Subgroups — #36718964

Order 22784.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26023426	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	#26023400	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023337	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023272	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023248	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023236	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023236	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023181	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023162	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023101	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023101	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023082	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×C₂²⋊Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023067	C₂	1	1	yes	maximal, characteristic, complemented
17	#26023046	C₂	1	1	yes	maximal, characteristic, complemented
18	#26022987	C₂	1	1	yes	maximal, characteristic, complemented
19	#26022957	C₂	1	1	yes	maximal, characteristic, complemented
20	#26022957	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022947	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022924	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022913	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022885	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022885	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022866	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022844	C₂	1	1	yes	maximal, characteristic, complemented
28	#120×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#19151478	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151473	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#546×C₈₉	C₂	1	1	yes	maximal, characteristic
32	C₂⁴×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, complemented
38	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#15667971	C₂²	1	1	yes	characteristic, complemented
42	C₂×#15667971	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
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×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
50	#19151505	C₂²	1	1	yes	characteristic, complemented
51	#19151505	C₂²	1	1	yes	characteristic, complemented
52	#19151505	C₂²	1	1	yes	characteristic, complemented
53	#19151505	C₂²	1	1	yes	characteristic, complemented
54	#19151501	C₂²	1	1	yes	characteristic
55	#19151501	C₂²	1	1	yes	characteristic
56	#19151501	C₂²	1	1	yes	characteristic, complemented
57	#19151501	C₂²	1	1	yes	characteristic, complemented
58	#19151501	C₂²	1	1	yes	characteristic, complemented
59	#19151501	C₂²	1	1	yes	characteristic, complemented
60	#19151497	C₂²	1	1	yes	characteristic, complemented
61	#19151497	C₂²	1	1	yes	characteristic, complemented
62	#19151497	C₂²	1	1	yes	characteristic, complemented
63	#19151497	C₂²	1	1	yes	characteristic, complemented
64	#19151491	C₂²	1	1	yes	characteristic, complemented
65	#19151491	C₂²	1	1	yes	characteristic, complemented
66	#19151491	C₂²	1	1	yes	characteristic, complemented
67	#19151491	C₂²	1	1	yes	characteristic, complemented
68	#19151491	C₂²	1	1	yes	characteristic, complemented
69	#19151491	C₂²	1	1	yes	characteristic, complemented
70	#19151491	C₂²	1	1	yes	characteristic, complemented
71	#19151491	C₂²	1	1	yes	characteristic, complemented
72	#19151491	C₂²	1	1	yes	characteristic, complemented
73	#19151491	C₂²	1	1	yes	characteristic, complemented
74	#19151491	C₂²	1	1	yes	characteristic, complemented
75	#19151491	C₂²	1	1	yes	characteristic, complemented
76	#19151491	C₂²	1	1	yes	characteristic, complemented
77	#19151491	C₂²	1	1	yes	characteristic, complemented
78	#19151491	C₂²	1	1	yes	characteristic, complemented
79	#19151491	C₂²	1	1	yes	characteristic, complemented
80	#19151491	C₂²	1	1	yes	characteristic, complemented
81	#19151491	C₂²	1	1	yes	characteristic, complemented
82	#19151484	C₂²	1	1	yes	characteristic, complemented
83	#19151484	C₂²	1	1	yes	characteristic, complemented
84	#19151484	C₂²	1	1	yes	characteristic, complemented
85	#19151484	C₂²	1	1	yes	characteristic, complemented
86	#19151484	C₂²	1	1	yes	characteristic, complemented
87	#19151484	C₂²	1	1	yes	characteristic, complemented
88	#19151484	C₂²	1	1	yes	characteristic, complemented
89	#19151484	C₂²	1	1	yes	characteristic, complemented
90	#19151484	C₂²	1	1	yes	characteristic, complemented
91	#19151484	C₂²	1	1	yes	characteristic, complemented
92	#19151478	C₂²	1	1	yes	characteristic
93	#19151478	C₂²	1	1	yes	characteristic
94	#19151478	C₂²	1	1	yes	characteristic
95	#19151478	C₂²	1	1	yes	characteristic
96	#19151478	C₂²	1	1	yes	characteristic
97	#19151478	C₂²	1	1	yes	characteristic
98	#19151478	C₂²	1	1	yes	characteristic
99	#19151478	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, complemented
107	#19151478	C₂²	1	1	yes	characteristic, complemented
108	#19151478	C₂²	1	1	yes	characteristic, complemented
109	#19151478	C₂²	1	1	yes	characteristic, complemented
110	#19151478	C₂²	1	1	yes	characteristic, complemented
111	#19151478	C₂²	1	1	yes	characteristic, complemented
112	#19151478	C₂²	1	1	yes	characteristic, complemented
113	#19151478	C₂²	1	1	yes	characteristic, complemented
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, complemented
123	#19151473	C₂²	1	1	yes	characteristic, complemented
124	#19151473	C₂²	1	1	yes	characteristic, complemented
125	#19151473	C₂²	1	1	yes	characteristic, complemented
126	#19151473	C₂²	1	1	yes	characteristic, complemented
127	#19151473	C₂²	1	1	yes	characteristic, complemented
128	#19151473	C₂²	1	1	yes	characteristic, complemented
129	#19151473	C₂²	1	1	yes	characteristic, complemented
130	#19151473	C₂²	1	1	yes	characteristic, complemented
131	#19151473	C₂²	1	1	yes	characteristic, complemented
132	#19151473	C₂²	1	1	yes	characteristic, complemented
133	#19151473	C₂²	1	1	yes	characteristic, complemented
134	#19151473	C₂²	1	1	yes	characteristic, complemented
135	#19151473	C₂²	1	1	yes	characteristic, complemented
136	#19151466	C₂²	1	1	yes	characteristic, complemented
137	#19151464	C₂²	1	1	yes	characteristic, complemented
138	#19151464	C₂²	1	1	yes	characteristic, complemented
