Subgroups — C₁₉×#18594 #18024553

Order 4864.

994 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3251	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3184	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3035	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1652	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1651	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1640	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#1639	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1628	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1627	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1620	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1619	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1547	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1489	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1483	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×#135	—	2	1	no	—
17	C₁₉×#559	C₂²	1	1	yes	characteristic
18	C₁₉×#556	C₂²	1	1	yes	characteristic
19	C₁₉×#555	—	2	1	no	—
20	C₁₉×#551	—	2	2	no	—
21	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
22	C₁₉×#548	—	2	1	no	—
23	C₁₉×#546	—	2	1	no	—
24	C₁₉×#546	—	2	1	no	—
25	D₄²×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×#542	—	2	1	no	—
27	C₁₉×#538	—	2	2	no	—
28	C₁₉×#532	C₂²	1	1	yes	characteristic
29	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#529	—	2	1	no	—
31	C₁₉×#529	C₂²	1	1	yes	characteristic
32	C₂×C₁₉×#124	—	2	1	no	—
33	C₁₉×#518	—	2	1	no	—
34	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
35	C₁₉×#498	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#493	C₂²	1	1	yes	characteristic
37	C₁₉×#486	C₂²	1	1	yes	characteristic
38	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#478	—	2	1	no	—
40	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
41	C₁₉×#474	C₂²	1	1	yes	characteristic
42	C₁₉×#469	—	2	2	no	—
43	C₁₉×#469	—	2	1	no	—
44	C₁₉×#468	—	2	1	no	—
45	C₁₉×#464	—	2	1	no	—
46	C₁₉×#463	—	2	1	no	—
47	C₁₉×#463	—	2	1	no	—
48	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#461	C₂²	1	1	yes	characteristic
50	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#459	C₂²	1	1	yes	characteristic
53	C₁₉×#459	C₂²	1	1	yes	characteristic
54	C₁₉×#442	—	2	2	no	—
55	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#416	—	2	1	no	—
58	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
59	C₁₉×#332	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#332	C₂²	1	1	yes	characteristic, complemented
61	C₁₉×#331	C₂²	1	1	yes	characteristic
62	C₁₉×#331	C₂²	1	1	yes	characteristic
63	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
69	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
70	C₁₉×D₄⋊C₈	C₂²	1	1	yes	characteristic
71	C₂×#41×C₁₉	—	2	1	no	—
72	C₂×#41×C₁₉	—	2	1	no	—
73	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
74	C₂²×Q₈×C₁₉	—	2	1	no	—
75	C₂²×D₄×C₁₉	—	2	1	no	—
76	C₂²×D₄×C₁₉	—	2	1	no	—
77	C₁₉×#135	—	4	4	no	—
78	C₂×Q₁₆×C₁₉	—	2	1	no	—
79	C₂×SD₁₆×C₁₉	—	2	1	no	—
80	C₂×SD₁₆×C₁₉	—	2	1	no	—
81	C₂×SD₁₆×C₁₉	—	2	1	no	—
82	C₂×D₈×C₁₉	—	2	2	no	—
83	C₂×D₈×C₁₉	—	2	1	no	—
84	C₂×D₈×C₁₉	—	2	1	no	—
85	C₂×M₁₆×C₁₉	—	2	1	no	—
86	C₂×M₁₆×C₁₉	—	2	1	no	—
87	C₂²×C₈×C₁₉	—	2	1	no	—
88	C₁₉×C₄⋊Q₈	—	2	1	no	—
89	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
