Subgroups — #36768700

Order 22784.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028643	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028616	C₂	1	1	yes	maximal, characteristic, complemented
3	#26028191	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028156	C₂	1	1	yes	maximal, characteristic, complemented
5	#26028149	C₂	1	1	yes	maximal, characteristic, complemented
6	#26028085	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027434	C₂	1	1	yes	maximal, characteristic, complemented
8	#26027343	C₂	1	1	yes	maximal, characteristic, complemented
9	#26027289	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027199	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027187	C₂	1	1	yes	maximal, characteristic, complemented
12	#26027098	C₂	1	1	yes	maximal, characteristic, complemented
13	#26027003	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026932	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026767	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026639	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026639	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026248	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026241	C₂	1	1	yes	maximal, characteristic, complemented
20	#26025857	C₂	1	1	yes	maximal, characteristic, complemented
21	#26025761	C₂	1	1	yes	maximal, characteristic, complemented
22	#26025362	C₂	1	1	yes	maximal, characteristic, complemented
23	#26025139	C₂	1	1	yes	maximal, characteristic, complemented
24	#26024484	C₂	1	1	yes	maximal, characteristic, complemented
25	#26024434	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023960	C₂	1	1	yes	maximal, characteristic, complemented
27	#26023633	C₂	1	1	yes	maximal, characteristic, complemented
28	#26023043	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022848	C₂	1	1	yes	maximal, characteristic, complemented
30	#26022714	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2678	C₂	1	1	yes	maximal, characteristic
32	C₂×#15668005	C₂²	1	1	yes	characteristic
33	C₂×#15668005	C₂²	1	1	yes	characteristic
34	C₂×#15668005	C₂²	1	1	yes	characteristic, complemented
35	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
36	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
37	C₂×#15667993	C₂²	1	1	yes	characteristic
38	C₂×#15667993	C₂²	1	1	yes	characteristic
39	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
40	C₂×#15667968	C₂²	1	1	yes	characteristic
41	C₂×#15667968	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
43	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
44	#19151540	C₂²	1	1	yes	characteristic, complemented
45	#19151539	C₂²	1	1	yes	characteristic, complemented
46	#19151537	C₂²	1	1	yes	characteristic, complemented
47	#19151536	C₂²	1	1	yes	characteristic, complemented
48	#19151534	C₂²	1	1	yes	characteristic
49	#19151534	C₂²	1	1	yes	characteristic
50	#19151534	C₂²	1	1	yes	characteristic
51	#19151534	C₂²	1	1	yes	characteristic, complemented
52	#19151534	C₂²	1	1	yes	characteristic, complemented
53	#19151532	C₂²	1	1	yes	characteristic, complemented
54	#19151531	C₂²	1	1	yes	characteristic, complemented
55	#19151529	C₂²	1	1	yes	characteristic, complemented
56	#19151526	C₂²	1	1	yes	characteristic
57	#19151526	C₂²	1	1	yes	characteristic
58	#19151526	C₂²	1	1	yes	characteristic, complemented
59	#19151526	C₂²	1	1	yes	characteristic, complemented
60	#19151523	C₂²	1	1	yes	characteristic
61	#19151521	C₂²	1	1	yes	characteristic
62	#19151521	C₂²	1	1	yes	characteristic
63	#19151521	C₂²	1	1	yes	characteristic
64	#19151521	C₂²	1	1	yes	characteristic
65	#19151521	C₂²	1	1	yes	characteristic
66	#19151521	C₂²	1	1	yes	characteristic
67	#19151521	C₂²	1	1	yes	characteristic
68	#19151521	C₂²	1	1	yes	characteristic
69	#19151521	C₂²	1	1	yes	characteristic, complemented
70	#19151521	C₂²	1	1	yes	characteristic, complemented
71	#19151512	C₂²	1	1	yes	characteristic
72	#19151512	C₂²	1	1	yes	characteristic
73	#19151512	C₂²	1	1	yes	characteristic
74	#19151512	C₂²	1	1	yes	characteristic
75	#19151512	C₂²	1	1	yes	characteristic
76	#19151512	C₂²	1	1	yes	characteristic
77	#19151512	C₂²	1	1	yes	characteristic
78	#19151512	C₂²	1	1	yes	characteristic
79	#19151512	C₂²	1	1	yes	characteristic
80	#19151512	C₂²	1	1	yes	characteristic
81	#19151512	C₂²	1	1	yes	characteristic
82	#19151512	C₂²	1	1	yes	characteristic
83	#19151512	C₂²	1	1	yes	characteristic, complemented
84	#19151512	C₂²	1	1	yes	characteristic, complemented
85	#19151501	C₂²	1	1	yes	characteristic
86	#19151501	C₂²	1	1	yes	characteristic
87	#19151501	C₂²	1	1	yes	characteristic
88	#19151501	C₂²	1	1	yes	characteristic
89	#19151501	C₂²	1	1	yes	characteristic
90	#19151501	C₂²	1	1	yes	characteristic
91	#19151501	C₂²	1	1	yes	characteristic, complemented
