Subgroups — C₁₉×#62064 #18068023

Order 4864.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3403	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3322	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3297	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₉×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₉×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#3045	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#3041	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₉×#463	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
37	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#562	—	2	1	no	—
39	C₁₉×H(3,𝔽₄)	—	2	1	no	—
40	C₁₉×#559	C₂²	1	1	yes	characteristic, complemented
41	C₁₉×#559	C₂²	1	1	yes	characteristic, complemented
42	C₁₉×#559	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#554	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#553	—	2	1	no	—
45	C₁₉×#553	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#551	—	2	1	no	—
48	C₁₉×#551	—	2	1	no	—
49	C₁₉×#548	C₂²	1	1	yes	characteristic
50	C₁₉×#548	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#546	—	2	1	no	—
53	C₁₉×#546	—	2	1	no	—
54	C₁₉×#546	—	2	1	no	—
55	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
56	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
58	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
59	D₄²×C₁₉	C₂²	1	1	yes	characteristic
60	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#540	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#539	—	2	1	no	—
67	C₁₉×#538	—	2	1	no	—
68	C₁₉×#538	—	2	1	no	—
69	C₁₉×#538	—	2	1	no	—
70	C₁₉×#538	—	2	1	no	—
71	C₁₉×#535	C₂²	1	1	yes	characteristic, complemented
72	C₁₉×#535	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#534	—	2	1	no	—
74	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#529	C₂²	1	1	yes	characteristic
76	C₁₉×#529	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#525	—	2	1	no	—
79	C₂×C₁₉×#123	—	2	1	no	—
80	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₉×#518	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
83	C₁₉×#496	C₂²	1	1	yes	characteristic, complemented
84	C₁₉×#496	C₂²	1	1	yes	characteristic, complemented
85	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
87	C₁₉×#495	C₂²	1	1	yes	characteristic, complemented
88	C₁₉×#493	C₂²	1	1	yes	characteristic
89	C₁₉×#490	C₂²	1	1	yes	characteristic, complemented
90	C₁₉×#489	C₂²	1	1	yes	characteristic, complemented
91	C₁₉×#488	C₂²	1	1	yes	characteristic, complemented
92	C₁₉×#488	C₂²	1	1	yes	characteristic, complemented
93	C₁₉×#488	C₂²	1	1	yes	characteristic, complemented
94	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
99	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
100	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
101	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
102	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
104	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
105	C₁₉×#477	C₂²	1	1	yes	characteristic, complemented
106	C₁₉×#477	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
112	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
115	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#466	C₂²	1	1	yes	characteristic
117	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
118	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
119	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
120	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
121	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
122	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
123	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
124	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
125	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
133	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
134	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
135	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
136	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
137	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
138	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
139	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
140	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
141	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
142	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
143	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
144	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
145	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
146	C₁₉×#459	C₂²	1	1	yes	characteristic
147	C₁₉×#459	C₂²	1	1	yes	characteristic
148	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
149	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
150	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
151	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
152	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
153	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
154	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
155	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
156	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
157	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
158	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
159	C₁₉×#449	C₂²	1	1	yes	characteristic
160	C₁₉×#449	C₂²	1	1	yes	characteristic, complemented
161	C₁₉×#449	C₂²	1	1	yes	characteristic, complemented
162	C₁₉×#449	C₂²	1	1	yes	characteristic, complemented
163	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
164	C₁₉×#447	C₂²	1	1	yes	characteristic
165	C₁₉×#447	C₂²	1	1	yes	characteristic
166	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
167	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
168	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
169	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
170	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
171	C₁₉×#446	C₂²	1	1	yes	characteristic, complemented
172	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
173	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
175	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
176	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
179	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
185	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
186	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
190	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
191	C₁₉×#433	C₂²	1	1	yes	characteristic, complemented
192	C₁₉×#433	C₂²	1	1	yes	characteristic, complemented
193	C₁₉×#431	C₂²	1	1	yes	characteristic, complemented
194	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
195	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
198	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
199	C₁₉×#416	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₉	—	2	1	no	—
204	C₂×#41×C₁₉	—	2	1	no	—
205	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
207	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₉	—	2	1	no	—
210	C₂²×D₄×C₁₉	—	2	1	no	—
211	C₂²×D₄×C₁₉	—	2	1	no	—
212	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₁₉	—	2	1	no	—
218	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
219	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
220	C₁₉×#135	—	4	2	no	—
221	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
223	C₂×SD₁₆×C₁₉	—	4	2	no	—
224	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
234	C₂×D₈×C₁₉	—	4	2	no	—
235	C₂×D₈×C₁₉	—	4	2	no	—
236	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
237	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
239	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
246	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
248	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
249	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
251	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
253	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
254	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₉×#127	C₂³	1	1	yes	characteristic
257	C₁₉×#127	C₂³	1	1	yes	characteristic
258	C₁₉×#127	C₂³	1	1	yes	characteristic
259	C₁₉×#127	C₂³	1	1	yes	characteristic