139	#19151461	C₂²	1	1	yes	characteristic, complemented
140	#19151461	C₂²	1	1	yes	characteristic, complemented
141	#19151461	C₂²	1	1	yes	characteristic, complemented
142	#19151458	C₂²	1	1	yes	characteristic
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	#19151458	C₂²	1	1	yes	characteristic, complemented
147	#19151458	C₂²	1	1	yes	characteristic, complemented
148	#19151458	C₂²	1	1	yes	characteristic, complemented
149	#19151458	C₂²	1	1	yes	characteristic, complemented
150	#19151458	C₂²	1	1	yes	characteristic, complemented
151	#19151454	C₂²	1	1	yes	characteristic
152	#19151454	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
154	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
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, complemented
161	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
167	C₂×#15667919	C₂²	1	1	yes	characteristic
168	C₂×#15667919	C₂²	1	1	yes	characteristic
169	C₂×#15667919	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	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic
173	C₂³×D₄×C₈₉	C₂²	1	1	yes	characteristic
174	#546×C₈₉	C₄	1	16	yes	complemented
175	C₂×#124×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×C₂²⋊Q₈×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×#120×C₈₉	C₂²	1	1	yes	characteristic
183	C₂×#120×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	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
187	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
188	C₂³×Dic₈₉	—	4	2	no	—
189	C₂³×Dic₈₉	—	4	2	no	—
190	C₂³×Dic₈₉	—	4	2	no	—
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	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
201	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
202	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
203	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
204	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
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	D₄×Dic₈₉	—	4	2	no	—
213	#15667971	—	4	2	no	—
214	#15667971	—	4	2	no	—
215	C₂×C₄⋊Dic₈₉	—	4	2	no	—
216	C₂×C₄⋊Dic₈₉	—	4	2	no	—
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×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×C₂²⋊Dic₈₉	—	4	2	no	—
238	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
239	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
240	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
241	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
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×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊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	#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	#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	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
329	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×#41×C₈₉	—	4	2	no	—
331	C₂×#41×C₈₉	—	4	2	no	—
332	C₂×#41×C₈₉	C₂×C₄	1	8	yes	complemented
333	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
334	C₂²×D₄×C₈₉	—	4	2	no	—
335	C₂²×D₄×C₈₉	—	4	2	no	—
336	C₂²×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
337	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
352	#124×C₈₉	C₂×C₄	1	8	yes	complemented
353	#123×C₈₉	C₂×C₄	1	8	yes	complemented
354	#123×C₈₉	C₂×C₄	1	8	yes	complemented
355	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
356	#121×C₈₉	C₂×C₄	1	8	yes	complemented
357	#121×C₈₉	C₂×C₄	1	8	yes	complemented
358	#121×C₈₉	C₂×C₄	1	8	yes	complemented
359	#120×C₈₉	C₂×C₄	1	8	yes	complemented
360	#120×C₈₉	C₂×C₄	1	8	yes	complemented
361	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
362	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
363	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₈₉	C₂×C₄	1	8	yes	complemented
368	C₂×C₂²⋊C₄×C₈₉	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
381	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
382	C₂²×Dic₈₉	—	2	2	no	—
383	C₂²×Dic₈₉	—	2	2	no	—
384	C₂²×Dic₈₉	—	2	2	no	—
385	C₂²×Dic₈₉	—	2	2	no	—
386	C₂²×Dic₈₉	—	2	2	no	—
387	C₂²×Dic₈₉	—	2	2	no	—
388	C₂²×Dic₈₉	—	2	2	no	—
389	C₂²×Dic₈₉	—	2	2	no	—
390	C₂²×Dic₈₉	—	2	2	no	—
391	C₂²×Dic₈₉	—	2	2	no	—
392	C₂²×Dic₈₉	—	2	2	no	—
393	C₂²×Dic₈₉	—	2	2	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	—	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	C₂²×Dic₈₉	—	4	1	no	—
419	C₂²×Dic₈₉	—	4	1	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	16	no	—
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	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
441	C₄⋊Dic₈₉	—	2	2	no	—
442	C₄⋊Dic₈₉	—	2	2	no	—
443	C₄⋊Dic₈₉	—	4	1	no	—
444	C₄⋊Dic₈₉	—	4	1	no	—
445	C₄⋊Dic₈₉	—	4	1	no	—
446	C₄⋊Dic₈₉	—	4	1	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	C₂²⋊Dic₈₉	—	2	2	no	—
462	C₂²⋊Dic₈₉	—	2	2	no	—
463	C₂²⋊Dic₈₉	—	2	2	no	—
464	C₂²⋊Dic₈₉	—	2	2	no	—
465	C₂²⋊Dic₈₉	—	2	2	no	—
466	C₂²⋊Dic₈₉	—	2	2	no	—
467	C₂²⋊Dic₈₉	—	2	2	no	—
468	C₂²⋊Dic₈₉	—	2	2	no	—
469	C₂²⋊Dic₈₉	—	2	2	no	—
470	C₂²⋊Dic₈₉	—	2	2	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	C₂²⋊Dic₈₉	—	4	1	no	—
483	C₂²⋊Dic₈₉	—	4	1	no	—
484	C₂²⋊Dic₈₉	—	4	1	no	—
485	C₂²⋊Dic₈₉	—	4	1	no	—
486	C₂²⋊Dic₈₉	—	4	1	no	—
487	C₂²⋊Dic₈₉	—	4	1	no	—
488	C₂²⋊Dic₈₉	—	4	1	no	—
489	C₂²⋊Dic₈₉	—	4	1	no	—
490	C₂²⋊Dic₈₉	—	4	1	no	—
491	C₂²⋊Dic₈₉	—	4	1	no	—
492	C₂²⋊Dic₈₉	—	4	1	no	—
493	C₂²⋊Dic₈₉	—	4	1	no	—
494	C₂²⋊Dic₈₉	—	4	1	no	—
495	C₄×Dic₈₉	—	2	2	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	C₄×Dic₈₉	—	4	1	no	—
501	C₄×Dic₈₉	—	4	1	no	—
502	C₄×Dic₈₉	—	4	1	no	—
503	C₄×Dic₈₉	—	4	1	no	—
504	C₄×Dic₈₉	—	4	1	no	—
505	C₄×Dic₈₉	—	4	1	no	—
506	C₄×Dic₈₉	—	4	1	no	—
507	C₂⁴×C₈₉	—	2	2	no	—
508	C₂⁴×C₈₉	—	2	2	no	—
509	C₂⁴×C₈₉	—	2	2	no	—
510	C₂⁴×C₈₉	—	2	2	no	—
511	C₂⁴×C₈₉	—	2	2	no	—
512	C₂⁴×C₈₉	—	2	2	no	—
513	C₂⁴×C₈₉	—	4	1	no	—
514	C₂⁴×C₈₉	—	4	1	no	—
515	C₂⁴×C₈₉	—	4	1	no	—
516	C₂⁴×C₈₉	—	4	1	no	—
517	C₂⁴×C₈₉	—	4	1	no	—
518	C₂⁴×C₈₉	—	4	1	no	—
519	C₂⁴×C₈₉	C₂²×C₄	1	4	yes	—
520	C₂⁴×C₈₉	C₂²×C₄	1	4	yes	—
521	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
525	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
526	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
527	#41×C₈₉	—	4	16	no	—
528	C₂×Q₈×C₈₉	—	4	1	no	—
529	C₂×Q₈×C₈₉	—	4	1	no	—
