Subgroups — #36724390

Order 22784.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26024684	C₂	1	1	yes	maximal, characteristic, complemented
2	#26024682	C₂	1	1	yes	maximal, characteristic, complemented
3	#26024673	C₂	1	1	yes	maximal, characteristic, complemented
4	#26024671	C₂	1	1	yes	maximal, characteristic, complemented
5	#26024662	C₂	1	1	yes	maximal, characteristic, complemented
6	#26024660	C₂	1	1	yes	maximal, characteristic, complemented
7	#26024651	C₂	1	1	yes	maximal, characteristic, complemented
8	#26024649	C₂	1	1	yes	maximal, characteristic, complemented
9	#26024644	C₂	1	1	yes	maximal, characteristic, complemented
10	#26024642	C₂	1	1	yes	maximal, characteristic, complemented
11	#26024636	C₂	1	1	yes	maximal, characteristic, complemented
12	#26024634	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024504	C₂	1	1	yes	maximal, characteristic
14	#26024502	C₂	1	1	yes	maximal, characteristic
15	#26024496	C₂	1	1	yes	maximal, characteristic
16	#26024494	C₂	1	1	yes	maximal, characteristic
17	#26023553	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023553	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023552	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023552	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#15668007	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#15668006	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#15668005	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022732	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022732	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022656	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022633	C₂	1	1	yes	maximal, characteristic
28	#26022633	C₂	1	1	yes	maximal, characteristic
29	C₄×#15667969	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic
31	C₄×#126×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
33	C₂×#15668007	C₂²	1	1	yes	characteristic
34	C₂×#15668006	C₂²	1	1	yes	characteristic
35	C₂×#15668005	C₂²	1	1	yes	characteristic
36	C₂×#15667969	C₂²	1	1	yes	characteristic
37	C₂×#15667969	C₂²	1	1	yes	characteristic
38	C₂×#15667969	C₂²	1	1	yes	characteristic
39	C₂×#15667969	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×C₄²×D₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
44	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
45	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
46	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
47	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
48	#19151540	C₂²	1	1	yes	characteristic, complemented
49	#19151540	C₂²	1	1	yes	characteristic, complemented
50	#19151540	C₂²	1	1	yes	characteristic, complemented
51	#19151540	C₂²	1	1	yes	characteristic, complemented
52	#19151539	C₂²	1	1	yes	characteristic, complemented
53	#19151539	C₂²	1	1	yes	characteristic, complemented
54	#19151538	C₂²	1	1	yes	characteristic, complemented
55	#19151538	C₂²	1	1	yes	characteristic, complemented
56	#19151537	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	#19151527	C₂²	1	1	yes	characteristic
61	#19151527	C₂²	1	1	yes	characteristic
62	#19151526	C₂²	1	1	yes	characteristic
63	#19151526	C₂²	1	1	yes	characteristic
64	#19151526	C₂²	1	1	yes	characteristic
65	#19151526	C₂²	1	1	yes	characteristic
66	#19151525	C₂²	1	1	yes	characteristic
67	#19151525	C₂²	1	1	yes	characteristic
68	#19151524	C₂²	1	1	yes	characteristic
69	#19151524	C₂²	1	1	yes	characteristic
70	#19151523	C₂²	1	1	yes	characteristic
71	#19151523	C₂²	1	1	yes	characteristic
72	#19151521	C₂²	1	1	yes	characteristic
73	#19151521	C₂²	1	1	yes	characteristic
74	#19151520	C₂²	1	1	yes	characteristic
75	#19151520	C₂²	1	1	yes	characteristic
76	#19151495	C₂²	1	1	yes	characteristic, complemented
77	#19151495	C₂²	1	1	yes	characteristic, complemented
78	#19151495	C₂²	1	1	yes	characteristic, complemented
79	#19151495	C₂²	1	1	yes	characteristic, complemented
80	#19151493	C₂²	1	1	yes	characteristic, complemented
81	#19151493	C₂²	1	1	yes	characteristic, complemented
82	#19151493	C₂²	1	1	yes	characteristic, complemented
83	#19151493	C₂²	1	1	yes	characteristic, complemented
84	#19151492	C₂²	1	1	yes	characteristic
85	#19151491	C₂²	1	1	yes	characteristic
86	#19151490	C₂²	1	1	yes	characteristic
87	#19151489	C₂²	1	1	yes	characteristic
88	#19151489	C₂²	1	1	yes	characteristic
89	#19151489	C₂²	1	1	yes	characteristic
90	#19151488	C₂²	1	1	yes	characteristic
91	#19151487	C₂²	1	1	yes	characteristic
92	#19151486	C₂²	1	1	yes	characteristic
93	#19151485	C₂²	1	1	yes	characteristic, complemented
94	#19151484	C₂²	1	1	yes	characteristic, complemented
95	#19151483	C₂²	1	1	yes	characteristic, complemented
96	#19151482	C₂²	1	1	yes	characteristic, complemented
97	#19151482	C₂²	1	1	yes	characteristic, complemented
98	#19151482	C₂²	1	1	yes	characteristic, complemented
