Subgroups — #36720141

Order 22784.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26023438	C₂	1	1	yes	maximal, characteristic, complemented
2	#26023418	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023418	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023400	C₂	1	1	yes	maximal, characteristic
5	#26023388	C₂	1	1	yes	maximal, characteristic
6	#26023376	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023376	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023358	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023352	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023217	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023192	C₂	1	1	yes	maximal, characteristic
12	#26023145	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023137	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023129	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	#26023058	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023046	C₂	1	1	yes	maximal, characteristic
19	#26023046	C₂	1	1	yes	maximal, characteristic
20	#26023031	C₂	1	1	yes	maximal, characteristic, complemented
21	#26023010	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022994	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022987	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022895	C₂	1	1	yes	maximal, characteristic
25	#26022861	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	#126×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022750	C₂	1	1	yes	maximal, characteristic, complemented
30	#26022730	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#552×C₈₉	C₂	1	1	yes	maximal, characteristic
32	#19151505	C₂²	1	1	yes	characteristic
33	#19151505	C₂²	1	1	yes	characteristic
34	#19151505	C₂²	1	1	yes	characteristic
35	#19151505	C₂²	1	1	yes	characteristic
36	#19151501	C₂²	1	1	yes	characteristic
37	#19151501	C₂²	1	1	yes	characteristic
38	#19151497	C₂²	1	1	yes	characteristic
39	#19151497	C₂²	1	1	yes	characteristic
40	#19151497	C₂²	1	1	yes	characteristic
41	#19151497	C₂²	1	1	yes	characteristic
42	#19151497	C₂²	1	1	yes	characteristic
43	#19151497	C₂²	1	1	yes	characteristic
44	#19151497	C₂²	1	1	yes	characteristic
45	#19151497	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	#19151484	C₂²	1	1	yes	characteristic
101	#19151484	C₂²	1	1	yes	characteristic
102	#19151484	C₂²	1	1	yes	characteristic
103	#19151484	C₂²	1	1	yes	characteristic
104	#19151484	C₂²	1	1	yes	characteristic
105	#19151484	C₂²	1	1	yes	characteristic
106	#19151484	C₂²	1	1	yes	characteristic
107	#19151484	C₂²	1	1	yes	characteristic
108	#19151484	C₂²	1	1	yes	characteristic
109	#19151484	C₂²	1	1	yes	characteristic
110	#19151484	C₂²	1	1	yes	characteristic
111	#19151484	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	#19151468	C₂²	1	1	yes	characteristic
119	#19151466	C₂²	1	1	yes	characteristic
120	#19151466	C₂²	1	1	yes	characteristic
121	#19151466	C₂²	1	1	yes	characteristic
122	#19151464	C₂²	1	1	yes	characteristic
123	#19151464	C₂²	1	1	yes	characteristic
124	#19151464	C₂²	1	1	yes	characteristic
125	#19151461	C₂²	1	1	yes	characteristic
126	#19151461	C₂²	1	1	yes	characteristic
127	#19151461	C₂²	1	1	yes	characteristic
128	#19151458	C₂²	1	1	yes	characteristic
129	#19151458	C₂²	1	1	yes	characteristic
130	#19151458	C₂²	1	1	yes	characteristic
131	#19151458	C₂²	1	1	yes	characteristic
132	#19151458	C₂²	1	1	yes	characteristic
133	#19151458	C₂²	1	1	yes	characteristic
134	#19151458	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×Dic₈₉	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	C₄×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	C₄×C₂²⋊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	#19151444	C₂²	1	1	yes	characteristic
166	#19151444	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	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic
172	#552×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×#125×C₈₉	C₂²	1	1	yes	characteristic
177	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
178	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
179	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
