Subgroups — C₁₉×#62340 #18068299

Order 4864.

1912 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3546	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3355	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3353	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3304	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3297	C₂	1	4	yes	maximal, complemented
6	C₁₉×#3294	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3251	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3203	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3199	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3169	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3062	C₂	1	4	yes	maximal, complemented
15	C₁₉×#2931	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
17	C₂×C₁₉×#131	C₂²	1	2	yes	complemented
18	C₁₉×#560	—	2	4	no	—
19	C₁₉×#556	C₂²	1	2	yes	complemented
20	C₁₉×#553	C₂²	1	4	yes	complemented
21	C₁₉×#550	—	2	2	no	—
22	C₁₉×#550	C₂²	1	2	yes	—
23	C₁₉×#547	C₂²	1	2	yes	—
24	C₁₉×#546	—	2	2	no	—
25	C₁₉×#546	C₂²	1	4	yes	complemented
26	D₄²×C₁₉	C₂²	1	2	yes	complemented
27	C₁₉×#542	—	2	2	no	—
28	C₁₉×#538	—	2	4	no	—
29	C₁₉×#537	C₂²	1	4	yes	complemented
30	C₁₉×#535	—	2	2	no	—
31	C₁₉×#535	C₂²	1	4	yes	complemented
32	C₁₉×#532	C₂²	1	1	yes	characteristic
33	C₁₉×#532	C₂²	1	2	yes	complemented
34	C₁₉×#529	C₂²	1	2	yes	complemented
35	C₁₉×#500	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#495	C₂²	1	1	yes	characteristic
38	C₁₉×#493	C₂²	1	1	yes	characteristic
39	C₁₉×#488	C₂²	1	2	yes	complemented
40	C₁₉×#486	C₂²	1	2	yes	complemented
41	C₁₉×#484	C₂²	1	4	yes	complemented
42	C₁₉×#482	C₂²	1	4	yes	complemented
43	C₁₉×#482	C₂²	1	4	yes	complemented
44	C₁₉×#480	C₂²	1	4	yes	complemented
45	C₁₉×#478	C₂²	1	4	yes	complemented
46	C₁₉×#475	C₂²	1	2	yes	complemented
47	C₁₉×#474	C₂²	1	2	yes	complemented
48	C₁₉×#469	C₂²	1	4	yes	complemented
49	C₁₉×#469	C₂²	1	4	yes	complemented
50	C₁₉×#468	C₂²	1	4	yes	complemented
51	C₁₉×#468	C₂²	1	4	yes	complemented
52	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#466	C₂²	1	1	yes	characteristic
54	C₁₉×#466	C₂²	1	4	yes	—
55	C₁₉×#466	C₂²	1	2	yes	complemented
56	C₁₉×#466	C₂²	1	2	yes	complemented
57	C₁₉×#465	C₂²	1	2	yes	complemented
58	C₁₉×#465	C₂²	1	4	yes	complemented
59	C₁₉×#463	C₂²	1	4	yes	complemented
60	C₁₉×#460	C₂²	1	2	yes	complemented
61	C₁₉×#459	C₂²	1	2	yes	—
62	C₁₉×#452	C₂²	1	4	yes	complemented
63	C₁₉×#449	C₂²	1	4	yes	complemented
64	C₁₉×#447	C₂²	1	4	yes	—
65	C₁₉×#447	C₂²	1	4	yes	complemented
66	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
67	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
68	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
69	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
70	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
71	C₁₉×#436	C₂²	1	2	yes	complemented
72	C₁₉×#436	C₂²	1	2	yes	complemented
73	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
74	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
75	C₁₉×#428	C₂²	1	4	yes	complemented
76	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#416	C₂²	1	4	yes	complemented
78	C₂×C₁₉×#102	C₂²	1	4	yes	complemented
79	C₁₉×#408	C₂²	1	2	yes	complemented
80	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
81	C₂×#41×C₁₉	—	2	2	no	—
82	C₂×#41×C₁₉	—	2	2	no	—
83	C₂×#41×C₁₉	C₂³	1	4	yes	—
84	C₂×#41×C₁₉	C₂³	1	2	yes	—
85	C₂²×D₄×C₁₉	—	2	2	no	—
86	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
87	C₁₉×AGL(1,ℤ/8)	—	4	8	no	—
88	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
