Subgroups — #36715214

Order 22784.

2742 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#123×D₈₉	C₂	1	1	yes	maximal, characteristic
2	#26023388	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023383	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023383	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023249	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023245	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023241	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023237	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023126	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023125	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023100	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023100	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023096	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023095	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023073	C₂	1	1	yes	maximal, characteristic
16	#26023070	C₂	1	1	yes	maximal, characteristic
17	#26023047	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023043	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023039	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023035	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022851	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022846	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022779	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#15667997	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022773	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#15667994	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022633	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022606	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022604	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2374	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×#15667997	C₂²	1	1	yes	characteristic
35	C₂×#15667997	C₂²	1	1	yes	characteristic
36	C₂×#15667996	C₂²	1	1	yes	characteristic
37	C₂×#15667995	C₂²	1	1	yes	characteristic
38	C₂×#15667994	C₂²	1	1	yes	characteristic
39	C₂×#15667994	C₂²	1	1	yes	characteristic
40	C₂×#15667993	C₂²	1	1	yes	characteristic
41	#123×D₈₉	C₄	1	16	yes	complemented
42	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic
43	C₂×#15667974	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
45	C₂×#15667972	C₂²	1	1	yes	characteristic
46	C₂×#15667970	C₂²	1	1	yes	characteristic
47	C₂×#15667969	C₂²	1	1	yes	characteristic
48	C₂×#15667969	C₂²	1	1	yes	characteristic, complemented
49	C₂×#15667969	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
52	C₂²×#13083551	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
59	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic, complemented
61	#19151501	C₂²	1	1	yes	characteristic
62	#19151498	C₂²	1	1	yes	characteristic
63	#19151498	C₂²	1	1	yes	characteristic
64	#19151496	C₂²	1	1	yes	characteristic, complemented
65	#19151495	C₂²	1	1	yes	characteristic, complemented
66	#19151494	C₂²	1	1	yes	characteristic, complemented
67	#19151493	C₂²	1	1	yes	characteristic, complemented
68	#19151492	C₂²	1	1	yes	characteristic, complemented
69	#19151492	C₂²	1	1	yes	characteristic, complemented
70	#19151492	C₂²	1	1	yes	characteristic, complemented
71	#19151492	C₂²	1	1	yes	characteristic, complemented
72	#19151491	C₂²	1	1	yes	characteristic, complemented
73	#19151491	C₂²	1	1	yes	characteristic, complemented
74	#19151491	C₂²	1	1	yes	characteristic, complemented
75	#19151491	C₂²	1	1	yes	characteristic, complemented
76	#19151490	C₂²	1	1	yes	characteristic, complemented
77	#19151489	C₂²	1	1	yes	characteristic, complemented
78	#19151489	C₂²	1	1	yes	characteristic, complemented
79	#19151489	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	#19151487	C₂²	1	1	yes	characteristic, complemented
84	#19151486	C₂²	1	1	yes	characteristic, complemented
85	#19151486	C₂²	1	1	yes	characteristic, complemented
86	#19151486	C₂²	1	1	yes	characteristic, complemented
87	#19151486	C₂²	1	1	yes	characteristic, complemented
88	#19151485	C₂²	1	1	yes	characteristic, complemented
89	#19151484	C₂²	1	1	yes	characteristic, complemented
90	#19151484	C₂²	1	1	yes	characteristic, complemented
91	#19151483	C₂²	1	1	yes	characteristic, complemented
92	#19151483	C₂²	1	1	yes	characteristic, complemented
93	#19151482	C₂²	1	1	yes	characteristic, complemented
94	#19151482	C₂²	1	1	yes	characteristic, complemented
95	#19151482	C₂²	1	1	yes	characteristic, complemented
96	#19151481	C₂²	1	1	yes	characteristic, complemented
97	#19151481	C₂²	1	1	yes	characteristic, complemented
98	#19151480	C₂²	1	1	yes	characteristic, complemented
99	#19151480	C₂²	1	1	yes	characteristic, complemented
100	#19151480	C₂²	1	1	yes	characteristic, complemented
101	#19151479	C₂²	1	1	yes	characteristic, complemented
102	#19151478	C₂²	1	1	yes	characteristic
103	#19151476	C₂²	1	1	yes	characteristic
104	#19151476	C₂²	1	1	yes	characteristic
105	#19151474	C₂²	1	1	yes	characteristic
106	#19151474	C₂²	1	1	yes	characteristic
107	#19151474	C₂²	1	1	yes	characteristic
108	#19151474	C₂²	1	1	yes	characteristic
109	#19151472	C₂²	1	1	yes	characteristic, complemented
110	#19151472	C₂²	1	1	yes	characteristic, complemented
111	#19151472	C₂²	1	1	yes	characteristic, complemented
112	#19151471	C₂²	1	1	yes	characteristic, complemented
113	#19151470	C₂²	1	1	yes	characteristic, complemented
114	#19151469	C₂²	1	1	yes	characteristic, complemented
115	#19151469	C₂²	1	1	yes	characteristic, complemented
116	#19151469	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, complemented
120	#19151460	C₂²	1	1	yes	characteristic, complemented
