Subgroups — C₁₉×#62283 #18068242

Order 4864.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1044 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3542	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3348	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3345	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3332	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3325	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3323	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3322	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×#3263	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3259	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3198	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3197	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3192	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3060	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3058	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3055	C₂	1	2	yes	maximal, complemented
19	C₁₉×#2930	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	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
24	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₁₉×#562	—	2	2	no	—
26	C₁₉×#560	—	2	2	no	—
27	C₁₉×#555	C₂²	1	2	yes	—
28	C₁₉×#553	C₂²	1	2	yes	complemented
29	C₁₉×#552	C₂²	1	2	yes	complemented
30	C₁₉×#551	—	2	2	no	—
31	C₁₉×#550	C₂²	1	2	yes	complemented
32	C₁₉×#547	C₂²	1	2	yes	complemented
33	C₁₉×#546	—	2	2	no	—
34	C₁₉×#546	C₂²	1	2	yes	—
35	C₁₉×#546	C₂²	1	2	yes	complemented
36	D₄²×C₁₉	C₂²	1	2	yes	complemented
37	C₁₉×#542	C₂²	1	2	yes	complemented
38	C₁₉×#540	—	2	2	no	—
39	C₁₉×#540	C₂²	1	2	yes	complemented
40	C₁₉×#538	—	2	2	no	—
41	C₁₉×#537	C₂²	1	2	yes	complemented
42	C₁₉×#535	—	2	2	no	—
43	C₁₉×#535	C₂²	1	2	yes	complemented
44	C₁₉×#534	—	2	2	no	—
45	C₁₉×#525	C₂²	1	1	yes	characteristic
46	C₁₉×#525	C₂²	1	2	yes	complemented
47	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
48	C₁₉×#501	C₂²	1	2	yes	complemented
49	C₁₉×#496	C₂²	1	2	yes	complemented
50	C₁₉×#488	C₂²	1	2	yes	complemented
51	C₁₉×#486	C₂²	1	2	yes	complemented
52	C₁₉×#485	C₂²	1	2	yes	complemented
53	C₁₉×#485	C₂²	1	2	yes	complemented
54	C₁₉×#482	C₂²	1	2	yes	complemented
55	C₁₉×#482	C₂²	1	2	yes	complemented
56	C₁₉×#481	C₂²	1	2	yes	complemented
57	C₁₉×#481	C₂²	1	2	yes	complemented
58	C₁₉×#481	C₂²	1	2	yes	complemented
59	C₁₉×#480	C₂²	1	2	yes	complemented
60	C₁₉×#478	C₂²	1	2	yes	complemented
61	C₁₉×#478	C₂²	1	2	yes	complemented
62	C₁₉×#476	C₂²	1	2	yes	complemented
63	C₁₉×#475	C₂²	1	2	yes	complemented
64	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#469	C₂²	1	1	yes	characteristic
67	C₁₉×#469	C₂²	1	2	yes	—
68	C₁₉×#469	C₂²	1	2	yes	complemented
69	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
70	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
71	C₁₉×#469	C₂²	1	2	yes	complemented
72	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#468	C₂²	1	2	yes	complemented
76	C₁₉×#468	C₂²	1	2	yes	complemented
77	C₁₉×#468	C₂²	1	2	yes	complemented
78	C₁₉×#466	C₂²	1	2	yes	complemented
79	C₁₉×#466	C₂²	1	2	yes	complemented
80	C₁₉×#466	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	—
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×#440	C₂²	1	2	yes	complemented
98	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
99	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
100	C₁₉×#436	C₂²	1	2	yes	complemented
101	C₁₉×#436	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×#106	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#418	C₂²	1	2	yes	complemented
109	C₁₉×#418	C₂²	1	2	yes	complemented
110	C₁₉×#417	C₂²	1	2	yes	complemented
111	C₁₉×#417	C₂²	1	2	yes	complemented
112	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#405	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	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
119	C₂²×D₄×C₁₉	—	2	2	no	—
120	C₂²×D₄×C₁₉	—	2	2	no	—
121	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
124	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
125	C₁₉×#135	—	4	2	no	—
126	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
127	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
130	C₂×D₈×C₁₉	—	4	2	no	—
131	C₂×D₈×C₁₉	C₂³	1	2	yes	—
132	C₂×D₈×C₁₉	C₂³	1	2	yes	—
133	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