92	#19151497	C₂²	1	1	yes	characteristic, complemented
93	#19151496	C₂²	1	1	yes	characteristic, complemented
94	#19151496	C₂²	1	1	yes	characteristic, complemented
95	#19151495	C₂²	1	1	yes	characteristic, complemented
96	#19151495	C₂²	1	1	yes	characteristic, complemented
97	#19151495	C₂²	1	1	yes	characteristic, complemented
98	#19151495	C₂²	1	1	yes	characteristic, complemented
99	#19151494	C₂²	1	1	yes	characteristic, complemented
100	#19151494	C₂²	1	1	yes	characteristic, complemented
101	#19151493	C₂²	1	1	yes	characteristic, complemented
102	#19151493	C₂²	1	1	yes	characteristic, complemented
103	#19151492	C₂²	1	1	yes	characteristic
104	#19151492	C₂²	1	1	yes	characteristic
105	#19151492	C₂²	1	1	yes	characteristic
106	#19151492	C₂²	1	1	yes	characteristic
107	#19151492	C₂²	1	1	yes	characteristic
108	#19151492	C₂²	1	1	yes	characteristic
109	#19151492	C₂²	1	1	yes	characteristic
110	#19151492	C₂²	1	1	yes	characteristic
111	#19151492	C₂²	1	1	yes	characteristic
112	#19151492	C₂²	1	1	yes	characteristic
113	#19151492	C₂²	1	1	yes	characteristic, complemented
114	#19151492	C₂²	1	1	yes	characteristic, complemented
115	#19151492	C₂²	1	1	yes	characteristic, complemented
116	#19151491	C₂²	1	1	yes	characteristic
117	#19151491	C₂²	1	1	yes	characteristic
118	#19151491	C₂²	1	1	yes	characteristic
119	#19151491	C₂²	1	1	yes	characteristic
120	#19151491	C₂²	1	1	yes	characteristic, complemented
121	#19151491	C₂²	1	1	yes	characteristic, complemented
122	#19151491	C₂²	1	1	yes	characteristic, complemented
123	#19151491	C₂²	1	1	yes	characteristic, complemented
124	#19151486	C₂²	1	1	yes	characteristic
125	#19151486	C₂²	1	1	yes	characteristic
126	#19151486	C₂²	1	1	yes	characteristic
127	#19151486	C₂²	1	1	yes	characteristic
128	#19151486	C₂²	1	1	yes	characteristic
129	#19151486	C₂²	1	1	yes	characteristic
130	#19151486	C₂²	1	1	yes	characteristic
131	#19151486	C₂²	1	1	yes	characteristic
132	#19151486	C₂²	1	1	yes	characteristic
133	#19151486	C₂²	1	1	yes	characteristic
134	#19151486	C₂²	1	1	yes	characteristic, complemented
135	#19151486	C₂²	1	1	yes	characteristic, complemented
136	#19151486	C₂²	1	1	yes	characteristic, complemented
137	#19151485	C₂²	1	1	yes	characteristic, complemented
138	#19151485	C₂²	1	1	yes	characteristic, complemented
139	#19151484	C₂²	1	1	yes	characteristic, complemented
140	#19151483	C₂²	1	1	yes	characteristic, complemented
141	#19151482	C₂²	1	1	yes	characteristic, complemented
142	#19151481	C₂²	1	1	yes	characteristic, complemented
143	#19151480	C₂²	1	1	yes	characteristic, complemented
144	#19151480	C₂²	1	1	yes	characteristic, complemented
145	#19151480	C₂²	1	1	yes	characteristic, complemented
146	#19151479	C₂²	1	1	yes	characteristic, complemented
147	#19151479	C₂²	1	1	yes	characteristic, complemented
148	#19151478	C₂²	1	1	yes	characteristic
149	#19151478	C₂²	1	1	yes	characteristic
150	#19151478	C₂²	1	1	yes	characteristic
151	#19151478	C₂²	1	1	yes	characteristic, complemented
152	#19151473	C₂²	1	1	yes	characteristic
153	#19151471	C₂²	1	1	yes	characteristic, complemented
154	#19151471	C₂²	1	1	yes	characteristic, complemented
155	#19151471	C₂²	1	1	yes	characteristic, complemented
156	#19151470	C₂²	1	1	yes	characteristic, complemented
157	#19151467	C₂²	1	1	yes	characteristic, complemented
158	#19151459	C₂²	1	1	yes	characteristic
159	#19151456	C₂²	1	1	yes	characteristic
160	#19151456	C₂²	1	1	yes	characteristic
161	#19151456	C₂²	1	1	yes	characteristic
162	#19151454	C₂²	1	1	yes	characteristic
163	#19151454	C₂²	1	1	yes	characteristic
164	#19151454	C₂²	1	1	yes	characteristic
165	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
166	#19151449	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
171	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
173	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
176	#397×C₈₉	C₂²	1	1	yes	characteristic
177	#396×C₈₉	C₂²	1	1	yes	characteristic
178	#394×C₈₉	C₂²	1	1	yes	characteristic
179	#394×C₈₉	C₂²	1	1	yes	characteristic
180	#392×C₈₉	C₂²	1	1	yes	characteristic
181	#392×C₈₉	C₂²	1	1	yes	characteristic
182	#390×C₈₉	C₂²	1	1	yes	characteristic
183	#390×C₈₉	C₂²	1	1	yes	characteristic
184	#388×C₈₉	C₂²	1	1	yes	characteristic
185	#386×C₈₉	C₂²	1	1	yes	characteristic
186	#379×C₈₉	C₂²	1	1	yes	characteristic
187	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
188	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
189	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
190	#15668005	—	4	2	no	—
191	#15668005	—	4	2	no	—
192	#15668005	—	4	2	no	—
193	#15668002	—	4	2	no	—
194	#15668002	—	4	2	no	—
195	#15667993	—	2	4	no	—
196	#15667993	—	4	2	no	—
197	D₄×Dic₈₉	—	2	4	no	—
198	#15667968	—	4	2	no	—
199	#15667968	—	4	2	no	—
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×#13083553	C₂³	1	1	yes	characteristic
