Subgroups — C₁₉×#62793 #18068752

Order 4864.

7190 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3524	C₂	1	8	yes	maximal, complemented
2	C₁₉×#3518	C₂	1	4	yes	maximal, complemented
3	C₁₉×#3517	C₂	1	4	yes	maximal, complemented
4	C₁₉×#3506	C₂	1	6	yes	maximal, complemented
5	C₁₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3497	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3493	C₂	1	6	yes	maximal, complemented
8	C₁₉×#3487	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3483	C₂	1	4	yes	maximal, complemented
10	C₁₉×#3482	C₂	1	4	yes	maximal, complemented
11	C₁₉×#3480	C₂	1	8	yes	maximal, complemented
12	C₁₉×#3460	C₂	1	6	yes	maximal, complemented
13	C₁₉×#3444	C₂	1	6	yes	maximal, complemented
14	C₄×C₁₉×2₋¹⁺⁴	C₂	1	2	yes	maximal, complemented
15	C₂×C₄×#41×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#559	C₂²	1	24	yes	complemented
19	Q₈²×C₁₉	C₂²	1	4	yes	complemented
20	C₁₉×#557	C₂²	1	8	yes	complemented
21	C₁₉×#557	C₂²	1	4	yes	complemented
22	C₁₉×#556	C₂²	1	24	yes	complemented
23	C₁₉×#556	C₂²	1	12	yes	complemented
24	C₁₉×#555	C₂²	1	24	yes	complemented
25	C₁₉×#555	C₂²	1	12	yes	complemented
26	C₁₉×#553	C₂²	1	24	yes	complemented
27	C₁₉×#553	C₂²	1	24	yes	complemented
28	C₁₉×#552	C₂²	1	24	yes	complemented
29	C₁₉×#550	C₂²	1	8	yes	—
30	C₁₉×#550	C₂²	1	8	yes	—
31	C₁₉×#550	C₂²	1	4	yes	complemented
32	C₁₉×#550	C₂²	1	12	yes	complemented
33	D₄×Q₈×C₁₉	C₂²	1	4	yes	complemented
34	C₁₉×#548	C₂²	1	8	yes	—
35	C₁₉×#548	C₂²	1	8	yes	—
36	C₁₉×#548	C₂²	1	8	yes	complemented
37	C₁₉×#547	C₂²	1	12	yes	complemented
38	C₁₉×#544	C₂²	1	6	yes	—
39	C₁₉×#542	C₂²	1	24	yes	complemented
40	C₁₉×#540	C₂²	1	24	yes	complemented
41	C₁₉×#538	C₂²	1	24	yes	—
42	C₁₉×#537	C₂²	1	6	yes	—
43	C₁₉×#535	C₂²	1	12	yes	—
44	C₁₉×#533	C₂²	1	6	yes	—
45	C₁₉×#533	C₂²	1	6	yes	complemented
46	C₁₉×#533	C₂²	1	6	yes	complemented
47	C₁₉×#532	C₂²	1	6	yes	—
48	C₁₉×#532	C₂²	1	6	yes	complemented
49	C₁₉×#532	C₂²	1	6	yes	complemented
50	C₁₉×#532	C₂²	1	24	yes	complemented
51	C₁₉×#529	C₂²	1	4	yes	—
52	C₁₉×#529	C₂²	1	12	yes	—
53	C₁₉×#529	C₂²	1	12	yes	complemented
54	C₁₉×#529	C₂²	1	12	yes	complemented
55	C₁₉×#529	C₂²	1	12	yes	complemented
56	C₁₉×#529	C₂²	1	12	yes	complemented
57	C₁₉×#529	C₂²	1	24	yes	complemented
58	C₁₉×#525	C₂²	1	12	yes	—
59	C₁₉×#525	C₂²	1	12	yes	—
60	C₁₉×#525	C₂²	1	12	yes	—
61	C₁₉×#520	C₂²	1	12	yes	—
62	C₁₉×#520	C₂²	1	8	yes	complemented
63	C₁₉×#519	C₂²	1	2	yes	—
64	C₁₉×#519	C₂²	1	8	yes	complemented
65	C₄×#41×C₁₉	C₂²	1	4	yes	—
66	C₄×#41×C₁₉	C₂²	1	4	yes	—
67	C₄×#41×C₁₉	C₂²	1	4	yes	—
68	C₄×#41×C₁₉	C₂²	1	4	yes	—
69	C₄×#41×C₁₉	C₂²	1	12	yes	—
70	C₄×#41×C₁₉	C₂²	1	8	yes	complemented
71	C₄×#41×C₁₉	C₂²	1	12	yes	complemented
72	C₄×#41×C₁₉	C₂²	1	12	yes	complemented
73	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
74	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
75	C₂×C₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
76	C₂×C₄×D₄×C₁₉	C₂²	1	3	yes	—
77	C₂×C₄×D₄×C₁₉	C₂²	1	3	yes	—
78	C₂×C₁₉×#117	C₂²	1	3	yes	—
79	C₂²×C₄²×C₁₉	C₂²	1	3	yes	—
80	C₁₉×2₋¹⁺⁴	—	2	16	no	—
81	C₂×#41×C₁₉	—	2	8	no	—
82	C₂×#41×C₁₉	C₂³	1	4	yes	—
83	C₂×#41×C₁₉	C₂³	1	4	yes	—
84	C₂×#41×C₁₉	C₂³	1	12	yes	—
85	C₂×#41×C₁₉	C₂³	1	8	yes	—
86	C₂×#41×C₁₉	C₂³	1	12	yes	—
87	C₂×#41×C₁₉	C₂³	1	12	yes	—
88	C₂²×Q₈×C₁₉	C₂³	1	8	yes	—
89	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₁₉	C₂³	1	3	yes	—
91	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
92	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
93	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
