Subgroups — #36720191

Order 22784.

2140 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26023444	C₂	1	1	yes	maximal, characteristic, complemented
2	#26023409	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023409	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023409	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023388	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023376	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023358	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023294	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023248	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023225	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023201	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023192	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023192	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023121	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023112	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023058	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	#26023019	C₂	1	1	yes	maximal, characteristic, complemented
21	#26023019	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	#26022895	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022885	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022861	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022855	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022697	C₂	1	1	yes	maximal, characteristic, complemented
30	#26022697	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#553×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×#15667971	C₂²	1	1	yes	characteristic
35	C₂×#15667971	C₂²	1	1	yes	characteristic
36	C₂×#15667971	C₂²	1	1	yes	characteristic
37	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
38	#19151501	C₂²	1	1	yes	characteristic
39	#19151501	C₂²	1	1	yes	characteristic
40	#19151501	C₂²	1	1	yes	characteristic
41	#19151501	C₂²	1	1	yes	characteristic
42	#19151501	C₂²	1	1	yes	characteristic
43	#19151501	C₂²	1	1	yes	characteristic
44	#19151501	C₂²	1	1	yes	characteristic
45	#19151501	C₂²	1	1	yes	characteristic
46	#19151497	C₂²	1	1	yes	characteristic
47	#19151497	C₂²	1	1	yes	characteristic
48	#19151497	C₂²	1	1	yes	characteristic
49	#19151497	C₂²	1	1	yes	characteristic
50	#19151497	C₂²	1	1	yes	characteristic
51	#19151497	C₂²	1	1	yes	characteristic
52	#19151491	C₂²	1	1	yes	characteristic
53	#19151491	C₂²	1	1	yes	characteristic
54	#19151491	C₂²	1	1	yes	characteristic
55	#19151491	C₂²	1	1	yes	characteristic
56	#19151491	C₂²	1	1	yes	characteristic
57	#19151491	C₂²	1	1	yes	characteristic
58	#19151491	C₂²	1	1	yes	characteristic
59	#19151491	C₂²	1	1	yes	characteristic
60	#19151491	C₂²	1	1	yes	characteristic
61	#19151491	C₂²	1	1	yes	characteristic
62	#19151491	C₂²	1	1	yes	characteristic
63	#19151491	C₂²	1	1	yes	characteristic
64	#19151491	C₂²	1	1	yes	characteristic
65	#19151491	C₂²	1	1	yes	characteristic
66	#19151491	C₂²	1	1	yes	characteristic
67	#19151491	C₂²	1	1	yes	characteristic
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	#19151484	C₂²	1	1	yes	characteristic
75	#19151484	C₂²	1	1	yes	characteristic
76	#19151484	C₂²	1	1	yes	characteristic
77	#19151484	C₂²	1	1	yes	characteristic
78	#19151484	C₂²	1	1	yes	characteristic
79	#19151484	C₂²	1	1	yes	characteristic
80	#19151484	C₂²	1	1	yes	characteristic
81	#19151484	C₂²	1	1	yes	characteristic
82	#19151484	C₂²	1	1	yes	characteristic
83	#19151484	C₂²	1	1	yes	characteristic
84	#19151484	C₂²	1	1	yes	characteristic
85	#19151484	C₂²	1	1	yes	characteristic
86	#19151484	C₂²	1	1	yes	characteristic
87	#19151484	C₂²	1	1	yes	characteristic
88	#19151484	C₂²	1	1	yes	characteristic
89	#19151484	C₂²	1	1	yes	characteristic
90	#19151484	C₂²	1	1	yes	characteristic
91	#19151484	C₂²	1	1	yes	characteristic
92	#19151484	C₂²	1	1	yes	characteristic
93	#19151484	C₂²	1	1	yes	characteristic
94	#19151484	C₂²	1	1	yes	characteristic
95	#19151484	C₂²	1	1	yes	characteristic
96	#19151484	C₂²	1	1	yes	characteristic
97	#19151484	C₂²	1	1	yes	characteristic
98	#19151484	C₂²	1	1	yes	characteristic
99	#19151484	C₂²	1	1	yes	characteristic
100	#19151478	C₂²	1	1	yes	characteristic
101	#19151478	C₂²	1	1	yes	characteristic
102	#19151478	C₂²	1	1	yes	characteristic
103	#19151478	C₂²	1	1	yes	characteristic
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	#19151473	C₂²	1	1	yes	characteristic
115	#19151473	C₂²	1	1	yes	characteristic
116	#19151473	C₂²	1	1	yes	characteristic
117	#19151473	C₂²	1	1	yes	characteristic
118	#19151473	C₂²	1	1	yes	characteristic
119	#19151473	C₂²	1	1	yes	characteristic
120	#19151473	C₂²	1	1	yes	characteristic
121	#19151473	C₂²	1	1	yes	characteristic
122	#19151473	C₂²	1	1	yes	characteristic
123	#19151473	C₂²	1	1	yes	characteristic
124	#19151468	C₂²	1	1	yes	characteristic