210	C₂×#13083553	C₂³	1	1	yes	characteristic
211	C₂×#13083553	C₂³	1	1	yes	characteristic
212	C₂×#13083553	C₂³	1	1	yes	characteristic
213	C₂×#13083553	C₂³	1	1	yes	characteristic
214	C₂×#13083553	C₂³	1	1	yes	characteristic
215	C₂×#13083553	C₂³	1	1	yes	characteristic
216	C₂×#13083553	C₂³	1	1	yes	characteristic
217	C₂×#13083553	C₂³	1	1	yes	characteristic
218	C₂×#13083553	C₂³	1	1	yes	characteristic
219	C₂×#13083553	C₂³	1	1	yes	characteristic
220	C₂×#13083553	C₂³	1	1	yes	characteristic
221	C₂×#13083553	C₂³	1	1	yes	characteristic
222	C₂×#13083553	C₂³	1	1	yes	characteristic
223	C₂×#13083553	C₂³	1	1	yes	characteristic
224	C₂×#13083553	C₂³	1	1	yes	characteristic
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₈₉	—	2	4	no	—
234	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#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	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
327	#123×C₈₉	—	4	2	no	—
328	#121×C₈₉	—	4	2	no	—
329	#120×C₈₉	—	4	2	no	—
330	#120×C₈₉	—	4	2	no	—
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	C₂²×Dic₈₉	—	2	2	no	—
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	—	4	1	no	—
365	C₂²×Dic₈₉	#41	1	4	yes	—
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	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
382	C₄⋊Dic₈₉	—	2	2	no	—
383	C₄⋊Dic₈₉	—	2	2	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	#13083553	—	2	2	no	—
392	#13083553	—	2	2	no	—
393	#13083553	—	2	2	no	—
394	#13083553	—	2	2	no	—
395	#13083553	—	2	2	no	—
396	#13083553	—	2	2	no	—
397	#13083553	—	2	2	no	—
398	#13083553	—	4	1	no	—
399	#13083553	—	4	1	no	—
400	#13083553	—	4	1	no	—
401	#13083553	—	4	1	no	—
402	#13083553	—	4	1	no	—
403	#13083553	—	4	1	no	—
404	#13083553	—	4	1	no	—
405	#13083553	—	4	1	no	—
406	#13083553	—	4	1	no	—
407	#13083553	—	4	1	no	—
408	#13083553	—	4	1	no	—
409	#13083553	—	4	1	no	—
410	#13083553	—	4	1	no	—
411	#13083553	—	4	1	no	—
412	#13083553	—	4	1	no	—
413	#13083553	—	4	1	no	—
414	#13083553	—	4	1	no	—
415	C₂²⋊Dic₈₉	—	2	2	no	—
416	C₂²⋊Dic₈₉	—	2	2	no	—
417	C₂²⋊Dic₈₉	—	2	2	no	—
418	C₂²⋊Dic₈₉	—	2	2	no	—
419	C₂²⋊Dic₈₉	—	2	2	no	—
420	C₂²⋊Dic₈₉	—	2	2	no	—
421	C₂²⋊Dic₈₉	—	2	2	no	—
422	C₂²⋊Dic₈₉	—	2	2	no	—
423	C₂²⋊Dic₈₉	—	2	2	no	—
424	C₂²⋊Dic₈₉	—	4	1	no	—
425	C₂²⋊Dic₈₉	—	4	1	no	—
426	C₂²⋊Dic₈₉	—	4	1	no	—
427	C₂²⋊Dic₈₉	—	4	1	no	—
428	C₂²⋊Dic₈₉	—	4	1	no	—
429	C₂²⋊Dic₈₉	—	4	1	no	—
430	C₂²⋊Dic₈₉	—	4	1	no	—
431	C₂²⋊Dic₈₉	—	4	1	no	—
432	C₂²⋊Dic₈₉	—	4	1	no	—
433	C₂²⋊Dic₈₉	—	4	1	no	—
434	C₂²⋊Dic₈₉	—	4	1	no	—
435	C₂²⋊Dic₈₉	—	4	1	no	—
436	C₂²⋊Dic₈₉	—	4	1	no	—
437	C₂²⋊Dic₈₉	—	4	1	no	—
438	C₂²⋊Dic₈₉	—	4	1	no	—
439	C₂²⋊Dic₈₉	—	4	1	no	—
440	C₂²⋊Dic₈₉	—	4	1	no	—
441	C₂²⋊Dic₈₉	—	4	1	no	—
442	C₂²⋊Dic₈₉	—	4	1	no	—
443	C₂²⋊Dic₈₉	—	4	1	no	—
444	C₂²⋊Dic₈₉	—	4	1	no	—
445	C₂²⋊Dic₈₉	—	4	1	no	—
446	C₂²⋊Dic₈₉	—	4	1	no	—
447	C₂²⋊Dic₈₉	—	4	1	no	—
448	C₂²⋊Dic₈₉	—	4	1	no	—
449	C₂²⋊Dic₈₉	—	4	1	no	—
450	C₂²⋊Dic₈₉	—	4	1	no	—
451	C₂²⋊Dic₈₉	—	4	1	no	—
452	C₄×Dic₈₉	—	2	2	no	—
453	C₄×Dic₈₉	—	2	2	no	—
454	C₄×Dic₈₉	—	2	2	no	—
455	C₄×Dic₈₉	—	4	1	no	—
456	C₄×Dic₈₉	—	4	1	no	—
457	C₄×Dic₈₉	—	4	1	no	—
458	C₄×Dic₈₉	—	4	1	no	—
459	C₄×Dic₈₉	—	4	1	no	—
460	C₄×Dic₈₉	—	4	1	no	—
461	C₄×Dic₈₉	—	4	1	no	—
462	C₄×Dic₈₉	—	4	1	no	—
463	C₄×Dic₈₉	—	4	1	no	—
464	C₄×Dic₈₉	—	4	1	no	—
465	C₂⁴×C₈₉	—	2	2	no	—
466	C₂⁴×C₈₉	—	4	1	no	—
467	C₂⁴×C₈₉	—	4	1	no	—
468	C₂⁴×C₈₉	—	4	1	no	—
469	C₂⁴×C₈₉	—	4	1	no	—
470	C₂⁴×C₈₉	—	4	1	no	—
471	C₂⁴×C₈₉	—	4	1	no	—
472	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
473	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
474	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
475	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
476	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
477	C₂×D₄×C₈₉	—	2	2	no	—
478	C₂×D₄×C₈₉	—	2	2	no	—
479	C₂×D₄×C₈₉	—	2	2	no	—
480	C₂×D₄×C₈₉	—	2	2	no	—
481	C₂×D₄×C₈₉	—	4	1	no	—
482	C₂×D₄×C₈₉	—	4	1	no	—
483	C₂×D₄×C₈₉	—	4	1	no	—
484	C₂×D₄×C₈₉	—	4	1	no	—
485	C₂×D₄×C₈₉	—	4	1	no	—
486	C₂×D₄×C₈₉	—	4	1	no	—
487	C₂×D₄×C₈₉	—	4	1	no	—
488	C₂×D₄×C₈₉	—	4	1	no	—
489	C₂×D₄×C₈₉	—	4	1	no	—
490	C₂×D₄×C₈₉	—	4	1	no	—
491	C₂×D₄×C₈₉	—	4	1	no	—
492	C₂×D₄×C₈₉	—	4	1	no	—
493	C₂×D₄×C₈₉	—	4	1	no	—
494	C₂×D₄×C₈₉	—	4	1	no	—
495	C₂×D₄×C₈₉	—	4	1	no	—
496	C₂×D₄×C₈₉	—	4	1	no	—
497	C₂×D₄×C₈₉	—	4	1	no	—
498	C₂²×C₄×C₈₉	—	4	1	no	—
499	C₂²×C₄×C₈₉	—	4	1	no	—
500	C₂²×C₄×C₈₉	—	4	1	no	—
501	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₄⋊C₄×C₈₉	—	2	2	no	—
512	C₄⋊C₄×C₈₉	—	2	2	no	—
513	C₄⋊C₄×C₈₉	—	4	1	no	—
514	C₄⋊C₄×C₈₉	—	4	1	no	—
515	C₂²⋊C₄×C₈₉	—	2	2	no	—
516	C₂²⋊C₄×C₈₉	—	2	2	no	—
517	C₂²⋊C₄×C₈₉	—	2	2	no	—
518	C₂²⋊C₄×C₈₉	—	2	2	no	—
519	C₂²⋊C₄×C₈₉	—	2	2	no	—
520	C₂²⋊C₄×C₈₉	—	2	2	no	—
521	C₂²⋊C₄×C₈₉	—	4	1	no	—
522	C₂²⋊C₄×C₈₉	—	4	1	no	—
523	C₂²⋊C₄×C₈₉	—	4	1	no	—
524	C₂²⋊C₄×C₈₉	—	4	1	no	—