134	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×D₈×C₁₉	C₂³	1	2	yes	—
136	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
137	C₁₉×#131	—	4	2	no	—
138	C₂×M₁₆×C₁₉	—	4	2	no	—
139	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
140	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
141	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
142	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
143	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
144	C₂×M₁₆×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	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
150	C₁₉×#127	—	2	2	no	—
151	C₁₉×#127	—	2	2	no	—
152	C₁₉×#127	C₂³	1	2	yes	—
153	C₁₉×#126	—	2	2	no	—
154	C₁₉×#126	—	2	2	no	—
155	C₁₉×#126	—	2	2	no	—
156	C₁₉×#125	—	2	2	no	—
157	C₁₉×#125	C₂³	1	2	yes	—
158	C₁₉×#124	—	2	2	no	—
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×#123	—	2	2	no	—
171	C₁₉×#123	—	2	2	no	—
172	C₁₉×#123	—	2	2	no	—
173	C₁₉×#123	D₄	1	1	yes	characteristic
174	C₁₉×#123	D₄	1	1	yes	characteristic
175	C₁₉×C₂²⋊Q₈	—	2	2	no	—
176	C₁₉×C₂²⋊Q₈	—	2	2	no	—
177	C₁₉×C₂²⋊Q₈	—	2	2	no	—
178	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
179	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
180	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
181	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
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	—	2	2	no	—
189	C₁₉×#121	—	2	2	no	—
190	C₁₉×#121	—	2	2	no	—
191	C₁₉×#121	—	2	2	no	—
192	C₁₉×#121	—	2	2	no	—
193	C₁₉×#121	—	2	2	no	—
194	C₁₉×#121	—	2	2	no	—
195	C₁₉×#121	—	2	2	no	—
196	C₁₉×#121	D₄	1	2	yes	—
197	C₁₉×#121	C₂³	1	2	yes	—
198	C₁₉×#121	C₂³	1	2	yes	—
199	C₁₉×#121	C₂³	1	2	yes	—
200	C₁₉×#121	C₂³	1	2	yes	—
201	C₁₉×#121	C₂³	1	2	yes	—
202	C₁₉×#121	C₂³	1	2	yes	—
203	C₁₉×#121	C₂³	1	2	yes	—
204	C₁₉×#121	C₂³	1	2	yes	—
205	C₁₉×#121	C₂³	1	2	yes	—
206	C₁₉×#120	—	2	2	no	—
207	C₁₉×#120	—	2	2	no	—
208	C₁₉×#120	—	2	2	no	—
209	C₁₉×#120	—	2	2	no	—
210	C₁₉×#120	—	2	2	no	—
211	C₁₉×#120	—	2	2	no	—
212	C₁₉×#120	—	2	2	no	—
213	C₁₉×#120	D₄	1	1	yes	characteristic
214	C₁₉×#120	D₄	1	1	yes	characteristic
215	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
216	C₄×D₄×C₁₉	—	2	2	no	—
217	C₄×D₄×C₁₉	—	2	2	no	—
218	C₄×D₄×C₁₉	—	2	2	no	—
219	C₄×D₄×C₁₉	—	2	2	no	—
220	C₄×D₄×C₁₉	C₂³	1	2	yes	—
221	C₄×D₄×C₁₉	C₂³	1	2	yes	—
222	C₄×D₄×C₁₉	C₂³	1	2	yes	—
223	C₄×D₄×C₁₉	C₂³	1	2	yes	—
224	C₄×D₄×C₁₉	C₂³	1	2	yes	—
225	C₁₉×#117	—	2	2	no	—
226	C₁₉×#117	—	2	2	no	—
227	C₁₉×#117	C₂³	1	2	yes	—
228	C₁₉×#117	C₂³	1	2	yes	—
229	C₁₉×#117	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
231	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
233	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
234	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
235	C₁₉×#107	C₂³	1	2	yes	—
236	C₁₉×#107	C₂³	1	2	yes	—
237	C₁₉×#107	C₂³	1	2	yes	—
238	C₁₉×#106	C₂³	1	2	yes	—
239	C₁₉×#106	C₂³	1	1	yes	characteristic
240	C₁₉×#106	C₂³	1	1	yes	characteristic
241	C₁₉×#106	C₂³	1	1	yes	characteristic
242	C₁₉×#106	C₂³	1	1	yes	characteristic
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	C₄×C₈×C₁₉	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	#41×C₁₉	—	4	1	no	—
273	#41×C₁₉	—	4	1	no	—
274	#41×C₁₉	—	4	2	no	—
275	#41×C₁₉	—	4	2	no	—
276	#41×C₁₉	—	4	2	no	—
277	#41×C₁₉	—	4	2	no	—
278	#41×C₁₉	—	8	4	no	—
279	C₂×Q₈×C₁₉	—	2	2	no	—
280	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
281	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
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	—	2	2	no	—
296	C₂×D₄×C₁₉	—	2	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	2	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	C₂×D₄	1	1	yes	characteristic
306	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
307	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
308	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
309	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
310	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
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	—	2	2	no	—
316	C₂²×C₄×C₁₉	—	2	2	no	—
317	C₂²×C₄×C₁₉	—	2	2	no	—
318	C₂²×C₄×C₁₉	—	4	1	no	—
319	C₂²×C₄×C₁₉	—	4	1	no	—
320	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
321	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
326	Q₁₆×C₁₉	—	4	1	no	—
