Subgroups — C₁₉×#62264 #18068223

Order 4864.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3520	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3353	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3352	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3330	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3328	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3327	C₂	1	4	yes	maximal, complemented
7	C₁₉×#3277	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3276	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3248	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3191	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3189	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3170	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3168	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3056	C₂	1	4	yes	maximal, complemented
15	C₂×C₁₉×#436	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×#137	C₂²	1	4	yes	complemented
17	C₂²×M₁₆×C₁₉	C₂²	1	2	yes	—
18	C₁₉×#556	C₂²	1	2	yes	—
19	C₁₉×#554	—	2	2	no	—
20	C₁₉×#552	C₂²	1	4	yes	—
21	C₁₉×#551	—	2	4	no	—
22	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
23	C₁₉×#548	C₂²	1	4	yes	—
24	C₁₉×#547	C₂²	1	2	yes	—
25	C₁₉×#547	C₂²	1	2	yes	—
26	C₁₉×#546	—	2	2	no	—
27	C₁₉×#542	—	2	2	no	—
28	C₁₉×#539	—	2	4	no	—
29	C₁₉×#533	C₂²	1	2	yes	—
30	C₁₉×#529	C₂²	1	2	yes	—
31	C₁₉×#525	C₂²	1	4	yes	—
32	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	—
33	C₁₉×#520	—	2	2	no	—
34	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
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, complemented
38	C₁₉×#494	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#488	C₂²	1	2	yes	complemented
40	C₁₉×#487	C₂²	1	2	yes	complemented
41	C₁₉×#485	C₂²	1	4	yes	complemented
42	C₁₉×#484	C₂²	1	4	yes	complemented
43	C₁₉×#484	C₂²	1	4	yes	complemented
44	C₁₉×#482	C₂²	1	4	yes	complemented
45	C₁₉×#479	C₂²	1	4	yes	complemented
46	C₁₉×#475	C₂²	1	2	yes	complemented
47	C₁₉×#474	C₂²	1	2	yes	complemented
48	C₁₉×#470	C₂²	1	4	yes	complemented
49	C₁₉×#470	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
53	C₁₉×#467	C₂²	1	2	yes	—
54	C₁₉×#467	C₂²	1	2	yes	—
55	C₁₉×#467	C₂²	1	4	yes	—
56	C₁₉×#466	C₂²	1	1	yes	characteristic
57	C₁₉×#465	C₂²	1	2	yes	—
58	C₁₉×#465	C₂²	1	4	yes	—
59	C₁₉×#464	C₂²	1	4	yes	complemented
60	C₁₉×#462	C₂²	1	2	yes	complemented
61	C₁₉×#461	C₂²	1	2	yes	complemented
62	C₁₉×#452	C₂²	1	4	yes	complemented
63	C₁₉×#451	C₂²	1	4	yes	complemented
64	C₁₉×#451	C₂²	1	4	yes	complemented
65	C₁₉×#449	C₂²	1	4	yes	complemented
66	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
67	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	complemented
68	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	complemented
69	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
70	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
71	C₁₉×#436	C₂²	1	2	yes	—
72	C₁₉×#436	C₂²	1	2	yes	—
73	C₁₉×#436	C₂²	1	2	yes	—
74	C₁₉×#436	C₂²	1	2	yes	—
75	C₁₉×#428	C₂²	1	4	yes	complemented
76	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
77	C₁₉×#419	C₂²	1	4	yes	complemented
78	C₁₉×#417	C₂²	1	4	yes	complemented
79	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
80	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
81	C₂×#41×C₁₉	—	2	2	no	—
82	C₂×#41×C₁₉	C₂³	1	4	yes	—
83	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
