Subgroups — C₁₉×#62879 #18068838

Order 4864.

6398 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₉×#3565	C₂	1	4	yes	maximal, complemented
3	C₁₉×#3564	C₂	1	4	yes	maximal, complemented
4	C₁₉×#3561	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3557	C₂	1	4	yes	maximal, complemented
6	C₁₉×#3555	C₂	1	4	yes	maximal, complemented
7	C₁₉×#3554	C₂	1	4	yes	maximal, complemented
8	C₁₉×#3552	C₂	1	4	yes	maximal, complemented
9	C₁₉×#3550	C₂	1	4	yes	maximal, complemented
10	C₁₉×#3544	C₂	1	4	yes	maximal, complemented
11	C₁₉×#3538	C₂	1	4	yes	maximal, complemented
12	C₁₉×#3535	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3510	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3503	C₂	1	2	yes	maximal, complemented
17	C₁₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3495	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3494	C₂	1	2	yes	maximal, complemented
21	C₁₉×#3458	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#3455	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₉×#542	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#563	C₂²	1	8	yes	complemented
25	C₁₉×#563	C₂²	1	8	yes	complemented
26	C₁₉×#563	C₂²	1	8	yes	complemented
27	C₁₉×#563	C₂²	1	8	yes	complemented
28	C₁₉×#563	C₂²	1	8	yes	complemented
29	C₁₉×#563	C₂²	1	8	yes	complemented
30	C₁₉×#562	C₂²	1	8	yes	complemented
31	C₁₉×#562	C₂²	1	8	yes	complemented
32	C₁₉×#559	C₂²	1	4	yes	complemented
33	C₁₉×#559	C₂²	1	2	yes	complemented
34	C₁₉×#559	C₂²	1	4	yes	complemented
35	C₁₉×#559	C₂²	1	4	yes	complemented
36	Q₈²×C₁₉	C₂²	1	2	yes	complemented
37	Q₈²×C₁₉	C₂²	1	2	yes	complemented
38	Q₈²×C₁₉	C₂²	1	4	yes	complemented
39	C₁₉×#557	C₂²	1	4	yes	complemented
40	C₁₉×#557	C₂²	1	4	yes	complemented
41	C₁₉×#557	C₂²	1	2	yes	complemented
42	C₁₉×#557	C₂²	1	2	yes	complemented
43	C₁₉×#557	C₂²	1	4	yes	complemented
44	C₁₉×#557	C₂²	1	2	yes	complemented
45	C₁₉×#556	C₂²	1	4	yes	complemented
46	C₁₉×#556	C₂²	1	2	yes	complemented
47	C₁₉×#556	C₂²	1	4	yes	complemented
48	C₁₉×#556	C₂²	1	2	yes	complemented
49	C₁₉×#556	C₂²	1	4	yes	complemented
50	C₁₉×#556	C₂²	1	4	yes	complemented
51	C₁₉×#556	C₂²	1	8	yes	complemented
52	C₁₉×#556	C₂²	1	8	yes	complemented
53	C₁₉×#555	C₂²	1	4	yes	—
54	C₁₉×#555	C₂²	1	2	yes	complemented
55	C₁₉×#554	C₂²	1	8	yes	—
56	C₁₉×#554	C₂²	1	4	yes	complemented
57	C₁₉×#554	C₂²	1	4	yes	complemented
58	C₁₉×#554	C₂²	1	4	yes	complemented
59	C₁₉×#554	C₂²	1	2	yes	complemented
60	C₁₉×#554	C₂²	1	2	yes	complemented
61	C₁₉×#554	C₂²	1	4	yes	complemented
62	C₁₉×#554	C₂²	1	2	yes	complemented
63	C₁₉×#553	C₂²	1	4	yes	—
64	C₁₉×#553	C₂²	1	4	yes	—
65	C₁₉×#553	C₂²	1	4	yes	complemented
66	C₁₉×#552	C₂²	1	8	yes	—
67	C₁₉×#552	C₂²	1	4	yes	complemented
68	C₁₉×#552	C₂²	1	4	yes	complemented
69	C₁₉×#552	C₂²	1	4	yes	complemented
70	C₁₉×#552	C₂²	1	8	yes	complemented
71	C₁₉×#552	C₂²	1	8	yes	complemented
72	C₁₉×#552	C₂²	1	8	yes	complemented
73	C₁₉×#551	C₂²	1	8	yes	—
74	C₁₉×#551	C₂²	1	8	yes	—
75	C₁₉×#551	C₂²	1	8	yes	—
76	C₁₉×#551	C₂²	1	8	yes	—
77	C₁₉×#550	C₂²	1	2	yes	complemented
78	D₄×Q₈×C₁₉	C₂²	1	8	yes	—
79	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
80	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
81	D₄×Q₈×C₁₉	C₂²	1	4	yes	complemented
82	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
83	C₁₉×#548	C₂²	1	8	yes	complemented
84	C₁₉×#547	C₂²	1	4	yes	—
85	C₁₉×#547	C₂²	1	2	yes	complemented
86	C₁₉×#547	C₂²	1	8	yes	complemented
87	C₁₉×#546	C₂²	1	8	yes	—
88	C₁₉×#544	C₂²	1	2	yes	—
89	C₁₉×#544	C₂²	1	2	yes	—
90	C₁₉×#544	C₂²	1	2	yes	—
91	C₁₉×#544	C₂²	1	2	yes	—
92	C₁₉×#544	C₂²	1	4	yes	—
93	C₁₉×#544	C₂²	1	2	yes	complemented
94	C₁₉×#544	C₂²	1	2	yes	complemented
95	C₁₉×#544	C₂²	1	2	yes	complemented
96	C₁₉×#544	C₂²	1	2	yes	complemented
97	C₁₉×#544	C₂²	1	4	yes	complemented
98	C₁₉×#544	C₂²	1	4	yes	complemented
99	C₁₉×#544	C₂²	1	8	yes	complemented
100	C₁₉×#543	C₂²	1	2	yes	—
101	C₁₉×#543	C₂²	1	2	yes	—
102	C₁₉×#543	C₂²	1	4	yes	—
103	C₁₉×#542	C₂²	1	4	yes	—
104	C₁₉×#542	C₂²	1	4	yes	—
105	C₁₉×#542	C₂²	1	4	yes	—
106	C₁₉×#542	C₂²	1	4	yes	—
107	C₁₉×#542	C₂²	1	4	yes	—
108	C₁₉×#542	C₂²	1	2	yes	complemented
109	C₁₉×#542	C₂²	1	2	yes	complemented
110	C₁₉×#542	C₂²	1	4	yes	complemented
111	C₁₉×#542	C₂²	1	4	yes	complemented
112	C₁₉×#542	C₂²	1	4	yes	complemented
113	C₁₉×#542	C₂²	1	8	yes	complemented
114	C₁₉×#542	C₂²	1	8	yes	complemented
115	C₁₉×#542	C₂²	1	8	yes	complemented
116	C₁₉×#542	C₂²	1	8	yes	complemented
117	C₁₉×#542	C₂²	1	8	yes	complemented
118	C₁₉×#541	C₂²	1	2	yes	complemented
119	C₁₉×#541	C₂²	1	4	yes	complemented
120	C₁₉×#541	C₂²	1	8	yes	complemented
121	C₁₉×#541	C₂²	1	8	yes	complemented
122	C₁₉×#541	C₂²	1	8	yes	complemented
123	C₁₉×#540	C₂²	1	4	yes	—
124	C₁₉×#540	C₂²	1	2	yes	complemented
125	C₁₉×#539	C₂²	1	2	yes	—
126	C₁₉×#539	C₂²	1	2	yes	—
127	C₁₉×#539	C₂²	1	4	yes	—
128	C₁₉×#539	C₂²	1	8	yes	complemented
129	C₁₉×#539	C₂²	1	8	yes	complemented
130	C₁₉×#539	C₂²	1	8	yes	complemented
131	C₁₉×#539	C₂²	1	8	yes	complemented
132	C₁₉×#538	C₂²	1	2	yes	—
133	C₁₉×#538	C₂²	1	2	yes	—
134	C₁₉×#538	C₂²	1	4	yes	—
135	C₁₉×#536	C₂²	1	2	yes	—
136	C₁₉×#536	C₂²	1	8	yes	complemented
137	C₁₉×#536	C₂²	1	8	yes	complemented
138	C₁₉×#536	C₂²	1	8	yes	complemented
139	C₁₉×#535	C₂²	1	2	yes	—
140	C₁₉×#533	C₂²	1	1	yes	characteristic
141	C₁₉×#533	C₂²	1	1	yes	characteristic
142	C₁₉×#533	C₂²	1	1	yes	characteristic
143	C₁₉×#533	C₂²	1	2	yes	—
144	C₁₉×#533	C₂²	1	4	yes	—
145	C₁₉×#533	C₂²	1	4	yes	complemented
146	C₁₉×#533	C₂²	1	4	yes	complemented
147	C₁₉×#533	C₂²	1	4	yes	complemented
148	C₁₉×#533	C₂²	1	4	yes	complemented
149	C₁₉×#532	C₂²	1	1	yes	characteristic
150	C₁₉×#532	C₂²	1	4	yes	—
151	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
152	C₂×C₁₉×C₄⋊Q₈	C₂²	1	4	yes	complemented
153	C₁₉×#529	C₂²	1	4	yes	—
154	C₁₉×#529	C₂²	1	4	yes	—
155	C₁₉×#529	C₂²	1	4	yes	complemented
156	C₁₉×#529	C₂²	1	4	yes	complemented
157	C₁₉×#529	C₂²	1	4	yes	complemented
158	C₁₉×#529	C₂²	1	4	yes	complemented
159	C₁₉×#529	C₂²	1	4	yes	complemented
160	C₂×C₁₉×#126	C₂²	1	2	yes	—
161	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic
162	C₂×C₁₉×#124	C₂²	1	2	yes	—
163	C₁₉×#525	C₂²	1	2	yes	—
164	C₁₉×#525	C₂²	1	4	yes	—
165	C₂×C₁₉×#123	C₂²	1	2	yes	—
166	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
167	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
168	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	—
169	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
170	C₁₉×#520	C₂²	1	2	yes	—
171	C₁₉×#520	C₂²	1	2	yes	—
172	C₁₉×#519	C₂²	1	2	yes	—
173	C₁₉×#518	C₂²	1	2	yes	—
174	C₄×#41×C₁₉	C₂²	1	2	yes	—
175	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
177	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
178	C₂×C₁₉×#117	C₂²	1	2	yes	—
179	C₂×#41×C₁₉	C₂³	1	2	yes	—
180	C₂×#41×C₁₉	C₂³	1	4	yes	—
181	C₂×#41×C₁₉	C₂³	1	8	yes	—
182	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
183	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
184	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
185	C₂²×Q₈×C₁₉	C₂³	1	8	yes	—
186	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
187	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
188	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
190	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
191	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
192	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
193	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
194	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
195	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
196	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
197	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
198	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
199	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
200	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
201	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
203	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
204	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
206	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
207	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
209	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
210	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
