Subgroups — #2462×D₈₉ #36722412

Order 22784.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#125×D₈₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×Q₈×D₈₉	C₂	1	1	yes	maximal, characteristic
3	#26024241	C₂	1	1	yes	maximal, characteristic, complemented
4	#26024240	C₂	1	1	yes	maximal, characteristic, complemented
5	#26024239	C₂	1	1	yes	maximal, characteristic, complemented
6	#26024238	C₂	1	1	yes	maximal, characteristic, complemented
7	#26024237	C₂	1	1	yes	maximal, characteristic, complemented
8	#26024236	C₂	1	1	yes	maximal, characteristic, complemented
9	#26024235	C₂	1	1	yes	maximal, characteristic, complemented
10	#26024234	C₂	1	1	yes	maximal, characteristic, complemented
11	#26024233	C₂	1	1	yes	maximal, characteristic, complemented
12	#26024232	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024231	C₂	1	1	yes	maximal, characteristic, complemented
14	#26024230	C₂	1	1	yes	maximal, characteristic, complemented
15	#26024229	C₂	1	1	yes	maximal, characteristic, complemented
16	#26024228	C₂	1	1	yes	maximal, characteristic, complemented
17	#26024227	C₂	1	1	yes	maximal, characteristic, complemented
18	#398×D₈₉	C₂	1	1	yes	maximal, characteristic
19	#398×D₈₉	C₂	1	1	yes	maximal, characteristic
20	#395×D₈₉	C₂	1	1	yes	maximal, characteristic
21	#395×D₈₉	C₂	1	1	yes	maximal, characteristic
22	#389×D₈₉	C₂	1	1	yes	maximal, characteristic
23	#389×D₈₉	C₂	1	1	yes	maximal, characteristic
24	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
25	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
26	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
27	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
28	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
29	#387×D₈₉	C₂	1	1	yes	maximal, characteristic
30	C₄×C₄⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2462	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₈₉	C₂²	1	1	yes	characteristic
33	C₂×#15668004	C₂²	1	1	yes	characteristic
34	C₂×#15668003	C₂²	1	1	yes	characteristic
35	C₂×#15668003	C₂²	1	1	yes	characteristic
36	C₂×#15668002	C₂²	1	1	yes	characteristic
37	C₂×#15668002	C₂²	1	1	yes	characteristic
38	C₂×#15668002	C₂²	1	1	yes	characteristic
39	C₂×#15668002	C₂²	1	1	yes	characteristic
40	#125×D₈₉	—	2	8	no	—
41	C₂×Q₈×Dic₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
45	C₂×#15667977	C₂²	1	1	yes	characteristic
46	C₂×#15667977	C₂²	1	1	yes	characteristic
47	C₂×#15667977	C₂²	1	1	yes	characteristic
48	C₄×Q₈×D₈₉	—	2	8	no	—
49	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
59	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
60	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
61	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
63	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
64	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
65	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
66	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
