Subgroups — C₁₉×#62048 #18068007

Order 4864.

1796 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3561	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3393	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3327	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3322	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3320	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3311	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3300	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3275	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3273	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3263	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3252	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3223	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×#3107	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#3042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₉×#3040	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic
33	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
36	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
37	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#563	—	2	1	no	—
39	C₁₉×#562	—	2	1	no	—
40	C₁₉×#556	C₂²	1	1	yes	characteristic
41	C₁₉×#556	C₂²	1	1	yes	characteristic, complemented
42	C₁₉×#556	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#556	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#554	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#553	—	2	1	no	—
46	C₁₉×#553	C₂²	1	1	yes	characteristic
47	C₁₉×#552	—	2	1	no	—
48	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#551	—	2	1	no	—
50	C₁₉×#551	—	2	1	no	—
51	C₁₉×#551	—	2	1	no	—
52	C₁₉×#551	—	2	1	no	—
53	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	C₁₉×#548	C₂²	1	1	yes	characteristic
56	C₁₉×#548	C₂²	1	1	yes	characteristic
57	C₁₉×#547	C₂²	1	1	yes	characteristic
58	C₁₉×#546	C₂²	1	1	yes	characteristic
59	C₁₉×#546	C₂²	1	1	yes	characteristic
60	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
61	C₁₉×#546	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#543	—	2	1	no	—
63	C₁₉×#542	—	2	1	no	—
64	C₁₉×#542	—	2	1	no	—
65	C₁₉×#542	C₂²	1	1	yes	characteristic
66	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×#542	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#541	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×#539	—	2	1	no	—
70	C₁₉×#538	—	2	1	no	—
71	C₁₉×#538	—	2	1	no	—
72	C₁₉×#536	C₂²	1	1	yes	characteristic
73	C₁₉×#536	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#533	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#529	—	2	1	no	—
76	C₁₉×#529	C₂²	1	1	yes	characteristic
77	C₁₉×#529	C₂²	1	1	yes	characteristic
78	C₂×C₁₉×#126	—	2	1	no	—
79	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₉×#518	C₂²	1	1	yes	characteristic, complemented
82	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
83	C₁₉×#497	C₂²	1	1	yes	characteristic, complemented
84	C₁₉×#497	C₂²	1	1	yes	characteristic, complemented
85	C₁₉×#495	C₂²	1	1	yes	characteristic
86	C₁₉×#495	C₂²	1	1	yes	characteristic
87	C₁₉×#495	C₂²	1	1	yes	characteristic
88	C₁₉×#494	C₂²	1	1	yes	characteristic, complemented
89	C₁₉×#491	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×#487	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
99	C₁₉×#482	C₂²	1	1	yes	characteristic
100	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
101	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
102	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#479	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×#476	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
112	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
115	C₁₉×#469	C₂²	1	1	yes	characteristic
116	C₁₉×#468	C₂²	1	1	yes	characteristic
117	C₁₉×#468	C₂²	1	1	yes	characteristic
118	C₁₉×#468	C₂²	1	1	yes	characteristic
119	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
120	C₁₉×#465	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
133	C₁₉×#463	C₂²	1	1	yes	characteristic
134	C₁₉×#463	C₂²	1	1	yes	characteristic
135	C₁₉×#463	C₂²	1	1	yes	characteristic
136	C₁₉×#463	C₂²	1	1	yes	characteristic
137	C₁₉×#463	C₂²	1	1	yes	characteristic
138	C₁₉×#463	C₂²	1	1	yes	characteristic
139	C₁₉×#463	C₂²	1	1	yes	characteristic
140	C₁₉×#463	C₂²	1	1	yes	characteristic
141	C₁₉×#463	C₂²	1	1	yes	characteristic
142	C₁₉×#463	C₂²	1	1	yes	characteristic
143	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
144	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
145	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
146	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
147	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
148	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
149	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
150	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
151	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
152	C₁₉×#461	C₂²	1	1	yes	characteristic, complemented
153	C₁₉×#452	C₂²	1	1	yes	characteristic
154	C₁₉×#452	C₂²	1	1	yes	characteristic
155	C₁₉×#452	C₂²	1	1	yes	characteristic
156	C₁₉×#452	C₂²	1	1	yes	characteristic
157	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
158	C₁₉×#452	C₂²	1	1	yes	characteristic, complemented
159	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
160	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
161	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
162	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
163	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
164	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
165	C₁₉×#449	C₂²	1	1	yes	characteristic
166	C₁₉×#449	C₂²	1	1	yes	characteristic
167	C₁₉×#448	C₂²	1	1	yes	characteristic
168	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
169	C₁₉×#447	C₂²	1	1	yes	characteristic
170	C₁₉×#447	C₂²	1	1	yes	characteristic
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
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×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
179	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
184	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
185	C₁₉×#436	C₂²	1	1	yes	characteristic
186	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
187	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
188	C₁₉×#435	C₂²	1	1	yes	characteristic