530	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	complemented
531	C₂×D₄×C₈₉	—	2	2	no	—
532	C₂×D₄×C₈₉	—	2	2	no	—
533	C₂×D₄×C₈₉	—	2	2	no	—
534	C₂×D₄×C₈₉	—	2	2	no	—
535	C₂×D₄×C₈₉	—	2	2	no	—
536	C₂×D₄×C₈₉	—	2	2	no	—
537	C₂×D₄×C₈₉	—	2	2	no	—
538	C₂×D₄×C₈₉	—	2	2	no	—
539	C₂×D₄×C₈₉	—	4	1	no	—
540	C₂×D₄×C₈₉	—	4	1	no	—
541	C₂×D₄×C₈₉	—	4	1	no	—
542	C₂×D₄×C₈₉	—	4	1	no	—
543	C₂×D₄×C₈₉	—	4	1	no	—
544	C₂×D₄×C₈₉	—	4	1	no	—
545	C₂×D₄×C₈₉	—	4	1	no	—
546	C₂×D₄×C₈₉	—	4	1	no	—
547	C₂×D₄×C₈₉	—	4	1	no	—
548	C₂×D₄×C₈₉	—	4	1	no	—
549	C₂×D₄×C₈₉	—	4	16	no	—
550	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
551	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
552	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
553	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
554	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
555	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
556	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
557	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	complemented
558	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	complemented
559	C₂²×C₄×C₈₉	—	2	2	no	—
560	C₂²×C₄×C₈₉	—	2	2	no	—
561	C₂²×C₄×C₈₉	—	4	1	no	—
562	C₂²×C₄×C₈₉	—	4	1	no	—
563	C₂²×C₄×C₈₉	—	4	1	no	—
564	C₂²×C₄×C₈₉	—	4	1	no	—
565	C₂²×C₄×C₈₉	—	4	1	no	—
566	C₂²×C₄×C₈₉	—	4	1	no	—
567	C₂²×C₄×C₈₉	—	4	1	no	—
568	C₂²×C₄×C₈₉	—	4	1	no	—
569	C₂²×C₄×C₈₉	—	4	1	no	—
570	C₂²×C₄×C₈₉	—	4	1	no	—
571	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
572	C₂²×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	complemented
575	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
576	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
577	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
586	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
587	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
588	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
589	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
590	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
591	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
592	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
593	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
594	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
595	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
596	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
597	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
598	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
599	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
600	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
601	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
602	C₄²×C₈₉	C₂²×C₄	1	4	yes	complemented
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	8	no	—
612	C₂³×C₈₉	—	2	8	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	—	2	1	no	—
623	C₂³×C₈₉	—	2	1	no	—
624	C₂³×C₈₉	—	2	1	no	—
625	C₂³×C₈₉	—	2	1	no	—
626	C₂³×C₈₉	—	2	1	no	—
627	C₂³×C₈₉	—	2	1	no	—
628	C₂³×C₈₉	—	2	1	no	—
629	C₂³×C₈₉	—	2	1	no	—
630	C₂³×C₈₉	—	2	1	no	—
631	C₂³×C₈₉	—	2	1	no	—
632	C₂³×C₈₉	—	2	1	no	—
633	C₂³×C₈₉	—	2	1	no	—
634	C₂³×C₈₉	—	2	1	no	—
635	C₂³×C₈₉	—	2	1	no	—
636	C₂³×C₈₉	—	2	1	no	—
637	C₂³×C₈₉	—	2	8	no	—
638	C₂³×C₈₉	—	4	4	no	—
639	C₂³×C₈₉	—	4	4	no	—
640	C₂³×C₈₉	—	4	4	no	—
641	C₂³×C₈₉	—	4	4	no	—
642	C₂³×C₈₉	—	4	4	no	—
643	C₂³×C₈₉	—	4	4	no	—
644	C₂³×C₈₉	—	4	4	no	—
645	C₂³×C₈₉	—	8	2	no	—
646	C₂³×C₈₉	—	8	2	no	—
647	C₂³×C₈₉	—	8	2	no	—
648	C₂³×C₈₉	—	8	2	no	—
649	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
650	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
651	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
652	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
653	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
654	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
655	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
656	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
657	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
658	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
659	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
660	Q₈×C₈₉	—	4	4	no	—
661	D₄×C₈₉	—	2	8	no	—
662	D₄×C₈₉	—	2	8	no	—
663	D₄×C₈₉	—	2	8	no	—
664	D₄×C₈₉	—	2	8	no	—
665	D₄×C₈₉	—	4	4	no	—
666	D₄×C₈₉	—	4	4	no	—
667	D₄×C₈₉	—	4	4	no	—
668	D₄×C₈₉	—	4	4	no	—
669	D₄×C₈₉	—	4	4	no	—
670	C₂×C₄×C₈₉	—	2	8	no	—
671	C₂×C₄×C₈₉	—	2	1	no	—
672	C₂×C₄×C₈₉	—	2	1	no	—
673	C₂×C₄×C₈₉	—	2	1	no	—
674	C₂×C₄×C₈₉	—	2	1	no	—
675	C₂×C₄×C₈₉	—	2	1	no	—
676	C₂×C₄×C₈₉	—	2	1	no	—
677	C₂×C₄×C₈₉	—	2	1	no	—
678	C₂×C₄×C₈₉	—	2	1	no	—
679	C₂×C₄×C₈₉	—	2	1	no	—
680	C₂×C₄×C₈₉	—	2	1	no	—
681	C₂×C₄×C₈₉	—	2	1	no	—
682	C₂×C₄×C₈₉	—	2	1	no	—
683	C₂×C₄×C₈₉	—	2	1	no	—
684	C₂×C₄×C₈₉	—	2	1	no	—
685	C₂×C₄×C₈₉	—	2	1	no	—
686	C₂×C₄×C₈₉	—	2	1	no	—
687	C₂×C₄×C₈₉	—	2	1	no	—
688	C₂×C₄×C₈₉	—	2	1	no	—
689	C₂×C₄×C₈₉	—	4	4	no	—
690	C₂×C₄×C₈₉	—	4	4	no	—
691	C₂×C₄×C₈₉	—	4	4	no	—
692	C₂×C₄×C₈₉	—	4	4	no	—
693	C₂×C₄×C₈₉	—	4	4	no	—
694	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
695	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
696	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
697	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
698	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
699	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
700	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
701	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
702	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
724	C₂×Dic₈₉	—	2	1	no	—
725	C₂×Dic₈₉	—	2	1	no	—
726	C₂×Dic₈₉	—	2	1	no	—
727	C₂×Dic₈₉	—	2	1	no	—
728	C₂×Dic₈₉	—	2	1	no	—
729	C₂×Dic₈₉	—	2	1	no	—
730	C₂×Dic₈₉	—	2	1	no	—
731	C₂×Dic₈₉	—	2	1	no	—
732	C₂×Dic₈₉	—	2	1	no	—
733	C₂×Dic₈₉	—	2	1	no	—
734	C₂×Dic₈₉	—	2	1	no	—
735	C₂×Dic₈₉	—	2	1	no	—
736	C₂×Dic₈₉	—	2	1	no	—
737	C₂×Dic₈₉	—	2	1	no	—
738	C₂×Dic₈₉	—	2	1	no	—
739	C₂×Dic₈₉	—	2	1	no	—
740	C₂×Dic₈₉	—	2	1	no	—
741	C₂×Dic₈₉	—	2	1	no	—
742	C₂×Dic₈₉	—	2	1	no	—
743	C₂×Dic₈₉	—	2	1	no	—
744	C₂×Dic₈₉	—	2	1	no	—
745	C₂×Dic₈₉	—	2	1	no	—
746	C₂×Dic₈₉	—	2	1	no	—
747	C₂×Dic₈₉	—	2	1	no	—
748	C₂×Dic₈₉	—	2	1	no	—
749	C₂×Dic₈₉	—	2	1	no	—
750	C₂×Dic₈₉	—	4	4	no	—
751	C₂×Dic₈₉	—	4	4	no	—
752	C₂×Dic₈₉	—	4	4	no	—
753	C₂×Dic₈₉	—	4	4	no	—
