Subgroups — #36762800

Order 22784.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028547	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028535	C₂	1	1	yes	maximal, characteristic, complemented
3	#26027894	C₂	1	1	yes	maximal, characteristic, complemented
4	#26027894	C₂	1	1	yes	maximal, characteristic, complemented
5	#26027738	C₂	1	1	yes	maximal, characteristic, complemented
6	#26027642	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027525	C₂	1	1	yes	maximal, characteristic, complemented
8	#26027482	C₂	1	1	yes	maximal, characteristic, complemented
9	#26027464	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027390	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027321	C₂	1	1	yes	maximal, characteristic, complemented
12	#26027005	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026949	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026942	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026860	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026860	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026695	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026495	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026038	C₂	1	1	yes	maximal, characteristic, complemented
20	#26025997	C₂	1	1	yes	maximal, characteristic, complemented
21	#26025178	C₂	1	1	yes	maximal, characteristic, complemented
22	#26025144	C₂	1	1	yes	maximal, characteristic, complemented
23	#26023801	C₂	1	1	yes	maximal, characteristic, complemented
24	#26023786	C₂	1	1	yes	maximal, characteristic, complemented
25	#26023735	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023720	C₂	1	1	yes	maximal, characteristic, complemented
27	#26023686	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022952	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022879	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151469	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2442	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
33	C₂×#15667997	C₂²	1	1	yes	characteristic
34	C₂×#15667997	C₂²	1	1	yes	characteristic
35	C₂×#15667997	C₂²	1	1	yes	characteristic
36	C₂×#15667996	C₂²	1	1	yes	characteristic
37	C₂×#15667996	C₂²	1	1	yes	characteristic
38	C₂×#15667996	C₂²	1	1	yes	characteristic
39	C₂×#15667987	C₂²	1	1	yes	characteristic
40	C₂×#15667987	C₂²	1	1	yes	characteristic
41	C₂×#15667987	C₂²	1	1	yes	characteristic
42	C₂×#15667987	C₂²	1	1	yes	characteristic, complemented
43	C₂×#15667986	C₂²	1	1	yes	characteristic
44	C₂×#15667986	C₂²	1	1	yes	characteristic
45	C₂×#15667986	C₂²	1	1	yes	characteristic
46	C₂×#15667982	C₂²	1	1	yes	characteristic
47	C₂×#15667982	C₂²	1	1	yes	characteristic
48	C₂×#15667982	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
50	C₂×#15667972	C₂²	1	1	yes	characteristic
51	C₂×#15667972	C₂²	1	1	yes	characteristic
52	C₂²×#13083553	C₂²	1	1	yes	characteristic
53	C₂²×#13083551	C₂²	1	1	yes	characteristic
54	C₂²×#13083551	C₂²	1	1	yes	characteristic
55	#19151540	C₂²	1	1	yes	characteristic, complemented
56	#19151540	C₂²	1	1	yes	characteristic, complemented
57	#19151540	C₂²	1	1	yes	characteristic, complemented
58	#19151535	C₂²	1	1	yes	characteristic
59	#19151535	C₂²	1	1	yes	characteristic
60	#19151533	C₂²	1	1	yes	characteristic
61	#19151533	C₂²	1	1	yes	characteristic, complemented
62	#19151533	C₂²	1	1	yes	characteristic, complemented
63	#19151531	C₂²	1	1	yes	characteristic, complemented
64	#19151531	C₂²	1	1	yes	characteristic, complemented
65	#19151531	C₂²	1	1	yes	characteristic, complemented
66	#19151530	C₂²	1	1	yes	characteristic, complemented
67	#19151530	C₂²	1	1	yes	characteristic, complemented
68	#19151530	C₂²	1	1	yes	characteristic, complemented
69	#19151527	C₂²	1	1	yes	characteristic
70	#19151527	C₂²	1	1	yes	characteristic, complemented
71	#19151527	C₂²	1	1	yes	characteristic, complemented
72	#19151527	C₂²	1	1	yes	characteristic, complemented
73	#19151525	C₂²	1	1	yes	characteristic, complemented
74	#19151524	C₂²	1	1	yes	characteristic, complemented
75	#19151520	C₂²	1	1	yes	characteristic
76	#19151520	C₂²	1	1	yes	characteristic
77	#19151520	C₂²	1	1	yes	characteristic
78	#19151520	C₂²	1	1	yes	characteristic, complemented
79	#19151520	C₂²	1	1	yes	characteristic, complemented
80	#19151520	C₂²	1	1	yes	characteristic, complemented
81	#19151520	C₂²	1	1	yes	characteristic, complemented
82	#19151520	C₂²	1	1	yes	characteristic, complemented
83	#19151520	C₂²	1	1	yes	characteristic, complemented
84	#19151520	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, complemented
88	#19151516	C₂²	1	1	yes	characteristic, complemented
89	#19151515	C₂²	1	1	yes	characteristic
90	#19151515	C₂²	1	1	yes	characteristic
91	#19151515	C₂²	1	1	yes	characteristic
92	#19151515	C₂²	1	1	yes	characteristic
93	#19151515	C₂²	1	1	yes	characteristic, complemented
94	#19151515	C₂²	1	1	yes	characteristic, complemented
95	#19151515	C₂²	1	1	yes	characteristic, complemented
96	#19151508	C₂²	1	1	yes	characteristic
97	#19151508	C₂²	1	1	yes	characteristic
98	#19151508	C₂²	1	1	yes	characteristic
99	#19151500	C₂²	1	1	yes	characteristic
100	#19151500	C₂²	1	1	yes	characteristic
101	#19151500	C₂²	1	1	yes	characteristic
