Subgroups — C₁₉×#13300 #18019259

Order 4864.

492 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2566	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1799	C₂	1	1	yes	maximal, characteristic
3	C₄×C₁₉×#99	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1393	C₂	1	2	yes	maximal
5	C₁₉×#1393	C₂	1	2	yes	maximal
6	C₂×C₁₉×#125	C₄	1	1	yes	characteristic, complemented
7	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
8	C₂×C₁₉×#99	C₂²	1	2	yes	—
9	C₂×C₁₉×#99	C₂²	1	2	yes	—
10	C₁₉×#396	—	2	1	no	—
11	C₁₉×#396	—	2	1	no	—
12	C₁₉×#390	C₂²	1	1	yes	characteristic
13	C₁₉×#390	C₂²	1	1	yes	characteristic
14	C₁₉×#385	—	2	1	no	—
15	C₁₉×#385	—	2	1	no	—
16	C₁₉×#384	C₄	1	1	yes	characteristic, complemented
17	C₁₉×#382	C₄	1	1	yes	characteristic, complemented
18	C₁₉×#380	—	2	1	no	—
19	C₄×C₄⋊C₄×C₁₉	C₄	1	1	yes	characteristic, complemented
20	C₄×C₂²⋊C₄×C₁₉	—	2	1	no	—
21	C₁₉×#342	—	2	1	no	—
22	C₁₉×#342	—	2	1	no	—
23	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
24	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
25	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
26	C₁₉×#125	—	4	1	no	—
27	C₁₉×#125	—	4	1	no	—
28	C₄×D₄×C₁₉	—	4	1	no	—
29	C₄×D₄×C₁₉	—	4	1	no	—
30	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
31	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
32	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
33	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
34	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
35	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
36	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
38	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
39	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
42	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
43	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
44	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
45	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₉	—	4	1	no	—
48	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
51	C₁₉×#99	—	2	2	no	—
52	C₁₉×#99	—	2	4	no	—
53	C₁₉×#99	Q₈	1	4	yes	—
54	C₁₉×#95	—	2	1	no	—
55	C₁₉×#95	—	2	1	no	—
56	C₁₉×#95	—	2	1	no	—
57	C₁₉×#95	—	4	1	no	—
58	C₁₉×#95	—	4	1	no	—
59	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
60	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
61	C₂×D₄×C₁₉	—	4	1	no	—
62	C₂×D₄×C₁₉	—	4	1	no	—
63	C₂×D₄×C₁₉	C₂×Q₈	1	2	yes	—
64	C₂×D₄×C₁₉	#41	1	2	yes	—
65	C₂²×C₄×C₁₉	—	2	1	no	—
66	C₂²×C₄×C₁₉	—	2	1	no	—
67	C₂²×C₄×C₁₉	—	2	1	no	—
68	C₂²×C₄×C₁₉	—	2	1	no	—
69	C₂²×C₄×C₁₉	—	2	1	no	—
70	C₂²×C₄×C₁₉	—	2	1	no	—
71	C₂²×C₄×C₁₉	—	2	1	no	—
72	C₂²×C₄×C₁₉	—	2	1	no	—
73	C₂²×C₄×C₁₉	—	4	2	no	—
74	C₂²×C₄×C₁₉	—	4	2	no	—
75	C₂²×C₄×C₁₉	—	8	1	no	—
76	C₂²×C₄×C₁₉	—	8	1	no	—
77	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
82	C₄⋊C₄×C₁₉	—	4	1	no	—
83	C₄⋊C₄×C₁₉	—	4	1	no	—
