Subgroups — #36720384

Order 22784.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26023409	C₂	1	1	yes	maximal, characteristic, complemented
2	#26023409	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023400	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023376	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023376	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023317	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023304	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023304	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023294	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023294	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023248	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023248	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023236	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023236	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023236	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023046	C₂	1	1	yes	maximal, characteristic, complemented
17	#26023046	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023031	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023031	C₂	1	1	yes	maximal, characteristic, complemented
20	#26022978	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022957	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022957	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022947	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022947	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022913	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022913	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022913	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	#121×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	#121×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#560×C₈₉	C₂	1	1	yes	maximal, characteristic
32	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
33	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
34	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
38	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
39	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
40	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
41	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×#15667971	C₂²	1	1	yes	characteristic, complemented
45	C₂×#15667971	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
49	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
50	#19151501	C₂²	1	1	yes	characteristic
51	#19151501	C₂²	1	1	yes	characteristic
52	#19151501	C₂²	1	1	yes	characteristic
53	#19151501	C₂²	1	1	yes	characteristic
54	#19151501	C₂²	1	1	yes	characteristic
55	#19151501	C₂²	1	1	yes	characteristic
56	#19151501	C₂²	1	1	yes	characteristic
57	#19151501	C₂²	1	1	yes	characteristic
58	#19151501	C₂²	1	1	yes	characteristic
59	#19151501	C₂²	1	1	yes	characteristic, complemented
60	#19151501	C₂²	1	1	yes	characteristic, complemented
61	#19151501	C₂²	1	1	yes	characteristic, complemented
62	#19151497	C₂²	1	1	yes	characteristic, complemented
63	#19151497	C₂²	1	1	yes	characteristic, complemented
64	#19151497	C₂²	1	1	yes	characteristic, complemented
65	#19151497	C₂²	1	1	yes	characteristic, complemented
66	#19151497	C₂²	1	1	yes	characteristic, complemented
67	#19151497	C₂²	1	1	yes	characteristic, complemented
68	#19151491	C₂²	1	1	yes	characteristic
69	#19151491	C₂²	1	1	yes	characteristic
70	#19151491	C₂²	1	1	yes	characteristic
71	#19151491	C₂²	1	1	yes	characteristic
72	#19151491	C₂²	1	1	yes	characteristic
73	#19151491	C₂²	1	1	yes	characteristic
74	#19151491	C₂²	1	1	yes	characteristic
75	#19151491	C₂²	1	1	yes	characteristic
76	#19151491	C₂²	1	1	yes	characteristic
77	#19151491	C₂²	1	1	yes	characteristic
78	#19151491	C₂²	1	1	yes	characteristic
79	#19151491	C₂²	1	1	yes	characteristic
80	#19151491	C₂²	1	1	yes	characteristic
81	#19151491	C₂²	1	1	yes	characteristic
82	#19151491	C₂²	1	1	yes	characteristic
83	#19151491	C₂²	1	1	yes	characteristic
84	#19151491	C₂²	1	1	yes	characteristic
85	#19151491	C₂²	1	1	yes	characteristic
86	#19151491	C₂²	1	1	yes	characteristic, complemented
87	#19151491	C₂²	1	1	yes	characteristic, complemented
88	#19151491	C₂²	1	1	yes	characteristic, complemented
89	#19151491	C₂²	1	1	yes	characteristic, complemented
90	#19151491	C₂²	1	1	yes	characteristic, complemented
91	#19151491	C₂²	1	1	yes	characteristic, complemented
92	#19151484	C₂²	1	1	yes	characteristic, complemented
93	#19151484	C₂²	1	1	yes	characteristic, complemented
94	#19151484	C₂²	1	1	yes	characteristic, complemented
95	#19151484	C₂²	1	1	yes	characteristic, complemented
96	#19151484	C₂²	1	1	yes	characteristic, complemented
97	#19151484	C₂²	1	1	yes	characteristic, complemented
98	#19151484	C₂²	1	1	yes	characteristic, complemented
99	#19151484	C₂²	1	1	yes	characteristic, complemented
100	#19151484	C₂²	1	1	yes	characteristic, complemented
101	#19151484	C₂²	1	1	yes	characteristic, complemented
102	#19151484	C₂²	1	1	yes	characteristic, complemented
103	#19151484	C₂²	1	1	yes	characteristic, complemented
104	#19151478	C₂²	1	1	yes	characteristic
105	#19151478	C₂²	1	1	yes	characteristic
106	#19151478	C₂²	1	1	yes	characteristic
107	#19151478	C₂²	1	1	yes	characteristic
108	#19151478	C₂²	1	1	yes	characteristic
109	#19151478	C₂²	1	1	yes	characteristic
110	#19151478	C₂²	1	1	yes	characteristic
111	#19151478	C₂²	1	1	yes	characteristic
112	#19151478	C₂²	1	1	yes	characteristic
113	#19151478	C₂²	1	1	yes	characteristic
114	#19151478	C₂²	1	1	yes	characteristic
115	#19151478	C₂²	1	1	yes	characteristic
116	#19151478	C₂²	1	1	yes	characteristic
117	#19151478	C₂²	1	1	yes	characteristic
118	#19151478	C₂²	1	1	yes	characteristic
119	#19151478	C₂²	1	1	yes	characteristic
120	#19151478	C₂²	1	1	yes	characteristic
121	#19151478	C₂²	1	1	yes	characteristic
122	#19151478	C₂²	1	1	yes	characteristic, complemented