90	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
91	C₁₉×#127	C₂³	1	1	yes	characteristic
92	C₁₉×#127	C₂³	1	1	yes	characteristic
93	C₁₉×#126	—	2	2	no	—
94	C₁₉×#126	—	2	2	no	—
95	C₁₉×#126	—	2	1	no	—
96	C₁₉×#125	D₄	1	1	yes	characteristic
97	C₁₉×#124	—	2	2	no	—
98	C₁₉×#124	—	2	2	no	—
99	C₁₉×#124	—	2	2	no	—
100	C₁₉×#124	—	2	1	no	—
101	C₁₉×#124	—	2	1	no	—
102	C₁₉×#124	—	2	1	no	—
103	C₁₉×#124	—	2	1	no	—
104	C₁₉×#124	—	2	1	no	—
105	C₁₉×#124	D₄	1	1	yes	characteristic
106	C₁₉×#123	—	2	2	no	—
107	C₁₉×#123	—	2	2	no	—
108	C₁₉×#123	—	2	2	no	—
109	C₁₉×#123	—	2	1	no	—
110	C₁₉×C₂²⋊Q₈	—	2	2	no	—
111	C₁₉×C₂²⋊Q₈	—	2	1	no	—
112	C₁₉×C₂²⋊Q₈	—	2	1	no	—
113	C₁₉×C₂²⋊Q₈	—	2	2	no	—
114	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
115	C₁₉×#121	—	2	2	no	—
116	C₁₉×#121	—	2	2	no	—
117	C₁₉×#121	—	2	1	no	—
118	C₁₉×#121	—	2	1	no	—
119	C₁₉×#121	—	2	1	no	—
120	C₁₉×#121	—	2	1	no	—
121	C₁₉×#121	—	2	1	no	—
122	C₁₉×#121	D₄	1	1	yes	characteristic
123	C₁₉×#121	D₄	1	2	yes	—
124	C₁₉×#120	—	2	2	no	—
125	C₁₉×#120	—	2	2	no	—
126	C₄×Q₈×C₁₉	—	2	1	no	—
127	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
128	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
129	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
130	C₄×D₄×C₁₉	—	2	2	no	—
131	C₄×D₄×C₁₉	—	2	2	no	—
132	C₄×D₄×C₁₉	—	2	1	no	—
133	C₄×D₄×C₁₉	—	2	1	no	—
134	C₄×D₄×C₁₉	—	2	1	no	—
135	C₄×D₄×C₁₉	—	2	1	no	—
136	C₄×D₄×C₁₉	—	2	1	no	—
137	C₄×D₄×C₁₉	—	2	1	no	—
138	C₄×D₄×C₁₉	—	2	1	no	—
139	C₄×D₄×C₁₉	—	2	1	no	—
140	C₄×D₄×C₁₉	—	2	1	no	—
141	C₄×D₄×C₁₉	D₄	1	2	yes	—
142	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
143	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
144	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
145	C₁₉×#117	—	2	2	no	—
146	C₁₉×#117	—	2	1	no	—
147	C₁₉×#117	—	2	1	no	—
148	C₁₉×#117	—	2	1	no	—
149	C₁₉×#117	D₄	1	1	yes	characteristic
150	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
151	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
152	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
153	C₂×C₄²×C₁₉	—	2	1	no	—
154	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
155	C₁₉×#107	—	2	1	no	—
156	C₁₉×#106	—	2	2	no	—
157	C₁₉×#106	—	2	1	no	—
158	C₁₉×C₄⋊C₈	—	2	1	no	—
159	C₁₉×C₄⋊C₈	—	2	1	no	—
160	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
161	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
162	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
163	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
164	C₁₉×#103	—	2	1	no	—
165	C₁₉×#103	—	2	1	no	—
166	C₁₉×#103	—	2	1	no	—
167	C₁₉×#102	—	2	2	no	—
168	C₁₉×#102	—	2	1	no	—
169	C₁₉×#102	—	2	1	no	—
170	C₁₉×#102	—	2	1	no	—
171	C₁₉×#102	—	2	2	no	—
172	C₁₉×#102	—	2	1	no	—
173	C₁₉×#102	—	2	1	no	—
174	C₁₉×#97	—	2	1	no	—
175	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
176	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
177	C₂⁴×C₁₉	—	2	2	no	—
178	#41×C₁₉	—	2	2	no	—
179	#41×C₁₉	—	4	1	no	—
180	#41×C₁₉	—	4	2	no	—
181	#41×C₁₉	—	4	2	no	—
182	#41×C₁₉	—	8	1	no	—
183	#41×C₁₉	—	8	1	no	—
184	C₂×Q₈×C₁₉	—	2	2	no	—
185	C₂×Q₈×C₁₉	—	2	1	no	—
186	C₂×Q₈×C₁₉	—	2	1	no	—
187	C₂×Q₈×C₁₉	—	8	1	no	—
188	C₂×Q₈×C₁₉	—	8	1	no	—
189	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
190	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