94	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
95	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
96	C₁₉×C₄⋊Q₈	C₂³	1	6	yes	—
97	C₁₉×C₄⋊Q₈	C₂³	1	24	yes	—
98	C₁₉×#127	C₂³	1	6	yes	—
99	C₁₉×#127	C₂³	1	24	yes	—
100	C₁₉×#126	C₂³	1	8	yes	—
101	C₁₉×#126	C₂³	1	24	yes	—
102	C₁₉×#126	C₂³	1	48	yes	—
103	C₁₉×#125	C₂³	1	4	yes	—
104	C₁₉×#125	C₂³	1	12	yes	—
105	C₁₉×#125	C₂³	1	12	yes	—
106	C₁₉×#125	C₂³	1	24	yes	—
107	C₁₉×#124	C₂³	1	4	yes	—
108	C₁₉×#124	C₂³	1	12	yes	—
109	C₁₉×#124	C₂³	1	12	yes	—
110	C₁₉×#124	C₂³	1	24	yes	—
111	C₁₉×#124	C₂³	1	48	yes	—
112	C₁₉×#123	C₂³	1	8	yes	—
113	C₁₉×#123	C₂³	1	24	yes	—
114	C₁₉×#123	C₂³	1	24	yes	—
115	C₁₉×#123	C₂³	1	48	yes	—
116	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
117	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
118	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
119	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
120	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
121	C₁₉×C₂²⋊Q₈	C₂³	1	12	yes	—
122	C₁₉×C₂²⋊Q₈	C₂³	1	24	yes	—
123	C₁₉×#121	C₂³	1	4	yes	—
124	C₁₉×#121	C₂³	1	12	yes	—
125	C₁₉×#121	C₂³	1	12	yes	—
126	C₁₉×#121	C₂³	1	12	yes	—
127	C₁₉×#121	C₂³	1	12	yes	—
128	C₁₉×#121	C₂³	1	12	yes	—
129	C₁₉×#121	C₂³	1	24	yes	—
130	C₁₉×#121	C₂³	1	24	yes	—
131	C₁₉×#121	C₂³	1	24	yes	—
132	C₁₉×#121	C₂³	1	48	yes	—
133	C₁₉×#120	C₂³	1	24	yes	—
134	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
135	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
136	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
137	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
138	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
139	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
140	C₄×Q₈×C₁₉	C₂³	1	24	yes	—
141	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
142	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
143	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
144	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
145	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
146	C₄×Q₈×C₁₉	C₂³	1	12	yes	—
147	C₄×D₄×C₁₉	C₂³	1	12	yes	—
148	C₄×D₄×C₁₉	C₂³	1	12	yes	—
149	C₄×D₄×C₁₉	C₂³	1	12	yes	—
150	C₄×D₄×C₁₉	C₂³	1	12	yes	—
151	C₄×D₄×C₁₉	C₂³	1	8	yes	—
152	C₄×D₄×C₁₉	C₂³	1	12	yes	—
153	C₄×D₄×C₁₉	C₂³	1	24	yes	—
154	C₄×D₄×C₁₉	C₂³	1	12	yes	—
155	C₄×D₄×C₁₉	C₂³	1	4	yes	—
156	C₄×D₄×C₁₉	C₂³	1	24	yes	—
157	C₄×D₄×C₁₉	C₂³	1	24	yes	—
158	C₄×D₄×C₁₉	C₂³	1	24	yes	—
159	C₄×D₄×C₁₉	C₂³	1	24	yes	—
160	C₄×D₄×C₁₉	C₂³	1	24	yes	—
161	C₄×D₄×C₁₉	C₂³	1	12	yes	—
162	C₄×D₄×C₁₉	C₂³	1	12	yes	—
163	C₄×D₄×C₁₉	C₂³	1	12	yes	—
164	C₁₉×#117	C₂³	1	12	yes	—
165	C₁₉×#117	C₂³	1	12	yes	—
166	C₁₉×#117	C₂³	1	12	yes	—
167	C₁₉×#117	C₂³	1	24	yes	—
168	C₁₉×#117	C₂³	1	8	yes	—
169	C₁₉×#117	C₂³	1	24	yes	—
170	C₁₉×#117	C₂³	1	12	yes	—
171	C₁₉×#117	C₂³	1	12	yes	—
172	C₁₉×#117	C₂³	1	24	yes	—
173	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
174	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
175	C₂×C₄⋊C₄×C₁₉	C₂³	1	24	yes	—
176	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
177	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
178	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
179	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
180	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
181	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
182	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
183	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
184	C₂×C₄²×C₁₉	C₂³	1	6	yes	—
185	C₂×C₄²×C₁₉	C₂³	1	24	yes	—
186	C₂⁴×C₁₉	C₂⁴	1	3	yes	—
187	#41×C₁₉	—	2	16	no	—
188	#41×C₁₉	—	2	16	no	—