125	#19151466	C₂²	1	1	yes	characteristic
126	#19151466	C₂²	1	1	yes	characteristic
127	#19151464	C₂²	1	1	yes	characteristic
128	#19151464	C₂²	1	1	yes	characteristic
129	#19151461	C₂²	1	1	yes	characteristic
130	#19151461	C₂²	1	1	yes	characteristic
131	#19151461	C₂²	1	1	yes	characteristic
132	#19151461	C₂²	1	1	yes	characteristic
133	#19151461	C₂²	1	1	yes	characteristic
134	#19151461	C₂²	1	1	yes	characteristic
135	#19151458	C₂²	1	1	yes	characteristic
136	#19151458	C₂²	1	1	yes	characteristic
137	#19151458	C₂²	1	1	yes	characteristic
138	#19151458	C₂²	1	1	yes	characteristic
139	#19151458	C₂²	1	1	yes	characteristic
140	#19151458	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
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	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
167	#19151444	C₂²	1	1	yes	characteristic
168	#19151444	C₂²	1	1	yes	characteristic
169	#19151444	C₂²	1	1	yes	characteristic
170	C₂×#15667919	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic
172	#553×C₈₉	C₄	1	16	yes	complemented
173	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#125×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×#121×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×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
183	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
187	C₂²×C₄⋊C₄×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	D₄×Dic₈₉	—	4	2	no	—
195	D₄×Dic₈₉	—	4	2	no	—
196	#15667971	—	4	2	no	—
197	#15667971	—	4	2	no	—
198	#15667971	—	4	2	no	—
199	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×C₄×Dic₈₉	—	4	2	no	—
246	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
266	#15667919	C₂³	1	1	yes	characteristic
267	#15667919	C₂³	1	1	yes	characteristic
268	#15667919	C₂³	1	1	yes	characteristic
269	#15667919	C₂³	1	1	yes	characteristic
270	#15667919	C₂³	1	1	yes	characteristic
271	#15667919	C₂³	1	1	yes	characteristic
272	#15667919	C₂³	1	1	yes	characteristic
273	#15667919	C₂³	1	1	yes	characteristic
274	#15667919	C₂³	1	1	yes	characteristic
275	#15667919	C₂³	1	1	yes	characteristic
276	#15667919	C₂³	1	1	yes	characteristic
277	#15667919	C₂³	1	1	yes	characteristic
278	#15667919	C₂³	1	1	yes	characteristic
279	#15667919	C₂³	1	1	yes	characteristic
280	#15667919	C₂³	1	1	yes	characteristic
281	#15667919	C₂³	1	1	yes	characteristic
282	#15667919	C₂³	1	1	yes	characteristic
283	#15667919	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
315	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
316	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
318	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
326	#126×C₈₉	C₂×C₄	1	8	yes	complemented
327	#126×C₈₉	C₂×C₄	1	8	yes	complemented
328	#125×C₈₉	C₂×C₄	1	8	yes	complemented
329	#123×C₈₉	C₂×C₄	1	8	yes	complemented
330	#123×C₈₉	C₂×C₄	1	8	yes	complemented
331	#121×C₈₉	C₂×C₄	1	8	yes	—
332	#121×C₈₉	C₂×C₄	1	8	yes	complemented
333	#121×C₈₉	C₂×C₄	1	8	yes	complemented
334	#121×C₈₉	C₂×C₄	1	8	yes	complemented
335	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
336	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
337	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
338	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
339	#117×C₈₉	C₂×C₄	1	8	yes	complemented
340	C₂×C₄⋊C₄×C₈₉	C₂×C₄	1	8	yes	complemented
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
364	C₂²×Dic₈₉	—	2	2	no	—
365	C₂²×Dic₈₉	—	2	2	no	—
366	C₂²×Dic₈₉	—	4	1	no	—
367	C₂²×Dic₈₉	—	4	1	no	—
368	C₂²×Dic₈₉	—	4	1	no	—
369	C₂²×Dic₈₉	—	4	1	no	—
370	C₂²×Dic₈₉	—	4	1	no	—
371	C₂²×Dic₈₉	—	4	1	no	—
372	C₂²×Dic₈₉	—	4	1	no	—
373	C₂²×Dic₈₉	—	4	1	no	—
374	C₂²×Dic₈₉	—	4	1	no	—
375	C₂²×Dic₈₉	—	4	1	no	—
376	C₂²×Dic₈₉	—	4	1	no	—
377	C₂²×Dic₈₉	—	4	1	no	—
378	C₂²×Dic₈₉	—	4	1	no	—
379	C₂²×Dic₈₉	—	4	1	no	—
380	C₂²×Dic₈₉	—	4	1	no	—
381	C₂²×Dic₈₉	—	4	1	no	—
382	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
398	C₄⋊Dic₈₉	—	2	2	no	—
399	C₄⋊Dic₈₉	—	2	2	no	—
400	C₄⋊Dic₈₉	—	4	1	no	—
401	C₄⋊Dic₈₉	—	4	1	no	—
402	C₄⋊Dic₈₉	—	4	1	no	—
403	C₄⋊Dic₈₉	—	4	1	no	—
404	C₄⋊Dic₈₉	—	4	1	no	—
405	C₄⋊Dic₈₉	—	4	1	no	—
406	C₄⋊Dic₈₉	—	4	1	no	—
407	C₄⋊Dic₈₉	—	4	1	no	—
408	C₄⋊Dic₈₉	—	4	1	no	—
409	C₄⋊Dic₈₉	—	4	1	no	—
410	C₄⋊Dic₈₉	—	4	1	no	—
411	C₄⋊Dic₈₉	—	4	1	no	—
412	C₄⋊Dic₈₉	—	4	1	no	—
413	C₄⋊Dic₈₉	—	4	1	no	—
414	C₄⋊Dic₈₉	—	4	1	no	—
415	C₄⋊Dic₈₉	—	4	1	no	—
416	C₄⋊Dic₈₉	—	4	1	no	—
417	C₄⋊Dic₈₉	—	4	1	no	—
418	C₂²⋊Dic₈₉	—	2	2	no	—
419	C₂²⋊Dic₈₉	—	2	2	no	—
420	C₂²⋊Dic₈₉	—	4	1	no	—
421	C₂²⋊Dic₈₉	—	4	1	no	—
422	C₂²⋊Dic₈₉	—	4	1	no	—
423	C₂²⋊Dic₈₉	—	4	1	no	—
424	C₂²⋊Dic₈₉	—	4	1	no	—
425	C₂²⋊Dic₈₉	—	4	1	no	—
426	C₂²⋊Dic₈₉	—	4	1	no	—
427	C₂²⋊Dic₈₉	—	4	1	no	—
428	C₂²⋊Dic₈₉	—	4	1	no	—
429	C₂²⋊Dic₈₉	—	4	1	no	—
430	C₂²⋊Dic₈₉	—	4	1	no	—
431	C₂²⋊Dic₈₉	—	4	1	no	—
432	C₂²⋊Dic₈₉	—	4	1	no	—
433	C₂²⋊Dic₈₉	—	4	1	no	—
434	C₂²⋊Dic₈₉	—	4	1	no	—
435	C₂²⋊Dic₈₉	—	4	1	no	—
436	C₂²⋊Dic₈₉	—	4	1	no	—
