Subgroups — C₁₉×#61746 #18067705

Order 4864.

1798 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3492	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3354	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3351	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3348	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3345	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3345	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3335	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3332	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3318	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3314	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3295	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3241	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₉×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₉×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₉×#3099	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₉×#3096	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₉×#3092	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₉×#481	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₉×#562	—	2	1	no	—
33	C₁₉×#560	—	2	1	no	—
34	C₁₉×#555	C₂²	1	1	yes	characteristic
35	C₁₉×#554	—	2	1	no	—
36	C₁₉×#554	C₂²	1	1	yes	characteristic
37	C₁₉×#554	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#553	—	2	1	no	—
39	C₁₉×#553	C₂²	1	1	yes	characteristic
40	C₁₉×#553	C₂²	1	1	yes	characteristic
41	C₁₉×#553	C₂²	1	1	yes	characteristic, complemented
42	C₁₉×#552	—	2	1	no	—
43	C₁₉×#552	C₂²	1	1	yes	characteristic
44	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#552	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#551	—	2	1	no	—
47	C₁₉×#550	C₂²	1	1	yes	characteristic
48	C₁₉×#547	—	2	1	no	—
49	C₁₉×#547	C₂²	1	1	yes	characteristic
50	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#546	—	2	1	no	—
53	C₁₉×#546	C₂²	1	1	yes	characteristic
54	C₁₉×#546	C₂²	1	1	yes	characteristic
55	D₄²×C₁₉	C₂²	1	1	yes	characteristic
56	C₁₉×#544	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#542	C₂²	1	1	yes	characteristic
58	C₁₉×#540	—	2	1	no	—
59	C₁₉×#540	C₂²	1	1	yes	characteristic
60	C₁₉×#539	—	2	1	no	—
61	C₁₉×#539	—	2	1	no	—
62	C₁₉×#538	—	2	1	no	—
63	C₁₉×#537	C₂²	1	1	yes	characteristic
64	C₁₉×#537	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#535	—	2	1	no	—
66	C₁₉×#535	C₂²	1	1	yes	characteristic
67	C₁₉×#534	—	2	1	no	—
68	C₁₉×#525	—	2	1	no	—
69	C₁₉×#525	—	2	1	no	—
70	C₁₉×#525	C₂²	1	1	yes	characteristic
71	C₁₉×#525	C₂²	1	1	yes	characteristic
72	C₁₉×#525	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
74	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
76	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₉×#499	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#498	C₂²	1	1	yes	characteristic, complemented
81	C₁₉×#490	C₂²	1	1	yes	characteristic, complemented
82	C₁₉×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₉×#488	C₂²	1	1	yes	characteristic, complemented
84	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
85	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
86	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
88	C₁₉×#485	C₂²	1	1	yes	characteristic, complemented
89	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
90	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
91	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
92	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
93	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
94	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#483	C₂²	1	1	yes	characteristic, complemented
96	C₁₉×#482	C₂²	1	1	yes	characteristic
97	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
98	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
99	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
100	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
101	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
102	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#482	C₂²	1	1	yes	characteristic, complemented
104	C₁₉×#481	C₂²	1	1	yes	characteristic
105	C₁₉×#481	C₂²	1	1	yes	characteristic
106	C₁₉×#481	C₂²	1	1	yes	characteristic
107	C₁₉×#481	C₂²	1	1	yes	characteristic
108	C₁₉×#481	C₂²	1	1	yes	characteristic
109	C₁₉×#481	C₂²	1	1	yes	characteristic
110	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
112	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
115	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
117	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
118	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
119	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
120	C₁₉×#480	C₂²	1	1	yes	characteristic, complemented
121	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
122	C₁₉×#479	C₂²	1	1	yes	characteristic, complemented
123	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
124	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
125	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#478	C₂²	1	1	yes	characteristic, complemented
127	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
133	C₁₉×#470	C₂²	1	1	yes	characteristic, complemented
134	C₁₉×#469	C₂²	1	1	yes	characteristic
135	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
136	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
137	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
138	C₁₉×#468	C₂²	1	1	yes	characteristic
139	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
140	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
141	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
142	C₁₉×#466	C₂²	1	1	yes	characteristic
143	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
144	C₁₉×#465	C₂²	1	1	yes	characteristic
145	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
146	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
147	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
148	C₁₉×#465	C₂²	1	1	yes	characteristic, complemented
149	C₁₉×#464	C₂²	1	1	yes	characteristic, complemented
150	C₁₉×#463	C₂²	1	1	yes	characteristic, complemented
151	C₁₉×#460	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×#452	C₂²	1	1	yes	characteristic, complemented
156	C₁₉×#450	C₂²	1	1	yes	characteristic
157	C₁₉×#450	C₂²	1	1	yes	characteristic, complemented
158	C₁₉×#449	C₂²	1	1	yes	characteristic
159	C₁₉×#449	C₂²	1	1	yes	characteristic, complemented
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×#447	C₂²	1	1	yes	characteristic
164	C₁₉×#447	C₂²	1	1	yes	characteristic, complemented
165	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
166	C₁₉×#442	C₂²	1	1	yes	characteristic, complemented
167	C₁₉×#441	C₂²	1	1	yes	characteristic, complemented