180	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
181	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
182	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
183	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
185	C₂×#117×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	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊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×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×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
234	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
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	#15667919	C₂³	1	1	yes	characteristic
253	#15667919	C₂³	1	1	yes	characteristic
254	#15667919	C₂³	1	1	yes	characteristic
255	#15667919	C₂³	1	1	yes	characteristic
256	#15667919	C₂³	1	1	yes	characteristic
257	#15667919	C₂³	1	1	yes	characteristic
258	#15667919	C₂³	1	1	yes	characteristic
259	#15667919	C₂³	1	1	yes	characteristic
260	#15667919	C₂³	1	1	yes	characteristic
261	#15667919	C₂³	1	1	yes	characteristic
262	#15667919	C₂³	1	1	yes	characteristic
263	#15667919	C₂³	1	1	yes	characteristic
264	#15667919	C₂³	1	1	yes	characteristic
265	#15667919	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	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
309	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
310	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
311	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
312	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
313	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
314	#126×C₈₉	C₂×C₄	1	8	yes	—
315	#126×C₈₉	C₂×C₄	1	8	yes	—
316	#125×C₈₉	C₂×C₄	1	8	yes	complemented
317	#125×C₈₉	C₂×C₄	1	8	yes	complemented
318	#125×C₈₉	C₂×C₄	1	8	yes	complemented
319	#123×C₈₉	C₂×C₄	1	8	yes	—
320	#123×C₈₉	C₂×C₄	1	8	yes	—
321	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	—
322	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
323	C₄×Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
324	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	—
325	#117×C₈₉	C₂×C₄	1	8	yes	—
326	#117×C₈₉	C₂×C₄	1	8	yes	complemented
327	#117×C₈₉	C₂×C₄	1	8	yes	complemented
328	C₂×C₄⋊C₄×C₈₉	C₂×C₄	1	8	yes	complemented
329	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
358	C₂²×Dic₈₉	—	2	2	no	—
359	C₂²×Dic₈₉	—	4	1	no	—
360	C₂²×Dic₈₉	—	4	1	no	—
361	C₂²×Dic₈₉	—	4	1	no	—
362	C₂²×Dic₈₉	—	4	1	no	—
363	C₂²×Dic₈₉	—	4	1	no	—
364	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
380	C₄⋊Dic₈₉	—	2	2	no	—
381	C₄⋊Dic₈₉	—	4	1	no	—
382	C₄⋊Dic₈₉	—	4	1	no	—
383	C₄⋊Dic₈₉	—	4	1	no	—
384	C₄⋊Dic₈₉	—	4	1	no	—
385	C₄⋊Dic₈₉	—	4	1	no	—
386	C₄⋊Dic₈₉	—	4	1	no	—
387	C₄⋊Dic₈₉	—	4	1	no	—
388	C₄⋊Dic₈₉	—	4	1	no	—
389	C₄⋊Dic₈₉	—	4	1	no	—
390	C₄⋊Dic₈₉	—	4	1	no	—
391	C₄⋊Dic₈₉	—	4	1	no	—
392	C₄⋊Dic₈₉	—	4	1	no	—
393	C₄⋊Dic₈₉	—	4	1	no	—
394	C₄⋊Dic₈₉	—	4	1	no	—
395	C₄⋊Dic₈₉	—	4	1	no	—
396	C₄⋊Dic₈₉	—	4	1	no	—
397	C₄⋊Dic₈₉	—	4	1	no	—
398	C₄⋊Dic₈₉	—	4	1	no	—
399	C₄⋊Dic₈₉	—	4	1	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	C₂²⋊Dic₈₉	—	2	2	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	—	4	1	no	—
413	C₂²⋊Dic₈₉	—	4	1	no	—
414	C₂²⋊Dic₈₉	—	4	1	no	—
415	C₂²⋊Dic₈₉	—	4	1	no	—
416	C₂²⋊Dic₈₉	—	4	1	no	—
417	C₂²⋊Dic₈₉	—	4	1	no	—
418	C₄×Dic₈₉	—	2	2	no	—
419	C₄×Dic₈₉	—	2	2	no	—
420	C₄×Dic₈₉	—	4	1	no	—
421	C₄×Dic₈₉	—	4	1	no	—
422	C₄×Dic₈₉	—	4	1	no	—
423	C₄×Dic₈₉	—	4	1	no	—
424	C₄×Dic₈₉	—	4	1	no	—
425	C₄×Dic₈₉	—	4	1	no	—
426	C₄×Dic₈₉	—	4	1	no	—
427	C₄×Dic₈₉	—	4	1	no	—
428	C₄×Dic₈₉	—	4	1	no	—
429	C₄×Dic₈₉	—	4	1	no	—
430	C₄×Dic₈₉	—	4	1	no	—
431	C₄×Dic₈₉	—	4	1	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	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
443	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
444	C₂×Q₈×C₈₉	—	4	1	no	—
445	C₂×Q₈×C₈₉	—	4	1	no	—
446	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
447	C₂×D₄×C₈₉	—	4	1	no	—
448	C₂×D₄×C₈₉	—	4	1	no	—
449	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
450	C₂²×C₄×C₈₉	—	4	1	no	—
451	C₂²×C₄×C₈₉	—	4	1	no	—
452	C₂²×C₄×C₈₉	—	4	1	no	—
453	C₂²×C₄×C₈₉	—	4	1	no	—
454	C₂²×C₄×C₈₉	—	4	1	no	—
