Subgroups — C₁₉×#62040 #18067999

Order 4864.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3391	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3366	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3325	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3322	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3309	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3303	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3274	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3272	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3253	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3220	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3118	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3041	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3036	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂²×D₈×C₁₉	C₂²	1	2	yes	—
27	C₁₉×#560	—	2	2	no	—
28	C₁₉×#556	C₂²	1	1	yes	characteristic, complemented
29	C₁₉×#555	C₂²	1	1	yes	characteristic
30	C₁₉×#554	C₂²	1	1	yes	characteristic, complemented
31	C₁₉×#553	—	2	1	no	—
32	C₁₉×#553	—	2	1	no	—
33	C₁₉×#553	C₂²	1	2	yes	complemented
34	C₁₉×#550	C₂²	1	2	yes	complemented
35	C₁₉×#550	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#550	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#546	—	2	1	no	—
39	C₁₉×#546	—	2	1	no	—
40	C₁₉×#546	—	2	2	no	—
41	C₁₉×#546	C₂²	1	2	yes	complemented
42	D₄²×C₁₉	C₂²	1	1	yes	characteristic
43	D₄²×C₁₉	C₂²	1	2	yes	complemented
44	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#542	C₂²	1	2	yes	complemented
46	C₁₉×#540	C₂²	1	2	yes	complemented
47	C₁₉×#538	—	2	2	no	—
48	C₁₉×#538	—	2	2	no	—
49	C₁₉×#537	—	2	1	no	—
50	C₁₉×#535	—	2	1	no	—
51	C₁₉×#535	C₂²	1	2	yes	complemented
52	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
55	C₁₉×#529	C₂²	1	1	yes	characteristic
56	C₁₉×#525	—	2	1	no	—
57	C₂×C₁₉×#121	—	2	1	no	—
58	C₁₉×#518	C₂²	1	2	yes	complemented
59	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#496	C₂²	1	2	yes	complemented
61	C₁₉×#493	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#493	C₂²	1	2	yes	complemented
63	C₁₉×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#490	C₂²	1	2	yes	complemented
65	C₁₉×#488	C₂²	1	2	yes	complemented
66	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#485	C₂²	1	2	yes	complemented
69	C₁₉×#482	C₂²	1	2	yes	complemented
70	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
71	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
72	C₁₉×#479	C₂²	1	2	yes	complemented
73	C₁₉×#478	C₂²	1	2	yes	complemented
74	C₁₉×#476	C₂²	1	2	yes	complemented
75	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
76	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
79	C₁₉×#469	C₂²	1	2	yes	complemented
80	C₁₉×#469	C₂²	1	2	yes	complemented
81	C₁₉×#469	C₂²	1	2	yes	complemented
82	C₁₉×#468	C₂²	1	2	yes	complemented
83	C₁₉×#466	C₂²	1	2	yes	complemented
84	C₁₉×#465	C₂²	1	2	yes	complemented
85	C₁₉×#463	C₂²	1	2	yes	—
86	C₁₉×#463	C₂²	1	2	yes	complemented
87	C₁₉×#463	C₂²	1	2	yes	complemented
88	C₁₉×#463	C₂²	1	2	yes	complemented
89	C₁₉×#463	C₂²	1	2	yes	complemented
90	C₁₉×#463	C₂²	1	2	yes	complemented
91	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
92	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
93	C₁₉×#460	C₂²	1	2	yes	complemented
94	C₁₉×#459	C₂²	1	1	yes	characteristic
95	C₁₉×#459	C₂²	1	1	yes	characteristic
96	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#459	C₂²	1	2	yes	complemented
98	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
99	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
100	C₁₉×#459	C₂²	1	2	yes	complemented
101	C₁₉×#459	C₂²	1	2	yes	complemented
102	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#459	C₂²	1	2	yes	complemented
104	C₁₉×#450	C₂²	1	2	yes	complemented
105	C₁₉×#449	C₂²	1	2	yes	complemented
106	C₁₉×#449	C₂²	1	2	yes	complemented
107	C₁₉×#449	C₂²	1	2	yes	complemented
108	C₁₉×#449	C₂²	1	2	yes	complemented
109	C₁₉×#447	C₂²	1	1	yes	characteristic
110	C₁₉×#447	C₂²	1	2	yes	—
111	C₁₉×#447	C₂²	1	2	yes	complemented
112	C₁₉×#447	C₂²	1	2	yes	complemented
113	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#442	C₂²	1	2	yes	complemented
117	C₁₉×#440	C₂²	1	2	yes	complemented
118	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
119	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
123	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
124	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
125	C₁₉×#436	C₂²	1	2	yes	complemented
126	C₁₉×#435	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#433	C₂²	1	2	yes	complemented
129	C₁₉×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#424	C₂²	1	2	yes	complemented
131	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#418	C₂²	1	2	yes	complemented
133	C₁₉×#417	C₂²	1	2	yes	complemented
134	C₁₉×#416	C₂²	1	2	yes	complemented
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	—	2	1	no	—
138	C₂×#41×C₁₉	—	2	1	no	—
139	C₂×#41×C₁₉	C₂³	1	2	yes	—
140	C₂×#41×C₁₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₉	—	2	1	no	—
142	C₂²×D₄×C₁₉	—	2	2	no	—
143	C₂²×D₄×C₁₉	—	2	1	no	—
144	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₉	—	2	1	no	—
148	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
149	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
150	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
154	C₂×D₈×C₁₉	—	4	4	no	—
155	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
