Subgroups — C₁₉×#11160 #18017119

Order 4864.

898 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#410	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2879	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2297	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1733	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₉×#339	C₂	1	2	yes	maximal, complemented
6	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
7	C₂²×M₁₆×C₁₉	C₂²	1	2	yes	—
8	C₂×C₁₉×#117	C₂²	1	2	yes	—
9	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
10	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
11	C₁₉×#410	—	2	4	no	—
12	C₂×C₁₉×#99	—	2	2	no	—
13	C₁₉×#408	—	2	4	no	—
14	C₁₉×#407	—	2	2	no	—
15	C₁₉×#391	C₄	1	2	yes	complemented
16	C₁₉×#390	C₄	1	2	yes	complemented
17	C₁₉×#386	—	2	2	no	—
18	C₄×C₂²⋊C₄×C₁₉	—	2	2	no	—
19	C₁₉×#339	—	2	4	no	—
20	C₁₉×#339	—	2	4	no	—
21	C₂×#41×C₁₉	—	2	2	no	—
22	C₂×#41×C₁₉	—	2	2	no	—
23	C₂×#41×C₁₉	—	2	2	no	—
24	C₂×#41×C₁₉	—	2	2	no	—
25	C₂×#41×C₁₉	—	2	2	no	—
26	C₂×#41×C₁₉	—	2	2	no	—
27	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
28	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
29	C₂²×D₄×C₁₉	D₄	1	2	yes	—
30	C₂³×C₄×C₁₉	—	2	1	no	—
31	C₂³×C₄×C₁₉	D₄	1	2	yes	—
32	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
33	C₂×M₁₆×C₁₉	—	2	2	no	—
34	C₂×M₁₆×C₁₉	—	2	2	no	—
35	C₂×M₁₆×C₁₉	—	2	2	no	—
36	C₂×M₁₆×C₁₉	—	2	2	no	—
37	C₂×M₁₆×C₁₉	—	2	2	no	—
38	C₂×M₁₆×C₁₉	D₄	1	4	yes	—
39	C₂²×C₈×C₁₉	—	2	2	no	—
40	C₁₉×#117	—	2	2	no	—
41	C₁₉×#117	—	2	2	no	—
42	C₁₉×#117	—	2	2	no	—
43	C₁₉×#117	—	2	2	no	—
44	C₁₉×#117	—	2	2	no	—
45	C₁₉×#117	D₄	1	4	yes	—
46	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
47	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
48	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
49	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
50	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
51	C₂×C₄²×C₁₉	—	2	2	no	—
52	C₂×C₄²×C₁₉	—	2	2	no	—
53	C₂×C₄²×C₁₉	—	2	2	no	—
54	C₂×C₄²×C₁₉	—	2	1	no	—
55	C₂×C₄²×C₁₉	—	2	1	no	—
56	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
57	C₁₉×#99	—	2	8	no	—
58	C₁₉×C₂²⋊C₈	—	2	8	no	—
59	C₁₉×#95	—	2	4	no	—
60	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
61	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
62	#41×C₁₉	—	4	2	no	—
63	#41×C₁₉	—	4	2	no	—
64	#41×C₁₉	—	4	2	no	—
65	#41×C₁₉	—	4	2	no	—
66	#41×C₁₉	—	4	2	no	—
67	#41×C₁₉	—	4	2	no	—
68	#41×C₁₉	—	4	2	no	—
69	#41×C₁₉	—	4	2	no	—
70	C₂×Q₈×C₁₉	—	2	1	no	—
71	C₂×Q₈×C₁₉	—	2	1	no	—
72	C₂×Q₈×C₁₉	—	2	2	no	—
73	C₂×Q₈×C₁₉	—	2	2	no	—
74	C₂×D₄×C₁₉	—	2	2	no	—
75	C₂×D₄×C₁₉	—	2	4	no	—
76	C₂×D₄×C₁₉	—	2	4	no	—
77	C₂×D₄×C₁₉	—	2	2	no	—
78	C₂×D₄×C₁₉	—	2	1	no	—
79	C₂×D₄×C₁₉	—	2	1	no	—
80	C₂×D₄×C₁₉	—	2	2	no	—
81	C₂×D₄×C₁₉	—	2	2	no	—
82	C₂²×C₄×C₁₉	—	2	2	no	—
83	C₂²×C₄×C₁₉	—	2	2	no	—
84	C₂²×C₄×C₁₉	—	2	4	no	—
85	C₂²×C₄×C₁₉	—	2	4	no	—
86	C₂²×C₄×C₁₉	—	2	2	no	—
87	C₂²×C₄×C₁₉	—	2	2	no	—
88	C₂²×C₄×C₁₉	—	4	4	no	—
89	C₂²×C₄×C₁₉	—	4	1	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	4	2	no	—