99	#19151481	C₂²	1	1	yes	characteristic, complemented
100	#19151480	C₂²	1	1	yes	characteristic, complemented
101	#19151479	C₂²	1	1	yes	characteristic, complemented
102	#19151472	C₂²	1	1	yes	characteristic
103	#19151472	C₂²	1	1	yes	characteristic
104	#19151472	C₂²	1	1	yes	characteristic
105	#19151472	C₂²	1	1	yes	characteristic
106	#19151469	C₂²	1	1	yes	characteristic
107	#19151469	C₂²	1	1	yes	characteristic
108	#19151469	C₂²	1	1	yes	characteristic
109	#19151469	C₂²	1	1	yes	characteristic
110	#19151467	C₂²	1	1	yes	characteristic, complemented
111	#19151467	C₂²	1	1	yes	characteristic, complemented
112	#19151466	C₂²	1	1	yes	characteristic, complemented
113	#19151465	C₂²	1	1	yes	characteristic, complemented
114	#19151465	C₂²	1	1	yes	characteristic, complemented
115	#19151462	C₂²	1	1	yes	characteristic, complemented
116	#19151462	C₂²	1	1	yes	characteristic, complemented
117	#19151460	C₂²	1	1	yes	characteristic
118	#19151460	C₂²	1	1	yes	characteristic
119	#19151460	C₂²	1	1	yes	characteristic
120	#19151460	C₂²	1	1	yes	characteristic
121	#19151457	C₂²	1	1	yes	characteristic
122	#19151457	C₂²	1	1	yes	characteristic
123	#19151457	C₂²	1	1	yes	characteristic
124	#19151457	C₂²	1	1	yes	characteristic
125	#19151457	C₂²	1	1	yes	characteristic
126	#19151457	C₂²	1	1	yes	characteristic
127	#19151456	C₂²	1	1	yes	characteristic
128	#19151456	C₂²	1	1	yes	characteristic
129	#19151456	C₂²	1	1	yes	characteristic
130	#19151456	C₂²	1	1	yes	characteristic
131	#19151455	C₂²	1	1	yes	characteristic
132	#19151455	C₂²	1	1	yes	characteristic
133	#19151453	C₂²	1	1	yes	characteristic
134	#19151453	C₂²	1	1	yes	characteristic
135	#19151453	C₂²	1	1	yes	characteristic
136	#19151453	C₂²	1	1	yes	characteristic
137	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
138	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
139	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
140	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
141	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
142	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
143	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
144	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
145	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
146	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
152	C₄×#13083551	C₂²	1	1	yes	characteristic
153	C₄×#13083551	C₂²	1	1	yes	characteristic
154	C₄×#13083551	C₂²	1	1	yes	characteristic
155	C₄×#13083551	C₂²	1	1	yes	characteristic
156	C₄×#13083551	C₂²	1	1	yes	characteristic
157	C₄×#13083551	C₂²	1	1	yes	characteristic
158	C₄×#13083551	C₂²	1	1	yes	characteristic
159	C₄×#13083551	C₂²	1	1	yes	characteristic
160	C₄×#13083551	C₂²	1	1	yes	characteristic
161	C₄×#13083551	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
165	#19151445	C₂²	1	1	yes	characteristic
166	#19151445	C₂²	1	1	yes	characteristic
167	#19151444	C₂²	1	1	yes	characteristic, complemented
168	#19151444	C₂²	1	1	yes	characteristic, complemented
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic
171	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
173	#388×C₈₉	C₂²	1	1	yes	characteristic
174	#388×C₈₉	C₂²	1	1	yes	characteristic
175	#388×C₈₉	C₂²	1	1	yes	characteristic
176	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#383×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₄³×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₈₉	—	2	4	no	—
190	C₂²×C₄×D₈₉	—	2	4	no	—
191	C₂²×C₄×D₈₉	—	2	4	no	—
192	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
200	#15668007	—	2	4	no	—
201	#15668006	—	2	4	no	—
202	#15668005	—	2	4	no	—
203	#15667969	—	2	4	no	—
204	#15667969	—	2	4	no	—
205	#15667969	—	2	4	no	—
206	#15667969	—	2	4	no	—
207	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
213	C₂×#13083553	C₂³	1	1	yes	characteristic
214	C₂×#13083553	C₂³	1	1	yes	characteristic
215	C₂×#13083553	C₂³	1	1	yes	characteristic
216	C₂×#13083553	C₂³	1	1	yes	characteristic
217	C₂×#13083553	C₂³	1	1	yes	characteristic
218	C₂×#13083553	C₂³	1	1	yes	characteristic
219	C₂×#13083553	C₂³	1	1	yes	characteristic
220	C₂×#13083553	C₂³	1	1	yes	characteristic
221	C₂×#13083553	C₂³	1	1	yes	characteristic
222	C₂×#13083553	C₂³	1	1	yes	characteristic
223	C₂×#13083553	C₂³	1	1	yes	characteristic
224	C₂×#13083553	C₂³	1	1	yes	characteristic
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₈₉	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×#13083551	C₂³	1	1	yes	characteristic
240	C₂×#13083551	C₂³	1	1	yes	characteristic
241	C₂×#13083551	C₂³	1	1	yes	characteristic
242	C₂×#13083551	C₂³	1	1	yes	characteristic
243	C₂×#13083551	C₂³	1	1	yes	characteristic
244	C₂×#13083551	C₂³	1	1	yes	characteristic
245	C₂×#13083551	C₂³	1	1	yes	characteristic
246	C₂×#13083551	C₂³	1	1	yes	characteristic
247	C₂×#13083551	C₂³	1	1	yes	characteristic
248	C₂×#13083551	C₂³	1	1	yes	characteristic