191	C₂×D₄×C₁₉	—	2	2	no	—
192	C₂×D₄×C₁₉	—	2	1	no	—
193	C₂×D₄×C₁₉	—	2	2	no	—
194	C₂×D₄×C₁₉	—	2	1	no	—
195	C₂×D₄×C₁₉	—	2	2	no	—
196	C₂×D₄×C₁₉	—	2	1	no	—
197	C₂×D₄×C₁₉	—	2	1	no	—
198	C₂×D₄×C₁₉	—	2	1	no	—
199	C₂×D₄×C₁₉	—	2	1	no	—
200	C₂×D₄×C₁₉	—	2	1	no	—
201	C₂×D₄×C₁₉	—	4	2	no	—
202	C₂×D₄×C₁₉	—	4	2	no	—
203	C₂×D₄×C₁₉	—	4	1	no	—
204	C₂×D₄×C₁₉	—	8	1	no	—
205	C₂×D₄×C₁₉	—	8	1	no	—
206	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
207	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
208	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
209	C₂²×C₄×C₁₉	—	2	2	no	—
210	C₂²×C₄×C₁₉	—	2	2	no	—
211	C₂²×C₄×C₁₉	—	2	1	no	—
212	C₂²×C₄×C₁₉	—	2	1	no	—
213	C₂²×C₄×C₁₉	—	2	1	no	—
214	C₂²×C₄×C₁₉	—	2	1	no	—
215	C₂²×C₄×C₁₉	—	2	2	no	—
216	C₂²×C₄×C₁₉	—	4	1	no	—
217	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
218	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
219	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
220	Q₁₆×C₁₉	—	4	2	no	—
221	SD₁₆×C₁₉	—	4	2	no	—
222	SD₁₆×C₁₉	—	4	2	no	—
223	SD₁₆×C₁₉	—	8	1	no	—
224	D₈×C₁₉	—	4	4	no	—
225	D₈×C₁₉	—	4	2	no	—
226	D₈×C₁₉	—	8	1	no	—
227	M₁₆×C₁₉	—	4	2	no	—
228	M₁₆×C₁₉	—	8	1	no	—
229	C₂×C₈×C₁₉	—	2	1	no	—
230	C₂×C₈×C₁₉	—	2	1	no	—
231	C₂×C₈×C₁₉	—	2	1	no	—
232	C₂×C₈×C₁₉	—	2	1	no	—
233	C₂×C₈×C₁₉	—	2	1	no	—
234	C₂×C₈×C₁₉	—	2	1	no	—
235	C₂×C₈×C₁₉	—	4	2	no	—
236	C₄⋊C₄×C₁₉	—	2	2	no	—
237	C₄⋊C₄×C₁₉	—	2	2	no	—
238	C₄⋊C₄×C₁₉	—	2	1	no	—
239	C₄⋊C₄×C₁₉	—	2	1	no	—
240	C₄⋊C₄×C₁₉	—	2	1	no	—
241	C₄⋊C₄×C₁₉	—	2	1	no	—
242	C₄⋊C₄×C₁₉	—	2	1	no	—
243	C₄⋊C₄×C₁₉	—	2	1	no	—
244	C₄⋊C₄×C₁₉	—	2	1	no	—
245	C₄⋊C₄×C₁₉	—	2	1	no	—
246	C₄⋊C₄×C₁₉	—	2	1	no	—
247	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
248	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
249	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
250	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
251	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
252	C₂²⋊C₄×C₁₉	—	2	2	no	—
253	C₂²⋊C₄×C₁₉	—	2	2	no	—
254	C₂²⋊C₄×C₁₉	—	2	2	no	—
255	C₂²⋊C₄×C₁₉	—	2	2	no	—
256	C₂²⋊C₄×C₁₉	—	2	2	no	—
257	C₂²⋊C₄×C₁₉	—	2	2	no	—
258	C₂²⋊C₄×C₁₉	—	2	2	no	—
259	C₂²⋊C₄×C₁₉	—	2	1	no	—
260	C₂²⋊C₄×C₁₉	—	2	1	no	—
261	C₂²⋊C₄×C₁₉	—	2	1	no	—
262	C₂²⋊C₄×C₁₉	—	2	1	no	—
263	C₂²⋊C₄×C₁₉	—	2	1	no	—
264	C₂²⋊C₄×C₁₉	—	2	1	no	—
265	C₂²⋊C₄×C₁₉	—	2	2	no	—
266	C₂²⋊C₄×C₁₉	—	2	2	no	—
267	C₂²⋊C₄×C₁₉	—	2	1	no	—
268	C₂²⋊C₄×C₁₉	—	2	1	no	—
269	C₂²⋊C₄×C₁₉	—	4	1	no	—
270	C₂²⋊C₄×C₁₉	—	4	1	no	—
271	C₄²×C₁₉	—	2	2	no	—
272	C₄²×C₁₉	—	2	1	no	—
273	C₄²×C₁₉	—	2	1	no	—
274	C₄²×C₁₉	—	2	1	no	—
275	C₄²×C₁₉	—	2	1	no	—
276	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
277	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
278	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
279	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
280	#18594	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂³×C₁₉	—	2	1	no	—
282	C₂³×C₁₉	—	2	1	no	—
283	C₂³×C₁₉	—	2	2	no	—
284	C₂³×C₁₉	—	4	4	no	—
285	C₂³×C₁₉	—	4	1	no	—
286	C₂³×C₁₉	—	8	2	no	—
287	C₂³×C₁₉	—	8	2	no	—
288	C₂³×C₁₉	#120	1	1	yes	characteristic
289	Q₈×C₁₉	—	2	1	no	—
290	Q₈×C₁₉	—	2	1	no	—
291	Q₈×C₁₉	—	2	1	no	—
292	Q₈×C₁₉	—	2	1	no	—
293	Q₈×C₁₉	—	4	1	no	—
294	Q₈×C₁₉	—	4	1	no	—
295	Q₈×C₁₉	—	4	1	no	—
296	Q₈×C₁₉	—	4	1	no	—
297	Q₈×C₁₉	—	8	2	no	—
298	D₄×C₁₉	—	2	1	no	—
299	D₄×C₁₉	—	2	1	no	—