455	C₂²×C₄×C₈₉	—	4	1	no	—
456	C₂²×C₄×C₈₉	—	4	1	no	—
457	C₂²×C₄×C₈₉	—	4	1	no	—
458	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
459	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
460	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
461	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
462	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
475	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
476	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
477	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
478	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
479	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
480	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
481	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
482	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
483	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
484	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
485	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
486	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
487	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
488	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
489	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
490	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
491	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
492	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
493	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
494	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
495	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
496	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
497	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
498	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
499	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
500	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
501	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
502	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
503	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
504	C₂³×C₈₉	—	2	1	no	—
505	C₂³×C₈₉	—	2	1	no	—
506	C₂³×C₈₉	—	2	1	no	—
507	C₂³×C₈₉	—	2	1	no	—
508	C₂³×C₈₉	—	2	1	no	—
509	C₂³×C₈₉	—	2	1	no	—
510	C₂³×C₈₉	—	2	1	no	—
511	C₂³×C₈₉	—	2	1	no	—
512	C₂³×C₈₉	—	2	1	no	—
513	C₂³×C₈₉	—	2	1	no	—
514	C₂³×C₈₉	—	2	1	no	—
515	C₂³×C₈₉	—	2	1	no	—
516	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
517	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
518	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
519	Q₈×C₈₉	—	4	4	no	—
520	D₄×C₈₉	—	4	4	no	—
521	C₂×C₄×C₈₉	—	2	1	no	—
522	C₂×C₄×C₈₉	—	2	1	no	—
523	C₂×C₄×C₈₉	—	2	1	no	—
524	C₂×C₄×C₈₉	—	2	1	no	—
525	C₂×C₄×C₈₉	—	2	1	no	—
526	C₂×C₄×C₈₉	—	2	1	no	—
527	C₂×C₄×C₈₉	—	2	1	no	—
528	C₂×C₄×C₈₉	—	2	1	no	—
529	C₂×C₄×C₈₉	—	2	1	no	—
530	C₂×C₄×C₈₉	—	2	1	no	—
531	C₂×C₄×C₈₉	—	2	1	no	—
532	C₂×C₄×C₈₉	—	2	1	no	—
533	C₂×C₄×C₈₉	—	2	1	no	—
534	C₂×C₄×C₈₉	—	2	1	no	—
535	C₂×C₄×C₈₉	—	2	1	no	—
536	C₂×C₄×C₈₉	—	2	1	no	—
537	C₂×C₄×C₈₉	—	2	1	no	—
538	C₂×C₄×C₈₉	—	2	1	no	—
539	C₂×C₄×C₈₉	—	2	1	no	—
540	C₂×C₄×C₈₉	—	2	1	no	—
541	C₂×C₄×C₈₉	—	2	1	no	—
542	C₂×C₄×C₈₉	—	2	1	no	—
543	C₂×C₄×C₈₉	—	2	1	no	—
544	C₂×C₄×C₈₉	—	2	1	no	—
545	C₂×C₄×C₈₉	—	2	1	no	—
546	C₂×C₄×C₈₉	—	2	1	no	—
547	C₂×C₄×C₈₉	—	4	4	no	—
548	C₂×C₄×C₈₉	—	4	4	no	—
549	C₂×C₄×C₈₉	—	4	4	no	—
550	C₂×C₄×C₈₉	—	4	4	no	—
551	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
552	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
553	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
554	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
555	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
557	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
559	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
560	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
561	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
562	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
563	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
564	C₂×Dic₈₉	—	2	1	no	—
565	C₂×Dic₈₉	—	2	1	no	—
566	C₂×Dic₈₉	—	2	1	no	—
567	C₂×Dic₈₉	—	2	1	no	—
568	C₂×Dic₈₉	—	2	1	no	—