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	#19151456	C₂²	1	1	yes	characteristic, complemented
126	#19151456	C₂²	1	1	yes	characteristic, complemented
127	#19151455	C₂²	1	1	yes	characteristic
128	#19151455	C₂²	1	1	yes	characteristic
129	#19151453	C₂²	1	1	yes	characteristic
130	#19151453	C₂²	1	1	yes	characteristic
131	#19151453	C₂²	1	1	yes	characteristic
132	#19151453	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
134	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
135	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
136	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
137	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
138	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
140	#19151449	C₂²	1	1	yes	characteristic, complemented
141	#19151449	C₂²	1	1	yes	characteristic, complemented
142	#19151449	C₂²	1	1	yes	characteristic, complemented
143	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
144	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
145	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
148	C₄×#13083551	C₂²	1	1	yes	characteristic
149	C₄×#13083551	C₂²	1	1	yes	characteristic
150	C₄×#13083551	C₂²	1	1	yes	characteristic
151	C₄×#13083551	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, complemented
155	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
156	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
157	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
158	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
160	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
162	#19151445	C₂²	1	1	yes	characteristic
163	#19151445	C₂²	1	1	yes	characteristic
164	#19151445	C₂²	1	1	yes	characteristic
165	#19151445	C₂²	1	1	yes	characteristic
166	#19151445	C₂²	1	1	yes	characteristic, complemented
167	#19151445	C₂²	1	1	yes	characteristic, complemented
168	#19151445	C₂²	1	1	yes	characteristic, complemented
169	#19151445	C₂²	1	1	yes	characteristic, complemented
170	#19151445	C₂²	1	1	yes	characteristic, complemented
171	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
172	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
174	#390×C₈₉	C₂²	1	1	yes	characteristic
175	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#388×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	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
193	C₂×D₄×D₈₉	—	4	2	no	—
194	C₂×D₄×D₈₉	—	4	2	no	—
195	C₂×D₄×D₈₉	C₂×C₄	1	8	yes	—
196	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₈₉	—	4	2	no	—
199	C₂²×C₄×D₈₉	—	4	2	no	—
200	C₂²×C₄×D₈₉	C₂×C₄	1	8	yes	complemented
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	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
214	#15667997	C₂×C₄	1	8	yes	complemented
215	#15667997	C₂×C₄	1	8	yes	complemented
216	#15667996	C₂×C₄	1	8	yes	complemented
217	#15667995	C₂×C₄	1	8	yes	complemented
218	#15667994	C₂×C₄	1	8	yes	complemented
219	#15667994	C₂×C₄	1	8	yes	complemented
220	#15667993	C₂×C₄	1	8	yes	complemented
221	C₄×D₃₅₆	—	4	2	no	—
222	#15667974	—	4	2	no	—
223	C₄×C₂²⋊D₈₉	—	4	2	no	—
224	#15667972	—	4	2	no	—
225	#15667970	—	2	4	no	—
226	#15667969	—	2	4	no	—
227	#15667969	—	4	2	no	—
228	#15667969	—	4	2	no	—
229	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
234	C₂×#13083553	C₂³	1	1	yes	characteristic
235	C₂×#13083553	C₂³	1	1	yes	characteristic
236	C₂×#13083553	C₂³	1	1	yes	characteristic
237	C₂×#13083553	C₂³	1	1	yes	characteristic
238	C₂×#13083553	C₂³	1	1	yes	characteristic
239	C₂×#13083553	C₂³	1	1	yes	characteristic
240	C₂×#13083553	C₂³	1	1	yes	characteristic
241	C₂×#13083553	C₂³	1	1	yes	characteristic
242	C₂×#13083553	C₂³	1	1	yes	characteristic
243	C₂×#13083553	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₄⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
249	C₄⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
250	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×#13083551	—	2	4	no	—
261	C₂×#13083551	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×#13083551	C₂³	1	1	yes	characteristic
274	C₂×#13083551	C₂³	1	1	yes	characteristic
275	C₂×#13083551	C₂³	1	1	yes	characteristic
276	C₂×#13083551	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂²⋊C₄×D₈₉	—	2	4	no	—
286	C₂²⋊C₄×D₈₉	—	2	4	no	—
287	C₂²⋊C₄×D₈₉	—	2	4	no	—
288	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
289	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
290	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
291	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
308	C₄²×D₈₉	—	4	2	no	—
309	C₄²×D₈₉	—	4	2	no	—
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#15667919	C₂³	1	1	yes	characteristic
333	#15667919	C₂³	1	1	yes	characteristic
334	#15667919	C₂³	1	1	yes	characteristic
335	#15667919	C₂³	1	1	yes	characteristic
336	#15667919	C₂³	1	1	yes	characteristic
337	#15667919	C₂³	1	1	yes	characteristic
338	#15667919	C₂³	1	1	yes	characteristic
339	#15667919	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
343	#123×C₈₉	C₂×C₄	1	8	yes	complemented
344	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	C₂³×D₈₉	—	2	2	no	—
377	C₂³×D₈₉	—	2	2	no	—
378	C₂³×D₈₉	—	2	2	no	—
379	C₂³×D₈₉	—	2	2	no	—
380	C₂³×D₈₉	—	2	2	no	—
381	C₂³×D₈₉	—	2	2	no	—
382	C₂³×D₈₉	—	4	1	no	—
383	C₂³×D₈₉	—	4	1	no	—
384	C₂³×D₈₉	—	4	1	no	—
385	C₂³×D₈₉	—	4	1	no	—
386	C₂³×D₈₉	—	4	1	no	—
387	C₂³×D₈₉	—	4	1	no	—
388	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
389	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
390	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
391	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
