Subgroups — C₁₉×#62268 #18068227

Order 4864.

1904 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3537	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3337	C₂	1	4	yes	maximal, complemented
4	C₁₉×#3320	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3310	C₂	1	4	yes	maximal, complemented
6	D₄×SD₁₆×C₁₉	C₂	1	4	yes	maximal, complemented
7	C₁₉×#3260	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3200	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3193	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3174	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3057	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₉×#465	C₂	1	2	yes	maximal, complemented
13	C₁₉×#2929	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
15	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
16	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
17	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
18	C₁₉×#563	—	2	2	no	—
19	C₁₉×#560	—	2	2	no	—
20	C₁₉×#553	C₂²	1	4	yes	—
21	C₁₉×#552	C₂²	1	4	yes	complemented
22	C₁₉×#551	—	2	2	no	—
23	D₄×Q₈×C₁₉	C₂²	1	4	yes	complemented
24	D₄²×C₁₉	—	2	2	no	—
25	D₄²×C₁₉	C₂²	1	4	yes	—
26	C₁₉×#544	—	2	2	no	—
27	C₁₉×#541	C₂²	1	2	yes	complemented
28	C₁₉×#540	C₂²	1	2	yes	—
29	C₁₉×#539	—	2	2	no	—
30	C₁₉×#538	—	2	2	no	—
31	C₁₉×#536	C₂²	1	2	yes	complemented
32	C₁₉×#535	C₂²	1	2	yes	—
33	C₁₉×#534	—	2	2	no	—
34	C₁₉×#525	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₁₉×#121	C₂²	1	2	yes	—
37	C₁₉×#499	C₂²	1	2	yes	complemented
38	C₁₉×#492	C₂²	1	2	yes	complemented
39	C₁₉×#491	C₂²	1	2	yes	complemented
40	C₁₉×#490	C₂²	1	2	yes	complemented
41	C₁₉×#485	C₂²	1	4	yes	complemented
42	C₁₉×#484	C₂²	1	4	yes	complemented
43	C₁₉×#482	C₂²	1	4	yes	complemented
44	C₁₉×#480	C₂²	1	4	yes	complemented
45	C₁₉×#479	C₂²	1	4	yes	complemented
46	C₁₉×#478	C₂²	1	4	yes	complemented
47	C₁₉×#468	C₂²	1	4	yes	complemented
48	C₁₉×#468	C₂²	1	4	yes	complemented
49	C₁₉×#468	C₂²	1	4	yes	complemented
50	C₁₉×#465	C₂²	1	4	yes	complemented
51	C₁₉×#465	C₂²	1	4	yes	complemented
52	C₁₉×#465	C₂²	1	4	yes	complemented
53	C₁₉×#465	C₂²	1	4	yes	complemented
54	C₁₉×#465	C₂²	1	4	yes	complemented
55	C₁₉×#461	C₂²	1	4	yes	complemented
56	C₁₉×#460	C₂²	1	4	yes	complemented
57	C₁₉×#450	C₂²	1	4	yes	complemented
58	C₁₉×#450	C₂²	1	4	yes	complemented
59	C₁₉×#448	C₂²	1	4	yes	complemented
60	C₁₉×#448	C₂²	1	4	yes	complemented
61	C₁₉×#440	C₂²	1	4	yes	complemented
62	C₄×SD₁₆×C₁₉	C₂²	1	4	yes	complemented
63	C₁₉×#435	C₂²	1	4	yes	complemented
64	C₈×D₄×C₁₉	C₂²	1	4	yes	complemented
65	C₁₉×#427	C₂²	1	2	yes	complemented
66	C₂×C₁₉×#106	C₂²	1	2	yes	complemented
67	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#419	C₂²	1	2	yes	complemented
69	C₁₉×#418	C₂²	1	2	yes	complemented
70	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
71	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
72	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
75	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
76	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
77	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
78	C₂²×D₄×C₁₉	—	2	2	no	—
79	C₂²×D₄×C₁₉	—	2	4	no	—
80	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
81	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
82	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
83	C₂×SD₁₆×C₁₉	—	4	4	no	—