102	#19151500	C₂²	1	1	yes	characteristic
103	#19151499	C₂²	1	1	yes	characteristic
104	#19151499	C₂²	1	1	yes	characteristic, complemented
105	#19151497	C₂²	1	1	yes	characteristic, complemented
106	#19151497	C₂²	1	1	yes	characteristic, complemented
107	#19151490	C₂²	1	1	yes	characteristic
108	#19151490	C₂²	1	1	yes	characteristic
109	#19151490	C₂²	1	1	yes	characteristic
110	#19151490	C₂²	1	1	yes	characteristic, complemented
111	#19151489	C₂²	1	1	yes	characteristic, complemented
112	#19151489	C₂²	1	1	yes	characteristic, complemented
113	#19151488	C₂²	1	1	yes	characteristic
114	#19151488	C₂²	1	1	yes	characteristic, complemented
115	#19151488	C₂²	1	1	yes	characteristic, complemented
116	#19151487	C₂²	1	1	yes	characteristic
117	#19151485	C₂²	1	1	yes	characteristic, complemented
118	#19151484	C₂²	1	1	yes	characteristic, complemented
119	#19151482	C₂²	1	1	yes	characteristic, complemented
120	#19151482	C₂²	1	1	yes	characteristic, complemented
121	#19151481	C₂²	1	1	yes	characteristic, complemented
122	#19151481	C₂²	1	1	yes	characteristic, complemented
123	#19151477	C₂²	1	1	yes	characteristic
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	#19151476	C₂²	1	1	yes	characteristic
131	#19151476	C₂²	1	1	yes	characteristic
132	#19151476	C₂²	1	1	yes	characteristic
133	#19151476	C₂²	1	1	yes	characteristic
134	#19151476	C₂²	1	1	yes	characteristic
135	#19151476	C₂²	1	1	yes	characteristic, complemented
136	#19151476	C₂²	1	1	yes	characteristic, complemented
137	#19151476	C₂²	1	1	yes	characteristic, complemented
138	#19151475	C₂²	1	1	yes	characteristic
139	#19151475	C₂²	1	1	yes	characteristic
140	#19151475	C₂²	1	1	yes	characteristic
141	#19151475	C₂²	1	1	yes	characteristic
142	#19151470	C₂²	1	1	yes	characteristic
143	#19151470	C₂²	1	1	yes	characteristic
144	#19151469	C₂²	1	1	yes	characteristic
145	#19151469	C₂²	1	1	yes	characteristic
146	#19151469	C₂²	1	1	yes	characteristic
147	#19151469	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
152	#19151469	C₂²	1	1	yes	characteristic
153	#19151469	C₂²	1	1	yes	characteristic
154	#19151469	C₂²	1	1	yes	characteristic, complemented
155	#19151469	C₂²	1	1	yes	characteristic, complemented
156	#19151469	C₂²	1	1	yes	characteristic, complemented
157	#19151465	C₂²	1	1	yes	characteristic, complemented
158	#19151462	C₂²	1	1	yes	characteristic, complemented
159	#19151460	C₂²	1	1	yes	characteristic
160	#19151460	C₂²	1	1	yes	characteristic
161	#19151460	C₂²	1	1	yes	characteristic, complemented
162	#19151460	C₂²	1	1	yes	characteristic, complemented
163	#19151459	C₂²	1	1	yes	characteristic
164	#19151457	C₂²	1	1	yes	characteristic, complemented
165	#19151455	C₂²	1	1	yes	characteristic
166	#19151455	C₂²	1	1	yes	characteristic
167	#19151455	C₂²	1	1	yes	characteristic, complemented
168	#19151455	C₂²	1	1	yes	characteristic, complemented
169	#19151453	C₂²	1	1	yes	characteristic
170	C₂×#15667919	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic
172	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
174	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#385×C₈₉	C₂²	1	1	yes	characteristic
181	#385×C₈₉	C₂²	1	1	yes	characteristic
182	#382×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#380×C₈₉	C₂²	1	1	yes	characteristic
184	#380×C₈₉	C₂²	1	1	yes	characteristic
185	#380×C₈₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
189	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
190	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
191	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
192	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
193	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
194	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
195	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
196	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
200	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
201	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
202	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₈₉	—	4	2	no	—
204	C₂²×C₄×D₈₉	—	4	2	no	—
205	C₂²×C₄×D₈₉	—	4	2	no	—
206	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	#15667997	—	4	2	no	—
214	#15667997	—	4	2	no	—
215	#15667997	—	4	2	no	—
216	#15667996	—	4	2	no	—
217	#15667996	—	4	2	no	—
218	#15667996	—	4	2	no	—
219	#15667987	—	4	2	no	—
220	#15667987	—	4	2	no	—
221	#15667987	—	4	2	no	—
222	#15667987	—	4	2	no	—
223	#15667986	—	2	4	no	—
224	#15667986	—	4	2	no	—
225	#15667986	—	4	2	no	—
226	#15667982	—	4	2	no	—
227	#15667982	—	4	2	no	—
228	#15667982	—	4	2	no	—
229	C₄×C₂²⋊D₈₉	—	2	4	no	—
230	#15667972	—	4	2	no	—
231	#15667972	—	4	2	no	—
232	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×#13083553	—	4	2	no	—
242	C₂×#13083553	C₂³	1	1	yes	characteristic
243	C₂×#13083553	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×#13083553	C₂³	1	1	yes	characteristic
252	C₂×#13083553	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×#13083551	—	2	4	no	—
255	C₂×#13083551	—	4	2	no	—
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	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂×#13083551	C₂³	1	1	yes	characteristic
286	C₂×#13083551	C₂³	1	1	yes	characteristic
287	C₂×#13083551	C₂³	1	1	yes	characteristic