249	C₂×#13083551	C₂³	1	1	yes	characteristic
250	C₂×#13083551	C₂³	1	1	yes	characteristic
251	C₂×#13083551	C₂³	1	1	yes	characteristic
252	C₂×#13083551	C₂³	1	1	yes	characteristic
253	C₂×#13083551	C₂³	1	1	yes	characteristic
254	C₂×#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	C₂²⋊C₄×D₈₉	—	2	4	no	—
260	C₂²⋊C₄×D₈₉	—	2	4	no	—
261	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₄²×D₈₉	—	2	4	no	—
276	C₄²×D₈₉	—	2	4	no	—
277	#15667919	C₂³	1	1	yes	characteristic
278	#15667919	C₂³	1	1	yes	characteristic
279	#15667919	C₂³	1	1	yes	characteristic
280	#15667919	C₂³	1	1	yes	characteristic
281	#15667919	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
322	#126×C₈₉	—	2	4	no	—
323	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
345	#95×C₈₉	C₂³	1	1	yes	characteristic
346	#95×C₈₉	C₂³	1	1	yes	characteristic
347	#95×C₈₉	C₂³	1	1	yes	characteristic
348	#95×C₈₉	C₂³	1	1	yes	characteristic
349	#95×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	C₂³×D₈₉	—	2	2	no	—
358	C₂³×D₈₉	—	2	2	no	—
359	C₂³×D₈₉	—	2	2	no	—
360	C₂³×D₈₉	—	2	2	no	—
361	C₂³×D₈₉	—	2	2	no	—
362	C₂³×D₈₉	—	4	1	no	—
363	C₂³×D₈₉	—	4	1	no	—
364	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
365	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₈₉	—	2	2	no	—
367	C₂²×Dic₈₉	—	2	2	no	—
368	C₂²×Dic₈₉	—	2	2	no	—
369	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×D₈₉	—	2	2	no	—
384	C₂×C₄×D₈₉	—	2	2	no	—
385	C₂×C₄×D₈₉	—	2	2	no	—
386	C₂×C₄×D₈₉	—	2	2	no	—
387	C₂×C₄×D₈₉	—	2	2	no	—
388	C₂×C₄×D₈₉	—	2	2	no	—
389	C₂×C₄×D₈₉	—	2	2	no	—
390	C₂×C₄×D₈₉	—	2	2	no	—
391	C₂×C₄×D₈₉	—	2	2	no	—
392	C₂×C₄×D₈₉	—	2	2	no	—
393	C₂×C₄×D₈₉	—	2	2	no	—
394	C₂×C₄×D₈₉	—	2	2	no	—
395	C₂×C₄×D₈₉	—	2	2	no	—
396	C₂×C₄×D₈₉	—	2	2	no	—
397	C₂×C₄×D₈₉	—	2	2	no	—
398	C₂×C₄×D₈₉	—	2	2	no	—
399	C₂×C₄×D₈₉	—	2	2	no	—
400	C₂×C₄×D₈₉	—	4	1	no	—
401	C₂×C₄×D₈₉	—	4	1	no	—
402	C₂×C₄×D₈₉	—	4	1	no	—
403	C₂×C₄×D₈₉	—	4	1	no	—
404	C₂×C₄×D₈₉	—	4	16	no	—
405	C₂×C₄×D₈₉	#41	1	4	yes	—
406	C₂×C₄×D₈₉	#41	1	4	yes	—
407	C₂×C₄×D₈₉	#41	1	4	yes	—
408	C₄⋊Dic₈₉	—	2	2	no	—
409	C₄⋊Dic₈₉	—	2	2	no	—
410	C₄⋊Dic₈₉	—	4	1	no	—
411	C₄⋊Dic₈₉	—	4	1	no	—
412	C₄⋊Dic₈₉	—	4	1	no	—
413	C₄⋊Dic₈₉	—	4	1	no	—
414	#13083553	—	2	2	no	—
415	#13083553	—	2	2	no	—
416	#13083553	—	2	2	no	—
417	#13083553	—	2	2	no	—
418	#13083553	—	2	2	no	—
419	#13083553	—	2	2	no	—
420	#13083553	—	2	2	no	—
421	#13083553	—	2	2	no	—
422	#13083553	—	2	2	no	—
423	#13083553	—	2	2	no	—
424	#13083553	—	2	2	no	—
425	#13083553	—	2	2	no	—
426	#13083553	—	2	2	no	—
427	#13083553	—	2	2	no	—
428	#13083553	—	4	1	no	—
429	#13083553	—	4	1	no	—
430	#13083553	—	4	1	no	—
431	#13083553	—	4	1	no	—
432	#13083553	—	4	1	no	—
433	#13083553	—	4	1	no	—
434	C₂²⋊Dic₈₉	—	2	2	no	—
435	C₂²⋊Dic₈₉	—	2	2	no	—
436	C₂²⋊Dic₈₉	—	2	2	no	—
437	C₂²⋊Dic₈₉	—	2	2	no	—
438	C₂²⋊Dic₈₉	—	4	1	no	—
439	C₂²⋊Dic₈₉	—	4	1	no	—
440	#13083551	—	2	2	no	—
441	#13083551	—	2	2	no	—
442	#13083551	—	2	2	no	—
443	#13083551	—	2	2	no	—
444	#13083551	—	2	2	no	—
445	#13083551	—	2	2	no	—
446	#13083551	—	2	2	no	—
447	#13083551	—	2	2	no	—
448	#13083551	—	2	2	no	—
449	#13083551	—	2	2	no	—
450	#13083551	—	2	2	no	—
451	#13083551	—	2	2	no	—
452	#13083551	—	2	2	no	—
453	#13083551	—	2	2	no	—
454	#13083551	—	2	2	no	—
455	#13083551	—	4	1	no	—
456	#13083551	—	4	1	no	—
457	#13083551	—	4	1	no	—
458	#13083551	—	4	1	no	—
459	#13083551	#41	1	4	yes	—
460	C₄×Dic₈₉	—	2	2	no	—
461	C₄×Dic₈₉	—	2	2	no	—
462	C₄×Dic₈₉	—	2	2	no	—
463	C₄×Dic₈₉	—	2	2	no	—
464	C₄×Dic₈₉	—	2	2	no	—
465	C₄×Dic₈₉	—	2	2	no	—
466	C₄×Dic₈₉	—	2	2	no	—
467	C₄×Dic₈₉	—	2	2	no	—
468	C₄×Dic₈₉	—	2	2	no	—
469	C₄×Dic₈₉	—	2	2	no	—
470	C₄×Dic₈₉	—	2	2	no	—
471	C₄×Dic₈₉	—	2	2	no	—
472	C₄×Dic₈₉	—	4	1	no	—
473	C₄×Dic₈₉	—	4	1	no	—
474	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₈₉	—	2	2	no	—
476	C₂²×C₄×C₈₉	—	2	2	no	—
477	C₂²×C₄×C₈₉	—	2	2	no	—
478	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
492	C₄⋊C₄×C₈₉	—	2	2	no	—
493	C₄⋊C₄×C₈₉	—	2	2	no	—
494	C₄⋊C₄×C₈₉	—	2	2	no	—
495	C₄⋊C₄×C₈₉	—	2	2	no	—
496	C₄⋊C₄×C₈₉	—	4	1	no	—
497	C₄⋊C₄×C₈₉	—	4	1	no	—
498	C₂²⋊C₄×C₈₉	—	2	2	no	—
499	C₂²⋊C₄×C₈₉	—	2	2	no	—
500	C₂²⋊C₄×C₈₉	—	2	2	no	—
501	C₂²⋊C₄×C₈₉	—	4	1	no	—
502	C₂²⋊C₄×C₈₉	—	4	1	no	—
503	C₂²⋊C₄×C₈₉	#41	1	4	yes	—
504	C₄²×C₈₉	—	2	2	no	—
505	C₄²×C₈₉	—	2	2	no	—
506	C₄²×C₈₉	—	2	2	no	—
507	C₄²×C₈₉	—	2	2	no	—
508	C₄²×C₈₉	—	2	2	no	—
509	C₄²×C₈₉	—	2	2	no	—
510	C₄²×C₈₉	—	2	2	no	—
511	C₄²×C₈₉	—	2	2	no	—
512	C₄²×C₈₉	—	4	1	no	—
513	C₄²×C₈₉	—	4	1	no	—
514	C₂³×C₈₉	—	2	1	no	—
515	C₂³×C₈₉	—	2	1	no	—
516	C₂³×C₈₉	—	2	1	no	—
517	C₂³×C₈₉	—	2	1	no	—
518	C₂³×C₈₉	—	2	1	no	—
519	C₂³×C₈₉	—	2	1	no	—
520	C₂³×C₈₉	C₂×#41	1	2	yes	—
521	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
522	C₂²×D₈₉	—	2	1	no	—
523	C₂²×D₈₉	—	2	1	no	—
524	C₂²×D₈₉	—	2	1	no	—
525	C₂²×D₈₉	—	2	1	no	—
526	C₂²×D₈₉	—	2	8	no	—
527	C₂²×D₈₉	—	2	1	no	—
528	C₂²×D₈₉	—	2	1	no	—
529	C₂²×D₈₉	—	2	1	no	—