90	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
91	C₂×D₈×C₁₉	C₂³	1	2	yes	—
92	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
93	C₂×D₈×C₁₉	C₂³	1	2	yes	—
94	C₂×D₈×C₁₉	C₂³	1	4	yes	—
95	C₁₉×#131	—	4	4	no	—
96	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
97	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
98	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
99	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
101	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
102	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
103	C₁₉×#127	—	2	2	no	—
104	C₁₉×#127	—	2	4	no	—
105	C₁₉×#127	D₄	1	1	yes	characteristic
106	C₁₉×#127	C₂³	1	2	yes	—
107	C₁₉×#126	—	2	4	no	—
108	C₁₉×#126	—	2	4	no	—
109	C₁₉×#126	—	2	2	no	—
110	C₁₉×#125	C₂³	1	2	yes	—
111	C₁₉×#124	—	2	4	no	—
112	C₁₉×#124	—	2	2	no	—
113	C₁₉×#124	—	2	2	no	—
114	C₁₉×#124	D₄	1	2	yes	—
115	C₁₉×#124	C₂³	1	2	yes	—
116	C₁₉×#123	—	2	2	no	—
117	C₁₉×#123	—	2	4	no	—
118	C₁₉×#123	—	2	4	no	—
119	C₁₉×#123	—	2	4	no	—
120	C₁₉×C₂²⋊Q₈	—	2	4	no	—
121	C₁₉×C₂²⋊Q₈	—	2	2	no	—
122	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
123	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
124	C₁₉×#121	—	2	4	no	—
125	C₁₉×#121	—	2	4	no	—
126	C₁₉×#121	—	2	4	no	—
127	C₁₉×#121	—	2	4	no	—
128	C₁₉×#121	—	2	2	no	—
129	C₁₉×#121	—	2	2	no	—
130	C₁₉×#121	—	2	4	no	—
131	C₁₉×#121	—	2	4	no	—
132	C₁₉×#121	D₄	1	2	yes	—
133	C₁₉×#121	D₄	1	2	yes	—
134	C₁₉×#121	C₂³	1	4	yes	—
135	C₁₉×#121	C₂³	1	4	yes	—
136	C₁₉×#121	C₂³	1	4	yes	—
137	C₁₉×#121	C₂³	1	2	yes	—
138	C₁₉×#121	C₂³	1	4	yes	—
139	C₁₉×#120	—	2	4	no	—
140	C₁₉×#120	—	2	4	no	—
141	C₁₉×#120	—	2	4	no	—
142	C₁₉×#120	—	2	4	no	—
143	C₄×Q₈×C₁₉	—	2	2	no	—
144	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
145	C₄×D₄×C₁₉	—	2	2	no	—
146	C₄×D₄×C₁₉	—	2	2	no	—
147	C₄×D₄×C₁₉	—	2	4	no	—
148	C₄×D₄×C₁₉	—	2	2	no	—
149	C₄×D₄×C₁₉	C₂³	1	2	yes	—
150	C₄×D₄×C₁₉	C₂³	1	4	yes	—
151	C₄×D₄×C₁₉	C₂³	1	2	yes	—
152	C₄×D₄×C₁₉	C₂³	1	2	yes	—
153	C₁₉×#117	—	2	2	no	—
154	C₁₉×#117	C₂³	1	4	yes	—
155	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
156	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
157	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
158	C₁₉×#107	C₂³	1	2	yes	—
159	C₁₉×#107	C₂³	1	4	yes	—
160	C₁₉×#107	C₂³	1	1	yes	characteristic
161	C₁₉×#107	C₂³	1	2	yes	—
162	C₁₉×#107	C₂³	1	1	yes	characteristic
163	C₁₉×#106	C₂³	1	2	yes	—
164	C₁₉×#106	C₂³	1	4	yes	—
165	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
166	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
167	C₁₉×#103	C₂³	1	2	yes	—
168	C₁₉×#103	C₂³	1	4	yes	—
169	C₁₉×#103	C₂³	1	2	yes	—
170	C₁₉×#102	C₂³	1	2	yes	—
171	C₁₉×#102	C₂³	1	4	yes	—
172	C₁₉×#102	C₂³	1	4	yes	—
173	C₁₉×#102	C₂³	1	4	yes	—
174	C₁₉×#102	C₂³	1	4	yes	—
175	C₁₉×#102	C₂³	1	4	yes	—
176	C₁₉×#102	C₂³	1	2	yes	—
177	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
178	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
179	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
181	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
182	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
183	C₂⁴×C₁₉	—	2	4	no	—
184	#41×C₁₉	—	4	2	no	—
185	#41×C₁₉	—	4	2	no	—
186	#41×C₁₉	—	4	4	no	—
187	#41×C₁₉	—	4	4	no	—
188	#41×C₁₉	—	8	4	no	—
189	#41×C₁₉	—	8	4	no	—
190	C₂×Q₈×C₁₉	—	2	2	no	—
191	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
192	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
193	C₂×D₄×C₁₉	—	2	2	no	—
194	C₂×D₄×C₁₉	—	2	4	no	—
195	C₂×D₄×C₁₉	—	2	4	no	—
196	C₂×D₄×C₁₉	—	2	4	no	—
