Subgroups — #36762885

Order 22784.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028569	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028560	C₂	1	1	yes	maximal, characteristic, complemented
3	#26027966	C₂	1	1	yes	maximal, characteristic, complemented
4	#26027931	C₂	1	1	yes	maximal, characteristic, complemented
5	#26027752	C₂	1	1	yes	maximal, characteristic, complemented
6	#26027750	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027458	C₂	1	1	yes	maximal, characteristic, complemented
8	#26027429	C₂	1	1	yes	maximal, characteristic, complemented
9	#26027426	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027409	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027403	C₂	1	1	yes	maximal, characteristic, complemented
12	#26027390	C₂	1	1	yes	maximal, characteristic, complemented
13	#26027321	C₂	1	1	yes	maximal, characteristic, complemented
14	#26027304	C₂	1	1	yes	maximal, characteristic, complemented
15	#26027169	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026792	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026770	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026725	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026069	C₂	1	1	yes	maximal, characteristic, complemented
20	#26026035	C₂	1	1	yes	maximal, characteristic, complemented
21	#26024747	C₂	1	1	yes	maximal, characteristic, complemented
22	#26024531	C₂	1	1	yes	maximal, characteristic, complemented
23	#26024078	C₂	1	1	yes	maximal, characteristic, complemented
24	#26023916	C₂	1	1	yes	maximal, characteristic, complemented
25	#26023729	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023650	C₂	1	1	yes	maximal, characteristic
27	#26023645	C₂	1	1	yes	maximal, characteristic
28	#26022912	C₂	1	1	yes	maximal, characteristic
29	#26022863	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2493	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#15668007	C₂²	1	1	yes	characteristic, complemented
33	C₂×#15668003	C₂²	1	1	yes	characteristic, complemented
34	C₂×#15667997	C₂²	1	1	yes	characteristic
35	C₂×#15667995	C₂²	1	1	yes	characteristic
36	C₂×#15667992	C₂²	1	1	yes	characteristic
37	C₂×#15667989	C₂²	1	1	yes	characteristic
38	C₂×#15667982	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
40	C₂²×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
41	C₂²×#13083551	C₂²	1	1	yes	characteristic
42	C₂²×#13083551	C₂²	1	1	yes	characteristic
43	C₂²×#13083551	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
46	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
47	#19151540	C₂²	1	1	yes	characteristic, complemented
48	#19151540	C₂²	1	1	yes	characteristic, complemented
49	#19151540	C₂²	1	1	yes	characteristic, complemented
50	#19151540	C₂²	1	1	yes	characteristic, complemented
51	#19151540	C₂²	1	1	yes	characteristic, complemented
52	#19151539	C₂²	1	1	yes	characteristic, complemented
53	#19151539	C₂²	1	1	yes	characteristic, complemented
54	#19151538	C₂²	1	1	yes	characteristic, complemented
55	#19151538	C₂²	1	1	yes	characteristic, complemented
56	#19151535	C₂²	1	1	yes	characteristic
57	#19151535	C₂²	1	1	yes	characteristic, complemented
58	#19151535	C₂²	1	1	yes	characteristic, complemented
59	#19151532	C₂²	1	1	yes	characteristic, complemented
60	#19151532	C₂²	1	1	yes	characteristic, complemented
61	#19151532	C₂²	1	1	yes	characteristic, complemented
62	#19151532	C₂²	1	1	yes	characteristic, complemented
63	#19151530	C₂²	1	1	yes	characteristic, complemented
64	#19151530	C₂²	1	1	yes	characteristic, complemented
65	#19151530	C₂²	1	1	yes	characteristic, complemented
66	#19151530	C₂²	1	1	yes	characteristic, complemented
67	#19151529	C₂²	1	1	yes	characteristic, complemented
68	#19151527	C₂²	1	1	yes	characteristic
69	#19151527	C₂²	1	1	yes	characteristic
70	#19151527	C₂²	1	1	yes	characteristic
71	#19151527	C₂²	1	1	yes	characteristic
72	#19151527	C₂²	1	1	yes	characteristic
73	#19151527	C₂²	1	1	yes	characteristic, complemented
74	#19151525	C₂²	1	1	yes	characteristic
75	#19151525	C₂²	1	1	yes	characteristic
76	#19151525	C₂²	1	1	yes	characteristic, complemented
77	#19151525	C₂²	1	1	yes	characteristic, complemented
78	#19151525	C₂²	1	1	yes	characteristic, complemented
79	#19151524	C₂²	1	1	yes	characteristic
80	#19151520	C₂²	1	1	yes	characteristic
81	#19151520	C₂²	1	1	yes	characteristic
82	#19151520	C₂²	1	1	yes	characteristic, complemented
83	#19151519	C₂²	1	1	yes	characteristic, complemented
84	#19151519	C₂²	1	1	yes	characteristic, complemented
85	#19151516	C₂²	1	1	yes	characteristic
86	#19151516	C₂²	1	1	yes	characteristic
87	#19151516	C₂²	1	1	yes	characteristic
88	#19151515	C₂²	1	1	yes	characteristic
89	#19151511	C₂²	1	1	yes	characteristic
90	#19151511	C₂²	1	1	yes	characteristic, complemented
91	#19151502	C₂²	1	1	yes	characteristic, complemented
