Subgroups — C₁₉×#13924 #18019883

Order 4864.

2166 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₄⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#380	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1445	C₂	1	4	yes	maximal, complemented
5	C₁₉×C₄⋊#95	C₂	1	4	yes	maximal, complemented
6	C₁₉×C₂²⋊#95	C₂	1	4	yes	maximal
7	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
8	C₂⁴×C₄×C₁₉	C₂²	1	2	yes	—
9	C₂²×C₄⋊C₄×C₁₉	—	2	4	no	—
10	C₂²×C₄⋊C₄×C₁₉	—	2	4	no	—
11	C₂²×C₄⋊C₄×C₁₉	C₄	1	8	yes	complemented
12	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
14	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
15	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
16	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
17	C₂²×C₄²×C₁₉	C₂²	1	2	yes	—
18	C₁₉×#380	—	2	4	no	—
19	C₄×C₂²⋊C₄×C₁₉	—	2	4	no	—
20	C₂×C₁₉×#95	C₂²	1	2	yes	—
21	C₂×C₁₉×#95	C₂²	1	2	yes	—
22	C₂×C₁₉×#95	C₂²	1	16	yes	—
23	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
24	C₂³×C₄×C₁₉	—	2	8	no	—
25	C₂³×C₄×C₁₉	—	2	4	no	—
26	C₂³×C₄×C₁₉	—	2	4	no	—
27	C₂³×C₄×C₁₉	—	4	8	no	—
28	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
29	C₂³×C₄×C₁₉	C₂×C₄	1	8	yes	—
30	C₂³×C₄×C₁₉	D₄	1	4	yes	—
31	C₂³×C₄×C₁₉	D₄	1	4	yes	—
32	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
35	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
36	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₂×C₄⋊C₄×C₁₉	—	2	32	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
40	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
41	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
42	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
43	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
44	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	8	yes	—
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	8	yes	—
46	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
47	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
48	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
49	C₂×C₂²⋊C₄×C₁₉	—	2	8	no	—
50	C₂×C₂²⋊C₄×C₁₉	Q₈	1	8	yes	—
51	C₂×C₄²×C₁₉	—	2	4	no	—
52	C₂×C₄²×C₁₉	—	2	8	no	—
53	C₁₉×#95	—	2	4	no	—
54	C₁₉×#95	—	2	4	no	—
55	C₁₉×#95	—	4	16	no	—
56	C₂⁴×C₁₉	—	2	4	no	—
57	C₂⁴×C₁₉	—	2	4	no	—
58	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
59	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
60	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
61	C₂⁴×C₁₉	C₂×Q₈	1	4	yes	—
62	C₂⁴×C₁₉	#41	1	4	yes	—
63	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	—	2	4	no	—
65	C₂²×C₄×C₁₉	—	2	16	no	—
66	C₂²×C₄×C₁₉	—	2	16	no	—
67	C₂²×C₄×C₁₉	—	2	16	no	—
68	C₂²×C₄×C₁₉	—	2	16	no	—
69	C₂²×C₄×C₁₉	—	2	4	no	—
70	C₂²×C₄×C₁₉	—	2	4	no	—
71	C₂²×C₄×C₁₉	—	2	4	no	—
72	C₂²×C₄×C₁₉	—	2	8	no	—
73	C₂²×C₄×C₁₉	—	2	4	no	—
74	C₂²×C₄×C₁₉	—	2	16	no	—
75	C₂²×C₄×C₁₉	—	2	8	no	—
76	C₂²×C₄×C₁₉	—	2	4	no	—
77	C₂²×C₄×C₁₉	—	2	8	no	—
78	C₂²×C₄×C₁₉	—	2	8	no	—
79	C₂²×C₄×C₁₉	—	2	8	no	—
80	C₂²×C₄×C₁₉	—	4	16	no	—
81	C₂²×C₄×C₁₉	—	4	16	no	—
82	C₂²×C₄×C₁₉	—	4	16	no	—
83	C₂²×C₄×C₁₉	C₂²⋊C₄	1	16	yes	—