84	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
85	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
86	C₁₉×#137	—	4	8	no	—
87	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
88	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
90	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	—
91	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
92	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
93	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
94	C₂×M₁₆×C₁₉	—	4	4	no	—
95	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
96	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
97	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
98	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
99	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
100	C₁₉×C₄⋊Q₈	—	2	2	no	—
101	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
102	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
103	C₁₉×#126	—	2	4	no	—
104	C₁₉×#126	—	2	4	no	—
105	C₁₉×#126	—	2	2	no	—
106	C₁₉×#125	—	2	4	no	—
107	C₁₉×#125	—	2	2	no	—
108	C₁₉×#125	C₂³	1	2	yes	—
109	C₁₉×#124	—	2	2	no	—
110	C₁₉×#124	—	2	4	no	—
111	C₁₉×#124	C₂³	1	2	yes	—
112	C₁₉×#123	—	2	4	no	—
113	C₁₉×#123	—	2	4	no	—
114	C₁₉×#123	—	2	2	no	—
115	C₁₉×#123	—	2	4	no	—
116	C₁₉×#123	—	2	4	no	—
117	C₁₉×C₂²⋊Q₈	—	2	4	no	—
118	C₁₉×C₂²⋊Q₈	—	2	4	no	—
119	C₁₉×C₂²⋊Q₈	—	2	2	no	—
120	C₁₉×C₂²⋊Q₈	—	2	4	no	—
121	C₁₉×C₂²⋊Q₈	—	2	2	no	—
122	C₁₉×C₂²⋊Q₈	—	2	4	no	—
123	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
124	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
125	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
126	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
127	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
128	C₁₉×#121	—	2	4	no	—
129	C₁₉×#121	—	2	2	no	—
130	C₁₉×#121	C₂³	1	4	yes	—
131	C₁₉×#121	C₂³	1	2	yes	—
132	C₁₉×#120	—	2	4	no	—
133	C₄×Q₈×C₁₉	—	2	2	no	—
134	C₄×Q₈×C₁₉	—	2	2	no	—
135	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
136	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
137	C₄×D₄×C₁₉	—	2	2	no	—
138	C₄×D₄×C₁₉	—	2	4	no	—
139	C₄×D₄×C₁₉	—	2	4	no	—
140	C₄×D₄×C₁₉	—	2	2	no	—
141	C₄×D₄×C₁₉	—	2	4	no	—
142	C₄×D₄×C₁₉	D₄	1	2	yes	—
143	C₄×D₄×C₁₉	D₄	1	2	yes	—
144	C₄×D₄×C₁₉	C₂³	1	2	yes	—
145	C₄×D₄×C₁₉	C₂³	1	2	yes	—
146	C₄×D₄×C₁₉	C₂³	1	2	yes	—
147	C₁₉×#117	—	2	2	no	—
148	C₁₉×#117	—	2	4	no	—
149	C₁₉×#117	—	2	2	no	—
150	C₁₉×#117	C₂³	1	4	yes	—
151	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
152	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
153	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
154	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
155	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
156	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
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	1	yes	characteristic
162	C₁₉×#107	C₂³	1	2	yes	—
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	4	yes	—
168	C₁₉×#103	C₂³	1	4	yes	—
169	C₁₉×#103	C₂³	1	2	yes	—
170	C₁₉×#103	C₂³	1	4	yes	—
171	C₁₉×#103	C₂³	1	4	yes	—
172	C₁₉×#103	C₂³	1	2	yes	—
173	C₁₉×#103	C₂³	1	4	yes	—
174	C₁₉×#102	C₂³	1	2	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	C₂×D₄	1	2	yes	—
184	#41×C₁₉	—	4	4	no	—
185	#41×C₁₉	—	4	4	no	—
186	#41×C₁₉	—	4	8	no	—
187	C₂×Q₈×C₁₉	—	2	2	no	—
188	C₂×Q₈×C₁₉	—	2	4	no	—
189	C₂×Q₈×C₁₉	—	4	4	no	—