189	C₁₉×#435	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	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
197	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
198	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
199	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
200	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
201	C₁₉×#416	C₂²	1	1	yes	characteristic
202	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
212	C₁₉×#137	—	4	2	no	—
213	C₁₉×#137	—	4	2	no	—
214	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
215	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
216	C₁₉×#135	—	4	2	no	—
217	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₁₉	—	4	2	no	—
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×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×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×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
244	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
248	C₁₉×C₄⋊Q₈	—	2	1	no	—
249	C₁₉×C₄⋊Q₈	—	2	1	no	—
250	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₉×C₄⋊Q₈	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×#126	—	2	1	no	—
257	C₁₉×#126	—	2	1	no	—
258	C₁₉×#126	—	2	1	no	—
259	C₁₉×#126	—	2	1	no	—
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	—	2	1	no	—
267	C₁₉×#126	—	2	1	no	—
268	C₁₉×#126	—	2	1	no	—
269	C₁₉×#126	—	2	1	no	—
270	C₁₉×#126	—	2	1	no	—
271	C₁₉×#126	—	2	1	no	—
272	C₁₉×#126	D₄	1	1	yes	characteristic
273	C₁₉×#126	D₄	1	1	yes	characteristic
274	C₁₉×#125	—	2	1	no	—
275	C₁₉×#125	—	2	1	no	—
276	C₁₉×#125	—	2	1	no	—
277	C₁₉×#125	—	2	1	no	—
278	C₁₉×#125	D₄	1	1	yes	characteristic
279	C₁₉×#125	C₂³	1	1	yes	characteristic
280	C₁₉×#125	C₂³	1	1	yes	characteristic
281	C₁₉×#124	—	2	1	no	—
282	C₁₉×#124	—	2	1	no	—
283	C₁₉×#124	—	2	1	no	—
284	C₁₉×#124	—	2	1	no	—
285	C₁₉×#124	—	2	1	no	—
286	C₁₉×#124	—	2	1	no	—
287	C₁₉×#124	—	2	1	no	—
288	C₁₉×#124	—	2	1	no	—
289	C₁₉×#124	D₄	1	1	yes	characteristic
290	C₁₉×#124	C₂³	1	1	yes	characteristic
291	C₁₉×#124	C₂³	1	1	yes	characteristic
292	C₁₉×#124	C₂³	1	1	yes	characteristic
293	C₁₉×#124	C₂³	1	1	yes	characteristic
294	C₁₉×#124	C₂³	1	1	yes	characteristic
295	C₁₉×#124	C₂³	1	1	yes	characteristic
296	C₁₉×#124	C₂³	1	1	yes	characteristic
297	C₁₉×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
313	C₁₉×#123	—	2	1	no	—
314	C₁₉×#123	D₄	1	1	yes	characteristic
315	C₁₉×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
324	C₁₉×C₂²⋊Q₈	—	2	1	no	—
325	C₁₉×C₂²⋊Q₈	—	2	1	no	—
326	C₁₉×C₂²⋊Q₈	—	2	1	no	—
327	C₁₉×C₂²⋊Q₈	—	2	1	no	—
328	C₁₉×C₂²⋊Q₈	—	2	1	no	—
329	C₁₉×C₂²⋊Q₈	—	2	1	no	—
330	C₁₉×C₂²⋊Q₈	—	2	1	no	—
331	C₁₉×C₂²⋊Q₈	—	2	1	no	—
332	C₁₉×C₂²⋊Q₈	—	2	1	no	—
333	C₁₉×C₂²⋊Q₈	—	2	1	no	—
334	C₁₉×C₂²⋊Q₈	—	2	1	no	—
335	C₁₉×C₂²⋊Q₈	—	2	1	no	—
336	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
337	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₁₉×#121	—	2	1	no	—
346	C₁₉×#121	—	2	1	no	—
347	C₁₉×#121	—	2	1	no	—
348	C₁₉×#121	—	2	1	no	—
349	C₁₉×#121	—	2	1	no	—
350	C₁₉×#121	—	2	1	no	—
351	C₁₉×#121	—	2	1	no	—
352	C₁₉×#121	—	2	1	no	—
353	C₁₉×#121	D₄	1	1	yes	characteristic
354	C₁₉×#121	C₂³	1	1	yes	characteristic
355	C₁₉×#121	C₂³	1	1	yes	characteristic
356	C₁₉×#121	C₂³	1	1	yes	characteristic
357	C₁₉×#121	C₂³	1	1	yes	characteristic
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	C₄×Q₈×C₁₉	—	2	1	no	—
363	C₄×Q₈×C₁₉	—	2	1	no	—
364	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
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	C₁₉×#117	—	2	1	no	—
397	C₁₉×#117	—	2	1	no	—
398	C₁₉×#117	—	2	1	no	—
399	C₁₉×#117	—	2	1	no	—
400	C₁₉×#117	—	2	1	no	—
401	C₁₉×#117	—	2	1	no	—
402	C₁₉×#117	—	2	1	no	—
403	C₁₉×#117	—	2	1	no	—
404	C₁₉×#117	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
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×C₄²×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×#106	C₂³	1	1	yes	characteristic
427	C₁₉×#106	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×#103	C₂³	1	1	yes	characteristic
451	C₁₉×#103	C₂³	1	1	yes	characteristic
452	C₁₉×#103	C₂³	1	1	yes	characteristic
453	C₁₉×#103	C₂³	1	1	yes	characteristic
454	C₁₉×#103	C₂³	1	1	yes	characteristic
455	C₁₉×#103	C₂³	1	1	yes	characteristic
456	C₁₉×#103	C₂³	1	1	yes	characteristic
457	C₁₉×#103	C₂³	1	1	yes	characteristic
458	C₁₉×#103	C₂³	1	1	yes	characteristic
459	C₁₉×#103	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	#41×C₁₉	—	2	2	no	—
487	#41×C₁₉	—	2	2	no	—
488	#41×C₁₉	—	4	1	no	—
489	#41×C₁₉	—	4	1	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	C₂×Q₈×C₁₉	—	2	1	no	—
495	C₂×Q₈×C₁₉	—	2	1	no	—
496	C₂×Q₈×C₁₉	—	2	1	no	—
497	C₂×Q₈×C₁₉	—	2	1	no	—
498	C₂×Q₈×C₁₉	—	2	1	no	—
499	C₂×Q₈×C₁₉	—	4	1	no	—
500	C₂×Q₈×C₁₉	—	4	1	no	—
501	C₂×Q₈×C₁₉	—	4	1	no	—
502	C₂×Q₈×C₁₉	—	4	1	no	—
503	C₂×Q₈×C₁₉	—	4	1	no	—
504	C₂×Q₈×C₁₉	—	4	1	no	—
505	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
506	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₉	—	2	2	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	—	4	1	no	—
524	C₂×D₄×C₁₉	—	4	1	no	—
525	C₂×D₄×C₁₉	—	4	1	no	—
526	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
529	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₉	—	2	1	no	—
534	C₂²×C₄×C₁₉	—	2	1	no	—
535	C₂²×C₄×C₁₉	—	2	1	no	—
536	C₂²×C₄×C₁₉	—	2	1	no	—
537	C₂²×C₄×C₁₉	—	2	1	no	—
538	C₂²×C₄×C₁₉	—	2	1	no	—
539	C₂²×C₄×C₁₉	—	2	1	no	—
540	C₂²×C₄×C₁₉	—	2	1	no	—
541	C₂²×C₄×C₁₉	—	2	1	no	—
542	C₂²×C₄×C₁₉	—	2	1	no	—
543	C₂²×C₄×C₁₉	—	2	1	no	—
544	C₂²×C₄×C₁₉	—	2	1	no	—
545	C₂²×C₄×C₁₉	—	2	1	no	—
546	C₂²×C₄×C₁₉	—	2	1	no	—
547	C₂²×C₄×C₁₉	—	2	1	no	—
548	C₂²×C₄×C₁₉	—	2	1	no	—
549	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
554	Q₁₆×C₁₉	—	4	1	no	—
555	Q₁₆×C₁₉	—	4	1	no	—
556	Q₁₆×C₁₉	—	4	1	no	—
557	Q₁₆×C₁₉	—	4	1	no	—
558	Q₁₆×C₁₉	—	4	1	no	—
559	Q₁₆×C₁₉	—	4	1	no	—
560	Q₁₆×C₁₉	—	4	1	no	—
561	Q₁₆×C₁₉	—	4	1	no	—
562	SD₁₆×C₁₉	—	2	2	no	—
563	SD₁₆×C₁₉	—	2	2	no	—
564	SD₁₆×C₁₉	—	2	2	no	—
565	SD₁₆×C₁₉	—	2	2	no	—
566	SD₁₆×C₁₉	—	4	1	no	—
567	SD₁₆×C₁₉	—	4	1	no	—
568	SD₁₆×C₁₉	—	4	1	no	—
569	SD₁₆×C₁₉	—	4	1	no	—
570	SD₁₆×C₁₉	—	4	1	no	—
571	SD₁₆×C₁₉	—	4	1	no	—
572	SD₁₆×C₁₉	—	4	1	no	—
573	SD₁₆×C₁₉	—	4	1	no	—
574	D₈×C₁₉	—	2	2	no	—
575	D₈×C₁₉	—	2	2	no	—
576	D₈×C₁₉	—	4	1	no	—
577	D₈×C₁₉	—	4	1	no	—
578	M₁₆×C₁₉	—	4	1	no	—
579	M₁₆×C₁₉	—	4	1	no	—
580	M₁₆×C₁₉	—	4	1	no	—
581	M₁₆×C₁₉	—	4	1	no	—