754	C₂×Dic₈₉	—	4	4	no	—
755	C₂×Dic₈₉	—	4	4	no	—
756	C₂×Dic₈₉	—	8	2	no	—
757	C₂×Dic₈₉	—	8	2	no	—
758	C₂×Dic₈₉	—	8	2	no	—
759	C₂×Dic₈₉	—	8	2	no	—
760	C₂×Dic₈₉	—	8	2	no	—
761	C₂×Dic₈₉	—	8	2	no	—
762	C₂×Dic₈₉	—	8	2	no	—
763	C₂×Dic₈₉	—	8	2	no	—
764	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
765	C₂²×C₈₉	—	2	2	no	—
766	C₂²×C₈₉	—	2	2	no	—
767	C₂²×C₈₉	—	2	2	no	—
768	C₂²×C₈₉	—	2	2	no	—
769	C₂²×C₈₉	—	2	2	no	—
770	C₂²×C₈₉	—	2	2	no	—
771	C₂²×C₈₉	—	2	2	no	—
772	C₂²×C₈₉	—	2	2	no	—
773	C₂²×C₈₉	—	2	2	no	—
774	C₂²×C₈₉	—	2	2	no	—
775	C₂²×C₈₉	—	2	2	no	—
776	C₂²×C₈₉	—	2	2	no	—
777	C₂²×C₈₉	—	2	2	no	—
778	C₂²×C₈₉	—	2	2	no	—
779	C₂²×C₈₉	—	2	2	no	—
780	C₂²×C₈₉	—	2	2	no	—
781	C₂²×C₈₉	—	2	2	no	—
782	C₂²×C₈₉	—	2	2	no	—
783	C₂²×C₈₉	—	2	2	no	—
784	C₂²×C₈₉	—	2	2	no	—
785	C₂²×C₈₉	—	2	2	no	—
786	C₂²×C₈₉	—	2	2	no	—
787	C₂²×C₈₉	—	2	2	no	—
788	C₂²×C₈₉	—	2	2	no	—
789	C₂²×C₈₉	—	4	16	no	—
790	C₂²×C₈₉	—	4	1	no	—
791	C₂²×C₈₉	—	4	1	no	—
792	C₂²×C₈₉	—	4	1	no	—
793	C₂²×C₈₉	—	4	1	no	—
794	C₂²×C₈₉	—	4	1	no	—
795	C₂²×C₈₉	—	4	1	no	—
796	C₂²×C₈₉	—	4	1	no	—
797	C₂²×C₈₉	—	4	1	no	—
798	C₂²×C₈₉	—	4	1	no	—
799	C₂²×C₈₉	—	4	1	no	—
800	C₂²×C₈₉	—	4	1	no	—
801	C₂²×C₈₉	—	4	1	no	—
802	C₂²×C₈₉	—	4	1	no	—
803	C₂²×C₈₉	—	4	1	no	—
804	C₂²×C₈₉	—	4	1	no	—
805	C₂²×C₈₉	—	4	1	no	—
806	C₂²×C₈₉	—	8	8	no	—
807	C₂²×C₈₉	#518	1	4	yes	—
808	C₂²×C₈₉	#520	1	4	yes	—
809	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
810	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
811	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
812	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
813	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
814	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
815	C₂²×C₈₉	#585	1	1	yes	characteristic
816	C₄×C₈₉	—	2	2	no	—
817	C₄×C₈₉	—	2	2	no	—
818	C₄×C₈₉	—	2	2	no	—
819	C₄×C₈₉	—	2	2	no	—
820	C₄×C₈₉	—	2	2	no	—
821	C₄×C₈₉	—	2	2	no	—
822	C₄×C₈₉	—	2	2	no	—
823	C₄×C₈₉	—	2	2	no	—
824	C₄×C₈₉	—	2	2	no	—
825	Dic₈₉	—	2	2	no	—
826	Dic₈₉	—	4	1	no	—
827	Dic₈₉	—	4	1	no	—
828	Dic₈₉	—	4	1	no	—
829	Dic₈₉	—	4	1	no	—
830	Dic₈₉	—	4	1	no	—
831	Dic₈₉	—	4	1	no	—
832	Dic₈₉	—	4	1	no	—
833	Dic₈₉	—	4	1	no	—
834	Dic₈₉	—	4	1	no	—
835	Dic₈₉	—	4	1	no	—
836	Dic₈₉	—	4	1	no	—
837	Dic₈₉	—	4	1	no	—
838	Dic₈₉	—	4	1	no	—
839	Dic₈₉	—	4	1	no	—
840	Dic₈₉	—	4	1	no	—
841	#34456	—	89	1	no	maximal, Sylow
842	C₂×C₈₉	—	2	4	no	—
843	C₂×C₈₉	—	2	4	no	—
844	C₂×C₈₉	—	4	2	no	—
845	C₂×C₈₉	—	4	2	no	—
846	C₂×C₈₉	—	4	2	no	—
847	C₂×C₈₉	—	4	2	no	—
848	C₂×C₈₉	C₂×#518	1	1	yes	characteristic
849	C₂×C₈₉	C₂×#520	1	1	yes	characteristic
850	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
851	C₂×C₈₉	#3532	1	1	yes	characteristic
852	C₂×C₈₉	#3534	1	1	yes	characteristic
853	C₂×C₈₉	#3535	1	1	yes	characteristic
854	C₂×C₈₉	#3536	1	1	yes	characteristic
855	C₂×#546	D₈₉	1	1	yes	characteristic
856	#2379	—	89	1	no	—
857	#2377	—	89	1	no	—
858	#2377	—	89	1	no	—
859	#2376	—	89	1	no	—
860	#2368	—	89	1	no	—
861	#2361	—	89	1	no	—
862	#2359	—	89	1	no	—
863	#2358	—	89	1	no	—
864	#2358	—	89	1	no	—
865	#2352	—	89	1	no	—
866	#2349	—	89	1	no	—
867	#2342	—	89	1	no	—
868	#2342	—	89	1	no	—
869	#2339	—	89	1	no	—
870	D₄×C₂²⋊C₄	—	89	1	no	—
871	#2337	—	89	1	no	—
872	#2335	—	89	1	no	—
873	#2329	—	89	1	no	—
874	#2325	—	89	1	no	—
875	#2325	—	89	1	no	—
876	#2324	—	89	1	no	—
877	#2322	—	89	1	no	—
878	#2321	—	89	1	no	—
879	#2318	—	89	1	no	—
880	#2318	—	89	1	no	—
881	#2315	—	89	1	no	—
882	#2311	—	89	1	no	—
883	C₄×#120	—	89	1	no	—
884	C₂×#386	—	89	1	no	—
885	C₂×#385	—	89	1	no	—
886	C₈₉	#34456	1	1	yes	characteristic, complemented, Sylow
887	C₂²×#41	C₂×D₈₉	1	1	yes	characteristic
888	C₂³×D₄	C₂×D₈₉	1	1	yes	characteristic
889	C₂⁴×C₄	—	89	1	no	—
890	#546	Dic₈₉	1	16	yes	complemented
891	C₂×#124	C₂×D₈₉	1	1	yes	characteristic
892	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
893	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
894	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
895	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
896	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
897	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
898	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
899	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
900	C₂×C₄×D₄	—	89	1	no	—
901	C₂×C₄×D₄	—	89	1	no	—
902	C₂×C₄×D₄	—	89	1	no	—
903	C₂×C₄×D₄	—	89	1	no	—
904	C₂×C₄×D₄	—	89	1	no	—
905	C₂×C₄×D₄	—	89	1	no	—
906	C₂×C₄×D₄	—	89	1	no	—
907	C₂×C₄×D₄	—	89	1	no	—
908	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
909	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
910	C₂×#117	—	89	1	no	—
911	C₂×#117	—	89	1	no	—
912	C₂²×C₄⋊C₄	—	89	1	no	—
913	C₂²×C₄⋊C₄	—	89	1	no	—
914	C₂²×C₂²⋊C₄	—	89	1	no	—
915	C₂²×C₂²⋊C₄	—	89	1	no	—
916	C₂²×C₂²⋊C₄	—	89	1	no	—
917	C₂²×C₂²⋊C₄	—	89	1	no	—
918	C₂²×C₂²⋊C₄	—	89	1	no	—
919	C₂²×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
920	C₂²×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
921	#391	—	89	1	no	—
922	#391	—	89	1	no	—
923	#391	—	89	1	no	—
924	#391	—	89	1	no	—
925	#390	—	89	1	no	—
926	#390	—	89	1	no	—
927	#390	—	89	1	no	—
928	#390	—	89	1	no	—
929	#390	—	89	1	no	—
930	#390	—	89	1	no	—
931	#389	—	89	1	no	—
932	#389	—	89	1	no	—
933	#389	—	89	1	no	—
934	#389	—	89	1	no	—
935	#388	—	89	1	no	—
936	#388	—	89	1	no	—
937	#388	—	89	1	no	—
938	#388	—	89	1	no	—
939	#388	—	89	1	no	—
940	#388	—	89	1	no	—
941	#388	—	89	1	no	—
942	#388	—	89	1	no	—
943	#388	—	89	1	no	—
944	#388	—	89	1	no	—
945	#388	—	89	1	no	—
946	#388	—	89	1	no	—
947	#388	—	89	1	no	—
948	#388	—	89	1	no	—
949	#388	—	89	1	no	—
950	#388	—	89	1	no	—
951	#388	—	89	1	no	—
952	#388	—	89	1	no	—
953	#387	—	89	1	no	—
954	#387	—	89	1	no	—
955	#387	—	89	1	no	—
956	#387	—	89	1	no	—
957	#387	—	89	1	no	—
958	#387	—	89	1	no	—
959	#387	—	89	1	no	—
960	#387	—	89	1	no	—
961	#387	—	89	1	no	—
962	#387	—	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	#386	—	89	1	no	—
972	#386	—	89	1	no	—
973	#386	—	89	1	no	—
974	#386	—	89	1	no	—
975	#386	—	89	1	no	—
976	#386	—	89	1	no	—
977	#386	—	89	1	no	—
978	#386	—	89	1	no	—
979	#386	—	89	1	no	—
980	#386	—	89	1	no	—
981	#386	—	89	1	no	—
982	#386	—	89	1	no	—
983	#386	—	89	1	no	—
984	#386	—	89	1	no	—
985	#385	—	89	1	no	—
986	#385	—	89	1	no	—
987	#385	—	89	1	no	—
988	#385	—	89	1	no	—
