Subgroups — #36727177

Order 22784.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028570	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028570	C₂	1	1	yes	maximal, characteristic, complemented
3	#26028566	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028564	C₂	1	1	yes	maximal, characteristic, complemented
5	#26026209	C₂	1	1	yes	maximal, characteristic, complemented
6	#26026206	C₂	1	1	yes	maximal, characteristic, complemented
7	#26026206	C₂	1	1	yes	maximal, characteristic, complemented
8	#26026204	C₂	1	1	yes	maximal, characteristic, complemented
9	#26024818	C₂	1	1	yes	maximal, characteristic, complemented
10	#26024814	C₂	1	1	yes	maximal, characteristic, complemented
11	#26024810	C₂	1	1	yes	maximal, characteristic, complemented
12	#26024806	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024642	C₂	1	1	yes	maximal, characteristic, complemented
14	#26024640	C₂	1	1	yes	maximal, characteristic, complemented
15	#26024636	C₂	1	1	yes	maximal, characteristic, complemented
16	#26024630	C₂	1	1	yes	maximal, characteristic, complemented
17	#26024520	C₂	1	1	yes	maximal, characteristic, complemented
18	#26024518	C₂	1	1	yes	maximal, characteristic, complemented
19	#26024507	C₂	1	1	yes	maximal, characteristic, complemented
20	#26024504	C₂	1	1	yes	maximal, characteristic, complemented
21	#26024501	C₂	1	1	yes	maximal, characteristic, complemented
22	#26024494	C₂	1	1	yes	maximal, characteristic, complemented
23	#26024491	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022865	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022863	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022826	C₂	1	1	yes	maximal, characteristic
27	#26022826	C₂	1	1	yes	maximal, characteristic
28	#386×D₈₉	C₂	1	1	yes	maximal, characteristic
29	C₂×#19151469	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2481	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₈₉	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
34	C₂×#15668007	C₂²	1	1	yes	characteristic, complemented
35	C₂×#15668007	C₂²	1	1	yes	characteristic, complemented
36	C₂×#15668005	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#13083553	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#13083551	C₂²	1	1	yes	characteristic
39	C₂²×#13083551	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic, complemented
47	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
48	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
49	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
50	C₈₉⋊#401	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	#19151539	C₂²	1	1	yes	characteristic, complemented
55	#19151538	C₂²	1	1	yes	characteristic, complemented
56	#19151538	C₂²	1	1	yes	characteristic, complemented
57	#19151537	C₂²	1	1	yes	characteristic, complemented
58	#19151536	C₂²	1	1	yes	characteristic, complemented
59	#19151536	C₂²	1	1	yes	characteristic, complemented
60	#19151536	C₂²	1	1	yes	characteristic, complemented
61	#19151527	C₂²	1	1	yes	characteristic, complemented
62	#19151527	C₂²	1	1	yes	characteristic, complemented
63	#19151527	C₂²	1	1	yes	characteristic, complemented
64	#19151527	C₂²	1	1	yes	characteristic, complemented
65	#19151526	C₂²	1	1	yes	characteristic, complemented
66	#19151526	C₂²	1	1	yes	characteristic, complemented
67	#19151526	C₂²	1	1	yes	characteristic, complemented
68	#19151526	C₂²	1	1	yes	characteristic, complemented
69	#19151524	C₂²	1	1	yes	characteristic, complemented
70	#19151524	C₂²	1	1	yes	characteristic, complemented
71	#19151523	C₂²	1	1	yes	characteristic, complemented
72	#19151521	C₂²	1	1	yes	characteristic, complemented
73	#19151520	C₂²	1	1	yes	characteristic, complemented
74	#19151520	C₂²	1	1	yes	characteristic, complemented
75	#19151492	C₂²	1	1	yes	characteristic, complemented
76	#19151491	C₂²	1	1	yes	characteristic, complemented
77	#19151489	C₂²	1	1	yes	characteristic, complemented
78	#19151489	C₂²	1	1	yes	characteristic, complemented
79	#19151488	C₂²	1	1	yes	characteristic, complemented
80	#19151488	C₂²	1	1	yes	characteristic, complemented
81	#19151487	C₂²	1	1	yes	characteristic, complemented
82	#19151487	C₂²	1	1	yes	characteristic, complemented
83	#19151486	C₂²	1	1	yes	characteristic, complemented
84	#19151486	C₂²	1	1	yes	characteristic, complemented
85	#19151486	C₂²	1	1	yes	characteristic, complemented
86	#19151485	C₂²	1	1	yes	characteristic, complemented
87	#19151485	C₂²	1	1	yes	characteristic, complemented
88	#19151484	C₂²	1	1	yes	characteristic, complemented
89	#19151482	C₂²	1	1	yes	characteristic, complemented
90	#19151481	C₂²	1	1	yes	characteristic, complemented
91	#19151480	C₂²	1	1	yes	characteristic, complemented
92	#19151480	C₂²	1	1	yes	characteristic, complemented
93	#19151479	C₂²	1	1	yes	characteristic, complemented
94	#19151479	C₂²	1	1	yes	characteristic, complemented
95	#19151479	C₂²	1	1	yes	characteristic, complemented
96	#19151478	C₂²	1	1	yes	characteristic
97	#19151478	C₂²	1	1	yes	characteristic
98	#19151478	C₂²	1	1	yes	characteristic
99	#19151477	C₂²	1	1	yes	characteristic
100	#19151477	C₂²	1	1	yes	characteristic
101	#19151477	C₂²	1	1	yes	characteristic
102	#19151476	C₂²	1	1	yes	characteristic