437	C₂²⋊Dic₈₉	—	4	1	no	—
438	C₂²⋊Dic₈₉	—	4	1	no	—
439	C₂²⋊Dic₈₉	—	4	1	no	—
440	C₂²⋊Dic₈₉	—	4	1	no	—
441	C₂²⋊Dic₈₉	—	4	1	no	—
442	C₂²⋊Dic₈₉	—	4	1	no	—
443	C₂²⋊Dic₈₉	—	4	1	no	—
444	C₄×Dic₈₉	—	2	2	no	—
445	C₄×Dic₈₉	—	2	2	no	—
446	C₄×Dic₈₉	—	2	2	no	—
447	C₄×Dic₈₉	—	4	1	no	—
448	C₄×Dic₈₉	—	4	1	no	—
449	C₄×Dic₈₉	—	4	1	no	—
450	C₄×Dic₈₉	—	4	1	no	—
451	C₄×Dic₈₉	—	4	1	no	—
452	C₄×Dic₈₉	—	4	1	no	—
453	C₄×Dic₈₉	—	4	1	no	—
454	C₄×Dic₈₉	—	4	1	no	—
455	C₄×Dic₈₉	—	4	1	no	—
456	C₄×Dic₈₉	—	4	1	no	—
457	C₄×Dic₈₉	—	4	1	no	—
458	C₄×Dic₈₉	—	4	1	no	—
459	C₄×Dic₈₉	—	4	1	no	—
460	C₄×Dic₈₉	—	4	1	no	—
461	C₄×Dic₈₉	—	4	1	no	—
462	C₄×Dic₈₉	—	4	1	no	—
463	C₄×Dic₈₉	—	4	1	no	—
464	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
465	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
466	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
467	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
468	C₂×D₄×C₈₉	—	4	1	no	—
469	C₂×D₄×C₈₉	—	4	1	no	—
470	C₂×D₄×C₈₉	—	4	1	no	—
471	C₂×D₄×C₈₉	—	4	1	no	—
472	C₂×D₄×C₈₉	—	4	1	no	—
473	C₂×D₄×C₈₉	—	4	1	no	—
474	C₂×D₄×C₈₉	—	4	1	no	—
475	C₂×D₄×C₈₉	—	4	1	no	—
476	C₂×D₄×C₈₉	—	4	1	no	—
477	C₂×D₄×C₈₉	—	4	1	no	—
478	C₂×D₄×C₈₉	—	4	1	no	—
479	C₂×D₄×C₈₉	—	4	1	no	—
480	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
481	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
482	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
483	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
484	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
485	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
486	C₂²×C₄×C₈₉	—	4	1	no	—
487	C₂²×C₄×C₈₉	—	4	1	no	—
488	C₂²×C₄×C₈₉	—	4	1	no	—
489	C₂²×C₄×C₈₉	—	4	1	no	—
490	C₂²×C₄×C₈₉	—	4	1	no	—
491	C₂²×C₄×C₈₉	—	4	1	no	—
492	C₂²×C₄×C₈₉	—	4	1	no	—
493	C₂²×C₄×C₈₉	—	4	1	no	—
494	C₂²×C₄×C₈₉	—	4	1	no	—
495	C₂²×C₄×C₈₉	—	4	1	no	—
496	C₂²×C₄×C₈₉	—	4	1	no	—
497	C₂²×C₄×C₈₉	—	4	1	no	—
498	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
499	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
500	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
501	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
502	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
503	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
504	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
515	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
516	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
517	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
518	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
519	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
520	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
521	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
522	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
523	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
524	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
525	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
526	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
527	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
528	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
529	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
530	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
531	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
532	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
533	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
534	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
535	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
536	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
537	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
538	C₂³×C₈₉	—	2	1	no	—
539	C₂³×C₈₉	—	2	1	no	—
540	C₂³×C₈₉	—	2	1	no	—
541	C₂³×C₈₉	—	2	1	no	—
542	C₂³×C₈₉	—	2	1	no	—
543	C₂³×C₈₉	—	2	1	no	—
544	C₂³×C₈₉	—	2	1	no	—
545	C₂³×C₈₉	—	2	1	no	—
546	C₂³×C₈₉	—	2	1	no	—
547	C₂³×C₈₉	—	2	1	no	—
548	C₂³×C₈₉	—	2	1	no	—
549	C₂³×C₈₉	—	2	1	no	—
550	C₂³×C₈₉	—	2	1	no	—
551	C₂³×C₈₉	—	2	1	no	—
552	C₂³×C₈₉	—	2	1	no	—
553	C₂³×C₈₉	—	2	1	no	—
554	C₂³×C₈₉	—	2	1	no	—
555	C₂³×C₈₉	—	2	1	no	—
556	C₂³×C₈₉	—	2	1	no	—
557	C₂³×C₈₉	—	2	1	no	—
558	C₂³×C₈₉	—	2	1	no	—
559	C₂³×C₈₉	—	2	1	no	—
560	C₂³×C₈₉	—	2	1	no	—
561	C₂³×C₈₉	—	2	1	no	—
562	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
563	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
564	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
565	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
566	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
567	D₄×C₈₉	—	4	4	no	—
568	D₄×C₈₉	—	4	4	no	—
569	D₄×C₈₉	—	4	4	no	—
570	D₄×C₈₉	—	4	4	no	—
571	D₄×C₈₉	—	4	4	no	—
572	D₄×C₈₉	—	4	4	no	—
573	C₂×C₄×C₈₉	—	2	1	no	—
574	C₂×C₄×C₈₉	—	2	1	no	—
575	C₂×C₄×C₈₉	—	2	1	no	—
576	C₂×C₄×C₈₉	—	2	1	no	—
577	C₂×C₄×C₈₉	—	2	1	no	—
578	C₂×C₄×C₈₉	—	2	1	no	—
579	C₂×C₄×C₈₉	—	2	1	no	—
580	C₂×C₄×C₈₉	—	2	1	no	—
