Subgroups — C₁₉×#62902 #18068861

Order 4864.

6590 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3564	C₂	1	4	yes	maximal, complemented
2	C₁₉×#3563	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3553	C₂	1	8	yes	maximal, complemented
4	C₁₉×#3552	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3541	C₂	1	4	yes	maximal, complemented
6	C₁₉×#3541	C₂	1	8	yes	maximal, complemented
7	C₁₉×#3536	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3535	C₂	1	4	yes	maximal, complemented
9	C₁₉×#3520	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3516	C₂	1	4	yes	maximal, complemented
11	C₁₉×#3505	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3505	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3501	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3495	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3492	C₂	1	4	yes	maximal, complemented
17	C₂×C₁₉×#554	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₉×#553	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3459	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3459	C₂	1	2	yes	maximal, complemented
21	C₁₉×#564	C₂²	1	4	yes	complemented
22	C₁₉×#563	C₂²	1	8	yes	complemented
23	C₁₉×#563	C₂²	1	4	yes	complemented
24	C₁₉×#563	C₂²	1	8	yes	complemented
25	C₁₉×#563	C₂²	1	8	yes	complemented
26	C₁₉×#562	C₂²	1	8	yes	complemented
27	C₁₉×#562	C₂²	1	8	yes	complemented
28	C₁₉×#557	C₂²	1	4	yes	complemented
29	C₁₉×#556	C₂²	1	4	yes	complemented
30	C₁₉×#556	C₂²	1	2	yes	complemented
31	C₁₉×#556	C₂²	1	8	yes	complemented
32	C₁₉×#554	C₂²	1	4	yes	complemented
33	C₁₉×#554	C₂²	1	4	yes	complemented
34	C₁₉×#554	C₂²	1	8	yes	complemented
35	C₁₉×#554	C₂²	1	4	yes	complemented
36	C₁₉×#554	C₂²	1	4	yes	complemented
37	C₁₉×#554	C₂²	1	8	yes	complemented
38	C₁₉×#554	C₂²	1	4	yes	complemented
39	C₁₉×#554	C₂²	1	8	yes	complemented
40	C₁₉×#554	C₂²	1	8	yes	complemented
41	C₁₉×#554	C₂²	1	8	yes	complemented
42	C₁₉×#554	C₂²	1	8	yes	complemented
43	C₁₉×#553	C₂²	1	4	yes	complemented
44	C₁₉×#553	C₂²	1	4	yes	complemented
45	C₁₉×#553	C₂²	1	8	yes	complemented
46	C₁₉×#553	C₂²	1	4	yes	complemented
47	C₁₉×#553	C₂²	1	8	yes	complemented
48	C₁₉×#553	C₂²	1	8	yes	complemented
49	C₁₉×#553	C₂²	1	8	yes	complemented
50	C₁₉×#553	C₂²	1	8	yes	complemented
51	C₁₉×#552	C₂²	1	4	yes	complemented
52	C₁₉×#552	C₂²	1	4	yes	complemented
53	C₁₉×#552	C₂²	1	8	yes	complemented
54	C₁₉×#552	C₂²	1	4	yes	complemented
55	C₁₉×#552	C₂²	1	8	yes	complemented
56	C₁₉×#552	C₂²	1	8	yes	complemented
57	C₁₉×#552	C₂²	1	8	yes	complemented
58	C₁₉×#552	C₂²	1	4	yes	complemented
59	C₁₉×#551	C₂²	1	8	yes	complemented
60	C₁₉×#551	C₂²	1	8	yes	complemented
61	C₁₉×#551	C₂²	1	8	yes	complemented
62	D₄×Q₈×C₁₉	C₂²	1	4	yes	complemented
63	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
64	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
65	C₁₉×#548	C₂²	1	4	yes	complemented
66	C₁₉×#548	C₂²	1	8	yes	complemented
67	C₁₉×#548	C₂²	1	4	yes	complemented
68	C₁₉×#548	C₂²	1	4	yes	complemented
69	C₁₉×#547	C₂²	1	2	yes	complemented
70	C₁₉×#547	C₂²	1	8	yes	complemented
71	C₁₉×#547	C₂²	1	4	yes	complemented
72	C₁₉×#547	C₂²	1	2	yes	complemented
73	C₁₉×#546	C₂²	1	4	yes	complemented
74	C₁₉×#546	C₂²	1	8	yes	complemented
75	C₁₉×#544	C₂²	1	4	yes	complemented
76	C₁₉×#544	C₂²	1	2	yes	complemented
77	C₁₉×#544	C₂²	1	4	yes	complemented
78	C₁₉×#544	C₂²	1	2	yes	complemented
79	C₁₉×#543	C₂²	1	1	yes	characteristic
80	C₁₉×#543	C₂²	1	2	yes	—
81	C₁₉×#543	C₂²	1	2	yes	complemented
82	C₁₉×#543	C₂²	1	4	yes	complemented
83	C₁₉×#542	C₂²	1	4	yes	complemented
84	C₁₉×#542	C₂²	1	8	yes	complemented
85	C₁₉×#542	C₂²	1	4	yes	complemented
86	C₁₉×#542	C₂²	1	4	yes	complemented
87	C₁₉×#542	C₂²	1	8	yes	complemented
88	C₁₉×#541	C₂²	1	4	yes	complemented
89	C₁₉×#541	C₂²	1	4	yes	complemented
90	C₁₉×#541	C₂²	1	8	yes	complemented
91	C₁₉×#541	C₂²	1	8	yes	complemented
92	C₁₉×#541	C₂²	1	8	yes	complemented
93	C₁₉×#539	C₂²	1	4	yes	—
94	C₁₉×#539	C₂²	1	2	yes	—
95	C₁₉×#539	C₂²	1	8	yes	complemented
96	C₁₉×#539	C₂²	1	4	yes	complemented
97	C₁₉×#539	C₂²	1	8	yes	complemented
98	C₁₉×#539	C₂²	1	8	yes	complemented
99	C₁₉×#539	C₂²	1	8	yes	complemented
100	C₁₉×#539	C₂²	1	4	yes	complemented
101	C₁₉×#539	C₂²	1	8	yes	complemented
102	C₁₉×#539	C₂²	1	8	yes	complemented
103	C₁₉×#539	C₂²	1	4	yes	complemented
104	C₁₉×#538	C₂²	1	2	yes	—
105	C₁₉×#538	C₂²	1	4	yes	—
106	C₁₉×#538	C₂²	1	8	yes	complemented
107	C₁₉×#538	C₂²	1	4	yes	complemented
108	C₁₉×#538	C₂²	1	4	yes	complemented
109	C₁₉×#538	C₂²	1	8	yes	complemented
110	C₁₉×#537	C₂²	1	4	yes	complemented
111	C₁₉×#537	C₂²	1	4	yes	complemented
112	C₁₉×#536	C₂²	1	2	yes	complemented
113	C₁₉×#536	C₂²	1	8	yes	complemented
114	C₁₉×#534	C₂²	1	1	yes	characteristic
115	C₁₉×#534	C₂²	1	4	yes	—
116	C₁₉×#534	C₂²	1	2	yes	—
117	C₁₉×#533	C₂²	1	4	yes	complemented
118	C₁₉×#533	C₂²	1	2	yes	complemented
119	C₂×C₁₉×C₄⋊Q₈	C₂²	1	2	yes	complemented
120	C₁₉×#529	C₂²	1	4	yes	—
121	C₁₉×#529	C₂²	1	2	yes	—
122	C₁₉×#529	C₂²	1	4	yes	complemented
123	C₁₉×#529	C₂²	1	8	yes	complemented
124	C₁₉×#529	C₂²	1	4	yes	complemented
125	C₁₉×#529	C₂²	1	8	yes	complemented
126	C₂×C₁₉×#126	C₂²	1	2	yes	complemented
127	C₂×C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₁₉×#125	C₂²	1	4	yes	complemented
129	C₁₉×#525	C₂²	1	2	yes	—
130	C₁₉×#525	C₂²	1	4	yes	—
131	C₁₉×#525	C₂²	1	4	yes	complemented
132	C₁₉×#525	C₂²	1	8	yes	complemented
133	C₁₉×#525	C₂²	1	4	yes	complemented
134	C₁₉×#525	C₂²	1	8	yes	complemented
135	C₂×C₁₉×#123	C₂²	1	2	yes	complemented
136	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	—
137	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	—
138	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	complemented
139	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
140	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
141	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	complemented
142	C₂×C₁₉×#121	C₂²	1	2	yes	—
143	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
144	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
145	C₁₉×#520	C₂²	1	2	yes	complemented
146	C₁₉×#520	C₂²	1	4	yes	complemented
147	C₁₉×#519	C₂²	1	2	yes	complemented
148	C₁₉×#518	C₂²	1	2	yes	—
149	C₁₉×#518	C₂²	1	4	yes	—
150	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
151	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	—
152	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
153	C₂×C₄×D₄×C₁₉	C₂²	1	4	yes	—
154	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	—
155	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
157	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
158	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	complemented
159	C₂×#41×C₁₉	C₂³	1	2	yes	—
160	C₂×#41×C₁₉	C₂³	1	4	yes	—
161	C₂×#41×C₁₉	C₂³	1	4	yes	—
162	C₂×#41×C₁₉	C₂³	1	8	yes	—
163	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
164	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
165	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
166	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
167	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
168	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
169	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
171	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
172	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
174	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
175	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
176	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
177	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
178	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
179	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
180	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
181	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
182	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
183	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
184	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
186	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
187	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
