Subgroups — C₁₉×#23482 #18029441

Order 4864.

1650 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#525	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#417	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#417	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#407	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₉×#380	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2036	C₂	1	2	yes	maximal, complemented
8	C₁₉×#2035	C₂	1	2	yes	maximal, complemented
9	C₁₉×#2034	C₂	1	2	yes	maximal, complemented
10	C₁₉×#2033	C₂	1	2	yes	maximal, complemented
11	C₁₉×#1736	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
16	C₁₉×#525	—	2	4	no	—
17	C₁₉×#525	—	2	4	no	—
18	C₂×C₁₉×#123	—	2	1	no	—
19	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#120	—	2	1	no	—
24	C₂×C₄×D₄×C₁₉	—	2	1	no	—
25	C₂×C₄×D₄×C₁₉	—	2	1	no	—
26	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
27	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂²×C₂²⋊C₄×C₁₉	—	2	1	no	—
30	C₁₉×#428	—	2	4	no	—
31	C₂×C₁₉×#107	C₂²	1	2	yes	complemented
32	C₂×C₁₉×#106	C₂²	1	2	yes	complemented
33	C₁₉×#417	—	2	4	no	—
34	C₁₉×#417	—	2	4	no	—
35	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
36	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
37	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
38	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
39	C₁₉×#407	—	2	4	no	—
40	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
41	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
42	C₁₉×#380	—	2	1	no	—
43	C₁₉×#380	—	2	1	no	—
44	C₁₉×#380	C₂²	1	2	yes	—
45	C₁₉×#380	C₂²	1	2	yes	—
46	C₂×C₁₉×#95	—	2	1	no	—
47	C₁₉×#340	C₂²	1	2	yes	complemented
48	C₁₉×#340	C₂²	1	2	yes	complemented
49	C₂⁵×C₁₉	D₄	1	1	yes	characteristic
50	C₂×#41×C₁₉	—	2	2	no	—
51	C₂×#41×C₁₉	—	2	2	no	—
52	C₂×#41×C₁₉	—	2	2	no	—
53	C₂×#41×C₁₉	—	2	2	no	—
54	C₂×#41×C₁₉	—	2	2	no	—
55	C₂×#41×C₁₉	D₄	1	4	yes	—
56	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
57	C₂²×D₄×C₁₉	—	2	1	no	—
58	C₂²×D₄×C₁₉	—	2	1	no	—
59	C₂²×D₄×C₁₉	—	2	1	no	—
60	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
61	C₂³×C₄×C₁₉	—	2	2	no	—
62	C₂³×C₄×C₁₉	—	2	1	no	—
63	C₂³×C₄×C₁₉	—	2	2	no	—
64	C₂³×C₄×C₁₉	—	2	2	no	—
65	C₂³×C₄×C₁₉	—	2	2	no	—
66	C₂³×C₄×C₁₉	—	2	2	no	—
67	C₂³×C₄×C₁₉	—	2	2	no	—
68	C₂³×C₄×C₁₉	—	2	1	no	—
69	C₂³×C₄×C₁₉	—	2	1	no	—
70	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
71	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
72	C₂³×C₄×C₁₉	D₄	1	1	yes	characteristic
73	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
76	C₂×M₁₆×C₁₉	—	2	2	no	—
77	C₂×M₁₆×C₁₉	—	2	2	no	—
78	C₂×M₁₆×C₁₉	—	2	2	no	—
79	C₂×M₁₆×C₁₉	—	2	2	no	—
80	C₂×M₁₆×C₁₉	—	2	2	no	—
81	C₂×M₁₆×C₁₉	D₄	1	4	yes	complemented
82	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
83	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
84	C₁₉×#123	—	2	8	no	—
85	C₁₉×C₂²⋊Q₈	—	2	2	no	—
86	C₁₉×C₂²⋊Q₈	—	2	2	no	—
87	C₁₉×C₂²⋊Q₈	—	2	2	no	—
88	C₁₉×C₂²⋊Q₈	—	2	2	no	—
89	C₁₉×#121	—	2	2	no	—
90	C₁₉×#121	—	2	2	no	—