989	#385	—	89	1	no	—
990	#385	—	89	1	no	—
991	#385	—	89	1	no	—
992	#385	—	89	1	no	—
993	#385	—	89	1	no	—
994	#385	—	89	1	no	—
995	#385	—	89	1	no	—
996	#385	—	89	1	no	—
997	#385	—	89	1	no	—
998	#385	—	89	1	no	—
999	#385	—	89	1	no	—
1000	#385	—	89	1	no	—
1001	#385	—	89	1	no	—
1002	#385	—	89	1	no	—
1003	#385	—	89	1	no	—
1004	#385	—	89	1	no	—
1005	#385	—	89	1	no	—
1006	#385	—	89	1	no	—
1007	#383	—	89	1	no	—
1008	#382	—	89	1	no	—
1009	#382	—	89	1	no	—
1010	#381	—	89	1	no	—
1011	#381	—	89	1	no	—
1012	#381	—	89	1	no	—
1013	#380	—	89	1	no	—
1014	#380	—	89	1	no	—
1015	#380	—	89	1	no	—
1016	#380	—	89	1	no	—
1017	#380	—	89	1	no	—
1018	#380	—	89	1	no	—
1019	#380	—	89	1	no	—
1020	#380	—	89	1	no	—
1021	#380	—	89	1	no	—
1022	#379	—	89	1	no	—
1023	#379	—	89	1	no	—
1024	C₄×C₄⋊C₄	—	89	1	no	—
1025	C₄×C₄⋊C₄	—	89	1	no	—
1026	C₄×C₄⋊C₄	—	89	1	no	—
1027	C₄×C₂²⋊C₄	—	89	1	no	—
1028	C₄×C₂²⋊C₄	—	89	1	no	—
1029	C₄×C₂²⋊C₄	—	89	1	no	—
1030	C₄×C₂²⋊C₄	—	89	1	no	—
1031	C₄×C₂²⋊C₄	—	89	1	no	—
1032	C₄×C₂²⋊C₄	—	89	1	no	—
1033	C₄×C₂²⋊C₄	—	89	1	no	—
1034	C₄×C₂²⋊C₄	—	89	1	no	—
1035	C₄×C₂²⋊C₄	—	89	1	no	—
1036	C₄×C₂²⋊C₄	—	89	1	no	—
1037	C₄×C₂²⋊C₄	—	89	1	no	—
1038	C₂×#95	—	89	1	no	—
1039	C₂×#95	—	89	1	no	—
1040	C₂×#95	—	89	1	no	—
1041	C₂×#95	—	89	1	no	—
1042	C₂×#95	—	89	1	no	—
1043	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
1044	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
1045	C₂×#41	—	4	2	no	—
1046	C₂×#41	—	4	2	no	—
1047	C₂×#41	C₂×Dic₈₉	1	8	yes	complemented
1048	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
1049	C₂²×D₄	—	4	2	no	—
1050	C₂²×D₄	—	4	2	no	—
1051	C₂²×D₄	C₂×Dic₈₉	1	8	yes	complemented
1052	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1053	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1054	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1055	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1056	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1057	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1058	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1059	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1060	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1061	C₂³×C₄	—	89	1	no	—
1062	C₂³×C₄	—	89	1	no	—
1063	C₂³×C₄	—	89	1	no	—
1064	C₂³×C₄	—	89	1	no	—
1065	C₂³×C₄	—	89	1	no	—
1066	C₂³×C₄	—	89	1	no	—
1067	C₂³×C₄	—	89	1	no	—
1068	C₂³×C₄	—	89	1	no	—
1069	C₂³×C₄	—	89	1	no	—
1070	C₂³×C₄	—	89	1	no	—
1071	C₂³×C₄	—	89	1	no	—
1072	C₂³×C₄	—	89	1	no	—
1073	C₂³×C₄	—	89	1	no	—
1074	C₂³×C₄	—	89	1	no	—
1075	C₂³×C₄	—	356	2	no	—
1076	C₂³×C₄	—	356	2	no	—
1077	C₂³×C₄	—	356	2	no	—
1078	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1079	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1081	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1082	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1083	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1084	#124	C₂×Dic₈₉	1	8	yes	complemented
1085	#123	C₂×Dic₈₉	1	8	yes	complemented
1086	#123	C₂×Dic₈₉	1	8	yes	complemented
1087	C₂²⋊Q₈	C₂×Dic₈₉	1	8	yes	complemented
1088	#121	C₂×Dic₈₉	1	8	yes	complemented
1089	#121	C₂×Dic₈₉	1	8	yes	complemented
1090	#121	C₂×Dic₈₉	1	8	yes	complemented
1091	#120	C₂×Dic₈₉	1	8	yes	complemented
1092	#120	C₂×Dic₈₉	1	8	yes	complemented
1093	C₄×D₄	—	356	2	no	—
1094	C₄×D₄	—	356	2	no	—
1095	C₄×D₄	—	356	2	no	—
1096	C₄×D₄	—	356	2	no	—
1097	C₄×D₄	—	356	2	no	—
1098	C₄×D₄	—	356	2	no	—
1099	C₄×D₄	—	356	2	no	—
1100	C₄×D₄	—	356	2	no	—
1101	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
1102	C₄×D₄	C₂×Dic₈₉	1	8	yes	complemented
1103	#117	—	356	2	no	—
1104	#117	—	356	2	no	—
1105	C₂×C₄⋊C₄	—	89	1	no	—
1106	C₂×C₄⋊C₄	—	89	1	no	—
1107	C₂×C₄⋊C₄	—	89	1	no	—
1108	C₂×C₄⋊C₄	—	89	1	no	—
1109	C₂×C₄⋊C₄	—	89	1	no	—
1110	C₂×C₄⋊C₄	—	89	1	no	—
1111	C₂×C₄⋊C₄	—	89	1	no	—
1112	C₂×C₄⋊C₄	—	89	1	no	—
1113	C₂×C₄⋊C₄	—	89	1	no	—
1114	C₂×C₄⋊C₄	—	89	1	no	—
1115	C₂×C₄⋊C₄	—	89	1	no	—
1116	C₂×C₄⋊C₄	—	89	1	no	—
1117	C₂×C₄⋊C₄	—	89	1	no	—
1118	C₂×C₄⋊C₄	—	89	1	no	—
1119	C₂×C₄⋊C₄	—	89	1	no	—
1120	C₂×C₄⋊C₄	—	89	1	no	—
1121	C₂×C₄⋊C₄	—	89	1	no	—
1122	C₂×C₄⋊C₄	—	89	1	no	—
1123	C₂×C₄⋊C₄	—	89	1	no	—
1124	C₂×C₄⋊C₄	—	89	1	no	—
1125	C₂×C₄⋊C₄	—	356	2	no	—
1126	C₂×C₄⋊C₄	—	356	2	no	—
1127	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1128	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1130	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	—	89	1	no	—
1132	C₂×C₂²⋊C₄	—	89	1	no	—
1133	C₂×C₂²⋊C₄	—	89	1	no	—
1134	C₂×C₂²⋊C₄	—	89	1	no	—
1135	C₂×C₂²⋊C₄	—	89	1	no	—
1136	C₂×C₂²⋊C₄	—	89	1	no	—
1137	C₂×C₂²⋊C₄	—	89	1	no	—
1138	C₂×C₂²⋊C₄	—	89	1	no	—
1139	C₂×C₂²⋊C₄	—	89	1	no	—
1140	C₂×C₂²⋊C₄	—	89	1	no	—
1141	C₂×C₂²⋊C₄	—	89	1	no	—
1142	C₂×C₂²⋊C₄	—	89	1	no	—
1143	C₂×C₂²⋊C₄	—	89	1	no	—
1144	C₂×C₂²⋊C₄	—	89	1	no	—
1145	C₂×C₂²⋊C₄	—	89	1	no	—
1146	C₂×C₂²⋊C₄	—	89	1	no	—
1147	C₂×C₂²⋊C₄	—	89	1	no	—
1148	C₂×C₂²⋊C₄	—	89	1	no	—
1149	C₂×C₂²⋊C₄	—	89	1	no	—
1150	C₂×C₂²⋊C₄	—	89	1	no	—
1151	C₂×C₂²⋊C₄	—	89	1	no	—
1152	C₂×C₂²⋊C₄	—	89	1	no	—
1153	C₂×C₂²⋊C₄	—	89	1	no	—
1154	C₂×C₂²⋊C₄	—	89	1	no	—
1155	C₂×C₂²⋊C₄	—	89	1	no	—
1156	C₂×C₂²⋊C₄	—	89	1	no	—
1157	C₂×C₂²⋊C₄	—	89	1	no	—
1158	C₂×C₂²⋊C₄	—	89	1	no	—
1159	C₂×C₂²⋊C₄	—	89	1	no	—
1160	C₂×C₂²⋊C₄	—	89	1	no	—
1161	C₂×C₂²⋊C₄	—	89	1	no	—
1162	C₂×C₂²⋊C₄	—	89	1	no	—
1163	C₂×C₂²⋊C₄	—	89	1	no	—
1164	C₂×C₂²⋊C₄	—	89	1	no	—
1165	C₂×C₂²⋊C₄	—	356	2	no	—
1166	C₂×C₂²⋊C₄	—	356	2	no	—
1167	C₂×C₂²⋊C₄	—	356	2	no	—
1168	C₂×C₂²⋊C₄	—	356	2	no	—
1169	C₂×C₂²⋊C₄	—	356	2	no	—
1170	C₂×C₂²⋊C₄	C₂×Dic₈₉	1	8	yes	complemented
1171	C₂×C₂²⋊C₄	C₂×Dic₈₉	1	8	yes	complemented
1172	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1184	C₂×C₄²	—	89	1	no	—
1185	C₂×C₄²	—	89	1	no	—
1186	C₂×C₄²	—	89	1	no	—
1187	C₂×C₄²	—	89	1	no	—
1188	C₂×C₄²	—	89	1	no	—
1189	C₂×C₄²	—	89	1	no	—
1190	C₂×C₄²	—	89	1	no	—
1191	C₂×C₄²	—	89	1	no	—
1192	C₂×C₄²	—	89	1	no	—
1193	C₂×C₄²	—	89	1	no	—
1194	C₂×C₄²	—	89	1	no	—
1195	C₂×C₄²	—	89	1	no	—
1196	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
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	#95	—	89	1	no	—
1204	#95	—	89	1	no	—
1205	#95	—	89	1	no	—
1206	#95	—	89	1	no	—
1207	#95	—	89	1	no	—
1208	#95	—	89	1	no	—
1209	#95	—	89	1	no	—
1210	#95	—	89	1	no	—
1211	#95	—	89	1	no	—
1212	#95	—	89	1	no	—
1213	#95	—	89	1	no	—
1214	#95	—	89	1	no	—