103	#19151476	C₂²	1	1	yes	characteristic
104	#19151476	C₂²	1	1	yes	characteristic
105	#19151476	C₂²	1	1	yes	characteristic
106	#19151476	C₂²	1	1	yes	characteristic
107	#19151476	C₂²	1	1	yes	characteristic
108	#19151475	C₂²	1	1	yes	characteristic
109	#19151475	C₂²	1	1	yes	characteristic
110	#19151475	C₂²	1	1	yes	characteristic
111	#19151474	C₂²	1	1	yes	characteristic
112	#19151474	C₂²	1	1	yes	characteristic
113	#19151474	C₂²	1	1	yes	characteristic
114	#19151474	C₂²	1	1	yes	characteristic
115	#19151474	C₂²	1	1	yes	characteristic
116	#19151474	C₂²	1	1	yes	characteristic
117	#19151473	C₂²	1	1	yes	characteristic, complemented
118	#19151472	C₂²	1	1	yes	characteristic
119	#19151472	C₂²	1	1	yes	characteristic
120	#19151472	C₂²	1	1	yes	characteristic, complemented
121	#19151472	C₂²	1	1	yes	characteristic, complemented
122	#19151472	C₂²	1	1	yes	characteristic, complemented
123	#19151472	C₂²	1	1	yes	characteristic, complemented
124	#19151471	C₂²	1	1	yes	characteristic, complemented
125	#19151470	C₂²	1	1	yes	characteristic, complemented
126	#19151469	C₂²	1	1	yes	characteristic
127	#19151469	C₂²	1	1	yes	characteristic
128	#19151469	C₂²	1	1	yes	characteristic
129	#19151469	C₂²	1	1	yes	characteristic
130	#19151469	C₂²	1	1	yes	characteristic
131	#19151469	C₂²	1	1	yes	characteristic
132	#19151469	C₂²	1	1	yes	characteristic, complemented
133	#19151469	C₂²	1	1	yes	characteristic, complemented
134	#19151469	C₂²	1	1	yes	characteristic, complemented
135	#19151469	C₂²	1	1	yes	characteristic, complemented
136	#19151469	C₂²	1	1	yes	characteristic, complemented
137	#19151469	C₂²	1	1	yes	characteristic, complemented
138	#19151469	C₂²	1	1	yes	characteristic, complemented
139	#19151469	C₂²	1	1	yes	characteristic, complemented
140	#19151466	C₂²	1	1	yes	characteristic, complemented
141	#19151465	C₂²	1	1	yes	characteristic, complemented
142	#19151465	C₂²	1	1	yes	characteristic, complemented
143	#19151465	C₂²	1	1	yes	characteristic, complemented
144	#19151460	C₂²	1	1	yes	characteristic
145	#19151460	C₂²	1	1	yes	characteristic
146	#19151460	C₂²	1	1	yes	characteristic
147	#19151460	C₂²	1	1	yes	characteristic
148	#19151458	C₂²	1	1	yes	characteristic, complemented
149	#19151457	C₂²	1	1	yes	characteristic
150	#19151457	C₂²	1	1	yes	characteristic
151	#19151456	C₂²	1	1	yes	characteristic, complemented
152	#19151456	C₂²	1	1	yes	characteristic, complemented
153	#19151455	C₂²	1	1	yes	characteristic
154	#19151455	C₂²	1	1	yes	characteristic
155	#19151453	C₂²	1	1	yes	characteristic
156	#19151453	C₂²	1	1	yes	characteristic
157	#19151453	C₂²	1	1	yes	characteristic
158	#19151453	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
160	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
161	C₄×#13083551	C₂²	1	1	yes	characteristic
162	C₄×#13083551	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
164	#19151445	C₂²	1	1	yes	characteristic
165	#19151445	C₂²	1	1	yes	characteristic
166	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
167	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
168	#95×D₈₉	C₂²	1	1	yes	characteristic
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
171	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂²×C₄⋊C₄×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	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#386×C₈₉	C₂²	1	1	yes	characteristic
182	#386×C₈₉	C₂²	1	1	yes	characteristic
183	#386×C₈₉	C₂²	1	1	yes	characteristic
184	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#380×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
189	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
192	C₂×D₄×D₈₉	—	2	4	no	—
193	C₂×D₄×D₈₉	—	2	4	no	—
194	C₂×D₄×D₈₉	—	2	4	no	—
195	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
196	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₈₉	—	2	4	no	—
199	C₂²×C₄×D₈₉	—	4	2	no	—
200	C₂²×C₄×D₈₉	—	4	2	no	—
201	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
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	#15668007	—	4	2	no	—
213	#15668007	—	4	2	no	—
214	#15668005	—	4	2	no	—
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×#13083553	—	4	2	no	—
220	C₂×#13083553	C₂³	1	1	yes	characteristic
221	C₂×#13083553	C₂³	1	1	yes	characteristic
222	C₂×#13083553	C₂³	1	1	yes	characteristic
223	C₂×#13083553	C₂³	1	1	yes	characteristic
224	C₂×#13083553	C₂³	1	1	yes	characteristic
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×#13083551	—	2	4	no	—
242	C₂×#13083551	—	2	4	no	—
243	C₂×#13083551	C₂³	1	1	yes	characteristic
244	C₂×#13083551	C₂³	1	1	yes	characteristic
245	C₂×#13083551	C₂³	1	1	yes	characteristic
246	C₂×#13083551	C₂³	1	1	yes	characteristic
247	C₂×#13083551	C₂³	1	1	yes	characteristic
248	C₂×#13083551	C₂³	1	1	yes	characteristic
249	C₂×#13083551	C₂³	1	1	yes	characteristic
250	C₂×#13083551	C₂³	1	1	yes	characteristic
251	C₂×#13083551	C₂³	1	1	yes	characteristic
252	C₂×#13083551	C₂³	1	1	yes	characteristic
253	C₂×#13083551	C₂³	1	1	yes	characteristic
254	C₂×#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	C₂²⋊C₄×D₈₉	—	2	4	no	—
270	C₂²⋊C₄×D₈₉	—	2	4	no	—
271	C₂²⋊C₄×D₈₉	—	2	4	no	—
272	C₂²⋊C₄×D₈₉	—	4	2	no	—
273	C₂²⋊C₄×D₈₉	—	4	2	no	—
