Subgroups — #36726894

Order 22784.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26025123	C₂	1	1	yes	maximal, characteristic, complemented
2	#26025053	C₂	1	1	yes	maximal, characteristic, complemented
3	#26025051	C₂	1	1	yes	maximal, characteristic, complemented
4	#26024859	C₂	1	1	yes	maximal, characteristic, complemented
5	#26024763	C₂	1	1	yes	maximal, characteristic, complemented
6	#26024673	C₂	1	1	yes	maximal, characteristic
7	#26024588	C₂	1	1	yes	maximal, characteristic
8	#26024470	C₂	1	1	yes	maximal, characteristic
9	#26024468	C₂	1	1	yes	maximal, characteristic
10	#26024430	C₂	1	1	yes	maximal, characteristic
11	#26024428	C₂	1	1	yes	maximal, characteristic
12	#26024112	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024023	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023850	C₂	1	1	yes	maximal, characteristic
15	#26023750	C₂	1	1	yes	maximal, characteristic
16	#26023558	C₂	1	1	yes	maximal, characteristic, complemented
17	#26023558	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023551	C₂	1	1	yes	maximal, characteristic
19	#26023551	C₂	1	1	yes	maximal, characteristic
20	#26022823	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022811	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022809	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022809	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022802	C₂	1	1	yes	maximal, characteristic
25	#26022800	C₂	1	1	yes	maximal, characteristic
26	#26022786	C₂	1	1	yes	maximal, characteristic
27	#26022786	C₂	1	1	yes	maximal, characteristic
28	#26022725	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#15667977	C₂	1	1	yes	maximal, characteristic, complemented
30	#26022591	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2533	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#15668011	C₂²	1	1	yes	characteristic
33	C₂×#15668007	C₂²	1	1	yes	characteristic
34	C₂×#15668006	C₂²	1	1	yes	characteristic
35	C₂×#15668003	C₂²	1	1	yes	characteristic
36	C₂×#15668002	C₂²	1	1	yes	characteristic
37	C₂×#15668002	C₂²	1	1	yes	characteristic
38	C₂×#15667990	C₂²	1	1	yes	characteristic
39	C₂×#15667990	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
41	C₂×#15667977	C₂²	1	1	yes	characteristic
42	C₂×#15667977	C₂²	1	1	yes	characteristic
43	C₂×#15667977	C₂²	1	1	yes	characteristic
44	C₂×#15667969	C₂²	1	1	yes	characteristic
45	C₂×#15667969	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
47	C₈₉⋊#401	C₂²	1	1	yes	characteristic
48	C₈₉⋊#401	C₂²	1	1	yes	characteristic
49	#19151540	C₂²	1	1	yes	characteristic
50	#19151540	C₂²	1	1	yes	characteristic
51	#19151540	C₂²	1	1	yes	characteristic
52	#19151540	C₂²	1	1	yes	characteristic
53	#19151539	C₂²	1	1	yes	characteristic
54	#19151539	C₂²	1	1	yes	characteristic
55	#19151539	C₂²	1	1	yes	characteristic
56	#19151539	C₂²	1	1	yes	characteristic
57	#19151538	C₂²	1	1	yes	characteristic
58	#19151538	C₂²	1	1	yes	characteristic
59	#19151532	C₂²	1	1	yes	characteristic
60	#19151532	C₂²	1	1	yes	characteristic
61	#19151532	C₂²	1	1	yes	characteristic
62	#19151532	C₂²	1	1	yes	characteristic
63	#19151531	C₂²	1	1	yes	characteristic
64	#19151531	C₂²	1	1	yes	characteristic
65	#19151529	C₂²	1	1	yes	characteristic
66	#19151529	C₂²	1	1	yes	characteristic
67	#19151527	C₂²	1	1	yes	characteristic
68	#19151527	C₂²	1	1	yes	characteristic
69	#19151525	C₂²	1	1	yes	characteristic
70	#19151525	C₂²	1	1	yes	characteristic
71	#19151524	C₂²	1	1	yes	characteristic
72	#19151524	C₂²	1	1	yes	characteristic
73	#19151520	C₂²	1	1	yes	characteristic
74	#19151520	C₂²	1	1	yes	characteristic
75	#19151502	C₂²	1	1	yes	characteristic
76	#19151502	C₂²	1	1	yes	characteristic
77	#19151502	C₂²	1	1	yes	characteristic
78	#19151502	C₂²	1	1	yes	characteristic
79	#19151502	C₂²	1	1	yes	characteristic
80	#19151502	C₂²	1	1	yes	characteristic
81	#19151496	C₂²	1	1	yes	characteristic
82	#19151496	C₂²	1	1	yes	characteristic
83	#19151495	C₂²	1	1	yes	characteristic
84	#19151495	C₂²	1	1	yes	characteristic
85	#19151495	C₂²	1	1	yes	characteristic
86	#19151495	C₂²	1	1	yes	characteristic
87	#19151495	C₂²	1	1	yes	characteristic
