Subgroups — C₁₉×#62257 #18068216

Order 4864.

1988 conjugacy classes of subgroups.

The subgroup lattice has 1068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3519	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3347	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3346	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3319	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3318	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3314	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3309	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3268	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3191	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3188	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3186	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3180	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3055	C₂	1	2	yes	maximal, complemented
17	C₁₉×#3050	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
23	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₁₉×#555	C₂²	1	2	yes	complemented
26	C₁₉×#554	C₂²	1	2	yes	complemented
27	C₁₉×#553	—	2	2	no	—
28	C₁₉×#553	C₂²	1	2	yes	—
29	C₁₉×#553	C₂²	1	2	yes	complemented
30	C₁₉×#550	C₂²	1	2	yes	complemented
31	C₁₉×#546	—	2	2	no	—
32	C₁₉×#546	—	2	2	no	—
33	C₁₉×#546	C₂²	1	2	yes	—
34	C₁₉×#546	C₂²	1	2	yes	complemented
35	D₄²×C₁₉	—	2	2	no	—
36	D₄²×C₁₉	C₂²	1	2	yes	complemented
37	C₁₉×#540	—	2	2	no	—
38	C₁₉×#538	—	2	2	no	—
39	C₁₉×#538	—	2	2	no	—
40	C₁₉×#532	C₂²	1	2	yes	complemented
41	C₁₉×#529	C₂²	1	2	yes	complemented
42	C₁₉×#525	C₂²	1	2	yes	complemented
43	C₁₉×#525	C₂²	1	2	yes	complemented
44	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
45	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
46	C₁₉×#518	—	2	2	no	—
47	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
48	C₁₉×#501	C₂²	1	2	yes	complemented
49	C₁₉×#496	C₂²	1	2	yes	complemented
50	C₁₉×#490	C₂²	1	2	yes	complemented
51	C₁₉×#489	C₂²	1	2	yes	complemented
52	C₁₉×#485	C₂²	1	2	yes	complemented
53	C₁₉×#484	C₂²	1	2	yes	complemented
54	C₁₉×#482	C₂²	1	2	yes	complemented
55	C₁₉×#482	C₂²	1	2	yes	complemented
56	C₁₉×#482	C₂²	1	2	yes	complemented
57	C₁₉×#481	C₂²	1	2	yes	complemented
58	C₁₉×#480	C₂²	1	2	yes	complemented
59	C₁₉×#480	C₂²	1	2	yes	complemented
60	C₁₉×#479	C₂²	1	2	yes	complemented
61	C₁₉×#478	C₂²	1	2	yes	complemented
62	C₁₉×#474	C₂²	1	2	yes	complemented
63	C₁₉×#474	C₂²	1	2	yes	complemented
64	C₁₉×#469	C₂²	1	2	yes	complemented
65	C₁₉×#469	C₂²	1	2	yes	complemented
66	C₁₉×#468	C₂²	1	2	yes	complemented
67	C₁₉×#468	C₂²	1	2	yes	complemented
68	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
70	C₁₉×#466	C₂²	1	1	yes	characteristic
71	C₁₉×#466	C₂²	1	2	yes	complemented
72	C₁₉×#466	C₂²	1	2	yes	complemented
73	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#466	C₂²	1	2	yes	complemented
75	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
76	C₁₉×#466	C₂²	1	2	yes	complemented
77	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
79	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#465	C₂²	1	2	yes	complemented
81	C₁₉×#465	C₂²	1	2	yes	complemented
82	C₁₉×#465	C₂²	1	2	yes	complemented
83	C₁₉×#465	C₂²	1	2	yes	complemented
84	C₁₉×#464	C₂²	1	2	yes	complemented
85	C₁₉×#463	C₂²	1	2	yes	complemented
86	C₁₉×#459	C₂²	1	2	yes	complemented
87	C₁₉×#459	C₂²	1	2	yes	complemented
88	C₁₉×#452	C₂²	1	2	yes	complemented
89	C₁₉×#450	C₂²	1	2	yes	complemented
90	C₁₉×#449	C₂²	1	2	yes	complemented
91	C₁₉×#449	C₂²	1	2	yes	complemented
92	C₁₉×#449	C₂²	1	2	yes	complemented
93	C₁₉×#447	C₂²	1	2	yes	complemented
94	C₁₉×#447	C₂²	1	2	yes	complemented
95	C₁₉×#447	C₂²	1	2	yes	complemented
96	C₁₉×#442	C₂²	1	2	yes	complemented
97	C₁₉×#442	C₂²	1	2	yes	complemented
98	C₁₉×#440	C₂²	1	2	yes	complemented
99	C₁₉×#440	C₂²	1	2	yes	complemented
100	C₁₉×#435	C₂²	1	2	yes	complemented
101	C₁₉×#435	C₂²	1	2	yes	complemented
102	C₁₉×#435	C₂²	1	2	yes	complemented
103	C₁₉×#435	C₂²	1	2	yes	complemented
104	C₁₉×#428	C₂²	1	2	yes	complemented
105	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#418	C₂²	1	2	yes	complemented
109	C₁₉×#417	C₂²	1	2	yes	complemented
110	C₁₉×#416	C₂²	1	2	yes	complemented
111	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
112	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₁₉	—	2	2	no	—
116	C₂×#41×C₁₉	C₂³	1	2	yes	—
117	C₂×#41×C₁₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₉	—	2	2	no	—
119	C₂²×D₄×C₁₉	—	2	2	no	—
120	C₂²×D₄×C₁₉	—	2	2	no	—
121	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
122	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
123	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
126	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
127	C₁₉×#135	—	4	2	no	—
