Subgroups — C₁₉×#20634 #18026593

Order 4864.

1462 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#520	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#410	C₂	1	2	yes	maximal
3	C₁₉×#2316	C₂	1	2	yes	maximal, complemented
4	C₁₉×#1799	C₂	1	8	yes	maximal, complemented
5	C₁₉×#1740	C₂	1	2	yes	maximal, complemented
6	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
7	C₁₉×#520	—	2	8	no	—
8	C₂×C₄×Q₈×C₁₉	C₄	1	2	yes	complemented
9	C₂×C₄×D₄×C₁₉	C₄	1	2	yes	complemented
10	C₂×C₄×D₄×C₁₉	C₂²	1	4	yes	—
11	C₂×C₁₉×#117	C₄	1	2	yes	complemented
12	C₂×C₁₉×#117	C₂²	1	4	yes	—
13	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
14	C₂²×C₄⋊C₄×C₁₉	C₄	1	2	yes	complemented
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₁₉×#410	—	2	8	no	—
17	C₂×C₁₉×#99	C₂²	1	8	yes	—
18	C₁₉×#389	—	2	8	no	—
19	C₁₉×#380	C₂²	1	8	yes	—
20	C₁₉×#342	C₂²	1	8	yes	—
21	C₂×#41×C₁₉	—	2	4	no	—
22	C₂×#41×C₁₉	—	2	4	no	—
23	C₂×#41×C₁₉	D₄	1	4	yes	—
24	C₂×#41×C₁₉	Q₈	1	4	yes	—
25	C₂²×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
26	C₂²×D₄×C₁₉	C₂×C₄	1	1	yes	characteristic
27	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
28	C₂³×C₄×C₁₉	C₂×C₄	1	2	yes	—
29	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
30	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
31	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
32	C₄×Q₈×C₁₉	—	2	8	no	—
33	C₄×D₄×C₁₉	—	2	16	no	—
34	C₄×D₄×C₁₉	—	2	8	no	—
35	C₁₉×#117	—	2	4	no	—
36	C₁₉×#117	—	2	8	no	—
37	C₁₉×#117	—	2	8	no	—
38	C₁₉×#117	—	2	8	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
40	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
41	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
42	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
44	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
46	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₁₉	D₄	1	8	yes	—
48	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
49	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
50	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
51	C₂×C₄²×C₁₉	—	2	4	no	—
52	C₂×C₄²×C₁₉	C₂×C₄	1	4	yes	—
53	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
54	C₁₉×#99	—	2	16	no	—
55	C₁₉×#95	—	2	8	no	—
56	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
57	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
58	#41×C₁₉	—	2	16	no	—
59	#41×C₁₉	—	2	16	no	—
60	C₂×Q₈×C₁₉	—	2	2	no	—
61	C₂×Q₈×C₁₉	—	2	2	no	—
62	C₂×Q₈×C₁₉	C₄⋊C₄	1	4	yes	complemented
63	C₂×D₄×C₁₉	—	2	4	no	—
64	C₂×D₄×C₁₉	—	2	4	no	—
65	C₂×D₄×C₁₉	—	2	2	no	—
66	C₂×D₄×C₁₉	—	2	2	no	—
67	C₂×D₄×C₁₉	C₄⋊C₄	1	4	yes	complemented
68	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
69	C₂×D₄×C₁₉	C₂×Q₈	1	4	yes	—
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	8	no	—
74	C₂²×C₄×C₁₉	—	8	2	no	—
75	C₂²×C₄×C₁₉	—	8	4	no	—
76	C₂²×C₄×C₁₉	C₄⋊C₄	1	8	yes	complemented
77	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
78	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
79	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
81	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₉	C₂×D₄	1	8	yes	—
84	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
85	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
87	C₂²×C₄×C₁₉	#41	1	4	yes	—
