Subgroups — C₁₉×#16265 #18022224

Order 4864.

2102 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#396	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₉×#393	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#386	C₂	1	1	yes	maximal, characteristic
5	C₂×C₁₉×#380	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1446	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1444	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1441	C₂	1	2	yes	maximal, complemented
9	C₁₉×#1439	C₂	1	2	yes	maximal, complemented
10	C₁₉×#1439	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1438	C₂	1	2	yes	maximal
12	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
13	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×C₂²⋊Q₈	—	2	4	no	—
16	C₂×C₁₉×C₂²⋊Q₈	—	2	8	no	—
17	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
19	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
20	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
21	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
22	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
23	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
24	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
25	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
27	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#396	—	2	8	no	—
29	C₁₉×#393	—	2	4	no	—
30	C₁₉×#386	—	2	4	no	—
31	C₁₉×#380	—	2	4	no	—
32	C₂×C₁₉×#95	C₂²	1	2	yes	—
33	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
34	C₂×C₁₉×#95	C₂²	1	2	yes	—
35	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#95	C₂²	1	2	yes	—
38	C₂×C₁₉×#95	C₂²	1	2	yes	—
39	C₂×C₁₉×#95	C₂²	1	2	yes	—
40	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
41	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
42	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
43	C₂²×Q₈×C₁₉	—	2	4	no	—
44	C₂²×Q₈×C₁₉	—	2	2	no	—
45	C₂²×Q₈×C₁₉	—	2	2	no	—
46	C₂²×Q₈×C₁₉	—	2	2	no	—
47	C₂²×Q₈×C₁₉	—	4	2	no	—
48	C₂²×D₄×C₁₉	—	2	2	no	—
49	C₂²×D₄×C₁₉	—	2	2	no	—
50	C₂²×D₄×C₁₉	—	4	2	no	—
51	C₂²×D₄×C₁₉	—	4	2	no	—
52	C₂²×D₄×C₁₉	Q₈	1	4	yes	complemented
53	C₂³×C₄×C₁₉	—	2	2	no	—
54	C₂³×C₄×C₁₉	—	2	4	no	—
55	C₂³×C₄×C₁₉	—	2	2	no	—
56	C₂³×C₄×C₁₉	—	4	2	no	—
57	C₂³×C₄×C₁₉	D₄	1	4	yes	—
58	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
59	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
60	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
61	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
62	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
63	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
64	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
66	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₁₉×C₂²⋊Q₈	—	2	32	no	—
68	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
69	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
70	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
71	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
72	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
73	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
74	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