88	#19151493	C₂²	1	1	yes	characteristic
89	#19151493	C₂²	1	1	yes	characteristic
90	#19151493	C₂²	1	1	yes	characteristic
91	#19151493	C₂²	1	1	yes	characteristic
92	#19151493	C₂²	1	1	yes	characteristic
93	#19151490	C₂²	1	1	yes	characteristic
94	#19151489	C₂²	1	1	yes	characteristic
95	#19151488	C₂²	1	1	yes	characteristic
96	#19151487	C₂²	1	1	yes	characteristic
97	#19151487	C₂²	1	1	yes	characteristic
98	#19151487	C₂²	1	1	yes	characteristic
99	#19151485	C₂²	1	1	yes	characteristic
100	#19151485	C₂²	1	1	yes	characteristic
101	#19151485	C₂²	1	1	yes	characteristic
102	#19151484	C₂²	1	1	yes	characteristic
103	#19151483	C₂²	1	1	yes	characteristic
104	#19151483	C₂²	1	1	yes	characteristic
105	#19151483	C₂²	1	1	yes	characteristic
106	#19151482	C₂²	1	1	yes	characteristic
107	#19151482	C₂²	1	1	yes	characteristic
108	#19151482	C₂²	1	1	yes	characteristic
109	#19151482	C₂²	1	1	yes	characteristic
110	#19151482	C₂²	1	1	yes	characteristic
111	#19151481	C₂²	1	1	yes	characteristic
112	#19151481	C₂²	1	1	yes	characteristic
113	#19151480	C₂²	1	1	yes	characteristic
114	#19151480	C₂²	1	1	yes	characteristic
115	#19151480	C₂²	1	1	yes	characteristic
116	#19151480	C₂²	1	1	yes	characteristic
117	#19151479	C₂²	1	1	yes	characteristic
118	#19151479	C₂²	1	1	yes	characteristic
119	#19151472	C₂²	1	1	yes	characteristic
120	#19151472	C₂²	1	1	yes	characteristic
121	#19151469	C₂²	1	1	yes	characteristic
122	#19151469	C₂²	1	1	yes	characteristic
123	#19151467	C₂²	1	1	yes	characteristic
124	#19151465	C₂²	1	1	yes	characteristic
125	#19151463	C₂²	1	1	yes	characteristic
126	#19151462	C₂²	1	1	yes	characteristic
127	#19151462	C₂²	1	1	yes	characteristic
128	#19151457	C₂²	1	1	yes	characteristic
129	#19151457	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
139	C₄×#13083553	C₂²	1	1	yes	characteristic
140	C₄×#13083553	C₂²	1	1	yes	characteristic
141	#19151449	C₂²	1	1	yes	characteristic
142	#19151449	C₂²	1	1	yes	characteristic
143	#19151449	C₂²	1	1	yes	characteristic
144	#19151449	C₂²	1	1	yes	characteristic
145	#19151449	C₂²	1	1	yes	characteristic
146	#19151449	C₂²	1	1	yes	characteristic
147	#19151449	C₂²	1	1	yes	characteristic
148	#19151449	C₂²	1	1	yes	characteristic
149	#19151449	C₂²	1	1	yes	characteristic
150	#19151449	C₂²	1	1	yes	characteristic
151	#19151449	C₂²	1	1	yes	characteristic
152	#19151449	C₂²	1	1	yes	characteristic
153	#19151449	C₂²	1	1	yes	characteristic
154	#19151449	C₂²	1	1	yes	characteristic
155	#19151449	C₂²	1	1	yes	characteristic
156	#19151449	C₂²	1	1	yes	characteristic
157	#19151445	C₂²	1	1	yes	characteristic
158	#19151445	C₂²	1	1	yes	characteristic
159	#19151445	C₂²	1	1	yes	characteristic
160	#19151445	C₂²	1	1	yes	characteristic
161	#19151445	C₂²	1	1	yes	characteristic
162	#19151445	C₂²	1	1	yes	characteristic
163	#19151445	C₂²	1	1	yes	characteristic
164	#19151445	C₂²	1	1	yes	characteristic
165	#19151444	C₂²	1	1	yes	characteristic
166	#19151443	C₂²	1	1	yes	characteristic
167	#19151443	C₂²	1	1	yes	characteristic
168	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic
169	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic
170	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic
171	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic
172	#400×C₈₉	C₂²	1	1	yes	characteristic
173	#400×C₈₉	C₂²	1	1	yes	characteristic
174	#400×C₈₉	C₂²	1	1	yes	characteristic
175	#400×C₈₉	C₂²	1	1	yes	characteristic
176	#389×C₈₉	C₂²	1	1	yes	characteristic
177	#389×C₈₉	C₂²	1	1	yes	characteristic
178	#387×C₈₉	C₂²	1	1	yes	characteristic
179	#387×C₈₉	C₂²	1	1	yes	characteristic
180	#387×C₈₉	C₂²	1	1	yes	characteristic
181	#387×C₈₉	C₂²	1	1	yes	characteristic
182	#387×C₈₉	C₂²	1	1	yes	characteristic
183	#387×C₈₉	C₂²	1	1	yes	characteristic
184	#383×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	#376×C₈₉	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
192	#15668011	—	2	4	no	—
193	#15668007	—	2	4	no	—
194	#15668006	—	2	4	no	—
195	#15668003	—	2	4	no	—
196	#15668002	—	2	4	no	—
197	#15668002	—	2	4	no	—
198	#15667990	—	2	4	no	—
199	#15667990	—	2	4	no	—
200	C₄×Dic₁₇₈	—	2	4	no	—
201	#15667977	—	2	4	no	—
202	#15667977	—	2	4	no	—