84	C₂×SD₁₆×C₁₉	—	4	4	no	—
85	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
86	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
87	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
88	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
89	C₁₉×#131	—	4	2	no	—
90	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
91	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
92	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
93	C₂²×C₈×C₁₉	—	4	2	no	—
94	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
95	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
96	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
97	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
98	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
99	C₁₉×C₄⋊Q₈	—	2	2	no	—
100	C₁₉×C₄⋊Q₈	—	2	4	no	—
101	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
102	C₁₉×#127	—	2	2	no	—
103	C₁₉×#127	C₂³	1	2	yes	—
104	C₁₉×#126	—	2	4	no	—
105	C₁₉×#126	—	2	4	no	—
106	C₁₉×#126	—	2	4	no	—
107	C₁₉×#125	—	2	4	no	—
108	C₁₉×#125	—	2	4	no	—
109	C₁₉×#125	C₂³	1	2	yes	—
110	C₁₉×#125	C₂³	1	2	yes	—
111	C₁₉×#124	—	2	2	no	—
112	C₁₉×#124	—	2	2	no	—
113	C₁₉×#123	—	2	2	no	—
114	C₁₉×#123	—	2	2	no	—
115	C₁₉×#123	—	2	4	no	—
116	C₁₉×#123	—	2	4	no	—
117	C₁₉×#123	—	2	4	no	—
118	C₁₉×#123	D₄	1	2	yes	—
119	C₁₉×C₂²⋊Q₈	—	2	2	no	—
120	C₁₉×C₂²⋊Q₈	—	2	2	no	—
121	C₁₉×C₂²⋊Q₈	—	2	4	no	—
122	C₁₉×C₂²⋊Q₈	—	2	4	no	—
123	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
124	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
125	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
126	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
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	C₂³	1	4	yes	—
134	C₁₉×#121	C₂³	1	4	yes	—
135	C₁₉×#121	C₂³	1	4	yes	—
136	C₁₉×#120	—	2	2	no	—
137	C₁₉×#120	—	2	2	no	—
138	C₁₉×#120	—	2	4	no	—
139	C₁₉×#120	—	2	4	no	—
140	C₁₉×#120	D₄	1	2	yes	—
141	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
142	C₄×D₄×C₁₉	—	2	4	no	—
143	C₄×D₄×C₁₉	—	2	4	no	—
144	C₄×D₄×C₁₉	C₂³	1	4	yes	—
145	C₄×D₄×C₁₉	C₂³	1	4	yes	—
146	C₁₉×#117	—	2	4	no	—
147	C₁₉×#117	C₂³	1	2	yes	—
148	C₁₉×#117	C₂³	1	2	yes	—
149	C₁₉×#117	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
151	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
153	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
154	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
155	C₁₉×#107	C₂³	1	4	yes	—
156	C₁₉×#107	C₂³	1	4	yes	—
157	C₁₉×#106	C₂³	1	4	yes	—
158	C₁₉×#106	C₂³	1	4	yes	—
159	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
160	C₁₉×#103	C₂³	1	4	yes	—
161	C₁₉×#103	C₂³	1	4	yes	—
162	C₁₉×#103	C₂³	1	4	yes	—
163	C₁₉×#103	C₂³	1	4	yes	—
164	C₁₉×#102	C₂³	1	4	yes	—
165	C₁₉×#102	C₂³	1	4	yes	—
166	C₁₉×#102	C₂³	1	4	yes	—
167	C₁₉×#102	C₂³	1	4	yes	—
168	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
169	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
170	C₁₉×#97	C₂³	1	2	yes	—
171	C₄×C₈×C₁₉	C₂³	1	2	yes	—
172	C₂⁴×C₁₉	—	2	2	no	—
173	C₂⁴×C₁₉	—	2	2	no	—
174	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
175	#41×C₁₉	—	4	1	no	—
176	#41×C₁₉	—	4	1	no	—
177	C₂×Q₈×C₁₉	—	2	2	no	—
178	C₂×Q₈×C₁₉	—	2	2	no	—
179	C₂×Q₈×C₁₉	—	4	2	no	—
180	C₂×Q₈×C₁₉	—	4	2	no	—
181	C₂×Q₈×C₁₉	—	4	2	no	—
182	C₂×Q₈×C₁₉	—	4	2	no	—
183	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
184	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