582	C₂×C₈×C₁₉	—	4	1	no	—
583	C₂×C₈×C₁₉	—	4	1	no	—
584	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
592	C₄⋊C₄×C₁₉	—	2	1	no	—
593	C₄⋊C₄×C₁₉	—	2	1	no	—
594	C₄⋊C₄×C₁₉	—	2	1	no	—
595	C₄⋊C₄×C₁₉	—	2	1	no	—
596	C₄⋊C₄×C₁₉	—	2	1	no	—
597	C₄⋊C₄×C₁₉	—	2	1	no	—
598	C₄⋊C₄×C₁₉	—	2	1	no	—
599	C₄⋊C₄×C₁₉	—	2	1	no	—
600	C₄⋊C₄×C₁₉	—	2	1	no	—
601	C₄⋊C₄×C₁₉	—	2	1	no	—
602	C₄⋊C₄×C₁₉	—	2	1	no	—
603	C₄⋊C₄×C₁₉	—	2	1	no	—
604	C₄⋊C₄×C₁₉	—	2	1	no	—
605	C₄⋊C₄×C₁₉	—	2	1	no	—
606	C₄⋊C₄×C₁₉	—	2	1	no	—
607	C₄⋊C₄×C₁₉	—	2	1	no	—
608	C₄⋊C₄×C₁₉	—	2	1	no	—
609	C₄⋊C₄×C₁₉	—	2	1	no	—
610	C₄⋊C₄×C₁₉	—	2	1	no	—
611	C₄⋊C₄×C₁₉	—	2	1	no	—
612	C₄⋊C₄×C₁₉	—	2	1	no	—
613	C₄⋊C₄×C₁₉	—	2	1	no	—
614	C₄⋊C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
624	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
625	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
626	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
627	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
628	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
629	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
634	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
635	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
637	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
638	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
639	C₂²⋊C₄×C₁₉	—	2	1	no	—
640	C₂²⋊C₄×C₁₉	—	2	1	no	—
641	C₂²⋊C₄×C₁₉	—	2	1	no	—
642	C₂²⋊C₄×C₁₉	—	2	1	no	—
643	C₂²⋊C₄×C₁₉	—	2	1	no	—
644	C₂²⋊C₄×C₁₉	—	2	1	no	—
645	C₂²⋊C₄×C₁₉	—	2	1	no	—
646	C₂²⋊C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
687	C₄²×C₁₉	—	2	1	no	—
688	C₄²×C₁₉	—	2	1	no	—
689	C₄²×C₁₉	—	2	1	no	—
690	C₄²×C₁₉	—	2	1	no	—
691	C₄²×C₁₉	—	2	1	no	—
692	C₄²×C₁₉	—	2	1	no	—
693	C₄²×C₁₉	—	2	1	no	—
694	C₄²×C₁₉	—	2	1	no	—
695	C₄²×C₁₉	—	2	1	no	—
696	C₄²×C₁₉	—	2	1	no	—
697	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
700	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
701	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
702	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
703	#62048	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
704	C₂³×C₁₉	—	2	1	no	—
705	C₂³×C₁₉	—	2	1	no	—
706	C₂³×C₁₉	—	2	1	no	—
707	C₂³×C₁₉	—	2	1	no	—
708	C₂³×C₁₉	—	4	2	no	—
709	C₂³×C₁₉	—	4	2	no	—
710	C₂³×C₁₉	—	8	1	no	—
711	C₂³×C₁₉	—	8	1	no	—
712	C₂³×C₁₉	—	8	1	no	—
713	C₂³×C₁₉	—	8	1	no	—
714	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
715	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
716	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
717	Q₈×C₁₉	—	2	1	no	—
718	Q₈×C₁₉	—	2	1	no	—
719	Q₈×C₁₉	—	2	1	no	—
720	Q₈×C₁₉	—	2	1	no	—
721	Q₈×C₁₉	—	2	1	no	—
722	Q₈×C₁₉	—	2	1	no	—
723	Q₈×C₁₉	—	2	1	no	—
724	Q₈×C₁₉	—	2	1	no	—
725	Q₈×C₁₉	—	2	1	no	—
726	Q₈×C₁₉	—	2	1	no	—
727	Q₈×C₁₉	—	2	1	no	—
728	Q₈×C₁₉	—	2	1	no	—
729	Q₈×C₁₉	—	4	1	no	—
730	Q₈×C₁₉	—	8	1	no	—
731	Q₈×C₁₉	—	8	1	no	—
732	Q₈×C₁₉	—	8	1	no	—
733	Q₈×C₁₉	—	8	1	no	—
734	Q₈×C₁₉	—	8	1	no	—
735	D₄×C₁₉	—	2	1	no	—
736	D₄×C₁₉	—	2	1	no	—
737	D₄×C₁₉	—	2	1	no	—
738	D₄×C₁₉	—	2	1	no	—
739	D₄×C₁₉	—	2	1	no	—
740	D₄×C₁₉	—	2	1	no	—
741	D₄×C₁₉	—	2	1	no	—
742	D₄×C₁₉	—	4	1	no	—
743	D₄×C₁₉	—	4	1	no	—
744	D₄×C₁₉	—	4	1	no	—
745	D₄×C₁₉	—	4	2	no	—
746	D₄×C₁₉	—	4	2	no	—
747	D₄×C₁₉	—	4	2	no	—
748	D₄×C₁₉	—	8	1	no	—
749	D₄×C₁₉	—	8	1	no	—
750	D₄×C₁₉	—	8	1	no	—
751	D₄×C₁₉	—	8	1	no	—
752	D₄×C₁₉	—	8	1	no	—
753	D₄×C₁₉	—	8	1	no	—
754	D₄×C₁₉	—	8	1	no	—
755	D₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
756	C₂×C₄×C₁₉	—	2	1	no	—
757	C₂×C₄×C₁₉	—	2	1	no	—
758	C₂×C₄×C₁₉	—	2	1	no	—
759	C₂×C₄×C₁₉	—	2	1	no	—
760	C₂×C₄×C₁₉	—	2	1	no	—
761	C₂×C₄×C₁₉	—	2	1	no	—
762	C₂×C₄×C₁₉	—	2	1	no	—
763	C₂×C₄×C₁₉	—	2	1	no	—
764	C₂×C₄×C₁₉	—	2	1	no	—
765	C₂×C₄×C₁₉	—	2	1	no	—
766	C₂×C₄×C₁₉	—	2	1	no	—
767	C₂×C₄×C₁₉	—	2	1	no	—
768	C₂×C₄×C₁₉	—	2	1	no	—
769	C₂×C₄×C₁₉	—	2	1	no	—
770	C₂×C₄×C₁₉	—	2	1	no	—
771	C₂×C₄×C₁₉	—	2	1	no	—
772	C₂×C₄×C₁₉	—	2	1	no	—
773	C₂×C₄×C₁₉	—	2	1	no	—
774	C₂×C₄×C₁₉	—	4	1	no	—
775	C₂×C₄×C₁₉	—	4	1	no	—
776	C₂×C₄×C₁₉	—	4	2	no	—
777	C₂×C₄×C₁₉	—	4	2	no	—
778	C₂×C₄×C₁₉	—	8	1	no	—
779	C₂×C₄×C₁₉	—	8	1	no	—
780	C₂×C₄×C₁₉	—	8	1	no	—
781	C₂×C₄×C₁₉	—	8	1	no	—
782	C₂×C₄×C₁₉	—	8	1	no	—
783	C₂×C₄×C₁₉	—	8	1	no	—
784	C₂×C₄×C₁₉	—	8	1	no	—
785	C₂×C₄×C₁₉	—	8	1	no	—
786	C₂×C₄×C₁₉	—	8	1	no	—
787	C₂×C₄×C₁₉	—	8	1	no	—
788	C₂×C₄×C₁₉	—	8	1	no	—
789	C₂×C₄×C₁₉	—	8	1	no	—
790	C₂×C₄×C₁₉	—	8	1	no	—
791	C₂×C₄×C₁₉	—	8	1	no	—
792	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
804	C₈×C₁₉	—	2	1	no	—
805	C₈×C₁₉	—	2	1	no	—
806	C₈×C₁₉	—	2	1	no	—
807	C₈×C₁₉	—	2	1	no	—
808	C₈×C₁₉	—	2	1	no	—
809	C₈×C₁₉	—	2	1	no	—
810	C₈×C₁₉	—	2	1	no	—
811	C₈×C₁₉	—	2	1	no	—
812	#3561	C₂×C₁₉	1	1	yes	characteristic, complemented
813	#3521	C₂×C₁₉	1	1	yes	characteristic, complemented
814	#3402	C₂×C₁₉	1	1	yes	characteristic, complemented
815	#3393	C₂×C₁₉	1	1	yes	characteristic, complemented
816	#3376	C₂×C₁₉	1	1	yes	characteristic, complemented
817	#3360	C₂×C₁₉	1	1	yes	characteristic, complemented
818	#3328	C₂×C₁₉	1	1	yes	characteristic, complemented
819	#3327	C₂×C₁₉	1	1	yes	characteristic, complemented
820	#3322	C₂×C₁₉	1	1	yes	characteristic, complemented
821	#3320	C₂×C₁₉	1	1	yes	characteristic, complemented
822	#3311	C₂×C₁₉	1	1	yes	characteristic, complemented
823	#3300	C₂×C₁₉	1	1	yes	characteristic, complemented
824	#3282	C₂×C₁₉	1	1	yes	characteristic, complemented
825	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
826	#3275	C₂×C₁₉	1	1	yes	characteristic, complemented
827	#3273	C₂×C₁₉	1	1	yes	characteristic, complemented
828	#3267	C₂×C₁₉	1	1	yes	characteristic, complemented
829	#3266	C₂×C₁₉	1	1	yes	characteristic, complemented
830	#3263	C₂×C₁₉	1	1	yes	characteristic, complemented
831	#3258	C₂×C₁₉	1	1	yes	characteristic, complemented
832	#3252	C₂×C₁₉	1	1	yes	characteristic, complemented
833	#3225	C₂×C₁₉	1	1	yes	characteristic, complemented
834	#3223	C₂×C₁₉	1	1	yes	characteristic, complemented
835	#3211	C₂×C₁₉	1	1	yes	characteristic, complemented
836	#3124	C₂×C₁₉	1	1	yes	characteristic, complemented
837	#3118	C₂×C₁₉	1	1	yes	characteristic, complemented
838	#3107	C₂×C₁₉	1	1	yes	characteristic, complemented
839	#3046	C₂×C₁₉	1	1	yes	characteristic, complemented
840	#3042	C₂×C₁₉	1	1	yes	characteristic, complemented
841	#3040	C₂×C₁₉	1	1	yes	characteristic, complemented
842	#2993	C₂×C₁₉	1	1	yes	characteristic, complemented
843	C₂²×C₁₉	—	2	1	no	—
844	C₂²×C₁₉	—	2	1	no	—