197	C₂×D₄×C₁₉	—	2	4	no	—
198	C₂×D₄×C₁₉	—	2	4	no	—
199	C₂×D₄×C₁₉	—	2	2	no	—
200	C₂×D₄×C₁₉	—	2	2	no	—
201	C₂×D₄×C₁₉	—	2	4	no	—
202	C₂×D₄×C₁₉	—	4	4	no	—
203	C₂×D₄×C₁₉	—	4	4	no	—
204	C₂×D₄×C₁₉	—	8	4	no	—
205	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
206	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
207	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
208	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
209	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
210	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
211	C₂²×C₄×C₁₉	—	2	4	no	—
212	C₂²×C₄×C₁₉	—	2	2	no	—
213	C₂²×C₄×C₁₉	—	2	4	no	—
214	C₂²×C₄×C₁₉	—	2	4	no	—
215	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
218	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
219	Q₁₆×C₁₉	—	4	1	no	—
220	SD₁₆×C₁₉	—	2	4	no	—
221	SD₁₆×C₁₉	—	4	4	no	—
222	D₈×C₁₉	—	2	4	no	—
223	D₈×C₁₉	—	4	2	no	—
224	D₈×C₁₉	—	4	1	no	—
225	D₈×C₁₉	—	4	4	no	—
226	M₁₆×C₁₉	—	2	8	no	—
227	M₁₆×C₁₉	—	4	2	no	—
228	C₂×C₈×C₁₉	—	2	2	no	—
229	C₂×C₈×C₁₉	—	4	1	no	—
230	C₂×C₈×C₁₉	—	4	4	no	—
231	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
232	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
233	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
234	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
235	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
236	C₄⋊C₄×C₁₉	—	2	4	no	—
237	C₄⋊C₄×C₁₉	—	2	2	no	—
238	C₄⋊C₄×C₁₉	—	2	2	no	—
239	C₄⋊C₄×C₁₉	—	2	2	no	—
240	C₄⋊C₄×C₁₉	—	2	2	no	—
241	C₄⋊C₄×C₁₉	—	2	4	no	—
242	C₄⋊C₄×C₁₉	—	2	2	no	—
243	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
244	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
245	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
246	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
247	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
248	C₂²⋊C₄×C₁₉	—	2	4	no	—
249	C₂²⋊C₄×C₁₉	—	2	4	no	—
250	C₂²⋊C₄×C₁₉	—	2	2	no	—
251	C₂²⋊C₄×C₁₉	—	2	2	no	—
252	C₂²⋊C₄×C₁₉	—	2	4	no	—
253	C₂²⋊C₄×C₁₉	—	2	2	no	—
254	C₂²⋊C₄×C₁₉	—	2	2	no	—
255	C₂²⋊C₄×C₁₉	—	2	4	no	—
256	C₂²⋊C₄×C₁₉	—	2	4	no	—
257	C₂²⋊C₄×C₁₉	—	2	4	no	—
258	C₂²⋊C₄×C₁₉	—	2	2	no	—
259	C₂²⋊C₄×C₁₉	—	2	4	no	—
260	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
261	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
262	C₄²×C₁₉	—	2	2	no	—
263	C₄²×C₁₉	—	2	4	no	—
264	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
265	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
266	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
267	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
268	#62340	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
269	C₂³×C₁₉	—	2	2	no	—
270	C₂³×C₁₉	—	2	4	no	—
271	C₂³×C₁₉	—	8	4	no	—
272	C₂³×C₁₉	—	8	4	no	—
273	C₂³×C₁₉	—	8	4	no	—
274	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
275	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
276	Q₈×C₁₉	—	2	2	no	—
277	Q₈×C₁₉	—	2	2	no	—
278	Q₈×C₁₉	—	4	2	no	—
279	Q₈×C₁₉	—	4	4	no	—
280	D₄×C₁₉	—	2	4	no	—
281	D₄×C₁₉	—	2	4	no	—
282	D₄×C₁₉	—	2	2	no	—
283	D₄×C₁₉	—	2	2	no	—
284	D₄×C₁₉	—	2	4	no	—
285	D₄×C₁₉	—	4	2	no	—
286	D₄×C₁₉	—	4	4	no	—
287	D₄×C₁₉	—	4	2	no	—
288	D₄×C₁₉	—	4	4	no	—
289	D₄×C₁₉	—	8	2	no	—
290	D₄×C₁₉	—	8	4	no	—
291	D₄×C₁₉	—	8	2	no	—
292	D₄×C₁₉	—	8	4	no	—
293	D₄×C₁₉	—	8	4	no	—
294	D₄×C₁₉	—	8	4	no	—
295	D₄×C₁₉	—	8	4	no	—
296	D₄×C₁₉	—	8	4	no	—
297	C₂×C₄×C₁₉	—	2	2	no	—
298	C₂×C₄×C₁₉	—	2	1	no	—
299	C₂×C₄×C₁₉	—	2	4	no	—
300	C₂×C₄×C₁₉	—	2	1	no	—
301	C₂×C₄×C₁₉	—	2	4	no	—
302	C₂×C₄×C₁₉	—	2	2	no	—
303	C₂×C₄×C₁₉	—	2	2	no	—