581	C₂×C₄×C₈₉	—	2	1	no	—
582	C₂×C₄×C₈₉	—	2	1	no	—
583	C₂×C₄×C₈₉	—	2	1	no	—
584	C₂×C₄×C₈₉	—	2	1	no	—
585	C₂×C₄×C₈₉	—	2	1	no	—
586	C₂×C₄×C₈₉	—	2	1	no	—
587	C₂×C₄×C₈₉	—	2	1	no	—
588	C₂×C₄×C₈₉	—	2	1	no	—
589	C₂×C₄×C₈₉	—	2	1	no	—
590	C₂×C₄×C₈₉	—	2	1	no	—
591	C₂×C₄×C₈₉	—	2	1	no	—
592	C₂×C₄×C₈₉	—	2	1	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	4	4	no	—
596	C₂×C₄×C₈₉	—	4	4	no	—
597	C₂×C₄×C₈₉	—	4	4	no	—
598	C₂×C₄×C₈₉	—	4	4	no	—
599	C₂×C₄×C₈₉	—	4	4	no	—
600	C₂×C₄×C₈₉	—	4	4	no	—
601	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
602	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
603	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
604	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
612	C₂×Dic₈₉	—	2	1	no	—
613	C₂×Dic₈₉	—	2	1	no	—
614	C₂×Dic₈₉	—	2	1	no	—
615	C₂×Dic₈₉	—	2	1	no	—
616	C₂×Dic₈₉	—	2	1	no	—
617	C₂×Dic₈₉	—	2	1	no	—
618	C₂×Dic₈₉	—	2	1	no	—
619	C₂×Dic₈₉	—	2	1	no	—
620	C₂×Dic₈₉	—	2	1	no	—
621	C₂×Dic₈₉	—	2	1	no	—
622	C₂×Dic₈₉	—	2	1	no	—
623	C₂×Dic₈₉	—	2	1	no	—
624	C₂×Dic₈₉	—	2	1	no	—
625	C₂×Dic₈₉	—	2	1	no	—
626	C₂×Dic₈₉	—	2	1	no	—
627	C₂×Dic₈₉	—	2	1	no	—
628	C₂×Dic₈₉	—	2	1	no	—
629	C₂×Dic₈₉	—	2	1	no	—
630	C₂×Dic₈₉	—	2	1	no	—
631	C₂×Dic₈₉	—	2	1	no	—
632	C₂×Dic₈₉	—	2	1	no	—
633	C₂×Dic₈₉	—	2	1	no	—
634	C₂×Dic₈₉	—	2	1	no	—
635	C₂×Dic₈₉	—	2	1	no	—
636	C₂×Dic₈₉	—	2	1	no	—
637	C₂×Dic₈₉	—	2	1	no	—
638	C₂×Dic₈₉	—	2	1	no	—
639	C₂×Dic₈₉	—	2	1	no	—
640	C₂×Dic₈₉	—	2	1	no	—
641	C₂×Dic₈₉	—	2	1	no	—
642	C₂×Dic₈₉	—	2	1	no	—
643	C₂×Dic₈₉	—	2	1	no	—
644	C₂×Dic₈₉	—	2	1	no	—
645	C₂×Dic₈₉	—	2	1	no	—
646	C₂×Dic₈₉	—	2	1	no	—
647	C₂×Dic₈₉	—	2	1	no	—
648	C₂×Dic₈₉	—	2	1	no	—
649	C₂×Dic₈₉	—	2	1	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	4	4	no	—
660	C₂×Dic₈₉	—	4	4	no	—
661	C₂×Dic₈₉	—	8	2	no	—
662	C₂×Dic₈₉	—	8	2	no	—
663	C₂×Dic₈₉	—	8	2	no	—
664	C₂×Dic₈₉	—	8	2	no	—
665	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
666	C₂²×C₈₉	—	2	2	no	—
667	C₂²×C₈₉	—	2	2	no	—
668	C₂²×C₈₉	—	2	2	no	—
669	C₂²×C₈₉	—	2	2	no	—
670	C₂²×C₈₉	—	2	2	no	—
671	C₂²×C₈₉	—	2	2	no	—
672	C₂²×C₈₉	—	2	2	no	—
673	C₂²×C₈₉	—	2	2	no	—
674	C₂²×C₈₉	—	2	2	no	—
675	C₂²×C₈₉	—	2	2	no	—
676	C₂²×C₈₉	—	2	2	no	—
677	C₂²×C₈₉	—	2	2	no	—
678	C₂²×C₈₉	—	4	1	no	—
679	C₂²×C₈₉	—	4	1	no	—
680	C₂²×C₈₉	—	4	1	no	—
681	C₂²×C₈₉	—	4	1	no	—
682	C₂²×C₈₉	—	4	1	no	—
683	C₂²×C₈₉	—	4	1	no	—
684	C₂²×C₈₉	—	4	1	no	—
685	C₂²×C₈₉	—	4	1	no	—
686	C₂²×C₈₉	—	4	1	no	—
687	C₂²×C₈₉	—	4	1	no	—
688	C₂²×C₈₉	—	4	1	no	—
689	C₂²×C₈₉	—	4	1	no	—
690	C₂²×C₈₉	—	4	1	no	—
691	C₂²×C₈₉	—	4	1	no	—
692	C₂²×C₈₉	—	4	1	no	—
693	C₂²×C₈₉	—	4	1	no	—
694	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
695	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₂²×C₈₉	#585	1	1	yes	characteristic
697	C₂²×C₈₉	#585	1	1	yes	characteristic
698	C₂²×C₈₉	#585	1	1	yes	characteristic
699	C₂²×C₈₉	#585	1	1	yes	characteristic
700	C₂²×C₈₉	#585	1	1	yes	characteristic
701	C₄×C₈₉	—	2	2	no	—
702	C₄×C₈₉	—	2	2	no	—
703	C₄×C₈₉	—	2	2	no	—
704	C₄×C₈₉	—	2	2	no	—
705	C₄×C₈₉	—	2	2	no	—
706	C₄×C₈₉	—	2	2	no	—
707	C₄×C₈₉	—	2	2	no	—
708	C₄×C₈₉	—	2	2	no	—
709	C₄×C₈₉	—	2	2	no	—
710	C₄×C₈₉	—	2	2	no	—
711	C₄×C₈₉	—	2	2	no	—
712	Dic₈₉	—	2	2	no	—
713	Dic₈₉	—	4	1	no	—
714	Dic₈₉	—	4	1	no	—
715	Dic₈₉	—	4	1	no	—
716	Dic₈₉	—	4	1	no	—
717	Dic₈₉	—	4	1	no	—
718	Dic₈₉	—	4	1	no	—
719	Dic₈₉	—	4	1	no	—
720	Dic₈₉	—	4	1	no	—
721	Dic₈₉	—	4	1	no	—
722	Dic₈₉	—	4	1	no	—
723	Dic₈₉	—	4	1	no	—
724	Dic₈₉	—	4	1	no	—
725	Dic₈₉	—	4	1	no	—
726	Dic₈₉	—	4	1	no	—
727	Dic₈₉	—	4	1	no	—
728	#34509	—	89	1	no	maximal, Sylow
729	C₂×C₈₉	—	4	2	no	—
730	C₂×C₈₉	—	4	2	no	—
731	C₂×C₈₉	—	4	2	no	—
732	C₂×C₈₉	—	4	2	no	—
733	C₂×C₈₉	#3428	1	1	yes	characteristic
734	C₂×C₈₉	#3428	1	1	yes	characteristic
735	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂×C₈₉	#3533	1	1	yes	characteristic
737	C₂×C₈₉	#3539	1	1	yes	characteristic
738	C₂×C₈₉	#3566	1	1	yes	characteristic
739	C₂×C₈₉	#3566	1	1	yes	characteristic
740	C₂×#553	D₈₉	1	1	yes	characteristic
741	#2383	—	89	1	no	—
742	#2377	—	89	1	no	—
743	#2377	—	89	1	no	—
744	#2377	—	89	1	no	—
745	#2374	—	89	1	no	—
746	#2373	—	89	1	no	—
747	#2371	—	89	1	no	—
748	#2363	—	89	1	no	—
749	#2359	—	89	1	no	—
750	#2357	—	89	1	no	—
751	#2354	—	89	1	no	—
752	#2353	—	89	1	no	—
753	#2353	—	89	1	no	—
754	#2344	—	89	1	no	—
755	#2343	—	89	1	no	—
756	#2336	—	89	1	no	—
757	#2335	—	89	1	no	—
758	#2334	—	89	1	no	—
759	#2334	—	89	1	no	—
760	#2333	—	89	1	no	—
761	#2333	—	89	1	no	—
762	#2325	—	89	1	no	—
763	#2324	—	89	1	no	—
764	#2319	—	89	1	no	—
765	#2318	—	89	1	no	—
766	#2314	—	89	1	no	—
767	#2313	—	89	1	no	—
768	C₄×#123	—	89	1	no	—
769	#2290	—	89	1	no	—
770	#2290	—	89	1	no	—
771	C₈₉	#34509	1	1	yes	characteristic, complemented, Sylow
772	#553	Dic₈₉	1	16	yes	complemented
773	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
774	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