168	C₁₉×#440	C₂²	1	1	yes	characteristic, complemented
169	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
170	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
171	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
172	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
173	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
174	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
175	C₁₉×#435	C₂²	1	1	yes	characteristic
176	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
177	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
178	C₁₉×#435	C₂²	1	1	yes	characteristic, complemented
179	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
180	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
181	C₁₉×#433	C₂²	1	1	yes	characteristic, complemented
182	C₁₉×#433	C₂²	1	1	yes	characteristic, complemented
183	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
184	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
185	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
186	C₁₉×#428	C₂²	1	1	yes	characteristic, complemented
187	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
191	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
192	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
193	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
194	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
195	C₁₉×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
197	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
198	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
199	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
200	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
201	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₁₉	—	2	1	no	—
204	C₂×#41×C₁₉	—	2	1	no	—
205	C₂×#41×C₁₉	—	2	1	no	—
206	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
207	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
208	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
209	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₉	—	2	1	no	—
215	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
216	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
221	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
226	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
232	C₁₉×C₄⋊Q₈	—	2	1	no	—
233	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₉×#127	—	2	1	no	—
237	C₁₉×#127	—	2	1	no	—
238	C₁₉×#127	C₂³	1	1	yes	characteristic
239	C₁₉×#126	—	2	1	no	—
240	C₁₉×#126	—	2	1	no	—
241	C₁₉×#126	—	2	1	no	—
242	C₁₉×#126	—	2	1	no	—
243	C₁₉×#126	—	2	1	no	—
244	C₁₉×#126	—	2	1	no	—
245	C₁₉×#126	—	2	1	no	—
246	C₁₉×#125	—	2	1	no	—
247	C₁₉×#125	—	2	1	no	—
248	C₁₉×#125	—	2	1	no	—
249	C₁₉×#125	—	2	1	no	—
250	C₁₉×#125	—	2	1	no	—
251	C₁₉×#125	—	2	1	no	—
252	C₁₉×#125	C₂³	1	1	yes	characteristic
253	C₁₉×#125	C₂³	1	1	yes	characteristic
254	C₁₉×#125	C₂³	1	1	yes	characteristic
255	C₁₉×#124	—	2	1	no	—
256	C₁₉×#124	—	2	1	no	—
257	C₁₉×#124	—	2	1	no	—
258	C₁₉×#124	—	2	1	no	—
259	C₁₉×#124	C₂³	1	1	yes	characteristic
260	C₁₉×#123	—	2	1	no	—
261	C₁₉×#123	—	2	1	no	—
262	C₁₉×#123	—	2	1	no	—
263	C₁₉×#123	—	2	1	no	—
264	C₁₉×#123	—	2	1	no	—
265	C₁₉×#123	—	2	1	no	—
266	C₁₉×#123	—	2	1	no	—
267	C₁₉×#123	—	2	1	no	—
268	C₁₉×#123	—	2	1	no	—
269	C₁₉×#123	—	2	1	no	—
270	C₁₉×#123	—	2	1	no	—
271	C₁₉×#123	—	2	1	no	—
272	C₁₉×#123	—	2	1	no	—
273	C₁₉×#123	—	2	1	no	—
274	C₁₉×#123	—	2	1	no	—
275	C₁₉×#123	—	2	1	no	—
276	C₁₉×#123	—	2	1	no	—
277	C₁₉×#123	—	2	1	no	—
278	C₁₉×#123	—	2	1	no	—
279	C₁₉×#123	D₄	1	1	yes	characteristic
280	C₁₉×#123	D₄	1	1	yes	characteristic
281	C₁₉×C₂²⋊Q₈	—	2	1	no	—
282	C₁₉×C₂²⋊Q₈	—	2	1	no	—
283	C₁₉×C₂²⋊Q₈	—	2	1	no	—
284	C₁₉×C₂²⋊Q₈	—	2	1	no	—
285	C₁₉×C₂²⋊Q₈	—	2	1	no	—
286	C₁₉×C₂²⋊Q₈	—	2	1	no	—
287	C₁₉×C₂²⋊Q₈	—	2	1	no	—
288	C₁₉×C₂²⋊Q₈	—	2	1	no	—
289	C₁₉×C₂²⋊Q₈	—	2	1	no	—
290	C₁₉×C₂²⋊Q₈	—	2	1	no	—
291	C₁₉×C₂²⋊Q₈	—	2	1	no	—
292	C₁₉×C₂²⋊Q₈	—	2	1	no	—
293	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
294	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
295	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
296	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
297	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
298	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
299	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
300	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
302	C₁₉×#121	—	2	1	no	—
303	C₁₉×#121	—	2	1	no	—
304	C₁₉×#121	—	2	1	no	—
305	C₁₉×#121	—	2	1	no	—
306	C₁₉×#121	—	2	1	no	—
307	C₁₉×#121	—	2	1	no	—
308	C₁₉×#121	—	2	1	no	—
309	C₁₉×#121	—	2	1	no	—
310	C₁₉×#121	—	2	1	no	—
311	C₁₉×#121	—	2	1	no	—
312	C₁₉×#121	—	2	1	no	—
313	C₁₉×#121	—	2	1	no	—
314	C₁₉×#121	—	2	1	no	—
315	C₁₉×#121	—	2	1	no	—
316	C₁₉×#121	—	2	1	no	—
317	C₁₉×#121	—	2	1	no	—
318	C₁₉×#121	—	2	1	no	—
319	C₁₉×#121	—	2	1	no	—
320	C₁₉×#121	—	2	1	no	—
321	C₁₉×#121	D₄	1	1	yes	characteristic
322	C₁₉×#121	D₄	1	1	yes	characteristic
323	C₁₉×#121	C₂³	1	1	yes	characteristic
324	C₁₉×#121	C₂³	1	1	yes	characteristic
325	C₁₉×#121	C₂³	1	1	yes	characteristic
326	C₁₉×#121	C₂³	1	1	yes	characteristic
327	C₁₉×#121	C₂³	1	1	yes	characteristic
328	C₁₉×#121	C₂³	1	1	yes	characteristic
329	C₁₉×#121	C₂³	1	1	yes	characteristic
330	C₁₉×#121	C₂³	1	1	yes	characteristic
331	C₁₉×#121	C₂³	1	1	yes	characteristic
332	C₁₉×#121	C₂³	1	1	yes	characteristic
333	C₁₉×#121	C₂³	1	1	yes	characteristic
334	C₁₉×#121	C₂³	1	1	yes	characteristic
335	C₁₉×#121	C₂³	1	1	yes	characteristic
336	C₁₉×#120	—	2	1	no	—
337	C₁₉×#120	—	2	1	no	—
338	C₁₉×#120	—	2	1	no	—
339	C₁₉×#120	—	2	1	no	—
340	C₁₉×#120	—	2	1	no	—
341	C₁₉×#120	—	2	1	no	—
342	C₁₉×#120	—	2	1	no	—
343	C₁₉×#120	—	2	1	no	—
344	C₁₉×#120	D₄	1	1	yes	characteristic
345	C₁₉×#120	D₄	1	1	yes	characteristic
346	C₄×Q₈×C₁₉	—	2	1	no	—
347	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
350	C₄×D₄×C₁₉	—	2	1	no	—
351	C₄×D₄×C₁₉	—	2	1	no	—
352	C₄×D₄×C₁₉	—	2	1	no	—
353	C₄×D₄×C₁₉	—	2	1	no	—
354	C₄×D₄×C₁₉	—	2	1	no	—
355	C₄×D₄×C₁₉	—	2	1	no	—
356	C₄×D₄×C₁₉	—	2	1	no	—
357	C₄×D₄×C₁₉	—	2	1	no	—
358	C₄×D₄×C₁₉	—	2	1	no	—
359	C₄×D₄×C₁₉	—	2	1	no	—
360	C₄×D₄×C₁₉	—	2	1	no	—
361	C₄×D₄×C₁₉	—	2	1	no	—
362	C₄×D₄×C₁₉	—	2	1	no	—
363	C₄×D₄×C₁₉	—	2	1	no	—
364	C₄×D₄×C₁₉	—	2	1	no	—
365	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
374	C₁₉×#117	—	2	1	no	—
375	C₁₉×#117	—	2	1	no	—
376	C₁₉×#117	—	2	1	no	—
377	C₁₉×#117	—	2	1	no	—
378	C₁₉×#117	—	2	1	no	—
379	C₁₉×#117	C₂³	1	1	yes	characteristic
380	C₁₉×#117	C₂³	1	1	yes	characteristic
381	C₁₉×#117	C₂³	1	1	yes	characteristic
382	C₁₉×#117	C₂³	1	1	yes	characteristic
383	C₁₉×#117	C₂³	1	1	yes	characteristic
384	C₁₉×#117	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
386	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