288	C₂×#13083551	C₂³	1	1	yes	characteristic
289	C₂×#13083551	C₂³	1	1	yes	characteristic
290	C₂×#13083551	C₂³	1	1	yes	characteristic
291	C₂×#13083551	C₂³	1	1	yes	characteristic
292	C₂×#13083551	C₂³	1	1	yes	characteristic
293	C₂×#13083551	C₂³	1	1	yes	characteristic
294	C₂×#13083551	C₂³	1	1	yes	characteristic
295	C₂×#13083551	C₂³	1	1	yes	characteristic
296	C₂×#13083551	C₂³	1	1	yes	characteristic
297	C₂×#13083551	C₂³	1	1	yes	characteristic
298	C₂×#13083551	C₂³	1	1	yes	characteristic
299	C₂×#13083551	C₂³	1	1	yes	characteristic
300	C₂×#13083551	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
335	#125×C₈₉	—	4	2	no	—
336	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
357	#95×C₈₉	C₂³	1	1	yes	characteristic
358	#95×C₈₉	C₂³	1	1	yes	characteristic
359	#95×C₈₉	C₂³	1	1	yes	characteristic
360	#95×C₈₉	C₂³	1	1	yes	characteristic
361	#95×C₈₉	C₂³	1	1	yes	characteristic
362	#95×C₈₉	C₂³	1	1	yes	characteristic
363	#95×C₈₉	C₂³	1	1	yes	characteristic
364	#95×C₈₉	C₂³	1	1	yes	characteristic
365	#95×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	C₂³×D₈₉	—	2	2	no	—
370	C₂³×D₈₉	—	2	2	no	—
371	C₂³×D₈₉	—	2	2	no	—
372	C₂³×D₈₉	—	2	2	no	—
373	C₂³×D₈₉	—	2	2	no	—
374	C₂³×D₈₉	—	4	1	no	—
375	C₂³×D₈₉	—	4	1	no	—
376	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
377	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
378	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
379	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
380	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
381	C₂×D₃₅₆	—	2	2	no	—
382	C₂×D₃₅₆	—	2	2	no	—
383	C₂×D₃₅₆	—	2	2	no	—
384	C₂×D₃₅₆	—	2	2	no	—
385	C₂×D₃₅₆	—	2	2	no	—
386	C₂×D₃₅₆	—	2	2	no	—
387	C₂×D₃₅₆	—	2	2	no	—
388	C₂×D₃₅₆	—	2	2	no	—
389	C₂×D₃₅₆	—	4	1	no	—
390	C₂×D₃₅₆	—	4	1	no	—
391	C₂×D₃₅₆	—	4	1	no	—
392	C₂×D₃₅₆	—	4	1	no	—
393	C₂×D₃₅₆	—	4	1	no	—
394	C₂×D₃₅₆	—	4	1	no	—
395	C₂×D₃₅₆	—	4	1	no	—
396	C₂×D₃₅₆	—	4	1	no	—
397	C₂×D₃₅₆	—	4	1	no	—
398	C₂×D₃₅₆	—	4	1	no	—
399	C₂×D₃₅₆	—	4	1	no	—
400	C₂×D₃₅₆	—	4	1	no	—
401	C₂×D₃₅₆	—	4	1	no	—
402	C₂×D₃₅₆	—	4	1	no	—
403	C₂×D₃₅₆	—	4	1	no	—
404	C₂×D₃₅₆	—	4	1	no	—
405	C₂×D₃₅₆	—	4	1	no	—
406	C₂×D₃₅₆	—	4	1	no	—
407	C₂×D₃₅₆	—	4	1	no	—
408	C₂×C₂²⋊D₈₉	—	2	2	no	—
409	C₂×C₂²⋊D₈₉	—	2	2	no	—
410	C₂×C₂²⋊D₈₉	—	2	2	no	—
411	C₂×C₂²⋊D₈₉	—	2	2	no	—
412	C₂×C₂²⋊D₈₉	—	2	2	no	—
413	C₂×C₂²⋊D₈₉	—	2	2	no	—
414	C₂×C₂²⋊D₈₉	—	2	2	no	—
415	C₂×C₂²⋊D₈₉	—	2	2	no	—
416	C₂×C₂²⋊D₈₉	—	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	—	4	1	no	—
423	C₂²×Dic₈₉	—	4	1	no	—
424	C₂²×Dic₈₉	—	4	1	no	—
425	C₂²×Dic₈₉	—	4	1	no	—
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	4	1	no	—
443	C₂×C₄×D₈₉	—	4	1	no	—
444	C₂×C₄×D₈₉	—	4	1	no	—
445	C₂×C₄×D₈₉	—	4	1	no	—
446	C₂×C₄×D₈₉	—	4	1	no	—
447	C₂×C₄×D₈₉	—	4	1	no	—
448	C₂×C₄×D₈₉	—	4	1	no	—
449	C₂×C₄×D₈₉	—	4	1	no	—
450	C₂×C₄×D₈₉	—	4	16	no	—
451	C₂×C₄×D₈₉	—	4	1	no	—
452	C₂×C₄×D₈₉	—	4	1	no	—
453	C₂×C₄×D₈₉	—	4	1	no	—
454	C₂×C₄×D₈₉	—	4	1	no	—
455	C₂×C₄×D₈₉	—	4	1	no	—
456	C₂×C₄×D₈₉	—	4	1	no	—
457	C₂×C₄×D₈₉	—	4	1	no	—
458	C₂×C₄×D₈₉	—	4	1	no	—
459	C₄⋊Dic₈₉	—	2	2	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	C₄⋊Dic₈₉	—	4	1	no	—
466	C₄⋊Dic₈₉	—	4	1	no	—
467	C₄⋊Dic₈₉	—	4	1	no	—
468	#13083553	—	2	2	no	—
469	#13083553	—	4	1	no	—
470	#13083553	—	4	1	no	—
471	#13083553	—	4	1	no	—
472	#13083553	—	4	1	no	—
473	#13083553	—	4	1	no	—
474	#13083553	—	4	1	no	—
475	#13083553	—	4	1	no	—
476	#13083553	—	4	1	no	—
477	#13083553	—	4	1	no	—
478	#13083553	—	4	1	no	—
479	C₂²⋊Dic₈₉	—	2	2	no	—
480	#13083551	—	2	2	no	—
481	#13083551	—	2	2	no	—
482	#13083551	—	2	2	no	—
483	#13083551	—	2	2	no	—
484	#13083551	—	2	2	no	—
485	#13083551	—	2	2	no	—
486	#13083551	—	2	2	no	—
487	#13083551	—	2	2	no	—
488	#13083551	—	2	2	no	—
489	#13083551	—	2	2	no	—
490	#13083551	—	2	2	no	—
491	#13083551	—	2	2	no	—
492	#13083551	—	4	1	no	—
493	#13083551	—	4	1	no	—
494	#13083551	—	4	1	no	—
495	#13083551	—	4	1	no	—
496	#13083551	—	4	1	no	—
497	#13083551	—	4	1	no	—
498	#13083551	—	4	1	no	—
499	#13083551	—	4	1	no	—
500	#13083551	—	4	1	no	—
501	#13083551	—	4	1	no	—
502	#13083551	—	4	1	no	—
503	#13083551	—	4	1	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	—	4	1	no	—
508	#13083551	—	4	1	no	—
509	#13083551	—	4	1	no	—
510	#13083551	—	4	1	no	—
511	#13083551	—	4	1	no	—
512	#13083551	—	4	1	no	—
513	#13083551	—	4	1	no	—
514	#13083551	—	4	1	no	—
515	#13083551	—	4	1	no	—
516	#13083551	—	4	1	no	—
517	#13083551	—	4	1	no	—
518	#13083551	—	4	1	no	—
519	#13083551	—	4	1	no	—
520	#13083551	—	4	1	no	—
521	#13083551	—	4	1	no	—
522	#13083551	—	4	1	no	—
523	#13083551	—	4	1	no	—
524	#13083551	—	4	1	no	—
525	C₄×Dic₈₉	—	2	2	no	—
526	C₄×Dic₈₉	—	4	1	no	—
527	C₄×Dic₈₉	—	4	1	no	—
528	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₈₉	—	2	2	no	—
530	C₂²×C₄×C₈₉	—	2	2	no	—
531	C₂²×C₄×C₈₉	—	2	2	no	—
532	C₂²×C₄×C₈₉	—	4	1	no	—
533	C₂²×C₄×C₈₉	—	4	1	no	—
534	C₂²×C₄×C₈₉	—	4	1	no	—
535	C₂²×C₄×C₈₉	—	4	1	no	—
536	C₂²×C₄×C₈₉	—	4	1	no	—
537	C₂²×C₄×C₈₉	#41	1	4	yes	—
538	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₄⋊C₄×C₈₉	—	2	2	no	—
553	C₄⋊C₄×C₈₉	—	2	2	no	—
554	C₄⋊C₄×C₈₉	—	2	2	no	—
555	C₄⋊C₄×C₈₉	—	2	2	no	—
556	C₄⋊C₄×C₈₉	—	4	1	no	—
557	C₄⋊C₄×C₈₉	—	4	1	no	—
558	C₄⋊C₄×C₈₉	—	4	1	no	—
559	C₄⋊C₄×C₈₉	—	4	1	no	—