185	C₂×D₄×C₁₉	—	2	4	no	—
186	C₂×D₄×C₁₉	—	2	4	no	—
187	C₂×D₄×C₁₉	—	2	4	no	—
188	C₂×D₄×C₁₉	—	2	2	no	—
189	C₂×D₄×C₁₉	—	2	4	no	—
190	C₂×D₄×C₁₉	—	2	2	no	—
191	C₂×D₄×C₁₉	—	4	2	no	—
192	C₂×D₄×C₁₉	—	4	2	no	—
193	C₂×D₄×C₁₉	—	4	2	no	—
194	C₂×D₄×C₁₉	—	4	2	no	—
195	C₂×D₄×C₁₉	—	8	8	no	—
196	C₂×D₄×C₁₉	—	8	4	no	—
197	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
198	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
199	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
200	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
201	C₂²×C₄×C₁₉	—	2	2	no	—
202	C₂²×C₄×C₁₉	—	2	2	no	—
203	C₂²×C₄×C₁₉	—	2	2	no	—
204	C₂²×C₄×C₁₉	—	2	2	no	—
205	C₂²×C₄×C₁₉	—	2	4	no	—
206	C₂²×C₄×C₁₉	—	4	1	no	—
207	C₂²×C₄×C₁₉	—	4	1	no	—
208	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
209	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
210	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
212	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
213	SD₁₆×C₁₉	—	2	8	no	—
214	SD₁₆×C₁₉	—	4	4	no	—
215	SD₁₆×C₁₉	—	4	4	no	—
216	SD₁₆×C₁₉	—	4	4	no	—
217	M₁₆×C₁₉	—	4	1	no	—
218	M₁₆×C₁₉	—	4	2	no	—
219	M₁₆×C₁₉	—	4	1	no	—
220	C₂×C₈×C₁₉	—	2	2	no	—
221	C₂×C₈×C₁₉	—	2	4	no	—
222	C₂×C₈×C₁₉	—	2	4	no	—
223	C₂×C₈×C₁₉	—	4	2	no	—
224	C₂×C₈×C₁₉	—	4	1	no	—
225	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
226	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
227	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
228	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
229	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
230	C₄⋊C₄×C₁₉	—	2	4	no	—
231	C₄⋊C₄×C₁₉	—	2	4	no	—
232	C₄⋊C₄×C₁₉	—	2	2	no	—
233	C₄⋊C₄×C₁₉	—	2	2	no	—
234	C₄⋊C₄×C₁₉	—	2	4	no	—
235	C₄⋊C₄×C₁₉	—	2	4	no	—
236	C₄⋊C₄×C₁₉	—	2	4	no	—
237	C₄⋊C₄×C₁₉	—	2	4	no	—
238	C₄⋊C₄×C₁₉	—	2	4	no	—
239	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
240	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
241	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
242	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
243	C₂²⋊C₄×C₁₉	—	2	4	no	—
244	C₂²⋊C₄×C₁₉	—	2	4	no	—
245	C₂²⋊C₄×C₁₉	—	2	2	no	—
246	C₂²⋊C₄×C₁₉	—	2	2	no	—
247	C₂²⋊C₄×C₁₉	—	2	4	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	C₂×D₄	1	4	yes	—
253	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
254	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
255	C₄²×C₁₉	—	2	2	no	—
256	C₄²×C₁₉	—	2	4	no	—
257	C₄²×C₁₉	—	2	2	no	—
258	C₄²×C₁₉	C₂⁴	1	2	yes	—
259	#62268	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
260	C₂³×C₁₉	—	2	4	no	—
261	C₂³×C₁₉	—	2	4	no	—
262	C₂³×C₁₉	—	4	1	no	—
263	C₂³×C₁₉	—	4	4	no	—
264	C₂³×C₁₉	—	8	2	no	—
265	C₂³×C₁₉	—	8	2	no	—
266	C₂³×C₁₉	—	8	2	no	—
267	C₂³×C₁₉	—	8	4	no	—
268	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
269	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
270	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
271	Q₈×C₁₉	—	2	4	no	—
272	Q₈×C₁₉	—	2	4	no	—
273	Q₈×C₁₉	—	4	1	no	—
274	Q₈×C₁₉	—	8	2	no	—
275	Q₈×C₁₉	—	8	2	no	—
276	D₄×C₁₉	—	2	8	no	—
277	D₄×C₁₉	—	2	4	no	—
278	D₄×C₁₉	—	2	4	no	—
279	D₄×C₁₉	—	4	1	no	—
280	D₄×C₁₉	—	4	2	no	—
281	D₄×C₁₉	—	4	8	no	—
282	D₄×C₁₉	—	8	2	no	—
283	D₄×C₁₉	—	8	2	no	—
284	D₄×C₁₉	—	8	4	no	—
285	D₄×C₁₉	—	8	4	no	—
286	D₄×C₁₉	—	8	4	no	—
287	C₂×C₄×C₁₉	—	2	1	no	—
288	C₂×C₄×C₁₉	—	2	2	no	—
289	C₂×C₄×C₁₉	—	2	2	no	—
290	C₂×C₄×C₁₉	—	2	1	no	—