530	C₂²×D₈₉	—	2	1	no	—
531	C₂²×D₈₉	—	2	1	no	—
532	C₂²×D₈₉	—	2	1	no	—
533	C₂²×D₈₉	—	4	4	no	—
534	C₂²×D₈₉	—	4	4	no	—
535	C₂²×D₈₉	—	4	4	no	—
536	C₂²×D₈₉	—	4	4	no	—
537	C₂²×D₈₉	—	4	4	no	—
538	C₂²×D₈₉	—	4	4	no	—
539	C₂²×D₈₉	C₂×#41	1	2	yes	—
540	C₂²×D₈₉	C₂×#41	1	2	yes	—
541	C₂²×D₈₉	C₂×#41	1	2	yes	—
542	C₂²×D₈₉	C₂×#41	1	2	yes	—
543	C₂×C₄×C₈₉	—	2	1	no	—
544	C₂×C₄×C₈₉	—	2	1	no	—
545	C₂×C₄×C₈₉	—	2	1	no	—
546	C₂×C₄×C₈₉	—	2	1	no	—
547	C₂×C₄×C₈₉	—	2	1	no	—
548	C₂×C₄×C₈₉	—	2	1	no	—
549	C₂×C₄×C₈₉	—	2	1	no	—
550	C₂×C₄×C₈₉	—	2	1	no	—
551	C₂×C₄×C₈₉	—	2	1	no	—
552	C₂×C₄×C₈₉	—	2	1	no	—
553	C₂×C₄×C₈₉	—	2	1	no	—
554	C₂×C₄×C₈₉	—	2	1	no	—
555	C₂×C₄×C₈₉	—	2	1	no	—
556	C₂×C₄×C₈₉	—	2	1	no	—
557	C₂×C₄×C₈₉	—	2	1	no	—
558	C₂×C₄×C₈₉	—	2	1	no	—
559	C₂×C₄×C₈₉	—	2	1	no	—
560	C₂×C₄×C₈₉	—	2	1	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	—	2	1	no	—
567	C₂×C₄×C₈₉	—	2	1	no	—
568	C₂×C₄×C₈₉	—	2	1	no	—
569	C₂×C₄×C₈₉	—	2	1	no	—
570	C₂×C₄×C₈₉	—	2	1	no	—
571	C₂×C₄×C₈₉	—	2	1	no	—
572	C₂×C₄×C₈₉	—	2	1	no	—
573	C₂×C₄×C₈₉	—	2	1	no	—
574	C₂×C₄×C₈₉	—	2	1	no	—
575	C₂×C₄×C₈₉	—	2	1	no	—
576	C₂×C₄×C₈₉	—	2	1	no	—
577	C₂×C₄×C₈₉	—	2	1	no	—
578	C₂×C₄×C₈₉	—	2	1	no	—
579	C₂×C₄×C₈₉	—	4	4	no	—
580	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
581	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
582	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
583	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
584	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
585	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
586	C₂×Dic₈₉	—	2	1	no	—
587	C₂×Dic₈₉	—	2	1	no	—
588	C₂×Dic₈₉	—	2	1	no	—
589	C₂×Dic₈₉	—	2	1	no	—
590	C₂×Dic₈₉	—	2	1	no	—
591	C₂×Dic₈₉	—	2	1	no	—
592	C₂×Dic₈₉	—	2	1	no	—
593	C₂×Dic₈₉	—	2	1	no	—
594	C₂×Dic₈₉	—	2	1	no	—
595	C₂×Dic₈₉	—	2	1	no	—
596	C₂×Dic₈₉	—	2	1	no	—
597	C₂×Dic₈₉	—	2	1	no	—
598	C₂×Dic₈₉	—	2	1	no	—
599	C₂×Dic₈₉	—	2	1	no	—
600	C₂×Dic₈₉	—	2	1	no	—
601	C₂×Dic₈₉	—	2	1	no	—
602	C₂×Dic₈₉	—	2	1	no	—
603	C₂×Dic₈₉	—	2	1	no	—
604	C₂×Dic₈₉	—	2	1	no	—
605	C₂×Dic₈₉	—	2	1	no	—
606	C₂×Dic₈₉	—	2	1	no	—
607	C₂×Dic₈₉	—	2	1	no	—
608	C₂×Dic₈₉	—	2	1	no	—
609	C₂×Dic₈₉	—	2	1	no	—
610	C₂×Dic₈₉	—	2	1	no	—
611	C₂×Dic₈₉	—	2	1	no	—
612	C₂×Dic₈₉	—	2	1	no	—
613	C₂×Dic₈₉	—	2	1	no	—
614	C₂×Dic₈₉	—	2	1	no	—
615	C₂×Dic₈₉	—	2	1	no	—
616	C₂×Dic₈₉	—	2	1	no	—
617	C₂×Dic₈₉	—	2	1	no	—
618	C₂×Dic₈₉	—	2	1	no	—
619	C₂×Dic₈₉	—	2	1	no	—
620	C₂×Dic₈₉	—	2	1	no	—
621	C₂×Dic₈₉	—	2	1	no	—
622	C₂×Dic₈₉	—	2	1	no	—
623	C₂×Dic₈₉	—	2	1	no	—
624	C₂×Dic₈₉	—	4	4	no	—
625	C₂×Dic₈₉	C₂×#41	1	2	yes	—
626	C₂×Dic₈₉	C₂×#41	1	2	yes	—
627	C₂×Dic₈₉	C₂×#41	1	2	yes	—
628	C₂×Dic₈₉	C₂×#41	1	2	yes	—
629	C₄×D₈₉	—	4	4	no	—
630	C₄×D₈₉	—	4	4	no	—
631	C₄×D₈₉	—	4	4	no	—
632	C₄×D₈₉	—	4	4	no	—
633	C₄×D₈₉	—	4	4	no	—
634	C₄×D₈₉	—	4	4	no	—
635	C₄×D₈₉	—	4	4	no	—
636	C₄×D₈₉	#126	1	16	yes	complemented
637	C₂²×C₈₉	—	2	2	no	—
638	C₂²×C₈₉	—	2	2	no	—
639	C₂²×C₈₉	—	2	2	no	—
640	C₂²×C₈₉	—	4	1	no	—
641	C₂²×C₈₉	—	4	1	no	—
642	C₂²×C₈₉	—	4	1	no	—
643	C₂²×C₈₉	—	4	1	no	—
644	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
645	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
646	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
647	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
648	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
649	C₂²×C₈₉	#585	1	1	yes	characteristic
650	C₂²×C₈₉	#585	1	1	yes	characteristic
651	C₂×D₈₉	—	2	2	no	—
652	C₂×D₈₉	—	2	2	no	—
653	C₂×D₈₉	—	2	2	no	—
654	C₂×D₈₉	—	2	2	no	—
655	C₂×D₈₉	—	2	2	no	—
656	C₂×D₈₉	—	2	2	no	—
657	C₂×D₈₉	—	2	2	no	—
658	C₂×D₈₉	—	2	2	no	—
659	C₂×D₈₉	—	2	2	no	—
660	C₂×D₈₉	—	4	16	no	—
661	C₂×D₈₉	—	4	1	no	—
662	C₂×D₈₉	—	4	1	no	—
663	C₂×D₈₉	—	4	1	no	—
664	C₂×D₈₉	—	4	1	no	—
665	C₂×D₈₉	C₂×#126	1	4	yes	—
666	C₄×C₈₉	—	2	2	no	—
667	C₄×C₈₉	—	2	2	no	—
668	C₄×C₈₉	—	2	2	no	—
669	C₄×C₈₉	—	4	1	no	—
670	C₄×C₈₉	—	4	1	no	—
671	C₄×C₈₉	—	4	1	no	—
672	C₄×C₈₉	—	4	1	no	—
673	C₄×C₈₉	—	4	1	no	—
674	C₄×C₈₉	—	4	1	no	—
675	C₄×C₈₉	—	4	1	no	—
676	C₄×C₈₉	—	4	1	no	—
677	C₄×C₈₉	—	4	1	no	—
678	C₄×C₈₉	—	4	1	no	—
679	C₄×C₈₉	C₂×#126	1	4	yes	—
680	Dic₈₉	—	2	2	no	—
681	Dic₈₉	—	4	1	no	—
682	Dic₈₉	—	4	1	no	—
683	Dic₈₉	—	4	1	no	—
684	Dic₈₉	—	4	1	no	—
685	Dic₈₉	—	4	1	no	—
686	Dic₈₉	—	4	1	no	—
687	Dic₈₉	—	4	1	no	—
688	Dic₈₉	—	4	1	no	—
689	Dic₈₉	—	4	1	no	—
690	Dic₈₉	—	4	1	no	—
691	Dic₈₉	—	4	1	no	—
692	Dic₈₉	—	4	1	no	—
693	Dic₈₉	C₂×#126	1	4	yes	—
694	#34814	—	89	1	no	maximal, Sylow
695	C₂×C₈₉	—	4	2	no	—
696	C₂×C₈₉	C₂²×#126	1	1	yes	characteristic
697	C₂×C₈₉	#3444	1	1	yes	characteristic
698	C₂×C₈₉	#3455	1	1	yes	characteristic
699	C₂×C₈₉	#3475	1	1	yes	characteristic
700	C₂×C₈₉	#3475	1	1	yes	characteristic
701	C₂×C₈₉	#3475	1	1	yes	characteristic
702	C₂×C₈₉	#3475	1	1	yes	characteristic
703	D₈₉	—	2	4	no	—
704	D₈₉	—	4	2	no	—
705	#2497	—	89	1	no	—
706	#2497	—	89	1	no	—
707	#2496	—	89	1	no	—
708	#2496	—	89	1	no	—
709	#2495	—	89	1	no	—