157	C₂×D₈×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
159	C₂×D₈×C₁₉	C₂³	1	2	yes	—
160	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
161	C₂×D₈×C₁₉	C₂³	1	2	yes	—
162	C₂×D₈×C₁₉	C₂³	1	2	yes	—
163	C₂×D₈×C₁₉	C₂³	1	2	yes	—
164	C₂×D₈×C₁₉	C₂³	1	2	yes	—
165	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
166	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
167	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×#127	—	2	2	no	—
172	C₁₉×#127	C₂³	1	1	yes	characteristic
173	C₁₉×#127	C₂³	1	1	yes	characteristic
174	C₁₉×#127	C₂³	1	2	yes	—
175	C₁₉×#127	C₂³	1	1	yes	characteristic
176	C₁₉×#127	C₂³	1	2	yes	—
177	C₁₉×#126	—	2	2	no	—
178	C₁₉×#126	—	2	2	no	—
179	C₁₉×#126	—	2	2	no	—
180	C₁₉×#126	D₄	1	2	yes	—
181	C₁₉×#125	D₄	1	1	yes	characteristic
182	C₁₉×#125	C₂³	1	2	yes	—
183	C₁₉×#124	—	2	2	no	—
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	1	no	—
186	C₁₉×#124	—	2	1	no	—
187	C₁₉×#124	D₄	1	1	yes	characteristic
188	C₁₉×#124	C₂³	1	2	yes	—
189	C₁₉×#124	C₂³	1	2	yes	—
190	C₁₉×#123	—	2	2	no	—
191	C₁₉×#123	—	2	2	no	—
192	C₁₉×#123	—	2	2	no	—
193	C₁₉×#123	—	2	2	no	—
194	C₁₉×#123	—	2	2	no	—
195	C₁₉×#123	—	2	2	no	—
196	C₁₉×#123	D₄	1	2	yes	—
197	C₁₉×C₂²⋊Q₈	—	2	1	no	—
198	C₁₉×C₂²⋊Q₈	—	2	1	no	—
199	C₁₉×C₂²⋊Q₈	—	2	2	no	—
200	C₁₉×C₂²⋊Q₈	—	2	2	no	—
201	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
202	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₉×#121	—	2	2	no	—
204	C₁₉×#121	—	2	1	no	—
205	C₁₉×#121	—	2	1	no	—
206	C₁₉×#121	—	2	1	no	—
207	C₁₉×#121	—	2	1	no	—
208	C₁₉×#121	—	2	1	no	—
209	C₁₉×#121	—	2	1	no	—
210	C₁₉×#121	—	2	1	no	—
211	C₁₉×#121	—	2	1	no	—
212	C₁₉×#121	—	2	1	no	—
213	C₁₉×#121	—	2	2	no	—
214	C₁₉×#121	—	2	2	no	—
215	C₁₉×#121	—	2	1	no	—
216	C₁₉×#121	—	2	2	no	—
217	C₁₉×#121	—	2	2	no	—
218	C₁₉×#121	—	2	2	no	—
219	C₁₉×#121	—	2	2	no	—
220	C₁₉×#121	—	2	2	no	—
221	C₁₉×#121	—	2	2	no	—
222	C₁₉×#121	—	2	2	no	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	D₄	1	1	yes	characteristic
225	C₁₉×#121	C₂³	1	2	yes	—
226	C₁₉×#121	C₂³	1	1	yes	characteristic
227	C₁₉×#121	C₂³	1	2	yes	—
228	C₁₉×#121	C₂³	1	2	yes	—
229	C₁₉×#121	C₂³	1	1	yes	characteristic
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#120	—	2	2	no	—
232	C₁₉×#120	—	2	2	no	—
233	C₁₉×#120	—	2	2	no	—
234	C₁₉×#120	—	2	2	no	—
235	C₁₉×#120	—	2	2	no	—
236	C₁₉×#120	—	2	2	no	—
237	C₁₉×#120	—	2	2	no	—
238	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₉	—	2	2	no	—
241	C₄×D₄×C₁₉	—	2	2	no	—
242	C₄×D₄×C₁₉	—	2	2	no	—
243	C₄×D₄×C₁₉	—	2	2	no	—
244	C₄×D₄×C₁₉	—	2	1	no	—
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	1	no	—
247	C₄×D₄×C₁₉	—	2	1	no	—
248	C₄×D₄×C₁₉	—	2	1	no	—
249	C₄×D₄×C₁₉	—	2	1	no	—
250	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₉	C₂³	1	2	yes	—
255	C₄×D₄×C₁₉	C₂³	1	2	yes	—
256	C₄×D₄×C₁₉	C₂³	1	2	yes	—
257	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₉	C₂³	1	2	yes	—
260	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₉	C₂³	1	2	yes	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	C₂³	1	2	yes	—
265	C₁₉×#117	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
270	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
271	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
272	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	1	yes	characteristic
275	C₁₉×#107	C₂³	1	1	yes	characteristic
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#107	C₂³	1	1	yes	characteristic
278	C₁₉×#106	C₂³	1	2	yes	—
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	2	yes	—
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#102	C₂³	1	1	yes	characteristic
292	C₁₉×#102	C₂³	1	2	yes	—
293	C₁₉×#102	C₂³	1	2	yes	—
294	C₁₉×#102	C₂³	1	2	yes	—
295	C₁₉×#102	C₂³	1	1	yes	characteristic
296	C₁₉×#102	C₂³	1	2	yes	—
297	C₁₉×#102	C₂³	1	2	yes	—
298	C₁₉×#102	C₂³	1	1	yes	characteristic
299	C₁₉×#102	C₂³	1	1	yes	characteristic
300	C₁₉×#102	C₂³	1	1	yes	characteristic
301	C₁₉×#102	C₂³	1	1	yes	characteristic
302	C₁₉×#102	C₂³	1	1	yes	characteristic
303	C₁₉×#102	C₂³	1	1	yes	characteristic
304	C₁₉×#102	C₂³	1	2	yes	—
305	C₁₉×#102	C₂³	1	2	yes	—
306	C₁₉×#102	C₂³	1	2	yes	—
307	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	2	yes	—
315	C₂⁴×C₁₉	—	2	1	no	—
316	C₂⁴×C₁₉	—	2	2	no	—
317	C₂⁴×C₁₉	—	2	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	#41×C₁₉	—	4	2	no	—
320	#41×C₁₉	—	4	2	no	—
321	#41×C₁₉	—	4	2	no	—
322	#41×C₁₉	—	8	2	no	—
323	#41×C₁₉	—	8	2	no	—
324	#41×C₁₉	—	8	2	no	—
325	#41×C₁₉	—	8	2	no	—
326	C₂×Q₈×C₁₉	—	2	1	no	—
327	C₂×Q₈×C₁₉	—	2	1	no	—
328	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
330	C₂×D₄×C₁₉	—	2	4	no	—
331	C₂×D₄×C₁₉	—	2	2	no	—
332	C₂×D₄×C₁₉	—	2	2	no	—
333	C₂×D₄×C₁₉	—	2	1	no	—
334	C₂×D₄×C₁₉	—	2	2	no	—
335	C₂×D₄×C₁₉	—	2	2	no	—
336	C₂×D₄×C₁₉	—	2	2	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	—	2	1	no	—
340	C₂×D₄×C₁₉	—	2	2	no	—
341	C₂×D₄×C₁₉	—	2	1	no	—
342	C₂×D₄×C₁₉	—	2	1	no	—
343	C₂×D₄×C₁₉	—	2	1	no	—
344	C₂×D₄×C₁₉	—	2	1	no	—
345	C₂×D₄×C₁₉	—	2	1	no	—
346	C₂×D₄×C₁₉	—	2	2	no	—
347	C₂×D₄×C₁₉	—	2	2	no	—
348	C₂×D₄×C₁₉	—	2	1	no	—
349	C₂×D₄×C₁₉	—	2	1	no	—
350	C₂×D₄×C₁₉	—	2	2	no	—
351	C₂×D₄×C₁₉	—	2	2	no	—
352	C₂×D₄×C₁₉	—	2	2	no	—
353	C₂×D₄×C₁₉	—	4	2	no	—
354	C₂×D₄×C₁₉	—	4	1	no	—
355	C₂×D₄×C₁₉	—	4	2	no	—
356	C₂×D₄×C₁₉	—	4	2	no	—
357	C₂×D₄×C₁₉	—	8	2	no	—
358	C₂×D₄×C₁₉	—	8	2	no	—
359	C₂×D₄×C₁₉	—	8	4	no	—
360	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
361	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
362	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