75	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
76	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
77	C₂×C₄⋊C₄×C₁₉	—	4	2	no	—
78	C₂×C₄⋊C₄×C₁₉	D₄	1	8	yes	complemented
79	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
80	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
81	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
82	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
83	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
84	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
85	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
86	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
87	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
88	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
89	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
90	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
91	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
92	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
93	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
94	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
95	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
96	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
97	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
98	C₁₉×#95	—	2	2	no	—
99	C₁₉×#95	—	2	2	no	—
100	C₁₉×#95	—	2	2	no	—
101	C₁₉×#95	—	2	4	no	—
102	C₁₉×#95	—	2	4	no	—
103	C₁₉×#95	—	4	2	no	—
104	C₁₉×#95	—	4	2	no	—
105	C₁₉×#95	—	4	2	no	—
106	C₁₉×#95	D₄	1	4	yes	complemented
107	C₂⁴×C₁₉	—	2	2	no	—
108	C₂⁴×C₁₉	—	2	1	no	—
109	C₂⁴×C₁₉	—	2	1	no	—
110	C₂⁴×C₁₉	—	2	1	no	—
111	C₂⁴×C₁₉	—	2	2	no	—
112	C₂⁴×C₁₉	—	2	2	no	—
113	C₂⁴×C₁₉	—	2	2	no	—
114	C₂⁴×C₁₉	—	2	1	no	—
115	C₂⁴×C₁₉	—	2	2	no	—
116	C₂⁴×C₁₉	—	2	1	no	—
117	C₂⁴×C₁₉	—	2	1	no	—
118	C₂⁴×C₁₉	—	2	1	no	—
119	C₂⁴×C₁₉	—	2	1	no	—
120	C₂⁴×C₁₉	—	2	1	no	—
121	C₂⁴×C₁₉	—	2	2	no	—
122	C₂⁴×C₁₉	—	2	2	no	—
123	C₂⁴×C₁₉	—	2	2	no	—
124	C₂⁴×C₁₉	—	2	1	no	—
125	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
126	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
127	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
128	C₂⁴×C₁₉	#41	1	2	yes	—
129	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
130	C₂×Q₈×C₁₉	—	2	8	no	—
131	C₂×Q₈×C₁₉	—	4	8	no	—
132	C₂×Q₈×C₁₉	—	4	8	no	—
133	C₂×Q₈×C₁₉	—	4	4	no	—
134	C₂×Q₈×C₁₉	—	4	4	no	—
135	C₂×D₄×C₁₉	—	2	8	no	—
136	C₂×D₄×C₁₉	—	4	8	no	—
137	C₂×D₄×C₁₉	—	4	4	no	—
138	C₂×D₄×C₁₉	—	4	4	no	—
139	C₂×D₄×C₁₉	—	4	8	no	—
140	C₂²×C₄×C₁₉	—	2	1	no	—
141	C₂²×C₄×C₁₉	—	2	2	no	—
142	C₂²×C₄×C₁₉	—	2	1	no	—
143	C₂²×C₄×C₁₉	—	2	2	no	—
144	C₂²×C₄×C₁₉	—	2	2	no	—
145	C₂²×C₄×C₁₉	—	2	2	no	—
146	C₂²×C₄×C₁₉	—	2	2	no	—
147	C₂²×C₄×C₁₉	—	2	2	no	—
148	C₂²×C₄×C₁₉	—	2	2	no	—
149	C₂²×C₄×C₁₉	—	2	2	no	—
150	C₂²×C₄×C₁₉	—	2	2	no	—
151	C₂²×C₄×C₁₉	—	2	1	no	—
152	C₂²×C₄×C₁₉	—	2	2	no	—
153	C₂²×C₄×C₁₉	—	2	1	no	—
154	C₂²×C₄×C₁₉	—	2	2	no	—
155	C₂²×C₄×C₁₉	—	2	2	no	—
156	C₂²×C₄×C₁₉	—	2	2	no	—
157	C₂²×C₄×C₁₉	—	2	2	no	—
158	C₂²×C₄×C₁₉	—	2	2	no	—
159	C₂²×C₄×C₁₉	—	2	2	no	—
160	C₂²×C₄×C₁₉	—	2	2	no	—
161	C₂²×C₄×C₁₉	—	2	2	no	—
162	C₂²×C₄×C₁₉	—	2	2	no	—
163	C₂²×C₄×C₁₉	—	2	2	no	—