92	#19151500	C₂²	1	1	yes	characteristic
93	#19151500	C₂²	1	1	yes	characteristic
94	#19151497	C₂²	1	1	yes	characteristic, complemented
95	#19151496	C₂²	1	1	yes	characteristic, complemented
96	#19151494	C₂²	1	1	yes	characteristic, complemented
97	#19151490	C₂²	1	1	yes	characteristic
98	#19151490	C₂²	1	1	yes	characteristic
99	#19151490	C₂²	1	1	yes	characteristic
100	#19151490	C₂²	1	1	yes	characteristic
101	#19151490	C₂²	1	1	yes	characteristic
102	#19151490	C₂²	1	1	yes	characteristic
103	#19151490	C₂²	1	1	yes	characteristic
104	#19151490	C₂²	1	1	yes	characteristic
105	#19151490	C₂²	1	1	yes	characteristic
106	#19151490	C₂²	1	1	yes	characteristic
107	#19151490	C₂²	1	1	yes	characteristic, complemented
108	#19151489	C₂²	1	1	yes	characteristic
109	#19151489	C₂²	1	1	yes	characteristic
110	#19151488	C₂²	1	1	yes	characteristic, complemented
111	#19151487	C₂²	1	1	yes	characteristic, complemented
112	#19151485	C₂²	1	1	yes	characteristic, complemented
113	#19151485	C₂²	1	1	yes	characteristic, complemented
114	#19151484	C₂²	1	1	yes	characteristic, complemented
115	#19151484	C₂²	1	1	yes	characteristic, complemented
116	#19151482	C₂²	1	1	yes	characteristic, complemented
117	#19151482	C₂²	1	1	yes	characteristic, complemented
118	#19151481	C₂²	1	1	yes	characteristic, complemented
119	#19151481	C₂²	1	1	yes	characteristic, complemented
120	#19151481	C₂²	1	1	yes	characteristic, complemented
121	#19151481	C₂²	1	1	yes	characteristic, complemented
122	#19151480	C₂²	1	1	yes	characteristic, complemented
123	#19151479	C₂²	1	1	yes	characteristic, complemented
124	#19151477	C₂²	1	1	yes	characteristic
125	#19151476	C₂²	1	1	yes	characteristic
126	#19151476	C₂²	1	1	yes	characteristic
127	#19151476	C₂²	1	1	yes	characteristic
128	#19151476	C₂²	1	1	yes	characteristic
129	#19151476	C₂²	1	1	yes	characteristic
130	#19151475	C₂²	1	1	yes	characteristic
131	#19151475	C₂²	1	1	yes	characteristic
132	#19151475	C₂²	1	1	yes	characteristic
133	#19151473	C₂²	1	1	yes	characteristic
134	#19151473	C₂²	1	1	yes	characteristic
135	#19151473	C₂²	1	1	yes	characteristic
136	#19151473	C₂²	1	1	yes	characteristic
137	#19151472	C₂²	1	1	yes	characteristic
138	#19151472	C₂²	1	1	yes	characteristic
139	#19151472	C₂²	1	1	yes	characteristic
140	#19151472	C₂²	1	1	yes	characteristic
141	#19151472	C₂²	1	1	yes	characteristic
142	#19151472	C₂²	1	1	yes	characteristic
143	#19151472	C₂²	1	1	yes	characteristic, complemented
144	#19151471	C₂²	1	1	yes	characteristic
145	#19151470	C₂²	1	1	yes	characteristic
146	#19151470	C₂²	1	1	yes	characteristic
147	#19151470	C₂²	1	1	yes	characteristic
148	#19151469	C₂²	1	1	yes	characteristic
149	#19151469	C₂²	1	1	yes	characteristic
150	#19151469	C₂²	1	1	yes	characteristic
151	#19151469	C₂²	1	1	yes	characteristic, complemented
152	#19151465	C₂²	1	1	yes	characteristic, complemented
153	#19151464	C₂²	1	1	yes	characteristic, complemented
154	#19151463	C₂²	1	1	yes	characteristic, complemented
155	#19151461	C₂²	1	1	yes	characteristic
156	#19151460	C₂²	1	1	yes	characteristic
157	#19151460	C₂²	1	1	yes	characteristic
158	#19151460	C₂²	1	1	yes	characteristic
159	#19151460	C₂²	1	1	yes	characteristic, complemented
160	#19151458	C₂²	1	1	yes	characteristic
161	#19151457	C₂²	1	1	yes	characteristic
162	#19151457	C₂²	1	1	yes	characteristic
163	#19151457	C₂²	1	1	yes	characteristic
164	#19151457	C₂²	1	1	yes	characteristic
165	#19151457	C₂²	1	1	yes	characteristic, complemented
166	#19151456	C₂²	1	1	yes	characteristic
167	#19151455	C₂²	1	1	yes	characteristic
168	#19151455	C₂²	1	1	yes	characteristic
169	#19151455	C₂²	1	1	yes	characteristic
170	#19151453	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic
172	#401×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#385×C₈₉	C₂²	1	1	yes	characteristic
180	#385×C₈₉	C₂²	1	1	yes	characteristic
181	#383×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#381×C₈₉	C₂²	1	1	yes	characteristic
183	#381×C₈₉	C₂²	1	1	yes	characteristic
184	#380×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
189	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
190	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₈₉	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	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
200	#15668007	—	4	2	no	—
201	#15668003	—	4	2	no	—
202	#15667997	—	4	2	no	—
203	#15667995	—	4	2	no	—
204	#15667992	—	4	2	no	—
205	#15667989	—	4	2	no	—
206	#15667982	—	2	4	no	—
207	C₄×C₂²⋊D₈₉	—	4	2	no	—
208	C₂×C₄⋊Dic₈₉	—	4	2	no	—
209	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
219	C₂×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×#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×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×#13083551	—	2	4	no	—
243	C₂×#13083551	—	4	2	no	—
244	C₂×#13083551	—	4	2	no	—