91	C₁₉×#121	—	2	2	no	—
92	C₁₉×#121	—	2	2	no	—
93	C₁₉×#120	—	2	8	no	—
94	C₄×D₄×C₁₉	—	2	8	no	—
95	C₄×D₄×C₁₉	—	2	8	no	—
96	C₁₉×#117	—	2	2	no	—
97	C₁₉×#117	D₄	1	4	yes	—
98	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
99	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
101	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
102	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
103	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
104	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
107	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
108	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
109	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
110	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
111	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
112	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
113	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
114	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
115	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
116	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
117	C₂×C₂²⋊C₄×C₁₉	—	4	4	no	—
118	C₂×C₄²×C₁₉	—	2	1	no	—
119	C₁₉×#107	—	2	4	no	—
120	C₁₉×#106	—	2	4	no	—
121	C₁₉×#103	—	2	4	no	—
122	C₁₉×#103	—	2	4	no	—
123	C₁₉×#102	—	2	4	no	—
124	C₁₉×#102	—	2	4	no	—
125	C₁₉×C₂²⋊C₈	—	2	4	no	—
126	C₁₉×C₂²⋊C₈	—	2	4	no	—
127	C₁₉×#95	—	2	2	no	—
128	C₁₉×#95	—	2	2	no	—
129	C₂⁴×C₁₉	—	2	2	no	—
130	C₂⁴×C₁₉	—	2	2	no	—
131	C₂⁴×C₁₉	—	2	2	no	—
132	C₂⁴×C₁₉	—	2	2	no	—
133	C₂⁴×C₁₉	—	2	2	no	—
134	C₂⁴×C₁₉	—	2	1	no	—
135	C₂⁴×C₁₉	—	4	1	no	—
136	C₂⁴×C₁₉	—	4	1	no	—
137	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
140	#41×C₁₉	—	2	8	no	—
141	#41×C₁₉	—	2	8	no	—
142	#41×C₁₉	—	4	4	no	—
143	#41×C₁₉	—	4	4	no	—
144	C₂×Q₈×C₁₉	—	2	1	no	—
145	C₂×Q₈×C₁₉	—	2	1	no	—
146	C₂×Q₈×C₁₉	—	2	1	no	—
147	C₂×Q₈×C₁₉	—	2	1	no	—
148	C₂×Q₈×C₁₉	—	2	1	no	—
149	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
150	C₂×D₄×C₁₉	—	2	4	no	—
151	C₂×D₄×C₁₉	—	2	4	no	—
152	C₂×D₄×C₁₉	—	2	4	no	—
153	C₂×D₄×C₁₉	—	2	1	no	—
154	C₂×D₄×C₁₉	—	2	1	no	—
155	C₂×D₄×C₁₉	—	2	1	no	—
156	C₂×D₄×C₁₉	—	2	1	no	—
157	C₂×D₄×C₁₉	—	2	1	no	—
158	C₂×D₄×C₁₉	—	4	2	no	—
159	C₂×D₄×C₁₉	—	4	2	no	—
160	C₂×D₄×C₁₉	—	4	2	no	—
161	C₂×D₄×C₁₉	—	4	2	no	—
162	C₂×D₄×C₁₉	—	4	2	no	—
163	C₂×D₄×C₁₉	—	4	2	no	—
164	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
165	C₂²×C₄×C₁₉	—	2	2	no	—
166	C₂²×C₄×C₁₉	—	2	2	no	—
167	C₂²×C₄×C₁₉	—	2	2	no	—
168	C₂²×C₄×C₁₉	—	2	1	no	—
169	C₂²×C₄×C₁₉	—	2	1	no	—
170	C₂²×C₄×C₁₉	—	2	1	no	—
171	C₂²×C₄×C₁₉	—	2	2	no	—
172	C₂²×C₄×C₁₉	—	2	2	no	—
173	C₂²×C₄×C₁₉	—	2	4	no	—
174	C₂²×C₄×C₁₉	—	2	2	no	—
175	C₂²×C₄×C₁₉	—	2	2	no	—
176	C₂²×C₄×C₁₉	—	2	2	no	—
177	C₂²×C₄×C₁₉	—	2	2	no	—
178	C₂²×C₄×C₁₉	—	2	1	no	—
179	C₂²×C₄×C₁₉	—	2	1	no	—
180	C₂²×C₄×C₁₉	—	2	1	no	—
181	C₂²×C₄×C₁₉	—	2	1	no	—
182	C₂²×C₄×C₁₉	—	2	1	no	—
183	C₂²×C₄×C₁₉	—	2	1	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	1	no	—
186	C₂²×C₄×C₁₉	—	2	1	no	—
187	C₂²×C₄×C₁₉	—	2	1	no	—
188	C₂²×C₄×C₁₉	—	2	1	no	—