392	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
393	C₂×D₃₅₆	—	2	2	no	—
394	C₂×D₃₅₆	—	2	2	no	—
395	C₂×D₃₅₆	C₂²×C₄	1	4	yes	—
396	C₂×C₂²⋊D₈₉	—	2	2	no	—
397	C₂×C₂²⋊D₈₉	—	2	2	no	—
398	C₂×C₂²⋊D₈₉	—	4	1	no	—
399	C₂×C₂²⋊D₈₉	—	4	1	no	—
400	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
401	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
402	D₄×D₈₉	—	4	16	no	—
403	C₂²×Dic₈₉	—	2	2	no	—
404	C₂²×Dic₈₉	—	4	1	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	—	4	1	no	—
408	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
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	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
430	C₂×C₄×D₈₉	—	2	2	no	—
431	C₂×C₄×D₈₉	—	2	2	no	—
432	C₂×C₄×D₈₉	—	2	2	no	—
433	C₂×C₄×D₈₉	—	2	2	no	—
434	C₂×C₄×D₈₉	—	2	2	no	—
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	4	16	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	C₂×C₄×D₈₉	—	4	1	no	—
447	C₂×C₄×D₈₉	—	4	1	no	—
448	C₂×C₄×D₈₉	—	4	1	no	—
449	C₂×C₄×D₈₉	—	4	1	no	—
450	C₂×C₄×D₈₉	—	4	1	no	—
451	C₂×C₄×D₈₉	—	4	1	no	—
452	C₂×C₄×D₈₉	—	4	1	no	—
453	C₂×C₄×D₈₉	—	4	1	no	—
454	C₂×C₄×D₈₉	—	4	1	no	—
455	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
456	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
457	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
458	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
459	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
460	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
461	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
462	C₄⋊Dic₈₉	—	2	2	no	—
463	C₄⋊Dic₈₉	—	4	1	no	—
464	C₄⋊Dic₈₉	—	4	1	no	—
465	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
466	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
467	#13083553	—	2	2	no	—
468	#13083553	—	2	2	no	—
469	#13083553	—	4	1	no	—
470	#13083553	—	4	1	no	—
471	#13083553	—	4	1	no	—
472	#13083553	—	4	1	no	—
473	#13083553	—	4	1	no	—
474	#13083553	—	4	1	no	—
475	#13083553	—	4	1	no	—
476	#13083553	—	4	1	no	—
477	#13083553	C₂²×C₄	1	4	yes	—
478	#13083553	C₂²×C₄	1	4	yes	—
479	#13083553	C₂²×C₄	1	4	yes	—
480	#13083553	C₂²×C₄	1	4	yes	—
481	C₂²⋊Dic₈₉	—	2	2	no	—
482	C₂²⋊Dic₈₉	—	2	2	no	—
483	C₂²⋊Dic₈₉	—	2	2	no	—
484	C₂²⋊Dic₈₉	—	4	1	no	—
485	C₂²⋊Dic₈₉	—	4	1	no	—
486	C₂²⋊Dic₈₉	—	4	1	no	—
487	C₂²⋊Dic₈₉	—	4	1	no	—
488	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
489	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
490	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
491	#13083551	—	2	2	no	—
492	#13083551	—	2	2	no	—
493	#13083551	—	2	2	no	—
494	#13083551	—	2	2	no	—
495	#13083551	—	2	2	no	—
496	#13083551	—	2	2	no	—
497	#13083551	—	2	2	no	—
498	#13083551	—	2	2	no	—
499	#13083551	—	2	2	no	—
500	#13083551	—	2	2	no	—
501	#13083551	—	2	2	no	—
502	#13083551	—	2	2	no	—
503	#13083551	—	4	1	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	C₂²×C₄	1	4	yes	—
508	#13083551	C₂²×C₄	1	4	yes	—
509	#13083551	C₂²×C₄	1	4	yes	—
510	#13083551	C₂²×C₄	1	4	yes	—
511	#13083551	C₂²×C₄	1	4	yes	—
512	#13083551	C₂²×C₄	1	4	yes	—
513	#13083551	#41	1	4	yes	—
514	#13083551	#41	1	4	yes	—
515	C₄×Dic₈₉	—	2	2	no	—
516	C₄×Dic₈₉	—	2	2	no	—
517	C₄×Dic₈₉	—	2	2	no	—
518	C₄×Dic₈₉	—	4	1	no	—
519	C₄×Dic₈₉	—	4	1	no	—
520	C₄×Dic₈₉	—	4	1	no	—
521	C₄×Dic₈₉	—	4	1	no	—
522	C₄×Dic₈₉	—	4	1	no	—
523	C₄×Dic₈₉	—	4	1	no	—
524	C₄×Dic₈₉	—	4	1	no	—
525	C₄×Dic₈₉	—	4	1	no	—
526	C₄×Dic₈₉	—	4	1	no	—
527	C₄×Dic₈₉	—	4	1	no	—
528	C₄×Dic₈₉	—	4	1	no	—
529	C₄×Dic₈₉	—	4	1	no	—
530	C₄×Dic₈₉	—	4	1	no	—
531	C₄×Dic₈₉	—	4	1	no	—
532	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
533	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
534	C₂×D₄×C₈₉	—	4	1	no	—
535	C₂×D₄×C₈₉	—	4	1	no	—
536	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
537	C₂²×C₄×C₈₉	—	2	2	no	—
538	C₂²×C₄×C₈₉	—	4	1	no	—
539	C₂²×C₄×C₈₉	—	4	1	no	—
540	C₂²×C₄×C₈₉	—	4	1	no	—
541	C₂²×C₄×C₈₉	—	4	1	no	—
542	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₄⋊C₄×C₈₉	—	2	2	no	—
557	C₄⋊C₄×C₈₉	—	4	1	no	—
558	C₄⋊C₄×C₈₉	—	4	1	no	—
559	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
560	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
561	C₂²⋊C₄×C₈₉	—	2	2	no	—
562	C₂²⋊C₄×C₈₉	—	2	2	no	—
563	C₂²⋊C₄×C₈₉	—	2	2	no	—
564	C₂²⋊C₄×C₈₉	—	4	1	no	—
565	C₂²⋊C₄×C₈₉	—	4	1	no	—
566	C₂²⋊C₄×C₈₉	—	4	1	no	—
567	C₂²⋊C₄×C₈₉	—	4	1	no	—
568	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
569	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
570	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
571	C₄²×C₈₉	—	2	2	no	—
572	C₄²×C₈₉	—	4	1	no	—
573	C₄²×C₈₉	—	4	1	no	—
574	C₄²×C₈₉	—	4	1	no	—
575	C₄²×C₈₉	—	4	1	no	—
576	C₄²×C₈₉	—	4	1	no	—
577	C₄²×C₈₉	—	4	1	no	—
578	C₂³×C₈₉	—	2	1	no	—
579	C₂³×C₈₉	—	2	1	no	—
580	C₂³×C₈₉	—	2	1	no	—
581	C₂³×C₈₉	—	2	1	no	—
582	C₂³×C₈₉	—	2	1	no	—
583	C₂³×C₈₉	—	2	1	no	—
584	C₂³×C₈₉	—	2	1	no	—
585	C₂³×C₈₉	—	2	1	no	—
586	C₂³×C₈₉	—	2	1	no	—
587	C₂³×C₈₉	—	2	1	no	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
591	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
592	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
593	C₂²×D₈₉	—	2	1	no	—
594	C₂²×D₈₉	—	2	1	no	—
595	C₂²×D₈₉	—	2	1	no	—
596	C₂²×D₈₉	—	2	1	no	—
597	C₂²×D₈₉	—	2	1	no	—
598	C₂²×D₈₉	—	2	1	no	—
599	C₂²×D₈₉	—	2	1	no	—
600	C₂²×D₈₉	—	2	1	no	—
601	C₂²×D₈₉	—	2	1	no	—
602	C₂²×D₈₉	—	2	1	no	—
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	—	2	1	no	—
607	C₂²×D₈₉	—	2	8	no	—
608	C₂²×D₈₉	—	2	8	no	—
609	C₂²×D₈₉	—	2	8	no	—
610	C₂²×D₈₉	—	4	4	no	—
611	C₂²×D₈₉	—	4	4	no	—
612	C₂²×D₈₉	—	4	4	no	—
613	C₂²×D₈₉	—	4	4	no	—
614	C₂²×D₈₉	—	4	4	no	—
615	C₂²×D₈₉	—	4	4	no	—
616	C₂²×D₈₉	—	4	4	no	—
617	C₂²×D₈₉	—	8	2	no	—
618	C₂²×D₈₉	—	8	2	no	—
619	C₂²×D₈₉	—	8	2	no	—
620	C₂²×D₈₉	—	8	2	no	—