387	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
388	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
389	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
402	C₁₉×#107	C₂³	1	1	yes	characteristic
403	C₁₉×#107	C₂³	1	1	yes	characteristic
404	C₁₉×#107	C₂³	1	1	yes	characteristic
405	C₁₉×#107	C₂³	1	1	yes	characteristic
406	C₁₉×#107	C₂³	1	1	yes	characteristic
407	C₁₉×#107	C₂³	1	1	yes	characteristic
408	C₁₉×#107	C₂³	1	1	yes	characteristic
409	C₁₉×#107	C₂³	1	1	yes	characteristic
410	C₁₉×#106	C₂³	1	1	yes	characteristic
411	C₁₉×#106	C₂³	1	1	yes	characteristic
412	C₁₉×#106	C₂³	1	1	yes	characteristic
413	C₁₉×#106	C₂³	1	1	yes	characteristic
414	C₁₉×#106	C₂³	1	1	yes	characteristic
415	C₁₉×#106	C₂³	1	1	yes	characteristic
416	C₁₉×#106	C₂³	1	1	yes	characteristic
417	C₁₉×#106	C₂³	1	1	yes	characteristic
418	C₁₉×#106	C₂³	1	1	yes	characteristic
419	C₁₉×#106	C₂³	1	1	yes	characteristic
420	C₁₉×#106	C₂³	1	1	yes	characteristic
421	C₁₉×#106	C₂³	1	1	yes	characteristic
422	C₁₉×#106	C₂³	1	1	yes	characteristic
423	C₁₉×#106	C₂³	1	1	yes	characteristic
424	C₁₉×#106	C₂³	1	1	yes	characteristic
425	C₁₉×#106	C₂³	1	1	yes	characteristic
426	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₉×#103	C₂³	1	1	yes	characteristic
431	C₁₉×#103	C₂³	1	1	yes	characteristic
432	C₁₉×#103	C₂³	1	1	yes	characteristic
433	C₁₉×#103	C₂³	1	1	yes	characteristic
434	C₁₉×#103	C₂³	1	1	yes	characteristic
435	C₁₉×#103	C₂³	1	1	yes	characteristic
436	C₁₉×#103	C₂³	1	1	yes	characteristic
437	C₁₉×#103	C₂³	1	1	yes	characteristic
438	C₁₉×#103	C₂³	1	1	yes	characteristic
439	C₁₉×#103	C₂³	1	1	yes	characteristic
440	C₁₉×#102	C₂³	1	1	yes	characteristic
441	C₁₉×#102	C₂³	1	1	yes	characteristic
442	C₁₉×#102	C₂³	1	1	yes	characteristic
443	C₁₉×#102	C₂³	1	1	yes	characteristic
444	C₁₉×#102	C₂³	1	1	yes	characteristic
445	C₁₉×#102	C₂³	1	1	yes	characteristic
446	C₁₉×#102	C₂³	1	1	yes	characteristic
447	C₁₉×#102	C₂³	1	1	yes	characteristic
448	C₁₉×#102	C₂³	1	1	yes	characteristic
449	C₁₉×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₁₉×C₂²⋊C₈	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×#97	C₂³	1	1	yes	characteristic
475	C₁₉×#97	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
478	C₂⁴×C₁₉	—	2	1	no	—
479	C₂⁴×C₁₉	—	2	1	no	—
480	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
481	#41×C₁₉	—	4	1	no	—
482	#41×C₁₉	—	4	1	no	—
483	#41×C₁₉	—	4	1	no	—
484	#41×C₁₉	—	4	1	no	—
485	#41×C₁₉	—	4	1	no	—
486	#41×C₁₉	—	4	1	no	—
487	#41×C₁₉	—	4	1	no	—
488	#41×C₁₉	—	4	1	no	—
489	#41×C₁₉	—	8	2	no	—
490	#41×C₁₉	—	8	2	no	—
491	#41×C₁₉	—	8	2	no	—
492	C₂×Q₈×C₁₉	—	2	1	no	—
493	C₂×Q₈×C₁₉	—	2	1	no	—
494	C₂×Q₈×C₁₉	—	2	1	no	—
495	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
496	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₉	—	2	1	no	—
499	C₂×D₄×C₁₉	—	2	1	no	—
500	C₂×D₄×C₁₉	—	2	1	no	—
501	C₂×D₄×C₁₉	—	2	1	no	—
502	C₂×D₄×C₁₉	—	2	1	no	—
503	C₂×D₄×C₁₉	—	2	1	no	—
504	C₂×D₄×C₁₉	—	2	1	no	—
505	C₂×D₄×C₁₉	—	2	1	no	—
506	C₂×D₄×C₁₉	—	2	1	no	—
507	C₂×D₄×C₁₉	—	2	1	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	—	4	1	no	—
519	C₂×D₄×C₁₉	—	4	1	no	—
520	C₂×D₄×C₁₉	—	4	1	no	—
521	C₂×D₄×C₁₉	—	4	1	no	—
522	C₂×D₄×C₁₉	—	8	2	no	—
523	C₂×D₄×C₁₉	—	8	2	no	—
524	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
530	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
531	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
550	C₂²×C₄×C₁₉	—	2	1	no	—
551	C₂²×C₄×C₁₉	—	2	1	no	—
552	C₂²×C₄×C₁₉	—	2	1	no	—
553	C₂²×C₄×C₁₉	—	4	1	no	—
554	C₂²×C₄×C₁₉	—	4	1	no	—
555	C₂²×C₄×C₁₉	—	8	2	no	—
556	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
559	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
564	Q₁₆×C₁₉	—	4	1	no	—
565	SD₁₆×C₁₉	—	4	1	no	—
566	SD₁₆×C₁₉	—	4	1	no	—
567	SD₁₆×C₁₉	—	4	1	no	—
568	SD₁₆×C₁₉	—	4	1	no	—
569	D₈×C₁₉	—	4	1	no	—
570	D₈×C₁₉	—	4	1	no	—
571	D₈×C₁₉	—	4	1	no	—
572	M₁₆×C₁₉	—	4	1	no	—
573	M₁₆×C₁₉	—	4	1	no	—
574	M₁₆×C₁₉	—	4	1	no	—
575	M₁₆×C₁₉	—	4	1	no	—
576	C₂×C₈×C₁₉	—	4	1	no	—
577	C₂×C₈×C₁₉	—	4	1	no	—
578	C₂×C₈×C₁₉	—	4	1	no	—
579	C₂×C₈×C₁₉	—	4	1	no	—
580	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₁₉	—	2	1	no	—
589	C₄⋊C₄×C₁₉	—	2	1	no	—
590	C₄⋊C₄×C₁₉	—	2	1	no	—
591	C₄⋊C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
622	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
623	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
629	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
631	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
632	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
633	C₂²⋊C₄×C₁₉	—	2	1	no	—
634	C₂²⋊C₄×C₁₉	—	2	1	no	—
635	C₂²⋊C₄×C₁₉	—	2	1	no	—
636	C₂²⋊C₄×C₁₉	—	2	1	no	—
637	C₂²⋊C₄×C₁₉	—	2	1	no	—
638	C₂²⋊C₄×C₁₉	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
673	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₁₉	—	2	1	no	—
676	C₄²×C₁₉	—	2	1	no	—
677	C₄²×C₁₉	—	2	1	no	—
678	C₄²×C₁₉	—	2	1	no	—
679	C₄²×C₁₉	—	2	1	no	—
680	C₄²×C₁₉	—	2	1	no	—
681	C₄²×C₁₉	—	2	1	no	—
682	C₄²×C₁₉	—	2	1	no	—
683	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
684	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
685	#61746	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
686	C₂³×C₁₉	—	2	2	no	—
687	C₂³×C₁₉	—	2	1	no	—
688	C₂³×C₁₉	—	2	1	no	—
689	C₂³×C₁₉	—	2	1	no	—
690	C₂³×C₁₉	—	2	1	no	—
691	C₂³×C₁₉	—	4	1	no	—
692	C₂³×C₁₉	—	4	1	no	—
693	C₂³×C₁₉	—	4	2	no	—
694	C₂³×C₁₉	—	8	1	no	—
695	C₂³×C₁₉	—	8	1	no	—
696	C₂³×C₁₉	—	8	1	no	—
697	C₂³×C₁₉	—	8	1	no	—
698	C₂³×C₁₉	—	8	1	no	—
699	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
700	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
701	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
702	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
703	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
704	Q₈×C₁₉	—	2	1	no	—
705	Q₈×C₁₉	—	2	1	no	—
706	Q₈×C₁₉	—	2	1	no	—
707	Q₈×C₁₉	—	2	1	no	—
708	Q₈×C₁₉	—	4	1	no	—
709	Q₈×C₁₉	—	8	1	no	—
710	Q₈×C₁₉	—	8	1	no	—
711	Q₈×C₁₉	—	8	1	no	—
712	D₄×C₁₉	—	2	2	no	—
713	D₄×C₁₉	—	2	2	no	—
714	D₄×C₁₉	—	2	1	no	—
715	D₄×C₁₉	—	2	1	no	—
716	D₄×C₁₉	—	2	1	no	—
717	D₄×C₁₉	—	2	1	no	—
718	D₄×C₁₉	—	2	1	no	—
719	D₄×C₁₉	—	2	1	no	—
720	D₄×C₁₉	—	2	1	no	—
721	D₄×C₁₉	—	2	1	no	—
722	D₄×C₁₉	—	4	1	no	—
723	D₄×C₁₉	—	4	1	no	—
724	D₄×C₁₉	—	4	1	no	—
725	D₄×C₁₉	—	4	1	no	—
726	D₄×C₁₉	—	4	1	no	—
727	D₄×C₁₉	—	4	2	no	—
728	D₄×C₁₉	—	4	2	no	—
729	D₄×C₁₉	—	4	2	no	—
730	D₄×C₁₉	—	4	2	no	—
731	D₄×C₁₉	—	8	1	no	—
732	D₄×C₁₉	—	8	1	no	—
733	D₄×C₁₉	—	8	1	no	—
734	D₄×C₁₉	—	8	1	no	—
735	D₄×C₁₉	—	8	1	no	—
736	D₄×C₁₉	—	8	1	no	—
737	D₄×C₁₉	—	8	1	no	—
738	D₄×C₁₉	—	8	1	no	—
739	D₄×C₁₉	—	8	1	no	—
740	D₄×C₁₉	—	8	1	no	—
741	D₄×C₁₉	—	8	1	no	—
742	D₄×C₁₉	—	8	1	no	—
743	D₄×C₁₉	—	8	1	no	—
744	D₄×C₁₉	—	8	1	no	—
745	D₄×C₁₉	—	8	1	no	—
746	D₄×C₁₉	—	8	1	no	—
747	C₂×C₄×C₁₉	—	2	1	no	—
748	C₂×C₄×C₁₉	—	2	1	no	—