363	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
364	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
366	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
367	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₉	—	2	1	no	—
369	C₂²×C₄×C₁₉	—	2	1	no	—
370	C₂²×C₄×C₁₉	—	2	1	no	—
371	C₂²×C₄×C₁₉	—	2	1	no	—
372	C₂²×C₄×C₁₉	—	2	1	no	—
373	C₂²×C₄×C₁₉	—	2	1	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	1	no	—
381	C₂²×C₄×C₁₉	—	8	2	no	—
382	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
386	SD₁₆×C₁₉	—	2	4	no	—
387	SD₁₆×C₁₉	—	4	2	no	—
388	SD₁₆×C₁₉	—	4	2	no	—
389	SD₁₆×C₁₉	—	4	2	no	—
390	D₈×C₁₉	—	2	2	no	—
391	D₈×C₁₉	—	2	4	no	—
392	D₈×C₁₉	—	2	2	no	—
393	D₈×C₁₉	—	4	2	no	—
394	D₈×C₁₉	—	4	2	no	—
395	D₈×C₁₉	—	4	1	no	—
396	D₈×C₁₉	—	4	2	no	—
397	D₈×C₁₉	—	4	1	no	—
398	D₈×C₁₉	—	4	2	no	—
399	D₈×C₁₉	—	4	2	no	—
400	M₁₆×C₁₉	—	4	2	no	—
401	M₁₆×C₁₉	—	4	2	no	—
402	C₂×C₈×C₁₉	—	4	2	no	—
403	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
404	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
405	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
406	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	—	2	1	no	—
411	C₄⋊C₄×C₁₉	—	2	2	no	—
412	C₄⋊C₄×C₁₉	—	2	2	no	—
413	C₄⋊C₄×C₁₉	—	2	1	no	—
414	C₄⋊C₄×C₁₉	—	2	2	no	—
415	C₄⋊C₄×C₁₉	—	2	1	no	—
416	C₄⋊C₄×C₁₉	—	2	1	no	—
417	C₄⋊C₄×C₁₉	—	2	2	no	—
418	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
420	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
421	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
422	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
423	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
424	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
425	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
426	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
427	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
428	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	no	—
432	C₂²⋊C₄×C₁₉	—	2	1	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	1	no	—
435	C₂²⋊C₄×C₁₉	—	2	2	no	—
436	C₂²⋊C₄×C₁₉	—	2	1	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	no	—
438	C₂²⋊C₄×C₁₉	—	2	1	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	2	no	—
442	C₂²⋊C₄×C₁₉	—	2	1	no	—
443	C₂²⋊C₄×C₁₉	—	2	2	no	—
444	C₂²⋊C₄×C₁₉	—	2	2	no	—
445	C₂²⋊C₄×C₁₉	—	2	2	no	—
446	C₂²⋊C₄×C₁₉	—	2	2	no	—
447	C₂²⋊C₄×C₁₉	—	2	2	no	—
448	C₂²⋊C₄×C₁₉	—	2	1	no	—
449	C₂²⋊C₄×C₁₉	—	2	2	no	—
450	C₂²⋊C₄×C₁₉	—	2	1	no	—
451	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
452	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
453	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
454	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
455	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
456	C₄²×C₁₉	—	2	2	no	—
457	C₄²×C₁₉	—	2	2	no	—
458	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
459	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
460	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
461	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
462	C₄²×C₁₉	C₂⁴	1	2	yes	—
463	#62040	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
464	C₂³×C₁₉	—	2	1	no	—
465	C₂³×C₁₉	—	2	1	no	—
466	C₂³×C₁₉	—	2	2	no	—
467	C₂³×C₁₉	—	2	1	no	—
468	C₂³×C₁₉	—	2	2	no	—
469	C₂³×C₁₉	—	2	1	no	—
470	C₂³×C₁₉	—	4	2	no	—
471	C₂³×C₁₉	—	4	4	no	—
472	C₂³×C₁₉	—	4	2	no	—
473	C₂³×C₁₉	—	8	1	no	—
474	C₂³×C₁₉	—	8	2	no	—
475	C₂³×C₁₉	—	8	2	no	—
476	C₂³×C₁₉	—	8	2	no	—
477	C₂³×C₁₉	—	8	2	no	—
478	C₂³×C₁₉	—	8	2	no	—
479	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
480	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
481	Q₈×C₁₉	—	2	2	no	—
482	Q₈×C₁₉	—	2	2	no	—
483	Q₈×C₁₉	—	2	2	no	—
484	Q₈×C₁₉	—	8	1	no	—
485	Q₈×C₁₉	—	8	1	no	—
486	D₄×C₁₉	—	2	2	no	—
487	D₄×C₁₉	—	2	1	no	—
488	D₄×C₁₉	—	2	2	no	—
489	D₄×C₁₉	—	2	1	no	—
490	D₄×C₁₉	—	2	2	no	—
491	D₄×C₁₉	—	2	1	no	—
492	D₄×C₁₉	—	2	1	no	—
493	D₄×C₁₉	—	2	1	no	—
494	D₄×C₁₉	—	2	2	no	—
495	D₄×C₁₉	—	2	1	no	—
496	D₄×C₁₉	—	2	2	no	—
497	D₄×C₁₉	—	2	1	no	—
498	D₄×C₁₉	—	4	2	no	—
499	D₄×C₁₉	—	4	2	no	—
500	D₄×C₁₉	—	4	4	no	—
501	D₄×C₁₉	—	4	4	no	—
502	D₄×C₁₉	—	4	2	no	—
503	D₄×C₁₉	—	4	2	no	—
504	D₄×C₁₉	—	8	1	no	—
505	D₄×C₁₉	—	8	1	no	—
506	D₄×C₁₉	—	8	2	no	—
507	D₄×C₁₉	—	8	2	no	—
508	D₄×C₁₉	—	8	2	no	—
509	D₄×C₁₉	—	8	1	no	—
510	D₄×C₁₉	—	8	1	no	—
511	D₄×C₁₉	—	8	2	no	—
512	D₄×C₁₉	—	8	2	no	—
513	D₄×C₁₉	—	8	2	no	—
514	D₄×C₁₉	—	8	2	no	—
515	D₄×C₁₉	—	8	2	no	—
516	D₄×C₁₉	—	8	2	no	—
517	D₄×C₁₉	—	8	2	no	—
518	D₄×C₁₉	—	8	1	no	—
519	D₄×C₁₉	—	8	1	no	—
520	D₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
521	C₂×C₄×C₁₉	—	2	2	no	—
522	C₂×C₄×C₁₉	—	2	2	no	—
523	C₂×C₄×C₁₉	—	2	1	no	—
524	C₂×C₄×C₁₉	—	2	2	no	—
525	C₂×C₄×C₁₉	—	2	1	no	—
526	C₂×C₄×C₁₉	—	2	1	no	—
527	C₂×C₄×C₁₉	—	2	1	no	—
528	C₂×C₄×C₁₉	—	2	2	no	—
529	C₂×C₄×C₁₉	—	2	2	no	—
530	C₂×C₄×C₁₉	—	2	1	no	—
531	C₂×C₄×C₁₉	—	2	1	no	—
532	C₂×C₄×C₁₉	—	4	1	no	—
533	C₂×C₄×C₁₉	—	4	2	no	—
534	C₂×C₄×C₁₉	—	4	2	no	—
535	C₂×C₄×C₁₉	—	4	2	no	—
536	C₂×C₄×C₁₉	—	4	2	no	—
537	C₂×C₄×C₁₉	—	8	1	no	—
538	C₂×C₄×C₁₉	—	8	1	no	—
539	C₂×C₄×C₁₉	—	8	2	no	—
540	C₂×C₄×C₁₉	—	8	2	no	—
541	C₂×C₄×C₁₉	—	8	2	no	—
542	C₂×C₄×C₁₉	—	8	2	no	—
543	C₂×C₄×C₁₉	—	8	2	no	—
544	C₂×C₄×C₁₉	—	8	2	no	—
545	C₂×C₄×C₁₉	—	8	1	no	—
546	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
555	C₈×C₁₉	—	2	1	no	—
556	C₈×C₁₉	—	2	2	no	—
557	C₈×C₁₉	—	2	1	no	—
558	C₈×C₁₉	—	2	2	no	—
559	C₈×C₁₉	—	2	1	no	—
560	C₈×C₁₉	—	2	1	no	—
561	#3546	C₂×C₁₉	1	1	yes	characteristic, complemented
562	#3519	C₂×C₁₉	1	1	yes	characteristic, complemented