189	#41×C₁₉	—	2	32	no	—
190	#41×C₁₉	—	2	48	no	—
191	#41×C₁₉	—	4	24	no	—
192	#41×C₁₉	—	4	24	no	—
193	C₂×Q₈×C₁₉	—	2	32	no	—
194	C₂×Q₈×C₁₉	#41	1	8	yes	complemented
195	C₂×Q₈×C₁₉	C₂⁴	1	12	yes	—
196	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
197	C₂×Q₈×C₁₉	C₂⁴	1	12	yes	—
198	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
199	C₂×D₄×C₁₉	—	2	12	no	—
200	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
201	C₂×D₄×C₁₉	C₂⁴	1	12	yes	—
202	C₂×D₄×C₁₉	C₂⁴	1	12	yes	—
203	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
204	C₂×D₄×C₁₉	C₂⁴	1	24	yes	—
205	C₂×D₄×C₁₉	C₂⁴	1	24	yes	—
206	C₂×D₄×C₁₉	C₂⁴	1	12	yes	—
207	C₂²×C₄×C₁₉	—	2	12	no	—
208	C₂²×C₄×C₁₉	—	4	6	no	—
209	C₂²×C₄×C₁₉	—	4	6	no	—
210	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
213	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
214	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
215	C₂²×C₄×C₁₉	C₂⁴	1	24	yes	—
216	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
218	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
219	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
220	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
221	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
222	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
223	C₂²×C₄×C₁₉	C₂⁴	1	24	yes	—
224	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
225	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
226	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
227	C₄⋊C₄×C₁₉	C₂⁴	1	24	yes	—
228	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
229	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
230	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
231	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
232	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
233	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
234	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
235	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
236	C₄⋊C₄×C₁₉	C₂⁴	1	24	yes	—
237	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
238	C₄⋊C₄×C₁₉	C₂⁴	1	12	yes	—
239	C₂²⋊C₄×C₁₉	C₂⁴	1	24	yes	—
240	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
241	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
242	C₂²⋊C₄×C₁₉	C₂⁴	1	24	yes	—
243	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
244	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
245	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
246	C₂²⋊C₄×C₁₉	C₂⁴	1	24	yes	—
247	C₂²⋊C₄×C₁₉	C₂⁴	1	24	yes	—
248	C₂²⋊C₄×C₁₉	C₂⁴	1	24	yes	—
249	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
250	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
251	C₄²×C₁₉	C₂⁴	1	6	yes	—
252	C₄²×C₁₉	C₂⁴	1	6	yes	—
253	C₄²×C₁₉	C₂⁴	1	6	yes	—
254	C₄²×C₁₉	C₂⁴	1	6	yes	—
255	C₄²×C₁₉	C₂⁴	1	6	yes	—
256	C₄²×C₁₉	C₂⁴	1	24	yes	—
257	C₄²×C₁₉	C₂⁴	1	24	yes	—
258	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
259	C₄²×C₁₉	C₂⁴	1	6	yes	—
260	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
261	C₄²×C₁₉	C₂⁴	1	8	yes	—
262	#62793	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
263	C₂³×C₁₉	—	2	6	no	—
264	C₂³×C₁₉	—	4	3	no	—
265	C₂³×C₁₉	—	4	3	no	—
266	C₂³×C₁₉	C₂⁵	1	6	yes	—
267	C₂³×C₁₉	C₂⁵	1	8	yes	—
268	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
269	Q₈×C₁₉	—	2	24	no	—
270	Q₈×C₁₉	—	2	8	no	—
271	Q₈×C₁₉	—	4	12	no	—
272	Q₈×C₁₉	C₂×#41	1	16	yes	—
273	D₄×C₁₉	—	2	16	no	—
274	D₄×C₁₉	—	2	24	no	—
275	D₄×C₁₉	—	2	24	no	—
276	D₄×C₁₉	—	2	8	no	—
277	D₄×C₁₉	—	4	12	no	—
278	D₄×C₁₉	—	4	24	no	—
279	D₄×C₁₉	—	4	24	no	—