92	C₂²×C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
93	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₉	#41	1	2	yes	—
98	C₂²×C₄×C₁₉	#41	1	2	yes	—
99	C₂²×C₄×C₁₉	#41	1	2	yes	—
100	C₂²×C₄×C₁₉	#41	1	2	yes	—
101	M₁₆×C₁₉	—	2	4	no	—
102	M₁₆×C₁₉	—	2	4	no	—
103	M₁₆×C₁₉	—	4	2	no	—
104	M₁₆×C₁₉	—	4	2	no	—
105	C₂×C₈×C₁₉	—	2	4	no	—
106	C₂×C₈×C₁₉	—	4	2	no	—
107	C₂×C₈×C₁₉	—	4	2	no	—
108	C₄⋊C₄×C₁₉	—	2	4	no	—
109	C₄⋊C₄×C₁₉	—	2	4	no	—
110	C₄⋊C₄×C₁₉	—	4	2	no	—
111	C₂²⋊C₄×C₁₉	—	2	4	no	—
112	C₂²⋊C₄×C₁₉	—	4	8	no	—
113	C₂²⋊C₄×C₁₉	—	4	2	no	—
114	C₂²⋊C₄×C₁₉	—	4	2	no	—
115	C₄²×C₁₉	—	2	4	no	—
116	C₄²×C₁₉	—	2	4	no	—
117	C₄²×C₁₉	—	4	1	no	—
118	C₄²×C₁₉	—	4	2	no	—
119	C₄²×C₁₉	—	4	2	no	—
120	C₄²×C₁₉	—	4	1	no	—
121	#11160	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
122	C₂³×C₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	2	2	no	—
124	C₂³×C₁₉	—	2	2	no	—
125	C₂³×C₁₉	—	4	2	no	—
126	C₂³×C₁₉	—	4	4	no	—
127	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
128	C₂³×C₁₉	#120	1	1	yes	characteristic
129	C₂³×C₁₉	#121	1	2	yes	—
130	C₂³×C₁₉	#123	1	2	yes	—
131	C₂³×C₁₉	#123	1	1	yes	characteristic
132	Q₈×C₁₉	—	4	2	no	—
133	Q₈×C₁₉	—	4	2	no	—
134	D₄×C₁₉	—	4	4	no	—
135	D₄×C₁₉	—	4	4	no	—
136	D₄×C₁₉	—	4	2	no	—
137	D₄×C₁₉	—	4	2	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	2	2	no	—
141	C₂×C₄×C₁₉	—	2	2	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	4	4	no	—
144	C₂×C₄×C₁₉	—	4	4	no	—
145	C₂×C₄×C₁₉	—	4	2	no	—
146	C₂×C₄×C₁₉	—	4	4	no	—
147	C₂×C₄×C₁₉	—	4	4	no	—
148	C₂×C₄×C₁₉	—	4	4	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	4	no	—
151	C₂×C₄×C₁₉	—	8	4	no	—
152	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
154	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
155	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
156	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#121	1	2	yes	—
158	C₂×C₄×C₁₉	#121	1	2	yes	—
159	C₂×C₄×C₁₉	#121	1	2	yes	—
160	C₂×C₄×C₁₉	#123	1	2	yes	—
161	C₂×C₄×C₁₉	#123	1	2	yes	—
162	C₂×C₄×C₁₉	#123	1	2	yes	—
163	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#124	1	2	yes	—
165	C₂×C₄×C₁₉	#124	1	2	yes	—
166	C₂×C₄×C₁₉	#126	1	2	yes	—
167	C₂×C₄×C₁₉	#126	1	2	yes	—
168	C₈×C₁₉	—	4	4	no	—
169	C₂×#410	C₂×C₁₉	1	1	yes	characteristic
170	#2879	C₂×C₁₉	1	1	yes	characteristic
171	#2297	C₂×C₁₉	1	1	yes	characteristic
172	#1733	C₂×C₁₉	1	2	yes	complemented
173	C₂×#339	C₂×C₁₉	1	2	yes	complemented
174	C₂²×C₁₉	—	2	2	no	—
175	C₂²×C₁₉	—	2	4	no	—
176	C₂²×C₁₉	—	4	1	no	—
177	C₂²×C₁₉	—	4	1	no	—
178	C₂²×C₁₉	—	4	2	no	—
179	C₂²×C₁₉	—	4	4	no	—
180	C₂²×C₁₉	—	4	4	no	—
181	C₂²×C₁₉	—	4	2	no	—
182	C₂²×C₁₉	—	8	2	no	—
183	C₂²×C₁₉	#381	1	1	yes	characteristic
184	C₂²×C₁₉	#386	1	1	yes	characteristic
185	C₂²×C₁₉	#386	1	1	yes	characteristic
186	C₂²×C₁₉	#394	1	2	yes	—
187	C₂²×C₁₉	#397	1	2	yes	—
188	C₄×C₁₉	—	4	4	no	—
189	C₄×C₁₉	—	4	2	no	—
190	C₄×C₁₉	—	8	4	no	—
191	C₄×C₁₉	—	8	2	no	—
192	C₄×C₁₉	#388	1	2	yes	—
193	C₄×C₁₉	#388	1	2	yes	—
194	C₄×C₁₉	#394	1	2	yes	—
195	C₄×C₁₉	#397	1	2	yes	—
196	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