203	#15667977	—	2	4	no	—
204	#15667969	—	2	4	no	—
205	#15667969	—	2	4	no	—
206	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
214	C₂×#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×#13083553	C₂³	1	1	yes	characteristic
234	C₂×#13083553	C₂³	1	1	yes	characteristic
235	C₂×#13083553	C₂³	1	1	yes	characteristic
236	C₂×#13083553	C₂³	1	1	yes	characteristic
237	C₂×#13083553	C₂³	1	1	yes	characteristic
238	C₂×#13083553	C₂³	1	1	yes	characteristic
239	C₂×#13083553	C₂³	1	1	yes	characteristic
240	C₂×#13083553	C₂³	1	1	yes	characteristic
241	C₂×#13083553	C₂³	1	1	yes	characteristic
242	C₂×#13083551	C₂³	1	1	yes	characteristic
243	C₂×#13083551	C₂³	1	1	yes	characteristic
244	C₂×#13083551	C₂³	1	1	yes	characteristic
245	C₂×#13083551	C₂³	1	1	yes	characteristic
246	C₂×#13083551	C₂³	1	1	yes	characteristic
247	C₂×#13083551	C₂³	1	1	yes	characteristic
248	C₂×#13083551	C₂³	1	1	yes	characteristic
249	C₂×#13083551	C₂³	1	1	yes	characteristic
250	C₂×#13083551	C₂³	1	1	yes	characteristic
251	C₂×#13083551	C₂³	1	1	yes	characteristic
252	C₂×#13083551	C₂³	1	1	yes	characteristic
253	C₂×#13083551	C₂³	1	1	yes	characteristic
254	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×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	C₄²×D₈₉	—	2	4	no	—
282	#15667919	C₂³	1	1	yes	characteristic
283	#15667919	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#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	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
337	#95×C₈₉	C₂³	1	1	yes	characteristic
338	#95×C₈₉	C₂³	1	1	yes	characteristic
339	#95×C₈₉	C₂³	1	1	yes	characteristic
340	#95×C₈₉	C₂³	1	1	yes	characteristic
341	#95×C₈₉	C₂³	1	1	yes	characteristic
342	#95×C₈₉	C₂³	1	1	yes	characteristic
343	#95×C₈₉	C₂³	1	1	yes	characteristic
344	#95×C₈₉	C₂³	1	1	yes	characteristic
345	#95×C₈₉	C₂³	1	1	yes	characteristic
346	#95×C₈₉	C₂³	1	1	yes	characteristic
347	#95×C₈₉	C₂³	1	1	yes	characteristic
348	#95×C₈₉	C₂³	1	1	yes	characteristic
349	#95×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×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	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
358	C₂×Dic₁₇₈	—	2	2	no	—
359	C₂×Dic₁₇₈	—	2	2	no	—
360	C₂×Dic₁₇₈	—	2	2	no	—
361	C₂×Dic₁₇₈	—	2	2	no	—
362	C₂×Dic₁₇₈	—	2	2	no	—
363	C₂×Dic₁₇₈	#41	1	4	yes	—
364	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×D₈₉	—	2	2	no	—
380	C₂×C₄×D₈₉	—	2	2	no	—
381	C₂×C₄×D₈₉	—	2	2	no	—
382	C₂×C₄×D₈₉	—	2	2	no	—
383	C₂×C₄×D₈₉	—	2	2	no	—
384	C₂×C₄×D₈₉	—	2	2	no	—
385	C₂×C₄×D₈₉	—	2	2	no	—
386	C₂×C₄×D₈₉	—	2	2	no	—
387	C₂×C₄×D₈₉	—	2	2	no	—
388	C₄⋊Dic₈₉	—	2	2	no	—
389	C₄⋊Dic₈₉	—	2	2	no	—
390	C₄⋊Dic₈₉	—	2	2	no	—
391	C₄⋊Dic₈₉	—	2	2	no	—
392	C₄⋊Dic₈₉	—	2	2	no	—
393	C₄⋊Dic₈₉	—	2	2	no	—
394	C₄⋊Dic₈₉	—	2	2	no	—
395	C₄⋊Dic₈₉	—	2	2	no	—
396	#13083553	—	2	2	no	—
397	#13083553	—	2	2	no	—
398	#13083553	—	2	2	no	—
399	#13083553	—	2	2	no	—
400	#13083553	—	2	2	no	—
401	#13083553	—	2	2	no	—
402	#13083553	—	2	2	no	—
403	#13083553	—	2	2	no	—
404	#13083553	—	2	2	no	—
405	#13083553	—	2	2	no	—
406	#13083553	—	2	2	no	—
407	#13083553	—	2	2	no	—
408	#13083553	—	2	2	no	—
409	#13083553	—	2	2	no	—
410	#13083553	—	2	2	no	—
411	#13083553	—	2	2	no	—
412	#13083553	—	2	2	no	—
413	#13083553	—	2	2	no	—
414	#13083553	—	2	2	no	—
415	#13083553	—	2	2	no	—
416	#13083553	—	2	2	no	—
417	#13083553	—	2	2	no	—
418	#13083553	—	2	2	no	—
419	#13083553	—	2	2	no	—
420	#13083553	—	2	2	no	—
421	#13083553	—	2	2	no	—
422	#13083553	#41	1	4	yes	—
423	#13083553	#41	1	4	yes	—
424	#13083551	—	2	2	no	—
425	#13083551	—	2	2	no	—
426	#13083551	—	2	2	no	—
427	#13083551	—	2	2	no	—
428	#13083551	—	2	2	no	—
429	#13083551	—	2	2	no	—
430	#13083551	—	2	2	no	—
431	#13083551	—	2	2	no	—
432	#13083551	—	2	2	no	—
433	#13083551	—	2	2	no	—
434	#13083551	—	2	2	no	—
435	#13083551	#41	1	4	yes	—
436	C₄×Dic₈₉	—	2	2	no	—
437	C₄×Dic₈₉	—	2	2	no	—
438	C₄×Dic₈₉	—	2	2	no	—
439	C₄×Dic₈₉	—	2	2	no	—
440	C₄×Dic₈₉	—	2	2	no	—
441	C₄×Dic₈₉	—	2	2	no	—
442	C₄×Dic₈₉	—	2	2	no	—
443	C₄×Dic₈₉	—	2	2	no	—
444	C₄×Dic₈₉	—	2	2	no	—
445	C₄×Dic₈₉	—	2	2	no	—
446	C₄×Dic₈₉	—	2	2	no	—
447	C₄×Dic₈₉	—	2	2	no	—
448	C₄×Dic₈₉	—	2	2	no	—