621	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
622	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
623	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
624	C₂²×D₈₉	C₂×#41	1	2	yes	—
625	C₂²×D₈₉	C₂×#41	1	2	yes	—
626	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
627	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
628	D₄×C₈₉	—	4	4	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	4	4	no	—
662	C₂×C₄×C₈₉	—	8	2	no	—
663	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
664	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
665	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
666	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
667	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
668	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
669	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
670	C₂²⋊D₈₉	—	2	8	no	—
671	C₂²⋊D₈₉	—	4	4	no	—
672	C₂×Dic₈₉	—	2	1	no	—
673	C₂×Dic₈₉	—	2	1	no	—
674	C₂×Dic₈₉	—	2	1	no	—
675	C₂×Dic₈₉	—	2	1	no	—
676	C₂×Dic₈₉	—	2	1	no	—
677	C₂×Dic₈₉	—	2	1	no	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	2	1	no	—
703	C₂×Dic₈₉	—	2	1	no	—
704	C₂×Dic₈₉	—	4	4	no	—
705	C₂×Dic₈₉	—	8	2	no	—
706	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
707	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
708	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
709	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
710	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
711	C₂×Dic₈₉	C₂×#41	1	2	yes	—
712	C₂×Dic₈₉	C₂×#41	1	2	yes	—
713	D₃₅₆	—	2	8	no	—
714	C₄×D₈₉	—	2	8	no	—
715	C₄×D₈₉	—	2	8	no	—
716	C₄×D₈₉	—	2	8	no	—
717	C₄×D₈₉	—	4	4	no	—
718	C₄×D₈₉	—	4	4	no	—
719	C₄×D₈₉	—	4	4	no	—
720	C₄×D₈₉	—	4	4	no	—
721	C₄×D₈₉	—	4	4	no	—
722	C₄×D₈₉	—	4	4	no	—
723	C₄×D₈₉	—	4	4	no	—
724	C₄×D₈₉	—	4	4	no	—
725	C₄×D₈₉	—	8	2	no	—
726	C₄×D₈₉	—	8	2	no	—
727	C₂²×C₈₉	—	2	2	no	—
728	C₂²×C₈₉	—	2	2	no	—
729	C₂²×C₈₉	—	2	2	no	—
730	C₂²×C₈₉	—	2	2	no	—
731	C₂²×C₈₉	—	2	2	no	—
732	C₂²×C₈₉	—	2	2	no	—
733	C₂²×C₈₉	—	4	1	no	—
734	C₂²×C₈₉	—	4	1	no	—
735	C₂²×C₈₉	—	4	1	no	—
736	C₂²×C₈₉	—	4	1	no	—
737	C₂²×C₈₉	—	4	1	no	—
738	C₂²×C₈₉	—	4	1	no	—
739	C₂²×C₈₉	—	4	1	no	—
740	C₂²×C₈₉	—	4	1	no	—
741	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
742	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
743	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
744	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂²×C₈₉	#585	1	1	yes	characteristic
747	C₂²×C₈₉	#585	1	1	yes	characteristic
748	C₂×D₈₉	—	2	2	no	—
749	C₂×D₈₉	—	2	2	no	—
750	C₂×D₈₉	—	2	2	no	—
751	C₂×D₈₉	—	2	2	no	—
752	C₂×D₈₉	—	2	2	no	—
753	C₂×D₈₉	—	2	2	no	—
754	C₂×D₈₉	—	2	2	no	—
755	C₂×D₈₉	—	2	2	no	—
756	C₂×D₈₉	—	2	2	no	—
757	C₂×D₈₉	—	2	2	no	—
758	C₂×D₈₉	—	2	2	no	—
759	C₂×D₈₉	—	2	2	no	—
760	C₂×D₈₉	—	2	2	no	—
761	C₂×D₈₉	—	2	2	no	—
762	C₂×D₈₉	—	2	2	no	—
763	C₂×D₈₉	—	4	16	no	—
764	C₂×D₈₉	—	4	1	no	—
765	C₂×D₈₉	—	4	1	no	—
766	C₂×D₈₉	—	4	1	no	—
767	C₂×D₈₉	—	4	1	no	—
768	C₂×D₈₉	—	8	8	no	—
769	C₂×D₈₉	C₄×#41	1	4	yes	—
770	C₂×D₈₉	#518	1	4	yes	—
771	C₄×C₈₉	—	2	2	no	—
772	C₄×C₈₉	—	2	2	no	—
773	C₄×C₈₉	—	2	2	no	—
774	C₄×C₈₉	—	2	2	no	—
775	C₄×C₈₉	—	2	2	no	—
776	C₄×C₈₉	—	2	2	no	—
777	C₄×C₈₉	—	2	2	no	—
778	C₄×C₈₉	—	4	1	no	—
779	C₄×C₈₉	—	4	1	no	—
780	C₄×C₈₉	—	4	1	no	—
781	C₄×C₈₉	—	4	1	no	—
782	C₄×C₈₉	—	4	1	no	—
783	C₄×C₈₉	—	4	1	no	—
784	Dic₈₉	—	2	2	no	—
785	Dic₈₉	—	2	2	no	—
786	Dic₈₉	—	2	2	no	—
787	Dic₈₉	—	2	2	no	—
788	Dic₈₉	—	2	2	no	—
789	Dic₈₉	—	2	2	no	—
790	Dic₈₉	—	2	2	no	—
791	Dic₈₉	—	4	1	no	—
792	Dic₈₉	—	4	1	no	—
793	Dic₈₉	—	4	1	no	—
794	Dic₈₉	—	4	1	no	—
795	Dic₈₉	—	4	1	no	—
796	Dic₈₉	—	4	1	no	—
797	#34238	—	89	1	no	maximal, Sylow
798	C₂×C₈₉	—	4	2	no	—
799	C₂×C₈₉	—	4	2	no	—
800	C₂×C₈₉	C₂×C₄×#41	1	1	yes	characteristic
801	C₂×C₈₉	C₂×#518	1	1	yes	characteristic
802	C₂×C₈₉	#3428	1	1	yes	characteristic
803	C₂×C₈₉	#3513	1	1	yes	characteristic
804	C₂×C₈₉	#3513	1	1	yes	characteristic
805	C₂×C₈₉	#3513	1	1	yes	characteristic
806	C₂×C₈₉	#3513	1	1	yes	characteristic
807	D₈₉	—	2	4	no	—
808	D₈₉	—	2	4	no	—
809	D₈₉	—	4	2	no	—
810	C₂²×#123	—	89	1	no	—
811	#2374	—	89	1	no	—
812	#2374	—	89	1	no	—
813	#2374	—	89	1	no	—
814	#2374	D₈₉	1	1	yes	characteristic, complemented
815	#2359	—	89	1	no	—
816	#2359	—	89	1	no	—
817	#2359	—	89	1	no	—
818	#2359	—	89	1	no	—
819	#2345	—	89	1	no	—
820	#2345	—	89	1	no	—
821	#2342	—	89	1	no	—
822	#2342	—	89	1	no	—
823	#2342	—	89	1	no	—
824	#2342	—	89	1	no	—
825	D₄×C₂²⋊C₄	—	89	1	no	—
826	D₄×C₂²⋊C₄	—	89	1	no	—
827	#2335	—	89	1	no	—
828	#2335	—	89	1	no	—
829	#2335	—	89	1	no	—
830	#2335	—	89	1	no	—
831	#2313	—	89	1	no	—
832	#2312	—	89	1	no	—
833	C₄×#123	—	89	1	no	—
834	C₄×#123	—	89	1	no	—
835	C₄×#123	—	89	1	no	—
836	C₄×#123	—	89	1	no	—
837	#2280	—	89	1	no	—
838	#2274	—	89	1	no	—
839	#2273	—	89	1	no	—
840	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
841	C₈₉	#34238	1	1	yes	characteristic, complemented, Sylow
842	C₂³×D₄	—	89	1	no	—
843	C₂⁴×C₄	—	89	1	no	—
844	C₂×#123	—	89	1	no	—
845	C₂×#123	—	89	1	no	—
846	C₂×#123	—	89	16	no	—
847	C₂×#123	—	89	1	no	—
848	C₂×#123	—	89	1	no	—
849	C₂×#123	—	89	1	no	—
850	C₂×#123	—	89	1	no	—
851	C₂×#123	—	89	1	no	—
852	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
853	C₂×C₄×D₄	—	89	1	no	—
854	C₂×C₄×D₄	—	89	1	no	—
855	C₂×C₄×D₄	—	89	1	no	—
856	C₂×C₄×D₄	—	89	1	no	—
857	C₂×#117	—	89	1	no	—
858	C₂×#117	—	89	1	no	—
859	C₂×#117	—	89	1	no	—
860	C₂×#117	—	89	1	no	—
861	C₂²×C₄⋊C₄	—	89	1	no	—
862	C₂²×C₄⋊C₄	—	89	1	no	—
863	C₂²×C₂²⋊C₄	—	89	1	no	—
864	C₂²×C₂²⋊C₄	—	89	1	no	—
865	C₂²×C₂²⋊C₄	—	89	1	no	—
866	C₂²×C₂²⋊C₄	—	89	1	no	—
867	C₂²×C₂²⋊C₄	—	89	1	no	—
868	C₂²×C₂²⋊C₄	—	89	1	no	—
869	C₂²×C₂²⋊C₄	—	89	1	no	—