123	#19151478	C₂²	1	1	yes	characteristic, complemented
124	#19151478	C₂²	1	1	yes	characteristic, complemented
125	#19151478	C₂²	1	1	yes	characteristic, complemented
126	#19151478	C₂²	1	1	yes	characteristic, complemented
127	#19151478	C₂²	1	1	yes	characteristic, complemented
128	#19151473	C₂²	1	1	yes	characteristic
129	#19151473	C₂²	1	1	yes	characteristic
130	#19151473	C₂²	1	1	yes	characteristic
131	#19151473	C₂²	1	1	yes	characteristic
132	#19151473	C₂²	1	1	yes	characteristic
133	#19151473	C₂²	1	1	yes	characteristic
134	#19151473	C₂²	1	1	yes	characteristic
135	#19151473	C₂²	1	1	yes	characteristic
136	#19151473	C₂²	1	1	yes	characteristic
137	#19151473	C₂²	1	1	yes	characteristic, complemented
138	#19151473	C₂²	1	1	yes	characteristic, complemented
139	#19151473	C₂²	1	1	yes	characteristic, complemented
140	#19151464	C₂²	1	1	yes	characteristic, complemented
141	#19151461	C₂²	1	1	yes	characteristic, complemented
142	#19151458	C₂²	1	1	yes	characteristic, complemented
143	#19151458	C₂²	1	1	yes	characteristic, complemented
144	#19151458	C₂²	1	1	yes	characteristic, complemented
145	#19151458	C₂²	1	1	yes	characteristic, complemented
146	#19151454	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
148	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
149	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
150	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
151	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
152	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
169	#19151444	C₂²	1	1	yes	characteristic, complemented
170	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
171	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
172	#560×C₈₉	C₄	1	16	yes	complemented
173	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
176	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
177	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
178	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
179	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
180	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
181	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
182	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
183	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
184	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
185	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
186	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
188	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
189	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
190	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
191	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
195	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
196	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
198	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
199	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
200	D₄×Dic₈₉	—	4	2	no	—
201	D₄×Dic₈₉	—	4	2	no	—
202	D₄×Dic₈₉	—	4	2	no	—
203	D₄×Dic₈₉	—	4	2	no	—
204	D₄×Dic₈₉	—	4	2	no	—
205	D₄×Dic₈₉	—	4	2	no	—
206	D₄×Dic₈₉	—	4	2	no	—
207	D₄×Dic₈₉	—	4	2	no	—
208	D₄×Dic₈₉	—	4	2	no	—
209	D₄×Dic₈₉	—	4	2	no	—
210	D₄×Dic₈₉	—	4	2	no	—
211	D₄×Dic₈₉	—	4	2	no	—
212	#15667971	—	4	2	no	—
213	#15667971	—	4	2	no	—
214	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
233	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
234	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
235	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₈₉	—	4	2	no	—
272	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
342	#127×C₈₉	C₂×C₄	1	8	yes	complemented
343	#126×C₈₉	C₂×C₄	1	8	yes	complemented
344	#126×C₈₉	C₂×C₄	1	8	yes	complemented
345	#123×C₈₉	C₂×C₄	1	8	yes	complemented
346	#123×C₈₉	C₂×C₄	1	8	yes	complemented
347	#123×C₈₉	C₂×C₄	1	8	yes	complemented
348	#121×C₈₉	C₂×C₄	1	8	yes	complemented
349	#121×C₈₉	C₂×C₄	1	8	yes	complemented
350	#121×C₈₉	C₂×C₄	1	8	yes	complemented
351	#121×C₈₉	C₂×C₄	1	8	yes	complemented
352	#121×C₈₉	C₂×C₄	1	8	yes	complemented
353	#121×C₈₉	C₂×C₄	1	8	yes	complemented
354	#120×C₈₉	C₂×C₄	1	8	yes	complemented
355	#120×C₈₉	C₂×C₄	1	8	yes	complemented
356	#120×C₈₉	C₂×C₄	1	8	yes	complemented
357	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
375	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
376	C₂²×Dic₈₉	—	2	2	no	—
377	C₂²×Dic₈₉	—	2	2	no	—
378	C₂²×Dic₈₉	—	2	2	no	—
379	C₂²×Dic₈₉	—	2	2	no	—
380	C₂²×Dic₈₉	—	2	2	no	—
381	C₂²×Dic₈₉	—	2	2	no	—
382	C₂²×Dic₈₉	—	2	2	no	—
383	C₂²×Dic₈₉	—	2	2	no	—
384	C₂²×Dic₈₉	—	4	1	no	—
385	C₂²×Dic₈₉	—	4	1	no	—
386	C₂²×Dic₈₉	—	4	1	no	—
387	C₂²×Dic₈₉	—	4	1	no	—
388	C₂²×Dic₈₉	—	4	1	no	—
389	C₂²×Dic₈₉	—	4	1	no	—
390	C₂²×Dic₈₉	—	4	1	no	—
391	C₂²×Dic₈₉	—	4	1	no	—
392	C₂²×Dic₈₉	—	4	1	no	—
393	C₂²×Dic₈₉	—	4	1	no	—
394	C₂²×Dic₈₉	—	4	1	no	—
395	C₂²×Dic₈₉	—	4	1	no	—
396	C₂²×Dic₈₉	—	4	1	no	—
397	C₂²×Dic₈₉	—	4	1	no	—
398	C₂²×Dic₈₉	—	4	1	no	—
399	C₂²×Dic₈₉	—	4	1	no	—
400	C₂²×Dic₈₉	—	4	1	no	—
401	C₂²×Dic₈₉	—	4	1	no	—
402	C₂²×Dic₈₉	—	4	1	no	—
403	C₂²×Dic₈₉	—	4	1	no	—
404	C₂²×Dic₈₉	—	4	1	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	—	4	1	no	—
408	C₂²×Dic₈₉	—	4	1	no	—
409	C₂²×Dic₈₉	—	4	1	no	—
410	C₂²×Dic₈₉	—	4	1	no	—
411	C₂²×Dic₈₉	—	4	1	no	—
412	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₄⋊Dic₈₉	—	2	2	no	—
429	C₄⋊Dic₈₉	—	2	2	no	—
430	C₄⋊Dic₈₉	—	2	2	no	—
431	C₄⋊Dic₈₉	—	2	2	no	—
432	C₄⋊Dic₈₉	—	4	1	no	—
433	C₄⋊Dic₈₉	—	4	1	no	—
434	C₄⋊Dic₈₉	—	4	1	no	—
435	C₄⋊Dic₈₉	—	4	1	no	—
436	C₄⋊Dic₈₉	—	4	1	no	—
437	C₄⋊Dic₈₉	—	4	1	no	—
438	C₄⋊Dic₈₉	—	4	1	no	—
439	C₄⋊Dic₈₉	—	4	1	no	—
440	C₄⋊Dic₈₉	—	4	1	no	—
441	C₄⋊Dic₈₉	—	4	1	no	—
442	C₄⋊Dic₈₉	—	4	1	no	—
443	C₄⋊Dic₈₉	—	4	1	no	—
444	C₄⋊Dic₈₉	—	4	1	no	—
445	C₄⋊Dic₈₉	—	4	1	no	—
446	C₂²⋊Dic₈₉	—	2	2	no	—
447	C₂²⋊Dic₈₉	—	2	2	no	—
448	C₂²⋊Dic₈₉	—	2	2	no	—
449	C₂²⋊Dic₈₉	—	2	2	no	—
450	C₂²⋊Dic₈₉	—	2	2	no	—
451	C₂²⋊Dic₈₉	—	2	2	no	—