128	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
129	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
131	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
132	C₂×D₈×C₁₉	—	4	2	no	—
133	C₂×D₈×C₁₉	C₂³	1	2	yes	—
134	C₂×D₈×C₁₉	C₂³	1	2	yes	—
135	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
136	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
137	C₂×D₈×C₁₉	C₂³	1	2	yes	—
138	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
139	C₂×M₁₆×C₁₉	—	4	2	no	—
140	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
141	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
142	C₂²×C₈×C₁₉	—	4	2	no	—
143	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
151	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₁₉×#127	—	2	2	no	—
153	C₁₉×#127	C₂³	1	2	yes	—
154	C₁₉×#126	—	2	2	no	—
155	C₁₉×#126	—	2	2	no	—
156	C₁₉×#126	—	2	2	no	—
157	C₁₉×#125	—	2	2	no	—
158	C₁₉×#125	C₂³	1	2	yes	—
159	C₁₉×#124	—	2	2	no	—
160	C₁₉×#124	—	2	2	no	—
161	C₁₉×#124	—	2	2	no	—
162	C₁₉×#124	C₂³	1	2	yes	—
163	C₁₉×#123	—	2	2	no	—
164	C₁₉×#123	—	2	2	no	—
165	C₁₉×#123	—	2	2	no	—
166	C₁₉×#123	—	2	2	no	—
167	C₁₉×#123	—	2	2	no	—
168	C₁₉×#123	—	2	2	no	—
169	C₁₉×#123	—	2	2	no	—
170	C₁₉×C₂²⋊Q₈	—	2	2	no	—
171	C₁₉×C₂²⋊Q₈	—	2	2	no	—
172	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
173	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
174	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
175	C₁₉×#121	—	2	2	no	—
176	C₁₉×#121	—	2	2	no	—
177	C₁₉×#121	—	2	2	no	—
178	C₁₉×#121	—	2	2	no	—
179	C₁₉×#121	—	2	2	no	—
180	C₁₉×#121	—	2	2	no	—
181	C₁₉×#121	—	2	2	no	—
182	C₁₉×#121	—	2	2	no	—
183	C₁₉×#121	—	2	2	no	—
184	C₁₉×#121	—	2	2	no	—
185	C₁₉×#121	—	2	2	no	—
186	C₁₉×#121	—	2	2	no	—
187	C₁₉×#121	—	2	2	no	—
188	C₁₉×#121	C₂³	1	2	yes	—
189	C₁₉×#121	C₂³	1	2	yes	—
190	C₁₉×#121	C₂³	1	2	yes	—
191	C₁₉×#121	C₂³	1	2	yes	—
192	C₁₉×#121	C₂³	1	2	yes	—
193	C₁₉×#121	C₂³	1	2	yes	—
194	C₁₉×#121	C₂³	1	2	yes	—
195	C₁₉×#121	C₂³	1	2	yes	—
196	C₁₉×#121	C₂³	1	2	yes	—
197	C₁₉×#120	—	2	2	no	—
198	C₁₉×#120	—	2	2	no	—
199	C₁₉×#120	—	2	2	no	—
200	C₁₉×#120	—	2	2	no	—
201	C₁₉×#120	—	2	2	no	—
202	C₁₉×#120	—	2	2	no	—
203	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
204	C₄×D₄×C₁₉	—	2	2	no	—
205	C₄×D₄×C₁₉	—	2	2	no	—
206	C₄×D₄×C₁₉	—	2	2	no	—
207	C₄×D₄×C₁₉	—	2	2	no	—
208	C₄×D₄×C₁₉	—	2	2	no	—
209	C₄×D₄×C₁₉	—	2	2	no	—
210	C₄×D₄×C₁₉	—	2	2	no	—
211	C₄×D₄×C₁₉	—	2	2	no	—
212	C₄×D₄×C₁₉	—	2	2	no	—
213	C₄×D₄×C₁₉	—	2	2	no	—
214	C₄×D₄×C₁₉	D₄	1	2	yes	—
215	C₄×D₄×C₁₉	D₄	1	2	yes	—
216	C₄×D₄×C₁₉	C₂³	1	2	yes	—
217	C₄×D₄×C₁₉	C₂³	1	2	yes	—
218	C₄×D₄×C₁₉	C₂³	1	2	yes	—
219	C₄×D₄×C₁₉	C₂³	1	2	yes	—
220	C₄×D₄×C₁₉	C₂³	1	2	yes	—
221	C₁₉×#117	—	2	2	no	—
222	C₁₉×#117	—	2	2	no	—
223	C₁₉×#117	C₂³	1	2	yes	—
224	C₁₉×#117	C₂³	1	2	yes	—
225	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
227	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
229	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
230	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
231	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
232	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
233	C₂×C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
234	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
235	C₁₉×#107	C₂³	1	2	yes	—
236	C₁₉×#107	C₂³	1	1	yes	characteristic
237	C₁₉×#107	C₂³	1	1	yes	characteristic
238	C₁₉×#107	C₂³	1	1	yes	characteristic
239	C₁₉×#107	C₂³	1	1	yes	characteristic
240	C₁₉×#107	C₂³	1	2	yes	—
241	C₁₉×#107	C₂³	1	2	yes	—
242	C₁₉×#106	C₂³	1	2	yes	—
243	C₁₉×#106	C₂³	1	2	yes	—
244	C₁₉×#106	C₂³	1	2	yes	—
245	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
246	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
247	C₁₉×#103	C₂³	1	2	yes	—
248	C₁₉×#103	C₂³	1	2	yes	—
249	C₁₉×#103	C₂³	1	2	yes	—
250	C₁₉×#103	C₂³	1	2	yes	—
251	C₁₉×#102	C₂³	1	2	yes	—
252	C₁₉×#102	C₂³	1	2	yes	—
253	C₁₉×#102	C₂³	1	2	yes	—
254	C₁₉×#102	C₂³	1	2	yes	—
255	C₁₉×#102	C₂³	1	2	yes	—
256	C₁₉×#102	C₂³	1	2	yes	—
257	C₁₉×#102	C₂³	1	2	yes	—
258	C₁₉×#102	C₂³	1	2	yes	—
259	C₁₉×#102	C₂³	1	2	yes	—
260	C₁₉×#102	C₂³	1	2	yes	—
261	C₁₉×#102	C₂³	1	2	yes	—
262	C₁₉×#102	C₂³	1	2	yes	—
263	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
264	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
265	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
266	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
267	C₁₉×#97	C₂³	1	2	yes	—
268	C₁₉×#97	C₂³	1	2	yes	—
269	C₂⁴×C₁₉	—	2	2	no	—
270	C₂⁴×C₁₉	—	2	2	no	—
271	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
272	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
273	#41×C₁₉	—	4	2	no	—
274	#41×C₁₉	—	4	2	no	—
275	#41×C₁₉	—	4	2	no	—
276	#41×C₁₉	—	4	2	no	—
277	#41×C₁₉	—	8	4	no	—
278	C₂×Q₈×C₁₉	—	2	2	no	—