845	C₂²×C₁₉	—	2	1	no	—
846	C₂²×C₁₉	—	2	1	no	—
847	C₂²×C₁₉	—	2	1	no	—
848	C₂²×C₁₉	—	2	1	no	—
849	C₂²×C₁₉	—	2	1	no	—
850	C₂²×C₁₉	—	2	1	no	—
851	C₂²×C₁₉	—	2	1	no	—
852	C₂²×C₁₉	—	2	2	no	—
853	C₂²×C₁₉	—	4	1	no	—
854	C₂²×C₁₉	—	4	1	no	—
855	C₂²×C₁₉	—	4	1	no	—
856	C₂²×C₁₉	—	4	1	no	—
857	C₂²×C₁₉	—	4	1	no	—
858	C₂²×C₁₉	—	4	1	no	—
859	C₂²×C₁₉	—	4	1	no	—
860	C₂²×C₁₉	—	4	1	no	—
861	C₂²×C₁₉	—	4	1	no	—
862	C₂²×C₁₉	—	4	1	no	—
863	C₂²×C₁₉	—	4	1	no	—
864	C₂²×C₁₉	—	16	2	no	—
865	C₂²×C₁₉	—	16	2	no	—
866	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
867	C₄×C₁₉	—	2	1	no	—
868	C₄×C₁₉	—	2	1	no	—
869	C₄×C₁₉	—	2	1	no	—
870	C₄×C₁₉	—	2	1	no	—
871	C₄×C₁₉	—	2	1	no	—
872	C₄×C₁₉	—	2	1	no	—
873	C₄×C₁₉	—	2	1	no	—
874	C₄×C₁₉	—	2	1	no	—
875	C₄×C₁₉	—	2	1	no	—
876	C₄×C₁₉	—	2	1	no	—
877	C₄×C₁₉	—	2	1	no	—
878	C₄×C₁₉	—	4	1	no	—
879	C₄×C₁₉	—	4	1	no	—
880	C₄×C₁₉	—	4	1	no	—
881	C₄×C₁₉	—	4	1	no	—
882	C₄×C₁₉	—	4	1	no	—
883	C₄×C₁₉	—	4	1	no	—
884	C₄×C₁₉	—	4	1	no	—
885	C₄×C₁₉	—	4	1	no	—
886	C₄×C₁₉	—	4	1	no	—
887	C₄×C₁₉	—	4	1	no	—
888	C₄×C₁₉	—	4	1	no	—
889	C₄×C₁₉	—	4	1	no	—
890	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
891	C₄×C₁₉	#585	1	1	yes	characteristic
892	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic
893	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
894	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
895	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
896	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
897	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
898	#563	—	2	1	no	—
899	#562	—	2	1	no	—
900	#556	C₂²×C₁₉	1	1	yes	characteristic
901	#556	C₂²×C₁₉	1	1	yes	characteristic, complemented
902	#556	C₂²×C₁₉	1	1	yes	characteristic, complemented
903	#556	C₂²×C₁₉	1	1	yes	characteristic, complemented
904	#554	C₂²×C₁₉	1	1	yes	characteristic, complemented
905	#553	—	2	1	no	—
906	#553	C₂²×C₁₉	1	1	yes	characteristic
907	#552	—	2	1	no	—
908	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
909	#551	—	2	1	no	—
910	#551	—	2	1	no	—
911	#551	—	2	1	no	—
912	#551	—	2	1	no	—
913	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
914	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
915	#548	C₂²×C₁₉	1	1	yes	characteristic
916	#548	C₂²×C₁₉	1	1	yes	characteristic
917	#547	C₂²×C₁₉	1	1	yes	characteristic
918	#546	C₂²×C₁₉	1	1	yes	characteristic
919	#546	C₂²×C₁₉	1	1	yes	characteristic
920	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
921	#546	C₂²×C₁₉	1	1	yes	characteristic, complemented
922	#543	—	2	1	no	—
923	#542	—	2	1	no	—
924	#542	—	2	1	no	—
925	#542	C₂²×C₁₉	1	1	yes	characteristic
926	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
927	#542	C₂²×C₁₉	1	1	yes	characteristic, complemented
928	#541	C₂²×C₁₉	1	1	yes	characteristic, complemented
929	#539	—	2	1	no	—
930	#538	—	2	1	no	—
931	#538	—	2	1	no	—
932	#536	C₂²×C₁₉	1	1	yes	characteristic
933	#536	C₂²×C₁₉	1	1	yes	characteristic, complemented
934	#533	C₂²×C₁₉	1	1	yes	characteristic, complemented
935	#529	—	2	1	no	—
936	#529	C₂²×C₁₉	1	1	yes	characteristic
937	#529	C₂²×C₁₉	1	1	yes	characteristic
938	C₂×#126	—	2	1	no	—
939	C₂×#124	C₂²×C₁₉	1	1	yes	characteristic, complemented
940	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
941	#518	C₂²×C₁₉	1	1	yes	characteristic, complemented
942	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
943	#497	C₂²×C₁₉	1	1	yes	characteristic, complemented
944	#497	C₂²×C₁₉	1	1	yes	characteristic, complemented
945	#495	C₂²×C₁₉	1	1	yes	characteristic
946	#495	C₂²×C₁₉	1	1	yes	characteristic
947	#495	C₂²×C₁₉	1	1	yes	characteristic
948	#494	C₂²×C₁₉	1	1	yes	characteristic, complemented
949	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
950	#489	C₂²×C₁₉	1	1	yes	characteristic, complemented
951	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
952	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
953	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
954	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
955	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
956	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
957	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
958	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
959	#482	C₂²×C₁₉	1	1	yes	characteristic
960	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
961	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
962	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
963	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
964	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
965	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
966	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
967	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
968	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
969	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
970	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
971	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
972	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
973	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
974	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
975	#469	C₂²×C₁₉	1	1	yes	characteristic
976	#468	C₂²×C₁₉	1	1	yes	characteristic
977	#468	C₂²×C₁₉	1	1	yes	characteristic
978	#468	C₂²×C₁₉	1	1	yes	characteristic
979	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
980	#465	C₂²×C₁₉	1	1	yes	characteristic
981	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
982	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
983	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
984	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
985	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
986	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
987	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
988	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
989	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
990	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
991	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
992	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
993	#463	C₂²×C₁₉	1	1	yes	characteristic
994	#463	C₂²×C₁₉	1	1	yes	characteristic
995	#463	C₂²×C₁₉	1	1	yes	characteristic
996	#463	C₂²×C₁₉	1	1	yes	characteristic
997	#463	C₂²×C₁₉	1	1	yes	characteristic
998	#463	C₂²×C₁₉	1	1	yes	characteristic