710	#2495	—	89	1	no	—
711	#2494	—	89	1	no	—
712	#2494	—	89	1	no	—
713	#2493	—	89	1	no	—
714	#2493	—	89	1	no	—
715	#2493	—	89	1	no	—
716	#2493	—	89	1	no	—
717	#2480	—	89	1	no	—
718	#2480	—	89	1	no	—
719	#2480	—	89	1	no	—
720	#2480	—	89	1	no	—
721	#2401	—	89	1	no	—
722	#2401	—	89	1	no	—
723	#2401	—	89	1	no	—
724	#2401	—	89	1	no	—
725	C₄×#126	—	89	1	no	—
726	C₄×#126	—	89	1	no	—
727	C₄×#126	—	89	1	no	—
728	C₄×#126	D₈₉	1	1	yes	characteristic, complemented
729	#2296	—	89	1	no	—
730	#2296	—	89	1	no	—
731	#2285	—	89	1	no	—
732	#2280	—	89	1	no	—
733	#2280	—	89	1	no	—
734	C₄×#117	—	89	1	no	—
735	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
736	C₈₉	#34814	1	1	yes	characteristic, complemented, Sylow
737	C₂⁴×C₄	—	89	1	no	—
738	C₂×#126	—	89	1	no	—
739	C₂×#126	—	89	1	no	—
740	C₂×#126	—	89	1	no	—
741	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
742	C₂×#117	—	89	1	no	—
743	C₂×#117	—	89	1	no	—
744	C₂×#117	—	89	1	no	—
745	C₂×#117	—	89	1	no	—
746	C₂²×C₂²⋊C₄	—	89	1	no	—
747	C₂²×C₂²⋊C₄	—	89	1	no	—
748	C₂²×C₄²	—	89	1	no	—
749	C₂²×C₄²	—	89	1	no	—
750	#401	—	89	1	no	—
751	#401	—	89	1	no	—
752	#401	—	89	1	no	—
753	#401	—	89	1	no	—
754	#400	—	89	1	no	—
755	#400	—	89	1	no	—
756	#400	—	89	1	no	—
757	#400	—	89	1	no	—
758	#400	—	89	1	no	—
759	#400	—	89	1	no	—
760	#400	—	89	1	no	—
761	#400	—	89	1	no	—
762	#400	—	89	1	no	—
763	#400	—	89	1	no	—
764	#400	—	89	1	no	—
765	#400	—	89	1	no	—
766	#397	—	89	1	no	—
767	#397	—	89	1	no	—
768	#397	—	89	1	no	—
769	#397	—	89	1	no	—
770	#397	—	89	1	no	—
771	#397	—	89	1	no	—
772	#397	—	89	1	no	—
773	#397	—	89	1	no	—
774	#397	—	89	1	no	—
775	#397	—	89	1	no	—
776	#397	—	89	1	no	—
777	#397	—	89	1	no	—
778	#396	—	89	1	no	—
779	#396	—	89	1	no	—
780	#396	—	89	1	no	—
781	#396	—	89	1	no	—
782	#389	—	89	1	no	—
783	#389	—	89	1	no	—
784	#389	—	89	1	no	—
785	#389	—	89	1	no	—
786	#389	—	89	1	no	—
787	#389	—	89	1	no	—
788	#389	—	89	1	no	—
789	#389	—	89	1	no	—
790	#388	—	89	1	no	—
791	#388	—	89	1	no	—
792	#388	—	89	1	no	—
793	#388	—	89	1	no	—
794	#388	—	89	1	no	—
795	#388	—	89	1	no	—
796	#388	—	89	1	no	—
797	#388	—	89	1	no	—
798	#388	—	89	1	no	—
799	#388	C₂×D₈₉	1	1	yes	characteristic
800	#388	C₂×D₈₉	1	1	yes	characteristic
801	#388	C₂×D₈₉	1	1	yes	characteristic
802	#387	—	89	1	no	—
803	#387	—	89	1	no	—
804	#387	—	89	1	no	—
805	#387	—	89	1	no	—
806	#387	—	89	1	no	—
807	#387	—	89	1	no	—
808	#387	—	89	1	no	—
809	#387	—	89	1	no	—
810	#387	—	89	1	no	—
811	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
812	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
813	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
814	#385	—	89	1	no	—
815	#385	—	89	1	no	—
816	#385	—	89	1	no	—
817	#385	—	89	1	no	—
818	#385	—	89	1	no	—
819	#385	—	89	1	no	—
820	#385	—	89	1	no	—
821	#385	—	89	1	no	—
822	#384	—	89	1	no	—
823	#384	—	89	1	no	—
824	#383	—	89	1	no	—
825	#383	—	89	1	no	—
826	#383	—	89	1	no	—
827	#383	C₂×D₈₉	1	1	yes	characteristic, complemented
828	#382	—	89	1	no	—
829	#382	—	89	1	no	—
830	#381	—	89	1	no	—
831	#381	—	89	1	no	—
832	#381	—	89	1	no	—
833	#381	—	89	1	no	—
834	#380	—	89	1	no	—
835	#380	—	89	1	no	—
836	#380	—	89	1	no	—
837	#380	—	89	1	no	—
838	#380	—	89	1	no	—
839	#380	—	89	1	no	—
840	#380	—	89	1	no	—
841	#380	—	89	1	no	—
842	#380	—	89	1	no	—
843	#380	—	89	1	no	—
844	#380	—	89	1	no	—
845	#380	—	89	1	no	—
846	#379	—	89	1	no	—
847	#379	—	89	1	no	—
848	#379	—	89	1	no	—
849	#379	—	89	1	no	—
850	C₄×C₄⋊C₄	—	89	1	no	—
851	C₄×C₄⋊C₄	—	89	1	no	—
852	C₄×C₄⋊C₄	—	89	1	no	—
853	C₄×C₄⋊C₄	—	89	1	no	—
854	C₄×C₄⋊C₄	—	89	1	no	—
855	C₄×C₄⋊C₄	—	89	1	no	—
856	C₄×C₄⋊C₄	—	89	1	no	—
857	C₄×C₄⋊C₄	—	89	1	no	—
858	C₄×C₄⋊C₄	—	89	1	no	—
859	C₄×C₄⋊C₄	—	89	1	no	—
860	C₄×C₄⋊C₄	—	89	1	no	—
861	C₄×C₄⋊C₄	—	89	1	no	—
862	C₄×C₄⋊C₄	—	89	1	no	—
863	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
864	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
865	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
866	C₄×C₂²⋊C₄	—	89	1	no	—
867	C₄×C₂²⋊C₄	—	89	1	no	—
868	C₄×C₂²⋊C₄	—	89	1	no	—
869	C₄×C₂²⋊C₄	—	89	1	no	—
870	C₄×C₂²⋊C₄	—	89	1	no	—
871	C₄×C₂²⋊C₄	—	89	1	no	—
872	C₄×C₂²⋊C₄	—	89	1	no	—
873	C₄×C₂²⋊C₄	—	89	1	no	—
874	C₄×C₂²⋊C₄	—	89	1	no	—
875	C₄×C₂²⋊C₄	—	89	1	no	—
876	C₄×C₂²⋊C₄	—	89	1	no	—
877	C₄×C₂²⋊C₄	—	89	1	no	—
878	C₄×C₂²⋊C₄	—	89	1	no	—
879	C₄×C₂²⋊C₄	—	89	1	no	—
880	C₄×C₂²⋊C₄	—	89	1	no	—
881	C₄×C₂²⋊C₄	—	89	1	no	—
882	C₄×C₂²⋊C₄	—	89	1	no	—
883	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
885	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
886	#376	—	89	1	no	—
887	#376	—	89	1	no	—
888	C₂×#95	—	89	1	no	—
889	C₂×#95	—	89	1	no	—
890	C₄³	—	89	1	no	—
891	C₄³	C₂×D₈₉	1	1	yes	characteristic, complemented
892	C₂⁵	—	89	1	no	—
893	C₂³×C₄	—	89	1	no	—
894	C₂³×C₄	—	89	1	no	—
895	C₂³×C₄	—	89	1	no	—
896	C₂³×C₄	—	89	1	no	—
897	C₂³×C₄	—	89	1	no	—
898	C₂³×C₄	—	89	1	no	—
899	C₂³×C₄	—	89	1	no	—