291	C₂×C₄×C₁₉	—	2	2	no	—
292	C₂×C₄×C₁₉	—	2	2	no	—
293	C₂×C₄×C₁₉	—	2	4	no	—
294	C₂×C₄×C₁₉	—	2	4	no	—
295	C₂×C₄×C₁₉	—	2	4	no	—
296	C₂×C₄×C₁₉	—	4	2	no	—
297	C₂×C₄×C₁₉	—	4	1	no	—
298	C₂×C₄×C₁₉	—	4	4	no	—
299	C₂×C₄×C₁₉	—	8	4	no	—
300	C₂×C₄×C₁₉	—	8	2	no	—
301	C₂×C₄×C₁₉	—	8	2	no	—
302	C₂×C₄×C₁₉	—	8	2	no	—
303	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
304	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
305	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
306	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
307	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
308	C₈×C₁₉	—	2	1	no	—
309	C₈×C₁₉	—	2	2	no	—
310	C₈×C₁₉	—	2	2	no	—
311	C₈×C₁₉	—	2	2	no	—
312	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
313	#3538	C₂×C₁₉	1	1	yes	characteristic, complemented
314	#3537	C₂×C₁₉	1	1	yes	characteristic
315	#3337	C₂×C₁₉	1	4	yes	complemented
316	#3320	C₂×C₁₉	1	4	yes	complemented
317	#3310	C₂×C₁₉	1	4	yes	complemented
318	D₄×SD₁₆	C₂×C₁₉	1	4	yes	complemented
319	#3260	C₂×C₁₉	1	2	yes	complemented
320	#3200	C₂×C₁₉	1	2	yes	complemented
321	#3193	C₂×C₁₉	1	2	yes	complemented
322	#3174	C₂×C₁₉	1	2	yes	complemented
323	#3057	C₂×C₁₉	1	2	yes	complemented
324	C₂×#465	C₂×C₁₉	1	2	yes	complemented
325	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
326	C₂²×C₁₉	—	2	2	no	—
327	C₂²×C₁₉	—	2	2	no	—
328	C₂²×C₁₉	—	2	1	no	—
329	C₂²×C₁₉	—	2	2	no	—
330	C₂²×C₁₉	—	2	4	no	—
331	C₂²×C₁₉	—	2	2	no	—
332	C₂²×C₁₉	—	4	4	no	—
333	C₂²×C₁₉	—	4	4	no	—
334	C₂²×C₁₉	—	4	4	no	—
335	C₂²×C₁₉	—	4	4	no	—
336	C₂²×C₁₉	—	16	4	no	—
337	C₂²×C₁₉	—	16	4	no	—
338	C₂²×C₁₉	#577	1	4	yes	—
339	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
340	C₄×C₁₉	—	2	1	no	—
341	C₄×C₁₉	—	2	2	no	—
342	C₄×C₁₉	—	2	2	no	—
343	C₄×C₁₉	—	2	4	no	—
344	C₄×C₁₉	—	4	4	no	—
345	C₄×C₁₉	—	4	4	no	—
346	C₄×C₁₉	—	4	4	no	—
347	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
348	C₄×C₁₉	#585	1	1	yes	characteristic
349	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
350	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
351	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
352	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
353	#563	—	2	2	no	—
354	#560	—	2	2	no	—
355	#553	C₂²×C₁₉	1	4	yes	—
356	#552	C₂²×C₁₉	1	4	yes	complemented
357	#551	—	2	2	no	—
358	D₄×Q₈	C₂²×C₁₉	1	4	yes	complemented
359	D₄²	—	2	2	no	—
360	D₄²	C₂²×C₁₉	1	4	yes	—
361	#544	—	2	2	no	—
362	#541	C₂²×C₁₉	1	2	yes	complemented
363	#540	C₂²×C₁₉	1	2	yes	—
364	#539	—	2	2	no	—
365	#538	—	2	2	no	—
366	#536	C₂²×C₁₉	1	2	yes	complemented
367	#535	C₂²×C₁₉	1	2	yes	—
368	#534	—	2	2	no	—
369	#525	C₂²×C₁₉	1	1	yes	characteristic
370	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
371	C₂×#121	C₂²×C₁₉	1	2	yes	—
372	#499	C₂²×C₁₉	1	2	yes	complemented
373	#492	C₂²×C₁₉	1	2	yes	complemented
374	#491	C₂²×C₁₉	1	2	yes	complemented
375	#490	C₂²×C₁₉	1	2	yes	complemented
376	#485	C₂²×C₁₉	1	4	yes	complemented
377	#484	C₂²×C₁₉	1	4	yes	complemented
378	#482	C₂²×C₁₉	1	4	yes	complemented
379	#480	C₂²×C₁₉	1	4	yes	complemented
380	#479	C₂²×C₁₉	1	4	yes	complemented
381	#478	C₂²×C₁₉	1	4	yes	complemented
382	#468	C₂²×C₁₉	1	4	yes	complemented
383	#468	C₂²×C₁₉	1	4	yes	complemented
384	#468	C₂²×C₁₉	1	4	yes	complemented
385	#465	C₂²×C₁₉	1	4	yes	complemented
386	#465	C₂²×C₁₉	1	4	yes	complemented
387	#465	C₂²×C₁₉	1	4	yes	complemented