279	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
280	C₂×D₄×C₁₉	—	2	2	no	—
281	C₂×D₄×C₁₉	—	2	2	no	—
282	C₂×D₄×C₁₉	—	2	2	no	—
283	C₂×D₄×C₁₉	—	2	2	no	—
284	C₂×D₄×C₁₉	—	2	2	no	—
285	C₂×D₄×C₁₉	—	2	2	no	—
286	C₂×D₄×C₁₉	—	2	2	no	—
287	C₂×D₄×C₁₉	—	2	2	no	—
288	C₂×D₄×C₁₉	—	2	2	no	—
289	C₂×D₄×C₁₉	—	2	2	no	—
290	C₂×D₄×C₁₉	—	2	2	no	—
291	C₂×D₄×C₁₉	—	2	2	no	—
292	C₂×D₄×C₁₉	—	2	2	no	—
293	C₂×D₄×C₁₉	—	2	2	no	—
294	C₂×D₄×C₁₉	—	2	2	no	—
295	C₂×D₄×C₁₉	—	4	2	no	—
296	C₂×D₄×C₁₉	—	4	2	no	—
297	C₂×D₄×C₁₉	—	4	2	no	—
298	C₂×D₄×C₁₉	—	4	2	no	—
299	C₂×D₄×C₁₉	—	4	2	no	—
300	C₂×D₄×C₁₉	—	4	8	no	—
301	C₂×D₄×C₁₉	—	8	4	no	—
302	C₂×D₄×C₁₉	—	8	4	no	—
303	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
304	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
305	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
306	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
307	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₉	—	2	2	no	—
309	C₂²×C₄×C₁₉	—	2	2	no	—
310	C₂²×C₄×C₁₉	—	2	2	no	—
311	C₂²×C₄×C₁₉	—	2	2	no	—
312	C₂²×C₄×C₁₉	—	2	2	no	—
313	C₂²×C₄×C₁₉	—	2	2	no	—
314	C₂²×C₄×C₁₉	—	2	2	no	—
315	C₂²×C₄×C₁₉	—	4	1	no	—
316	C₂²×C₄×C₁₉	—	4	1	no	—
317	C₂²×C₄×C₁₉	—	4	1	no	—
318	C₂²×C₄×C₁₉	—	4	1	no	—
319	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
323	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
324	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
330	Q₁₆×C₁₉	—	4	1	no	—
331	SD₁₆×C₁₉	—	2	4	no	—
332	SD₁₆×C₁₉	—	4	2	no	—
333	SD₁₆×C₁₉	—	4	2	no	—
334	D₈×C₁₉	—	2	4	no	—
335	D₈×C₁₉	—	4	1	no	—
336	D₈×C₁₉	—	4	1	no	—
337	D₈×C₁₉	—	4	2	no	—
338	D₈×C₁₉	—	4	1	no	—
339	D₈×C₁₉	—	4	2	no	—
340	M₁₆×C₁₉	—	2	4	no	—
341	M₁₆×C₁₉	—	4	2	no	—
342	C₂×C₈×C₁₉	—	2	2	no	—
343	C₂×C₈×C₁₉	—	2	2	no	—
344	C₂×C₈×C₁₉	—	2	2	no	—
345	C₂×C₈×C₁₉	—	4	1	no	—
346	C₂×C₈×C₁₉	—	4	1	no	—
347	C₂×C₈×C₁₉	—	4	1	no	—
348	C₂×C₈×C₁₉	—	4	1	no	—
349	C₂×C₈×C₁₉	—	4	1	no	—
350	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
354	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
355	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
356	C₄⋊C₄×C₁₉	—	2	2	no	—
357	C₄⋊C₄×C₁₉	—	2	2	no	—
358	C₄⋊C₄×C₁₉	—	2	2	no	—
359	C₄⋊C₄×C₁₉	—	2	2	no	—
360	C₄⋊C₄×C₁₉	—	2	2	no	—
361	C₄⋊C₄×C₁₉	—	2	2	no	—
362	C₄⋊C₄×C₁₉	—	2	2	no	—
363	C₄⋊C₄×C₁₉	—	2	2	no	—
364	C₄⋊C₄×C₁₉	—	2	2	no	—
365	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
366	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
367	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
370	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
371	C₂²⋊C₄×C₁₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₉	—	2	2	no	—
374	C₂²⋊C₄×C₁₉	—	2	2	no	—
375	C₂²⋊C₄×C₁₉	—	2	2	no	—
376	C₂²⋊C₄×C₁₉	—	2	2	no	—
377	C₂²⋊C₄×C₁₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₉	—	2	2	no	—
380	C₂²⋊C₄×C₁₉	—	2	2	no	—
381	C₂²⋊C₄×C₁₉	—	2	2	no	—
382	C₂²⋊C₄×C₁₉	—	2	2	no	—
383	C₂²⋊C₄×C₁₉	—	2	2	no	—
384	C₂²⋊C₄×C₁₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₉	—	2	2	no	—
386	C₂²⋊C₄×C₁₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₉	—	2	2	no	—
388	C₂²⋊C₄×C₁₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
394	C₄²×C₁₉	—	2	2	no	—
395	C₄²×C₁₉	—	2	2	no	—
396	C₄²×C₁₉	—	2	2	no	—
397	C₄²×C₁₉	C₂×D₄	1	2	yes	—
398	C₄²×C₁₉	C₂⁴	1	2	yes	—
399	#62257	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
400	C₂³×C₁₉	—	2	2	no	—
401	C₂³×C₁₉	—	2	2	no	—
402	C₂³×C₁₉	—	2	2	no	—
403	C₂³×C₁₉	—	2	2	no	—
404	C₂³×C₁₉	—	2	2	no	—
405	C₂³×C₁₉	—	2	2	no	—
406	C₂³×C₁₉	—	4	1	no	—
407	C₂³×C₁₉	—	4	1	no	—
408	C₂³×C₁₉	—	4	1	no	—
409	C₂³×C₁₉	—	4	4	no	—
410	C₂³×C₁₉	—	4	4	no	—
411	C₂³×C₁₉	—	8	2	no	—
412	C₂³×C₁₉	—	8	2	no	—
413	C₂³×C₁₉	—	8	2	no	—
414	C₂³×C₁₉	—	8	2	no	—
415	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
416	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
417	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
418	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
419	Q₈×C₁₉	—	2	2	no	—
420	Q₈×C₁₉	—	2	2	no	—
421	Q₈×C₁₉	—	8	2	no	—
422	D₄×C₁₉	—	2	4	no	—
423	D₄×C₁₉	—	2	2	no	—
424	D₄×C₁₉	—	2	2	no	—
425	D₄×C₁₉	—	2	2	no	—
426	D₄×C₁₉	—	2	2	no	—
427	D₄×C₁₉	—	2	2	no	—
428	D₄×C₁₉	—	2	2	no	—
429	D₄×C₁₉	—	4	2	no	—
430	D₄×C₁₉	—	4	4	no	—
431	D₄×C₁₉	—	4	4	no	—
432	D₄×C₁₉	—	4	4	no	—
433	D₄×C₁₉	—	4	4	no	—
434	D₄×C₁₉	—	4	4	no	—
435	D₄×C₁₉	—	4	4	no	—
436	D₄×C₁₉	—	8	2	no	—
437	D₄×C₁₉	—	8	2	no	—
438	D₄×C₁₉	—	8	2	no	—
439	D₄×C₁₉	—	8	2	no	—
440	D₄×C₁₉	—	8	2	no	—
441	D₄×C₁₉	—	8	2	no	—
442	D₄×C₁₉	—	8	2	no	—
443	D₄×C₁₉	—	8	2	no	—
444	D₄×C₁₉	—	8	2	no	—
445	C₂×C₄×C₁₉	—	2	2	no	—
446	C₂×C₄×C₁₉	—	2	1	no	—
447	C₂×C₄×C₁₉	—	2	1	no	—
448	C₂×C₄×C₁₉	—	2	1	no	—
449	C₂×C₄×C₁₉	—	2	2	no	—
450	C₂×C₄×C₁₉	—	2	1	no	—
451	C₂×C₄×C₁₉	—	2	1	no	—
452	C₂×C₄×C₁₉	—	2	2	no	—
453	C₂×C₄×C₁₉	—	2	1	no	—