525	C₂²⋊C₄×C₈₉	—	4	1	no	—
526	C₂²⋊C₄×C₈₉	—	4	1	no	—
527	C₂²⋊C₄×C₈₉	—	4	1	no	—
528	C₂²⋊C₄×C₈₉	—	4	1	no	—
529	C₂²⋊C₄×C₈₉	—	4	1	no	—
530	C₂²⋊C₄×C₈₉	—	4	1	no	—
531	C₂²⋊C₄×C₈₉	—	4	1	no	—
532	C₄²×C₈₉	—	4	1	no	—
533	C₂³×C₈₉	—	2	1	no	—
534	C₂³×C₈₉	—	2	1	no	—
535	C₂³×C₈₉	—	2	1	no	—
536	C₂³×C₈₉	—	2	1	no	—
537	C₂³×C₈₉	—	2	1	no	—
538	C₂³×C₈₉	—	2	1	no	—
539	C₂³×C₈₉	—	2	1	no	—
540	C₂³×C₈₉	—	2	1	no	—
541	C₂³×C₈₉	—	2	1	no	—
542	C₂³×C₈₉	—	2	1	no	—
543	C₂³×C₈₉	—	2	1	no	—
544	C₂³×C₈₉	—	2	1	no	—
545	C₂³×C₈₉	—	2	1	no	—
546	C₂³×C₈₉	—	2	1	no	—
547	C₂³×C₈₉	—	2	1	no	—
548	C₂³×C₈₉	—	2	1	no	—
549	C₂³×C₈₉	—	2	1	no	—
550	C₂³×C₈₉	—	2	1	no	—
551	C₂³×C₈₉	—	2	1	no	—
552	C₂³×C₈₉	—	2	1	no	—
553	C₂³×C₈₉	—	2	1	no	—
554	C₂³×C₈₉	—	2	1	no	—
555	C₂³×C₈₉	—	2	1	no	—
556	C₂³×C₈₉	—	2	1	no	—
557	C₂³×C₈₉	—	2	1	no	—
558	C₂³×C₈₉	—	2	1	no	—
559	C₂³×C₈₉	—	2	1	no	—
560	C₂³×C₈₉	—	2	1	no	—
561	C₂³×C₈₉	—	2	1	no	—
562	C₂³×C₈₉	—	2	1	no	—
563	C₂³×C₈₉	—	2	1	no	—
564	C₂³×C₈₉	—	2	1	no	—
565	C₂³×C₈₉	—	2	1	no	—
566	C₂³×C₈₉	—	2	1	no	—
567	C₂³×C₈₉	—	4	4	no	—
568	C₂³×C₈₉	—	8	2	no	—
569	C₂³×C₈₉	—	8	2	no	—
570	C₂³×C₈₉	—	8	2	no	—
571	C₂³×C₈₉	—	8	2	no	—
572	C₂³×C₈₉	—	8	2	no	—
573	C₂³×C₈₉	—	8	2	no	—
574	C₂³×C₈₉	C₂×#41	1	2	yes	—
575	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
576	D₄×C₈₉	—	4	4	no	—
577	D₄×C₈₉	—	8	2	no	—
578	D₄×C₈₉	—	8	2	no	—
579	D₄×C₈₉	—	8	2	no	—
580	D₄×C₈₉	—	8	2	no	—
581	D₄×C₈₉	—	8	2	no	—
582	D₄×C₈₉	—	8	2	no	—
583	C₂×C₄×C₈₉	—	2	1	no	—
584	C₂×C₄×C₈₉	—	2	1	no	—
585	C₂×C₄×C₈₉	—	2	1	no	—
586	C₂×C₄×C₈₉	—	2	1	no	—
587	C₂×C₄×C₈₉	—	2	1	no	—
588	C₂×C₄×C₈₉	—	2	1	no	—
589	C₂×C₄×C₈₉	—	2	1	no	—
590	C₂×C₄×C₈₉	—	2	1	no	—
591	C₂×C₄×C₈₉	—	2	1	no	—
592	C₂×C₄×C₈₉	—	2	1	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	2	1	no	—
596	C₂×C₄×C₈₉	—	2	1	no	—
597	C₂×C₄×C₈₉	—	2	1	no	—
598	C₂×C₄×C₈₉	—	2	1	no	—
599	C₂×C₄×C₈₉	—	2	1	no	—
600	C₂×C₄×C₈₉	—	2	1	no	—
601	C₂×C₄×C₈₉	—	2	1	no	—
602	C₂×C₄×C₈₉	—	2	1	no	—
603	C₂×C₄×C₈₉	—	2	1	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	8	2	no	—
612	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
613	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
614	C₂×Dic₈₉	—	2	1	no	—
615	C₂×Dic₈₉	—	2	1	no	—
616	C₂×Dic₈₉	—	2	1	no	—
617	C₂×Dic₈₉	—	2	1	no	—
618	C₂×Dic₈₉	—	2	1	no	—
619	C₂×Dic₈₉	—	2	1	no	—
620	C₂×Dic₈₉	—	2	1	no	—
621	C₂×Dic₈₉	—	2	1	no	—
622	C₂×Dic₈₉	—	2	1	no	—
623	C₂×Dic₈₉	—	2	1	no	—
624	C₂×Dic₈₉	—	2	1	no	—
625	C₂×Dic₈₉	—	2	1	no	—
626	C₂×Dic₈₉	—	2	1	no	—
627	C₂×Dic₈₉	—	2	1	no	—
628	C₂×Dic₈₉	—	2	1	no	—
629	C₂×Dic₈₉	—	2	1	no	—
630	C₂×Dic₈₉	—	2	1	no	—
631	C₂×Dic₈₉	—	2	1	no	—
632	C₂×Dic₈₉	—	2	1	no	—
633	C₂×Dic₈₉	—	2	1	no	—
634	C₂×Dic₈₉	—	2	1	no	—
635	C₂×Dic₈₉	—	2	1	no	—
636	C₂×Dic₈₉	—	2	1	no	—
637	C₂×Dic₈₉	—	2	1	no	—
638	C₂×Dic₈₉	—	2	1	no	—
639	C₂×Dic₈₉	—	2	1	no	—
640	C₂×Dic₈₉	—	2	1	no	—
641	C₂×Dic₈₉	—	2	1	no	—
642	C₂×Dic₈₉	—	2	1	no	—
643	C₂×Dic₈₉	—	2	1	no	—
644	C₂×Dic₈₉	—	2	1	no	—
645	C₂×Dic₈₉	—	2	1	no	—
646	C₂×Dic₈₉	—	2	1	no	—
647	C₂×Dic₈₉	—	2	1	no	—
648	C₂×Dic₈₉	—	2	1	no	—
649	C₂×Dic₈₉	—	2	1	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	2	1	no	—
660	C₂×Dic₈₉	—	4	4	no	—
661	C₂×Dic₈₉	—	4	4	no	—
662	C₂×Dic₈₉	—	8	2	no	—
663	C₂×Dic₈₉	C₂×#41	1	2	yes	—
664	C₂×Dic₈₉	C₂×#41	1	2	yes	—
665	C₂²×C₈₉	—	2	2	no	—
666	C₂²×C₈₉	—	2	2	no	—
667	C₂²×C₈₉	—	2	2	no	—
668	C₂²×C₈₉	—	4	1	no	—
669	C₂²×C₈₉	—	4	1	no	—
670	C₂²×C₈₉	—	4	1	no	—
671	C₂²×C₈₉	—	4	1	no	—
672	C₂²×C₈₉	—	4	1	no	—
673	C₂²×C₈₉	—	4	1	no	—
674	C₂²×C₈₉	—	4	1	no	—
675	C₂²×C₈₉	—	4	1	no	—
676	C₂²×C₈₉	—	4	1	no	—
677	C₂²×C₈₉	—	4	1	no	—
678	C₂²×C₈₉	—	4	1	no	—
679	C₂²×C₈₉	—	4	1	no	—
680	C₂²×C₈₉	—	4	1	no	—
681	C₂²×C₈₉	—	4	1	no	—
682	C₂²×C₈₉	—	4	1	no	—
683	C₂²×C₈₉	—	4	1	no	—
684	C₂²×C₈₉	—	4	1	no	—
685	C₂²×C₈₉	—	4	1	no	—
686	C₂²×C₈₉	—	4	1	no	—
687	C₂²×C₈₉	—	4	1	no	—
688	C₂²×C₈₉	—	4	1	no	—
689	C₂²×C₈₉	—	4	1	no	—
690	C₂²×C₈₉	—	4	1	no	—
691	C₂²×C₈₉	—	4	1	no	—
692	C₂²×C₈₉	—	4	1	no	—
693	C₂²×C₈₉	—	4	1	no	—
694	C₂²×C₈₉	—	4	1	no	—
695	C₂²×C₈₉	—	4	1	no	—
696	C₂²×C₈₉	—	4	1	no	—
697	C₂²×C₈₉	—	4	1	no	—
698	C₂²×C₈₉	—	4	1	no	—
699	C₂²×C₈₉	—	4	1	no	—
700	C₂²×C₈₉	—	8	8	no	—
701	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
702	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
704	C₂²×C₈₉	#585	1	1	yes	characteristic
705	C₂²×C₈₉	#585	1	1	yes	characteristic
706	C₂²×C₈₉	#585	1	1	yes	characteristic
707	C₂²×C₈₉	#585	1	1	yes	characteristic
708	C₄×C₈₉	—	2	2	no	—
709	C₄×C₈₉	—	2	2	no	—
710	C₄×C₈₉	—	4	1	no	—
711	C₄×C₈₉	—	4	1	no	—
712	C₄×C₈₉	—	4	1	no	—
713	C₄×C₈₉	—	4	1	no	—
714	C₄×C₈₉	—	4	1	no	—
715	C₄×C₈₉	—	4	1	no	—
716	C₄×C₈₉	—	4	1	no	—
717	C₄×C₈₉	—	4	1	no	—
718	Dic₈₉	—	2	2	no	—
719	Dic₈₉	—	2	2	no	—
720	Dic₈₉	—	4	1	no	—
721	Dic₈₉	—	4	1	no	—
722	Dic₈₉	—	4	1	no	—
723	Dic₈₉	—	4	1	no	—
724	Dic₈₉	—	4	1	no	—
725	Dic₈₉	—	4	1	no	—
726	Dic₈₉	—	4	1	no	—
727	Dic₈₉	—	4	1	no	—