300	D₄×C₁₉	—	2	1	no	—
301	D₄×C₁₉	—	4	2	no	—
302	D₄×C₁₉	—	4	2	no	—
303	D₄×C₁₉	—	4	2	no	—
304	D₄×C₁₉	—	4	4	no	—
305	D₄×C₁₉	—	4	1	no	—
306	D₄×C₁₉	—	4	1	no	—
307	D₄×C₁₉	—	4	1	no	—
308	D₄×C₁₉	—	4	1	no	—
309	D₄×C₁₉	—	4	1	no	—
310	D₄×C₁₉	—	4	1	no	—
311	D₄×C₁₉	—	4	1	no	—
312	D₄×C₁₉	—	4	1	no	—
313	D₄×C₁₉	—	8	1	no	—
314	D₄×C₁₉	—	8	2	no	—
315	D₄×C₁₉	—	8	2	no	—
316	D₄×C₁₉	—	8	2	no	—
317	D₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
318	C₂×C₄×C₁₉	—	2	1	no	—
319	C₂×C₄×C₁₉	—	2	1	no	—
320	C₂×C₄×C₁₉	—	2	1	no	—
321	C₂×C₄×C₁₉	—	2	1	no	—
322	C₂×C₄×C₁₉	—	2	1	no	—
323	C₂×C₄×C₁₉	—	2	1	no	—
324	C₂×C₄×C₁₉	—	2	1	no	—
325	C₂×C₄×C₁₉	—	2	1	no	—
326	C₂×C₄×C₁₉	—	2	1	no	—
327	C₂×C₄×C₁₉	—	2	1	no	—
328	C₂×C₄×C₁₉	—	2	2	no	—
329	C₂×C₄×C₁₉	—	4	1	no	—
330	C₂×C₄×C₁₉	—	4	2	no	—
331	C₂×C₄×C₁₉	—	4	1	no	—
332	C₂×C₄×C₁₉	—	4	1	no	—
333	C₂×C₄×C₁₉	—	4	1	no	—
334	C₂×C₄×C₁₉	—	4	1	no	—
335	C₂×C₄×C₁₉	—	4	1	no	—
336	C₂×C₄×C₁₉	—	8	1	no	—
337	C₂×C₄×C₁₉	—	8	2	no	—
338	C₂×C₄×C₁₉	—	8	2	no	—
339	C₂×C₄×C₁₉	—	8	2	no	—
340	C₂×C₄×C₁₉	—	8	2	no	—
341	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
342	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
343	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
344	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
345	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
346	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
347	C₈×C₁₉	—	2	2	no	—
348	C₈×C₁₉	—	4	1	no	—
349	C₈×C₁₉	—	4	1	no	—
350	C₈×C₁₉	—	4	1	no	—
351	C₈×C₁₉	—	4	1	no	—
352	C₈×C₁₉	—	4	1	no	—
353	#3514	C₂×C₁₉	1	1	yes	characteristic, complemented
354	#3251	C₂×C₁₉	1	1	yes	characteristic, complemented
355	#3184	C₂×C₁₉	1	1	yes	characteristic, complemented
356	#3035	C₂×C₁₉	1	1	yes	characteristic, complemented
357	#1652	C₂×C₁₉	1	1	yes	characteristic, complemented
358	#1651	C₂×C₁₉	1	1	yes	characteristic, complemented
359	#1640	C₂×C₁₉	1	1	yes	characteristic, complemented
360	#1639	C₂×C₁₉	1	1	yes	characteristic, complemented
361	#1628	C₂×C₁₉	1	1	yes	characteristic, complemented
362	#1627	C₂×C₁₉	1	1	yes	characteristic, complemented
363	#1620	C₂×C₁₉	1	1	yes	characteristic, complemented
364	#1619	C₂×C₁₉	1	1	yes	characteristic, complemented
365	#1547	C₂×C₁₉	1	1	yes	characteristic, complemented
366	#1489	C₂×C₁₉	1	1	yes	characteristic, complemented
367	#1483	C₂×C₁₉	1	1	yes	characteristic, complemented
368	C₂²×C₁₉	—	2	1	no	—
369	C₂²×C₁₉	—	2	2	no	—
370	C₂²×C₁₉	—	2	1	no	—
371	C₂²×C₁₉	—	2	1	no	—
372	C₂²×C₁₉	—	4	1	no	—
373	C₂²×C₁₉	—	4	1	no	—
374	C₂²×C₁₉	—	4	1	no	—
375	C₂²×C₁₉	—	4	2	no	—
376	C₂²×C₁₉	—	4	2	no	—
377	C₂²×C₁₉	—	4	1	no	—
378	C₂²×C₁₉	—	4	2	no	—
379	C₂²×C₁₉	—	4	1	no	—
380	C₂²×C₁₉	—	8	1	no	—
381	C₂²×C₁₉	—	8	1	no	—
382	C₂²×C₁₉	—	8	1	no	—
383	C₂²×C₁₉	—	16	4	no	—
384	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
385	C₄×C₁₉	—	2	1	no	—
386	C₄×C₁₉	—	2	1	no	—
387	C₄×C₁₉	—	2	1	no	—
388	C₄×C₁₉	—	2	1	no	—
389	C₄×C₁₉	—	4	1	no	—
390	C₄×C₁₉	—	4	1	no	—
391	C₄×C₁₉	—	4	1	no	—
392	C₄×C₁₉	—	4	2	no	—
393	C₄×C₁₉	—	4	1	no	—
394	C₄×C₁₉	—	4	1	no	—
395	C₄×C₁₉	—	4	1	no	—
396	C₄×C₁₉	—	8	1	no	—
397	C₄×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
398	C₄×C₁₉	#575	1	1	yes	characteristic
399	C₄×C₁₉	#576	1	1	yes	characteristic
400	C₄×C₁₉	#577	1	1	yes	characteristic
401	C₂×#135	—	2	1	no	—
402	#559	C₂²×C₁₉	1	1	yes	characteristic