560	C₄⋊C₄×C₈₉	—	4	1	no	—
561	C₄⋊C₄×C₈₉	—	4	1	no	—
562	C₄⋊C₄×C₈₉	—	4	1	no	—
563	C₄⋊C₄×C₈₉	—	4	1	no	—
564	C₄⋊C₄×C₈₉	—	4	1	no	—
565	C₄⋊C₄×C₈₉	—	4	1	no	—
566	C₂²⋊C₄×C₈₉	—	2	2	no	—
567	C₂²⋊C₄×C₈₉	—	2	2	no	—
568	C₂²⋊C₄×C₈₉	—	2	2	no	—
569	C₂²⋊C₄×C₈₉	—	2	2	no	—
570	C₄²×C₈₉	—	4	1	no	—
571	C₄²×C₈₉	—	4	1	no	—
572	C₂³×C₈₉	—	2	1	no	—
573	C₂³×C₈₉	—	2	1	no	—
574	C₂³×C₈₉	—	2	1	no	—
575	C₂³×C₈₉	—	2	1	no	—
576	C₂³×C₈₉	C₂×#41	1	2	yes	—
577	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
578	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
579	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
580	C₂²×D₈₉	—	2	8	no	—
581	C₂²×D₈₉	—	2	1	no	—
582	C₂²×D₈₉	—	2	1	no	—
583	C₂²×D₈₉	—	2	1	no	—
584	C₂²×D₈₉	—	2	1	no	—
585	C₂²×D₈₉	—	2	1	no	—
586	C₂²×D₈₉	—	2	1	no	—
587	C₂²×D₈₉	—	2	1	no	—
588	C₂²×D₈₉	—	2	1	no	—
589	C₂²×D₈₉	—	2	1	no	—
590	C₂²×D₈₉	—	2	1	no	—
591	C₂²×D₈₉	—	2	1	no	—
592	C₂²×D₈₉	—	2	1	no	—
593	C₂²×D₈₉	—	2	1	no	—
594	C₂²×D₈₉	—	2	1	no	—
595	C₂²×D₈₉	—	2	1	no	—
596	C₂²×D₈₉	—	2	1	no	—
597	C₂²×D₈₉	—	2	1	no	—
598	C₂²×D₈₉	—	2	1	no	—
599	C₂²×D₈₉	—	2	1	no	—
600	C₂²×D₈₉	—	2	1	no	—
601	C₂²×D₈₉	—	2	1	no	—
602	C₂²×D₈₉	—	2	1	no	—
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	—	2	1	no	—
607	C₂²×D₈₉	—	2	1	no	—
608	C₂²×D₈₉	—	2	1	no	—
609	C₂²×D₈₉	—	2	1	no	—
610	C₂²×D₈₉	—	2	1	no	—
611	C₂²×D₈₉	—	2	1	no	—
612	C₂²×D₈₉	—	2	1	no	—
613	C₂²×D₈₉	—	2	1	no	—
614	C₂²×D₈₉	—	4	4	no	—
615	C₂²×D₈₉	—	4	4	no	—
616	C₂²×D₈₉	—	4	4	no	—
617	C₂²×D₈₉	—	4	4	no	—
618	C₂²×D₈₉	—	4	4	no	—
619	C₂²×D₈₉	—	4	4	no	—
620	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
621	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	4	4	no	—
662	C₂×C₄×C₈₉	—	4	4	no	—
663	C₂×C₄×C₈₉	—	8	2	no	—
664	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
665	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
666	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
667	C₂²⋊D₈₉	—	4	4	no	—
668	C₂²⋊D₈₉	—	4	4	no	—
669	C₂²⋊D₈₉	—	4	4	no	—
670	C₂×Dic₈₉	—	2	1	no	—
671	C₂×Dic₈₉	—	2	1	no	—
672	C₂×Dic₈₉	—	2	1	no	—
673	C₂×Dic₈₉	—	2	1	no	—
674	C₂×Dic₈₉	—	2	1	no	—
675	C₂×Dic₈₉	—	2	1	no	—
676	C₂×Dic₈₉	—	2	1	no	—
677	C₂×Dic₈₉	—	2	1	no	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	2	1	no	—
703	C₂×Dic₈₉	—	4	4	no	—
704	C₂×Dic₈₉	—	4	4	no	—
705	C₂×Dic₈₉	—	8	2	no	—
706	D₃₅₆	—	8	2	no	—
707	D₃₅₆	—	8	2	no	—
708	D₃₅₆	—	8	2	no	—
709	D₃₅₆	—	8	2	no	—
710	D₃₅₆	—	8	2	no	—
711	D₃₅₆	—	8	2	no	—
712	D₃₅₆	—	8	2	no	—
713	D₃₅₆	—	8	2	no	—
714	D₃₅₆	—	8	2	no	—
715	C₄×D₈₉	—	4	4	no	—
716	C₄×D₈₉	—	4	4	no	—
717	C₄×D₈₉	—	4	4	no	—
718	C₄×D₈₉	—	4	4	no	—
719	C₄×D₈₉	—	8	2	no	—
720	C₄×D₈₉	—	8	2	no	—
721	C₄×D₈₉	—	8	2	no	—
722	C₂²×C₈₉	—	2	2	no	—
723	C₂²×C₈₉	—	2	2	no	—
724	C₂²×C₈₉	—	2	2	no	—
725	C₂²×C₈₉	—	2	2	no	—
726	C₂²×C₈₉	—	2	2	no	—
727	C₂²×C₈₉	—	2	2	no	—
728	C₂²×C₈₉	#540	1	4	yes	—
729	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
730	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
735	C₂²×C₈₉	#585	1	1	yes	characteristic
736	C₂×D₈₉	—	2	2	no	—
737	C₂×D₈₉	—	2	2	no	—
738	C₂×D₈₉	—	2	2	no	—
739	C₂×D₈₉	—	2	2	no	—
740	C₂×D₈₉	—	2	2	no	—
741	C₂×D₈₉	—	2	2	no	—
742	C₂×D₈₉	—	4	16	no	—
743	C₂×D₈₉	—	4	1	no	—
744	C₂×D₈₉	—	4	1	no	—
745	C₂×D₈₉	—	4	1	no	—
746	C₂×D₈₉	—	4	1	no	—
747	C₂×D₈₉	—	4	1	no	—
748	C₂×D₈₉	—	4	1	no	—
749	C₂×D₈₉	—	4	1	no	—
750	C₂×D₈₉	—	4	1	no	—
751	C₂×D₈₉	—	4	1	no	—
752	C₂×D₈₉	—	4	1	no	—
753	C₂×D₈₉	—	4	1	no	—
754	C₂×D₈₉	—	4	1	no	—
755	C₂×D₈₉	—	4	1	no	—
756	C₂×D₈₉	—	4	1	no	—
757	C₂×D₈₉	—	4	1	no	—
758	C₂×D₈₉	—	4	1	no	—
759	C₂×D₈₉	—	4	1	no	—
760	C₂×D₈₉	—	4	1	no	—
761	C₂×D₈₉	—	4	1	no	—
762	C₂×D₈₉	—	4	1	no	—
763	C₂×D₈₉	—	4	1	no	—
764	C₂×D₈₉	—	4	1	no	—
765	C₂×D₈₉	—	4	1	no	—
766	C₂×D₈₉	—	4	1	no	—
767	C₂×D₈₉	—	4	1	no	—
768	C₂×D₈₉	—	4	1	no	—
769	C₂×D₈₉	—	4	1	no	—
770	C₂×D₈₉	—	4	1	no	—
771	C₂×D₈₉	—	4	1	no	—
772	C₄×C₈₉	—	2	2	no	—
773	C₄×C₈₉	—	2	2	no	—
774	C₄×C₈₉	—	2	2	no	—
775	C₄×C₈₉	—	4	1	no	—
776	C₄×C₈₉	—	4	1	no	—
777	C₄×C₈₉	—	4	1	no	—
778	C₄×C₈₉	—	4	1	no	—
779	C₄×C₈₉	—	4	1	no	—
780	C₄×C₈₉	—	4	1	no	—
781	C₄×C₈₉	—	4	1	no	—
782	C₄×C₈₉	—	4	1	no	—
783	C₄×C₈₉	—	4	1	no	—
784	C₄×C₈₉	—	4	1	no	—
785	C₄×C₈₉	—	4	1	no	—
786	Dic₈₉	—	4	1	no	—
787	Dic₈₉	—	4	1	no	—
788	Dic₈₉	—	4	1	no	—
789	Dic₈₉	—	4	1	no	—
790	Dic₈₉	—	4	1	no	—
791	Dic₈₉	—	4	1	no	—
792	Dic₈₉	—	4	1	no	—
793	Dic₈₉	—	4	1	no	—
794	Dic₈₉	—	4	1	no	—
795	Dic₈₉	—	4	1	no	—
796	Dic₈₉	—	4	1	no	—
797	#36777	—	89	1	no	maximal, Sylow
798	C₂×C₈₉	—	2	4	no	—
799	C₂×C₈₉	C₂×#540	1	1	yes	characteristic
800	C₂×C₈₉	#3492	1	1	yes	characteristic
801	C₂×C₈₉	#3505	1	1	yes	characteristic
802	C₂×C₈₉	#3532	1	1	yes	characteristic
803	C₂×C₈₉	#3534	1	1	yes	characteristic
804	C₂×C₈₉	#3535	1	1	yes	characteristic
805	C₂×C₈₉	#3536	1	1	yes	characteristic
806	D₈₉	—	4	2	no	—
807	D₈₉	—	4	2	no	—
808	D₈₉	—	8	1	no	—
809	D₈₉	—	8	1	no	—
810	D₈₉	—	8	1	no	—
811	#2849	—	89	1	no	—
812	#2847	—	89	1	no	—
813	#2780	—	89	1	no	—
814	#2780	—	89	1	no	—
815	#2768	—	89	1	no	—
816	#2761	—	89	1	no	—
817	#2753	—	89	1	no	—
818	#2749	—	89	1	no	—
819	#2748	—	89	1	no	—
820	#2743	—	89	1	no	—
821	#2738	—	89	1	no	—
822	#2711	—	89	1	no	—
823	#2707	—	89	1	no	—
824	#2706	—	89	1	no	—
825	#2701	—	89	1	no	—
826	#2701	—	89	1	no	—
827	#2688	—	89	1	no	—
828	#2671	—	89	1	no	—
829	#2623	—	89	1	no	—
830	#2618	—	89	1	no	—
