉×#3364	2
C₁₉×#3363	2
C₁₉×#3359	2
C₁₉×#3258	2
C₁₉×#3255	2
C₁₉×#3254	2
C₁₉×#3178	2
C₁₉×#3170	2
C₁₉×#3167	2
C₁₉×#2960	2
#62382	19

Subgroups — C19×#62382 #18068341

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62382 #18068341