189	C₂²×C₄×C₁₉	—	2	1	no	—
190	C₂²×C₄×C₁₉	—	2	2	no	—
191	C₂²×C₄×C₁₉	—	2	2	no	—
192	C₂²×C₄×C₁₉	—	4	4	no	—
193	C₂²×C₄×C₁₉	—	4	4	no	—
194	C₂²×C₄×C₁₉	—	4	2	no	—
195	C₂²×C₄×C₁₉	—	4	4	no	—
196	C₂²×C₄×C₁₉	—	4	2	no	—
197	C₂²×C₄×C₁₉	—	4	4	no	—
198	C₂²×C₄×C₁₉	—	4	2	no	—
199	C₂²×C₄×C₁₉	—	4	2	no	—
200	C₂²×C₄×C₁₉	—	4	2	no	—
201	C₂²×C₄×C₁₉	—	4	2	no	—
202	C₂²×C₄×C₁₉	—	4	2	no	—
203	C₂²×C₄×C₁₉	—	4	2	no	—
204	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
206	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
208	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
209	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
210	C₂²×C₄×C₁₉	#41	1	2	yes	—
211	C₂²×C₄×C₁₉	#41	1	2	yes	—
212	C₂²×C₄×C₁₉	#41	1	2	yes	—
213	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
214	M₁₆×C₁₉	—	2	8	no	—
215	M₁₆×C₁₉	—	4	4	no	—
216	C₂×C₈×C₁₉	—	2	2	no	—
217	C₂×C₈×C₁₉	—	2	2	no	—
218	C₂×C₈×C₁₉	—	2	2	no	—
219	C₂×C₈×C₁₉	—	2	2	no	—
220	C₂×C₈×C₁₉	—	2	2	no	—
221	C₂×C₈×C₁₉	C₂×D₄	1	4	yes	—
222	C₄⋊C₄×C₁₉	—	2	4	no	—
223	C₄⋊C₄×C₁₉	—	2	4	no	—
224	C₄⋊C₄×C₁₉	—	2	1	no	—
225	C₄⋊C₄×C₁₉	—	2	1	no	—
226	C₄⋊C₄×C₁₉	—	2	2	no	—
227	C₄⋊C₄×C₁₉	—	2	2	no	—
228	C₄⋊C₄×C₁₉	—	2	2	no	—
229	C₄⋊C₄×C₁₉	—	2	2	no	—
230	C₄⋊C₄×C₁₉	—	4	2	no	—
231	C₄⋊C₄×C₁₉	—	4	2	no	—
232	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
233	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
234	C₂²⋊C₄×C₁₉	—	2	4	no	—
235	C₂²⋊C₄×C₁₉	—	2	4	no	—
236	C₂²⋊C₄×C₁₉	—	2	4	no	—
237	C₂²⋊C₄×C₁₉	—	2	4	no	—
238	C₂²⋊C₄×C₁₉	—	2	4	no	—
239	C₂²⋊C₄×C₁₉	—	4	4	no	—
240	C₂²⋊C₄×C₁₉	—	4	4	no	—
241	C₄²×C₁₉	—	2	4	no	—
242	#23482	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
243	C₂³×C₁₉	—	2	1	no	—
244	C₂³×C₁₉	—	2	1	no	—
245	C₂³×C₁₉	—	2	1	no	—
246	C₂³×C₁₉	—	2	1	no	—
247	C₂³×C₁₉	—	2	8	no	—
248	C₂³×C₁₉	—	2	1	no	—
249	C₂³×C₁₉	—	2	1	no	—
250	C₂³×C₁₉	—	2	1	no	—
251	C₂³×C₁₉	—	2	1	no	—
252	C₂³×C₁₉	—	2	1	no	—
253	C₂³×C₁₉	—	2	1	no	—
254	C₂³×C₁₉	—	2	1	no	—
255	C₂³×C₁₉	—	2	1	no	—
256	C₂³×C₁₉	—	2	1	no	—
257	C₂³×C₁₉	—	2	1	no	—
258	C₂³×C₁₉	—	2	1	no	—
259	C₂³×C₁₉	—	2	1	no	—
260	C₂³×C₁₉	—	2	2	no	—
261	C₂³×C₁₉	—	4	4	no	—
262	C₂³×C₁₉	—	4	4	no	—
263	C₂³×C₁₉	—	4	4	no	—
264	C₂³×C₁₉	—	4	4	no	—
265	C₂³×C₁₉	—	4	4	no	—
266	C₂³×C₁₉	—	4	4	no	—
267	C₂³×C₁₉	—	4	1	no	—
268	C₂³×C₁₉	—	4	1	no	—
269	C₂³×C₁₉	—	4	1	no	—
270	C₂³×C₁₉	—	4	1	no	—
271	C₂³×C₁₉	—	4	1	no	—
272	C₂³×C₁₉	—	4	1	no	—
273	C₂³×C₁₉	#120	1	2	yes	—
274	C₂³×C₁₉	#121	1	2	yes	—
275	C₂³×C₁₉	#123	1	2	yes	—
276	C₂³×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
277	C₂³×C₁₉	#137	1	2	yes	—
278	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
279	Q₈×C₁₉	—	2	2	no	—
280	Q₈×C₁₉	—	2	2	no	—
281	Q₈×C₁₉	—	4	1	no	—
282	Q₈×C₁₉	—	4	1	no	—
283	D₄×C₁₉	—	2	2	no	—
284	D₄×C₁₉	—	2	2	no	—
285	D₄×C₁₉	—	4	8	no	—
286	D₄×C₁₉	—	4	8	no	—
287	D₄×C₁₉	—	4	8	no	—
288	D₄×C₁₉	—	4	1	no	—
289	D₄×C₁₉	—	4	1	no	—
290	C₂×C₄×C₁₉	—	2	2	no	—
291	C₂×C₄×C₁₉	—	2	2	no	—
292	C₂×C₄×C₁₉	—	2	1	no	—
293	C₂×C₄×C₁₉	—	2	1	no	—
294	C₂×C₄×C₁₉	—	2	2	no	—
295	C₂×C₄×C₁₉	—	2	1	no	—
296	C₂×C₄×C₁₉	—	2	1	no	—