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
280	C₄²×D₈₉	—	4	2	no	—
281	C₄²×D₈₉	—	4	2	no	—
282	#15667919	C₂³	1	1	yes	characteristic
283	#15667919	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
330	#126×C₈₉	—	4	2	no	—
331	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
332	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×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	#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	C₂³×D₈₉	—	2	2	no	—
364	C₂³×D₈₉	—	2	2	no	—
365	C₂³×D₈₉	—	2	2	no	—
366	C₂³×D₈₉	—	4	1	no	—
367	C₂³×D₈₉	—	4	1	no	—
368	C₂³×D₈₉	—	4	1	no	—
369	C₂³×D₈₉	—	4	1	no	—
370	C₂³×D₈₉	—	4	1	no	—
371	C₂³×D₈₉	—	4	1	no	—
372	C₂³×D₈₉	—	4	1	no	—
373	C₂³×D₈₉	—	4	1	no	—
374	C₂³×D₈₉	#41	1	4	yes	—
375	C₂³×D₈₉	#41	1	4	yes	—
376	C₂³×D₈₉	#41	1	4	yes	—
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	C₂×D₃₅₆	—	2	2	no	—
381	C₂×D₃₅₆	—	2	2	no	—
382	C₂×D₃₅₆	—	2	2	no	—
383	C₂×C₂²⋊D₈₉	—	2	2	no	—
384	C₂×C₂²⋊D₈₉	—	2	2	no	—
385	C₂×C₂²⋊D₈₉	—	2	2	no	—
386	C₂×C₂²⋊D₈₉	—	2	2	no	—
387	C₂×C₂²⋊D₈₉	—	2	2	no	—
388	C₂×C₂²⋊D₈₉	—	2	2	no	—
389	D₄×D₈₉	—	4	16	no	—
390	C₂²×Dic₈₉	—	2	2	no	—
391	C₂²×Dic₈₉	—	2	2	no	—
392	C₂²×Dic₈₉	—	2	2	no	—
393	C₂²×Dic₈₉	—	2	2	no	—
394	C₂²×Dic₈₉	—	4	1	no	—
395	C₂²×Dic₈₉	—	4	1	no	—
396	C₂²×Dic₈₉	—	4	1	no	—
397	C₂²×Dic₈₉	—	4	1	no	—
398	C₂²×Dic₈₉	—	4	1	no	—
399	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
412	C₂×C₄×D₈₉	—	2	2	no	—
413	C₂×C₄×D₈₉	—	2	2	no	—
414	C₂×C₄×D₈₉	—	2	2	no	—
415	C₂×C₄×D₈₉	—	2	2	no	—
416	C₂×C₄×D₈₉	—	2	2	no	—
417	C₂×C₄×D₈₉	—	2	2	no	—
418	C₂×C₄×D₈₉	—	2	2	no	—
419	C₂×C₄×D₈₉	—	2	2	no	—
420	C₂×C₄×D₈₉	—	2	2	no	—
421	C₂×C₄×D₈₉	—	2	2	no	—
422	C₂×C₄×D₈₉	—	2	2	no	—
423	C₂×C₄×D₈₉	—	2	2	no	—
424	C₂×C₄×D₈₉	—	2	2	no	—
425	C₂×C₄×D₈₉	—	2	2	no	—
426	C₂×C₄×D₈₉	—	2	2	no	—
427	C₂×C₄×D₈₉	—	2	2	no	—
428	C₂×C₄×D₈₉	—	2	2	no	—
429	C₂×C₄×D₈₉	—	4	16	no	—
430	C₂×C₄×D₈₉	—	4	1	no	—
431	C₂×C₄×D₈₉	—	4	1	no	—
432	C₂×C₄×D₈₉	—	4	1	no	—
433	C₂×C₄×D₈₉	—	4	1	no	—
434	C₂×C₄×D₈₉	—	4	1	no	—
435	C₂×C₄×D₈₉	—	4	1	no	—
436	C₂×C₄×D₈₉	—	4	1	no	—
437	C₂×C₄×D₈₉	—	4	1	no	—
438	C₂×C₄×D₈₉	—	4	1	no	—
439	C₂×C₄×D₈₉	—	4	1	no	—
440	C₂×C₄×D₈₉	—	4	1	no	—
441	C₂×C₄×D₈₉	—	4	1	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	C₄⋊Dic₈₉	—	4	1	no	—
447	C₄⋊Dic₈₉	—	4	1	no	—
448	C₄⋊Dic₈₉	—	4	1	no	—
449	C₄⋊Dic₈₉	—	4	1	no	—
450	#13083553	—	2	2	no	—
451	#13083553	—	2	2	no	—
452	#13083553	—	4	1	no	—
453	#13083553	—	4	1	no	—
454	#13083553	—	4	1	no	—
455	#13083553	—	4	1	no	—
456	#13083553	—	4	1	no	—
457	#13083553	—	4	1	no	—
458	#13083553	—	4	1	no	—
459	#13083553	—	4	1	no	—
460	#13083553	—	4	1	no	—
461	#13083553	—	4	1	no	—
462	C₂²⋊Dic₈₉	—	2	2	no	—
463	C₂²⋊Dic₈₉	—	2	2	no	—
464	C₂²⋊Dic₈₉	—	2	2	no	—
465	C₂²⋊Dic₈₉	—	2	2	no	—
466	C₂²⋊Dic₈₉	—	4	1	no	—
467	C₂²⋊Dic₈₉	—	4	1	no	—
468	C₂²⋊Dic₈₉	—	4	1	no	—
469	C₂²⋊Dic₈₉	—	4	1	no	—
470	C₂²⋊Dic₈₉	—	4	1	no	—
471	#13083551	—	2	2	no	—
472	#13083551	—	2	2	no	—
473	#13083551	—	2	2	no	—
474	#13083551	—	2	2	no	—
475	#13083551	—	2	2	no	—
476	#13083551	—	2	2	no	—
477	#13083551	—	2	2	no	—
478	#13083551	—	2	2	no	—
479	#13083551	—	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	—	4	1	no	—
488	#13083551	—	4	1	no	—
489	#13083551	—	4	1	no	—
490	#13083551	—	4	1	no	—
491	#13083551	—	4	1	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	C₄×Dic₈₉	—	2	2	no	—
498	C₄×Dic₈₉	—	2	2	no	—
499	C₄×Dic₈₉	—	2	2	no	—
500	C₄×Dic₈₉	—	4	1	no	—
501	C₄×Dic₈₉	—	4	1	no	—
502	C₄×Dic₈₉	—	4	1	no	—
503	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
504	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₈₉	—	2	2	no	—
506	C₂×D₄×C₈₉	—	2	2	no	—
507	C₂×D₄×C₈₉	—	2	2	no	—
508	C₂²×C₄×C₈₉	—	2	2	no	—
509	C₂²×C₄×C₈₉	—	2	2	no	—
510	C₂²×C₄×C₈₉	—	2	2	no	—
511	C₂²×C₄×C₈₉	—	2	2	no	—
512	C₂²×C₄×C₈₉	—	4	1	no	—
513	C₂²×C₄×C₈₉	—	4	1	no	—
514	C₂²×C₄×C₈₉	—	4	1	no	—
515	C₂²×C₄×C₈₉	—	4	1	no	—
516	C₂²×C₄×C₈₉	—	4	1	no	—
517	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
530	C₄⋊C₄×C₈₉	—	2	2	no	—
531	C₄⋊C₄×C₈₉	—	2	2	no	—
532	C₄⋊C₄×C₈₉	—	4	1	no	—
533	C₄⋊C₄×C₈₉	—	4	1	no	—
534	C₄⋊C₄×C₈₉	—	4	1	no	—
535	C₄⋊C₄×C₈₉	—	4	1	no	—
536	C₄⋊C₄×C₈₉	—	4	1	no	—
537	C₄⋊C₄×C₈₉	—	4	1	no	—
538	C₂²⋊C₄×C₈₉	—	2	2	no	—
539	C₂²⋊C₄×C₈₉	—	2	2	no	—
540	C₂²⋊C₄×C₈₉	—	2	2	no	—
541	C₂²⋊C₄×C₈₉	—	2	2	no	—
542	C₂²⋊C₄×C₈₉	—	4	1	no	—
543	C₂²⋊C₄×C₈₉	—	4	1	no	—
544	C₂²⋊C₄×C₈₉	—	4	1	no	—
545	C₂²⋊C₄×C₈₉	—	4	1	no	—
546	C₂²⋊C₄×C₈₉	—	4	1	no	—
547	C₄²×C₈₉	—	2	2	no	—
548	C₄²×C₈₉	—	4	1	no	—
549	C₂³×C₈₉	—	2	1	no	—
550	C₂³×C₈₉	—	2	1	no	—
551	C₂³×C₈₉	—	2	1	no	—
552	C₂³×C₈₉	—	2	1	no	—
553	C₂³×C₈₉	—	2	1	no	—
554	C₂³×C₈₉	—	2	1	no	—
555	C₂³×C₈₉	—	2	1	no	—
556	C₂³×C₈₉	—	2	1	no	—
557	C₂³×C₈₉	—	2	1	no	—
558	C₂³×C₈₉	—	2	1	no	—
559	C₂³×C₈₉	—	2	1	no	—
560	C₂³×C₈₉	C₂×#41	1	2	yes	—
561	C₂³×C₈₉	C₂×#41	1	2	yes	—
562	C₂³×C₈₉	C₂×#41	1	2	yes	—
563	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
564	C₂²×D₈₉	—	2	1	no	—
565	C₂²×D₈₉	—	2	1	no	—
566	C₂²×D₈₉	—	2	1	no	—
567	C₂²×D₈₉	—	2	1	no	—
568	C₂²×D₈₉	—	2	1	no	—
569	C₂²×D₈₉	—	2	1	no	—
570	C₂²×D₈₉	—	2	1	no	—
571	C₂²×D₈₉	—	2	1	no	—
572	C₂²×D₈₉	—	2	1	no	—
573	C₂²×D₈₉	—	2	1	no	—
574	C₂²×D₈₉	—	2	1	no	—
575	C₂²×D₈₉	—	2	1	no	—
576	C₂²×D₈₉	—	2	1	no	—
577	C₂²×D₈₉	—	2	1	no	—
578	C₂²×D₈₉	—	2	1	no	—
579	C₂²×D₈₉	—	4	4	no	—