164	C₂²×C₄×C₁₉	—	2	2	no	—
165	C₂²×C₄×C₁₉	—	2	2	no	—
166	C₂²×C₄×C₁₉	—	2	2	no	—
167	C₂²×C₄×C₁₉	—	2	8	no	—
168	C₂²×C₄×C₁₉	—	2	8	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	2	no	—
174	C₂²×C₄×C₁₉	—	2	1	no	—
175	C₂²×C₄×C₁₉	—	2	1	no	—
176	C₂²×C₄×C₁₉	—	2	2	no	—
177	C₂²×C₄×C₁₉	—	2	2	no	—
178	C₂²×C₄×C₁₉	—	2	2	no	—
179	C₂²×C₄×C₁₉	—	2	2	no	—
180	C₂²×C₄×C₁₉	—	2	2	no	—
181	C₂²×C₄×C₁₉	—	2	1	no	—
182	C₂²×C₄×C₁₉	—	2	2	no	—
183	C₂²×C₄×C₁₉	—	2	2	no	—
184	C₂²×C₄×C₁₉	—	2	1	no	—
185	C₂²×C₄×C₁₉	—	2	2	no	—
186	C₂²×C₄×C₁₉	—	4	4	no	—
187	C₂²×C₄×C₁₉	—	4	8	no	—
188	C₂²×C₄×C₁₉	—	4	8	no	—
189	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
190	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
191	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
192	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
193	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
194	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
195	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
196	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
197	C₂²×C₄×C₁₉	#41	1	2	yes	—
198	C₄⋊C₄×C₁₉	—	2	8	no	—
199	C₄⋊C₄×C₁₉	—	2	16	no	—
200	C₄⋊C₄×C₁₉	—	4	8	no	—
201	C₄⋊C₄×C₁₉	—	4	8	no	—
202	C₂²⋊C₄×C₁₉	—	2	16	no	—
203	C₂²⋊C₄×C₁₉	—	4	8	no	—
204	C₂²⋊C₄×C₁₉	—	4	8	no	—
205	C₂²⋊C₄×C₁₉	—	4	8	no	—
206	C₂²⋊C₄×C₁₉	—	4	4	no	—
207	C₂²⋊C₄×C₁₉	—	4	4	no	—
208	C₂²⋊C₄×C₁₉	—	4	4	no	—
209	#16265	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
210	C₂³×C₁₉	—	2	2	no	—
211	C₂³×C₁₉	—	2	2	no	—
212	C₂³×C₁₉	—	2	2	no	—
213	C₂³×C₁₉	—	2	2	no	—
214	C₂³×C₁₉	—	2	2	no	—
215	C₂³×C₁₉	—	2	2	no	—
216	C₂³×C₁₉	—	2	4	no	—
217	C₂³×C₁₉	—	2	4	no	—
218	C₂³×C₁₉	—	2	2	no	—
219	C₂³×C₁₉	—	2	4	no	—
220	C₂³×C₁₉	—	2	4	no	—
221	C₂³×C₁₉	—	2	2	no	—
222	C₂³×C₁₉	—	2	2	no	—
223	C₂³×C₁₉	—	2	2	no	—
224	C₂³×C₁₉	—	2	2	no	—
225	C₂³×C₁₉	—	2	4	no	—
226	C₂³×C₁₉	—	2	4	no	—
227	C₂³×C₁₉	—	2	2	no	—
228	C₂³×C₁₉	—	2	2	no	—
229	C₂³×C₁₉	—	4	2	no	—
230	C₂³×C₁₉	—	4	2	no	—
231	C₂³×C₁₉	—	4	2	no	—
232	C₂³×C₁₉	—	4	2	no	—
233	C₂³×C₁₉	—	4	2	no	—
234	C₂³×C₁₉	—	4	2	no	—
235	C₂³×C₁₉	—	4	2	no	—
236	C₂³×C₁₉	—	4	2	no	—
237	C₂³×C₁₉	—	4	1	no	—
238	C₂³×C₁₉	—	4	1	no	—
239	C₂³×C₁₉	—	4	1	no	—
240	C₂³×C₁₉	—	4	2	no	—
241	C₂³×C₁₉	—	4	1	no	—
242	C₂³×C₁₉	—	4	1	no	—
243	C₂³×C₁₉	—	4	1	no	—
244	C₂³×C₁₉	—	4	2	no	—
245	C₂³×C₁₉	—	4	2	no	—
246	C₂³×C₁₉	—	4	2	no	—
247	C₂³×C₁₉	—	4	2	no	—
248	C₂³×C₁₉	—	4	2	no	—
249	C₂³×C₁₉	—	4	1	no	—
250	C₂³×C₁₉	—	4	2	no	—
251	C₂³×C₁₉	—	4	2	no	—
252	C₂³×C₁₉	—	4	1	no	—
253	C₂³×C₁₉	—	4	2	no	—
254	C₂³×C₁₉	—	4	2	no	—
255	C₂³×C₁₉	C₂²⋊Q₈	1	4	yes	—
256	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
257	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
258	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
259	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
260	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
261	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
262	C₂³×C₁₉	H(5,𝔽₂)	1	2	yes	—
263	C₂³×C₁₉	H(5,𝔽₂)	1	2	yes	—
264	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
265	C₂³×C₁₉	2₋¹⁺⁴	1	2	yes	—
266	C₂³×C₁₉	2₋¹⁺⁴	1	1	yes	characteristic
267	Q₈×C₁₉	—	4	16	no	—