1215	#95	—	89	1	no	—
1216	#95	—	89	1	no	—
1217	#95	—	89	1	no	—
1218	#95	—	89	1	no	—
1219	#95	—	89	1	no	—
1220	#95	—	89	1	no	—
1221	#95	—	89	1	no	—
1222	#95	—	89	1	no	—
1223	#95	—	89	1	no	—
1224	#95	—	89	1	no	—
1225	#95	—	89	1	no	—
1226	#95	—	89	1	no	—
1227	#95	—	89	1	no	—
1228	#95	—	89	1	no	—
1229	#95	—	89	1	no	—
1230	#95	—	89	1	no	—
1231	#95	—	89	1	no	—
1232	#95	—	89	1	no	—
1233	#95	—	89	1	no	—
1234	#95	—	89	1	no	—
1235	#95	—	89	1	no	—
1236	#95	—	89	1	no	—
1237	C₂⁴	—	2	2	no	—
1238	C₂⁴	—	2	2	no	—
1239	C₂⁴	—	2	2	no	—
1240	C₂⁴	—	2	2	no	—
1241	C₂⁴	—	2	2	no	—
1242	C₂⁴	—	2	2	no	—
1243	C₂⁴	—	4	1	no	—
1244	C₂⁴	—	4	1	no	—
1245	C₂⁴	—	4	1	no	—
1246	C₂⁴	—	4	1	no	—
1247	C₂⁴	—	4	1	no	—
1248	C₂⁴	—	4	1	no	—
1249	C₂⁴	C₂²×Dic₈₉	1	4	yes	—
1250	C₂⁴	C₂²×Dic₈₉	1	4	yes	—
1251	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1252	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1253	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1254	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1255	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1256	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1257	#41	—	4	16	no	—
1258	C₂×Q₈	—	4	1	no	—
1259	C₂×Q₈	—	4	1	no	—
1260	C₂×Q₈	C₂²×Dic₈₉	1	4	yes	complemented
1261	C₂×D₄	—	2	2	no	—
1262	C₂×D₄	—	2	2	no	—
1263	C₂×D₄	—	2	2	no	—
1264	C₂×D₄	—	2	2	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	2	2	no	—
1267	C₂×D₄	—	2	2	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	4	1	no	—
1270	C₂×D₄	—	4	1	no	—
1271	C₂×D₄	—	4	1	no	—
1272	C₂×D₄	—	4	1	no	—
1273	C₂×D₄	—	4	1	no	—
1274	C₂×D₄	—	4	1	no	—
1275	C₂×D₄	—	4	1	no	—
1276	C₂×D₄	—	4	1	no	—
1277	C₂×D₄	—	4	1	no	—
1278	C₂×D₄	—	4	1	no	—
1279	C₂×D₄	—	4	16	no	—
1280	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1281	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1282	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1283	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1284	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1285	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1286	C₂×D₄	C₂²×Dic₈₉	1	4	yes	—
1287	C₂×D₄	C₂²×Dic₈₉	1	4	yes	complemented
1288	C₂×D₄	C₂²×Dic₈₉	1	4	yes	complemented
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	4	1	no	—
1292	C₂²×C₄	—	4	1	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	—	4	1	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	89	1	no	—
1302	C₂²×C₄	—	89	1	no	—
1303	C₂²×C₄	—	89	1	no	—
1304	C₂²×C₄	—	89	1	no	—
1305	C₂²×C₄	—	89	1	no	—
1306	C₂²×C₄	—	89	1	no	—
1307	C₂²×C₄	—	89	1	no	—
1308	C₂²×C₄	—	89	1	no	—
1309	C₂²×C₄	—	89	1	no	—
1310	C₂²×C₄	—	89	1	no	—
1311	C₂²×C₄	—	89	1	no	—
1312	C₂²×C₄	—	89	1	no	—
1313	C₂²×C₄	—	89	1	no	—
1314	C₂²×C₄	—	89	1	no	—
1315	C₂²×C₄	—	89	1	no	—
1316	C₂²×C₄	—	89	1	no	—
1317	C₂²×C₄	—	356	16	no	—
1318	C₂²×C₄	—	356	1	no	—
1319	C₂²×C₄	—	356	1	no	—
1320	C₂²×C₄	—	356	1	no	—
1321	C₂²×C₄	—	356	1	no	—
1322	C₂²×C₄	—	356	1	no	—
1323	C₂²×C₄	—	356	1	no	—
1324	C₂²×C₄	—	356	1	no	—
1325	C₂²×C₄	—	356	1	no	—
1326	C₂²×C₄	—	356	1	no	—
1327	C₂²×C₄	—	356	1	no	—
1328	C₂²×C₄	—	356	1	no	—
1329	C₂²×C₄	—	356	1	no	—
1330	C₂²×C₄	—	356	1	no	—
1331	C₂²×C₄	—	356	1	no	—
1332	C₂²×C₄	—	356	1	no	—
1333	C₂²×C₄	—	356	1	no	—
1334	C₂²×C₄	—	356	1	no	—
1335	C₂²×C₄	—	356	1	no	—
1336	C₂²×C₄	—	356	1	no	—
1337	C₂²×C₄	—	356	1	no	—
1338	C₂²×C₄	—	356	1	no	—
1339	C₂²×C₄	—	356	1	no	—
1340	C₂²×C₄	—	356	1	no	—
1341	C₂²×C₄	—	356	1	no	—
1342	C₂²×C₄	—	356	1	no	—
1343	C₂²×C₄	—	356	1	no	—
1344	C₂²×C₄	—	356	1	no	—
1345	C₂²×C₄	—	356	1	no	—
1346	C₂²×C₄	—	356	1	no	—
1347	C₂²×C₄	—	356	1	no	—
1348	C₂²×C₄	—	178	2	no	—
1349	C₂²×C₄	—	178	2	no	—
1350	C₂²×C₄	—	178	2	no	—
1351	C₂²×C₄	—	178	2	no	—
1352	C₂²×C₄	—	178	2	no	—
1353	C₂²×C₄	—	178	2	no	—
1354	C₂²×C₄	—	178	2	no	—
1355	C₂²×C₄	—	178	2	no	—
1356	C₂²×C₄	—	178	2	no	—
1357	C₂²×C₄	—	178	2	no	—
1358	C₂²×C₄	—	178	2	no	—
1359	C₂²×C₄	—	178	2	no	—
1360	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1361	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1362	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	—
1363	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	complemented
1364	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	complemented
1365	C₂²×C₄	C₂²×Dic₈₉	1	4	yes	complemented
1366	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1367	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1368	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1369	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1370	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1375	C₄⋊C₄	—	356	1	no	—
1376	C₄⋊C₄	—	356	1	no	—
1377	C₄⋊C₄	—	356	1	no	—
1378	C₄⋊C₄	—	356	1	no	—
1379	C₄⋊C₄	—	356	1	no	—
1380	C₄⋊C₄	—	356	1	no	—
1381	C₄⋊C₄	—	356	1	no	—
1382	C₄⋊C₄	—	356	1	no	—
1383	C₄⋊C₄	—	356	1	no	—
1384	C₄⋊C₄	—	356	1	no	—
1385	C₄⋊C₄	—	356	1	no	—
1386	C₄⋊C₄	—	356	1	no	—
1387	C₄⋊C₄	—	356	1	no	—
1388	C₄⋊C₄	—	356	1	no	—
1389	C₄⋊C₄	—	356	1	no	—
1390	C₄⋊C₄	—	356	1	no	—
1391	C₄⋊C₄	—	356	1	no	—
1392	C₄⋊C₄	—	356	1	no	—
1393	C₄⋊C₄	—	178	2	no	—
1394	C₄⋊C₄	—	178	2	no	—
1395	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1396	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1397	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1398	C₄⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1399	C₂²⋊C₄	—	356	1	no	—
1400	C₂²⋊C₄	—	356	1	no	—
1401	C₂²⋊C₄	—	356	1	no	—
1402	C₂²⋊C₄	—	356	1	no	—
1403	C₂²⋊C₄	—	356	1	no	—
1404	C₂²⋊C₄	—	356	1	no	—
1405	C₂²⋊C₄	—	356	1	no	—
1406	C₂²⋊C₄	—	356	1	no	—
1407	C₂²⋊C₄	—	356	1	no	—
1408	C₂²⋊C₄	—	356	1	no	—
1409	C₂²⋊C₄	—	356	1	no	—
1410	C₂²⋊C₄	—	356	1	no	—
1411	C₂²⋊C₄	—	356	1	no	—
1412	C₂²⋊C₄	—	356	1	no	—
1413	C₂²⋊C₄	—	356	1	no	—
1414	C₂²⋊C₄	—	356	1	no	—
1415	C₂²⋊C₄	—	356	1	no	—
1416	C₂²⋊C₄	—	356	1	no	—
1417	C₂²⋊C₄	—	356	1	no	—
1418	C₂²⋊C₄	—	356	1	no	—
1419	C₂²⋊C₄	—	356	1	no	—
1420	C₂²⋊C₄	—	356	1	no	—
1421	C₂²⋊C₄	—	356	1	no	—
1422	C₂²⋊C₄	—	356	1	no	—
1423	C₂²⋊C₄	—	178	2	no	—
1424	C₂²⋊C₄	—	178	2	no	—
1425	C₂²⋊C₄	—	178	2	no	—
1426	C₂²⋊C₄	—	178	2	no	—
1427	C₂²⋊C₄	—	178	2	no	—
1428	C₂²⋊C₄	—	178	2	no	—
1429	C₂²⋊C₄	—	178	2	no	—
1430	C₂²⋊C₄	—	178	2	no	—
1431	C₂²⋊C₄	—	178	2	no	—
1432	C₂²⋊C₄	—	178	2	no	—