569	C₂×Dic₈₉	—	2	1	no	—
570	C₂×Dic₈₉	—	2	1	no	—
571	C₂×Dic₈₉	—	2	1	no	—
572	C₂×Dic₈₉	—	2	1	no	—
573	C₂×Dic₈₉	—	2	1	no	—
574	C₂×Dic₈₉	—	2	1	no	—
575	C₂×Dic₈₉	—	2	1	no	—
576	C₂×Dic₈₉	—	2	1	no	—
577	C₂×Dic₈₉	—	2	1	no	—
578	C₂×Dic₈₉	—	2	1	no	—
579	C₂×Dic₈₉	—	2	1	no	—
580	C₂×Dic₈₉	—	2	1	no	—
581	C₂×Dic₈₉	—	2	1	no	—
582	C₂×Dic₈₉	—	2	1	no	—
583	C₂×Dic₈₉	—	2	1	no	—
584	C₂×Dic₈₉	—	2	1	no	—
585	C₂×Dic₈₉	—	2	1	no	—
586	C₂×Dic₈₉	—	2	1	no	—
587	C₂×Dic₈₉	—	2	1	no	—
588	C₂×Dic₈₉	—	2	1	no	—
589	C₂×Dic₈₉	—	2	1	no	—
590	C₂×Dic₈₉	—	2	1	no	—
591	C₂×Dic₈₉	—	2	1	no	—
592	C₂×Dic₈₉	—	2	1	no	—
593	C₂×Dic₈₉	—	2	1	no	—
594	C₂×Dic₈₉	—	2	1	no	—
595	C₂×Dic₈₉	—	2	1	no	—
596	C₂×Dic₈₉	—	2	1	no	—
597	C₂×Dic₈₉	—	2	1	no	—
598	C₂×Dic₈₉	—	2	1	no	—
599	C₂×Dic₈₉	—	2	1	no	—
600	C₂×Dic₈₉	—	2	1	no	—
601	C₂×Dic₈₉	—	2	1	no	—
602	C₂×Dic₈₉	—	2	1	no	—
603	C₂×Dic₈₉	—	2	1	no	—
604	C₂×Dic₈₉	—	2	1	no	—
605	C₂×Dic₈₉	—	2	1	no	—
606	C₂×Dic₈₉	—	2	1	no	—
607	C₂×Dic₈₉	—	2	1	no	—
608	C₂×Dic₈₉	—	2	1	no	—
609	C₂×Dic₈₉	—	2	1	no	—
610	C₂×Dic₈₉	—	2	1	no	—
611	C₂×Dic₈₉	—	8	2	no	—
612	C₂×Dic₈₉	—	8	2	no	—
613	C₂×Dic₈₉	2₋¹⁺⁴	1	2	yes	—
614	C₂²×C₈₉	—	2	2	no	—
615	C₂²×C₈₉	—	2	2	no	—
616	C₂²×C₈₉	—	2	2	no	—
617	C₂²×C₈₉	—	2	2	no	—
618	C₂²×C₈₉	—	2	2	no	—
619	C₂²×C₈₉	—	2	2	no	—
620	C₂²×C₈₉	—	4	1	no	—
621	C₂²×C₈₉	—	4	1	no	—
622	C₂²×C₈₉	—	4	1	no	—
623	C₂²×C₈₉	—	4	1	no	—
624	C₂²×C₈₉	—	4	1	no	—
625	C₂²×C₈₉	—	4	1	no	—
626	C₂²×C₈₉	—	4	1	no	—
627	C₂²×C₈₉	—	4	1	no	—
628	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
629	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
630	C₂²×C₈₉	#585	1	1	yes	characteristic
631	C₂²×C₈₉	#585	1	1	yes	characteristic
632	C₂²×C₈₉	#585	1	1	yes	characteristic
633	C₂²×C₈₉	#585	1	1	yes	characteristic
634	C₂²×C₈₉	#585	1	1	yes	characteristic
635	C₄×C₈₉	—	2	2	no	—
636	C₄×C₈₉	—	2	2	no	—
637	C₄×C₈₉	—	2	2	no	—
638	C₄×C₈₉	—	2	2	no	—
639	C₄×C₈₉	—	2	2	no	—
640	C₄×C₈₉	—	2	2	no	—
641	C₄×C₈₉	—	2	2	no	—
642	C₄×C₈₉	—	2	2	no	—
643	C₄×C₈₉	—	2	2	no	—
644	C₄×C₈₉	—	2	2	no	—
645	C₄×C₈₉	—	2	2	no	—
646	C₄×C₈₉	—	2	2	no	—
647	C₄×C₈₉	—	2	2	no	—
648	Dic₈₉	—	2	2	no	—
649	Dic₈₉	—	4	1	no	—
650	Dic₈₉	—	4	1	no	—
651	Dic₈₉	—	4	1	no	—
652	Dic₈₉	—	4	1	no	—
653	Dic₈₉	—	4	1	no	—
654	Dic₈₉	—	4	1	no	—
655	Dic₈₉	—	4	1	no	—
656	Dic₈₉	—	4	1	no	—
657	Dic₈₉	—	4	1	no	—
658	Dic₈₉	—	4	1	no	—
659	Dic₈₉	—	4	1	no	—
660	Dic₈₉	—	4	1	no	—
661	Dic₈₉	—	4	1	no	—
662	Dic₈₉	—	4	1	no	—
663	Dic₈₉	—	4	1	no	—
664	#34507	—	89	1	no	maximal, Sylow
665	C₂×C₈₉	—	4	2	no	—
666	C₂×C₈₉	—	4	2	no	—
667	C₂×C₈₉	#3428	1	1	yes	characteristic
668	C₂×C₈₉	#3428	1	1	yes	characteristic
669	C₂×C₈₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
670	C₂×C₈₉	#3564	1	1	yes	characteristic
671	C₂×C₈₉	#3565	1	1	yes	characteristic
672	C₂×C₈₉	#3566	1	1	yes	characteristic
673	C₂×C₈₉	#3567	1	1	yes	characteristic
674	C₂×#552	D₈₉	1	1	yes	characteristic
675	#2382	—	89	1	no	—
676	#2378	—	89	1	no	—
677	#2378	—	89	1	no	—
678	#2376	—	89	1	no	—
679	#2374	—	89	1	no	—
680	#2373	—	89	1	no	—
681	#2373	—	89	1	no	—
682	#2371	—	89	1	no	—
683	#2370	—	89	1	no	—
684	#2356	—	89	1	no	—
685	#2353	—	89	1	no	—
686	#2347	—	89	1	no	—
687	#2346	—	89	1	no	—
688	#2345	—	89	1	no	—
689	#2343	—	89	1	no	—
690	#2336	—	89	1	no	—
691	#2336	—	89	1	no	—
692	#2335	—	89	1	no	—
693	#2335	—	89	1	no	—
694	#2334	—	89	1	no	—
695	#2332	—	89	1	no	—
696	#2330	—	89	1	no	—
697	#2329	—	89	1	no	—
698	#2319	—	89	1	no	—
699	#2314	—	89	1	no	—
700	#2314	—	89	1	no	—
701	#2313	—	89	1	no	—
702	C₄×#126	—	89	1	no	—
703	#2298	—	89	1	no	—
704	#2295	—	89	1	no	—
705	C₈₉	#34507	1	1	yes	characteristic, complemented, Sylow
706	#552	Dic₈₉	1	16	yes	complemented
707	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
708	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
709	C₂×#125	C₂×D₈₉	1	1	yes	characteristic
710	C₂×#125	C₂×D₈₉	1	1	yes	characteristic
711	C₂×#125	C₂×D₈₉	1	1	yes	characteristic
712	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
713	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
714	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
715	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
716	C₂×C₄×Q₈	C₂×D₈₉	1	1	yes	characteristic