449	C₄×Dic₈₉	—	2	2	no	—
450	C₄×Dic₈₉	—	2	2	no	—
451	C₄×Dic₈₉	—	2	2	no	—
452	C₄×Dic₈₉	—	2	2	no	—
453	C₄×Dic₈₉	—	2	2	no	—
454	C₄×Dic₈₉	—	2	2	no	—
455	C₄×Dic₈₉	—	2	2	no	—
456	C₄×Dic₈₉	—	2	2	no	—
457	C₄×Dic₈₉	—	2	2	no	—
458	C₄×Dic₈₉	—	2	2	no	—
459	C₄×Dic₈₉	—	2	2	no	—
460	C₄×Dic₈₉	—	2	2	no	—
461	C₄×Dic₈₉	—	2	2	no	—
462	C₄×Dic₈₉	#41	1	4	yes	—
463	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
478	C₄⋊C₄×C₈₉	—	2	2	no	—
479	C₄⋊C₄×C₈₉	—	2	2	no	—
480	C₄⋊C₄×C₈₉	—	2	2	no	—
481	C₄⋊C₄×C₈₉	—	2	2	no	—
482	C₄⋊C₄×C₈₉	—	2	2	no	—
483	C₄⋊C₄×C₈₉	—	2	2	no	—
484	C₄⋊C₄×C₈₉	—	2	2	no	—
485	C₄⋊C₄×C₈₉	—	2	2	no	—
486	C₄⋊C₄×C₈₉	—	2	2	no	—
487	C₄⋊C₄×C₈₉	—	2	2	no	—
488	C₄²×C₈₉	—	2	2	no	—
489	C₄²×C₈₉	—	2	2	no	—
490	C₄²×C₈₉	—	2	2	no	—
491	C₄²×C₈₉	—	2	2	no	—
492	C₄²×C₈₉	—	2	2	no	—
493	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
494	C₂²×D₈₉	—	2	1	no	—
495	C₂²×D₈₉	—	2	1	no	—
496	C₂²×D₈₉	—	2	1	no	—
497	C₂²×D₈₉	—	2	1	no	—
498	C₂²×D₈₉	—	2	1	no	—
499	C₂²×D₈₉	—	2	1	no	—
500	C₂²×D₈₉	C₂×#41	1	2	yes	—
501	C₂×C₄×C₈₉	—	2	1	no	—
502	C₂×C₄×C₈₉	—	2	1	no	—
503	C₂×C₄×C₈₉	—	2	1	no	—
504	C₂×C₄×C₈₉	—	2	1	no	—
505	C₂×C₄×C₈₉	—	2	1	no	—
506	C₂×C₄×C₈₉	—	2	1	no	—
507	C₂×C₄×C₈₉	—	2	1	no	—
508	C₂×C₄×C₈₉	—	2	1	no	—
509	C₂×C₄×C₈₉	—	2	1	no	—
510	C₂×C₄×C₈₉	—	2	1	no	—
511	C₂×C₄×C₈₉	—	2	1	no	—
512	C₂×C₄×C₈₉	—	2	1	no	—
513	C₂×C₄×C₈₉	—	2	1	no	—
514	C₂×C₄×C₈₉	—	2	1	no	—
515	C₂×C₄×C₈₉	—	2	1	no	—
516	C₂×C₄×C₈₉	—	2	1	no	—
517	C₂×C₄×C₈₉	—	2	1	no	—
518	C₂×C₄×C₈₉	—	2	1	no	—
519	C₂×C₄×C₈₉	—	2	1	no	—
520	C₂×C₄×C₈₉	—	2	1	no	—
521	C₂×C₄×C₈₉	—	2	1	no	—
522	C₂×C₄×C₈₉	—	2	1	no	—
523	C₂×C₄×C₈₉	—	2	1	no	—
524	C₂×C₄×C₈₉	—	2	1	no	—
525	C₂×C₄×C₈₉	—	2	1	no	—
526	C₂×C₄×C₈₉	—	2	1	no	—
527	C₂×C₄×C₈₉	—	2	1	no	—
528	C₂×C₄×C₈₉	—	2	1	no	—
529	C₂×C₄×C₈₉	—	2	1	no	—
530	C₂×C₄×C₈₉	—	2	1	no	—
531	C₂×C₄×C₈₉	—	2	1	no	—
532	C₂×C₄×C₈₉	—	2	1	no	—
533	C₂×C₄×C₈₉	—	2	1	no	—
534	C₂×C₄×C₈₉	—	2	1	no	—
535	C₂×C₄×C₈₉	—	2	1	no	—
536	C₂×C₄×C₈₉	—	2	1	no	—
537	C₂×C₄×C₈₉	—	2	1	no	—
538	C₂×C₄×C₈₉	—	2	1	no	—
539	C₂×C₄×C₈₉	—	2	1	no	—
540	C₂×C₄×C₈₉	—	2	1	no	—
541	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
542	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
543	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
544	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
545	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
546	C₂×Dic₈₉	—	2	1	no	—
547	C₂×Dic₈₉	—	2	1	no	—
548	C₂×Dic₈₉	—	2	1	no	—
549	C₂×Dic₈₉	—	2	1	no	—
550	C₂×Dic₈₉	—	2	1	no	—
551	C₂×Dic₈₉	—	2	1	no	—
552	C₂×Dic₈₉	—	2	1	no	—
553	C₂×Dic₈₉	—	2	1	no	—
554	C₂×Dic₈₉	—	2	1	no	—
555	C₂×Dic₈₉	—	2	1	no	—
556	C₂×Dic₈₉	—	2	1	no	—
557	C₂×Dic₈₉	—	2	1	no	—
558	C₂×Dic₈₉	—	2	1	no	—
559	C₂×Dic₈₉	—	2	1	no	—
560	C₂×Dic₈₉	—	2	1	no	—
561	C₂×Dic₈₉	—	2	1	no	—
562	C₂×Dic₈₉	—	2	1	no	—
563	C₂×Dic₈₉	—	2	1	no	—
564	C₂×Dic₈₉	—	2	1	no	—
565	C₂×Dic₈₉	—	2	1	no	—
566	C₂×Dic₈₉	—	2	1	no	—
567	C₂×Dic₈₉	—	2	1	no	—
568	C₂×Dic₈₉	—	2	1	no	—
569	C₂×Dic₈₉	—	2	1	no	—
570	C₂×Dic₈₉	—	2	1	no	—
571	C₂×Dic₈₉	—	2	1	no	—
572	C₂×Dic₈₉	—	2	1	no	—
573	C₂×Dic₈₉	—	2	1	no	—
574	C₂×Dic₈₉	—	2	1	no	—
575	C₂×Dic₈₉	—	2	1	no	—
576	C₂×Dic₈₉	—	2	1	no	—
577	C₂×Dic₈₉	—	2	1	no	—
578	C₂×Dic₈₉	—	2	1	no	—
579	C₂×Dic₈₉	—	2	1	no	—
580	C₂×Dic₈₉	C₂×#41	1	2	yes	—
581	C₂×Dic₈₉	C₂×#41	1	2	yes	—
582	C₂×Dic₈₉	C₂×#41	1	2	yes	—
583	C₂×Dic₈₉	C₂×#41	1	2	yes	—
584	C₂×Dic₈₉	C₂×#41	1	2	yes	—
585	C₂×Dic₈₉	C₂×#41	1	2	yes	—
586	C₂×Dic₈₉	C₂×#41	1	2	yes	—
587	C₂×Dic₈₉	C₂×#41	1	2	yes	—
588	C₂×Dic₈₉	C₂×#41	1	2	yes	—
589	C₂×Dic₈₉	2₋¹⁺⁴	1	2	yes	—
590	C₂×Dic₈₉	2₋¹⁺⁴	1	2	yes	—
591	C₄×D₈₉	—	2	8	no	—
592	C₄×D₈₉	—	4	4	no	—
593	C₄×D₈₉	—	4	4	no	—
594	Dic₁₇₈	—	2	8	no	—
595	Dic₁₇₈	—	4	4	no	—
596	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
597	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
598	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
599	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
600	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
601	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
602	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
603	C₂×D₈₉	—	2	2	no	—
604	C₂×D₈₉	—	2	2	no	—
605	C₂×D₈₉	—	2	2	no	—
606	C₂×D₈₉	—	4	1	no	—
607	C₂×D₈₉	—	4	1	no	—