297	C₂×C₄×C₁₉	—	2	1	no	—
298	C₂×C₄×C₁₉	—	2	1	no	—
299	C₂×C₄×C₁₉	—	4	1	no	—
300	C₂×C₄×C₁₉	—	4	1	no	—
301	C₂×C₄×C₁₉	—	4	1	no	—
302	C₂×C₄×C₁₉	—	4	1	no	—
303	C₂×C₄×C₁₉	—	4	1	no	—
304	C₂×C₄×C₁₉	—	4	1	no	—
305	C₂×C₄×C₁₉	—	4	4	no	—
306	C₂×C₄×C₁₉	—	4	1	no	—
307	C₂×C₄×C₁₉	—	4	1	no	—
308	C₂×C₄×C₁₉	—	4	1	no	—
309	C₂×C₄×C₁₉	—	4	1	no	—
310	C₂×C₄×C₁₉	—	4	1	no	—
311	C₂×C₄×C₁₉	—	4	1	no	—
312	C₂×C₄×C₁₉	—	4	1	no	—
313	C₂×C₄×C₁₉	—	4	1	no	—
314	C₂×C₄×C₁₉	—	4	4	no	—
315	C₂×C₄×C₁₉	—	4	4	no	—
316	C₂×C₄×C₁₉	—	4	8	no	—
317	C₂×C₄×C₁₉	—	4	2	no	—
318	C₂×C₄×C₁₉	—	4	2	no	—
319	C₂×C₄×C₁₉	—	4	2	no	—
320	C₂×C₄×C₁₉	—	4	2	no	—
321	C₂×C₄×C₁₉	—	4	2	no	—
322	C₂×C₄×C₁₉	—	4	2	no	—
323	C₂×C₄×C₁₉	—	8	4	no	—
324	C₂×C₄×C₁₉	—	8	4	no	—
325	C₂×C₄×C₁₉	#120	1	2	yes	—
326	C₂×C₄×C₁₉	#121	1	4	yes	—
327	C₂×C₄×C₁₉	#121	1	4	yes	—
328	C₂×C₄×C₁₉	#121	1	2	yes	—
329	C₂×C₄×C₁₉	#123	1	4	yes	—
330	C₂×C₄×C₁₉	#123	1	2	yes	—
331	C₂×C₄×C₁₉	#124	1	4	yes	—
332	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
334	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
336	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
337	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
338	C₈×C₁₉	—	2	4	no	—
339	C₈×C₁₉	—	4	2	no	—
340	C₂×#525	C₂×C₁₉	1	1	yes	characteristic
341	C₂×#428	C₂×C₁₉	1	1	yes	characteristic, complemented
342	C₂×#417	C₂×C₁₉	1	1	yes	characteristic, complemented
343	C₂×#417	C₂×C₁₉	1	1	yes	characteristic, complemented
344	C₂×#407	C₂×C₁₉	1	1	yes	characteristic, complemented
345	C₂×#380	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#2036	C₂×C₁₉	1	2	yes	complemented
347	#2035	C₂×C₁₉	1	2	yes	complemented
348	#2034	C₂×C₁₉	1	2	yes	complemented
349	#2033	C₂×C₁₉	1	2	yes	complemented
350	#1736	C₂×C₁₉	1	1	yes	characteristic, complemented
351	C₂²×C₁₉	—	2	2	no	—
352	C₂²×C₁₉	—	2	2	no	—
353	C₂²×C₁₉	—	2	2	no	—
354	C₂²×C₁₉	—	2	2	no	—
355	C₂²×C₁₉	—	2	2	no	—
356	C₂²×C₁₉	—	2	2	no	—
357	C₂²×C₁₉	—	2	2	no	—
358	C₂²×C₁₉	—	2	2	no	—
359	C₂²×C₁₉	—	2	2	no	—
360	C₂²×C₁₉	—	2	2	no	—
361	C₂²×C₁₉	—	2	2	no	—
362	C₂²×C₁₉	—	2	2	no	—
363	C₂²×C₁₉	—	4	16	no	—
364	C₂²×C₁₉	—	4	1	no	—
365	C₂²×C₁₉	—	4	1	no	—
366	C₂²×C₁₉	—	4	1	no	—
367	C₂²×C₁₉	—	4	1	no	—
368	C₂²×C₁₉	—	4	1	no	—
369	C₂²×C₁₉	—	4	1	no	—
370	C₂²×C₁₉	—	4	1	no	—
371	C₂²×C₁₉	—	4	1	no	—
372	C₂²×C₁₉	—	4	2	no	—
373	C₂²×C₁₉	—	4	2	no	—
374	C₂²×C₁₉	—	4	2	no	—
375	C₂²×C₁₉	—	8	1	no	—
376	C₂²×C₁₉	—	8	1	no	—
377	C₂²×C₁₉	—	8	1	no	—
378	C₂²×C₁₉	—	8	1	no	—
379	C₂²×C₁₉	#394	1	4	yes	—
380	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
381	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
382	C₂²×C₁₉	C₂×#123	1	1	yes	characteristic
383	C₂²×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
384	C₂²×C₁₉	C₂×#137	1	1	yes	characteristic
385	C₂²×C₁₉	#575	1	1	yes	characteristic
386	C₂²×C₁₉	#575	1	1	yes	characteristic
387	C₄×C₁₉	—	4	1	no	—
388	C₄×C₁₉	—	4	1	no	—
389	C₄×C₁₉	—	4	2	no	—
390	C₄×C₁₉	—	4	2	no	—
391	C₄×C₁₉	—	4	2	no	—
392	C₄×C₁₉	—	8	2	no	—
393	C₄×C₁₉	—	8	2	no	—
394	C₄×C₁₉	#394	1	4	yes	—
395	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