304	C₂×C₄×C₁₉	—	2	4	no	—
305	C₂×C₄×C₁₉	—	2	2	no	—
306	C₂×C₄×C₁₉	—	4	1	no	—
307	C₂×C₄×C₁₉	—	4	4	no	—
308	C₂×C₄×C₁₉	—	8	4	no	—
309	C₂×C₄×C₁₉	—	8	4	no	—
310	C₂×C₄×C₁₉	—	8	4	no	—
311	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
312	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
313	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
314	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
315	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
316	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
317	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
318	C₈×C₁₉	—	2	1	no	—
319	C₈×C₁₉	—	2	4	no	—
320	C₈×C₁₉	—	2	1	no	—
321	C₈×C₁₉	—	2	1	no	—
322	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
323	#3546	C₂×C₁₉	1	2	yes	complemented
324	#3355	C₂×C₁₉	1	2	yes	complemented
325	#3353	C₂×C₁₉	1	2	yes	complemented
326	#3304	C₂×C₁₉	1	2	yes	complemented
327	#3297	C₂×C₁₉	1	4	yes	complemented
328	#3294	C₂×C₁₉	1	2	yes	complemented
329	#3274	C₂×C₁₉	1	2	yes	complemented
330	#3273	C₂×C₁₉	1	2	yes	complemented
331	#3251	C₂×C₁₉	1	2	yes	complemented
332	#3203	C₂×C₁₉	1	2	yes	complemented
333	#3199	C₂×C₁₉	1	2	yes	complemented
334	#3169	C₂×C₁₉	1	1	yes	characteristic, complemented
335	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
336	#3062	C₂×C₁₉	1	4	yes	complemented
337	#2931	C₂×C₁₉	1	1	yes	characteristic, complemented
338	C₂²×C₁₉	—	2	1	no	—
339	C₂²×C₁₉	—	2	4	no	—
340	C₂²×C₁₉	—	2	1	no	—
341	C₂²×C₁₉	—	2	4	no	—
342	C₂²×C₁₉	—	2	1	no	—
343	C₂²×C₁₉	—	2	4	no	—
344	C₂²×C₁₉	—	4	4	no	—
345	C₂²×C₁₉	—	4	2	no	—
346	C₂²×C₁₉	—	4	4	no	—
347	C₂²×C₁₉	—	4	2	no	—
348	C₂²×C₁₉	—	4	2	no	—
349	C₂²×C₁₉	—	4	4	no	—
350	C₂²×C₁₉	—	16	8	no	—
351	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
352	C₄×C₁₉	—	2	1	no	—
353	C₄×C₁₉	—	2	1	no	—
354	C₄×C₁₉	—	2	4	no	—
355	C₄×C₁₉	—	2	1	no	—
356	C₄×C₁₉	—	2	1	no	—
357	C₄×C₁₉	—	4	2	no	—
358	C₄×C₁₉	—	4	2	no	—
359	C₄×C₁₉	—	4	2	no	—
360	C₄×C₁₉	—	4	4	no	—
361	C₄×C₁₉	#576	1	2	yes	—
362	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
363	C₄×C₁₉	#585	1	1	yes	characteristic
364	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	4	yes	complemented
365	C₂×#131	C₂²×C₁₉	1	2	yes	complemented
366	#560	—	2	4	no	—
367	#556	C₂²×C₁₉	1	2	yes	complemented
368	#553	C₂²×C₁₉	1	4	yes	complemented
369	#550	—	2	2	no	—
370	#550	C₂²×C₁₉	1	2	yes	—
371	#547	C₂²×C₁₉	1	2	yes	—
372	#546	—	2	2	no	—
373	#546	C₂²×C₁₉	1	4	yes	complemented
374	D₄²	C₂²×C₁₉	1	2	yes	complemented
375	#542	—	2	2	no	—
376	#538	—	2	4	no	—
377	#537	C₂²×C₁₉	1	4	yes	complemented
378	#535	—	2	2	no	—
379	#535	C₂²×C₁₉	1	4	yes	complemented
380	#532	C₂²×C₁₉	1	1	yes	characteristic
381	#532	C₂²×C₁₉	1	2	yes	complemented
382	#529	C₂²×C₁₉	1	2	yes	complemented
383	#500	C₂²×C₁₉	1	1	yes	characteristic, complemented
384	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
385	#495	C₂²×C₁₉	1	1	yes	characteristic
386	#493	C₂²×C₁₉	1	1	yes	characteristic
387	#488	C₂²×C₁₉	1	2	yes	complemented
388	#486	C₂²×C₁₉	1	2	yes	complemented
389	#484	C₂²×C₁₉	1	4	yes	complemented
390	#482	C₂²×C₁₉	1	4	yes	complemented
391	#482	C₂²×C₁₉	1	4	yes	complemented
392	#480	C₂²×C₁₉	1	4	yes	complemented
393	#478	C₂²×C₁₉	1	4	yes	complemented
394	#475	C₂²×C₁₉	1	2	yes	complemented
395	#474	C₂²×C₁₉	1	2	yes	complemented
396	#469	C₂²×C₁₉	1	4	yes	complemented
397	#469	C₂²×C₁₉	1	4	yes	complemented
398	#468	C₂²×C₁₉	1	4	yes	complemented
399	#468	C₂²×C₁₉	1	4	yes	complemented
400	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
401	#466	C₂²×C₁₉	1	1	yes	characteristic
402	#466	C₂²×C₁₉	1	4	yes	—