452	C₂²⋊Dic₈₉	—	2	2	no	—
453	C₂²⋊Dic₈₉	—	2	2	no	—
454	C₂²⋊Dic₈₉	—	2	2	no	—
455	C₂²⋊Dic₈₉	—	2	2	no	—
456	C₂²⋊Dic₈₉	—	4	1	no	—
457	C₂²⋊Dic₈₉	—	4	1	no	—
458	C₂²⋊Dic₈₉	—	4	1	no	—
459	C₂²⋊Dic₈₉	—	4	1	no	—
460	C₂²⋊Dic₈₉	—	4	1	no	—
461	C₂²⋊Dic₈₉	—	4	1	no	—
462	C₂²⋊Dic₈₉	—	4	1	no	—
463	C₂²⋊Dic₈₉	—	4	1	no	—
464	C₂²⋊Dic₈₉	—	4	1	no	—
465	C₂²⋊Dic₈₉	—	4	1	no	—
466	C₂²⋊Dic₈₉	—	4	1	no	—
467	C₂²⋊Dic₈₉	—	4	1	no	—
468	C₂²⋊Dic₈₉	—	4	1	no	—
469	C₂²⋊Dic₈₉	—	4	1	no	—
470	C₂²⋊Dic₈₉	—	4	1	no	—
471	C₂²⋊Dic₈₉	—	4	1	no	—
472	C₂²⋊Dic₈₉	—	4	1	no	—
473	C₂²⋊Dic₈₉	—	4	1	no	—
474	C₂²⋊Dic₈₉	—	4	1	no	—
475	C₂²⋊Dic₈₉	—	4	1	no	—
476	C₂²⋊Dic₈₉	—	4	1	no	—
477	C₂²⋊Dic₈₉	—	4	1	no	—
478	C₂²⋊Dic₈₉	—	4	1	no	—
479	C₂²⋊Dic₈₉	—	4	1	no	—
480	C₂²⋊Dic₈₉	—	4	1	no	—
481	C₂²⋊Dic₈₉	—	4	1	no	—
482	C₄×Dic₈₉	—	2	2	no	—
483	C₄×Dic₈₉	—	2	2	no	—
484	C₄×Dic₈₉	—	2	2	no	—
485	C₄×Dic₈₉	—	2	2	no	—
486	C₄×Dic₈₉	—	2	2	no	—
487	C₄×Dic₈₉	—	4	1	no	—
488	C₄×Dic₈₉	—	4	1	no	—
489	C₄×Dic₈₉	—	4	1	no	—
490	C₄×Dic₈₉	—	4	1	no	—
491	C₄×Dic₈₉	—	4	1	no	—
492	C₄×Dic₈₉	—	4	1	no	—
493	C₄×Dic₈₉	—	4	1	no	—
494	C₄×Dic₈₉	—	4	1	no	—
495	C₄×Dic₈₉	—	4	1	no	—
496	C₄×Dic₈₉	—	4	1	no	—
497	C₄×Dic₈₉	—	4	1	no	—
498	C₄×Dic₈₉	—	4	1	no	—
499	C₄×Dic₈₉	—	4	1	no	—
500	C₂⁴×C₈₉	—	4	1	no	—
501	C₂⁴×C₈₉	—	4	1	no	—
502	C₂⁴×C₈₉	—	4	1	no	—
503	C₂⁴×C₈₉	—	4	1	no	—
504	C₂⁴×C₈₉	—	4	1	no	—
505	C₂⁴×C₈₉	—	4	1	no	—
506	C₂⁴×C₈₉	C₂²×C₄	1	4	yes	—
507	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
508	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
509	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
512	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₈₉	—	4	1	no	—
514	C₂×D₄×C₈₉	—	4	1	no	—
515	C₂×D₄×C₈₉	—	4	1	no	—
516	C₂×D₄×C₈₉	—	4	1	no	—
517	C₂×D₄×C₈₉	—	4	1	no	—
518	C₂×D₄×C₈₉	—	4	1	no	—
519	C₂×D₄×C₈₉	—	4	1	no	—
520	C₂×D₄×C₈₉	—	4	1	no	—
521	C₂×D₄×C₈₉	—	4	1	no	—
522	C₂×D₄×C₈₉	—	4	1	no	—
523	C₂×D₄×C₈₉	—	4	1	no	—
524	C₂×D₄×C₈₉	—	4	1	no	—
525	C₂×D₄×C₈₉	—	4	1	no	—
526	C₂×D₄×C₈₉	—	4	1	no	—
527	C₂×D₄×C₈₉	—	4	1	no	—
528	C₂×D₄×C₈₉	—	4	1	no	—
529	C₂×D₄×C₈₉	—	4	1	no	—
530	C₂×D₄×C₈₉	—	4	1	no	—
531	C₂×D₄×C₈₉	—	4	1	no	—
532	C₂×D₄×C₈₉	—	4	1	no	—
533	C₂×D₄×C₈₉	—	4	1	no	—
534	C₂×D₄×C₈₉	—	4	1	no	—
535	C₂×D₄×C₈₉	—	4	1	no	—
536	C₂×D₄×C₈₉	—	4	1	no	—
537	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
538	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
539	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
540	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
541	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
542	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
543	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
544	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
545	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
546	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
547	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
548	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
549	C₂²×C₄×C₈₉	—	4	1	no	—
550	C₂²×C₄×C₈₉	—	4	1	no	—
551	C₂²×C₄×C₈₉	—	4	1	no	—
552	C₂²×C₄×C₈₉	—	4	1	no	—
553	C₂²×C₄×C₈₉	—	4	1	no	—
554	C₂²×C₄×C₈₉	—	4	1	no	—
555	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
556	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
557	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
567	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
568	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
569	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
570	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
571	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
572	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
573	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
574	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
575	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
576	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
577	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
578	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
579	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
580	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
581	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
582	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
583	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
584	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
585	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
586	C₂³×C₈₉	—	2	1	no	—
587	C₂³×C₈₉	—	2	1	no	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	—	2	1	no	—
591	C₂³×C₈₉	—	2	1	no	—
592	C₂³×C₈₉	—	2	1	no	—
593	C₂³×C₈₉	—	2	1	no	—
594	C₂³×C₈₉	—	2	1	no	—
595	C₂³×C₈₉	—	2	1	no	—
596	C₂³×C₈₉	—	2	1	no	—
597	C₂³×C₈₉	—	2	1	no	—
598	C₂³×C₈₉	—	2	1	no	—
599	C₂³×C₈₉	—	2	1	no	—
600	C₂³×C₈₉	—	2	1	no	—
601	C₂³×C₈₉	—	2	1	no	—
602	C₂³×C₈₉	—	2	1	no	—
603	C₂³×C₈₉	—	2	1	no	—
604	C₂³×C₈₉	—	2	1	no	—
605	C₂³×C₈₉	—	2	1	no	—
606	C₂³×C₈₉	—	2	1	no	—
607	C₂³×C₈₉	—	2	1	no	—
608	C₂³×C₈₉	—	2	1	no	—
609	C₂³×C₈₉	—	2	1	no	—
610	C₂³×C₈₉	—	2	1	no	—
611	C₂³×C₈₉	—	2	1	no	—
612	C₂³×C₈₉	—	2	1	no	—
613	C₂³×C₈₉	—	2	1	no	—
614	C₂³×C₈₉	—	2	1	no	—
615	C₂³×C₈₉	—	2	1	no	—
616	C₂³×C₈₉	—	2	1	no	—
617	C₂³×C₈₉	—	2	1	no	—
618	C₂³×C₈₉	—	2	1	no	—
619	C₂³×C₈₉	—	2	1	no	—
620	C₂³×C₈₉	—	2	1	no	—
621	C₂³×C₈₉	—	2	1	no	—
622	C₂³×C₈₉	—	4	4	no	—
623	C₂³×C₈₉	—	4	4	no	—
624	C₂³×C₈₉	—	4	4	no	—
625	C₂³×C₈₉	—	8	2	no	—
626	C₂³×C₈₉	—	8	2	no	—
627	C₂³×C₈₉	—	8	2	no	—
628	C₂³×C₈₉	—	8	2	no	—
629	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
630	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
631	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
632	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
633	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
634	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
635	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
636	D₄×C₈₉	—	4	4	no	—
637	D₄×C₈₉	—	4	4	no	—
638	D₄×C₈₉	—	4	4	no	—
639	D₄×C₈₉	—	4	4	no	—