188	C₁₉×#126	C₂³	1	8	yes	—
189	C₁₉×#126	C₂³	1	8	yes	—
190	C₁₉×#126	C₂³	1	4	yes	—
191	C₁₉×#126	C₂³	1	8	yes	—
192	C₁₉×#126	C₂³	1	8	yes	—
193	C₁₉×#126	C₂³	1	4	yes	—
194	C₁₉×#126	C₂³	1	8	yes	—
195	C₁₉×#126	C₂³	1	4	yes	—
196	C₁₉×#126	C₂³	1	8	yes	—
197	C₁₉×#126	C₂³	1	8	yes	—
198	C₁₉×#126	C₂³	1	8	yes	—
199	C₁₉×#126	C₂³	1	8	yes	—
200	C₁₉×#126	C₂³	1	8	yes	—
201	C₁₉×#126	C₂³	1	8	yes	—
202	C₁₉×#126	C₂³	1	8	yes	—
203	C₁₉×#126	C₂³	1	8	yes	—
204	C₁₉×#126	C₂³	1	8	yes	—
205	C₁₉×#125	C₂³	1	8	yes	—
206	C₁₉×#125	C₂³	1	8	yes	—
207	C₁₉×#125	C₂³	1	8	yes	—
208	C₁₉×#125	C₂³	1	8	yes	—
209	C₁₉×#125	C₂³	1	4	yes	—
210	C₁₉×#125	C₂³	1	4	yes	—
211	C₁₉×#125	C₂³	1	4	yes	—
212	C₁₉×#125	C₂³	1	2	yes	—
213	C₁₉×#125	C₂³	1	4	yes	—
214	C₁₉×#125	C₂³	1	8	yes	—
215	C₁₉×#125	C₂³	1	8	yes	—
216	C₁₉×#125	C₂³	1	4	yes	—
217	C₁₉×#125	C₂³	1	4	yes	—
218	C₁₉×#125	C₂³	1	8	yes	—
219	C₁₉×#125	C₂³	1	8	yes	—
220	C₁₉×#125	C₂³	1	8	yes	—
221	C₁₉×#125	C₂³	1	8	yes	—
222	C₁₉×#125	C₂³	1	8	yes	—
223	C₁₉×#125	C₂³	1	8	yes	—
224	C₁₉×#125	C₂³	1	8	yes	—
225	C₁₉×#124	C₂³	1	4	yes	—
226	C₁₉×#124	C₂³	1	2	yes	—
227	C₁₉×#124	C₂³	1	4	yes	—
228	C₁₉×#124	C₂³	1	8	yes	—
229	C₁₉×#124	C₂³	1	4	yes	—
230	C₁₉×#124	C₂³	1	8	yes	—
231	C₁₉×#124	C₂³	1	8	yes	—
232	C₁₉×#124	C₂³	1	8	yes	—
233	C₁₉×#124	C₂³	1	8	yes	—
234	C₁₉×#123	C₂³	1	8	yes	—
235	C₁₉×#123	C₂³	1	8	yes	—
236	C₁₉×#123	C₂³	1	8	yes	—
237	C₁₉×#123	C₂³	1	4	yes	—
238	C₁₉×#123	C₂³	1	4	yes	—
239	C₁₉×#123	C₂³	1	8	yes	—
240	C₁₉×#123	C₂³	1	4	yes	—
241	C₁₉×#123	C₂³	1	8	yes	—
242	C₁₉×#123	C₂³	1	8	yes	—
243	C₁₉×#123	C₂³	1	8	yes	—
244	C₁₉×#123	C₂³	1	8	yes	—
245	C₁₉×#123	C₂³	1	4	yes	—
246	C₁₉×#123	C₂³	1	8	yes	—
247	C₁₉×#123	C₂³	1	4	yes	—
248	C₁₉×#123	C₂³	1	4	yes	—
249	C₁₉×#123	C₂³	1	8	yes	—
250	C₁₉×#123	C₂³	1	8	yes	—
251	C₁₉×#123	C₂³	1	8	yes	—
252	C₁₉×#123	C₂³	1	8	yes	—
253	C₁₉×#123	C₂³	1	8	yes	—
254	C₁₉×#123	C₂³	1	8	yes	—
255	C₁₉×#123	C₂³	1	8	yes	—
256	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
260	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
262	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
263	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
264	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
266	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
268	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
269	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
271	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
274	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
275	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
276	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
277	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
279	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
280	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
281	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
283	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
286	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
287	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
292	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
293	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
295	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
296	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
297	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₁₉×#121	C₂³	1	4	yes	—
300	C₁₉×#121	C₂³	1	8	yes	—
301	C₁₉×#121	C₂³	1	8	yes	—
302	C₁₉×#121	C₂³	1	4	yes	—
303	C₁₉×#121	C₂³	1	4	yes	—
304	C₁₉×#121	C₂³	1	4	yes	—
305	C₁₉×#121	C₂³	1	2	yes	—
306	C₁₉×#121	C₂³	1	2	yes	—
307	C₁₉×#121	C₂³	1	2	yes	—
308	C₁₉×#121	C₂³	1	4	yes	—
309	C₁₉×#121	C₂³	1	8	yes	—
310	C₁₉×#121	C₂³	1	4	yes	—
311	C₁₉×#121	C₂³	1	8	yes	—
312	C₁₉×#121	C₂³	1	8	yes	—
313	C₁₉×#121	C₂³	1	4	yes	—
314	C₁₉×#121	C₂³	1	4	yes	—
315	C₁₉×#121	C₂³	1	4	yes	—
316	C₁₉×#121	C₂³	1	8	yes	—
317	C₁₉×#121	C₂³	1	8	yes	—
318	C₁₉×#121	C₂³	1	8	yes	—
319	C₁₉×#121	C₂³	1	8	yes	—
320	C₁₉×#120	C₂³	1	4	yes	—
321	C₁₉×#120	C₂³	1	8	yes	—
322	C₁₉×#120	C₂³	1	4	yes	—
323	C₁₉×#120	C₂³	1	4	yes	—
324	C₁₉×#120	C₂³	1	8	yes	—
325	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
326	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
327	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
328	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
329	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
330	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
331	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
332	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
333	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
334	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
335	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
336	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
337	C₄×D₄×C₁₉	C₂³	1	4	yes	—
338	C₄×D₄×C₁₉	C₂³	1	8	yes	—
339	C₄×D₄×C₁₉	C₂³	1	4	yes	—
340	C₄×D₄×C₁₉	C₂³	1	4	yes	—
341	C₄×D₄×C₁₉	C₂³	1	8	yes	—
342	C₄×D₄×C₁₉	C₂³	1	8	yes	—
343	C₄×D₄×C₁₉	C₂³	1	8	yes	—
344	C₄×D₄×C₁₉	C₂³	1	4	yes	—
345	C₄×D₄×C₁₉	C₂³	1	8	yes	—
346	C₄×D₄×C₁₉	C₂³	1	8	yes	—
347	C₄×D₄×C₁₉	C₂³	1	4	yes	—
348	C₄×D₄×C₁₉	C₂³	1	4	yes	—
349	C₄×D₄×C₁₉	C₂³	1	2	yes	—
350	C₄×D₄×C₁₉	C₂³	1	4	yes	—
351	C₄×D₄×C₁₉	C₂³	1	2	yes	—
352	C₄×D₄×C₁₉	C₂³	1	8	yes	—
353	C₄×D₄×C₁₉	C₂³	1	8	yes	—
354	C₄×D₄×C₁₉	C₂³	1	8	yes	—
355	C₄×D₄×C₁₉	C₂³	1	8	yes	—
356	C₄×D₄×C₁₉	C₂³	1	8	yes	—
357	C₄×D₄×C₁₉	C₂³	1	8	yes	—
358	C₄×D₄×C₁₉	C₂³	1	8	yes	—
359	C₄×D₄×C₁₉	C₂³	1	4	yes	—
360	C₄×D₄×C₁₉	C₂³	1	8	yes	—
361	C₄×D₄×C₁₉	C₂³	1	8	yes	—
362	C₄×D₄×C₁₉	C₂³	1	4	yes	—
363	C₄×D₄×C₁₉	C₂³	1	4	yes	—
364	C₄×D₄×C₁₉	C₂³	1	2	yes	—
365	C₄×D₄×C₁₉	C₂³	1	8	yes	—
366	C₄×D₄×C₁₉	C₂³	1	8	yes	—
367	C₁₉×#117	C₂³	1	2	yes	—
368	C₁₉×#117	C₂³	1	2	yes	—
369	C₁₉×#117	C₂³	1	4	yes	—
370	C₁₉×#117	C₂³	1	8	yes	—
371	C₁₉×#117	C₂³	1	4	yes	—
372	C₁₉×#117	C₂³	1	2	yes	—
373	C₁₉×#117	C₂³	1	8	yes	—
374	C₁₉×#117	C₂³	1	4	yes	—
375	C₁₉×#117	C₂³	1	4	yes	—
376	C₁₉×#117	C₂³	1	8	yes	—
377	C₁₉×#117	C₂³	1	4	yes	—
378	C₁₉×#117	C₂³	1	8	yes	—
379	C₁₉×#117	C₂³	1	8	yes	—
380	C₁₉×#117	C₂³	1	8	yes	—
381	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
382	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
385	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
386	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
387	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
388	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
389	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
390	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
391	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
392	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
394	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
395	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
396	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
398	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
399	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
400	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
401	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
402	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
403	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
404	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
405	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
406	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
407	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
408	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
409	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
410	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
411	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
412	C₂×C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
413	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
414	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
415	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
416	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
417	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
418	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
419	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