327	SD₁₆×C₁₉	—	2	4	no	—
328	SD₁₆×C₁₉	—	4	2	no	—
329	SD₁₆×C₁₉	—	4	2	no	—
330	D₈×C₁₉	—	2	4	no	—
331	D₈×C₁₉	—	4	1	no	—
332	D₈×C₁₉	—	4	1	no	—
333	D₈×C₁₉	—	4	2	no	—
334	D₈×C₁₉	—	4	1	no	—
335	D₈×C₁₉	—	4	2	no	—
336	M₁₆×C₁₉	—	2	4	no	—
337	M₁₆×C₁₉	—	4	2	no	—
338	M₁₆×C₁₉	—	4	1	no	—
339	M₁₆×C₁₉	—	4	1	no	—
340	M₁₆×C₁₉	—	4	1	no	—
341	M₁₆×C₁₉	—	4	1	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	C₂⁴	1	1	yes	characteristic
347	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
348	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
349	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
350	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
351	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₄⋊C₄×C₁₉	—	2	2	no	—
353	C₄⋊C₄×C₁₉	—	2	2	no	—
354	C₄⋊C₄×C₁₉	—	2	2	no	—
355	C₄⋊C₄×C₁₉	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
362	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
363	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
364	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
365	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
368	C₂²⋊C₄×C₁₉	—	2	2	no	—
369	C₂²⋊C₄×C₁₉	—	2	2	no	—
370	C₂²⋊C₄×C₁₉	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
388	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
389	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
390	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
391	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
392	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
393	C₄²×C₁₉	—	2	2	no	—
394	C₄²×C₁₉	—	2	2	no	—
395	C₄²×C₁₉	—	2	2	no	—
396	C₄²×C₁₉	C₂⁴	1	2	yes	—
397	#62283	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
398	C₂³×C₁₉	—	2	2	no	—
399	C₂³×C₁₉	—	2	2	no	—
400	C₂³×C₁₉	—	2	2	no	—
401	C₂³×C₁₉	—	4	1	no	—
402	C₂³×C₁₉	—	4	2	no	—
403	C₂³×C₁₉	—	4	4	no	—
404	C₂³×C₁₉	—	8	2	no	—
405	C₂³×C₁₉	—	8	2	no	—
406	C₂³×C₁₉	—	8	2	no	—
407	C₂³×C₁₉	—	8	2	no	—
408	C₂³×C₁₉	—	8	2	no	—
409	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
410	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
411	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
412	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
413	Q₈×C₁₉	—	2	2	no	—
414	Q₈×C₁₉	—	2	2	no	—
415	Q₈×C₁₉	—	4	1	no	—
416	Q₈×C₁₉	—	8	2	no	—
417	D₄×C₁₉	—	2	2	no	—
418	D₄×C₁₉	—	2	2	no	—
419	D₄×C₁₉	—	2	2	no	—
420	D₄×C₁₉	—	2	2	no	—
421	D₄×C₁₉	—	2	2	no	—
422	D₄×C₁₉	—	2	2	no	—
423	D₄×C₁₉	—	4	2	no	—
424	D₄×C₁₉	—	4	1	no	—
425	D₄×C₁₉	—	4	1	no	—
426	D₄×C₁₉	—	4	1	no	—
427	D₄×C₁₉	—	4	2	no	—
428	D₄×C₁₉	—	4	4	no	—
429	D₄×C₁₉	—	8	2	no	—
430	D₄×C₁₉	—	8	2	no	—
431	D₄×C₁₉	—	8	2	no	—
432	D₄×C₁₉	—	8	2	no	—
433	D₄×C₁₉	—	8	2	no	—
434	D₄×C₁₉	—	8	2	no	—
435	D₄×C₁₉	—	8	2	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	C₂×C₄×C₁₉	—	2	1	no	—
444	C₂×C₄×C₁₉	—	2	1	no	—
445	C₂×C₄×C₁₉	—	2	1	no	—
446	C₂×C₄×C₁₉	—	2	2	no	—
447	C₂×C₄×C₁₉	—	2	1	no	—
448	C₂×C₄×C₁₉	—	2	2	no	—
449	C₂×C₄×C₁₉	—	2	1	no	—
450	C₂×C₄×C₁₉	—	2	1	no	—
451	C₂×C₄×C₁₉	—	2	2	no	—
452	C₂×C₄×C₁₉	—	2	2	no	—
453	C₂×C₄×C₁₉	—	2	2	no	—
454	C₂×C₄×C₁₉	—	2	2	no	—
455	C₂×C₄×C₁₉	—	2	2	no	—
456	C₂×C₄×C₁₉	—	4	1	no	—
457	C₂×C₄×C₁₉	—	4	2	no	—
458	C₂×C₄×C₁₉	—	4	4	no	—
459	C₂×C₄×C₁₉	—	8	2	no	—
460	C₂×C₄×C₁₉	—	8	2	no	—
461	C₂×C₄×C₁₉	—	8	2	no	—
462	C₂×C₄×C₁₉	—	8	2	no	—
463	C₂×C₄×C₁₉	—	8	2	no	—
464	C₂×C₄×C₁₉	—	8	2	no	—
465	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
466	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
467	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
468	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
469	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
472	C₈×C₁₉	—	2	1	no	—
473	C₈×C₁₉	—	2	1	no	—
474	C₈×C₁₉	—	2	1	no	—
475	C₈×C₁₉	—	2	2	no	—
476	C₈×C₁₉	—	2	2	no	—
477	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
478	#3542	C₂×C₁₉	1	2	yes	complemented
479	#3348	C₂×C₁₉	1	2	yes	complemented
480	#3345	C₂×C₁₉	1	2	yes	complemented
481	#3332	C₂×C₁₉	1	2	yes	complemented
482	#3325	C₂×C₁₉	1	2	yes	complemented
483	#3323	C₂×C₁₉	1	2	yes	complemented
484	#3322	C₂×C₁₉	1	2	yes	complemented
485	#3268	C₂×C₁₉	1	2	yes	complemented
486	#3264	C₂×C₁₉	1	2	yes	complemented
487	#3263	C₂×C₁₉	1	1	yes	characteristic, complemented
488	#3259	C₂×C₁₉	1	1	yes	characteristic, complemented
489	#3198	C₂×C₁₉	1	2	yes	complemented
490	#3197	C₂×C₁₉	1	1	yes	characteristic, complemented