280	C₂×C₄×C₁₉	—	2	2	no	—
281	C₂×C₄×C₁₉	—	2	12	no	—
282	C₂×C₄×C₁₉	—	2	12	no	—
283	C₂×C₄×C₁₉	—	2	48	no	—
284	C₂×C₄×C₁₉	—	2	2	no	—
285	C₂×C₄×C₁₉	—	2	2	no	—
286	C₂×C₄×C₁₉	—	2	12	no	—
287	C₂×C₄×C₁₉	—	2	12	no	—
288	C₂×C₄×C₁₉	—	2	16	no	—
289	C₂×C₄×C₁₉	—	4	3	no	—
290	C₂×C₄×C₁₉	—	4	6	no	—
291	C₂×C₄×C₁₉	—	4	6	no	—
292	C₂×C₄×C₁₉	—	4	3	no	—
293	C₂×C₄×C₁₉	—	4	24	no	—
294	C₂×C₄×C₁₉	C₂×#41	1	12	yes	—
295	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
296	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
297	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
298	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
299	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
300	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
301	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
302	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
303	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
304	C₂×C₄×C₁₉	C₂⁵	1	6	yes	—
305	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
306	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
307	#3524	C₂×C₁₉	1	8	yes	complemented
308	#3518	C₂×C₁₉	1	4	yes	complemented
309	#3517	C₂×C₁₉	1	4	yes	complemented
310	#3506	C₂×C₁₉	1	6	yes	complemented
311	#3502	C₂×C₁₉	1	1	yes	characteristic, complemented
312	#3497	C₂×C₁₉	1	1	yes	characteristic, complemented
313	#3493	C₂×C₁₉	1	6	yes	complemented
314	#3487	C₂×C₁₉	1	2	yes	complemented
315	#3483	C₂×C₁₉	1	4	yes	complemented
316	#3482	C₂×C₁₉	1	4	yes	complemented
317	#3480	C₂×C₁₉	1	8	yes	complemented
318	#3460	C₂×C₁₉	1	6	yes	complemented
319	#3444	C₂×C₁₉	1	6	yes	complemented
320	C₄×2₋¹⁺⁴	C₂×C₁₉	1	2	yes	complemented
321	C₂×C₄×#41	C₂×C₁₉	1	1	yes	characteristic, complemented
322	C₂²×C₁₉	—	2	1	no	—
323	C₂²×C₁₉	—	2	1	no	—
324	C₂²×C₁₉	—	2	8	no	—
325	C₂²×C₁₉	—	2	6	no	—
326	C₂²×C₁₉	—	2	6	no	—
327	C₂²×C₁₉	—	2	6	no	—
328	C₂²×C₁₉	—	2	8	no	—
329	C₂²×C₁₉	—	2	8	no	—
330	C₂²×C₁₉	—	4	12	no	—
331	C₂²×C₁₉	C₂²×#41	1	2	yes	—
332	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
333	C₄×C₁₉	—	2	1	no	—
334	C₄×C₁₉	—	2	1	no	—
335	C₄×C₁₉	—	2	8	no	—
336	C₄×C₁₉	—	2	1	no	—
337	C₄×C₁₉	—	2	1	no	—
338	C₄×C₁₉	—	2	6	no	—
339	C₄×C₁₉	—	2	6	no	—
340	C₄×C₁₉	—	2	8	no	—
341	C₄×C₁₉	—	2	8	no	—
342	C₄×C₁₉	C₂²×#41	1	12	yes	—
343	C₄×C₁₉	#585	1	2	yes	—
344	C₄×C₁₉	#585	1	2	yes	—
345	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	2	yes	—
346	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
347	#559	C₂²×C₁₉	1	24	yes	complemented
348	Q₈²	C₂²×C₁₉	1	4	yes	complemented
349	#557	C₂²×C₁₉	1	8	yes	complemented
350	#557	C₂²×C₁₉	1	4	yes	complemented
351	#556	C₂²×C₁₉	1	24	yes	complemented
352	#556	C₂²×C₁₉	1	12	yes	complemented
353	#555	C₂²×C₁₉	1	24	yes	complemented
354	#555	C₂²×C₁₉	1	12	yes	complemented
355	#553	C₂²×C₁₉	1	24	yes	complemented
356	#553	C₂²×C₁₉	1	24	yes	complemented
357	#552	C₂²×C₁₉	1	24	yes	complemented
358	#550	C₂²×C₁₉	1	8	yes	—
359	#550	C₂²×C₁₉	1	8	yes	—
360	#550	C₂²×C₁₉	1	4	yes	complemented
361	#550	C₂²×C₁₉	1	12	yes	complemented
362	D₄×Q₈	C₂²×C₁₉	1	4	yes	complemented
363	#548	C₂²×C₁₉	1	8	yes	—
364	#548	C₂²×C₁₉	1	8	yes	—
365	#548	C₂²×C₁₉	1	8	yes	complemented
366	#547	C₂²×C₁₉	1	12	yes	complemented
367	#544	C₂²×C₁₉	1	6	yes	—
368	#542	C₂²×C₁₉	1	24	yes	complemented
369	#540	C₂²×C₁₉	1	24	yes	complemented
370	#538	C₂²×C₁₉	1	24	yes	—
371	#537	C₂²×C₁₉	1	6	yes	—
372	#535	C₂²×C₁₉	1	12	yes	—
373	#533	C₂²×C₁₉	1	6	yes	—
374	#533	C₂²×C₁₉	1	6	yes	complemented
375	#533	C₂²×C₁₉	1	6	yes	complemented
376	#532	C₂²×C₁₉	1	6	yes	—
377	#532	C₂²×C₁₉	1	6	yes	complemented