190	C₂×Q₈×C₁₉	—	4	4	no	—
191	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
192	C₂×Q₈×C₁₉	C₂⁴	1	4	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	—	4	2	no	—
197	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
198	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
199	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₉	—	2	4	no	—
201	C₂²×C₄×C₁₉	—	2	4	no	—
202	C₂²×C₄×C₁₉	—	2	2	no	—
203	C₂²×C₄×C₁₉	—	2	4	no	—
204	C₂²×C₄×C₁₉	—	4	2	no	—
205	C₂²×C₄×C₁₉	—	4	2	no	—
206	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
209	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
210	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
212	Q₁₆×C₁₉	—	2	4	no	—
213	Q₁₆×C₁₉	—	4	1	no	—
214	Q₁₆×C₁₉	—	4	2	no	—
215	Q₁₆×C₁₉	—	4	4	no	—
216	SD₁₆×C₁₉	—	2	4	no	—
217	SD₁₆×C₁₉	—	4	4	no	—
218	D₈×C₁₉	—	4	1	no	—
219	M₁₆×C₁₉	—	2	8	no	—
220	M₁₆×C₁₉	—	4	4	no	—
221	C₂×C₈×C₁₉	—	2	2	no	—
222	C₂×C₈×C₁₉	—	4	1	no	—
223	C₂×C₈×C₁₉	—	4	2	no	—
224	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
225	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
226	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
227	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
228	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
229	C₄⋊C₄×C₁₉	—	2	2	no	—
230	C₄⋊C₄×C₁₉	—	2	4	no	—
231	C₄⋊C₄×C₁₉	—	2	2	no	—
232	C₄⋊C₄×C₁₉	—	2	4	no	—
233	C₄⋊C₄×C₁₉	—	2	4	no	—
234	C₄⋊C₄×C₁₉	—	2	4	no	—
235	C₄⋊C₄×C₁₉	—	2	2	no	—
236	C₄⋊C₄×C₁₉	—	2	2	no	—
237	C₄⋊C₄×C₁₉	—	2	2	no	—
238	C₄⋊C₄×C₁₉	—	2	4	no	—
239	C₄⋊C₄×C₁₉	—	2	2	no	—
240	C₄⋊C₄×C₁₉	—	2	4	no	—
241	C₄⋊C₄×C₁₉	—	2	2	no	—
242	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
243	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
244	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
245	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
246	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
247	C₂²⋊C₄×C₁₉	—	2	2	no	—
248	C₂²⋊C₄×C₁₉	—	2	4	no	—
249	C₂²⋊C₄×C₁₉	—	2	4	no	—
250	C₂²⋊C₄×C₁₉	—	2	4	no	—
251	C₂²⋊C₄×C₁₉	—	2	4	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	2	no	—
256	C₂²⋊C₄×C₁₉	—	2	4	no	—
257	C₂²⋊C₄×C₁₉	—	2	2	no	—
258	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
259	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
260	C₄²×C₁₉	—	2	4	no	—
261	C₄²×C₁₉	—	2	4	no	—
262	C₄²×C₁₉	—	2	2	no	—
263	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
264	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
265	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
266	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
267	#62264	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
268	C₂³×C₁₉	—	2	4	no	—
269	C₂³×C₁₉	—	2	2	no	—
270	C₂³×C₁₉	—	4	2	no	—
271	C₂³×C₁₉	—	4	2	no	—
272	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
273	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
274	Q₈×C₁₉	—	2	2	no	—
275	Q₈×C₁₉	—	2	4	no	—
276	Q₈×C₁₉	—	2	2	no	—
277	Q₈×C₁₉	—	2	4	no	—
278	Q₈×C₁₉	—	4	4	no	—
279	Q₈×C₁₉	—	8	4	no	—
280	D₄×C₁₉	—	2	4	no	—
281	D₄×C₁₉	—	2	2	no	—
282	D₄×C₁₉	—	2	2	no	—
283	D₄×C₁₉	—	4	2	no	—
284	D₄×C₁₉	—	4	8	no	—
285	D₄×C₁₉	—	4	4	no	—
286	D₄×C₁₉	—	8	4	no	—
287	C₂×C₄×C₁₉	—	2	2	no	—
288	C₂×C₄×C₁₉	—	2	2	no	—
289	C₂×C₄×C₁₉	—	2	1	no	—
290	C₂×C₄×C₁₉	—	2	4	no	—
291	C₂×C₄×C₁₉	—	2	1	no	—
292	C₂×C₄×C₁₉	—	2	4	no	—
293	C₂×C₄×C₁₉	—	2	2	no	—
294	C₂×C₄×C₁₉	—	2	4	no	—
295	C₂×C₄×C₁₉	—	2	2	no	—