900	C₂³×C₄	—	89	1	no	—
901	C₂³×C₄	—	89	1	no	—
902	C₂³×C₄	—	178	4	no	—
903	C₂³×C₄	—	178	4	no	—
904	C₂³×C₄	—	178	4	no	—
905	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
906	#126	—	2	4	no	—
907	#126	—	178	4	no	—
908	#126	—	178	4	no	—
909	#126	—	178	4	no	—
910	#117	—	178	4	no	—
911	#117	—	178	4	no	—
912	#117	—	178	4	no	—
913	#117	—	178	4	no	—
914	C₂×C₄⋊C₄	—	89	1	no	—
915	C₂×C₄⋊C₄	—	89	1	no	—
916	C₂×C₄⋊C₄	—	89	1	no	—
917	C₂×C₄⋊C₄	—	89	1	no	—
918	C₂×C₄⋊C₄	—	89	1	no	—
919	C₂×C₄⋊C₄	—	89	1	no	—
920	C₂×C₄⋊C₄	—	89	1	no	—
921	C₂×C₄⋊C₄	—	89	1	no	—
922	C₂×C₄⋊C₄	—	89	1	no	—
923	C₂×C₄⋊C₄	—	89	1	no	—
924	C₂×C₄⋊C₄	—	89	1	no	—
925	C₂×C₄⋊C₄	—	89	1	no	—
926	C₂×C₄⋊C₄	—	89	1	no	—
927	C₂×C₄⋊C₄	—	89	1	no	—
928	C₂×C₄⋊C₄	—	89	1	no	—
929	C₂×C₄⋊C₄	—	89	1	no	—
930	C₂×C₄⋊C₄	—	89	1	no	—
931	C₂×C₄⋊C₄	—	89	1	no	—
932	C₂×C₄⋊C₄	—	89	1	no	—
933	C₂×C₄⋊C₄	—	89	1	no	—
934	C₂×C₄⋊C₄	—	89	1	no	—
935	C₂×C₄⋊C₄	—	89	1	no	—
936	C₂×C₄⋊C₄	—	89	1	no	—
937	C₂×C₄⋊C₄	—	89	1	no	—
938	C₂×C₄⋊C₄	—	89	1	no	—
939	C₂×C₄⋊C₄	—	89	1	no	—
940	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	—	89	1	no	—
947	C₂×C₂²⋊C₄	—	89	1	no	—
948	C₂×C₂²⋊C₄	—	89	1	no	—
949	C₂×C₂²⋊C₄	—	89	1	no	—
950	C₂×C₂²⋊C₄	—	89	1	no	—
951	C₂×C₂²⋊C₄	—	89	1	no	—
952	C₂×C₂²⋊C₄	—	89	1	no	—
953	C₂×C₂²⋊C₄	—	89	1	no	—
954	C₂×C₂²⋊C₄	—	89	1	no	—
955	C₂×C₂²⋊C₄	—	89	1	no	—
956	C₂×C₂²⋊C₄	—	89	1	no	—
957	C₂×C₂²⋊C₄	—	89	1	no	—
958	C₂×C₂²⋊C₄	—	89	1	no	—
959	C₂×C₂²⋊C₄	—	89	1	no	—
960	C₂×C₂²⋊C₄	—	89	1	no	—
961	C₂×C₂²⋊C₄	—	89	1	no	—
962	C₂×C₂²⋊C₄	—	89	1	no	—
963	C₂×C₂²⋊C₄	—	89	1	no	—
964	C₂×C₂²⋊C₄	—	89	1	no	—
965	C₂×C₂²⋊C₄	—	89	1	no	—
966	C₂×C₂²⋊C₄	—	89	1	no	—
967	C₂×C₂²⋊C₄	—	89	1	no	—
968	C₂×C₂²⋊C₄	—	89	1	no	—
969	C₂×C₂²⋊C₄	—	89	1	no	—
970	C₂×C₂²⋊C₄	—	89	1	no	—
971	C₂×C₂²⋊C₄	—	89	1	no	—
972	C₂×C₂²⋊C₄	—	178	4	no	—
973	C₂×C₂²⋊C₄	—	178	4	no	—
974	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
980	C₂×C₄²	—	89	1	no	—
981	C₂×C₄²	—	89	1	no	—
982	C₂×C₄²	—	89	1	no	—
983	C₂×C₄²	—	89	1	no	—
984	C₂×C₄²	—	89	1	no	—
985	C₂×C₄²	—	89	1	no	—
986	C₂×C₄²	—	89	1	no	—
987	C₂×C₄²	—	89	1	no	—
988	C₂×C₄²	—	89	1	no	—
989	C₂×C₄²	—	89	1	no	—
990	C₂×C₄²	—	89	1	no	—
991	C₂×C₄²	—	89	1	no	—
992	C₂×C₄²	—	89	1	no	—
993	C₂×C₄²	—	89	1	no	—
994	C₂×C₄²	—	178	4	no	—
995	C₂×C₄²	—	178	4	no	—
996	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
997	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
998	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
999	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1000	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1001	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1002	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1006	#95	—	89	1	no	—
1007	#95	—	89	1	no	—
1008	#95	—	89	1	no	—
1009	#95	—	89	1	no	—
1010	#95	—	89	1	no	—
1011	#95	—	89	1	no	—
1012	#95	—	89	1	no	—
1013	#95	—	89	1	no	—
1014	#95	—	89	1	no	—
1015	#95	—	89	1	no	—
1016	#95	—	89	1	no	—
1017	#95	—	89	1	no	—
1018	#95	—	89	1	no	—
1019	#95	—	89	1	no	—
1020	#95	—	89	1	no	—
1021	#95	—	89	1	no	—
1022	#95	—	89	1	no	—
1023	#95	—	89	1	no	—
1024	#95	—	89	1	no	—
1025	#95	—	89	1	no	—
1026	#95	—	89	1	no	—
1027	#95	—	89	1	no	—
1028	#95	—	89	1	no	—
1029	#95	—	89	1	no	—
1030	#95	—	89	1	no	—
1031	#95	—	89	1	no	—
1032	#95	—	89	1	no	—
1033	#95	—	89	1	no	—
1034	#95	—	89	1	no	—
1035	#95	—	89	1	no	—
1036	#95	—	89	1	no	—
1037	#95	—	89	1	no	—
1038	#95	—	89	1	no	—
1039	#95	—	89	1	no	—
1040	#95	—	89	1	no	—
1041	#95	—	89	1	no	—
1042	#95	—	89	1	no	—
1043	#95	—	89	1	no	—
1044	#95	—	89	1	no	—
1045	#95	—	89	1	no	—
1046	#95	—	89	1	no	—
1047	#95	—	89	1	no	—
1048	#95	—	89	1	no	—
1049	#95	—	89	1	no	—
1050	#95	C₂²×D₈₉	1	1	yes	characteristic
1051	#95	C₂²×D₈₉	1	1	yes	characteristic
1052	#95	C₂²×D₈₉	1	1	yes	characteristic
1053	#95	C₂²×D₈₉	1	1	yes	characteristic
1054	#95	C₂²×D₈₉	1	1	yes	characteristic
1055	#95	C₂²×D₈₉	1	1	yes	characteristic
1056	#95	C₂²×D₈₉	1	1	yes	characteristic
1057	#95	C₂²×D₈₉	1	1	yes	characteristic
1058	#95	C₂²×D₈₉	1	1	yes	characteristic
1059	#95	C₂²×D₈₉	1	1	yes	characteristic
1060	#95	C₂²×D₈₉	1	1	yes	characteristic
1061	#95	C₂²×D₈₉	1	1	yes	characteristic
1062	C₂⁴	—	89	1	no	—
1063	C₂⁴	—	89	1	no	—
1064	C₂⁴	—	356	1	no	—
1065	C₂⁴	—	356	1	no	—
1066	C₂⁴	—	178	2	no	—
1067	C₂⁴	—	178	2	no	—
1068	C₂⁴	—	178	2	no	—
1069	C₂⁴	—	178	2	no	—
1070	C₂⁴	—	178	2	no	—
1071	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	89	1	no	—
1076	C₂²×C₄	—	89	4	no	—
1077	C₂²×C₄	—	89	4	no	—
1078	C₂²×C₄	—	89	4	no	—
1079	C₂²×C₄	—	89	1	no	—
1080	C₂²×C₄	—	89	1	no	—
1081	C₂²×C₄	—	89	1	no	—
1082	C₂²×C₄	—	89	1	no	—
1083	C₂²×C₄	—	89	1	no	—
1084	C₂²×C₄	—	89	1	no	—
1085	C₂²×C₄	—	89	1	no	—
1086	C₂²×C₄	—	89	1	no	—
1087	C₂²×C₄	—	89	1	no	—
1088	C₂²×C₄	—	89	1	no	—
1089	C₂²×C₄	—	89	1	no	—
1090	C₂²×C₄	—	89	1	no	—
1091	C₂²×C₄	—	89	1	no	—
1092	C₂²×C₄	—	356	1	no	—
1093	C₂²×C₄	—	356	1	no	—
1094	C₂²×C₄	—	356	1	no	—