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×#13083551	C₂³	1	1	yes	characteristic
255	C₂×#13083551	C₂³	1	1	yes	characteristic
256	C₂×#13083551	C₂³	1	1	yes	characteristic
257	C₂×#13083551	C₂³	1	1	yes	characteristic
258	C₂×#13083551	C₂³	1	1	yes	characteristic
259	C₂×#13083551	C₂³	1	1	yes	characteristic
260	C₂×#13083551	C₂³	1	1	yes	characteristic
261	C₂×#13083551	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×#13083551	C₂³	1	1	yes	characteristic
274	C₂×#13083551	C₂³	1	1	yes	characteristic
275	C₂×#13083551	C₂³	1	1	yes	characteristic
276	C₂×#13083551	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂²⋊C₄×D₈₉	—	2	4	no	—
279	C₂²⋊C₄×D₈₉	—	4	2	no	—
280	C₂×C₄×Dic₈₉	—	4	2	no	—
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	#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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
325	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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×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	—	2	2	no	—
358	C₂³×D₈₉	—	2	2	no	—
359	C₂³×D₈₉	—	4	1	no	—
360	C₂³×D₈₉	—	4	1	no	—
361	C₂³×D₈₉	—	4	1	no	—
362	C₂³×D₈₉	—	4	1	no	—
363	C₂³×D₈₉	#41	1	4	yes	—
364	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
365	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
366	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
367	C₂×Dic₁₇₈	—	4	1	no	—
368	C₂×Dic₁₇₈	—	4	1	no	—
369	C₂×Dic₁₇₈	—	4	1	no	—
370	C₂×D₃₅₆	—	2	2	no	—
371	C₂×D₃₅₆	—	2	2	no	—
372	C₂×D₃₅₆	—	4	1	no	—
373	C₂×D₃₅₆	—	4	1	no	—
374	C₂×D₃₅₆	—	4	1	no	—
375	C₂×D₃₅₆	—	4	1	no	—
376	C₂×C₂²⋊D₈₉	—	2	2	no	—
377	C₂×C₂²⋊D₈₉	—	2	2	no	—
378	C₂×C₂²⋊D₈₉	—	2	2	no	—
379	C₂²×Dic₈₉	—	2	2	no	—
380	C₂²×Dic₈₉	—	2	2	no	—
381	C₂²×Dic₈₉	—	2	2	no	—
382	C₂²×Dic₈₉	—	4	1	no	—
383	C₂²×Dic₈₉	—	4	1	no	—
384	C₂²×Dic₈₉	—	4	1	no	—
385	C₂²×Dic₈₉	—	4	1	no	—
386	C₂²×Dic₈₉	—	4	1	no	—
387	C₂²×Dic₈₉	—	4	1	no	—
388	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×D₈₉	—	2	2	no	—
402	C₂×C₄×D₈₉	—	2	2	no	—
403	C₂×C₄×D₈₉	—	4	1	no	—
404	C₂×C₄×D₈₉	—	4	1	no	—
405	C₂×C₄×D₈₉	—	4	1	no	—
406	C₂×C₄×D₈₉	—	4	1	no	—
407	C₂×C₄×D₈₉	—	4	1	no	—
408	C₂×C₄×D₈₉	—	4	1	no	—
409	C₂×C₄×D₈₉	—	4	1	no	—
410	C₂×C₄×D₈₉	—	4	1	no	—
411	C₂×C₄×D₈₉	—	4	1	no	—
412	C₂×C₄×D₈₉	—	4	1	no	—
413	C₂×C₄×D₈₉	—	4	1	no	—
414	C₂×C₄×D₈₉	—	4	1	no	—
415	C₂×C₄×D₈₉	—	4	1	no	—
416	C₄⋊Dic₈₉	—	2	2	no	—
417	C₄⋊Dic₈₉	—	4	1	no	—
418	C₄⋊Dic₈₉	—	4	1	no	—
419	C₄⋊Dic₈₉	—	4	1	no	—
420	C₄⋊Dic₈₉	—	4	1	no	—
421	C₄⋊Dic₈₉	—	4	1	no	—
422	C₄⋊Dic₈₉	—	4	1	no	—
423	C₄⋊Dic₈₉	—	4	1	no	—
424	C₄⋊Dic₈₉	—	4	1	no	—
425	C₄⋊Dic₈₉	—	4	1	no	—
426	C₄⋊Dic₈₉	—	4	1	no	—
427	C₄⋊Dic₈₉	—	4	1	no	—
428	C₄⋊Dic₈₉	—	4	1	no	—
429	C₄⋊Dic₈₉	—	4	1	no	—
430	C₄⋊Dic₈₉	—	4	1	no	—
431	#13083553	—	4	1	no	—
432	#13083553	—	4	1	no	—
433	#13083553	—	4	1	no	—
434	#13083553	—	4	1	no	—
435	#13083553	—	4	1	no	—
436	#13083553	—	4	1	no	—
437	#13083553	—	4	1	no	—
438	#13083553	—	4	1	no	—
439	#13083553	—	4	1	no	—
440	#13083553	—	4	1	no	—
441	#13083553	—	4	1	no	—
442	#13083553	—	4	1	no	—
443	#13083553	—	4	1	no	—
444	#13083553	—	4	1	no	—
445	#13083553	—	4	1	no	—
446	C₂²⋊Dic₈₉	—	2	2	no	—
447	C₂²⋊Dic₈₉	—	2	2	no	—
448	C₂²⋊Dic₈₉	—	2	2	no	—
449	#13083551	—	2	2	no	—
450	#13083551	—	2	2	no	—
451	#13083551	—	2	2	no	—
452	#13083551	—	2	2	no	—
453	#13083551	—	2	2	no	—
454	#13083551	—	2	2	no	—
455	#13083551	—	2	2	no	—
456	#13083551	—	2	2	no	—
457	#13083551	—	2	2	no	—
458	#13083551	—	2	2	no	—
459	#13083551	—	2	2	no	—
460	#13083551	—	4	1	no	—
461	#13083551	—	4	1	no	—
462	#13083551	—	4	1	no	—
463	#13083551	—	4	1	no	—
464	#13083551	—	4	1	no	—
465	#13083551	—	4	1	no	—
466	#13083551	—	4	1	no	—
467	#13083551	—	4	1	no	—
468	#13083551	—	4	1	no	—
469	#13083551	—	4	1	no	—
470	#13083551	—	4	1	no	—
471	#13083551	—	4	1	no	—
472	#13083551	—	4	1	no	—
473	#13083551	—	4	1	no	—
474	#13083551	—	4	1	no	—
475	#13083551	—	4	1	no	—
476	#13083551	—	4	1	no	—
477	#13083551	—	4	1	no	—
478	#13083551	—	4	1	no	—
479	#13083551	—	4	1	no	—
480	#13083551	—	4	1	no	—
481	#13083551	—	4	1	no	—
482	C₄×Dic₈₉	—	2	2	no	—
483	C₄×Dic₈₉	—	2	2	no	—
484	C₄×Dic₈₉	—	4	1	no	—
485	C₄×Dic₈₉	—	4	1	no	—
486	C₄×Dic₈₉	—	4	1	no	—
487	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₈₉	—	2	2	no	—
489	C₂²×C₄×C₈₉	—	2	2	no	—
490	C₂²×C₄×C₈₉	—	2	2	no	—
491	C₂²×C₄×C₈₉	—	2	2	no	—
492	C₂²×C₄×C₈₉	—	2	2	no	—
493	C₂²×C₄×C₈₉	—	2	2	no	—
494	C₂²×C₄×C₈₉	—	4	1	no	—
495	C₂²×C₄×C₈₉	—	4	1	no	—
496	C₂²×C₄×C₈₉	—	4	1	no	—
497	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₈₉	—	4	1	no	—
516	C₄⋊C₄×C₈₉	—	4	1	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	C₄²×C₈₉	—	4	1	no	—
522	C₄²×C₈₉	—	4	1	no	—
523	C₂³×C₈₉	—	2	1	no	—
524	C₂³×C₈₉	—	2	1	no	—
525	C₂³×C₈₉	—	2	1	no	—
526	C₂³×C₈₉	—	2	1	no	—
527	C₂³×C₈₉	C₂×#41	1	2	yes	—
528	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