999	#463	C₂²×C₁₉	1	1	yes	characteristic
1000	#463	C₂²×C₁₉	1	1	yes	characteristic
1001	#463	C₂²×C₁₉	1	1	yes	characteristic
1002	#463	C₂²×C₁₉	1	1	yes	characteristic
1003	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1004	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1005	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1006	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
1007	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1008	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1009	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1010	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1011	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1012	#461	C₂²×C₁₉	1	1	yes	characteristic, complemented
1013	#452	C₂²×C₁₉	1	1	yes	characteristic
1014	#452	C₂²×C₁₉	1	1	yes	characteristic
1015	#452	C₂²×C₁₉	1	1	yes	characteristic
1016	#452	C₂²×C₁₉	1	1	yes	characteristic
1017	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1018	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1019	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1020	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1021	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1022	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
1023	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1024	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1025	#449	C₂²×C₁₉	1	1	yes	characteristic
1026	#449	C₂²×C₁₉	1	1	yes	characteristic
1027	#448	C₂²×C₁₉	1	1	yes	characteristic
1028	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
1029	#447	C₂²×C₁₉	1	1	yes	characteristic
1030	#447	C₂²×C₁₉	1	1	yes	characteristic
1031	#446	C₂²×C₁₉	1	1	yes	characteristic, complemented
1032	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1033	#442	C₂²×C₁₉	1	1	yes	characteristic
1034	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1036	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1037	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1038	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1039	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1041	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1042	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1043	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
1044	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
1045	#436	C₂²×C₁₉	1	1	yes	characteristic
1046	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1047	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1048	#435	C₂²×C₁₉	1	1	yes	characteristic
1049	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1050	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1051	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1052	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1053	#431	C₂²×C₁₉	1	1	yes	characteristic, complemented
1054	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
1055	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
1056	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
1057	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1058	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
1059	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
1060	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1061	#416	C₂²×C₁₉	1	1	yes	characteristic
1062	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
1063	C₂×C₁₉	—	4	1	no	—
1064	C₂×C₁₉	—	4	1	no	—
1065	C₂×C₁₉	—	4	1	no	—
1066	C₂×C₁₉	—	4	2	no	—
1067	C₂×C₁₉	—	8	1	no	—
1068	C₂×C₁₉	—	8	1	no	—
1069	C₂×C₁₉	—	8	1	no	—
1070	C₂×C₁₉	#3488	1	1	yes	characteristic
1071	C₂×C₁₉	#3584	1	1	yes	characteristic
1072	C₂×C₁₉	#3586	1	1	yes	characteristic
1073	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1074	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1075	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1076	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1077	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1078	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1079	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1080	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1081	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1082	#137	—	4	2	no	—
1083	#137	—	4	2	no	—
1084	AGL(1,ℤ/8)	—	4	2	no	—
1085	AGL(1,ℤ/8)	—	4	2	no	—
1086	#135	—	4	2	no	—
1087	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1090	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1091	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1092	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1093	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1094	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1095	C₂×SD₁₆	—	4	2	no	—
1096	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1100	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1102	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1103	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1104	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1105	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1108	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1109	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1110	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1111	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1112	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1113	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1114	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1115	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1116	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1117	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1118	C₄⋊Q₈	—	2	1	no	—
1119	C₄⋊Q₈	—	2	1	no	—
1120	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1121	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1122	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1123	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1124	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1125	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	—	2	1	no	—
1133	#126	—	2	1	no	—
1134	#126	—	2	1	no	—
1135	#126	—	2	1	no	—
1136	#126	—	2	1	no	—
1137	#126	—	2	1	no	—
1138	#126	—	2	1	no	—
1139	#126	—	2	1	no	—
1140	#126	—	2	1	no	—
1141	#126	—	2	1	no	—
1142	#126	D₄×C₁₉	1	1	yes	characteristic
1143	#126	D₄×C₁₉	1	1	yes	characteristic
1144	#125	—	2	1	no	—