396	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
397	C₄×C₁₉	C₂×#123	1	1	yes	characteristic
398	C₄×C₁₉	C₂×#124	1	1	yes	characteristic
399	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
400	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
401	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
402	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
403	#525	—	2	4	no	—
404	#525	—	2	4	no	—
405	C₂×#123	—	2	1	no	—
406	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
407	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
408	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
409	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
410	C₂×#120	—	2	1	no	—
411	C₂×C₄×D₄	—	2	1	no	—
412	C₂×C₄×D₄	—	2	1	no	—
413	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
414	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
415	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
416	C₂²×C₂²⋊C₄	—	2	1	no	—
417	#428	—	2	4	no	—
418	C₂×#107	C₂²×C₁₉	1	2	yes	complemented
419	C₂×#106	C₂²×C₁₉	1	2	yes	complemented
420	#417	—	2	4	no	—
421	#417	—	2	4	no	—
422	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
423	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
424	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
425	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
426	#407	—	2	4	no	—
427	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
428	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
429	#380	—	2	1	no	—
430	#380	—	2	1	no	—
431	#380	C₂²×C₁₉	1	2	yes	—
432	#380	C₂²×C₁₉	1	2	yes	—
433	C₂×#95	—	2	1	no	—
434	#340	C₂²×C₁₉	1	2	yes	complemented
435	#340	C₂²×C₁₉	1	2	yes	complemented
436	C₂×C₁₉	—	2	4	no	—
437	C₂×C₁₉	—	4	2	no	—
438	C₂×C₁₉	—	4	2	no	—
439	C₂×C₁₉	—	8	2	no	—
440	C₂×C₁₉	C₂×#394	1	1	yes	characteristic
441	C₂×C₁₉	#3006	1	1	yes	characteristic
442	C₂×C₁₉	#3007	1	1	yes	characteristic
443	C₂×C₁₉	#3055	1	1	yes	characteristic
444	C₂×C₁₉	#3056	1	1	yes	characteristic
445	C₂×C₁₉	#3092	1	1	yes	characteristic
446	C₂×C₁₉	#3093	1	1	yes	characteristic
447	C₂⁵	D₄×C₁₉	1	1	yes	characteristic
448	C₂×#41	—	2	2	no	—
449	C₂×#41	—	2	2	no	—
450	C₂×#41	—	2	2	no	—
451	C₂×#41	—	2	2	no	—
452	C₂×#41	—	2	2	no	—
453	C₂×#41	D₄×C₁₉	1	4	yes	—
454	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
455	C₂²×D₄	—	2	1	no	—
456	C₂²×D₄	—	2	1	no	—
457	C₂²×D₄	—	2	1	no	—
458	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
459	C₂³×C₄	—	2	1	no	—
460	C₂³×C₄	—	2	2	no	—
461	C₂³×C₄	—	2	2	no	—
462	C₂³×C₄	—	2	2	no	—
463	C₂³×C₄	—	2	2	no	—
464	C₂³×C₄	—	2	2	no	—
465	C₂³×C₄	—	2	2	no	—
466	C₂³×C₄	—	2	1	no	—
467	C₂³×C₄	—	2	1	no	—
468	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
469	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
470	C₂³×C₄	D₄×C₁₉	1	1	yes	characteristic
471	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
472	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
473	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
474	C₂×M₁₆	—	2	2	no	—
475	C₂×M₁₆	—	2	2	no	—