775	C₂×#125	C₂×D₈₉	1	1	yes	characteristic
776	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
777	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
778	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
779	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
780	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
781	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
782	C₂×C₄×D₄	—	89	1	no	—
783	C₂×C₄×D₄	—	89	1	no	—
784	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
785	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
786	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
787	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
788	C₂×#117	—	89	1	no	—
789	C₂×#117	—	89	1	no	—
790	C₂×#117	—	89	1	no	—
791	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
792	C₂²×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
793	C₂²×C₄²	—	89	1	no	—
794	#390	—	89	1	no	—
795	#390	—	89	1	no	—
796	#390	—	89	1	no	—
797	#390	—	89	1	no	—
798	#390	—	89	1	no	—
799	#390	—	89	1	no	—
800	#390	—	89	1	no	—
801	#390	—	89	1	no	—
802	#389	—	89	1	no	—
803	#389	—	89	1	no	—
804	#389	—	89	1	no	—
805	#389	—	89	1	no	—
806	#389	—	89	1	no	—
807	#389	—	89	1	no	—
808	#388	—	89	1	no	—
809	#388	—	89	1	no	—
810	#388	—	89	1	no	—
811	#388	—	89	1	no	—
812	#388	—	89	1	no	—
813	#388	—	89	1	no	—
814	#388	—	89	1	no	—
815	#388	—	89	1	no	—
816	#388	—	89	1	no	—
817	#388	—	89	1	no	—
818	#388	—	89	1	no	—
819	#388	—	89	1	no	—
820	#388	—	89	1	no	—
821	#388	—	89	1	no	—
822	#388	—	89	1	no	—
823	#388	—	89	1	no	—
824	#388	—	89	1	no	—
825	#388	—	89	1	no	—
826	#388	—	89	1	no	—
827	#388	—	89	1	no	—
828	#388	—	89	1	no	—
829	#388	—	89	1	no	—
830	#387	—	89	1	no	—
831	#387	—	89	1	no	—
832	#387	—	89	1	no	—
833	#387	—	89	1	no	—
834	#387	—	89	1	no	—
835	#387	—	89	1	no	—
836	#387	—	89	1	no	—
837	#387	—	89	1	no	—
838	#387	—	89	1	no	—
839	#387	—	89	1	no	—
840	#387	—	89	1	no	—
841	#387	—	89	1	no	—
842	#387	—	89	1	no	—
843	#387	—	89	1	no	—
844	#387	—	89	1	no	—
845	#387	—	89	1	no	—
846	#387	—	89	1	no	—
847	#387	—	89	1	no	—
848	#387	—	89	1	no	—
849	#387	—	89	1	no	—
850	#387	—	89	1	no	—
851	#387	—	89	1	no	—
852	#387	—	89	1	no	—
853	#387	—	89	1	no	—
854	#387	—	89	1	no	—
855	#387	—	89	1	no	—
856	#386	—	89	1	no	—
857	#386	—	89	1	no	—
858	#386	—	89	1	no	—
859	#386	—	89	1	no	—
860	#386	—	89	1	no	—
861	#386	—	89	1	no	—
862	#386	—	89	1	no	—
863	#386	—	89	1	no	—
864	#386	—	89	1	no	—
865	#386	—	89	1	no	—
866	#386	—	89	1	no	—
867	#386	—	89	1	no	—
868	#386	—	89	1	no	—
869	#386	—	89	1	no	—
870	#385	—	89	1	no	—
871	#385	—	89	1	no	—
872	#385	—	89	1	no	—
873	#385	—	89	1	no	—
874	#385	—	89	1	no	—
875	#385	—	89	1	no	—
876	#385	—	89	1	no	—
877	#385	—	89	1	no	—
878	#385	—	89	1	no	—
879	#385	—	89	1	no	—
880	#384	—	89	1	no	—
881	#383	—	89	1	no	—
882	#383	—	89	1	no	—
883	#382	—	89	1	no	—
884	#382	—	89	1	no	—
885	#381	—	89	1	no	—
886	#381	—	89	1	no	—
887	#381	—	89	1	no	—
888	#381	—	89	1	no	—
889	#381	—	89	1	no	—
890	#381	—	89	1	no	—
891	#380	—	89	1	no	—
892	#380	—	89	1	no	—
893	#380	—	89	1	no	—
894	#380	—	89	1	no	—
895	#380	—	89	1	no	—
896	#380	—	89	1	no	—
897	C₄×C₄⋊C₄	—	89	1	no	—
898	C₄×C₄⋊C₄	—	89	1	no	—
899	C₄×C₄⋊C₄	—	89	1	no	—
900	C₄×C₄⋊C₄	—	89	1	no	—
901	C₄×C₄⋊C₄	—	89	1	no	—
902	C₄×C₄⋊C₄	—	89	1	no	—
903	C₄×C₄⋊C₄	—	89	1	no	—
904	C₄×C₄⋊C₄	—	89	1	no	—
905	C₄×C₄⋊C₄	—	89	1	no	—
906	C₄×C₄⋊C₄	—	89	1	no	—
907	C₄×C₄⋊C₄	—	89	1	no	—
908	C₄×C₄⋊C₄	—	89	1	no	—
909	C₄×C₂²⋊C₄	—	89	1	no	—
910	C₄×C₂²⋊C₄	—	89	1	no	—
911	C₄×C₂²⋊C₄	—	89	1	no	—
912	C₄×C₂²⋊C₄	—	89	1	no	—
913	C₄×C₂²⋊C₄	—	89	1	no	—
914	C₄×C₂²⋊C₄	—	89	1	no	—
915	C₄×C₂²⋊C₄	—	89	1	no	—
916	C₄×C₂²⋊C₄	—	89	1	no	—
917	C₄×C₂²⋊C₄	—	89	1	no	—
918	C₄×C₂²⋊C₄	—	89	1	no	—
919	C₄×C₂²⋊C₄	—	89	1	no	—
920	C₄×C₂²⋊C₄	—	89	1	no	—
921	C₄×C₂²⋊C₄	—	89	1	no	—
922	C₄×C₂²⋊C₄	—	89	1	no	—
923	#376	—	89	1	no	—
924	#376	—	89	1	no	—
925	#376	—	89	1	no	—
926	C₂×#95	—	89	1	no	—
927	C₂×#95	—	89	1	no	—
928	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
929	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
930	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
931	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
932	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
933	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
934	C₂³×C₄	—	89	1	no	—
935	C₂³×C₄	—	89	1	no	—
936	C₂³×C₄	—	89	1	no	—
937	C₂³×C₄	—	89	1	no	—
938	C₂³×C₄	—	89	1	no	—
939	C₂³×C₄	—	89	1	no	—
940	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
942	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
943	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
944	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
945	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
946	#126	C₂×Dic₈₉	1	8	yes	complemented
947	#126	C₂×Dic₈₉	1	8	yes	complemented
948	#125	C₂×Dic₈₉	1	8	yes	complemented
949	#123	C₂×Dic₈₉	1	8	yes	complemented