640	D₄×C₈₉	—	4	4	no	—
641	D₄×C₈₉	—	4	4	no	—
642	D₄×C₈₉	—	4	4	no	—
643	D₄×C₈₉	—	4	4	no	—
644	D₄×C₈₉	—	4	4	no	—
645	D₄×C₈₉	—	4	4	no	—
646	D₄×C₈₉	—	4	4	no	—
647	D₄×C₈₉	—	4	4	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	2	1	no	—
662	C₂×C₄×C₈₉	—	2	1	no	—
663	C₂×C₄×C₈₉	—	2	1	no	—
664	C₂×C₄×C₈₉	—	2	1	no	—
665	C₂×C₄×C₈₉	—	2	1	no	—
666	C₂×C₄×C₈₉	—	4	4	no	—
667	C₂×C₄×C₈₉	—	4	4	no	—
668	C₂×C₄×C₈₉	—	4	4	no	—
669	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
670	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
671	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
672	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
673	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
674	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
675	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
676	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
677	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	2	1	no	—
703	C₂×Dic₈₉	—	2	1	no	—
704	C₂×Dic₈₉	—	2	1	no	—
705	C₂×Dic₈₉	—	2	1	no	—
706	C₂×Dic₈₉	—	2	1	no	—
707	C₂×Dic₈₉	—	2	1	no	—
708	C₂×Dic₈₉	—	2	1	no	—
709	C₂×Dic₈₉	—	2	1	no	—
710	C₂×Dic₈₉	—	2	1	no	—
711	C₂×Dic₈₉	—	2	1	no	—
712	C₂×Dic₈₉	—	2	1	no	—
713	C₂×Dic₈₉	—	2	1	no	—
714	C₂×Dic₈₉	—	2	1	no	—
715	C₂×Dic₈₉	—	2	1	no	—
716	C₂×Dic₈₉	—	2	1	no	—
717	C₂×Dic₈₉	—	2	1	no	—
718	C₂×Dic₈₉	—	2	1	no	—
719	C₂×Dic₈₉	—	2	1	no	—
720	C₂×Dic₈₉	—	2	1	no	—
721	C₂×Dic₈₉	—	2	1	no	—
722	C₂×Dic₈₉	—	2	1	no	—
723	C₂×Dic₈₉	—	4	4	no	—
724	C₂×Dic₈₉	—	4	4	no	—
725	C₂×Dic₈₉	—	8	2	no	—
726	C₂×Dic₈₉	—	8	2	no	—
727	C₂×Dic₈₉	—	8	2	no	—
728	C₂×Dic₈₉	—	8	2	no	—
729	C₂×Dic₈₉	—	8	2	no	—
730	C₂×Dic₈₉	—	8	2	no	—
731	C₂×Dic₈₉	—	8	2	no	—
732	C₂×Dic₈₉	—	8	2	no	—
733	C₂×Dic₈₉	—	8	2	no	—
734	C₂×Dic₈₉	—	8	2	no	—
735	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
736	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
737	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
738	C₂²×C₈₉	—	2	2	no	—
739	C₂²×C₈₉	—	2	2	no	—
740	C₂²×C₈₉	—	2	2	no	—
741	C₂²×C₈₉	—	2	2	no	—
742	C₂²×C₈₉	—	2	2	no	—
743	C₂²×C₈₉	—	2	2	no	—
744	C₂²×C₈₉	—	2	2	no	—
745	C₂²×C₈₉	—	2	2	no	—
746	C₂²×C₈₉	—	2	2	no	—
747	C₂²×C₈₉	—	2	2	no	—
748	C₂²×C₈₉	—	2	2	no	—
749	C₂²×C₈₉	—	2	2	no	—
750	C₂²×C₈₉	—	2	2	no	—
751	C₂²×C₈₉	—	2	2	no	—
752	C₂²×C₈₉	—	2	2	no	—
753	C₂²×C₈₉	—	2	2	no	—
754	C₂²×C₈₉	—	2	2	no	—
755	C₂²×C₈₉	—	2	2	no	—
756	C₂²×C₈₉	—	4	1	no	—
757	C₂²×C₈₉	—	4	1	no	—
758	C₂²×C₈₉	—	4	1	no	—
759	C₂²×C₈₉	—	4	1	no	—
760	C₂²×C₈₉	—	4	1	no	—
761	C₂²×C₈₉	—	4	1	no	—
762	C₂²×C₈₉	—	4	1	no	—
763	C₂²×C₈₉	—	4	1	no	—
764	C₂²×C₈₉	—	4	1	no	—
765	C₂²×C₈₉	—	4	1	no	—
766	C₂²×C₈₉	—	4	1	no	—
767	C₂²×C₈₉	—	4	1	no	—
768	C₂²×C₈₉	—	4	1	no	—
769	C₂²×C₈₉	—	4	1	no	—
770	C₂²×C₈₉	—	4	1	no	—
771	C₂²×C₈₉	—	4	1	no	—
772	C₂²×C₈₉	—	4	1	no	—
773	C₂²×C₈₉	—	4	1	no	—
774	C₂²×C₈₉	—	4	1	no	—
775	C₂²×C₈₉	—	4	1	no	—
776	C₂²×C₈₉	—	4	1	no	—
777	C₂²×C₈₉	—	4	1	no	—
778	C₂²×C₈₉	—	4	1	no	—
779	C₂²×C₈₉	—	4	1	no	—
780	C₂²×C₈₉	—	8	8	no	—
781	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
782	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
783	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
784	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
785	C₂²×C₈₉	#585	1	1	yes	characteristic
786	C₂²×C₈₉	#585	1	1	yes	characteristic
787	C₂²×C₈₉	#585	1	1	yes	characteristic
788	C₄×C₈₉	—	2	2	no	—
789	C₄×C₈₉	—	2	2	no	—
790	C₄×C₈₉	—	2	2	no	—
791	C₄×C₈₉	—	2	2	no	—
792	C₄×C₈₉	—	2	2	no	—
793	C₄×C₈₉	—	2	2	no	—
794	C₄×C₈₉	—	2	2	no	—
795	C₄×C₈₉	—	2	2	no	—
796	C₄×C₈₉	—	2	2	no	—
797	Dic₈₉	—	2	2	no	—
798	Dic₈₉	—	2	2	no	—
799	Dic₈₉	—	2	2	no	—
800	Dic₈₉	—	4	1	no	—
801	Dic₈₉	—	4	1	no	—
802	Dic₈₉	—	4	1	no	—
803	Dic₈₉	—	4	1	no	—
804	Dic₈₉	—	4	1	no	—
805	Dic₈₉	—	4	1	no	—
806	Dic₈₉	—	4	1	no	—
807	Dic₈₉	—	4	1	no	—
808	Dic₈₉	—	4	1	no	—
809	Dic₈₉	—	4	1	no	—
810	Dic₈₉	—	4	1	no	—
811	Dic₈₉	—	4	1	no	—
812	Dic₈₉	—	4	1	no	—
813	#34517	—	89	1	no	maximal, Sylow
814	C₂×C₈₉	—	4	2	no	—
815	C₂×C₈₉	—	4	2	no	—
816	C₂×C₈₉	—	4	2	no	—
817	C₂×C₈₉	—	4	2	no	—
818	C₂×C₈₉	—	4	2	no	—
819	C₂×C₈₉	—	4	2	no	—
820	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
821	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
822	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
823	C₂×C₈₉	#3534	1	1	yes	characteristic
824	C₂×C₈₉	#3542	1	1	yes	characteristic
825	C₂×C₈₉	#3546	1	1	yes	characteristic
826	C₂×C₈₉	#3566	1	1	yes	characteristic
827	C₂×#560	D₈₉	1	1	yes	characteristic
828	#2377	—	89	1	no	—
829	#2377	—	89	1	no	—
830	#2376	—	89	1	no	—
831	#2373	—	89	1	no	—
832	#2373	—	89	1	no	—
833	#2366	—	89	1	no	—
834	#2364	—	89	1	no	—
835	#2364	—	89	1	no	—
836	#2363	—	89	1	no	—
837	#2363	—	89	1	no	—
838	#2359	—	89	1	no	—
839	#2359	—	89	1	no	—
840	#2358	—	89	1	no	—
841	#2358	—	89	1	no	—
842	#2358	—	89	1	no	—
843	#2335	—	89	1	no	—
844	#2335	—	89	1	no	—
845	#2334	—	89	1	no	—
846	#2334	—	89	1	no	—
847	#2328	—	89	1	no	—
848	#2325	—	89	1	no	—
849	#2325	—	89	1	no	—
850	#2324	—	89	1	no	—
851	#2324	—	89	1	no	—
852	#2321	—	89	1	no	—
853	#2321	—	89	1	no	—
854	#2321	—	89	1	no	—
855	C₄×#123	—	89	1	no	—
856	C₄×#121	—	89	1	no	—
857	C₄×#121	—	89	1	no	—
858	C₈₉	#34517	1	1	yes	characteristic, complemented, Sylow
859	#560	Dic₈₉	1	16	yes	complemented
860	C₂×#127	C₂×D₈₉	1	1	yes	characteristic
861	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
862	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
863	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
864	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
865	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
866	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
867	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
868	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
869	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
870	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
871	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