749	C₂×C₄×C₁₉	—	2	1	no	—
750	C₂×C₄×C₁₉	—	2	1	no	—
751	C₂×C₄×C₁₉	—	2	1	no	—
752	C₂×C₄×C₁₉	—	2	1	no	—
753	C₂×C₄×C₁₉	—	2	1	no	—
754	C₂×C₄×C₁₉	—	2	1	no	—
755	C₂×C₄×C₁₉	—	2	1	no	—
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	—	4	1	no	—
770	C₂×C₄×C₁₉	—	4	1	no	—
771	C₂×C₄×C₁₉	—	4	1	no	—
772	C₂×C₄×C₁₉	—	4	2	no	—
773	C₂×C₄×C₁₉	—	4	2	no	—
774	C₂×C₄×C₁₉	—	4	2	no	—
775	C₂×C₄×C₁₉	—	4	2	no	—
776	C₂×C₄×C₁₉	—	8	1	no	—
777	C₂×C₄×C₁₉	—	8	1	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	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
800	C₈×C₁₉	—	2	1	no	—
801	C₈×C₁₉	—	2	1	no	—
802	C₈×C₁₉	—	2	1	no	—
803	C₈×C₁₉	—	2	1	no	—
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	#3542	C₂×C₁₉	1	1	yes	characteristic, complemented
809	#3492	C₂×C₁₉	1	1	yes	characteristic, complemented
810	#3354	C₂×C₁₉	1	1	yes	characteristic, complemented
811	#3351	C₂×C₁₉	1	1	yes	characteristic, complemented
812	#3348	C₂×C₁₉	1	1	yes	characteristic, complemented
813	#3345	C₂×C₁₉	1	1	yes	characteristic, complemented
814	#3345	C₂×C₁₉	1	1	yes	characteristic, complemented
815	#3344	C₂×C₁₉	1	1	yes	characteristic, complemented
816	#3337	C₂×C₁₉	1	1	yes	characteristic, complemented
817	#3335	C₂×C₁₉	1	1	yes	characteristic, complemented
818	#3332	C₂×C₁₉	1	1	yes	characteristic, complemented
819	#3323	C₂×C₁₉	1	1	yes	characteristic, complemented
820	#3318	C₂×C₁₉	1	1	yes	characteristic, complemented
821	#3317	C₂×C₁₉	1	1	yes	characteristic, complemented
822	#3314	C₂×C₁₉	1	1	yes	characteristic, complemented
823	#3306	C₂×C₁₉	1	1	yes	characteristic, complemented
824	#3297	C₂×C₁₉	1	1	yes	characteristic, complemented
825	#3295	C₂×C₁₉	1	1	yes	characteristic, complemented
826	#3244	C₂×C₁₉	1	1	yes	characteristic, complemented
827	#3241	C₂×C₁₉	1	1	yes	characteristic, complemented
828	#3204	C₂×C₁₉	1	1	yes	characteristic, complemented
829	#3198	C₂×C₁₉	1	1	yes	characteristic, complemented
830	#3194	C₂×C₁₉	1	1	yes	characteristic, complemented
831	#3191	C₂×C₁₉	1	1	yes	characteristic, complemented
832	#3125	C₂×C₁₉	1	1	yes	characteristic, complemented
833	#3119	C₂×C₁₉	1	1	yes	characteristic, complemented
834	#3099	C₂×C₁₉	1	1	yes	characteristic, complemented
835	#3096	C₂×C₁₉	1	1	yes	characteristic, complemented
836	#3092	C₂×C₁₉	1	1	yes	characteristic, complemented
837	C₂×#481	C₂×C₁₉	1	1	yes	characteristic, complemented
838	#2976	C₂×C₁₉	1	1	yes	characteristic, complemented
839	C₂²×C₁₉	—	2	1	no	—
840	C₂²×C₁₉	—	2	1	no	—
841	C₂²×C₁₉	—	2	1	no	—
842	C₂²×C₁₉	—	2	1	no	—
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	1	no	—
853	C₂²×C₁₉	—	4	4	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	—	4	1	no	—
865	C₂²×C₁₉	—	4	1	no	—
866	C₂²×C₁₉	—	16	2	no	—
867	C₂²×C₁₉	—	16	2	no	—
868	C₂²×C₁₉	#577	1	2	yes	—
869	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
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	—	2	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	—	4	1	no	—
891	C₄×C₁₉	#585	1	1	yes	characteristic
892	C₄×C₁₉	#585	1	1	yes	characteristic
893	#562	—	2	1	no	—
894	#560	—	2	1	no	—
895	#555	C₂²×C₁₉	1	1	yes	characteristic
896	#554	—	2	1	no	—
897	#554	C₂²×C₁₉	1	1	yes	characteristic
898	#554	C₂²×C₁₉	1	1	yes	characteristic, complemented
899	#553	—	2	1	no	—
900	#553	C₂²×C₁₉	1	1	yes	characteristic
901	#553	C₂²×C₁₉	1	1	yes	characteristic
902	#553	C₂²×C₁₉	1	1	yes	characteristic, complemented
903	#552	—	2	1	no	—
904	#552	C₂²×C₁₉	1	1	yes	characteristic
905	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
906	#552	C₂²×C₁₉	1	1	yes	characteristic, complemented
907	#551	—	2	1	no	—
908	#550	C₂²×C₁₉	1	1	yes	characteristic
909	#547	—	2	1	no	—
910	#547	C₂²×C₁₉	1	1	yes	characteristic
911	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
912	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
913	#546	—	2	1	no	—
914	#546	C₂²×C₁₉	1	1	yes	characteristic
915	#546	C₂²×C₁₉	1	1	yes	characteristic
916	D₄²	C₂²×C₁₉	1	1	yes	characteristic
917	#544	C₂²×C₁₉	1	1	yes	characteristic, complemented
918	#542	C₂²×C₁₉	1	1	yes	characteristic
919	#540	—	2	1	no	—
920	#540	C₂²×C₁₉	1	1	yes	characteristic
921	#539	—	2	1	no	—
922	#539	—	2	1	no	—
923	#538	—	2	1	no	—
924	#537	C₂²×C₁₉	1	1	yes	characteristic
925	#537	C₂²×C₁₉	1	1	yes	characteristic, complemented
926	#535	—	2	1	no	—
927	#535	C₂²×C₁₉	1	1	yes	characteristic
928	#534	—	2	1	no	—
929	#525	—	2	1	no	—
930	#525	—	2	1	no	—
931	#525	C₂²×C₁₉	1	1	yes	characteristic
932	#525	C₂²×C₁₉	1	1	yes	characteristic
933	#525	C₂²×C₁₉	1	1	yes	characteristic, complemented
934	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
935	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
936	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
937	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
938	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
939	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
940	#499	C₂²×C₁₉	1	1	yes	characteristic, complemented
941	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
942	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
943	#489	C₂²×C₁₉	1	1	yes	characteristic, complemented
944	#488	C₂²×C₁₉	1	1	yes	characteristic, complemented
945	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
946	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
947	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
948	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
949	#485	C₂²×C₁₉	1	1	yes	characteristic, complemented
950	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
951	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
952	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
953	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
954	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
955	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
956	#483	C₂²×C₁₉	1	1	yes	characteristic, complemented
957	#482	C₂²×C₁₉	1	1	yes	characteristic
958	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
959	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
960	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
961	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
962	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
963	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
964	#482	C₂²×C₁₉	1	1	yes	characteristic, complemented
965	#481	C₂²×C₁₉	1	1	yes	characteristic
966	#481	C₂²×C₁₉	1	1	yes	characteristic
967	#481	C₂²×C₁₉	1	1	yes	characteristic
968	#481	C₂²×C₁₉	1	1	yes	characteristic
969	#481	C₂²×C₁₉	1	1	yes	characteristic
970	#481	C₂²×C₁₉	1	1	yes	characteristic
971	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
972	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
973	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