84	C₄⋊C₄×C₁₉	—	4	1	no	—
85	C₄⋊C₄×C₁₉	—	4	2	no	—
86	C₄⋊C₄×C₁₉	—	4	2	no	—
87	C₄⋊C₄×C₁₉	—	4	1	no	—
88	C₄⋊C₄×C₁₉	—	4	1	no	—
89	C₄⋊C₄×C₁₉	—	8	1	no	—
90	C₄⋊C₄×C₁₉	—	8	1	no	—
91	C₄⋊C₄×C₁₉	—	8	2	no	—
92	C₂²⋊C₄×C₁₉	—	2	4	no	—
93	C₂²⋊C₄×C₁₉	—	4	1	no	—
94	C₂²⋊C₄×C₁₉	—	4	1	no	—
95	C₂²⋊C₄×C₁₉	—	4	2	no	—
96	C₂²⋊C₄×C₁₉	—	4	2	no	—
97	C₂²⋊C₄×C₁₉	—	4	2	no	—
98	C₂²⋊C₄×C₁₉	—	4	2	no	—
99	C₂²⋊C₄×C₁₉	—	4	2	no	—
100	C₂²⋊C₄×C₁₉	—	8	1	no	—
101	C₂²⋊C₄×C₁₉	—	8	1	no	—
102	C₄²×C₁₉	—	2	1	no	—
103	C₄²×C₁₉	—	2	1	no	—
104	C₄²×C₁₉	—	4	1	no	—
105	C₄²×C₁₉	—	4	1	no	—
106	C₄²×C₁₉	—	8	2	no	—
107	#13300	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂³×C₁₉	—	2	1	no	—
109	C₂³×C₁₉	—	2	1	no	—
110	C₂³×C₁₉	—	2	1	no	—
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	4	1	no	—
113	C₂³×C₁₉	—	4	1	no	—
114	C₂³×C₁₉	—	4	1	no	—
115	C₂³×C₁₉	—	4	1	no	—
116	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
117	C₂³×C₁₉	C₂²⋊Q₈	1	2	yes	—
118	C₂³×C₁₉	#124	1	1	yes	characteristic
119	C₂³×C₁₉	C₄⋊Q₈	1	1	yes	characteristic
120	D₄×C₁₉	—	4	2	no	—
121	D₄×C₁₉	—	4	2	no	—
122	C₂×C₄×C₁₉	—	2	1	no	—
123	C₂×C₄×C₁₉	—	2	1	no	—
124	C₂×C₄×C₁₉	—	2	2	no	—
125	C₂×C₄×C₁₉	—	2	1	no	—
126	C₂×C₄×C₁₉	—	2	1	no	—
127	C₂×C₄×C₁₉	—	2	1	no	—
128	C₂×C₄×C₁₉	—	4	1	no	—
129	C₂×C₄×C₁₉	—	4	2	no	—
130	C₂×C₄×C₁₉	—	4	2	no	—
131	C₂×C₄×C₁₉	—	4	1	no	—
132	C₂×C₄×C₁₉	—	4	1	no	—
133	C₂×C₄×C₁₉	—	4	1	no	—
134	C₂×C₄×C₁₉	—	4	1	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	4	no	—
137	C₂×C₄×C₁₉	—	4	1	no	—
138	C₂×C₄×C₁₉	—	4	1	no	—
139	C₂×C₄×C₁₉	—	4	1	no	—
140	C₂×C₄×C₁₉	—	4	1	no	—
141	C₂×C₄×C₁₉	—	4	1	no	—
142	C₂×C₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	4	1	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	8	1	no	—
147	C₂×C₄×C₁₉	—	8	1	no	—
148	C₂×C₄×C₁₉	—	8	2	no	—
149	C₂×C₄×C₁₉	—	8	2	no	—
150	C₂×C₄×C₁₉	—	8	2	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	#99	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#99	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₄×Q₈	1	2	yes	—
156	#2566	C₂×C₁₉	1	1	yes	characteristic
157	#1799	C₂×C₁₉	1	1	yes	characteristic
158	C₄×#99	C₂×C₁₉	1	1	yes	characteristic
159	#1393	C₂×C₁₉	1	2	yes	—
160	#1393	C₂×C₁₉	1	2	yes	—
161	C₂²×C₁₉	—	2	1	no	—
162	C₂²×C₁₉	—	2	1	no	—
163	C₂²×C₁₉	—	2	2	no	—
164	C₂²×C₁₉	—	2	1	no	—
165	C₂²×C₁₉	—	2	1	no	—
166	C₂²×C₁₉	—	4	2	no	—
167	C₂²×C₁₉	—	4	1	no	—
168	C₂²×C₁₉	—	4	1	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	—	4	1	no	—
172	C₂²×C₁₉	—	4	1	no	—
173	C₂²×C₁₉	—	8	1	no	—
174	C₂²×C₁₉	—	8	1	no	—
175	C₂²×C₁₉	#391	1	1	yes	characteristic
176	C₂²×C₁₉	C₂×#99	1	1	yes	characteristic
177	C₂²×C₁₉	#410	1	1	yes	characteristic
178	C₄×C₁₉	—	2	1	no	—
179	C₄×C₁₉	—	2	1	no	—
180	C₄×C₁₉	—	2	2	no	—
181	C₄×C₁₉	—	4	2	no	—
182	C₄×C₁₉	—	4	1	no	—
183	C₄×C₁₉	—	4	1	no	—
184	C₄×C₁₉	—	4	1	no	—
185	C₄×C₁₉	—	8	1	no	—
186	C₄×C₁₉	—	8	4	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	—	8	1	no	—