403	#556	C₂²×C₁₉	1	1	yes	characteristic
404	#555	—	2	1	no	—
405	#551	—	2	2	no	—
406	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
407	#548	—	2	1	no	—
408	#546	—	2	1	no	—
409	#546	—	2	1	no	—
410	D₄²	C₂²×C₁₉	1	1	yes	characteristic
411	#542	—	2	1	no	—
412	#538	—	2	2	no	—
413	#532	C₂²×C₁₉	1	1	yes	characteristic
414	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
415	#529	—	2	1	no	—
416	#529	C₂²×C₁₉	1	1	yes	characteristic
417	C₂×#124	—	2	1	no	—
418	#518	—	2	1	no	—
419	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
420	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
421	#493	C₂²×C₁₉	1	1	yes	characteristic
422	#486	C₂²×C₁₉	1	1	yes	characteristic
423	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
424	#478	—	2	1	no	—
425	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
426	#474	C₂²×C₁₉	1	1	yes	characteristic
427	#469	—	2	2	no	—
428	#469	—	2	1	no	—
429	#468	—	2	1	no	—
430	#464	—	2	1	no	—
431	#463	—	2	1	no	—
432	#463	—	2	1	no	—
433	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
434	#461	C₂²×C₁₉	1	1	yes	characteristic
435	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
436	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
437	#459	C₂²×C₁₉	1	1	yes	characteristic
438	#459	C₂²×C₁₉	1	1	yes	characteristic
439	#442	—	2	2	no	—
440	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
441	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
442	#416	—	2	1	no	—
443	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
444	#332	C₂²×C₁₉	1	1	yes	characteristic, complemented
445	#332	C₂²×C₁₉	1	1	yes	characteristic, complemented
446	#331	C₂²×C₁₉	1	1	yes	characteristic
447	#331	C₂²×C₁₉	1	1	yes	characteristic
448	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
449	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
450	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
451	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
452	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
453	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
454	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
455	D₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
456	C₂×C₁₉	—	4	1	no	—
457	C₂×C₁₉	—	4	2	no	—
458	C₂×C₁₉	—	8	2	no	—
459	C₂×C₁₉	—	8	1	no	—
460	C₂×C₁₉	—	16	1	no	—
461	C₂×C₁₉	#3006	1	1	yes	characteristic
462	C₂×C₁₉	#3012	1	1	yes	characteristic
463	C₂×C₁₉	#3018	1	1	yes	characteristic
464	C₂×#41	—	2	1	no	—
465	C₂×#41	—	2	1	no	—
466	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
467	C₂²×Q₈	—	2	1	no	—
468	C₂²×D₄	—	2	1	no	—
469	C₂²×D₄	—	2	1	no	—
470	#135	—	4	4	no	—
471	C₂×Q₁₆	—	2	1	no	—
472	C₂×SD₁₆	—	2	1	no	—
473	C₂×SD₁₆	—	2	1	no	—
474	C₂×SD₁₆	—	2	1	no	—
475	C₂×D₈	—	2	1	no	—
476	C₂×D₈	—	2	2	no	—
477	C₂×D₈	—	2	1	no	—
478	C₂×M₁₆	—	2	1	no	—
479	C₂×M₁₆	—	2	1	no	—
480	C₂²×C₈	—	2	1	no	—
481	C₄⋊Q₈	—	2	1	no	—
482	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
483	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
484	#127	C₂³×C₁₉	1	1	yes	characteristic
485	#127	C₂³×C₁₉	1	1	yes	characteristic
486	#126	—	2	2	no	—
487	#126	—	2	2	no	—
488	#126	—	2	1	no	—
489	#125	D₄×C₁₉	1	1	yes	characteristic
490	#124	—	2	2	no	—
491	#124	—	2	2	no	—
492	#124	—	2	2	no	—
493	#124	—	2	1	no	—
494	#124	—	2	1	no	—
495	#124	—	2	1	no	—