476	C₂×M₁₆	—	2	2	no	—
477	C₂×M₁₆	—	2	2	no	—
478	C₂×M₁₆	—	2	2	no	—
479	C₂×M₁₆	D₄×C₁₉	1	4	yes	complemented
480	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
481	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
482	#123	—	2	8	no	—
483	C₂²⋊Q₈	—	2	2	no	—
484	C₂²⋊Q₈	—	2	2	no	—
485	C₂²⋊Q₈	—	2	2	no	—
486	C₂²⋊Q₈	—	2	2	no	—
487	#121	—	2	2	no	—
488	#121	—	2	2	no	—
489	#121	—	2	2	no	—
490	#121	—	2	2	no	—
491	#120	—	2	8	no	—
492	C₄×D₄	—	2	8	no	—
493	C₄×D₄	—	2	8	no	—
494	#117	—	2	2	no	—
495	#117	D₄×C₁₉	1	4	yes	—
496	C₂×C₄⋊C₄	—	2	1	no	—
497	C₂×C₄⋊C₄	—	2	1	no	—
498	C₂×C₄⋊C₄	—	2	2	no	—
499	C₂×C₄⋊C₄	—	2	2	no	—
500	C₂×C₄⋊C₄	—	2	2	no	—
501	C₂×C₄⋊C₄	—	2	2	no	—
502	C₂×C₄⋊C₄	—	2	1	no	—
503	C₂×C₄⋊C₄	—	2	1	no	—
504	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
505	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
506	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
507	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
508	C₂×C₂²⋊C₄	—	2	1	no	—
509	C₂×C₂²⋊C₄	—	2	1	no	—
510	C₂×C₂²⋊C₄	—	2	1	no	—
511	C₂×C₂²⋊C₄	—	2	1	no	—
512	C₂×C₂²⋊C₄	—	2	1	no	—
513	C₂×C₂²⋊C₄	—	2	2	no	—
514	C₂×C₂²⋊C₄	—	2	2	no	—
515	C₂×C₂²⋊C₄	—	4	4	no	—
516	C₂×C₄²	—	2	1	no	—
517	#107	—	2	4	no	—
518	#106	—	2	4	no	—
519	#103	—	2	4	no	—
520	#103	—	2	4	no	—
521	#102	—	2	4	no	—
522	#102	—	2	4	no	—
523	C₂²⋊C₈	—	2	4	no	—
524	C₂²⋊C₈	—	2	4	no	—
525	#95	—	2	2	no	—
526	#95	—	2	2	no	—
527	C₁₉	#23482	1	1	yes	characteristic, direct product factor, Sylow
528	C₂⁴	—	2	2	no	—
529	C₂⁴	—	2	2	no	—
530	C₂⁴	—	2	2	no	—
531	C₂⁴	—	2	2	no	—
532	C₂⁴	—	2	2	no	—
533	C₂⁴	—	2	1	no	—
534	C₂⁴	—	4	1	no	—
535	C₂⁴	—	4	1	no	—
536	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
537	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
538	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
539	#41	—	2	8	no	—
540	#41	—	2	8	no	—
541	#41	—	4	4	no	—
542	#41	—	4	4	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	—	2	1	no	—
547	C₂×Q₈	—	2	1	no	—
548	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	4	2	no	—
558	C₂×D₄	—	4	2	no	—
559	C₂×D₄	—	4	2	no	—
560	C₂×D₄	—	4	2	no	—
561	C₂×D₄	—	4	2	no	—
562	C₂×D₄	—	4	2	no	—
563	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
564	C₂²×C₄	—	2	2	no	—
565	C₂²×C₄	—	2	2	no	—
566	C₂²×C₄	—	2	2	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	2	no	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	4	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	1	no	—
586	C₂²×C₄	—	2	1	no	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	1	no	—
589	C₂²×C₄	—	2	2	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	4	4	no	—
592	C₂²×C₄	—	4	4	no	—
593	C₂²×C₄	—	4	2	no	—
594	C₂²×C₄	—	4	4	no	—
595	C₂²×C₄	—	4	2	no	—
596	C₂²×C₄	—	4	4	no	—
597	C₂²×C₄	—	4	2	no	—
598	C₂²×C₄	—	4	2	no	—
599	C₂²×C₄	—	4	2	no	—
600	C₂²×C₄	—	4	2	no	—
601	C₂²×C₄	—	4	2	no	—
602	C₂²×C₄	—	4	2	no	—
603	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
606	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
607	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