563	#3397	C₂×C₁₉	1	1	yes	characteristic, complemented
564	#3391	C₂×C₁₉	1	1	yes	characteristic, complemented
565	#3366	C₂×C₁₉	1	1	yes	characteristic, complemented
566	#3360	C₂×C₁₉	1	1	yes	characteristic, complemented
567	#3325	C₂×C₁₉	1	1	yes	characteristic, complemented
568	#3322	C₂×C₁₉	1	2	yes	complemented
569	#3309	C₂×C₁₉	1	2	yes	complemented
570	#3303	C₂×C₁₉	1	1	yes	characteristic, complemented
571	D₄×D₈	C₂×C₁₉	1	1	yes	characteristic, complemented
572	#3274	C₂×C₁₉	1	2	yes	complemented
573	#3272	C₂×C₁₉	1	1	yes	characteristic, complemented
574	#3264	C₂×C₁₉	1	2	yes	complemented
575	#3257	C₂×C₁₉	1	2	yes	complemented
576	#3253	C₂×C₁₉	1	1	yes	characteristic, complemented
577	#3220	C₂×C₁₉	1	2	yes	complemented
578	#3207	C₂×C₁₉	1	1	yes	characteristic, complemented
579	#3118	C₂×C₁₉	1	2	yes	complemented
580	#3100	C₂×C₁₉	1	1	yes	characteristic, complemented
581	#3041	C₂×C₁₉	1	2	yes	complemented
582	#3036	C₂×C₁₉	1	1	yes	characteristic, complemented
583	#2993	C₂×C₁₉	1	1	yes	characteristic, complemented
584	C₂²×C₁₉	—	2	1	no	—
585	C₂²×C₁₉	—	2	2	no	—
586	C₂²×C₁₉	—	2	1	no	—
587	C₂²×C₁₉	—	2	2	no	—
588	C₂²×C₁₉	—	2	2	no	—
589	C₂²×C₁₉	—	2	1	no	—
590	C₂²×C₁₉	—	2	2	no	—
591	C₂²×C₁₉	—	4	1	no	—
592	C₂²×C₁₉	—	4	1	no	—
593	C₂²×C₁₉	—	4	2	no	—
594	C₂²×C₁₉	—	4	1	no	—
595	C₂²×C₁₉	—	4	1	no	—
596	C₂²×C₁₉	—	4	2	no	—
597	C₂²×C₁₉	—	4	1	no	—
598	C₂²×C₁₉	—	4	1	no	—
599	C₂²×C₁₉	—	4	2	no	—
600	C₂²×C₁₉	—	4	1	no	—
601	C₂²×C₁₉	—	4	2	no	—
602	C₂²×C₁₉	—	4	1	no	—
603	C₂²×C₁₉	—	4	1	no	—
604	C₂²×C₁₉	—	4	1	no	—
605	C₂²×C₁₉	—	4	1	no	—
606	C₂²×C₁₉	—	4	2	no	—
607	C₂²×C₁₉	—	4	2	no	—
608	C₂²×C₁₉	—	8	4	no	—
609	C₂²×C₁₉	—	16	4	no	—
610	C₂²×C₁₉	—	16	4	no	—
611	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
612	C₄×C₁₉	—	2	1	no	—
613	C₄×C₁₉	—	2	1	no	—
614	C₄×C₁₉	—	2	2	no	—
615	C₄×C₁₉	—	2	1	no	—
616	C₄×C₁₉	—	2	2	no	—
617	C₄×C₁₉	—	2	1	no	—
618	C₄×C₁₉	—	2	2	no	—
619	C₄×C₁₉	—	4	2	no	—
620	C₄×C₁₉	—	4	2	no	—
621	C₄×C₁₉	—	4	1	no	—
622	C₄×C₁₉	—	4	1	no	—
623	C₄×C₁₉	—	4	1	no	—
624	C₄×C₁₉	—	4	1	no	—
625	C₄×C₁₉	#576	1	2	yes	—
626	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
627	C₄×C₁₉	#585	1	1	yes	characteristic
628	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
629	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
630	C₂²×D₈	C₂²×C₁₉	1	2	yes	—
631	#560	—	2	2	no	—
632	#556	C₂²×C₁₉	1	1	yes	characteristic, complemented
633	#555	C₂²×C₁₉	1	1	yes	characteristic
634	#554	C₂²×C₁₉	1	1	yes	characteristic, complemented
635	#553	—	2	1	no	—
636	#553	—	2	1	no	—
637	#553	C₂²×C₁₉	1	2	yes	complemented
638	#550	C₂²×C₁₉	1	2	yes	complemented
639	#550	C₂²×C₁₉	1	1	yes	characteristic, complemented
640	#550	C₂²×C₁₉	1	1	yes	characteristic, complemented
641	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
642	#546	—	2	1	no	—
643	#546	—	2	1	no	—
644	#546	—	2	2	no	—
645	#546	C₂²×C₁₉	1	2	yes	complemented
646	D₄²	C₂²×C₁₉	1	1	yes	characteristic
647	D₄²	C₂²×C₁₉	1	2	yes	complemented
648	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#542	C₂²×C₁₉	1	2	yes	complemented
650	#540	C₂²×C₁₉	1	2	yes	complemented
651	#538	—	2	2	no	—
652	#538	—	2	2	no	—
653	#537	—	2	1	no	—
654	#535	—	2	1	no	—
655	#535	C₂²×C₁₉	1	2	yes	complemented
656	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
657	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
658	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
659	#529	C₂²×C₁₉	1	1	yes	characteristic
660	#525	—	2	1	no	—
661	C₂×#121	—	2	1	no	—
662	#518	C₂²×C₁₉	1	2	yes	complemented
663	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
664	#496	C₂²×C₁₉	1	2	yes	complemented
665	#493	C₂²×C₁₉	1	1	yes	characteristic, complemented
666	#493	C₂²×C₁₉	1	2	yes	complemented
667	#492	C₂²×C₁₉	1	1	yes	characteristic, complemented
668	#490	C₂²×C₁₉	1	2	yes	complemented
669	#488	C₂²×C₁₉	1	2	yes	complemented
670	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
671	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
672	#485	C₂²×C₁₉	1	2	yes	complemented
673	#482	C₂²×C₁₉	1	2	yes	complemented
674	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
675	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
676	#479	C₂²×C₁₉	1	2	yes	complemented
677	#478	C₂²×C₁₉	1	2	yes	complemented
678	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
679	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
680	#476	C₂²×C₁₉	1	2	yes	complemented
681	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
682	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
683	#469	C₂²×C₁₉	1	2	yes	complemented
684	#469	C₂²×C₁₉	1	2	yes	complemented
685	#469	C₂²×C₁₉	1	2	yes	complemented
686	#468	C₂²×C₁₉	1	2	yes	complemented
687	#466	C₂²×C₁₉	1	2	yes	complemented
688	#465	C₂²×C₁₉	1	2	yes	complemented
689	#463	C₂²×C₁₉	1	2	yes	—
690	#463	C₂²×C₁₉	1	2	yes	complemented
691	#463	C₂²×C₁₉	1	2	yes	complemented
692	#463	C₂²×C₁₉	1	2	yes	complemented
693	#463	C₂²×C₁₉	1	2	yes	complemented
694	#463	C₂²×C₁₉	1	2	yes	complemented
695	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
696	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
697	#460	C₂²×C₁₉	1	2	yes	complemented
698	#459	C₂²×C₁₉	1	1	yes	characteristic
699	#459	C₂²×C₁₉	1	1	yes	characteristic
700	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
701	#459	C₂²×C₁₉	1	2	yes	complemented
702	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
703	#459	C₂²×C₁₉	1	2	yes	complemented
704	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
705	#459	C₂²×C₁₉	1	2	yes	complemented
706	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