496	#124	—	2	1	no	—
497	#124	—	2	1	no	—
498	#124	D₄×C₁₉	1	1	yes	characteristic
499	#123	—	2	2	no	—
500	#123	—	2	2	no	—
501	#123	—	2	2	no	—
502	#123	—	2	1	no	—
503	C₂²⋊Q₈	—	2	2	no	—
504	C₂²⋊Q₈	—	2	1	no	—
505	C₂²⋊Q₈	—	2	1	no	—
506	C₂²⋊Q₈	—	2	2	no	—
507	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
508	#121	—	2	2	no	—
509	#121	—	2	2	no	—
510	#121	—	2	1	no	—
511	#121	—	2	1	no	—
512	#121	—	2	1	no	—
513	#121	—	2	1	no	—
514	#121	—	2	1	no	—
515	#121	D₄×C₁₉	1	1	yes	characteristic
516	#121	D₄×C₁₉	1	2	yes	—
517	#120	—	2	2	no	—
518	#120	—	2	2	no	—
519	C₄×Q₈	—	2	1	no	—
520	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
521	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
522	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
523	C₄×D₄	—	2	2	no	—
524	C₄×D₄	—	2	2	no	—
525	C₄×D₄	—	2	1	no	—
526	C₄×D₄	—	2	1	no	—
527	C₄×D₄	—	2	1	no	—
528	C₄×D₄	—	2	1	no	—
529	C₄×D₄	—	2	1	no	—
530	C₄×D₄	—	2	1	no	—
531	C₄×D₄	—	2	1	no	—
532	C₄×D₄	—	2	1	no	—
533	C₄×D₄	—	2	1	no	—
534	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
535	C₄×D₄	D₄×C₁₉	1	2	yes	—
536	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
537	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
538	#117	—	2	2	no	—
539	#117	—	2	1	no	—
540	#117	—	2	1	no	—
541	#117	—	2	1	no	—
542	#117	D₄×C₁₉	1	1	yes	characteristic
543	C₂×C₂²⋊C₄	—	2	2	no	—
544	C₂×C₂²⋊C₄	—	2	2	no	—
545	C₂×C₂²⋊C₄	—	2	2	no	—
546	C₂×C₄²	—	2	1	no	—
547	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
548	#107	—	2	1	no	—
549	#106	—	2	2	no	—
550	#106	—	2	1	no	—
551	C₄⋊C₈	—	2	1	no	—
552	C₄⋊C₈	—	2	1	no	—
553	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
554	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
555	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
556	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
557	#103	—	2	1	no	—
558	#103	—	2	1	no	—
559	#103	—	2	1	no	—
560	#102	—	2	2	no	—
561	#102	—	2	1	no	—
562	#102	—	2	1	no	—
563	#102	—	2	1	no	—
564	#102	—	2	2	no	—
565	#102	—	2	1	no	—
566	#102	—	2	1	no	—
567	#97	—	2	1	no	—
568	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
569	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
570	C₁₉	#18594	1	1	yes	characteristic, direct product factor, Sylow
571	C₂⁴	—	2	2	no	—
572	#41	—	2	2	no	—
573	#41	—	4	1	no	—
574	#41	—	4	2	no	—
575	#41	—	4	2	no	—
576	#41	—	8	1	no	—
577	#41	—	8	1	no	—
578	C₂×Q₈	—	2	2	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	—	8	1	no	—
582	C₂×Q₈	—	8	1	no	—
583	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
584	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
585	C₂×D₄	—	2	2	no	—
586	C₂×D₄	—	2	1	no	—
587	C₂×D₄	—	2	2	no	—
588	C₂×D₄	—	2	1	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	1	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	4	2	no	—
596	C₂×D₄	—	4	2	no	—
597	C₂×D₄	—	4	1	no	—
598	C₂×D₄	—	8	1	no	—
599	C₂×D₄	—	8	1	no	—
600	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
601	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
602	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
603	C₂²×C₄	—	2	2	no	—
604	C₂²×C₄	—	2	2	no	—
605	C₂²×C₄	—	2	1	no	—
606	C₂²×C₄	—	2	1	no	—
607	C₂²×C₄	—	2	1	no	—
608	C₂²×C₄	—	2	1	no	—
609	C₂²×C₄	—	2	2	no	—
610	C₂²×C₄	—	4	1	no	—
611	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