388	#465	C₂²×C₁₉	1	4	yes	complemented
389	#465	C₂²×C₁₉	1	4	yes	complemented
390	#461	C₂²×C₁₉	1	4	yes	complemented
391	#460	C₂²×C₁₉	1	4	yes	complemented
392	#450	C₂²×C₁₉	1	4	yes	complemented
393	#450	C₂²×C₁₉	1	4	yes	complemented
394	#448	C₂²×C₁₉	1	4	yes	complemented
395	#448	C₂²×C₁₉	1	4	yes	complemented
396	#440	C₂²×C₁₉	1	4	yes	complemented
397	C₄×SD₁₆	C₂²×C₁₉	1	4	yes	complemented
398	#435	C₂²×C₁₉	1	4	yes	complemented
399	C₈×D₄	C₂²×C₁₉	1	4	yes	complemented
400	#427	C₂²×C₁₉	1	2	yes	complemented
401	C₂×#106	C₂²×C₁₉	1	2	yes	complemented
402	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
403	#419	C₂²×C₁₉	1	2	yes	complemented
404	#418	C₂²×C₁₉	1	2	yes	complemented
405	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
406	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
407	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
408	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
409	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
410	C₂×C₁₉	—	2	4	no	—
411	C₂×C₁₉	—	4	1	no	—
412	C₂×C₁₉	—	4	2	no	—
413	C₂×C₁₉	—	8	4	no	—
414	C₂×C₁₉	#3496	1	1	yes	characteristic
415	C₂×C₁₉	C₂×#577	1	2	yes	—
416	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
417	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
418	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
419	C₂²×D₄	—	2	2	no	—
420	C₂²×D₄	—	2	4	no	—
421	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
422	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
423	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
424	C₂×SD₁₆	—	4	4	no	—
425	C₂×SD₁₆	—	4	4	no	—
426	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
427	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
428	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
429	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
430	#131	—	4	2	no	—
431	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
432	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
433	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
434	C₂²×C₈	—	4	2	no	—
435	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
436	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
437	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
438	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
439	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
440	C₄⋊Q₈	—	2	2	no	—
441	C₄⋊Q₈	—	2	4	no	—
442	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
443	#127	—	2	2	no	—
444	#127	C₂³×C₁₉	1	2	yes	—
445	#126	—	2	4	no	—
446	#126	—	2	4	no	—
447	#126	—	2	4	no	—
448	#125	—	2	4	no	—
449	#125	—	2	4	no	—
450	#125	C₂³×C₁₉	1	2	yes	—
451	#125	C₂³×C₁₉	1	2	yes	—
452	#124	—	2	2	no	—
453	#124	—	2	2	no	—
454	#123	—	2	2	no	—
455	#123	—	2	2	no	—
456	#123	—	2	4	no	—
457	#123	—	2	4	no	—
458	#123	—	2	4	no	—
459	#123	D₄×C₁₉	1	2	yes	—
460	C₂²⋊Q₈	—	2	2	no	—
461	C₂²⋊Q₈	—	2	2	no	—
462	C₂²⋊Q₈	—	2	4	no	—
463	C₂²⋊Q₈	—	2	4	no	—
464	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
465	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
466	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
467	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
468	#121	—	2	4	no	—
469	#121	—	2	2	no	—
470	#121	—	2	2	no	—
471	#121	—	2	4	no	—
472	#121	—	2	4	no	—
473	#121	D₄×C₁₉	1	2	yes	—
474	#121	C₂³×C₁₉	1	4	yes	—
475	#121	C₂³×C₁₉	1	4	yes	—
476	#121	C₂³×C₁₉	1	4	yes	—