870	C₂²×C₄²	—	89	1	no	—
871	C₂²×C₄²	—	89	1	no	—
872	#390	—	89	1	no	—
873	#390	—	89	1	no	—
874	#390	—	89	1	no	—
875	#390	C₂×D₈₉	1	1	yes	characteristic
876	#389	—	89	1	no	—
877	#389	—	89	1	no	—
878	#389	—	89	1	no	—
879	#389	—	89	1	no	—
880	#388	—	89	1	no	—
881	#388	—	89	1	no	—
882	#388	—	89	1	no	—
883	#388	—	89	1	no	—
884	#388	—	89	1	no	—
885	#388	—	89	1	no	—
886	#388	—	89	1	no	—
887	#388	—	89	1	no	—
888	#388	—	89	1	no	—
889	#388	—	89	1	no	—
890	#388	—	89	1	no	—
891	#388	—	89	1	no	—
892	#388	—	89	1	no	—
893	#388	—	89	1	no	—
894	#388	—	89	1	no	—
895	#388	—	89	1	no	—
896	#388	—	89	1	no	—
897	#388	—	89	1	no	—
898	#388	—	89	1	no	—
899	#388	—	89	1	no	—
900	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
901	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
902	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
903	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
904	#387	—	89	1	no	—
905	#387	—	89	1	no	—
906	#387	—	89	1	no	—
907	#387	—	89	1	no	—
908	#387	—	89	1	no	—
909	#387	—	89	1	no	—
910	#387	—	89	1	no	—
911	#387	—	89	1	no	—
912	#387	—	89	1	no	—
913	#387	—	89	1	no	—
914	#387	—	89	1	no	—
915	#387	—	89	1	no	—
916	#387	—	89	1	no	—
917	#387	—	89	1	no	—
918	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
919	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
920	#386	—	89	1	no	—
921	#386	—	89	1	no	—
922	#386	—	89	1	no	—
923	#386	—	89	1	no	—
924	#386	—	89	1	no	—
925	#386	—	89	1	no	—
926	#386	—	89	1	no	—
927	#386	C₂×D₈₉	1	1	yes	characteristic
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	—	89	1	no	—
934	#385	—	89	1	no	—
935	#385	—	89	1	no	—
936	#381	—	89	1	no	—
937	#381	—	89	1	no	—
938	#381	—	89	1	no	—
939	#381	—	89	1	no	—
940	#380	—	89	1	no	—
941	#380	—	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	#379	—	89	1	no	—
949	#379	—	89	1	no	—
950	#379	—	89	1	no	—
951	#379	—	89	1	no	—
952	C₄×C₄⋊C₄	—	89	1	no	—
953	C₄×C₄⋊C₄	—	89	1	no	—
954	C₄×C₄⋊C₄	—	89	1	no	—
955	C₄×C₄⋊C₄	—	89	1	no	—
956	C₄×C₄⋊C₄	—	89	1	no	—
957	C₄×C₄⋊C₄	—	89	1	no	—
958	C₄×C₄⋊C₄	—	89	1	no	—
959	C₄×C₄⋊C₄	—	89	1	no	—
960	C₄×C₄⋊C₄	—	89	1	no	—
961	C₄×C₄⋊C₄	—	89	1	no	—
962	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
963	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
964	C₄×C₂²⋊C₄	—	89	1	no	—
965	C₄×C₂²⋊C₄	—	89	1	no	—
966	C₄×C₂²⋊C₄	—	89	1	no	—
967	C₄×C₂²⋊C₄	—	89	1	no	—
968	C₄×C₂²⋊C₄	—	89	1	no	—
969	C₄×C₂²⋊C₄	—	89	1	no	—
970	C₄×C₂²⋊C₄	—	89	1	no	—
971	C₄×C₂²⋊C₄	—	89	1	no	—
972	C₄×C₂²⋊C₄	—	89	1	no	—
973	C₄×C₂²⋊C₄	—	89	1	no	—
974	C₄×C₂²⋊C₄	—	89	1	no	—
975	C₄×C₂²⋊C₄	—	89	1	no	—
976	C₄×C₂²⋊C₄	—	89	1	no	—
977	C₄×C₂²⋊C₄	—	89	1	no	—
978	C₄×C₂²⋊C₄	—	89	1	no	—
979	C₄×C₂²⋊C₄	—	89	1	no	—
980	C₄×C₂²⋊C₄	—	89	1	no	—
981	C₄×C₂²⋊C₄	—	89	1	no	—
982	C₄×C₂²⋊C₄	—	89	1	no	—
983	C₄×C₂²⋊C₄	—	89	1	no	—
984	C₄×C₂²⋊C₄	—	89	1	no	—
985	C₄×C₂²⋊C₄	—	89	1	no	—
986	C₄×C₂²⋊C₄	—	89	1	no	—
987	C₄×C₂²⋊C₄	—	89	1	no	—
988	C₄×C₂²⋊C₄	—	89	1	no	—
989	C₄×C₂²⋊C₄	—	89	1	no	—
990	C₄×C₂²⋊C₄	—	89	1	no	—
991	C₄×C₂²⋊C₄	—	89	1	no	—
992	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
993	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
994	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
995	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
996	C₂×#95	—	89	1	no	—
997	C₂×#95	—	89	1	no	—
998	C₂⁵	—	89	1	no	—
999	C₂⁵	—	89	1	no	—
1000	C₂²×D₄	—	89	1	no	—
1001	C₂²×D₄	—	89	1	no	—
1002	C₂²×D₄	—	89	8	no	—
1003	C₂²×D₄	—	89	1	no	—
1004	C₂²×D₄	—	356	2	no	—
1005	C₂²×D₄	—	356	2	no	—
1006	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1007	C₂³×C₄	—	89	1	no	—
1008	C₂³×C₄	—	89	8	no	—
1009	C₂³×C₄	—	89	1	no	—
1010	C₂³×C₄	—	89	1	no	—
1011	C₂³×C₄	—	89	1	no	—
1012	C₂³×C₄	—	89	1	no	—
1013	C₂³×C₄	—	89	1	no	—
1014	C₂³×C₄	—	89	1	no	—
1015	C₂³×C₄	—	89	1	no	—
1016	C₂³×C₄	—	89	1	no	—
1017	C₂³×C₄	—	89	1	no	—
1018	C₂³×C₄	—	89	1	no	—
1019	C₂³×C₄	—	89	1	no	—
1020	C₂³×C₄	—	89	1	no	—
1021	C₂³×C₄	—	89	1	no	—
1022	C₂³×C₄	—	89	1	no	—
1023	C₂³×C₄	—	356	2	no	—
1024	C₂³×C₄	—	356	2	no	—
1025	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	#123	—	89	8	no	—
1028	#123	—	89	8	no	—
1029	#123	—	89	8	no	—
1030	#123	—	89	8	no	—
1031	#123	—	89	8	no	—
1032	#123	—	89	8	no	—
1033	#123	—	89	8	no	—
1034	#123	C₄×D₈₉	1	8	yes	complemented
1035	C₄×D₄	—	356	2	no	—
1036	C₄×D₄	—	356	2	no	—
1037	C₄×D₄	—	356	2	no	—
1038	C₄×D₄	—	356	2	no	—
1039	#117	—	356	2	no	—
1040	#117	—	356	2	no	—
1041	#117	—	178	4	no	—
1042	#117	—	178	4	no	—
1043	C₂×C₄⋊C₄	—	89	1	no	—
1044	C₂×C₄⋊C₄	—	89	1	no	—
1045	C₂×C₄⋊C₄	—	89	1	no	—
1046	C₂×C₄⋊C₄	—	89	1	no	—
1047	C₂×C₄⋊C₄	—	89	1	no	—
1048	C₂×C₄⋊C₄	—	89	1	no	—
1049	C₂×C₄⋊C₄	—	89	8	no	—
1050	C₂×C₄⋊C₄	—	89	8	no	—
1051	C₂×C₄⋊C₄	—	89	1	no	—
1052	C₂×C₄⋊C₄	—	89	1	no	—
1053	C₂×C₄⋊C₄	—	89	1	no	—
1054	C₂×C₄⋊C₄	—	89	1	no	—
1055	C₂×C₄⋊C₄	—	89	1	no	—
1056	C₂×C₄⋊C₄	—	89	1	no	—
1057	C₂×C₄⋊C₄	—	89	1	no	—
1058	C₂×C₄⋊C₄	—	89	1	no	—
1059	C₂×C₄⋊C₄	—	89	1	no	—
1060	C₂×C₄⋊C₄	—	89	1	no	—
1061	C₂×C₄⋊C₄	—	89	1	no	—
1062	C₂×C₄⋊C₄	—	89	1	no	—
1063	C₂×C₄⋊C₄	—	89	1	no	—
1064	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	—	89	1	no	—
1070	C₂×C₂²⋊C₄	—	89	1	no	—
1071	C₂×C₂²⋊C₄	—	89	1	no	—
1072	C₂×C₂²⋊C₄	—	89	1	no	—
1073	C₂×C₂²⋊C₄	—	89	1	no	—
1074	C₂×C₂²⋊C₄	—	89	1	no	—
1075	C₂×C₂²⋊C₄	—	89	1	no	—
1076	C₂×C₂²⋊C₄	—	89	1	no	—
1077	C₂×C₂²⋊C₄	—	89	1	no	—
1078	C₂×C₂²⋊C₄	—	89	1	no	—
1079	C₂×C₂²⋊C₄	—	89	1	no	—
1080	C₂×C₂²⋊C₄	—	89	8	no	—
1081	C₂×C₂²⋊C₄	—	89	8	no	—
1082	C₂×C₂²⋊C₄	—	89	8	no	—
1083	C₂×C₂²⋊C₄	—	89	1	no	—
1084	C₂×C₂²⋊C₄	—	89	1	no	—
1085	C₂×C₂²⋊C₄	—	89	1	no	—
1086	C₂×C₂²⋊C₄	—	89	1	no	—
1087	C₂×C₂²⋊C₄	—	89	1	no	—
1088	C₂×C₂²⋊C₄	—	89	1	no	—
1089	C₂×C₂²⋊C₄	—	89	1	no	—
1090	C₂×C₂²⋊C₄	—	89	1	no	—
1091	C₂×C₂²⋊C₄	—	89	1	no	—
1092	C₂×C₂²⋊C₄	—	89	1	no	—