211	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
212	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
213	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
215	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
216	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
218	C₁₉×#127	C₂³	1	4	yes	—
219	C₁₉×#127	C₂³	1	1	yes	characteristic
220	C₁₉×#126	C₂³	1	8	yes	—
221	C₁₉×#126	C₂³	1	8	yes	—
222	C₁₉×#126	C₂³	1	8	yes	—
223	C₁₉×#126	C₂³	1	8	yes	—
224	C₁₉×#126	C₂³	1	4	yes	—
225	C₁₉×#126	C₂³	1	4	yes	—
226	C₁₉×#126	C₂³	1	4	yes	—
227	C₁₉×#126	C₂³	1	4	yes	—
228	C₁₉×#126	C₂³	1	8	yes	—
229	C₁₉×#126	C₂³	1	8	yes	—
230	C₁₉×#126	C₂³	1	8	yes	—
231	C₁₉×#126	C₂³	1	8	yes	—
232	C₁₉×#126	C₂³	1	8	yes	—
233	C₁₉×#126	C₂³	1	8	yes	—
234	C₁₉×#126	C₂³	1	8	yes	—
235	C₁₉×#126	C₂³	1	8	yes	—
236	C₁₉×#126	C₂³	1	8	yes	—
237	C₁₉×#126	C₂³	1	8	yes	—
238	C₁₉×#126	C₂³	1	8	yes	—
239	C₁₉×#125	C₂³	1	4	yes	—
240	C₁₉×#125	C₂³	1	4	yes	—
241	C₁₉×#125	C₂³	1	2	yes	—
242	C₁₉×#125	C₂³	1	2	yes	—
243	C₁₉×#125	C₂³	1	4	yes	—
244	C₁₉×#125	C₂³	1	4	yes	—
245	C₁₉×#125	C₂³	1	4	yes	—
246	C₁₉×#125	C₂³	1	8	yes	—
247	C₁₉×#125	C₂³	1	2	yes	—
248	C₁₉×#125	C₂³	1	2	yes	—
249	C₁₉×#125	C₂³	1	2	yes	—
250	C₁₉×#125	C₂³	1	4	yes	—
251	C₁₉×#125	C₂³	1	4	yes	—
252	C₁₉×#125	C₂³	1	8	yes	—
253	C₁₉×#125	C₂³	1	4	yes	—
254	C₁₉×#125	C₂³	1	4	yes	—
255	C₁₉×#125	C₂³	1	4	yes	—
256	C₁₉×#125	C₂³	1	4	yes	—
257	C₁₉×#125	C₂³	1	8	yes	—
258	C₁₉×#125	C₂³	1	8	yes	—
259	C₁₉×#125	C₂³	1	8	yes	—
260	C₁₉×#125	C₂³	1	8	yes	—
261	C₁₉×#125	C₂³	1	8	yes	—
262	C₁₉×#125	C₂³	1	8	yes	—
263	C₁₉×#125	C₂³	1	8	yes	—
264	C₁₉×#124	C₂³	1	4	yes	—
265	C₁₉×#124	C₂³	1	8	yes	—
266	C₁₉×#124	C₂³	1	8	yes	—
267	C₁₉×#124	C₂³	1	4	yes	—
268	C₁₉×#124	C₂³	1	4	yes	—
269	C₁₉×#124	C₂³	1	4	yes	—
270	C₁₉×#124	C₂³	1	4	yes	—
271	C₁₉×#124	C₂³	1	4	yes	—
272	C₁₉×#124	C₂³	1	4	yes	—
273	C₁₉×#124	C₂³	1	8	yes	—
274	C₁₉×#124	C₂³	1	2	yes	—
275	C₁₉×#124	C₂³	1	8	yes	—
276	C₁₉×#124	C₂³	1	8	yes	—
277	C₁₉×#124	C₂³	1	8	yes	—
278	C₁₉×#124	C₂³	1	8	yes	—
279	C₁₉×#124	C₂³	1	8	yes	—
280	C₁₉×#123	C₂³	1	8	yes	—
281	C₁₉×#123	C₂³	1	8	yes	—
282	C₁₉×#123	C₂³	1	8	yes	—
283	C₁₉×#123	C₂³	1	4	yes	—
284	C₁₉×#123	C₂³	1	8	yes	—
285	C₁₉×#123	C₂³	1	8	yes	—
286	C₁₉×#123	C₂³	1	4	yes	—
287	C₁₉×#123	C₂³	1	4	yes	—
288	C₁₉×#123	C₂³	1	8	yes	—
289	C₁₉×#123	C₂³	1	4	yes	—
290	C₁₉×#123	C₂³	1	4	yes	—
291	C₁₉×#123	C₂³	1	8	yes	—
292	C₁₉×#123	C₂³	1	8	yes	—
293	C₁₉×#123	C₂³	1	8	yes	—
294	C₁₉×#123	C₂³	1	8	yes	—
295	C₁₉×#123	C₂³	1	8	yes	—
296	C₁₉×#123	C₂³	1	8	yes	—
297	C₁₉×#123	C₂³	1	8	yes	—
298	C₁₉×#123	C₂³	1	8	yes	—
299	C₁₉×#123	C₂³	1	8	yes	—
300	C₁₉×#123	C₂³	1	8	yes	—
301	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
302	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
312	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
320	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
323	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
337	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
343	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
344	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₁₉×#121	C₂³	1	4	yes	—
350	C₁₉×#121	C₂³	1	4	yes	—
351	C₁₉×#121	C₂³	1	2	yes	—
352	C₁₉×#121	C₂³	1	2	yes	—
353	C₁₉×#121	C₂³	1	2	yes	—
354	C₁₉×#121	C₂³	1	4	yes	—
355	C₁₉×#121	C₂³	1	2	yes	—
356	C₁₉×#121	C₂³	1	4	yes	—
357	C₁₉×#121	C₂³	1	4	yes	—
358	C₁₉×#121	C₂³	1	4	yes	—
359	C₁₉×#121	C₂³	1	4	yes	—
360	C₁₉×#121	C₂³	1	8	yes	—
361	C₁₉×#121	C₂³	1	8	yes	—
362	C₁₉×#121	C₂³	1	8	yes	—
363	C₁₉×#121	C₂³	1	8	yes	—
364	C₁₉×#120	C₂³	1	8	yes	—
365	C₁₉×#120	C₂³	1	4	yes	—
366	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
367	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
368	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
369	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
370	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
371	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
372	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
373	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
374	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
375	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
376	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
377	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
378	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
379	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
380	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
381	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
382	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
383	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
384	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
385	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
386	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
387	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
388	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
389	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
390	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
391	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
392	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
393	C₄×D₄×C₁₉	C₂³	1	2	yes	—
394	C₄×D₄×C₁₉	C₂³	1	2	yes	—
395	C₄×D₄×C₁₉	C₂³	1	2	yes	—
396	C₄×D₄×C₁₉	C₂³	1	2	yes	—
397	C₄×D₄×C₁₉	C₂³	1	4	yes	—
398	C₄×D₄×C₁₉	C₂³	1	4	yes	—
399	C₄×D₄×C₁₉	C₂³	1	2	yes	—
400	C₄×D₄×C₁₉	C₂³	1	2	yes	—
401	C₄×D₄×C₁₉	C₂³	1	4	yes	—
402	C₄×D₄×C₁₉	C₂³	1	4	yes	—
403	C₄×D₄×C₁₉	C₂³	1	4	yes	—
404	C₄×D₄×C₁₉	C₂³	1	4	yes	—
405	C₄×D₄×C₁₉	C₂³	1	8	yes	—
406	C₄×D₄×C₁₉	C₂³	1	8	yes	—
407	C₄×D₄×C₁₉	C₂³	1	4	yes	—
408	C₄×D₄×C₁₉	C₂³	1	4	yes	—
409	C₄×D₄×C₁₉	C₂³	1	4	yes	—
410	C₄×D₄×C₁₉	C₂³	1	4	yes	—
411	C₄×D₄×C₁₉	C₂³	1	8	yes	—
412	C₄×D₄×C₁₉	C₂³	1	4	yes	—
413	C₄×D₄×C₁₉	C₂³	1	8	yes	—
414	C₄×D₄×C₁₉	C₂³	1	2	yes	—
415	C₄×D₄×C₁₉	C₂³	1	2	yes	—
416	C₄×D₄×C₁₉	C₂³	1	8	yes	—
417	C₄×D₄×C₁₉	C₂³	1	8	yes	—
418	C₄×D₄×C₁₉	C₂³	1	8	yes	—
419	C₄×D₄×C₁₉	C₂³	1	8	yes	—
420	C₁₉×#117	C₂³	1	2	yes	—
421	C₁₉×#117	C₂³	1	2	yes	—
422	C₁₉×#117	C₂³	1	2	yes	—
423	C₁₉×#117	C₂³	1	2	yes	—
424	C₁₉×#117	C₂³	1	4	yes	—
425	C₁₉×#117	C₂³	1	2	yes	—
426	C₁₉×#117	C₂³	1	2	yes	—
427	C₁₉×#117	C₂³	1	4	yes	—
428	C₁₉×#117	C₂³	1	2	yes	—
429	C₁₉×#117	C₂³	1	2	yes	—
430	C₁₉×#117	C₂³	1	2	yes	—
431	C₁₉×#117	C₂³	1	4	yes	—
432	C₁₉×#117	C₂³	1	8	yes	—
433	C₁₉×#117	C₂³	1	4	yes	—
434	C₁₉×#117	C₂³	1	4	yes	—
435	C₁₉×#117	C₂³	1	4	yes	—
436	C₁₉×#117	C₂³	1	8	yes	—
437	C₁₉×#117	C₂³	1	8	yes	—
438	C₁₉×#117	C₂³	1	8	yes	—
439	C₁₉×#117	C₂³	1	8	yes	—
440	C₁₉×#117	C₂³	1	8	yes	—
441	C₁₉×#117	C₂³	1	8	yes	—
442	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
443	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
444	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
445	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
446	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
447	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
448	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
449	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
450	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
451	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
452	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
453	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
454	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
456	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
457	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
459	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
460	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
461	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
462	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
463	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
464	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
465	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
466	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
467	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
468	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
469	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
470	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
472	#41×C₁₉	—	2	8	no	—
473	#41×C₁₉	—	8	4	no	—
474	#41×C₁₉	—	8	8	no	—