974	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
975	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
976	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
977	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
978	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
979	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
980	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
981	#480	C₂²×C₁₉	1	1	yes	characteristic, complemented
982	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
983	#479	C₂²×C₁₉	1	1	yes	characteristic, complemented
984	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
985	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
986	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
987	#478	C₂²×C₁₉	1	1	yes	characteristic, complemented
988	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
989	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
990	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
991	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
992	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
993	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
994	#470	C₂²×C₁₉	1	1	yes	characteristic, complemented
995	#469	C₂²×C₁₉	1	1	yes	characteristic
996	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
997	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
998	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
999	#468	C₂²×C₁₉	1	1	yes	characteristic
1000	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1001	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
1002	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
1003	#466	C₂²×C₁₉	1	1	yes	characteristic
1004	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
1005	#465	C₂²×C₁₉	1	1	yes	characteristic
1006	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1007	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1008	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1009	#465	C₂²×C₁₉	1	1	yes	characteristic, complemented
1010	#464	C₂²×C₁₉	1	1	yes	characteristic, complemented
1011	#463	C₂²×C₁₉	1	1	yes	characteristic, complemented
1012	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
1013	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
1014	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1016	#452	C₂²×C₁₉	1	1	yes	characteristic, complemented
1017	#450	C₂²×C₁₉	1	1	yes	characteristic
1018	#450	C₂²×C₁₉	1	1	yes	characteristic, complemented
1019	#449	C₂²×C₁₉	1	1	yes	characteristic
1020	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1021	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1022	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1023	#449	C₂²×C₁₉	1	1	yes	characteristic, complemented
1024	#447	C₂²×C₁₉	1	1	yes	characteristic
1025	#447	C₂²×C₁₉	1	1	yes	characteristic, complemented
1026	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
1027	#442	C₂²×C₁₉	1	1	yes	characteristic, complemented
1028	#441	C₂²×C₁₉	1	1	yes	characteristic, complemented
1029	#440	C₂²×C₁₉	1	1	yes	characteristic, complemented
1030	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1031	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1032	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
1033	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1034	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1035	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
1036	#435	C₂²×C₁₉	1	1	yes	characteristic
1037	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1038	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1039	#435	C₂²×C₁₉	1	1	yes	characteristic, complemented
1040	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
1041	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
1042	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1043	#433	C₂²×C₁₉	1	1	yes	characteristic, complemented
1044	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1045	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1046	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1047	#428	C₂²×C₁₉	1	1	yes	characteristic, complemented
1048	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
1049	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
1050	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
1051	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
1052	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
1053	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1054	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1055	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
1056	#416	C₂²×C₁₉	1	1	yes	characteristic, complemented
1057	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
1058	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
1059	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
1060	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
1061	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
1062	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
1063	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
1064	C₂×C₁₉	—	2	2	no	—
1065	C₂×C₁₉	—	4	1	no	—
1066	C₂×C₁₉	—	4	1	no	—
1067	C₂×C₁₉	—	4	1	no	—
1068	C₂×C₁₉	—	4	1	no	—
1069	C₂×C₁₉	—	8	1	no	—
1070	C₂×C₁₉	—	8	1	no	—
1071	C₂×C₁₉	—	8	1	no	—
1072	C₂×C₁₉	—	8	1	no	—
1073	C₂×C₁₉	#3485	1	1	yes	characteristic
1074	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
1075	C₂×C₁₉	#3585	1	1	yes	characteristic
1076	C₂×#41	—	2	1	no	—
1077	C₂×#41	—	2	1	no	—
1078	C₂×#41	—	2	1	no	—
1079	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1080	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1081	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1082	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
1083	C₂²×D₄	—	2	1	no	—
1084	C₂²×D₄	—	2	1	no	—
1085	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
1087	C₂³×C₄	—	2	1	no	—
1088	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
1094	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1095	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
1097	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1098	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1099	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1100	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
1101	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1102	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1103	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1104	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
1105	C₄⋊Q₈	—	2	1	no	—
1106	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1107	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1108	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1109	#127	—	2	1	no	—