717	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
718	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
719	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
720	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
721	C₂²×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
722	#391	—	89	1	no	—
723	#391	—	89	1	no	—
724	#391	—	89	1	no	—
725	#391	—	89	1	no	—
726	#390	—	89	1	no	—
727	#390	—	89	1	no	—
728	#389	—	89	1	no	—
729	#389	—	89	1	no	—
730	#389	—	89	1	no	—
731	#389	—	89	1	no	—
732	#389	—	89	1	no	—
733	#389	—	89	1	no	—
734	#389	—	89	1	no	—
735	#389	—	89	1	no	—
736	#389	—	89	1	no	—
737	#389	—	89	1	no	—
738	#389	—	89	1	no	—
739	#389	—	89	1	no	—
740	#389	—	89	1	no	—
741	#389	—	89	1	no	—
742	#388	—	89	1	no	—
743	#388	—	89	1	no	—
744	#388	—	89	1	no	—
745	#388	—	89	1	no	—
746	#388	—	89	1	no	—
747	#388	—	89	1	no	—
748	#388	—	89	1	no	—
749	#388	—	89	1	no	—
750	#388	—	89	1	no	—
751	#388	—	89	1	no	—
752	#388	—	89	1	no	—
753	#388	—	89	1	no	—
754	#388	—	89	1	no	—
755	#388	—	89	1	no	—
756	#388	—	89	1	no	—
757	#388	—	89	1	no	—
758	#388	—	89	1	no	—
759	#388	—	89	1	no	—
760	#388	—	89	1	no	—
761	#388	—	89	1	no	—
762	#388	—	89	1	no	—
763	#388	—	89	1	no	—
764	#387	—	89	1	no	—
765	#387	—	89	1	no	—
766	#387	—	89	1	no	—
767	#387	—	89	1	no	—
768	#387	—	89	1	no	—
769	#387	—	89	1	no	—
770	#387	—	89	1	no	—
771	#387	—	89	1	no	—
772	#387	—	89	1	no	—
773	#387	—	89	1	no	—
774	#387	—	89	1	no	—
775	#387	—	89	1	no	—
776	#387	—	89	1	no	—
777	#387	—	89	1	no	—
778	#387	—	89	1	no	—
779	#387	—	89	1	no	—
780	#387	—	89	1	no	—
781	#387	—	89	1	no	—
782	#387	—	89	1	no	—
783	#387	—	89	1	no	—
784	#387	—	89	1	no	—
785	#387	—	89	1	no	—
786	#387	—	89	1	no	—
787	#387	—	89	1	no	—
788	#387	—	89	1	no	—
789	#387	—	89	1	no	—
790	#387	—	89	1	no	—
791	#387	—	89	1	no	—
792	#387	—	89	1	no	—
793	#387	—	89	1	no	—
794	#387	—	89	1	no	—
795	#387	—	89	1	no	—
796	#387	—	89	1	no	—
797	#387	—	89	1	no	—
798	#387	—	89	1	no	—
799	#387	—	89	1	no	—
800	#387	—	89	1	no	—
801	#387	—	89	1	no	—
802	#386	—	89	1	no	—
803	#386	—	89	1	no	—
804	#385	—	89	1	no	—
805	#385	—	89	1	no	—
806	#385	—	89	1	no	—
807	#385	—	89	1	no	—
808	#384	—	89	1	no	—
809	#383	—	89	1	no	—
810	#383	—	89	1	no	—
811	#383	—	89	1	no	—
812	#382	—	89	1	no	—
813	#382	—	89	1	no	—
814	#382	—	89	1	no	—
815	#381	—	89	1	no	—
816	#381	—	89	1	no	—
817	#381	—	89	1	no	—
818	#380	—	89	1	no	—
819	#380	—	89	1	no	—
820	#380	—	89	1	no	—
821	#380	—	89	1	no	—
822	#380	—	89	1	no	—
823	#380	—	89	1	no	—
824	#380	—	89	1	no	—
825	C₄×C₄⋊C₄	—	89	1	no	—
826	C₄×C₄⋊C₄	—	89	1	no	—
827	C₄×C₄⋊C₄	—	89	1	no	—
828	C₄×C₄⋊C₄	—	89	1	no	—
829	C₄×C₄⋊C₄	—	89	1	no	—
830	C₄×C₄⋊C₄	—	89	1	no	—
831	C₄×C₄⋊C₄	—	89	1	no	—
832	C₄×C₄⋊C₄	—	89	1	no	—
833	C₄×C₄⋊C₄	—	89	1	no	—
834	C₄×C₄⋊C₄	—	89	1	no	—
835	C₄×C₄⋊C₄	—	89	1	no	—
836	C₄×C₄⋊C₄	—	89	1	no	—
837	C₄×C₄⋊C₄	—	89	1	no	—
838	C₄×C₄⋊C₄	—	89	1	no	—
839	C₄×C₄⋊C₄	—	89	1	no	—
840	C₄×C₄⋊C₄	—	89	1	no	—
841	C₄×C₄⋊C₄	—	89	1	no	—
842	C₄×C₄⋊C₄	—	89	1	no	—
843	C₄×C₄⋊C₄	—	89	1	no	—
844	C₄×C₂²⋊C₄	—	89	1	no	—
845	C₄×C₂²⋊C₄	—	89	1	no	—
846	C₄×C₂²⋊C₄	—	89	1	no	—
847	C₄×C₂²⋊C₄	—	89	1	no	—
848	C₄×C₂²⋊C₄	—	89	1	no	—
849	C₄×C₂²⋊C₄	—	89	1	no	—
850	C₄×C₂²⋊C₄	—	89	1	no	—
851	C₄×C₂²⋊C₄	—	89	1	no	—
852	C₄×C₂²⋊C₄	—	89	1	no	—
853	C₄×C₂²⋊C₄	—	89	1	no	—
854	C₄×C₂²⋊C₄	—	89	1	no	—
855	#376	—	89	1	no	—
856	#376	—	89	1	no	—
857	#376	—	89	1	no	—
858	#376	—	89	1	no	—
859	#376	—	89	1	no	—
860	C₂×#95	—	89	1	no	—
861	C₄³	—	89	1	no	—
862	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
863	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
864	C₂³×C₄	—	89	1	no	—
865	C₂³×C₄	—	89	1	no	—
866	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
867	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
869	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
870	#126	C₂×Dic₈₉	1	8	yes	—
871	#126	C₂×Dic₈₉	1	8	yes	—
872	#125	C₂×Dic₈₉	1	8	yes	complemented
873	#125	C₂×Dic₈₉	1	8	yes	complemented
874	#125	C₂×Dic₈₉	1	8	yes	complemented
875	#123	C₂×Dic₈₉	1	8	yes	—
876	#123	C₂×Dic₈₉	1	8	yes	—
877	C₂²⋊Q₈	C₂×Dic₈₉	1	8	yes	—
878	C₂²⋊Q₈	C₂×Dic₈₉	1	8	yes	complemented
879	C₄×Q₈	C₂×Dic₈₉	1	8	yes	complemented
880	C₄×D₄	C₂×Dic₈₉	1	8	yes	—