950	#123	C₂×Dic₈₉	1	8	yes	complemented
951	#121	C₂×Dic₈₉	1	8	yes	—
952	#121	C₂×Dic₈₉	1	8	yes	complemented
953	#121	C₂×Dic₈₉	1	8	yes	complemented
954	#121	C₂×Dic₈₉	1	8	yes	complemented
955	C₄×D₄	—	356	2	no	—
956	C₄×D₄	—	356	2	no	—
957	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
958	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
959	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
960	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
961	#117	—	356	2	no	—
962	#117	—	356	2	no	—
963	#117	—	356	2	no	—
964	#117	C₂×Dic₈₉	1	8	yes	complemented
965	C₂×C₄⋊C₄	—	89	1	no	—
966	C₂×C₄⋊C₄	—	89	1	no	—
967	C₂×C₄⋊C₄	—	89	1	no	—
968	C₂×C₄⋊C₄	—	89	1	no	—
969	C₂×C₄⋊C₄	—	89	1	no	—
970	C₂×C₄⋊C₄	—	89	1	no	—
971	C₂×C₄⋊C₄	—	89	1	no	—
972	C₂×C₄⋊C₄	—	89	1	no	—
973	C₂×C₄⋊C₄	—	89	1	no	—
974	C₂×C₄⋊C₄	—	89	1	no	—
975	C₂×C₄⋊C₄	—	89	1	no	—
976	C₂×C₄⋊C₄	—	89	1	no	—
977	C₂×C₄⋊C₄	—	89	1	no	—
978	C₂×C₄⋊C₄	—	89	1	no	—
979	C₂×C₄⋊C₄	—	89	1	no	—
980	C₂×C₄⋊C₄	—	89	1	no	—
981	C₂×C₄⋊C₄	—	89	1	no	—
982	C₂×C₄⋊C₄	—	89	1	no	—
983	C₂×C₄⋊C₄	—	89	1	no	—
984	C₂×C₄⋊C₄	—	89	1	no	—
985	C₂×C₄⋊C₄	C₂×Dic₈₉	1	8	yes	complemented
986	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	—	89	1	no	—
997	C₂×C₂²⋊C₄	—	89	1	no	—
998	C₂×C₂²⋊C₄	—	89	1	no	—
999	C₂×C₂²⋊C₄	—	89	1	no	—
1000	C₂×C₂²⋊C₄	—	89	1	no	—
1001	C₂×C₂²⋊C₄	—	89	1	no	—
1002	C₂×C₂²⋊C₄	—	89	1	no	—
1003	C₂×C₂²⋊C₄	—	89	1	no	—
1004	C₂×C₂²⋊C₄	—	89	1	no	—
1005	C₂×C₂²⋊C₄	—	89	1	no	—
1006	C₂×C₂²⋊C₄	—	89	1	no	—
1007	C₂×C₂²⋊C₄	—	89	1	no	—
1008	C₂×C₂²⋊C₄	—	89	1	no	—
1009	C₂×C₂²⋊C₄	—	89	1	no	—
1010	C₂×C₂²⋊C₄	—	89	1	no	—
1011	C₂×C₂²⋊C₄	—	89	1	no	—
1012	C₂×C₂²⋊C₄	—	89	1	no	—
1013	C₂×C₂²⋊C₄	—	89	1	no	—
1014	C₂×C₂²⋊C₄	—	89	1	no	—
1015	C₂×C₂²⋊C₄	—	89	1	no	—
1016	C₂×C₂²⋊C₄	—	89	1	no	—
1017	C₂×C₂²⋊C₄	—	89	1	no	—
1018	C₂×C₂²⋊C₄	—	89	1	no	—
1019	C₂×C₂²⋊C₄	—	89	1	no	—
1020	C₂×C₂²⋊C₄	—	89	1	no	—
1021	C₂×C₂²⋊C₄	—	89	1	no	—
1022	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1032	C₂×C₄²	—	89	1	no	—
1033	C₂×C₄²	—	89	1	no	—
1034	C₂×C₄²	—	89	1	no	—
1035	C₂×C₄²	—	89	1	no	—
1036	C₂×C₄²	—	89	1	no	—
1037	C₂×C₄²	—	89	1	no	—
1038	C₂×C₄²	—	89	1	no	—
1039	C₂×C₄²	—	89	1	no	—
1040	C₂×C₄²	—	89	1	no	—
1041	C₂×C₄²	—	89	1	no	—
1042	C₂×C₄²	—	89	1	no	—
1043	C₂×C₄²	—	89	1	no	—
1044	C₂×C₄²	—	89	1	no	—
1045	C₂×C₄²	—	89	1	no	—
1046	C₂×C₄²	—	89	1	no	—
1047	C₂×C₄²	—	89	1	no	—
1048	C₂×C₄²	—	89	1	no	—
1049	C₂×C₄²	—	89	1	no	—
1050	C₂×C₄²	—	89	1	no	—
1051	C₂×C₄²	—	89	1	no	—
1052	C₂×C₄²	—	356	2	no	—
1053	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1054	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1055	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1056	#95	—	89	1	no	—
1057	#95	—	89	1	no	—
1058	#95	—	89	1	no	—
1059	#95	—	89	1	no	—
1060	#95	—	89	1	no	—
1061	#95	—	89	1	no	—
1062	#95	—	89	1	no	—
1063	#95	—	89	1	no	—
1064	#95	—	89	1	no	—
1065	#95	—	89	1	no	—
1066	#95	—	89	1	no	—
1067	#95	—	89	1	no	—
1068	#95	—	89	1	no	—
1069	#95	—	89	1	no	—
1070	#95	—	89	1	no	—
1071	#95	—	89	1	no	—
1072	#95	—	89	1	no	—
1073	#95	—	89	1	no	—
1074	#95	—	89	1	no	—
1075	#95	—	89	1	no	—
1076	#95	—	89	1	no	—
1077	#95	—	89	1	no	—
1078	#95	—	89	1	no	—
1079	#95	—	89	1	no	—
1080	#95	—	89	1	no	—
1081	#95	—	89	1	no	—
1082	#95	—	89	1	no	—
1083	#95	—	89	1	no	—
1084	#95	—	89	1	no	—
1085	#95	—	89	1	no	—
1086	#95	—	89	1	no	—
1087	#95	—	89	1	no	—
1088	#95	—	89	1	no	—
1089	#95	—	89	1	no	—
1090	#95	—	89	1	no	—
1091	#95	—	89	1	no	—
1092	#95	—	89	1	no	—
1093	#95	—	89	1	no	—
1094	#95	—	89	1	no	—
1095	#95	—	89	1	no	—
1096	#95	—	89	1	no	—
1097	#95	—	89	1	no	—
1098	#95	—	89	1	no	—
1099	#95	—	89	1	no	—
1100	#95	—	89	1	no	—
1101	#95	—	89	1	no	—
1102	#95	—	89	1	no	—
1103	#95	—	89	1	no	—
1104	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1105	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1106	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1107	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂×D₄	—	4	1	no	—
1111	C₂×D₄	—	4	1	no	—
1112	C₂×D₄	—	4	1	no	—
1113	C₂×D₄	—	4	1	no	—
1114	C₂×D₄	—	4	1	no	—
1115	C₂×D₄	—	4	1	no	—
1116	C₂×D₄	—	4	1	no	—
1117	C₂×D₄	—	4	1	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	1	no	—
1120	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1121	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1122	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1123	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1124	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1125	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	89	1	no	—
1139	C₂²×C₄	—	89	1	no	—
1140	C₂²×C₄	—	89	1	no	—
1141	C₂²×C₄	—	89	1	no	—
1142	C₂²×C₄	—	89	1	no	—
1143	C₂²×C₄	—	89	1	no	—
1144	C₂²×C₄	—	89	1	no	—
1145	C₂²×C₄	—	89	1	no	—
1146	C₂²×C₄	—	89	1	no	—
1147	C₂²×C₄	—	89	1	no	—
1148	C₂²×C₄	—	89	1	no	—
1149	C₂²×C₄	—	89	1	no	—
1150	C₂²×C₄	—	89	1	no	—
1151	C₂²×C₄	—	89	1	no	—
1152	C₂²×C₄	—	89	1	no	—
1153	C₂²×C₄	—	89	1	no	—