491	#3192	C₂×C₁₉	1	1	yes	characteristic, complemented
492	#3179	C₂×C₁₉	1	2	yes	complemented
493	#3060	C₂×C₁₉	1	1	yes	characteristic, complemented
494	#3058	C₂×C₁₉	1	1	yes	characteristic, complemented
495	#3055	C₂×C₁₉	1	2	yes	complemented
496	#2930	C₂×C₁₉	1	1	yes	characteristic, complemented
497	C₂²×C₁₉	—	2	2	no	—
498	C₂²×C₁₉	—	2	2	no	—
499	C₂²×C₁₉	—	2	2	no	—
500	C₂²×C₁₉	—	2	2	no	—
501	C₂²×C₁₉	—	2	2	no	—
502	C₂²×C₁₉	—	2	1	no	—
503	C₂²×C₁₉	—	2	2	no	—
504	C₂²×C₁₉	—	2	1	no	—
505	C₂²×C₁₉	—	2	1	no	—
506	C₂²×C₁₉	—	4	2	no	—
507	C₂²×C₁₉	—	4	2	no	—
508	C₂²×C₁₉	—	4	2	no	—
509	C₂²×C₁₉	—	4	2	no	—
510	C₂²×C₁₉	—	4	2	no	—
511	C₂²×C₁₉	—	4	2	no	—
512	C₂²×C₁₉	—	4	2	no	—
513	C₂²×C₁₉	—	4	2	no	—
514	C₂²×C₁₉	—	4	2	no	—
515	C₂²×C₁₉	—	8	2	no	—
516	C₂²×C₁₉	—	16	4	no	—
517	C₂²×C₁₉	—	16	4	no	—
518	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
519	C₄×C₁₉	—	2	2	no	—
520	C₄×C₁₉	—	2	2	no	—
521	C₄×C₁₉	—	2	2	no	—
522	C₄×C₁₉	—	2	1	no	—
523	C₄×C₁₉	—	2	1	no	—
524	C₄×C₁₉	—	2	1	no	—
525	C₄×C₁₉	—	4	2	no	—
526	C₄×C₁₉	—	4	2	no	—
527	C₄×C₁₉	—	4	2	no	—
528	C₄×C₁₉	—	4	2	no	—
529	C₄×C₁₉	—	4	2	no	—
530	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
531	C₄×C₁₉	#585	1	1	yes	characteristic
532	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
533	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
534	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
535	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
536	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
537	#562	—	2	2	no	—
538	#560	—	2	2	no	—
539	#555	C₂²×C₁₉	1	2	yes	—
540	#553	C₂²×C₁₉	1	2	yes	complemented
541	#552	C₂²×C₁₉	1	2	yes	complemented
542	#551	—	2	2	no	—
543	#550	C₂²×C₁₉	1	2	yes	complemented
544	#547	C₂²×C₁₉	1	2	yes	complemented
545	#546	—	2	2	no	—
546	#546	C₂²×C₁₉	1	2	yes	—
547	#546	C₂²×C₁₉	1	2	yes	complemented
548	D₄²	C₂²×C₁₉	1	2	yes	complemented
549	#542	C₂²×C₁₉	1	2	yes	complemented
550	#540	—	2	2	no	—
551	#540	C₂²×C₁₉	1	2	yes	complemented
552	#538	—	2	2	no	—
553	#537	C₂²×C₁₉	1	2	yes	complemented
554	#535	—	2	2	no	—
555	#535	C₂²×C₁₉	1	2	yes	complemented
556	#534	—	2	2	no	—
557	#525	C₂²×C₁₉	1	1	yes	characteristic
558	#525	C₂²×C₁₉	1	2	yes	complemented
559	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
560	#501	C₂²×C₁₉	1	2	yes	complemented
561	#496	C₂²×C₁₉	1	2	yes	complemented
562	#488	C₂²×C₁₉	1	2	yes	complemented
563	#486	C₂²×C₁₉	1	2	yes	complemented
564	#485	C₂²×C₁₉	1	2	yes	complemented
565	#485	C₂²×C₁₉	1	2	yes	complemented
566	#482	C₂²×C₁₉	1	2	yes	complemented
567	#482	C₂²×C₁₉	1	2	yes	complemented
568	#481	C₂²×C₁₉	1	2	yes	complemented
569	#481	C₂²×C₁₉	1	2	yes	complemented
570	#481	C₂²×C₁₉	1	2	yes	complemented
571	#480	C₂²×C₁₉	1	2	yes	complemented
572	#478	C₂²×C₁₉	1	2	yes	complemented
573	#478	C₂²×C₁₉	1	2	yes	complemented
574	#476	C₂²×C₁₉	1	2	yes	complemented
575	#475	C₂²×C₁₉	1	2	yes	complemented
576	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
577	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
578	#469	C₂²×C₁₉	1	2	yes	—
579	#469	C₂²×C₁₉	1	1	yes	characteristic
580	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
581	#469	C₂²×C₁₉	1	2	yes	complemented
582	#469	C₂²×C₁₉	1	2	yes	complemented
583	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
584	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
585	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
586	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
587	#468	C₂²×C₁₉	1	2	yes	complemented
588	#468	C₂²×C₁₉	1	2	yes	complemented
589	#468	C₂²×C₁₉	1	2	yes	complemented
590	#466	C₂²×C₁₉	1	2	yes	complemented
591	#466	C₂²×C₁₉	1	2	yes	complemented
592	#466	C₂²×C₁₉	1	2	yes	complemented
593	#465	C₂²×C₁₉	1	2	yes	complemented
594	#465	C₂²×C₁₉	1	2	yes	complemented
595	#465	C₂²×C₁₉	1	2	yes	complemented
596	#464	C₂²×C₁₉	1	2	yes	complemented
597	#463	C₂²×C₁₉	1	2	yes	complemented
598	#459	C₂²×C₁₉	1	2	yes	complemented
599	#459	C₂²×C₁₉	1	2	yes	complemented
600	#452	C₂²×C₁₉	1	2	yes	complemented
601	#450	C₂²×C₁₉	1	2	yes	complemented
602	#449	C₂²×C₁₉	1	2	yes	complemented
603	#449	C₂²×C₁₉	1	2	yes	complemented
604	#449	C₂²×C₁₉	1	2	yes	complemented
605	#447	C₂²×C₁₉	1	2	yes	—
606	#447	C₂²×C₁₉	1	2	yes	complemented
607	#447	C₂²×C₁₉	1	2	yes	complemented
608	#442	C₂²×C₁₉	1	2	yes	complemented
609	#440	C₂²×C₁₉	1	2	yes	complemented