296	C₂×C₄×C₁₉	—	2	4	no	—
297	C₂×C₄×C₁₉	—	2	2	no	—
298	C₂×C₄×C₁₉	—	4	4	no	—
299	C₂×C₄×C₁₉	—	4	2	no	—
300	C₂×C₄×C₁₉	—	4	8	no	—
301	C₂×C₄×C₁₉	—	4	4	no	—
302	C₂×C₄×C₁₉	—	8	4	no	—
303	C₂×C₄×C₁₉	—	8	4	no	—
304	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
305	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
306	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
307	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
308	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
309	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
310	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
311	C₈×C₁₉	—	2	1	no	—
312	C₈×C₁₉	—	2	4	no	—
313	C₈×C₁₉	—	2	1	no	—
314	C₈×C₁₉	—	2	1	no	—
315	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
316	#3520	C₂×C₁₉	1	2	yes	complemented
317	#3353	C₂×C₁₉	1	2	yes	complemented
318	#3352	C₂×C₁₉	1	2	yes	complemented
319	#3330	C₂×C₁₉	1	2	yes	complemented
320	#3328	C₂×C₁₉	1	2	yes	complemented
321	#3327	C₂×C₁₉	1	4	yes	complemented
322	#3277	C₂×C₁₉	1	2	yes	complemented
323	#3276	C₂×C₁₉	1	2	yes	complemented
324	#3248	C₂×C₁₉	1	2	yes	complemented
325	#3191	C₂×C₁₉	1	2	yes	complemented
326	#3189	C₂×C₁₉	1	2	yes	complemented
327	#3170	C₂×C₁₉	1	1	yes	characteristic, complemented
328	#3168	C₂×C₁₉	1	1	yes	characteristic, complemented
329	#3056	C₂×C₁₉	1	4	yes	complemented
330	C₂×#436	C₂×C₁₉	1	1	yes	characteristic, complemented
331	C₂²×C₁₉	—	2	1	no	—
332	C₂²×C₁₉	—	2	1	no	—
333	C₂²×C₁₉	—	2	4	no	—
334	C₂²×C₁₉	—	2	4	no	—
335	C₂²×C₁₉	—	2	4	no	—
336	C₂²×C₁₉	—	4	2	no	—
337	C₂²×C₁₉	—	4	2	no	—
338	C₂²×C₁₉	—	4	2	no	—
339	C₂²×C₁₉	—	8	4	no	—
340	C₂²×C₁₉	#578	1	2	yes	—
341	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
342	C₄×C₁₉	—	2	1	no	—
343	C₄×C₁₉	—	2	4	no	—
344	C₄×C₁₉	—	2	1	no	—
345	C₄×C₁₉	—	2	1	no	—
346	C₄×C₁₉	—	2	1	no	—
347	C₄×C₁₉	—	4	4	no	—
348	C₄×C₁₉	—	4	2	no	—
349	C₄×C₁₉	—	4	2	no	—
350	C₄×C₁₉	—	4	4	no	—
351	C₄×C₁₉	—	4	2	no	—
352	C₄×C₁₉	#575	1	2	yes	—
353	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
354	C₄×C₁₉	#585	1	1	yes	characteristic
355	C₂×#137	C₂²×C₁₉	1	4	yes	complemented
356	C₂²×M₁₆	C₂²×C₁₉	1	2	yes	—
357	#556	C₂²×C₁₉	1	2	yes	—
358	#554	—	2	2	no	—
359	#552	C₂²×C₁₉	1	4	yes	—
360	#551	—	2	4	no	—
361	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
362	#548	C₂²×C₁₉	1	4	yes	—
363	#547	C₂²×C₁₉	1	2	yes	—
364	#547	C₂²×C₁₉	1	2	yes	—
365	#546	—	2	2	no	—
366	#542	—	2	2	no	—
367	#539	—	2	4	no	—
368	#533	C₂²×C₁₉	1	2	yes	—
369	#529	C₂²×C₁₉	1	2	yes	—
370	#525	C₂²×C₁₉	1	4	yes	—
371	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	—
372	#520	—	2	2	no	—
373	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
374	#500	C₂²×C₁₉	1	1	yes	characteristic, complemented
375	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
376	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
377	#494	C₂²×C₁₉	1	1	yes	characteristic, complemented
378	#488	C₂²×C₁₉	1	2	yes	complemented
379	#487	C₂²×C₁₉	1	2	yes	complemented
380	#485	C₂²×C₁₉	1	4	yes	complemented
381	#484	C₂²×C₁₉	1	4	yes	complemented
382	#484	C₂²×C₁₉	1	4	yes	complemented
383	#482	C₂²×C₁₉	1	4	yes	complemented
384	#479	C₂²×C₁₉	1	4	yes	complemented
385	#475	C₂²×C₁₉	1	2	yes	complemented
386	#474	C₂²×C₁₉	1	2	yes	complemented
387	#470	C₂²×C₁₉	1	4	yes	complemented
388	#470	C₂²×C₁₉	1	4	yes	complemented
389	#468	C₂²×C₁₉	1	4	yes	complemented
390	#468	C₂²×C₁₉	1	4	yes	complemented