529	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
530	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
531	C₂²×D₈₉	—	2	1	no	—
532	C₂²×D₈₉	—	2	1	no	—
533	C₂²×D₈₉	—	2	1	no	—
534	C₂²×D₈₉	—	2	1	no	—
535	C₂²×D₈₉	—	2	1	no	—
536	C₂²×D₈₉	—	2	1	no	—
537	C₂²×D₈₉	—	2	1	no	—
538	C₂²×D₈₉	—	2	1	no	—
539	C₂²×D₈₉	—	2	1	no	—
540	C₂²×D₈₉	—	2	1	no	—
541	C₂²×D₈₉	—	2	1	no	—
542	C₂²×D₈₉	—	2	1	no	—
543	C₂²×D₈₉	—	2	8	no	—
544	C₂²×D₈₉	—	2	1	no	—
545	C₂²×D₈₉	—	2	1	no	—
546	C₂²×D₈₉	—	2	1	no	—
547	C₂²×D₈₉	—	2	1	no	—
548	C₂²×D₈₉	—	2	1	no	—
549	C₂²×D₈₉	—	2	1	no	—
550	C₂²×D₈₉	—	2	1	no	—
551	C₂²×D₈₉	—	4	4	no	—
552	C₂²×D₈₉	—	4	4	no	—
553	C₂²×D₈₉	—	8	2	no	—
554	C₂²×D₈₉	—	8	2	no	—
555	C₂²×D₈₉	—	8	2	no	—
556	C₂²×D₈₉	—	8	2	no	—
557	C₂²×D₈₉	C₂×#41	1	2	yes	—
558	C₂²×D₈₉	C₂×#41	1	2	yes	—
559	C₂×C₄×C₈₉	—	2	1	no	—
560	C₂×C₄×C₈₉	—	2	1	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	—	2	1	no	—
567	C₂×C₄×C₈₉	—	2	1	no	—
568	C₂×C₄×C₈₉	—	2	1	no	—
569	C₂×C₄×C₈₉	—	2	1	no	—
570	C₂×C₄×C₈₉	—	2	1	no	—
571	C₂×C₄×C₈₉	—	2	1	no	—
572	C₂×C₄×C₈₉	—	2	1	no	—
573	C₂×C₄×C₈₉	—	2	1	no	—
574	C₂×C₄×C₈₉	—	2	1	no	—
575	C₂×C₄×C₈₉	—	2	1	no	—
576	C₂×C₄×C₈₉	—	2	1	no	—
577	C₂×C₄×C₈₉	—	2	1	no	—
578	C₂×C₄×C₈₉	—	2	1	no	—
579	C₂×C₄×C₈₉	—	2	1	no	—
580	C₂×C₄×C₈₉	—	2	1	no	—
581	C₂×C₄×C₈₉	—	2	1	no	—
582	C₂×C₄×C₈₉	—	2	1	no	—
583	C₂×C₄×C₈₉	—	2	1	no	—
584	C₂×C₄×C₈₉	—	2	1	no	—
585	C₂×C₄×C₈₉	—	2	1	no	—
586	C₂×C₄×C₈₉	—	2	1	no	—
587	C₂×C₄×C₈₉	—	2	1	no	—
588	C₂×C₄×C₈₉	—	2	1	no	—
589	C₂×C₄×C₈₉	—	2	1	no	—
590	C₂×C₄×C₈₉	—	2	1	no	—
591	C₂×C₄×C₈₉	—	2	1	no	—
592	C₂×C₄×C₈₉	—	2	1	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	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	—	4	4	no	—
601	C₂×C₄×C₈₉	—	4	4	no	—
602	C₂×C₄×C₈₉	—	8	2	no	—
603	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
604	C₂²⋊D₈₉	—	4	4	no	—
605	C₂×Dic₈₉	—	2	1	no	—
606	C₂×Dic₈₉	—	2	1	no	—
607	C₂×Dic₈₉	—	2	1	no	—
608	C₂×Dic₈₉	—	2	1	no	—
609	C₂×Dic₈₉	—	2	1	no	—
610	C₂×Dic₈₉	—	2	1	no	—
611	C₂×Dic₈₉	—	2	1	no	—
612	C₂×Dic₈₉	—	2	1	no	—
613	C₂×Dic₈₉	—	2	1	no	—
614	C₂×Dic₈₉	—	2	1	no	—
615	C₂×Dic₈₉	—	2	1	no	—
616	C₂×Dic₈₉	—	2	1	no	—
617	C₂×Dic₈₉	—	2	1	no	—
618	C₂×Dic₈₉	—	2	1	no	—
619	C₂×Dic₈₉	—	2	1	no	—
620	C₂×Dic₈₉	—	2	1	no	—
621	C₂×Dic₈₉	—	2	1	no	—
622	C₂×Dic₈₉	—	2	1	no	—
623	C₂×Dic₈₉	—	2	1	no	—
624	C₂×Dic₈₉	—	2	1	no	—
625	C₂×Dic₈₉	—	2	1	no	—
626	C₂×Dic₈₉	—	2	1	no	—
627	C₂×Dic₈₉	—	2	1	no	—
628	C₂×Dic₈₉	—	2	1	no	—
629	C₂×Dic₈₉	—	2	1	no	—
630	C₂×Dic₈₉	—	2	1	no	—
631	C₂×Dic₈₉	—	2	1	no	—
632	C₂×Dic₈₉	—	2	1	no	—
633	C₂×Dic₈₉	—	2	1	no	—
634	C₂×Dic₈₉	—	2	1	no	—
635	C₂×Dic₈₉	—	2	1	no	—
636	C₂×Dic₈₉	—	2	1	no	—
637	C₂×Dic₈₉	—	2	1	no	—
638	C₂×Dic₈₉	—	2	1	no	—
639	C₂×Dic₈₉	—	2	1	no	—
640	C₂×Dic₈₉	—	2	1	no	—
641	C₂×Dic₈₉	—	2	1	no	—
642	C₂×Dic₈₉	—	2	1	no	—
643	C₂×Dic₈₉	—	2	1	no	—
644	C₂×Dic₈₉	—	4	4	no	—
645	C₂×Dic₈₉	—	4	4	no	—
646	C₂×Dic₈₉	—	8	2	no	—
647	D₃₅₆	—	8	2	no	—
648	D₃₅₆	—	8	2	no	—
649	C₄×D₈₉	—	8	2	no	—
650	C₄×D₈₉	—	8	2	no	—
651	C₄×D₈₉	—	8	2	no	—
652	C₄×D₈₉	—	8	2	no	—
653	C₄×D₈₉	—	8	2	no	—
654	Dic₁₇₈	—	8	2	no	—
655	C₂²×C₈₉	—	2	2	no	—
656	C₂²×C₈₉	—	2	2	no	—
657	C₂²×C₈₉	—	2	2	no	—
658	C₂²×C₈₉	—	2	2	no	—
659	C₂²×C₈₉	—	2	2	no	—
660	C₂²×C₈₉	—	2	2	no	—
661	C₂²×C₈₉	#539	1	4	yes	—
662	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
663	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
664	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
665	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
666	C₂²×C₈₉	#585	1	1	yes	characteristic
667	C₂²×C₈₉	#585	1	1	yes	characteristic
668	C₂²×C₈₉	#585	1	1	yes	characteristic
669	C₂×D₈₉	—	2	2	no	—
670	C₂×D₈₉	—	2	2	no	—
671	C₂×D₈₉	—	2	2	no	—
672	C₂×D₈₉	—	2	2	no	—
673	C₂×D₈₉	—	2	2	no	—
674	C₂×D₈₉	—	2	2	no	—
675	C₂×D₈₉	—	4	1	no	—
676	C₂×D₈₉	—	4	1	no	—
677	C₂×D₈₉	—	4	1	no	—
678	C₂×D₈₉	—	4	1	no	—
679	C₂×D₈₉	—	4	1	no	—
680	C₂×D₈₉	—	4	1	no	—
681	C₂×D₈₉	—	4	1	no	—
682	C₂×D₈₉	—	4	1	no	—
683	C₂×D₈₉	—	4	1	no	—
684	C₂×D₈₉	—	4	1	no	—
685	C₂×D₈₉	—	4	1	no	—
686	C₂×D₈₉	—	4	1	no	—
687	C₂×D₈₉	—	4	1	no	—
688	C₂×D₈₉	—	4	1	no	—
689	C₂×D₈₉	—	4	1	no	—
690	C₂×D₈₉	—	8	8	no	—
691	C₄×C₈₉	—	2	2	no	—
692	C₄×C₈₉	—	4	1	no	—
693	C₄×C₈₉	—	4	1	no	—
694	C₄×C₈₉	—	4	1	no	—
695	C₄×C₈₉	—	4	1	no	—
696	C₄×C₈₉	—	4	1	no	—
697	C₄×C₈₉	—	4	1	no	—
698	C₄×C₈₉	—	4	1	no	—
699	C₄×C₈₉	—	4	1	no	—
700	C₄×C₈₉	—	4	1	no	—
701	C₄×C₈₉	—	4	1	no	—
702	C₄×C₈₉	—	4	1	no	—
703	C₄×C₈₉	—	4	1	no	—
704	C₄×C₈₉	—	4	1	no	—
705	Dic₈₉	—	4	1	no	—
706	Dic₈₉	—	4	1	no	—
707	Dic₈₉	—	4	1	no	—
708	Dic₈₉	—	4	1	no	—
709	Dic₈₉	—	4	1	no	—
710	Dic₈₉	—	4	1	no	—
711	Dic₈₉	—	4	1	no	—
712	Dic₈₉	—	4	1	no	—
713	Dic₈₉	—	4	1	no	—
714	Dic₈₉	—	4	1	no	—
715	Dic₈₉	—	4	1	no	—
716	Dic₈₉	—	4	1	no	—
717	Dic₈₉	—	4	1	no	—
718	#36780	—	89	1	no	maximal, Sylow
719	C₂×C₈₉	—	2	4	no	—
720	C₂×C₈₉	C₂×#539	1	1	yes	characteristic
721	C₂×C₈₉	#3491	1	1	yes	characteristic
722	C₂×C₈₉	#3505	1	1	yes	characteristic