610	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
611	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
612	#436	C₂²×C₁₉	1	2	yes	complemented
613	#436	C₂²×C₁₉	1	2	yes	complemented
614	#435	C₂²×C₁₉	1	2	yes	complemented
615	#435	C₂²×C₁₉	1	2	yes	complemented
616	#428	C₂²×C₁₉	1	2	yes	complemented
617	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
618	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
619	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
620	#418	C₂²×C₁₉	1	2	yes	complemented
621	#418	C₂²×C₁₉	1	2	yes	complemented
622	#417	C₂²×C₁₉	1	2	yes	complemented
623	#417	C₂²×C₁₉	1	2	yes	complemented
624	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
625	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
626	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
627	C₂×C₁₉	—	4	1	no	—
628	C₂×C₁₉	—	4	1	no	—
629	C₂×C₁₉	—	4	2	no	—
630	C₂×C₁₉	—	4	1	no	—
631	C₂×C₁₉	—	8	2	no	—
632	C₂×C₁₉	—	8	2	no	—
633	C₂×C₁₉	—	8	2	no	—
634	C₂×C₁₉	#3496	1	1	yes	characteristic
635	C₂×C₁₉	#3585	1	2	yes	—
636	C₂×#41	—	2	2	no	—
637	C₂×#41	C₂³×C₁₉	1	2	yes	—
638	C₂×#41	C₂³×C₁₉	1	2	yes	—
639	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
640	C₂²×D₄	—	2	2	no	—
641	C₂²×D₄	—	2	2	no	—
642	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
643	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
644	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
645	AGL(1,ℤ/8)	—	4	4	no	—
646	#135	—	4	2	no	—
647	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
648	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
649	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
650	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
651	C₂×D₈	—	4	2	no	—
652	C₂×D₈	C₂³×C₁₉	1	2	yes	—
653	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
654	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
655	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
656	C₂×D₈	C₂³×C₁₉	1	2	yes	—
657	C₂×D₈	C₂³×C₁₉	1	2	yes	—
658	#131	—	4	2	no	—
659	C₂×M₁₆	—	4	2	no	—
660	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
661	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
662	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
663	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
664	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
665	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
666	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
667	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
668	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
669	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
670	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
671	#127	—	2	2	no	—
672	#127	—	2	2	no	—
673	#127	C₂³×C₁₉	1	2	yes	—
674	#126	—	2	2	no	—
675	#126	—	2	2	no	—
676	#126	—	2	2	no	—
677	#125	—	2	2	no	—
678	#125	C₂³×C₁₉	1	2	yes	—
679	#124	—	2	2	no	—
680	#124	—	2	2	no	—
681	#124	—	2	2	no	—
682	#124	—	2	2	no	—
683	#124	C₂³×C₁₉	1	2	yes	—
684	#123	—	2	2	no	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	—	2	2	no	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	D₄×C₁₉	1	1	yes	characteristic
695	#123	D₄×C₁₉	1	1	yes	characteristic
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	—	2	2	no	—
698	C₂²⋊Q₈	—	2	2	no	—
699	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
700	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
701	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
702	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
703	#121	—	2	2	no	—
704	#121	—	2	2	no	—
705	#121	—	2	2	no	—
706	#121	—	2	2	no	—
707	#121	—	2	2	no	—
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	D₄×C₁₉	1	2	yes	—
718	#121	C₂³×C₁₉	1	2	yes	—
719	#121	C₂³×C₁₉	1	2	yes	—
720	#121	C₂³×C₁₉	1	2	yes	—
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	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	#120	—	2	2	no	—
734	#120	D₄×C₁₉	1	1	yes	characteristic
735	#120	D₄×C₁₉	1	1	yes	characteristic
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	C₂³×C₁₉	1	2	yes	—
742	C₄×D₄	C₂³×C₁₉	1	2	yes	—
743	C₄×D₄	C₂³×C₁₉	1	2	yes	—
744	C₄×D₄	C₂³×C₁₉	1	2	yes	—
745	C₄×D₄	C₂³×C₁₉	1	2	yes	—
746	#117	—	2	2	no	—
747	#117	—	2	2	no	—
748	#117	C₂³×C₁₉	1	2	yes	—
749	#117	C₂³×C₁₉	1	2	yes	—
750	#117	C₂³×C₁₉	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