88	C₄⋊C₄×C₁₉	—	2	2	no	—
89	C₄⋊C₄×C₁₉	—	2	8	no	—
90	C₄⋊C₄×C₁₉	—	2	2	no	—
91	C₄⋊C₄×C₁₉	—	4	8	no	—
92	C₄⋊C₄×C₁₉	—	8	8	no	—
93	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	8	yes	—
94	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	8	yes	—
95	C₂²⋊C₄×C₁₉	—	2	4	no	—
96	C₂²⋊C₄×C₁₉	—	2	8	no	—
97	C₂²⋊C₄×C₁₉	—	2	8	no	—
98	C₂²⋊C₄×C₁₉	—	2	8	no	—
99	C₄²×C₁₉	—	2	8	no	—
100	C₄²×C₁₉	—	2	4	no	—
101	C₄²×C₁₉	—	4	8	no	—
102	#20634	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
103	C₂³×C₁₉	—	2	2	no	—
104	C₂³×C₁₉	—	2	2	no	—
105	C₂³×C₁₉	—	4	1	no	—
106	C₂³×C₁₉	—	4	1	no	—
107	C₂³×C₁₉	—	4	2	no	—
108	C₂³×C₁₉	—	4	2	no	—
109	C₂³×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
110	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
111	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
112	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
113	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
114	C₂³×C₁₉	C₂×#41	1	2	yes	—
115	Q₈×C₁₉	—	2	8	no	—
116	D₄×C₁₉	—	2	8	no	—
117	D₄×C₁₉	—	2	8	no	—
118	D₄×C₁₉	—	2	8	no	—
119	C₂×C₄×C₁₉	—	2	2	no	—
120	C₂×C₄×C₁₉	—	2	2	no	—
121	C₂×C₄×C₁₉	—	2	16	no	—
122	C₂×C₄×C₁₉	—	2	2	no	—
123	C₂×C₄×C₁₉	—	2	2	no	—
124	C₂×C₄×C₁₉	—	4	8	no	—
125	C₂×C₄×C₁₉	—	4	4	no	—
126	C₂×C₄×C₁₉	—	4	2	no	—
127	C₂×C₄×C₁₉	—	4	2	no	—
128	C₂×C₄×C₁₉	—	4	8	no	—
129	C₂×C₄×C₁₉	—	4	8	no	—
130	C₂×C₄×C₁₉	—	4	8	no	—
131	C₂×C₄×C₁₉	—	8	8	no	—
132	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	8	yes	—
133	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
134	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
135	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
136	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
137	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	2	yes	—
138	C₂×C₄×C₁₉	#117	1	2	yes	—
139	C₂×C₄×C₁₉	#117	1	2	yes	—
140	C₂×C₄×C₁₉	#121	1	8	yes	—
141	C₂×C₄×C₁₉	C₂²⋊Q₈	1	8	yes	—
142	C₂×#520	C₂×C₁₉	1	1	yes	characteristic
143	C₂×#410	C₂×C₁₉	1	2	yes	—
144	#2316	C₂×C₁₉	1	2	yes	complemented
145	#1799	C₂×C₁₉	1	8	yes	complemented
146	#1740	C₂×C₁₉	1	2	yes	complemented
147	C₂²×C₁₉	—	2	2	no	—
148	C₂²×C₁₉	—	2	1	no	—
149	C₂²×C₁₉	—	2	2	no	—
150	C₂²×C₁₉	—	2	1	no	—
151	C₂²×C₁₉	—	2	4	no	—
152	C₂²×C₁₉	—	4	1	no	—
153	C₂²×C₁₉	—	4	1	no	—
154	C₂²×C₁₉	—	4	2	no	—
155	C₂²×C₁₉	—	4	4	no	—
156	C₂²×C₁₉	—	4	4	no	—
157	C₂²×C₁₉	—	4	2	no	—
158	C₂²×C₁₉	—	4	2	no	—
159	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
160	C₂²×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
161	C₂²×C₁₉	C₂×#117	1	1	yes	characteristic
162	C₂²×C₁₉	C₂×#121	1	2	yes	—
163	C₂²×C₁₉	C₂×C₂²⋊Q₈	1	2	yes	—
164	C₄×C₁₉	—	2	8	no	—
165	C₄×C₁₉	—	2	4	no	—
166	C₄×C₁₉	—	4	2	no	—
167	C₄×C₁₉	—	4	2	no	—
168	C₄×C₁₉	—	8	8	no	—
169	C₄×C₁₉	#380	1	4	yes	—
170	C₄×C₁₉	#380	1	4	yes	—
171	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
172	#520	—	2	8	no	—
173	C₂×C₄×Q₈	C₄×C₁₉	1	2	yes	complemented
174	C₂×C₄×D₄	C₄×C₁₉	1	2	yes	complemented
175	C₂×C₄×D₄	C₂²×C₁₉	1	4	yes	—
176	C₂×#117	C₄×C₁₉	1	2	yes	complemented
177	C₂×#117	C₂²×C₁₉	1	4	yes	—
178	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
179	C₂²×C₄⋊C₄	C₄×C₁₉	1	2	yes	complemented
180	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
181	#410	—	2	8	no	—
182	C₂×#99	C₂²×C₁₉	1	8	yes	—
183	#389	—	2	8	no	—