84	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
85	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₁₉	C₂×Q₈	1	8	yes	—
92	C₂²×C₄×C₁₉	#41	1	8	yes	—
93	C₄⋊C₄×C₁₉	—	2	16	no	—
94	C₄⋊C₄×C₁₉	—	2	16	no	—
95	C₄⋊C₄×C₁₉	—	4	8	no	—
96	C₂²⋊C₄×C₁₉	—	2	16	no	—
97	C₂²⋊C₄×C₁₉	—	4	8	no	—
98	C₄²×C₁₉	—	4	8	no	—
99	#13924	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
100	C₂³×C₁₉	—	2	4	no	—
101	C₂³×C₁₉	—	2	4	no	—
102	C₂³×C₁₉	—	2	4	no	—
103	C₂³×C₁₉	—	2	4	no	—
104	C₂³×C₁₉	—	2	4	no	—
105	C₂³×C₁₉	—	2	4	no	—
106	C₂³×C₁₉	—	2	16	no	—
107	C₂³×C₁₉	—	2	16	no	—
108	C₂³×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
109	C₂³×C₁₉	C₄×Q₈	1	8	yes	—
110	C₂³×C₁₉	C₂²⋊Q₈	1	8	yes	—
111	C₂³×C₁₉	#124	1	4	yes	—
112	C₂³×C₁₉	C₄⋊Q₈	1	4	yes	—
113	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
114	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
115	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
116	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
117	C₂³×C₁₉	C₂×#41	1	4	yes	—
118	C₂³×C₁₉	C₂×#41	1	2	yes	—
119	C₂³×C₁₉	H(5,𝔽₂)	1	4	yes	—
120	C₂×C₄×C₁₉	—	2	4	no	—
121	C₂×C₄×C₁₉	—	2	4	no	—
122	C₂×C₄×C₁₉	—	2	4	no	—
123	C₂×C₄×C₁₉	—	2	32	no	—
124	C₂×C₄×C₁₉	—	2	8	no	—
125	C₂×C₄×C₁₉	—	2	16	no	—
126	C₂×C₄×C₁₉	—	2	8	no	—
127	C₂×C₄×C₁₉	—	2	16	no	—
128	C₂×C₄×C₁₉	—	4	32	no	—
129	C₂×C₄×C₁₉	—	4	4	no	—
130	C₂×C₄×C₁₉	—	4	4	no	—
131	C₂×C₄×C₁₉	—	4	8	no	—
132	C₂×C₄×C₁₉	—	4	8	no	—
133	C₂×C₄×C₁₉	—	4	8	no	—
134	C₂×C₄×C₁₉	—	4	4	no	—
135	C₂×C₄×C₁₉	—	4	4	no	—
136	C₂×C₄×C₁₉	—	4	4	no	—
137	C₂×C₄×C₁₉	—	4	16	no	—
138	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
139	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
140	C₂×C₄×C₁₉	#117	1	8	yes	—
141	C₂×C₄×C₁₉	#123	1	8	yes	—
142	C₂×C₄×C₁₉	#123	1	8	yes	—
143	C₂³×C₄⋊C₄	C₂×C₁₉	1	1	yes	characteristic
144	C₂×#380	C₂×C₁₉	1	1	yes	characteristic
145	C₂×C₄×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic
146	#1445	C₂×C₁₉	1	4	yes	complemented
147	C₄⋊#95	C₂×C₁₉	1	4	yes	complemented
148	C₂²⋊#95	C₂×C₁₉	1	4	yes	—
149	C₂²×C₁₉	—	2	4	no	—
150	C₂²×C₁₉	—	2	16	no	—
151	C₂²×C₁₉	—	2	16	no	—
152	C₂²×C₁₉	—	2	8	no	—
153	C₂²×C₁₉	—	2	8	no	—
154	C₂²×C₁₉	—	2	4	no	—
155	C₂²×C₁₉	#391	1	8	yes	—
156	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
157	C₂²×C₁₉	C₂×#117	1	2	yes	—
158	C₂²×C₁₉	C₂×C₄×Q₈	1	2	yes	—
159	C₂²×C₁₉	#518	1	2	yes	—
160	C₂²×C₁₉	C₂×C₂²⋊Q₈	1	2	yes	—
161	C₂²×C₁₉	C₂×#123	1	2	yes	—
162	C₂²×C₁₉	C₂×#123	1	2	yes	—
163	C₂²×C₁₉	C₂×#124	1	1	yes	characteristic
164	C₂²×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
165	C₂²×C₁₉	#535	1	2	yes	—
166	C₂²×C₁₉	#535	1	2	yes	—
167	C₂²×C₁₉	#553	1	8	yes	—
168	C₂²×C₁₉	#554	1	8	yes	—
169	C₄×C₁₉	—	2	4	no	—
170	C₄×C₁₉	—	4	8	no	—
171	C₄×C₁₉	—	4	8	no	—
172	C₄×C₁₉	—	8	4	no	—
173	C₄×C₁₉	#381	1	8	yes	—
174	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
175	C₂⁴×C₄	C₂²×C₁₉	1	2	yes	—
176	C₂²×C₄⋊C₄	—	2	4	no	—
177	C₂²×C₄⋊C₄	—	2	4	no	—
178	C₂²×C₄⋊C₄	C₄×C₁₉	1	8	yes	complemented
179	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