378	#532	C₂²×C₁₉	1	6	yes	complemented
379	#532	C₂²×C₁₉	1	24	yes	complemented
380	#529	C₂²×C₁₉	1	4	yes	—
381	#529	C₂²×C₁₉	1	12	yes	—
382	#529	C₂²×C₁₉	1	12	yes	complemented
383	#529	C₂²×C₁₉	1	12	yes	complemented
384	#529	C₂²×C₁₉	1	12	yes	complemented
385	#529	C₂²×C₁₉	1	12	yes	complemented
386	#529	C₂²×C₁₉	1	24	yes	complemented
387	#525	C₂²×C₁₉	1	12	yes	—
388	#525	C₂²×C₁₉	1	12	yes	—
389	#525	C₂²×C₁₉	1	12	yes	—
390	#520	C₂²×C₁₉	1	12	yes	—
391	#520	C₂²×C₁₉	1	8	yes	complemented
392	#519	C₂²×C₁₉	1	2	yes	—
393	#519	C₂²×C₁₉	1	8	yes	complemented
394	C₄×#41	C₂²×C₁₉	1	4	yes	—
395	C₄×#41	C₂²×C₁₉	1	4	yes	—
396	C₄×#41	C₂²×C₁₉	1	4	yes	—
397	C₄×#41	C₂²×C₁₉	1	4	yes	—
398	C₄×#41	C₂²×C₁₉	1	12	yes	—
399	C₄×#41	C₂²×C₁₉	1	8	yes	complemented
400	C₄×#41	C₂²×C₁₉	1	12	yes	complemented
401	C₄×#41	C₂²×C₁₉	1	12	yes	complemented
402	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
403	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
404	C₂×C₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
405	C₂×C₄×D₄	C₂²×C₁₉	1	3	yes	—
406	C₂×C₄×D₄	C₂²×C₁₉	1	3	yes	—
407	C₂×#117	C₂²×C₁₉	1	3	yes	—
408	C₂²×C₄²	C₂²×C₁₉	1	3	yes	—
409	C₂×C₁₉	—	2	2	no	—
410	C₂×C₁₉	—	4	8	no	—
411	C₂×C₁₉	—	4	6	no	—
412	C₂×C₁₉	C₂³×#41	1	1	yes	characteristic
413	C₂×C₁₉	C₂×#585	1	1	yes	characteristic
414	C₂×C₁₉	C₂×#585	1	1	yes	characteristic
415	2₋¹⁺⁴	—	2	16	no	—
416	C₂×#41	—	2	8	no	—
417	C₂×#41	C₂³×C₁₉	1	4	yes	—
418	C₂×#41	C₂³×C₁₉	1	4	yes	—
419	C₂×#41	C₂³×C₁₉	1	12	yes	—
420	C₂×#41	C₂³×C₁₉	1	8	yes	—
421	C₂×#41	C₂³×C₁₉	1	12	yes	—
422	C₂×#41	C₂³×C₁₉	1	12	yes	—
423	C₂²×Q₈	C₂³×C₁₉	1	8	yes	—
424	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
425	C₂²×D₄	C₂³×C₁₉	1	3	yes	—
426	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
427	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
428	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
429	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
430	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
431	C₄⋊Q₈	C₂³×C₁₉	1	6	yes	—
432	C₄⋊Q₈	C₂³×C₁₉	1	24	yes	—
433	#127	C₂³×C₁₉	1	6	yes	—
434	#127	C₂³×C₁₉	1	24	yes	—
435	#126	C₂³×C₁₉	1	8	yes	—
436	#126	C₂³×C₁₉	1	24	yes	—
437	#126	C₂³×C₁₉	1	48	yes	—
438	#125	C₂³×C₁₉	1	4	yes	—
439	#125	C₂³×C₁₉	1	12	yes	—
440	#125	C₂³×C₁₉	1	12	yes	—
441	#125	C₂³×C₁₉	1	24	yes	—
442	#124	C₂³×C₁₉	1	4	yes	—
443	#124	C₂³×C₁₉	1	12	yes	—
444	#124	C₂³×C₁₉	1	12	yes	—
445	#124	C₂³×C₁₉	1	24	yes	—
446	#124	C₂³×C₁₉	1	48	yes	—
447	#123	C₂³×C₁₉	1	8	yes	—
448	#123	C₂³×C₁₉	1	24	yes	—
449	#123	C₂³×C₁₉	1	24	yes	—
450	#123	C₂³×C₁₉	1	48	yes	—
451	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
452	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
453	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
454	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
455	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
456	C₂²⋊Q₈	C₂³×C₁₉	1	12	yes	—
457	C₂²⋊Q₈	C₂³×C₁₉	1	24	yes	—
458	#121	C₂³×C₁₉	1	4	yes	—
459	#121	C₂³×C₁₉	1	12	yes	—
460	#121	C₂³×C₁₉	1	12	yes	—
461	#121	C₂³×C₁₉	1	12	yes	—
462	#121	C₂³×C₁₉	1	12	yes	—
463	#121	C₂³×C₁₉	1	12	yes	—
464	#121	C₂³×C₁₉	1	24	yes	—
465	#121	C₂³×C₁₉	1	24	yes	—
466	#121	C₂³×C₁₉	1	24	yes	—
467	#121	C₂³×C₁₉	1	48	yes	—
468	#120	C₂³×C₁₉	1	24	yes	—
469	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
470	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
471	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
472	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
473	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
474	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