260	C₁₉×#126	—	2	1	no	—
261	C₁₉×#126	—	2	1	no	—
262	C₁₉×#126	—	2	1	no	—
263	C₁₉×#126	—	2	1	no	—
264	C₁₉×#126	—	2	1	no	—
265	C₁₉×#126	—	2	1	no	—
266	C₁₉×#126	D₄	1	1	yes	characteristic
267	C₁₉×#126	D₄	1	1	yes	characteristic
268	C₁₉×#125	—	2	1	no	—
269	C₁₉×#125	D₄	1	1	yes	characteristic
270	C₁₉×#125	C₂³	1	1	yes	characteristic
271	C₁₉×#125	C₂³	1	1	yes	characteristic
272	C₁₉×#124	—	2	1	no	—
273	C₁₉×#124	—	2	1	no	—
274	C₁₉×#124	—	2	1	no	—
275	C₁₉×#124	—	2	1	no	—
276	C₁₉×#124	—	2	1	no	—
277	C₁₉×#124	—	2	1	no	—
278	C₁₉×#124	—	2	1	no	—
279	C₁₉×#124	—	2	1	no	—
280	C₁₉×#124	—	2	1	no	—
281	C₁₉×#124	—	2	1	no	—
282	C₁₉×#124	—	2	1	no	—
283	C₁₉×#124	D₄	1	1	yes	characteristic
284	C₁₉×#124	C₂³	1	1	yes	characteristic
285	C₁₉×#124	C₂³	1	1	yes	characteristic
286	C₁₉×#124	C₂³	1	1	yes	characteristic
287	C₁₉×#124	C₂³	1	1	yes	characteristic
288	C₁₉×#124	C₂³	1	1	yes	characteristic
289	C₁₉×#124	C₂³	1	1	yes	characteristic
290	C₁₉×#124	C₂³	1	1	yes	characteristic
291	C₁₉×#124	C₂³	1	1	yes	characteristic
292	C₁₉×#123	—	2	1	no	—
293	C₁₉×#123	—	2	1	no	—
294	C₁₉×#123	—	2	1	no	—
295	C₁₉×#123	—	2	1	no	—
296	C₁₉×#123	—	2	1	no	—
297	C₁₉×#123	—	2	1	no	—
298	C₁₉×#123	—	2	1	no	—
299	C₁₉×#123	—	2	1	no	—
300	C₁₉×#123	—	2	1	no	—
301	C₁₉×#123	—	2	1	no	—
302	C₁₉×#123	—	2	1	no	—
303	C₁₉×#123	—	2	1	no	—
304	C₁₉×#123	—	2	1	no	—
305	C₁₉×#123	—	2	1	no	—
306	C₁₉×#123	—	2	1	no	—
307	C₁₉×#123	—	2	1	no	—
308	C₁₉×#123	—	2	1	no	—
309	C₁₉×#123	—	2	1	no	—
310	C₁₉×#123	—	2	1	no	—
311	C₁₉×#123	—	2	1	no	—
312	C₁₉×#123	D₄	1	1	yes	characteristic
313	C₁₉×#123	D₄	1	1	yes	characteristic
314	C₁₉×C₂²⋊Q₈	—	2	1	no	—
315	C₁₉×C₂²⋊Q₈	—	2	1	no	—
316	C₁₉×C₂²⋊Q₈	—	2	1	no	—
317	C₁₉×C₂²⋊Q₈	—	2	1	no	—
318	C₁₉×C₂²⋊Q₈	—	2	1	no	—
319	C₁₉×C₂²⋊Q₈	—	2	1	no	—
320	C₁₉×C₂²⋊Q₈	—	2	1	no	—
321	C₁₉×C₂²⋊Q₈	—	2	1	no	—
322	C₁₉×C₂²⋊Q₈	—	2	1	no	—
323	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
324	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₁₉×#121	—	2	1	no	—
329	C₁₉×#121	—	2	1	no	—
330	C₁₉×#121	—	2	1	no	—
331	C₁₉×#121	—	2	1	no	—
332	C₁₉×#121	—	2	1	no	—
333	C₁₉×#121	—	2	1	no	—
334	C₁₉×#121	—	2	1	no	—
335	C₁₉×#121	—	2	1	no	—
336	C₁₉×#121	—	2	1	no	—
337	C₁₉×#121	—	2	1	no	—
338	C₁₉×#121	—	2	1	no	—
339	C₁₉×#121	—	2	1	no	—
340	C₁₉×#121	—	2	1	no	—
341	C₁₉×#121	—	2	1	no	—
342	C₁₉×#121	—	2	1	no	—
343	C₁₉×#121	—	2	1	no	—
344	C₁₉×#121	—	2	1	no	—
345	C₁₉×#121	D₄	1	1	yes	characteristic
346	C₁₉×#121	C₂³	1	1	yes	characteristic
347	C₁₉×#121	C₂³	1	1	yes	characteristic
348	C₁₉×#121	C₂³	1	1	yes	characteristic
349	C₁₉×#121	C₂³	1	1	yes	characteristic
350	C₁₉×#121	C₂³	1	1	yes	characteristic
351	C₁₉×#121	C₂³	1	1	yes	characteristic
352	C₁₉×#121	C₂³	1	1	yes	characteristic
353	C₁₉×#121	C₂³	1	1	yes	characteristic
354	C₁₉×#120	—	2	1	no	—
355	C₁₉×#120	—	2	1	no	—
356	C₁₉×#120	—	2	1	no	—
357	C₁₉×#120	—	2	1	no	—
358	C₁₉×#120	—	2	1	no	—
359	C₁₉×#120	—	2	1	no	—
360	C₁₉×#120	—	2	1	no	—
361	C₁₉×#120	—	2	1	no	—
362	C₁₉×#120	—	2	1	no	—
363	C₁₉×#120	—	2	1	no	—
364	C₁₉×#120	—	2	1	no	—
365	C₁₉×#120	—	2	1	no	—
366	C₁₉×#120	—	2	1	no	—
367	C₁₉×#120	—	2	1	no	—
368	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₉	—	2	1	no	—
374	C₄×D₄×C₁₉	—	2	1	no	—
375	C₄×D₄×C₁₉	—	2	1	no	—
376	C₄×D₄×C₁₉	—	2	1	no	—
377	C₄×D₄×C₁₉	—	2	1	no	—
378	C₄×D₄×C₁₉	—	2	1	no	—
379	C₄×D₄×C₁₉	—	2	1	no	—
380	C₄×D₄×C₁₉	—	2	1	no	—
381	C₄×D₄×C₁₉	—	2	1	no	—
382	C₄×D₄×C₁₉	—	2	1	no	—
383	C₄×D₄×C₁₉	—	2	1	no	—
384	C₄×D₄×C₁₉	—	2	1	no	—
385	C₄×D₄×C₁₉	—	2	1	no	—
386	C₄×D₄×C₁₉	—	2	1	no	—
387	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
388	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
402	C₁₉×#117	—	2	1	no	—
403	C₁₉×#117	—	2	1	no	—
404	C₁₉×#117	—	2	1	no	—
405	C₁₉×#117	C₂³	1	1	yes	characteristic
406	C₁₉×#117	C₂³	1	1	yes	characteristic
407	C₁₉×#117	C₂³	1	1	yes	characteristic
408	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
409	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
411	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
412	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
413	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
414	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
415	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
416	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
420	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
421	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
422	C₁₉×#107	C₂³	1	1	yes	characteristic
423	C₁₉×#107	C₂³	1	1	yes	characteristic
424	C₁₉×#107	C₂³	1	1	yes	characteristic
425	C₁₉×#107	C₂³	1	1	yes	characteristic
426	C₁₉×#107	C₂³	1	1	yes	characteristic
427	C₁₉×#107	C₂³	1	1	yes	characteristic
428	C₁₉×#106	C₂³	1	1	yes	characteristic
429	C₁₉×#106	C₂³	1	1	yes	characteristic
430	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₉×#103	C₂³	1	1	yes	characteristic
441	C₁₉×#103	C₂³	1	1	yes	characteristic
442	C₁₉×#103	C₂³	1	1	yes	characteristic
443	C₁₉×#103	C₂³	1	1	yes	characteristic
444	C₁₉×#103	C₂³	1	1	yes	characteristic
445	C₁₉×#103	C₂³	1	1	yes	characteristic
446	C₁₉×#103	C₂³	1	1	yes	characteristic
447	C₁₉×#103	C₂³	1	1	yes	characteristic
448	C₁₉×#103	C₂³	1	1	yes	characteristic
449	C₁₉×#103	C₂³	1	1	yes	characteristic
450	C₁₉×#102	C₂³	1	1	yes	characteristic
451	C₁₉×#102	C₂³	1	1	yes	characteristic
452	C₁₉×#102	C₂³	1	1	yes	characteristic
453	C₁₉×#102	C₂³	1	1	yes	characteristic
454	C₁₉×#102	C₂³	1	1	yes	characteristic
455	C₁₉×#102	C₂³	1	1	yes	characteristic
456	C₁₉×#102	C₂³	1	1	yes	characteristic
457	C₁₉×#102	C₂³	1	1	yes	characteristic
458	C₁₉×#102	C₂³	1	1	yes	characteristic
459	C₁₉×#102	C₂³	1	1	yes	characteristic
460	C₁₉×#102	C₂³	1	1	yes	characteristic
461	C₁₉×#102	C₂³	1	1	yes	characteristic
462	C₁₉×#102	C₂³	1	1	yes	characteristic
463	C₁₉×#102	C₂³	1	1	yes	characteristic
464	C₁₉×#102	C₂³	1	1	yes	characteristic
465	C₁₉×#102	C₂³	1	1	yes	characteristic
466	C₁₉×#102	C₂³	1	1	yes	characteristic
467	C₁₉×#102	C₂³	1	1	yes	characteristic
468	C₁₉×#102	C₂³	1	1	yes	characteristic
469	C₁₉×#102	C₂³	1	1	yes	characteristic
470	C₁₉×#102	C₂³	1	1	yes	characteristic
471	C₁₉×#102	C₂³	1	1	yes	characteristic
472	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₉×#97	C₂³	1	1	yes	characteristic
479	C₁₉×#97	C₂³	1	1	yes	characteristic
480	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
484	C₂⁴×C₁₉	—	2	1	no	—
485	C₂⁴×C₁₉	—	2	1	no	—
486	C₂⁴×C₁₉	—	2	1	no	—
487	C₂⁴×C₁₉	—	2	1	no	—
488	C₂⁴×C₁₉	—	2	1	no	—
489	#41×C₁₉	—	2	2	no	—
490	#41×C₁₉	—	4	1	no	—
491	#41×C₁₉	—	4	1	no	—
492	#41×C₁₉	—	4	1	no	—
493	#41×C₁₉	—	4	1	no	—
494	#41×C₁₉	—	4	1	no	—
495	#41×C₁₉	—	8	2	no	—
496	#41×C₁₉	—	8	2	no	—
497	C₂×Q₈×C₁₉	—	2	1	no	—
498	C₂×Q₈×C₁₉	—	2	1	no	—
499	C₂×Q₈×C₁₉	—	2	1	no	—
500	C₂×Q₈×C₁₉	—	4	1	no	—
501	C₂×Q₈×C₁₉	—	4	1	no	—
502	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
503	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₉	—	2	2	no	—
507	C₂×D₄×C₁₉	—	2	2	no	—
508	C₂×D₄×C₁₉	—	2	1	no	—
509	C₂×D₄×C₁₉	—	2	1	no	—
510	C₂×D₄×C₁₉	—	2	1	no	—
511	C₂×D₄×C₁₉	—	2	1	no	—
512	C₂×D₄×C₁₉	—	2	1	no	—
513	C₂×D₄×C₁₉	—	2	1	no	—
514	C₂×D₄×C₁₉	—	2	1	no	—
515	C₂×D₄×C₁₉	—	2	1	no	—
516	C₂×D₄×C₁₉	—	2	1	no	—
517	C₂×D₄×C₁₉	—	2	1	no	—
518	C₂×D₄×C₁₉	—	2	1	no	—
519	C₂×D₄×C₁₉	—	2	1	no	—
520	C₂×D₄×C₁₉	—	2	1	no	—
521	C₂×D₄×C₁₉	—	2	1	no	—
522	C₂×D₄×C₁₉	—	2	1	no	—
523	C₂×D₄×C₁₉	—	2	1	no	—
524	C₂×D₄×C₁₉	—	2	1	no	—
525	C₂×D₄×C₁₉	—	2	1	no	—
526	C₂×D₄×C₁₉	—	2	1	no	—
527	C₂×D₄×C₁₉	—	2	1	no	—
528	C₂×D₄×C₁₉	—	2	1	no	—
529	C₂×D₄×C₁₉	—	2	1	no	—
530	C₂×D₄×C₁₉	—	2	1	no	—
531	C₂×D₄×C₁₉	—	2	1	no	—
532	C₂×D₄×C₁₉	—	4	1	no	—
533	C₂×D₄×C₁₉	—	4	1	no	—
534	C₂×D₄×C₁₉	—	4	1	no	—
535	C₂×D₄×C₁₉	—	4	1	no	—
536	C₂×D₄×C₁₉	—	4	1	no	—
537	C₂×D₄×C₁₉	—	4	1	no	—
538	C₂×D₄×C₁₉	—	4	1	no	—
539	C₂×D₄×C₁₉	—	4	1	no	—
540	C₂×D₄×C₁₉	—	8	2	no	—
541	C₂×D₄×C₁₉	—	8	2	no	—
542	C₂×D₄×C₁₉	—	8	2	no	—
543	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
544	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
547	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
548	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
552	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₉	—	2	1	no	—
554	C₂²×C₄×C₁₉	—	2	1	no	—
555	C₂²×C₄×C₁₉	—	2	1	no	—
556	C₂²×C₄×C₁₉	—	2	1	no	—
557	C₂²×C₄×C₁₉	—	2	1	no	—
558	C₂²×C₄×C₁₉	—	2	1	no	—
559	C₂²×C₄×C₁₉	—	2	1	no	—