728	Dic₈₉	—	4	1	no	—
729	Dic₈₉	—	4	1	no	—
730	Dic₈₉	—	4	1	no	—
731	Dic₈₉	—	4	1	no	—
732	Dic₈₉	—	4	1	no	—
733	Dic₈₉	—	4	1	no	—
734	#36990	—	89	1	no	maximal, Sylow
735	C₂×C₈₉	—	4	2	no	—
736	C₂×C₈₉	—	8	1	no	—
737	C₂×C₈₉	—	8	1	no	—
738	C₂×C₈₉	—	8	1	no	—
739	C₂×C₈₉	—	8	1	no	—
740	C₂×C₈₉	#3455	1	1	yes	characteristic
741	C₂×C₈₉	#3494	1	1	yes	characteristic
742	C₂×C₈₉	#3505	1	1	yes	characteristic
743	C₂×C₈₉	#3546	1	1	yes	characteristic
744	C₂×C₈₉	#3560	1	1	yes	characteristic
745	C₂×C₈₉	#3562	1	1	yes	characteristic
746	C₂×C₈₉	#3566	1	1	yes	characteristic
747	#2866	—	89	1	no	—
748	#2860	—	89	1	no	—
749	#2803	—	89	1	no	—
750	#2801	—	89	1	no	—
751	#2800	—	89	1	no	—
752	#2795	—	89	1	no	—
753	#2746	—	89	1	no	—
754	#2739	—	89	1	no	—
755	#2735	—	89	1	no	—
756	#2725	—	89	1	no	—
757	#2725	—	89	1	no	—
758	#2718	—	89	1	no	—
759	#2711	—	89	1	no	—
760	#2705	—	89	1	no	—
761	#2694	—	89	1	no	—
762	#2685	—	89	1	no	—
763	#2685	—	89	1	no	—
764	#2678	D₈₉	1	1	yes	characteristic
765	#2649	—	89	1	no	—
766	#2648	—	89	1	no	—
767	#2602	—	89	1	no	—
768	#2594	—	89	1	no	—
769	#2558	—	89	1	no	—
770	#2534	—	89	1	no	—
771	#2479	—	89	1	no	—
772	#2476	—	89	1	no	—
773	#2441	—	89	1	no	—
774	#2411	—	89	1	no	—
775	#2335	—	89	1	no	—
776	#2312	—	89	1	no	—
777	#2293	—	89	1	no	—
778	C₈₉	#36990	1	1	yes	characteristic, complemented, Sylow
779	C₂×#126	—	89	1	no	—
780	C₂×#126	—	89	1	no	—
781	C₂×#126	—	89	1	no	—
782	C₂×#125	—	89	1	no	—
783	C₂×#125	—	89	1	no	—
784	C₂×#123	—	89	1	no	—
785	C₂×#123	—	89	1	no	—
786	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
787	C₂×#121	C₂×D₈₉	1	1	yes	characteristic
788	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
789	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
790	C₂×C₄×D₄	—	89	1	no	—
791	C₂×#117	—	89	1	no	—
792	C₂×#117	—	89	1	no	—
793	C₂²×C₂²⋊C₄	—	89	1	no	—
794	#401	—	89	1	no	—
795	#400	—	89	1	no	—
796	#400	—	89	1	no	—
797	#400	—	89	1	no	—
798	#400	—	89	1	no	—
799	#399	—	89	1	no	—
800	#399	—	89	1	no	—
801	#399	—	89	1	no	—
802	#399	—	89	1	no	—
803	#399	—	89	1	no	—
804	#398	—	89	1	no	—
805	#398	—	89	1	no	—
806	#398	—	89	1	no	—
807	#397	—	89	1	no	—
808	#397	—	89	1	no	—
809	#397	—	89	1	no	—
810	#397	—	89	1	no	—
811	#397	—	89	1	no	—
812	#397	C₂×D₈₉	1	1	yes	characteristic
813	#396	—	89	1	no	—
814	#396	—	89	1	no	—
815	#396	—	89	1	no	—
816	#396	—	89	1	no	—
817	#396	—	89	1	no	—
818	#396	—	89	1	no	—
819	#396	—	89	1	no	—
820	#396	—	89	1	no	—
821	#396	—	89	1	no	—
822	#396	—	89	1	no	—
823	#396	C₂×D₈₉	1	1	yes	characteristic
824	#394	—	89	1	no	—
825	#394	—	89	1	no	—
826	#394	—	89	1	no	—
827	#394	—	89	1	no	—
828	#394	—	89	1	no	—
829	#394	—	89	1	no	—
830	#394	—	89	1	no	—
831	#394	—	89	1	no	—
832	#394	—	89	1	no	—
833	#394	—	89	1	no	—
834	#394	—	89	1	no	—
835	#394	—	89	1	no	—
836	#394	—	89	1	no	—
837	#394	—	89	1	no	—
838	#394	C₂×D₈₉	1	1	yes	characteristic
839	#394	C₂×D₈₉	1	1	yes	characteristic
840	#392	C₂×D₈₉	1	1	yes	characteristic
841	#392	C₂×D₈₉	1	1	yes	characteristic
842	#390	—	89	1	no	—
843	#390	—	89	1	no	—
844	#390	—	89	1	no	—
845	#390	—	89	1	no	—
846	#390	—	89	1	no	—
847	#390	—	89	1	no	—
848	#390	—	89	1	no	—
849	#390	C₂×D₈₉	1	1	yes	characteristic
850	#390	C₂×D₈₉	1	1	yes	characteristic
851	#389	—	89	1	no	—
852	#389	—	89	1	no	—
853	#389	—	89	1	no	—
854	#389	—	89	1	no	—
855	#389	—	89	1	no	—
856	#389	—	89	1	no	—
857	#389	—	89	1	no	—
858	#389	—	89	1	no	—
859	#389	—	89	1	no	—
860	#389	—	89	1	no	—
861	#389	—	89	1	no	—
862	#388	—	89	1	no	—
863	#388	—	89	1	no	—
864	#388	—	89	1	no	—
865	#388	—	89	1	no	—
866	#388	—	89	1	no	—
867	#388	—	89	1	no	—
868	#388	—	89	1	no	—
869	#388	—	89	1	no	—
870	#388	—	89	1	no	—
871	#388	—	89	1	no	—
872	#388	—	89	1	no	—
873	#388	—	89	1	no	—
874	#388	—	89	1	no	—
875	#388	—	89	1	no	—
876	#388	—	89	1	no	—
877	#388	—	89	1	no	—
878	#388	—	89	1	no	—
879	#388	—	89	1	no	—
880	#388	—	89	1	no	—
881	#388	—	89	1	no	—
882	#388	—	89	1	no	—
883	#388	—	89	1	no	—
884	#388	—	89	1	no	—
885	#388	—	89	1	no	—
886	#388	—	89	1	no	—
887	#388	—	89	1	no	—
888	#388	—	89	1	no	—
889	#388	—	89	1	no	—
890	#388	—	89	1	no	—
891	#388	—	89	1	no	—
892	#388	—	89	1	no	—
893	#388	—	89	1	no	—
894	#388	—	89	1	no	—
895	#388	—	89	1	no	—
896	#388	C₂×D₈₉	1	1	yes	characteristic
897	#387	—	89	1	no	—
898	#387	—	89	1	no	—
899	#387	—	89	1	no	—
900	#387	—	89	1	no	—
901	#387	—	89	1	no	—
902	#387	—	89	1	no	—
903	#387	—	89	1	no	—
904	#387	—	89	1	no	—
905	#387	—	89	1	no	—
906	#387	—	89	1	no	—
907	#387	—	89	1	no	—
908	#386	—	89	1	no	—
909	#386	—	89	1	no	—
910	#386	—	89	1	no	—
911	#386	—	89	1	no	—
912	#386	C₂×D₈₉	1	1	yes	characteristic
913	#385	—	89	1	no	—
914	#385	—	89	1	no	—
915	#385	—	89	1	no	—
916	#385	—	89	1	no	—
917	#385	—	89	1	no	—
918	#384	—	89	1	no	—
919	#381	—	89	1	no	—
920	#380	—	89	1	no	—
921	#380	—	89	1	no	—
922	#380	—	89	1	no	—