580	C₂²×D₈₉	—	4	4	no	—
581	C₂²×D₈₉	—	4	4	no	—
582	C₂²×D₈₉	—	4	4	no	—
583	C₂²×D₈₉	—	4	4	no	—
584	C₂²×D₈₉	—	4	4	no	—
585	C₂²×D₈₉	—	4	4	no	—
586	C₂²×D₈₉	—	4	4	no	—
587	C₂²×D₈₉	—	4	4	no	—
588	C₂²×D₈₉	—	8	2	no	—
589	C₂²×D₈₉	—	8	2	no	—
590	C₂²×D₈₉	—	8	2	no	—
591	C₂²×D₈₉	—	8	2	no	—
592	C₂²×D₈₉	#126	1	16	yes	complemented
593	C₂²×D₈₉	C₂×#41	1	2	yes	—
594	C₂²×D₈₉	C₂×#41	1	2	yes	—
595	C₂²×D₈₉	C₂×#41	1	2	yes	—
596	C₂²×D₈₉	C₂×#41	1	2	yes	—
597	C₂²×D₈₉	C₂×#41	1	2	yes	—
598	C₂²×D₈₉	C₂×#41	1	2	yes	—
599	D₄×C₈₉	—	4	4	no	—
600	C₂×C₄×C₈₉	—	2	1	no	—
601	C₂×C₄×C₈₉	—	2	1	no	—
602	C₂×C₄×C₈₉	—	2	1	no	—
603	C₂×C₄×C₈₉	—	2	1	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	2	1	no	—
612	C₂×C₄×C₈₉	—	2	1	no	—
613	C₂×C₄×C₈₉	—	2	1	no	—
614	C₂×C₄×C₈₉	—	2	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
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	—	4	4	no	—
639	C₂×C₄×C₈₉	—	4	4	no	—
640	C₂×C₄×C₈₉	—	8	2	no	—
641	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
642	C₂²⋊D₈₉	—	4	4	no	—
643	C₂²⋊D₈₉	—	4	4	no	—
644	C₂×Dic₈₉	—	2	1	no	—
645	C₂×Dic₈₉	—	2	1	no	—
646	C₂×Dic₈₉	—	2	1	no	—
647	C₂×Dic₈₉	—	2	1	no	—
648	C₂×Dic₈₉	—	2	1	no	—
649	C₂×Dic₈₉	—	2	1	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	2	1	no	—
660	C₂×Dic₈₉	—	2	1	no	—
661	C₂×Dic₈₉	—	2	1	no	—
662	C₂×Dic₈₉	—	2	1	no	—
663	C₂×Dic₈₉	—	2	1	no	—
664	C₂×Dic₈₉	—	2	1	no	—
665	C₂×Dic₈₉	—	2	1	no	—
666	C₂×Dic₈₉	—	2	1	no	—
667	C₂×Dic₈₉	—	2	1	no	—
668	C₂×Dic₈₉	—	2	1	no	—
669	C₂×Dic₈₉	—	2	1	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	—	4	4	no	—
683	C₂×Dic₈₉	—	4	4	no	—
684	C₂×Dic₈₉	—	8	2	no	—
685	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
686	D₃₅₆	—	4	4	no	—
687	C₄×D₈₉	—	2	8	no	—
688	C₄×D₈₉	—	4	4	no	—
689	C₄×D₈₉	—	4	4	no	—
690	C₄×D₈₉	—	4	4	no	—
691	C₄×D₈₉	—	4	4	no	—
692	C₄×D₈₉	—	4	4	no	—
693	C₄×D₈₉	—	4	4	no	—
694	C₄×D₈₉	—	4	4	no	—
695	C₄×D₈₉	—	4	4	no	—
696	C₄×D₈₉	—	8	2	no	—
697	C₄×D₈₉	—	8	2	no	—
698	C₂²×C₈₉	—	2	2	no	—
699	C₂²×C₈₉	—	2	2	no	—
700	C₂²×C₈₉	—	2	2	no	—
701	C₂²×C₈₉	—	2	2	no	—
702	C₂²×C₈₉	—	2	2	no	—
703	C₂²×C₈₉	—	2	2	no	—
704	C₂²×C₈₉	—	4	1	no	—
705	C₂²×C₈₉	—	4	1	no	—
706	C₂²×C₈₉	—	4	1	no	—
707	C₂²×C₈₉	—	4	1	no	—
708	C₂²×C₈₉	—	4	1	no	—
709	C₂²×C₈₉	—	4	1	no	—
710	C₂²×C₈₉	—	4	1	no	—
711	C₂²×C₈₉	C₂×#126	1	4	yes	—
712	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
713	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
714	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
715	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
716	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
717	C₂²×C₈₉	#585	1	1	yes	characteristic
718	C₂²×C₈₉	#585	1	1	yes	characteristic
719	C₂×D₈₉	—	2	2	no	—
720	C₂×D₈₉	—	2	2	no	—
721	C₂×D₈₉	—	2	2	no	—
722	C₂×D₈₉	—	2	2	no	—
723	C₂×D₈₉	—	2	2	no	—
724	C₂×D₈₉	—	2	2	no	—
725	C₂×D₈₉	—	2	2	no	—
726	C₂×D₈₉	—	2	2	no	—
727	C₂×D₈₉	—	2	2	no	—
728	C₂×D₈₉	—	2	2	no	—
729	C₂×D₈₉	—	2	2	no	—
730	C₂×D₈₉	—	2	2	no	—
731	C₂×D₈₉	—	4	16	no	—
732	C₂×D₈₉	—	4	1	no	—
733	C₂×D₈₉	—	4	1	no	—
734	C₂×D₈₉	—	4	1	no	—
735	C₂×D₈₉	—	4	1	no	—
736	C₂×D₈₉	—	4	1	no	—
737	C₂×D₈₉	—	4	1	no	—
738	C₂×D₈₉	—	4	1	no	—
739	C₂×D₈₉	—	8	8	no	—
740	C₂×D₈₉	C₂×#126	1	4	yes	—
741	C₂×D₈₉	C₂×#126	1	4	yes	—
742	C₄×C₈₉	—	2	2	no	—
743	C₄×C₈₉	—	4	1	no	—
744	C₄×C₈₉	—	4	1	no	—
745	C₄×C₈₉	—	4	1	no	—
746	C₄×C₈₉	—	4	1	no	—
747	C₄×C₈₉	—	4	1	no	—
748	C₄×C₈₉	—	4	1	no	—
749	C₄×C₈₉	—	4	1	no	—
750	C₄×C₈₉	—	4	1	no	—
751	C₄×C₈₉	—	4	1	no	—
752	C₄×C₈₉	—	4	1	no	—
753	C₄×C₈₉	—	4	1	no	—
754	C₄×C₈₉	—	4	1	no	—
755	Dic₈₉	—	2	2	no	—
756	Dic₈₉	—	4	1	no	—
757	Dic₈₉	—	4	1	no	—
758	Dic₈₉	—	4	1	no	—
759	Dic₈₉	—	4	1	no	—
760	Dic₈₉	—	4	1	no	—
761	Dic₈₉	—	4	1	no	—
762	Dic₈₉	—	4	1	no	—
763	Dic₈₉	—	4	1	no	—
764	Dic₈₉	—	4	1	no	—
765	Dic₈₉	—	4	1	no	—
766	Dic₈₉	—	4	1	no	—
767	Dic₈₉	—	4	1	no	—
768	#34995	—	89	1	no	maximal, Sylow
769	C₂×C₈₉	—	2	4	no	—
770	C₂×C₈₉	—	8	1	no	—
771	C₂×C₈₉	C₂²×#126	1	1	yes	characteristic
772	C₂×C₈₉	#3459	1	1	yes	characteristic
773	C₂×C₈₉	#3459	1	1	yes	characteristic
774	C₂×C₈₉	#3490	1	1	yes	characteristic
775	C₂×C₈₉	#3491	1	1	yes	characteristic
776	C₂×C₈₉	#3505	1	1	yes	characteristic
777	C₂×C₈₉	#3505	1	1	yes	characteristic
778	D₈₉	—	2	4	no	—
779	D₈₉	—	2	4	no	—
780	D₈₉	—	8	1	no	—
781	#2852	—	89	1	no	—
782	#2852	—	89	1	no	—
783	#2852	—	89	1	no	—
784	#2852	—	89	1	no	—
785	#2643	—	89	1	no	—
786	#2643	—	89	1	no	—
787	#2643	—	89	1	no	—
788	#2643	—	89	1	no	—
789	#2510	—	89	1	no	—
790	#2510	—	89	1	no	—
791	#2510	—	89	1	no	—
792	#2510	—	89	1	no	—
793	#2493	—	89	1	no	—
794	#2493	—	89	1	no	—
795	#2493	—	89	1	no	—
796	#2493	—	89	1	no	—
797	#2481	—	89	1	no	—
798	#2481	—	89	1	no	—
799	#2481	—	89	1	no	—
800	#2481	D₈₉	1	1	yes	characteristic, complemented
801	#2480	—	89	1	no	—
802	#2480	—	89	1	no	—
803	#2480	—	89	1	no	—
804	#2480	—	89	1	no	—
805	#2315	—	89	1	no	—
806	#2315	—	89	1	no	—
807	#2308	—	89	1	no	—
808	#2308	—	89	1	no	—
809	C₂×#386	—	89	1	no	—
810	C₂×#385	—	89	1	no	—
811	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
812	C₈₉	#34995	1	1	yes	characteristic, complemented, Sylow
813	C₂³×D₄	—	89	1	no	—
814	C₂⁴×C₄	—	89	1	no	—
815	C₂×#126	—	89	1	no	—
816	C₂×#126	—	89	1	no	—
817	C₂×#126	—	89	1	no	—
818	C₂×#126	C₂×D₈₉	1	1	yes	characteristic, complemented
819	C₂²×C₄⋊C₄	—	89	1	no	—