1110	#127	—	2	1	no	—
1111	#127	C₂³×C₁₉	1	1	yes	characteristic
1112	#126	—	2	1	no	—
1113	#126	—	2	1	no	—
1114	#126	—	2	1	no	—
1115	#126	—	2	1	no	—
1116	#126	—	2	1	no	—
1117	#126	—	2	1	no	—
1118	#126	—	2	1	no	—
1119	#125	—	2	1	no	—
1120	#125	—	2	1	no	—
1121	#125	—	2	1	no	—
1122	#125	—	2	1	no	—
1123	#125	—	2	1	no	—
1124	#125	—	2	1	no	—
1125	#125	C₂³×C₁₉	1	1	yes	characteristic
1126	#125	C₂³×C₁₉	1	1	yes	characteristic
1127	#125	C₂³×C₁₉	1	1	yes	characteristic
1128	#124	—	2	1	no	—
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	C₂³×C₁₉	1	1	yes	characteristic
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	D₄×C₁₉	1	1	yes	characteristic
1153	#123	D₄×C₁₉	1	1	yes	characteristic
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1167	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1169	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1170	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1173	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1174	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	D₄×C₁₉	1	1	yes	characteristic
1195	#121	D₄×C₁₉	1	1	yes	characteristic
1196	#121	C₂³×C₁₉	1	1	yes	characteristic
1197	#121	C₂³×C₁₉	1	1	yes	characteristic
1198	#121	C₂³×C₁₉	1	1	yes	characteristic
1199	#121	C₂³×C₁₉	1	1	yes	characteristic
1200	#121	C₂³×C₁₉	1	1	yes	characteristic
1201	#121	C₂³×C₁₉	1	1	yes	characteristic
1202	#121	C₂³×C₁₉	1	1	yes	characteristic
1203	#121	C₂³×C₁₉	1	1	yes	characteristic
1204	#121	C₂³×C₁₉	1	1	yes	characteristic
1205	#121	C₂³×C₁₉	1	1	yes	characteristic
1206	#121	C₂³×C₁₉	1	1	yes	characteristic
1207	#121	C₂³×C₁₉	1	1	yes	characteristic
1208	#121	C₂³×C₁₉	1	1	yes	characteristic
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	#120	—	2	1	no	—
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	#120	—	2	1	no	—
1216	#120	—	2	1	no	—
1217	#120	D₄×C₁₉	1	1	yes	characteristic
1218	#120	D₄×C₁₉	1	1	yes	characteristic
1219	C₄×Q₈	—	2	1	no	—
1220	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1221	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
1223	C₄×D₄	—	2	1	no	—
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	2	1	no	—
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	—	2	1	no	—
1235	C₄×D₄	—	2	1	no	—
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1244	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1245	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1246	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
1247	#117	—	2	1	no	—
1248	#117	—	2	1	no	—
1249	#117	—	2	1	no	—
1250	#117	—	2	1	no	—
1251	#117	—	2	1	no	—
1252	#117	C₂³×C₁₉	1	1	yes	characteristic
1253	#117	C₂³×C₁₉	1	1	yes	characteristic
1254	#117	C₂³×C₁₉	1	1	yes	characteristic
1255	#117	C₂³×C₁₉	1	1	yes	characteristic
1256	#117	C₂³×C₁₉	1	1	yes	characteristic
1257	#117	C₂³×C₁₉	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	—	2	1	no	—
1259	C₂×C₄⋊C₄	—	2	1	no	—
1260	C₂×C₄⋊C₄	—	2	1	no	—
1261	C₂×C₄⋊C₄	—	2	1	no	—
1262	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1263	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1264	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1265	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1266	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1268	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1269	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1270	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1271	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	—	2	1	no	—
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	2	1	no	—
1275	#107	C₂³×C₁₉	1	1	yes	characteristic
1276	#107	C₂³×C₁₉	1	1	yes	characteristic
1277	#107	C₂³×C₁₉	1	1	yes	characteristic
1278	#107	C₂³×C₁₉	1	1	yes	characteristic
1279	#107	C₂³×C₁₉	1	1	yes	characteristic
1280	#107	C₂³×C₁₉	1	1	yes	characteristic
1281	#107	C₂³×C₁₉	1	1	yes	characteristic
1282	#107	C₂³×C₁₉	1	1	yes	characteristic
1283	#106	C₂³×C₁₉	1	1	yes	characteristic
1284	#106	C₂³×C₁₉	1	1	yes	characteristic
1285	#106	C₂³×C₁₉	1	1	yes	characteristic
1286	#106	C₂³×C₁₉	1	1	yes	characteristic
1287	#106	C₂³×C₁₉	1	1	yes	characteristic
1288	#106	C₂³×C₁₉	1	1	yes	characteristic
1289	#106	C₂³×C₁₉	1	1	yes	characteristic
1290	#106	C₂³×C₁₉	1	1	yes	characteristic
1291	#106	C₂³×C₁₉	1	1	yes	characteristic
1292	#106	C₂³×C₁₉	1	1	yes	characteristic
1293	#106	C₂³×C₁₉	1	1	yes	characteristic
1294	#106	C₂³×C₁₉	1	1	yes	characteristic
1295	#106	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	C₄⋊C₈	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	#103	C₂³×C₁₉	1	1	yes	characteristic
1304	#103	C₂³×C₁₉	1	1	yes	characteristic
1305	#103	C₂³×C₁₉	1	1	yes	characteristic
1306	#103	C₂³×C₁₉	1	1	yes	characteristic
1307	#103	C₂³×C₁₉	1	1	yes	characteristic
1308	#103	C₂³×C₁₉	1	1	yes	characteristic
1309	#103	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	#102	C₂³×C₁₉	1	1	yes	characteristic
1314	#102	C₂³×C₁₉	1	1	yes	characteristic
1315	#102	C₂³×C₁₉	1	1	yes	characteristic
1316	#102	C₂³×C₁₉	1	1	yes	characteristic
1317	#102	C₂³×C₁₉	1	1	yes	characteristic
1318	#102	C₂³×C₁₉	1	1	yes	characteristic
1319	#102	C₂³×C₁₉	1	1	yes	characteristic
1320	#102	C₂³×C₁₉	1	1	yes	characteristic
1321	#102	C₂³×C₁₉	1	1	yes	characteristic
1322	#102	C₂³×C₁₉	1	1	yes	characteristic
1323	#102	C₂³×C₁₉	1	1	yes	characteristic
1324	#102	C₂³×C₁₉	1	1	yes	characteristic
1325	#102	C₂³×C₁₉	1	1	yes	characteristic
1326	#102	C₂³×C₁₉	1	1	yes	characteristic
1327	#102	C₂³×C₁₉	1	1	yes	characteristic
1328	#102	C₂³×C₁₉	1	1	yes	characteristic
1329	#102	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	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
1341	C₂²⋊C₈	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	#97	C₂³×C₁₉	1	1	yes	characteristic
1348	#97	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	C₁₉	#61746	1	1	yes	characteristic, direct product factor, Sylow
1352	C₂⁴	—	2	1	no	—
1353	C₂⁴	—	2	1	no	—
1354	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	#41	—	4	1	no	—
1359	#41	—	4	1	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	8	2	no	—
1364	#41	—	8	2	no	—
1365	#41	—	8	2	no	—
1366	C₂×Q₈	—	2	1	no	—
1367	C₂×Q₈	—	2	1	no	—
1368	C₂×Q₈	—	2	1	no	—
1369	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	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	—	4	1	no	—
1393	C₂×D₄	—	4	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	8	2	no	—
1397	C₂×D₄	—	8	2	no	—
1398	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1399	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1400	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1401	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1402	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1403	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1404	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1405	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1406	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1407	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1408	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