403	#466	C₂²×C₁₉	1	2	yes	complemented
404	#466	C₂²×C₁₉	1	2	yes	complemented
405	#465	C₂²×C₁₉	1	2	yes	complemented
406	#465	C₂²×C₁₉	1	4	yes	complemented
407	#463	C₂²×C₁₉	1	4	yes	complemented
408	#460	C₂²×C₁₉	1	2	yes	complemented
409	#459	C₂²×C₁₉	1	2	yes	—
410	#452	C₂²×C₁₉	1	4	yes	complemented
411	#449	C₂²×C₁₉	1	4	yes	complemented
412	#447	C₂²×C₁₉	1	4	yes	—
413	#447	C₂²×C₁₉	1	4	yes	complemented
414	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
415	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
416	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
417	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
418	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
419	#436	C₂²×C₁₉	1	2	yes	complemented
420	#436	C₂²×C₁₉	1	2	yes	complemented
421	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
422	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
423	#428	C₂²×C₁₉	1	4	yes	complemented
424	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
425	#416	C₂²×C₁₉	1	4	yes	complemented
426	C₂×#102	C₂²×C₁₉	1	4	yes	complemented
427	#408	C₂²×C₁₉	1	2	yes	complemented
428	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
429	C₂×C₁₉	—	4	1	no	—
430	C₂×C₁₉	—	4	4	no	—
431	C₂×C₁₉	—	8	4	no	—
432	C₂×C₁₉	—	8	2	no	—
433	C₂×C₁₉	#3496	1	1	yes	characteristic
434	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
435	C₂×C₁₉	#3584	1	1	yes	characteristic
436	C₂×#41	—	2	2	no	—
437	C₂×#41	—	2	2	no	—
438	C₂×#41	C₂³×C₁₉	1	4	yes	—
439	C₂×#41	C₂³×C₁₉	1	2	yes	—
440	C₂²×D₄	—	2	2	no	—
441	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
442	AGL(1,ℤ/8)	—	4	8	no	—
443	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
444	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
445	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
446	C₂×D₈	C₂³×C₁₉	1	2	yes	—
447	C₂×D₈	C₂³×C₁₉	1	4	yes	—
448	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
449	C₂×D₈	C₂³×C₁₉	1	2	yes	—
450	#131	—	4	4	no	—
451	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
452	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
453	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
455	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
456	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
457	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
458	#127	—	2	2	no	—
459	#127	—	2	4	no	—
460	#127	D₄×C₁₉	1	1	yes	characteristic
461	#127	C₂³×C₁₉	1	2	yes	—
462	#126	—	2	4	no	—
463	#126	—	2	4	no	—
464	#126	—	2	2	no	—
465	#125	C₂³×C₁₉	1	2	yes	—
466	#124	—	2	4	no	—
467	#124	—	2	2	no	—
468	#124	—	2	2	no	—
469	#124	D₄×C₁₉	1	2	yes	—
470	#124	C₂³×C₁₉	1	2	yes	—
471	#123	—	2	2	no	—
472	#123	—	2	4	no	—
473	#123	—	2	4	no	—
474	#123	—	2	4	no	—
475	C₂²⋊Q₈	—	2	4	no	—
476	C₂²⋊Q₈	—	2	2	no	—
477	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
478	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
479	#121	—	2	4	no	—
480	#121	—	2	4	no	—
481	#121	—	2	4	no	—
482	#121	—	2	4	no	—
483	#121	—	2	2	no	—
484	#121	—	2	2	no	—
485	#121	—	2	4	no	—
486	#121	—	2	4	no	—
487	#121	D₄×C₁₉	1	2	yes	—
488	#121	D₄×C₁₉	1	2	yes	—
489	#121	C₂³×C₁₉	1	2	yes	—
490	#121	C₂³×C₁₉	1	4	yes	—
491	#121	C₂³×C₁₉	1	4	yes	—
492	#121	C₂³×C₁₉	1	4	yes	—
493	#121	C₂³×C₁₉	1	4	yes	—
494	#120	—	2	4	no	—
495	#120	—	2	4	no	—
496	#120	—	2	4	no	—
497	#120	—	2	4	no	—
498	C₄×Q₈	—	2	2	no	—
499	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
500	C₄×D₄	—	2	2	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	4	no	—
503	C₄×D₄	—	2	2	no	—
504	C₄×D₄	C₂³×C₁₉	1	2	yes	—