268	D₄×C₁₉	—	4	16	no	—
269	C₂×C₄×C₁₉	—	2	2	no	—
270	C₂×C₄×C₁₉	—	2	2	no	—
271	C₂×C₄×C₁₉	—	2	2	no	—
272	C₂×C₄×C₁₉	—	2	2	no	—
273	C₂×C₄×C₁₉	—	2	4	no	—
274	C₂×C₄×C₁₉	—	2	4	no	—
275	C₂×C₄×C₁₉	—	2	4	no	—
276	C₂×C₄×C₁₉	—	2	4	no	—
277	C₂×C₄×C₁₉	—	2	4	no	—
278	C₂×C₄×C₁₉	—	2	4	no	—
279	C₂×C₄×C₁₉	—	2	2	no	—
280	C₂×C₄×C₁₉	—	2	4	no	—
281	C₂×C₄×C₁₉	—	2	4	no	—
282	C₂×C₄×C₁₉	—	2	4	no	—
283	C₂×C₄×C₁₉	—	2	4	no	—
284	C₂×C₄×C₁₉	—	2	4	no	—
285	C₂×C₄×C₁₉	—	2	4	no	—
286	C₂×C₄×C₁₉	—	2	4	no	—
287	C₂×C₄×C₁₉	—	2	4	no	—
288	C₂×C₄×C₁₉	—	4	16	no	—
289	C₂×C₄×C₁₉	—	4	2	no	—
290	C₂×C₄×C₁₉	—	4	1	no	—
291	C₂×C₄×C₁₉	—	4	2	no	—
292	C₂×C₄×C₁₉	—	4	2	no	—
293	C₂×C₄×C₁₉	—	4	2	no	—
294	C₂×C₄×C₁₉	—	4	2	no	—
295	C₂×C₄×C₁₉	—	4	1	no	—
296	C₂×C₄×C₁₉	—	4	2	no	—
297	C₂×C₄×C₁₉	—	4	2	no	—
298	C₂×C₄×C₁₉	—	4	2	no	—
299	C₂×C₄×C₁₉	—	4	2	no	—
300	C₂×C₄×C₁₉	—	4	2	no	—
301	C₂×C₄×C₁₉	—	4	2	no	—
302	C₂×C₄×C₁₉	—	4	2	no	—
303	C₂×C₄×C₁₉	—	4	2	no	—
304	C₂×C₄×C₁₉	—	4	1	no	—
305	C₂×C₄×C₁₉	—	4	1	no	—
306	C₂×C₄×C₁₉	—	4	1	no	—
307	C₂×C₄×C₁₉	—	4	1	no	—
308	C₂×C₄×C₁₉	—	4	2	no	—
309	C₂×C₄×C₁₉	—	4	2	no	—
310	C₂×C₄×C₁₉	—	4	1	no	—
311	C₂×C₄×C₁₉	—	4	1	no	—
312	C₂×C₄×C₁₉	—	4	2	no	—
313	C₂×C₄×C₁₉	—	4	2	no	—
314	C₂×C₄×C₁₉	—	4	2	no	—
315	C₂×C₄×C₁₉	—	4	2	no	—
316	C₂×C₄×C₁₉	—	4	2	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	#120	1	4	yes	—
322	C₂×C₄×C₁₉	#121	1	4	yes	—
323	C₂²×C₂²⋊Q₈	C₂×C₁₉	1	1	yes	characteristic, complemented
324	C₂×#396	C₂×C₁₉	1	2	yes	complemented
325	C₂×#393	C₂×C₁₉	1	1	yes	characteristic, complemented
326	C₂×#386	C₂×C₁₉	1	1	yes	characteristic
327	C₂×#380	C₂×C₁₉	1	1	yes	characteristic, complemented
328	#1446	C₂×C₁₉	1	1	yes	characteristic, complemented
329	#1444	C₂×C₁₉	1	1	yes	characteristic, complemented
330	#1441	C₂×C₁₉	1	2	yes	complemented
331	#1439	C₂×C₁₉	1	1	yes	characteristic, complemented
332	#1439	C₂×C₁₉	1	2	yes	complemented
333	#1438	C₂×C₁₉	1	2	yes	—
334	C₂²×C₁₉	—	2	4	no	—
335	C₂²×C₁₉	—	2	4	no	—
336	C₂²×C₁₉	—	2	4	no	—
337	C₂²×C₁₉	—	4	2	no	—
338	C₂²×C₁₉	—	4	2	no	—
339	C₂²×C₁₉	—	4	2	no	—
340	C₂²×C₁₉	—	4	4	no	—
341	C₂²×C₁₉	—	4	4	no	—
342	C₂²×C₁₉	—	4	4	no	—
343	C₂²×C₁₉	—	4	4	no	—
344	C₂²×C₁₉	—	4	2	no	—
345	C₂²×C₁₉	—	4	2	no	—
346	C₂²×C₁₉	—	4	2	no	—
347	C₂²×C₁₉	—	4	2	no	—
348	C₂²×C₁₉	—	4	4	no	—
349	C₂²×C₁₉	—	4	4	no	—
350	C₂²×C₁₉	—	8	1	no	—
351	C₂²×C₁₉	—	8	1	no	—
352	C₂²×C₁₉	—	8	1	no	—
353	C₂²×C₁₉	—	8	2	no	—
354	C₂²×C₁₉	—	8	2	no	—
355	C₂²×C₁₉	—	8	1	no	—
356	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
357	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
358	C₂²×C₁₉	C₂×C₂²⋊Q₈	1	1	yes	characteristic
359	C₂²×C₁₉	#534	1	1	yes	characteristic
360	C₂²×C₁₉	#535	1	1	yes	characteristic
361	C₂²×C₁₉	#535	1	2	yes	—
362	C₂²×C₁₉	#536	1	1	yes	characteristic
363	C₂²×C₁₉	#537	1	1	yes	characteristic
364	C₂²×C₁₉	#537	1	2	yes	—
365	C₂²×C₁₉	#537	1	2	yes	—
366	C₂²×C₁₉	#538	1	2	yes	—
367	C₂²×C₁₉	#542	1	2	yes	—
368	C₂²×C₁₉	#543	1	2	yes	—
369	C₂²×C₁₉	D₄²	1	2	yes	—
370	C₂²×C₁₉	#546	1	2	yes	—
371	C₂²×C₁₉	#546	1	1	yes	characteristic
372	C₂²×C₁₉	#548	1	2	yes	—
373	C₂²×C₁₉	D₄×Q₈	1	2	yes	—
374	C₂²×C₁₉	D₄×Q₈	1	1	yes	characteristic
375	C₂²×C₁₉	#552	1	1	yes	characteristic