1093	C₂×C₂²⋊C₄	—	89	1	no	—
1094	C₂×C₂²⋊C₄	—	89	1	no	—
1095	C₂×C₂²⋊C₄	—	89	1	no	—
1096	C₂×C₂²⋊C₄	—	89	1	no	—
1097	C₂×C₂²⋊C₄	—	89	1	no	—
1098	C₂×C₂²⋊C₄	—	89	1	no	—
1099	C₂×C₂²⋊C₄	—	89	1	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	178	4	no	—
1107	C₂×C₂²⋊C₄	—	178	4	no	—
1108	C₂×C₂²⋊C₄	—	178	4	no	—
1109	C₂×C₂²⋊C₄	—	178	4	no	—
1110	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1120	C₂×C₄²	—	89	1	no	—
1121	C₂×C₄²	—	89	1	no	—
1122	C₂×C₄²	—	89	1	no	—
1123	C₂×C₄²	—	89	1	no	—
1124	C₂×C₄²	—	89	1	no	—
1125	C₂×C₄²	—	89	1	no	—
1126	C₂×C₄²	—	89	1	no	—
1127	C₂×C₄²	—	89	1	no	—
1128	C₂×C₄²	—	89	1	no	—
1129	C₂×C₄²	—	89	1	no	—
1130	C₂×C₄²	—	89	1	no	—
1131	C₂×C₄²	—	89	1	no	—
1132	C₂×C₄²	—	89	1	no	—
1133	C₂×C₄²	—	89	1	no	—
1134	C₂×C₄²	—	89	1	no	—
1135	C₂×C₄²	—	89	1	no	—
1136	C₂×C₄²	—	89	1	no	—
1137	C₂×C₄²	—	356	2	no	—
1138	C₂×C₄²	—	356	2	no	—
1139	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1140	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1141	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1142	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1143	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1144	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1145	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1146	#95	—	89	1	no	—
1147	#95	—	89	1	no	—
1148	#95	—	89	1	no	—
1149	#95	—	89	1	no	—
1150	#95	—	89	1	no	—
1151	#95	—	89	1	no	—
1152	#95	—	89	1	no	—
1153	#95	—	89	1	no	—
1154	#95	—	89	1	no	—
1155	#95	—	89	1	no	—
1156	#95	—	89	1	no	—
1157	#95	—	89	1	no	—
1158	#95	—	89	1	no	—
1159	#95	—	89	1	no	—
1160	#95	—	89	1	no	—
1161	#95	—	89	1	no	—
1162	#95	—	89	1	no	—
1163	#95	—	89	1	no	—
1164	#95	—	89	1	no	—
1165	#95	—	89	1	no	—
1166	#95	—	89	1	no	—
1167	#95	—	89	1	no	—
1168	#95	—	89	1	no	—
1169	#95	—	89	1	no	—
1170	#95	—	89	1	no	—
1171	#95	—	89	1	no	—
1172	#95	—	89	1	no	—
1173	#95	—	89	1	no	—
1174	#95	—	89	1	no	—
1175	#95	—	89	1	no	—
1176	#95	C₂²×D₈₉	1	1	yes	characteristic
1177	#95	C₂²×D₈₉	1	1	yes	characteristic
1178	#95	C₂²×D₈₉	1	1	yes	characteristic
1179	#95	C₂²×D₈₉	1	1	yes	characteristic
1180	#95	C₂²×D₈₉	1	1	yes	characteristic
1181	#95	C₂²×D₈₉	1	1	yes	characteristic
1182	#95	C₂²×D₈₉	1	1	yes	characteristic
1183	#95	C₂²×D₈₉	1	1	yes	characteristic
1184	#95	C₂²×D₈₉	1	1	yes	characteristic
1185	#95	C₂²×D₈₉	1	1	yes	characteristic
1186	C₂⁴	—	89	1	no	—
1187	C₂⁴	—	89	1	no	—
1188	C₂⁴	—	89	4	no	—
1189	C₂⁴	—	89	4	no	—
1190	C₂⁴	—	89	1	no	—
1191	C₂⁴	—	356	1	no	—
1192	C₂⁴	—	356	1	no	—
1193	C₂⁴	—	356	1	no	—
1194	C₂⁴	—	356	1	no	—
1195	C₂⁴	—	356	1	no	—
1196	C₂⁴	—	356	1	no	—
1197	C₂⁴	—	178	2	no	—
1198	C₂⁴	—	178	2	no	—
1199	C₂⁴	—	178	2	no	—
1200	C₂⁴	—	178	2	no	—
1201	C₂⁴	—	178	2	no	—
1202	C₂⁴	—	178	2	no	—
1203	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1204	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	89	4	no	—
1208	C₂×D₄	—	89	4	no	—
1209	C₂×D₄	—	89	4	no	—
1210	C₂×D₄	—	356	16	no	—
1211	C₂×D₄	—	356	1	no	—
1212	C₂×D₄	—	356	1	no	—
1213	C₂×D₄	—	178	2	no	—
1214	C₂×D₄	—	178	2	no	—
1215	C₂×D₄	—	178	2	no	—
1216	C₂×D₄	—	178	2	no	—
1217	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	89	4	no	—
1224	C₂²×C₄	—	89	1	no	—
1225	C₂²×C₄	—	89	1	no	—
1226	C₂²×C₄	—	89	1	no	—
1227	C₂²×C₄	—	89	1	no	—
1228	C₂²×C₄	—	89	1	no	—
1229	C₂²×C₄	—	89	1	no	—
1230	C₂²×C₄	—	89	1	no	—
1231	C₂²×C₄	—	89	4	no	—
1232	C₂²×C₄	—	89	4	no	—
1233	C₂²×C₄	—	89	4	no	—
1234	C₂²×C₄	—	89	4	no	—
1235	C₂²×C₄	—	89	4	no	—
1236	C₂²×C₄	—	89	4	no	—
1237	C₂²×C₄	—	89	4	no	—
1238	C₂²×C₄	—	89	1	no	—
1239	C₂²×C₄	—	89	1	no	—
1240	C₂²×C₄	—	89	1	no	—
1241	C₂²×C₄	—	89	1	no	—
1242	C₂²×C₄	—	89	1	no	—
1243	C₂²×C₄	—	89	1	no	—
1244	C₂²×C₄	—	356	1	no	—
1245	C₂²×C₄	—	356	1	no	—
1246	C₂²×C₄	—	356	1	no	—
1247	C₂²×C₄	—	356	1	no	—
1248	C₂²×C₄	—	356	1	no	—
1249	C₂²×C₄	—	356	1	no	—
1250	C₂²×C₄	—	356	1	no	—
1251	C₂²×C₄	—	356	1	no	—
1252	C₂²×C₄	—	356	1	no	—
1253	C₂²×C₄	—	356	1	no	—
1254	C₂²×C₄	—	356	1	no	—
1255	C₂²×C₄	—	356	1	no	—
1256	C₂²×C₄	—	356	1	no	—
1257	C₂²×C₄	—	356	1	no	—
1258	C₂²×C₄	—	356	1	no	—
1259	C₂²×C₄	—	356	1	no	—
1260	C₂²×C₄	—	356	16	no	—
1261	C₂²×C₄	—	356	1	no	—
1262	C₂²×C₄	—	356	1	no	—
1263	C₂²×C₄	—	356	1	no	—
1264	C₂²×C₄	—	356	1	no	—
1265	C₂²×C₄	—	178	2	no	—
1266	C₂²×C₄	—	178	2	no	—
1267	C₂²×C₄	—	178	2	no	—
1268	C₂²×C₄	—	178	2	no	—
1269	C₂²×C₄	—	178	2	no	—
1270	C₂²×C₄	—	178	2	no	—
1271	C₂²×C₄	—	178	2	no	—
1272	C₂²×C₄	—	178	2	no	—
1273	C₂²×C₄	—	178	2	no	—
1274	C₂²×C₄	—	178	2	no	—
1275	C₂²×C₄	—	178	2	no	—
1276	C₂²×C₄	—	178	2	no	—
1277	C₂²×C₄	—	178	2	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	—	178	2	no	—
1280	C₂²×C₄	—	178	2	no	—
1281	C₂²×C₄	—	178	2	no	—
1282	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1283	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	89	4	no	—
1300	C₄⋊C₄	—	89	4	no	—
1301	C₄⋊C₄	—	89	4	no	—
1302	C₄⋊C₄	—	89	4	no	—
1303	C₄⋊C₄	—	89	4	no	—
1304	C₄⋊C₄	—	89	4	no	—
1305	C₄⋊C₄	—	356	1	no	—
1306	C₄⋊C₄	—	356	1	no	—
1307	C₄⋊C₄	—	356	1	no	—
1308	C₄⋊C₄	—	356	1	no	—
1309	C₄⋊C₄	—	356	1	no	—
1310	C₄⋊C₄	—	356	1	no	—
1311	C₄⋊C₄	—	356	1	no	—
1312	C₄⋊C₄	—	356	1	no	—
1313	C₄⋊C₄	—	356	1	no	—
1314	C₄⋊C₄	—	356	1	no	—
1315	C₄⋊C₄	—	178	2	no	—
1316	C₄⋊C₄	—	178	2	no	—
1317	C₄⋊C₄	—	178	2	no	—
1318	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1319	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	89	4	no	—
1328	C₂²⋊C₄	—	89	4	no	—
1329	C₂²⋊C₄	—	89	4	no	—
1330	C₂²⋊C₄	—	89	4	no	—
1331	C₂²⋊C₄	—	89	4	no	—
1332	C₂²⋊C₄	—	89	4	no	—
1333	C₂²⋊C₄	—	89	4	no	—
1334	C₂²⋊C₄	—	89	4	no	—
1335	C₂²⋊C₄	—	89	4	no	—
1336	C₂²⋊C₄	—	89	4	no	—
1337	C₂²⋊C₄	—	89	4	no	—
1338	C₂²⋊C₄	—	356	1	no	—
1339	C₂²⋊C₄	—	356	1	no	—
1340	C₂²⋊C₄	—	356	1	no	—
1341	C₂²⋊C₄	—	356	1	no	—