189	C₄×C₁₉	—	16	2	no	—
190	C₂×#125	C₄×C₁₉	1	1	yes	characteristic, complemented
191	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
192	C₂×#99	C₂²×C₁₉	1	2	yes	—
193	C₂×#99	C₂²×C₁₉	1	2	yes	—
194	#396	—	2	1	no	—
195	#396	—	2	1	no	—
196	#390	C₂²×C₁₉	1	1	yes	characteristic
197	#390	C₂²×C₁₉	1	1	yes	characteristic
198	#385	—	2	1	no	—
199	#385	—	2	1	no	—
200	#384	C₄×C₁₉	1	1	yes	characteristic, complemented
201	#382	C₄×C₁₉	1	1	yes	characteristic, complemented
202	#380	—	2	1	no	—
203	C₄×C₄⋊C₄	C₄×C₁₉	1	1	yes	characteristic, complemented
204	C₄×C₂²⋊C₄	—	2	1	no	—
205	#342	—	2	1	no	—
206	#342	—	2	1	no	—
207	C₂×C₁₉	—	2	1	no	—
208	C₂×C₁₉	—	2	1	no	—
209	C₂×C₁₉	—	4	2	no	—
210	C₂×C₁₉	—	4	1	no	—
211	C₂×C₁₉	—	4	1	no	—
212	C₂×C₁₉	#1996	1	1	yes	characteristic
213	C₂×C₁₉	#2126	1	1	yes	characteristic
214	C₂×C₁₉	#2127	1	1	yes	characteristic
215	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
216	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
217	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
218	#125	—	4	1	no	—
219	#125	—	4	1	no	—
220	C₄×D₄	—	4	1	no	—
221	C₄×D₄	—	4	1	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	—	4	1	no	—
228	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
229	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
230	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
231	C₂×C₂²⋊C₄	—	2	2	no	—
232	C₂×C₂²⋊C₄	—	2	1	no	—
233	C₂×C₂²⋊C₄	—	2	1	no	—
234	C₂×C₂²⋊C₄	—	2	2	no	—
235	C₂×C₂²⋊C₄	—	2	1	no	—
236	C₂×C₂²⋊C₄	—	2	1	no	—
237	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
238	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
239	C₂×C₄²	—	4	1	no	—
240	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
241	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
242	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
243	#99	—	2	2	no	—
244	#99	—	2	4	no	—
245	#99	Q₈×C₁₉	1	4	yes	—
246	#95	—	2	1	no	—
247	#95	—	2	1	no	—
248	#95	—	2	1	no	—
249	#95	—	4	1	no	—
250	#95	—	4	1	no	—
251	C₁₉	#13300	1	1	yes	characteristic, direct product factor, Sylow
252	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
253	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
254	C₂×D₄	—	4	1	no	—
255	C₂×D₄	—	4	1	no	—
256	C₂×D₄	C₂×Q₈×C₁₉	1	2	yes	—
257	C₂×D₄	#41×C₁₉	1	2	yes	—
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	1	no	—
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	—	2	1	no	—
263	C₂²×C₄	—	2	1	no	—
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	2	1	no	—
266	C₂²×C₄	—	4	2	no	—
267	C₂²×C₄	—	4	2	no	—
268	C₂²×C₄	—	8	1	no	—
269	C₂²×C₄	—	8	1	no	—
270	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
271	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
272	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
273	C₂²×C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