608	C₂×D₈₉	—	4	1	no	—
609	C₂×D₈₉	—	4	1	no	—
610	C₄×C₈₉	—	2	2	no	—
611	C₄×C₈₉	—	2	2	no	—
612	C₄×C₈₉	—	2	2	no	—
613	C₄×C₈₉	—	2	2	no	—
614	C₄×C₈₉	—	2	2	no	—
615	C₄×C₈₉	—	4	1	no	—
616	C₄×C₈₉	—	4	1	no	—
617	C₄×C₈₉	—	4	1	no	—
618	C₄×C₈₉	—	4	1	no	—
619	C₄×C₈₉	—	4	1	no	—
620	C₄×C₈₉	—	4	1	no	—
621	C₄×C₈₉	—	4	1	no	—
622	C₄×C₈₉	—	4	1	no	—
623	C₄×C₈₉	—	4	1	no	—
624	C₄×C₈₉	—	4	1	no	—
625	Dic₈₉	—	2	2	no	—
626	Dic₈₉	—	2	2	no	—
627	Dic₈₉	—	2	2	no	—
628	Dic₈₉	—	2	2	no	—
629	Dic₈₉	—	2	2	no	—
630	Dic₈₉	—	4	1	no	—
631	Dic₈₉	—	4	1	no	—
632	Dic₈₉	—	4	1	no	—
633	Dic₈₉	—	4	1	no	—
634	Dic₈₉	—	4	1	no	—
635	Dic₈₉	—	4	1	no	—
636	Dic₈₉	—	4	1	no	—
637	Dic₈₉	—	4	1	no	—
638	Dic₈₉	#529	1	4	yes	—
639	Dic₈₉	#541	1	4	yes	—
640	#34975	—	89	1	no	maximal, Sylow
641	C₂×C₈₉	C₂×#529	1	1	yes	characteristic
642	C₂×C₈₉	#3444	1	1	yes	characteristic
643	C₂×C₈₉	C₂×#541	1	1	yes	characteristic
644	C₂×C₈₉	#3482	1	1	yes	characteristic
645	C₂×C₈₉	#3482	1	1	yes	characteristic
646	C₂×C₈₉	#3482	1	1	yes	characteristic
647	C₂×C₈₉	#3482	1	1	yes	characteristic
648	D₈₉	—	4	2	no	—
649	#2533	—	89	1	no	—
650	#2533	D₈₉	1	1	yes	characteristic, complemented
651	#2528	—	89	1	no	—
652	#2528	—	89	1	no	—
653	#2514	—	89	1	no	—
654	#2506	—	89	1	no	—
655	#2496	—	89	1	no	—
656	#2489	—	89	1	no	—
657	#2478	—	89	1	no	—
658	#2478	—	89	1	no	—
659	#2475	—	89	1	no	—
660	#2475	—	89	1	no	—
661	#2453	—	89	1	no	—
662	#2446	—	89	1	no	—
663	#2429	—	89	1	no	—
664	#2421	—	89	1	no	—
665	#2402	—	89	1	no	—
666	#2402	—	89	1	no	—
667	#2401	—	89	1	no	—
668	#2401	—	89	1	no	—
669	C₄×C₄⋊Q₈	—	89	1	no	—
670	C₄×#125	—	89	1	no	—
671	C₄×#125	—	89	1	no	—
672	C₄×#125	—	89	1	no	—
673	C₄×#126	—	89	1	no	—
674	C₄×#126	—	89	1	no	—
675	C₄×C₂²⋊Q₈	—	89	1	no	—
676	C₄×C₂²⋊Q₈	—	89	1	no	—
677	#2295	—	89	1	no	—
678	C₄²×Q₈	—	89	1	no	—
679	C₄×#117	—	89	1	no	—
680	C₈₉	#34975	1	1	yes	characteristic, complemented, Sylow
681	C₂×C₄⋊Q₈	—	89	1	no	—
682	C₂×#126	—	89	1	no	—
683	C₂×#126	—	89	1	no	—
684	C₂×#125	—	89	1	no	—
685	C₂×#125	—	89	1	no	—
686	C₂×#125	—	89	1	no	—
687	C₂×C₂²⋊Q₈	—	89	1	no	—
688	C₂×C₂²⋊Q₈	—	89	1	no	—
689	C₂×C₄×Q₈	—	89	1	no	—
690	C₂×C₄×Q₈	—	89	1	no	—
691	C₂×C₄×Q₈	—	89	1	no	—
692	C₂×C₄×Q₈	—	89	1	no	—
693	C₂×#117	—	89	1	no	—
694	C₂×#117	—	89	1	no	—
695	C₂²×C₄²	—	89	1	no	—
696	#401	—	89	1	no	—
697	#401	—	89	1	no	—
698	#400	—	89	1	no	—
699	#400	—	89	1	no	—
700	#400	—	89	1	no	—
701	#400	—	89	1	no	—
702	#400	—	89	1	no	—
703	#400	—	89	1	no	—
704	#400	—	89	1	no	—
705	#400	—	89	1	no	—
706	#400	—	89	1	no	—
707	#400	—	89	1	no	—
708	#400	C₂×D₈₉	1	1	yes	characteristic
709	#400	C₂×D₈₉	1	1	yes	characteristic
710	#400	C₂×D₈₉	1	1	yes	characteristic
711	#400	C₂×D₈₉	1	1	yes	characteristic
712	#398	—	89	1	no	—
713	#398	—	89	1	no	—
714	#398	—	89	1	no	—
715	#398	—	89	1	no	—
716	#398	—	89	1	no	—
717	#398	—	89	1	no	—
718	#398	—	89	1	no	—
719	#398	—	89	1	no	—
720	#397	—	89	1	no	—
721	#397	—	89	1	no	—
722	#397	—	89	1	no	—
723	#397	—	89	1	no	—
724	#397	—	89	1	no	—
725	#397	—	89	1	no	—
726	#396	—	89	1	no	—
727	#396	—	89	1	no	—
728	#391	—	89	1	no	—
729	#391	—	89	1	no	—
730	#391	—	89	1	no	—
731	#391	—	89	1	no	—
732	#391	—	89	1	no	—
733	#391	—	89	1	no	—
734	#389	—	89	1	no	—
735	#389	—	89	1	no	—
736	#389	—	89	1	no	—
737	#389	—	89	1	no	—
738	#389	—	89	1	no	—
739	#389	—	89	1	no	—
740	#389	—	89	1	no	—
741	#389	—	89	1	no	—
742	#389	—	89	1	no	—
743	#389	—	89	1	no	—
744	#389	—	89	1	no	—
745	#389	—	89	1	no	—
746	#389	C₂×D₈₉	1	1	yes	characteristic
747	#389	C₂×D₈₉	1	1	yes	characteristic
748	#388	—	89	1	no	—
749	#388	—	89	1	no	—
750	#388	—	89	1	no	—
751	#388	—	89	1	no	—
752	#388	—	89	1	no	—
753	#388	—	89	1	no	—
754	#387	—	89	1	no	—
755	#387	—	89	1	no	—
756	#387	—	89	1	no	—
757	#387	—	89	1	no	—
758	#387	—	89	1	no	—
759	#387	—	89	1	no	—
760	#387	—	89	1	no	—
761	#387	—	89	1	no	—
762	#387	—	89	1	no	—
763	#387	—	89	1	no	—
764	#387	—	89	1	no	—
765	#387	—	89	1	no	—
766	#387	—	89	1	no	—
767	#387	—	89	1	no	—
768	#387	—	89	1	no	—
769	#387	—	89	1	no	—
770	#387	—	89	1	no	—
771	#387	—	89	1	no	—
772	#387	—	89	1	no	—
773	#387	—	89	1	no	—
774	#387	C₂×D₈₉	1	1	yes	characteristic
775	#387	C₂×D₈₉	1	1	yes	characteristic
776	#387	C₂×D₈₉	1	1	yes	characteristic