454	C₂×C₄×C₁₉	—	2	2	no	—
455	C₂×C₄×C₁₉	—	2	2	no	—
456	C₂×C₄×C₁₉	—	2	2	no	—
457	C₂×C₄×C₁₉	—	2	2	no	—
458	C₂×C₄×C₁₉	—	2	2	no	—
459	C₂×C₄×C₁₉	—	4	1	no	—
460	C₂×C₄×C₁₉	—	4	2	no	—
461	C₂×C₄×C₁₉	—	4	1	no	—
462	C₂×C₄×C₁₉	—	4	1	no	—
463	C₂×C₄×C₁₉	—	4	1	no	—
464	C₂×C₄×C₁₉	—	4	1	no	—
465	C₂×C₄×C₁₉	—	4	4	no	—
466	C₂×C₄×C₁₉	—	8	2	no	—
467	C₂×C₄×C₁₉	—	8	2	no	—
468	C₂×C₄×C₁₉	—	8	2	no	—
469	C₂×C₄×C₁₉	—	8	2	no	—
470	C₂×C₄×C₁₉	—	8	2	no	—
471	C₂×C₄×C₁₉	—	8	2	no	—
472	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
475	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
477	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
479	C₈×C₁₉	—	2	1	no	—
480	C₈×C₁₉	—	2	1	no	—
481	C₈×C₁₉	—	2	1	no	—
482	C₈×C₁₉	—	2	2	no	—
483	C₈×C₁₉	—	2	2	no	—
484	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
485	#3519	C₂×C₁₉	1	2	yes	complemented
486	#3347	C₂×C₁₉	1	2	yes	complemented
487	#3346	C₂×C₁₉	1	2	yes	complemented
488	#3319	C₂×C₁₉	1	2	yes	complemented
489	#3318	C₂×C₁₉	1	2	yes	complemented
490	#3314	C₂×C₁₉	1	2	yes	complemented
491	#3309	C₂×C₁₉	1	2	yes	complemented
492	#3268	C₂×C₁₉	1	2	yes	complemented
493	#3264	C₂×C₁₉	1	2	yes	complemented
494	#3250	C₂×C₁₉	1	1	yes	characteristic, complemented
495	#3245	C₂×C₁₉	1	1	yes	characteristic, complemented
496	#3191	C₂×C₁₉	1	1	yes	characteristic, complemented
497	#3188	C₂×C₁₉	1	2	yes	complemented
498	#3186	C₂×C₁₉	1	1	yes	characteristic, complemented
499	#3180	C₂×C₁₉	1	2	yes	complemented
500	#3055	C₂×C₁₉	1	2	yes	complemented
501	#3050	C₂×C₁₉	1	1	yes	characteristic, complemented
502	C₂×#466	C₂×C₁₉	1	1	yes	characteristic, complemented
503	C₂×#435	C₂×C₁₉	1	1	yes	characteristic, complemented
504	C₂²×C₁₉	—	2	1	no	—
505	C₂²×C₁₉	—	2	1	no	—
506	C₂²×C₁₉	—	2	1	no	—
507	C₂²×C₁₉	—	2	1	no	—
508	C₂²×C₁₉	—	2	1	no	—
509	C₂²×C₁₉	—	2	2	no	—
510	C₂²×C₁₉	—	2	2	no	—
511	C₂²×C₁₉	—	2	1	no	—
512	C₂²×C₁₉	—	2	2	no	—
513	C₂²×C₁₉	—	2	1	no	—
514	C₂²×C₁₉	—	4	4	no	—
515	C₂²×C₁₉	—	4	2	no	—
516	C₂²×C₁₉	—	4	2	no	—
517	C₂²×C₁₉	—	4	2	no	—
518	C₂²×C₁₉	—	4	2	no	—
519	C₂²×C₁₉	—	4	2	no	—
520	C₂²×C₁₉	—	4	2	no	—
521	C₂²×C₁₉	—	4	2	no	—
522	C₂²×C₁₉	—	4	2	no	—
523	C₂²×C₁₉	—	4	2	no	—
524	C₂²×C₁₉	—	8	2	no	—
525	C₂²×C₁₉	—	16	4	no	—
526	C₂²×C₁₉	—	16	4	no	—
527	C₂²×C₁₉	#575	1	2	yes	—
528	C₂²×C₁₉	#576	1	2	yes	—
529	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
530	C₄×C₁₉	—	2	1	no	—
531	C₄×C₁₉	—	2	1	no	—
532	C₄×C₁₉	—	2	2	no	—
533	C₄×C₁₉	—	2	1	no	—
534	C₄×C₁₉	—	2	2	no	—
535	C₄×C₁₉	—	2	2	no	—
536	C₄×C₁₉	—	4	2	no	—
537	C₄×C₁₉	—	4	2	no	—
538	C₄×C₁₉	—	4	2	no	—
539	C₄×C₁₉	—	4	2	no	—
540	C₄×C₁₉	—	4	2	no	—
541	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
542	C₄×C₁₉	#585	1	1	yes	characteristic
543	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
544	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
545	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
546	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
547	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
548	#555	C₂²×C₁₉	1	2	yes	complemented
549	#554	C₂²×C₁₉	1	2	yes	complemented
550	#553	—	2	2	no	—
551	#553	C₂²×C₁₉	1	2	yes	—
552	#553	C₂²×C₁₉	1	2	yes	complemented
553	#550	C₂²×C₁₉	1	2	yes	complemented
554	#546	—	2	2	no	—
555	#546	—	2	2	no	—
556	#546	C₂²×C₁₉	1	2	yes	—
557	#546	C₂²×C₁₉	1	2	yes	complemented
558	D₄²	—	2	2	no	—
559	D₄²	C₂²×C₁₉	1	2	yes	complemented
560	#540	—	2	2	no	—
561	#538	—	2	2	no	—
562	#538	—	2	2	no	—
563	#532	C₂²×C₁₉	1	2	yes	complemented
564	#529	C₂²×C₁₉	1	2	yes	complemented
565	#525	C₂²×C₁₉	1	2	yes	complemented
566	#525	C₂²×C₁₉	1	2	yes	complemented
567	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
568	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
569	#518	—	2	2	no	—
570	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
571	#501	C₂²×C₁₉	1	2	yes	complemented
572	#496	C₂²×C₁₉	1	2	yes	complemented
573	#490	C₂²×C₁₉	1	2	yes	complemented
574	#489	C₂²×C₁₉	1	2	yes	complemented
575	#485	C₂²×C₁₉	1	2	yes	complemented
576	#484	C₂²×C₁₉	1	2	yes	complemented
577	#482	C₂²×C₁₉	1	2	yes	complemented
578	#482	C₂²×C₁₉	1	2	yes	complemented
579	#482	C₂²×C₁₉	1	2	yes	complemented
580	#481	C₂²×C₁₉	1	2	yes	complemented
581	#480	C₂²×C₁₉	1	2	yes	complemented
582	#480	C₂²×C₁₉	1	2	yes	complemented
583	#479	C₂²×C₁₉	1	2	yes	complemented
584	#478	C₂²×C₁₉	1	2	yes	complemented
585	#474	C₂²×C₁₉	1	2	yes	complemented
586	#474	C₂²×C₁₉	1	2	yes	complemented
587	#469	C₂²×C₁₉	1	2	yes	complemented
588	#469	C₂²×C₁₉	1	2	yes	complemented
589	#468	C₂²×C₁₉	1	2	yes	complemented
590	#468	C₂²×C₁₉	1	2	yes	complemented
591	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
592	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
593	#466	C₂²×C₁₉	1	1	yes	characteristic
594	#466	C₂²×C₁₉	1	2	yes	complemented