420	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
421	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
422	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
423	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
424	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
425	#41×C₁₉	—	4	4	no	—
426	#41×C₁₉	—	4	8	no	—
427	#41×C₁₉	—	8	4	no	—
428	#41×C₁₉	—	8	8	no	—
429	C₂×Q₈×C₁₉	—	4	4	no	—
430	C₂×Q₈×C₁₉	—	4	4	no	—
431	C₂×Q₈×C₁₉	—	8	4	no	—
432	C₂×Q₈×C₁₉	—	8	4	no	—
433	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
434	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
435	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
436	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
437	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
438	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
439	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
440	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
441	C₂×D₄×C₁₉	—	2	8	no	—
442	C₂×D₄×C₁₉	—	2	8	no	—
443	C₂×D₄×C₁₉	—	2	4	no	—
444	C₂×D₄×C₁₉	—	4	2	no	—
445	C₂×D₄×C₁₉	—	8	2	no	—
446	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
447	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
448	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
449	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
450	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
451	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
452	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
453	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
454	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
455	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
456	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
457	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
458	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
459	C₂²×C₄×C₁₉	—	4	2	no	—
460	C₂²×C₄×C₁₉	—	4	2	no	—
461	C₂²×C₄×C₁₉	—	4	4	no	—
462	C₂²×C₄×C₁₉	—	8	2	no	—
463	C₂²×C₄×C₁₉	—	8	2	no	—
464	C₂²×C₄×C₁₉	—	8	4	no	—
465	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
466	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
472	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
474	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
475	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
476	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
480	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
482	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
485	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
488	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
490	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
495	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
496	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
497	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
498	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
499	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
500	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
501	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
502	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
503	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
504	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
505	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
506	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
507	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
508	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
509	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
510	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
511	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
512	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
513	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
514	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
515	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
516	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
519	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
523	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
524	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
525	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
526	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
527	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
528	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
529	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
530	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
531	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
532	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
533	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
534	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
535	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
536	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
537	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
538	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
539	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
540	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
541	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
542	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
543	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
545	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
546	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
547	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
548	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
549	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
550	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
551	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
552	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
553	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
554	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
555	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
556	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
557	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
558	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
559	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
560	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
561	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
562	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
563	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
564	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
565	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
567	C₄²×C₁₉	C₂⁴	1	4	yes	—
568	C₄²×C₁₉	C₂⁴	1	8	yes	—
569	C₄²×C₁₉	C₂⁴	1	2	yes	—
570	C₄²×C₁₉	C₂⁴	1	4	yes	—
571	C₄²×C₁₉	C₂⁴	1	4	yes	—
572	C₄²×C₁₉	C₂⁴	1	4	yes	—
573	C₄²×C₁₉	C₂⁴	1	2	yes	—
574	C₄²×C₁₉	C₂⁴	1	8	yes	—
575	C₄²×C₁₉	C₂⁴	1	8	yes	—
576	C₄²×C₁₉	C₂⁴	1	8	yes	—
577	C₄²×C₁₉	C₂⁴	1	8	yes	—
578	#62902	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
579	C₂³×C₁₉	—	2	4	no	—
580	C₂³×C₁₉	—	2	2	no	—
581	C₂³×C₁₉	—	2	4	no	—
582	C₂³×C₁₉	—	4	1	no	—
583	C₂³×C₁₉	—	4	2	no	—
584	C₂³×C₁₉	—	4	1	no	—
585	C₂³×C₁₉	—	4	2	no	—
586	C₂³×C₁₉	—	4	1	no	—
587	C₂³×C₁₉	—	4	2	no	—
588	C₂³×C₁₉	—	4	2	no	—
589	C₂³×C₁₉	—	4	1	no	—
590	C₂³×C₁₉	2₋¹⁺⁴	1	4	yes	—
591	C₂³×C₁₉	C₂⁵	1	2	yes	—
592	C₂³×C₁₉	C₂⁵	1	4	yes	—
593	C₂³×C₁₉	C₂⁵	1	4	yes	—
594	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
595	C₂³×C₁₉	C₂⁵	1	2	yes	—
596	Q₈×C₁₉	—	2	8	no	—
597	Q₈×C₁₉	—	4	4	no	—
598	Q₈×C₁₉	—	4	4	no	—
599	Q₈×C₁₉	—	4	8	no	—
600	Q₈×C₁₉	—	4	2	no	—
601	Q₈×C₁₉	—	4	8	no	—
602	Q₈×C₁₉	—	4	4	no	—
603	Q₈×C₁₉	—	4	2	no	—
604	D₄×C₁₉	—	2	8	no	—
605	D₄×C₁₉	—	2	8	no	—
606	D₄×C₁₉	—	2	8	no	—
607	D₄×C₁₉	—	2	16	no	—
608	D₄×C₁₉	—	2	4	no	—
609	D₄×C₁₉	—	4	2	no	—
610	D₄×C₁₉	—	4	8	no	—
611	D₄×C₁₉	—	4	4	no	—
612	D₄×C₁₉	—	4	2	no	—
613	D₄×C₁₉	—	4	8	no	—
614	D₄×C₁₉	—	4	2	no	—
615	D₄×C₁₉	—	4	8	no	—
616	D₄×C₁₉	—	4	4	no	—
617	C₂×C₄×C₁₉	—	2	4	no	—
618	C₂×C₄×C₁₉	—	2	2	no	—
619	C₂×C₄×C₁₉	—	2	4	no	—
620	C₂×C₄×C₁₉	—	2	2	no	—
621	C₂×C₄×C₁₉	—	2	4	no	—
622	C₂×C₄×C₁₉	—	2	4	no	—
623	C₂×C₄×C₁₉	—	2	8	no	—
624	C₂×C₄×C₁₉	—	4	2	no	—