560	C₂²×C₄×C₁₉	—	2	1	no	—
561	C₂²×C₄×C₁₉	—	2	1	no	—
562	C₂²×C₄×C₁₉	—	2	1	no	—
563	C₂²×C₄×C₁₉	—	2	1	no	—
564	C₂²×C₄×C₁₉	—	2	1	no	—
565	C₂²×C₄×C₁₉	—	2	1	no	—
566	C₂²×C₄×C₁₉	—	2	1	no	—
567	C₂²×C₄×C₁₉	—	2	1	no	—
568	C₂²×C₄×C₁₉	—	2	1	no	—
569	C₂²×C₄×C₁₉	—	2	1	no	—
570	C₂²×C₄×C₁₉	—	2	1	no	—
571	C₂²×C₄×C₁₉	—	8	2	no	—
572	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
574	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
577	Q₁₆×C₁₉	—	4	1	no	—
578	Q₁₆×C₁₉	—	4	1	no	—
579	SD₁₆×C₁₉	—	2	2	no	—
580	SD₁₆×C₁₉	—	2	2	no	—
581	SD₁₆×C₁₉	—	4	1	no	—
582	SD₁₆×C₁₉	—	4	1	no	—
583	SD₁₆×C₁₉	—	4	1	no	—
584	SD₁₆×C₁₉	—	4	1	no	—
585	SD₁₆×C₁₉	—	4	1	no	—
586	SD₁₆×C₁₉	—	4	1	no	—
587	SD₁₆×C₁₉	—	4	1	no	—
588	SD₁₆×C₁₉	—	4	1	no	—
589	D₈×C₁₉	—	2	2	no	—
590	D₈×C₁₉	—	2	2	no	—
591	D₈×C₁₉	—	2	2	no	—
592	D₈×C₁₉	—	2	2	no	—
593	D₈×C₁₉	—	4	1	no	—
594	D₈×C₁₉	—	4	1	no	—
595	D₈×C₁₉	—	4	1	no	—
596	D₈×C₁₉	—	4	1	no	—
597	D₈×C₁₉	—	4	1	no	—
598	D₈×C₁₉	—	4	1	no	—
599	D₈×C₁₉	—	4	1	no	—
600	D₈×C₁₉	—	4	1	no	—
601	M₁₆×C₁₉	—	4	1	no	—
602	M₁₆×C₁₉	—	4	1	no	—
603	C₂×C₈×C₁₉	—	4	1	no	—
604	C₂×C₈×C₁₉	—	4	1	no	—
605	C₂×C₈×C₁₉	—	4	1	no	—
606	C₂×C₈×C₁₉	—	4	1	no	—
607	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
614	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₁₉	—	2	1	no	—
616	C₄⋊C₄×C₁₉	—	2	1	no	—
617	C₄⋊C₄×C₁₉	—	2	1	no	—
618	C₄⋊C₄×C₁₉	—	2	1	no	—
619	C₄⋊C₄×C₁₉	—	2	1	no	—
620	C₄⋊C₄×C₁₉	—	2	1	no	—
621	C₄⋊C₄×C₁₉	—	2	1	no	—
622	C₄⋊C₄×C₁₉	—	2	1	no	—
623	C₄⋊C₄×C₁₉	—	2	1	no	—
624	C₄⋊C₄×C₁₉	—	2	1	no	—
625	C₄⋊C₄×C₁₉	—	2	1	no	—
626	C₄⋊C₄×C₁₉	—	2	1	no	—
627	C₄⋊C₄×C₁₉	—	2	1	no	—
628	C₄⋊C₄×C₁₉	—	2	1	no	—
629	C₄⋊C₄×C₁₉	—	2	1	no	—
630	C₄⋊C₄×C₁₉	—	2	1	no	—
631	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
647	C₂²⋊C₄×C₁₉	—	2	1	no	—
648	C₂²⋊C₄×C₁₉	—	2	1	no	—
649	C₂²⋊C₄×C₁₉	—	2	1	no	—
650	C₂²⋊C₄×C₁₉	—	2	1	no	—
651	C₂²⋊C₄×C₁₉	—	2	1	no	—
652	C₂²⋊C₄×C₁₉	—	2	1	no	—
653	C₂²⋊C₄×C₁₉	—	2	1	no	—
654	C₂²⋊C₄×C₁₉	—	2	1	no	—
655	C₂²⋊C₄×C₁₉	—	2	1	no	—
656	C₂²⋊C₄×C₁₉	—	2	1	no	—
657	C₂²⋊C₄×C₁₉	—	2	1	no	—
658	C₂²⋊C₄×C₁₉	—	2	1	no	—
659	C₂²⋊C₄×C₁₉	—	2	1	no	—
660	C₂²⋊C₄×C₁₉	—	2	1	no	—
661	C₂²⋊C₄×C₁₉	—	2	1	no	—
662	C₂²⋊C₄×C₁₉	—	2	1	no	—
663	C₂²⋊C₄×C₁₉	—	2	1	no	—
664	C₂²⋊C₄×C₁₉	—	2	1	no	—
665	C₂²⋊C₄×C₁₉	—	2	1	no	—
666	C₂²⋊C₄×C₁₉	—	2	1	no	—
667	C₂²⋊C₄×C₁₉	—	2	1	no	—
668	C₂²⋊C₄×C₁₉	—	2	1	no	—
669	C₂²⋊C₄×C₁₉	—	2	1	no	—
670	C₂²⋊C₄×C₁₉	—	2	1	no	—
671	C₂²⋊C₄×C₁₉	—	2	1	no	—
672	C₂²⋊C₄×C₁₉	—	2	1	no	—
673	C₂²⋊C₄×C₁₉	—	2	1	no	—
674	C₂²⋊C₄×C₁₉	—	2	1	no	—
675	C₂²⋊C₄×C₁₉	—	2	1	no	—
676	C₂²⋊C₄×C₁₉	—	2	1	no	—
677	C₂²⋊C₄×C₁₉	—	2	1	no	—
678	C₂²⋊C₄×C₁₉	—	2	1	no	—
679	C₂²⋊C₄×C₁₉	—	2	1	no	—
680	C₂²⋊C₄×C₁₉	—	2	1	no	—
681	C₂²⋊C₄×C₁₉	—	2	1	no	—
682	C₂²⋊C₄×C₁₉	—	2	1	no	—
683	C₂²⋊C₄×C₁₉	—	2	1	no	—
684	C₂²⋊C₄×C₁₉	—	2	1	no	—
685	C₂²⋊C₄×C₁₉	—	2	1	no	—
686	C₂²⋊C₄×C₁₉	—	2	1	no	—
687	C₂²⋊C₄×C₁₉	—	2	1	no	—
688	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₁₉	—	2	1	no	—
699	C₄²×C₁₉	—	2	1	no	—
700	C₄²×C₁₉	—	2	1	no	—
701	C₄²×C₁₉	—	2	1	no	—
702	C₄²×C₁₉	—	2	1	no	—
703	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
704	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
706	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
707	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
708	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
709	#62064	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
710	C₂³×C₁₉	—	2	1	no	—
711	C₂³×C₁₉	—	2	1	no	—
712	C₂³×C₁₉	—	2	1	no	—
713	C₂³×C₁₉	—	2	1	no	—
714	C₂³×C₁₉	—	2	1	no	—
715	C₂³×C₁₉	—	2	1	no	—
716	C₂³×C₁₉	—	2	1	no	—
717	C₂³×C₁₉	—	4	2	no	—
718	C₂³×C₁₉	—	4	2	no	—
719	C₂³×C₁₉	—	4	2	no	—
720	C₂³×C₁₉	—	4	2	no	—
721	C₂³×C₁₉	—	8	1	no	—
722	C₂³×C₁₉	—	8	1	no	—
723	C₂³×C₁₉	—	8	1	no	—
724	C₂³×C₁₉	—	8	1	no	—
725	C₂³×C₁₉	—	8	1	no	—
726	C₂³×C₁₉	—	8	1	no	—
727	C₂³×C₁₉	—	8	1	no	—
728	C₂³×C₁₉	—	8	1	no	—
729	C₂³×C₁₉	—	8	1	no	—
730	C₂³×C₁₉	—	8	1	no	—
731	C₂³×C₁₉	—	8	1	no	—
732	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
733	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
735	Q₈×C₁₉	—	2	1	no	—
736	Q₈×C₁₉	—	2	1	no	—
737	Q₈×C₁₉	—	2	1	no	—
738	Q₈×C₁₉	—	2	1	no	—
739	Q₈×C₁₉	—	2	1	no	—
740	Q₈×C₁₉	—	2	1	no	—
741	Q₈×C₁₉	—	4	1	no	—
742	Q₈×C₁₉	—	8	1	no	—
743	Q₈×C₁₉	—	8	1	no	—
744	Q₈×C₁₉	—	8	1	no	—
745	D₄×C₁₉	—	2	2	no	—
746	D₄×C₁₉	—	2	2	no	—
747	D₄×C₁₉	—	2	1	no	—
748	D₄×C₁₉	—	2	1	no	—
749	D₄×C₁₉	—	2	1	no	—
750	D₄×C₁₉	—	2	1	no	—
751	D₄×C₁₉	—	2	1	no	—
752	D₄×C₁₉	—	2	1	no	—
753	D₄×C₁₉	—	2	1	no	—
754	D₄×C₁₉	—	2	1	no	—
755	D₄×C₁₉	—	2	1	no	—
756	D₄×C₁₉	—	2	1	no	—
757	D₄×C₁₉	—	2	1	no	—
758	D₄×C₁₉	—	2	1	no	—
759	D₄×C₁₉	—	2	1	no	—
760	D₄×C₁₉	—	4	1	no	—
761	D₄×C₁₉	—	4	2	no	—
762	D₄×C₁₉	—	4	2	no	—
763	D₄×C₁₉	—	4	2	no	—
764	D₄×C₁₉	—	4	2	no	—
765	D₄×C₁₉	—	4	2	no	—
766	D₄×C₁₉	—	4	2	no	—
767	D₄×C₁₉	—	8	1	no	—
768	D₄×C₁₉	—	8	1	no	—
769	D₄×C₁₉	—	8	1	no	—
770	D₄×C₁₉	—	8	1	no	—
771	D₄×C₁₉	—	8	1	no	—
772	D₄×C₁₉	—	8	1	no	—
773	D₄×C₁₉	—	8	1	no	—
774	D₄×C₁₉	—	8	1	no	—
775	D₄×C₁₉	—	8	1	no	—
776	D₄×C₁₉	—	8	1	no	—
777	D₄×C₁₉	—	8	1	no	—
778	D₄×C₁₉	—	8	1	no	—
779	D₄×C₁₉	—	8	1	no	—
780	D₄×C₁₉	—	8	1	no	—
781	D₄×C₁₉	—	8	1	no	—
782	D₄×C₁₉	—	8	1	no	—
783	D₄×C₁₉	—	8	1	no	—
784	D₄×C₁₉	—	8	1	no	—
785	D₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
786	C₂×C₄×C₁₉	—	2	2	no	—
787	C₂×C₄×C₁₉	—	2	1	no	—
788	C₂×C₄×C₁₉	—	2	1	no	—
789	C₂×C₄×C₁₉	—	2	1	no	—
790	C₂×C₄×C₁₉	—	2	1	no	—
791	C₂×C₄×C₁₉	—	2	1	no	—
792	C₂×C₄×C₁₉	—	2	1	no	—
793	C₂×C₄×C₁₉	—	2	1	no	—
794	C₂×C₄×C₁₉	—	2	1	no	—
795	C₂×C₄×C₁₉	—	2	1	no	—
796	C₂×C₄×C₁₉	—	2	1	no	—
797	C₂×C₄×C₁₉	—	2	1	no	—
798	C₂×C₄×C₁₉	—	2	1	no	—
799	C₂×C₄×C₁₉	—	2	1	no	—
800	C₂×C₄×C₁₉	—	2	1	no	—
801	C₂×C₄×C₁₉	—	2	1	no	—
802	C₂×C₄×C₁₉	—	4	1	no	—
803	C₂×C₄×C₁₉	—	4	2	no	—
804	C₂×C₄×C₁₉	—	4	2	no	—
805	C₂×C₄×C₁₉	—	8	1	no	—
806	C₂×C₄×C₁₉	—	8	1	no	—
807	C₂×C₄×C₁₉	—	8	1	no	—
808	C₂×C₄×C₁₉	—	8	1	no	—
809	C₂×C₄×C₁₉	—	8	1	no	—
810	C₂×C₄×C₁₉	—	8	1	no	—
811	C₂×C₄×C₁₉	—	8	1	no	—
812	C₂×C₄×C₁₉	—	8	1	no	—
813	C₂×C₄×C₁₉	—	8	1	no	—
814	C₂×C₄×C₁₉	—	8	1	no	—
815	C₂×C₄×C₁₉	—	8	1	no	—
816	C₂×C₄×C₁₉	—	8	1	no	—
817	C₂×C₄×C₁₉	—	8	1	no	—
818	C₂×C₄×C₁₉	—	8	1	no	—
819	C₂×C₄×C₁₉	—	8	1	no	—
820	C₂×C₄×C₁₉	—	8	1	no	—
821	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
833	C₈×C₁₉	—	2	1	no	—
834	C₈×C₁₉	—	2	1	no	—
835	C₈×C₁₉	—	2	1	no	—
836	C₈×C₁₉	—	2	1	no	—
837	C₈×C₁₉	—	2	1	no	—
838	C₈×C₁₉	—	2	1	no	—
839	C₈×C₁₉	—	2	1	no	—
840	C₈×C₁₉	—	2	1	no	—
841	#3558	C₂×C₁₉	1	1	yes	characteristic, complemented
842	#3513	C₂×C₁₉	1	1	yes	characteristic, complemented
843	#3403	C₂×C₁₉	1	1	yes	characteristic, complemented
844	#3396	C₂×C₁₉	1	1	yes	characteristic, complemented
845	#3370	C₂×C₁₉	1	1	yes	characteristic, complemented
846	#3361	C₂×C₁₉	1	1	yes	characteristic, complemented
847	#3322	C₂×C₁₉	1	1	yes	characteristic, complemented
848	#3310	C₂×C₁₉	1	1	yes	characteristic, complemented
849	#3308	C₂×C₁₉	1	1	yes	characteristic, complemented
850	#3300	C₂×C₁₉	1	1	yes	characteristic, complemented
851	#3297	C₂×C₁₉	1	1	yes	characteristic, complemented
852	#3294	C₂×C₁₉	1	1	yes	characteristic, complemented
853	#3282	C₂×C₁₉	1	1	yes	characteristic, complemented
854	#3280	C₂×C₁₉	1	1	yes	characteristic, complemented
855	D₄×D₈	C₂×C₁₉	1	1	yes	characteristic, complemented
856	#3273	C₂×C₁₉	1	1	yes	characteristic, complemented
857	#3265	C₂×C₁₉	1	1	yes	characteristic, complemented
858	#3264	C₂×C₁₉	1	1	yes	characteristic, complemented
859	#3262	C₂×C₁₉	1	1	yes	characteristic, complemented
860	#3257	C₂×C₁₉	1	1	yes	characteristic, complemented
861	#3247	C₂×C₁₉	1	1	yes	characteristic, complemented
862	#3224	C₂×C₁₉	1	1	yes	characteristic, complemented
863	#3220	C₂×C₁₉	1	1	yes	characteristic, complemented
864	#3211	C₂×C₁₉	1	1	yes	characteristic, complemented
865	#3124	C₂×C₁₉	1	1	yes	characteristic, complemented
866	#3118	C₂×C₁₉	1	1	yes	characteristic, complemented
867	#3100	C₂×C₁₉	1	1	yes	characteristic, complemented
868	#3045	C₂×C₁₉	1	1	yes	characteristic, complemented
869	#3041	C₂×C₁₉	1	1	yes	characteristic, complemented
870	C₂×#463	C₂×C₁₉	1	1	yes	characteristic, complemented
871	#2994	C₂×C₁₉	1	1	yes	characteristic, complemented
872	C₂²×C₁₉	—	2	1	no	—
873	C₂²×C₁₉	—	2	1	no	—
874	C₂²×C₁₉	—	2	1	no	—
875	C₂²×C₁₉	—	2	1	no	—
876	C₂²×C₁₉	—	2	1	no	—
877	C₂²×C₁₉	—	2	1	no	—
878	C₂²×C₁₉	—	2	2	no	—