376	C₂²×C₁₉	#554	1	1	yes	characteristic
377	C₂²×C₁₉	#562	1	2	yes	—
378	C₂²×C₁₉	#563	1	2	yes	—
379	C₄×C₁₉	—	2	4	no	—
380	C₄×C₁₉	—	2	4	no	—
381	C₄×C₁₉	—	4	4	no	—
382	C₄×C₁₉	—	4	2	no	—
383	C₄×C₁₉	—	4	4	no	—
384	C₄×C₁₉	—	4	4	no	—
385	C₄×C₁₉	—	8	1	no	—
386	C₄×C₁₉	—	8	1	no	—
387	C₄×C₁₉	—	8	2	no	—
388	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
389	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
390	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
391	C₂×C₂²⋊Q₈	—	2	4	no	—
392	C₂×C₂²⋊Q₈	—	2	8	no	—
393	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
394	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
395	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
396	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
397	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
398	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
399	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
400	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
401	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
402	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
403	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
404	#396	—	2	8	no	—
405	#393	—	2	4	no	—
406	#386	—	2	4	no	—
407	#380	—	2	4	no	—
408	C₂×#95	C₂²×C₁₉	1	2	yes	—
409	C₂×#95	C₂²×C₁₉	1	2	yes	—
410	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
411	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
412	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×#95	C₂²×C₁₉	1	2	yes	—
414	C₂×#95	C₂²×C₁₉	1	2	yes	—
415	C₂×#95	C₂²×C₁₉	1	2	yes	—
416	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
417	C₂×C₁₉	—	4	4	no	—
418	C₂×C₁₉	—	8	2	no	—
419	C₂×C₁₉	#2409	1	1	yes	characteristic
420	C₂×C₁₉	#2410	1	1	yes	characteristic
421	C₂×C₁₉	#2417	1	1	yes	characteristic
422	C₂×C₁₉	#2615	1	1	yes	characteristic
423	C₂×C₁₉	#2620	1	1	yes	characteristic
424	C₂×C₁₉	#2626	1	1	yes	characteristic
425	C₂×C₁₉	#2676	1	2	yes	—
426	C₂×C₁₉	#2683	1	2	yes	—
427	C₂×C₁₉	#2692	1	2	yes	—
428	C₂×C₁₉	#2702	1	2	yes	—
429	C₂×C₁₉	#2814	1	1	yes	characteristic
430	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
431	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
432	C₂²×Q₈	—	2	4	no	—
433	C₂²×Q₈	—	2	2	no	—
434	C₂²×Q₈	—	2	2	no	—
435	C₂²×Q₈	—	2	2	no	—
436	C₂²×Q₈	—	4	2	no	—
437	C₂²×D₄	—	2	2	no	—
438	C₂²×D₄	—	2	2	no	—
439	C₂²×D₄	—	4	2	no	—
440	C₂²×D₄	—	4	2	no	—
441	C₂²×D₄	Q₈×C₁₉	1	4	yes	complemented
442	C₂³×C₄	—	2	4	no	—
443	C₂³×C₄	—	2	2	no	—
444	C₂³×C₄	—	2	2	no	—
445	C₂³×C₄	—	4	2	no	—
446	C₂³×C₄	D₄×C₁₉	1	4	yes	—
447	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
448	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
449	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
450	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
451	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
452	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
453	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
454	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
455	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
456	C₂²⋊Q₈	—	2	32	no	—