707	#459	C₂²×C₁₉	1	2	yes	complemented
708	#450	C₂²×C₁₉	1	2	yes	complemented
709	#449	C₂²×C₁₉	1	2	yes	complemented
710	#449	C₂²×C₁₉	1	2	yes	complemented
711	#449	C₂²×C₁₉	1	2	yes	complemented
712	#449	C₂²×C₁₉	1	2	yes	complemented
713	#447	C₂²×C₁₉	1	1	yes	characteristic
714	#447	C₂²×C₁₉	1	2	yes	—
715	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
716	#447	C₂²×C₁₉	1	2	yes	complemented
717	#447	C₂²×C₁₉	1	2	yes	complemented
718	#446	C₂²×C₁₉	1	1	yes	characteristic, complemented
719	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
720	#442	C₂²×C₁₉	1	2	yes	complemented
721	#440	C₂²×C₁₉	1	2	yes	complemented
722	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
723	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
724	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
725	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
726	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
727	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
728	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
729	#436	C₂²×C₁₉	1	2	yes	complemented
730	#435	C₂²×C₁₉	1	2	yes	complemented
731	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
732	#433	C₂²×C₁₉	1	2	yes	complemented
733	#431	C₂²×C₁₉	1	1	yes	characteristic, complemented
734	#424	C₂²×C₁₉	1	2	yes	complemented
735	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
736	#418	C₂²×C₁₉	1	2	yes	complemented
737	#417	C₂²×C₁₉	1	2	yes	complemented
738	#416	C₂²×C₁₉	1	2	yes	complemented
739	C₂×C₁₉	—	4	1	no	—
740	C₂×C₁₉	—	4	2	no	—
741	C₂×C₁₉	—	4	2	no	—
742	C₂×C₁₉	—	8	1	no	—
743	C₂×C₁₉	—	8	1	no	—
744	C₂×C₁₉	—	8	2	no	—
745	C₂×C₁₉	—	8	2	no	—
746	C₂×C₁₉	—	8	1	no	—
747	C₂×C₁₉	#3488	1	1	yes	characteristic
748	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
749	C₂×C₁₉	#3585	1	1	yes	characteristic
750	C₂×#41	—	2	1	no	—
751	C₂×#41	—	2	1	no	—
752	C₂×#41	—	2	1	no	—
753	C₂×#41	—	2	1	no	—
754	C₂×#41	C₂³×C₁₉	1	2	yes	—
755	C₂×#41	C₂³×C₁₉	1	2	yes	—
756	C₂²×D₄	—	2	1	no	—
757	C₂²×D₄	—	2	2	no	—
758	C₂²×D₄	—	2	1	no	—
759	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
760	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
761	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
762	C₂³×C₄	—	2	1	no	—
763	AGL(1,ℤ/8)	—	4	4	no	—
764	AGL(1,ℤ/8)	—	4	4	no	—
765	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
766	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
767	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
768	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
769	C₂×D₈	—	4	4	no	—
770	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
771	C₂×D₈	C₂³×C₁₉	1	2	yes	—
772	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
773	C₂×D₈	C₂³×C₁₉	1	2	yes	—
774	C₂×D₈	C₂³×C₁₉	1	2	yes	—
775	C₂×D₈	C₂³×C₁₉	1	2	yes	—
776	C₂×D₈	C₂³×C₁₉	1	2	yes	—
777	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
778	C₂×D₈	C₂³×C₁₉	1	2	yes	—
779	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
780	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
781	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
782	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
783	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
784	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
785	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
786	#127	—	2	2	no	—
787	#127	C₂³×C₁₉	1	1	yes	characteristic
788	#127	C₂³×C₁₉	1	1	yes	characteristic
789	#127	C₂³×C₁₉	1	1	yes	characteristic
790	#127	C₂³×C₁₉	1	2	yes	—
791	#127	C₂³×C₁₉	1	2	yes	—
792	#126	—	2	2	no	—
793	#126	—	2	2	no	—
794	#126	—	2	2	no	—
795	#126	D₄×C₁₉	1	2	yes	—
796	#125	D₄×C₁₉	1	1	yes	characteristic
797	#125	C₂³×C₁₉	1	2	yes	—
798	#124	—	2	2	no	—
799	#124	—	2	2	no	—
800	#124	—	2	1	no	—
801	#124	—	2	1	no	—
802	#124	D₄×C₁₉	1	1	yes	characteristic
803	#124	C₂³×C₁₉	1	2	yes	—
804	#124	C₂³×C₁₉	1	2	yes	—
805	#123	—	2	2	no	—
806	#123	—	2	2	no	—
807	#123	—	2	2	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	—	2	2	no	—
811	#123	D₄×C₁₉	1	2	yes	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	2	no	—
815	C₂²⋊Q₈	—	2	2	no	—
816	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
817	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
818	#121	—	2	2	no	—
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	2	no	—
829	#121	—	2	2	no	—
830	#121	—	2	1	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	—	2	2	no	—
835	#121	—	2	2	no	—
836	#121	—	2	2	no	—
837	#121	—	2	2	no	—
838	#121	—	2	2	no	—
839	#121	D₄×C₁₉	1	1	yes	characteristic
840	#121	C₂³×C₁₉	1	2	yes	—
841	#121	C₂³×C₁₉	1	1	yes	characteristic
842	#121	C₂³×C₁₉	1	1	yes	characteristic
843	#121	C₂³×C₁₉	1	2	yes	—
844	#121	C₂³×C₁₉	1	2	yes	—
845	#121	C₂³×C₁₉	1	2	yes	—
846	#120	—	2	2	no	—
847	#120	—	2	2	no	—
848	#120	—	2	2	no	—
849	#120	—	2	2	no	—
850	#120	—	2	2	no	—
851	#120	—	2	2	no	—
852	#120	—	2	2	no	—
853	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
854	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
855	C₄×D₄	—	2	2	no	—
856	C₄×D₄	—	2	2	no	—
857	C₄×D₄	—	2	2	no	—
858	C₄×D₄	—	2	2	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
866	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
867	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
868	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
869	C₄×D₄	C₂³×C₁₉	1	2	yes	—
870	C₄×D₄	C₂³×C₁₉	1	2	yes	—
871	C₄×D₄	C₂³×C₁₉	1	2	yes	—
872	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
873	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