67	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
69	#19151532	C₂²	1	1	yes	characteristic
70	#19151532	C₂²	1	1	yes	characteristic
71	#19151532	C₂²	1	1	yes	characteristic
72	#19151532	C₂²	1	1	yes	characteristic
73	#19151531	C₂²	1	1	yes	characteristic
74	#19151531	C₂²	1	1	yes	characteristic
75	#19151531	C₂²	1	1	yes	characteristic
76	#19151531	C₂²	1	1	yes	characteristic
77	#19151530	C₂²	1	1	yes	characteristic
78	#19151530	C₂²	1	1	yes	characteristic
79	#19151529	C₂²	1	1	yes	characteristic
80	#19151529	C₂²	1	1	yes	characteristic
81	#19151528	C₂²	1	1	yes	characteristic
82	#19151528	C₂²	1	1	yes	characteristic
83	#19151519	C₂²	1	1	yes	characteristic
84	#19151519	C₂²	1	1	yes	characteristic
85	#19151519	C₂²	1	1	yes	characteristic
86	#19151519	C₂²	1	1	yes	characteristic
87	#19151519	C₂²	1	1	yes	characteristic
88	#19151519	C₂²	1	1	yes	characteristic
89	#19151518	C₂²	1	1	yes	characteristic
90	#19151518	C₂²	1	1	yes	characteristic
91	#19151518	C₂²	1	1	yes	characteristic
92	#19151518	C₂²	1	1	yes	characteristic
93	#19151518	C₂²	1	1	yes	characteristic
94	#19151518	C₂²	1	1	yes	characteristic
95	#19151517	C₂²	1	1	yes	characteristic
96	#19151517	C₂²	1	1	yes	characteristic
97	#19151497	C₂²	1	1	yes	characteristic
98	#19151497	C₂²	1	1	yes	characteristic
99	#19151496	C₂²	1	1	yes	characteristic
100	#19151496	C₂²	1	1	yes	characteristic
101	#19151495	C₂²	1	1	yes	characteristic
102	#19151495	C₂²	1	1	yes	characteristic
103	#19151495	C₂²	1	1	yes	characteristic
104	#19151495	C₂²	1	1	yes	characteristic
105	#19151494	C₂²	1	1	yes	characteristic
106	#19151494	C₂²	1	1	yes	characteristic
107	#19151493	C₂²	1	1	yes	characteristic
108	#19151493	C₂²	1	1	yes	characteristic
109	#19151493	C₂²	1	1	yes	characteristic
110	#19151493	C₂²	1	1	yes	characteristic
111	#19151485	C₂²	1	1	yes	characteristic
112	#19151485	C₂²	1	1	yes	characteristic
113	#19151485	C₂²	1	1	yes	characteristic
114	#19151485	C₂²	1	1	yes	characteristic
115	#19151485	C₂²	1	1	yes	characteristic
116	#19151485	C₂²	1	1	yes	characteristic
117	#19151484	C₂²	1	1	yes	characteristic
118	#19151484	C₂²	1	1	yes	characteristic
119	#19151484	C₂²	1	1	yes	characteristic
120	#19151484	C₂²	1	1	yes	characteristic
121	#19151484	C₂²	1	1	yes	characteristic
122	#19151484	C₂²	1	1	yes	characteristic
123	#19151483	C₂²	1	1	yes	characteristic
124	#19151483	C₂²	1	1	yes	characteristic
125	#19151483	C₂²	1	1	yes	characteristic
126	#19151483	C₂²	1	1	yes	characteristic
127	#19151483	C₂²	1	1	yes	characteristic
128	#19151483	C₂²	1	1	yes	characteristic
129	#19151482	C₂²	1	1	yes	characteristic
130	#19151482	C₂²	1	1	yes	characteristic
131	#19151482	C₂²	1	1	yes	characteristic
132	#19151482	C₂²	1	1	yes	characteristic
133	#19151482	C₂²	1	1	yes	characteristic
134	#19151482	C₂²	1	1	yes	characteristic
135	#19151481	C₂²	1	1	yes	characteristic
136	#19151481	C₂²	1	1	yes	characteristic
137	#19151481	C₂²	1	1	yes	characteristic
138	#19151481	C₂²	1	1	yes	characteristic
139	#19151481	C₂²	1	1	yes	characteristic