1154	C₂²×C₄	—	356	1	no	—
1155	C₂²×C₄	—	356	1	no	—
1156	C₂²×C₄	—	356	1	no	—
1157	C₂²×C₄	—	356	1	no	—
1158	C₂²×C₄	—	356	1	no	—
1159	C₂²×C₄	—	356	1	no	—
1160	C₂²×C₄	—	356	1	no	—
1161	C₂²×C₄	—	356	1	no	—
1162	C₂²×C₄	—	356	1	no	—
1163	C₂²×C₄	—	356	1	no	—
1164	C₂²×C₄	—	356	1	no	—
1165	C₂²×C₄	—	356	1	no	—
1166	C₂²×C₄	—	356	1	no	—
1167	C₂²×C₄	—	356	1	no	—
1168	C₂²×C₄	—	356	1	no	—
1169	C₂²×C₄	—	356	1	no	—
1170	C₂²×C₄	—	178	2	no	—
1171	C₂²×C₄	—	178	2	no	—
1172	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1173	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1174	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1175	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1176	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1177	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1178	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1189	C₄⋊C₄	—	356	1	no	—
1190	C₄⋊C₄	—	356	1	no	—
1191	C₄⋊C₄	—	356	1	no	—
1192	C₄⋊C₄	—	356	1	no	—
1193	C₄⋊C₄	—	356	1	no	—
1194	C₄⋊C₄	—	356	1	no	—
1195	C₄⋊C₄	—	356	1	no	—
1196	C₄⋊C₄	—	356	1	no	—
1197	C₄⋊C₄	—	356	1	no	—
1198	C₄⋊C₄	—	356	1	no	—
1199	C₄⋊C₄	—	356	1	no	—
1200	C₄⋊C₄	—	356	1	no	—
1201	C₄⋊C₄	—	356	1	no	—
1202	C₄⋊C₄	—	356	1	no	—
1203	C₄⋊C₄	—	356	1	no	—
1204	C₄⋊C₄	—	356	1	no	—
1205	C₄⋊C₄	—	356	1	no	—
1206	C₄⋊C₄	—	356	1	no	—
1207	C₄⋊C₄	—	178	2	no	—
1208	C₄⋊C₄	—	178	2	no	—
1209	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1210	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1211	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1212	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1213	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1214	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1215	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1216	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1217	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1218	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1219	C₂²⋊C₄	—	356	1	no	—
1220	C₂²⋊C₄	—	356	1	no	—
1221	C₂²⋊C₄	—	356	1	no	—
1222	C₂²⋊C₄	—	356	1	no	—
1223	C₂²⋊C₄	—	356	1	no	—
1224	C₂²⋊C₄	—	356	1	no	—
1225	C₂²⋊C₄	—	356	1	no	—
1226	C₂²⋊C₄	—	356	1	no	—
1227	C₂²⋊C₄	—	356	1	no	—
1228	C₂²⋊C₄	—	356	1	no	—
1229	C₂²⋊C₄	—	356	1	no	—
1230	C₂²⋊C₄	—	356	1	no	—
1231	C₂²⋊C₄	—	356	1	no	—
1232	C₂²⋊C₄	—	356	1	no	—
1233	C₂²⋊C₄	—	356	1	no	—
1234	C₂²⋊C₄	—	356	1	no	—
1235	C₂²⋊C₄	—	356	1	no	—
1236	C₂²⋊C₄	—	356	1	no	—
1237	C₂²⋊C₄	—	356	1	no	—
1238	C₂²⋊C₄	—	356	1	no	—
1239	C₂²⋊C₄	—	356	1	no	—
1240	C₂²⋊C₄	—	356	1	no	—
1241	C₂²⋊C₄	—	356	1	no	—
1242	C₂²⋊C₄	—	356	1	no	—
1243	C₂²⋊C₄	—	178	2	no	—
1244	C₂²⋊C₄	—	178	2	no	—
1245	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1246	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1247	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1248	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1249	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1250	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1251	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1252	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1253	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1254	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1255	C₄²	—	356	1	no	—
1256	C₄²	—	356	1	no	—
1257	C₄²	—	356	1	no	—
1258	C₄²	—	356	1	no	—
1259	C₄²	—	356	1	no	—
1260	C₄²	—	356	1	no	—
1261	C₄²	—	356	1	no	—
1262	C₄²	—	356	1	no	—
1263	C₄²	—	356	1	no	—
1264	C₄²	—	356	1	no	—
1265	C₄²	—	356	1	no	—
1266	C₄²	—	356	1	no	—
1267	C₄²	—	356	1	no	—
1268	C₄²	—	356	1	no	—
1269	C₄²	—	356	1	no	—
1270	C₄²	—	356	1	no	—
1271	C₄²	—	356	1	no	—
1272	C₄²	—	178	2	no	—
1273	C₄²	—	178	2	no	—
1274	C₄²	—	178	2	no	—
1275	C₄²	C₂²×Dic₈₉	1	4	yes	—
1276	C₄²	C₂²×Dic₈₉	1	4	yes	—
1277	C₄²	C₂²×Dic₈₉	1	4	yes	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	C₂³×Dic₈₉	1	2	yes	—
1303	C₂³	C₂³×Dic₈₉	1	2	yes	—
1304	C₂³	C₂³×Dic₈₉	1	2	yes	—
1305	C₂³	C₂³×Dic₈₉	1	2	yes	—
1306	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1307	D₄	—	4	4	no	—
1308	D₄	—	4	4	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	4	no	—
1312	D₄	—	4	4	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	4	4	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	—	89	2	no	—
1342	C₂×C₄	—	356	4	no	—
1343	C₂×C₄	—	356	4	no	—
1344	C₂×C₄	—	178	1	no	—
1345	C₂×C₄	—	178	1	no	—
1346	C₂×C₄	—	178	1	no	—
1347	C₂×C₄	—	178	1	no	—
1348	C₂×C₄	—	178	1	no	—
1349	C₂×C₄	—	178	1	no	—
1350	C₂×C₄	—	178	1	no	—
1351	C₂×C₄	—	178	1	no	—
1352	C₂×C₄	—	178	1	no	—
1353	C₂×C₄	—	178	1	no	—
1354	C₂×C₄	—	178	1	no	—
1355	C₂×C₄	—	178	1	no	—
1356	C₂×C₄	—	178	1	no	—
1357	C₂×C₄	—	178	1	no	—
1358	C₂×C₄	—	178	1	no	—
1359	C₂×C₄	—	178	1	no	—
1360	C₂×C₄	—	178	1	no	—
1361	C₂×C₄	—	178	1	no	—
1362	C₂×C₄	—	178	1	no	—
1363	C₂×C₄	—	178	1	no	—
1364	C₂×C₄	—	178	1	no	—
1365	C₂×C₄	—	178	1	no	—
1366	C₂×C₄	—	178	1	no	—
1367	C₂×C₄	—	178	1	no	—