874	C₄×D₄	C₂³×C₁₉	1	2	yes	—
875	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
876	C₄×D₄	C₂³×C₁₉	1	2	yes	—
877	#117	—	2	1	no	—
878	#117	—	2	1	no	—
879	#117	C₂³×C₁₉	1	2	yes	—
880	#117	C₂³×C₁₉	1	2	yes	—
881	C₂×C₄⋊C₄	—	2	1	no	—
882	C₂×C₄⋊C₄	—	2	1	no	—
883	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	—	2	1	no	—
885	C₂×C₂²⋊C₄	—	2	2	no	—
886	C₂×C₂²⋊C₄	—	2	2	no	—
887	C₂×C₂²⋊C₄	—	2	2	no	—
888	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
889	#107	C₂³×C₁₉	1	1	yes	characteristic
890	#107	C₂³×C₁₉	1	1	yes	characteristic
891	#107	C₂³×C₁₉	1	1	yes	characteristic
892	#107	C₂³×C₁₉	1	1	yes	characteristic
893	#106	C₂³×C₁₉	1	2	yes	—
894	#106	C₂³×C₁₉	1	2	yes	—
895	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
896	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
897	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
898	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
899	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
900	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
901	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
902	#103	C₂³×C₁₉	1	2	yes	—
903	#103	C₂³×C₁₉	1	2	yes	—
904	#103	C₂³×C₁₉	1	2	yes	—
905	#103	C₂³×C₁₉	1	2	yes	—
906	#102	C₂³×C₁₉	1	1	yes	characteristic
907	#102	C₂³×C₁₉	1	2	yes	—
908	#102	C₂³×C₁₉	1	2	yes	—
909	#102	C₂³×C₁₉	1	2	yes	—
910	#102	C₂³×C₁₉	1	1	yes	characteristic
911	#102	C₂³×C₁₉	1	2	yes	—
912	#102	C₂³×C₁₉	1	2	yes	—
913	#102	C₂³×C₁₉	1	1	yes	characteristic
914	#102	C₂³×C₁₉	1	1	yes	characteristic
915	#102	C₂³×C₁₉	1	1	yes	characteristic
916	#102	C₂³×C₁₉	1	1	yes	characteristic
917	#102	C₂³×C₁₉	1	1	yes	characteristic
918	#102	C₂³×C₁₉	1	1	yes	characteristic
919	#102	C₂³×C₁₉	1	2	yes	—
920	#102	C₂³×C₁₉	1	2	yes	—
921	#102	C₂³×C₁₉	1	2	yes	—
922	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
923	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
924	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
925	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
926	#97	C₂³×C₁₉	1	2	yes	—
927	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
928	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
929	C₄×C₈	C₂³×C₁₉	1	2	yes	—
930	C₁₉	#62040	1	1	yes	characteristic, direct product factor, Sylow
931	C₂⁴	—	2	1	no	—
932	C₂⁴	—	2	2	no	—
933	C₂⁴	—	2	2	no	—
934	#41	—	4	2	no	—
935	#41	—	4	2	no	—
936	#41	—	4	2	no	—
937	#41	—	4	2	no	—
938	#41	—	8	2	no	—
939	#41	—	8	2	no	—
940	#41	—	8	2	no	—
941	#41	—	8	2	no	—
942	C₂×Q₈	—	2	1	no	—
943	C₂×Q₈	—	2	1	no	—
944	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
945	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
946	C₂×D₄	—	2	4	no	—
947	C₂×D₄	—	2	2	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	1	no	—
950	C₂×D₄	—	2	2	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	1	no	—
956	C₂×D₄	—	2	2	no	—
957	C₂×D₄	—	2	1	no	—
958	C₂×D₄	—	2	1	no	—
959	C₂×D₄	—	2	1	no	—
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	1	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	1	no	—
965	C₂×D₄	—	2	1	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	1	no	—
971	C₂×D₄	—	4	2	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	8	2	no	—
974	C₂×D₄	—	8	2	no	—
975	C₂×D₄	—	8	4	no	—
976	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
977	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
978	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
979	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
980	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
981	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
982	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
983	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	—	2	1	no	—
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	8	2	no	—
998	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
999	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1002	SD₁₆	—	2	4	no	—
1003	SD₁₆	—	4	2	no	—
1004	SD₁₆	—	4	2	no	—
1005	SD₁₆	—	4	2	no	—
1006	D₈	—	2	2	no	—
1007	D₈	—	2	4	no	—
1008	D₈	—	2	2	no	—
1009	D₈	—	4	2	no	—
1010	D₈	—	4	2	no	—
1011	D₈	—	4	1	no	—
1012	D₈	—	4	2	no	—
1013	D₈	—	4	1	no	—
1014	D₈	—	4	2	no	—
1015	D₈	—	4	2	no	—
1016	M₁₆	—	4	2	no	—
1017	M₁₆	—	4	2	no	—
1018	C₂×C₈	—	4	2	no	—
1019	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1020	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1021	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1022	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1023	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1024	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1025	C₄⋊C₄	—	2	1	no	—
1026	C₄⋊C₄	—	2	1	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1035	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1036	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1037	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1038	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1039	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1040	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1042	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1043	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1044	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	1	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	1	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	1	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1068	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1069	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1070	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1071	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1072	C₄²	—	2	2	no	—