140	#19151481	C₂²	1	1	yes	characteristic
141	#19151480	C₂²	1	1	yes	characteristic
142	#19151480	C₂²	1	1	yes	characteristic
143	#19151480	C₂²	1	1	yes	characteristic
144	#19151480	C₂²	1	1	yes	characteristic
145	#19151480	C₂²	1	1	yes	characteristic
146	#19151480	C₂²	1	1	yes	characteristic
147	#19151479	C₂²	1	1	yes	characteristic
148	#19151479	C₂²	1	1	yes	characteristic
149	#19151479	C₂²	1	1	yes	characteristic
150	#19151479	C₂²	1	1	yes	characteristic
151	#19151479	C₂²	1	1	yes	characteristic
152	#19151479	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
155	C₄×#13083553	C₂²	1	1	yes	characteristic
156	C₄×#13083553	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
158	#19151449	C₂²	1	1	yes	characteristic
159	#19151449	C₂²	1	1	yes	characteristic
160	#95×D₈₉	C₂²	1	1	yes	characteristic
161	#95×D₈₉	C₂²	1	1	yes	characteristic
162	#95×D₈₉	C₂²	1	1	yes	characteristic
163	#95×D₈₉	C₂²	1	1	yes	characteristic
164	#95×D₈₉	C₂²	1	1	yes	characteristic
165	#95×D₈₉	C₂²	1	1	yes	characteristic
166	#95×D₈₉	C₂²	1	1	yes	characteristic
167	#95×D₈₉	C₂²	1	1	yes	characteristic
168	#95×D₈₉	C₂²	1	1	yes	characteristic
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic
171	#95×D₈₉	C₂²	1	1	yes	characteristic
172	#95×D₈₉	C₂²	1	1	yes	characteristic
173	#95×D₈₉	C₂²	1	1	yes	characteristic
174	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
176	#398×C₈₉	C₂²	1	1	yes	characteristic
177	#398×C₈₉	C₂²	1	1	yes	characteristic
178	#395×C₈₉	C₂²	1	1	yes	characteristic
179	#395×C₈₉	C₂²	1	1	yes	characteristic
180	#389×C₈₉	C₂²	1	1	yes	characteristic
181	#389×C₈₉	C₂²	1	1	yes	characteristic
182	#387×C₈₉	C₂²	1	1	yes	characteristic
183	#387×C₈₉	C₂²	1	1	yes	characteristic
184	#387×C₈₉	C₂²	1	1	yes	characteristic
185	#387×C₈₉	C₂²	1	1	yes	characteristic
186	#387×C₈₉	C₂²	1	1	yes	characteristic
187	#387×C₈₉	C₂²	1	1	yes	characteristic
188	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
189	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂×Q₈×D₈₉	—	2	4	no	—
193	C₂×Q₈×D₈₉	—	2	4	no	—
194	C₂×Q₈×D₈₉	—	2	4	no	—
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	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
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	#15668004	—	2	4	no	—
211	#15668003	—	2	4	no	—
212	#15668003	—	2	4	no	—
213	#15668002	—	2	4	no	—
214	#15668002	—	2	4	no	—
215	#15668002	—	2	4	no	—
216	#15668002	—	2	4	no	—
217	Q₈×Dic₈₉	—	2	4	no	—
218	C₄×Dic₁₇₈	—	2	4	no	—
219	C₄×Dic₁₇₈	—	2	4	no	—
220	C₄×Dic₁₇₈	—	2	4	no	—
221	#15667977	—	2	4	no	—
222	#15667977	—	2	4	no	—
223	#15667977	—	2	4	no	—
224	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×#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	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×#13083553	C₂³	1	1	yes	characteristic
252	C₂×#13083553	C₂³	1	1	yes	characteristic
253	C₂×#13083553	C₂³	1	1	yes	characteristic
254	C₂×#13083553	C₂³	1	1	yes	characteristic
255	C₂×#13083553	C₂³	1	1	yes	characteristic