752	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
753	C₂×C₂²⋊C₄	—	2	2	no	—
754	C₂×C₂²⋊C₄	—	2	2	no	—
755	C₂×C₂²⋊C₄	—	2	2	no	—
756	#107	C₂³×C₁₉	1	2	yes	—
757	#107	C₂³×C₁₉	1	2	yes	—
758	#107	C₂³×C₁₉	1	2	yes	—
759	#106	C₂³×C₁₉	1	2	yes	—
760	#106	C₂³×C₁₉	1	1	yes	characteristic
761	#106	C₂³×C₁₉	1	1	yes	characteristic
762	#106	C₂³×C₁₉	1	1	yes	characteristic
763	#106	C₂³×C₁₉	1	1	yes	characteristic
764	#106	C₂³×C₁₉	1	2	yes	—
765	#106	C₂³×C₁₉	1	2	yes	—
766	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
767	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
768	#103	C₂³×C₁₉	1	2	yes	—
769	#103	C₂³×C₁₉	1	2	yes	—
770	#103	C₂³×C₁₉	1	2	yes	—
771	#103	C₂³×C₁₉	1	2	yes	—
772	#102	C₂³×C₁₉	1	2	yes	—
773	#102	C₂³×C₁₉	1	2	yes	—
774	#102	C₂³×C₁₉	1	2	yes	—
775	#102	C₂³×C₁₉	1	2	yes	—
776	#102	C₂³×C₁₉	1	2	yes	—
777	#102	C₂³×C₁₉	1	2	yes	—
778	#102	C₂³×C₁₉	1	2	yes	—
779	#102	C₂³×C₁₉	1	2	yes	—
780	#102	C₂³×C₁₉	1	2	yes	—
781	#102	C₂³×C₁₉	1	2	yes	—
782	#102	C₂³×C₁₉	1	2	yes	—
783	#102	C₂³×C₁₉	1	2	yes	—
784	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
785	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
786	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
787	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
788	#97	C₂³×C₁₉	1	2	yes	—
789	C₄×C₈	C₂³×C₁₉	1	2	yes	—
790	C₁₉	#62283	1	1	yes	characteristic, direct product factor, Sylow
791	C₂⁴	—	2	2	no	—
792	C₂⁴	—	2	2	no	—
793	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
794	#41	—	4	1	no	—
795	#41	—	4	1	no	—
796	#41	—	4	2	no	—
797	#41	—	4	2	no	—
798	#41	—	4	2	no	—
799	#41	—	4	2	no	—
800	#41	—	8	4	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
803	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
804	C₂×D₄	—	2	2	no	—
805	C₂×D₄	—	2	2	no	—
806	C₂×D₄	—	2	2	no	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
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	—	4	2	no	—
820	C₂×D₄	—	4	2	no	—
821	C₂×D₄	—	4	2	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	8	4	no	—
824	C₂×D₄	—	8	4	no	—
825	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
826	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
827	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
828	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
829	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
830	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
831	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
832	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
843	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
846	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
848	Q₁₆	—	4	1	no	—
849	SD₁₆	—	2	4	no	—
850	SD₁₆	—	4	2	no	—
851	SD₁₆	—	4	2	no	—
852	D₈	—	2	4	no	—
853	D₈	—	4	1	no	—
854	D₈	—	4	1	no	—
855	D₈	—	4	2	no	—
856	D₈	—	4	1	no	—
857	D₈	—	4	2	no	—
858	M₁₆	—	2	4	no	—
859	M₁₆	—	4	2	no	—
860	M₁₆	—	4	1	no	—
861	M₁₆	—	4	1	no	—
862	M₁₆	—	4	1	no	—
863	M₁₆	—	4	1	no	—
864	C₂×C₈	—	2	2	no	—
865	C₂×C₈	—	2	2	no	—
866	C₂×C₈	—	2	2	no	—
867	C₂×C₈	—	4	1	no	—
868	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
869	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
870	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
871	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
872	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
873	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
884	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
885	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
886	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
887	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
888	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
889	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
890	C₂²⋊C₄	—	2	2	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
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	C₂×D₄×C₁₉	1	2	yes	—
910	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
911	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
912	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
913	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
914	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
915	C₄²	—	2	2	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	C₂⁴×C₁₉	1	2	yes	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	4	1	no	—