879	C₂²×C₁₉	—	2	1	no	—
880	C₂²×C₁₉	—	2	1	no	—
881	C₂²×C₁₉	—	4	1	no	—
882	C₂²×C₁₉	—	4	1	no	—
883	C₂²×C₁₉	—	4	1	no	—
884	C₂²×C₁₉	—	4	1	no	—
885	C₂²×C₁₉	—	4	1	no	—
886	C₂²×C₁₉	—	4	1	no	—
887	C₂²×C₁₉	—	4	1	no	—
888	C₂²×C₁₉	—	4	1	no	—
889	C₂²×C₁₉	—	4	1	no	—
890	C₂²×C₁₉	—	4	1	no	—
891	C₂²×C₁₉	—	4	1	no	—
892	C₂²×C₁₉	—	4	1	no	—
893	C₂²×C₁₉	—	4	1	no	—
894	C₂²×C₁₉	—	4	1	no	—
895	C₂²×C₁₉	—	4	1	no	—
896	C₂²×C₁₉	—	4	1	no	—
897	C₂²×C₁₉	—	4	1	no	—
898	C₂²×C₁₉	—	4	1	no	—
899	C₂²×C₁₉	—	4	1	no	—
900	C₂²×C₁₉	—	4	1	no	—
901	C₂²×C₁₉	—	8	4	no	—
902	C₂²×C₁₉	—	16	2	no	—
903	C₂²×C₁₉	—	16	2	no	—
904	C₂²×C₁₉	—	16	2	no	—
905	C₂²×C₁₉	—	16	2	no	—
906	C₂²×C₁₉	#576	1	2	yes	—
907	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
908	C₄×C₁₉	—	2	1	no	—
909	C₄×C₁₉	—	2	1	no	—
910	C₄×C₁₉	—	2	1	no	—
911	C₄×C₁₉	—	2	1	no	—
912	C₄×C₁₉	—	2	1	no	—
913	C₄×C₁₉	—	2	1	no	—
914	C₄×C₁₉	—	2	1	no	—
915	C₄×C₁₉	—	2	1	no	—
916	C₄×C₁₉	—	2	1	no	—
917	C₄×C₁₉	—	2	1	no	—
918	C₄×C₁₉	—	2	1	no	—
919	C₄×C₁₉	—	4	1	no	—
920	C₄×C₁₉	—	4	1	no	—
921	C₄×C₁₉	—	4	1	no	—
922	C₄×C₁₉	—	4	1	no	—
923	C₄×C₁₉	—	4	1	no	—
924	C₄×C₁₉	—	4	1	no	—
925	C₄×C₁₉	—	4	1	no	—
926	C₄×C₁₉	—	4	1	no	—
927	C₄×C₁₉	—	4	1	no	—
928	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
929	C₄×C₁₉	#585	1	1	yes	characteristic
930	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic, complemented
931	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic, complemented
932	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
933	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
934	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
935	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
936	#562	—	2	1	no	—
937	H(3,𝔽₄)	—	2	1	no	—
938	#559	C₂²×C₁₉	1	1	yes	characteristic, complemented
939	#559	C₂²×C₁₉	1	1	yes	characteristic, complemented
940	#559	C₂²×C₁₉	1	1	yes	characteristic, complemented
941	#554	C₂²×C₁₉	1	1	yes	characteristic, complemented
942	#553	—	2	1	no	—
943	#553	C₂²×C₁₉	1	1	yes	characteristic, complemented
944	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
945	#551	—	2	1	no	—
946	#551	—	2	1	no	—
947	#548	C₂²×C₁₉	1	1	yes	characteristic
948	#548	C₂²×C₁₉	1	1	yes	characteristic, complemented
949	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
950	#546	—	2	1	no	—
951	#546	—	2	1	no	—
952	#546	—	2	1	no	—
953	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
954	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
955	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
956	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
957	D₄²	C₂²×C₁₉	1	1	yes	characteristic
958	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
959	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
960	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
961	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
962	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
963	#540	C₂²×C₁₉	1	1	yes	characteristic, complemented
964	#539	—	2	1	no	—
965	#538	—	2	1	no	—
966	#538	—	2	1	no	—
967	#538	—	2	1	no	—
968	#538	—	2	1	no	—
969	#535	C₂²×C₁₉	1	1	yes	characteristic, complemented
970	#535	C₂²×C₁₉	1	1	yes	characteristic, complemented
971	#534	—	2	1	no	—
972	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
973	#529	C₂²×C₁₉	1	1	yes	characteristic
974	#529	C₂²×C₁₉	1	1	yes	characteristic, complemented
975	C₂×#124	C₂²×C₁₉	1	1	yes	characteristic, complemented
976	#525	—	2	1	no	—
977	C₂×#123	—	2	1	no	—
978	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
979	#518	C₂²×C₁₉	1	1	yes	characteristic, complemented
980	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
981	#496	C₂²×C₁₉	1	1	yes	characteristic, complemented
982	#496	C₂²×C₁₉	1	1	yes	characteristic, complemented
983	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
984	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
985	#495	C₂²×C₁₉	1	1	yes	characteristic, complemented
986	#493	C₂²×C₁₉	1	1	yes	characteristic
987	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
988	#489	C₂²×C₁₉	1	1	yes	characteristic, complemented
989	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
990	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
991	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
992	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
993	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
994	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
995	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
996	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
997	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
998	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
999	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
1000	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
1001	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
1002	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
1003	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
1004	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
1005	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
1006	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
1007	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
1008	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
1009	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
1010	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1011	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1012	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1013	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1014	#466	C₂²×C₁₉	1	1	yes	characteristic
1015	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
1016	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
1017	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
1018	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1019	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1020	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1021	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1022	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1023	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1024	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1025	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1026	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1027	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1028	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1029	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1030	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1031	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1032	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1033	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1034	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1035	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1036	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1037	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1038	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1039	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1040	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1041	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1042	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1043	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1044	#459	C₂²×C₁₉	1	1	yes	characteristic
1045	#459	C₂²×C₁₉	1	1	yes	characteristic
1046	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1047	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1048	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1049	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1050	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1051	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1052	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1053	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1054	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1055	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1056	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1057	#449	C₂²×C₁₉	1	1	yes	characteristic