625	C₂×C₄×C₁₉	—	4	2	no	—
626	C₂×C₄×C₁₉	—	4	2	no	—
627	C₂×C₄×C₁₉	—	4	4	no	—
628	C₂×C₄×C₁₉	—	4	1	no	—
629	C₂×C₄×C₁₉	—	4	1	no	—
630	C₂×C₄×C₁₉	—	4	4	no	—
631	C₂×C₄×C₁₉	—	4	2	no	—
632	C₂×C₄×C₁₉	—	4	1	no	—
633	C₂×C₄×C₁₉	—	4	2	no	—
634	C₂×C₄×C₁₉	—	4	4	no	—
635	C₂×C₄×C₁₉	—	4	4	no	—
636	C₂×C₄×C₁₉	—	4	4	no	—
637	C₂×C₄×C₁₉	—	4	4	no	—
638	C₂×C₄×C₁₉	—	4	8	no	—
639	C₂×C₄×C₁₉	—	4	8	no	—
640	C₂×C₄×C₁₉	—	4	4	no	—
641	C₂×C₄×C₁₉	—	4	4	no	—
642	C₂×C₄×C₁₉	—	4	2	no	—
643	C₂×C₄×C₁₉	—	4	8	no	—
644	C₂×C₄×C₁₉	—	4	8	no	—
645	C₂×C₄×C₁₉	—	4	4	no	—
646	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
647	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
648	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
649	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
650	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
651	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
652	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
653	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
654	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
655	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
656	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
657	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
658	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
659	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
660	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
661	#3564	C₂×C₁₉	1	4	yes	complemented
662	#3563	C₂×C₁₉	1	2	yes	complemented
663	#3553	C₂×C₁₉	1	8	yes	complemented
664	#3552	C₂×C₁₉	1	4	yes	complemented
665	#3541	C₂×C₁₉	1	4	yes	complemented
666	#3541	C₂×C₁₉	1	8	yes	complemented
667	#3536	C₂×C₁₉	1	2	yes	complemented
668	#3535	C₂×C₁₉	1	4	yes	complemented
669	#3520	C₂×C₁₉	1	2	yes	complemented
670	#3516	C₂×C₁₉	1	4	yes	complemented
671	#3505	C₂×C₁₉	1	2	yes	complemented
672	#3505	C₂×C₁₉	1	4	yes	complemented
673	#3501	C₂×C₁₉	1	1	yes	characteristic, complemented
674	#3501	C₂×C₁₉	1	2	yes	complemented
675	#3495	C₂×C₁₉	1	2	yes	complemented
676	#3492	C₂×C₁₉	1	4	yes	complemented
677	C₂×#554	C₂×C₁₉	1	2	yes	complemented
678	C₂×#553	C₂×C₁₉	1	1	yes	characteristic, complemented
679	#3459	C₂×C₁₉	1	1	yes	characteristic, complemented
680	#3459	C₂×C₁₉	1	2	yes	complemented
681	C₂²×C₁₉	—	2	2	no	—
682	C₂²×C₁₉	—	2	1	no	—
683	C₂²×C₁₉	—	2	2	no	—
684	C₂²×C₁₉	—	2	1	no	—
685	C₂²×C₁₉	—	2	4	no	—
686	C₂²×C₁₉	—	2	2	no	—
687	C₂²×C₁₉	—	2	4	no	—
688	C₂²×C₁₉	—	2	2	no	—
689	C₂²×C₁₉	—	2	4	no	—
690	C₂²×C₁₉	—	2	4	no	—
691	C₂²×C₁₉	—	2	4	no	—
692	C₂²×C₁₉	—	2	4	no	—
693	C₂²×C₁₉	—	2	2	no	—
694	C₂²×C₁₉	—	4	4	no	—
695	C₂²×C₁₉	—	4	8	no	—
696	C₂²×C₁₉	—	8	2	no	—
697	C₂²×C₁₉	—	8	4	no	—
698	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
699	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	4	yes	—
700	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
701	C₄×C₁₉	—	2	4	no	—
702	C₄×C₁₉	—	2	2	no	—
703	C₄×C₁₉	—	2	4	no	—
704	C₄×C₁₉	—	2	1	no	—
705	C₄×C₁₉	—	2	4	no	—
706	C₄×C₁₉	—	2	2	no	—
707	C₄×C₁₉	—	2	2	no	—
708	C₄×C₁₉	—	2	8	no	—
709	C₄×C₁₉	—	2	2	no	—
710	C₄×C₁₉	—	2	4	no	—
711	C₄×C₁₉	—	2	2	no	—
712	C₄×C₁₉	—	2	8	no	—
713	C₄×C₁₉	—	2	2	no	—
714	C₄×C₁₉	—	2	4	no	—
715	C₄×C₁₉	#585	1	2	yes	—
716	#564	C₂²×C₁₉	1	4	yes	complemented
717	#563	C₂²×C₁₉	1	8	yes	complemented
718	#563	C₂²×C₁₉	1	4	yes	complemented
719	#563	C₂²×C₁₉	1	8	yes	complemented
720	#563	C₂²×C₁₉	1	8	yes	complemented
721	#562	C₂²×C₁₉	1	8	yes	complemented
722	#562	C₂²×C₁₉	1	8	yes	complemented
723	#557	C₂²×C₁₉	1	4	yes	complemented
724	#556	C₂²×C₁₉	1	4	yes	complemented
725	#556	C₂²×C₁₉	1	2	yes	complemented
726	#556	C₂²×C₁₉	1	8	yes	complemented
727	#554	C₂²×C₁₉	1	4	yes	complemented
728	#554	C₂²×C₁₉	1	4	yes	complemented
729	#554	C₂²×C₁₉	1	8	yes	complemented
730	#554	C₂²×C₁₉	1	4	yes	complemented
731	#554	C₂²×C₁₉	1	4	yes	complemented
732	#554	C₂²×C₁₉	1	8	yes	complemented
733	#554	C₂²×C₁₉	1	4	yes	complemented
734	#554	C₂²×C₁₉	1	8	yes	complemented
735	#554	C₂²×C₁₉	1	8	yes	complemented
736	#554	C₂²×C₁₉	1	8	yes	complemented
737	#554	C₂²×C₁₉	1	8	yes	complemented
738	#553	C₂²×C₁₉	1	4	yes	complemented
739	#553	C₂²×C₁₉	1	4	yes	complemented
740	#553	C₂²×C₁₉	1	8	yes	complemented
741	#553	C₂²×C₁₉	1	4	yes	complemented
742	#553	C₂²×C₁₉	1	8	yes	complemented
743	#553	C₂²×C₁₉	1	8	yes	complemented
744	#553	C₂²×C₁₉	1	8	yes	complemented
745	#553	C₂²×C₁₉	1	8	yes	complemented
746	#552	C₂²×C₁₉	1	4	yes	complemented
747	#552	C₂²×C₁₉	1	4	yes	complemented
748	#552	C₂²×C₁₉	1	8	yes	complemented
749	#552	C₂²×C₁₉	1	4	yes	complemented
750	#552	C₂²×C₁₉	1	8	yes	complemented
751	#552	C₂²×C₁₉	1	8	yes	complemented
752	#552	C₂²×C₁₉	1	8	yes	complemented
753	#552	C₂²×C₁₉	1	4	yes	complemented
754	#551	C₂²×C₁₉	1	8	yes	complemented
755	#551	C₂²×C₁₉	1	8	yes	complemented
756	#551	C₂²×C₁₉	1	8	yes	complemented
757	D₄×Q₈	C₂²×C₁₉	1	4	yes	complemented
758	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
759	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
760	#548	C₂²×C₁₉	1	4	yes	complemented
761	#548	C₂²×C₁₉	1	8	yes	complemented
762	#548	C₂²×C₁₉	1	4	yes	complemented
763	#548	C₂²×C₁₉	1	4	yes	complemented
764	#547	C₂²×C₁₉	1	2	yes	complemented
765	#547	C₂²×C₁₉	1	8	yes	complemented
766	#547	C₂²×C₁₉	1	4	yes	complemented
767	#547	C₂²×C₁₉	1	2	yes	complemented
768	#546	C₂²×C₁₉	1	4	yes	complemented
769	#546	C₂²×C₁₉	1	8	yes	complemented
770	#544	C₂²×C₁₉	1	4	yes	complemented
771	#544	C₂²×C₁₉	1	2	yes	complemented
772	#544	C₂²×C₁₉	1	4	yes	complemented
773	#544	C₂²×C₁₉	1	2	yes	complemented
774	#543	C₂²×C₁₉	1	1	yes	characteristic
775	#543	C₂²×C₁₉	1	2	yes	—
776	#543	C₂²×C₁₉	1	2	yes	complemented
777	#543	C₂²×C₁₉	1	4	yes	complemented
778	#542	C₂²×C₁₉	1	4	yes	complemented
779	#542	C₂²×C₁₉	1	8	yes	complemented
780	#542	C₂²×C₁₉	1	4	yes	complemented
781	#542	C₂²×C₁₉	1	4	yes	complemented
782	#542	C₂²×C₁₉	1	8	yes	complemented
783	#541	C₂²×C₁₉	1	4	yes	complemented
784	#541	C₂²×C₁₉	1	4	yes	complemented
785	#541	C₂²×C₁₉	1	8	yes	complemented
786	#541	C₂²×C₁₉	1	8	yes	complemented
787	#541	C₂²×C₁₉	1	8	yes	complemented
788	#539	C₂²×C₁₉	1	4	yes	—
789	#539	C₂²×C₁₉	1	2	yes	—
790	#539	C₂²×C₁₉	1	8	yes	complemented
791	#539	C₂²×C₁₉	1	4	yes	complemented
792	#539	C₂²×C₁₉	1	8	yes	complemented
793	#539	C₂²×C₁₉	1	8	yes	complemented
794	#539	C₂²×C₁₉	1	8	yes	complemented
795	#539	C₂²×C₁₉	1	4	yes	complemented
796	#539	C₂²×C₁₉	1	8	yes	complemented
797	#539	C₂²×C₁₉	1	8	yes	complemented
798	#539	C₂²×C₁₉	1	4	yes	complemented
799	#538	C₂²×C₁₉	1	2	yes	—
800	#538	C₂²×C₁₉	1	4	yes	—
801	#538	C₂²×C₁₉	1	8	yes	complemented
802	#538	C₂²×C₁₉	1	4	yes	complemented
803	#538	C₂²×C₁₉	1	4	yes	complemented
804	#538	C₂²×C₁₉	1	8	yes	complemented
805	#537	C₂²×C₁₉	1	4	yes	complemented
806	#537	C₂²×C₁₉	1	4	yes	complemented
807	#536	C₂²×C₁₉	1	2	yes	complemented
808	#536	C₂²×C₁₉	1	8	yes	complemented
809	#534	C₂²×C₁₉	1	1	yes	characteristic
810	#534	C₂²×C₁₉	1	4	yes	—
811	#534	C₂²×C₁₉	1	2	yes	—
812	#533	C₂²×C₁₉	1	4	yes	complemented
813	#533	C₂²×C₁₉	1	2	yes	complemented
814	C₂×C₄⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
815	#529	C₂²×C₁₉	1	4	yes	—
816	#529	C₂²×C₁₉	1	2	yes	—
817	#529	C₂²×C₁₉	1	4	yes	complemented
818	#529	C₂²×C₁₉	1	8	yes	complemented
819	#529	C₂²×C₁₉	1	4	yes	complemented
820	#529	C₂²×C₁₉	1	8	yes	complemented
821	C₂×#126	C₂²×C₁₉	1	2	yes	complemented
822	C₂×#125	C₂²×C₁₉	1	1	yes	characteristic, complemented
823	C₂×#125	C₂²×C₁₉	1	4	yes	complemented
824	#525	C₂²×C₁₉	1	2	yes	—
825	#525	C₂²×C₁₉	1	4	yes	—
826	#525	C₂²×C₁₉	1	4	yes	complemented
827	#525	C₂²×C₁₉	1	8	yes	complemented
828	#525	C₂²×C₁₉	1	4	yes	complemented
829	#525	C₂²×C₁₉	1	8	yes	complemented
830	C₂×#123	C₂²×C₁₉	1	2	yes	complemented
831	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	—
832	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	—
833	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
834	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
835	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
836	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
837	C₂×#121	C₂²×C₁₉	1	2	yes	—