475	C₂×Q₈×C₁₉	—	2	4	no	—
476	C₂×Q₈×C₁₉	—	8	2	no	—
477	C₂×Q₈×C₁₉	—	8	4	no	—
478	C₂×Q₈×C₁₉	—	8	8	no	—
479	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
480	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
481	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
482	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
483	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
484	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
485	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
486	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
487	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
488	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
489	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
490	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
491	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
492	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
493	C₂×D₄×C₁₉	—	2	4	no	—
494	C₂×D₄×C₁₉	—	8	2	no	—
495	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
496	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
497	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
498	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
499	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
500	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
501	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
502	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
503	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
504	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
505	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₁₉	—	2	4	no	—
507	C₂²×C₄×C₁₉	—	8	2	no	—
508	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
509	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
521	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
522	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
523	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
524	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
525	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
526	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
527	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
528	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
529	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
530	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
531	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
532	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
533	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
534	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
535	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
536	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
537	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
538	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
539	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
540	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
541	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
542	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
543	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
544	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
545	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
546	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
547	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
548	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
549	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
550	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
551	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
552	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
553	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
554	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
555	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
556	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
557	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
558	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
559	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
560	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
561	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
562	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
563	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
564	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
565	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
566	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
567	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
568	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
572	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
573	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
574	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
575	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
576	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
577	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
578	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
579	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
580	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
581	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
583	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
584	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
586	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
587	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
588	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
589	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
590	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
591	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
592	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
593	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
594	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
595	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
596	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
597	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
598	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
599	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
600	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
601	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
602	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
604	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
605	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
606	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
607	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
608	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
609	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
610	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
611	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
612	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
613	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
617	C₄²×C₁₉	C₂⁴	1	2	yes	—
618	C₄²×C₁₉	C₂⁴	1	4	yes	—
619	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
620	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
621	C₄²×C₁₉	C₂⁴	1	4	yes	—
622	C₄²×C₁₉	C₂⁴	1	4	yes	—
623	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
624	C₄²×C₁₉	C₂⁴	1	2	yes	—
625	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
626	C₄²×C₁₉	C₂⁴	1	4	yes	—
627	C₄²×C₁₉	C₂⁴	1	4	yes	—
628	C₄²×C₁₉	C₂⁴	1	4	yes	—
629	C₄²×C₁₉	C₂⁴	1	4	yes	—
630	C₄²×C₁₉	C₂⁴	1	4	yes	—
631	C₄²×C₁₉	C₂⁴	1	4	yes	—
632	C₄²×C₁₉	C₂⁴	1	8	yes	—
633	C₄²×C₁₉	C₂⁴	1	8	yes	—
634	C₄²×C₁₉	C₂⁴	1	8	yes	—
635	C₄²×C₁₉	C₂⁴	1	8	yes	—
636	#62879	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
637	C₂³×C₁₉	—	2	2	no	—
638	C₂³×C₁₉	—	2	4	no	—
639	C₂³×C₁₉	—	4	2	no	—
640	C₂³×C₁₉	—	4	1	no	—
641	C₂³×C₁₉	—	4	1	no	—
642	C₂³×C₁₉	—	4	2	no	—
643	C₂³×C₁₉	C₂⁵	1	2	yes	—
644	C₂³×C₁₉	C₂⁵	1	4	yes	—
645	C₂³×C₁₉	C₂⁵	1	4	yes	—
646	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
647	Q₈×C₁₉	—	2	4	no	—
648	Q₈×C₁₉	—	2	4	no	—
649	Q₈×C₁₉	—	2	4	no	—
650	Q₈×C₁₉	—	4	2	no	—
651	Q₈×C₁₉	—	4	8	no	—
652	Q₈×C₁₉	—	4	8	no	—
653	Q₈×C₁₉	—	4	4	no	—
654	Q₈×C₁₉	—	4	2	no	—
655	Q₈×C₁₉	—	4	8	no	—
656	Q₈×C₁₉	—	4	2	no	—
657	Q₈×C₁₉	—	4	2	no	—
658	Q₈×C₁₉	—	4	4	no	—
659	Q₈×C₁₉	—	4	2	no	—