923	C₂³	—	4	2	no	—
924	C₂³	—	4	4	no	—
925	C₂³	—	8	2	no	—
926	C₂³	—	8	2	no	—
927	C₂³	—	8	2	no	—
928	C₂³	—	8	2	no	—
929	C₂³	—	8	2	no	—
930	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
931	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
932	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
933	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
934	Q₈	—	2	2	no	—
935	Q₈	—	2	2	no	—
936	Q₈	—	4	1	no	—
937	Q₈	—	8	2	no	—
938	D₄	—	2	2	no	—
939	D₄	—	2	2	no	—
940	D₄	—	2	2	no	—
941	D₄	—	2	2	no	—
942	D₄	—	2	2	no	—
943	D₄	—	2	2	no	—
944	D₄	—	4	2	no	—
945	D₄	—	4	1	no	—
946	D₄	—	4	1	no	—
947	D₄	—	4	1	no	—
948	D₄	—	4	2	no	—
949	D₄	—	4	4	no	—
950	D₄	—	8	2	no	—
951	D₄	—	8	2	no	—
952	D₄	—	8	2	no	—
953	D₄	—	8	2	no	—
954	D₄	—	8	2	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	2	no	—
957	D₄	—	8	2	no	—
958	D₄	—	8	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	D₄	—	8	2	no	—
962	D₄	—	8	2	no	—
963	D₄	—	8	2	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	4	1	no	—
978	C₂×C₄	—	4	2	no	—
979	C₂×C₄	—	4	4	no	—
980	C₂×C₄	—	8	2	no	—
981	C₂×C₄	—	8	2	no	—
982	C₂×C₄	—	8	2	no	—
983	C₂×C₄	—	8	2	no	—
984	C₂×C₄	—	8	2	no	—
985	C₂×C₄	—	8	2	no	—
986	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
987	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
988	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
989	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
990	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
991	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
992	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
993	C₈	—	2	1	no	—
994	C₈	—	2	1	no	—
995	C₈	—	2	1	no	—
996	C₈	—	2	2	no	—
997	C₈	—	2	2	no	—
998	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
999	C₂²	—	2	1	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	2	1	no	—
1002	C₂²	—	2	1	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	2	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	2	no	—
1016	C₂²	—	4	2	no	—
1017	C₂²	—	8	2	no	—
1018	C₂²	—	16	4	no	—
1019	C₂²	—	16	4	no	—
1020	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1021	C₄	—	2	2	no	—
1022	C₄	—	2	1	no	—
1023	C₄	—	2	1	no	—
1024	C₄	—	2	1	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	4	2	no	—
1028	C₄	—	4	2	no	—
1029	C₄	—	4	2	no	—
1030	C₄	—	4	2	no	—
1031	C₄	—	4	2	no	—
1032	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1033	C₄	C₁₉×#585	1	1	yes	characteristic
1034	C₂	—	4	2	no	—
1035	C₂	—	4	1	no	—
1036	C₂	—	4	1	no	—
1037	C₂	—	4	1	no	—
1038	C₂	—	8	2	no	—
1039	C₂	—	8	2	no	—
1040	C₂	—	8	2	no	—
1041	C₂	C₁₉×#3496	1	1	yes	characteristic
1042	C₂	C₁₉×#3585	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3542	C₂	semidirect
2. C₁₉×#3348	C₂	semidirect
3. C₁₉×#3345	C₂	semidirect
4. C₁₉×#3332	C₂	semidirect
5. C₁₉×#3325	C₂	semidirect
6. C₁₉×#3323	C₂	semidirect
7. C₁₉×#3322	C₂	semidirect
8. C₁₉×#3268	C₂	semidirect
9. C₁₉×#3264	C₂	semidirect
10. C₁₉×#3263	C₂	semidirect
11. C₁₉×#3259	C₂	semidirect
12. C₁₉×#3198	C₂	semidirect
13. C₁₉×#3197	C₂	semidirect
14. C₁₉×#3192	C₂	semidirect
15. C₁₉×#3179	C₂	semidirect
16. C₁₉×#3060	C₂	semidirect
17. C₁₉×#3058	C₂	semidirect
18. C₁₉×#3055	C₂	semidirect
19. C₁₉×#2930	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₉×#135	C₂²	semidirect
22. C₂²×D₈×C₁₉	C₂²	semidirect
23. C₂×C₁₉×#131	C₂²	semidirect
24. C₂²×M₁₆×C₁₉	C₂²	semidirect
28. C₁₉×#553	C₂²	semidirect
29. C₁₉×#552	C₂²	semidirect
31. C₁₉×#550	C₂²	semidirect
32. C₁₉×#547	C₂²	semidirect
35. C₁₉×#546	C₂²	semidirect
36. D₄²×C₁₉	C₂²	semidirect
37. C₁₉×#542	C₂²	semidirect
39. C₁₉×#540	C₂²	semidirect
41. C₁₉×#537	C₂²	semidirect
43. C₁₉×#535	C₂²	semidirect
46. C₁₉×#525	C₂²	semidirect
47. C₂×C₁₉×#121	C₂²	semidirect
48. C₁₉×#501	C₂²	semidirect
49. C₁₉×#496	C₂²	semidirect
50. C₁₉×#488	C₂²	semidirect
51. C₁₉×#486	C₂²	semidirect
52. C₁₉×#485	C₂²	semidirect
53. C₁₉×#485	C₂²	semidirect
54. C₁₉×#482	C₂²	semidirect
55. C₁₉×#482	C₂²	semidirect
56. C₁₉×#481	C₂²	semidirect
57. C₁₉×#481	C₂²	semidirect
58. C₁₉×#481	C₂²	semidirect
59. C₁₉×#480	C₂²	semidirect
60. C₁₉×#478	C₂²	semidirect
61. C₁₉×#478	C₂²	semidirect
62. C₁₉×#476	C₂²	semidirect
63. C₁₉×#475	C₂²	semidirect
64. C₁₉×#470	C₂²	semidirect
65. C₁₉×#470	C₂²	semidirect
68. C₁₉×#469	C₂²	semidirect
69. C₁₉×#469	C₂²	semidirect
70. C₁₉×#469	C₂²	semidirect