457	C₂×C₄⋊C₄	—	2	4	no	—
458	C₂×C₄⋊C₄	—	2	2	no	—
459	C₂×C₄⋊C₄	—	2	4	no	—
460	C₂×C₄⋊C₄	—	2	4	no	—
461	C₂×C₄⋊C₄	—	2	4	no	—
462	C₂×C₄⋊C₄	—	2	4	no	—
463	C₂×C₄⋊C₄	—	2	4	no	—
464	C₂×C₄⋊C₄	—	4	2	no	—
465	C₂×C₄⋊C₄	—	4	2	no	—
466	C₂×C₄⋊C₄	—	4	2	no	—
467	C₂×C₄⋊C₄	D₄×C₁₉	1	8	yes	complemented
468	C₂×C₂²⋊C₄	—	2	4	no	—
469	C₂×C₂²⋊C₄	—	2	4	no	—
470	C₂×C₂²⋊C₄	—	2	4	no	—
471	C₂×C₂²⋊C₄	—	2	2	no	—
472	C₂×C₂²⋊C₄	—	2	4	no	—
473	C₂×C₂²⋊C₄	—	2	4	no	—
474	C₂×C₂²⋊C₄	—	2	2	no	—
475	C₂×C₂²⋊C₄	—	2	2	no	—
476	C₂×C₂²⋊C₄	—	2	4	no	—
477	C₂×C₂²⋊C₄	—	2	2	no	—
478	C₂×C₂²⋊C₄	—	2	4	no	—
479	C₂×C₂²⋊C₄	—	2	4	no	—
480	C₂×C₂²⋊C₄	—	2	4	no	—
481	C₂×C₂²⋊C₄	—	2	2	no	—
482	C₂×C₂²⋊C₄	—	4	2	no	—
483	C₂×C₂²⋊C₄	—	4	2	no	—
484	C₂×C₂²⋊C₄	—	4	2	no	—
485	C₂×C₂²⋊C₄	—	4	2	no	—
486	C₂×C₂²⋊C₄	—	4	2	no	—
487	#95	—	2	2	no	—
488	#95	—	2	2	no	—
489	#95	—	2	2	no	—
490	#95	—	2	4	no	—
491	#95	—	2	4	no	—
492	#95	—	4	2	no	—
493	#95	—	4	2	no	—
494	#95	—	4	2	no	—
495	#95	D₄×C₁₉	1	4	yes	complemented
496	C₁₉	#16265	1	1	yes	characteristic, direct product factor, Sylow
497	C₂⁴	—	2	2	no	—
498	C₂⁴	—	2	1	no	—
499	C₂⁴	—	2	1	no	—
500	C₂⁴	—	2	1	no	—
501	C₂⁴	—	2	2	no	—
502	C₂⁴	—	2	2	no	—
503	C₂⁴	—	2	2	no	—
504	C₂⁴	—	2	1	no	—
505	C₂⁴	—	2	2	no	—
506	C₂⁴	—	2	1	no	—
507	C₂⁴	—	2	1	no	—
508	C₂⁴	—	2	1	no	—
509	C₂⁴	—	2	1	no	—
510	C₂⁴	—	2	1	no	—
511	C₂⁴	—	2	2	no	—
512	C₂⁴	—	2	2	no	—
513	C₂⁴	—	2	2	no	—
514	C₂⁴	—	2	1	no	—
515	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
516	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
517	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
518	C₂⁴	#41×C₁₉	1	2	yes	—
519	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
520	C₂×Q₈	—	2	8	no	—
521	C₂×Q₈	—	4	8	no	—
522	C₂×Q₈	—	4	8	no	—
523	C₂×Q₈	—	4	4	no	—
524	C₂×Q₈	—	4	4	no	—
525	C₂×D₄	—	2	8	no	—
526	C₂×D₄	—	4	8	no	—
527	C₂×D₄	—	4	4	no	—
528	C₂×D₄	—	4	4	no	—
529	C₂×D₄	—	4	8	no	—
530	C₂²×C₄	—	2	1	no	—
531	C₂²×C₄	—	2	2	no	—
532	C₂²×C₄	—	2	1	no	—
533	C₂²×C₄	—	2	2	no	—
534	C₂²×C₄	—	2	2	no	—
535	C₂²×C₄	—	2	1	no	—
536	C₂²×C₄	—	2	2	no	—
537	C₂²×C₄	—	2	2	no	—
538	C₂²×C₄	—	2	2	no	—
539	C₂²×C₄	—	2	2	no	—
540	C₂²×C₄	—	2	2	no	—
541	C₂²×C₄	—	2	2	no	—
542	C₂²×C₄	—	2	2	no	—
543	C₂²×C₄	—	2	1	no	—
544	C₂²×C₄	—	2	2	no	—
545	C₂²×C₄	—	2	2	no	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	2	no	—
548	C₂²×C₄	—	2	2	no	—
549	C₂²×C₄	—	2	2	no	—
550	C₂²×C₄	—	2	2	no	—
551	C₂²×C₄	—	2	2	no	—
552	C₂²×C₄	—	2	2	no	—
553	C₂²×C₄	—	2	2	no	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	2	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	8	no	—
558	C₂²×C₄	—	2	8	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	1	no	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	2	no	—
563	C₂²×C₄	—	2	2	no	—
564	C₂²×C₄	—	2	2	no	—
565	C₂²×C₄	—	2	1	no	—
566	C₂²×C₄	—	2	2	no	—
567	C₂²×C₄	—	2	2	no	—
568	C₂²×C₄	—	2	2	no	—
569	C₂²×C₄	—	2	2	no	—
570	C₂²×C₄	—	2	2	no	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	4	4	no	—
577	C₂²×C₄	—	4	8	no	—
578	C₂²×C₄	—	4	8	no	—
579	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
580	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