595	#466	C₂²×C₁₉	1	2	yes	complemented
596	#466	C₂²×C₁₉	1	2	yes	complemented
597	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
598	#466	C₂²×C₁₉	1	2	yes	complemented
599	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
600	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
601	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
602	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
603	#465	C₂²×C₁₉	1	2	yes	complemented
604	#465	C₂²×C₁₉	1	2	yes	complemented
605	#465	C₂²×C₁₉	1	2	yes	complemented
606	#465	C₂²×C₁₉	1	2	yes	complemented
607	#464	C₂²×C₁₉	1	2	yes	complemented
608	#463	C₂²×C₁₉	1	2	yes	complemented
609	#459	C₂²×C₁₉	1	2	yes	complemented
610	#459	C₂²×C₁₉	1	2	yes	complemented
611	#452	C₂²×C₁₉	1	2	yes	complemented
612	#450	C₂²×C₁₉	1	2	yes	complemented
613	#449	C₂²×C₁₉	1	2	yes	complemented
614	#449	C₂²×C₁₉	1	2	yes	complemented
615	#449	C₂²×C₁₉	1	2	yes	complemented
616	#447	C₂²×C₁₉	1	2	yes	complemented
617	#447	C₂²×C₁₉	1	2	yes	complemented
618	#447	C₂²×C₁₉	1	2	yes	complemented
619	#442	C₂²×C₁₉	1	2	yes	complemented
620	#442	C₂²×C₁₉	1	2	yes	complemented
621	#440	C₂²×C₁₉	1	2	yes	complemented
622	#440	C₂²×C₁₉	1	2	yes	complemented
623	#435	C₂²×C₁₉	1	2	yes	complemented
624	#435	C₂²×C₁₉	1	2	yes	complemented
625	#435	C₂²×C₁₉	1	2	yes	complemented
626	#435	C₂²×C₁₉	1	2	yes	complemented
627	#428	C₂²×C₁₉	1	2	yes	complemented
628	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
629	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
630	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
631	#418	C₂²×C₁₉	1	2	yes	complemented
632	#417	C₂²×C₁₉	1	2	yes	complemented
633	#416	C₂²×C₁₉	1	2	yes	complemented
634	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
635	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
636	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
637	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic, complemented
638	C₂×C₁₉	—	2	2	no	—
639	C₂×C₁₉	—	2	2	no	—
640	C₂×C₁₉	—	4	1	no	—
641	C₂×C₁₉	—	4	2	no	—
642	C₂×C₁₉	—	8	2	no	—
643	C₂×C₁₉	—	8	2	no	—
644	C₂×C₁₉	—	8	2	no	—
645	C₂×C₁₉	#3496	1	1	yes	characteristic
646	C₂×C₁₉	C₂×#575	1	1	yes	characteristic
647	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
648	C₂×#41	—	2	2	no	—
649	C₂×#41	C₂³×C₁₉	1	2	yes	—
650	C₂×#41	C₂³×C₁₉	1	2	yes	—
651	C₂²×D₄	—	2	2	no	—
652	C₂²×D₄	—	2	2	no	—
653	C₂²×D₄	—	2	2	no	—
654	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
655	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
656	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
657	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
658	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
659	AGL(1,ℤ/8)	—	4	4	no	—
660	#135	—	4	2	no	—
661	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
662	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
663	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
664	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
665	C₂×D₈	—	4	2	no	—
666	C₂×D₈	C₂³×C₁₉	1	2	yes	—
667	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
668	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
669	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
670	C₂×D₈	C₂³×C₁₉	1	2	yes	—
671	C₂×D₈	C₂³×C₁₉	1	2	yes	—
672	C₂×M₁₆	—	4	2	no	—
673	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
674	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
675	C₂²×C₈	—	4	2	no	—
676	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
677	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
678	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
679	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
680	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
681	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
682	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
683	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
684	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
685	#127	—	2	2	no	—
686	#127	C₂³×C₁₉	1	2	yes	—
687	#126	—	2	2	no	—
688	#126	—	2	2	no	—
689	#126	—	2	2	no	—
690	#125	—	2	2	no	—
691	#125	C₂³×C₁₉	1	2	yes	—
692	#124	—	2	2	no	—
693	#124	—	2	2	no	—
694	#124	—	2	2	no	—
695	#124	C₂³×C₁₉	1	2	yes	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	—	2	2	no	—
700	#123	—	2	2	no	—
701	#123	—	2	2	no	—
702	#123	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
706	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
707	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	C₂³×C₁₉	1	2	yes	—
722	#121	C₂³×C₁₉	1	2	yes	—
723	#121	C₂³×C₁₉	1	2	yes	—
724	#121	C₂³×C₁₉	1	2	yes	—
725	#121	C₂³×C₁₉	1	2	yes	—
726	#121	C₂³×C₁₉	1	2	yes	—
727	#121	C₂³×C₁₉	1	2	yes	—
728	#121	C₂³×C₁₉	1	2	yes	—
729	#121	C₂³×C₁₉	1	2	yes	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	#120	—	2	2	no	—