881	#117	C₂×Dic₈₉	1	8	yes	—
882	#117	C₂×Dic₈₉	1	8	yes	complemented
883	#117	C₂×Dic₈₉	1	8	yes	complemented
884	C₂×C₄⋊C₄	—	89	1	no	—
885	C₂×C₄⋊C₄	—	89	1	no	—
886	C₂×C₄⋊C₄	—	89	1	no	—
887	C₂×C₄⋊C₄	—	89	1	no	—
888	C₂×C₄⋊C₄	—	89	1	no	—
889	C₂×C₄⋊C₄	—	89	1	no	—
890	C₂×C₄⋊C₄	—	89	1	no	—
891	C₂×C₄⋊C₄	—	89	1	no	—
892	C₂×C₄⋊C₄	—	89	1	no	—
893	C₂×C₄⋊C₄	—	89	1	no	—
894	C₂×C₄⋊C₄	—	89	1	no	—
895	C₂×C₄⋊C₄	—	89	1	no	—
896	C₂×C₄⋊C₄	—	89	1	no	—
897	C₂×C₄⋊C₄	—	89	1	no	—
898	C₂×C₄⋊C₄	—	89	1	no	—
899	C₂×C₄⋊C₄	—	89	1	no	—
900	C₂×C₄⋊C₄	—	89	1	no	—
901	C₂×C₄⋊C₄	—	89	1	no	—
902	C₂×C₄⋊C₄	—	89	1	no	—
903	C₂×C₄⋊C₄	—	89	1	no	—
904	C₂×C₄⋊C₄	—	89	1	no	—
905	C₂×C₄⋊C₄	—	89	1	no	—
906	C₂×C₄⋊C₄	—	89	1	no	—
907	C₂×C₄⋊C₄	—	89	1	no	—
908	C₂×C₄⋊C₄	C₂×Dic₈₉	1	8	yes	complemented
909	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	—	89	1	no	—
926	C₂×C₂²⋊C₄	—	89	1	no	—
927	C₂×C₂²⋊C₄	—	89	1	no	—
928	C₂×C₂²⋊C₄	—	89	1	no	—
929	C₂×C₂²⋊C₄	—	89	1	no	—
930	C₂×C₂²⋊C₄	—	89	1	no	—
931	C₂×C₂²⋊C₄	—	89	1	no	—
932	C₂×C₂²⋊C₄	—	89	1	no	—
933	C₂×C₂²⋊C₄	—	89	1	no	—
934	C₂×C₂²⋊C₄	—	89	1	no	—
935	C₂×C₂²⋊C₄	—	89	1	no	—
936	C₂×C₂²⋊C₄	—	89	1	no	—
937	C₂×C₂²⋊C₄	—	89	1	no	—
938	C₂×C₂²⋊C₄	—	89	1	no	—
939	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
947	C₂×C₄²	—	89	1	no	—
948	C₂×C₄²	—	89	1	no	—
949	C₂×C₄²	—	89	1	no	—
950	C₂×C₄²	—	89	1	no	—
951	C₂×C₄²	—	89	1	no	—
952	C₂×C₄²	—	89	1	no	—
953	C₂×C₄²	—	89	1	no	—
954	C₂×C₄²	—	89	1	no	—
955	C₂×C₄²	—	89	1	no	—
956	C₂×C₄²	—	89	1	no	—
957	C₂×C₄²	—	89	1	no	—
958	C₂×C₄²	—	89	1	no	—
959	C₂×C₄²	—	89	1	no	—
960	C₂×C₄²	—	89	1	no	—
961	C₂×C₄²	—	89	1	no	—
962	C₂×C₄²	—	89	1	no	—
963	C₂×C₄²	—	89	1	no	—
964	C₂×C₄²	—	89	1	no	—
965	C₂×C₄²	—	89	1	no	—
966	C₂×C₄²	—	89	1	no	—
967	C₂×C₄²	—	89	1	no	—
968	C₂×C₄²	—	89	1	no	—
969	C₂×C₄²	—	89	1	no	—
970	C₂×C₄²	—	89	1	no	—
971	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
974	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
975	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
976	#95	—	89	1	no	—
977	#95	—	89	1	no	—
978	#95	—	89	1	no	—
979	#95	—	89	1	no	—
980	#95	—	89	1	no	—
981	#95	—	89	1	no	—
982	#95	—	89	1	no	—
983	#95	—	89	1	no	—
984	#95	—	89	1	no	—
985	#95	—	89	1	no	—
986	#95	—	89	1	no	—
987	#95	—	89	1	no	—
988	#95	—	89	1	no	—
989	#95	—	89	1	no	—
990	#95	—	89	1	no	—
991	#95	—	89	1	no	—
992	#95	—	89	1	no	—
993	#95	—	89	1	no	—
994	#95	—	89	1	no	—
995	#95	—	89	1	no	—
996	#95	—	89	1	no	—
997	#95	—	89	1	no	—
998	#95	—	89	1	no	—
999	#95	—	89	1	no	—
1000	#95	—	89	1	no	—
1001	#95	—	89	1	no	—
1002	#95	—	89	1	no	—
1003	#95	—	89	1	no	—
1004	#95	—	89	1	no	—
1005	#95	—	89	1	no	—
1006	#95	—	89	1	no	—
1007	#95	—	89	1	no	—
1008	#95	—	89	1	no	—
1009	#95	—	89	1	no	—
1010	#95	—	89	1	no	—
1011	#95	—	89	1	no	—
1012	#95	—	89	1	no	—
1013	#95	—	89	1	no	—
1014	#95	—	89	1	no	—
1015	#95	—	89	1	no	—
1016	#95	—	89	1	no	—
1017	#95	—	89	1	no	—
1018	#95	—	89	1	no	—
1019	#95	—	89	1	no	—
1020	#95	—	89	1	no	—
1021	#95	—	89	1	no	—
1022	#95	—	89	1	no	—
1023	#95	—	89	1	no	—
1024	#95	—	89	1	no	—
1025	#95	—	89	1	no	—
1026	#95	—	89	1	no	—
1027	#95	—	89	1	no	—
1028	#95	—	89	1	no	—
1029	#95	—	89	1	no	—
1030	#95	—	89	1	no	—
1031	#95	—	89	1	no	—
1032	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	—	4	1	no	—
1036	C₂×Q₈	C₂²×Dic₈₉	1	4	yes	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	89	1	no	—
1049	C₂²×C₄	—	89	1	no	—
1050	C₂²×C₄	—	89	1	no	—
1051	C₂²×C₄	—	89	1	no	—
1052	C₂²×C₄	—	89	1	no	—
1053	C₂²×C₄	—	89	1	no	—
1054	C₂²×C₄	—	89	1	no	—
1055	C₂²×C₄	—	89	1	no	—
1056	C₂²×C₄	—	89	1	no	—
1057	C₂²×C₄	—	89	1	no	—
1058	C₂²×C₄	—	89	1	no	—
1059	C₂²×C₄	—	89	1	no	—
1060	C₂²×C₄	—	89	1	no	—
1061	C₂²×C₄	—	89	1	no	—
1062	C₂²×C₄	—	89	1	no	—
1063	C₂²×C₄	—	89	1	no	—
1064	C₂²×C₄	—	356	1	no	—
1065	C₂²×C₄	—	356	1	no	—
1066	C₂²×C₄	—	356	1	no	—
1067	C₂²×C₄	—	356	1	no	—
1068	C₂²×C₄	—	356	1	no	—
1069	C₂²×C₄	—	178	2	no	—
1070	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1071	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1072	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1073	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1074	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1087	C₄⋊C₄	—	356	1	no	—