1145	#125	—	2	1	no	—
1146	#125	—	2	1	no	—
1147	#125	—	2	1	no	—
1148	#125	D₄×C₁₉	1	1	yes	characteristic
1149	#125	C₂³×C₁₉	1	1	yes	characteristic
1150	#125	C₂³×C₁₉	1	1	yes	characteristic
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	2	1	no	—
1154	#124	—	2	1	no	—
1155	#124	—	2	1	no	—
1156	#124	—	2	1	no	—
1157	#124	—	2	1	no	—
1158	#124	—	2	1	no	—
1159	#124	D₄×C₁₉	1	1	yes	characteristic
1160	#124	C₂³×C₁₉	1	1	yes	characteristic
1161	#124	C₂³×C₁₉	1	1	yes	characteristic
1162	#124	C₂³×C₁₉	1	1	yes	characteristic
1163	#124	C₂³×C₁₉	1	1	yes	characteristic
1164	#124	C₂³×C₁₉	1	1	yes	characteristic
1165	#124	C₂³×C₁₉	1	1	yes	characteristic
1166	#124	C₂³×C₁₉	1	1	yes	characteristic
1167	#124	C₂³×C₁₉	1	1	yes	characteristic
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	—	2	1	no	—
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	2	1	no	—
1184	#123	D₄×C₁₉	1	1	yes	characteristic
1185	#123	D₄×C₁₉	1	1	yes	characteristic
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	—	2	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	2	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1209	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1211	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1212	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1213	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	D₄×C₁₉	1	1	yes	characteristic
1224	#121	C₂³×C₁₉	1	1	yes	characteristic
1225	#121	C₂³×C₁₉	1	1	yes	characteristic
1226	#121	C₂³×C₁₉	1	1	yes	characteristic
1227	#121	C₂³×C₁₉	1	1	yes	characteristic
1228	#120	—	2	1	no	—
1229	#120	—	2	1	no	—
1230	#120	—	2	1	no	—
1231	#120	—	2	1	no	—
1232	C₄×Q₈	—	2	1	no	—
1233	C₄×Q₈	—	2	1	no	—
1234	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1235	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1236	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1237	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1238	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1239	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1240	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	2	1	no	—
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1261	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1262	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1263	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1264	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1265	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1266	#117	—	2	1	no	—
1267	#117	—	2	1	no	—
1268	#117	—	2	1	no	—
1269	#117	—	2	1	no	—
1270	#117	—	2	1	no	—
1271	#117	—	2	1	no	—
1272	#117	—	2	1	no	—
1273	#117	—	2	1	no	—
1274	#117	C₂³×C₁₉	1	1	yes	characteristic
1275	#117	C₂³×C₁₉	1	1	yes	characteristic
1276	#117	C₂³×C₁₉	1	1	yes	characteristic
1277	#117	C₂³×C₁₉	1	1	yes	characteristic
1278	C₂×C₄⋊C₄	—	2	1	no	—
1279	C₂×C₄⋊C₄	—	2	1	no	—
1280	C₂×C₄⋊C₄	—	2	1	no	—
1281	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	—	2	1	no	—
1283	C₂×C₂²⋊C₄	—	2	1	no	—
1284	C₂×C₂²⋊C₄	—	2	1	no	—
1285	C₂×C₂²⋊C₄	—	2	1	no	—
1286	C₂×C₂²⋊C₄	—	2	1	no	—
1287	C₂×C₂²⋊C₄	—	2	1	no	—
1288	C₂×C₂²⋊C₄	—	2	1	no	—
1289	C₂×C₂²⋊C₄	—	2	1	no	—
1290	C₂×C₄²	—	2	1	no	—
1291	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1292	#107	C₂³×C₁₉	1	1	yes	characteristic
1293	#107	C₂³×C₁₉	1	1	yes	characteristic
1294	#107	C₂³×C₁₉	1	1	yes	characteristic
1295	#107	C₂³×C₁₉	1	1	yes	characteristic
1296	#106	C₂³×C₁₉	1	1	yes	characteristic
1297	#106	C₂³×C₁₉	1	1	yes	characteristic
1298	#106	C₂³×C₁₉	1	1	yes	characteristic
1299	#106	C₂³×C₁₉	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1302	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1303	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1304	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1305	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1306	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1307	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1308	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1309	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1310	#103	C₂³×C₁₉	1	1	yes	characteristic
1311	#103	C₂³×C₁₉	1	1	yes	characteristic
1312	#103	C₂³×C₁₉	1	1	yes	characteristic
1313	#103	C₂³×C₁₉	1	1	yes	characteristic
1314	#103	C₂³×C₁₉	1	1	yes	characteristic
1315	#103	C₂³×C₁₉	1	1	yes	characteristic
1316	#103	C₂³×C₁₉	1	1	yes	characteristic
1317	#103	C₂³×C₁₉	1	1	yes	characteristic
1318	#103	C₂³×C₁₉	1	1	yes	characteristic
1319	#103	C₂³×C₁₉	1	1	yes	characteristic
1320	#103	C₂³×C₁₉	1	1	yes	characteristic
1321	#103	C₂³×C₁₉	1	1	yes	characteristic
1322	#103	C₂³×C₁₉	1	1	yes	characteristic
1323	#103	C₂³×C₁₉	1	1	yes	characteristic
1324	#103	C₂³×C₁₉	1	1	yes	characteristic
1325	#103	C₂³×C₁₉	1	1	yes	characteristic
1326	#103	C₂³×C₁₉	1	1	yes	characteristic
1327	#103	C₂³×C₁₉	1	1	yes	characteristic
1328	#103	C₂³×C₁₉	1	1	yes	characteristic
1329	#103	C₂³×C₁₉	1	1	yes	characteristic
1330	#102	C₂³×C₁₉	1	1	yes	characteristic
1331	#102	C₂³×C₁₉	1	1	yes	characteristic
1332	#102	C₂³×C₁₉	1	1	yes	characteristic
1333	#102	C₂³×C₁₉	1	1	yes	characteristic
1334	#102	C₂³×C₁₉	1	1	yes	characteristic
1335	#102	C₂³×C₁₉	1	1	yes	characteristic
1336	#102	C₂³×C₁₉	1	1	yes	characteristic
1337	#102	C₂³×C₁₉	1	1	yes	characteristic
1338	#102	C₂³×C₁₉	1	1	yes	characteristic
1339	#102	C₂³×C₁₉	1	1	yes	characteristic
1340	#102	C₂³×C₁₉	1	1	yes	characteristic
1341	#102	C₂³×C₁₉	1	1	yes	characteristic
1342	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1343	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1344	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1345	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1347	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1348	#97	C₂³×C₁₉	1	1	yes	characteristic
1349	#97	C₂³×C₁₉	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1351	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1352	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1353	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
1354	C₁₉	#62048	1	1	yes	characteristic, direct product factor, Sylow
1355	C₂⁴	—	2	1	no	—
1356	C₂⁴	—	2	1	no	—
1357	#41	—	2	2	no	—
1358	#41	—	2	2	no	—
1359	#41	—	4	1	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	4	1	no	—
1364	#41	—	4	1	no	—
1365	C₂×Q₈	—	2	1	no	—
1366	C₂×Q₈	—	2	1	no	—
1367	C₂×Q₈	—	2	1	no	—
1368	C₂×Q₈	—	2	1	no	—
1369	C₂×Q₈	—	2	1	no	—