660	Q₈×C₁₉	—	4	2	no	—
661	D₄×C₁₉	—	2	8	no	—
662	D₄×C₁₉	—	2	4	no	—
663	D₄×C₁₉	—	2	4	no	—
664	D₄×C₁₉	—	2	4	no	—
665	D₄×C₁₉	—	4	8	no	—
666	D₄×C₁₉	—	4	4	no	—
667	D₄×C₁₉	—	4	8	no	—
668	D₄×C₁₉	—	4	2	no	—
669	D₄×C₁₉	—	4	2	no	—
670	D₄×C₁₉	—	4	8	no	—
671	D₄×C₁₉	—	4	4	no	—
672	C₂×C₄×C₁₉	—	2	2	no	—
673	C₂×C₄×C₁₉	—	2	4	no	—
674	C₂×C₄×C₁₉	—	2	4	no	—
675	C₂×C₄×C₁₉	—	2	4	no	—
676	C₂×C₄×C₁₉	—	2	8	no	—
677	C₂×C₄×C₁₉	—	4	1	no	—
678	C₂×C₄×C₁₉	—	4	2	no	—
679	C₂×C₄×C₁₉	—	4	4	no	—
680	C₂×C₄×C₁₉	—	4	4	no	—
681	C₂×C₄×C₁₉	—	4	8	no	—
682	C₂×C₄×C₁₉	—	4	4	no	—
683	C₂×C₄×C₁₉	—	4	1	no	—
684	C₂×C₄×C₁₉	—	4	4	no	—
685	C₂×C₄×C₁₉	—	4	1	no	—
686	C₂×C₄×C₁₉	—	4	2	no	—
687	C₂×C₄×C₁₉	—	4	4	no	—
688	C₂×C₄×C₁₉	—	4	1	no	—
689	C₂×C₄×C₁₉	—	4	8	no	—
690	C₂×C₄×C₁₉	—	4	8	no	—
691	C₂×C₄×C₁₉	—	4	8	no	—
692	C₂×C₄×C₁₉	—	4	4	no	—
693	C₂×C₄×C₁₉	2₋¹⁺⁴	1	4	yes	—
694	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
695	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
696	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
697	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
698	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
699	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
700	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
701	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
702	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
703	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
704	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
705	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
706	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
707	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
708	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
709	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
710	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
711	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
712	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
713	#3565	C₂×C₁₉	1	4	yes	complemented
714	#3565	C₂×C₁₉	1	4	yes	complemented
715	#3564	C₂×C₁₉	1	4	yes	complemented
716	#3561	C₂×C₁₉	1	4	yes	complemented
717	#3557	C₂×C₁₉	1	4	yes	complemented
718	#3555	C₂×C₁₉	1	4	yes	complemented
719	#3554	C₂×C₁₉	1	4	yes	complemented
720	#3552	C₂×C₁₉	1	4	yes	complemented
721	#3550	C₂×C₁₉	1	4	yes	complemented
722	#3544	C₂×C₁₉	1	4	yes	complemented
723	#3538	C₂×C₁₉	1	4	yes	complemented
724	#3535	C₂×C₁₉	1	4	yes	complemented
725	#3510	C₂×C₁₉	1	2	yes	complemented
726	#3507	C₂×C₁₉	1	1	yes	characteristic, complemented
727	#3506	C₂×C₁₉	1	1	yes	characteristic, complemented
728	#3503	C₂×C₁₉	1	2	yes	complemented
729	#3502	C₂×C₁₉	1	1	yes	characteristic, complemented
730	#3501	C₂×C₁₉	1	1	yes	characteristic, complemented
731	#3495	C₂×C₁₉	1	2	yes	complemented
732	#3494	C₂×C₁₉	1	2	yes	complemented
733	#3458	C₂×C₁₉	1	1	yes	characteristic, complemented
734	#3455	C₂×C₁₉	1	1	yes	characteristic, complemented
735	C₂×#542	C₂×C₁₉	1	1	yes	characteristic, complemented
736	C₂²×C₁₉	—	2	1	no	—
737	C₂²×C₁₉	—	2	1	no	—
738	C₂²×C₁₉	—	2	2	no	—
739	C₂²×C₁₉	—	2	4	no	—
740	C₂²×C₁₉	—	2	4	no	—
741	C₂²×C₁₉	—	2	4	no	—
742	C₂²×C₁₉	—	2	4	no	—
743	C₂²×C₁₉	—	2	2	no	—
744	C₂²×C₁₉	—	2	2	no	—
745	C₂²×C₁₉	—	2	4	no	—
746	C₂²×C₁₉	—	2	4	no	—
747	C₂²×C₁₉	—	8	2	no	—
748	C₂²×C₁₉	—	8	4	no	—
749	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
750	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
751	C₄×C₁₉	—	2	2	no	—
752	C₄×C₁₉	—	2	4	no	—
753	C₄×C₁₉	—	2	4	no	—
754	C₄×C₁₉	—	2	1	no	—
755	C₄×C₁₉	—	2	1	no	—
756	C₄×C₁₉	—	2	4	no	—
757	C₄×C₁₉	—	2	4	no	—
758	C₄×C₁₉	—	2	4	no	—
759	C₄×C₁₉	—	2	4	no	—
760	C₄×C₁₉	—	2	4	no	—
761	C₄×C₁₉	—	2	2	no	—
762	C₄×C₁₉	—	2	4	no	—
763	C₄×C₁₉	—	2	4	no	—
764	C₄×C₁₉	—	2	2	no	—
765	C₄×C₁₉	—	2	4	no	—
766	C₄×C₁₉	—	2	1	no	—
767	C₄×C₁₉	—	2	1	no	—
768	C₄×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
769	C₄×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
770	#563	C₂²×C₁₉	1	8	yes	complemented
771	#563	C₂²×C₁₉	1	8	yes	complemented
772	#563	C₂²×C₁₉	1	8	yes	complemented
773	#563	C₂²×C₁₉	1	8	yes	complemented
774	#563	C₂²×C₁₉	1	8	yes	complemented
775	#563	C₂²×C₁₉	1	8	yes	complemented
776	#562	C₂²×C₁₉	1	8	yes	complemented
777	#562	C₂²×C₁₉	1	8	yes	complemented
778	#559	C₂²×C₁₉	1	4	yes	complemented
779	#559	C₂²×C₁₉	1	2	yes	complemented
780	#559	C₂²×C₁₉	1	4	yes	complemented
781	#559	C₂²×C₁₉	1	4	yes	complemented
782	Q₈²	C₂²×C₁₉	1	2	yes	complemented
783	Q₈²	C₂²×C₁₉	1	2	yes	complemented
784	Q₈²	C₂²×C₁₉	1	4	yes	complemented
785	#557	C₂²×C₁₉	1	4	yes	complemented
786	#557	C₂²×C₁₉	1	4	yes	complemented
787	#557	C₂²×C₁₉	1	2	yes	complemented
788	#557	C₂²×C₁₉	1	2	yes	complemented
789	#557	C₂²×C₁₉	1	4	yes	complemented
790	#557	C₂²×C₁₉	1	2	yes	complemented
791	#556	C₂²×C₁₉	1	4	yes	complemented
792	#556	C₂²×C₁₉	1	2	yes	complemented
793	#556	C₂²×C₁₉	1	4	yes	complemented
794	#556	C₂²×C₁₉	1	2	yes	complemented
795	#556	C₂²×C₁₉	1	4	yes	complemented
796	#556	C₂²×C₁₉	1	4	yes	complemented
797	#556	C₂²×C₁₉	1	8	yes	complemented
798	#556	C₂²×C₁₉	1	8	yes	complemented
799	#555	C₂²×C₁₉	1	4	yes	—
800	#555	C₂²×C₁₉	1	2	yes	complemented
801	#554	C₂²×C₁₉	1	8	yes	—
802	#554	C₂²×C₁₉	1	4	yes	complemented
803	#554	C₂²×C₁₉	1	4	yes	complemented
804	#554	C₂²×C₁₉	1	4	yes	complemented
805	#554	C₂²×C₁₉	1	2	yes	complemented
806	#554	C₂²×C₁₉	1	2	yes	complemented
807	#554	C₂²×C₁₉	1	4	yes	complemented
808	#554	C₂²×C₁₉	1	2	yes	complemented
809	#553	C₂²×C₁₉	1	4	yes	—
810	#553	C₂²×C₁₉	1	4	yes	—
811	#553	C₂²×C₁₉	1	4	yes	complemented
812	#552	C₂²×C₁₉	1	8	yes	—
813	#552	C₂²×C₁₉	1	4	yes	complemented
814	#552	C₂²×C₁₉	1	4	yes	complemented
815	#552	C₂²×C₁₉	1	4	yes	complemented
816	#552	C₂²×C₁₉	1	8	yes	complemented
817	#552	C₂²×C₁₉	1	8	yes	complemented
818	#552	C₂²×C₁₉	1	8	yes	complemented
819	#551	C₂²×C₁₉	1	8	yes	—
820	#551	C₂²×C₁₉	1	8	yes	—
821	#551	C₂²×C₁₉	1	8	yes	—
822	#551	C₂²×C₁₉	1	8	yes	—
823	#550	C₂²×C₁₉	1	2	yes	complemented
824	D₄×Q₈	C₂²×C₁₉	1	8	yes	—
825	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
826	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
827	D₄×Q₈	C₂²×C₁₉	1	4	yes	complemented
828	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
829	#548	C₂²×C₁₉	1	8	yes	complemented
830	#547	C₂²×C₁₉	1	4	yes	—
831	#547	C₂²×C₁₉	1	2	yes	complemented
832	#547	C₂²×C₁₉	1	8	yes	complemented
833	#546	C₂²×C₁₉	1	8	yes	—
834	#544	C₂²×C₁₉	1	2	yes	—
835	#544	C₂²×C₁₉	1	2	yes	—
836	#544	C₂²×C₁₉	1	2	yes	—
837	#544	C₂²×C₁₉	1	2	yes	—
838	#544	C₂²×C₁₉	1	4	yes	—
839	#544	C₂²×C₁₉	1	2	yes	complemented
840	#544	C₂²×C₁₉	1	2	yes	complemented
841	#544	C₂²×C₁₉	1	2	yes	complemented
842	#544	C₂²×C₁₉	1	2	yes	complemented
843	#544	C₂²×C₁₉	1	4	yes	complemented
844	#544	C₂²×C₁₉	1	4	yes	complemented
845	#544	C₂²×C₁₉	1	8	yes	complemented
846	#543	C₂²×C₁₉	1	2	yes	—
847	#543	C₂²×C₁₉	1	2	yes	—
848	#543	C₂²×C₁₉	1	4	yes	—
849	#542	C₂²×C₁₉	1	4	yes	—
850	#542	C₂²×C₁₉	1	4	yes	—
851	#542	C₂²×C₁₉	1	4	yes	—
852	#542	C₂²×C₁₉	1	4	yes	—
853	#542	C₂²×C₁₉	1	4	yes	—
854	#542	C₂²×C₁₉	1	2	yes	complemented
855	#542	C₂²×C₁₉	1	2	yes	complemented
856	#542	C₂²×C₁₉	1	4	yes	complemented
857	#542	C₂²×C₁₉	1	4	yes	complemented
858	#542	C₂²×C₁₉	1	4	yes	complemented
859	#542	C₂²×C₁₉	1	8	yes	complemented
860	#542	C₂²×C₁₉	1	8	yes	complemented
861	#542	C₂²×C₁₉	1	8	yes	complemented
862	#542	C₂²×C₁₉	1	8	yes	complemented
863	#542	C₂²×C₁₉	1	8	yes	complemented
864	#541	C₂²×C₁₉	1	2	yes	complemented
865	#541	C₂²×C₁₉	1	4	yes	complemented
866	#541	C₂²×C₁₉	1	8	yes	complemented
867	#541	C₂²×C₁₉	1	8	yes	complemented
868	#541	C₂²×C₁₉	1	8	yes	complemented
869	#540	C₂²×C₁₉	1	4	yes	—
870	#540	C₂²×C₁₉	1	2	yes	complemented
871	#539	C₂²×C₁₉	1	2	yes	—
872	#539	C₂²×C₁₉	1	2	yes	—
873	#539	C₂²×C₁₉	1	4	yes	—
874	#539	C₂²×C₁₉	1	8	yes	complemented
875	#539	C₂²×C₁₉	1	8	yes	complemented
876	#539	C₂²×C₁₉	1	8	yes	complemented
877	#539	C₂²×C₁₉	1	8	yes	complemented
878	#538	C₂²×C₁₉	1	2	yes	—
879	#538	C₂²×C₁₉	1	2	yes	—
880	#538	C₂²×C₁₉	1	4	yes	—
881	#536	C₂²×C₁₉	1	2	yes	—
882	#536	C₂²×C₁₉	1	8	yes	complemented
883	#536	C₂²×C₁₉	1	8	yes	complemented
884	#536	C₂²×C₁₉	1	8	yes	complemented
885	#535	C₂²×C₁₉	1	2	yes	—
886	#533	C₂²×C₁₉	1	1	yes	characteristic
887	#533	C₂²×C₁₉	1	1	yes	characteristic
888	#533	C₂²×C₁₉	1	1	yes	characteristic