608	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
609	C₂²×C₄	#41×C₁₉	1	2	yes	—
610	C₂²×C₄	#41×C₁₉	1	2	yes	—
611	C₂²×C₄	#41×C₁₉	1	2	yes	—
612	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
613	M₁₆	—	2	8	no	—
614	M₁₆	—	4	4	no	—
615	C₂×C₈	—	2	2	no	—
616	C₂×C₈	—	2	2	no	—
617	C₂×C₈	—	2	2	no	—
618	C₂×C₈	—	2	2	no	—
619	C₂×C₈	—	2	2	no	—
620	C₂×C₈	C₂×D₄×C₁₉	1	4	yes	—
621	C₄⋊C₄	—	2	4	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	1	no	—
625	C₄⋊C₄	—	2	2	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	2	no	—
629	C₄⋊C₄	—	4	2	no	—
630	C₄⋊C₄	—	4	2	no	—
631	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
632	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
633	C₂²⋊C₄	—	2	4	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	—	2	4	no	—
636	C₂²⋊C₄	—	2	4	no	—
637	C₂²⋊C₄	—	2	4	no	—
638	C₂²⋊C₄	—	4	4	no	—
639	C₂²⋊C₄	—	4	4	no	—
640	C₄²	—	2	4	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	8	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	2	no	—
659	C₂³	—	4	4	no	—
660	C₂³	—	4	4	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	4	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	4	1	no	—
666	C₂³	—	4	1	no	—
667	C₂³	—	4	1	no	—
668	C₂³	—	4	1	no	—
669	C₂³	—	4	1	no	—
670	C₂³	—	4	1	no	—
671	C₂³	C₁₉×#120	1	2	yes	—
672	C₂³	C₁₉×#121	1	2	yes	—
673	C₂³	C₁₉×#123	1	2	yes	—
674	C₂³	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
675	C₂³	C₁₉×#137	1	2	yes	—
676	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
677	Q₈	—	2	2	no	—
678	Q₈	—	2	2	no	—
679	Q₈	—	4	1	no	—
680	Q₈	—	4	1	no	—
681	D₄	—	2	2	no	—
682	D₄	—	2	2	no	—
683	D₄	—	4	8	no	—
684	D₄	—	4	8	no	—
685	D₄	—	4	8	no	—
686	D₄	—	4	1	no	—
687	D₄	—	4	1	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	4	4	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	4	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	4	8	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	2	no	—
716	C₂×C₄	—	4	2	no	—
717	C₂×C₄	—	4	2	no	—
718	C₂×C₄	—	4	2	no	—
719	C₂×C₄	—	4	2	no	—
720	C₂×C₄	—	4	2	no	—
721	C₂×C₄	—	8	4	no	—
722	C₂×C₄	—	8	4	no	—
723	C₂×C₄	C₁₉×#120	1	2	yes	—
724	C₂×C₄	C₁₉×#121	1	2	yes	—
725	C₂×C₄	C₁₉×#121	1	4	yes	—
726	C₂×C₄	C₁₉×#121	1	4	yes	—
727	C₂×C₄	C₁₉×#123	1	2	yes	—
728	C₂×C₄	C₁₉×#123	1	4	yes	—
729	C₂×C₄	C₁₉×#124	1	4	yes	—
730	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
731	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
732	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
733	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
734	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
735	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
736	C₈	—	2	4	no	—
737	C₈	—	4	2	no	—
738	C₂²	—	2	2	no	—
739	C₂²	—	2	2	no	—
740	C₂²	—	2	2	no	—
741	C₂²	—	2	2	no	—
742	C₂²	—	2	2	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	2	no	—
746	C₂²	—	2	2	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	2	no	—
749	C₂²	—	2	2	no	—
750	C₂²	—	4	16	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	4	1	no	—