831	#2539	—	89	1	no	—
832	#2534	—	89	1	no	—
833	#2442	D₈₉	1	1	yes	characteristic, complemented
834	#2425	—	89	1	no	—
835	#2424	—	89	1	no	—
836	#2419	—	89	1	no	—
837	#2418	—	89	1	no	—
838	#2416	—	89	1	no	—
839	#2325	—	89	1	no	—
840	#2318	—	89	1	no	—
841	C₂×#385	—	89	1	no	—
842	C₈₉	#36777	1	1	yes	characteristic, complemented, Sylow
843	C₂⁴×C₄	—	89	1	no	—
844	C₂×#125	C₂×D₈₉	1	1	yes	characteristic, complemented
845	C₂×#123	—	89	1	no	—
846	C₂×#123	—	89	1	no	—
847	C₂×#123	—	89	1	no	—
848	C₂×#123	—	89	1	no	—
849	C₂×#123	—	89	1	no	—
850	C₂×#123	—	89	1	no	—
851	C₂×#121	—	89	1	no	—
852	C₂×#121	—	89	1	no	—
853	C₂×#121	—	89	1	no	—
854	C₂×#121	—	89	1	no	—
855	C₂×#121	—	89	1	no	—
856	C₂×#121	—	89	1	no	—
857	C₂×#121	—	89	1	no	—
858	C₂×#120	—	89	1	no	—
859	C₂×#120	—	89	1	no	—
860	C₂×#120	—	89	1	no	—
861	C₂×C₄×D₄	—	89	1	no	—
862	C₂×C₄×D₄	—	89	1	no	—
863	C₂×C₄×D₄	—	89	1	no	—
864	C₂²×C₄⋊C₄	—	89	1	no	—
865	C₂²×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
866	C₂²×C₂²⋊C₄	—	89	1	no	—
867	C₂²×C₂²⋊C₄	—	89	1	no	—
868	#400	—	89	1	no	—
869	#400	—	89	1	no	—
870	#400	—	89	1	no	—
871	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
872	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
873	#399	—	89	1	no	—
874	#399	—	89	1	no	—
875	#399	—	89	1	no	—
876	#399	—	89	1	no	—
877	#399	—	89	1	no	—
878	#398	—	89	1	no	—
879	#398	—	89	1	no	—
880	#398	—	89	1	no	—
881	#398	—	89	1	no	—
882	#398	—	89	1	no	—
883	#398	—	89	1	no	—
884	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
885	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
886	#397	—	89	1	no	—
887	#397	—	89	1	no	—
888	#397	—	89	1	no	—
889	#397	—	89	1	no	—
890	#397	—	89	1	no	—
891	#397	—	89	1	no	—
892	#396	—	89	1	no	—
893	#396	—	89	1	no	—
894	#396	—	89	1	no	—
895	#396	—	89	1	no	—
896	#396	—	89	1	no	—
897	#396	—	89	1	no	—
898	#396	—	89	1	no	—
899	#396	—	89	1	no	—
900	#396	—	89	1	no	—
901	#396	—	89	1	no	—
902	#394	—	89	1	no	—
903	#394	—	89	1	no	—
904	#394	—	89	1	no	—
905	#394	—	89	1	no	—
906	#394	—	89	1	no	—
907	#394	—	89	1	no	—
908	#394	—	89	1	no	—
909	#394	—	89	1	no	—
910	#394	—	89	1	no	—
911	#394	—	89	1	no	—
912	#394	—	89	1	no	—
913	#392	—	89	1	no	—
914	#392	—	89	1	no	—
915	#392	—	89	1	no	—
916	#390	—	89	1	no	—
917	#390	—	89	1	no	—
918	#390	—	89	1	no	—
919	#390	—	89	1	no	—
920	#390	—	89	1	no	—
921	#390	—	89	1	no	—
922	#389	—	89	1	no	—
923	#389	—	89	1	no	—
924	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
925	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
926	#388	—	89	1	no	—
927	#388	—	89	1	no	—
928	#388	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	—	89	1	no	—
931	#388	—	89	1	no	—
932	#388	—	89	1	no	—
933	#388	—	89	1	no	—
934	#388	—	89	1	no	—
935	#388	—	89	1	no	—
936	#387	—	89	1	no	—
937	#387	—	89	1	no	—
938	#387	—	89	1	no	—
939	#387	—	89	1	no	—
940	#387	—	89	1	no	—
941	#387	—	89	1	no	—
942	#386	—	89	1	no	—
943	#386	—	89	1	no	—
944	#386	—	89	1	no	—
945	#386	—	89	1	no	—
946	#386	—	89	1	no	—
947	#386	—	89	1	no	—
948	#386	—	89	1	no	—
949	#386	—	89	1	no	—
950	#386	—	89	1	no	—
951	#386	—	89	1	no	—
952	#386	—	89	1	no	—
953	#386	—	89	1	no	—
954	#386	—	89	1	no	—
955	#386	—	89	1	no	—
956	#386	—	89	1	no	—
957	#386	—	89	1	no	—
958	#386	—	89	1	no	—
959	#386	—	89	1	no	—
960	#386	—	89	1	no	—
961	#385	—	89	1	no	—
962	#385	—	89	1	no	—
963	#385	—	89	1	no	—
964	#385	—	89	1	no	—
965	#385	—	89	1	no	—
966	#385	—	89	1	no	—
967	#385	—	89	1	no	—
968	#385	—	89	1	no	—
969	#385	—	89	1	no	—
970	#385	—	89	1	no	—
971	#385	—	89	1	no	—
972	#385	—	89	1	no	—
973	#385	—	89	1	no	—
974	#385	—	89	1	no	—
975	#385	—	89	1	no	—
976	#385	C₂×D₈₉	1	1	yes	characteristic
977	#385	C₂×D₈₉	1	1	yes	characteristic
978	#383	—	89	1	no	—
979	#382	—	89	1	no	—
980	#382	C₂×D₈₉	1	1	yes	characteristic, complemented
981	#381	—	89	1	no	—
982	#381	—	89	1	no	—
983	#381	—	89	1	no	—
984	#381	—	89	1	no	—
985	#381	—	89	1	no	—
986	#380	—	89	1	no	—
987	#380	—	89	1	no	—
988	#380	—	89	1	no	—
989	#380	—	89	1	no	—
990	#380	—	89	1	no	—
991	#380	C₂×D₈₉	1	1	yes	characteristic
992	#380	C₂×D₈₉	1	1	yes	characteristic
993	#380	C₂×D₈₉	1	1	yes	characteristic
994	#379	—	89	1	no	—
995	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
996	C₂×#95	—	89	1	no	—
997	C₂×#95	—	89	1	no	—
998	C₂⁵	—	89	1	no	—
999	C₂²×D₄	—	89	1	no	—
1000	C₂²×D₄	—	89	1	no	—
1001	C₂²×D₄	—	89	1	no	—
1002	C₂²×D₄	—	89	1	no	—
1003	C₂²×D₄	—	89	1	no	—
1004	C₂²×D₄	—	89	1	no	—
1005	C₂²×D₄	—	89	1	no	—
1006	C₂²×D₄	—	89	1	no	—
1007	C₂²×D₄	—	89	1	no	—
1008	C₂²×D₄	—	89	1	no	—
1009	C₂²×D₄	—	89	1	no	—
1010	C₂²×D₄	—	89	1	no	—
1011	C₂³×C₄	—	89	1	no	—
1012	C₂³×C₄	—	89	1	no	—
1013	C₂³×C₄	—	89	1	no	—
1014	C₂³×C₄	—	89	1	no	—
1015	C₂³×C₄	—	89	1	no	—
1016	C₂³×C₄	—	89	1	no	—
1017	C₂³×C₄	—	89	1	no	—
1018	C₂³×C₄	—	89	1	no	—
1019	C₂³×C₄	—	89	1	no	—
1020	C₂³×C₄	—	89	1	no	—
1021	C₂³×C₄	—	356	2	no	—
1022	C₂³×C₄	—	356	2	no	—
1023	C₂³×C₄	—	356	2	no	—
1024	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1025	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	#125	—	4	2	no	—
1028	#123	—	356	2	no	—
1029	#123	—	356	2	no	—
1030	#123	—	356	2	no	—
1031	#123	—	356	2	no	—
1032	#123	—	356	2	no	—
1033	#123	—	356	2	no	—
1034	#121	—	356	2	no	—
1035	#121	—	356	2	no	—