477	#120	—	2	2	no	—
478	#120	—	2	2	no	—
479	#120	—	2	4	no	—
480	#120	—	2	4	no	—
481	#120	D₄×C₁₉	1	2	yes	—
482	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
483	C₄×D₄	—	2	4	no	—
484	C₄×D₄	—	2	4	no	—
485	C₄×D₄	C₂³×C₁₉	1	4	yes	—
486	C₄×D₄	C₂³×C₁₉	1	4	yes	—
487	#117	—	2	4	no	—
488	#117	C₂³×C₁₉	1	2	yes	—
489	#117	C₂³×C₁₉	1	2	yes	—
490	#117	C₂³×C₁₉	1	1	yes	characteristic
491	C₂×C₄⋊C₄	—	2	2	no	—
492	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
493	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
494	C₂×C₂²⋊C₄	—	2	2	no	—
495	C₂×C₂²⋊C₄	—	2	2	no	—
496	#107	C₂³×C₁₉	1	4	yes	—
497	#107	C₂³×C₁₉	1	4	yes	—
498	#106	C₂³×C₁₉	1	4	yes	—
499	#106	C₂³×C₁₉	1	4	yes	—
500	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
501	#103	C₂³×C₁₉	1	4	yes	—
502	#103	C₂³×C₁₉	1	4	yes	—
503	#103	C₂³×C₁₉	1	4	yes	—
504	#103	C₂³×C₁₉	1	4	yes	—
505	#102	C₂³×C₁₉	1	4	yes	—
506	#102	C₂³×C₁₉	1	4	yes	—
507	#102	C₂³×C₁₉	1	4	yes	—
508	#102	C₂³×C₁₉	1	4	yes	—
509	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
510	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
511	#97	C₂³×C₁₉	1	2	yes	—
512	C₄×C₈	C₂³×C₁₉	1	2	yes	—
513	C₁₉	#62268	1	1	yes	characteristic, direct product factor, Sylow
514	C₂⁴	—	2	2	no	—
515	C₂⁴	—	2	2	no	—
516	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
517	#41	—	4	1	no	—
518	#41	—	4	1	no	—
519	C₂×Q₈	—	2	2	no	—
520	C₂×Q₈	—	2	2	no	—
521	C₂×Q₈	—	4	2	no	—
522	C₂×Q₈	—	4	2	no	—
523	C₂×Q₈	—	4	2	no	—
524	C₂×Q₈	—	4	2	no	—
525	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
526	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
527	C₂×D₄	—	2	4	no	—
528	C₂×D₄	—	2	4	no	—
529	C₂×D₄	—	2	4	no	—
530	C₂×D₄	—	2	2	no	—
531	C₂×D₄	—	2	4	no	—
532	C₂×D₄	—	2	2	no	—
533	C₂×D₄	—	4	2	no	—
534	C₂×D₄	—	4	2	no	—
535	C₂×D₄	—	4	2	no	—
536	C₂×D₄	—	4	2	no	—
537	C₂×D₄	—	8	8	no	—
538	C₂×D₄	—	8	4	no	—
539	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
540	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
541	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
542	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
543	C₂²×C₄	—	2	2	no	—
544	C₂²×C₄	—	2	2	no	—
545	C₂²×C₄	—	2	2	no	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	4	no	—
548	C₂²×C₄	—	4	1	no	—
549	C₂²×C₄	—	4	1	no	—
550	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
551	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
552	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
553	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
554	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
555	SD₁₆	—	2	8	no	—
556	SD₁₆	—	4	4	no	—
557	SD₁₆	—	4	4	no	—
558	SD₁₆	—	4	4	no	—
559	M₁₆	—	4	1	no	—
560	M₁₆	—	4	2	no	—
561	M₁₆	—	4	1	no	—
562	C₂×C₈	—	2	2	no	—
563	C₂×C₈	—	2	4	no	—
564	C₂×C₈	—	2	4	no	—
565	C₂×C₈	—	4	2	no	—
566	C₂×C₈	—	4	1	no	—
567	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
568	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
569	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
570	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
571	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
572	C₄⋊C₄	—	2	4	no	—
573	C₄⋊C₄	—	2	4	no	—
574	C₄⋊C₄	—	2	2	no	—
575	C₄⋊C₄	—	2	2	no	—
576	C₄⋊C₄	—	2	4	no	—
577	C₄⋊C₄	—	2	4	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
582	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