1073	C₄²	—	2	2	no	—
1074	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1075	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1076	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1077	C₄²	C₂⁴×C₁₉	1	2	yes	—
1078	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	2	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	2	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	4	2	no	—
1086	C₂³	—	4	4	no	—
1087	C₂³	—	4	2	no	—
1088	C₂³	—	8	1	no	—
1089	C₂³	—	8	2	no	—
1090	C₂³	—	8	2	no	—
1091	C₂³	—	8	2	no	—
1092	C₂³	—	8	2	no	—
1093	C₂³	—	8	2	no	—
1094	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1095	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1096	Q₈	—	2	2	no	—
1097	Q₈	—	2	2	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	8	1	no	—
1100	Q₈	—	8	1	no	—
1101	D₄	—	2	2	no	—
1102	D₄	—	2	1	no	—
1103	D₄	—	2	2	no	—
1104	D₄	—	2	1	no	—
1105	D₄	—	2	2	no	—
1106	D₄	—	2	1	no	—
1107	D₄	—	2	1	no	—
1108	D₄	—	2	1	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	1	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	1	no	—
1113	D₄	—	4	2	no	—
1114	D₄	—	4	2	no	—
1115	D₄	—	4	4	no	—
1116	D₄	—	4	4	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	4	2	no	—
1119	D₄	—	8	2	no	—
1120	D₄	—	8	2	no	—
1121	D₄	—	8	1	no	—
1122	D₄	—	8	2	no	—
1123	D₄	—	8	2	no	—
1124	D₄	—	8	1	no	—
1125	D₄	—	8	1	no	—
1126	D₄	—	8	1	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	2	no	—
1129	D₄	—	8	2	no	—
1130	D₄	—	8	2	no	—
1131	D₄	—	8	2	no	—
1132	D₄	—	8	2	no	—
1133	D₄	—	8	1	no	—
1134	D₄	—	8	1	no	—
1135	D₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	2	no	—
1149	C₂×C₄	—	4	2	no	—
1150	C₂×C₄	—	4	2	no	—
1151	C₂×C₄	—	4	2	no	—
1152	C₂×C₄	—	8	1	no	—
1153	C₂×C₄	—	8	1	no	—
1154	C₂×C₄	—	8	2	no	—
1155	C₂×C₄	—	8	2	no	—
1156	C₂×C₄	—	8	2	no	—
1157	C₂×C₄	—	8	2	no	—
1158	C₂×C₄	—	8	2	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	—	8	1	no	—
1161	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1162	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1163	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1164	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1165	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1166	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1167	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1168	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1169	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1170	C₈	—	2	1	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	2	1	no	—
1173	C₈	—	2	2	no	—
1174	C₈	—	2	1	no	—
1175	C₈	—	2	1	no	—
1176	C₂²	—	2	1	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	1	no	—
1180	C₂²	—	2	2	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	4	1	no	—
1184	C₂²	—	4	1	no	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	4	2	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	2	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	8	4	no	—
1201	C₂²	—	16	4	no	—
1202	C₂²	—	16	4	no	—
1203	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1204	C₄	—	2	1	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	4	2	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	4	1	no	—
1216	C₄	—	4	2	no	—
1217	C₄	C₁₉×#576	1	2	yes	—
1218	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1219	C₄	C₁₉×#585	1	1	yes	characteristic
1220	C₂	—	4	1	no	—
1221	C₂	—	4	2	no	—
1222	C₂	—	4	2	no	—
1223	C₂	—	8	1	no	—
1224	C₂	—	8	1	no	—
1225	C₂	—	8	2	no	—
1226	C₂	—	8	2	no	—
1227	C₂	—	8	1	no	—
1228	C₂	C₁₉×#3488	1	1	yes	characteristic
1229	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1230	C₂	C₁₉×#3585	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 ◁ C₁₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3546	C₂	semidirect
2. C₁₉×#3519	C₂	semidirect
3. C₁₉×#3397	C₂	semidirect
4. C₁₉×#3391	C₂	semidirect
5. C₁₉×#3366	C₂	semidirect
6. C₁₉×#3360	C₂	semidirect
7. C₁₉×#3325	C₂	semidirect
8. C₁₉×#3322	C₂	semidirect
9. C₁₉×#3309	C₂	semidirect
10. C₁₉×#3303	C₂	semidirect
11. D₄×D₈×C₁₉	C₂	semidirect
12. C₁₉×#3274	C₂	semidirect
13. C₁₉×#3272	C₂	semidirect
14. C₁₉×#3264	C₂	semidirect
15. C₁₉×#3257	C₂	semidirect
16. C₁₉×#3253	C₂	semidirect
17. C₁₉×#3220	C₂	semidirect
18. C₁₉×#3207	C₂	semidirect
19. C₁₉×#3118	C₂	semidirect
20. C₁₉×#3100	C₂	semidirect
21. C₁₉×#3041	C₂	semidirect
22. C₁₉×#3036	C₂	semidirect
23. C₁₉×#2993	C₂	semidirect
24. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
28. C₁₉×#556	C₂²	semidirect
30. C₁₉×#554	C₂²	semidirect
33. C₁₉×#553	C₂²	semidirect
34. C₁₉×#550	C₂²	semidirect
35. C₁₉×#550	C₂²	semidirect
36. C₁₉×#550	C₂²	semidirect
37. C₁₉×#547	C₂²	semidirect
41. C₁₉×#546	C₂²	semidirect
43. D₄²×C₁₉	C₂²	semidirect
44. D₄²×C₁₉	C₂²	semidirect
45. C₁₉×#542	C₂²	semidirect
46. C₁₉×#540	C₂²	semidirect
51. C₁₉×#535	C₂²	semidirect
52. C₁₉×#532	C₂²	semidirect
53. C₁₉×#532	C₂²	semidirect
54. C₁₉×#532	C₂²	semidirect
58. C₁₉×#518	C₂²	semidirect
59. C₂×C₄×D₄×C₁₉	C₂²	semidirect
60. C₁₉×#496	C₂²	semidirect
61. C₁₉×#493	C₂²	semidirect
62. C₁₉×#493	C₂²	semidirect
63. C₁₉×#492	C₂²	semidirect
64. C₁₉×#490	C₂²	semidirect
65. C₁₉×#488	C₂²	semidirect
66. C₁₉×#487	C₂²	semidirect
67. C₁₉×#486	C₂²	semidirect
68. C₁₉×#485	C₂²	semidirect
69. C₁₉×#482	C₂²	semidirect
70. C₁₉×#480	C₂²	semidirect
71. C₁₉×#480	C₂²	semidirect
72. C₁₉×#479	C₂²	semidirect
73. C₁₉×#478	C₂²	semidirect
74. C₁₉×#476	C₂²	semidirect