872	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
873	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
874	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
875	C₂×C₄×D₄	—	89	1	no	—
876	C₂×C₄×D₄	—	89	1	no	—
877	C₂×C₄×D₄	—	89	1	no	—
878	C₂×C₄×D₄	—	89	1	no	—
879	C₂×C₄×D₄	—	89	1	no	—
880	C₂×C₄×D₄	—	89	1	no	—
881	C₂×C₄×D₄	—	89	1	no	—
882	C₂×C₄×D₄	—	89	1	no	—
883	C₂×C₄×D₄	—	89	1	no	—
884	C₂×C₄×D₄	—	89	1	no	—
885	C₂×C₄×D₄	—	89	1	no	—
886	C₂×C₄×D₄	—	89	1	no	—
887	C₂×#117	—	89	1	no	—
888	C₂×#117	—	89	1	no	—
889	C₂²×C₂²⋊C₄	—	89	1	no	—
890	C₂²×C₂²⋊C₄	—	89	1	no	—
891	C₂²×C₂²⋊C₄	—	89	1	no	—
892	C₂²×C₄²	—	89	1	no	—
893	#390	—	89	1	no	—
894	#390	—	89	1	no	—
895	#390	—	89	1	no	—
896	#390	—	89	1	no	—
897	#390	—	89	1	no	—
898	#390	—	89	1	no	—
899	#390	—	89	1	no	—
900	#390	—	89	1	no	—
901	#390	—	89	1	no	—
902	#390	—	89	1	no	—
903	#390	—	89	1	no	—
904	#390	—	89	1	no	—
905	#389	—	89	1	no	—
906	#389	—	89	1	no	—
907	#389	—	89	1	no	—
908	#389	—	89	1	no	—
909	#389	—	89	1	no	—
910	#389	—	89	1	no	—
911	#388	—	89	1	no	—
912	#388	—	89	1	no	—
913	#388	—	89	1	no	—
914	#388	—	89	1	no	—
915	#388	—	89	1	no	—
916	#388	—	89	1	no	—
917	#388	—	89	1	no	—
918	#388	—	89	1	no	—
919	#388	—	89	1	no	—
920	#388	—	89	1	no	—
921	#388	—	89	1	no	—
922	#388	—	89	1	no	—
923	#388	—	89	1	no	—
924	#388	—	89	1	no	—
925	#388	—	89	1	no	—
926	#388	—	89	1	no	—
927	#388	—	89	1	no	—
928	#388	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	—	89	1	no	—
931	#388	—	89	1	no	—
932	#388	—	89	1	no	—
933	#388	—	89	1	no	—
934	#388	—	89	1	no	—
935	#387	—	89	1	no	—
936	#387	—	89	1	no	—
937	#387	—	89	1	no	—
938	#387	—	89	1	no	—
939	#387	—	89	1	no	—
940	#387	—	89	1	no	—
941	#387	—	89	1	no	—
942	#387	—	89	1	no	—
943	#387	—	89	1	no	—
944	#387	—	89	1	no	—
945	#387	—	89	1	no	—
946	#387	—	89	1	no	—
947	#386	—	89	1	no	—
948	#386	—	89	1	no	—
949	#386	—	89	1	no	—
950	#386	—	89	1	no	—
951	#386	—	89	1	no	—
952	#386	—	89	1	no	—
953	#386	—	89	1	no	—
954	#386	—	89	1	no	—
955	#386	—	89	1	no	—
956	#386	—	89	1	no	—
957	#386	—	89	1	no	—
958	#386	—	89	1	no	—
959	#386	—	89	1	no	—
960	#386	—	89	1	no	—
961	#386	—	89	1	no	—
962	#386	—	89	1	no	—
963	#386	—	89	1	no	—
964	#386	—	89	1	no	—
965	#386	—	89	1	no	—
966	#386	—	89	1	no	—
967	#386	—	89	1	no	—
968	#386	—	89	1	no	—
969	#386	—	89	1	no	—
970	#386	—	89	1	no	—
971	#385	—	89	1	no	—
972	#385	—	89	1	no	—
973	#385	—	89	1	no	—
974	#385	—	89	1	no	—
975	#385	—	89	1	no	—
976	#385	—	89	1	no	—
977	#385	—	89	1	no	—
978	#385	—	89	1	no	—
979	#385	—	89	1	no	—
980	#385	—	89	1	no	—
981	#385	—	89	1	no	—
982	#385	—	89	1	no	—
983	#382	—	89	1	no	—
984	#381	—	89	1	no	—
985	#380	—	89	1	no	—
986	#380	—	89	1	no	—
987	#380	—	89	1	no	—
988	#380	—	89	1	no	—
989	#379	—	89	1	no	—
990	C₄×C₄⋊C₄	—	89	1	no	—
991	C₄×C₄⋊C₄	—	89	1	no	—
992	C₄×C₄⋊C₄	—	89	1	no	—
993	C₄×C₄⋊C₄	—	89	1	no	—
994	C₄×C₄⋊C₄	—	89	1	no	—
995	C₄×C₄⋊C₄	—	89	1	no	—
996	C₄×C₄⋊C₄	—	89	1	no	—
997	C₄×C₄⋊C₄	—	89	1	no	—
998	C₄×C₂²⋊C₄	—	89	1	no	—
999	C₄×C₂²⋊C₄	—	89	1	no	—
1000	C₄×C₂²⋊C₄	—	89	1	no	—
1001	C₄×C₂²⋊C₄	—	89	1	no	—
1002	C₄×C₂²⋊C₄	—	89	1	no	—
1003	C₄×C₂²⋊C₄	—	89	1	no	—
1004	C₄×C₂²⋊C₄	—	89	1	no	—
1005	C₄×C₂²⋊C₄	—	89	1	no	—
1006	C₄×C₂²⋊C₄	—	89	1	no	—
1007	C₄×C₂²⋊C₄	—	89	1	no	—
1008	C₄×C₂²⋊C₄	—	89	1	no	—
1009	C₄×C₂²⋊C₄	—	89	1	no	—
1010	C₄×C₂²⋊C₄	—	89	1	no	—
1011	C₄×C₂²⋊C₄	—	89	1	no	—
1012	#376	—	89	1	no	—
1013	C₂×#95	—	89	1	no	—
1014	C₂×#95	—	89	1	no	—
1015	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
1016	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1017	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1018	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1019	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1020	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1021	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1022	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1023	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1024	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1025	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1027	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1028	C₂³×C₄	—	89	1	no	—
1029	C₂³×C₄	—	89	1	no	—
1030	C₂³×C₄	—	89	1	no	—
1031	C₂³×C₄	—	89	1	no	—
1032	C₂³×C₄	—	89	1	no	—
1033	C₂³×C₄	—	89	1	no	—
1034	C₂³×C₄	—	89	1	no	—
1035	C₂³×C₄	—	89	1	no	—
1036	C₂³×C₄	—	89	1	no	—
1037	C₂³×C₄	—	89	1	no	—
1038	C₂³×C₄	—	89	1	no	—
1039	C₂³×C₄	—	89	1	no	—
1040	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1041	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1042	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1043	#127	C₂×Dic₈₉	1	8	yes	complemented
1044	#126	C₂×Dic₈₉	1	8	yes	complemented
1045	#126	C₂×Dic₈₉	1	8	yes	complemented
1046	#123	C₂×Dic₈₉	1	8	yes	complemented
1047	#123	C₂×Dic₈₉	1	8	yes	complemented
1048	#123	C₂×Dic₈₉	1	8	yes	complemented
1049	#121	C₂×Dic₈₉	1	8	yes	complemented
1050	#121	C₂×Dic₈₉	1	8	yes	complemented
1051	#121	C₂×Dic₈₉	1	8	yes	complemented
1052	#121	C₂×Dic₈₉	1	8	yes	complemented
1053	#121	C₂×Dic₈₉	1	8	yes	complemented
1054	#121	C₂×Dic₈₉	1	8	yes	complemented
1055	#120	C₂×Dic₈₉	1	8	yes	complemented
1056	#120	C₂×Dic₈₉	1	8	yes	complemented
1057	#120	C₂×Dic₈₉	1	8	yes	complemented
1058	C₄×D₄	—	356	2	no	—
1059	C₄×D₄	—	356	2	no	—
1060	C₄×D₄	—	356	2	no	—
1061	C₄×D₄	—	356	2	no	—
1062	C₄×D₄	—	356	2	no	—
1063	C₄×D₄	—	356	2	no	—
1064	C₄×D₄	—	356	2	no	—
1065	C₄×D₄	—	356	2	no	—
1066	C₄×D₄	—	356	2	no	—
1067	C₄×D₄	—	356	2	no	—
1068	C₄×D₄	—	356	2	no	—
1069	C₄×D₄	—	356	2	no	—
1070	#117	—	356	2	no	—
1071	#117	—	356	2	no	—
1072	C₂×C₄⋊C₄	—	89	1	no	—
1073	C₂×C₄⋊C₄	—	89	1	no	—
1074	C₂×C₄⋊C₄	—	89	1	no	—
1075	C₂×C₄⋊C₄	—	89	1	no	—
1076	C₂×C₄⋊C₄	—	89	1	no	—
1077	C₂×C₄⋊C₄	—	89	1	no	—
1078	C₂×C₄⋊C₄	—	89	1	no	—
1079	C₂×C₄⋊C₄	—	89	1	no	—
1080	C₂×C₄⋊C₄	—	89	1	no	—
1081	C₂×C₄⋊C₄	—	89	1	no	—
1082	C₂×C₄⋊C₄	—	89	1	no	—
1083	C₂×C₄⋊C₄	—	89	1	no	—
1084	C₂×C₄⋊C₄	—	89	1	no	—
1085	C₂×C₄⋊C₄	—	89	1	no	—