581	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
582	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
583	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
584	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
585	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
586	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
587	C₂²×C₄	#41×C₁₉	1	2	yes	—
588	C₄⋊C₄	—	2	8	no	—
589	C₄⋊C₄	—	2	16	no	—
590	C₄⋊C₄	—	4	8	no	—
591	C₄⋊C₄	—	4	8	no	—
592	C₂²⋊C₄	—	2	16	no	—
593	C₂²⋊C₄	—	4	8	no	—
594	C₂²⋊C₄	—	4	8	no	—
595	C₂²⋊C₄	—	4	8	no	—
596	C₂²⋊C₄	—	4	4	no	—
597	C₂²⋊C₄	—	4	4	no	—
598	C₂²⋊C₄	—	4	4	no	—
599	C₂³	—	2	2	no	—
600	C₂³	—	2	2	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	2	2	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	4	no	—
606	C₂³	—	2	4	no	—
607	C₂³	—	2	2	no	—
608	C₂³	—	2	4	no	—
609	C₂³	—	2	4	no	—
610	C₂³	—	2	2	no	—
611	C₂³	—	2	2	no	—
612	C₂³	—	2	2	no	—
613	C₂³	—	2	2	no	—
614	C₂³	—	2	4	no	—
615	C₂³	—	2	4	no	—
616	C₂³	—	2	2	no	—
617	C₂³	—	2	2	no	—
618	C₂³	—	4	2	no	—
619	C₂³	—	4	2	no	—
620	C₂³	—	4	2	no	—
621	C₂³	—	4	2	no	—
622	C₂³	—	4	2	no	—
623	C₂³	—	4	2	no	—
624	C₂³	—	4	2	no	—
625	C₂³	—	4	2	no	—
626	C₂³	—	4	1	no	—
627	C₂³	—	4	1	no	—
628	C₂³	—	4	1	no	—
629	C₂³	—	4	2	no	—
630	C₂³	—	4	1	no	—
631	C₂³	—	4	1	no	—
632	C₂³	—	4	1	no	—
633	C₂³	—	4	2	no	—
634	C₂³	—	4	2	no	—
635	C₂³	—	4	2	no	—
636	C₂³	—	4	2	no	—
637	C₂³	—	4	2	no	—
638	C₂³	—	4	1	no	—
639	C₂³	—	4	2	no	—
640	C₂³	—	4	2	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	2	no	—
643	C₂³	—	4	2	no	—
644	C₂³	C₁₉×C₂²⋊Q₈	1	4	yes	—
645	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
646	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
647	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
648	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
649	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
650	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
651	C₂³	C₁₉×H(5,𝔽₂)	1	2	yes	—
652	C₂³	C₁₉×H(5,𝔽₂)	1	2	yes	—
653	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
654	C₂³	C₁₉×2₋¹⁺⁴	1	2	yes	—
655	C₂³	C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
656	Q₈	—	4	16	no	—
657	D₄	—	4	16	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	2	4	no	—
664	C₂×C₄	—	2	4	no	—
665	C₂×C₄	—	2	4	no	—
666	C₂×C₄	—	2	4	no	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	4	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	4	no	—
674	C₂×C₄	—	2	4	no	—
675	C₂×C₄	—	2	4	no	—
676	C₂×C₄	—	2	4	no	—
677	C₂×C₄	—	4	16	no	—
678	C₂×C₄	—	4	2	no	—
679	C₂×C₄	—	4	1	no	—
680	C₂×C₄	—	4	2	no	—
681	C₂×C₄	—	4	2	no	—
682	C₂×C₄	—	4	1	no	—
683	C₂×C₄	—	4	2	no	—
684	C₂×C₄	—	4	2	no	—
685	C₂×C₄	—	4	2	no	—
686	C₂×C₄	—	4	2	no	—
687	C₂×C₄	—	4	2	no	—
688	C₂×C₄	—	4	2	no	—
689	C₂×C₄	—	4	2	no	—
690	C₂×C₄	—	4	2	no	—
691	C₂×C₄	—	4	2	no	—
692	C₂×C₄	—	4	2	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	2	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	2	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	2	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	2	no	—
703	C₂×C₄	—	4	2	no	—
704	C₂×C₄	—	4	2	no	—
705	C₂×C₄	—	4	2	no	—
706	C₂×C₄	—	4	2	no	—