1370	C₂×Q₈	—	4	1	no	—
1371	C₂×Q₈	—	4	1	no	—
1372	C₂×Q₈	—	4	1	no	—
1373	C₂×Q₈	—	4	1	no	—
1374	C₂×Q₈	—	4	1	no	—
1375	C₂×Q₈	—	4	1	no	—
1376	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1379	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1380	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1381	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1382	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1383	C₂×D₄	—	2	2	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1398	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1399	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1400	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1401	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1402	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1403	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1421	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1422	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1423	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1424	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1425	Q₁₆	—	4	1	no	—
1426	Q₁₆	—	4	1	no	—
1427	Q₁₆	—	4	1	no	—
1428	Q₁₆	—	4	1	no	—
1429	Q₁₆	—	4	1	no	—
1430	Q₁₆	—	4	1	no	—
1431	Q₁₆	—	4	1	no	—
1432	Q₁₆	—	4	1	no	—
1433	SD₁₆	—	2	2	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	2	2	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	—	4	1	no	—
1443	SD₁₆	—	4	1	no	—
1444	SD₁₆	—	4	1	no	—
1445	D₈	—	2	2	no	—
1446	D₈	—	2	2	no	—
1447	D₈	—	4	1	no	—
1448	D₈	—	4	1	no	—
1449	M₁₆	—	4	1	no	—
1450	M₁₆	—	4	1	no	—
1451	M₁₆	—	4	1	no	—
1452	M₁₆	—	4	1	no	—
1453	C₂×C₈	—	4	1	no	—
1454	C₂×C₈	—	4	1	no	—
1455	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1459	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1460	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1461	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1462	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1501	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1502	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1503	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1507	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1508	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1549	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	2	1	no	—
1566	C₄²	—	2	1	no	—
1567	C₄²	—	2	1	no	—
1568	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1569	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1570	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1571	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1572	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1573	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	2	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	4	2	no	—
1579	C₂³	—	4	2	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	—	8	1	no	—
1582	C₂³	—	8	1	no	—
1583	C₂³	—	8	1	no	—
1584	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1585	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1586	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	2	1	no	—
1590	Q₈	—	2	1	no	—
1591	Q₈	—	2	1	no	—
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	4	1	no	—
1600	Q₈	—	8	1	no	—
1601	Q₈	—	8	1	no	—
1602	Q₈	—	8	1	no	—
1603	Q₈	—	8	1	no	—
1604	Q₈	—	8	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	2	1	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	4	1	no	—
1613	D₄	—	4	1	no	—
1614	D₄	—	4	1	no	—
1615	D₄	—	4	2	no	—
1616	D₄	—	4	2	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	4	1	no	—
1645	C₂×C₄	—	4	1	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	8	1	no	—
1662	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1671	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1672	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1673	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	—	2	1	no	—
1680	C₈	—	2	1	no	—
1681	C₈	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	2	1	no	—
1690	C₂²	—	2	1	no	—
1691	C₂²	—	2	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	16	2	no	—
1704	C₂²	—	16	2	no	—
1705	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1730	C₄	C₁₉×#585	1	1	yes	characteristic
1731	C₂	—	4	1	no	—
1732	C₂	—	4	1	no	—
1733	C₂	—	4	1	no	—
1734	C₂	—	4	2	no	—
1735	C₂	—	8	1	no	—
1736	C₂	—	8	1	no	—
1737	C₂	—	8	1	no	—
1738	C₂	C₁₉×#3488	1	1	yes	characteristic
1739	C₂	C₁₉×#3584	1	1	yes	characteristic
1740	C₂	C₁₉×#3586	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×#3561	C₂	semidirect
2. C₁₉×#3521	C₂	semidirect
3. C₁₉×#3402	C₂	semidirect
4. C₁₉×#3393	C₂	semidirect
5. C₁₉×#3376	C₂	semidirect
6. C₁₉×#3360	C₂	semidirect
7. C₁₉×#3328	C₂	semidirect
8. C₁₉×#3327	C₂	semidirect
9. C₁₉×#3322	C₂	semidirect
10. C₁₉×#3320	C₂	semidirect
11. C₁₉×#3311	C₂	semidirect
12. C₁₉×#3300	C₂	semidirect
13. C₁₉×#3282	C₂	semidirect
14. C₁₉×#3276	C₂	semidirect
15. C₁₉×#3275	C₂	semidirect
16. C₁₉×#3273	C₂	semidirect
17. C₁₉×#3267	C₂	semidirect
18. C₁₉×#3266	C₂	semidirect
19. C₁₉×#3263	C₂	semidirect
20. C₁₉×#3258	C₂	semidirect
21. C₁₉×#3252	C₂	semidirect
22. C₁₉×#3225	C₂	semidirect
23. C₁₉×#3223	C₂	semidirect
24. C₁₉×#3211	C₂	semidirect
25. C₁₉×#3124	C₂	semidirect
26. C₁₉×#3118	C₂	semidirect
27. C₁₉×#3107	C₂	semidirect
28. C₁₉×#3046	C₂	semidirect
29. C₁₉×#3042	C₂	semidirect
30. C₁₉×#3040	C₂	semidirect
31. C₁₉×#2993	C₂	semidirect
33. C₂×C₁₉×#137	C₂²	semidirect
37. C₂²×SD₁₆×C₁₉	C₂²	semidirect
41. C₁₉×#556	C₂²	semidirect
42. C₁₉×#556	C₂²	semidirect
43. C₁₉×#556	C₂²	semidirect
44. C₁₉×#554	C₂²	semidirect
48. C₁₉×#552	C₂²	semidirect
54. D₄×Q₈×C₁₉	C₂²	semidirect
60. C₁₉×#546	C₂²	semidirect
61. C₁₉×#546	C₂²	semidirect
66. C₁₉×#542	C₂²	semidirect
67. C₁₉×#542	C₂²	semidirect
68. C₁₉×#541	C₂²	semidirect
73. C₁₉×#536	C₂²	semidirect
74. C₁₉×#533	C₂²	semidirect
79. C₂×C₁₉×#124	C₂²	semidirect
80. C₁₉×#520	C₂²	semidirect
81. C₁₉×#518	C₂²	semidirect
83. C₁₉×#497	C₂²	semidirect
84. C₁₉×#497	C₂²	semidirect
88. C₁₉×#494	C₂²	semidirect
89. C₁₉×#491	C₂²	semidirect
90. C₁₉×#489	C₂²	semidirect
91. C₁₉×#488	C₂²	semidirect
92. C₁₉×#488	C₂²	semidirect
93. C₁₉×#488	C₂²	semidirect
94. C₁₉×#487	C₂²	semidirect
95. C₁₉×#485	C₂²	semidirect
96. C₁₉×#485	C₂²	semidirect
97. C₁₉×#485	C₂²	semidirect
98. C₁₉×#484	C₂²	semidirect
100. C₁₉×#480	C₂²	semidirect
101. C₁₉×#479	C₂²	semidirect
102. C₁₉×#479	C₂²	semidirect
103. C₁₉×#479	C₂²	semidirect