1036	#121	—	356	2	no	—
1037	#121	—	356	2	no	—
1038	#121	—	356	2	no	—
1039	#121	—	356	2	no	—
1040	#121	—	178	4	no	—
1041	#120	—	356	2	no	—
1042	#120	—	356	2	no	—
1043	#120	—	356	2	no	—
1044	C₄×D₄	—	356	2	no	—
1045	C₄×D₄	—	356	2	no	—
1046	C₄×D₄	—	178	4	no	—
1047	C₂×C₄⋊C₄	—	4	2	no	—
1048	C₂×C₄⋊C₄	—	89	1	no	—
1049	C₂×C₄⋊C₄	—	89	1	no	—
1050	C₂×C₄⋊C₄	—	89	1	no	—
1051	C₂×C₄⋊C₄	—	89	1	no	—
1052	C₂×C₄⋊C₄	—	89	1	no	—
1053	C₂×C₄⋊C₄	—	89	1	no	—
1054	C₂×C₄⋊C₄	—	89	1	no	—
1055	C₂×C₄⋊C₄	—	89	1	no	—
1056	C₂×C₄⋊C₄	—	89	1	no	—
1057	C₂×C₄⋊C₄	—	89	1	no	—
1058	C₂×C₄⋊C₄	—	89	1	no	—
1059	C₂×C₄⋊C₄	—	89	1	no	—
1060	C₂×C₄⋊C₄	—	89	1	no	—
1061	C₂×C₄⋊C₄	—	89	1	no	—
1062	C₂×C₄⋊C₄	—	89	1	no	—
1063	C₂×C₄⋊C₄	—	89	1	no	—
1064	C₂×C₄⋊C₄	—	89	1	no	—
1065	C₂×C₄⋊C₄	—	89	1	no	—
1066	C₂×C₄⋊C₄	—	89	1	no	—
1067	C₂×C₄⋊C₄	—	89	1	no	—
1068	C₂×C₄⋊C₄	—	356	2	no	—
1069	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	—	89	1	no	—
1084	C₂×C₂²⋊C₄	—	89	1	no	—
1085	C₂×C₂²⋊C₄	—	89	1	no	—
1086	C₂×C₂²⋊C₄	—	89	1	no	—
1087	C₂×C₂²⋊C₄	—	89	1	no	—
1088	C₂×C₂²⋊C₄	—	89	1	no	—
1089	C₂×C₂²⋊C₄	—	89	1	no	—
1090	C₂×C₂²⋊C₄	—	89	1	no	—
1091	C₂×C₂²⋊C₄	—	89	1	no	—
1092	C₂×C₂²⋊C₄	—	89	1	no	—
1093	C₂×C₂²⋊C₄	—	89	1	no	—
1094	C₂×C₂²⋊C₄	—	89	1	no	—
1095	C₂×C₂²⋊C₄	—	89	1	no	—
1096	C₂×C₂²⋊C₄	—	89	1	no	—
1097	C₂×C₂²⋊C₄	—	89	1	no	—
1098	C₂×C₂²⋊C₄	—	89	1	no	—
1099	C₂×C₂²⋊C₄	—	89	1	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	89	1	no	—
1107	C₂×C₂²⋊C₄	—	89	1	no	—
1108	C₂×C₂²⋊C₄	—	89	1	no	—
1109	C₂×C₂²⋊C₄	—	89	1	no	—
1110	C₂×C₂²⋊C₄	—	89	1	no	—
1111	C₂×C₂²⋊C₄	—	89	1	no	—
1112	C₂×C₂²⋊C₄	—	89	1	no	—
1113	C₂×C₂²⋊C₄	—	89	1	no	—
1114	C₂×C₂²⋊C₄	—	89	1	no	—
1115	C₂×C₂²⋊C₄	—	89	1	no	—
1116	C₂×C₂²⋊C₄	—	89	1	no	—
1117	C₂×C₂²⋊C₄	—	89	1	no	—
1118	C₂×C₂²⋊C₄	—	89	1	no	—
1119	C₂×C₂²⋊C₄	—	89	1	no	—
1120	C₂×C₂²⋊C₄	—	89	1	no	—
1121	C₂×C₂²⋊C₄	—	89	1	no	—
1122	C₂×C₂²⋊C₄	—	89	1	no	—
1123	C₂×C₂²⋊C₄	—	89	1	no	—
1124	C₂×C₂²⋊C₄	—	89	1	no	—
1125	C₂×C₂²⋊C₄	—	89	1	no	—
1126	C₂×C₂²⋊C₄	—	89	1	no	—
1127	C₂×C₂²⋊C₄	—	89	1	no	—
1128	C₂×C₂²⋊C₄	—	89	1	no	—
1129	C₂×C₂²⋊C₄	—	356	2	no	—
1130	C₂×C₂²⋊C₄	—	178	4	no	—
1131	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1135	C₂×C₄²	—	89	1	no	—
1136	C₂×C₄²	—	89	1	no	—
1137	C₂×C₄²	—	89	1	no	—
1138	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1139	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1140	#95	—	89	1	no	—
1141	#95	—	89	1	no	—
1142	#95	—	89	1	no	—
1143	#95	—	89	1	no	—
1144	#95	—	89	1	no	—
1145	#95	—	89	1	no	—
1146	#95	—	89	1	no	—
1147	#95	—	89	1	no	—
1148	#95	—	89	1	no	—
1149	#95	—	89	1	no	—
1150	#95	—	89	1	no	—
1151	#95	—	89	1	no	—
1152	#95	—	89	1	no	—
1153	#95	—	89	1	no	—
1154	#95	—	89	1	no	—
1155	#95	—	89	1	no	—
1156	#95	—	89	1	no	—
1157	#95	—	89	1	no	—
1158	#95	—	89	1	no	—
1159	#95	—	89	1	no	—
1160	#95	—	89	1	no	—
1161	#95	—	89	1	no	—
1162	#95	—	89	1	no	—
1163	#95	—	89	1	no	—
1164	#95	—	89	1	no	—
1165	#95	—	89	1	no	—
1166	#95	—	89	1	no	—
1167	#95	—	89	1	no	—
1168	#95	C₂²×D₈₉	1	1	yes	characteristic
1169	#95	C₂²×D₈₉	1	1	yes	characteristic
1170	#95	C₂²×D₈₉	1	1	yes	characteristic
1171	#95	C₂²×D₈₉	1	1	yes	characteristic
1172	#95	C₂²×D₈₉	1	1	yes	characteristic
1173	#95	C₂²×D₈₉	1	1	yes	characteristic
1174	#95	C₂²×D₈₉	1	1	yes	characteristic
1175	#95	C₂²×D₈₉	1	1	yes	characteristic
1176	#95	C₂²×D₈₉	1	1	yes	characteristic
1177	#95	C₂²×D₈₉	1	1	yes	characteristic
1178	#95	C₂²×D₈₉	1	1	yes	characteristic
1179	#95	C₂²×D₈₉	1	1	yes	characteristic
1180	C₂⁴	—	89	1	no	—
1181	C₂⁴	—	89	1	no	—
1182	C₂⁴	—	89	1	no	—
1183	C₂⁴	—	89	1	no	—
1184	C₂⁴	—	89	1	no	—
1185	C₂⁴	—	356	1	no	—
1186	C₂⁴	—	356	1	no	—
1187	C₂⁴	—	178	2	no	—
1188	C₂⁴	—	178	2	no	—
1189	C₂⁴	—	178	2	no	—
1190	C₂⁴	—	178	2	no	—
1191	C₂⁴	—	178	2	no	—
1192	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1193	C₂×D₄	—	356	1	no	—
1194	C₂×D₄	—	356	1	no	—
1195	C₂×D₄	—	356	1	no	—
1196	C₂×D₄	—	356	1	no	—
1197	C₂×D₄	—	356	1	no	—
1198	C₂×D₄	—	356	1	no	—
1199	C₂×D₄	—	356	1	no	—
1200	C₂×D₄	—	356	1	no	—
1201	C₂×D₄	—	356	1	no	—
1202	C₂×D₄	—	356	1	no	—
1203	C₂×D₄	—	356	1	no	—
1204	C₂×D₄	—	356	1	no	—
1205	C₂×D₄	—	356	1	no	—
1206	C₂×D₄	—	356	1	no	—
1207	C₂×D₄	—	356	1	no	—
1208	C₂×D₄	—	356	1	no	—
1209	C₂×D₄	—	356	1	no	—
1210	C₂×D₄	—	356	1	no	—
1211	C₂×D₄	—	356	1	no	—
1212	C₂×D₄	—	178	2	no	—
1213	C₂×D₄	—	178	2	no	—
1214	C₂×D₄	—	178	2	no	—
1215	C₂×D₄	—	178	2	no	—
1216	C₂×D₄	—	178	2	no	—
1217	C₂×D₄	—	178	2	no	—
1218	C₂×D₄	—	178	2	no	—
1219	C₂×D₄	—	178	2	no	—
1220	C₂×D₄	—	178	2	no	—
1221	C₂×D₄	—	178	2	no	—
1222	C₂×D₄	—	178	2	no	—
1223	C₂×D₄	—	178	2	no	—
1224	C₂×D₄	—	178	2	no	—
1225	C₂×D₄	—	178	2	no	—
1226	C₂×D₄	—	178	2	no	—
1227	C₂×D₄	—	178	2	no	—
1228	C₂×D₄	—	178	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	2	2	no	—
1231	C₂²×C₄	—	2	2	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	89	1	no	—
1238	C₂²×C₄	—	89	1	no	—
1239	C₂²×C₄	—	89	1	no	—
1240	C₂²×C₄	—	89	1	no	—
1241	C₂²×C₄	—	89	1	no	—
1242	C₂²×C₄	—	89	1	no	—
1243	C₂²×C₄	—	89	1	no	—
1244	C₂²×C₄	—	89	1	no	—
1245	C₂²×C₄	—	89	1	no	—
1246	C₂²×C₄	—	89	1	no	—
1247	C₂²×C₄	—	89	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	—	356	1	no	—
1258	C₂²×C₄	—	356	1	no	—
1259	C₂²×C₄	—	356	1	no	—
1260	C₂²×C₄	—	356	1	no	—
1261	C₂²×C₄	—	356	1	no	—
1262	C₂²×C₄	—	356	1	no	—