391	#467	C₂²×C₁₉	1	1	yes	characteristic
392	#467	C₂²×C₁₉	1	2	yes	—
393	#467	C₂²×C₁₉	1	2	yes	—
394	#467	C₂²×C₁₉	1	4	yes	—
395	#466	C₂²×C₁₉	1	1	yes	characteristic
396	#465	C₂²×C₁₉	1	2	yes	—
397	#465	C₂²×C₁₉	1	4	yes	—
398	#464	C₂²×C₁₉	1	4	yes	complemented
399	#462	C₂²×C₁₉	1	2	yes	complemented
400	#461	C₂²×C₁₉	1	2	yes	complemented
401	#452	C₂²×C₁₉	1	4	yes	complemented
402	#451	C₂²×C₁₉	1	4	yes	complemented
403	#451	C₂²×C₁₉	1	4	yes	complemented
404	#449	C₂²×C₁₉	1	4	yes	complemented
405	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
406	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	complemented
407	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	complemented
408	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
409	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
410	#436	C₂²×C₁₉	1	2	yes	—
411	#436	C₂²×C₁₉	1	2	yes	—
412	#436	C₂²×C₁₉	1	2	yes	—
413	#436	C₂²×C₁₉	1	2	yes	—
414	#428	C₂²×C₁₉	1	4	yes	complemented
415	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
416	#419	C₂²×C₁₉	1	4	yes	complemented
417	#417	C₂²×C₁₉	1	4	yes	complemented
418	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
419	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
420	C₂×C₁₉	—	2	2	no	—
421	C₂×C₁₉	—	4	4	no	—
422	C₂×C₁₉	—	8	2	no	—
423	C₂×C₁₉	#3496	1	1	yes	characteristic
424	C₂×C₁₉	C₂×#575	1	1	yes	characteristic
425	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
426	C₂×#41	—	2	2	no	—
427	C₂×#41	C₂³×C₁₉	1	4	yes	—
428	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
429	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
430	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
431	#137	—	4	8	no	—
432	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
433	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
434	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
435	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
436	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
437	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
438	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
439	C₂×M₁₆	—	4	4	no	—
440	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
441	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
442	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
443	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
444	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
445	C₄⋊Q₈	—	2	2	no	—
446	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
447	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
448	#126	—	2	4	no	—
449	#126	—	2	4	no	—
450	#126	—	2	2	no	—
451	#125	—	2	4	no	—
452	#125	—	2	2	no	—
453	#125	C₂³×C₁₉	1	2	yes	—
454	#124	—	2	2	no	—
455	#124	—	2	4	no	—
456	#124	C₂³×C₁₉	1	2	yes	—
457	#123	—	2	4	no	—
458	#123	—	2	4	no	—
459	#123	—	2	2	no	—
460	#123	—	2	4	no	—
461	#123	—	2	4	no	—
462	C₂²⋊Q₈	—	2	4	no	—
463	C₂²⋊Q₈	—	2	4	no	—
464	C₂²⋊Q₈	—	2	2	no	—
465	C₂²⋊Q₈	—	2	4	no	—
466	C₂²⋊Q₈	—	2	2	no	—
467	C₂²⋊Q₈	—	2	4	no	—
468	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
469	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
470	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
471	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
472	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
473	#121	—	2	4	no	—
474	#121	—	2	2	no	—
475	#121	C₂³×C₁₉	1	2	yes	—