707	C₂×C₄	—	4	2	no	—
708	C₂×C₄	—	4	2	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	C₁₉×#120	1	4	yes	—
711	C₂×C₄	C₁₉×#121	1	4	yes	—
712	C₂²	—	2	4	no	—
713	C₂²	—	2	4	no	—
714	C₂²	—	2	4	no	—
715	C₂²	—	4	2	no	—
716	C₂²	—	4	4	no	—
717	C₂²	—	4	4	no	—
718	C₂²	—	4	4	no	—
719	C₂²	—	4	4	no	—
720	C₂²	—	4	2	no	—
721	C₂²	—	4	2	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	4	4	no	—
726	C₂²	—	4	4	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	8	1	no	—
729	C₂²	—	8	2	no	—
730	C₂²	—	8	2	no	—
731	C₂²	—	8	1	no	—
732	C₂²	—	8	1	no	—
733	C₂²	—	8	1	no	—
734	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
735	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
736	C₂²	C₂×C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
737	C₂²	C₁₉×#534	1	1	yes	characteristic
738	C₂²	C₁₉×#535	1	2	yes	—
739	C₂²	C₁₉×#535	1	1	yes	characteristic
740	C₂²	C₁₉×#536	1	1	yes	characteristic
741	C₂²	C₁₉×#537	1	1	yes	characteristic
742	C₂²	C₁₉×#537	1	2	yes	—
743	C₂²	C₁₉×#537	1	2	yes	—
744	C₂²	C₁₉×#538	1	2	yes	—
745	C₂²	C₁₉×#542	1	2	yes	—
746	C₂²	C₁₉×#543	1	2	yes	—
747	C₂²	D₄²×C₁₉	1	2	yes	—
748	C₂²	C₁₉×#546	1	2	yes	—
749	C₂²	C₁₉×#546	1	1	yes	characteristic
750	C₂²	C₁₉×#548	1	2	yes	—
751	C₂²	D₄×Q₈×C₁₉	1	2	yes	—
752	C₂²	D₄×Q₈×C₁₉	1	1	yes	characteristic
753	C₂²	C₁₉×#552	1	1	yes	characteristic
754	C₂²	C₁₉×#554	1	1	yes	characteristic
755	C₂²	C₁₉×#562	1	2	yes	—
756	C₂²	C₁₉×#563	1	2	yes	—
757	C₄	—	2	4	no	—
758	C₄	—	2	4	no	—
759	C₄	—	4	4	no	—
760	C₄	—	4	4	no	—
761	C₄	—	4	4	no	—
762	C₄	—	4	2	no	—
763	C₄	—	8	2	no	—
764	C₄	—	8	1	no	—
765	C₄	—	8	1	no	—
766	C₂	—	4	4	no	—
767	C₂	—	8	2	no	—
768	C₂	C₁₉×#2409	1	1	yes	characteristic
769	C₂	C₁₉×#2410	1	1	yes	characteristic
770	C₂	C₁₉×#2417	1	1	yes	characteristic
771	C₂	C₁₉×#2615	1	1	yes	characteristic
772	C₂	C₁₉×#2620	1	1	yes	characteristic
773	C₂	C₁₉×#2626	1	1	yes	characteristic
774	C₂	C₁₉×#2676	1	2	yes	—
775	C₂	C₁₉×#2683	1	2	yes	—
776	C₂	C₁₉×#2692	1	2	yes	—
777	C₂	C₁₉×#2702	1	2	yes	—
778	C₂	C₁₉×#2814	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₉×C₂²⋊Q₈	C₂	semidirect
2. C₂×C₁₉×#396	C₂	semidirect
3. C₂×C₁₉×#393	C₂	semidirect
5. C₂×C₁₉×#380	C₂	semidirect
6. C₁₉×#1446	C₂	semidirect
7. C₁₉×#1444	C₂	semidirect
8. C₁₉×#1441	C₂	semidirect
9. C₁₉×#1439	C₂	semidirect
10. C₁₉×#1439	C₂	semidirect
52. C₂²×D₄×C₁₉	Q₈	semidirect
78. C₂×C₄⋊C₄×C₁₉	D₄	semidirect
106. C₁₉×#95	D₄	semidirect
209. #16265	C₁₉	direct (N × H)
323. C₂²×C₂²⋊Q₈	C₂×C₁₉	semidirect
324. C₂×#396	C₂×C₁₉	semidirect
325. C₂×#393	C₂×C₁₉	semidirect
327. C₂×#380	C₂×C₁₉	semidirect
328. #1446	C₂×C₁₉	semidirect
329. #1444	C₂×C₁₉	semidirect
330. #1441	C₂×C₁₉	semidirect
331. #1439	C₂×C₁₉	semidirect
332. #1439	C₂×C₁₉	semidirect
441. C₂²×D₄	Q₈×C₁₉	semidirect
467. C₂×C₄⋊C₄	D₄×C₁₉	semidirect
495. #95	D₄×C₁₉	semidirect
496. C₁₉	#16265	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×C₂²⋊Q₈	2
C₂×C₁₉×#396	2
C₂×C₁₉×#393	2
C₂×C₁₉×#386	2
C₂×C₁₉×#380	2
C₁₉×#1446	2
C₁₉×#1444	2
C₁₉×#1441	2
C₁₉×#1439	2
C₁₉×#1438	2
#16265	19

Subgroups — C19×#16265 #18022224

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#16265 #18022224