734	#120	—	2	2	no	—
735	#120	—	2	2	no	—
736	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	2	no	—
739	C₄×D₄	—	2	2	no	—
740	C₄×D₄	—	2	2	no	—
741	C₄×D₄	—	2	2	no	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	2	no	—
746	C₄×D₄	—	2	2	no	—
747	C₄×D₄	D₄×C₁₉	1	2	yes	—
748	C₄×D₄	D₄×C₁₉	1	2	yes	—
749	C₄×D₄	C₂³×C₁₉	1	2	yes	—
750	C₄×D₄	C₂³×C₁₉	1	2	yes	—
751	C₄×D₄	C₂³×C₁₉	1	2	yes	—
752	C₄×D₄	C₂³×C₁₉	1	2	yes	—
753	C₄×D₄	C₂³×C₁₉	1	2	yes	—
754	#117	—	2	2	no	—
755	#117	—	2	2	no	—
756	#117	C₂³×C₁₉	1	2	yes	—
757	#117	C₂³×C₁₉	1	2	yes	—
758	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
760	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
761	C₂×C₂²⋊C₄	—	2	2	no	—
762	C₂×C₂²⋊C₄	—	2	2	no	—
763	C₂×C₂²⋊C₄	—	2	2	no	—
764	C₂×C₂²⋊C₄	—	2	2	no	—
765	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
767	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
768	#107	C₂³×C₁₉	1	2	yes	—
769	#107	C₂³×C₁₉	1	1	yes	characteristic
770	#107	C₂³×C₁₉	1	1	yes	characteristic
771	#107	C₂³×C₁₉	1	1	yes	characteristic
772	#107	C₂³×C₁₉	1	1	yes	characteristic
773	#107	C₂³×C₁₉	1	2	yes	—
774	#107	C₂³×C₁₉	1	2	yes	—
775	#106	C₂³×C₁₉	1	2	yes	—
776	#106	C₂³×C₁₉	1	2	yes	—
777	#106	C₂³×C₁₉	1	2	yes	—
778	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
779	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
780	#103	C₂³×C₁₉	1	2	yes	—
781	#103	C₂³×C₁₉	1	2	yes	—
782	#103	C₂³×C₁₉	1	2	yes	—
783	#103	C₂³×C₁₉	1	2	yes	—
784	#102	C₂³×C₁₉	1	2	yes	—
785	#102	C₂³×C₁₉	1	2	yes	—
786	#102	C₂³×C₁₉	1	2	yes	—
787	#102	C₂³×C₁₉	1	2	yes	—
788	#102	C₂³×C₁₉	1	2	yes	—
789	#102	C₂³×C₁₉	1	2	yes	—
790	#102	C₂³×C₁₉	1	2	yes	—
791	#102	C₂³×C₁₉	1	2	yes	—
792	#102	C₂³×C₁₉	1	2	yes	—
793	#102	C₂³×C₁₉	1	2	yes	—
794	#102	C₂³×C₁₉	1	2	yes	—
795	#102	C₂³×C₁₉	1	2	yes	—
796	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
797	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
798	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
799	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
800	#97	C₂³×C₁₉	1	2	yes	—
801	#97	C₂³×C₁₉	1	2	yes	—
802	C₁₉	#62257	1	1	yes	characteristic, direct product factor, Sylow
803	C₂⁴	—	2	2	no	—
804	C₂⁴	—	2	2	no	—
805	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
806	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
807	#41	—	4	2	no	—
808	#41	—	4	2	no	—
809	#41	—	4	2	no	—
810	#41	—	4	2	no	—
811	#41	—	8	4	no	—
812	C₂×Q₈	—	2	2	no	—
813	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	4	8	no	—
835	C₂×D₄	—	8	4	no	—
836	C₂×D₄	—	8	4	no	—
837	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
838	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
839	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
840	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
841	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	—	4	1	no	—
851	C₂²×C₄	—	4	1	no	—
852	C₂²×C₄	—	4	1	no	—
853	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
854	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
855	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
856	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
857	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
858	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
859	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
864	Q₁₆	—	4	1	no	—
865	SD₁₆	—	2	4	no	—
866	SD₁₆	—	4	2	no	—
867	SD₁₆	—	4	2	no	—
868	D₈	—	2	4	no	—
869	D₈	—	4	1	no	—
870	D₈	—	4	1	no	—
871	D₈	—	4	2	no	—
872	D₈	—	4	1	no	—
873	D₈	—	4	2	no	—
874	M₁₆	—	2	4	no	—
875	M₁₆	—	4	2	no	—
876	C₂×C₈	—	2	2	no	—
877	C₂×C₈	—	2	2	no	—
878	C₂×C₈	—	2	2	no	—
879	C₂×C₈	—	4	1	no	—
880	C₂×C₈	—	4	1	no	—
881	C₂×C₈	—	4	1	no	—
882	C₂×C₈	—	4	1	no	—
883	C₂×C₈	—	4	1	no	—
884	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
885	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
886	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
887	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
888	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
889	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	2	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
900	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
901	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
902	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
903	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
904	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
925	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
926	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
927	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
928	C₄²	—	2	2	no	—
929	C₄²	—	2	2	no	—
930	C₄²	—	2	2	no	—
931	C₄²	C₂×D₄×C₁₉	1	2	yes	—