476	#121	C₂³×C₁₉	1	4	yes	—
477	#120	—	2	4	no	—
478	C₄×Q₈	—	2	2	no	—
479	C₄×Q₈	—	2	2	no	—
480	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
481	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
482	C₄×D₄	—	2	2	no	—
483	C₄×D₄	—	2	4	no	—
484	C₄×D₄	—	2	4	no	—
485	C₄×D₄	—	2	2	no	—
486	C₄×D₄	—	2	4	no	—
487	C₄×D₄	D₄×C₁₉	1	2	yes	—
488	C₄×D₄	D₄×C₁₉	1	2	yes	—
489	C₄×D₄	C₂³×C₁₉	1	2	yes	—
490	C₄×D₄	C₂³×C₁₉	1	2	yes	—
491	C₄×D₄	C₂³×C₁₉	1	2	yes	—
492	#117	—	2	2	no	—
493	#117	—	2	4	no	—
494	#117	—	2	2	no	—
495	#117	C₂³×C₁₉	1	4	yes	—
496	C₂×C₄⋊C₄	—	2	4	no	—
497	C₂×C₄⋊C₄	—	2	2	no	—
498	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
499	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
500	C₂×C₂²⋊C₄	—	2	4	no	—
501	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
502	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
503	#107	C₂³×C₁₉	1	2	yes	—
504	#107	C₂³×C₁₉	1	4	yes	—
505	#107	C₂³×C₁₉	1	1	yes	characteristic
506	#107	C₂³×C₁₉	1	1	yes	characteristic
507	#107	C₂³×C₁₉	1	2	yes	—
508	#106	C₂³×C₁₉	1	2	yes	—
509	#106	C₂³×C₁₉	1	4	yes	—
510	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
511	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
512	#103	C₂³×C₁₉	1	4	yes	—
513	#103	C₂³×C₁₉	1	4	yes	—
514	#103	C₂³×C₁₉	1	2	yes	—
515	#103	C₂³×C₁₉	1	4	yes	—
516	#103	C₂³×C₁₉	1	4	yes	—
517	#103	C₂³×C₁₉	1	2	yes	—
518	#103	C₂³×C₁₉	1	4	yes	—
519	#102	C₂³×C₁₉	1	2	yes	—
520	#102	C₂³×C₁₉	1	4	yes	—
521	#102	C₂³×C₁₉	1	2	yes	—
522	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
523	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
524	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
525	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
526	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
527	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
528	C₁₉	#62264	1	1	yes	characteristic, direct product factor, Sylow
529	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
530	#41	—	4	4	no	—
531	#41	—	4	4	no	—
532	#41	—	4	8	no	—
533	C₂×Q₈	—	2	2	no	—
534	C₂×Q₈	—	2	4	no	—
535	C₂×Q₈	—	4	4	no	—
536	C₂×Q₈	—	4	4	no	—
537	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
538	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
539	C₂×D₄	—	2	2	no	—
540	C₂×D₄	—	2	4	no	—
541	C₂×D₄	—	2	4	no	—
542	C₂×D₄	—	4	2	no	—
543	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
544	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
545	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
546	C₂²×C₄	—	2	4	no	—
547	C₂²×C₄	—	2	4	no	—
548	C₂²×C₄	—	2	2	no	—
549	C₂²×C₄	—	2	4	no	—
550	C₂²×C₄	—	4	2	no	—
551	C₂²×C₄	—	4	2	no	—
552	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
553	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
554	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
555	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
556	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
557	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
558	Q₁₆	—	2	4	no	—
559	Q₁₆	—	4	1	no	—
560	Q₁₆	—	4	2	no	—
561	Q₁₆	—	4	4	no	—
562	SD₁₆	—	2	4	no	—
563	SD₁₆	—	4	4	no	—
564	D₈	—	4	1	no	—
565	M₁₆	—	2	8	no	—
566	M₁₆	—	4	4	no	—
567	C₂×C₈	—	2	2	no	—
568	C₂×C₈	—	4	1	no	—
569	C₂×C₈	—	4	2	no	—
570	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
571	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
572	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