1058	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1059	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1060	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1061	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1062	#447	C₂²×C₁₉	1	1	yes	characteristic
1063	#447	C₂²×C₁₉	1	1	yes	characteristic
1064	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1065	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1066	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1067	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1068	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1069	#446	C₂²×C₁₉	1	1	yes	characteristic, complemented
1070	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1071	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
1072	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1073	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1074	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1075	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1076	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1077	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1078	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1079	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1080	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1081	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1082	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1083	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1084	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1085	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1086	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1087	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1088	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1089	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1090	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1091	#431	C₂²×C₁₉	1	1	yes	characteristic, complemented
1092	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
1093	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
1094	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1095	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
1096	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1097	#416	C₂²×C₁₉	1	1	yes	characteristic, complemented
1098	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
1099	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
1100	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
1101	C₂×C₁₉	—	2	2	no	—
1102	C₂×C₁₉	—	4	1	no	—
1103	C₂×C₁₉	—	4	1	no	—
1104	C₂×C₁₉	—	4	2	no	—
1105	C₂×C₁₉	—	8	1	no	—
1106	C₂×C₁₉	—	8	1	no	—
1107	C₂×C₁₉	—	8	1	no	—
1108	C₂×C₁₉	—	8	1	no	—
1109	C₂×C₁₉	—	8	1	no	—
1110	C₂×C₁₉	—	8	1	no	—
1111	C₂×C₁₉	#3488	1	1	yes	characteristic
1112	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
1113	C₂×C₁₉	#3584	1	1	yes	characteristic
1114	C₂×#41	—	2	1	no	—
1115	C₂×#41	—	2	1	no	—
1116	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1117	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1118	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1119	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1120	C₂²×D₄	—	2	1	no	—
1121	C₂²×D₄	—	2	1	no	—
1122	C₂²×D₄	—	2	1	no	—
1123	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1124	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1125	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1126	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1127	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1128	C₂³×C₄	—	2	1	no	—
1129	AGL(1,ℤ/8)	—	4	2	no	—
1130	AGL(1,ℤ/8)	—	4	2	no	—
1131	#135	—	4	2	no	—
1132	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1133	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1134	C₂×SD₁₆	—	4	2	no	—
1135	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1138	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1139	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1140	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1141	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1142	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1143	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1144	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1145	C₂×D₈	—	4	2	no	—
1146	C₂×D₈	—	4	2	no	—
1147	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1148	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1149	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1150	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1151	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1152	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1153	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1154	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1155	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1156	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1157	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1158	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1159	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1160	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1161	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1162	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1163	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1164	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1165	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1166	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1167	#127	C₂³×C₁₉	1	1	yes	characteristic
1168	#127	C₂³×C₁₉	1	1	yes	characteristic
1169	#127	C₂³×C₁₉	1	1	yes	characteristic
1170	#127	C₂³×C₁₉	1	1	yes	characteristic
1171	#126	—	2	1	no	—
1172	#126	—	2	1	no	—
1173	#126	—	2	1	no	—
1174	#126	—	2	1	no	—
1175	#126	—	2	1	no	—
1176	#126	—	2	1	no	—
1177	#126	D₄×C₁₉	1	1	yes	characteristic
1178	#126	D₄×C₁₉	1	1	yes	characteristic
1179	#125	—	2	1	no	—
1180	#125	D₄×C₁₉	1	1	yes	characteristic
1181	#125	C₂³×C₁₉	1	1	yes	characteristic
1182	#125	C₂³×C₁₉	1	1	yes	characteristic
1183	#124	—	2	1	no	—
1184	#124	—	2	1	no	—
1185	#124	—	2	1	no	—
1186	#124	—	2	1	no	—
1187	#124	—	2	1	no	—
1188	#124	—	2	1	no	—
1189	#124	—	2	1	no	—
1190	#124	—	2	1	no	—
1191	#124	—	2	1	no	—
1192	#124	—	2	1	no	—
1193	#124	—	2	1	no	—
1194	#124	D₄×C₁₉	1	1	yes	characteristic
1195	#124	C₂³×C₁₉	1	1	yes	characteristic
1196	#124	C₂³×C₁₉	1	1	yes	characteristic
1197	#124	C₂³×C₁₉	1	1	yes	characteristic
1198	#124	C₂³×C₁₉	1	1	yes	characteristic
1199	#124	C₂³×C₁₉	1	1	yes	characteristic
1200	#124	C₂³×C₁₉	1	1	yes	characteristic
1201	#124	C₂³×C₁₉	1	1	yes	characteristic
1202	#124	C₂³×C₁₉	1	1	yes	characteristic
1203	#123	—	2	1	no	—
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	2	1	no	—
1212	#123	—	2	1	no	—
1213	#123	—	2	1	no	—
1214	#123	—	2	1	no	—
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	2	1	no	—
1223	#123	D₄×C₁₉	1	1	yes	characteristic
1224	#123	D₄×C₁₉	1	1	yes	characteristic
1225	C₂²⋊Q₈	—	2	1	no	—
1226	C₂²⋊Q₈	—	2	1	no	—
1227	C₂²⋊Q₈	—	2	1	no	—
1228	C₂²⋊Q₈	—	2	1	no	—
1229	C₂²⋊Q₈	—	2	1	no	—
1230	C₂²⋊Q₈	—	2	1	no	—
1231	C₂²⋊Q₈	—	2	1	no	—
1232	C₂²⋊Q₈	—	2	1	no	—
1233	C₂²⋊Q₈	—	2	1	no	—
1234	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1235	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1236	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1237	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1238	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	2	1	no	—
1246	#121	—	2	1	no	—
1247	#121	—	2	1	no	—
1248	#121	—	2	1	no	—
1249	#121	—	2	1	no	—
1250	#121	—	2	1	no	—
1251	#121	—	2	1	no	—
1252	#121	—	2	1	no	—
1253	#121	—	2	1	no	—
1254	#121	—	2	1	no	—
1255	#121	—	2	1	no	—
1256	#121	D₄×C₁₉	1	1	yes	characteristic
1257	#121	C₂³×C₁₉	1	1	yes	characteristic
1258	#121	C₂³×C₁₉	1	1	yes	characteristic
1259	#121	C₂³×C₁₉	1	1	yes	characteristic
1260	#121	C₂³×C₁₉	1	1	yes	characteristic
1261	#121	C₂³×C₁₉	1	1	yes	characteristic
1262	#121	C₂³×C₁₉	1	1	yes	characteristic
1263	#121	C₂³×C₁₉	1	1	yes	characteristic
1264	#121	C₂³×C₁₉	1	1	yes	characteristic
1265	#120	—	2	1	no	—
1266	#120	—	2	1	no	—
1267	#120	—	2	1	no	—
1268	#120	—	2	1	no	—
1269	#120	—	2	1	no	—
1270	#120	—	2	1	no	—
1271	#120	—	2	1	no	—
1272	#120	—	2	1	no	—
1273	#120	—	2	1	no	—
1274	#120	—	2	1	no	—
1275	#120	—	2	1	no	—
1276	#120	—	2	1	no	—
1277	#120	—	2	1	no	—