838	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
839	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic, complemented
840	#520	C₂²×C₁₉	1	2	yes	complemented
841	#520	C₂²×C₁₉	1	4	yes	complemented
842	#519	C₂²×C₁₉	1	2	yes	complemented
843	#518	C₂²×C₁₉	1	2	yes	—
844	#518	C₂²×C₁₉	1	4	yes	—
845	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
846	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	—
847	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂²×C₁₉	1	4	yes	—
849	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	—
850	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
851	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic, complemented
852	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
853	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	complemented
854	C₂×C₁₉	—	2	4	no	—
855	C₂×C₁₉	—	2	2	no	—
856	C₂×C₁₉	—	4	4	no	—
857	C₂×C₁₉	—	4	2	no	—
858	C₂×C₁₉	—	4	4	no	—
859	C₂×C₁₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
860	C₂×C₁₉	C₂×#585	1	1	yes	characteristic
861	C₂×C₁₉	H(7,𝔽₂)	1	1	yes	characteristic
862	C₂×#41	C₂³×C₁₉	1	2	yes	—
863	C₂×#41	C₂³×C₁₉	1	4	yes	—
864	C₂×#41	C₂³×C₁₉	1	4	yes	—
865	C₂×#41	C₂³×C₁₉	1	8	yes	—
866	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
867	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
868	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
869	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
870	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
871	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
872	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
873	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
874	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
875	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
876	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
877	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
878	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
879	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
880	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
881	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
882	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
883	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
884	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
885	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
886	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
887	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
888	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
889	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
890	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
891	#126	C₂³×C₁₉	1	8	yes	—
892	#126	C₂³×C₁₉	1	8	yes	—
893	#126	C₂³×C₁₉	1	4	yes	—
894	#126	C₂³×C₁₉	1	8	yes	—
895	#126	C₂³×C₁₉	1	8	yes	—
896	#126	C₂³×C₁₉	1	4	yes	—
897	#126	C₂³×C₁₉	1	8	yes	—
898	#126	C₂³×C₁₉	1	4	yes	—
899	#126	C₂³×C₁₉	1	8	yes	—
900	#126	C₂³×C₁₉	1	8	yes	—
901	#126	C₂³×C₁₉	1	8	yes	—
902	#126	C₂³×C₁₉	1	8	yes	—
903	#126	C₂³×C₁₉	1	8	yes	—
904	#126	C₂³×C₁₉	1	8	yes	—
905	#126	C₂³×C₁₉	1	8	yes	—
906	#126	C₂³×C₁₉	1	8	yes	—
907	#126	C₂³×C₁₉	1	8	yes	—
908	#125	C₂³×C₁₉	1	8	yes	—
909	#125	C₂³×C₁₉	1	8	yes	—
910	#125	C₂³×C₁₉	1	8	yes	—
911	#125	C₂³×C₁₉	1	8	yes	—
912	#125	C₂³×C₁₉	1	4	yes	—
913	#125	C₂³×C₁₉	1	4	yes	—
914	#125	C₂³×C₁₉	1	4	yes	—
915	#125	C₂³×C₁₉	1	2	yes	—
916	#125	C₂³×C₁₉	1	4	yes	—
917	#125	C₂³×C₁₉	1	8	yes	—
918	#125	C₂³×C₁₉	1	8	yes	—
919	#125	C₂³×C₁₉	1	4	yes	—
920	#125	C₂³×C₁₉	1	4	yes	—
921	#125	C₂³×C₁₉	1	8	yes	—
922	#125	C₂³×C₁₉	1	8	yes	—
923	#125	C₂³×C₁₉	1	8	yes	—
924	#125	C₂³×C₁₉	1	8	yes	—
925	#125	C₂³×C₁₉	1	8	yes	—
926	#125	C₂³×C₁₉	1	8	yes	—
927	#125	C₂³×C₁₉	1	8	yes	—
928	#124	C₂³×C₁₉	1	4	yes	—
929	#124	C₂³×C₁₉	1	2	yes	—
930	#124	C₂³×C₁₉	1	4	yes	—
931	#124	C₂³×C₁₉	1	8	yes	—
932	#124	C₂³×C₁₉	1	4	yes	—
933	#124	C₂³×C₁₉	1	8	yes	—
934	#124	C₂³×C₁₉	1	8	yes	—
935	#124	C₂³×C₁₉	1	8	yes	—
936	#124	C₂³×C₁₉	1	8	yes	—
937	#123	C₂³×C₁₉	1	8	yes	—
938	#123	C₂³×C₁₉	1	8	yes	—
939	#123	C₂³×C₁₉	1	8	yes	—
940	#123	C₂³×C₁₉	1	4	yes	—
941	#123	C₂³×C₁₉	1	4	yes	—
942	#123	C₂³×C₁₉	1	8	yes	—
943	#123	C₂³×C₁₉	1	4	yes	—
944	#123	C₂³×C₁₉	1	8	yes	—
945	#123	C₂³×C₁₉	1	8	yes	—
946	#123	C₂³×C₁₉	1	8	yes	—
947	#123	C₂³×C₁₉	1	8	yes	—
948	#123	C₂³×C₁₉	1	4	yes	—
949	#123	C₂³×C₁₉	1	8	yes	—
950	#123	C₂³×C₁₉	1	4	yes	—
951	#123	C₂³×C₁₉	1	4	yes	—
952	#123	C₂³×C₁₉	1	8	yes	—
953	#123	C₂³×C₁₉	1	8	yes	—
954	#123	C₂³×C₁₉	1	8	yes	—
955	#123	C₂³×C₁₉	1	8	yes	—
956	#123	C₂³×C₁₉	1	8	yes	—
957	#123	C₂³×C₁₉	1	8	yes	—
958	#123	C₂³×C₁₉	1	8	yes	—
959	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
960	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
961	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
962	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
963	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
964	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
965	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
966	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
967	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
968	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
969	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
970	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
971	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
972	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
973	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
974	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
975	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
976	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
977	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
978	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
979	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
980	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
981	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
982	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
983	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
984	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
985	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
986	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
987	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
988	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
989	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
990	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
991	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
992	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
993	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
994	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
995	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
996	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
997	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
998	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
999	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1000	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1001	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
1002	#121	C₂³×C₁₉	1	4	yes	—
1003	#121	C₂³×C₁₉	1	8	yes	—
1004	#121	C₂³×C₁₉	1	8	yes	—
1005	#121	C₂³×C₁₉	1	4	yes	—
1006	#121	C₂³×C₁₉	1	4	yes	—
1007	#121	C₂³×C₁₉	1	4	yes	—
1008	#121	C₂³×C₁₉	1	2	yes	—
1009	#121	C₂³×C₁₉	1	2	yes	—
1010	#121	C₂³×C₁₉	1	2	yes	—
1011	#121	C₂³×C₁₉	1	4	yes	—
1012	#121	C₂³×C₁₉	1	8	yes	—
1013	#121	C₂³×C₁₉	1	4	yes	—
1014	#121	C₂³×C₁₉	1	8	yes	—
1015	#121	C₂³×C₁₉	1	8	yes	—
1016	#121	C₂³×C₁₉	1	4	yes	—
1017	#121	C₂³×C₁₉	1	4	yes	—
1018	#121	C₂³×C₁₉	1	4	yes	—
1019	#121	C₂³×C₁₉	1	8	yes	—
1020	#121	C₂³×C₁₉	1	8	yes	—
1021	#121	C₂³×C₁₉	1	8	yes	—
1022	#121	C₂³×C₁₉	1	8	yes	—
1023	#120	C₂³×C₁₉	1	4	yes	—
1024	#120	C₂³×C₁₉	1	8	yes	—
1025	#120	C₂³×C₁₉	1	4	yes	—
1026	#120	C₂³×C₁₉	1	4	yes	—
1027	#120	C₂³×C₁₉	1	8	yes	—