573	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
574	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
575	C₄⋊C₄	—	2	2	no	—
576	C₄⋊C₄	—	2	4	no	—
577	C₄⋊C₄	—	2	2	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	2	no	—
582	C₄⋊C₄	—	2	2	no	—
583	C₄⋊C₄	—	2	2	no	—
584	C₄⋊C₄	—	2	4	no	—
585	C₄⋊C₄	—	2	2	no	—
586	C₄⋊C₄	—	2	4	no	—
587	C₄⋊C₄	—	2	2	no	—
588	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
589	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
590	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
591	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
592	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
593	C₂²⋊C₄	—	2	2	no	—
594	C₂²⋊C₄	—	2	4	no	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	4	no	—
598	C₂²⋊C₄	—	2	4	no	—
599	C₂²⋊C₄	—	2	2	no	—
600	C₂²⋊C₄	—	2	2	no	—
601	C₂²⋊C₄	—	2	2	no	—
602	C₂²⋊C₄	—	2	4	no	—
603	C₂²⋊C₄	—	2	2	no	—
604	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
605	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
606	C₄²	—	2	4	no	—
607	C₄²	—	2	4	no	—
608	C₄²	—	2	2	no	—
609	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
610	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
611	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
612	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
613	C₂³	—	2	4	no	—
614	C₂³	—	2	2	no	—
615	C₂³	—	4	2	no	—
616	C₂³	—	4	2	no	—
617	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
618	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
619	Q₈	—	2	2	no	—
620	Q₈	—	2	4	no	—
621	Q₈	—	2	2	no	—
622	Q₈	—	2	4	no	—
623	Q₈	—	4	4	no	—
624	Q₈	—	8	4	no	—
625	D₄	—	2	4	no	—
626	D₄	—	2	2	no	—
627	D₄	—	2	2	no	—
628	D₄	—	4	2	no	—
629	D₄	—	4	8	no	—
630	D₄	—	4	4	no	—
631	D₄	—	8	4	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	1	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	1	no	—
637	C₂×C₄	—	2	4	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	4	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	4	4	no	—
644	C₂×C₄	—	4	2	no	—
645	C₂×C₄	—	4	8	no	—
646	C₂×C₄	—	4	4	no	—
647	C₂×C₄	—	8	4	no	—
648	C₂×C₄	—	8	4	no	—
649	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
650	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
651	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
652	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
653	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
654	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
655	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
656	C₈	—	2	1	no	—
657	C₈	—	2	4	no	—
658	C₈	—	2	1	no	—
659	C₈	—	2	1	no	—
660	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
661	C₂²	—	2	1	no	—
662	C₂²	—	2	1	no	—
663	C₂²	—	2	4	no	—
664	C₂²	—	2	4	no	—
665	C₂²	—	2	4	no	—
666	C₂²	—	4	2	no	—
667	C₂²	—	4	2	no	—
668	C₂²	—	4	2	no	—
669	C₂²	—	8	4	no	—
670	C₂²	C₁₉×#578	1	2	yes	—
671	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
672	C₄	—	2	1	no	—
673	C₄	—	2	4	no	—
674	C₄	—	2	1	no	—
675	C₄	—	2	1	no	—
676	C₄	—	2	1	no	—
677	C₄	—	4	4	no	—
678	C₄	—	4	2	no	—
679	C₄	—	4	2	no	—
680	C₄	—	4	4	no	—
681	C₄	—	4	2	no	—
682	C₄	C₁₉×#575	1	2	yes	—
683	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
684	C₄	C₁₉×#585	1	1	yes	characteristic
685	C₂	—	2	2	no	—
686	C₂	—	4	4	no	—
687	C₂	—	8	2	no	—
688	C₂	C₁₉×#3496	1	1	yes	characteristic