723	C₂×C₈₉	#3535	1	1	yes	characteristic
724	C₂×C₈₉	#3542	1	1	yes	characteristic
725	C₂×C₈₉	#3545	1	1	yes	characteristic
726	C₂×C₈₉	#3564	1	1	yes	characteristic
727	D₈₉	—	4	2	no	—
728	D₈₉	—	4	2	no	—
729	D₈₉	—	8	1	no	—
730	#2852	—	89	1	no	—
731	#2851	—	89	1	no	—
732	#2786	—	89	1	no	—
733	#2782	—	89	1	no	—
734	#2770	—	89	1	no	—
735	#2770	—	89	1	no	—
736	#2747	—	89	1	no	—
737	#2746	—	89	1	no	—
738	#2745	—	89	1	no	—
739	#2744	—	89	1	no	—
740	#2744	—	89	1	no	—
741	#2743	—	89	1	no	—
742	#2738	—	89	1	no	—
743	#2737	—	89	1	no	—
744	#2723	—	89	1	no	—
745	#2695	—	89	1	no	—
746	#2694	—	89	1	no	—
747	#2690	—	89	1	no	—
748	#2627	—	89	1	no	—
749	#2623	—	89	1	no	—
750	#2505	—	89	1	no	—
751	#2493	D₈₉	1	1	yes	characteristic, complemented
752	#2483	—	89	1	no	—
753	#2450	—	89	1	no	—
754	#2437	—	89	1	no	—
755	#2419	—	89	1	no	—
756	#2412	—	89	1	no	—
757	#2412	—	89	1	no	—
758	#2321	—	89	1	no	—
759	#2315	—	89	1	no	—
760	C₂×#388	—	89	1	no	—
761	C₈₉	#36780	1	1	yes	characteristic, complemented, Sylow
762	C₂×#126	—	89	1	no	—
763	C₂×#125	—	89	1	no	—
764	C₂×#123	—	89	1	no	—
765	C₂×#123	—	89	1	no	—
766	C₂×C₂²⋊Q₈	—	89	1	no	—
767	C₂×C₂²⋊Q₈	—	89	1	no	—
768	C₂×#120	—	89	1	no	—
769	C₂×C₄×D₄	—	89	1	no	—
770	C₂²×C₄⋊C₄	—	89	1	no	—
771	C₂²×C₂²⋊C₄	—	89	1	no	—
772	C₂²×C₂²⋊C₄	—	89	1	no	—
773	C₂²×C₂²⋊C₄	—	89	1	no	—
774	C₂²×C₂²⋊C₄	—	89	1	no	—
775	C₂²×C₂²⋊C₄	—	89	1	no	—
776	C₂²×C₄²	—	89	1	no	—
777	#401	C₂×D₈₉	1	1	yes	characteristic, complemented
778	#400	—	89	1	no	—
779	#400	—	89	1	no	—
780	#400	—	89	1	no	—
781	#400	—	89	1	no	—
782	#400	—	89	1	no	—
783	#400	—	89	1	no	—
784	#400	—	89	1	no	—
785	#400	—	89	1	no	—
786	#400	—	89	1	no	—
787	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
788	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
789	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
790	#399	—	89	1	no	—
791	#399	—	89	1	no	—
792	#399	—	89	1	no	—
793	#398	—	89	1	no	—
794	#398	—	89	1	no	—
795	#398	—	89	1	no	—
796	#398	—	89	1	no	—
797	#398	—	89	1	no	—
798	#398	—	89	1	no	—
799	#398	—	89	1	no	—
800	#398	—	89	1	no	—
801	#398	—	89	1	no	—
802	#397	—	89	1	no	—
803	#397	—	89	1	no	—
804	#397	—	89	1	no	—
805	#397	—	89	1	no	—
806	#397	—	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	—	89	1	no	—
813	#397	—	89	1	no	—
814	#396	—	89	1	no	—
815	#396	—	89	1	no	—
816	#396	—	89	1	no	—
817	#395	—	89	1	no	—
818	#395	—	89	1	no	—
819	#394	—	89	1	no	—
820	#394	—	89	1	no	—
821	#394	—	89	1	no	—
822	#394	—	89	1	no	—
823	#393	—	89	1	no	—
824	#393	—	89	1	no	—
825	#391	—	89	1	no	—
826	#390	—	89	1	no	—
827	#390	—	89	1	no	—
828	#389	—	89	1	no	—
829	#389	—	89	1	no	—
830	#389	—	89	1	no	—
831	#388	—	89	1	no	—
832	#388	—	89	1	no	—
833	#388	—	89	1	no	—
834	#388	—	89	1	no	—
835	#388	—	89	1	no	—
836	#388	—	89	1	no	—
837	#388	—	89	1	no	—
838	#388	—	89	1	no	—
839	#388	—	89	1	no	—
840	#388	—	89	1	no	—
841	#388	—	89	1	no	—
842	#388	—	89	1	no	—
843	#388	—	89	1	no	—
844	#388	—	89	1	no	—
845	#388	—	89	1	no	—
846	#387	—	89	1	no	—
847	#387	—	89	1	no	—
848	#387	—	89	1	no	—
849	#387	—	89	1	no	—
850	#387	—	89	1	no	—
851	#387	—	89	1	no	—
852	#387	—	89	1	no	—
853	#387	—	89	1	no	—
854	#387	—	89	1	no	—
855	#387	—	89	1	no	—
856	#387	—	89	1	no	—
857	#387	—	89	1	no	—
858	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
859	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
860	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
861	#386	—	89	1	no	—
862	#386	—	89	1	no	—
863	#386	—	89	1	no	—
864	#386	—	89	1	no	—
865	#386	—	89	1	no	—
866	#386	—	89	1	no	—
867	#386	—	89	1	no	—
868	#386	—	89	1	no	—
869	#386	—	89	1	no	—
870	#385	—	89	1	no	—
871	#385	—	89	1	no	—
872	#385	—	89	1	no	—
873	#385	—	89	1	no	—
874	#385	—	89	1	no	—
875	#385	—	89	1	no	—
876	#385	—	89	1	no	—
877	#385	—	89	1	no	—
878	#385	—	89	1	no	—
879	#385	—	89	1	no	—
880	#385	—	89	1	no	—
881	#385	—	89	1	no	—
882	#385	—	89	1	no	—
883	#385	—	89	1	no	—
884	#385	—	89	1	no	—
885	#385	—	89	1	no	—
886	#385	—	89	1	no	—
887	#385	—	89	1	no	—
888	#385	—	89	1	no	—
889	#385	C₂×D₈₉	1	1	yes	characteristic
890	#385	C₂×D₈₉	1	1	yes	characteristic
891	#383	—	89	1	no	—
892	#383	C₂×D₈₉	1	1	yes	characteristic, complemented
893	#382	—	89	1	no	—
894	#382	—	89	1	no	—
895	#381	—	89	1	no	—
896	#381	—	89	1	no	—
897	#381	—	89	1	no	—
898	#381	—	89	1	no	—
899	#381	—	89	1	no	—
900	#381	C₂×D₈₉	1	1	yes	characteristic
901	#381	C₂×D₈₉	1	1	yes	characteristic
902	#380	—	89	1	no	—
903	#380	—	89	1	no	—
904	#380	—	89	1	no	—
905	#380	—	89	1	no	—
906	#380	—	89	1	no	—
907	#380	—	89	1	no	—
908	#380	—	89	1	no	—
909	#380	—	89	1	no	—
910	#380	—	89	1	no	—
911	#380	—	89	1	no	—
912	#380	C₂×D₈₉	1	1	yes	characteristic
913	#379	—	89	1	no	—
914	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
915	C₂×#95	—	89	1	no	—
916	C₂×#95	C₂×D₈₉	1	1	yes	characteristic
917	C₂⁵	—	89	1	no	—