184	#380	C₂²×C₁₉	1	8	yes	—
185	#342	C₂²×C₁₉	1	8	yes	—
186	C₂×C₁₉	—	2	2	no	—
187	C₂×C₁₉	—	2	1	no	—
188	C₂×C₁₉	—	2	1	no	—
189	C₂×C₁₉	—	2	2	no	—
190	C₂×C₁₉	—	4	4	no	—
191	C₂×C₁₉	C₂×#380	1	1	yes	characteristic
192	C₂×C₁₉	#2883	1	1	yes	characteristic
193	C₂×C₁₉	#2884	1	1	yes	characteristic
194	C₂×#41	—	2	4	no	—
195	C₂×#41	—	2	4	no	—
196	C₂×#41	D₄×C₁₉	1	4	yes	—
197	C₂×#41	Q₈×C₁₉	1	4	yes	—
198	C₂²×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
199	C₂²×D₄	C₂×C₄×C₁₉	1	1	yes	characteristic
200	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
201	C₂³×C₄	C₂×C₄×C₁₉	1	2	yes	—
202	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
203	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
204	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
205	C₄×Q₈	—	2	8	no	—
206	C₄×D₄	—	2	16	no	—
207	C₄×D₄	—	2	8	no	—
208	#117	—	2	4	no	—
209	#117	—	2	8	no	—
210	#117	—	2	8	no	—
211	#117	—	2	8	no	—
212	C₂×C₄⋊C₄	—	2	8	no	—
213	C₂×C₄⋊C₄	—	2	4	no	—
214	C₂×C₄⋊C₄	—	2	8	no	—
215	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
216	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
217	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
218	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
219	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	2	yes	—
220	C₂×C₄⋊C₄	D₄×C₁₉	1	8	yes	—
221	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
222	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
223	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
224	C₂×C₄²	—	2	4	no	—
225	C₂×C₄²	C₂×C₄×C₁₉	1	4	yes	—
226	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
227	#99	—	2	16	no	—
228	#95	—	2	8	no	—
229	C₁₉	#20634	1	1	yes	characteristic, direct product factor, Sylow
230	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
231	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
232	#41	—	2	16	no	—
233	#41	—	2	16	no	—
234	C₂×Q₈	—	2	2	no	—
235	C₂×Q₈	—	2	2	no	—
236	C₂×Q₈	C₄⋊C₄×C₁₉	1	4	yes	complemented
237	C₂×D₄	—	2	4	no	—
238	C₂×D₄	—	2	4	no	—
239	C₂×D₄	—	2	2	no	—
240	C₂×D₄	—	2	2	no	—
241	C₂×D₄	C₄⋊C₄×C₁₉	1	4	yes	complemented
242	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
243	C₂×D₄	C₂×Q₈×C₁₉	1	4	yes	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	8	no	—
247	C₂²×C₄	—	2	8	no	—
248	C₂²×C₄	—	8	2	no	—
249	C₂²×C₄	—	8	4	no	—
250	C₂²×C₄	C₄⋊C₄×C₁₉	1	8	yes	complemented
251	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
252	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
253	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
254	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
255	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
256	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
257	C₂²×C₄	C₂×D₄×C₁₉	1	8	yes	—
258	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
259	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
260	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
261	C₂²×C₄	#41×C₁₉	1	4	yes	—
262	C₄⋊C₄	—	2	2	no	—
263	C₄⋊C₄	—	2	8	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	4	8	no	—
266	C₄⋊C₄	—	8	8	no	—
267	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	8	yes	—
268	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	8	yes	—
269	C₂²⋊C₄	—	2	4	no	—
270	C₂²⋊C₄	—	2	8	no	—