820	C₂²×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
821	C₂²×C₂²⋊C₄	—	89	1	no	—
822	C₂²×C₂²⋊C₄	—	89	1	no	—
823	C₂²×C₂²⋊C₄	—	89	1	no	—
824	C₂²×C₂²⋊C₄	—	89	1	no	—
825	C₂²×C₂²⋊C₄	—	89	1	no	—
826	C₂²×C₂²⋊C₄	—	89	1	no	—
827	C₂²×C₂²⋊C₄	—	89	1	no	—
828	C₂²×C₄²	—	89	1	no	—
829	C₂²×C₄²	—	89	1	no	—
830	#401	—	89	1	no	—
831	#401	—	89	1	no	—
832	#401	—	89	1	no	—
833	#401	—	89	1	no	—
834	#400	—	89	1	no	—
835	#400	—	89	1	no	—
836	#400	—	89	1	no	—
837	#400	—	89	1	no	—
838	#400	—	89	1	no	—
839	#400	—	89	1	no	—
840	#400	—	89	1	no	—
841	#400	—	89	1	no	—
842	#400	—	89	1	no	—
843	#400	—	89	1	no	—
844	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
845	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
846	#397	—	89	1	no	—
847	#397	—	89	1	no	—
848	#397	—	89	1	no	—
849	#397	—	89	1	no	—
850	#397	—	89	1	no	—
851	#397	—	89	1	no	—
852	#397	—	89	1	no	—
853	#397	—	89	1	no	—
854	#397	—	89	1	no	—
855	#397	—	89	1	no	—
856	#397	—	89	1	no	—
857	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
858	#396	—	89	1	no	—
859	#396	—	89	1	no	—
860	#396	—	89	1	no	—
861	#396	C₂×D₈₉	1	1	yes	characteristic, complemented
862	#388	—	89	1	no	—
863	#388	—	89	1	no	—
864	#388	—	89	1	no	—
865	#388	—	89	1	no	—
866	#388	—	89	1	no	—
867	#388	—	89	1	no	—
868	#388	—	89	1	no	—
869	#388	—	89	1	no	—
870	#388	—	89	1	no	—
871	#388	—	89	1	no	—
872	#388	—	89	1	no	—
873	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
874	#387	—	89	1	no	—
875	#387	—	89	1	no	—
876	#387	—	89	1	no	—
877	#387	—	89	1	no	—
878	#387	—	89	1	no	—
879	#387	—	89	1	no	—
880	#387	—	89	1	no	—
881	#387	—	89	1	no	—
882	#387	—	89	1	no	—
883	#387	—	89	1	no	—
884	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
885	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
886	#386	—	89	1	no	—
887	#386	—	89	1	no	—
888	#386	—	89	1	no	—
889	#386	—	89	1	no	—
890	#386	—	89	1	no	—
891	#386	—	89	1	no	—
892	#386	—	89	1	no	—
893	#386	—	89	1	no	—
894	#386	—	89	1	no	—
895	#386	—	89	1	no	—
896	#386	—	89	1	no	—
897	#386	—	89	1	no	—
898	#386	—	89	1	no	—
899	#386	—	89	1	no	—
900	#386	—	89	1	no	—
901	#386	—	89	1	no	—
902	#386	—	89	1	no	—
903	#386	—	89	1	no	—
904	#386	—	89	1	no	—
905	#386	—	89	1	no	—
906	#386	—	89	1	no	—
907	#386	C₂×D₈₉	1	1	yes	characteristic
908	#386	C₂×D₈₉	1	1	yes	characteristic
909	#386	C₂×D₈₉	1	1	yes	characteristic
910	#385	—	89	1	no	—
911	#385	—	89	1	no	—
912	#385	—	89	1	no	—
913	#385	—	89	1	no	—
914	#385	—	89	1	no	—
915	#385	—	89	1	no	—
916	#385	—	89	1	no	—
917	#385	—	89	1	no	—
918	#385	—	89	1	no	—
919	#385	—	89	1	no	—
920	#385	—	89	1	no	—
921	#385	—	89	1	no	—
922	#385	—	89	1	no	—
923	#385	—	89	1	no	—
924	#385	—	89	1	no	—
925	#385	—	89	1	no	—
926	#385	—	89	1	no	—
927	#385	—	89	1	no	—
928	#385	—	89	1	no	—
929	#385	—	89	1	no	—
930	#385	—	89	1	no	—
931	#385	—	89	1	no	—
932	#385	—	89	1	no	—
933	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
934	#383	—	89	1	no	—
935	#383	—	89	1	no	—
936	#383	—	89	1	no	—
937	#383	—	89	1	no	—
938	#381	—	89	1	no	—
939	#381	—	89	1	no	—
940	#381	—	89	1	no	—
941	#381	—	89	1	no	—
942	#380	—	89	1	no	—
943	#380	—	89	1	no	—
944	#380	—	89	1	no	—
945	#380	—	89	1	no	—
946	#380	—	89	1	no	—
947	#380	—	89	1	no	—
948	#380	—	89	1	no	—
949	#380	C₂×D₈₉	1	1	yes	characteristic, complemented
950	#379	—	89	1	no	—
951	#379	—	89	1	no	—
952	#379	—	89	1	no	—
953	#379	—	89	1	no	—
954	C₄×C₂²⋊C₄	—	89	1	no	—
955	C₄×C₂²⋊C₄	—	89	1	no	—
956	C₄×C₂²⋊C₄	—	89	1	no	—
957	C₄×C₂²⋊C₄	—	89	1	no	—
958	C₄×C₂²⋊C₄	—	89	1	no	—
959	C₄×C₂²⋊C₄	—	89	1	no	—
960	C₄×C₂²⋊C₄	—	89	1	no	—
961	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
962	C₂×#95	—	89	1	no	—
963	C₂×#95	—	89	1	no	—
964	C₂×#95	—	89	1	no	—
965	C₂×#95	—	89	1	no	—
966	C₂×#95	—	89	1	no	—
967	C₂×#95	—	89	1	no	—
968	C₂⁵	—	89	1	no	—
969	C₂⁵	—	89	1	no	—
970	C₂²×D₄	—	89	1	no	—
971	C₂²×D₄	—	89	1	no	—
972	C₂²×D₄	—	89	1	no	—
973	C₂²×D₄	—	178	4	no	—
974	C₂²×D₄	—	178	4	no	—
975	C₂²×D₄	—	178	4	no	—
976	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
977	C₂³×C₄	—	89	1	no	—
978	C₂³×C₄	—	89	1	no	—
979	C₂³×C₄	—	89	1	no	—
980	C₂³×C₄	—	89	1	no	—
981	C₂³×C₄	—	89	1	no	—
982	C₂³×C₄	—	89	1	no	—
983	C₂³×C₄	—	89	1	no	—
984	C₂³×C₄	—	89	1	no	—
985	C₂³×C₄	—	89	1	no	—
986	C₂³×C₄	—	89	1	no	—
987	C₂³×C₄	—	89	1	no	—
988	C₂³×C₄	—	89	1	no	—
989	C₂³×C₄	—	89	1	no	—
990	C₂³×C₄	—	89	1	no	—
991	C₂³×C₄	—	356	2	no	—
992	C₂³×C₄	—	356	2	no	—
993	C₂³×C₄	—	178	4	no	—
994	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
995	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
996	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
997	#126	—	4	2	no	—
998	#126	—	356	2	no	—
999	#126	—	356	2	no	—
1000	#126	—	356	2	no	—
1001	C₂×C₄⋊C₄	—	4	2	no	—
1002	C₂×C₄⋊C₄	—	89	1	no	—
1003	C₂×C₄⋊C₄	—	89	1	no	—
1004	C₂×C₄⋊C₄	—	89	1	no	—
1005	C₂×C₄⋊C₄	—	89	1	no	—
1006	C₂×C₄⋊C₄	—	89	1	no	—
1007	C₂×C₄⋊C₄	—	89	1	no	—
1008	C₂×C₄⋊C₄	—	89	1	no	—
1009	C₂×C₄⋊C₄	—	89	1	no	—
1010	C₂×C₄⋊C₄	—	89	1	no	—
1011	C₂×C₄⋊C₄	—	89	1	no	—
1012	C₂×C₄⋊C₄	—	89	1	no	—
1013	C₂×C₄⋊C₄	—	89	1	no	—
1014	C₂×C₄⋊C₄	—	89	1	no	—
1015	C₂×C₄⋊C₄	—	89	1	no	—
1016	C₂×C₄⋊C₄	—	89	1	no	—
1017	C₂×C₄⋊C₄	—	89	1	no	—
1018	C₂×C₄⋊C₄	—	356	2	no	—
1019	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	—	89	1	no	—