932	C₄²	C₂⁴×C₁₉	1	2	yes	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	4	1	no	—
940	C₂³	—	4	1	no	—
941	C₂³	—	4	1	no	—
942	C₂³	—	4	4	no	—
943	C₂³	—	4	4	no	—
944	C₂³	—	8	2	no	—
945	C₂³	—	8	2	no	—
946	C₂³	—	8	2	no	—
947	C₂³	—	8	2	no	—
948	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
949	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
950	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
951	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
952	Q₈	—	2	2	no	—
953	Q₈	—	2	2	no	—
954	Q₈	—	8	2	no	—
955	D₄	—	2	4	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	2	2	no	—
960	D₄	—	2	2	no	—
961	D₄	—	2	2	no	—
962	D₄	—	4	2	no	—
963	D₄	—	4	4	no	—
964	D₄	—	4	4	no	—
965	D₄	—	4	4	no	—
966	D₄	—	4	4	no	—
967	D₄	—	4	4	no	—
968	D₄	—	4	4	no	—
969	D₄	—	8	2	no	—
970	D₄	—	8	2	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	2	no	—
975	D₄	—	8	2	no	—
976	D₄	—	8	2	no	—
977	D₄	—	8	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	4	1	no	—
993	C₂×C₄	—	4	2	no	—
994	C₂×C₄	—	4	1	no	—
995	C₂×C₄	—	4	1	no	—
996	C₂×C₄	—	4	1	no	—
997	C₂×C₄	—	4	1	no	—
998	C₂×C₄	—	4	4	no	—
999	C₂×C₄	—	8	2	no	—
1000	C₂×C₄	—	8	2	no	—
1001	C₂×C₄	—	8	2	no	—
1002	C₂×C₄	—	8	2	no	—
1003	C₂×C₄	—	8	2	no	—
1004	C₂×C₄	—	8	2	no	—
1005	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1007	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1008	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1010	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1011	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1012	C₈	—	2	1	no	—
1013	C₈	—	2	1	no	—
1014	C₈	—	2	1	no	—
1015	C₈	—	2	2	no	—
1016	C₈	—	2	2	no	—
1017	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	2	1	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	1	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	2	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	4	4	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	2	no	—
1036	C₂²	—	4	2	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	8	2	no	—
1039	C₂²	—	16	4	no	—
1040	C₂²	—	16	4	no	—
1041	C₂²	C₁₉×#575	1	2	yes	—
1042	C₂²	C₁₉×#576	1	2	yes	—
1043	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1044	C₄	—	2	1	no	—
1045	C₄	—	2	1	no	—
1046	C₄	—	2	2	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	2	2	no	—
1049	C₄	—	2	2	no	—
1050	C₄	—	4	2	no	—
1051	C₄	—	4	2	no	—
1052	C₄	—	4	2	no	—
1053	C₄	—	4	2	no	—
1054	C₄	—	4	2	no	—
1055	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1056	C₄	C₁₉×#585	1	1	yes	characteristic
1057	C₂	—	2	2	no	—
1058	C₂	—	2	2	no	—
1059	C₂	—	4	1	no	—
1060	C₂	—	4	2	no	—
1061	C₂	—	8	2	no	—
1062	C₂	—	8	2	no	—
1063	C₂	—	8	2	no	—
1064	C₂	C₁₉×#3496	1	1	yes	characteristic
1065	C₂	C₂×C₁₉×#575	1	1	yes	characteristic
1066	C₂	C₂×C₁₉×#576	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×#3519	C₂	semidirect
2. C₁₉×#3347	C₂	semidirect
3. C₁₉×#3346	C₂	semidirect
4. C₁₉×#3319	C₂	semidirect
5. C₁₉×#3318	C₂	semidirect
6. C₁₉×#3314	C₂	semidirect
7. C₁₉×#3309	C₂	semidirect
8. C₁₉×#3268	C₂	semidirect
9. C₁₉×#3264	C₂	semidirect
10. C₁₉×#3250	C₂	semidirect
11. C₁₉×#3245	C₂	semidirect
12. C₁₉×#3191	C₂	semidirect
13. C₁₉×#3188	C₂	semidirect
14. C₁₉×#3186	C₂	semidirect
15. C₁₉×#3180	C₂	semidirect
16. C₁₉×#3055	C₂	semidirect
17. C₁₉×#3050	C₂	semidirect
18. C₂×C₁₉×#466	C₂	semidirect
19. C₂×C₁₉×#435	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₉×#135	C₂²	semidirect
22. C₂²×D₈×C₁₉	C₂²	semidirect
23. C₂²×M₁₆×C₁₉	C₂²	semidirect
24. C₂³×C₈×C₁₉	C₂²	semidirect
25. C₁₉×#555	C₂²	semidirect
26. C₁₉×#554	C₂²	semidirect
29. C₁₉×#553	C₂²	semidirect
30. C₁₉×#550	C₂²	semidirect
34. C₁₉×#546	C₂²	semidirect
36. D₄²×C₁₉	C₂²	semidirect
40. C₁₉×#532	C₂²	semidirect
41. C₁₉×#529	C₂²	semidirect
42. C₁₉×#525	C₂²	semidirect
43. C₁₉×#525	C₂²	semidirect
44. C₂×C₁₉×#121	C₂²	semidirect
45. C₂×C₁₉×#121	C₂²	semidirect
48. C₁₉×#501	C₂²	semidirect
49. C₁₉×#496	C₂²	semidirect
50. C₁₉×#490	C₂²	semidirect
51. C₁₉×#489	C₂²	semidirect
52. C₁₉×#485	C₂²	semidirect
53. C₁₉×#484	C₂²	semidirect
54. C₁₉×#482	C₂²	semidirect
55. C₁₉×#482	C₂²	semidirect
56. C₁₉×#482	C₂²	semidirect
57. C₁₉×#481	C₂²	semidirect
58. C₁₉×#480	C₂²	semidirect
59. C₁₉×#480	C₂²	semidirect
60. C₁₉×#479	C₂²	semidirect
61. C₁₉×#478	C₂²	semidirect
62. C₁₉×#474	C₂²	semidirect
63. C₁₉×#474	C₂²	semidirect
64. C₁₉×#469	C₂²	semidirect
65. C₁₉×#469	C₂²	semidirect
66. C₁₉×#468	C₂²	semidirect
67. C₁₉×#468	C₂²	semidirect
68. C₁₉×#467	C₂²	semidirect
69. C₁₉×#467	C₂²	semidirect
71. C₁₉×#466	C₂²	semidirect
72. C₁₉×#466	C₂²	semidirect
73. C₁₉×#466	C₂²	semidirect
74. C₁₉×#466	C₂²	semidirect
75. C₁₉×#466	C₂²	semidirect
76. C₁₉×#466	C₂²	semidirect
77. C₁₉×#466	C₂²	semidirect
78. C₁₉×#466	C₂²	semidirect
79. C₁₉×#466	C₂²	semidirect