918	C₂²×Q₈	—	89	1	no	—
919	C₂²×D₄	—	89	1	no	—
920	C₂²×D₄	—	89	1	no	—
921	C₂²×D₄	—	89	1	no	—
922	C₂³×C₄	—	89	1	no	—
923	C₂³×C₄	—	89	1	no	—
924	C₂³×C₄	—	89	1	no	—
925	C₂³×C₄	—	89	1	no	—
926	C₂³×C₄	—	89	1	no	—
927	C₂³×C₄	—	89	1	no	—
928	C₂³×C₄	—	89	1	no	—
929	C₂³×C₄	—	89	1	no	—
930	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
933	#126	—	356	2	no	—
934	#125	—	356	2	no	—
935	#123	—	356	2	no	—
936	#123	—	356	2	no	—
937	C₂²⋊Q₈	—	356	2	no	—
938	C₂²⋊Q₈	—	356	2	no	—
939	#120	—	178	4	no	—
940	C₄×D₄	—	356	2	no	—
941	C₂×C₄⋊C₄	—	89	1	no	—
942	C₂×C₄⋊C₄	—	89	1	no	—
943	C₂×C₄⋊C₄	—	89	1	no	—
944	C₂×C₄⋊C₄	—	89	1	no	—
945	C₂×C₄⋊C₄	—	89	1	no	—
946	C₂×C₄⋊C₄	—	89	1	no	—
947	C₂×C₄⋊C₄	—	89	1	no	—
948	C₂×C₄⋊C₄	—	89	1	no	—
949	C₂×C₄⋊C₄	—	89	1	no	—
950	C₂×C₄⋊C₄	—	89	1	no	—
951	C₂×C₄⋊C₄	—	89	1	no	—
952	C₂×C₄⋊C₄	—	89	1	no	—
953	C₂×C₄⋊C₄	—	89	1	no	—
954	C₂×C₄⋊C₄	—	89	1	no	—
955	C₂×C₄⋊C₄	—	89	1	no	—
956	C₂×C₄⋊C₄	—	89	1	no	—
957	C₂×C₄⋊C₄	—	89	1	no	—
958	C₂×C₄⋊C₄	—	89	1	no	—
959	C₂×C₄⋊C₄	—	89	1	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	—	356	2	no	—
972	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	—	89	1	no	—
979	C₂×C₂²⋊C₄	—	89	1	no	—
980	C₂×C₂²⋊C₄	—	89	1	no	—
981	C₂×C₂²⋊C₄	—	89	1	no	—
982	C₂×C₂²⋊C₄	—	89	1	no	—
983	C₂×C₂²⋊C₄	—	89	1	no	—
984	C₂×C₂²⋊C₄	—	89	1	no	—
985	C₂×C₂²⋊C₄	—	89	1	no	—
986	C₂×C₂²⋊C₄	—	89	1	no	—
987	C₂×C₂²⋊C₄	—	89	1	no	—
988	C₂×C₂²⋊C₄	—	89	1	no	—
989	C₂×C₂²⋊C₄	—	89	1	no	—
990	C₂×C₂²⋊C₄	—	89	1	no	—
991	C₂×C₂²⋊C₄	—	89	1	no	—
992	C₂×C₂²⋊C₄	—	89	1	no	—
993	C₂×C₂²⋊C₄	—	89	1	no	—
994	C₂×C₂²⋊C₄	—	89	1	no	—
995	C₂×C₂²⋊C₄	—	89	1	no	—
996	C₂×C₂²⋊C₄	—	89	1	no	—
997	C₂×C₂²⋊C₄	—	89	1	no	—
998	C₂×C₂²⋊C₄	—	89	1	no	—
999	C₂×C₂²⋊C₄	—	89	1	no	—
1000	C₂×C₂²⋊C₄	—	89	1	no	—
1001	C₂×C₂²⋊C₄	—	89	1	no	—
1002	C₂×C₂²⋊C₄	—	89	1	no	—
1003	C₂×C₂²⋊C₄	—	89	1	no	—
1004	C₂×C₂²⋊C₄	—	89	1	no	—
1005	C₂×C₂²⋊C₄	—	89	1	no	—
1006	C₂×C₂²⋊C₄	—	89	1	no	—
1007	C₂×C₂²⋊C₄	—	89	1	no	—
1008	C₂×C₂²⋊C₄	—	89	1	no	—
1009	C₂×C₂²⋊C₄	—	89	1	no	—
1010	C₂×C₂²⋊C₄	—	89	1	no	—
1011	C₂×C₂²⋊C₄	—	89	1	no	—
1012	C₂×C₂²⋊C₄	—	89	1	no	—
1013	C₂×C₂²⋊C₄	—	89	1	no	—
1014	C₂×C₂²⋊C₄	—	356	2	no	—
1015	C₂×C₂²⋊C₄	—	356	2	no	—
1016	C₂×C₂²⋊C₄	—	356	2	no	—
1017	C₂×C₂²⋊C₄	—	178	4	no	—
1018	C₂×C₂²⋊C₄	—	178	4	no	—
1019	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1023	C₂×C₄²	—	89	1	no	—
1024	C₂×C₄²	—	89	1	no	—
1025	C₂×C₄²	—	89	1	no	—
1026	C₂×C₄²	—	89	1	no	—
1027	C₂×C₄²	—	89	1	no	—
1028	C₂×C₄²	—	356	2	no	—
1029	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1031	#95	—	89	1	no	—
1032	#95	—	89	1	no	—
1033	#95	—	89	1	no	—
1034	#95	—	89	1	no	—
1035	#95	—	89	1	no	—
1036	#95	—	89	1	no	—
1037	#95	—	89	1	no	—
1038	#95	—	89	1	no	—
1039	#95	—	89	1	no	—
1040	#95	—	89	1	no	—
1041	#95	—	89	1	no	—
1042	#95	—	89	1	no	—
1043	#95	—	89	1	no	—
1044	#95	—	89	1	no	—
1045	#95	—	89	1	no	—
1046	#95	—	89	1	no	—
1047	#95	—	89	1	no	—
1048	#95	—	89	1	no	—
1049	#95	—	89	1	no	—
1050	#95	—	89	1	no	—
1051	#95	—	89	1	no	—
1052	#95	—	89	1	no	—
1053	#95	—	89	1	no	—
1054	#95	—	89	1	no	—
1055	#95	—	89	1	no	—
1056	#95	—	89	1	no	—
1057	#95	—	89	1	no	—
1058	#95	—	89	1	no	—
1059	#95	—	89	1	no	—
1060	#95	—	89	1	no	—
1061	#95	—	89	1	no	—
1062	#95	—	89	1	no	—
1063	#95	—	89	1	no	—
1064	#95	—	89	1	no	—
1065	#95	—	89	1	no	—
1066	#95	—	89	1	no	—
1067	#95	C₂²×D₈₉	1	1	yes	characteristic
1068	#95	C₂²×D₈₉	1	1	yes	characteristic
1069	#95	C₂²×D₈₉	1	1	yes	characteristic
1070	#95	C₂²×D₈₉	1	1	yes	characteristic
1071	#95	C₂²×D₈₉	1	1	yes	characteristic
1072	#95	C₂²×D₈₉	1	1	yes	characteristic
1073	#95	C₂²×D₈₉	1	1	yes	characteristic
1074	#95	C₂²×D₈₉	1	1	yes	characteristic
1075	#95	C₂²×D₈₉	1	1	yes	characteristic
1076	#95	C₂²×D₈₉	1	1	yes	characteristic
1077	#95	C₂²×D₈₉	1	1	yes	characteristic
1078	#95	C₂²×D₈₉	1	1	yes	characteristic
1079	#95	C₂²×D₈₉	1	1	yes	characteristic
1080	#95	C₂²×D₈₉	1	1	yes	characteristic
1081	#95	C₂²×D₈₉	1	1	yes	characteristic
1082	#95	C₂²×D₈₉	1	1	yes	characteristic
1083	#95	C₂²×D₈₉	1	1	yes	characteristic
1084	#95	C₂²×D₈₉	1	1	yes	characteristic
1085	#95	C₂²×D₈₉	1	1	yes	characteristic
1086	#95	C₂²×D₈₉	1	1	yes	characteristic
1087	C₂⁴	—	89	4	no	—
1088	C₂⁴	—	89	1	no	—
1089	C₂⁴	—	89	1	no	—
1090	C₂⁴	—	89	1	no	—
1091	C₂⁴	—	356	1	no	—
1092	C₂⁴	—	356	1	no	—
1093	C₂⁴	—	356	1	no	—
1094	C₂⁴	—	356	1	no	—
1095	C₂⁴	—	178	2	no	—
1096	C₂⁴	—	178	2	no	—
1097	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1098	C₂×Q₈	—	356	1	no	—
1099	C₂×Q₈	—	356	1	no	—
1100	C₂×Q₈	—	356	1	no	—
1101	C₂×D₄	—	356	1	no	—
1102	C₂×D₄	—	356	1	no	—
1103	C₂×D₄	—	356	1	no	—
1104	C₂×D₄	—	356	1	no	—
1105	C₂×D₄	—	178	2	no	—
1106	C₂×D₄	—	178	2	no	—
1107	C₂×D₄	—	178	2	no	—
1108	C₂×D₄	—	178	2	no	—
1109	C₂×D₄	—	178	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	89	1	no	—
1120	C₂²×C₄	—	89	1	no	—
1121	C₂²×C₄	—	89	1	no	—
1122	C₂²×C₄	—	89	1	no	—