689	C₂	C₂×C₁₉×#575	1	1	yes	characteristic
690	C₂	C₂×C₁₉×#578	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 ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3520	C₂	semidirect
2. C₁₉×#3353	C₂	semidirect
3. C₁₉×#3352	C₂	semidirect
4. C₁₉×#3330	C₂	semidirect
5. C₁₉×#3328	C₂	semidirect
6. C₁₉×#3327	C₂	semidirect
7. C₁₉×#3277	C₂	semidirect
8. C₁₉×#3276	C₂	semidirect
9. C₁₉×#3248	C₂	semidirect
10. C₁₉×#3191	C₂	semidirect
11. C₁₉×#3189	C₂	semidirect
12. C₁₉×#3170	C₂	semidirect
13. C₁₉×#3168	C₂	semidirect
14. C₁₉×#3056	C₂	semidirect
15. C₂×C₁₉×#436	C₂	semidirect
16. C₂×C₁₉×#137	C₂²	semidirect
35. C₁₉×#500	C₂²	semidirect
36. C₁₉×#499	C₂²	semidirect
37. C₁₉×#495	C₂²	semidirect
38. C₁₉×#494	C₂²	semidirect
39. C₁₉×#488	C₂²	semidirect
40. C₁₉×#487	C₂²	semidirect
41. C₁₉×#485	C₂²	semidirect
42. C₁₉×#484	C₂²	semidirect
43. C₁₉×#484	C₂²	semidirect
44. C₁₉×#482	C₂²	semidirect
45. C₁₉×#479	C₂²	semidirect
46. C₁₉×#475	C₂²	semidirect
47. C₁₉×#474	C₂²	semidirect
48. C₁₉×#470	C₂²	semidirect
49. C₁₉×#470	C₂²	semidirect
50. C₁₉×#468	C₂²	semidirect
51. C₁₉×#468	C₂²	semidirect
59. C₁₉×#464	C₂²	semidirect
60. C₁₉×#462	C₂²	semidirect
61. C₁₉×#461	C₂²	semidirect
62. C₁₉×#452	C₂²	semidirect
63. C₁₉×#451	C₂²	semidirect
64. C₁₉×#451	C₂²	semidirect
65. C₁₉×#449	C₂²	semidirect
66. C₄×Q₁₆×C₁₉	C₂²	semidirect
67. C₄×Q₁₆×C₁₉	C₂²	semidirect
68. C₄×Q₁₆×C₁₉	C₂²	semidirect
69. C₄×SD₁₆×C₁₉	C₂²	semidirect
70. C₄×D₈×C₁₉	C₂²	semidirect
75. C₁₉×#428	C₂²	semidirect
77. C₁₉×#419	C₂²	semidirect
78. C₁₉×#417	C₂²	semidirect
267. #62264	C₁₉	direct (N × H)
316. #3520	C₂×C₁₉	semidirect
317. #3353	C₂×C₁₉	semidirect
318. #3352	C₂×C₁₉	semidirect
319. #3330	C₂×C₁₉	semidirect
320. #3328	C₂×C₁₉	semidirect
321. #3327	C₂×C₁₉	semidirect
322. #3277	C₂×C₁₉	semidirect
323. #3276	C₂×C₁₉	semidirect
324. #3248	C₂×C₁₉	semidirect
325. #3191	C₂×C₁₉	semidirect
326. #3189	C₂×C₁₉	semidirect
327. #3170	C₂×C₁₉	semidirect
328. #3168	C₂×C₁₉	semidirect
329. #3056	C₂×C₁₉	semidirect
330. C₂×#436	C₂×C₁₉	semidirect
355. C₂×#137	C₂²×C₁₉	semidirect
374. #500	C₂²×C₁₉	semidirect
375. #499	C₂²×C₁₉	semidirect
376. #495	C₂²×C₁₉	semidirect
377. #494	C₂²×C₁₉	semidirect
378. #488	C₂²×C₁₉	semidirect
379. #487	C₂²×C₁₉	semidirect
380. #485	C₂²×C₁₉	semidirect
381. #484	C₂²×C₁₉	semidirect
382. #484	C₂²×C₁₉	semidirect
383. #482	C₂²×C₁₉	semidirect
384. #479	C₂²×C₁₉	semidirect
385. #475	C₂²×C₁₉	semidirect
386. #474	C₂²×C₁₉	semidirect
387. #470	C₂²×C₁₉	semidirect
388. #470	C₂²×C₁₉	semidirect
389. #468	C₂²×C₁₉	semidirect
390. #468	C₂²×C₁₉	semidirect
398. #464	C₂²×C₁₉	semidirect
399. #462	C₂²×C₁₉	semidirect
400. #461	C₂²×C₁₉	semidirect
401. #452	C₂²×C₁₉	semidirect
402. #451	C₂²×C₁₉	semidirect
403. #451	C₂²×C₁₉	semidirect
404. #449	C₂²×C₁₉	semidirect
405. C₄×Q₁₆	C₂²×C₁₉	semidirect
406. C₄×Q₁₆	C₂²×C₁₉	semidirect
407. C₄×Q₁₆	C₂²×C₁₉	semidirect
408. C₄×SD₁₆	C₂²×C₁₉	semidirect
409. C₄×D₈	C₂²×C₁₉	semidirect
414. #428	C₂²×C₁₉	semidirect
416. #419	C₂²×C₁₉	semidirect
417. #417	C₂²×C₁₉	semidirect
528. C₁₉	#62264	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×#3520	2
C₁₉×#3353	2
C₁₉×#3352	2
C₁₉×#3330	2
C₁₉×#3328	2
C₁₉×#3327	2
C₁₉×#3277	2
C₁₉×#3276	2
C₁₉×#3248	2
C₁₉×#3191	2
C₁₉×#3189	2
C₁₉×#3170	2
C₁₉×#3168	2
C₁₉×#3056	2
C₂×C₁₉×#436	2
#62264	19

Subgroups — C19×#62264 #18068223

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62264 #18068223