889	#533	C₂²×C₁₉	1	2	yes	—
890	#533	C₂²×C₁₉	1	4	yes	—
891	#533	C₂²×C₁₉	1	4	yes	complemented
892	#533	C₂²×C₁₉	1	4	yes	complemented
893	#533	C₂²×C₁₉	1	4	yes	complemented
894	#533	C₂²×C₁₉	1	4	yes	complemented
895	#532	C₂²×C₁₉	1	1	yes	characteristic
896	#532	C₂²×C₁₉	1	4	yes	—
897	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
898	C₂×C₄⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
899	#529	C₂²×C₁₉	1	4	yes	—
900	#529	C₂²×C₁₉	1	4	yes	—
901	#529	C₂²×C₁₉	1	4	yes	complemented
902	#529	C₂²×C₁₉	1	4	yes	complemented
903	#529	C₂²×C₁₉	1	4	yes	complemented
904	#529	C₂²×C₁₉	1	4	yes	complemented
905	#529	C₂²×C₁₉	1	4	yes	complemented
906	C₂×#126	C₂²×C₁₉	1	2	yes	—
907	C₂×#124	C₂²×C₁₉	1	1	yes	characteristic
908	C₂×#124	C₂²×C₁₉	1	2	yes	—
909	#525	C₂²×C₁₉	1	2	yes	—
910	#525	C₂²×C₁₉	1	4	yes	—
911	C₂×#123	C₂²×C₁₉	1	2	yes	—
912	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
913	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
914	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	—
915	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
916	#520	C₂²×C₁₉	1	2	yes	—
917	#520	C₂²×C₁₉	1	2	yes	—
918	#519	C₂²×C₁₉	1	2	yes	—
919	#518	C₂²×C₁₉	1	2	yes	—
920	C₄×#41	C₂²×C₁₉	1	2	yes	—
921	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
922	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
923	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
924	C₂×#117	C₂²×C₁₉	1	2	yes	—
925	C₂×C₁₉	—	2	2	no	—
926	C₂×C₁₉	—	4	4	no	—
927	C₂×C₁₉	—	4	2	no	—
928	C₂×C₁₉	—	4	4	no	—
929	C₂×C₁₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
930	C₂×C₁₉	H(7,𝔽₂)	1	1	yes	characteristic
931	C₂×C₁₉	2₋¹⁺⁶	1	1	yes	characteristic
932	C₂×#41	C₂³×C₁₉	1	2	yes	—
933	C₂×#41	C₂³×C₁₉	1	4	yes	—
934	C₂×#41	C₂³×C₁₉	1	8	yes	—
935	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
936	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
937	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
938	C₂²×Q₈	C₂³×C₁₉	1	8	yes	—
939	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
940	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
941	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
942	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
943	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
944	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
945	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
946	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
947	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
948	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
949	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
950	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
951	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
952	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
953	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
954	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
955	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
956	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
957	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
958	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
959	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
960	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
961	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
962	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
963	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
964	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
965	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
966	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
967	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
968	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
969	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
970	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
971	#127	C₂³×C₁₉	1	4	yes	—
972	#127	C₂³×C₁₉	1	1	yes	characteristic
973	#126	C₂³×C₁₉	1	8	yes	—
974	#126	C₂³×C₁₉	1	8	yes	—
975	#126	C₂³×C₁₉	1	8	yes	—
976	#126	C₂³×C₁₉	1	8	yes	—
977	#126	C₂³×C₁₉	1	4	yes	—
978	#126	C₂³×C₁₉	1	4	yes	—
979	#126	C₂³×C₁₉	1	4	yes	—
980	#126	C₂³×C₁₉	1	4	yes	—
981	#126	C₂³×C₁₉	1	8	yes	—
982	#126	C₂³×C₁₉	1	8	yes	—
983	#126	C₂³×C₁₉	1	8	yes	—
984	#126	C₂³×C₁₉	1	8	yes	—
985	#126	C₂³×C₁₉	1	8	yes	—
986	#126	C₂³×C₁₉	1	8	yes	—
987	#126	C₂³×C₁₉	1	8	yes	—
988	#126	C₂³×C₁₉	1	8	yes	—
989	#126	C₂³×C₁₉	1	8	yes	—
990	#126	C₂³×C₁₉	1	8	yes	—
991	#126	C₂³×C₁₉	1	8	yes	—
992	#125	C₂³×C₁₉	1	4	yes	—
993	#125	C₂³×C₁₉	1	4	yes	—
994	#125	C₂³×C₁₉	1	2	yes	—
995	#125	C₂³×C₁₉	1	2	yes	—
996	#125	C₂³×C₁₉	1	4	yes	—
997	#125	C₂³×C₁₉	1	4	yes	—
998	#125	C₂³×C₁₉	1	4	yes	—
999	#125	C₂³×C₁₉	1	8	yes	—
1000	#125	C₂³×C₁₉	1	2	yes	—
1001	#125	C₂³×C₁₉	1	2	yes	—
1002	#125	C₂³×C₁₉	1	2	yes	—
1003	#125	C₂³×C₁₉	1	4	yes	—
1004	#125	C₂³×C₁₉	1	4	yes	—
1005	#125	C₂³×C₁₉	1	8	yes	—
1006	#125	C₂³×C₁₉	1	4	yes	—
1007	#125	C₂³×C₁₉	1	4	yes	—
1008	#125	C₂³×C₁₉	1	4	yes	—
1009	#125	C₂³×C₁₉	1	4	yes	—
1010	#125	C₂³×C₁₉	1	8	yes	—
1011	#125	C₂³×C₁₉	1	8	yes	—
1012	#125	C₂³×C₁₉	1	8	yes	—
1013	#125	C₂³×C₁₉	1	8	yes	—
1014	#125	C₂³×C₁₉	1	8	yes	—
1015	#125	C₂³×C₁₉	1	8	yes	—
1016	#125	C₂³×C₁₉	1	8	yes	—
1017	#124	C₂³×C₁₉	1	4	yes	—
1018	#124	C₂³×C₁₉	1	8	yes	—
1019	#124	C₂³×C₁₉	1	8	yes	—
1020	#124	C₂³×C₁₉	1	4	yes	—
1021	#124	C₂³×C₁₉	1	4	yes	—
1022	#124	C₂³×C₁₉	1	4	yes	—
1023	#124	C₂³×C₁₉	1	4	yes	—
1024	#124	C₂³×C₁₉	1	4	yes	—
1025	#124	C₂³×C₁₉	1	4	yes	—
1026	#124	C₂³×C₁₉	1	8	yes	—
1027	#124	C₂³×C₁₉	1	2	yes	—
1028	#124	C₂³×C₁₉	1	8	yes	—
1029	#124	C₂³×C₁₉	1	8	yes	—
1030	#124	C₂³×C₁₉	1	8	yes	—
1031	#124	C₂³×C₁₉	1	8	yes	—
1032	#124	C₂³×C₁₉	1	8	yes	—
1033	#123	C₂³×C₁₉	1	8	yes	—
1034	#123	C₂³×C₁₉	1	8	yes	—
1035	#123	C₂³×C₁₉	1	8	yes	—
1036	#123	C₂³×C₁₉	1	4	yes	—
1037	#123	C₂³×C₁₉	1	8	yes	—
1038	#123	C₂³×C₁₉	1	8	yes	—
1039	#123	C₂³×C₁₉	1	4	yes	—
1040	#123	C₂³×C₁₉	1	4	yes	—
1041	#123	C₂³×C₁₉	1	8	yes	—
1042	#123	C₂³×C₁₉	1	4	yes	—
1043	#123	C₂³×C₁₉	1	4	yes	—
1044	#123	C₂³×C₁₉	1	8	yes	—
1045	#123	C₂³×C₁₉	1	8	yes	—
1046	#123	C₂³×C₁₉	1	8	yes	—
1047	#123	C₂³×C₁₉	1	8	yes	—
1048	#123	C₂³×C₁₉	1	8	yes	—
1049	#123	C₂³×C₁₉	1	8	yes	—
1050	#123	C₂³×C₁₉	1	8	yes	—
1051	#123	C₂³×C₁₉	1	8	yes	—
1052	#123	C₂³×C₁₉	1	8	yes	—
1053	#123	C₂³×C₁₉	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1055	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1056	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1057	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1058	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1060	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1062	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1063	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1064	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1065	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1066	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1067	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1068	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1069	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1071	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1072	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1073	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1074	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1075	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1076	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1077	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1078	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1079	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1080	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1081	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1082	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1085	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1086	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1087	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1088	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