753	C₂²	—	4	1	no	—
754	C₂²	—	4	1	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	4	1	no	—
759	C₂²	—	4	2	no	—
760	C₂²	—	4	2	no	—
761	C₂²	—	4	2	no	—
762	C₂²	—	8	1	no	—
763	C₂²	—	8	1	no	—
764	C₂²	—	8	1	no	—
765	C₂²	—	8	1	no	—
766	C₂²	C₁₉×#394	1	4	yes	—
767	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
768	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
769	C₂²	C₂×C₁₉×#123	1	1	yes	characteristic
770	C₂²	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
771	C₂²	C₂×C₁₉×#137	1	1	yes	characteristic
772	C₂²	C₁₉×#575	1	1	yes	characteristic
773	C₂²	C₁₉×#575	1	1	yes	characteristic
774	C₄	—	4	2	no	—
775	C₄	—	4	2	no	—
776	C₄	—	4	1	no	—
777	C₄	—	4	1	no	—
778	C₄	—	4	2	no	—
779	C₄	—	8	2	no	—
780	C₄	—	8	2	no	—
781	C₄	C₁₉×#394	1	4	yes	—
782	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
783	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
784	C₄	C₂×C₁₉×#123	1	1	yes	characteristic
785	C₄	C₂×C₁₉×#124	1	1	yes	characteristic
786	C₂	—	2	4	no	—
787	C₂	—	4	2	no	—
788	C₂	—	4	2	no	—
789	C₂	—	8	2	no	—
790	C₂	C₂×C₁₉×#394	1	1	yes	characteristic
791	C₂	C₁₉×#3006	1	1	yes	characteristic
792	C₂	C₁₉×#3007	1	1	yes	characteristic
793	C₂	C₁₉×#3055	1	1	yes	characteristic
794	C₂	C₁₉×#3056	1	1	yes	characteristic
795	C₂	C₁₉×#3092	1	1	yes	characteristic
796	C₂	C₁₉×#3093	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂×C₁₉×#525	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂⁴×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#428	C₂	semidirect
3. C₂×C₁₉×#417	C₂	semidirect
4. C₂×C₁₉×#417	C₂	semidirect
5. C₂×C₁₉×#407	C₂	semidirect
6. C₂×C₁₉×#380	C₂	semidirect
7. C₁₉×#2036	C₂	semidirect
8. C₁₉×#2035	C₂	semidirect
9. C₁₉×#2034	C₂	semidirect
10. C₁₉×#2033	C₂	semidirect
11. C₁₉×#1736	C₂	semidirect
31. C₂×C₁₉×#107	C₂²	semidirect
32. C₂×C₁₉×#106	C₂²	semidirect
35. C₂×C₁₉×#103	C₂²	semidirect
36. C₂×C₁₉×#103	C₂²	semidirect
37. C₂×C₁₉×#102	C₂²	semidirect
38. C₂×C₁₉×#102	C₂²	semidirect
47. C₁₉×#340	C₂²	semidirect
48. C₁₉×#340	C₂²	semidirect
81. C₂×M₁₆×C₁₉	D₄	semidirect
242. #23482	C₁₉	direct (N × H)
341. C₂×#428	C₂×C₁₉	semidirect
342. C₂×#417	C₂×C₁₉	semidirect
343. C₂×#417	C₂×C₁₉	semidirect
344. C₂×#407	C₂×C₁₉	semidirect
345. C₂×#380	C₂×C₁₉	semidirect
346. #2036	C₂×C₁₉	semidirect
347. #2035	C₂×C₁₉	semidirect
348. #2034	C₂×C₁₉	semidirect
349. #2033	C₂×C₁₉	semidirect
350. #1736	C₂×C₁₉	semidirect
418. C₂×#107	C₂²×C₁₉	semidirect
419. C₂×#106	C₂²×C₁₉	semidirect
422. C₂×#103	C₂²×C₁₉	semidirect
423. C₂×#103	C₂²×C₁₉	semidirect
424. C₂×#102	C₂²×C₁₉	semidirect
425. C₂×#102	C₂²×C₁₉	semidirect
434. #340	C₂²×C₁₉	semidirect
435. #340	C₂²×C₁₉	semidirect
479. C₂×M₁₆	D₄×C₁₉	semidirect
527. C₁₉	#23482	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×#525	2
C₂×C₁₉×#428	2
C₂×C₁₉×#417	2
C₂×C₁₉×#407	2
C₂×C₁₉×#380	2
C₁₉×#2036	2
C₁₉×#2035	2
C₁₉×#2034	2
C₁₉×#2033	2
C₁₉×#1736	2
#23482	19

Subgroups — C19×#23482 #18029441

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#23482 #18029441