256	C₂×#13083553	C₂³	1	1	yes	characteristic
257	C₂×#13083553	C₂³	1	1	yes	characteristic
258	C₂×#13083553	C₂³	1	1	yes	characteristic
259	C₂×#13083553	C₂³	1	1	yes	characteristic
260	C₂×#13083553	C₂³	1	1	yes	characteristic
261	C₂×#13083553	C₂³	1	1	yes	characteristic
262	C₂×#13083553	C₂³	1	1	yes	characteristic
263	C₂×#13083553	C₂³	1	1	yes	characteristic
264	C₂×#13083553	C₂³	1	1	yes	characteristic
265	C₂×#13083553	C₂³	1	1	yes	characteristic
266	C₂×#13083553	C₂³	1	1	yes	characteristic
267	C₂×#13083553	C₂³	1	1	yes	characteristic
268	C₂×#13083553	C₂³	1	1	yes	characteristic
269	C₄⋊C₄×D₈₉	—	2	4	no	—
270	C₄⋊C₄×D₈₉	—	2	4	no	—
271	C₄⋊C₄×D₈₉	—	2	4	no	—
272	C₄⋊C₄×D₈₉	—	2	4	no	—
273	C₄⋊C₄×D₈₉	—	2	4	no	—
274	C₄⋊C₄×D₈₉	—	2	4	no	—
275	C₄⋊C₄×D₈₉	—	2	4	no	—
276	C₄⋊C₄×D₈₉	—	2	4	no	—
277	C₄⋊C₄×D₈₉	—	2	4	no	—
278	C₄⋊C₄×D₈₉	—	2	4	no	—
279	C₄⋊C₄×D₈₉	—	2	4	no	—
280	C₄⋊C₄×D₈₉	—	2	4	no	—
281	C₄⋊C₄×D₈₉	—	2	4	no	—
282	C₄⋊C₄×D₈₉	D₄	1	8	yes	—
283	C₄⋊C₄×D₈₉	Q₈	1	8	yes	complemented
284	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
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	C₄²×D₈₉	—	2	4	no	—
300	C₄²×D₈₉	—	2	4	no	—
301	C₄²×D₈₉	—	2	4	no	—
302	C₄²×D₈₉	—	2	4	no	—
303	C₄²×D₈₉	—	2	4	no	—
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#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	#15667919	C₂³	1	1	yes	characteristic
341	#15667919	C₂³	1	1	yes	characteristic
342	#15667919	C₂³	1	1	yes	characteristic
343	#15667919	C₂³	1	1	yes	characteristic
344	#15667919	C₂³	1	1	yes	characteristic
345	#15667919	C₂³	1	1	yes	characteristic
346	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
347	#125×C₈₉	—	2	4	no	—
348	C₄×Q₈×C₈₉	—	2	4	no	—
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×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	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
377	#95×C₈₉	C₂³	1	1	yes	characteristic
378	#95×C₈₉	C₂³	1	1	yes	characteristic
379	#95×C₈₉	C₂³	1	1	yes	characteristic
380	#95×C₈₉	C₂³	1	1	yes	characteristic
381	#95×C₈₉	C₂³	1	1	yes	characteristic
382	#95×C₈₉	C₂³	1	1	yes	characteristic
383	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₇₈	—	2	2	no	—
385	C₂×Dic₁₇₈	—	2	2	no	—
386	C₂×Dic₁₇₈	—	2	2	no	—
387	C₂×Dic₁₇₈	—	2	2	no	—
388	C₂×Dic₁₇₈	—	2	2	no	—
389	C₂×Dic₁₇₈	—	2	2	no	—
390	C₂×Dic₁₇₈	—	2	2	no	—
391	C₂×Dic₁₇₈	—	2	2	no	—
392	C₂×Dic₁₇₈	—	2	2	no	—
393	Q₈×D₈₉	—	2	32	no	—
394	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
409	C₂×C₄×D₈₉	—	2	2	no	—
410	C₂×C₄×D₈₉	—	2	2	no	—
411	C₂×C₄×D₈₉	—	2	2	no	—
412	C₂×C₄×D₈₉	—	2	2	no	—
413	C₂×C₄×D₈₉	—	2	2	no	—
414	C₂×C₄×D₈₉	—	2	2	no	—
415	C₂×C₄×D₈₉	—	2	2	no	—
416	C₂×C₄×D₈₉	—	2	2	no	—
417	C₂×C₄×D₈₉	—	2	2	no	—
418	C₂×C₄×D₈₉	—	2	2	no	—
419	C₂×C₄×D₈₉	—	2	2	no	—
420	C₂×C₄×D₈₉	—	2	2	no	—
421	C₂×C₄×D₈₉	—	2	2	no	—
422	C₂×C₄×D₈₉	—	2	2	no	—
423	C₂×C₄×D₈₉	—	2	2	no	—
424	C₂×C₄×D₈₉	—	2	2	no	—
425	C₂×C₄×D₈₉	—	2	2	no	—
426	C₂×C₄×D₈₉	—	2	2	no	—
427	C₂×C₄×D₈₉	—	2	2	no	—
428	C₂×C₄×D₈₉	—	2	2	no	—