505	C₄×D₄	C₂³×C₁₉	1	4	yes	—
506	C₄×D₄	C₂³×C₁₉	1	2	yes	—
507	C₄×D₄	C₂³×C₁₉	1	2	yes	—
508	#117	—	2	2	no	—
509	#117	C₂³×C₁₉	1	4	yes	—
510	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
511	C₂×C₂²⋊C₄	—	2	4	no	—
512	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
513	#107	C₂³×C₁₉	1	2	yes	—
514	#107	C₂³×C₁₉	1	4	yes	—
515	#107	C₂³×C₁₉	1	1	yes	characteristic
516	#107	C₂³×C₁₉	1	2	yes	—
517	#107	C₂³×C₁₉	1	1	yes	characteristic
518	#106	C₂³×C₁₉	1	2	yes	—
519	#106	C₂³×C₁₉	1	4	yes	—
520	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
521	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
522	#103	C₂³×C₁₉	1	2	yes	—
523	#103	C₂³×C₁₉	1	4	yes	—
524	#103	C₂³×C₁₉	1	2	yes	—
525	#102	C₂³×C₁₉	1	2	yes	—
526	#102	C₂³×C₁₉	1	4	yes	—
527	#102	C₂³×C₁₉	1	4	yes	—
528	#102	C₂³×C₁₉	1	4	yes	—
529	#102	C₂³×C₁₉	1	4	yes	—
530	#102	C₂³×C₁₉	1	4	yes	—
531	#102	C₂³×C₁₉	1	2	yes	—
532	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
533	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
534	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
535	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
536	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
537	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
538	C₁₉	#62340	1	1	yes	characteristic, direct product factor, Sylow
539	C₂⁴	—	2	4	no	—
540	#41	—	4	2	no	—
541	#41	—	4	2	no	—
542	#41	—	4	4	no	—
543	#41	—	4	4	no	—
544	#41	—	8	4	no	—
545	#41	—	8	4	no	—
546	C₂×Q₈	—	2	2	no	—
547	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
548	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	4	no	—
553	C₂×D₄	—	2	4	no	—
554	C₂×D₄	—	2	4	no	—
555	C₂×D₄	—	2	2	no	—
556	C₂×D₄	—	2	2	no	—
557	C₂×D₄	—	2	4	no	—
558	C₂×D₄	—	4	4	no	—
559	C₂×D₄	—	4	4	no	—
560	C₂×D₄	—	8	4	no	—
561	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
562	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
563	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
564	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
565	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
566	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
567	C₂²×C₄	—	2	4	no	—
568	C₂²×C₄	—	2	2	no	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	2	4	no	—
571	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
572	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
573	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
574	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
575	Q₁₆	—	4	1	no	—
576	SD₁₆	—	2	4	no	—
577	SD₁₆	—	4	4	no	—
578	D₈	—	2	4	no	—
579	D₈	—	4	2	no	—
580	D₈	—	4	1	no	—
581	D₈	—	4	4	no	—
582	M₁₆	—	2	8	no	—
583	M₁₆	—	4	2	no	—
584	C₂×C₈	—	2	2	no	—
585	C₂×C₈	—	4	1	no	—
586	C₂×C₈	—	4	4	no	—
587	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
588	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
589	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
590	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
591	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
592	C₄⋊C₄	—	2	4	no	—
593	C₄⋊C₄	—	2	2	no	—
594	C₄⋊C₄	—	2	2	no	—
595	C₄⋊C₄	—	2	2	no	—
596	C₄⋊C₄	—	2	2	no	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
600	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
601	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
602	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
603	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
604	C₂²⋊C₄	—	2	4	no	—
605	C₂²⋊C₄	—	2	4	no	—
606	C₂²⋊C₄	—	2	2	no	—
607	C₂²⋊C₄	—	2	2	no	—
608	C₂²⋊C₄	—	2	4	no	—
609	C₂²⋊C₄	—	2	2	no	—