923	#379	—	89	1	no	—
924	#379	—	89	1	no	—
925	#379	—	89	1	no	—
926	#379	C₂×D₈₉	1	1	yes	characteristic
927	C₄×C₄⋊C₄	—	89	1	no	—
928	C₄×C₄⋊C₄	—	89	1	no	—
929	C₄×C₂²⋊C₄	—	89	1	no	—
930	C₄×C₂²⋊C₄	—	89	1	no	—
931	C₄×C₂²⋊C₄	—	89	1	no	—
932	C₄×C₂²⋊C₄	—	89	1	no	—
933	C₄³	—	89	1	no	—
934	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
935	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
936	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
937	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
938	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
939	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
940	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
942	C₂³×C₄	—	89	1	no	—
943	C₂³×C₄	—	89	1	no	—
944	C₂³×C₄	—	89	1	no	—
945	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
946	#126	—	356	2	no	—
947	#126	—	356	2	no	—
948	#126	—	356	2	no	—
949	#125	—	356	2	no	—
950	#125	—	356	2	no	—
951	#123	—	4	2	no	—
952	#123	—	356	2	no	—
953	#123	—	178	4	no	—
954	#121	—	4	2	no	—
955	#120	—	4	2	no	—
956	#120	—	4	2	no	—
957	C₄×D₄	—	178	4	no	—
958	#117	—	356	2	no	—
959	#117	—	356	2	no	—
960	C₂×C₄⋊C₄	—	89	1	no	—
961	C₂×C₄⋊C₄	—	89	1	no	—
962	C₂×C₄⋊C₄	—	89	1	no	—
963	C₂×C₄⋊C₄	—	89	1	no	—
964	C₂×C₄⋊C₄	—	89	1	no	—
965	C₂×C₄⋊C₄	—	89	1	no	—
966	C₂×C₄⋊C₄	—	89	1	no	—
967	C₂×C₄⋊C₄	—	89	1	no	—
968	C₂×C₄⋊C₄	—	89	1	no	—
969	C₂×C₄⋊C₄	—	89	1	no	—
970	C₂×C₄⋊C₄	—	89	1	no	—
971	C₂×C₄⋊C₄	—	89	1	no	—
972	C₂×C₄⋊C₄	—	89	1	no	—
973	C₂×C₄⋊C₄	—	89	1	no	—
974	C₂×C₄⋊C₄	—	89	1	no	—
975	C₂×C₄⋊C₄	—	89	1	no	—
976	C₂×C₄⋊C₄	—	89	1	no	—
977	C₂×C₄⋊C₄	—	89	1	no	—
978	C₂×C₄⋊C₄	—	89	1	no	—
979	C₂×C₄⋊C₄	—	89	1	no	—
980	C₂×C₄⋊C₄	—	89	1	no	—
981	C₂×C₄⋊C₄	—	89	1	no	—
982	C₂×C₄⋊C₄	—	89	1	no	—
983	C₂×C₄⋊C₄	—	89	1	no	—
984	C₂×C₄⋊C₄	—	89	1	no	—
985	C₂×C₄⋊C₄	—	89	1	no	—
986	C₂×C₄⋊C₄	—	89	1	no	—
987	C₂×C₄⋊C₄	—	89	1	no	—
988	C₂×C₄⋊C₄	—	89	1	no	—
989	C₂×C₄⋊C₄	—	89	1	no	—
990	C₂×C₄⋊C₄	—	89	1	no	—
991	C₂×C₄⋊C₄	—	89	1	no	—
992	C₂×C₄⋊C₄	—	89	1	no	—
993	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	—	89	1	no	—
998	C₂×C₂²⋊C₄	—	89	1	no	—
999	C₂×C₂²⋊C₄	—	89	1	no	—
1000	C₂×C₂²⋊C₄	—	89	1	no	—
1001	C₂×C₂²⋊C₄	—	89	1	no	—
1002	C₂×C₂²⋊C₄	—	89	1	no	—
1003	C₂×C₂²⋊C₄	—	89	1	no	—
1004	C₂×C₂²⋊C₄	—	89	1	no	—
1005	C₂×C₂²⋊C₄	—	89	1	no	—
1006	C₂×C₂²⋊C₄	—	89	1	no	—
1007	C₂×C₂²⋊C₄	—	89	1	no	—
1008	C₂×C₂²⋊C₄	—	89	1	no	—
1009	C₂×C₂²⋊C₄	—	89	1	no	—
1010	C₂×C₂²⋊C₄	—	89	1	no	—
1011	C₂×C₂²⋊C₄	—	89	1	no	—
1012	C₂×C₂²⋊C₄	—	89	1	no	—
1013	C₂×C₂²⋊C₄	—	89	1	no	—
1014	C₂×C₂²⋊C₄	—	89	1	no	—
1015	C₂×C₂²⋊C₄	—	89	1	no	—
1016	C₂×C₂²⋊C₄	—	89	1	no	—
1017	C₂×C₂²⋊C₄	—	89	1	no	—
1018	C₂×C₂²⋊C₄	—	89	1	no	—
1019	C₂×C₂²⋊C₄	—	89	1	no	—
1020	C₂×C₂²⋊C₄	—	89	1	no	—
1021	C₂×C₂²⋊C₄	—	89	1	no	—
1022	C₂×C₂²⋊C₄	—	89	1	no	—
1023	C₂×C₂²⋊C₄	—	89	1	no	—
1024	C₂×C₂²⋊C₄	—	89	1	no	—
1025	C₂×C₂²⋊C₄	—	89	1	no	—
1026	C₂×C₂²⋊C₄	—	89	1	no	—
1027	C₂×C₂²⋊C₄	—	89	1	no	—
1028	C₂×C₂²⋊C₄	—	89	1	no	—
1029	C₂×C₂²⋊C₄	—	89	1	no	—
1030	C₂×C₂²⋊C₄	—	89	1	no	—
1031	C₂×C₂²⋊C₄	—	89	1	no	—
1032	C₂×C₂²⋊C₄	—	89	1	no	—
1033	C₂×C₂²⋊C₄	—	89	1	no	—
1034	C₂×C₂²⋊C₄	—	178	4	no	—
1035	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1052	C₂×C₄²	—	89	1	no	—
1053	C₂×C₄²	—	89	1	no	—
1054	C₂×C₄²	—	89	1	no	—
1055	C₂×C₄²	—	89	1	no	—
1056	C₂×C₄²	—	89	1	no	—
1057	C₂×C₄²	—	89	1	no	—
1058	C₂×C₄²	—	89	1	no	—
1059	C₂×C₄²	—	89	1	no	—
1060	C₂×C₄²	—	89	1	no	—
1061	C₂×C₄²	—	89	1	no	—
1062	C₂×C₄²	—	89	1	no	—
1063	C₂×C₄²	—	89	1	no	—
1064	C₂×C₄²	—	89	1	no	—
1065	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1066	#95	—	89	1	no	—
1067	#95	—	89	1	no	—
1068	#95	—	89	1	no	—
1069	#95	—	89	1	no	—
1070	#95	—	89	1	no	—
1071	#95	—	89	1	no	—
1072	#95	—	89	1	no	—
1073	#95	—	89	1	no	—
1074	#95	—	89	1	no	—
1075	#95	—	89	1	no	—
1076	#95	—	89	1	no	—
1077	#95	—	89	1	no	—
1078	#95	—	89	1	no	—
1079	#95	—	89	1	no	—
1080	#95	—	89	1	no	—
1081	#95	—	89	1	no	—
1082	#95	—	89	1	no	—
1083	#95	—	89	1	no	—
1084	#95	—	89	1	no	—
1085	#95	—	89	1	no	—
1086	#95	—	89	1	no	—
1087	#95	—	89	1	no	—
1088	#95	—	89	1	no	—
1089	#95	—	89	1	no	—
1090	#95	—	89	1	no	—
1091	#95	—	89	1	no	—
1092	#95	—	89	1	no	—
1093	#95	—	89	1	no	—
1094	#95	—	89	1	no	—
1095	#95	—	89	1	no	—
1096	#95	—	89	1	no	—
1097	#95	—	89	1	no	—
1098	#95	—	89	1	no	—
1099	#95	—	89	1	no	—
1100	#95	C₂²×D₈₉	1	1	yes	characteristic
1101	#95	C₂²×D₈₉	1	1	yes	characteristic
1102	#95	C₂²×D₈₉	1	1	yes	characteristic
1103	#95	C₂²×D₈₉	1	1	yes	characteristic
1104	C₂⁴	—	2	2	no	—
1105	C₂⁴	—	4	1	no	—
1106	C₂⁴	—	4	1	no	—
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1112	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1113	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1114	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1115	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1116	C₂×D₄	—	2	2	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	2	no	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	1	no	—