475	C₄×Q₈	C₂³×C₁₉	1	24	yes	—
476	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
477	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
478	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
479	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
480	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
481	C₄×Q₈	C₂³×C₁₉	1	12	yes	—
482	C₄×D₄	C₂³×C₁₉	1	12	yes	—
483	C₄×D₄	C₂³×C₁₉	1	12	yes	—
484	C₄×D₄	C₂³×C₁₉	1	12	yes	—
485	C₄×D₄	C₂³×C₁₉	1	12	yes	—
486	C₄×D₄	C₂³×C₁₉	1	8	yes	—
487	C₄×D₄	C₂³×C₁₉	1	12	yes	—
488	C₄×D₄	C₂³×C₁₉	1	24	yes	—
489	C₄×D₄	C₂³×C₁₉	1	12	yes	—
490	C₄×D₄	C₂³×C₁₉	1	4	yes	—
491	C₄×D₄	C₂³×C₁₉	1	24	yes	—
492	C₄×D₄	C₂³×C₁₉	1	24	yes	—
493	C₄×D₄	C₂³×C₁₉	1	24	yes	—
494	C₄×D₄	C₂³×C₁₉	1	24	yes	—
495	C₄×D₄	C₂³×C₁₉	1	24	yes	—
496	C₄×D₄	C₂³×C₁₉	1	12	yes	—
497	C₄×D₄	C₂³×C₁₉	1	12	yes	—
498	C₄×D₄	C₂³×C₁₉	1	12	yes	—
499	#117	C₂³×C₁₉	1	12	yes	—
500	#117	C₂³×C₁₉	1	12	yes	—
501	#117	C₂³×C₁₉	1	12	yes	—
502	#117	C₂³×C₁₉	1	24	yes	—
503	#117	C₂³×C₁₉	1	8	yes	—
504	#117	C₂³×C₁₉	1	24	yes	—
505	#117	C₂³×C₁₉	1	12	yes	—
506	#117	C₂³×C₁₉	1	12	yes	—
507	#117	C₂³×C₁₉	1	24	yes	—
508	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
509	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
510	C₂×C₄⋊C₄	C₂³×C₁₉	1	24	yes	—
511	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
512	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
513	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
514	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
515	C₂×C₄²	C₂³×C₁₉	1	24	yes	—
516	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
517	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
518	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
519	C₂×C₄²	C₂³×C₁₉	1	6	yes	—
520	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
521	C₁₉	#62793	1	1	yes	characteristic, direct product factor, Sylow
522	C₂⁴	C₂⁴×C₁₉	1	3	yes	—
523	#41	—	2	16	no	—
524	#41	—	2	16	no	—
525	#41	—	2	32	no	—
526	#41	—	2	48	no	—
527	#41	—	4	24	no	—
528	#41	—	4	24	no	—
529	C₂×Q₈	—	2	32	no	—
530	C₂×Q₈	#41×C₁₉	1	8	yes	complemented
531	C₂×Q₈	C₂⁴×C₁₉	1	12	yes	—
532	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
533	C₂×Q₈	C₂⁴×C₁₉	1	12	yes	—
534	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
535	C₂×D₄	—	2	12	no	—
536	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
537	C₂×D₄	C₂⁴×C₁₉	1	12	yes	—
538	C₂×D₄	C₂⁴×C₁₉	1	12	yes	—
539	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
540	C₂×D₄	C₂⁴×C₁₉	1	24	yes	—
541	C₂×D₄	C₂⁴×C₁₉	1	24	yes	—
542	C₂×D₄	C₂⁴×C₁₉	1	12	yes	—
543	C₂²×C₄	—	2	12	no	—
544	C₂²×C₄	—	4	6	no	—
545	C₂²×C₄	—	4	6	no	—
546	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
547	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
549	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
550	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
551	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
552	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
553	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
554	C₂²×C₄	C₂⁴×C₁₉	1	24	yes	—
555	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
556	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
557	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
558	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
559	C₂²×C₄	C₂⁴×C₁₉	1	24	yes	—
560	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
561	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
562	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
563	C₄⋊C₄	C₂⁴×C₁₉	1	24	yes	—