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	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	4	1	no	—
1428	C₂²×C₄	—	4	1	no	—
1429	C₂²×C₄	—	8	2	no	—
1430	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1431	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1432	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1435	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1438	Q₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	SD₁₆	—	4	1	no	—
1441	SD₁₆	—	4	1	no	—
1442	SD₁₆	—	4	1	no	—
1443	D₈	—	4	1	no	—
1444	D₈	—	4	1	no	—
1445	D₈	—	4	1	no	—
1446	M₁₆	—	4	1	no	—
1447	M₁₆	—	4	1	no	—
1448	M₁₆	—	4	1	no	—
1449	M₁₆	—	4	1	no	—
1450	C₂×C₈	—	4	1	no	—
1451	C₂×C₈	—	4	1	no	—
1452	C₂×C₈	—	4	1	no	—
1453	C₂×C₈	—	4	1	no	—
1454	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₉	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
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	C₂⁴×C₁₉	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₉	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1548	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1559	C₂³	—	2	2	no	—
1560	C₂³	—	2	1	no	—
1561	C₂³	—	2	1	no	—
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	4	1	no	—
1565	C₂³	—	4	1	no	—
1566	C₂³	—	4	2	no	—
1567	C₂³	—	8	1	no	—
1568	C₂³	—	8	1	no	—
1569	C₂³	—	8	1	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	—	8	1	no	—
1572	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1573	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1574	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1575	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1576	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	4	1	no	—
1582	Q₈	—	8	1	no	—
1583	Q₈	—	8	1	no	—
1584	Q₈	—	8	1	no	—
1585	D₄	—	2	2	no	—
1586	D₄	—	2	2	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	4	1	no	—
1596	D₄	—	4	1	no	—
1597	D₄	—	4	1	no	—
1598	D₄	—	4	1	no	—
1599	D₄	—	4	1	no	—
1600	D₄	—	4	2	no	—
1601	D₄	—	4	2	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	8	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
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	—	4	1	no	—
1643	C₂×C₄	—	4	1	no	—
1644	C₂×C₄	—	4	1	no	—
1645	C₂×C₄	—	4	2	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	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	—	8	1	no	—
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	C₂⁵×C₁₉	1	1	yes	characteristic
1673	C₈	—	2	1	no	—
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	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	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	—	2	1	no	—
1693	C₂²	—	2	1	no	—
1694	C₂²	—	2	1	no	—
1695	C₂²	—	4	4	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	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	16	2	no	—
1709	C₂²	—	16	2	no	—
1710	C₂²	C₁₉×#577	1	2	yes	—
1711	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
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	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	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	—	4	1	no	—
1730	C₄	—	4	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	C₁₉×#585	1	1	yes	characteristic
1734	C₄	C₁₉×#585	1	1	yes	characteristic
1735	C₂	—	2	2	no	—
1736	C₂	—	4	1	no	—
1737	C₂	—	4	1	no	—
1738	C₂	—	4	1	no	—
1739	C₂	—	4	1	no	—
1740	C₂	—	8	1	no	—
1741	C₂	—	8	1	no	—
1742	C₂	—	8	1	no	—
1743	C₂	—	8	1	no	—
1744	C₂	C₁₉×#3485	1	1	yes	characteristic
1745	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1746	C₂	C₁₉×#3585	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3542	C₂	semidirect
2. C₁₉×#3492	C₂	semidirect
3. C₁₉×#3354	C₂	semidirect
4. C₁₉×#3351	C₂	semidirect
5. C₁₉×#3348	C₂	semidirect
6. C₁₉×#3345	C₂	semidirect
7. C₁₉×#3345	C₂	semidirect
8. C₁₉×#3344	C₂	semidirect
9. C₁₉×#3337	C₂	semidirect
10. C₁₉×#3335	C₂	semidirect
11. C₁₉×#3332	C₂	semidirect
12. C₁₉×#3323	C₂	semidirect
13. C₁₉×#3318	C₂	semidirect
14. C₁₉×#3317	C₂	semidirect
15. C₁₉×#3314	C₂	semidirect
16. C₁₉×#3306	C₂	semidirect
17. C₁₉×#3297	C₂	semidirect
18. C₁₉×#3295	C₂	semidirect
19. C₁₉×#3244	C₂	semidirect
20. C₁₉×#3241	C₂	semidirect
21. C₁₉×#3204	C₂	semidirect
22. C₁₉×#3198	C₂	semidirect
23. C₁₉×#3194	C₂	semidirect
24. C₁₉×#3191	C₂	semidirect
25. C₁₉×#3125	C₂	semidirect
26. C₁₉×#3119	C₂	semidirect
27. C₁₉×#3099	C₂	semidirect
28. C₁₉×#3096	C₂	semidirect
29. C₁₉×#3092	C₂	semidirect
30. C₂×C₁₉×#481	C₂	semidirect
31. C₁₉×#2976	C₂	semidirect
37. C₁₉×#554	C₂²	semidirect
41. C₁₉×#553	C₂²	semidirect
44. C₁₉×#552	C₂²	semidirect
45. C₁₉×#552	C₂²	semidirect
50. C₁₉×#547	C₂²	semidirect
51. C₁₉×#547	C₂²	semidirect
56. C₁₉×#544	C₂²	semidirect
64. C₁₉×#537	C₂²	semidirect
72. C₁₉×#525	C₂²	semidirect
74. C₁₉×#520	C₂²	semidirect
75. C₁₉×#520	C₂²	semidirect
76. C₂²×C₄⋊C₄×C₁₉	C₂²	semidirect
77. C₁₉×#501	C₂²	semidirect
78. C₁₉×#501	C₂²	semidirect
79. C₁₉×#499	C₂²	semidirect
80. C₁₉×#498	C₂²	semidirect
81. C₁₉×#490	C₂²	semidirect
82. C₁₉×#489	C₂²	semidirect
83. C₁₉×#488	C₂²	semidirect
84. C₁₉×#486	C₂²	semidirect
85. C₁₉×#485	C₂²	semidirect
86. C₁₉×#485	C₂²	semidirect
87. C₁₉×#485	C₂²	semidirect
88. C₁₉×#485	C₂²	semidirect
89. C₁₉×#484	C₂²	semidirect
90. C₁₉×#484	C₂²	semidirect
91. C₁₉×#483	C₂²	semidirect
92. C₁₉×#483	C₂²	semidirect
93. C₁₉×#483	C₂²	semidirect
94. C₁₉×#483	C₂²	semidirect
95. C₁₉×#483	C₂²	semidirect
97. C₁₉×#482	C₂²	semidirect
98. C₁₉×#482	C₂²	semidirect
99. C₁₉×#482	C₂²	semidirect
100. C₁₉×#482	C₂²	semidirect
101. C₁₉×#482	C₂²	semidirect
102. C₁₉×#482	C₂²	semidirect
103. C₁₉×#482	C₂²	semidirect
110. C₁₉×#481	C₂²	semidirect
111. C₁₉×#481	C₂²	semidirect
112. C₁₉×#481	C₂²	semidirect
113. C₁₉×#481	C₂²	semidirect
114. C₁₉×#481	C₂²	semidirect
115. C₁₉×#481	C₂²	semidirect
116. C₁₉×#481	C₂²	semidirect
117. C₁₉×#480	C₂²	semidirect
118. C₁₉×#480	C₂²	semidirect
119. C₁₉×#480	C₂²	semidirect
120. C₁₉×#480	C₂²	semidirect
121. C₁₉×#479	C₂²	semidirect
122. C₁₉×#479	C₂²	semidirect
123. C₁₉×#478	C₂²	semidirect
124. C₁₉×#478	C₂²	semidirect
125. C₁₉×#478	C₂²	semidirect
126. C₁₉×#478	C₂²	semidirect
127. C₁₉×#476	C₂²	semidirect
128. C₁₉×#476	C₂²	semidirect
129. C₁₉×#476	C₂²	semidirect
130. C₁₉×#475	C₂²	semidirect
131. C₁₉×#475	C₂²	semidirect
132. C₁₉×#474	C₂²	semidirect
133. C₁₉×#470	C₂²	semidirect
135. C₁₉×#469	C₂²	semidirect
136. C₁₉×#469	C₂²	semidirect
137. C₁₉×#469	C₂²	semidirect
139. C₁₉×#468	C₂²	semidirect
140. C₁₉×#468	C₂²	semidirect
141. C₁₉×#467	C₂²	semidirect
143. C₁₉×#466	C₂²	semidirect