1342	C₂²⋊C₄	—	356	1	no	—
1343	C₂²⋊C₄	—	356	1	no	—
1344	C₂²⋊C₄	—	356	1	no	—
1345	C₂²⋊C₄	—	356	1	no	—
1346	C₂²⋊C₄	—	178	2	no	—
1347	C₂²⋊C₄	—	178	2	no	—
1348	C₂²⋊C₄	—	178	2	no	—
1349	C₂²⋊C₄	—	178	2	no	—
1350	C₂²⋊C₄	—	178	2	no	—
1351	C₂²⋊C₄	—	178	2	no	—
1352	C₂²⋊C₄	—	178	2	no	—
1353	C₂²⋊C₄	—	178	2	no	—
1354	C₂²⋊C₄	—	178	2	no	—
1355	C₂²⋊C₄	—	178	2	no	—
1356	C₂²⋊C₄	—	178	2	no	—
1357	C₂²⋊C₄	—	178	2	no	—
1358	C₂²⋊C₄	—	178	2	no	—
1359	C₂²⋊C₄	—	178	2	no	—
1360	C₂²⋊C₄	—	178	2	no	—
1361	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1362	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1363	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1364	C₄²	—	2	2	no	—
1365	C₄²	—	4	1	no	—
1366	C₄²	—	4	1	no	—
1367	C₄²	—	4	1	no	—
1368	C₄²	—	4	1	no	—
1369	C₄²	—	4	1	no	—
1370	C₄²	—	4	1	no	—
1371	C₄²	—	356	1	no	—
1372	C₄²	—	356	1	no	—
1373	C₄²	—	356	1	no	—
1374	C₄²	—	356	1	no	—
1375	C₄²	—	356	1	no	—
1376	C₄²	—	356	1	no	—
1377	C₄²	—	356	1	no	—
1378	C₄²	—	356	1	no	—
1379	C₄²	—	356	1	no	—
1380	C₄²	—	356	1	no	—
1381	C₄²	—	356	1	no	—
1382	C₄²	—	356	1	no	—
1383	C₄²	—	356	1	no	—
1384	C₄²	—	356	1	no	—
1385	C₄²	—	178	2	no	—
1386	C₄²	—	178	2	no	—
1387	C₄²	—	178	2	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	89	2	no	—
1401	C₂³	—	89	2	no	—
1402	C₂³	—	89	2	no	—
1403	C₂³	—	89	2	no	—
1404	C₂³	—	89	2	no	—
1405	C₂³	—	89	2	no	—
1406	C₂³	—	89	2	no	—
1407	C₂³	—	356	4	no	—
1408	C₂³	—	356	4	no	—
1409	C₂³	—	356	4	no	—
1410	C₂³	—	356	4	no	—
1411	C₂³	—	356	4	no	—
1412	C₂³	—	356	4	no	—
1413	C₂³	—	356	4	no	—
1414	C₂³	—	178	8	no	—
1415	C₂³	—	178	8	no	—
1416	C₂³	—	178	8	no	—
1417	C₂³	—	178	1	no	—
1418	C₂³	—	178	1	no	—
1419	C₂³	—	178	1	no	—
1420	C₂³	—	178	1	no	—
1421	C₂³	—	178	1	no	—
1422	C₂³	—	178	1	no	—
1423	C₂³	—	178	1	no	—
1424	C₂³	—	178	1	no	—
1425	C₂³	—	178	1	no	—
1426	C₂³	—	178	1	no	—
1427	C₂³	—	178	1	no	—
1428	C₂³	—	178	1	no	—
1429	C₂³	—	178	1	no	—
1430	C₂³	—	178	1	no	—
1431	C₂³	—	712	2	no	—
1432	C₂³	—	712	2	no	—
1433	C₂³	—	712	2	no	—
1434	C₂³	—	712	2	no	—
1435	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1436	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1437	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1438	D₄	—	4	4	no	—
1439	D₄	—	356	4	no	—
1440	D₄	—	178	8	no	—
1441	D₄	—	178	8	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	4	4	no	—
1475	C₂×C₄	—	8	2	no	—
1476	C₂×C₄	—	89	2	no	—
1477	C₂×C₄	—	89	2	no	—
1478	C₂×C₄	—	89	2	no	—
1479	C₂×C₄	—	89	2	no	—
1480	C₂×C₄	—	89	2	no	—
1481	C₂×C₄	—	89	2	no	—
1482	C₂×C₄	—	89	2	no	—
1483	C₂×C₄	—	356	4	no	—
1484	C₂×C₄	—	356	4	no	—
1485	C₂×C₄	—	356	4	no	—
1486	C₂×C₄	—	356	4	no	—
1487	C₂×C₄	—	356	4	no	—
1488	C₂×C₄	—	356	4	no	—
1489	C₂×C₄	—	356	4	no	—
1490	C₂×C₄	—	356	4	no	—
1491	C₂×C₄	—	356	4	no	—
1492	C₂×C₄	—	178	8	no	—
1493	C₂×C₄	—	178	8	no	—
1494	C₂×C₄	—	178	8	no	—
1495	C₂×C₄	—	178	1	no	—
1496	C₂×C₄	—	178	1	no	—
1497	C₂×C₄	—	178	1	no	—
1498	C₂×C₄	—	178	1	no	—
1499	C₂×C₄	—	178	1	no	—
1500	C₂×C₄	—	178	1	no	—
1501	C₂×C₄	—	178	1	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	—	178	1	no	—
1516	C₂×C₄	—	178	1	no	—
1517	C₂×C₄	—	178	1	no	—
1518	C₂×C₄	—	178	1	no	—
1519	C₂×C₄	—	178	1	no	—
1520	C₂×C₄	—	178	1	no	—
1521	C₂×C₄	—	178	1	no	—
1522	C₂×C₄	—	178	1	no	—
1523	C₂×C₄	—	178	1	no	—
1524	C₂×C₄	—	178	1	no	—
1525	C₂×C₄	—	178	1	no	—
1526	C₂×C₄	—	178	1	no	—
1527	C₂×C₄	—	712	2	no	—
1528	C₂×C₄	—	712	2	no	—
1529	C₂×C₄	—	712	2	no	—
1530	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1531	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1532	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1533	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1534	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1535	C₂×C₄	#41×D₈₉	1	2	yes	—
1536	C₂×C₄	#41×D₈₉	1	2	yes	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	89	4	no	—
1552	C₂²	—	89	4	no	—
1553	C₂²	—	356	16	no	—
1554	C₂²	—	356	1	no	—
1555	C₂²	—	356	1	no	—
1556	C₂²	—	356	1	no	—
1557	C₂²	—	356	1	no	—
1558	C₂²	—	178	2	no	—
1559	C₂²	—	178	2	no	—
1560	C₂²	—	178	2	no	—
1561	C₂²	—	178	2	no	—
1562	C₂²	—	178	2	no	—
1563	C₂²	—	178	2	no	—
1564	C₂²	—	178	2	no	—
1565	C₂²	—	178	2	no	—
1566	C₂²	—	178	2	no	—
1567	C₂²	—	178	2	no	—
1568	C₂²	—	178	2	no	—
1569	C₂²	—	178	2	no	—
1570	C₂²	—	178	2	no	—
1571	C₂²	—	178	2	no	—
1572	C₂²	—	178	2	no	—
1573	C₂²	—	712	8	no	—
1574	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1575	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1576	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1577	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1578	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1579	C₂²	#19152434	1	1	yes	characteristic
1580	C₂²	#19152434	1	1	yes	characteristic
1581	C₄	—	2	2	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	2	2	no	—
1586	C₄	—	2	2	no	—
1587	C₄	—	2	2	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	356	1	no	—
1595	C₄	—	356	1	no	—
1596	C₄	—	356	1	no	—
1597	C₄	—	356	1	no	—
1598	C₄	—	356	1	no	—
1599	C₄	—	356	1	no	—
1600	C₄	—	178	2	no	—
1601	C₄	—	178	2	no	—
1602	C₄	—	178	2	no	—
1603	C₄	—	178	2	no	—
1604	C₄	—	178	2	no	—
1605	C₄	—	178	2	no	—
1606	C₄	—	178	2	no	—
1607	C₂	—	4	2	no	—
1608	C₂	—	4	2	no	—
1609	C₂	—	356	2	no	—
1610	C₂	—	178	4	no	—
1611	C₂	—	178	4	no	—
1612	C₂	C₄×#41×D₈₉	1	1	yes	characteristic
1613	C₂	#518×D₈₉	1	1	yes	characteristic
1614	C₂	#26033451	1	1	yes	characteristic
1615	C₂	#26034183	1	1	yes	characteristic
1616	C₂	#26034189	1	1	yes	characteristic
1617	C₂	#26034191	1	1	yes	characteristic
1618	C₂	#26034199	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2374	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂²×D₄×D₈₉	C₂²
hypercenter	#2374	D₈₉