1368	C₂×C₄	—	178	1	no	—
1369	C₂×C₄	—	178	1	no	—
1370	C₂×C₄	—	178	1	no	—
1371	C₂×C₄	—	178	1	no	—
1372	C₂×C₄	—	178	1	no	—
1373	C₂×C₄	—	178	1	no	—
1374	C₂×C₄	—	178	1	no	—
1375	C₂×C₄	—	178	1	no	—
1376	C₂×C₄	—	178	1	no	—
1377	C₂×C₄	—	178	1	no	—
1378	C₂×C₄	—	178	1	no	—
1379	C₂×C₄	—	178	1	no	—
1380	C₂×C₄	—	178	1	no	—
1381	C₂×C₄	—	178	1	no	—
1382	C₂×C₄	—	178	1	no	—
1383	C₂×C₄	—	178	1	no	—
1384	C₂×C₄	—	178	1	no	—
1385	C₂×C₄	—	178	1	no	—
1386	C₂×C₄	—	178	1	no	—
1387	C₂×C₄	—	178	1	no	—
1388	C₂×C₄	—	178	1	no	—
1389	C₂×C₄	—	178	1	no	—
1390	C₂×C₄	—	178	1	no	—
1391	C₂×C₄	—	712	2	no	—
1392	C₂×C₄	—	712	2	no	—
1393	C₂×C₄	—	712	2	no	—
1394	C₂×C₄	—	712	2	no	—
1395	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1396	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1397	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1398	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1399	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1400	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1401	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1402	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1403	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1404	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1405	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	C₂⁴×Dic₈₉	1	1	yes	characteristic
1435	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1436	C₂²	#19152433	1	1	yes	characteristic
1437	C₂²	#19152434	1	1	yes	characteristic
1438	C₂²	#19152434	1	1	yes	characteristic
1439	C₂²	#19152434	1	1	yes	characteristic
1440	C₂²	#19152434	1	1	yes	characteristic
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	2	2	no	—
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	356	1	no	—
1453	C₄	—	356	1	no	—
1454	C₄	—	356	1	no	—
1455	C₄	—	356	1	no	—
1456	C₄	—	356	1	no	—
1457	C₄	—	356	1	no	—
1458	C₄	—	356	1	no	—
1459	C₄	—	356	1	no	—
1460	C₄	—	356	1	no	—
1461	C₄	—	356	1	no	—
1462	C₄	—	356	1	no	—
1463	C₄	—	356	1	no	—
1464	C₄	—	356	1	no	—
1465	C₄	—	356	1	no	—
1466	C₄	—	356	1	no	—
1467	C₄	—	178	2	no	—
1468	C₂	—	4	2	no	—
1469	C₂	—	4	2	no	—
1470	C₂	—	4	2	no	—
1471	C₂	—	4	2	no	—
1472	C₂	#26033455	1	1	yes	characteristic
1473	C₂	#26033455	1	1	yes	characteristic
1474	C₂	H(5,𝔽₂)×Dic₈₉	1	1	yes	characteristic
1475	C₂	#26034410	1	1	yes	characteristic
1476	C₂	#26034502	1	1	yes	characteristic
1477	C₂	#26034905	1	1	yes	characteristic
1478	C₂	#26034929	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting, prime radical	C₂×#553×C₈₉	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
hypercenter	C₂×#553	D₈₉
hypocenter	C₈₉	#34509
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #26023444	C₂	semidirect
2. #26023409	C₂	semidirect
3. #26023409	C₂	semidirect
4. #26023409	C₂	semidirect
5. #26023388	C₂	semidirect
6. #26023376	C₂	semidirect
7. #26023358	C₂	semidirect
8. #26023294	C₂	semidirect
9. #26023248	C₂	semidirect
10. #26023225	C₂	semidirect
11. #26023201	C₂	semidirect
12. #26023192	C₂	semidirect
13. #26023192	C₂	semidirect
14. #26023121	C₂	semidirect
15. #26023112	C₂	semidirect
16. #26023058	C₂	semidirect
17. #26023046	C₂	semidirect
18. #26023031	C₂	semidirect
19. #26023031	C₂	semidirect
20. #26023019	C₂	semidirect
21. #26023019	C₂	semidirect
22. #26022957	C₂	semidirect
23. #26022947	C₂	semidirect
24. #26022895	C₂	semidirect
25. #26022885	C₂	semidirect
26. #26022861	C₂	semidirect
27. #26022855	C₂	semidirect
28. #123×Dic₈₉	C₂	semidirect
29. #26022697	C₂	semidirect
30. #26022697	C₂	semidirect
172. #553×C₈₉	C₄	semidirect
326. #126×C₈₉	C₂×C₄	semidirect
327. #126×C₈₉	C₂×C₄	semidirect
328. #125×C₈₉	C₂×C₄	semidirect
329. #123×C₈₉	C₂×C₄	semidirect
330. #123×C₈₉	C₂×C₄	semidirect
332. #121×C₈₉	C₂×C₄	semidirect
333. #121×C₈₉	C₂×C₄	semidirect
334. #121×C₈₉	C₂×C₄	semidirect
335. C₄×D₄×C₈₉	C₂×C₄	semidirect
336. C₄×D₄×C₈₉	C₂×C₄	semidirect
337. C₄×D₄×C₈₉	C₂×C₄	semidirect
338. C₄×D₄×C₈₉	C₂×C₄	semidirect
339. #117×C₈₉	C₂×C₄	semidirect
340. C₂×C₄⋊C₄×C₈₉	C₂×C₄	semidirect
771. C₈₉	#34509	semidirect
772. #553	Dic₈₉	semidirect
946. #126	C₂×Dic₈₉	semidirect
947. #126	C₂×Dic₈₉	semidirect
948. #125	C₂×Dic₈₉	semidirect
949. #123	C₂×Dic₈₉	semidirect
950. #123	C₂×Dic₈₉	semidirect
952. #121	C₂×Dic₈₉	semidirect
953. #121	C₂×Dic₈₉	semidirect
954. #121	C₂×Dic₈₉	semidirect
957. C₄×D₄	C₂×Dic₈₉	semidirect
958. C₄×D₄	C₂×Dic₈₉	semidirect
959. C₄×D₄	C₂×Dic₈₉	semidirect
960. C₄×D₄	C₂×Dic₈₉	semidirect
964. #117	C₂×Dic₈₉	semidirect
985. C₂×C₄⋊C₄	C₂×Dic₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26023444	2
#26023409	2
#26023388	2
#26023376	2
#26023358	2
#26023294	2
#26023248	2
#26023225	2
#26023201	2
#26023192	2
#26023121	2
#26023112	2
#26023058	2
#26023046	2
#26023031	2
#26023019	2
#26022957	2
#26022947	2
#26022895	2
#26022885	2
#26022861	2
#26022855	2
#123×Dic₈₉	2
#26022697	2
C₂×#553×C₈₉	2
#34509	89