104. C₁₉×#478	C₂²	semidirect
105. C₁₉×#477	C₂²	semidirect
106. C₁₉×#476	C₂²	semidirect
107. C₁₉×#476	C₂²	semidirect
108. C₁₉×#475	C₂²	semidirect
109. C₁₉×#475	C₂²	semidirect
110. C₁₉×#474	C₂²	semidirect
111. C₁₉×#470	C₂²	semidirect
112. C₁₉×#470	C₂²	semidirect
113. C₁₉×#470	C₂²	semidirect
114. C₁₉×#470	C₂²	semidirect
119. C₁₉×#467	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×#464	C₂²	semidirect
128. C₁₉×#464	C₂²	semidirect
129. C₁₉×#464	C₂²	semidirect
130. C₁₉×#464	C₂²	semidirect
131. C₁₉×#464	C₂²	semidirect
132. C₁₉×#464	C₂²	semidirect
143. C₁₉×#462	C₂²	semidirect
144. C₁₉×#462	C₂²	semidirect
145. C₁₉×#462	C₂²	semidirect
146. C₁₉×#462	C₂²	semidirect
147. C₁₉×#461	C₂²	semidirect
148. C₁₉×#461	C₂²	semidirect
149. C₁₉×#461	C₂²	semidirect
150. C₁₉×#461	C₂²	semidirect
151. C₁₉×#461	C₂²	semidirect
152. C₁₉×#461	C₂²	semidirect
157. C₁₉×#452	C₂²	semidirect
158. C₁₉×#452	C₂²	semidirect
159. C₁₉×#451	C₂²	semidirect
160. C₁₉×#451	C₂²	semidirect
161. C₁₉×#451	C₂²	semidirect
162. C₁₉×#451	C₂²	semidirect
163. C₁₉×#450	C₂²	semidirect
164. C₁₉×#450	C₂²	semidirect
168. C₁₉×#448	C₂²	semidirect
171. C₁₉×#446	C₂²	semidirect
172. C₈×Q₈×C₁₉	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×Q₁₆×C₁₉	C₂²	semidirect
179. C₄×Q₁₆×C₁₉	C₂²	semidirect
180. C₄×SD₁₆×C₁₉	C₂²	semidirect
181. C₄×SD₁₆×C₁₉	C₂²	semidirect
182. C₄×SD₁₆×C₁₉	C₂²	semidirect
186. C₁₉×#436	C₂²	semidirect
187. C₁₉×#436	C₂²	semidirect
189. C₁₉×#435	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. C₁₉×#423	C₂²	semidirect
197. C₁₉×#419	C₂²	semidirect
198. C₁₉×#419	C₂²	semidirect
199. C₁₉×#418	C₂²	semidirect
200. C₁₉×#417	C₂²	semidirect
202. C₂×C₁₉×#103	C₂²	semidirect
703. #62048	C₁₉	direct (N × H)
812. #3561	C₂×C₁₉	semidirect
813. #3521	C₂×C₁₉	semidirect
814. #3402	C₂×C₁₉	semidirect
815. #3393	C₂×C₁₉	semidirect
816. #3376	C₂×C₁₉	semidirect
817. #3360	C₂×C₁₉	semidirect
818. #3328	C₂×C₁₉	semidirect
819. #3327	C₂×C₁₉	semidirect
820. #3322	C₂×C₁₉	semidirect
821. #3320	C₂×C₁₉	semidirect
822. #3311	C₂×C₁₉	semidirect
823. #3300	C₂×C₁₉	semidirect
824. #3282	C₂×C₁₉	semidirect
825. #3276	C₂×C₁₉	semidirect
826. #3275	C₂×C₁₉	semidirect
827. #3273	C₂×C₁₉	semidirect
828. #3267	C₂×C₁₉	semidirect
829. #3266	C₂×C₁₉	semidirect
830. #3263	C₂×C₁₉	semidirect
831. #3258	C₂×C₁₉	semidirect
832. #3252	C₂×C₁₉	semidirect
833. #3225	C₂×C₁₉	semidirect
834. #3223	C₂×C₁₉	semidirect
835. #3211	C₂×C₁₉	semidirect
836. #3124	C₂×C₁₉	semidirect
837. #3118	C₂×C₁₉	semidirect
838. #3107	C₂×C₁₉	semidirect
839. #3046	C₂×C₁₉	semidirect
840. #3042	C₂×C₁₉	semidirect
841. #3040	C₂×C₁₉	semidirect
842. #2993	C₂×C₁₉	semidirect
893. C₂×#137	C₂²×C₁₉	semidirect
897. C₂²×SD₁₆	C₂²×C₁₉	semidirect
901. #556	C₂²×C₁₉	semidirect
902. #556	C₂²×C₁₉	semidirect
903. #556	C₂²×C₁₉	semidirect
904. #554	C₂²×C₁₉	semidirect
908. #552	C₂²×C₁₉	semidirect
914. D₄×Q₈	C₂²×C₁₉	semidirect
920. #546	C₂²×C₁₉	semidirect
921. #546	C₂²×C₁₉	semidirect
926. #542	C₂²×C₁₉	semidirect
927. #542	C₂²×C₁₉	semidirect
928. #541	C₂²×C₁₉	semidirect
933. #536	C₂²×C₁₉	semidirect
934. #533	C₂²×C₁₉	semidirect
939. C₂×#124	C₂²×C₁₉	semidirect
940. #520	C₂²×C₁₉	semidirect
941. #518	C₂²×C₁₉	semidirect
943. #497	C₂²×C₁₉	semidirect
944. #497	C₂²×C₁₉	semidirect
948. #494	C₂²×C₁₉	semidirect
949. #491	C₂²×C₁₉	semidirect
950. #489	C₂²×C₁₉	semidirect
951. #488	C₂²×C₁₉	semidirect
952. #488	C₂²×C₁₉	semidirect
953. #488	C₂²×C₁₉	semidirect
954. #487	C₂²×C₁₉	semidirect
955. #485	C₂²×C₁₉	semidirect
956. #485	C₂²×C₁₉	semidirect
957. #485	C₂²×C₁₉	semidirect
958. #484	C₂²×C₁₉	semidirect
960. #480	C₂²×C₁₉	semidirect
961. #479	C₂²×C₁₉	semidirect
962. #479	C₂²×C₁₉	semidirect
963. #479	C₂²×C₁₉	semidirect
964. #478	C₂²×C₁₉	semidirect
965. #477	C₂²×C₁₉	semidirect
966. #476	C₂²×C₁₉	semidirect
967. #476	C₂²×C₁₉	semidirect
968. #475	C₂²×C₁₉	semidirect
969. #475	C₂²×C₁₉	semidirect
970. #474	C₂²×C₁₉	semidirect
971. #470	C₂²×C₁₉	semidirect
972. #470	C₂²×C₁₉	semidirect
973. #470	C₂²×C₁₉	semidirect
974. #470	C₂²×C₁₉	semidirect
979. #467	C₂²×C₁₉	semidirect
981. #465	C₂²×C₁₉	semidirect
982. #465	C₂²×C₁₉	semidirect
983. #464	C₂²×C₁₉	semidirect
984. #464	C₂²×C₁₉	semidirect
985. #464	C₂²×C₁₉	semidirect
986. #464	C₂²×C₁₉	semidirect
987. #464	C₂²×C₁₉	semidirect
988. #464	C₂²×C₁₉	semidirect
989. #464	C₂²×C₁₉	semidirect
990. #464	C₂²×C₁₉	semidirect
991. #464	C₂²×C₁₉	semidirect
992. #464	C₂²×C₁₉	semidirect
1003. #462	C₂²×C₁₉	semidirect
1004. #462	C₂²×C₁₉	semidirect
1005. #462	C₂²×C₁₉	semidirect
1006. #462	C₂²×C₁₉	semidirect
1007. #461	C₂²×C₁₉	semidirect
1008. #461	C₂²×C₁₉	semidirect
1009. #461	C₂²×C₁₉	semidirect
1010. #461	C₂²×C₁₉	semidirect
1011. #461	C₂²×C₁₉	semidirect
1012. #461	C₂²×C₁₉	semidirect
1017. #452	C₂²×C₁₉	semidirect
1018. #452	C₂²×C₁₉	semidirect
1019. #451	C₂²×C₁₉	semidirect
1020. #451	C₂²×C₁₉	semidirect
1021. #451	C₂²×C₁₉	semidirect
1022. #451	C₂²×C₁₉	semidirect
1023. #450	C₂²×C₁₉	semidirect
1024. #450	C₂²×C₁₉	semidirect
1028. #448	C₂²×C₁₉	semidirect
1031. #446	C₂²×C₁₉	semidirect
1032. C₈×Q₈	C₂²×C₁₉	semidirect
1034. #440	C₂²×C₁₉	semidirect
1035. #440	C₂²×C₁₉	semidirect
1036. #440	C₂²×C₁₉	semidirect
1037. C₄×Q₁₆	C₂²×C₁₉	semidirect
1038. C₄×Q₁₆	C₂²×C₁₉	semidirect
1039. C₄×Q₁₆	C₂²×C₁₉	semidirect
1040. C₄×SD₁₆	C₂²×C₁₉	semidirect
1041. C₄×SD₁₆	C₂²×C₁₉	semidirect
1042. C₄×SD₁₆	C₂²×C₁₉	semidirect
1046. #436	C₂²×C₁₉	semidirect
1047. #436	C₂²×C₁₉	semidirect
1049. #435	C₂²×C₁₉	semidirect
1050. C₈×D₄	C₂²×C₁₉	semidirect
1051. #433	C₂²×C₁₉	semidirect
1052. #433	C₂²×C₁₉	semidirect
1053. #431	C₂²×C₁₉	semidirect
1054. #424	C₂²×C₁₉	semidirect
1055. #424	C₂²×C₁₉	semidirect
1056. #423	C₂²×C₁₉	semidirect
1057. #419	C₂²×C₁₉	semidirect
1058. #419	C₂²×C₁₉	semidirect
1059. #418	C₂²×C₁₉	semidirect
1060. #417	C₂²×C₁₉	semidirect
1062. C₂×#103	C₂²×C₁₉	semidirect
1354. C₁₉	#62048	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×#3561	2
C₁₉×#3521	2
C₁₉×#3402	2
C₁₉×#3393	2
C₁₉×#3376	2
C₁₉×#3360	2
C₁₉×#3328	2
C₁₉×#3327	2
C₁₉×#3322	2
C₁₉×#3320	2
C₁₉×#3311	2
C₁₉×#3300	2
C₁₉×#3282	2
C₁₉×#3276	2
C₁₉×#3275	2
C₁₉×#3273	2
C₁₉×#3267	2
C₁₉×#3266	2
C₁₉×#3263	2
C₁₉×#3258	2
C₁₉×#3252	2
C₁₉×#3225	2
C₁₉×#3223	2
C₁₉×#3211	2
C₁₉×#3124	2
C₁₉×#3118	2
C₁₉×#3107	2
C₁₉×#3046	2
C₁₉×#3042	2
C₁₉×#3040	2
C₁₉×#2993	2
#62048	19

Subgroups — C19×#62048 #18068007

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62048 #18068007