564	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
565	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
566	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
567	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
568	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
569	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
570	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
571	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
572	C₄⋊C₄	C₂⁴×C₁₉	1	24	yes	—
573	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
574	C₄⋊C₄	C₂⁴×C₁₉	1	12	yes	—
575	C₂²⋊C₄	C₂⁴×C₁₉	1	24	yes	—
576	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
577	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
578	C₂²⋊C₄	C₂⁴×C₁₉	1	24	yes	—
579	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
580	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
581	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
582	C₂²⋊C₄	C₂⁴×C₁₉	1	24	yes	—
583	C₂²⋊C₄	C₂⁴×C₁₉	1	24	yes	—
584	C₂²⋊C₄	C₂⁴×C₁₉	1	24	yes	—
585	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
586	C₄²	C₂⁴×C₁₉	1	6	yes	—
587	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
588	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
589	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
590	C₄²	C₂⁴×C₁₉	1	6	yes	—
591	C₄²	C₂⁴×C₁₉	1	6	yes	—
592	C₄²	C₂⁴×C₁₉	1	8	yes	—
593	C₄²	C₂⁴×C₁₉	1	6	yes	—
594	C₄²	C₂⁴×C₁₉	1	6	yes	—
595	C₄²	C₂⁴×C₁₉	1	6	yes	—
596	C₄²	C₂⁴×C₁₉	1	24	yes	—
597	C₄²	C₂⁴×C₁₉	1	24	yes	—
598	C₂³	—	2	6	no	—
599	C₂³	—	4	3	no	—
600	C₂³	—	4	3	no	—
601	C₂³	C₂⁵×C₁₉	1	6	yes	—
602	C₂³	C₂⁵×C₁₉	1	8	yes	—
603	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
604	Q₈	—	2	24	no	—
605	Q₈	—	2	8	no	—
606	Q₈	—	4	12	no	—
607	Q₈	C₂×#41×C₁₉	1	16	yes	—
608	D₄	—	2	16	no	—
609	D₄	—	2	24	no	—
610	D₄	—	2	24	no	—
611	D₄	—	2	8	no	—
612	D₄	—	4	12	no	—
613	D₄	—	4	24	no	—
614	D₄	—	4	24	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	12	no	—
617	C₂×C₄	—	2	12	no	—
618	C₂×C₄	—	2	48	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	12	no	—
622	C₂×C₄	—	2	12	no	—
623	C₂×C₄	—	2	16	no	—
624	C₂×C₄	—	4	3	no	—
625	C₂×C₄	—	4	6	no	—
626	C₂×C₄	—	4	6	no	—
627	C₂×C₄	—	4	3	no	—
628	C₂×C₄	—	4	24	no	—
629	C₂×C₄	C₂×#41×C₁₉	1	12	yes	—
630	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
631	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
632	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
633	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
634	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
635	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
636	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
637	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
638	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
639	C₂×C₄	C₂⁵×C₁₉	1	6	yes	—
640	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
641	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
642	C₂²	—	2	1	no	—
643	C₂²	—	2	1	no	—
644	C₂²	—	2	8	no	—
645	C₂²	—	2	6	no	—
646	C₂²	—	2	6	no	—
647	C₂²	—	2	6	no	—
648	C₂²	—	2	8	no	—
649	C₂²	—	2	8	no	—
650	C₂²	—	4	12	no	—
651	C₂²	C₂²×#41×C₁₉	1	2	yes	—
652	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
653	C₄	—	2	1	no	—
654	C₄	—	2	1	no	—
655	C₄	—	2	8	no	—
656	C₄	—	2	1	no	—
657	C₄	—	2	1	no	—
658	C₄	—	2	6	no	—
659	C₄	—	2	6	no	—
660	C₄	—	2	8	no	—
661	C₄	—	2	8	no	—
662	C₄	C₂²×#41×C₁₉	1	12	yes	—
663	C₄	C₁₉×#585	1	2	yes	—
664	C₄	C₁₉×#585	1	2	yes	—
665	C₂	—	2	2	no	—
666	C₂	—	4	6	no	—
667	C₂	—	4	8	no	—
668	C₂	C₂³×#41×C₁₉	1	1	yes	characteristic