1278	#120	—	2	1	no	—
1279	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1280	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1281	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1282	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1283	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1284	C₄×D₄	—	2	1	no	—
1285	C₄×D₄	—	2	1	no	—
1286	C₄×D₄	—	2	1	no	—
1287	C₄×D₄	—	2	1	no	—
1288	C₄×D₄	—	2	1	no	—
1289	C₄×D₄	—	2	1	no	—
1290	C₄×D₄	—	2	1	no	—
1291	C₄×D₄	—	2	1	no	—
1292	C₄×D₄	—	2	1	no	—
1293	C₄×D₄	—	2	1	no	—
1294	C₄×D₄	—	2	1	no	—
1295	C₄×D₄	—	2	1	no	—
1296	C₄×D₄	—	2	1	no	—
1297	C₄×D₄	—	2	1	no	—
1298	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1299	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1300	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1301	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1302	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1303	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1304	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1305	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1306	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1307	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1308	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1309	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1310	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1311	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1312	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1313	#117	—	2	1	no	—
1314	#117	—	2	1	no	—
1315	#117	—	2	1	no	—
1316	#117	C₂³×C₁₉	1	1	yes	characteristic
1317	#117	C₂³×C₁₉	1	1	yes	characteristic
1318	#117	C₂³×C₁₉	1	1	yes	characteristic
1319	C₂×C₄⋊C₄	—	2	1	no	—
1320	C₂×C₄⋊C₄	—	2	1	no	—
1321	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1323	C₂×C₂²⋊C₄	—	2	1	no	—
1324	C₂×C₂²⋊C₄	—	2	1	no	—
1325	C₂×C₂²⋊C₄	—	2	1	no	—
1326	C₂×C₂²⋊C₄	—	2	1	no	—
1327	C₂×C₂²⋊C₄	—	2	1	no	—
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	2	1	no	—
1330	C₂×C₂²⋊C₄	—	2	1	no	—
1331	C₂×C₂²⋊C₄	—	2	1	no	—
1332	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1333	#107	C₂³×C₁₉	1	1	yes	characteristic
1334	#107	C₂³×C₁₉	1	1	yes	characteristic
1335	#107	C₂³×C₁₉	1	1	yes	characteristic
1336	#107	C₂³×C₁₉	1	1	yes	characteristic
1337	#107	C₂³×C₁₉	1	1	yes	characteristic
1338	#107	C₂³×C₁₉	1	1	yes	characteristic
1339	#106	C₂³×C₁₉	1	1	yes	characteristic
1340	#106	C₂³×C₁₉	1	1	yes	characteristic
1341	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1342	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1343	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1344	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1345	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1346	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1347	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1348	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1349	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1350	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1351	#103	C₂³×C₁₉	1	1	yes	characteristic
1352	#103	C₂³×C₁₉	1	1	yes	characteristic
1353	#103	C₂³×C₁₉	1	1	yes	characteristic
1354	#103	C₂³×C₁₉	1	1	yes	characteristic
1355	#103	C₂³×C₁₉	1	1	yes	characteristic
1356	#103	C₂³×C₁₉	1	1	yes	characteristic
1357	#103	C₂³×C₁₉	1	1	yes	characteristic
1358	#103	C₂³×C₁₉	1	1	yes	characteristic
1359	#103	C₂³×C₁₉	1	1	yes	characteristic
1360	#103	C₂³×C₁₉	1	1	yes	characteristic
1361	#102	C₂³×C₁₉	1	1	yes	characteristic
1362	#102	C₂³×C₁₉	1	1	yes	characteristic
1363	#102	C₂³×C₁₉	1	1	yes	characteristic
1364	#102	C₂³×C₁₉	1	1	yes	characteristic
1365	#102	C₂³×C₁₉	1	1	yes	characteristic
1366	#102	C₂³×C₁₉	1	1	yes	characteristic
1367	#102	C₂³×C₁₉	1	1	yes	characteristic
1368	#102	C₂³×C₁₉	1	1	yes	characteristic
1369	#102	C₂³×C₁₉	1	1	yes	characteristic
1370	#102	C₂³×C₁₉	1	1	yes	characteristic
1371	#102	C₂³×C₁₉	1	1	yes	characteristic
1372	#102	C₂³×C₁₉	1	1	yes	characteristic
1373	#102	C₂³×C₁₉	1	1	yes	characteristic
1374	#102	C₂³×C₁₉	1	1	yes	characteristic
1375	#102	C₂³×C₁₉	1	1	yes	characteristic
1376	#102	C₂³×C₁₉	1	1	yes	characteristic
1377	#102	C₂³×C₁₉	1	1	yes	characteristic
1378	#102	C₂³×C₁₉	1	1	yes	characteristic
1379	#102	C₂³×C₁₉	1	1	yes	characteristic
1380	#102	C₂³×C₁₉	1	1	yes	characteristic
1381	#102	C₂³×C₁₉	1	1	yes	characteristic
1382	#102	C₂³×C₁₉	1	1	yes	characteristic
1383	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1384	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1385	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1386	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1387	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1388	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1389	#97	C₂³×C₁₉	1	1	yes	characteristic
1390	#97	C₂³×C₁₉	1	1	yes	characteristic
1391	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1392	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1393	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1394	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1395	C₁₉	#62064	1	1	yes	characteristic, direct product factor, Sylow
1396	C₂⁴	—	2	1	no	—
1397	C₂⁴	—	2	1	no	—
1398	C₂⁴	—	2	1	no	—
1399	C₂⁴	—	2	1	no	—
1400	C₂⁴	—	2	1	no	—
1401	#41	—	2	2	no	—
1402	#41	—	4	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	1	no	—
1405	#41	—	4	1	no	—
1406	#41	—	4	1	no	—
1407	#41	—	8	2	no	—
1408	#41	—	8	2	no	—
1409	C₂×Q₈	—	2	1	no	—
1410	C₂×Q₈	—	2	1	no	—
1411	C₂×Q₈	—	2	1	no	—
1412	C₂×Q₈	—	4	1	no	—
1413	C₂×Q₈	—	4	1	no	—
1414	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1415	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1416	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1417	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1418	C₂×D₄	—	2	2	no	—
1419	C₂×D₄	—	2	2	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	4	1	no	—
1445	C₂×D₄	—	4	1	no	—
1446	C₂×D₄	—	4	1	no	—
1447	C₂×D₄	—	4	1	no	—
1448	C₂×D₄	—	4	1	no	—
1449	C₂×D₄	—	4	1	no	—
1450	C₂×D₄	—	4	1	no	—
1451	C₂×D₄	—	4	1	no	—
1452	C₂×D₄	—	8	2	no	—
1453	C₂×D₄	—	8	2	no	—
1454	C₂×D₄	—	8	2	no	—
1455	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1456	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1457	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1458	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1459	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1460	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1461	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1462	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1463	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1464	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	8	2	no	—
1484	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1485	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1487	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1488	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1489	Q₁₆	—	4	1	no	—
1490	Q₁₆	—	4	1	no	—
1491	SD₁₆	—	2	2	no	—
1492	SD₁₆	—	2	2	no	—
1493	SD₁₆	—	4	1	no	—
1494	SD₁₆	—	4	1	no	—
1495	SD₁₆	—	4	1	no	—
1496	SD₁₆	—	4	1	no	—
1497	SD₁₆	—	4	1	no	—
1498	SD₁₆	—	4	1	no	—
1499	SD₁₆	—	4	1	no	—
1500	SD₁₆	—	4	1	no	—
1501	D₈	—	2	2	no	—
1502	D₈	—	2	2	no	—
1503	D₈	—	2	2	no	—
1504	D₈	—	2	2	no	—
1505	D₈	—	4	1	no	—
1506	D₈	—	4	1	no	—
1507	D₈	—	4	1	no	—
1508	D₈	—	4	1	no	—
1509	D₈	—	4	1	no	—
1510	D₈	—	4	1	no	—
1511	D₈	—	4	1	no	—
1512	D₈	—	4	1	no	—
1513	M₁₆	—	4	1	no	—
1514	M₁₆	—	4	1	no	—
1515	C₂×C₈	—	4	1	no	—
1516	C₂×C₈	—	4	1	no	—
1517	C₂×C₈	—	4	1	no	—
1518	C₂×C₈	—	4	1	no	—