180	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
181	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
182	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
183	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
184	C₂²×C₄²	C₂²×C₁₉	1	2	yes	—
185	#380	—	2	4	no	—
186	C₄×C₂²⋊C₄	—	2	4	no	—
187	C₂×#95	C₂²×C₁₉	1	2	yes	—
188	C₂×#95	C₂²×C₁₉	1	2	yes	—
189	C₂×#95	C₂²×C₁₉	1	16	yes	—
190	C₂×C₁₉	—	2	8	no	—
191	C₂×C₁₉	C₂×#381	1	1	yes	characteristic
192	C₂×C₁₉	C₂×#391	1	1	yes	characteristic
193	C₂×C₁₉	#2309	1	1	yes	characteristic
194	C₂×C₁₉	#2345	1	4	yes	—
195	C₂×C₁₉	#2487	1	4	yes	—
196	C₂×C₁₉	#2502	1	2	yes	—
197	C₂×C₁₉	#2504	1	2	yes	—
198	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
199	C₂³×C₄	—	2	8	no	—
200	C₂³×C₄	—	2	4	no	—
201	C₂³×C₄	—	2	4	no	—
202	C₂³×C₄	—	4	8	no	—
203	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
204	C₂³×C₄	C₂×C₄×C₁₉	1	8	yes	—
205	C₂³×C₄	D₄×C₁₉	1	4	yes	—
206	C₂³×C₄	D₄×C₁₉	1	4	yes	—
207	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
208	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
209	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
210	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
211	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
212	C₂×C₄⋊C₄	—	2	32	no	—
213	C₂×C₄⋊C₄	—	2	4	no	—
214	C₂×C₄⋊C₄	—	2	4	no	—
215	C₂×C₄⋊C₄	—	2	4	no	—
216	C₂×C₄⋊C₄	—	2	4	no	—
217	C₂×C₄⋊C₄	—	2	4	no	—
218	C₂×C₄⋊C₄	—	2	8	no	—
219	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	8	yes	—
220	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	8	yes	—
221	C₂×C₂²⋊C₄	—	2	4	no	—
222	C₂×C₂²⋊C₄	—	2	4	no	—
223	C₂×C₂²⋊C₄	—	2	4	no	—
224	C₂×C₂²⋊C₄	—	2	8	no	—
225	C₂×C₂²⋊C₄	Q₈×C₁₉	1	8	yes	—
226	C₂×C₄²	—	2	4	no	—
227	C₂×C₄²	—	2	8	no	—
228	#95	—	2	4	no	—
229	#95	—	2	4	no	—
230	#95	—	4	16	no	—
231	C₁₉	#13924	1	1	yes	characteristic, direct product factor, Sylow
232	C₂⁴	—	2	4	no	—
233	C₂⁴	—	2	4	no	—
234	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
235	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
236	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
237	C₂⁴	C₂×Q₈×C₁₉	1	4	yes	—
238	C₂⁴	#41×C₁₉	1	4	yes	—
239	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	2	16	no	—
242	C₂²×C₄	—	2	16	no	—
243	C₂²×C₄	—	2	16	no	—
244	C₂²×C₄	—	2	16	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	8	no	—
249	C₂²×C₄	—	2	4	no	—
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	16	no	—
252	C₂²×C₄	—	2	4	no	—
253	C₂²×C₄	—	2	8	no	—
254	C₂²×C₄	—	2	8	no	—
255	C₂²×C₄	—	2	8	no	—
256	C₂²×C₄	—	4	16	no	—
257	C₂²×C₄	—	4	16	no	—
258	C₂²×C₄	—	4	16	no	—
259	C₂²×C₄	C₂²⋊C₄×C₁₉	1	16	yes	—
260	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
261	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
262	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
263	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
264	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
265	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
266	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