777	#387	C₂×D₈₉	1	1	yes	characteristic
778	#387	C₂×D₈₉	1	1	yes	characteristic
779	#387	C₂×D₈₉	1	1	yes	characteristic
780	#385	—	89	1	no	—
781	#385	—	89	1	no	—
782	#385	—	89	1	no	—
783	#385	—	89	1	no	—
784	#384	—	89	1	no	—
785	#383	—	89	1	no	—
786	#383	C₂×D₈₉	1	1	yes	characteristic
787	#382	—	89	1	no	—
788	#382	—	89	1	no	—
789	#382	—	89	1	no	—
790	#380	—	89	1	no	—
791	#380	—	89	1	no	—
792	C₄×C₄⋊C₄	—	89	1	no	—
793	C₄×C₄⋊C₄	—	89	1	no	—
794	C₄×C₄⋊C₄	—	89	1	no	—
795	C₄×C₄⋊C₄	—	89	1	no	—
796	C₄×C₄⋊C₄	—	89	1	no	—
797	C₄×C₄⋊C₄	—	89	1	no	—
798	C₄×C₄⋊C₄	—	89	1	no	—
799	C₄×C₄⋊C₄	—	89	1	no	—
800	C₄×C₄⋊C₄	—	89	1	no	—
801	C₄×C₄⋊C₄	—	89	1	no	—
802	C₄×C₄⋊C₄	—	89	1	no	—
803	C₄×C₄⋊C₄	—	89	1	no	—
804	C₄×C₄⋊C₄	—	89	1	no	—
805	C₄×C₄⋊C₄	—	89	1	no	—
806	C₄×C₄⋊C₄	—	89	1	no	—
807	C₄×C₄⋊C₄	—	89	1	no	—
808	C₄×C₄⋊C₄	—	89	1	no	—
809	C₄×C₄⋊C₄	—	89	1	no	—
810	C₄×C₄⋊C₄	—	89	1	no	—
811	C₄×C₄⋊C₄	—	89	1	no	—
812	C₄×C₄⋊C₄	—	89	1	no	—
813	C₄×C₄⋊C₄	—	89	1	no	—
814	C₄×C₄⋊C₄	—	89	1	no	—
815	C₄×C₄⋊C₄	—	89	1	no	—
816	C₄×C₄⋊C₄	—	89	1	no	—
817	C₄×C₄⋊C₄	—	89	1	no	—
818	C₄×C₄⋊C₄	—	89	1	no	—
819	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
820	C₄×C₂²⋊C₄	—	89	1	no	—
821	C₄×C₂²⋊C₄	—	89	1	no	—
822	C₄×C₂²⋊C₄	—	89	1	no	—
823	C₄×C₂²⋊C₄	—	89	1	no	—
824	C₄×C₂²⋊C₄	—	89	1	no	—
825	C₄×C₂²⋊C₄	—	89	1	no	—
826	C₄×C₂²⋊C₄	—	89	1	no	—
827	C₄×C₂²⋊C₄	—	89	1	no	—
828	#376	—	89	1	no	—
829	#376	—	89	1	no	—
830	#376	—	89	1	no	—
831	#376	C₂×D₈₉	1	1	yes	characteristic
832	C₄³	—	89	1	no	—
833	C₄³	—	89	1	no	—
834	C₄³	—	89	1	no	—
835	C₄³	—	89	1	no	—
836	C₂²×Q₈	—	89	1	no	—
837	C₂²×Q₈	—	89	1	no	—
838	C₂³×C₄	—	89	1	no	—
839	C₂³×C₄	—	89	1	no	—
840	C₂³×C₄	—	89	1	no	—
841	C₄⋊Q₈	—	178	4	no	—
842	#126	—	178	4	no	—
843	#126	—	178	4	no	—
844	#125	—	178	4	no	—
845	#125	—	178	4	no	—
846	#125	—	178	4	no	—
847	C₂²⋊Q₈	—	178	4	no	—
848	C₂²⋊Q₈	—	178	4	no	—
849	C₄×Q₈	—	178	4	no	—
850	C₄×Q₈	—	178	4	no	—
851	C₄×Q₈	—	178	4	no	—
852	C₄×Q₈	—	178	4	no	—
853	#117	—	178	4	no	—
854	#117	—	178	4	no	—
855	C₂×C₄⋊C₄	—	89	1	no	—
856	C₂×C₄⋊C₄	—	89	1	no	—
857	C₂×C₄⋊C₄	—	89	1	no	—
858	C₂×C₄⋊C₄	—	89	1	no	—
859	C₂×C₄⋊C₄	—	89	1	no	—
860	C₂×C₄⋊C₄	—	89	1	no	—
861	C₂×C₄⋊C₄	—	89	1	no	—
862	C₂×C₄⋊C₄	—	89	1	no	—
863	C₂×C₄⋊C₄	—	89	1	no	—
864	C₂×C₄⋊C₄	—	89	1	no	—
865	C₂×C₄⋊C₄	—	89	1	no	—
866	C₂×C₄⋊C₄	—	89	1	no	—
867	C₂×C₄⋊C₄	—	89	1	no	—
868	C₂×C₄⋊C₄	—	89	1	no	—
869	C₂×C₄⋊C₄	—	89	1	no	—
870	C₂×C₄⋊C₄	—	89	1	no	—
871	C₂×C₄⋊C₄	—	89	1	no	—
872	C₂×C₄⋊C₄	—	89	1	no	—
873	C₂×C₄⋊C₄	—	89	1	no	—
874	C₂×C₄⋊C₄	—	89	1	no	—
875	C₂×C₄⋊C₄	—	89	1	no	—
876	C₂×C₄⋊C₄	—	89	1	no	—
877	C₂×C₄⋊C₄	—	89	1	no	—
878	C₂×C₄⋊C₄	—	89	1	no	—
879	C₂×C₄⋊C₄	—	89	1	no	—
880	C₂×C₄⋊C₄	—	89	1	no	—
881	C₂×C₄⋊C₄	—	89	1	no	—
882	C₂×C₄⋊C₄	—	89	1	no	—
883	C₂×C₄⋊C₄	—	89	1	no	—
884	C₂×C₄⋊C₄	—	89	1	no	—
885	C₂×C₄⋊C₄	—	89	1	no	—
886	C₂×C₄⋊C₄	—	89	1	no	—
887	C₂×C₄⋊C₄	—	89	1	no	—
888	C₂×C₄⋊C₄	—	89	1	no	—
889	C₂×C₄⋊C₄	—	89	1	no	—
890	C₂×C₄⋊C₄	—	89	1	no	—
891	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	—	89	1	no	—
902	C₂×C₂²⋊C₄	—	89	1	no	—
903	C₂×C₂²⋊C₄	—	89	1	no	—
904	C₂×C₂²⋊C₄	—	89	1	no	—
905	C₂×C₂²⋊C₄	—	89	1	no	—
906	C₂×C₂²⋊C₄	—	89	1	no	—
907	C₂×C₂²⋊C₄	—	89	1	no	—
908	C₂×C₂²⋊C₄	—	89	1	no	—
909	C₂×C₂²⋊C₄	—	89	1	no	—
910	C₂×C₂²⋊C₄	—	89	1	no	—
911	C₂×C₂²⋊C₄	—	89	1	no	—
912	C₂×C₂²⋊C₄	—	89	1	no	—
913	C₂×C₄²	—	89	1	no	—
914	C₂×C₄²	—	89	1	no	—
915	C₂×C₄²	—	89	1	no	—
916	C₂×C₄²	—	89	1	no	—
917	C₂×C₄²	—	89	1	no	—
918	C₂×C₄²	—	89	1	no	—
919	C₂×C₄²	—	89	1	no	—
920	C₂×C₄²	—	89	1	no	—
921	C₂×C₄²	—	89	1	no	—
922	C₂×C₄²	—	89	1	no	—
923	C₂×C₄²	—	89	1	no	—
924	C₂×C₄²	—	89	1	no	—
925	C₂×C₄²	—	89	1	no	—
926	C₂×C₄²	—	89	1	no	—
927	C₂×C₄²	—	89	1	no	—
928	C₂×C₄²	—	89	1	no	—
929	C₂×C₄²	—	89	1	no	—
930	C₂×C₄²	—	89	1	no	—
931	C₂×C₄²	—	89	1	no	—
932	C₂×C₄²	—	89	1	no	—
933	C₂×C₄²	—	89	1	no	—
934	C₂×C₄²	—	89	1	no	—
935	C₂×C₄²	—	89	1	no	—
936	C₂×C₄²	—	89	1	no	—
937	C₂×C₄²	—	89	1	no	—
938	C₂×C₄²	—	89	1	no	—
939	C₂×C₄²	—	89	1	no	—
940	C₂×C₄²	—	178	4	no	—
941	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
942	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
946	#95	—	89	1	no	—
947	#95	—	89	1	no	—
948	#95	—	89	1	no	—