1028	C₂×C₂²⋊C₄	—	89	1	no	—
1029	C₂×C₂²⋊C₄	—	89	1	no	—
1030	C₂×C₂²⋊C₄	—	89	1	no	—
1031	C₂×C₂²⋊C₄	—	89	1	no	—
1032	C₂×C₂²⋊C₄	—	89	1	no	—
1033	C₂×C₂²⋊C₄	—	89	1	no	—
1034	C₂×C₂²⋊C₄	—	89	1	no	—
1035	C₂×C₂²⋊C₄	—	89	1	no	—
1036	C₂×C₂²⋊C₄	—	89	1	no	—
1037	C₂×C₂²⋊C₄	—	89	1	no	—
1038	C₂×C₂²⋊C₄	—	89	1	no	—
1039	C₂×C₂²⋊C₄	—	89	1	no	—
1040	C₂×C₂²⋊C₄	—	89	1	no	—
1041	C₂×C₂²⋊C₄	—	89	1	no	—
1042	C₂×C₂²⋊C₄	—	89	1	no	—
1043	C₂×C₂²⋊C₄	—	89	1	no	—
1044	C₂×C₂²⋊C₄	—	89	1	no	—
1045	C₂×C₂²⋊C₄	—	89	1	no	—
1046	C₂×C₂²⋊C₄	—	89	1	no	—
1047	C₂×C₂²⋊C₄	—	89	1	no	—
1048	C₂×C₂²⋊C₄	—	89	1	no	—
1049	C₂×C₂²⋊C₄	—	89	1	no	—
1050	C₂×C₂²⋊C₄	—	89	1	no	—
1051	C₂×C₂²⋊C₄	—	89	1	no	—
1052	C₂×C₂²⋊C₄	—	89	1	no	—
1053	C₂×C₂²⋊C₄	—	89	1	no	—
1054	C₂×C₂²⋊C₄	—	89	1	no	—
1055	C₂×C₂²⋊C₄	—	89	1	no	—
1056	C₂×C₂²⋊C₄	—	89	1	no	—
1057	C₂×C₂²⋊C₄	—	89	1	no	—
1058	C₂×C₂²⋊C₄	—	89	1	no	—
1059	C₂×C₂²⋊C₄	—	89	1	no	—
1060	C₂×C₂²⋊C₄	—	89	1	no	—
1061	C₂×C₂²⋊C₄	—	89	1	no	—
1062	C₂×C₂²⋊C₄	—	356	2	no	—
1063	C₂×C₂²⋊C₄	—	356	2	no	—
1064	C₂×C₂²⋊C₄	—	178	4	no	—
1065	C₂×C₂²⋊C₄	—	178	4	no	—
1066	C₂×C₂²⋊C₄	—	178	4	no	—
1067	C₂×C₂²⋊C₄	—	178	4	no	—
1068	C₂×C₂²⋊C₄	—	178	4	no	—
1069	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1078	C₂×C₄²	—	89	1	no	—
1079	C₂×C₄²	—	89	1	no	—
1080	C₂×C₄²	—	89	1	no	—
1081	C₂×C₄²	—	89	1	no	—
1082	C₂×C₄²	—	89	1	no	—
1083	C₂×C₄²	—	89	1	no	—
1084	C₂×C₄²	—	356	2	no	—
1085	C₂×C₄²	—	356	2	no	—
1086	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1087	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1088	#95	—	89	1	no	—
1089	#95	—	89	1	no	—
1090	#95	—	89	1	no	—
1091	#95	—	89	1	no	—
1092	#95	—	89	1	no	—
1093	#95	—	89	1	no	—
1094	#95	—	89	1	no	—
1095	#95	—	89	1	no	—
1096	#95	—	89	1	no	—
1097	#95	—	89	1	no	—
1098	#95	—	89	1	no	—
1099	#95	—	89	1	no	—
1100	#95	—	89	1	no	—
1101	#95	—	89	1	no	—
1102	#95	—	89	1	no	—
1103	#95	—	89	1	no	—
1104	#95	—	89	1	no	—
1105	#95	—	89	1	no	—
1106	#95	—	89	1	no	—
1107	#95	—	89	1	no	—
1108	#95	—	89	1	no	—
1109	#95	—	89	1	no	—
1110	#95	—	89	1	no	—
1111	#95	—	89	1	no	—
1112	#95	—	89	1	no	—
1113	#95	—	89	1	no	—
1114	#95	—	89	1	no	—
1115	#95	—	89	1	no	—
1116	#95	—	89	1	no	—
1117	#95	—	89	1	no	—
1118	#95	—	89	1	no	—
1119	#95	—	89	1	no	—
1120	#95	—	89	1	no	—
1121	#95	—	89	1	no	—
1122	#95	—	89	1	no	—
1123	#95	—	89	1	no	—
1124	#95	—	89	1	no	—
1125	#95	—	89	1	no	—
1126	#95	—	89	1	no	—
1127	#95	—	89	1	no	—
1128	#95	—	89	1	no	—
1129	#95	—	89	1	no	—
1130	#95	—	89	1	no	—
1131	#95	—	89	1	no	—
1132	#95	C₂²×D₈₉	1	1	yes	characteristic
1133	#95	C₂²×D₈₉	1	1	yes	characteristic
1134	#95	C₂²×D₈₉	1	1	yes	characteristic
1135	#95	C₂²×D₈₉	1	1	yes	characteristic
1136	#95	C₂²×D₈₉	1	1	yes	characteristic
1137	#95	C₂²×D₈₉	1	1	yes	characteristic
1138	#95	C₂²×D₈₉	1	1	yes	characteristic
1139	#95	C₂²×D₈₉	1	1	yes	characteristic
1140	#95	C₂²×D₈₉	1	1	yes	characteristic
1141	#95	C₂²×D₈₉	1	1	yes	characteristic
1142	#95	C₂²×D₈₉	1	1	yes	characteristic
1143	#95	C₂²×D₈₉	1	1	yes	characteristic
1144	C₂⁴	—	89	4	no	—
1145	C₂⁴	—	89	4	no	—
1146	C₂⁴	—	89	4	no	—
1147	C₂⁴	—	89	1	no	—
1148	C₂⁴	—	89	1	no	—
1149	C₂⁴	—	89	1	no	—
1150	C₂⁴	—	356	1	no	—
1151	C₂⁴	—	356	1	no	—
1152	C₂⁴	—	356	1	no	—
1153	C₂⁴	—	356	1	no	—
1154	C₂⁴	—	356	1	no	—
1155	C₂⁴	—	356	1	no	—
1156	C₂⁴	—	356	1	no	—
1157	C₂⁴	—	356	1	no	—
1158	C₂⁴	—	178	2	no	—
1159	C₂⁴	—	178	2	no	—
1160	C₂⁴	—	178	2	no	—
1161	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1162	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	356	16	no	—
1167	C₂×D₄	—	178	2	no	—
1168	C₂×D₄	—	178	2	no	—
1169	C₂×D₄	—	178	2	no	—
1170	C₂×D₄	—	178	2	no	—
1171	C₂×D₄	—	178	2	no	—
1172	C₂×D₄	—	178	2	no	—
1173	C₂×D₄	—	178	2	no	—
1174	C₂×D₄	—	178	2	no	—
1175	C₂×D₄	—	178	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	89	1	no	—
1186	C₂²×C₄	—	89	1	no	—
1187	C₂²×C₄	—	89	1	no	—
1188	C₂²×C₄	—	89	1	no	—
1189	C₂²×C₄	—	89	1	no	—
1190	C₂²×C₄	—	89	1	no	—
1191	C₂²×C₄	—	89	1	no	—
1192	C₂²×C₄	—	89	1	no	—
1193	C₂²×C₄	—	89	1	no	—
1194	C₂²×C₄	—	89	1	no	—
1195	C₂²×C₄	—	89	1	no	—
1196	C₂²×C₄	—	89	1	no	—
1197	C₂²×C₄	—	89	1	no	—
1198	C₂²×C₄	—	356	1	no	—
1199	C₂²×C₄	—	356	1	no	—
1200	C₂²×C₄	—	356	1	no	—
1201	C₂²×C₄	—	356	1	no	—
1202	C₂²×C₄	—	356	1	no	—
1203	C₂²×C₄	—	356	1	no	—
1204	C₂²×C₄	—	356	1	no	—
1205	C₂²×C₄	—	356	1	no	—
1206	C₂²×C₄	—	356	1	no	—
1207	C₂²×C₄	—	356	1	no	—
1208	C₂²×C₄	—	356	1	no	—
1209	C₂²×C₄	—	356	1	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	16	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	—	178	2	no	—
1221	C₂²×C₄	—	178	2	no	—
1222	C₂²×C₄	—	178	2	no	—
1223	C₂²×C₄	—	178	2	no	—
1224	C₂²×C₄	—	178	2	no	—
1225	C₂²×C₄	—	178	2	no	—
1226	C₂²×C₄	—	178	2	no	—
1227	C₂²×C₄	—	178	2	no	—
1228	C₂²×C₄	—	178	2	no	—
1229	C₂²×C₄	—	178	2	no	—
1230	C₂²×C₄	—	178	2	no	—
1231	C₂²×C₄	—	178	2	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	C₂³×D₈₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	356	1	no	—
1263	C₄⋊C₄	—	356	1	no	—
1264	C₄⋊C₄	—	356	1	no	—
1265	C₄⋊C₄	—	356	1	no	—
1266	C₄⋊C₄	—	356	1	no	—
1267	C₄⋊C₄	—	356	1	no	—
1268	C₄⋊C₄	—	356	1	no	—
1269	C₄⋊C₄	—	356	1	no	—
1270	C₄⋊C₄	—	356	1	no	—
1271	C₄⋊C₄	—	356	1	no	—
1272	C₄⋊C₄	—	356	1	no	—
1273	C₄⋊C₄	—	356	1	no	—
1274	C₄⋊C₄	—	356	1	no	—
1275	C₄⋊C₄	—	356	1	no	—