hypocenter	C₈₉	#34238
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2374

Complements

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

N	H ≅ G/N	type
2. #26023388	C₂	semidirect
3. #26023383	C₂	semidirect
4. #26023383	C₂	semidirect
5. #26023249	C₂	semidirect
6. #26023245	C₂	semidirect
7. #26023241	C₂	semidirect
8. #26023237	C₂	semidirect
9. #26023126	C₂	semidirect
10. #26023125	C₂	semidirect
11. #26023100	C₂	semidirect
12. #26023100	C₂	semidirect
13. #26023096	C₂	semidirect
14. #26023095	C₂	semidirect
17. #26023047	C₂	semidirect
18. #26023043	C₂	semidirect
19. #26023039	C₂	semidirect
20. #26023035	C₂	semidirect
21. #26022851	C₂	semidirect
22. #26022846	C₂	semidirect
23. #26022779	C₂	semidirect
24. C₄×#15667997	C₂	semidirect
25. #26022773	C₂	semidirect
26. C₄×#15667994	C₂	semidirect
27. #26022633	C₂	semidirect
28. #26022606	C₂	semidirect
29. #26022604	C₂	semidirect
30. C₄×C₂²⋊C₄×D₈₉	C₂	semidirect
31. C₈₉×#2374	C₂	semidirect
41. #123×D₈₉	C₄	semidirect
48. C₂×#15667969	C₂²	semidirect
49. C₂×#15667969	C₂²	semidirect
59. C₂×C₄²×D₈₉	C₂²	semidirect
60. C₂×C₄²×D₈₉	C₂²	semidirect
64. #19151496	C₂²	semidirect
65. #19151495	C₂²	semidirect
66. #19151494	C₂²	semidirect
67. #19151493	C₂²	semidirect
68. #19151492	C₂²	semidirect
69. #19151492	C₂²	semidirect
70. #19151492	C₂²	semidirect
71. #19151492	C₂²	semidirect
72. #19151491	C₂²	semidirect
73. #19151491	C₂²	semidirect
74. #19151491	C₂²	semidirect
75. #19151491	C₂²	semidirect
76. #19151490	C₂²	semidirect
77. #19151489	C₂²	semidirect
78. #19151489	C₂²	semidirect
79. #19151489	C₂²	semidirect
80. #19151488	C₂²	semidirect
81. #19151487	C₂²	semidirect
82. #19151487	C₂²	semidirect
83. #19151487	C₂²	semidirect
84. #19151486	C₂²	semidirect
85. #19151486	C₂²	semidirect
86. #19151486	C₂²	semidirect
87. #19151486	C₂²	semidirect
88. #19151485	C₂²	semidirect
89. #19151484	C₂²	semidirect
90. #19151484	C₂²	semidirect
91. #19151483	C₂²	semidirect
92. #19151483	C₂²	semidirect
93. #19151482	C₂²	semidirect
94. #19151482	C₂²	semidirect
95. #19151482	C₂²	semidirect
96. #19151481	C₂²	semidirect
97. #19151481	C₂²	semidirect
98. #19151480	C₂²	semidirect
99. #19151480	C₂²	semidirect
100. #19151480	C₂²	semidirect
101. #19151479	C₂²	semidirect
109. #19151472	C₂²	semidirect
110. #19151472	C₂²	semidirect
111. #19151472	C₂²	semidirect
112. #19151471	C₂²	semidirect
113. #19151470	C₂²	semidirect
114. #19151469	C₂²	semidirect
115. #19151469	C₂²	semidirect
116. #19151469	C₂²	semidirect
119. #19151460	C₂²	semidirect
120. #19151460	C₂²	semidirect
125. #19151456	C₂²	semidirect
126. #19151456	C₂²	semidirect
133. C₄⋊C₄×Dic₈₉	C₂²	semidirect
134. C₄⋊C₄×Dic₈₉	C₂²	semidirect
135. C₄⋊C₄×Dic₈₉	C₂²	semidirect
136. C₄×#13083553	C₂²	semidirect
137. C₄×#13083553	C₂²	semidirect
138. C₄×#13083553	C₂²	semidirect
139. C₄×C₄⋊Dic₈₉	C₂²	semidirect
140. #19151449	C₂²	semidirect
141. #19151449	C₂²	semidirect
142. #19151449	C₂²	semidirect
143. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
144. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
145. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
146. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
147. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
154. C₄×#13083551	C₂²	semidirect
155. C₄×#13083551	C₂²	semidirect
156. C₄×#13083551	C₂²	semidirect
157. C₄×#13083551	C₂²	semidirect
158. C₄×#13083551	C₂²	semidirect
159. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
160. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
161. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
166. #19151445	C₂²	semidirect
167. #19151445	C₂²	semidirect
168. #19151445	C₂²	semidirect
169. #19151445	C₂²	semidirect
170. #19151445	C₂²	semidirect
171. #95×D₈₉	C₂²	semidirect
172. #95×D₈₉	C₂²	semidirect
175. #388×C₈₉	C₂²	semidirect
176. #388×C₈₉	C₂²	semidirect
177. #388×C₈₉	C₂²	semidirect
178. #388×C₈₉	C₂²	semidirect
179. #387×C₈₉	C₂²	semidirect
180. #387×C₈₉	C₂²	semidirect
182. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
183. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
187. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
200. C₂²×C₄×D₈₉	C₂×C₄	semidirect
214. #15667997	C₂×C₄	semidirect
215. #15667997	C₂×C₄	semidirect
216. #15667996	C₂×C₄	semidirect
217. #15667995	C₂×C₄	semidirect
218. #15667994	C₂×C₄	semidirect
219. #15667994	C₂×C₄	semidirect
220. #15667993	C₂×C₄	semidirect
248. C₄⋊C₄×D₈₉	C₂×C₄	semidirect
249. C₄⋊C₄×D₈₉	C₂×C₄	semidirect
288. C₂²⋊C₄×D₈₉	C₂×C₄	semidirect
289. C₂²⋊C₄×D₈₉	C₂×C₄	semidirect
290. C₂²⋊C₄×D₈₉	C₂×C₄	semidirect
343. #123×C₈₉	C₂×C₄	semidirect
814. #2374	D₈₉	semidirect
841. C₈₉	#34238	semidirect
900. #388	C₂×D₈₉	semidirect
901. #388	C₂×D₈₉	semidirect
902. #388	C₂×D₈₉	semidirect
903. #388	C₂×D₈₉	semidirect
918. #387	C₂×D₈₉	semidirect
919. #387	C₂×D₈₉	semidirect
962. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
963. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
992. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
993. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
994. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
995. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
1034. #123	C₄×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#123×D₈₉	2
#26023388	2
#26023383	2
#26023249	2
#26023245	2
#26023241	2
#26023237	2
#26023126	2
#26023125	2
#26023100	2
#26023096	2
#26023095	2
#26023073	2
#26023070	2
#26023047	2
#26023043	2
#26023039	2
#26023035	2
#26022851	2
#26022846	2
#26022779	2
C₄×#15667997	2
#26022773	2
C₄×#15667994	2
#26022633	2
#26022606	2
#26022604	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2374	2
#34238	89