1088	C₄⋊C₄	—	356	1	no	—
1089	C₄⋊C₄	—	356	1	no	—
1090	C₄⋊C₄	—	356	1	no	—
1091	C₄⋊C₄	—	356	1	no	—
1092	C₄⋊C₄	—	356	1	no	—
1093	C₄⋊C₄	—	356	1	no	—
1094	C₄⋊C₄	—	356	1	no	—
1095	C₄⋊C₄	—	356	1	no	—
1096	C₄⋊C₄	—	356	1	no	—
1097	C₄⋊C₄	—	356	1	no	—
1098	C₄⋊C₄	—	356	1	no	—
1099	C₄⋊C₄	—	356	1	no	—
1100	C₄⋊C₄	—	356	1	no	—
1101	C₄⋊C₄	—	356	1	no	—
1102	C₄⋊C₄	—	356	1	no	—
1103	C₄⋊C₄	—	356	1	no	—
1104	C₄⋊C₄	—	356	1	no	—
1105	C₄⋊C₄	—	356	1	no	—
1106	C₄⋊C₄	—	356	1	no	—
1107	C₄⋊C₄	—	356	1	no	—
1108	C₄⋊C₄	—	356	1	no	—
1109	C₄⋊C₄	—	356	1	no	—
1110	C₄⋊C₄	—	178	2	no	—
1111	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1112	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1113	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1114	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1115	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1116	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1117	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1118	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1119	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1120	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1121	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1122	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1123	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1124	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1125	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1126	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1127	C₂²⋊C₄	—	356	1	no	—
1128	C₂²⋊C₄	—	356	1	no	—
1129	C₂²⋊C₄	—	356	1	no	—
1130	C₂²⋊C₄	—	356	1	no	—
1131	C₂²⋊C₄	—	356	1	no	—
1132	C₂²⋊C₄	—	356	1	no	—
1133	C₂²⋊C₄	—	356	1	no	—
1134	C₂²⋊C₄	—	356	1	no	—
1135	C₂²⋊C₄	—	356	1	no	—
1136	C₂²⋊C₄	—	356	1	no	—
1137	C₂²⋊C₄	—	356	1	no	—
1138	C₂²⋊C₄	—	356	1	no	—
1139	C₂²⋊C₄	—	356	1	no	—
1140	C₂²⋊C₄	—	178	2	no	—
1141	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1142	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1143	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1144	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1145	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1146	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1147	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1148	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1149	C₄²	—	356	1	no	—
1150	C₄²	—	356	1	no	—
1151	C₄²	—	356	1	no	—
1152	C₄²	—	356	1	no	—
1153	C₄²	—	356	1	no	—
1154	C₄²	—	356	1	no	—
1155	C₄²	—	356	1	no	—
1156	C₄²	—	356	1	no	—
1157	C₄²	—	356	1	no	—
1158	C₄²	—	356	1	no	—
1159	C₄²	—	356	1	no	—
1160	C₄²	—	356	1	no	—
1161	C₄²	—	356	1	no	—
1162	C₄²	—	356	1	no	—
1163	C₄²	—	356	1	no	—
1164	C₄²	—	356	1	no	—
1165	C₄²	—	356	1	no	—
1166	C₄²	—	356	1	no	—
1167	C₄²	—	356	1	no	—
1168	C₄²	—	356	1	no	—
1169	C₄²	—	356	1	no	—
1170	C₄²	—	356	1	no	—
1171	C₄²	—	178	2	no	—
1172	C₄²	—	178	2	no	—
1173	C₄²	C₂²×Dic₈₉	1	4	yes	—
1174	C₄²	C₂²×Dic₈₉	1	4	yes	—
1175	C₄²	C₂²×Dic₈₉	1	4	yes	—
1176	C₄²	C₂²×Dic₈₉	1	4	yes	—
1177	C₄²	C₂²×Dic₈₉	1	4	yes	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	C₂³×Dic₈₉	1	2	yes	—
1191	C₂³	C₂³×Dic₈₉	1	2	yes	—
1192	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1193	Q₈	—	4	4	no	—
1194	D₄	—	4	4	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	4	4	no	—
1222	C₂×C₄	—	4	4	no	—
1223	C₂×C₄	—	4	4	no	—
1224	C₂×C₄	—	4	4	no	—
1225	C₂×C₄	—	89	2	no	—
1226	C₂×C₄	—	178	1	no	—
1227	C₂×C₄	—	178	1	no	—
1228	C₂×C₄	—	178	1	no	—
1229	C₂×C₄	—	178	1	no	—
1230	C₂×C₄	—	178	1	no	—
1231	C₂×C₄	—	178	1	no	—
1232	C₂×C₄	—	178	1	no	—
1233	C₂×C₄	—	178	1	no	—
1234	C₂×C₄	—	178	1	no	—
1235	C₂×C₄	—	178	1	no	—
1236	C₂×C₄	—	178	1	no	—
1237	C₂×C₄	—	178	1	no	—
1238	C₂×C₄	—	178	1	no	—
1239	C₂×C₄	—	178	1	no	—
1240	C₂×C₄	—	178	1	no	—
1241	C₂×C₄	—	178	1	no	—
1242	C₂×C₄	—	178	1	no	—
1243	C₂×C₄	—	178	1	no	—
1244	C₂×C₄	—	178	1	no	—
1245	C₂×C₄	—	178	1	no	—
1246	C₂×C₄	—	178	1	no	—
1247	C₂×C₄	—	178	1	no	—
1248	C₂×C₄	—	178	1	no	—
1249	C₂×C₄	—	178	1	no	—
1250	C₂×C₄	—	178	1	no	—
1251	C₂×C₄	—	178	1	no	—
1252	C₂×C₄	—	178	1	no	—
1253	C₂×C₄	—	178	1	no	—
1254	C₂×C₄	—	178	1	no	—
1255	C₂×C₄	—	178	1	no	—