1123	C₂²×C₄	—	89	1	no	—
1124	C₂²×C₄	—	89	1	no	—
1125	C₂²×C₄	—	89	1	no	—
1126	C₂²×C₄	—	89	1	no	—
1127	C₂²×C₄	—	89	1	no	—
1128	C₂²×C₄	—	89	1	no	—
1129	C₂²×C₄	—	89	1	no	—
1130	C₂²×C₄	—	89	1	no	—
1131	C₂²×C₄	—	89	1	no	—
1132	C₂²×C₄	—	356	1	no	—
1133	C₂²×C₄	—	356	1	no	—
1134	C₂²×C₄	—	356	1	no	—
1135	C₂²×C₄	—	356	1	no	—
1136	C₂²×C₄	—	356	1	no	—
1137	C₂²×C₄	—	356	1	no	—
1138	C₂²×C₄	—	356	1	no	—
1139	C₂²×C₄	—	356	1	no	—
1140	C₂²×C₄	—	356	1	no	—
1141	C₂²×C₄	—	356	1	no	—
1142	C₂²×C₄	—	356	1	no	—
1143	C₂²×C₄	—	356	1	no	—
1144	C₂²×C₄	—	356	1	no	—
1145	C₂²×C₄	—	356	1	no	—
1146	C₂²×C₄	—	356	1	no	—
1147	C₂²×C₄	—	356	1	no	—
1148	C₂²×C₄	—	356	1	no	—
1149	C₂²×C₄	—	356	1	no	—
1150	C₂²×C₄	—	356	1	no	—
1151	C₂²×C₄	—	178	2	no	—
1152	C₂²×C₄	—	178	2	no	—
1153	C₂²×C₄	—	178	2	no	—
1154	C₂²×C₄	—	178	2	no	—
1155	C₂²×C₄	—	178	2	no	—
1156	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	356	1	no	—
1177	C₄⋊C₄	—	356	1	no	—
1178	C₄⋊C₄	—	356	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	—	356	1	no	—
1204	C₄⋊C₄	—	356	1	no	—
1205	C₄⋊C₄	—	178	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	356	1	no	—
1211	C₂²⋊C₄	—	356	1	no	—
1212	C₂²⋊C₄	—	356	1	no	—
1213	C₂²⋊C₄	—	356	1	no	—
1214	C₂²⋊C₄	—	356	1	no	—
1215	C₂²⋊C₄	—	356	1	no	—
1216	C₂²⋊C₄	—	356	1	no	—
1217	C₂²⋊C₄	—	356	1	no	—
1218	C₂²⋊C₄	—	356	1	no	—
1219	C₂²⋊C₄	—	356	1	no	—
1220	C₂²⋊C₄	—	356	1	no	—
1221	C₂²⋊C₄	—	356	1	no	—
1222	C₂²⋊C₄	—	356	1	no	—
1223	C₂²⋊C₄	—	356	1	no	—
1224	C₂²⋊C₄	—	356	1	no	—
1225	C₂²⋊C₄	—	356	1	no	—
1226	C₂²⋊C₄	—	356	1	no	—
1227	C₂²⋊C₄	—	356	1	no	—
1228	C₂²⋊C₄	—	356	1	no	—
1229	C₂²⋊C₄	—	356	1	no	—
1230	C₂²⋊C₄	—	356	1	no	—
1231	C₂²⋊C₄	—	356	1	no	—
1232	C₂²⋊C₄	—	178	2	no	—
1233	C₂²⋊C₄	—	178	2	no	—
1234	C₂²⋊C₄	—	178	2	no	—
1235	C₂²⋊C₄	—	178	2	no	—
1236	C₂²⋊C₄	—	178	2	no	—
1237	C₂²⋊C₄	—	178	2	no	—
1238	C₂²⋊C₄	—	178	2	no	—
1239	C₂²⋊C₄	—	178	2	no	—
1240	C₂²⋊C₄	—	178	2	no	—
1241	C₂²⋊C₄	—	178	2	no	—
1242	C₂²⋊C₄	—	178	2	no	—
1243	C₂²⋊C₄	—	178	2	no	—
1244	C₂²⋊C₄	—	178	2	no	—
1245	C₂²⋊C₄	—	178	2	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	356	1	no	—
1249	C₄²	—	356	1	no	—
1250	C₄²	—	356	1	no	—
1251	C₄²	—	178	2	no	—
1252	C₄²	—	178	2	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	89	2	no	—
1258	C₂³	—	89	2	no	—
1259	C₂³	—	356	4	no	—
1260	C₂³	—	356	4	no	—
1261	C₂³	—	178	1	no	—
1262	C₂³	—	178	1	no	—
1263	C₂³	—	178	1	no	—
1264	C₂³	—	178	1	no	—
1265	C₂³	—	178	1	no	—
1266	C₂³	—	178	1	no	—
1267	C₂³	—	178	1	no	—
1268	C₂³	—	178	1	no	—
1269	C₂³	—	178	1	no	—
1270	C₂³	—	178	1	no	—
1271	C₂³	—	178	1	no	—
1272	C₂³	—	178	1	no	—
1273	C₂³	—	178	1	no	—
1274	C₂³	—	178	1	no	—
1275	C₂³	—	178	1	no	—
1276	C₂³	—	178	1	no	—
1277	C₂³	—	178	1	no	—
1278	C₂³	—	178	1	no	—
1279	C₂³	—	178	1	no	—
1280	C₂³	—	178	8	no	—
1281	C₂³	—	712	2	no	—
1282	C₂³	—	712	2	no	—
1283	C₂³	—	712	2	no	—
1284	C₂³	—	712	2	no	—
1285	C₂³	#41×D₈₉	1	2	yes	—
1286	C₂³	#15668058	1	2	yes	—
1287	C₂³	#15668059	1	2	yes	—
1288	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1289	Q₈	—	712	2	no	—
1290	D₄	—	356	4	no	—
1291	D₄	—	712	2	no	—
1292	D₄	—	712	2	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	8	2	no	—
1337	C₂×C₄	—	356	4	no	—
1338	C₂×C₄	—	356	4	no	—
1339	C₂×C₄	—	178	1	no	—
1340	C₂×C₄	—	178	1	no	—
1341	C₂×C₄	—	178	1	no	—
1342	C₂×C₄	—	178	1	no	—
1343	C₂×C₄	—	178	1	no	—
1344	C₂×C₄	—	178	1	no	—
1345	C₂×C₄	—	178	1	no	—
1346	C₂×C₄	—	178	1	no	—
1347	C₂×C₄	—	178	1	no	—
1348	C₂×C₄	—	178	1	no	—
1349	C₂×C₄	—	178	1	no	—
1350	C₂×C₄	—	178	1	no	—
1351	C₂×C₄	—	178	1	no	—
1352	C₂×C₄	—	178	1	no	—
1353	C₂×C₄	—	178	1	no	—
1354	C₂×C₄	—	178	1	no	—
1355	C₂×C₄	—	178	1	no	—
1356	C₂×C₄	—	178	1	no	—
1357	C₂×C₄	—	178	1	no	—
1358	C₂×C₄	—	178	1	no	—
1359	C₂×C₄	—	178	1	no	—
1360	C₂×C₄	—	178	1	no	—
1361	C₂×C₄	—	178	1	no	—
1362	C₂×C₄	—	178	1	no	—
1363	C₂×C₄	—	178	1	no	—
1364	C₂×C₄	—	178	1	no	—
1365	C₂×C₄	—	178	1	no	—
1366	C₂×C₄	—	178	1	no	—
1367	C₂×C₄	—	178	1	no	—
1368	C₂×C₄	—	178	1	no	—
1369	C₂×C₄	—	178	1	no	—
1370	C₂×C₄	—	178	1	no	—
1371	C₂×C₄	—	178	1	no	—
1372	C₂×C₄	—	178	1	no	—
1373	C₂×C₄	—	178	1	no	—
1374	C₂×C₄	—	178	1	no	—
1375	C₂×C₄	—	178	1	no	—
1376	C₂×C₄	—	178	1	no	—
1377	C₂×C₄	—	178	1	no	—
1378	C₂×C₄	—	712	2	no	—
1379	C₂×C₄	—	712	2	no	—
1380	C₂×C₄	—	712	2	no	—
1381	C₂×C₄	—	712	2	no	—
1382	C₂×C₄	—	712	2	no	—
1383	C₂×C₄	—	712	2	no	—
1384	C₂×C₄	#15668058	1	2	yes	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	356	1	no	—
1392	C₂²	—	356	1	no	—
1393	C₂²	—	356	1	no	—
1394	C₂²	—	356	1	no	—
1395	C₂²	—	356	1	no	—
1396	C₂²	—	356	1	no	—
1397	C₂²	—	356	1	no	—
1398	C₂²	—	356	1	no	—
1399	C₂²	—	356	1	no	—
1400	C₂²	—	356	1	no	—
1401	C₂²	—	356	1	no	—
1402	C₂²	—	356	1	no	—
1403	C₂²	—	356	1	no	—
1404	C₂²	—	356	1	no	—
1405	C₂²	—	356	1	no	—
1406	C₂²	—	178	2	no	—
1407	C₂²	—	178	2	no	—
1408	C₂²	—	178	2	no	—
1409	C₂²	—	178	2	no	—
1410	C₂²	—	178	2	no	—