669	C₂	C₂×C₁₉×#585	1	1	yes	characteristic
670	C₂	C₂×C₁₉×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₉
socle	C₂²×C₁₉	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3524	C₂	semidirect
2. C₁₉×#3518	C₂	semidirect
3. C₁₉×#3517	C₂	semidirect
4. C₁₉×#3506	C₂	semidirect
5. C₁₉×#3502	C₂	semidirect
6. C₁₉×#3497	C₂	semidirect
7. C₁₉×#3493	C₂	semidirect
8. C₁₉×#3487	C₂	semidirect
9. C₁₉×#3483	C₂	semidirect
10. C₁₉×#3482	C₂	semidirect
11. C₁₉×#3480	C₂	semidirect
12. C₁₉×#3460	C₂	semidirect
13. C₁₉×#3444	C₂	semidirect
14. C₄×C₁₉×2₋¹⁺⁴	C₂	semidirect
15. C₂×C₄×#41×C₁₉	C₂	semidirect
18. C₁₉×#559	C₂²	semidirect
19. Q₈²×C₁₉	C₂²	semidirect
20. C₁₉×#557	C₂²	semidirect
21. C₁₉×#557	C₂²	semidirect
22. C₁₉×#556	C₂²	semidirect
23. C₁₉×#556	C₂²	semidirect
24. C₁₉×#555	C₂²	semidirect
25. C₁₉×#555	C₂²	semidirect
26. C₁₉×#553	C₂²	semidirect
27. C₁₉×#553	C₂²	semidirect
28. C₁₉×#552	C₂²	semidirect
31. C₁₉×#550	C₂²	semidirect
32. C₁₉×#550	C₂²	semidirect
33. D₄×Q₈×C₁₉	C₂²	semidirect
36. C₁₉×#548	C₂²	semidirect
37. C₁₉×#547	C₂²	semidirect
39. C₁₉×#542	C₂²	semidirect
40. C₁₉×#540	C₂²	semidirect
45. C₁₉×#533	C₂²	semidirect
46. C₁₉×#533	C₂²	semidirect
48. C₁₉×#532	C₂²	semidirect
49. C₁₉×#532	C₂²	semidirect
50. C₁₉×#532	C₂²	semidirect
53. C₁₉×#529	C₂²	semidirect
54. C₁₉×#529	C₂²	semidirect
55. C₁₉×#529	C₂²	semidirect
56. C₁₉×#529	C₂²	semidirect
57. C₁₉×#529	C₂²	semidirect
62. C₁₉×#520	C₂²	semidirect
64. C₁₉×#519	C₂²	semidirect
70. C₄×#41×C₁₉	C₂²	semidirect
71. C₄×#41×C₁₉	C₂²	semidirect
72. C₄×#41×C₁₉	C₂²	semidirect
75. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
194. C₂×Q₈×C₁₉	#41	semidirect
262. #62793	C₁₉	direct (N × H)
307. #3524	C₂×C₁₉	semidirect
308. #3518	C₂×C₁₉	semidirect
309. #3517	C₂×C₁₉	semidirect
310. #3506	C₂×C₁₉	semidirect
311. #3502	C₂×C₁₉	semidirect
312. #3497	C₂×C₁₉	semidirect
313. #3493	C₂×C₁₉	semidirect
314. #3487	C₂×C₁₉	semidirect
315. #3483	C₂×C₁₉	semidirect
316. #3482	C₂×C₁₉	semidirect
317. #3480	C₂×C₁₉	semidirect
318. #3460	C₂×C₁₉	semidirect
319. #3444	C₂×C₁₉	semidirect
320. C₄×2₋¹⁺⁴	C₂×C₁₉	semidirect
321. C₂×C₄×#41	C₂×C₁₉	semidirect
347. #559	C₂²×C₁₉	semidirect
348. Q₈²	C₂²×C₁₉	semidirect
349. #557	C₂²×C₁₉	semidirect
350. #557	C₂²×C₁₉	semidirect
351. #556	C₂²×C₁₉	semidirect
352. #556	C₂²×C₁₉	semidirect
353. #555	C₂²×C₁₉	semidirect
354. #555	C₂²×C₁₉	semidirect
355. #553	C₂²×C₁₉	semidirect
356. #553	C₂²×C₁₉	semidirect
357. #552	C₂²×C₁₉	semidirect
360. #550	C₂²×C₁₉	semidirect
361. #550	C₂²×C₁₉	semidirect
362. D₄×Q₈	C₂²×C₁₉	semidirect
365. #548	C₂²×C₁₉	semidirect
366. #547	C₂²×C₁₉	semidirect
368. #542	C₂²×C₁₉	semidirect
369. #540	C₂²×C₁₉	semidirect
374. #533	C₂²×C₁₉	semidirect
375. #533	C₂²×C₁₉	semidirect
377. #532	C₂²×C₁₉	semidirect
378. #532	C₂²×C₁₉	semidirect
379. #532	C₂²×C₁₉	semidirect
382. #529	C₂²×C₁₉	semidirect
383. #529	C₂²×C₁₉	semidirect
384. #529	C₂²×C₁₉	semidirect
385. #529	C₂²×C₁₉	semidirect
386. #529	C₂²×C₁₉	semidirect
391. #520	C₂²×C₁₉	semidirect
393. #519	C₂²×C₁₉	semidirect
399. C₄×#41	C₂²×C₁₉	semidirect
400. C₄×#41	C₂²×C₁₉	semidirect
401. C₄×#41	C₂²×C₁₉	semidirect
404. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
521. C₁₉	#62793	direct (N × H)
530. C₂×Q₈	#41×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3524	2
C₁₉×#3518	2
C₁₉×#3517	2
C₁₉×#3506	2
C₁₉×#3502	2
C₁₉×#3497	2
C₁₉×#3493	2
C₁₉×#3487	2
C₁₉×#3483	2
C₁₉×#3482	2
C₁₉×#3480	2
C₁₉×#3460	2
C₁₉×#3444	2
C₄×C₁₉×2₋¹⁺⁴	2
C₂×C₄×#41×C₁₉	2
#62793	19

Subgroups — C19×#62793 #18068752

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62793 #18068752