1256	C₂×C₄	—	178	1	no	—
1257	C₂×C₄	—	178	1	no	—
1258	C₂×C₄	—	178	1	no	—
1259	C₂×C₄	—	178	1	no	—
1260	C₂×C₄	—	178	1	no	—
1261	C₂×C₄	—	178	1	no	—
1262	C₂×C₄	—	178	1	no	—
1263	C₂×C₄	—	178	1	no	—
1264	C₂×C₄	—	178	1	no	—
1265	C₂×C₄	—	178	1	no	—
1266	C₂×C₄	—	178	1	no	—
1267	C₂×C₄	—	178	1	no	—
1268	C₂×C₄	—	178	1	no	—
1269	C₂×C₄	—	178	1	no	—
1270	C₂×C₄	—	178	1	no	—
1271	C₂×C₄	—	178	1	no	—
1272	C₂×C₄	—	178	1	no	—
1273	C₂×C₄	—	712	2	no	—
1274	C₂×C₄	—	712	2	no	—
1275	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1276	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1277	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1278	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1279	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1280	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1281	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1282	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1283	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1284	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1285	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1286	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1287	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	C₂⁴×Dic₈₉	1	1	yes	characteristic
1303	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1304	C₂²	#19152434	1	1	yes	characteristic
1305	C₂²	#19152434	1	1	yes	characteristic
1306	C₂²	#19152434	1	1	yes	characteristic
1307	C₂²	#19152434	1	1	yes	characteristic
1308	C₂²	#19152435	1	1	yes	characteristic
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	356	1	no	—
1323	C₄	—	356	1	no	—
1324	C₄	—	356	1	no	—
1325	C₄	—	356	1	no	—
1326	C₄	—	356	1	no	—
1327	C₄	—	356	1	no	—
1328	C₄	—	356	1	no	—
1329	C₄	—	356	1	no	—
1330	C₄	—	356	1	no	—
1331	C₄	—	356	1	no	—
1332	C₄	—	356	1	no	—
1333	C₄	—	356	1	no	—
1334	C₄	—	356	1	no	—
1335	C₄	—	356	1	no	—
1336	C₄	—	356	1	no	—
1337	C₄	—	178	2	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	#26033455	1	1	yes	characteristic
1341	C₂	#26033455	1	1	yes	characteristic
1342	C₂	2₋¹⁺⁴×Dic₈₉	1	1	yes	characteristic
1343	C₂	#26034863	1	1	yes	characteristic
1344	C₂	#26034882	1	1	yes	characteristic
1345	C₂	#26034934	1	1	yes	characteristic
1346	C₂	#26034941	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₂×#552×C₈₉	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂²×D₄×C₈₉	C₂³
hypercenter	C₂×#552	D₈₉
hypocenter	C₈₉	#34507
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. #26023438	C₂	semidirect
2. #26023418	C₂	semidirect
3. #26023418	C₂	semidirect
6. #26023376	C₂	semidirect
7. #26023376	C₂	semidirect
8. #26023358	C₂	semidirect
9. #26023352	C₂	semidirect
10. #26023217	C₂	semidirect
12. #26023145	C₂	semidirect
13. #26023137	C₂	semidirect
14. #26023129	C₂	semidirect
15. #26023112	C₂	semidirect
16. #26023058	C₂	semidirect
17. #26023058	C₂	semidirect
20. #26023031	C₂	semidirect
21. #26023010	C₂	semidirect
22. #26022994	C₂	semidirect
23. #26022987	C₂	semidirect
25. #26022861	C₂	semidirect
26. #26022861	C₂	semidirect
27. #26022855	C₂	semidirect
28. #126×Dic₈₉	C₂	semidirect
29. #26022750	C₂	semidirect
30. #26022730	C₂	semidirect
172. #552×C₈₉	C₄	semidirect
316. #125×C₈₉	C₂×C₄	semidirect
317. #125×C₈₉	C₂×C₄	semidirect
318. #125×C₈₉	C₂×C₄	semidirect
322. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
323. C₄×Q₈×C₈₉	C₂×C₄	semidirect
326. #117×C₈₉	C₂×C₄	semidirect
327. #117×C₈₉	C₂×C₄	semidirect
328. C₂×C₄⋊C₄×C₈₉	C₂×C₄	semidirect
705. C₈₉	#34507	semidirect
706. #552	Dic₈₉	semidirect
872. #125	C₂×Dic₈₉	semidirect
873. #125	C₂×Dic₈₉	semidirect
874. #125	C₂×Dic₈₉	semidirect
878. C₂²⋊Q₈	C₂×Dic₈₉	semidirect
879. C₄×Q₈	C₂×Dic₈₉	semidirect
882. #117	C₂×Dic₈₉	semidirect
883. #117	C₂×Dic₈₉	semidirect
908. 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
#26023438	2
#26023418	2
#26023400	2
#26023388	2
#26023376	2
#26023358	2
#26023352	2
#26023217	2
#26023192	2
#26023145	2
#26023137	2
#26023129	2
#26023112	2
#26023058	2
#26023046	2
#26023031	2
#26023010	2
#26022994	2
#26022987	2
#26022895	2
#26022861	2
#26022855	2
#126×Dic₈₉	2
#26022750	2
#26022730	2
C₂×#552×C₈₉	2
#34507	89