1089	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1090	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1091	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1092	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1093	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1094	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1095	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1096	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1097	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1098	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1099	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1100	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1101	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1102	#121	C₂³×C₁₉	1	4	yes	—
1103	#121	C₂³×C₁₉	1	4	yes	—
1104	#121	C₂³×C₁₉	1	2	yes	—
1105	#121	C₂³×C₁₉	1	2	yes	—
1106	#121	C₂³×C₁₉	1	2	yes	—
1107	#121	C₂³×C₁₉	1	4	yes	—
1108	#121	C₂³×C₁₉	1	2	yes	—
1109	#121	C₂³×C₁₉	1	4	yes	—
1110	#121	C₂³×C₁₉	1	4	yes	—
1111	#121	C₂³×C₁₉	1	4	yes	—
1112	#121	C₂³×C₁₉	1	4	yes	—
1113	#121	C₂³×C₁₉	1	8	yes	—
1114	#121	C₂³×C₁₉	1	8	yes	—
1115	#121	C₂³×C₁₉	1	8	yes	—
1116	#121	C₂³×C₁₉	1	8	yes	—
1117	#120	C₂³×C₁₉	1	8	yes	—
1118	#120	C₂³×C₁₉	1	4	yes	—
1119	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1120	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1121	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1122	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1123	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1124	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1125	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1126	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1127	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1128	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1129	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1130	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1131	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1132	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1133	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1134	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1135	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1136	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1137	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1138	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1139	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1140	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1141	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1142	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1143	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1144	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1145	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1146	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1147	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1148	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1149	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1150	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1151	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1152	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1153	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1154	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1155	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1156	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1157	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1158	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1159	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1160	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1161	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1162	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1163	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1164	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1165	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1166	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1167	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1168	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1169	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1170	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1171	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1172	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1173	#117	C₂³×C₁₉	1	2	yes	—
1174	#117	C₂³×C₁₉	1	2	yes	—
1175	#117	C₂³×C₁₉	1	2	yes	—
1176	#117	C₂³×C₁₉	1	2	yes	—
1177	#117	C₂³×C₁₉	1	4	yes	—
1178	#117	C₂³×C₁₉	1	2	yes	—
1179	#117	C₂³×C₁₉	1	2	yes	—
1180	#117	C₂³×C₁₉	1	4	yes	—
1181	#117	C₂³×C₁₉	1	2	yes	—
1182	#117	C₂³×C₁₉	1	2	yes	—
1183	#117	C₂³×C₁₉	1	2	yes	—
1184	#117	C₂³×C₁₉	1	4	yes	—
1185	#117	C₂³×C₁₉	1	8	yes	—
1186	#117	C₂³×C₁₉	1	4	yes	—
1187	#117	C₂³×C₁₉	1	4	yes	—
1188	#117	C₂³×C₁₉	1	4	yes	—
1189	#117	C₂³×C₁₉	1	8	yes	—
1190	#117	C₂³×C₁₉	1	8	yes	—
1191	#117	C₂³×C₁₉	1	8	yes	—
1192	#117	C₂³×C₁₉	1	8	yes	—
1193	#117	C₂³×C₁₉	1	8	yes	—
1194	#117	C₂³×C₁₉	1	8	yes	—
1195	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1196	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1197	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1198	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1199	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1200	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1201	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1202	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1203	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1204	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1205	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1206	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1207	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1208	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1209	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1212	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1213	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1214	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1215	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1216	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1217	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1218	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1219	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1220	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
1221	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1222	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
1223	C₁₉	#62879	1	1	yes	characteristic, direct product factor, Sylow
1224	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1225	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
1226	#41	—	2	8	no	—
1227	#41	—	8	4	no	—
1228	#41	—	8	8	no	—
1229	C₂×Q₈	—	2	4	no	—
1230	C₂×Q₈	—	8	2	no	—
1231	C₂×Q₈	—	8	4	no	—
1232	C₂×Q₈	—	8	8	no	—
1233	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1234	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1235	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1236	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1237	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1238	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1239	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1240	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1241	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1242	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1243	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1244	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1245	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1246	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1247	C₂×D₄	—	2	4	no	—
1248	C₂×D₄	—	8	2	no	—
1249	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1250	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1251	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1252	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1253	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1254	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1255	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1256	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1257	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1258	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1259	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1260	C₂²×C₄	—	2	4	no	—