1123	C₂×D₄	—	4	1	no	—
1124	C₂×D₄	—	4	1	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	—	4	1	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	89	4	no	—
1141	C₂²×C₄	—	89	1	no	—
1142	C₂²×C₄	—	89	1	no	—
1143	C₂²×C₄	—	89	1	no	—
1144	C₂²×C₄	—	89	1	no	—
1145	C₂²×C₄	—	89	1	no	—
1146	C₂²×C₄	—	89	1	no	—
1147	C₂²×C₄	—	89	1	no	—
1148	C₂²×C₄	—	89	1	no	—
1149	C₂²×C₄	—	89	1	no	—
1150	C₂²×C₄	—	89	1	no	—
1151	C₂²×C₄	—	89	1	no	—
1152	C₂²×C₄	—	89	1	no	—
1153	C₂²×C₄	—	89	1	no	—
1154	C₂²×C₄	—	89	1	no	—
1155	C₂²×C₄	—	89	1	no	—
1156	C₂²×C₄	—	89	1	no	—
1157	C₂²×C₄	—	356	1	no	—
1158	C₂²×C₄	—	356	1	no	—
1159	C₂²×C₄	—	356	1	no	—
1160	C₂²×C₄	—	356	1	no	—
1161	C₂²×C₄	—	356	1	no	—
1162	C₂²×C₄	—	356	1	no	—
1163	C₂²×C₄	—	178	2	no	—
1164	C₂²×C₄	—	178	2	no	—
1165	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	356	1	no	—
1180	C₄⋊C₄	—	356	1	no	—
1181	C₄⋊C₄	—	356	1	no	—
1182	C₄⋊C₄	—	356	1	no	—
1183	C₄⋊C₄	—	356	1	no	—
1184	C₄⋊C₄	—	356	1	no	—
1185	C₄⋊C₄	—	356	1	no	—
1186	C₄⋊C₄	—	356	1	no	—
1187	C₄⋊C₄	—	356	1	no	—
1188	C₄⋊C₄	—	356	1	no	—
1189	C₄⋊C₄	—	356	1	no	—
1190	C₄⋊C₄	—	356	1	no	—
1191	C₄⋊C₄	—	356	1	no	—
1192	C₄⋊C₄	—	356	1	no	—
1193	C₄⋊C₄	—	356	1	no	—
1194	C₄⋊C₄	—	356	1	no	—
1195	C₄⋊C₄	—	356	1	no	—
1196	C₄⋊C₄	—	356	1	no	—
1197	C₄⋊C₄	—	356	1	no	—
1198	C₄⋊C₄	—	356	1	no	—
1199	C₄⋊C₄	—	356	1	no	—
1200	C₄⋊C₄	—	356	1	no	—
1201	C₄⋊C₄	—	356	1	no	—
1202	C₄⋊C₄	—	356	1	no	—
1203	C₄⋊C₄	—	178	2	no	—
1204	C₄⋊C₄	—	178	2	no	—
1205	C₄⋊C₄	—	178	2	no	—
1206	C₄⋊C₄	—	178	2	no	—
1207	C₄⋊C₄	—	178	2	no	—
1208	C₄⋊C₄	—	178	2	no	—
1209	C₄⋊C₄	—	178	2	no	—
1210	C₄⋊C₄	—	178	2	no	—
1211	C₄⋊C₄	—	178	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	356	1	no	—
1230	C₂²⋊C₄	—	356	1	no	—
1231	C₂²⋊C₄	—	356	1	no	—
1232	C₂²⋊C₄	—	356	1	no	—
1233	C₂²⋊C₄	—	356	1	no	—
1234	C₂²⋊C₄	—	356	1	no	—
1235	C₂²⋊C₄	—	356	1	no	—
1236	C₂²⋊C₄	—	356	1	no	—
1237	C₂²⋊C₄	—	356	1	no	—
1238	C₂²⋊C₄	—	356	1	no	—
1239	C₂²⋊C₄	—	356	1	no	—
1240	C₂²⋊C₄	—	356	1	no	—
1241	C₂²⋊C₄	—	356	1	no	—
1242	C₂²⋊C₄	—	356	1	no	—
1243	C₂²⋊C₄	—	356	1	no	—
1244	C₂²⋊C₄	—	356	1	no	—
1245	C₂²⋊C₄	—	356	1	no	—
1246	C₂²⋊C₄	—	356	1	no	—
1247	C₂²⋊C₄	—	356	1	no	—
1248	C₂²⋊C₄	—	356	1	no	—
1249	C₂²⋊C₄	—	356	1	no	—
1250	C₂²⋊C₄	—	356	1	no	—
1251	C₂²⋊C₄	—	356	1	no	—
1252	C₂²⋊C₄	—	356	1	no	—
1253	C₂²⋊C₄	—	356	1	no	—
1254	C₂²⋊C₄	—	356	1	no	—
1255	C₂²⋊C₄	—	356	1	no	—
1256	C₂²⋊C₄	—	356	1	no	—
1257	C₂²⋊C₄	—	178	2	no	—
1258	C₂²⋊C₄	—	178	2	no	—
1259	C₂²⋊C₄	—	178	2	no	—
1260	C₂²⋊C₄	—	178	2	no	—
1261	C₂²⋊C₄	—	178	2	no	—
1262	C₂²⋊C₄	—	178	2	no	—
1263	C₂²⋊C₄	—	178	2	no	—
1264	C₂²⋊C₄	—	178	2	no	—
1265	C₂²⋊C₄	—	178	2	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	356	1	no	—
1268	C₄²	—	356	1	no	—
1269	C₄²	—	356	1	no	—
1270	C₄²	—	356	1	no	—
1271	C₄²	—	356	1	no	—
1272	C₄²	—	356	1	no	—
1273	C₄²	—	356	1	no	—
1274	C₄²	—	356	1	no	—
1275	C₄²	—	356	1	no	—
1276	C₄²	—	356	1	no	—
1277	C₄²	—	178	2	no	—
1278	C₄²	—	178	2	no	—
1279	C₄²	—	178	2	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	4	4	no	—
1315	C₂³	—	8	2	no	—
1316	C₂³	—	8	2	no	—
1317	C₂³	—	8	2	no	—
1318	C₂³	—	8	2	no	—
1319	C₂³	—	8	2	no	—
1320	C₂³	—	8	2	no	—
1321	C₂³	#41×D₈₉	1	2	yes	—
1322	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1323	D₄	—	4	4	no	—
1324	D₄	—	8	2	no	—
1325	D₄	—	8	2	no	—
1326	D₄	—	8	2	no	—
1327	D₄	—	8	2	no	—
1328	D₄	—	8	2	no	—
1329	D₄	—	8	2	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	8	2	no	—
1359	C₂×C₄	—	89	2	no	—
1360	C₂×C₄	—	89	2	no	—
1361	C₂×C₄	—	356	4	no	—
1362	C₂×C₄	—	356	4	no	—
1363	C₂×C₄	—	178	1	no	—
1364	C₂×C₄	—	178	1	no	—
1365	C₂×C₄	—	178	1	no	—
1366	C₂×C₄	—	178	1	no	—
1367	C₂×C₄	—	178	1	no	—
1368	C₂×C₄	—	178	1	no	—
1369	C₂×C₄	—	178	1	no	—
1370	C₂×C₄	—	178	1	no	—
1371	C₂×C₄	—	178	1	no	—
1372	C₂×C₄	—	178	1	no	—
1373	C₂×C₄	—	178	1	no	—
1374	C₂×C₄	—	178	1	no	—
1375	C₂×C₄	—	178	1	no	—
1376	C₂×C₄	—	178	1	no	—
1377	C₂×C₄	—	178	1	no	—
1378	C₂×C₄	—	178	1	no	—
1379	C₂×C₄	—	178	1	no	—
1380	C₂×C₄	—	178	1	no	—
1381	C₂×C₄	—	178	1	no	—
1382	C₂×C₄	—	178	1	no	—
1383	C₂×C₄	—	178	1	no	—
1384	C₂×C₄	—	178	1	no	—
1385	C₂×C₄	—	178	1	no	—
1386	C₂×C₄	—	178	1	no	—
1387	C₂×C₄	—	178	1	no	—
1388	C₂×C₄	—	178	1	no	—
1389	C₂×C₄	—	178	1	no	—
1390	C₂×C₄	—	178	1	no	—
1391	C₂×C₄	—	178	1	no	—
1392	C₂×C₄	—	178	1	no	—
1393	C₂×C₄	—	178	1	no	—
1394	C₂×C₄	—	178	1	no	—
1395	C₂×C₄	—	178	1	no	—
1396	C₂×C₄	—	178	1	no	—
1397	C₂×C₄	—	178	1	no	—
1398	C₂×C₄	—	178	1	no	—
1399	C₂×C₄	—	178	1	no	—
1400	C₂×C₄	—	178	1	no	—
1401	C₂×C₄	—	178	1	no	—
1402	C₂×C₄	—	178	1	no	—
1403	C₂×C₄	—	178	1	no	—
1404	C₂×C₄	—	178	1	no	—
1405	C₂×C₄	—	178	1	no	—
1406	C₂×C₄	—	178	1	no	—
1407	C₂×C₄	—	178	1	no	—
1408	C₂×C₄	—	178	1	no	—
1409	C₂×C₄	—	712	2	no	—
1410	C₂×C₄	#15668057	1	2	yes	—