267	C₂²×C₄	C₂×Q₈×C₁₉	1	8	yes	—
268	C₂²×C₄	#41×C₁₉	1	8	yes	—
269	C₄⋊C₄	—	2	16	no	—
270	C₄⋊C₄	—	2	16	no	—
271	C₄⋊C₄	—	4	8	no	—
272	C₂²⋊C₄	—	2	16	no	—
273	C₂²⋊C₄	—	4	8	no	—
274	C₄²	—	4	8	no	—
275	C₂³	—	2	4	no	—
276	C₂³	—	2	4	no	—
277	C₂³	—	2	4	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	2	4	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	16	no	—
282	C₂³	—	2	16	no	—
283	C₂³	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
284	C₂³	C₄×Q₈×C₁₉	1	8	yes	—
285	C₂³	C₁₉×C₂²⋊Q₈	1	8	yes	—
286	C₂³	C₁₉×#124	1	4	yes	—
287	C₂³	C₁₉×C₄⋊Q₈	1	4	yes	—
288	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
289	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
290	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
291	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
292	C₂³	C₂×#41×C₁₉	1	4	yes	—
293	C₂³	C₂×#41×C₁₉	1	2	yes	—
294	C₂³	C₁₉×H(5,𝔽₂)	1	4	yes	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	32	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	16	no	—
301	C₂×C₄	—	2	8	no	—
302	C₂×C₄	—	2	16	no	—
303	C₂×C₄	—	4	32	no	—
304	C₂×C₄	—	4	4	no	—
305	C₂×C₄	—	4	8	no	—
306	C₂×C₄	—	4	8	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	8	no	—
309	C₂×C₄	—	4	4	no	—
310	C₂×C₄	—	4	4	no	—
311	C₂×C₄	—	4	4	no	—
312	C₂×C₄	—	4	16	no	—
313	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
314	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
315	C₂×C₄	C₁₉×#117	1	8	yes	—
316	C₂×C₄	C₁₉×#123	1	8	yes	—
317	C₂×C₄	C₁₉×#123	1	8	yes	—
318	C₂²	—	2	16	no	—
319	C₂²	—	2	8	no	—
320	C₂²	—	2	8	no	—
321	C₂²	—	2	4	no	—
322	C₂²	—	2	4	no	—
323	C₂²	—	2	16	no	—
324	C₂²	C₁₉×#391	1	8	yes	—
325	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
326	C₂²	C₂×C₁₉×#117	1	2	yes	—
327	C₂²	C₂×C₄×Q₈×C₁₉	1	2	yes	—
328	C₂²	C₁₉×#518	1	2	yes	—
329	C₂²	C₂×C₁₉×C₂²⋊Q₈	1	2	yes	—
330	C₂²	C₂×C₁₉×#123	1	2	yes	—
331	C₂²	C₂×C₁₉×#123	1	2	yes	—
332	C₂²	C₂×C₁₉×#124	1	1	yes	characteristic
333	C₂²	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
334	C₂²	C₁₉×#535	1	2	yes	—
335	C₂²	C₁₉×#535	1	2	yes	—
336	C₂²	C₁₉×#553	1	8	yes	—
337	C₂²	C₁₉×#554	1	8	yes	—
338	C₄	—	2	4	no	—
339	C₄	—	4	8	no	—
340	C₄	—	4	8	no	—
341	C₄	—	8	4	no	—
342	C₄	C₁₉×#381	1	8	yes	—
343	C₂	—	2	8	no	—
344	C₂	C₂×C₁₉×#381	1	1	yes	characteristic
345	C₂	C₂×C₁₉×#391	1	1	yes	characteristic
346	C₂	C₁₉×#2309	1	1	yes	characteristic
347	C₂	C₁₉×#2345	1	4	yes	—
348	C₂	C₁₉×#2487	1	4	yes	—
349	C₂	C₁₉×#2502	1	2	yes	—
350	C₂	C₁₉×#2504	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂⁵×C₁₉	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1445	C₂	semidirect
5. C₁₉×C₄⋊#95	C₂	semidirect
11. C₂²×C₄⋊C₄×C₁₉	C₄	semidirect
99. #13924	C₁₉	direct (N × H)
146. #1445	C₂×C₁₉	semidirect
147. C₄⋊#95	C₂×C₁₉	semidirect
178. C₂²×C₄⋊C₄	C₄×C₁₉	semidirect
231. C₁₉	#13924	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₄⋊C₄×C₁₉	2
C₂×C₁₉×#380	2
C₂×C₄×C₂²⋊C₄×C₁₉	2
C₁₉×#1445	2
C₁₉×C₄⋊#95	2
C₁₉×C₂²⋊#95	2
#13924	19

Subgroups — C19×#13924 #18019883

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13924 #18019883