1261	C₂²×C₄	—	8	2	no	—
1262	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1263	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1264	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1265	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1267	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1271	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1273	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1276	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1277	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1278	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1279	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1280	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1281	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1282	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1283	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1284	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1285	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1286	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1287	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1288	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1289	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1290	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1291	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1292	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1293	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1294	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1295	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1296	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1297	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1298	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1299	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1301	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1302	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1304	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1305	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1306	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1307	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1308	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1309	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1311	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1313	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1314	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1315	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1316	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1320	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1321	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1322	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1323	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1324	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1325	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1326	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1327	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1328	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1329	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1330	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1331	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1332	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1333	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1334	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1335	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1336	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1337	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1338	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1339	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1340	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1341	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1343	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1344	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1345	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1346	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1347	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1348	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1349	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1352	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1353	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1354	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1358	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1359	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1362	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1363	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1364	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1365	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1366	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1367	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1368	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1369	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1370	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1371	C₄²	C₂⁴×C₁₉	1	2	yes	—
1372	C₄²	C₂⁴×C₁₉	1	4	yes	—
1373	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1374	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1375	C₄²	C₂⁴×C₁₉	1	4	yes	—
1376	C₄²	C₂⁴×C₁₉	1	4	yes	—
1377	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1378	C₄²	C₂⁴×C₁₉	1	2	yes	—
1379	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1380	C₄²	C₂⁴×C₁₉	1	4	yes	—
1381	C₄²	C₂⁴×C₁₉	1	4	yes	—
1382	C₄²	C₂⁴×C₁₉	1	4	yes	—
1383	C₄²	C₂⁴×C₁₉	1	4	yes	—
1384	C₄²	C₂⁴×C₁₉	1	4	yes	—
1385	C₄²	C₂⁴×C₁₉	1	4	yes	—
1386	C₄²	C₂⁴×C₁₉	1	8	yes	—
1387	C₄²	C₂⁴×C₁₉	1	8	yes	—
1388	C₄²	C₂⁴×C₁₉	1	8	yes	—
1389	C₄²	C₂⁴×C₁₉	1	8	yes	—
1390	C₂³	—	2	2	no	—
1391	C₂³	—	2	4	no	—
1392	C₂³	—	4	2	no	—
1393	C₂³	—	4	1	no	—
1394	C₂³	—	4	1	no	—
1395	C₂³	—	4	2	no	—
1396	C₂³	C₂⁵×C₁₉	1	2	yes	—
1397	C₂³	C₂⁵×C₁₉	1	4	yes	—
1398	C₂³	C₂⁵×C₁₉	1	4	yes	—
1399	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
1400	Q₈	—	2	4	no	—
1401	Q₈	—	2	4	no	—
1402	Q₈	—	2	4	no	—
1403	Q₈	—	4	2	no	—
1404	Q₈	—	4	8	no	—
1405	Q₈	—	4	8	no	—
1406	Q₈	—	4	4	no	—
1407	Q₈	—	4	2	no	—
1408	Q₈	—	4	8	no	—
1409	Q₈	—	4	2	no	—
1410	Q₈	—	4	2	no	—
1411	Q₈	—	4	2	no	—
1412	Q₈	—	4	4	no	—
1413	Q₈	—	4	2	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	2	4	no	—
1418	D₄	—	4	8	no	—
1419	D₄	—	4	2	no	—
1420	D₄	—	4	8	no	—
1421	D₄	—	4	4	no	—
1422	D₄	—	4	4	no	—
1423	D₄	—	4	8	no	—
1424	D₄	—	4	2	no	—
1425	C₂×C₄	—	2	2	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	4	no	—
1429	C₂×C₄	—	2	8	no	—
1430	C₂×C₄	—	4	1	no	—
1431	C₂×C₄	—	4	2	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	2	no	—
1435	C₂×C₄	—	4	4	no	—
1436	C₂×C₄	—	4	1	no	—
1437	C₂×C₄	—	4	8	no	—
1438	C₂×C₄	—	4	8	no	—
1439	C₂×C₄	—	4	8	no	—
1440	C₂×C₄	—	4	4	no	—
1441	C₂×C₄	—	4	8	no	—
1442	C₂×C₄	—	4	4	no	—
1443	C₂×C₄	—	4	1	no	—
1444	C₂×C₄	—	4	4	no	—
1445	C₂×C₄	—	4	1	no	—
1446	C₂×C₄	C₁₉×2₋¹⁺⁴	1	4	yes	—
1447	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1448	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1449	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1450	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1451	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1452	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1453	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1454	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1455	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1456	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1457	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1458	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1459	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1460	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1461	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1462	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1463	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1464	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1465	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	2	4	no	—