1028	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1029	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1030	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1031	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1032	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1033	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1034	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1035	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1036	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1037	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1038	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
1039	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
1040	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1041	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1042	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1043	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1044	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1045	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1046	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1047	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1048	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1049	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1050	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1051	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1052	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1053	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1054	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1055	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1056	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1057	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1058	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1059	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1060	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1061	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1062	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1063	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1064	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1065	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1066	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1067	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1068	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1069	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1070	#117	C₂³×C₁₉	1	2	yes	—
1071	#117	C₂³×C₁₉	1	2	yes	—
1072	#117	C₂³×C₁₉	1	4	yes	—
1073	#117	C₂³×C₁₉	1	8	yes	—
1074	#117	C₂³×C₁₉	1	4	yes	—
1075	#117	C₂³×C₁₉	1	2	yes	—
1076	#117	C₂³×C₁₉	1	8	yes	—
1077	#117	C₂³×C₁₉	1	4	yes	—
1078	#117	C₂³×C₁₉	1	4	yes	—
1079	#117	C₂³×C₁₉	1	8	yes	—
1080	#117	C₂³×C₁₉	1	4	yes	—
1081	#117	C₂³×C₁₉	1	8	yes	—
1082	#117	C₂³×C₁₉	1	8	yes	—
1083	#117	C₂³×C₁₉	1	8	yes	—
1084	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1085	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1088	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1089	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1090	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1091	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1092	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1093	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1094	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1095	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1097	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1098	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1099	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1101	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1102	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1103	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1104	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1105	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1106	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1107	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1108	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1109	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1111	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1112	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1113	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1114	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1115	C₂×C₂²⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1117	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1118	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1119	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
1120	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1121	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
1123	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1124	C₁₉	#62902	1	1	yes	characteristic, direct product factor, Sylow
1125	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1126	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
1127	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
1128	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1129	#41	—	4	4	no	—
1130	#41	—	4	8	no	—
1131	#41	—	8	4	no	—
1132	#41	—	8	8	no	—
1133	C₂×Q₈	—	4	4	no	—
1134	C₂×Q₈	—	4	4	no	—
1135	C₂×Q₈	—	8	4	no	—
1136	C₂×Q₈	—	8	4	no	—
1137	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1138	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1139	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1140	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1141	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1142	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1143	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1144	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1145	C₂×D₄	—	2	8	no	—
1146	C₂×D₄	—	2	8	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	4	2	no	—
1149	C₂×D₄	—	8	2	no	—
1150	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1151	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1152	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1153	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1154	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1155	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1156	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1157	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1158	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1159	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1160	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1161	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1162	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1163	C₂²×C₄	—	4	2	no	—
1164	C₂²×C₄	—	4	2	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	8	2	no	—
1167	C₂²×C₄	—	8	2	no	—
1168	C₂²×C₄	—	8	4	no	—
1169	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1170	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1171	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1173	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1175	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1176	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1178	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1179	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1180	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1182	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1184	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1185	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1186	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1187	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1188	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1189	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1190	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1191	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1192	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1193	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1194	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1195	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1196	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1197	