1086	C₂×C₄⋊C₄	—	89	1	no	—
1087	C₂×C₄⋊C₄	—	89	1	no	—
1088	C₂×C₄⋊C₄	—	89	1	no	—
1089	C₂×C₄⋊C₄	—	89	1	no	—
1090	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	—	89	1	no	—
1097	C₂×C₂²⋊C₄	—	89	1	no	—
1098	C₂×C₂²⋊C₄	—	89	1	no	—
1099	C₂×C₂²⋊C₄	—	89	1	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	89	1	no	—
1107	C₂×C₂²⋊C₄	—	89	1	no	—
1108	C₂×C₂²⋊C₄	—	89	1	no	—
1109	C₂×C₂²⋊C₄	—	89	1	no	—
1110	C₂×C₂²⋊C₄	—	89	1	no	—
1111	C₂×C₂²⋊C₄	—	89	1	no	—
1112	C₂×C₂²⋊C₄	—	89	1	no	—
1113	C₂×C₂²⋊C₄	—	89	1	no	—
1114	C₂×C₂²⋊C₄	—	89	1	no	—
1115	C₂×C₂²⋊C₄	—	89	1	no	—
1116	C₂×C₂²⋊C₄	—	89	1	no	—
1117	C₂×C₂²⋊C₄	—	89	1	no	—
1118	C₂×C₂²⋊C₄	—	89	1	no	—
1119	C₂×C₂²⋊C₄	—	89	1	no	—
1120	C₂×C₂²⋊C₄	—	89	1	no	—
1121	C₂×C₂²⋊C₄	—	89	1	no	—
1122	C₂×C₂²⋊C₄	—	89	1	no	—
1123	C₂×C₂²⋊C₄	—	89	1	no	—
1124	C₂×C₂²⋊C₄	—	89	1	no	—
1125	C₂×C₂²⋊C₄	—	89	1	no	—
1126	C₂×C₂²⋊C₄	—	89	1	no	—
1127	C₂×C₂²⋊C₄	—	89	1	no	—
1128	C₂×C₂²⋊C₄	—	89	1	no	—
1129	C₂×C₂²⋊C₄	—	89	1	no	—
1130	C₂×C₂²⋊C₄	—	89	1	no	—
1131	C₂×C₂²⋊C₄	—	89	1	no	—
1132	C₂×C₂²⋊C₄	—	356	2	no	—
1133	C₂×C₂²⋊C₄	—	356	2	no	—
1134	C₂×C₂²⋊C₄	—	356	2	no	—
1135	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1147	C₂×C₄²	—	89	1	no	—
1148	C₂×C₄²	—	89	1	no	—
1149	C₂×C₄²	—	89	1	no	—
1150	C₂×C₄²	—	89	1	no	—
1151	C₂×C₄²	—	89	1	no	—
1152	C₂×C₄²	—	89	1	no	—
1153	C₂×C₄²	—	89	1	no	—
1154	C₂×C₄²	—	89	1	no	—
1155	C₂×C₄²	—	89	1	no	—
1156	C₂×C₄²	—	89	1	no	—
1157	C₂×C₄²	—	89	1	no	—
1158	C₂×C₄²	—	89	1	no	—
1159	C₂×C₄²	—	89	1	no	—
1160	C₂×C₄²	—	89	1	no	—
1161	C₂×C₄²	—	89	1	no	—
1162	C₂×C₄²	—	89	1	no	—
1163	C₂×C₄²	—	89	1	no	—
1164	C₂×C₄²	—	89	1	no	—
1165	C₂×C₄²	—	356	2	no	—
1166	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1167	#95	—	89	1	no	—
1168	#95	—	89	1	no	—
1169	#95	—	89	1	no	—
1170	#95	—	89	1	no	—
1171	#95	—	89	1	no	—
1172	#95	—	89	1	no	—
1173	#95	—	89	1	no	—
1174	#95	—	89	1	no	—
1175	#95	—	89	1	no	—
1176	#95	—	89	1	no	—
1177	#95	—	89	1	no	—
1178	#95	—	89	1	no	—
1179	#95	—	89	1	no	—
1180	#95	—	89	1	no	—
1181	#95	—	89	1	no	—
1182	#95	—	89	1	no	—
1183	#95	—	89	1	no	—
1184	#95	—	89	1	no	—
1185	#95	—	89	1	no	—
1186	#95	—	89	1	no	—
1187	#95	—	89	1	no	—
1188	#95	—	89	1	no	—
1189	#95	—	89	1	no	—
1190	#95	—	89	1	no	—
1191	#95	—	89	1	no	—
1192	#95	—	89	1	no	—
1193	#95	—	89	1	no	—
1194	#95	—	89	1	no	—
1195	#95	—	89	1	no	—
1196	#95	—	89	1	no	—
1197	#95	—	89	1	no	—
1198	#95	—	89	1	no	—
1199	#95	—	89	1	no	—
1200	#95	—	89	1	no	—
1201	#95	—	89	1	no	—
1202	#95	—	89	1	no	—
1203	C₂⁴	—	4	1	no	—
1204	C₂⁴	—	4	1	no	—
1205	C₂⁴	—	4	1	no	—
1206	C₂⁴	—	4	1	no	—
1207	C₂⁴	—	4	1	no	—
1208	C₂⁴	—	4	1	no	—
1209	C₂⁴	C₂²×Dic₈₉	1	4	yes	—
1210	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1211	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1212	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1213	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1214	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1215	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	1	no	—
1229	C₂×D₄	—	4	1	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂×D₄	—	4	1	no	—
1233	C₂×D₄	—	4	1	no	—
1234	C₂×D₄	—	4	1	no	—
1235	C₂×D₄	—	4	1	no	—
1236	C₂×D₄	—	4	1	no	—
1237	C₂×D₄	—	4	1	no	—
1238	C₂×D₄	—	4	1	no	—
1239	C₂×D₄	—	4	1	no	—
1240	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1241	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1242	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1243	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1244	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1245	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1246	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1247	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1248	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1249	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1250	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1251	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1252	C₂²×C₄	—	4	1	no	—
1253	C₂²×C₄	—	4	1	no	—
1254	C₂²×C₄	—	4	1	no	—
1255	C₂²×C₄	—	4	1	no	—
1256	C₂²×C₄	—	4	1	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	89	1	no	—
1259	C₂²×C₄	—	89	1	no	—
1260	C₂²×C₄	—	89	1	no	—
1261	C₂²×C₄	—	89	1	no	—
1262	C₂²×C₄	—	89	1	no	—
1263	C₂²×C₄	—	89	1	no	—
1264	C₂²×C₄	—	89	1	no	—
1265	C₂²×C₄	—	89	1	no	—
1266	C₂²×C₄	—	89	1	no	—
1267	C₂²×C₄	—	89	1	no	—
1268	C₂²×C₄	—	89	1	no	—
1269	C₂²×C₄	—	89	1	no	—
1270	C₂²×C₄	—	89	1	no	—
1271	C₂²×C₄	—	89	1	no	—
1272	C₂²×C₄	—	89	1	no	—
1273	C₂²×C₄	—	89	1	no	—
1274	C₂²×C₄	—	356	1	no	—
1275	C₂²×C₄	—	356	1	no	—
1276	C₂²×C₄	—	356	1	no	—
1277	C₂²×C₄	—	356	1	no	—
1278	C₂²×C₄	—	356	1	no	—
1279	C₂²×C₄	—	356	1	no	—
1280	C₂²×C₄	—	356	1	no	—
1281	C₂²×C₄	—	356	1	no	—
1282	C₂²×C₄	—	356	1	no	—
1283	C₂²×C₄	—	356	1	no	—
1284	C₂²×C₄	—	356	1	no	—
1285	C₂²×C₄	—	356	1	no	—
1286	C₂²×C₄	—	356	1	no	—
1287	C₂²×C₄	—	356	1	no	—
1288	C₂²×C₄	—	356	1	no	—
1289	C₂²×C₄	—	356	1	no	—
1290	C₂²×C₄	—	356	1	no	—
1291	C₂²×C₄	—	356	1	no	—
1292	C₂²×C₄	—	356	1	no	—
1293	C₂²×C₄	—	356	1	no	—
1294	C₂²×C₄	—	356	1	no	—
1295	C₂²×C₄	—	356	1	no	—
1296	C₂²×C₄	—	356	1	no	—
1297	C₂²×C₄	—	356	1	no	—
1298	C₂²×C₄	—	356	1	no	—
1299	C₂²×C₄	—	356	1	no	—
1300	C₂²×C₄	—	356	1	no	—
1301	C₂²×C₄	—	356	1	no	—
1302	C₂²×C₄	—	178	2	no	—
1303	C₂²×C₄	—	178	2	no	—
1304	C₂²×C₄	—	178	2	no	—
1305	C₂²×C₄	—	178	2	no	—
1306	C₂²×C₄	—	178	2	no	—
1307	C₂²×C₄	—	178	2	no	—
1308	C₂²×C₄	—	178	2	no	—
1309	C₂²×C₄	—	178	2	no	—
1310	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1311	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1312	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1313	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1314	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1315	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1316	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1317	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1318	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1320	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1321	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1322	C₄⋊C₄	—	356	1	no	—