583	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
584	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
585	C₂²⋊C₄	—	2	4	no	—
586	C₂²⋊C₄	—	2	4	no	—
587	C₂²⋊C₄	—	2	2	no	—
588	C₂²⋊C₄	—	2	2	no	—
589	C₂²⋊C₄	—	2	4	no	—
590	C₂²⋊C₄	—	2	4	no	—
591	C₂²⋊C₄	—	2	4	no	—
592	C₂²⋊C₄	—	2	4	no	—
593	C₂²⋊C₄	—	2	4	no	—
594	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
595	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
596	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
597	C₄²	—	2	2	no	—
598	C₄²	—	2	4	no	—
599	C₄²	—	2	2	no	—
600	C₄²	C₂⁴×C₁₉	1	2	yes	—
601	C₂³	—	2	4	no	—
602	C₂³	—	2	4	no	—
603	C₂³	—	4	1	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	8	2	no	—
606	C₂³	—	8	2	no	—
607	C₂³	—	8	2	no	—
608	C₂³	—	8	4	no	—
609	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
610	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
611	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
612	Q₈	—	2	4	no	—
613	Q₈	—	2	4	no	—
614	Q₈	—	4	1	no	—
615	Q₈	—	8	2	no	—
616	Q₈	—	8	2	no	—
617	D₄	—	2	8	no	—
618	D₄	—	2	4	no	—
619	D₄	—	2	4	no	—
620	D₄	—	4	1	no	—
621	D₄	—	4	2	no	—
622	D₄	—	4	8	no	—
623	D₄	—	8	2	no	—
624	D₄	—	8	2	no	—
625	D₄	—	8	4	no	—
626	D₄	—	8	4	no	—
627	D₄	—	8	4	no	—
628	C₂×C₄	—	2	1	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	1	no	—
632	C₂×C₄	—	2	2	no	—
633	C₂×C₄	—	2	2	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	4	no	—
637	C₂×C₄	—	4	2	no	—
638	C₂×C₄	—	4	1	no	—
639	C₂×C₄	—	4	4	no	—
640	C₂×C₄	—	8	4	no	—
641	C₂×C₄	—	8	2	no	—
642	C₂×C₄	—	8	2	no	—
643	C₂×C₄	—	8	2	no	—
644	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
645	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
646	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
647	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
648	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
649	C₈	—	2	1	no	—
650	C₈	—	2	2	no	—
651	C₈	—	2	2	no	—
652	C₈	—	2	2	no	—
653	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
654	C₂²	—	2	2	no	—
655	C₂²	—	2	2	no	—
656	C₂²	—	2	1	no	—
657	C₂²	—	2	2	no	—
658	C₂²	—	2	4	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	4	4	no	—
661	C₂²	—	4	4	no	—
662	C₂²	—	4	4	no	—
663	C₂²	—	4	4	no	—
664	C₂²	—	16	4	no	—
665	C₂²	—	16	4	no	—
666	C₂²	C₁₉×#577	1	4	yes	—
667	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
668	C₄	—	2	1	no	—
669	C₄	—	2	2	no	—
670	C₄	—	2	2	no	—
671	C₄	—	2	4	no	—
672	C₄	—	4	4	no	—
673	C₄	—	4	4	no	—
674	C₄	—	4	4	no	—
675	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
676	C₄	C₁₉×#585	1	1	yes	characteristic
677	C₂	—	2	4	no	—
678	C₂	—	4	1	no	—
679	C₂	—	4	2	no	—
680	C₂	—	8	4	no	—
681	C₂	C₁₉×#3496	1	1	yes	characteristic
682	C₂	C₂×C₁₉×#577	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#3537	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3538	C₂	semidirect
3. C₁₉×#3337	C₂	semidirect
4. C₁₉×#3320	C₂	semidirect
5. C₁₉×#3310	C₂	semidirect
6. D₄×SD₁₆×C₁₉	C₂	semidirect
7. C₁₉×#3260	C₂	semidirect
8. C₁₉×#3200	C₂	semidirect
9. C₁₉×#3193	C₂	semidirect
10. C₁₉×#3174	C₂	semidirect
11. C₁₉×#3057	C₂	semidirect
12. C₂×C₁₉×#465	C₂	semidirect
13. C₁₉×#2929	C₂	semidirect
14. C₂²×SD₁₆×C₁₉	C₂²	semidirect
15. C₂²×SD₁₆×C₁₉	C₂²	semidirect
16. C₂×C₁₉×#131	C₂²	semidirect
17. C₂³×C₈×C₁₉	C₂²	semidirect
21. C₁₉×#552	C₂²	semidirect
23. D₄×Q₈×C₁₉	C₂²	semidirect
27. C₁₉×#541	C₂²	semidirect
31. C₁₉×#536	C₂²	semidirect
35. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
37. C₁₉×#499	C₂²	semidirect
38. C₁₉×#492	C₂²	semidirect
39. C₁₉×#491	C₂²	semidirect
40. C₁₉×#490	C₂²	semidirect
41. C₁₉×#485	C₂²	semidirect
42. C₁₉×#484	C₂²	semidirect
43. C₁₉×#482	C₂²	semidirect
44. C₁₉×#480	C₂²	semidirect
45. C₁₉×#479	C₂²	semidirect
46. C₁₉×#478	C₂²	semidirect
47. C₁₉×#468	C₂²	semidirect
48. C₁₉×#468	C₂²	semidirect
49. C₁₉×#468	C₂²	semidirect
50. C₁₉×#465	C₂²	semidirect
51. C₁₉×#465	C₂²	semidirect
52. C₁₉×#465	C₂²	semidirect
53. C₁₉×#465	C₂²	semidirect
54. C₁₉×#465	C₂²	semidirect
55. C₁₉×#461	C₂²	semidirect
56. C₁₉×#460	C₂²	semidirect
57. C₁₉×#450	C₂²	semidirect
58. C₁₉×#450	C₂²	semidirect
59. C₁₉×#448	C₂²	semidirect
60. C₁₉×#448	C₂²	semidirect
61. C₁₉×#440	C₂²	semidirect
62. C₄×SD₁₆×C₁₉	C₂²	semidirect
63. C₁₉×#435	C₂²	semidirect
64. C₈×D₄×C₁₉	C₂²	semidirect
65. C₁₉×#427	C₂²	semidirect
66. C₂×C₁₉×#106	C₂²	semidirect
67. C₁₉×#424	C₂²	semidirect
68. C₁₉×#419	C₂²	semidirect
69. C₁₉×#418	C₂²	semidirect
70. C₂×C₁₉×#103	C₂²	semidirect
71. C₂×C₁₉×#102	C₂²	semidirect
72. C₁₉×#408	C₂²	semidirect
73. C₁₉×#407	C₂²	semidirect
74. C₁₉×#405	C₂²	semidirect
259. #62268	C₁₉	direct (N × H)
313. #3538	C₂×C₁₉	semidirect
315. #3337	C₂×C₁₉	semidirect
316. #3320	C₂×C₁₉	semidirect
317. #3310	C₂×C₁₉	semidirect
318. D₄×SD₁₆	C₂×C₁₉	semidirect
319. #3260	C₂×C₁₉	semidirect
320. #3200	C₂×C₁₉	semidirect
321. #3193	C₂×C₁₉	semidirect
322. #3174	C₂×C₁₉	semidirect
323. #3057	C₂×C₁₉	semidirect
324. C₂×#465	C₂×C₁₉	semidirect
325. #2929	C₂×C₁₉	semidirect
349. C₂²×SD₁₆	C₂²×C₁₉	semidirect
350. C₂²×SD₁₆	C₂²×C₁₉	semidirect
351. C₂×#131	C₂²×C₁₉	semidirect
352. C₂³×C₈	C₂²×C₁₉	semidirect
356. #552	C₂²×C₁₉	semidirect
358. D₄×Q₈	C₂²×C₁₉	semidirect
362. #541	C₂²×C₁₉	semidirect
366. #536	C₂²×C₁₉	semidirect
370. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
372. #499	C₂²×C₁₉	semidirect
373. #492	C₂²×C₁₉	semidirect
374. #491	C₂²×C₁₉	semidirect
375. #490	C₂²×C₁₉	semidirect
376. #485	C₂²×C₁₉	semidirect
377. #484	C₂²×C₁₉	semidirect
378. #482	C₂²×C₁₉	semidirect
379. #480	C₂²×C₁₉	semidirect
380. #479	C₂²×C₁₉	semidirect
381. #478	C₂²×C₁₉	semidirect
382. #468	C₂²×C₁₉	semidirect
383. #468	C₂²×C₁₉	semidirect
384. #468	C₂²×C₁₉	semidirect
385. #465	C₂²×C₁₉	semidirect
386. #465	C₂²×C₁₉	semidirect
387. #465	C₂²×C₁₉	semidirect
388. #465	C₂²×C₁₉	semidirect
389. #465	C₂²×C₁₉	semidirect
390. #461	C₂²×C₁₉	semidirect
391. #460	C₂²×C₁₉	semidirect
392. #450	C₂²×C₁₉	semidirect
393. #450	C₂²×C₁₉	semidirect
394. #448	C₂²×C₁₉	semidirect
395. #448	C₂²×C₁₉	semidirect
396. #440	C₂²×C₁₉	semidirect
397. C₄×SD₁₆	C₂²×C₁₉	semidirect
398. #435	C₂²×C₁₉	semidirect
399. C₈×D₄	C₂²×C₁₉	semidirect
400. #427	C₂²×C₁₉	semidirect
401. C₂×#106	C₂²×C₁₉	semidirect
402. #424	C₂²×C₁₉	semidirect
403. #419	C₂²×C₁₉	semidirect
404. #418	C₂²×C₁₉	semidirect
405. C₂×#103	C₂²×C₁₉	semidirect
406. C₂×#102	C₂²×C₁₉	semidirect
407. #408	C₂²×C₁₉	semidirect
408. #407	C₂²×C₁₉	semidirect
409. #405	C₂²×C₁₉	semidirect
513. C₁₉	#62268	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×#3538	2
C₁₉×#3537	2
C₁₉×#3337	2
C₁₉×#3320	2
C₁₉×#3310	2
D₄×SD₁₆×C₁₉	2
C₁₉×#3260	2
C₁₉×#3200	2
C₁₉×#3193	2
C₁₉×#3174	2
C₁₉×#3057	2
C₂×C₁₉×#465	2
C₁₉×#2929	2
#62268	19

Subgroups — C19×#62268 #18068227

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62268 #18068227