80. C₁₉×#465	C₂²	semidirect
81. C₁₉×#465	C₂²	semidirect
82. C₁₉×#465	C₂²	semidirect
83. C₁₉×#465	C₂²	semidirect
84. C₁₉×#464	C₂²	semidirect
85. C₁₉×#463	C₂²	semidirect
86. C₁₉×#459	C₂²	semidirect
87. C₁₉×#459	C₂²	semidirect
88. C₁₉×#452	C₂²	semidirect
89. C₁₉×#450	C₂²	semidirect
90. C₁₉×#449	C₂²	semidirect
91. C₁₉×#449	C₂²	semidirect
92. C₁₉×#449	C₂²	semidirect
93. C₁₉×#447	C₂²	semidirect
94. C₁₉×#447	C₂²	semidirect
95. C₁₉×#447	C₂²	semidirect
96. C₁₉×#442	C₂²	semidirect
97. C₁₉×#442	C₂²	semidirect
98. C₁₉×#440	C₂²	semidirect
99. C₁₉×#440	C₂²	semidirect
100. C₁₉×#435	C₂²	semidirect
101. C₁₉×#435	C₂²	semidirect
102. C₁₉×#435	C₂²	semidirect
103. C₁₉×#435	C₂²	semidirect
104. C₁₉×#428	C₂²	semidirect
105. C₁₉×#427	C₂²	semidirect
106. C₂×C₁₉×#107	C₂²	semidirect
107. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
108. C₁₉×#418	C₂²	semidirect
109. C₁₉×#417	C₂²	semidirect
110. C₁₉×#416	C₂²	semidirect
111. C₂×C₁₉×#102	C₂²	semidirect
112. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
113. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
114. C₂×C₁₉×#97	C₂²	semidirect
399. #62257	C₁₉	direct (N × H)
485. #3519	C₂×C₁₉	semidirect
486. #3347	C₂×C₁₉	semidirect
487. #3346	C₂×C₁₉	semidirect
488. #3319	C₂×C₁₉	semidirect
489. #3318	C₂×C₁₉	semidirect
490. #3314	C₂×C₁₉	semidirect
491. #3309	C₂×C₁₉	semidirect
492. #3268	C₂×C₁₉	semidirect
493. #3264	C₂×C₁₉	semidirect
494. #3250	C₂×C₁₉	semidirect
495. #3245	C₂×C₁₉	semidirect
496. #3191	C₂×C₁₉	semidirect
497. #3188	C₂×C₁₉	semidirect
498. #3186	C₂×C₁₉	semidirect
499. #3180	C₂×C₁₉	semidirect
500. #3055	C₂×C₁₉	semidirect
501. #3050	C₂×C₁₉	semidirect
502. C₂×#466	C₂×C₁₉	semidirect
503. C₂×#435	C₂×C₁₉	semidirect
543. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
544. C₂×#135	C₂²×C₁₉	semidirect
545. C₂²×D₈	C₂²×C₁₉	semidirect
546. C₂²×M₁₆	C₂²×C₁₉	semidirect
547. C₂³×C₈	C₂²×C₁₉	semidirect
548. #555	C₂²×C₁₉	semidirect
549. #554	C₂²×C₁₉	semidirect
552. #553	C₂²×C₁₉	semidirect
553. #550	C₂²×C₁₉	semidirect
557. #546	C₂²×C₁₉	semidirect
559. D₄²	C₂²×C₁₉	semidirect
563. #532	C₂²×C₁₉	semidirect
564. #529	C₂²×C₁₉	semidirect
565. #525	C₂²×C₁₉	semidirect
566. #525	C₂²×C₁₉	semidirect
567. C₂×#121	C₂²×C₁₉	semidirect
568. C₂×#121	C₂²×C₁₉	semidirect
571. #501	C₂²×C₁₉	semidirect
572. #496	C₂²×C₁₉	semidirect
573. #490	C₂²×C₁₉	semidirect
574. #489	C₂²×C₁₉	semidirect
575. #485	C₂²×C₁₉	semidirect
576. #484	C₂²×C₁₉	semidirect
577. #482	C₂²×C₁₉	semidirect
578. #482	C₂²×C₁₉	semidirect
579. #482	C₂²×C₁₉	semidirect
580. #481	C₂²×C₁₉	semidirect
581. #480	C₂²×C₁₉	semidirect
582. #480	C₂²×C₁₉	semidirect
583. #479	C₂²×C₁₉	semidirect
584. #478	C₂²×C₁₉	semidirect
585. #474	C₂²×C₁₉	semidirect
586. #474	C₂²×C₁₉	semidirect
587. #469	C₂²×C₁₉	semidirect
588. #469	C₂²×C₁₉	semidirect
589. #468	C₂²×C₁₉	semidirect
590. #468	C₂²×C₁₉	semidirect
591. #467	C₂²×C₁₉	semidirect
592. #467	C₂²×C₁₉	semidirect
594. #466	C₂²×C₁₉	semidirect
595. #466	C₂²×C₁₉	semidirect
596. #466	C₂²×C₁₉	semidirect
597. #466	C₂²×C₁₉	semidirect
598. #466	C₂²×C₁₉	semidirect
599. #466	C₂²×C₁₉	semidirect
600. #466	C₂²×C₁₉	semidirect
601. #466	C₂²×C₁₉	semidirect
602. #466	C₂²×C₁₉	semidirect
603. #465	C₂²×C₁₉	semidirect
604. #465	C₂²×C₁₉	semidirect
605. #465	C₂²×C₁₉	semidirect
606. #465	C₂²×C₁₉	semidirect
607. #464	C₂²×C₁₉	semidirect
608. #463	C₂²×C₁₉	semidirect
609. #459	C₂²×C₁₉	semidirect
610. #459	C₂²×C₁₉	semidirect
611. #452	C₂²×C₁₉	semidirect
612. #450	C₂²×C₁₉	semidirect
613. #449	C₂²×C₁₉	semidirect
614. #449	C₂²×C₁₉	semidirect
615. #449	C₂²×C₁₉	semidirect
616. #447	C₂²×C₁₉	semidirect
617. #447	C₂²×C₁₉	semidirect
618. #447	C₂²×C₁₉	semidirect
619. #442	C₂²×C₁₉	semidirect
620. #442	C₂²×C₁₉	semidirect
621. #440	C₂²×C₁₉	semidirect
622. #440	C₂²×C₁₉	semidirect
623. #435	C₂²×C₁₉	semidirect
624. #435	C₂²×C₁₉	semidirect
625. #435	C₂²×C₁₉	semidirect
626. #435	C₂²×C₁₉	semidirect
627. #428	C₂²×C₁₉	semidirect
628. #427	C₂²×C₁₉	semidirect
629. C₂×#107	C₂²×C₁₉	semidirect
630. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
631. #418	C₂²×C₁₉	semidirect
632. #417	C₂²×C₁₉	semidirect
633. #416	C₂²×C₁₉	semidirect
634. C₂×#102	C₂²×C₁₉	semidirect
635. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
636. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
637. C₂×#97	C₂²×C₁₉	semidirect
802. C₁₉	#62257	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×#3519	2
C₁₉×#3347	2
C₁₉×#3346	2
C₁₉×#3319	2
C₁₉×#3318	2
C₁₉×#3314	2
C₁₉×#3309	2
C₁₉×#3268	2
C₁₉×#3264	2
C₁₉×#3250	2
C₁₉×#3245	2
C₁₉×#3191	2
C₁₉×#3188	2
C₁₉×#3186	2
C₁₉×#3180	2
C₁₉×#3055	2
C₁₉×#3050	2
C₂×C₁₉×#466	2
C₂×C₁₉×#435	2
#62257	19

Subgroups — C19×#62257 #18068216

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62257 #18068216