1323	C₄⋊C₄	—	356	1	no	—
1324	C₄⋊C₄	—	356	1	no	—
1325	C₄⋊C₄	—	356	1	no	—
1326	C₄⋊C₄	—	356	1	no	—
1327	C₄⋊C₄	—	356	1	no	—
1328	C₄⋊C₄	—	356	1	no	—
1329	C₄⋊C₄	—	356	1	no	—
1330	C₄⋊C₄	—	356	1	no	—
1331	C₄⋊C₄	—	356	1	no	—
1332	C₄⋊C₄	—	356	1	no	—
1333	C₄⋊C₄	—	356	1	no	—
1334	C₄⋊C₄	—	356	1	no	—
1335	C₄⋊C₄	—	356	1	no	—
1336	C₄⋊C₄	—	178	2	no	—
1337	C₄⋊C₄	—	178	2	no	—
1338	C₄⋊C₄	—	178	2	no	—
1339	C₄⋊C₄	—	178	2	no	—
1340	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1341	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1342	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1343	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1344	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1345	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1346	C₂²⋊C₄	—	356	1	no	—
1347	C₂²⋊C₄	—	356	1	no	—
1348	C₂²⋊C₄	—	356	1	no	—
1349	C₂²⋊C₄	—	356	1	no	—
1350	C₂²⋊C₄	—	356	1	no	—
1351	C₂²⋊C₄	—	356	1	no	—
1352	C₂²⋊C₄	—	356	1	no	—
1353	C₂²⋊C₄	—	356	1	no	—
1354	C₂²⋊C₄	—	356	1	no	—
1355	C₂²⋊C₄	—	356	1	no	—
1356	C₂²⋊C₄	—	356	1	no	—
1357	C₂²⋊C₄	—	356	1	no	—
1358	C₂²⋊C₄	—	356	1	no	—
1359	C₂²⋊C₄	—	356	1	no	—
1360	C₂²⋊C₄	—	356	1	no	—
1361	C₂²⋊C₄	—	356	1	no	—
1362	C₂²⋊C₄	—	356	1	no	—
1363	C₂²⋊C₄	—	356	1	no	—
1364	C₂²⋊C₄	—	356	1	no	—
1365	C₂²⋊C₄	—	356	1	no	—
1366	C₂²⋊C₄	—	356	1	no	—
1367	C₂²⋊C₄	—	356	1	no	—
1368	C₂²⋊C₄	—	356	1	no	—
1369	C₂²⋊C₄	—	356	1	no	—
1370	C₂²⋊C₄	—	356	1	no	—
1371	C₂²⋊C₄	—	356	1	no	—
1372	C₂²⋊C₄	—	178	2	no	—
1373	C₂²⋊C₄	—	178	2	no	—
1374	C₂²⋊C₄	—	178	2	no	—
1375	C₂²⋊C₄	—	178	2	no	—
1376	C₂²⋊C₄	—	178	2	no	—
1377	C₂²⋊C₄	—	178	2	no	—
1378	C₂²⋊C₄	—	178	2	no	—
1379	C₂²⋊C₄	—	178	2	no	—
1380	C₂²⋊C₄	—	178	2	no	—
1381	C₂²⋊C₄	—	178	2	no	—
1382	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1383	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1384	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1385	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1386	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1387	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1388	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1389	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1390	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1391	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1392	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1393	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1394	C₄²	—	356	1	no	—
1395	C₄²	—	356	1	no	—
1396	C₄²	—	356	1	no	—
1397	C₄²	—	356	1	no	—
1398	C₄²	—	356	1	no	—
1399	C₄²	—	356	1	no	—
1400	C₄²	—	356	1	no	—
1401	C₄²	—	356	1	no	—
1402	C₄²	—	356	1	no	—
1403	C₄²	—	356	1	no	—
1404	C₄²	—	356	1	no	—
1405	C₄²	—	356	1	no	—
1406	C₄²	—	356	1	no	—
1407	C₄²	—	178	2	no	—
1408	C₄²	—	178	2	no	—
1409	C₄²	—	178	2	no	—
1410	C₄²	—	178	2	no	—
1411	C₄²	—	178	2	no	—
1412	C₄²	C₂²×Dic₈₉	1	4	yes	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	4	4	no	—
1450	C₂³	—	4	4	no	—
1451	C₂³	—	4	4	no	—
1452	C₂³	—	8	2	no	—
1453	C₂³	—	8	2	no	—
1454	C₂³	—	8	2	no	—
1455	C₂³	—	8	2	no	—
1456	C₂³	C₂³×Dic₈₉	1	2	yes	—
1457	C₂³	C₂³×Dic₈₉	1	2	yes	—
1458	C₂³	C₂³×Dic₈₉	1	2	yes	—
1459	C₂³	C₂³×Dic₈₉	1	2	yes	—
1460	C₂³	C₂³×Dic₈₉	1	2	yes	—
1461	C₂³	C₂³×Dic₈₉	1	2	yes	—
1462	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1463	D₄	—	4	4	no	—
1464	D₄	—	4	4	no	—
1465	D₄	—	4	4	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	4	no	—
1469	D₄	—	4	4	no	—
1470	D₄	—	4	4	no	—
1471	D₄	—	4	4	no	—
1472	D₄	—	4	4	no	—
1473	D₄	—	4	4	no	—
1474	D₄	—	4	4	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	4	4	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	89	2	no	—
1497	C₂×C₄	—	89	2	no	—
1498	C₂×C₄	—	89	2	no	—
1499	C₂×C₄	—	356	4	no	—
1500	C₂×C₄	—	356	4	no	—
1501	C₂×C₄	—	178	1	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	—	178	1	no	—
1516	C₂×C₄	—	178	1	no	—
1517	C₂×C₄	—	178	1	no	—
1518	C₂×C₄	—	178	1	no	—
1519	C₂×C₄	—	178	1	no	—
1520	C₂×C₄	—	178	1	no	—
1521	C₂×C₄	—	178	1	no	—
1522	C₂×C₄	—	178	1	no	—
1523	C₂×C₄	—	178	1	no	—
1524	C₂×C₄	—	178	1	no	—
1525	C₂×C₄	—	178	1	no	—
1526	C₂×C₄	—	178	1	no	—
1527	C₂×C₄	—	178	1	no	—
1528	C₂×C₄	—	178	1	no	—
1529	C₂×C₄	—	178	1	no	—
1530	C₂×C₄	—	178	1	no	—
1531	C₂×C₄	—	178	1	no	—
1532	C₂×C₄	—	178	1	no	—
1533	C₂×C₄	—	178	1	no	—
1534	C₂×C₄	—	178	1	no	—
1535	C₂×C₄	—	178	1	no	—
1536	C₂×C₄	—	178	1	no	—
1537	C₂×C₄	—	178	1	no	—
1538	C₂×C₄	—	178	1	no	—
1539	C₂×C₄	—	178	1	no	—
1540	C₂×C₄	—	178	1	no	—
1541	C₂×C₄	—	178	1	no	—
1542	C₂×C₄	—	178	1	no	—
1543	C₂×C₄	—	178	1	no	—
1544	C₂×C₄	—	178	1	no	—
1545	C₂×C₄	—	178	1	no	—
1546	C₂×C₄	—	712	2	no	—
1547	C₂×C₄	—	712	2	no	—
1548	C₂×C₄	—	712	2	no	—
1549	C₂×C₄	—	712	2	no	—
1550	C₂×C₄	—	712	2	no	—
1551	C₂×C₄	—	712	2	no	—
1552	C₂×C₄	—	712	2	no	—
1553	C₂×C₄	—	712	2	no	—
1554	C₂×C₄	—	712	2	no	—
1555	C₂×C₄	—	712	2	no	—
1556	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1557	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1558	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1559	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1560	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1561	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1562	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1563	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1564	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1565	C₂²	—	2	2	no	—
1566	C₂²	—	2	2	no	—
1567	C₂²	—	2	2	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	2	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	2	no	—
1572	C₂²	—	2	2	no	—
1573	C₂²	—	2	2	no	—
1574	C₂²	—	2	2	no	—
1575	C₂²	—	2	2	no	—
1576	C₂²	—	2	2	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	2	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	8	8	no	—