145. C₁₉×#465	C₂²	semidirect
146. C₁₉×#465	C₂²	semidirect
147. C₁₉×#465	C₂²	semidirect
148. C₁₉×#465	C₂²	semidirect
149. C₁₉×#464	C₂²	semidirect
150. C₁₉×#463	C₂²	semidirect
151. C₁₉×#460	C₂²	semidirect
152. C₁₉×#459	C₂²	semidirect
153. C₁₉×#452	C₂²	semidirect
154. C₁₉×#452	C₂²	semidirect
155. C₁₉×#452	C₂²	semidirect
157. C₁₉×#450	C₂²	semidirect
159. C₁₉×#449	C₂²	semidirect
160. C₁₉×#449	C₂²	semidirect
161. C₁₉×#449	C₂²	semidirect
162. C₁₉×#449	C₂²	semidirect
164. C₁₉×#447	C₂²	semidirect
165. C₁₉×#442	C₂²	semidirect
166. C₁₉×#442	C₂²	semidirect
167. C₁₉×#441	C₂²	semidirect
168. C₁₉×#440	C₂²	semidirect
169. C₄×SD₁₆×C₁₉	C₂²	semidirect
170. C₄×SD₁₆×C₁₉	C₂²	semidirect
171. C₄×SD₁₆×C₁₉	C₂²	semidirect
172. C₄×D₈×C₁₉	C₂²	semidirect
173. C₁₉×#436	C₂²	semidirect
174. C₁₉×#436	C₂²	semidirect
176. C₁₉×#435	C₂²	semidirect
177. C₁₉×#435	C₂²	semidirect
178. C₁₉×#435	C₂²	semidirect
180. C₈×D₄×C₁₉	C₂²	semidirect
181. C₁₉×#433	C₂²	semidirect
182. C₁₉×#433	C₂²	semidirect
183. C₁₉×#428	C₂²	semidirect
184. C₁₉×#428	C₂²	semidirect
185. C₁₉×#428	C₂²	semidirect
186. C₁₉×#428	C₂²	semidirect
187. C₁₉×#427	C₂²	semidirect
188. C₂×C₁₉×#106	C₂²	semidirect
189. C₂×C₁₉×#106	C₂²	semidirect
190. C₂×C₁₉×#106	C₂²	semidirect
191. C₁₉×#418	C₂²	semidirect
192. C₁₉×#417	C₂²	semidirect
193. C₁₉×#417	C₂²	semidirect
194. C₁₉×#417	C₂²	semidirect
195. C₁₉×#416	C₂²	semidirect
198. C₂×C₁₉×#102	C₂²	semidirect
199. C₁₉×#408	C₂²	semidirect
200. C₁₉×#408	C₂²	semidirect
201. C₁₉×#407	C₂²	semidirect
202. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
685. #61746	C₁₉	direct (N × H)
808. #3542	C₂×C₁₉	semidirect
809. #3492	C₂×C₁₉	semidirect
810. #3354	C₂×C₁₉	semidirect
811. #3351	C₂×C₁₉	semidirect
812. #3348	C₂×C₁₉	semidirect
813. #3345	C₂×C₁₉	semidirect
814. #3345	C₂×C₁₉	semidirect
815. #3344	C₂×C₁₉	semidirect
816. #3337	C₂×C₁₉	semidirect
817. #3335	C₂×C₁₉	semidirect
818. #3332	C₂×C₁₉	semidirect
819. #3323	C₂×C₁₉	semidirect
820. #3318	C₂×C₁₉	semidirect
821. #3317	C₂×C₁₉	semidirect
822. #3314	C₂×C₁₉	semidirect
823. #3306	C₂×C₁₉	semidirect
824. #3297	C₂×C₁₉	semidirect
825. #3295	C₂×C₁₉	semidirect
826. #3244	C₂×C₁₉	semidirect
827. #3241	C₂×C₁₉	semidirect
828. #3204	C₂×C₁₉	semidirect
829. #3198	C₂×C₁₉	semidirect
830. #3194	C₂×C₁₉	semidirect
831. #3191	C₂×C₁₉	semidirect
832. #3125	C₂×C₁₉	semidirect
833. #3119	C₂×C₁₉	semidirect
834. #3099	C₂×C₁₉	semidirect
835. #3096	C₂×C₁₉	semidirect
836. #3092	C₂×C₁₉	semidirect
837. C₂×#481	C₂×C₁₉	semidirect
838. #2976	C₂×C₁₉	semidirect
898. #554	C₂²×C₁₉	semidirect
902. #553	C₂²×C₁₉	semidirect
905. #552	C₂²×C₁₉	semidirect
906. #552	C₂²×C₁₉	semidirect
911. #547	C₂²×C₁₉	semidirect
912. #547	C₂²×C₁₉	semidirect
917. #544	C₂²×C₁₉	semidirect
925. #537	C₂²×C₁₉	semidirect
933. #525	C₂²×C₁₉	semidirect
935. #520	C₂²×C₁₉	semidirect
936. #520	C₂²×C₁₉	semidirect
937. C₂²×C₄⋊C₄	C₂²×C₁₉	semidirect
938. #501	C₂²×C₁₉	semidirect
939. #501	C₂²×C₁₉	semidirect
940. #499	C₂²×C₁₉	semidirect
941. #498	C₂²×C₁₉	semidirect
942. #490	C₂²×C₁₉	semidirect
943. #489	C₂²×C₁₉	semidirect
944. #488	C₂²×C₁₉	semidirect
945. #486	C₂²×C₁₉	semidirect
946. #485	C₂²×C₁₉	semidirect
947. #485	C₂²×C₁₉	semidirect
948. #485	C₂²×C₁₉	semidirect
949. #485	C₂²×C₁₉	semidirect
950. #484	C₂²×C₁₉	semidirect
951. #484	C₂²×C₁₉	semidirect
952. #483	C₂²×C₁₉	semidirect
953. #483	C₂²×C₁₉	semidirect
954. #483	C₂²×C₁₉	semidirect
955. #483	C₂²×C₁₉	semidirect
956. #483	C₂²×C₁₉	semidirect
958. #482	C₂²×C₁₉	semidirect
959. #482	C₂²×C₁₉	semidirect
960. #482	C₂²×C₁₉	semidirect
961. #482	C₂²×C₁₉	semidirect
962. #482	C₂²×C₁₉	semidirect
963. #482	C₂²×C₁₉	semidirect
964. #482	C₂²×C₁₉	semidirect
971. #481	C₂²×C₁₉	semidirect
972. #481	C₂²×C₁₉	semidirect
973. #481	C₂²×C₁₉	semidirect
974. #481	C₂²×C₁₉	semidirect
975. #481	C₂²×C₁₉	semidirect
976. #481	C₂²×C₁₉	semidirect
977. #481	C₂²×C₁₉	semidirect
978. #480	C₂²×C₁₉	semidirect
979. #480	C₂²×C₁₉	semidirect
980. #480	C₂²×C₁₉	semidirect
981. #480	C₂²×C₁₉	semidirect
982. #479	C₂²×C₁₉	semidirect
983. #479	C₂²×C₁₉	semidirect
984. #478	C₂²×C₁₉	semidirect
985. #478	C₂²×C₁₉	semidirect
986. #478	C₂²×C₁₉	semidirect
987. #478	C₂²×C₁₉	semidirect
988. #476	C₂²×C₁₉	semidirect
989. #476	C₂²×C₁₉	semidirect
990. #476	C₂²×C₁₉	semidirect
991. #475	C₂²×C₁₉	semidirect
992. #475	C₂²×C₁₉	semidirect
993. #474	C₂²×C₁₉	semidirect
994. #470	C₂²×C₁₉	semidirect
996. #469	C₂²×C₁₉	semidirect
997. #469	C₂²×C₁₉	semidirect
998. #469	C₂²×C₁₉	semidirect
1000. #468	C₂²×C₁₉	semidirect
1001. #468	C₂²×C₁₉	semidirect
1002. #467	C₂²×C₁₉	semidirect
1004. #466	C₂²×C₁₉	semidirect
1006. #465	C₂²×C₁₉	semidirect
1007. #465	C₂²×C₁₉	semidirect
1008. #465	C₂²×C₁₉	semidirect
1009. #465	C₂²×C₁₉	semidirect
1010. #464	C₂²×C₁₉	semidirect
1011. #463	C₂²×C₁₉	semidirect
1012. #460	C₂²×C₁₉	semidirect
1013. #459	C₂²×C₁₉	semidirect
1014. #452	C₂²×C₁₉	semidirect
1015. #452	C₂²×C₁₉	semidirect
1016. #452	C₂²×C₁₉	semidirect
1018. #450	C₂²×C₁₉	semidirect
1020. #449	C₂²×C₁₉	semidirect
1021. #449	C₂²×C₁₉	semidirect
1022. #449	C₂²×C₁₉	semidirect
1023. #449	C₂²×C₁₉	semidirect
1025. #447	C₂²×C₁₉	semidirect
1026. #442	C₂²×C₁₉	semidirect
1027. #442	C₂²×C₁₉	semidirect
1028. #441	C₂²×C₁₉	semidirect
1029. #440	C₂²×C₁₉	semidirect
1030. C₄×SD₁₆	C₂²×C₁₉	semidirect
1031. C₄×SD₁₆	C₂²×C₁₉	semidirect
1032. C₄×SD₁₆	C₂²×C₁₉	semidirect
1033. C₄×D₈	C₂²×C₁₉	semidirect
1034. #436	C₂²×C₁₉	semidirect
1035. #436	C₂²×C₁₉	semidirect
1037. #435	C₂²×C₁₉	semidirect
1038. #435	C₂²×C₁₉	semidirect
1039. #435	C₂²×C₁₉	semidirect
1041. C₈×D₄	C₂²×C₁₉	semidirect
1042. #433	C₂²×C₁₉	semidirect
1043. #433	C₂²×C₁₉	semidirect
1044. #428	C₂²×C₁₉	semidirect
1045. #428	C₂²×C₁₉	semidirect
1046. #428	C₂²×C₁₉	semidirect
1047. #428	C₂²×C₁₉	semidirect
1048. #427	C₂²×C₁₉	semidirect
1049. C₂×#106	C₂²×C₁₉	semidirect
1050. C₂×#106	C₂²×C₁₉	semidirect
1051. C₂×#106	C₂²×C₁₉	semidirect
1052. #418	C₂²×C₁₉	semidirect
1053. #417	C₂²×C₁₉	semidirect
1054. #417	C₂²×C₁₉	semidirect
1055. #417	C₂²×C₁₉	semidirect
1056. #416	C₂²×C₁₉	semidirect
1059. C₂×#102	C₂²×C₁₉	semidirect
1060. #408	C₂²×C₁₉	semidirect
1061. #408	C₂²×C₁₉	semidirect
1062. #407	C₂²×C₁₉	semidirect
1063. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
1351. C₁₉	#61746	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₉×#3542	2
C₁₉×#3492	2
C₁₉×#3354	2
C₁₉×#3351	2
C₁₉×#3348	2
C₁₉×#3345	2
C₁₉×#3344	2
C₁₉×#3337	2
C₁₉×#3335	2
C₁₉×#3332	2
C₁₉×#3323	2
C₁₉×#3318	2
C₁₉×#3317	2
C₁₉×#3314	2
C₁₉×#3306	2
C₁₉×#3297	2
C₁₉×#3295	2
C₁₉×#3244	2
C₁₉×#3241	2
C₁₉×#3204	2
C₁₉×#3198	2
C₁₉×#3194	2
C₁₉×#3191	2
C₁₉×#3125	2
C₁₉×#3119	2
C₁₉×#3099	2
C₁₉×#3096	2
C₁₉×#3092	2
C₂×C₁₉×#481	2
C₁₉×#2976	2
#61746	19

Subgroups — C19×#61746 #18067705

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#61746 #18067705