1519	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1520	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1521	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1522	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1523	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1524	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1525	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1526	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1544	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1545	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1546	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1547	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1548	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1549	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1550	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1551	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1552	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1553	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1554	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1555	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1556	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1557	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1558	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1601	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1602	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1603	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1604	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1605	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1606	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1607	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1608	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1609	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1610	C₄²	—	2	1	no	—
1611	C₄²	—	2	1	no	—
1612	C₄²	—	2	1	no	—
1613	C₄²	—	2	1	no	—
1614	C₄²	—	2	1	no	—
1615	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1616	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1617	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1618	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1619	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1620	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	4	2	no	—
1629	C₂³	—	4	2	no	—
1630	C₂³	—	4	2	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	8	1	no	—
1634	C₂³	—	8	1	no	—
1635	C₂³	—	8	1	no	—
1636	C₂³	—	8	1	no	—
1637	C₂³	—	8	1	no	—
1638	C₂³	—	8	1	no	—
1639	C₂³	—	8	1	no	—
1640	C₂³	—	8	1	no	—
1641	C₂³	—	8	1	no	—
1642	C₂³	—	8	1	no	—
1643	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1644	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1645	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1646	Q₈	—	2	1	no	—
1647	Q₈	—	2	1	no	—
1648	Q₈	—	2	1	no	—
1649	Q₈	—	2	1	no	—
1650	Q₈	—	2	1	no	—
1651	Q₈	—	2	1	no	—
1652	Q₈	—	4	1	no	—
1653	Q₈	—	8	1	no	—
1654	Q₈	—	8	1	no	—
1655	Q₈	—	8	1	no	—
1656	D₄	—	2	2	no	—
1657	D₄	—	2	2	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	2	1	no	—
1660	D₄	—	2	1	no	—
1661	D₄	—	2	1	no	—
1662	D₄	—	2	1	no	—
1663	D₄	—	2	1	no	—
1664	D₄	—	2	1	no	—
1665	D₄	—	2	1	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	2	1	no	—
1671	D₄	—	4	1	no	—
1672	D₄	—	4	2	no	—
1673	D₄	—	4	2	no	—
1674	D₄	—	4	2	no	—
1675	D₄	—	4	2	no	—
1676	D₄	—	4	2	no	—
1677	D₄	—	4	2	no	—
1678	D₄	—	8	1	no	—
1679	D₄	—	8	1	no	—
1680	D₄	—	8	1	no	—
1681	D₄	—	8	1	no	—
1682	D₄	—	8	1	no	—
1683	D₄	—	8	1	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	8	1	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	8	1	no	—
1690	D₄	—	8	1	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	—	8	1	no	—
1696	D₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
1697	C₂×C₄	—	2	2	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	4	1	no	—
1714	C₂×C₄	—	4	2	no	—
1715	C₂×C₄	—	4	2	no	—
1716	C₂×C₄	—	8	1	no	—
1717	C₂×C₄	—	8	1	no	—
1718	C₂×C₄	—	8	1	no	—
1719	C₂×C₄	—	8	1	no	—
1720	C₂×C₄	—	8	1	no	—
1721	C₂×C₄	—	8	1	no	—
1722	C₂×C₄	—	8	1	no	—
1723	C₂×C₄	—	8	1	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	8	1	no	—
1728	C₂×C₄	—	8	1	no	—
1729	C₂×C₄	—	8	1	no	—
1730	C₂×C₄	—	8	1	no	—
1731	C₂×C₄	—	8	1	no	—
1732	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1733	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1734	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1735	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1736	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1737	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1738	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1739	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1740	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1741	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1742	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1743	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	2	1	no	—
1748	C₈	—	2	1	no	—
1749	C₈	—	2	1	no	—
1750	C₈	—	2	1	no	—
1751	C₈	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	1	no	—
1756	C₂²	—	2	2	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	8	4	no	—
1782	C₂²	—	16	2	no	—
1783	C₂²	—	16	2	no	—
1784	C₂²	—	16	2	no	—
1785	C₂²	—	16	2	no	—
1786	C₂²	C₁₉×#576	1	2	yes	—
1787	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	2	1	no	—
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1809	C₄	C₁₉×#585	1	1	yes	characteristic
1810	C₂	—	2	2	no	—
1811	C₂	—	4	1	no	—
1812	C₂	—	4	1	no	—
1813	C₂	—	4	2	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	8	1	no	—
1816	C₂	—	8	1	no	—
1817	C₂	—	8	1	no	—
1818	C₂	—	8	1	no	—
1819	C₂	—	8	1	no	—
1820	C₂	C₁₉×#3488	1	1	yes	characteristic
1821	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1822	C₂	C₁₉×#3584	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×#3558	C₂	semidirect
2. C₁₉×#3513	C₂	semidirect
3. C₁₉×#3403	C₂	semidirect
4. C₁₉×#3396	C₂	semidirect
5. C₁₉×#3370	C₂	semidirect
6. C₁₉×#3361	C₂	semidirect
7. C₁₉×#3322	C₂	semidirect
8. C₁₉×#3310	C₂	semidirect
9. C₁₉×#3308	C₂	semidirect
10. C₁₉×#3300	C₂	semidirect
11. C₁₉×#3297	C₂	semidirect
12. C₁₉×#3294	C₂	semidirect
13. C₁₉×#3282	C₂	semidirect
14. C₁₉×#3280	C₂	semidirect
15. D₄×D₈×C₁₉	C₂	semidirect
16. C₁₉×#3273	C₂	semidirect
17. C₁₉×#3265	C₂	semidirect
18. C₁₉×#3264	C₂	semidirect
19. C₁₉×#3262	C₂	semidirect
20. C₁₉×#3257	C₂	semidirect
21. C₁₉×#3247	C₂	semidirect
22. C₁₉×#3224	C₂	semidirect
23. C₁₉×#3220	C₂	semidirect
24. C₁₉×#3211	C₂	semidirect
25. C₁₉×#3124	C₂	semidirect
26. C₁₉×#3118	C₂	semidirect
27. C₁₉×#3100	C₂	semidirect
28. C₁₉×#3045	C₂	semidirect
29. C₁₉×#3041	C₂	semidirect
30. C₂×C₁₉×#463	C₂	semidirect
31. C₁₉×#2994	C₂	semidirect
32. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₁₉×#135	C₂²	semidirect
35. C₂²×SD₁₆×C₁₉	C₂²	semidirect
37. C₂²×D₈×C₁₉	C₂²	semidirect
40. C₁₉×#559	C₂²	semidirect
41. C₁₉×#559	C₂²	semidirect
42. C₁₉×#559	C₂²	semidirect
43. C₁₉×#554	C₂²	semidirect
45. C₁₉×#553	C₂²	semidirect
46. C₁₉×#552	C₂²	semidirect
50. C₁₉×#548	C₂²	semidirect
51. C₁₉×#547	C₂²	semidirect
55. C₁₉×#546	C₂²	semidirect
56. C₁₉×#546	C₂²	semidirect
57. C₁₉×#546	C₂²	semidirect
58. C₁₉×#546	C₂²	semidirect
60. D₄²×C₁₉	C₂²	semidirect
61. D₄²×C₁₉	C₂²	semidirect
62. C₁₉×#542	C₂²	semidirect
63. C₁₉×#542	C₂²	semidirect
64. C₁₉×#542	C₂²	semidirect
65. C₁₉×#540	C₂²	semidirect
71. C₁₉×#535	C₂²	semidirect
72. C₁₉×#535	C₂²	semidirect
74. C₁₉×#532	C₂²	semidirect
76. C₁₉×#529	C₂²	semidirect
77. C₂×C₁₉×#124	C₂²	semidirect
80. C₁₉×#520	C₂²	semidirect
81. C₁₉×#518	C₂²	semidirect
82. C₂×C₄×D₄×C₁₉	C₂²	semidirect
83. C₁₉×#496	C₂²	semidirect
84. C₁₉×#496	C₂²	semidirect
85. C₁₉×#495	C₂²	semidirect
86. C₁₉×#495	C₂²	semidirect
87. C₁₉×#495	C₂²	semidirect
89. C₁₉×#490	C₂²	semidirect
90. C₁₉×#489	C₂²	semidirect
91. C₁₉×#488	C₂²	semidirect
92. C₁₉×#488	C₂²	semidirect
93. C₁₉×#488	C₂²	semidirect
94. C₁₉×#486	C₂²	semidirect
95. C₁₉×#485	C₂²	semidirect
96. C₁₉×#484	C₂²	semidirect
97. C₁₉×#482	C₂²	semidirect
98. C₁₉×#480	C₂²	semidirect
99. C₁₉×#480	C₂²	semidirect
100. C₁₉×#480	C₂²	semidirect
101. C₁₉×#479	C₂²	semidirect
102. C₁₉×#478	C₂²	semidirect
103. C₁₉×#478	C₂²	semidirect
104. C₁₉×#478	C₂²	semidirect
105. C₁₉×#477	C₂²	semidirect
106. C₁₉×#477	C₂²	semidirect
107. C₁₉×#476	C₂²	semidirect
108. C₁₉×#474	C₂²	semidirect
109. C₁₉×#474	C₂²	semidirect
110. C₁₉×#474	C₂²	semidirect
111. C₁₉×#469	C₂²	semidirect
112. C₁₉×#468	C₂²	semidirect
113. C₁₉×#468	C₂²	semidirect
114. C₁₉×#468	C₂²	semidirect
115. C₁₉×#467	C₂²	semidirect
117. C₁₉×#466	C₂²	semidirect
118. C₁₉×#466	C₂²	semidirect
119. C₁₉×#466	C₂²	semidirect
120. C₁₉×#465	C₂²	semidirect
121. C₁₉×#465	C₂²	semidirect
122. C₁₉×#465	C₂²	semidirect
123. C₁₉×#464	C₂²	semidirect
124. C₁₉×#464	C₂²	semidirect
125. C₁₉×#464	C₂²	semidirect