612	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
613	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
614	Q₁₆	—	4	2	no	—
615	SD₁₆	—	4	2	no	—
616	SD₁₆	—	4	2	no	—
617	SD₁₆	—	8	1	no	—
618	D₈	—	4	4	no	—
619	D₈	—	4	2	no	—
620	D₈	—	8	1	no	—
621	M₁₆	—	4	2	no	—
622	M₁₆	—	8	1	no	—
623	C₂×C₈	—	2	1	no	—
624	C₂×C₈	—	2	1	no	—
625	C₂×C₈	—	2	1	no	—
626	C₂×C₈	—	2	1	no	—
627	C₂×C₈	—	2	1	no	—
628	C₂×C₈	—	2	1	no	—
629	C₂×C₈	—	4	2	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	2	no	—
632	C₄⋊C₄	—	2	1	no	—
633	C₄⋊C₄	—	2	1	no	—
634	C₄⋊C₄	—	2	1	no	—
635	C₄⋊C₄	—	2	1	no	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	1	no	—
638	C₄⋊C₄	—	2	1	no	—
639	C₄⋊C₄	—	2	1	no	—
640	C₄⋊C₄	—	2	1	no	—
641	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
642	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
643	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
644	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
645	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
646	C₂²⋊C₄	—	2	2	no	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	2	no	—
651	C₂²⋊C₄	—	2	2	no	—
652	C₂²⋊C₄	—	2	2	no	—
653	C₂²⋊C₄	—	2	1	no	—
654	C₂²⋊C₄	—	2	1	no	—
655	C₂²⋊C₄	—	2	1	no	—
656	C₂²⋊C₄	—	2	1	no	—
657	C₂²⋊C₄	—	2	1	no	—
658	C₂²⋊C₄	—	2	1	no	—
659	C₂²⋊C₄	—	2	2	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	1	no	—
662	C₂²⋊C₄	—	2	1	no	—
663	C₂²⋊C₄	—	4	1	no	—
664	C₂²⋊C₄	—	4	1	no	—
665	C₄²	—	2	2	no	—
666	C₄²	—	2	1	no	—
667	C₄²	—	2	1	no	—
668	C₄²	—	2	1	no	—
669	C₄²	—	2	1	no	—
670	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
671	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
672	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
673	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
674	C₂³	—	2	1	no	—
675	C₂³	—	2	1	no	—
676	C₂³	—	2	2	no	—
677	C₂³	—	4	4	no	—
678	C₂³	—	4	1	no	—
679	C₂³	—	8	2	no	—
680	C₂³	—	8	2	no	—
681	C₂³	C₁₉×#120	1	1	yes	characteristic
682	Q₈	—	2	1	no	—
683	Q₈	—	2	1	no	—
684	Q₈	—	2	1	no	—
685	Q₈	—	2	1	no	—
686	Q₈	—	4	1	no	—
687	Q₈	—	4	1	no	—
688	Q₈	—	4	1	no	—
689	Q₈	—	4	1	no	—
690	Q₈	—	8	2	no	—
691	D₄	—	2	1	no	—
692	D₄	—	2	1	no	—
693	D₄	—	2	1	no	—
694	D₄	—	4	2	no	—
695	D₄	—	4	2	no	—
696	D₄	—	4	2	no	—
697	D₄	—	4	4	no	—
698	D₄	—	4	1	no	—
699	D₄	—	4	1	no	—
700	D₄	—	4	1	no	—
701	D₄	—	4	1	no	—
702	D₄	—	4	1	no	—
703	D₄	—	4	1	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	1	no	—
706	D₄	—	8	2	no	—
707	D₄	—	8	1	no	—
708	D₄	—	8	2	no	—
709	D₄	—	8	2	no	—
710	D₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	2	no	—
722	C₂×C₄	—	4	1	no	—
723	C₂×C₄	—	4	2	no	—
724	C₂×C₄	—	4	1	no	—
725	C₂×C₄	—	4	1	no	—
726	C₂×C₄	—	4	1	no	—
727	C₂×C₄	—	4	1	no	—
728	C₂×C₄	—	4	1	no	—
729	C₂×C₄	—	8	2	no	—
730	C₂×C₄	—	8	1	no	—
731	C₂×C₄	—	8	2	no	—
732	C₂×C₄	—	8	2	no	—
733	C₂×C₄	—	8	2	no	—
734	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
735	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
736	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
737	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
738	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
739	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
740	C₈	—	2	2	no	—
741	C₈	—	4	1	no	—
742	C₈	—	4	1	no	—
743	C₈	—	4	1	no	—
744	C₈	—	4	1	no	—
745	C₈	—	4	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	2	1	no	—