1433	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1434	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1435	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1436	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1437	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1438	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1439	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	—
1440	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1441	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1442	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1443	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1444	C₂²⋊C₄	C₂²×Dic₈₉	1	4	yes	complemented
1445	C₄²	—	356	1	no	—
1446	C₄²	—	356	1	no	—
1447	C₄²	—	356	1	no	—
1448	C₄²	—	356	1	no	—
1449	C₄²	—	356	1	no	—
1450	C₄²	—	356	1	no	—
1451	C₄²	—	356	1	no	—
1452	C₄²	—	356	1	no	—
1453	C₄²	—	356	1	no	—
1454	C₄²	—	356	1	no	—
1455	C₄²	—	356	1	no	—
1456	C₄²	—	178	2	no	—
1457	C₄²	C₂²×Dic₈₉	1	4	yes	complemented
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	8	no	—
1491	C₂³	—	2	8	no	—
1492	C₂³	—	2	8	no	—
1493	C₂³	—	4	4	no	—
1494	C₂³	—	4	4	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	4	4	no	—
1497	C₂³	—	4	4	no	—
1498	C₂³	—	4	4	no	—
1499	C₂³	—	4	4	no	—
1500	C₂³	—	8	2	no	—
1501	C₂³	—	8	2	no	—
1502	C₂³	—	8	2	no	—
1503	C₂³	—	8	2	no	—
1504	C₂³	C₂³×Dic₈₉	1	2	yes	—
1505	C₂³	C₂³×Dic₈₉	1	2	yes	—
1506	C₂³	C₂³×Dic₈₉	1	2	yes	—
1507	C₂³	C₂³×Dic₈₉	1	2	yes	—
1508	C₂³	C₂³×Dic₈₉	1	2	yes	—
1509	C₂³	C₂³×Dic₈₉	1	2	yes	—
1510	C₂³	#15668057	1	2	yes	—
1511	C₂³	#15668057	1	2	yes	—
1512	C₂³	#15668058	1	2	yes	—
1513	C₂³	#15668059	1	2	yes	—
1514	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1515	Q₈	—	4	4	no	—
1516	D₄	—	2	8	no	—
1517	D₄	—	2	8	no	—
1518	D₄	—	2	8	no	—
1519	D₄	—	2	8	no	—
1520	D₄	—	4	4	no	—
1521	D₄	—	4	4	no	—
1522	D₄	—	4	4	no	—
1523	D₄	—	4	4	no	—
1524	D₄	—	4	4	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	8	no	—
1544	C₂×C₄	—	4	4	no	—
1545	C₂×C₄	—	4	4	no	—
1546	C₂×C₄	—	4	4	no	—
1547	C₂×C₄	—	4	4	no	—
1548	C₂×C₄	—	4	4	no	—
1549	C₂×C₄	—	89	2	no	—
1550	C₂×C₄	—	356	4	no	—
1551	C₂×C₄	—	356	4	no	—
1552	C₂×C₄	—	356	4	no	—
1553	C₂×C₄	—	356	4	no	—
1554	C₂×C₄	—	356	4	no	—
1555	C₂×C₄	—	356	4	no	—
1556	C₂×C₄	—	178	1	no	—
1557	C₂×C₄	—	178	1	no	—
1558	C₂×C₄	—	178	1	no	—
1559	C₂×C₄	—	178	1	no	—
1560	C₂×C₄	—	178	1	no	—
1561	C₂×C₄	—	178	1	no	—
1562	C₂×C₄	—	178	1	no	—
1563	C₂×C₄	—	178	1	no	—
1564	C₂×C₄	—	178	1	no	—
1565	C₂×C₄	—	178	1	no	—
1566	C₂×C₄	—	178	1	no	—
1567	C₂×C₄	—	178	1	no	—
1568	C₂×C₄	—	178	1	no	—
1569	C₂×C₄	—	178	1	no	—
1570	C₂×C₄	—	178	1	no	—
1571	C₂×C₄	—	178	1	no	—
1572	C₂×C₄	—	178	1	no	—
1573	C₂×C₄	—	178	1	no	—
1574	C₂×C₄	—	178	1	no	—
1575	C₂×C₄	—	178	1	no	—
1576	C₂×C₄	—	178	1	no	—
1577	C₂×C₄	—	178	1	no	—
1578	C₂×C₄	—	178	1	no	—
1579	C₂×C₄	—	178	1	no	—
1580	C₂×C₄	—	178	1	no	—
1581	C₂×C₄	—	178	1	no	—
1582	C₂×C₄	—	178	1	no	—
1583	C₂×C₄	—	178	1	no	—
1584	C₂×C₄	—	178	1	no	—
1585	C₂×C₄	—	178	1	no	—
1586	C₂×C₄	—	178	1	no	—
1587	C₂×C₄	—	178	1	no	—
1588	C₂×C₄	—	178	1	no	—
1589	C₂×C₄	—	178	1	no	—
1590	C₂×C₄	—	178	1	no	—
1591	C₂×C₄	—	178	1	no	—
1592	C₂×C₄	—	178	1	no	—
1593	C₂×C₄	—	178	1	no	—
1594	C₂×C₄	—	178	1	no	—
1595	C₂×C₄	—	178	1	no	—
1596	C₂×C₄	—	178	1	no	—
1597	C₂×C₄	—	178	1	no	—
1598	C₂×C₄	—	178	1	no	—
1599	C₂×C₄	—	178	1	no	—
1600	C₂×C₄	—	178	1	no	—
1601	C₂×C₄	—	178	1	no	—
1602	C₂×C₄	—	178	1	no	—
1603	C₂×C₄	—	712	2	no	—
1604	C₂×C₄	—	712	2	no	—
1605	C₂×C₄	—	712	2	no	—
1606	C₂×C₄	—	712	2	no	—
1607	C₂×C₄	—	712	2	no	—
1608	C₂×C₄	—	712	2	no	—
1609	C₂×C₄	—	712	2	no	—
1610	C₂×C₄	—	712	2	no	—
1611	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1612	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1613	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1614	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1615	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1616	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1617	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1618	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1619	C₂×C₄	C₂³×Dic₈₉	1	2	yes	—
1620	C₂²	—	2	2	no	—
1621	C₂²	—	2	2	no	—
1622	C₂²	—	2	2	no	—
1623	C₂²	—	2	2	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	4	16	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	8	8	no	—
1662	C₂²	#19152073	1	4	yes	—
1663	C₂²	#19152081	1	4	yes	—
1664	C₂²	C₂⁴×Dic₈₉	1	1	yes	characteristic
1665	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1666	C₂²	C₂×#15668057	1	1	yes	characteristic
1667	C₂²	C₂×#15668057	1	1	yes	characteristic
1668	C₂²	C₂×#15668058	1	1	yes	characteristic
1669	C₂²	C₂×#15668059	1	1	yes	characteristic
1670	C₂²	#19152433	1	1	yes	characteristic
1671	C₄	—	2	2	no	—
1672	C₄	—	2	2	no	—
1673	C₄	—	2	2	no	—
1674	C₄	—	2	2	no	—
1675	C₄	—	2	2	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	2	no	—
1679	C₄	—	2	2	no	—
1680	C₄	—	356	1	no	—
1681	C₄	—	356	1	no	—
1682	C₄	—	356	1	no	—
1683	C₄	—	356	1	no	—
1684	C₄	—	356	1	no	—
1685	C₄	—	356	1	no	—
1686	C₄	—	356	1	no	—
1687	C₄	—	356	1	no	—
1688	C₄	—	356	1	no	—
1689	C₄	—	356	1	no	—
1690	C₄	—	356	1	no	—
1691	C₄	—	356	1	no	—
1692	C₄	—	356	1	no	—
1693	C₄	—	356	1	no	—
1694	C₄	—	356	1	no	—
1695	C₄	—	178	2	no	—
1696	C₂	—	2	4	no	—
1697	C₂	—	2	4	no	—
1698	C₂	—	4	2	no	—
1699	C₂	—	4	2	no	—
1700	C₂	—	4	2	no	—
1701	C₂	—	4	2	no	—
1702	C₂	C₂×#19152073	1	1	yes	characteristic
1703	C₂	C₂×#19152081	1	1	yes	characteristic
1704	C₂	H(5,𝔽₂)×Dic₈₉	1	1	yes	characteristic
1705	C₂	#26034401	1	1	yes	characteristic
1706	C₂	#26034438	1	1	yes	characteristic
1707	C₂	#26034449	1	1	yes	characteristic
1708	C₂	#26034467	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting, prime radical	C₂×#546×C₈₉	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
hypercenter	C₂×#546	D₈₉
hypocenter	C₈₉	#34456
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #26023426	C₂	semidirect
2. #26023409	C₂	semidirect
3. #26023409	C₂	semidirect
4. #26023400	C₂	semidirect
5. #26023337	C₂	semidirect
6. #26023272	C₂	semidirect
7. #26023248	C₂	semidirect
8. #26023236	C₂	semidirect
9. #26023236	C₂	semidirect
10. #26023181	C₂	semidirect
11. #26023162	C₂	semidirect
12. #26023101	C₂	semidirect
13. #26023101	C₂	semidirect
14. #26023082	C₂	semidirect
15. D₄×C₂²⋊Dic₈₉	C₂	semidirect
16. #26023067	C₂	semidirect
17. #26023046	C₂	semidirect
18. #26022987	C₂	semidirect