126. C₁₉×#464	C₂²	semidirect
127. C₁₉×#463	C₂²	semidirect
128. C₁₉×#463	C₂²	semidirect
129. C₁₉×#463	C₂²	semidirect
130. C₁₉×#463	C₂²	semidirect
131. C₁₉×#463	C₂²	semidirect
132. C₁₉×#463	C₂²	semidirect
133. C₁₉×#463	C₂²	semidirect
134. C₁₉×#463	C₂²	semidirect
135. C₁₉×#463	C₂²	semidirect
136. C₁₉×#463	C₂²	semidirect
137. C₁₉×#463	C₂²	semidirect
138. C₁₉×#463	C₂²	semidirect
139. C₁₉×#463	C₂²	semidirect
140. C₁₉×#463	C₂²	semidirect
141. C₁₉×#463	C₂²	semidirect
142. C₁₉×#463	C₂²	semidirect
143. C₁₉×#460	C₂²	semidirect
144. C₁₉×#460	C₂²	semidirect
145. C₁₉×#460	C₂²	semidirect
148. C₁₉×#459	C₂²	semidirect
149. C₁₉×#459	C₂²	semidirect
150. C₁₉×#459	C₂²	semidirect
151. C₁₉×#459	C₂²	semidirect
152. C₁₉×#459	C₂²	semidirect
153. C₁₉×#452	C₂²	semidirect
154. C₁₉×#452	C₂²	semidirect
155. C₁₉×#451	C₂²	semidirect
156. C₁₉×#450	C₂²	semidirect
157. C₁₉×#450	C₂²	semidirect
158. C₁₉×#450	C₂²	semidirect
160. C₁₉×#449	C₂²	semidirect
161. C₁₉×#449	C₂²	semidirect
162. C₁₉×#449	C₂²	semidirect
163. C₁₉×#448	C₂²	semidirect
166. C₁₉×#447	C₂²	semidirect
167. C₁₉×#447	C₂²	semidirect
168. C₁₉×#447	C₂²	semidirect
169. C₁₉×#447	C₂²	semidirect
170. C₁₉×#447	C₂²	semidirect
171. C₁₉×#446	C₂²	semidirect
172. C₈×Q₈×C₁₉	C₂²	semidirect
173. C₁₉×#442	C₂²	semidirect
174. C₁₉×#440	C₂²	semidirect
175. C₁₉×#440	C₂²	semidirect
176. C₁₉×#440	C₂²	semidirect
177. C₄×Q₁₆×C₁₉	C₂²	semidirect
178. C₄×SD₁₆×C₁₉	C₂²	semidirect
179. C₄×D₈×C₁₉	C₂²	semidirect
180. C₄×D₈×C₁₉	C₂²	semidirect
181. C₄×D₈×C₁₉	C₂²	semidirect
182. C₄×D₈×C₁₉	C₂²	semidirect
183. C₄×D₈×C₁₉	C₂²	semidirect
184. C₄×D₈×C₁₉	C₂²	semidirect
185. C₁₉×#436	C₂²	semidirect
186. C₁₉×#435	C₂²	semidirect
187. C₁₉×#435	C₂²	semidirect
188. C₈×D₄×C₁₉	C₂²	semidirect
189. C₈×D₄×C₁₉	C₂²	semidirect
190. C₈×D₄×C₁₉	C₂²	semidirect
191. C₁₉×#433	C₂²	semidirect
192. C₁₉×#433	C₂²	semidirect
193. C₁₉×#431	C₂²	semidirect
194. C₁₉×#424	C₂²	semidirect
195. C₁₉×#424	C₂²	semidirect
196. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
197. C₁₉×#418	C₂²	semidirect
198. C₁₉×#417	C₂²	semidirect
199. C₁₉×#416	C₂²	semidirect
200. C₂×C₁₉×#103	C₂²	semidirect
201. C₂×C₁₉×#102	C₂²	semidirect
202. C₂×C₁₉×#102	C₂²	semidirect
709. #62064	C₁₉	direct (N × H)
841. #3558	C₂×C₁₉	semidirect
842. #3513	C₂×C₁₉	semidirect
843. #3403	C₂×C₁₉	semidirect
844. #3396	C₂×C₁₉	semidirect
845. #3370	C₂×C₁₉	semidirect
846. #3361	C₂×C₁₉	semidirect
847. #3322	C₂×C₁₉	semidirect
848. #3310	C₂×C₁₉	semidirect
849. #3308	C₂×C₁₉	semidirect
850. #3300	C₂×C₁₉	semidirect
851. #3297	C₂×C₁₉	semidirect
852. #3294	C₂×C₁₉	semidirect
853. #3282	C₂×C₁₉	semidirect
854. #3280	C₂×C₁₉	semidirect
855. D₄×D₈	C₂×C₁₉	semidirect
856. #3273	C₂×C₁₉	semidirect
857. #3265	C₂×C₁₉	semidirect
858. #3264	C₂×C₁₉	semidirect
859. #3262	C₂×C₁₉	semidirect
860. #3257	C₂×C₁₉	semidirect
861. #3247	C₂×C₁₉	semidirect
862. #3224	C₂×C₁₉	semidirect
863. #3220	C₂×C₁₉	semidirect
864. #3211	C₂×C₁₉	semidirect
865. #3124	C₂×C₁₉	semidirect
866. #3118	C₂×C₁₉	semidirect
867. #3100	C₂×C₁₉	semidirect
868. #3045	C₂×C₁₉	semidirect
869. #3041	C₂×C₁₉	semidirect
870. C₂×#463	C₂×C₁₉	semidirect
871. #2994	C₂×C₁₉	semidirect
930. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
931. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
932. C₂×#135	C₂²×C₁₉	semidirect
933. C₂²×SD₁₆	C₂²×C₁₉	semidirect
935. C₂²×D₈	C₂²×C₁₉	semidirect
938. #559	C₂²×C₁₉	semidirect
939. #559	C₂²×C₁₉	semidirect
940. #559	C₂²×C₁₉	semidirect
941. #554	C₂²×C₁₉	semidirect
943. #553	C₂²×C₁₉	semidirect
944. #552	C₂²×C₁₉	semidirect
948. #548	C₂²×C₁₉	semidirect
949. #547	C₂²×C₁₉	semidirect
953. #546	C₂²×C₁₉	semidirect
954. #546	C₂²×C₁₉	semidirect
955. #546	C₂²×C₁₉	semidirect
956. #546	C₂²×C₁₉	semidirect
958. D₄²	C₂²×C₁₉	semidirect
959. D₄²	C₂²×C₁₉	semidirect
960. #542	C₂²×C₁₉	semidirect
961. #542	C₂²×C₁₉	semidirect
962. #542	C₂²×C₁₉	semidirect
963. #540	C₂²×C₁₉	semidirect
969. #535	C₂²×C₁₉	semidirect
970. #535	C₂²×C₁₉	semidirect
972. #532	C₂²×C₁₉	semidirect
974. #529	C₂²×C₁₉	semidirect
975. C₂×#124	C₂²×C₁₉	semidirect
978. #520	C₂²×C₁₉	semidirect
979. #518	C₂²×C₁₉	semidirect
980. C₂×C₄×D₄	C₂²×C₁₉	semidirect
981. #496	C₂²×C₁₉	semidirect
982. #496	C₂²×C₁₉	semidirect
983. #495	C₂²×C₁₉	semidirect
984. #495	C₂²×C₁₉	semidirect
985. #495	C₂²×C₁₉	semidirect
987. #490	C₂²×C₁₉	semidirect
988. #489	C₂²×C₁₉	semidirect
989. #488	C₂²×C₁₉	semidirect
990. #488	C₂²×C₁₉	semidirect
991. #488	C₂²×C₁₉	semidirect
992. #486	C₂²×C₁₉	semidirect
993. #485	C₂²×C₁₉	semidirect
994. #484	C₂²×C₁₉	semidirect
995. #482	C₂²×C₁₉	semidirect
996. #480	C₂²×C₁₉	semidirect
997. #480	C₂²×C₁₉	semidirect
998. #480	C₂²×C₁₉	semidirect
999. #479	C₂²×C₁₉	semidirect
1000. #478	C₂²×C₁₉	semidirect
1001. #478	C₂²×C₁₉	semidirect
1002. #478	C₂²×C₁₉	semidirect
1003. #477	C₂²×C₁₉	semidirect
1004. #477	C₂²×C₁₉	semidirect
1005. #476	C₂²×C₁₉	semidirect
1006. #474	C₂²×C₁₉	semidirect
1007. #474	C₂²×C₁₉	semidirect
1008. #474	C₂²×C₁₉	semidirect
1009. #469	C₂²×C₁₉	semidirect
1010. #468	C₂²×C₁₉	semidirect
1011. #468	C₂²×C₁₉	semidirect
1012. #468	C₂²×C₁₉	semidirect
1013. #467	C₂²×C₁₉	semidirect
1015. #466	C₂²×C₁₉	semidirect
1016. #466	C₂²×C₁₉	semidirect
1017. #466	C₂²×C₁₉	semidirect
1018. #465	C₂²×C₁₉	semidirect
1019. #465	C₂²×C₁₉	semidirect
1020. #465	C₂²×C₁₉	semidirect
1021. #464	C₂²×C₁₉	semidirect
1022. #464	C₂²×C₁₉	semidirect
1023. #464	C₂²×C₁₉	semidirect
1024. #464	C₂²×C₁₉	semidirect
1025. #463	C₂²×C₁₉	semidirect
1026. #463	C₂²×C₁₉	semidirect
1027. #463	C₂²×C₁₉	semidirect
1028. #463	C₂²×C₁₉	semidirect
1029. #463	C₂²×C₁₉	semidirect
1030. #463	C₂²×C₁₉	semidirect
1031. #463	C₂²×C₁₉	semidirect
1032. #463	C₂²×C₁₉	semidirect
1033. #463	C₂²×C₁₉	semidirect
1034. #463	C₂²×C₁₉	semidirect
1035. #463	C₂²×C₁₉	semidirect
1036. #463	C₂²×C₁₉	semidirect
1037. #463	C₂²×C₁₉	semidirect
1038. #463	C₂²×C₁₉	semidirect
1039. #463	C₂²×C₁₉	semidirect
1040. #463	C₂²×C₁₉	semidirect
1041. #460	C₂²×C₁₉	semidirect
1042. #460	C₂²×C₁₉	semidirect
1043. #460	C₂²×C₁₉	semidirect
1046. #459	C₂²×C₁₉	semidirect
1047. #459	C₂²×C₁₉	semidirect
1048. #459	C₂²×C₁₉	semidirect
1049. #459	C₂²×C₁₉	semidirect
1050. #459	C₂²×C₁₉	semidirect
1051. #452	C₂²×C₁₉	semidirect
1052. #452	C₂²×C₁₉	semidirect
1053. #451	C₂²×C₁₉	semidirect
1054. #450	C₂²×C₁₉	semidirect
1055. #450	C₂²×C₁₉	semidirect
1056. #450	C₂²×C₁₉	semidirect
1058. #449	C₂²×C₁₉	semidirect
1059. #449	C₂²×C₁₉	semidirect
1060. #449	C₂²×C₁₉	semidirect
1061. #448	C₂²×C₁₉	semidirect
1064. #447	C₂²×C₁₉	semidirect
1065. #447	C₂²×C₁₉	semidirect
1066. #447	C₂²×C₁₉	semidirect
1067. #447	C₂²×C₁₉	semidirect
1068. #447	C₂²×C₁₉	semidirect
1069. #446	C₂²×C₁₉	semidirect
1070. C₈×Q₈	C₂²×C₁₉	semidirect
1071. #442	C₂²×C₁₉	semidirect
1072. #440	C₂²×C₁₉	semidirect
1073. #440	C₂²×C₁₉	semidirect
1074. #440	C₂²×C₁₉	semidirect
1075. C₄×Q₁₆	C₂²×C₁₉	semidirect
1076. C₄×SD₁₆	C₂²×C₁₉	semidirect
1077. C₄×D₈	C₂²×C₁₉	semidirect
1078. C₄×D₈	C₂²×C₁₉	semidirect
1079. C₄×D₈	C₂²×C₁₉	semidirect
1080. C₄×D₈	C₂²×C₁₉	semidirect
1081. C₄×D₈	C₂²×C₁₉	semidirect
1082. C₄×D₈	C₂²×C₁₉	semidirect
1083. #436	C₂²×C₁₉	semidirect
1084. #435	C₂²×C₁₉	semidirect
1085. #435	C₂²×C₁₉	semidirect
1086. C₈×D₄	C₂²×C₁₉	semidirect
1087. C₈×D₄	C₂²×C₁₉	semidirect
1088. C₈×D₄	C₂²×C₁₉	semidirect
1089. #433	C₂²×C₁₉	semidirect
1090. #433	C₂²×C₁₉	semidirect
1091. #431	C₂²×C₁₉	semidirect
1092. #424	C₂²×C₁₉	semidirect
1093. #424	C₂²×C₁₉	semidirect
1094. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
1095. #418	C₂²×C₁₉	semidirect
1096. #417	C₂²×C₁₉	semidirect
1097. #416	C₂²×C₁₉	semidirect
1098. C₂×#103	C₂²×C₁₉	semidirect
1099. C₂×#102	C₂²×C₁₉	semidirect
1100. C₂×#102	C₂²×C₁₉	semidirect
1395. C₁₉	#62064	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×#3558	2
C₁₉×#3513	2
C₁₉×#3403	2
C₁₉×#3396	2
C₁₉×#3370	2
C₁₉×#3361	2
C₁₉×#3322	2
C₁₉×#3310	2
C₁₉×#3308	2
C₁₉×#3300	2
C₁₉×#3297	2
C₁₉×#3294	2
C₁₉×#3282	2
C₁₉×#3280	2
D₄×D₈×C₁₉	2
C₁₉×#3273	2
C₁₉×#3265	2
C₁₉×#3264	2
C₁₉×#3262	2
C₁₉×#3257	2
C₁₉×#3247	2
C₁₉×#3224	2
C₁₉×#3220	2
C₁₉×#3211	2
C₁₉×#3124	2
C₁₉×#3118	2
C₁₉×#3100	2
C₁₉×#3045	2
C₁₉×#3041	2
C₂×C₁₉×#463	2
C₁₉×#2994	2
#62064	19

Subgroups — C19×#62064 #18068023

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62064 #18068023