197	C₂²×M₁₆	C₂²×C₁₉	1	2	yes	—
198	C₂×#117	C₂²×C₁₉	1	2	yes	—
199	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
200	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
201	#410	—	2	4	no	—
202	C₂×#99	—	2	2	no	—
203	#408	—	2	4	no	—
204	#407	—	2	2	no	—
205	#391	C₄×C₁₉	1	2	yes	complemented
206	#390	C₄×C₁₉	1	2	yes	complemented
207	#386	—	2	2	no	—
208	C₄×C₂²⋊C₄	—	2	2	no	—
209	#339	—	2	4	no	—
210	#339	—	2	4	no	—
211	C₂×C₁₉	—	2	1	no	—
212	C₂×C₁₉	—	2	2	no	—
213	C₂×C₁₉	—	2	1	no	—
214	C₂×C₁₉	—	2	2	no	—
215	C₂×C₁₉	—	8	2	no	—
216	C₂×C₁₉	#1440	1	1	yes	characteristic
217	C₂×C₁₉	#1884	1	2	yes	—
218	C₂×#41	—	2	2	no	—
219	C₂×#41	—	2	2	no	—
220	C₂×#41	—	2	2	no	—
221	C₂×#41	—	2	2	no	—
222	C₂×#41	—	2	2	no	—
223	C₂×#41	—	2	2	no	—
224	C₂²×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
225	C₂²×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
226	C₂²×D₄	D₄×C₁₉	1	2	yes	—
227	C₂³×C₄	—	2	1	no	—
228	C₂³×C₄	D₄×C₁₉	1	2	yes	—
229	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
230	C₂×M₁₆	—	2	2	no	—
231	C₂×M₁₆	—	2	2	no	—
232	C₂×M₁₆	—	2	2	no	—
233	C₂×M₁₆	—	2	2	no	—
234	C₂×M₁₆	—	2	2	no	—
235	C₂×M₁₆	D₄×C₁₉	1	4	yes	—
236	C₂²×C₈	—	2	2	no	—
237	#117	—	2	2	no	—
238	#117	—	2	2	no	—
239	#117	—	2	2	no	—
240	#117	—	2	2	no	—
241	#117	—	2	2	no	—
242	#117	D₄×C₁₉	1	4	yes	—
243	C₂×C₄⋊C₄	—	2	2	no	—
244	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
245	C₂×C₂²⋊C₄	—	2	2	no	—
246	C₂×C₂²⋊C₄	—	2	4	no	—
247	C₂×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₄²	—	2	2	no	—
249	C₂×C₄²	—	2	2	no	—
250	C₂×C₄²	—	2	2	no	—
251	C₂×C₄²	—	2	1	no	—
252	C₂×C₄²	—	2	1	no	—
253	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
254	#99	—	2	8	no	—
255	C₂²⋊C₈	—	2	8	no	—
256	#95	—	2	4	no	—
257	C₁₉	#11160	1	1	yes	characteristic, direct product factor, Sylow
258	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
259	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
260	#41	—	4	2	no	—
261	#41	—	4	2	no	—
262	#41	—	4	2	no	—
263	#41	—	4	2	no	—
264	#41	—	4	2	no	—
265	#41	—	4	2	no	—
266	#41	—	4	2	no	—
267	#41	—	4	2	no	—
268	C₂×Q₈	—	2	1	no	—
269	C₂×Q₈	—	2	1	no	—
270	C₂×Q₈	—	2	2	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	2	4	no	—
274	C₂×D₄	—	2	4	no	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	2	2	no	—
279	C₂×D₄	—	2	2	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	4	no	—
283	C₂²×C₄	—	2	4	no	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	4	4	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	4	1	no	—
289	C₂²×C₄	—	4	2	no	—
290	C₂²×C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
291	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
292	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
293	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
294	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
295	C₂²×C₄	#41×C₁₉	1	2	yes	—
296	C₂²×C₄	#41×C₁₉	1	2	yes	—
297	C₂²×C₄	#41×C₁₉	1	2	yes	—
298	C₂²×C₄	#41×C₁₉	1	2	yes	—
299	M₁₆	—	2	4	no	—
300	M₁₆	—	2	4	no	—
301	M₁₆	—	4	2	no	—
302	M₁₆	—	4	2	no	—
303	C₂×C₈	—	2	4	no	—