1263	C₂²×C₄	—	356	1	no	—
1264	C₂²×C₄	—	356	16	no	—
1265	C₂²×C₄	—	356	1	no	—
1266	C₂²×C₄	—	356	1	no	—
1267	C₂²×C₄	—	356	1	no	—
1268	C₂²×C₄	—	356	1	no	—
1269	C₂²×C₄	—	178	2	no	—
1270	C₂²×C₄	—	178	2	no	—
1271	C₂²×C₄	—	178	2	no	—
1272	C₂²×C₄	—	178	2	no	—
1273	C₂²×C₄	—	178	2	no	—
1274	C₂²×C₄	—	178	2	no	—
1275	C₂²×C₄	—	178	2	no	—
1276	C₂²×C₄	—	178	2	no	—
1277	C₂²×C₄	—	178	2	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	#13083575	1	4	yes	—
1280	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	356	1	no	—
1309	C₄⋊C₄	—	356	1	no	—
1310	C₄⋊C₄	—	356	1	no	—
1311	C₄⋊C₄	—	356	1	no	—
1312	C₄⋊C₄	—	356	1	no	—
1313	C₄⋊C₄	—	356	1	no	—
1314	C₄⋊C₄	—	356	1	no	—
1315	C₄⋊C₄	—	356	1	no	—
1316	C₄⋊C₄	—	356	1	no	—
1317	C₄⋊C₄	—	356	1	no	—
1318	C₄⋊C₄	—	356	1	no	—
1319	C₄⋊C₄	—	356	1	no	—
1320	C₄⋊C₄	—	356	1	no	—
1321	C₄⋊C₄	—	356	1	no	—
1322	C₄⋊C₄	—	356	1	no	—
1323	C₄⋊C₄	—	356	1	no	—
1324	C₄⋊C₄	—	356	1	no	—
1325	C₄⋊C₄	—	356	1	no	—
1326	C₄⋊C₄	—	178	2	no	—
1327	C₄⋊C₄	—	178	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	356	1	no	—
1333	C₂²⋊C₄	—	356	1	no	—
1334	C₂²⋊C₄	—	356	1	no	—
1335	C₂²⋊C₄	—	356	1	no	—
1336	C₂²⋊C₄	—	356	1	no	—
1337	C₂²⋊C₄	—	356	1	no	—
1338	C₂²⋊C₄	—	356	1	no	—
1339	C₂²⋊C₄	—	356	1	no	—
1340	C₂²⋊C₄	—	356	1	no	—
1341	C₂²⋊C₄	—	356	1	no	—
1342	C₂²⋊C₄	—	356	1	no	—
1343	C₂²⋊C₄	—	356	1	no	—
1344	C₂²⋊C₄	—	356	1	no	—
1345	C₂²⋊C₄	—	356	1	no	—
1346	C₂²⋊C₄	—	356	1	no	—
1347	C₂²⋊C₄	—	356	1	no	—
1348	C₂²⋊C₄	—	356	1	no	—
1349	C₂²⋊C₄	—	356	1	no	—
1350	C₂²⋊C₄	—	356	1	no	—
1351	C₂²⋊C₄	—	356	1	no	—
1352	C₂²⋊C₄	—	356	1	no	—
1353	C₂²⋊C₄	—	356	1	no	—
1354	C₂²⋊C₄	—	356	1	no	—
1355	C₂²⋊C₄	—	356	1	no	—
1356	C₂²⋊C₄	—	356	1	no	—
1357	C₂²⋊C₄	—	356	1	no	—
1358	C₂²⋊C₄	—	356	1	no	—
1359	C₂²⋊C₄	—	356	1	no	—
1360	C₂²⋊C₄	—	356	1	no	—
1361	C₂²⋊C₄	—	356	1	no	—
1362	C₂²⋊C₄	—	356	1	no	—
1363	C₂²⋊C₄	—	356	1	no	—
1364	C₂²⋊C₄	—	356	1	no	—
1365	C₂²⋊C₄	—	178	2	no	—
1366	C₂²⋊C₄	—	178	2	no	—
1367	C₂²⋊C₄	—	178	2	no	—
1368	C₂²⋊C₄	—	178	2	no	—
1369	C₂²⋊C₄	—	178	2	no	—
1370	C₂²⋊C₄	—	178	2	no	—
1371	C₂²⋊C₄	—	178	2	no	—
1372	C₂²⋊C₄	—	178	2	no	—
1373	C₂²⋊C₄	—	178	2	no	—
1374	C₂²⋊C₄	—	178	2	no	—
1375	C₂²⋊C₄	—	178	2	no	—
1376	C₂²⋊C₄	—	178	2	no	—
1377	C₂²⋊C₄	—	178	2	no	—
1378	C₄²	—	4	1	no	—
1379	C₄²	—	4	1	no	—
1380	C₄²	—	356	1	no	—
1381	C₄²	—	356	1	no	—
1382	C₄²	—	178	2	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	89	2	no	—
1388	C₂³	—	89	2	no	—
1389	C₂³	—	356	4	no	—
1390	C₂³	—	356	4	no	—
1391	C₂³	—	356	4	no	—
1392	C₂³	—	356	4	no	—
1393	C₂³	—	356	4	no	—
1394	C₂³	—	356	4	no	—
1395	C₂³	—	178	8	no	—
1396	C₂³	—	178	1	no	—
1397	C₂³	—	178	1	no	—
1398	C₂³	—	178	1	no	—
1399	C₂³	—	178	1	no	—
1400	C₂³	—	178	1	no	—
1401	C₂³	—	178	1	no	—
1402	C₂³	—	178	1	no	—
1403	C₂³	—	178	1	no	—
1404	C₂³	—	178	1	no	—
1405	C₂³	—	178	1	no	—
1406	C₂³	—	178	1	no	—
1407	C₂³	—	178	1	no	—
1408	C₂³	—	178	1	no	—
1409	C₂³	—	178	1	no	—
1410	C₂³	—	178	1	no	—
1411	C₂³	—	178	1	no	—
1412	C₂³	—	178	1	no	—
1413	C₂³	—	178	1	no	—
1414	C₂³	—	178	1	no	—
1415	C₂³	—	178	1	no	—
1416	C₂³	—	178	1	no	—
1417	C₂³	—	178	1	no	—
1418	C₂³	—	178	1	no	—
1419	C₂³	—	178	1	no	—
1420	C₂³	—	178	1	no	—
1421	C₂³	—	178	1	no	—
1422	C₂³	—	178	1	no	—
1423	C₂³	—	178	1	no	—
1424	C₂³	—	178	1	no	—
1425	C₂³	—	178	1	no	—
1426	C₂³	—	178	1	no	—
1427	C₂³	—	178	1	no	—
1428	C₂³	—	178	1	no	—
1429	C₂³	C₂×#13083575	1	2	yes	—
1430	C₂³	#15668058	1	2	yes	—
1431	C₂³	#15668058	1	2	yes	—
1432	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1433	D₄	—	356	4	no	—
1434	D₄	—	356	4	no	—
1435	D₄	—	356	4	no	—
1436	D₄	—	712	2	no	—
1437	D₄	—	712	2	no	—
1438	D₄	—	712	2	no	—
1439	D₄	—	712	2	no	—
1440	D₄	—	712	2	no	—
1441	D₄	—	712	2	no	—
1442	D₄	—	712	2	no	—
1443	D₄	—	712	2	no	—
1444	D₄	—	712	2	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	4	4	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	8	2	no	—
1487	C₂×C₄	—	356	4	no	—
1488	C₂×C₄	—	356	4	no	—
1489	C₂×C₄	—	356	4	no	—
1490	C₂×C₄	—	356	4	no	—
1491	C₂×C₄	—	356	4	no	—
1492	C₂×C₄	—	356	4	no	—
1493	C₂×C₄	—	178	1	no	—
1494	C₂×C₄	—	178	1	no	—
1495	C₂×C₄	—	178	1	no	—
1496	C₂×C₄	—	178	1	no	—
1497	C₂×C₄	—	178	1	no	—
1498	C₂×C₄	—	178	1	no	—
1499	C₂×C₄	—	178	1	no	—
1500	C₂×C₄	—	178	1	no	—
1501	C₂×C₄	—	178	1	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	—	178	1	no	—
1516	C₂×C₄	—	178	1	no	—
1517	C₂×C₄	—	178	1	no	—
1518	C₂×C₄	—	178	1	no	—
1519	C₂×C₄	—	178	1	no	—
1520	C₂×C₄	—	178	1	no	—
1521	C₂×C₄	—	178	1	no	—
1522	C₂×C₄	—	178	1	no	—
1523	C₂×C₄	—	178	1	no	—
1524	C₂×C₄	—	178	1	no	—
1525	C₂×C₄	—	178	1	no	—
1526	C₂×C₄	—	712	2	no	—
1527	C₂×C₄	—	712	2	no	—
1528	C₂×C₄	—	712	2	no	—
1529	C₂×C₄	—	712	2	no	—
1530	C₂×C₄	C₂×#13083575	1	2	yes	—
1531	C₂×C₄	C₂×#13083575	1	2	yes	—
1532	C₂×C₄	#15668057	1	2	yes	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	356	16	no	—
1540	C₂²	—	356	1	no	—
1541	C₂²	—	356	1	no	—
1542	C₂²	—	356	1	no	—
1543	C₂²	—	356	1	no	—
1544	C₂²	—	356	1	no	—
1545	C₂²	—	356	1	no	—
1546	C₂²	—	356	1	no	—
1547	C₂²	—	356	1	no	—
1548	C₂²	—	356	1	no	—
1549	C₂²	—	356	1	no	—
1550	C₂²	—	356	1	no	—
1551	C₂²	—	356	1	no	—
1552	C₂²	—	356	1	no	—
1553	C₂²	—	356	1	no	—
1554	C₂²	—	356	1	no	—
1555	C₂²	—	356	1	no	—
1556	C₂²	—	356	1	no	—
1557	C₂²	—	356	1	no	—
1558	C₂²	—	356	1	no	—
1559	C₂²	—	356	1	no	—