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1198	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1199	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1200	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1201	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1202	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1203	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1204	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1205	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1206	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1207	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1209	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1210	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1211	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1212	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1213	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1214	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1215	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1216	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1217	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1218	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1219	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1220	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1221	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1222	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1223	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1224	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1225	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1226	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1227	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1228	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1229	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1230	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1231	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1232	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1233	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1234	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1235	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1236	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1237	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1238	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1239	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1240	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1241	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1243	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1244	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1247	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1248	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1249	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1250	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1251	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1252	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1253	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1254	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1255	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1256	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1257	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1258	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1259	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1260	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1261	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1262	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1263	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1264	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1265	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1266	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1267	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1268	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1269	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1270	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1271	C₄²	C₂⁴×C₁₉	1	4	yes	—
1272	C₄²	C₂⁴×C₁₉	1	8	yes	—
1273	C₄²	C₂⁴×C₁₉	1	2	yes	—
1274	C₄²	C₂⁴×C₁₉	1	4	yes	—
1275	C₄²	C₂⁴×C₁₉	1	4	yes	—
1276	C₄²	C₂⁴×C₁₉	1	4	yes	—
1277	C₄²	C₂⁴×C₁₉	1	2	yes	—
1278	C₄²	C₂⁴×C₁₉	1	8	yes	—
1279	C₄²	C₂⁴×C₁₉	1	8	yes	—
1280	C₄²	C₂⁴×C₁₉	1	8	yes	—
1281	C₄²	C₂⁴×C₁₉	1	8	yes	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	2	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	1	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	1	no	—
1293	C₂³	C₁₉×2₋¹⁺⁴	1	4	yes	—
1294	C₂³	C₂⁵×C₁₉	1	2	yes	—
1295	C₂³	C₂⁵×C₁₉	1	4	yes	—
1296	C₂³	C₂⁵×C₁₉	1	4	yes	—
1297	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
1298	C₂³	C₂⁵×C₁₉	1	2	yes	—
1299	Q₈	—	2	8	no	—
1300	Q₈	—	4	4	no	—
1301	Q₈	—	4	4	no	—
1302	Q₈	—	4	8	no	—
1303	Q₈	—	4	2	no	—
1304	Q₈	—	4	8	no	—
1305	Q₈	—	4	4	no	—
1306	Q₈	—	4	2	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	8	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	16	no	—
1311	D₄	—	2	4	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	8	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	8	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	4	8	no	—
1319	D₄	—	4	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	8	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	2	no	—
1329	C₂×C₄	—	4	2	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	1	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	4	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	4	8	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	8	no	—
1347	C₂×C₄	—	4	8	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1350	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1351	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1352	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1353	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1354	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
1355	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1356	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1357	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1358	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1359	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1360	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
1361	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1362	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1363	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	4	no	—
1378	C₂²	—	4	8	no	—
1379	C₂²	—	8	2	no	—
1380	C₂²	—	8	4	no	—
1381	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
1382	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	4	yes	—
1383	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
1384	C₄	—	2	4	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	1	no	—
1388	C₄	—	2	4	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	8	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	8	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	4	no	—
1398	C₄	C₁₉×#585	1	2	yes	—
1399	C₂	—	2	4	no	—
1400	C₂	—	2	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	C₂²×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
1405	C₂	C₂×C₁₉×#585	1	1	yes	characteristic
1406	C₂	C₁₉×H(7,𝔽₂)	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×#3564	C₂	semidirect
2. C₁₉×#3563	C₂	semidirect
3. C₁₉×#3553	C₂	semidirect
4. C₁₉×#3552	C₂	semidirect
5. C₁₉×#3541	C₂	semidirect
6. C₁₉×#3541	C₂	semidirect
7. C₁₉×#3536	C₂	semidirect
8. C₁₉×#3535	C₂	semidirect
9. C₁₉×#3520	C₂	semidirect
10. C₁₉×#3516	C₂	semidirect
11. C₁₉×#3505	C₂	semidirect
12. C₁₉×#3505	C₂	semidirect
13. C₁₉×#3501	C₂	semidirect
14. C₁₉×#3501	C₂	semidirect
15. C₁₉×#3495	C₂	semidirect
16. C₁₉×#3492	C₂	semidirect
17. C₂×C₁₉×#554	C₂	semidirect
18. C₂×C₁₉×#553	C₂	semidirect
19. C₁₉×#3459	C₂	semidirect
20. C₁₉×#3459	C₂	semidirect
21. C₁₉×#564	C₂²	semidirect
22. C₁₉×#563	C₂²	semidirect