304	C₂×C₈	—	4	2	no	—
305	C₂×C₈	—	4	2	no	—
306	C₄⋊C₄	—	2	4	no	—
307	C₄⋊C₄	—	2	4	no	—
308	C₄⋊C₄	—	4	2	no	—
309	C₂²⋊C₄	—	2	4	no	—
310	C₂²⋊C₄	—	4	8	no	—
311	C₂²⋊C₄	—	4	2	no	—
312	C₂²⋊C₄	—	4	2	no	—
313	C₄²	—	2	4	no	—
314	C₄²	—	2	4	no	—
315	C₄²	—	4	1	no	—
316	C₄²	—	4	2	no	—
317	C₄²	—	4	2	no	—
318	C₄²	—	4	1	no	—
319	C₂³	—	2	2	no	—
320	C₂³	—	2	2	no	—
321	C₂³	—	2	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	—	4	4	no	—
324	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
325	C₂³	C₁₉×#120	1	1	yes	characteristic
326	C₂³	C₁₉×#121	1	2	yes	—
327	C₂³	C₁₉×#123	1	2	yes	—
328	C₂³	C₁₉×#123	1	1	yes	characteristic
329	Q₈	—	4	2	no	—
330	Q₈	—	4	2	no	—
331	D₄	—	4	4	no	—
332	D₄	—	4	4	no	—
333	D₄	—	4	2	no	—
334	D₄	—	4	2	no	—
335	C₂×C₄	—	2	4	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	4	no	—
341	C₂×C₄	—	4	4	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	4	no	—
345	C₂×C₄	—	4	4	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	4	no	—
348	C₂×C₄	—	8	4	no	—
349	C₂×C₄	C₁₉×#117	1	1	yes	characteristic
350	C₂×C₄	C₁₉×#117	1	1	yes	characteristic
351	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
352	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
353	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
354	C₂×C₄	C₁₉×#121	1	2	yes	—
355	C₂×C₄	C₁₉×#121	1	2	yes	—
356	C₂×C₄	C₁₉×#121	1	2	yes	—
357	C₂×C₄	C₁₉×#123	1	2	yes	—
358	C₂×C₄	C₁₉×#123	1	2	yes	—
359	C₂×C₄	C₁₉×#123	1	2	yes	—
360	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
361	C₂×C₄	C₁₉×#124	1	2	yes	—
362	C₂×C₄	C₁₉×#124	1	2	yes	—
363	C₂×C₄	C₁₉×#126	1	2	yes	—
364	C₂×C₄	C₁₉×#126	1	2	yes	—
365	C₈	—	4	4	no	—
366	C₂²	—	2	2	no	—
367	C₂²	—	2	4	no	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	2	no	—
371	C₂²	—	4	4	no	—
372	C₂²	—	4	2	no	—
373	C₂²	—	4	4	no	—
374	C₂²	—	8	2	no	—
375	C₂²	C₁₉×#381	1	1	yes	characteristic
376	C₂²	C₁₉×#386	1	1	yes	characteristic
377	C₂²	C₁₉×#386	1	1	yes	characteristic
378	C₂²	C₁₉×#394	1	2	yes	—
379	C₂²	C₁₉×#397	1	2	yes	—
380	C₄	—	4	4	no	—
381	C₄	—	4	2	no	—
382	C₄	—	8	4	no	—
383	C₄	—	8	2	no	—
384	C₄	C₁₉×#388	1	2	yes	—
385	C₄	C₁₉×#388	1	2	yes	—
386	C₄	C₁₉×#394	1	2	yes	—
387	C₄	C₁₉×#397	1	2	yes	—
388	C₂	—	2	1	no	—
389	C₂	—	2	2	no	—
390	C₂	—	2	1	no	—
391	C₂	—	2	2	no	—
392	C₂	—	8	2	no	—
393	C₂	C₁₉×#1440	1	1	yes	characteristic
394	C₂	C₁₉×#1884	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₁₉	#120
commutator	C₂²×C₄	C₂²×C₄×C₁₉
Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
socle	C₂²×C₁₉	#386
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1733	C₂	semidirect
5. C₂×C₁₉×#339	C₂	semidirect
15. C₁₉×#391	C₄	semidirect
16. C₁₉×#390	C₄	semidirect
121. #11160	C₁₉	direct (N × H)
172. #1733	C₂×C₁₉	semidirect
173. C₂×#339	C₂×C₁₉	semidirect
205. #391	C₄×C₁₉	semidirect
206. #390	C₄×C₁₉	semidirect
257. C₁₉	#11160	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₉×#410	2
C₁₉×#2879	2
C₁₉×#2297	2
C₁₉×#1733	2
C₂×C₁₉×#339	2
#11160	19

Subgroups — C19×#11160 #18017119

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#11160 #18017119