1411	C₂²	—	178	2	no	—
1412	C₂²	—	712	8	no	—
1413	C₂²	#19152189	1	4	yes	—
1414	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1415	C₂²	C₂×#15668058	1	1	yes	characteristic
1416	C₂²	C₂×#15668058	1	1	yes	characteristic
1417	C₂²	C₂×#15668059	1	1	yes	characteristic
1418	C₂²	#19152433	1	1	yes	characteristic
1419	C₂²	#19152434	1	1	yes	characteristic
1420	C₂²	#19152435	1	1	yes	characteristic
1421	C₄	—	2	2	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	356	1	no	—
1436	C₄	—	356	1	no	—
1437	C₄	—	356	1	no	—
1438	C₄	—	356	1	no	—
1439	C₄	—	356	1	no	—
1440	C₄	—	356	1	no	—
1441	C₄	—	356	1	no	—
1442	C₄	—	356	1	no	—
1443	C₄	—	356	1	no	—
1444	C₄	—	356	1	no	—
1445	C₄	—	356	1	no	—
1446	C₄	—	356	1	no	—
1447	C₄	—	356	1	no	—
1448	C₂	—	2	4	no	—
1449	C₂	—	356	2	no	—
1450	C₂	—	356	2	no	—
1451	C₂	—	712	1	no	—
1452	C₂	C₂×#19152189	1	1	yes	characteristic
1453	C₂	#26033946	1	1	yes	characteristic
1454	C₂	#26034087	1	1	yes	characteristic
1455	C₂	#26034457	1	1	yes	characteristic
1456	C₂	#26034562	1	1	yes	characteristic
1457	C₂	#26034608	1	1	yes	characteristic
1458	C₂	#26034872	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2493	C₂
prime radical	C₂×#15667982	C₂²
hypercenter	#2493	D₈₉
hypocenter	C₈₉	#36780
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2493

Complements

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

N	H ≅ G/N	type
1. #26028569	C₂	semidirect
2. #26028560	C₂	semidirect
3. #26027966	C₂	semidirect
4. #26027931	C₂	semidirect
5. #26027752	C₂	semidirect
6. #26027750	C₂	semidirect
7. #26027458	C₂	semidirect
8. #26027429	C₂	semidirect
9. #26027426	C₂	semidirect
10. #26027409	C₂	semidirect
11. #26027403	C₂	semidirect
12. #26027390	C₂	semidirect
13. #26027321	C₂	semidirect
14. #26027304	C₂	semidirect
15. #26027169	C₂	semidirect
16. #26026792	C₂	semidirect
17. #26026770	C₂	semidirect
18. #26026725	C₂	semidirect
19. #26026069	C₂	semidirect
20. #26026035	C₂	semidirect
21. #26024747	C₂	semidirect
22. #26024531	C₂	semidirect
23. #26024078	C₂	semidirect
24. #26023916	C₂	semidirect
25. #26023729	C₂	semidirect
29. #26022863	C₂	semidirect
30. C₂×#19151490	C₂	semidirect
31. C₈₉×#2493	C₂	semidirect
32. C₂×#15668007	C₂²	semidirect
33. C₂×#15668003	C₂²	semidirect
47. #19151540	C₂²	semidirect
48. #19151540	C₂²	semidirect
49. #19151540	C₂²	semidirect
50. #19151540	C₂²	semidirect
51. #19151540	C₂²	semidirect
52. #19151539	C₂²	semidirect
53. #19151539	C₂²	semidirect
54. #19151538	C₂²	semidirect
55. #19151538	C₂²	semidirect
57. #19151535	C₂²	semidirect
58. #19151535	C₂²	semidirect
59. #19151532	C₂²	semidirect
60. #19151532	C₂²	semidirect
61. #19151532	C₂²	semidirect
62. #19151532	C₂²	semidirect
63. #19151530	C₂²	semidirect
64. #19151530	C₂²	semidirect
65. #19151530	C₂²	semidirect
66. #19151530	C₂²	semidirect
67. #19151529	C₂²	semidirect
73. #19151527	C₂²	semidirect
76. #19151525	C₂²	semidirect
77. #19151525	C₂²	semidirect
78. #19151525	C₂²	semidirect
82. #19151520	C₂²	semidirect
83. #19151519	C₂²	semidirect
84. #19151519	C₂²	semidirect
90. #19151511	C₂²	semidirect
91. #19151502	C₂²	semidirect
94. #19151497	C₂²	semidirect
95. #19151496	C₂²	semidirect
96. #19151494	C₂²	semidirect
107. #19151490	C₂²	semidirect
110. #19151488	C₂²	semidirect
111. #19151487	C₂²	semidirect
112. #19151485	C₂²	semidirect
113. #19151485	C₂²	semidirect
114. #19151484	C₂²	semidirect
115. #19151484	C₂²	semidirect
116. #19151482	C₂²	semidirect
117. #19151482	C₂²	semidirect
118. #19151481	C₂²	semidirect
119. #19151481	C₂²	semidirect
120. #19151481	C₂²	semidirect
121. #19151481	C₂²	semidirect
122. #19151480	C₂²	semidirect
123. #19151479	C₂²	semidirect
143. #19151472	C₂²	semidirect
151. #19151469	C₂²	semidirect
152. #19151465	C₂²	semidirect
153. #19151464	C₂²	semidirect
154. #19151463	C₂²	semidirect
159. #19151460	C₂²	semidirect
165. #19151457	C₂²	semidirect
172. #401×C₈₉	C₂²	semidirect
173. #400×C₈₉	C₂²	semidirect
174. #400×C₈₉	C₂²	semidirect
175. #400×C₈₉	C₂²	semidirect
176. #387×C₈₉	C₂²	semidirect
177. #387×C₈₉	C₂²	semidirect
178. #387×C₈₉	C₂²	semidirect
181. #383×C₈₉	C₂²	semidirect
751. #2493	D₈₉	semidirect
761. C₈₉	#36780	semidirect
777. #401	C₂×D₈₉	semidirect
787. #400	C₂×D₈₉	semidirect
788. #400	C₂×D₈₉	semidirect
789. #400	C₂×D₈₉	semidirect
858. #387	C₂×D₈₉	semidirect
859. #387	C₂×D₈₉	semidirect
860. #387	C₂×D₈₉	semidirect
892. #383	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26028569	2
#26028560	2
#26027966	2
#26027931	2
#26027752	2
#26027750	2
#26027458	2
#26027429	2
#26027426	2
#26027409	2
#26027403	2
#26027390	2
#26027321	2
#26027304	2
#26027169	2
#26026792	2
#26026770	2
#26026725	2
#26026069	2
#26026035	2
#26024747	2
#26024531	2
#26024078	2
#26023916	2
#26023729	2
#26023650	2
#26023645	2
#26022912	2
#26022863	2
C₂×#19151490	2
C₈₉×#2493	2
#36780	89