75. C₁₉×#476	C₂²	semidirect
76. C₁₉×#476	C₂²	semidirect
77. C₁₉×#474	C₂²	semidirect
78. C₁₉×#474	C₂²	semidirect
79. C₁₉×#469	C₂²	semidirect
80. C₁₉×#469	C₂²	semidirect
81. C₁₉×#469	C₂²	semidirect
82. C₁₉×#468	C₂²	semidirect
83. C₁₉×#466	C₂²	semidirect
84. C₁₉×#465	C₂²	semidirect
86. C₁₉×#463	C₂²	semidirect
87. C₁₉×#463	C₂²	semidirect
88. C₁₉×#463	C₂²	semidirect
89. C₁₉×#463	C₂²	semidirect
90. C₁₉×#463	C₂²	semidirect
91. C₁₉×#461	C₂²	semidirect
92. C₁₉×#461	C₂²	semidirect
93. C₁₉×#460	C₂²	semidirect
96. C₁₉×#459	C₂²	semidirect
97. C₁₉×#459	C₂²	semidirect
98. C₁₉×#459	C₂²	semidirect
99. C₁₉×#459	C₂²	semidirect
100. C₁₉×#459	C₂²	semidirect
101. C₁₉×#459	C₂²	semidirect
102. C₁₉×#459	C₂²	semidirect
103. C₁₉×#459	C₂²	semidirect
104. C₁₉×#450	C₂²	semidirect
105. C₁₉×#449	C₂²	semidirect
106. C₁₉×#449	C₂²	semidirect
107. C₁₉×#449	C₂²	semidirect
108. C₁₉×#449	C₂²	semidirect
111. C₁₉×#447	C₂²	semidirect
112. C₁₉×#447	C₂²	semidirect
113. C₁₉×#447	C₂²	semidirect
114. C₁₉×#446	C₂²	semidirect
115. C₈×Q₈×C₁₉	C₂²	semidirect
116. C₁₉×#442	C₂²	semidirect
117. C₁₉×#440	C₂²	semidirect
118. C₄×SD₁₆×C₁₉	C₂²	semidirect
120. C₄×D₈×C₁₉	C₂²	semidirect
121. C₄×D₈×C₁₉	C₂²	semidirect
122. C₄×D₈×C₁₉	C₂²	semidirect
123. C₄×D₈×C₁₉	C₂²	semidirect
124. C₁₉×#436	C₂²	semidirect
125. C₁₉×#436	C₂²	semidirect
126. C₁₉×#435	C₂²	semidirect
127. C₈×D₄×C₁₉	C₂²	semidirect
128. C₁₉×#433	C₂²	semidirect
129. C₁₉×#431	C₂²	semidirect
130. C₁₉×#424	C₂²	semidirect
131. C₁₉×#423	C₂²	semidirect
132. C₁₉×#418	C₂²	semidirect
133. C₁₉×#417	C₂²	semidirect
134. C₁₉×#416	C₂²	semidirect
463. #62040	C₁₉	direct (N × H)
561. #3546	C₂×C₁₉	semidirect
562. #3519	C₂×C₁₉	semidirect
563. #3397	C₂×C₁₉	semidirect
564. #3391	C₂×C₁₉	semidirect
565. #3366	C₂×C₁₉	semidirect
566. #3360	C₂×C₁₉	semidirect
567. #3325	C₂×C₁₉	semidirect
568. #3322	C₂×C₁₉	semidirect
569. #3309	C₂×C₁₉	semidirect
570. #3303	C₂×C₁₉	semidirect
571. D₄×D₈	C₂×C₁₉	semidirect
572. #3274	C₂×C₁₉	semidirect
573. #3272	C₂×C₁₉	semidirect
574. #3264	C₂×C₁₉	semidirect
575. #3257	C₂×C₁₉	semidirect
576. #3253	C₂×C₁₉	semidirect
577. #3220	C₂×C₁₉	semidirect
578. #3207	C₂×C₁₉	semidirect
579. #3118	C₂×C₁₉	semidirect
580. #3100	C₂×C₁₉	semidirect
581. #3041	C₂×C₁₉	semidirect
582. #3036	C₂×C₁₉	semidirect
583. #2993	C₂×C₁₉	semidirect
628. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
629. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
632. #556	C₂²×C₁₉	semidirect
634. #554	C₂²×C₁₉	semidirect
637. #553	C₂²×C₁₉	semidirect
638. #550	C₂²×C₁₉	semidirect
639. #550	C₂²×C₁₉	semidirect
640. #550	C₂²×C₁₉	semidirect
641. #547	C₂²×C₁₉	semidirect
645. #546	C₂²×C₁₉	semidirect
647. D₄²	C₂²×C₁₉	semidirect
648. D₄²	C₂²×C₁₉	semidirect
649. #542	C₂²×C₁₉	semidirect
650. #540	C₂²×C₁₉	semidirect
655. #535	C₂²×C₁₉	semidirect
656. #532	C₂²×C₁₉	semidirect
657. #532	C₂²×C₁₉	semidirect
658. #532	C₂²×C₁₉	semidirect
662. #518	C₂²×C₁₉	semidirect
663. C₂×C₄×D₄	C₂²×C₁₉	semidirect
664. #496	C₂²×C₁₉	semidirect
665. #493	C₂²×C₁₉	semidirect
666. #493	C₂²×C₁₉	semidirect
667. #492	C₂²×C₁₉	semidirect
668. #490	C₂²×C₁₉	semidirect
669. #488	C₂²×C₁₉	semidirect
670. #487	C₂²×C₁₉	semidirect
671. #486	C₂²×C₁₉	semidirect
672. #485	C₂²×C₁₉	semidirect
673. #482	C₂²×C₁₉	semidirect
674. #480	C₂²×C₁₉	semidirect
675. #480	C₂²×C₁₉	semidirect
676. #479	C₂²×C₁₉	semidirect
677. #478	C₂²×C₁₉	semidirect
678. #476	C₂²×C₁₉	semidirect
679. #476	C₂²×C₁₉	semidirect
680. #476	C₂²×C₁₉	semidirect
681. #474	C₂²×C₁₉	semidirect
682. #474	C₂²×C₁₉	semidirect
683. #469	C₂²×C₁₉	semidirect
684. #469	C₂²×C₁₉	semidirect
685. #469	C₂²×C₁₉	semidirect
686. #468	C₂²×C₁₉	semidirect
687. #466	C₂²×C₁₉	semidirect
688. #465	C₂²×C₁₉	semidirect
690. #463	C₂²×C₁₉	semidirect
691. #463	C₂²×C₁₉	semidirect
692. #463	C₂²×C₁₉	semidirect
693. #463	C₂²×C₁₉	semidirect
694. #463	C₂²×C₁₉	semidirect
695. #461	C₂²×C₁₉	semidirect
696. #461	C₂²×C₁₉	semidirect
697. #460	C₂²×C₁₉	semidirect
700. #459	C₂²×C₁₉	semidirect
701. #459	C₂²×C₁₉	semidirect
702. #459	C₂²×C₁₉	semidirect
703. #459	C₂²×C₁₉	semidirect
704. #459	C₂²×C₁₉	semidirect
705. #459	C₂²×C₁₉	semidirect
706. #459	C₂²×C₁₉	semidirect
707. #459	C₂²×C₁₉	semidirect
708. #450	C₂²×C₁₉	semidirect
709. #449	C₂²×C₁₉	semidirect
710. #449	C₂²×C₁₉	semidirect
711. #449	C₂²×C₁₉	semidirect
712. #449	C₂²×C₁₉	semidirect
715. #447	C₂²×C₁₉	semidirect
716. #447	C₂²×C₁₉	semidirect
717. #447	C₂²×C₁₉	semidirect
718. #446	C₂²×C₁₉	semidirect
719. C₈×Q₈	C₂²×C₁₉	semidirect
720. #442	C₂²×C₁₉	semidirect
721. #440	C₂²×C₁₉	semidirect
722. C₄×SD₁₆	C₂²×C₁₉	semidirect
724. C₄×D₈	C₂²×C₁₉	semidirect
725. C₄×D₈	C₂²×C₁₉	semidirect
726. C₄×D₈	C₂²×C₁₉	semidirect
727. C₄×D₈	C₂²×C₁₉	semidirect
728. #436	C₂²×C₁₉	semidirect
729. #436	C₂²×C₁₉	semidirect
730. #435	C₂²×C₁₉	semidirect
731. C₈×D₄	C₂²×C₁₉	semidirect
732. #433	C₂²×C₁₉	semidirect
733. #431	C₂²×C₁₉	semidirect
734. #424	C₂²×C₁₉	semidirect
735. #423	C₂²×C₁₉	semidirect
736. #418	C₂²×C₁₉	semidirect
737. #417	C₂²×C₁₉	semidirect
738. #416	C₂²×C₁₉	semidirect
930. C₁₉	#62040	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×#3546	2
C₁₉×#3519	2
C₁₉×#3397	2
C₁₉×#3391	2
C₁₉×#3366	2
C₁₉×#3360	2
C₁₉×#3325	2
C₁₉×#3322	2
C₁₉×#3309	2
C₁₉×#3303	2
D₄×D₈×C₁₉	2
C₁₉×#3274	2
C₁₉×#3272	2
C₁₉×#3264	2
C₁₉×#3257	2
C₁₉×#3253	2
C₁₉×#3220	2
C₁₉×#3207	2
C₁₉×#3118	2
C₁₉×#3100	2
C₁₉×#3041	2
C₁₉×#3036	2
C₁₉×#2993	2
#62040	19

Subgroups — C19×#62040 #18067999

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62040 #18067999