610	C₂²⋊C₄	—	2	2	no	—
611	C₂²⋊C₄	—	2	4	no	—
612	C₂²⋊C₄	—	2	4	no	—
613	C₂²⋊C₄	—	2	4	no	—
614	C₂²⋊C₄	—	2	2	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
617	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
618	C₄²	—	2	2	no	—
619	C₄²	—	2	4	no	—
620	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
621	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
622	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
623	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
624	C₂³	—	2	2	no	—
625	C₂³	—	2	4	no	—
626	C₂³	—	8	4	no	—
627	C₂³	—	8	4	no	—
628	C₂³	—	8	4	no	—
629	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
630	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
631	Q₈	—	2	2	no	—
632	Q₈	—	2	2	no	—
633	Q₈	—	4	2	no	—
634	Q₈	—	4	4	no	—
635	D₄	—	2	4	no	—
636	D₄	—	2	4	no	—
637	D₄	—	2	2	no	—
638	D₄	—	2	2	no	—
639	D₄	—	2	4	no	—
640	D₄	—	4	4	no	—
641	D₄	—	4	2	no	—
642	D₄	—	4	2	no	—
643	D₄	—	4	4	no	—
644	D₄	—	8	4	no	—
645	D₄	—	8	2	no	—
646	D₄	—	8	4	no	—
647	D₄	—	8	4	no	—
648	D₄	—	8	4	no	—
649	D₄	—	8	4	no	—
650	D₄	—	8	2	no	—
651	D₄	—	8	4	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	4	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	4	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	4	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	4	1	no	—
662	C₂×C₄	—	4	4	no	—
663	C₂×C₄	—	8	4	no	—
664	C₂×C₄	—	8	4	no	—
665	C₂×C₄	—	8	4	no	—
666	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
667	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
668	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
669	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
670	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
671	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
672	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
673	C₈	—	2	1	no	—
674	C₈	—	2	4	no	—
675	C₈	—	2	1	no	—
676	C₈	—	2	1	no	—
677	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
678	C₂²	—	2	1	no	—
679	C₂²	—	2	4	no	—
680	C₂²	—	2	1	no	—
681	C₂²	—	2	4	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	2	4	no	—
684	C₂²	—	4	4	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	2	no	—
687	C₂²	—	4	4	no	—
688	C₂²	—	4	4	no	—
689	C₂²	—	4	2	no	—
690	C₂²	—	16	8	no	—
691	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
692	C₄	—	2	4	no	—
693	C₄	—	2	1	no	—
694	C₄	—	2	1	no	—
695	C₄	—	2	1	no	—
696	C₄	—	2	1	no	—
697	C₄	—	4	2	no	—
698	C₄	—	4	2	no	—
699	C₄	—	4	4	no	—
700	C₄	—	4	2	no	—
701	C₄	C₁₉×#576	1	2	yes	—
702	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
703	C₄	C₁₉×#585	1	1	yes	characteristic
704	C₂	—	4	4	no	—
705	C₂	—	4	1	no	—
706	C₂	—	8	2	no	—
707	C₂	—	8	4	no	—
708	C₂	C₁₉×#3496	1	1	yes	characteristic
709	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
710	C₂	C₁₉×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3546	C₂	semidirect
2. C₁₉×#3355	C₂	semidirect
3. C₁₉×#3353	C₂	semidirect
4. C₁₉×#3304	C₂	semidirect
5. C₁₉×#3297	C₂	semidirect
6. C₁₉×#3294	C₂	semidirect
7. C₁₉×#3274	C₂	semidirect
8. C₁₉×#3273	C₂	semidirect
9. C₁₉×#3251	C₂	semidirect
10. C₁₉×#3203	C₂	semidirect
11. C₁₉×#3199	C₂	semidirect
12. C₁₉×#3169	C₂	semidirect
13. C₁₉×#3168	C₂	semidirect
14. C₁₉×#3062	C₂	semidirect
15. C₁₉×#2931	C₂	semidirect
16. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
17. C₂×C₁₉×#131	C₂²	semidirect
19. C₁₉×#556	C₂²	semidirect
20. C₁₉×#553	C₂²	semidirect
25. C₁₉×#546	C₂²	semidirect
26. D₄²×C₁₉	C₂²	semidirect
29. C₁₉×#537	C₂²	semidirect
31. C₁₉×#535	C₂²	semidirect