1608	C₂²	C₂⁴×Dic₈₉	1	1	yes	characteristic
1609	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1610	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1611	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1612	C₂²	#19152433	1	1	yes	characteristic
1613	C₂²	#19152433	1	1	yes	characteristic
1614	C₂²	#19152433	1	1	yes	characteristic
1615	C₄	—	2	2	no	—
1616	C₄	—	2	2	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	2	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	2	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	2	2	no	—
1624	C₄	—	356	1	no	—
1625	C₄	—	356	1	no	—
1626	C₄	—	356	1	no	—
1627	C₄	—	356	1	no	—
1628	C₄	—	356	1	no	—
1629	C₄	—	356	1	no	—
1630	C₄	—	356	1	no	—
1631	C₄	—	356	1	no	—
1632	C₄	—	356	1	no	—
1633	C₄	—	356	1	no	—
1634	C₄	—	356	1	no	—
1635	C₄	—	356	1	no	—
1636	C₄	—	356	1	no	—
1637	C₄	—	178	2	no	—
1638	C₄	—	178	2	no	—
1639	C₄	—	178	2	no	—
1640	C₂	—	4	2	no	—
1641	C₂	—	4	2	no	—
1642	C₂	—	4	2	no	—
1643	C₂	—	4	2	no	—
1644	C₂	—	4	2	no	—
1645	C₂	—	4	2	no	—
1646	C₂	H(5,𝔽₂)×Dic₈₉	1	1	yes	characteristic
1647	C₂	H(5,𝔽₂)×Dic₈₉	1	1	yes	characteristic
1648	C₂	H(5,𝔽₂)×Dic₈₉	1	1	yes	characteristic
1649	C₂	#26034433	1	1	yes	characteristic
1650	C₂	#26034557	1	1	yes	characteristic
1651	C₂	#26034615	1	1	yes	characteristic
1652	C₂	#26034909	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting, prime radical	C₂×#560×C₈₉	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
hypercenter	C₂×#560	D₈₉
hypocenter	C₈₉	#34517
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ C₂×#560

Complements

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

N	H ≅ G/N	type
1. #26023409	C₂	semidirect
2. #26023409	C₂	semidirect
3. #26023400	C₂	semidirect
4. #26023376	C₂	semidirect
5. #26023376	C₂	semidirect
6. #26023317	C₂	semidirect
7. #26023304	C₂	semidirect
8. #26023304	C₂	semidirect
9. #26023294	C₂	semidirect
10. #26023294	C₂	semidirect
11. #26023248	C₂	semidirect
12. #26023248	C₂	semidirect
13. #26023236	C₂	semidirect
14. #26023236	C₂	semidirect
15. #26023236	C₂	semidirect
16. #26023046	C₂	semidirect
17. #26023046	C₂	semidirect
18. #26023031	C₂	semidirect
19. #26023031	C₂	semidirect
20. #26022978	C₂	semidirect
21. #26022957	C₂	semidirect
22. #26022957	C₂	semidirect
23. #26022947	C₂	semidirect
24. #26022947	C₂	semidirect
25. #26022913	C₂	semidirect
26. #26022913	C₂	semidirect
27. #26022913	C₂	semidirect
28. #123×Dic₈₉	C₂	semidirect
29. #121×Dic₈₉	C₂	semidirect
30. #121×Dic₈₉	C₂	semidirect
41. C₂×D₄×Dic₈₉	C₂²	semidirect
42. C₂×D₄×Dic₈₉	C₂²	semidirect
43. C₂×D₄×Dic₈₉	C₂²	semidirect
44. C₂×#15667971	C₂²	semidirect
45. C₂×#15667971	C₂²	semidirect
49. C₂²×C₄×Dic₈₉	C₂²	semidirect
59. #19151501	C₂²	semidirect
60. #19151501	C₂²	semidirect
61. #19151501	C₂²	semidirect
62. #19151497	C₂²	semidirect
63. #19151497	C₂²	semidirect
64. #19151497	C₂²	semidirect
65. #19151497	C₂²	semidirect
66. #19151497	C₂²	semidirect
67. #19151497	C₂²	semidirect
86. #19151491	C₂²	semidirect
87. #19151491	C₂²	semidirect
88. #19151491	C₂²	semidirect
89. #19151491	C₂²	semidirect
90. #19151491	C₂²	semidirect
91. #19151491	C₂²	semidirect
92. #19151484	C₂²	semidirect
93. #19151484	C₂²	semidirect
94. #19151484	C₂²	semidirect
95. #19151484	C₂²	semidirect
96. #19151484	C₂²	semidirect
97. #19151484	C₂²	semidirect
98. #19151484	C₂²	semidirect
99. #19151484	C₂²	semidirect
100. #19151484	C₂²	semidirect
101. #19151484	C₂²	semidirect
102. #19151484	C₂²	semidirect
103. #19151484	C₂²	semidirect
122. #19151478	C₂²	semidirect
123. #19151478	C₂²	semidirect
124. #19151478	C₂²	semidirect
125. #19151478	C₂²	semidirect
126. #19151478	C₂²	semidirect
127. #19151478	C₂²	semidirect
137. #19151473	C₂²	semidirect
138. #19151473	C₂²	semidirect
139. #19151473	C₂²	semidirect
140. #19151464	C₂²	semidirect
141. #19151461	C₂²	semidirect
142. #19151458	C₂²	semidirect
143. #19151458	C₂²	semidirect
144. #19151458	C₂²	semidirect
145. #19151458	C₂²	semidirect
147. C₄⋊C₄×Dic₈₉	C₂²	semidirect
148. C₄⋊C₄×Dic₈₉	C₂²	semidirect
149. C₄⋊C₄×Dic₈₉	C₂²	semidirect
150. C₄⋊C₄×Dic₈₉	C₂²	semidirect
151. C₄⋊C₄×Dic₈₉	C₂²	semidirect
152. C₄⋊C₄×Dic₈₉	C₂²	semidirect
153. C₄×C₄⋊Dic₈₉	C₂²	semidirect
154. C₄×C₄⋊Dic₈₉	C₂²	semidirect
164. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
165. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
166. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
167. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
168. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
169. #19151444	C₂²	semidirect
170. C₂×#15667919	C₂²	semidirect
171. C₂×#15667919	C₂²	semidirect
172. #560×C₈₉	C₄	semidirect
342. #127×C₈₉	C₂×C₄	semidirect
343. #126×C₈₉	C₂×C₄	semidirect
344. #126×C₈₉	C₂×C₄	semidirect
345. #123×C₈₉	C₂×C₄	semidirect
346. #123×C₈₉	C₂×C₄	semidirect
347. #123×C₈₉	C₂×C₄	semidirect
348. #121×C₈₉	C₂×C₄	semidirect
349. #121×C₈₉	C₂×C₄	semidirect
350. #121×C₈₉	C₂×C₄	semidirect
351. #121×C₈₉	C₂×C₄	semidirect
352. #121×C₈₉	C₂×C₄	semidirect
353. #121×C₈₉	C₂×C₄	semidirect
354. #120×C₈₉	C₂×C₄	semidirect
355. #120×C₈₉	C₂×C₄	semidirect
356. #120×C₈₉	C₂×C₄	semidirect
858. C₈₉	#34517	semidirect
859. #560	Dic₈₉	semidirect
1043. #127	C₂×Dic₈₉	semidirect
1044. #126	C₂×Dic₈₉	semidirect
1045. #126	C₂×Dic₈₉	semidirect
1046. #123	C₂×Dic₈₉	semidirect
1047. #123	C₂×Dic₈₉	semidirect
1048. #123	C₂×Dic₈₉	semidirect
1049. #121	C₂×Dic₈₉	semidirect
1050. #121	C₂×Dic₈₉	semidirect
1051. #121	C₂×Dic₈₉	semidirect
1052. #121	C₂×Dic₈₉	semidirect
1053. #121	C₂×Dic₈₉	semidirect
1054. #121	C₂×Dic₈₉	semidirect
1055. #120	C₂×Dic₈₉	semidirect
1056. #120	C₂×Dic₈₉	semidirect
1057. #120	C₂×Dic₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26023409	2
#26023400	2
#26023376	2
#26023317	2
#26023304	2
#26023294	2
#26023248	2
#26023236	2
#26023046	2
#26023031	2
#26022978	2
#26022957	2
#26022947	2
#26022913	2
#123×Dic₈₉	2
#121×Dic₈₉	2
C₂×#560×C₈₉	2
#34517	89