949	#95	—	89	1	no	—
950	#95	—	89	1	no	—
951	#95	—	89	1	no	—
952	#95	—	89	1	no	—
953	#95	—	89	1	no	—
954	#95	—	89	1	no	—
955	#95	—	89	1	no	—
956	#95	—	89	1	no	—
957	#95	—	89	1	no	—
958	#95	—	89	1	no	—
959	#95	—	89	1	no	—
960	#95	—	89	1	no	—
961	#95	—	89	1	no	—
962	#95	—	89	1	no	—
963	#95	—	89	1	no	—
964	#95	—	89	1	no	—
965	#95	—	89	1	no	—
966	#95	—	89	1	no	—
967	#95	—	89	1	no	—
968	#95	—	89	1	no	—
969	#95	—	89	1	no	—
970	#95	—	89	1	no	—
971	#95	—	89	1	no	—
972	#95	—	89	1	no	—
973	#95	—	89	1	no	—
974	#95	—	89	1	no	—
975	#95	—	89	1	no	—
976	#95	—	89	1	no	—
977	#95	—	89	1	no	—
978	#95	—	89	1	no	—
979	#95	—	89	1	no	—
980	#95	—	89	1	no	—
981	#95	—	89	1	no	—
982	#95	—	89	1	no	—
983	#95	—	89	1	no	—
984	#95	—	89	1	no	—
985	#95	—	89	1	no	—
986	#95	C₂²×D₈₉	1	1	yes	characteristic
987	#95	C₂²×D₈₉	1	1	yes	characteristic
988	#95	C₂²×D₈₉	1	1	yes	characteristic
989	#95	C₂²×D₈₉	1	1	yes	characteristic
990	#95	C₂²×D₈₉	1	1	yes	characteristic
991	#95	C₂²×D₈₉	1	1	yes	characteristic
992	#95	C₂²×D₈₉	1	1	yes	characteristic
993	#95	C₂²×D₈₉	1	1	yes	characteristic
994	#95	C₂²×D₈₉	1	1	yes	characteristic
995	#95	C₂²×D₈₉	1	1	yes	characteristic
996	#95	C₂²×D₈₉	1	1	yes	characteristic
997	#95	C₂²×D₈₉	1	1	yes	characteristic
998	#95	C₂²×D₈₉	1	1	yes	characteristic
999	#95	C₂²×D₈₉	1	1	yes	characteristic
1000	#95	C₂²×D₈₉	1	1	yes	characteristic
1001	#95	C₂²×D₈₉	1	1	yes	characteristic
1002	#95	C₂²×D₈₉	1	1	yes	characteristic
1003	#95	C₂²×D₈₉	1	1	yes	characteristic
1004	#95	C₂²×D₈₉	1	1	yes	characteristic
1005	#95	C₂²×D₈₉	1	1	yes	characteristic
1006	C₂⁴	—	89	1	no	—
1007	C₂×Q₈	—	89	4	no	—
1008	C₂×Q₈	—	178	2	no	—
1009	C₂×Q₈	—	178	2	no	—
1010	C₂×Q₈	—	178	2	no	—
1011	C₂×Q₈	—	178	2	no	—
1012	C₂×Q₈	—	178	2	no	—
1013	C₂²×C₄	—	89	1	no	—
1014	C₂²×C₄	—	89	1	no	—
1015	C₂²×C₄	—	89	1	no	—
1016	C₂²×C₄	—	89	1	no	—
1017	C₂²×C₄	—	89	1	no	—
1018	C₂²×C₄	—	89	1	no	—
1019	C₂²×C₄	—	89	1	no	—
1020	C₂²×C₄	—	89	1	no	—
1021	C₂²×C₄	—	89	1	no	—
1022	C₂²×C₄	—	89	1	no	—
1023	C₂²×C₄	—	89	1	no	—
1024	C₂²×C₄	—	89	1	no	—
1025	C₂²×C₄	—	89	1	no	—
1026	C₂²×C₄	—	89	1	no	—
1027	C₂²×C₄	—	89	1	no	—
1028	C₂²×C₄	—	178	2	no	—
1029	C₂²×C₄	—	178	2	no	—
1030	C₂²×C₄	—	178	2	no	—
1031	C₂²×C₄	—	178	2	no	—
1032	C₂²×C₄	—	178	2	no	—
1033	C₂²×C₄	—	178	2	no	—
1034	C₂²×C₄	—	178	2	no	—
1035	C₂²×C₄	—	178	2	no	—
1036	C₂²×C₄	—	178	2	no	—
1037	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	89	4	no	—
1063	C₄⋊C₄	—	89	4	no	—
1064	C₄⋊C₄	—	178	2	no	—
1065	C₄⋊C₄	—	178	2	no	—
1066	C₄⋊C₄	—	178	2	no	—
1067	C₄⋊C₄	—	178	2	no	—
1068	C₄⋊C₄	—	178	2	no	—
1069	C₄⋊C₄	—	178	2	no	—
1070	C₄⋊C₄	—	178	2	no	—
1071	C₄⋊C₄	—	178	2	no	—
1072	C₄⋊C₄	—	178	2	no	—
1073	C₄⋊C₄	—	178	2	no	—
1074	C₄⋊C₄	—	178	2	no	—
1075	C₄⋊C₄	—	178	2	no	—
1076	C₄⋊C₄	—	178	2	no	—
1077	C₄⋊C₄	—	178	2	no	—
1078	C₄⋊C₄	—	178	2	no	—
1079	C₄⋊C₄	—	178	2	no	—
1080	C₄⋊C₄	—	178	2	no	—
1081	C₄⋊C₄	—	178	2	no	—
1082	C₄⋊C₄	—	178	2	no	—
1083	C₄⋊C₄	—	178	2	no	—
1084	C₄⋊C₄	—	178	2	no	—
1085	C₄⋊C₄	—	178	2	no	—
1086	C₄⋊C₄	—	178	2	no	—
1087	C₄⋊C₄	—	178	2	no	—
1088	C₄⋊C₄	—	178	2	no	—
1089	C₄⋊C₄	—	178	2	no	—
1090	C₄⋊C₄	—	178	2	no	—
1091	C₄⋊C₄	—	178	2	no	—
1092	C₄⋊C₄	—	178	2	no	—
1093	C₄⋊C₄	—	178	2	no	—
1094	C₄⋊C₄	—	178	2	no	—
1095	C₄⋊C₄	—	178	2	no	—
1096	C₄⋊C₄	—	178	2	no	—
1097	C₄⋊C₄	—	178	2	no	—
1098	C₂²⋊C₄	—	89	4	no	—
1099	C₂²⋊C₄	—	178	2	no	—
1100	C₂²⋊C₄	—	178	2	no	—
1101	C₂²⋊C₄	—	178	2	no	—
1102	C₂²⋊C₄	—	178	2	no	—
1103	C₂²⋊C₄	—	178	2	no	—
1104	C₂²⋊C₄	—	178	2	no	—
1105	C₂²⋊C₄	—	178	2	no	—
1106	C₂²⋊C₄	—	178	2	no	—
1107	C₂²⋊C₄	—	178	2	no	—
1108	C₂²⋊C₄	—	178	2	no	—
1109	C₂²⋊C₄	—	178	2	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	2	no	—
1113	C₄²	—	2	2	no	—
1114	C₄²	—	2	2	no	—
1115	C₄²	—	89	4	no	—
1116	C₄²	—	178	2	no	—
1117	C₄²	—	178	2	no	—
1118	C₄²	—	178	2	no	—
1119	C₄²	—	178	2	no	—
1120	C₄²	—	178	2	no	—
1121	C₄²	—	178	2	no	—
1122	C₄²	—	178	2	no	—
1123	C₄²	—	178	2	no	—
1124	C₄²	—	178	2	no	—
1125	C₄²	—	178	2	no	—
1126	C₄²	—	178	2	no	—
1127	C₄²	—	178	2	no	—
1128	C₄²	—	178	2	no	—
1129	C₄²	—	178	2	no	—
1130	C₄²	—	178	2	no	—
1131	C₄²	—	178	2	no	—
1132	C₄²	—	178	2	no	—
1133	C₄²	—	178	2	no	—
1134	C₄²	—	178	2	no	—
1135	C₄²	—	178	2	no	—