33. C₁₉×#532	C₂²	semidirect
34. C₁₉×#529	C₂²	semidirect
35. C₁₉×#500	C₂²	semidirect
36. C₁₉×#499	C₂²	semidirect
39. C₁₉×#488	C₂²	semidirect
40. C₁₉×#486	C₂²	semidirect
41. C₁₉×#484	C₂²	semidirect
42. C₁₉×#482	C₂²	semidirect
43. C₁₉×#482	C₂²	semidirect
44. C₁₉×#480	C₂²	semidirect
45. C₁₉×#478	C₂²	semidirect
46. C₁₉×#475	C₂²	semidirect
47. C₁₉×#474	C₂²	semidirect
48. C₁₉×#469	C₂²	semidirect
49. C₁₉×#469	C₂²	semidirect
50. C₁₉×#468	C₂²	semidirect
51. C₁₉×#468	C₂²	semidirect
52. C₁₉×#467	C₂²	semidirect
55. C₁₉×#466	C₂²	semidirect
56. C₁₉×#466	C₂²	semidirect
57. C₁₉×#465	C₂²	semidirect
58. C₁₉×#465	C₂²	semidirect
59. C₁₉×#463	C₂²	semidirect
60. C₁₉×#460	C₂²	semidirect
62. C₁₉×#452	C₂²	semidirect
63. C₁₉×#449	C₂²	semidirect
65. C₁₉×#447	C₂²	semidirect
66. C₄×Q₁₆×C₁₉	C₂²	semidirect
67. C₄×SD₁₆×C₁₉	C₂²	semidirect
69. C₄×D₈×C₁₉	C₂²	semidirect
70. C₄×D₈×C₁₉	C₂²	semidirect
71. C₁₉×#436	C₂²	semidirect
72. C₁₉×#436	C₂²	semidirect
73. C₈×D₄×C₁₉	C₂²	semidirect
74. C₈×D₄×C₁₉	C₂²	semidirect
75. C₁₉×#428	C₂²	semidirect
76. C₁₉×#423	C₂²	semidirect
77. C₁₉×#416	C₂²	semidirect
78. C₂×C₁₉×#102	C₂²	semidirect
79. C₁₉×#408	C₂²	semidirect
80. C₂×C₄×C₈×C₁₉	C₂²	semidirect
268. #62340	C₁₉	direct (N × H)
323. #3546	C₂×C₁₉	semidirect
324. #3355	C₂×C₁₉	semidirect
325. #3353	C₂×C₁₉	semidirect
326. #3304	C₂×C₁₉	semidirect
327. #3297	C₂×C₁₉	semidirect
328. #3294	C₂×C₁₉	semidirect
329. #3274	C₂×C₁₉	semidirect
330. #3273	C₂×C₁₉	semidirect
331. #3251	C₂×C₁₉	semidirect
332. #3203	C₂×C₁₉	semidirect
333. #3199	C₂×C₁₉	semidirect
334. #3169	C₂×C₁₉	semidirect
335. #3168	C₂×C₁₉	semidirect
336. #3062	C₂×C₁₉	semidirect
337. #2931	C₂×C₁₉	semidirect
364. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
365. C₂×#131	C₂²×C₁₉	semidirect
367. #556	C₂²×C₁₉	semidirect
368. #553	C₂²×C₁₉	semidirect
373. #546	C₂²×C₁₉	semidirect
374. D₄²	C₂²×C₁₉	semidirect
377. #537	C₂²×C₁₉	semidirect
379. #535	C₂²×C₁₉	semidirect
381. #532	C₂²×C₁₉	semidirect
382. #529	C₂²×C₁₉	semidirect
383. #500	C₂²×C₁₉	semidirect
384. #499	C₂²×C₁₉	semidirect
387. #488	C₂²×C₁₉	semidirect
388. #486	C₂²×C₁₉	semidirect
389. #484	C₂²×C₁₉	semidirect
390. #482	C₂²×C₁₉	semidirect
391. #482	C₂²×C₁₉	semidirect
392. #480	C₂²×C₁₉	semidirect
393. #478	C₂²×C₁₉	semidirect
394. #475	C₂²×C₁₉	semidirect
395. #474	C₂²×C₁₉	semidirect
396. #469	C₂²×C₁₉	semidirect
397. #469	C₂²×C₁₉	semidirect
398. #468	C₂²×C₁₉	semidirect
399. #468	C₂²×C₁₉	semidirect
400. #467	C₂²×C₁₉	semidirect
403. #466	C₂²×C₁₉	semidirect
404. #466	C₂²×C₁₉	semidirect
405. #465	C₂²×C₁₉	semidirect
406. #465	C₂²×C₁₉	semidirect
407. #463	C₂²×C₁₉	semidirect
408. #460	C₂²×C₁₉	semidirect
410. #452	C₂²×C₁₉	semidirect
411. #449	C₂²×C₁₉	semidirect
413. #447	C₂²×C₁₉	semidirect
414. C₄×Q₁₆	C₂²×C₁₉	semidirect
415. C₄×SD₁₆	C₂²×C₁₉	semidirect
417. C₄×D₈	C₂²×C₁₉	semidirect
418. C₄×D₈	C₂²×C₁₉	semidirect
419. #436	C₂²×C₁₉	semidirect
420. #436	C₂²×C₁₉	semidirect
421. C₈×D₄	C₂²×C₁₉	semidirect
422. C₈×D₄	C₂²×C₁₉	semidirect
423. #428	C₂²×C₁₉	semidirect
424. #423	C₂²×C₁₉	semidirect
425. #416	C₂²×C₁₉	semidirect
426. C₂×#102	C₂²×C₁₉	semidirect
427. #408	C₂²×C₁₉	semidirect
428. C₂×C₄×C₈	C₂²×C₁₉	semidirect
538. C₁₉	#62340	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#3546	2
C₁₉×#3355	2
C₁₉×#3353	2
C₁₉×#3304	2
C₁₉×#3297	2
C₁₉×#3294	2
C₁₉×#3274	2
C₁₉×#3273	2
C₁₉×#3251	2
C₁₉×#3203	2
C₁₉×#3199	2
C₁₉×#3169	2
C₁₉×#3168	2
C₁₉×#3062	2
C₁₉×#2931	2
#62340	19

Subgroups — C19×#62340 #18068299

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62340 #18068299