271	C₂²⋊C₄	—	2	8	no	—
272	C₂²⋊C₄	—	2	8	no	—
273	C₄²	—	2	8	no	—
274	C₄²	—	2	4	no	—
275	C₄²	—	4	8	no	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	2	no	—
278	C₂³	—	4	1	no	—
279	C₂³	—	4	1	no	—
280	C₂³	—	4	2	no	—
281	C₂³	—	4	2	no	—
282	C₂³	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
283	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
284	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
285	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
286	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
287	C₂³	C₂×#41×C₁₉	1	2	yes	—
288	Q₈	—	2	8	no	—
289	D₄	—	2	8	no	—
290	D₄	—	2	8	no	—
291	D₄	—	2	8	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	16	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	4	8	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	4	2	no	—
301	C₂×C₄	—	4	8	no	—
302	C₂×C₄	—	4	8	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	—	8	8	no	—
305	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	8	yes	—
306	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
307	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
308	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
309	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
310	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	2	yes	—
311	C₂×C₄	C₁₉×#117	1	2	yes	—
312	C₂×C₄	C₁₉×#117	1	2	yes	—
313	C₂×C₄	C₁₉×#121	1	8	yes	—
314	C₂×C₄	C₁₉×C₂²⋊Q₈	1	8	yes	—
315	C₂²	—	2	2	no	—
316	C₂²	—	2	1	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	2	1	no	—
319	C₂²	—	2	4	no	—
320	C₂²	—	4	1	no	—
321	C₂²	—	4	1	no	—
322	C₂²	—	4	2	no	—
323	C₂²	—	4	4	no	—
324	C₂²	—	4	4	no	—
325	C₂²	—	4	2	no	—
326	C₂²	—	4	2	no	—
327	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
328	C₂²	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
329	C₂²	C₂×C₁₉×#117	1	1	yes	characteristic
330	C₂²	C₂×C₁₉×#121	1	2	yes	—
331	C₂²	C₂×C₁₉×C₂²⋊Q₈	1	2	yes	—
332	C₄	—	2	4	no	—
333	C₄	—	2	8	no	—
334	C₄	—	4	2	no	—
335	C₄	—	4	2	no	—
336	C₄	—	8	8	no	—
337	C₄	C₁₉×#380	1	4	yes	—
338	C₄	C₁₉×#380	1	4	yes	—
339	C₂	—	2	2	no	—
340	C₂	—	2	1	no	—
341	C₂	—	2	1	no	—
342	C₂	—	2	2	no	—
343	C₂	—	4	4	no	—
344	C₂	C₂×C₁₉×#380	1	1	yes	characteristic
345	C₂	C₁₉×#2883	1	1	yes	characteristic
346	C₂	C₁₉×#2884	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×C₄⋊C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₉×#2316	C₂	semidirect
4. C₁₉×#1799	C₂	semidirect
5. C₁₉×#1740	C₂	semidirect
8. C₂×C₄×Q₈×C₁₉	C₄	semidirect
9. C₂×C₄×D₄×C₁₉	C₄	semidirect
11. C₂×C₁₉×#117	C₄	semidirect
14. C₂²×C₄⋊C₄×C₁₉	C₄	semidirect
62. C₂×Q₈×C₁₉	C₄⋊C₄	semidirect
67. C₂×D₄×C₁₉	C₄⋊C₄	semidirect
76. C₂²×C₄×C₁₉	C₄⋊C₄	semidirect
102. #20634	C₁₉	direct (N × H)
144. #2316	C₂×C₁₉	semidirect
145. #1799	C₂×C₁₉	semidirect
146. #1740	C₂×C₁₉	semidirect
173. C₂×C₄×Q₈	C₄×C₁₉	semidirect
174. C₂×C₄×D₄	C₄×C₁₉	semidirect
176. C₂×#117	C₄×C₁₉	semidirect
179. C₂²×C₄⋊C₄	C₄×C₁₉	semidirect
229. C₁₉	#20634	direct (N × H)
236. C₂×Q₈	C₄⋊C₄×C₁₉	semidirect
241. C₂×D₄	C₄⋊C₄×C₁₉	semidirect
250. C₂²×C₄	C₄⋊C₄×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#520	2
C₂×C₁₉×#410	2
C₁₉×#2316	2
C₁₉×#1799	2
C₁₉×#1740	2
#20634	19

Subgroups — C19×#20634 #18026593

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#20634 #18026593