750	C₂²	—	4	1	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	4	1	no	—
753	C₂²	—	4	2	no	—
754	C₂²	—	4	2	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	2	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	8	1	no	—
759	C₂²	—	8	1	no	—
760	C₂²	—	8	1	no	—
761	C₂²	—	16	4	no	—
762	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
763	C₄	—	2	1	no	—
764	C₄	—	2	1	no	—
765	C₄	—	2	1	no	—
766	C₄	—	2	1	no	—
767	C₄	—	4	1	no	—
768	C₄	—	4	1	no	—
769	C₄	—	4	1	no	—
770	C₄	—	4	2	no	—
771	C₄	—	4	1	no	—
772	C₄	—	4	1	no	—
773	C₄	—	4	1	no	—
774	C₄	—	8	1	no	—
775	C₄	C₂×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
776	C₄	C₁₉×#575	1	1	yes	characteristic
777	C₄	C₁₉×#576	1	1	yes	characteristic
778	C₄	C₁₉×#577	1	1	yes	characteristic
779	C₂	—	4	1	no	—
780	C₂	—	4	2	no	—
781	C₂	—	8	1	no	—
782	C₂	—	8	2	no	—
783	C₂	—	16	1	no	—
784	C₂	C₁₉×#3006	1	1	yes	characteristic
785	C₂	C₁₉×#3012	1	1	yes	characteristic
786	C₂	C₁₉×#3018	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3514	C₂	semidirect
2. C₁₉×#3251	C₂	semidirect
3. C₁₉×#3184	C₂	semidirect
4. C₁₉×#3035	C₂	semidirect
5. C₁₉×#1652	C₂	semidirect
6. C₁₉×#1651	C₂	semidirect
7. C₁₉×#1640	C₂	semidirect
8. C₁₉×#1639	C₂	semidirect
9. C₁₉×#1628	C₂	semidirect
10. C₁₉×#1627	C₂	semidirect
11. C₁₉×#1620	C₂	semidirect
12. C₁₉×#1619	C₂	semidirect
13. C₁₉×#1547	C₂	semidirect
14. C₁₉×#1489	C₂	semidirect
15. C₁₉×#1483	C₂	semidirect
29. C₁₉×#532	C₂²	semidirect
35. C₁₉×#498	C₂²	semidirect
38. C₁₉×#486	C₂²	semidirect
40. C₁₉×#475	C₂²	semidirect
48. C₁₉×#462	C₂²	semidirect
50. C₁₉×#460	C₂²	semidirect
51. C₁₉×#460	C₂²	semidirect
55. C₁₉×#423	C₂²	semidirect
56. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
58. C₄×M₁₆×C₁₉	C₂²	semidirect
59. C₁₉×#332	C₂²	semidirect
60. C₁₉×#332	C₂²	semidirect
63. C₁₉×Q₈⋊C₈	C₂²	semidirect
64. C₁₉×Q₈⋊C₈	C₂²	semidirect
65. C₁₉×Q₈⋊C₈	C₂²	semidirect
66. C₁₉×Q₈⋊C₈	C₂²	semidirect
280. #18594	C₁₉	direct (N × H)
353. #3514	C₂×C₁₉	semidirect
354. #3251	C₂×C₁₉	semidirect
355. #3184	C₂×C₁₉	semidirect
356. #3035	C₂×C₁₉	semidirect
357. #1652	C₂×C₁₉	semidirect
358. #1651	C₂×C₁₉	semidirect
359. #1640	C₂×C₁₉	semidirect
360. #1639	C₂×C₁₉	semidirect
361. #1628	C₂×C₁₉	semidirect
362. #1627	C₂×C₁₉	semidirect
363. #1620	C₂×C₁₉	semidirect
364. #1619	C₂×C₁₉	semidirect
365. #1547	C₂×C₁₉	semidirect
366. #1489	C₂×C₁₉	semidirect
367. #1483	C₂×C₁₉	semidirect
414. #532	C₂²×C₁₉	semidirect
420. #498	C₂²×C₁₉	semidirect
423. #486	C₂²×C₁₉	semidirect
425. #475	C₂²×C₁₉	semidirect
433. #462	C₂²×C₁₉	semidirect
435. #460	C₂²×C₁₉	semidirect
436. #460	C₂²×C₁₉	semidirect
440. #423	C₂²×C₁₉	semidirect
441. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
443. C₄×M₁₆	C₂²×C₁₉	semidirect
444. #332	C₂²×C₁₉	semidirect
445. #332	C₂²×C₁₉	semidirect
448. Q₈⋊C₈	C₂²×C₁₉	semidirect
449. Q₈⋊C₈	C₂²×C₁₉	semidirect
450. Q₈⋊C₈	C₂²×C₁₉	semidirect
451. Q₈⋊C₈	C₂²×C₁₉	semidirect
570. C₁₉	#18594	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×#3514	2
C₁₉×#3251	2
C₁₉×#3184	2
C₁₉×#3035	2
C₁₉×#1652	2
C₁₉×#1651	2
C₁₉×#1640	2
C₁₉×#1639	2
C₁₉×#1628	2
C₁₉×#1627	2
C₁₉×#1620	2
C₁₉×#1619	2
C₁₉×#1547	2
C₁₉×#1489	2
C₁₉×#1483	2
#18594	19

Subgroups — C19×#18594 #18024553

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#18594 #18024553