1276	C₄⋊C₄	—	178	2	no	—
1277	C₄⋊C₄	—	178	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	356	1	no	—
1288	C₂²⋊C₄	—	356	1	no	—
1289	C₂²⋊C₄	—	356	1	no	—
1290	C₂²⋊C₄	—	356	1	no	—
1291	C₂²⋊C₄	—	356	1	no	—
1292	C₂²⋊C₄	—	356	1	no	—
1293	C₂²⋊C₄	—	356	1	no	—
1294	C₂²⋊C₄	—	356	1	no	—
1295	C₂²⋊C₄	—	356	1	no	—
1296	C₂²⋊C₄	—	356	1	no	—
1297	C₂²⋊C₄	—	356	1	no	—
1298	C₂²⋊C₄	—	356	1	no	—
1299	C₂²⋊C₄	—	356	1	no	—
1300	C₂²⋊C₄	—	356	1	no	—
1301	C₂²⋊C₄	—	356	1	no	—
1302	C₂²⋊C₄	—	178	2	no	—
1303	C₂²⋊C₄	—	178	2	no	—
1304	C₂²⋊C₄	—	178	2	no	—
1305	C₂²⋊C₄	—	178	2	no	—
1306	C₂²⋊C₄	—	178	2	no	—
1307	C₂²⋊C₄	—	178	2	no	—
1308	C₂²⋊C₄	—	178	2	no	—
1309	C₂²⋊C₄	—	178	2	no	—
1310	C₂²⋊C₄	—	178	2	no	—
1311	C₂²⋊C₄	—	178	2	no	—
1312	C₂²⋊C₄	—	178	2	no	—
1313	C₂²⋊C₄	—	178	2	no	—
1314	C₂²⋊C₄	—	178	2	no	—
1315	C₂²⋊C₄	—	178	2	no	—
1316	C₂²⋊C₄	—	178	2	no	—
1317	C₂²⋊C₄	—	178	2	no	—
1318	C₂²⋊C₄	—	178	2	no	—
1319	C₂²⋊C₄	—	178	2	no	—
1320	C₂²⋊C₄	—	178	2	no	—
1321	C₂²⋊C₄	—	178	2	no	—
1322	C₄²	—	2	2	no	—
1323	C₄²	—	4	1	no	—
1324	C₄²	—	356	1	no	—
1325	C₄²	—	356	1	no	—
1326	C₄²	—	356	1	no	—
1327	C₄²	—	178	2	no	—
1328	C₄²	—	178	2	no	—
1329	C₄²	—	178	2	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	89	16	no	—
1342	C₂³	—	89	2	no	—
1343	C₂³	—	89	2	no	—
1344	C₂³	—	89	2	no	—
1345	C₂³	—	89	2	no	—
1346	C₂³	—	89	2	no	—
1347	C₂³	—	89	2	no	—
1348	C₂³	—	356	4	no	—
1349	C₂³	—	356	4	no	—
1350	C₂³	—	356	4	no	—
1351	C₂³	—	356	4	no	—
1352	C₂³	—	356	4	no	—
1353	C₂³	—	356	4	no	—
1354	C₂³	—	356	4	no	—
1355	C₂³	—	356	4	no	—
1356	C₂³	—	356	4	no	—
1357	C₂³	—	178	1	no	—
1358	C₂³	—	178	1	no	—
1359	C₂³	—	178	1	no	—
1360	C₂³	—	178	1	no	—
1361	C₂³	—	178	1	no	—
1362	C₂³	—	178	1	no	—
1363	C₂³	—	178	1	no	—
1364	C₂³	—	178	1	no	—
1365	C₂³	—	178	1	no	—
1366	C₂³	—	178	1	no	—
1367	C₂³	—	178	1	no	—
1368	C₂³	—	178	1	no	—
1369	C₂³	—	178	1	no	—
1370	C₂³	—	178	1	no	—
1371	C₂³	—	178	1	no	—
1372	C₂³	—	712	2	no	—
1373	C₂³	—	712	2	no	—
1374	C₂³	—	712	2	no	—
1375	C₂³	—	712	2	no	—
1376	C₂³	#41×D₈₉	1	2	yes	—
1377	C₂³	#41×D₈₉	1	2	yes	—
1378	C₂³	#41×D₈₉	1	2	yes	—
1379	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1380	D₄	—	4	4	no	—
1381	D₄	—	356	4	no	—
1382	D₄	—	356	4	no	—
1383	D₄	—	356	4	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	4	4	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	89	2	no	—
1426	C₂×C₄	—	356	4	no	—
1427	C₂×C₄	—	356	4	no	—
1428	C₂×C₄	—	356	4	no	—
1429	C₂×C₄	—	356	4	no	—
1430	C₂×C₄	—	356	4	no	—
1431	C₂×C₄	—	356	4	no	—
1432	C₂×C₄	—	356	4	no	—
1433	C₂×C₄	—	356	4	no	—
1434	C₂×C₄	—	356	4	no	—
1435	C₂×C₄	—	356	4	no	—
1436	C₂×C₄	—	178	8	no	—
1437	C₂×C₄	—	178	1	no	—
1438	C₂×C₄	—	178	1	no	—
1439	C₂×C₄	—	178	1	no	—
1440	C₂×C₄	—	178	1	no	—
1441	C₂×C₄	—	178	1	no	—
1442	C₂×C₄	—	178	1	no	—
1443	C₂×C₄	—	178	1	no	—
1444	C₂×C₄	—	178	1	no	—
1445	C₂×C₄	—	178	1	no	—
1446	C₂×C₄	—	178	1	no	—
1447	C₂×C₄	—	178	1	no	—
1448	C₂×C₄	—	178	1	no	—
1449	C₂×C₄	—	178	1	no	—
1450	C₂×C₄	—	178	1	no	—
1451	C₂×C₄	—	178	1	no	—
1452	C₂×C₄	—	178	1	no	—
1453	C₂×C₄	—	178	1	no	—
1454	C₂×C₄	—	178	1	no	—
1455	C₂×C₄	—	178	1	no	—
1456	C₂×C₄	—	178	1	no	—
1457	C₂×C₄	—	178	1	no	—
1458	C₂×C₄	—	178	1	no	—
1459	C₂×C₄	—	178	1	no	—
1460	C₂×C₄	—	178	1	no	—
1461	C₂×C₄	—	178	1	no	—
1462	C₂×C₄	—	178	1	no	—
1463	C₂×C₄	—	178	1	no	—
1464	C₂×C₄	—	178	1	no	—
1465	C₂×C₄	—	178	1	no	—
1466	C₂×C₄	—	178	1	no	—
1467	C₂×C₄	—	178	1	no	—
1468	C₂×C₄	—	178	1	no	—
1469	C₂×C₄	—	178	1	no	—
1470	C₂×C₄	—	178	1	no	—
1471	C₂×C₄	—	178	1	no	—
1472	C₂×C₄	—	178	1	no	—
1473	C₂×C₄	—	178	1	no	—
1474	C₂×C₄	—	178	1	no	—
1475	C₂×C₄	—	712	2	no	—
1476	C₂×C₄	—	712	2	no	—
1477	C₂×C₄	—	712	2	no	—
1478	C₂×C₄	#15668057	1	2	yes	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	2	no	—
1482	C₂²	—	2	2	no	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	89	4	no	—
1493	C₂²	—	89	4	no	—
1494	C₂²	—	356	16	no	—
1495	C₂²	—	356	1	no	—
1496	C₂²	—	356	1	no	—
1497	C₂²	—	356	1	no	—
1498	C₂²	—	356	1	no	—
1499	C₂²	—	356	1	no	—
1500	C₂²	—	356	1	no	—
1501	C₂²	—	356	1	no	—
1502	C₂²	—	178	2	no	—
1503	C₂²	—	178	2	no	—
1504	C₂²	—	178	2	no	—
1505	C₂²	—	178	2	no	—
1506	C₂²	—	178	2	no	—
1507	C₂²	—	178	2	no	—
1508	C₂²	—	178	2	no	—
1509	C₂²	—	178	2	no	—
1510	C₂²	—	178	2	no	—
1511	C₂²	—	178	2	no	—
1512	C₂²	—	178	2	no	—
1513	C₂²	—	178	2	no	—
1514	C₂²	—	712	8	no	—
1515	C₂²	#126×D₈₉	1	4	yes	—
1516	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1517	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1518	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1519	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1520	C₂²	C₂×#15668057	1	1	yes	characteristic
1521	C₂²	#19152434	1	1	yes	characteristic
1522	C₂²	#19152435	1	1	yes	characteristic
1523	C₄	—	2	2	no	—
1524	C₄	—	4	1	no	—
1525	C₄	—	4	1	no	—
1526	C₄	—	4	1	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	356	1	no	—
1537	C₄	—	356	1	no	—
1538	C₄	—	356	1	no	—
1539	C₄	—	356	1	no	—
1540	C₄	—	356	1	no	—
1541	C₄	—	356	1	no	—
1542	C₄	—	356	1	no	—
1543	C₄	—	356	1	no	—
1544	C₄	—	356	1	no	—
1545	C₄	—	356	1	no	—
1546	C₄	—	356	1	no	—
1547	C₄	—	356	1	no	—
1548	C₄	—	178	2	no	—
1549	C₂	—	2	4	no	—
1550	C₂	—	8	1	no	—
1551	C₂	—	178	4	no	—
1552	C₂	—	178	4	no	—
1553	C₂	—	712	1	no	—
1554	C₂	C₂×#126×D₈₉	1	1	yes	characteristic