1095	C₂²×C₄	—	356	1	no	—
1096	C₂²×C₄	—	356	16	no	—
1097	C₂²×C₄	—	178	2	no	—
1098	C₂²×C₄	—	178	2	no	—
1099	C₂²×C₄	—	178	2	no	—
1100	C₂²×C₄	—	178	2	no	—
1101	C₂²×C₄	—	178	2	no	—
1102	C₂²×C₄	—	178	2	no	—
1103	C₂²×C₄	—	178	2	no	—
1104	C₂²×C₄	—	178	2	no	—
1105	C₂²×C₄	—	178	2	no	—
1106	C₂²×C₄	—	178	2	no	—
1107	C₂²×C₄	—	178	2	no	—
1108	C₂²×C₄	—	178	2	no	—
1109	C₂²×C₄	—	178	2	no	—
1110	C₂²×C₄	—	178	2	no	—
1111	C₂²×C₄	—	178	2	no	—
1112	C₂²×C₄	—	178	2	no	—
1113	C₂²×C₄	—	178	2	no	—
1114	C₂²×C₄	—	178	2	no	—
1115	C₂²×C₄	—	178	2	no	—
1116	C₂²×C₄	—	178	2	no	—
1117	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	356	1	no	—
1138	C₄⋊C₄	—	356	1	no	—
1139	C₄⋊C₄	—	356	1	no	—
1140	C₄⋊C₄	—	356	1	no	—
1141	C₄⋊C₄	—	356	1	no	—
1142	C₄⋊C₄	—	356	1	no	—
1143	C₄⋊C₄	—	356	1	no	—
1144	C₄⋊C₄	—	356	1	no	—
1145	C₄⋊C₄	—	356	1	no	—
1146	C₄⋊C₄	—	356	1	no	—
1147	C₄⋊C₄	—	178	2	no	—
1148	C₄⋊C₄	—	178	2	no	—
1149	C₄⋊C₄	—	178	2	no	—
1150	C₄⋊C₄	—	178	2	no	—
1151	C₄⋊C₄	—	178	2	no	—
1152	C₄⋊C₄	—	178	2	no	—
1153	C₄⋊C₄	—	178	2	no	—
1154	C₄⋊C₄	—	178	2	no	—
1155	C₄⋊C₄	—	178	2	no	—
1156	C₄⋊C₄	—	178	2	no	—
1157	C₄⋊C₄	—	178	2	no	—
1158	C₄⋊C₄	—	178	2	no	—
1159	C₄⋊C₄	—	178	2	no	—
1160	C₄⋊C₄	—	178	2	no	—
1161	C₄⋊C₄	—	178	2	no	—
1162	C₄⋊C₄	—	178	2	no	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	89	4	no	—
1169	C₂²⋊C₄	—	356	1	no	—
1170	C₂²⋊C₄	—	356	1	no	—
1171	C₂²⋊C₄	—	356	1	no	—
1172	C₂²⋊C₄	—	356	1	no	—
1173	C₂²⋊C₄	—	356	1	no	—
1174	C₂²⋊C₄	—	356	1	no	—
1175	C₂²⋊C₄	—	178	2	no	—
1176	C₂²⋊C₄	—	178	2	no	—
1177	C₂²⋊C₄	—	178	2	no	—
1178	C₂²⋊C₄	—	178	2	no	—
1179	C₂²⋊C₄	—	178	2	no	—
1180	C₂²⋊C₄	—	178	2	no	—
1181	C₂²⋊C₄	—	178	2	no	—
1182	C₂²⋊C₄	—	178	2	no	—
1183	C₂²⋊C₄	—	178	2	no	—
1184	C₂²⋊C₄	—	178	2	no	—
1185	C₂²⋊C₄	—	178	2	no	—
1186	C₂²⋊C₄	—	178	2	no	—
1187	C₂²⋊C₄	—	178	2	no	—
1188	C₂²⋊C₄	—	178	2	no	—
1189	C₂²⋊C₄	—	178	2	no	—
1190	C₂²⋊C₄	—	178	2	no	—
1191	C₂²⋊C₄	—	178	2	no	—
1192	C₂²⋊C₄	—	178	2	no	—
1193	C₂²⋊C₄	—	178	2	no	—
1194	C₂²⋊C₄	#13083574	1	4	yes	—
1195	C₄²	—	2	2	no	—
1196	C₄²	—	2	2	no	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	—	356	1	no	—
1206	C₄²	—	356	1	no	—
1207	C₄²	—	178	2	no	—
1208	C₄²	—	178	2	no	—
1209	C₄²	—	178	2	no	—
1210	C₄²	—	178	2	no	—
1211	C₄²	—	178	2	no	—
1212	C₄²	—	178	2	no	—
1213	C₄²	—	178	2	no	—
1214	C₄²	—	178	2	no	—
1215	C₄²	—	178	2	no	—
1216	C₄²	—	178	2	no	—
1217	C₄²	—	178	2	no	—
1218	C₄²	—	178	2	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	89	2	no	—
1226	C₂³	—	89	2	no	—
1227	C₂³	—	89	2	no	—
1228	C₂³	—	89	2	no	—
1229	C₂³	—	356	4	no	—
1230	C₂³	—	356	4	no	—
1231	C₂³	—	356	4	no	—
1232	C₂³	—	356	4	no	—
1233	C₂³	—	356	4	no	—
1234	C₂³	—	356	4	no	—
1235	C₂³	—	178	8	no	—
1236	C₂³	—	178	1	no	—
1237	C₂³	—	178	1	no	—
1238	C₂³	—	178	1	no	—
1239	C₂³	—	178	1	no	—
1240	C₂³	—	178	1	no	—
1241	C₂³	—	178	1	no	—
1242	C₂³	—	178	1	no	—
1243	C₂³	—	178	1	no	—
1244	C₂³	—	178	1	no	—
1245	C₂³	—	178	1	no	—
1246	C₂³	C₂×#13083574	1	2	yes	—
1247	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	89	2	no	—
1286	C₂×C₄	—	89	2	no	—
1287	C₂×C₄	—	89	2	no	—
1288	C₂×C₄	—	89	16	no	—
1289	C₂×C₄	—	89	2	no	—
1290	C₂×C₄	—	356	4	no	—
1291	C₂×C₄	—	356	4	no	—
1292	C₂×C₄	—	356	4	no	—
1293	C₂×C₄	—	356	4	no	—
1294	C₂×C₄	—	356	4	no	—
1295	C₂×C₄	—	356	4	no	—
1296	C₂×C₄	—	356	4	no	—
1297	C₂×C₄	—	356	4	no	—
1298	C₂×C₄	—	178	1	no	—
1299	C₂×C₄	—	178	1	no	—
1300	C₂×C₄	—	178	1	no	—
1301	C₂×C₄	—	178	1	no	—
1302	C₂×C₄	—	178	1	no	—
1303	C₂×C₄	—	178	1	no	—
1304	C₂×C₄	—	178	1	no	—
1305	C₂×C₄	—	178	1	no	—
1306	C₂×C₄	—	178	1	no	—
1307	C₂×C₄	—	178	1	no	—
1308	C₂×C₄	—	178	1	no	—
1309	C₂×C₄	—	178	1	no	—
1310	C₂×C₄	—	178	1	no	—
1311	C₂×C₄	—	178	1	no	—
1312	C₂×C₄	—	178	1	no	—
1313	C₂×C₄	—	178	1	no	—
1314	C₂×C₄	—	178	1	no	—
1315	C₂×C₄	—	178	1	no	—
1316	C₂×C₄	—	178	1	no	—
1317	C₂×C₄	—	178	1	no	—
1318	C₂×C₄	—	178	1	no	—
1319	C₂×C₄	—	178	1	no	—
1320	C₂×C₄	—	178	1	no	—
1321	C₂×C₄	—	178	1	no	—
1322	C₂×C₄	—	178	1	no	—
1323	C₂×C₄	—	178	1	no	—
1324	C₂×C₄	—	178	1	no	—
1325	C₂×C₄	—	178	1	no	—
1326	C₂×C₄	—	178	1	no	—
1327	C₂×C₄	—	178	1	no	—
1328	C₂×C₄	—	178	1	no	—
1329	C₂×C₄	—	178	1	no	—
1330	C₂×C₄	—	178	1	no	—
1331	C₂×C₄	—	178	1	no	—
1332	C₂×C₄	—	178	1	no	—
1333	C₂×C₄	—	178	1	no	—
1334	C₂×C₄	—	178	1	no	—
1335	C₂×C₄	—	178	1	no	—
1336	C₂×C₄	#41×D₈₉	1	2	yes	—
1337	C₂×C₄	#41×D₈₉	1	2	yes	—
1338	C₂×C₄	#41×D₈₉	1	2	yes	—
1339	C₂×C₄	#41×D₈₉	1	2	yes	—
1340	C₂×C₄	C₂×#13083574	1	2	yes	—
1341	C₂×C₄	C₂×#13083574	1	2	yes	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	89	4	no	—
1350	C₂²	—	356	16	no	—
1351	C₂²	—	356	1	no	—
1352	C₂²	—	356	1	no	—
1353	C₂²	—	356	1	no	—
1354	C₂²	—	356	1	no	—
1355	C₂²	—	178	2	no	—
1356	C₂²	—	178	2	no	—
1357	C₂²	—	178	2	no	—
1358	C₂²	—	178	2	no	—
1359	C₂²	—	178	2	no	—
1360	C₂²	—	178	2	no	—
1361	C₂²	—	178	2	no	—
1362	C₂²	—	178	2	no	—
1363	C₂²	—	178	2	no	—