274	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
275	C₄⋊C₄	—	4	1	no	—
276	C₄⋊C₄	—	4	1	no	—
277	C₄⋊C₄	—	4	1	no	—
278	C₄⋊C₄	—	4	2	no	—
279	C₄⋊C₄	—	4	2	no	—
280	C₄⋊C₄	—	4	1	no	—
281	C₄⋊C₄	—	4	1	no	—
282	C₄⋊C₄	—	8	1	no	—
283	C₄⋊C₄	—	8	1	no	—
284	C₄⋊C₄	—	8	2	no	—
285	C₂²⋊C₄	—	2	4	no	—
286	C₂²⋊C₄	—	4	1	no	—
287	C₂²⋊C₄	—	4	1	no	—
288	C₂²⋊C₄	—	4	2	no	—
289	C₂²⋊C₄	—	4	2	no	—
290	C₂²⋊C₄	—	4	2	no	—
291	C₂²⋊C₄	—	4	2	no	—
292	C₂²⋊C₄	—	4	2	no	—
293	C₂²⋊C₄	—	8	1	no	—
294	C₂²⋊C₄	—	8	1	no	—
295	C₄²	—	2	1	no	—
296	C₄²	—	2	1	no	—
297	C₄²	—	4	1	no	—
298	C₄²	—	4	1	no	—
299	C₄²	—	8	2	no	—
300	C₂³	—	2	1	no	—
301	C₂³	—	2	1	no	—
302	C₂³	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	4	1	no	—
305	C₂³	—	4	1	no	—
306	C₂³	—	4	1	no	—
307	C₂³	—	4	1	no	—
308	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
309	C₂³	C₁₉×C₂²⋊Q₈	1	2	yes	—
310	C₂³	C₁₉×#124	1	1	yes	characteristic
311	C₂³	C₁₉×C₄⋊Q₈	1	1	yes	characteristic
312	D₄	—	4	2	no	—
313	D₄	—	4	2	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	4	1	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	4	1	no	—
324	C₂×C₄	—	4	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	8	1	no	—
339	C₂×C₄	—	8	1	no	—
340	C₂×C₄	—	8	2	no	—
341	C₂×C₄	—	8	2	no	—
342	C₂×C₄	—	8	2	no	—
343	C₂×C₄	—	8	2	no	—
344	C₂×C₄	—	8	2	no	—
345	C₂×C₄	C₁₉×#99	1	1	yes	characteristic
346	C₂×C₄	C₁₉×#99	1	1	yes	characteristic
347	C₂×C₄	C₄×Q₈×C₁₉	1	2	yes	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	4	2	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	1	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	8	1	no	—
361	C₂²	—	8	1	no	—
362	C₂²	C₁₉×#391	1	1	yes	characteristic
363	C₂²	C₂×C₁₉×#99	1	1	yes	characteristic
364	C₂²	C₁₉×#410	1	1	yes	characteristic
365	C₄	—	2	2	no	—
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	4	2	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	—	4	1	no	—
372	C₄	—	8	1	no	—
373	C₄	—	8	4	no	—
374	C₄	—	8	1	no	—
375	C₄	—	8	1	no	—
376	C₄	—	16	2	no	—
377	C₂	—	2	1	no	—
378	C₂	—	2	1	no	—
379	C₂	—	4	2	no	—
380	C₂	—	4	1	no	—
381	C₂	—	4	1	no	—
382	C₂	C₁₉×#1996	1	1	yes	characteristic
383	C₂	C₁₉×#2126	1	1	yes	characteristic
384	C₂	C₁₉×#2127	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#99
commutator	C₂²×C₄	C₂²×C₄×C₁₉
Frattini, cosocle	C₂²×D₄	C₂³×C₁₉
prime radical	C₂²×D₄×C₁₉	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
6. C₂×C₁₉×#125	C₄	semidirect
16. C₁₉×#384	C₄	semidirect
17. C₁₉×#382	C₄	semidirect
19. C₄×C₄⋊C₄×C₁₉	C₄	semidirect
107. #13300	C₁₉	direct (N × H)
190. C₂×#125	C₄×C₁₉	semidirect
200. #384	C₄×C₁₉	semidirect
201. #382	C₄×C₁₉	semidirect
203. C₄×C₄⋊C₄	C₄×C₁₉	semidirect
251. C₁₉	#13300	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×#2566	2
C₁₉×#1799	2
C₄×C₁₉×#99	2
C₁₉×#1393	2
#13300	19

Subgroups — C19×#13300 #18019259

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13300 #18019259