1472	C₂²	—	2	4	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	4	no	—
1476	C₂²	—	2	4	no	—
1477	C₂²	—	8	2	no	—
1478	C₂²	—	8	4	no	—
1479	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
1480	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	4	no	—
1484	C₄	—	2	1	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	4	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	4	no	—
1493	C₄	—	2	4	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	4	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
1499	C₄	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
1500	C₂	—	2	2	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	4	4	no	—
1503	C₂	—	4	4	no	—
1504	C₂	C₂²×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
1505	C₂	C₁₉×H(7,𝔽₂)	1	1	yes	characteristic
1506	C₂	C₁₉×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3565	C₂	semidirect
2. C₁₉×#3565	C₂	semidirect
3. C₁₉×#3564	C₂	semidirect
4. C₁₉×#3561	C₂	semidirect
5. C₁₉×#3557	C₂	semidirect
6. C₁₉×#3555	C₂	semidirect
7. C₁₉×#3554	C₂	semidirect
8. C₁₉×#3552	C₂	semidirect
9. C₁₉×#3550	C₂	semidirect
10. C₁₉×#3544	C₂	semidirect
11. C₁₉×#3538	C₂	semidirect
12. C₁₉×#3535	C₂	semidirect
13. C₁₉×#3510	C₂	semidirect
14. C₁₉×#3507	C₂	semidirect
15. C₁₉×#3506	C₂	semidirect
16. C₁₉×#3503	C₂	semidirect
17. C₁₉×#3502	C₂	semidirect
18. C₁₉×#3501	C₂	semidirect
19. C₁₉×#3495	C₂	semidirect
20. C₁₉×#3494	C₂	semidirect
21. C₁₉×#3458	C₂	semidirect
22. C₁₉×#3455	C₂	semidirect
23. C₂×C₁₉×#542	C₂	semidirect
24. C₁₉×#563	C₂²	semidirect
25. C₁₉×#563	C₂²	semidirect
26. C₁₉×#563	C₂²	semidirect
27. C₁₉×#563	C₂²	semidirect
28. C₁₉×#563	C₂²	semidirect
29. C₁₉×#563	C₂²	semidirect
30. C₁₉×#562	C₂²	semidirect
31. C₁₉×#562	C₂²	semidirect
32. C₁₉×#559	C₂²	semidirect
33. C₁₉×#559	C₂²	semidirect
34. C₁₉×#559	C₂²	semidirect
35. C₁₉×#559	C₂²	semidirect
36. Q₈²×C₁₉	C₂²	semidirect
37. Q₈²×C₁₉	C₂²	semidirect
38. Q₈²×C₁₉	C₂²	semidirect
39. C₁₉×#557	C₂²	semidirect
40. C₁₉×#557	C₂²	semidirect
41. C₁₉×#557	C₂²	semidirect
42. C₁₉×#557	C₂²	semidirect
43. C₁₉×#557	C₂²	semidirect
44. C₁₉×#557	C₂²	semidirect
45. C₁₉×#556	C₂²	semidirect
46. C₁₉×#556	C₂²	semidirect
47. C₁₉×#556	C₂²	semidirect
48. C₁₉×#556	C₂²	semidirect
49. C₁₉×#556	C₂²	semidirect
50. C₁₉×#556	C₂²	semidirect
51. C₁₉×#556	C₂²	semidirect
52. C₁₉×#556	C₂²	semidirect
54. C₁₉×#555	C₂²	semidirect
56. C₁₉×#554	C₂²	semidirect
57. C₁₉×#554	C₂²	semidirect
58. C₁₉×#554	C₂²	semidirect
59. C₁₉×#554	C₂²	semidirect
60. C₁₉×#554	C₂²	semidirect
61. C₁₉×#554	C₂²	semidirect
62. C₁₉×#554	C₂²	semidirect
65. C₁₉×#553	C₂²	semidirect
67. C₁₉×#552	C₂²	semidirect
68. C₁₉×#552	C₂²	semidirect
69. C₁₉×#552	C₂²	semidirect
70. C₁₉×#552	C₂²	semidirect
71. C₁₉×#552	C₂²	semidirect
72. C₁₉×#552	C₂²	semidirect
77. C₁₉×#550	C₂²	semidirect
79. D₄×Q₈×C₁₉	C₂²	semidirect
80. D₄×Q₈×C₁₉	C₂²	semidirect
81. D₄×Q₈×C₁₉	C₂²	semidirect
82. D₄×Q₈×C₁₉	C₂²	semidirect
83. C₁₉×#548	C₂²	semidirect
85. C₁₉×#547	C₂²	semidirect
86. C₁₉×#547	C₂²	semidirect
93. C₁₉×#544	C₂²	semidirect
94. C₁₉×#544	C₂²	semidirect
95. C₁₉×#544	C₂²	semidirect
96. C₁₉×#544	C₂²	semidirect
97. C₁₉×#544	C₂²	semidirect
98. C₁₉×#544	C₂²	semidirect
99. C₁₉×#544	C₂²	semidirect
108. C₁₉×#542	C₂²	semidirect
109. C₁₉×#542	C₂²	semidirect
110. C₁₉×#542	C₂²	semidirect
111. C₁₉×#542	C₂²	semidirect
112. C₁₉×#542	C₂²	semidirect
113. C₁₉×#542	C₂²	semidirect
114. C₁₉×#542	C₂²	semidirect
115. C₁₉×#542	C₂²	semidirect
116. C₁₉×#542	C₂²	semidirect
117. C₁₉×#542	C₂²	semidirect
118. C₁₉×#541	C₂²	semidirect
119. C₁₉×#541	C₂²	semidirect
120. C₁₉×#541	C₂²	semidirect
121. C₁₉×#541	C₂²	semidirect
122. C₁₉×#541	C₂²	semidirect
124. C₁₉×#540	C₂²	semidirect
128. C₁₉×#539	C₂²	semidirect
129. C₁₉×#539	C₂²	semidirect
130. C₁₉×#539	C₂²	semidirect
131. C₁₉×#539	C₂²	semidirect
136. C₁₉×#536	C₂²	semidirect
137. C₁₉×#536	C₂²	semidirect
138. C₁₉×#536	C₂²	semidirect
145. C₁₉×#533	C₂²	semidirect
146. C₁₉×#533	C₂²	semidirect
147. C₁₉×#533	C₂²	semidirect
148. C₁₉×#533	C₂²	semidirect
152. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
155. C₁₉×#529	C₂²	semidirect
156. C₁₉×#529	C₂²	semidirect
157. C₁₉×#529	C₂²	semidirect
158. C₁₉×#529	C₂²	semidirect
159. C₁₉×#529	C₂²	semidirect
636. #62879	C₁₉	direct (N × H)
713. #3565	C₂×C₁₉	semidirect
714. #3565	C₂×C₁₉	semidirect
715. #3564	C₂×C₁₉	semidirect
716. #3561	C₂×C₁₉	semidirect
717. #3557	C₂×C₁₉	semidirect
718. #3555	C₂×C₁₉	semidirect
719. #3554	C₂×C₁₉	semidirect
720. #3552	C₂×C₁₉	semidirect
721. #3550	C₂×C₁₉	semidirect
722. #3544	C₂×C₁₉	semidirect
723. #3538	C₂×C₁₉	semidirect
724. #3535	C₂×C₁₉	semidirect
725. #3510	C₂×C₁₉	semidirect
726. #3507	C₂×C₁₉	semidirect
727. #3506	C₂×C₁₉	semidirect
728. #3503	C₂×C₁₉	semidirect
729. #3502	C₂×C₁₉	semidirect
730. #3501	C₂×C₁₉	semidirect
731. #3495	C₂×C₁₉	semidirect
732. #3494	C₂×C₁₉	semidirect
733. #3458	C₂×C₁₉	semidirect
734. #3455	C₂×C₁₉	semidirect
735. C₂×#542	C₂×C₁₉	semidirect
770. #563	C₂²×C₁₉	semidirect
771. #563	C₂²×C₁₉	semidirect
772. #563	C₂²×C₁₉	semidirect
773. #563	C₂²×C₁₉	semidirect
774. #563	C₂²×C₁₉	semidirect
775. #563	C₂²×C₁₉	semidirect
776. #562	C₂²×C₁₉	semidirect
777. #562	C₂²×C₁₉	semidirect
778. #559	C₂²×C₁₉	semidirect
779. #559	C₂²×C₁₉	semidirect
780. #559	C₂²×C₁₉	semidirect
781. #559	C₂²×C₁₉	semidirect
782. Q₈²	C₂²×C₁₉	semidirect
783. Q₈²	C₂²×C₁₉	semidirect
784. Q₈²	C₂²×C₁₉	semidirect
785. #557	C₂²×C₁₉	semidirect
786. #557	C₂²×C₁₉	semidirect
787. #557	C₂²×C₁₉	semidirect
788. #557	C₂²×C₁₉	semidirect
789. #557	C₂²×C₁₉	semidirect
790. #557	C₂²×C₁₉	semidirect
791. #556	C₂²×C₁₉	semidirect
792. #556	C₂²×C₁₉	semidirect
793. #556	C₂²×C₁₉	semidirect
794. #556	C₂²×C₁₉	semidirect
795. #556	C₂²×C₁₉	semidirect
796. #556	C₂²×C₁₉	semidirect
797. #556	C₂²×C₁₉	semidirect
798. #556	C₂²×C₁₉	semidirect
800. #555	C₂²×C₁₉	semidirect
802. #554	C₂²×C₁₉	semidirect
803. #554	C₂²×C₁₉	semidirect
804. #554	C₂²×C₁₉	semidirect
805. #554	C₂²×C₁₉	semidirect
806. #554	C₂²×C₁₉	semidirect
807. #554	C₂²×C₁₉	semidirect
808. #554	C₂²×C₁₉	semidirect
811. #553	C₂²×C₁₉	semidirect
813. #552	C₂²×C₁₉	semidirect
814. #552	C₂²×C₁₉	semidirect
815. #552	C₂²×C₁₉	semidirect
816. #552	C₂²×C₁₉	semidirect
817. #552	C₂²×C₁₉	semidirect
818. #552	C₂²×C₁₉	semidirect
823. #550	C₂²×C₁₉	semidirect
825. D₄×Q₈	C₂²×C₁₉	semidirect
826. D₄×Q₈	C₂²×C₁₉	semidirect
827. D₄×Q₈	C₂²×C₁₉	semidirect
828. D₄×Q₈	C₂²×C₁₉	semidirect
829. #548	C₂²×C₁₉	semidirect
831. #547	C₂²×C₁₉	semidirect
832. #547	C₂²×C₁₉	semidirect
839. #544	C₂²×C₁₉	semidirect
840. #544	C₂²×C₁₉	semidirect
841. #544	C₂²×C₁₉	semidirect
842. #544	C₂²×C₁₉	semidirect
843. #544	C₂²×C₁₉	semidirect
844. #544	C₂²×C₁₉	semidirect
845. #544	C₂²×C₁₉	semidirect
854. #542	C₂²×C₁₉	semidirect
855. #542	C₂²×C₁₉	semidirect
856. #542	C₂²×C₁₉	semidirect
857. #542	C₂²×C₁₉	semidirect
858. #542	C₂²×C₁₉	semidirect
859. #542	C₂²×C₁₉	semidirect
860. #542	C₂²×C₁₉	semidirect
861. #542	C₂²×C₁₉	semidirect
862. #542	C₂²×C₁₉	semidirect
863. #542	C₂²×C₁₉	semidirect
864. #541	C₂²×C₁₉	semidirect
865. #541	C₂²×C₁₉	semidirect
866. #541	C₂²×C₁₉	semidirect
867. #541	C₂²×C₁₉	semidirect
868. #541	C₂²×C₁₉	semidirect
870. #540	C₂²×C₁₉	semidirect
874. #539	C₂²×C₁₉	semidirect
875. #539	C₂²×C₁₉	semidirect
876. #539	C₂²×C₁₉	semidirect
877. #539	C₂²×C₁₉	semidirect
882. #536	C₂²×C₁₉	semidirect
883. #536	C₂²×C₁₉	semidirect
884. #536	C₂²×C₁₉	semidirect
891. #533	C₂²×C₁₉	semidirect
892. #533	C₂²×C₁₉	semidirect
893. #533	C₂²×C₁₉	semidirect
894. #533	C₂²×C₁₉	semidirect
898. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
901. #529	C₂²×C₁₉	semidirect
902. #529	C₂²×C₁₉	semidirect
903. #529	C₂²×C₁₉	semidirect
904. #529	C₂²×C₁₉	semidirect
905. #529	C₂²×C₁₉	semidirect
1223. C₁₉	#62879	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×#3565	2
C₁₉×#3564	2
C₁₉×#3561	2
C₁₉×#3557	2
C₁₉×#3555	2
C₁₉×#3554	2
C₁₉×#3552	2
C₁₉×#3550	2
C₁₉×#3544	2
C₁₉×#3538	2
C₁₉×#3535	2
C₁₉×#3510	2
C₁₉×#3507	2
C₁₉×#3506	2
C₁₉×#3503	2
C₁₉×#3502	2
C₁₉×#3501	2
C₁₉×#3495	2
C₁₉×#3494	2
C₁₉×#3458	2
C₁₉×#3455	2
C₂×C₁₉×#542	2
#62879	19

Subgroups — C19×#62879 #18068838

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62879 #18068838