1560	C₂²	—	356	1	no	—
1561	C₂²	—	356	1	no	—
1562	C₂²	—	356	1	no	—
1563	C₂²	—	356	1	no	—
1564	C₂²	—	356	1	no	—
1565	C₂²	—	356	1	no	—
1566	C₂²	—	356	1	no	—
1567	C₂²	—	356	1	no	—
1568	C₂²	—	356	1	no	—
1569	C₂²	—	178	2	no	—
1570	C₂²	—	178	2	no	—
1571	C₂²	—	178	2	no	—
1572	C₂²	—	178	2	no	—
1573	C₂²	—	178	2	no	—
1574	C₂²	—	178	2	no	—
1575	C₂²	#19152204	1	4	yes	—
1576	C₂²	C₂²×#13083575	1	1	yes	characteristic
1577	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1578	C₂²	C₂×#15668057	1	1	yes	characteristic
1579	C₂²	C₂×#15668058	1	1	yes	characteristic
1580	C₂²	C₂×#15668058	1	1	yes	characteristic
1581	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1582	C₂²	#19152434	1	1	yes	characteristic
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	2	2	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	356	1	no	—
1598	C₄	—	356	1	no	—
1599	C₄	—	356	1	no	—
1600	C₄	—	356	1	no	—
1601	C₄	—	356	1	no	—
1602	C₄	—	356	1	no	—
1603	C₄	—	356	1	no	—
1604	C₄	—	356	1	no	—
1605	C₄	—	356	1	no	—
1606	C₄	—	356	1	no	—
1607	C₄	—	356	1	no	—
1608	C₂	—	2	4	no	—
1609	C₂	—	356	2	no	—
1610	C₂	—	356	2	no	—
1611	C₂	—	712	1	no	—
1612	C₂	—	712	1	no	—
1613	C₂	—	712	1	no	—
1614	C₂	C₂×#19152204	1	1	yes	characteristic
1615	C₂	#26033962	1	1	yes	characteristic
1616	C₂	#26034093	1	1	yes	characteristic
1617	C₂	#26034401	1	1	yes	characteristic
1618	C₂	#26034429	1	1	yes	characteristic
1619	C₂	#26034464	1	1	yes	characteristic
1620	C₂	#26034468	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2442	C₂
hypercenter	#2442	D₈₉
hypocenter	C₈₉	#36777
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2442

Complements

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

N	H ≅ G/N	type
1. #26028547	C₂	semidirect
2. #26028535	C₂	semidirect
3. #26027894	C₂	semidirect
4. #26027894	C₂	semidirect
5. #26027738	C₂	semidirect
6. #26027642	C₂	semidirect
7. #26027525	C₂	semidirect
8. #26027482	C₂	semidirect
9. #26027464	C₂	semidirect
10. #26027390	C₂	semidirect
11. #26027321	C₂	semidirect
12. #26027005	C₂	semidirect
13. #26026949	C₂	semidirect
14. #26026942	C₂	semidirect
15. #26026860	C₂	semidirect
16. #26026860	C₂	semidirect
17. #26026695	C₂	semidirect
18. #26026495	C₂	semidirect
19. #26026038	C₂	semidirect
20. #26025997	C₂	semidirect
21. #26025178	C₂	semidirect
22. #26025144	C₂	semidirect
23. #26023801	C₂	semidirect
24. #26023786	C₂	semidirect
25. #26023735	C₂	semidirect
26. #26023720	C₂	semidirect
27. #26023686	C₂	semidirect
28. #26022952	C₂	semidirect
29. #26022879	C₂	semidirect
30. C₂×#19151469	C₂	semidirect
31. C₈₉×#2442	C₂	semidirect
42. C₂×#15667987	C₂²	semidirect
55. #19151540	C₂²	semidirect
56. #19151540	C₂²	semidirect
57. #19151540	C₂²	semidirect
61. #19151533	C₂²	semidirect
62. #19151533	C₂²	semidirect
63. #19151531	C₂²	semidirect
64. #19151531	C₂²	semidirect
65. #19151531	C₂²	semidirect
66. #19151530	C₂²	semidirect
67. #19151530	C₂²	semidirect
68. #19151530	C₂²	semidirect
70. #19151527	C₂²	semidirect
71. #19151527	C₂²	semidirect
72. #19151527	C₂²	semidirect
73. #19151525	C₂²	semidirect
74. #19151524	C₂²	semidirect
78. #19151520	C₂²	semidirect
79. #19151520	C₂²	semidirect
80. #19151520	C₂²	semidirect
81. #19151520	C₂²	semidirect
82. #19151520	C₂²	semidirect
83. #19151520	C₂²	semidirect
84. #19151520	C₂²	semidirect
87. #19151516	C₂²	semidirect
88. #19151516	C₂²	semidirect
93. #19151515	C₂²	semidirect
94. #19151515	C₂²	semidirect
95. #19151515	C₂²	semidirect
104. #19151499	C₂²	semidirect
105. #19151497	C₂²	semidirect
106. #19151497	C₂²	semidirect
110. #19151490	C₂²	semidirect
111. #19151489	C₂²	semidirect
112. #19151489	C₂²	semidirect
114. #19151488	C₂²	semidirect
115. #19151488	C₂²	semidirect
117. #19151485	C₂²	semidirect
118. #19151484	C₂²	semidirect
119. #19151482	C₂²	semidirect
120. #19151482	C₂²	semidirect
121. #19151481	C₂²	semidirect
122. #19151481	C₂²	semidirect
135. #19151476	C₂²	semidirect
136. #19151476	C₂²	semidirect
137. #19151476	C₂²	semidirect
154. #19151469	C₂²	semidirect
155. #19151469	C₂²	semidirect
156. #19151469	C₂²	semidirect
157. #19151465	C₂²	semidirect
158. #19151462	C₂²	semidirect
161. #19151460	C₂²	semidirect
162. #19151460	C₂²	semidirect
164. #19151457	C₂²	semidirect
167. #19151455	C₂²	semidirect
168. #19151455	C₂²	semidirect
172. C₂×#125×C₈₉	C₂²	semidirect
174. #400×C₈₉	C₂²	semidirect
175. #400×C₈₉	C₂²	semidirect
176. #398×C₈₉	C₂²	semidirect
177. #398×C₈₉	C₂²	semidirect
178. #389×C₈₉	C₂²	semidirect
179. #389×C₈₉	C₂²	semidirect
182. #382×C₈₉	C₂²	semidirect
833. #2442	D₈₉	semidirect
842. C₈₉	#36777	semidirect
844. C₂×#125	C₂×D₈₉	semidirect
871. #400	C₂×D₈₉	semidirect
872. #400	C₂×D₈₉	semidirect
884. #398	C₂×D₈₉	semidirect
885. #398	C₂×D₈₉	semidirect
924. #389	C₂×D₈₉	semidirect
925. #389	C₂×D₈₉	semidirect
980. #382	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26028547	2
#26028535	2
#26027894	2
#26027738	2
#26027642	2
#26027525	2
#26027482	2
#26027464	2
#26027390	2
#26027321	2
#26027005	2
#26026949	2
#26026942	2
#26026860	2
#26026695	2
#26026495	2
#26026038	2
#26025997	2
#26025178	2
#26025144	2
#26023801	2
#26023786	2
#26023735	2
#26023720	2
#26023686	2
#26022952	2
#26022879	2
C₂×#19151469	2
C₈₉×#2442	2
#36777	89