71. C₁₉×#469	C₂²	semidirect
72. C₁₉×#469	C₂²	semidirect
73. C₁₉×#469	C₂²	semidirect
74. C₁₉×#469	C₂²	semidirect
75. C₁₉×#468	C₂²	semidirect
76. C₁₉×#468	C₂²	semidirect
77. C₁₉×#468	C₂²	semidirect
78. C₁₉×#466	C₂²	semidirect
79. C₁₉×#466	C₂²	semidirect
80. C₁₉×#466	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
94. C₁₉×#447	C₂²	semidirect
95. C₁₉×#447	C₂²	semidirect
96. C₁₉×#442	C₂²	semidirect
97. C₁₉×#440	C₂²	semidirect
98. C₄×SD₁₆×C₁₉	C₂²	semidirect
99. C₄×D₈×C₁₉	C₂²	semidirect
100. C₁₉×#436	C₂²	semidirect
101. C₁₉×#436	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×#106	C₂²	semidirect
107. C₁₉×#424	C₂²	semidirect
108. C₁₉×#418	C₂²	semidirect
109. C₁₉×#418	C₂²	semidirect
110. C₁₉×#417	C₂²	semidirect
111. C₁₉×#417	C₂²	semidirect
112. C₁₉×#408	C₂²	semidirect
113. C₁₉×#407	C₂²	semidirect
114. C₁₉×#405	C₂²	semidirect
397. #62283	C₁₉	direct (N × H)
478. #3542	C₂×C₁₉	semidirect
479. #3348	C₂×C₁₉	semidirect
480. #3345	C₂×C₁₉	semidirect
481. #3332	C₂×C₁₉	semidirect
482. #3325	C₂×C₁₉	semidirect
483. #3323	C₂×C₁₉	semidirect
484. #3322	C₂×C₁₉	semidirect
485. #3268	C₂×C₁₉	semidirect
486. #3264	C₂×C₁₉	semidirect
487. #3263	C₂×C₁₉	semidirect
488. #3259	C₂×C₁₉	semidirect
489. #3198	C₂×C₁₉	semidirect
490. #3197	C₂×C₁₉	semidirect
491. #3192	C₂×C₁₉	semidirect
492. #3179	C₂×C₁₉	semidirect
493. #3060	C₂×C₁₉	semidirect
494. #3058	C₂×C₁₉	semidirect
495. #3055	C₂×C₁₉	semidirect
496. #2930	C₂×C₁₉	semidirect
532. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
533. C₂×#135	C₂²×C₁₉	semidirect
534. C₂²×D₈	C₂²×C₁₉	semidirect
535. C₂×#131	C₂²×C₁₉	semidirect
536. C₂²×M₁₆	C₂²×C₁₉	semidirect
540. #553	C₂²×C₁₉	semidirect
541. #552	C₂²×C₁₉	semidirect
543. #550	C₂²×C₁₉	semidirect
544. #547	C₂²×C₁₉	semidirect
547. #546	C₂²×C₁₉	semidirect
548. D₄²	C₂²×C₁₉	semidirect
549. #542	C₂²×C₁₉	semidirect
551. #540	C₂²×C₁₉	semidirect
553. #537	C₂²×C₁₉	semidirect
555. #535	C₂²×C₁₉	semidirect
558. #525	C₂²×C₁₉	semidirect
559. C₂×#121	C₂²×C₁₉	semidirect
560. #501	C₂²×C₁₉	semidirect
561. #496	C₂²×C₁₉	semidirect
562. #488	C₂²×C₁₉	semidirect
563. #486	C₂²×C₁₉	semidirect
564. #485	C₂²×C₁₉	semidirect
565. #485	C₂²×C₁₉	semidirect
566. #482	C₂²×C₁₉	semidirect
567. #482	C₂²×C₁₉	semidirect
568. #481	C₂²×C₁₉	semidirect
569. #481	C₂²×C₁₉	semidirect
570. #481	C₂²×C₁₉	semidirect
571. #480	C₂²×C₁₉	semidirect
572. #478	C₂²×C₁₉	semidirect
573. #478	C₂²×C₁₉	semidirect
574. #476	C₂²×C₁₉	semidirect
575. #475	C₂²×C₁₉	semidirect
576. #470	C₂²×C₁₉	semidirect
577. #470	C₂²×C₁₉	semidirect
580. #469	C₂²×C₁₉	semidirect
581. #469	C₂²×C₁₉	semidirect
582. #469	C₂²×C₁₉	semidirect
583. #469	C₂²×C₁₉	semidirect
584. #469	C₂²×C₁₉	semidirect
585. #469	C₂²×C₁₉	semidirect
586. #469	C₂²×C₁₉	semidirect
587. #468	C₂²×C₁₉	semidirect
588. #468	C₂²×C₁₉	semidirect
589. #468	C₂²×C₁₉	semidirect
590. #466	C₂²×C₁₉	semidirect
591. #466	C₂²×C₁₉	semidirect
592. #466	C₂²×C₁₉	semidirect
593. #465	C₂²×C₁₉	semidirect
594. #465	C₂²×C₁₉	semidirect
595. #465	C₂²×C₁₉	semidirect
596. #464	C₂²×C₁₉	semidirect
597. #463	C₂²×C₁₉	semidirect
598. #459	C₂²×C₁₉	semidirect
599. #459	C₂²×C₁₉	semidirect
600. #452	C₂²×C₁₉	semidirect
601. #450	C₂²×C₁₉	semidirect
602. #449	C₂²×C₁₉	semidirect
603. #449	C₂²×C₁₉	semidirect
604. #449	C₂²×C₁₉	semidirect
606. #447	C₂²×C₁₉	semidirect
607. #447	C₂²×C₁₉	semidirect
608. #442	C₂²×C₁₉	semidirect
609. #440	C₂²×C₁₉	semidirect
610. C₄×SD₁₆	C₂²×C₁₉	semidirect
611. C₄×D₈	C₂²×C₁₉	semidirect
612. #436	C₂²×C₁₉	semidirect
613. #436	C₂²×C₁₉	semidirect
614. #435	C₂²×C₁₉	semidirect
615. #435	C₂²×C₁₉	semidirect
616. #428	C₂²×C₁₉	semidirect
617. #427	C₂²×C₁₉	semidirect
618. C₂×#106	C₂²×C₁₉	semidirect
619. #424	C₂²×C₁₉	semidirect
620. #418	C₂²×C₁₉	semidirect
621. #418	C₂²×C₁₉	semidirect
622. #417	C₂²×C₁₉	semidirect
623. #417	C₂²×C₁₉	semidirect
624. #408	C₂²×C₁₉	semidirect
625. #407	C₂²×C₁₉	semidirect
626. #405	C₂²×C₁₉	semidirect
790. C₁₉	#62283	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×#3542	2
C₁₉×#3348	2
C₁₉×#3345	2
C₁₉×#3332	2
C₁₉×#3325	2
C₁₉×#3323	2
C₁₉×#3322	2
C₁₉×#3268	2
C₁₉×#3264	2
C₁₉×#3263	2
C₁₉×#3259	2
C₁₉×#3198	2
C₁₉×#3197	2
C₁₉×#3192	2
C₁₉×#3179	2
C₁₉×#3060	2
C₁₉×#3058	2
C₁₉×#3055	2
C₁₉×#2930	2
#62283	19

Subgroups — C19×#62283 #18068242

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62283 #18068242