1555	C₂	#26033659	1	1	yes	characteristic
1556	C₂	#26033660	1	1	yes	characteristic
1557	C₂	#26033934	1	1	yes	characteristic
1558	C₂	#26033947	1	1	yes	characteristic
1559	C₂	#26034085	1	1	yes	characteristic
1560	C₂	#26034088	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2481	C₂
prime radical	C₂²×D₄×D₈₉	C₂²
hypercenter	#2481	D₈₉
hypocenter	C₈₉	#34995
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2481

Complements

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

N	H ≅ G/N	type
1. #26028570	C₂	semidirect
2. #26028570	C₂	semidirect
3. #26028566	C₂	semidirect
4. #26028564	C₂	semidirect
5. #26026209	C₂	semidirect
6. #26026206	C₂	semidirect
7. #26026206	C₂	semidirect
8. #26026204	C₂	semidirect
9. #26024818	C₂	semidirect
10. #26024814	C₂	semidirect
11. #26024810	C₂	semidirect
12. #26024806	C₂	semidirect
13. #26024642	C₂	semidirect
14. #26024640	C₂	semidirect
15. #26024636	C₂	semidirect
16. #26024630	C₂	semidirect
17. #26024520	C₂	semidirect
18. #26024518	C₂	semidirect
19. #26024507	C₂	semidirect
20. #26024504	C₂	semidirect
21. #26024501	C₂	semidirect
22. #26024494	C₂	semidirect
23. #26024491	C₂	semidirect
24. #26022865	C₂	semidirect
25. #26022863	C₂	semidirect
29. C₂×#19151469	C₂	semidirect
30. C₄×C₂²⋊C₄×D₈₉	C₂	semidirect
31. C₈₉×#2481	C₂	semidirect
34. C₂×#15668007	C₂²	semidirect
35. C₂×#15668007	C₂²	semidirect
36. C₂×#15668005	C₂²	semidirect
37. C₂²×#13083553	C₂²	semidirect
45. C₂×C₄²×D₈₉	C₂²	semidirect
46. C₂×C₄²×D₈₉	C₂²	semidirect
47. C₈₉⋊#401	C₂²	semidirect
48. C₈₉⋊#401	C₂²	semidirect
49. C₈₉⋊#401	C₂²	semidirect
50. C₈₉⋊#401	C₂²	semidirect
51. #19151540	C₂²	semidirect
52. #19151539	C₂²	semidirect
53. #19151539	C₂²	semidirect
54. #19151539	C₂²	semidirect
55. #19151538	C₂²	semidirect
56. #19151538	C₂²	semidirect
57. #19151537	C₂²	semidirect
58. #19151536	C₂²	semidirect
59. #19151536	C₂²	semidirect
60. #19151536	C₂²	semidirect
61. #19151527	C₂²	semidirect
62. #19151527	C₂²	semidirect
63. #19151527	C₂²	semidirect
64. #19151527	C₂²	semidirect
65. #19151526	C₂²	semidirect
66. #19151526	C₂²	semidirect
67. #19151526	C₂²	semidirect
68. #19151526	C₂²	semidirect
69. #19151524	C₂²	semidirect
70. #19151524	C₂²	semidirect
71. #19151523	C₂²	semidirect
72. #19151521	C₂²	semidirect
73. #19151520	C₂²	semidirect
74. #19151520	C₂²	semidirect
75. #19151492	C₂²	semidirect
76. #19151491	C₂²	semidirect
77. #19151489	C₂²	semidirect
78. #19151489	C₂²	semidirect
79. #19151488	C₂²	semidirect
80. #19151488	C₂²	semidirect
81. #19151487	C₂²	semidirect
82. #19151487	C₂²	semidirect
83. #19151486	C₂²	semidirect
84. #19151486	C₂²	semidirect
85. #19151486	C₂²	semidirect
86. #19151485	C₂²	semidirect
87. #19151485	C₂²	semidirect
88. #19151484	C₂²	semidirect
89. #19151482	C₂²	semidirect
90. #19151481	C₂²	semidirect
91. #19151480	C₂²	semidirect
92. #19151480	C₂²	semidirect
93. #19151479	C₂²	semidirect
94. #19151479	C₂²	semidirect
95. #19151479	C₂²	semidirect
117. #19151473	C₂²	semidirect
120. #19151472	C₂²	semidirect
121. #19151472	C₂²	semidirect
122. #19151472	C₂²	semidirect
123. #19151472	C₂²	semidirect
124. #19151471	C₂²	semidirect
125. #19151470	C₂²	semidirect
132. #19151469	C₂²	semidirect
133. #19151469	C₂²	semidirect
134. #19151469	C₂²	semidirect
135. #19151469	C₂²	semidirect
136. #19151469	C₂²	semidirect
137. #19151469	C₂²	semidirect
138. #19151469	C₂²	semidirect
139. #19151469	C₂²	semidirect
140. #19151466	C₂²	semidirect
141. #19151465	C₂²	semidirect
142. #19151465	C₂²	semidirect
143. #19151465	C₂²	semidirect
148. #19151458	C₂²	semidirect
151. #19151456	C₂²	semidirect
152. #19151456	C₂²	semidirect
159. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
160. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
163. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
166. C₂×#15667919	C₂²	semidirect
167. C₂×#15667919	C₂²	semidirect
170. #95×D₈₉	C₂²	semidirect
171. #95×D₈₉	C₂²	semidirect
172. C₂×#126×C₈₉	C₂²	semidirect
173. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
174. #400×C₈₉	C₂²	semidirect
175. #400×C₈₉	C₂²	semidirect
176. #397×C₈₉	C₂²	semidirect
177. #396×C₈₉	C₂²	semidirect
178. #388×C₈₉	C₂²	semidirect
179. #387×C₈₉	C₂²	semidirect
180. #387×C₈₉	C₂²	semidirect
184. #385×C₈₉	C₂²	semidirect
185. #380×C₈₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
592. C₂²×D₈₉	#126	semidirect
800. #2481	D₈₉	semidirect
812. C₈₉	#34995	semidirect
818. C₂×#126	C₂×D₈₉	semidirect
820. C₂²×C₄⋊C₄	C₂×D₈₉	semidirect
844. #400	C₂×D₈₉	semidirect
845. #400	C₂×D₈₉	semidirect
857. #397	C₂×D₈₉	semidirect
861. #396	C₂×D₈₉	semidirect
873. #388	C₂×D₈₉	semidirect
884. #387	C₂×D₈₉	semidirect
885. #387	C₂×D₈₉	semidirect
933. #385	C₂×D₈₉	semidirect
949. #380	C₂×D₈₉	semidirect
961. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26028570	2
#26028566	2
#26028564	2
#26026209	2
#26026206	2
#26026204	2
#26024818	2
#26024814	2
#26024810	2
#26024806	2
#26024642	2
#26024640	2
#26024636	2
#26024630	2
#26024520	2
#26024518	2
#26024507	2
#26024504	2
#26024501	2
#26024494	2
#26024491	2
#26022865	2
#26022863	2
#26022826	2
#386×D₈₉	2
C₂×#19151469	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2481	2
#34995	89