19. #26022957	C₂	semidirect
20. #26022957	C₂	semidirect
21. #26022947	C₂	semidirect
22. #26022924	C₂	semidirect
23. #26022913	C₂	semidirect
24. #26022885	C₂	semidirect
25. #26022885	C₂	semidirect
26. #26022866	C₂	semidirect
27. #26022844	C₂	semidirect
28. #120×Dic₈₉	C₂	semidirect
29. C₂×#19151478	C₂	semidirect
30. C₂×#19151473	C₂	semidirect
37. C₂×D₄×Dic₈₉	C₂²	semidirect
38. C₂×D₄×Dic₈₉	C₂²	semidirect
39. C₂×D₄×Dic₈₉	C₂²	semidirect
40. C₂×D₄×Dic₈₉	C₂²	semidirect
41. C₂×#15667971	C₂²	semidirect
42. C₂×#15667971	C₂²	semidirect
43. C₂²×C₄⋊Dic₈₉	C₂²	semidirect
44. C₂²×C₄⋊Dic₈₉	C₂²	semidirect
50. #19151505	C₂²	semidirect
51. #19151505	C₂²	semidirect
52. #19151505	C₂²	semidirect
53. #19151505	C₂²	semidirect
56. #19151501	C₂²	semidirect
57. #19151501	C₂²	semidirect
58. #19151501	C₂²	semidirect
59. #19151501	C₂²	semidirect
60. #19151497	C₂²	semidirect
61. #19151497	C₂²	semidirect
62. #19151497	C₂²	semidirect
63. #19151497	C₂²	semidirect
64. #19151491	C₂²	semidirect
65. #19151491	C₂²	semidirect
66. #19151491	C₂²	semidirect
67. #19151491	C₂²	semidirect
68. #19151491	C₂²	semidirect
69. #19151491	C₂²	semidirect
70. #19151491	C₂²	semidirect
71. #19151491	C₂²	semidirect
72. #19151491	C₂²	semidirect
73. #19151491	C₂²	semidirect
74. #19151491	C₂²	semidirect
75. #19151491	C₂²	semidirect
76. #19151491	C₂²	semidirect
77. #19151491	C₂²	semidirect
78. #19151491	C₂²	semidirect
79. #19151491	C₂²	semidirect
80. #19151491	C₂²	semidirect
81. #19151491	C₂²	semidirect
82. #19151484	C₂²	semidirect
83. #19151484	C₂²	semidirect
84. #19151484	C₂²	semidirect
85. #19151484	C₂²	semidirect
86. #19151484	C₂²	semidirect
87. #19151484	C₂²	semidirect
88. #19151484	C₂²	semidirect
89. #19151484	C₂²	semidirect
90. #19151484	C₂²	semidirect
91. #19151484	C₂²	semidirect
106. #19151478	C₂²	semidirect
107. #19151478	C₂²	semidirect
108. #19151478	C₂²	semidirect
109. #19151478	C₂²	semidirect
110. #19151478	C₂²	semidirect
111. #19151478	C₂²	semidirect
112. #19151478	C₂²	semidirect
113. #19151478	C₂²	semidirect
122. #19151473	C₂²	semidirect
123. #19151473	C₂²	semidirect
124. #19151473	C₂²	semidirect
125. #19151473	C₂²	semidirect
126. #19151473	C₂²	semidirect
127. #19151473	C₂²	semidirect
128. #19151473	C₂²	semidirect
129. #19151473	C₂²	semidirect
130. #19151473	C₂²	semidirect
131. #19151473	C₂²	semidirect
132. #19151473	C₂²	semidirect
133. #19151473	C₂²	semidirect
134. #19151473	C₂²	semidirect
135. #19151473	C₂²	semidirect
136. #19151466	C₂²	semidirect
137. #19151464	C₂²	semidirect
138. #19151464	C₂²	semidirect
139. #19151461	C₂²	semidirect
140. #19151461	C₂²	semidirect
141. #19151461	C₂²	semidirect
143. #19151458	C₂²	semidirect
144. #19151458	C₂²	semidirect
145. #19151458	C₂²	semidirect
146. #19151458	C₂²	semidirect
147. #19151458	C₂²	semidirect
148. #19151458	C₂²	semidirect
149. #19151458	C₂²	semidirect
150. #19151458	C₂²	semidirect
153. C₄⋊C₄×Dic₈₉	C₂²	semidirect
154. C₄⋊C₄×Dic₈₉	C₂²	semidirect
155. C₄×C₄⋊Dic₈₉	C₂²	semidirect
160. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
161. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
162. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
163. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
165. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
166. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
169. C₂×#15667919	C₂²	semidirect
170. C₂×#15667919	C₂²	semidirect
171. C₂×#15667919	C₂²	semidirect
174. #546×C₈₉	C₄	semidirect
332. C₂×#41×C₈₉	C₂×C₄	semidirect
336. C₂²×D₄×C₈₉	C₂×C₄	semidirect
352. #124×C₈₉	C₂×C₄	semidirect
353. #123×C₈₉	C₂×C₄	semidirect
354. #123×C₈₉	C₂×C₄	semidirect
355. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
356. #121×C₈₉	C₂×C₄	semidirect
357. #121×C₈₉	C₂×C₄	semidirect
358. #121×C₈₉	C₂×C₄	semidirect
359. #120×C₈₉	C₂×C₄	semidirect
360. #120×C₈₉	C₂×C₄	semidirect
361. C₄×D₄×C₈₉	C₂×C₄	semidirect
362. C₄×D₄×C₈₉	C₂×C₄	semidirect
367. C₂×C₂²⋊C₄×C₈₉	C₂×C₄	semidirect
368. C₂×C₂²⋊C₄×C₈₉	C₂×C₄	semidirect
530. C₂×Q₈×C₈₉	C₂²×C₄	semidirect
557. C₂×D₄×C₈₉	C₂²×C₄	semidirect
558. C₂×D₄×C₈₉	C₂²×C₄	semidirect
574. C₂²×C₄×C₈₉	C₂²×C₄	semidirect
575. C₂²×C₄×C₈₉	C₂²×C₄	semidirect
576. C₂²×C₄×C₈₉	C₂²×C₄	semidirect
586. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
587. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
588. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
589. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
597. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
598. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
599. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
600. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
601. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
602. C₄²×C₈₉	C₂²×C₄	semidirect
886. C₈₉	#34456	semidirect
890. #546	Dic₈₉	semidirect
1047. C₂×#41	C₂×Dic₈₉	semidirect
1051. C₂²×D₄	C₂×Dic₈₉	semidirect
1084. #124	C₂×Dic₈₉	semidirect
1085. #123	C₂×Dic₈₉	semidirect
1086. #123	C₂×Dic₈₉	semidirect
1087. C₂²⋊Q₈	C₂×Dic₈₉	semidirect
1088. #121	C₂×Dic₈₉	semidirect
1089. #121	C₂×Dic₈₉	semidirect
1090. #121	C₂×Dic₈₉	semidirect
1091. #120	C₂×Dic₈₉	semidirect
1092. #120	C₂×Dic₈₉	semidirect
1101. C₄×D₄	C₂×Dic₈₉	semidirect
1102. C₄×D₄	C₂×Dic₈₉	semidirect
1170. C₂×C₂²⋊C₄	C₂×Dic₈₉	semidirect
1171. C₂×C₂²⋊C₄	C₂×Dic₈₉	semidirect
1260. C₂×Q₈	C₂²×Dic₈₉	semidirect
1287. C₂×D₄	C₂²×Dic₈₉	semidirect
1288. C₂×D₄	C₂²×Dic₈₉	semidirect
1363. C₂²×C₄	C₂²×Dic₈₉	semidirect
1364. C₂²×C₄	C₂²×Dic₈₉	semidirect
1365. C₂²×C₄	C₂²×Dic₈₉	semidirect
1395. C₄⋊C₄	C₂²×Dic₈₉	semidirect
1396. C₄⋊C₄	C₂²×Dic₈₉	semidirect
1397. C₄⋊C₄	C₂²×Dic₈₉	semidirect
1398. C₄⋊C₄	C₂²×Dic₈₉	semidirect
1440. C₂²⋊C₄	C₂²×Dic₈₉	semidirect
1441. C₂²⋊C₄	C₂²×Dic₈₉	semidirect
1442. C₂²⋊C₄	C₂²×Dic₈₉	semidirect
1443. C₂²⋊C₄	C₂²×Dic₈₉	semidirect
1444. C₂²⋊C₄	C₂²×Dic₈₉	semidirect
1457. C₄²	C₂²×Dic₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26023426	2
#26023409	2
#26023400	2
#26023337	2
#26023272	2
#26023248	2
#26023236	2
#26023181	2
#26023162	2
#26023101	2
#26023082	2
D₄×C₂²⋊Dic₈₉	2
#26023067	2
#26023046	2
#26022987	2
#26022957	2
#26022947	2
#26022924	2
#26022913	2
#26022885	2
#26022866	2
#26022844	2
#120×Dic₈₉	2
C₂×#19151478	2
C₂×#19151473	2
C₂×#546×C₈₉	2
#34456	89