23. C₁₉×#563	C₂²	semidirect
24. C₁₉×#563	C₂²	semidirect
25. C₁₉×#563	C₂²	semidirect
26. C₁₉×#562	C₂²	semidirect
27. C₁₉×#562	C₂²	semidirect
28. C₁₉×#557	C₂²	semidirect
29. C₁₉×#556	C₂²	semidirect
30. C₁₉×#556	C₂²	semidirect
31. C₁₉×#556	C₂²	semidirect
32. C₁₉×#554	C₂²	semidirect
33. C₁₉×#554	C₂²	semidirect
34. C₁₉×#554	C₂²	semidirect
35. C₁₉×#554	C₂²	semidirect
36. C₁₉×#554	C₂²	semidirect
37. C₁₉×#554	C₂²	semidirect
38. C₁₉×#554	C₂²	semidirect
39. C₁₉×#554	C₂²	semidirect
40. C₁₉×#554	C₂²	semidirect
41. C₁₉×#554	C₂²	semidirect
42. C₁₉×#554	C₂²	semidirect
43. C₁₉×#553	C₂²	semidirect
44. C₁₉×#553	C₂²	semidirect
45. C₁₉×#553	C₂²	semidirect
46. C₁₉×#553	C₂²	semidirect
47. C₁₉×#553	C₂²	semidirect
48. C₁₉×#553	C₂²	semidirect
49. C₁₉×#553	C₂²	semidirect
50. C₁₉×#553	C₂²	semidirect
51. C₁₉×#552	C₂²	semidirect
52. C₁₉×#552	C₂²	semidirect
53. C₁₉×#552	C₂²	semidirect
54. C₁₉×#552	C₂²	semidirect
55. C₁₉×#552	C₂²	semidirect
56. C₁₉×#552	C₂²	semidirect
57. C₁₉×#552	C₂²	semidirect
58. C₁₉×#552	C₂²	semidirect
59. C₁₉×#551	C₂²	semidirect
60. C₁₉×#551	C₂²	semidirect
61. C₁₉×#551	C₂²	semidirect
62. D₄×Q₈×C₁₉	C₂²	semidirect
63. D₄×Q₈×C₁₉	C₂²	semidirect
64. D₄×Q₈×C₁₉	C₂²	semidirect
65. C₁₉×#548	C₂²	semidirect
66. C₁₉×#548	C₂²	semidirect
67. C₁₉×#548	C₂²	semidirect
68. C₁₉×#548	C₂²	semidirect
69. C₁₉×#547	C₂²	semidirect
70. C₁₉×#547	C₂²	semidirect
71. C₁₉×#547	C₂²	semidirect
72. C₁₉×#547	C₂²	semidirect
73. C₁₉×#546	C₂²	semidirect
74. C₁₉×#546	C₂²	semidirect
75. C₁₉×#544	C₂²	semidirect
76. C₁₉×#544	C₂²	semidirect
77. C₁₉×#544	C₂²	semidirect
78. C₁₉×#544	C₂²	semidirect
81. C₁₉×#543	C₂²	semidirect
82. C₁₉×#543	C₂²	semidirect
83. C₁₉×#542	C₂²	semidirect
84. C₁₉×#542	C₂²	semidirect
85. C₁₉×#542	C₂²	semidirect
86. C₁₉×#542	C₂²	semidirect
87. C₁₉×#542	C₂²	semidirect
88. C₁₉×#541	C₂²	semidirect
89. C₁₉×#541	C₂²	semidirect
90. C₁₉×#541	C₂²	semidirect
91. C₁₉×#541	C₂²	semidirect
92. C₁₉×#541	C₂²	semidirect
95. C₁₉×#539	C₂²	semidirect
96. C₁₉×#539	C₂²	semidirect
97. C₁₉×#539	C₂²	semidirect
98. C₁₉×#539	C₂²	semidirect
99. C₁₉×#539	C₂²	semidirect
100. C₁₉×#539	C₂²	semidirect
101. C₁₉×#539	C₂²	semidirect
102. C₁₉×#539	C₂²	semidirect
103. C₁₉×#539	C₂²	semidirect
106. C₁₉×#538	C₂²	semidirect
107. C₁₉×#538	C₂²	semidirect
108. C₁₉×#538	C₂²	semidirect
109. C₁₉×#538	C₂²	semidirect
110. C₁₉×#537	C₂²	semidirect
111. C₁₉×#537	C₂²	semidirect
112. C₁₉×#536	C₂²	semidirect
113. C₁₉×#536	C₂²	semidirect
117. C₁₉×#533	C₂²	semidirect
118. C₁₉×#533	C₂²	semidirect
119. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
122. C₁₉×#529	C₂²	semidirect
123. C₁₉×#529	C₂²	semidirect
124. C₁₉×#529	C₂²	semidirect
125. C₁₉×#529	C₂²	semidirect
126. C₂×C₁₉×#126	C₂²	semidirect
127. C₂×C₁₉×#125	C₂²	semidirect
128. C₂×C₁₉×#125	C₂²	semidirect
131. C₁₉×#525	C₂²	semidirect
132. C₁₉×#525	C₂²	semidirect
133. C₁₉×#525	C₂²	semidirect
134. C₁₉×#525	C₂²	semidirect
135. C₂×C₁₉×#123	C₂²	semidirect
138. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
139. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
140. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
141. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₁₉×#121	C₂²	semidirect
145. C₁₉×#520	C₂²	semidirect
146. C₁₉×#520	C₂²	semidirect
147. C₁₉×#519	C₂²	semidirect
150. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
155. C₂×C₄×D₄×C₁₉	C₂²	semidirect
156. C₂×C₁₉×#117	C₂²	semidirect
158. C₂²×C₄⋊C₄×C₁₉	C₂²	semidirect
578. #62902	C₁₉	direct (N × H)
661. #3564	C₂×C₁₉	semidirect
662. #3563	C₂×C₁₉	semidirect
663. #3553	C₂×C₁₉	semidirect
664. #3552	C₂×C₁₉	semidirect
665. #3541	C₂×C₁₉	semidirect
666. #3541	C₂×C₁₉	semidirect
667. #3536	C₂×C₁₉	semidirect
668. #3535	C₂×C₁₉	semidirect
669. #3520	C₂×C₁₉	semidirect
670. #3516	C₂×C₁₉	semidirect
671. #3505	C₂×C₁₉	semidirect
672. #3505	C₂×C₁₉	semidirect
673. #3501	C₂×C₁₉	semidirect
674. #3501	C₂×C₁₉	semidirect
675. #3495	C₂×C₁₉	semidirect
676. #3492	C₂×C₁₉	semidirect
677. C₂×#554	C₂×C₁₉	semidirect
678. C₂×#553	C₂×C₁₉	semidirect
679. #3459	C₂×C₁₉	semidirect
680. #3459	C₂×C₁₉	semidirect
716. #564	C₂²×C₁₉	semidirect
717. #563	C₂²×C₁₉	semidirect
718. #563	C₂²×C₁₉	semidirect
719. #563	C₂²×C₁₉	semidirect
720. #563	C₂²×C₁₉	semidirect
721. #562	C₂²×C₁₉	semidirect
722. #562	C₂²×C₁₉	semidirect
723. #557	C₂²×C₁₉	semidirect
724. #556	C₂²×C₁₉	semidirect
725. #556	C₂²×C₁₉	semidirect
726. #556	C₂²×C₁₉	semidirect
727. #554	C₂²×C₁₉	semidirect
728. #554	C₂²×C₁₉	semidirect
729. #554	C₂²×C₁₉	semidirect
730. #554	C₂²×C₁₉	semidirect
731. #554	C₂²×C₁₉	semidirect
732. #554	C₂²×C₁₉	semidirect
733. #554	C₂²×C₁₉	semidirect
734. #554	C₂²×C₁₉	semidirect
735. #554	C₂²×C₁₉	semidirect
736. #554	C₂²×C₁₉	semidirect
737. #554	C₂²×C₁₉	semidirect
738. #553	C₂²×C₁₉	semidirect
739. #553	C₂²×C₁₉	semidirect
740. #553	C₂²×C₁₉	semidirect
741. #553	C₂²×C₁₉	semidirect
742. #553	C₂²×C₁₉	semidirect
743. #553	C₂²×C₁₉	semidirect
744. #553	C₂²×C₁₉	semidirect
745. #553	C₂²×C₁₉	semidirect
746. #552	C₂²×C₁₉	semidirect
747. #552	C₂²×C₁₉	semidirect
748. #552	C₂²×C₁₉	semidirect
749. #552	C₂²×C₁₉	semidirect
750. #552	C₂²×C₁₉	semidirect
751. #552	C₂²×C₁₉	semidirect
752. #552	C₂²×C₁₉	semidirect
753. #552	C₂²×C₁₉	semidirect
754. #551	C₂²×C₁₉	semidirect
755. #551	C₂²×C₁₉	semidirect
756. #551	C₂²×C₁₉	semidirect
757. D₄×Q₈	C₂²×C₁₉	semidirect
758. D₄×Q₈	C₂²×C₁₉	semidirect
759. D₄×Q₈	C₂²×C₁₉	semidirect
760. #548	C₂²×C₁₉	semidirect
761. #548	C₂²×C₁₉	semidirect
762. #548	C₂²×C₁₉	semidirect
763. #548	C₂²×C₁₉	semidirect
764. #547	C₂²×C₁₉	semidirect
765. #547	C₂²×C₁₉	semidirect
766. #547	C₂²×C₁₉	semidirect
767. #547	C₂²×C₁₉	semidirect
768. #546	C₂²×C₁₉	semidirect
769. #546	C₂²×C₁₉	semidirect
770. #544	C₂²×C₁₉	semidirect
771. #544	C₂²×C₁₉	semidirect
772. #544	C₂²×C₁₉	semidirect
773. #544	C₂²×C₁₉	semidirect
776. #543	C₂²×C₁₉	semidirect
777. #543	C₂²×C₁₉	semidirect
778. #542	C₂²×C₁₉	semidirect
779. #542	C₂²×C₁₉	semidirect
780. #542	C₂²×C₁₉	semidirect
781. #542	C₂²×C₁₉	semidirect
782. #542	C₂²×C₁₉	semidirect
783. #541	C₂²×C₁₉	semidirect
784. #541	C₂²×C₁₉	semidirect
785. #541	C₂²×C₁₉	semidirect
786. #541	C₂²×C₁₉	semidirect
787. #541	C₂²×C₁₉	semidirect
790. #539	C₂²×C₁₉	semidirect
791. #539	C₂²×C₁₉	semidirect
792. #539	C₂²×C₁₉	semidirect
793. #539	C₂²×C₁₉	semidirect
794. #539	C₂²×C₁₉	semidirect
795. #539	C₂²×C₁₉	semidirect
796. #539	C₂²×C₁₉	semidirect
797. #539	C₂²×C₁₉	semidirect
798. #539	C₂²×C₁₉	semidirect
801. #538	C₂²×C₁₉	semidirect
802. #538	C₂²×C₁₉	semidirect
803. #538	C₂²×C₁₉	semidirect
804. #538	C₂²×C₁₉	semidirect
805. #537	C₂²×C₁₉	semidirect
806. #537	C₂²×C₁₉	semidirect
807. #536	C₂²×C₁₉	semidirect
808. #536	C₂²×C₁₉	semidirect
812. #533	C₂²×C₁₉	semidirect
813. #533	C₂²×C₁₉	semidirect
814. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
817. #529	C₂²×C₁₉	semidirect
818. #529	C₂²×C₁₉	semidirect
819. #529	C₂²×C₁₉	semidirect
820. #529	C₂²×C₁₉	semidirect
821. C₂×#126	C₂²×C₁₉	semidirect
822. C₂×#125	C₂²×C₁₉	semidirect
823. C₂×#125	C₂²×C₁₉	semidirect
826. #525	C₂²×C₁₉	semidirect
827. #525	C₂²×C₁₉	semidirect
828. #525	C₂²×C₁₉	semidirect
829. #525	C₂²×C₁₉	semidirect
830. C₂×#123	C₂²×C₁₉	semidirect
833. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
834. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
835. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
836. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
839. C₂×#121	C₂²×C₁₉	semidirect
840. #520	C₂²×C₁₉	semidirect
841. #520	C₂²×C₁₉	semidirect
842. #519	C₂²×C₁₉	semidirect
845. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
850. C₂×C₄×D₄	C₂²×C₁₉	semidirect
851. C₂×#117	C₂²×C₁₉	semidirect
853. C₂²×C₄⋊C₄	C₂²×C₁₉	semidirect
1124. C₁₉	#62902	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×#3564	2
C₁₉×#3563	2
C₁₉×#3553	2
C₁₉×#3552	2
C₁₉×#3541	2
C₁₉×#3536	2
C₁₉×#3535	2
C₁₉×#3520	2
C₁₉×#3516	2
C₁₉×#3505	2
C₁₉×#3501	2
C₁₉×#3495	2
C₁₉×#3492	2
C₂×C₁₉×#554	2
C₂×C₁₉×#553	2
C₁₉×#3459	2
#62902	19

Subgroups — C19×#62902 #18068861

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62902 #18068861