1136	C₄²	—	178	2	no	—
1137	C₄²	—	178	2	no	—
1138	C₄²	—	178	2	no	—
1139	C₄²	—	178	2	no	—
1140	C₄²	—	178	2	no	—
1141	C₄²	—	178	2	no	—
1142	C₂³	—	89	2	no	—
1143	C₂³	—	178	1	no	—
1144	C₂³	—	178	1	no	—
1145	C₂³	—	178	1	no	—
1146	C₂³	—	178	1	no	—
1147	C₂³	—	178	1	no	—
1148	C₂³	—	178	1	no	—
1149	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1150	Q₈	—	356	4	no	—
1151	Q₈	—	178	8	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	89	2	no	—
1193	C₂×C₄	—	89	2	no	—
1194	C₂×C₄	—	89	2	no	—
1195	C₂×C₄	—	89	2	no	—
1196	C₂×C₄	—	89	2	no	—
1197	C₂×C₄	—	89	2	no	—
1198	C₂×C₄	—	89	2	no	—
1199	C₂×C₄	—	89	2	no	—
1200	C₂×C₄	—	89	2	no	—
1201	C₂×C₄	—	89	2	no	—
1202	C₂×C₄	—	89	2	no	—
1203	C₂×C₄	—	356	4	no	—
1204	C₂×C₄	—	356	4	no	—
1205	C₂×C₄	—	178	8	no	—
1206	C₂×C₄	—	178	1	no	—
1207	C₂×C₄	—	178	1	no	—
1208	C₂×C₄	—	178	1	no	—
1209	C₂×C₄	—	178	1	no	—
1210	C₂×C₄	—	178	1	no	—
1211	C₂×C₄	—	178	1	no	—
1212	C₂×C₄	—	178	1	no	—
1213	C₂×C₄	—	178	1	no	—
1214	C₂×C₄	—	178	1	no	—
1215	C₂×C₄	—	178	1	no	—
1216	C₂×C₄	—	178	1	no	—
1217	C₂×C₄	—	178	1	no	—
1218	C₂×C₄	—	178	1	no	—
1219	C₂×C₄	—	178	1	no	—
1220	C₂×C₄	—	178	1	no	—
1221	C₂×C₄	—	178	1	no	—
1222	C₂×C₄	—	178	1	no	—
1223	C₂×C₄	—	178	1	no	—
1224	C₂×C₄	—	178	1	no	—
1225	C₂×C₄	—	178	1	no	—
1226	C₂×C₄	—	178	1	no	—
1227	C₂×C₄	—	178	1	no	—
1228	C₂×C₄	—	178	1	no	—
1229	C₂×C₄	—	178	1	no	—
1230	C₂×C₄	—	178	1	no	—
1231	C₂×C₄	—	178	1	no	—
1232	C₂×C₄	—	178	1	no	—
1233	C₂×C₄	—	178	1	no	—
1234	C₂×C₄	—	178	1	no	—
1235	C₂×C₄	—	178	1	no	—
1236	C₂×C₄	—	178	1	no	—
1237	C₂×C₄	—	178	1	no	—
1238	C₂×C₄	—	178	1	no	—
1239	C₂×C₄	—	178	1	no	—
1240	C₂×C₄	#41×D₈₉	1	2	yes	—
1241	C₂×C₄	#41×D₈₉	1	2	yes	—
1242	C₂×C₄	#41×D₈₉	1	2	yes	—
1243	C₂×C₄	#41×D₈₉	1	2	yes	—
1244	C₂×C₄	#41×D₈₉	1	2	yes	—
1245	C₂²	—	356	1	no	—
1246	C₂²	—	356	1	no	—
1247	C₂²	—	356	1	no	—
1248	C₂²	—	356	1	no	—
1249	C₂²	—	178	2	no	—
1250	C₂²	—	178	2	no	—
1251	C₂²	—	178	2	no	—
1252	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1253	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1254	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1255	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1256	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1257	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1258	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	89	4	no	—
1275	C₄	—	89	4	no	—
1276	C₄	—	356	1	no	—
1277	C₄	—	356	1	no	—
1278	C₄	—	356	1	no	—
1279	C₄	—	356	1	no	—
1280	C₄	—	356	1	no	—
1281	C₄	—	356	1	no	—
1282	C₄	—	356	1	no	—
1283	C₄	—	356	1	no	—
1284	C₄	—	178	2	no	—
1285	C₄	—	178	2	no	—
1286	C₄	—	178	2	no	—
1287	C₄	—	178	2	no	—
1288	C₄	—	178	2	no	—
1289	C₂	—	356	2	no	—
1290	C₂	#529×D₈₉	1	1	yes	characteristic
1291	C₂	#26033546	1	1	yes	characteristic
1292	C₂	#541×D₈₉	1	1	yes	characteristic
1293	C₂	#26033866	1	1	yes	characteristic
1294	C₂	#26033866	1	1	yes	characteristic
1295	C₂	#26033866	1	1	yes	characteristic
1296	C₂	#26033871	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2533	C₂
prime radical	C₂³×D₈₉	C₂⁴
hypercenter	#2533	D₈₉
hypocenter	C₈₉	#34975
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2533

Complements

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

N	H ≅ G/N	type
1. #26025123	C₂	semidirect
2. #26025053	C₂	semidirect
3. #26025051	C₂	semidirect
4. #26024859	C₂	semidirect
5. #26024763	C₂	semidirect
12. #26024112	C₂	semidirect
13. #26024023	C₂	semidirect
16. #26023558	C₂	semidirect
17. #26023558	C₂	semidirect
20. #26022823	C₂	semidirect
21. #26022811	C₂	semidirect
22. #26022809	C₂	semidirect
23. #26022809	C₂	semidirect
28. #26022725	C₂	semidirect
29. C₄×#15667977	C₂	semidirect
31. C₈₉×#2533	C₂	semidirect
650. #2533	D₈₉	semidirect
680. C₈₉	#34975	semidirect

Maximal subgroups

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

subgroup	index
#26025123	2
#26025053	2
#26025051	2
#26024859	2
#26024763	2
#26024673	2
#26024588	2
#26024470	2
#26024468	2
#26024430	2
#26024428	2
#26024112	2
#26024023	2
#26023850	2
#26023750	2
#26023558	2
#26023551	2
#26022823	2
#26022811	2
#26022809	2
#26022802	2
#26022800	2
#26022786	2
#26022725	2
C₄×#15667977	2
#26022591	2
C₈₉×#2533	2
#34975	89