1411	C₂×C₄	#15668057	1	2	yes	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	8	8	no	—
1448	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1449	C₂²	C₂×#15668057	1	1	yes	characteristic
1450	C₂²	C₂×#15668057	1	1	yes	characteristic
1451	C₂²	#19152433	1	1	yes	characteristic
1452	C₂²	#19152433	1	1	yes	characteristic
1453	C₂²	#19152433	1	1	yes	characteristic
1454	C₂²	#19152433	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	356	1	no	—
1466	C₄	—	356	1	no	—
1467	C₄	—	356	1	no	—
1468	C₄	—	356	1	no	—
1469	C₄	—	356	1	no	—
1470	C₄	—	356	1	no	—
1471	C₄	—	356	1	no	—
1472	C₄	—	356	1	no	—
1473	C₄	—	356	1	no	—
1474	C₄	—	356	1	no	—
1475	C₄	—	356	1	no	—
1476	C₄	—	356	1	no	—
1477	C₄	—	356	1	no	—
1478	C₄	—	356	1	no	—
1479	C₄	—	178	2	no	—
1480	C₄	—	178	2	no	—
1481	C₂	—	4	2	no	—
1482	C₂	—	8	1	no	—
1483	C₂	—	8	1	no	—
1484	C₂	—	8	1	no	—
1485	C₂	—	8	1	no	—
1486	C₂	#26033634	1	1	yes	characteristic
1487	C₂	#26033974	1	1	yes	characteristic
1488	C₂	#26034079	1	1	yes	characteristic
1489	C₂	#26034620	1	1	yes	characteristic
1490	C₂	#26034794	1	1	yes	characteristic
1491	C₂	#26034836	1	1	yes	characteristic
1492	C₂	#26034909	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting, prime radical	C₈₉×#2678	C₂
hypercenter	#2678	D₈₉
hypocenter	C₈₉	#36990
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2678

Complements

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

N	H ≅ G/N	type
1. #26028643	C₂	semidirect
2. #26028616	C₂	semidirect
3. #26028191	C₂	semidirect
4. #26028156	C₂	semidirect
5. #26028149	C₂	semidirect
6. #26028085	C₂	semidirect
7. #26027434	C₂	semidirect
8. #26027343	C₂	semidirect
9. #26027289	C₂	semidirect
10. #26027199	C₂	semidirect
11. #26027187	C₂	semidirect
12. #26027098	C₂	semidirect
13. #26027003	C₂	semidirect
14. #26026932	C₂	semidirect
15. #26026767	C₂	semidirect
16. #26026639	C₂	semidirect
17. #26026639	C₂	semidirect
18. #26026248	C₂	semidirect
19. #26026241	C₂	semidirect
20. #26025857	C₂	semidirect
21. #26025761	C₂	semidirect
22. #26025362	C₂	semidirect
23. #26025139	C₂	semidirect
24. #26024484	C₂	semidirect
25. #26024434	C₂	semidirect
26. #26023960	C₂	semidirect
27. #26023633	C₂	semidirect
28. #26023043	C₂	semidirect
29. #26022848	C₂	semidirect
30. #26022714	C₂	semidirect
34. C₂×#15668005	C₂²	semidirect
35. C₂×#15668002	C₂²	semidirect
36. C₂×#15668002	C₂²	semidirect
41. C₂×#15667968	C₂²	semidirect
43. C₈₉⋊#401	C₂²	semidirect
44. #19151540	C₂²	semidirect
45. #19151539	C₂²	semidirect
46. #19151537	C₂²	semidirect
47. #19151536	C₂²	semidirect
51. #19151534	C₂²	semidirect
52. #19151534	C₂²	semidirect
53. #19151532	C₂²	semidirect
54. #19151531	C₂²	semidirect
55. #19151529	C₂²	semidirect
58. #19151526	C₂²	semidirect
59. #19151526	C₂²	semidirect
69. #19151521	C₂²	semidirect
70. #19151521	C₂²	semidirect
83. #19151512	C₂²	semidirect
84. #19151512	C₂²	semidirect
91. #19151501	C₂²	semidirect
92. #19151497	C₂²	semidirect
93. #19151496	C₂²	semidirect
94. #19151496	C₂²	semidirect
95. #19151495	C₂²	semidirect
96. #19151495	C₂²	semidirect
97. #19151495	C₂²	semidirect
98. #19151495	C₂²	semidirect
99. #19151494	C₂²	semidirect
100. #19151494	C₂²	semidirect
101. #19151493	C₂²	semidirect
102. #19151493	C₂²	semidirect
113. #19151492	C₂²	semidirect
114. #19151492	C₂²	semidirect
115. #19151492	C₂²	semidirect
120. #19151491	C₂²	semidirect
121. #19151491	C₂²	semidirect
122. #19151491	C₂²	semidirect
123. #19151491	C₂²	semidirect
134. #19151486	C₂²	semidirect
135. #19151486	C₂²	semidirect
136. #19151486	C₂²	semidirect
137. #19151485	C₂²	semidirect
138. #19151485	C₂²	semidirect
139. #19151484	C₂²	semidirect
140. #19151483	C₂²	semidirect
141. #19151482	C₂²	semidirect
142. #19151481	C₂²	semidirect
143. #19151480	C₂²	semidirect
144. #19151480	C₂²	semidirect
145. #19151480	C₂²	semidirect
146. #19151479	C₂²	semidirect
147. #19151479	C₂²	semidirect
151. #19151478	C₂²	semidirect
153. #19151471	C₂²	semidirect
154. #19151471	C₂²	semidirect
155. #19151471	C₂²	semidirect
156. #19151470	C₂²	semidirect
157. #19151467	C₂²	semidirect
165. C₄⋊C₄×Dic₈₉	C₂²	semidirect
166. #19151449	C₂²	semidirect
169. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
170. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
171. C₄²×Dic₈₉	C₂²	semidirect
778. C₈₉	#36990	semidirect

Maximal subgroups

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

subgroup	index
#26028643	2
#26028616	2
#26028191	2
#26028156	2
#26028149	2
#26028085	2
#26027434	2
#26027343	2
#26027289	2
#26027199	2
#26027187	2
#26027098	2
#26027003	2
#26026932	2
#26026767	2
#26026639	2
#26026248	2
#26026241	2
#26025857	2
#26025761	2
#26025362	2
#26025139	2
#26024484	2
#26024434	2
#26023960	2
#26023633	2
#26023043	2
#26022848	2
#26022714	2
C₈₉×#2678	2
#36990	89