1364	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1365	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1366	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1367	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1368	C₂²	C₂²×#13083574	1	1	yes	characteristic
1369	C₂²	#19152434	1	1	yes	characteristic
1370	C₂²	#19152434	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	89	4	no	—
1385	C₄	—	356	1	no	—
1386	C₄	—	356	1	no	—
1387	C₄	—	356	1	no	—
1388	C₄	—	356	1	no	—
1389	C₄	—	356	1	no	—
1390	C₄	—	356	1	no	—
1391	C₄	—	356	1	no	—
1392	C₄	—	356	1	no	—
1393	C₄	—	356	1	no	—
1394	C₄	—	356	1	no	—
1395	C₄	—	356	1	no	—
1396	C₄	—	356	1	no	—
1397	C₄	—	178	2	no	—
1398	C₄	#126×D₈₉	1	4	yes	—
1399	C₂	—	4	2	no	—
1400	C₂	—	356	2	no	—
1401	C₂	—	178	4	no	—
1402	C₂	C₂×#126×D₈₉	1	1	yes	characteristic
1403	C₂	#26033545	1	1	yes	characteristic
1404	C₂	#26033635	1	1	yes	characteristic
1405	C₂	#26033804	1	1	yes	characteristic
1406	C₂	#26033808	1	1	yes	characteristic
1407	C₂	#26033814	1	1	yes	characteristic
1408	C₂	#26033814	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Frattini	C₂³	C₂⁴×D₈₉
Fitting	C₄×#126×C₈₉	C₂
prime radical	C₂⁴×D₈₉	C₂³
hypercenter	C₄×#126	D₈₉
hypocenter	C₈₉	#34814
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#126

Complements

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

N	H ≅ G/N	type
1. #26024684	C₂	semidirect
2. #26024682	C₂	semidirect
3. #26024673	C₂	semidirect
4. #26024671	C₂	semidirect
5. #26024662	C₂	semidirect
6. #26024660	C₂	semidirect
7. #26024651	C₂	semidirect
8. #26024649	C₂	semidirect
9. #26024644	C₂	semidirect
10. #26024642	C₂	semidirect
11. #26024636	C₂	semidirect
12. #26024634	C₂	semidirect
17. #26023553	C₂	semidirect
18. #26023553	C₂	semidirect
19. #26023552	C₂	semidirect
20. #26023552	C₂	semidirect
21. C₄×#15668007	C₂	semidirect
22. C₄×#15668006	C₂	semidirect
23. C₄×#15668005	C₂	semidirect
24. #26022732	C₂	semidirect
25. #26022732	C₂	semidirect
26. #26022656	C₂	semidirect
29. C₄×#15667969	C₂	semidirect
31. C₄×#126×C₈₉	C₂	semidirect
44. C₈₉⋊#401	C₂²	semidirect
45. C₈₉⋊#401	C₂²	semidirect
46. C₈₉⋊#401	C₂²	semidirect
47. C₈₉⋊#401	C₂²	semidirect
48. #19151540	C₂²	semidirect
49. #19151540	C₂²	semidirect
50. #19151540	C₂²	semidirect
51. #19151540	C₂²	semidirect
52. #19151539	C₂²	semidirect
53. #19151539	C₂²	semidirect
54. #19151538	C₂²	semidirect
55. #19151538	C₂²	semidirect
56. #19151537	C₂²	semidirect
57. #19151537	C₂²	semidirect
58. #19151536	C₂²	semidirect
59. #19151536	C₂²	semidirect
76. #19151495	C₂²	semidirect
77. #19151495	C₂²	semidirect
78. #19151495	C₂²	semidirect
79. #19151495	C₂²	semidirect
80. #19151493	C₂²	semidirect
81. #19151493	C₂²	semidirect
82. #19151493	C₂²	semidirect
83. #19151493	C₂²	semidirect
93. #19151485	C₂²	semidirect
94. #19151484	C₂²	semidirect
95. #19151483	C₂²	semidirect
96. #19151482	C₂²	semidirect
97. #19151482	C₂²	semidirect
98. #19151482	C₂²	semidirect
99. #19151481	C₂²	semidirect
100. #19151480	C₂²	semidirect
101. #19151479	C₂²	semidirect
110. #19151467	C₂²	semidirect
111. #19151467	C₂²	semidirect
112. #19151466	C₂²	semidirect
113. #19151465	C₂²	semidirect
114. #19151465	C₂²	semidirect
115. #19151462	C₂²	semidirect
116. #19151462	C₂²	semidirect
137. C₄×#13083553	C₂²	semidirect
138. C₄×#13083553	C₂²	semidirect
139. C₄×#13083553	C₂²	semidirect
140. C₄×#13083553	C₂²	semidirect
141. C₄×#13083553	C₂²	semidirect
142. C₄×#13083553	C₂²	semidirect
143. C₄×#13083553	C₂²	semidirect
144. C₄×#13083553	C₂²	semidirect
145. C₄×#13083553	C₂²	semidirect
146. C₄×#13083553	C₂²	semidirect
147. C₄×C₄⋊Dic₈₉	C₂²	semidirect
148. C₄×C₄⋊Dic₈₉	C₂²	semidirect
149. C₄×C₄⋊Dic₈₉	C₂²	semidirect
167. #19151444	C₂²	semidirect
168. #19151444	C₂²	semidirect
171. C₄²×Dic₈₉	C₂²	semidirect
176. #387×C₈₉	C₂²	semidirect
177. #387×C₈₉	C₂²	semidirect
178. #387×C₈₉	C₂²	semidirect
179. #383×C₈₉	C₂²	semidirect
180. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
181. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
182. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
186. C₄³×C₈₉	C₂²	semidirect
636. C₄×D₈₉	#126	semidirect
728. C₄×#126	D₈₉	semidirect
736. C₈₉	#34814	semidirect
811. #387	C₂×D₈₉	semidirect
812. #387	C₂×D₈₉	semidirect
813. #387	C₂×D₈₉	semidirect
827. #383	C₂×D₈₉	semidirect
863. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
864. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
865. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
891. C₄³	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26024684	2
#26024682	2
#26024673	2
#26024671	2
#26024662	2
#26024660	2
#26024651	2
#26024649	2
#26024644	2
#26024642	2
#26024636	2
#26024634	2
#26024504	2
#26024502	2
#26024496	2
#26024494	2
#26023553	2
#26023552	2
C₄×#15668007	2
C₄×#15668006	2
C₄×#15668005	2
#26022732	2
#26022656	2
#26022633	2
C₄×#15667969	2
C₄×C₂²⋊C₄×D₈₉	2
C₄×#126×C₈₉	2
#34814	89