429	C₂×C₄×D₈₉	—	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	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	2	2	no	—
443	C₂×C₄×D₈₉	—	2	2	no	—
444	C₂×C₄×D₈₉	—	2	2	no	—
445	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
446	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
447	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
448	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
449	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
450	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
451	C₂×C₄×D₈₉	#41	1	4	yes	—
452	C₂×C₄×D₈₉	#41	1	4	yes	—
453	C₂×C₄×D₈₉	#41	1	4	yes	—
454	C₄⋊Dic₈₉	—	2	2	no	—
455	C₄⋊Dic₈₉	—	2	2	no	—
456	C₄⋊Dic₈₉	—	2	2	no	—
457	C₄⋊Dic₈₉	—	2	2	no	—
458	C₄⋊Dic₈₉	—	2	2	no	—
459	C₄⋊Dic₈₉	—	2	2	no	—
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	C₂×D₄	1	4	yes	—
468	C₄⋊Dic₈₉	C₂×Q₈	1	4	yes	complemented
469	#13083553	—	2	2	no	—
470	#13083553	—	2	2	no	—
471	#13083553	—	2	2	no	—
472	#13083553	—	2	2	no	—
473	#13083553	—	2	2	no	—
474	#13083553	—	2	2	no	—
475	#13083553	—	2	2	no	—
476	#13083553	—	2	2	no	—
477	#13083553	—	2	2	no	—
478	#13083553	—	2	2	no	—
479	#13083553	—	2	2	no	—
480	#13083553	—	2	2	no	—
481	#13083553	—	2	2	no	—
482	#13083553	—	2	2	no	—
483	#13083553	—	2	2	no	—
484	#13083553	—	2	2	no	—
485	#13083553	—	2	2	no	—
486	#13083553	—	2	2	no	—
487	#13083553	—	2	2	no	—
488	#13083553	—	2	2	no	—
489	#13083553	—	2	2	no	—
490	#13083553	—	2	2	no	—
491	#13083553	—	2	2	no	—
492	#13083553	—	2	2	no	—
493	#13083553	—	2	2	no	—
494	#13083553	—	2	2	no	—
495	#13083553	C₂×D₄	1	4	yes	—
496	#13083553	C₂×D₄	1	4	yes	—
497	#13083553	C₂×Q₈	1	4	yes	complemented
498	#13083553	C₂×Q₈	1	4	yes	complemented
499	C₄×Dic₈₉	—	2	2	no	—
500	C₄×Dic₈₉	—	2	2	no	—
501	C₄×Dic₈₉	—	2	2	no	—
502	C₄×Dic₈₉	—	2	2	no	—
503	C₄×Dic₈₉	—	2	2	no	—
504	C₄×Dic₈₉	—	2	2	no	—
505	C₄×Dic₈₉	—	2	2	no	—
506	C₄×Dic₈₉	—	2	2	no	—
507	C₄×Dic₈₉	—	2	2	no	—
508	C₄×Dic₈₉	—	2	2	no	—
509	C₄×Dic₈₉	—	2	2	no	—
510	C₄×Dic₈₉	—	2	2	no	—
511	C₄×Dic₈₉	—	2	2	no	—
512	C₄×Dic₈₉	—	2	2	no	—
513	C₄×Dic₈₉	—	2	2	no	—
514	C₂×Q₈×C₈₉	—	2	2	no	—
515	C₂×Q₈×C₈₉	—	2	2	no	—
516	C₂×Q₈×C₈₉	—	2	2	no	—
517	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
532	C₄⋊C₄×C₈₉	—	2	2	no	—
533	C₄⋊C₄×C₈₉	—	2	2	no	—
534	C₄⋊C₄×C₈₉	—	2	2	no	—
535	C₄⋊C₄×C₈₉	—	2	2	no	—
536	C₄⋊C₄×C₈₉	—	2	2	no	—
537	C₄⋊C₄×C₈₉	—	2	2	no	—
538	C₄⋊C₄×C₈₉	—	2	2	no	—
539	C₄⋊C₄×C₈₉	—	2	2	no	—
540	C₄⋊C₄×C₈₉	—	2	2	no	—
541	C₄⋊C₄×C₈₉	—	2	2	no	—
542	C₄⋊C₄×C₈₉	—	2	2	no	—
543	C₄⋊C₄×C₈₉	—	2	2	no	—
544	C₄⋊C₄×C₈₉	—	2	2	no	—
545	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
546	C₄⋊C₄×C₈₉	C₂×Q₈	1	4	yes	complemented
547	C₄²×C₈₉	—	2	2	no	—
548	C₄²×C₈₉	—	2	2	no	—
549	C₄²×C₈₉	—	2	2	no	—
550	C₄²×C₈₉	—	2	2	no	—
551	C₄²×C₈₉	—	2	2	no	—
552	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
553	C₂²×D₈₉	C₂²×D₄	1	2	yes	—
554	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
555	C₂²×D₈₉	C₂×#41	1	2	yes	—
556	C₂²×D₈₉	C₂×#41	1	2	yes	—
557	C₂²×D₈₉	C₂×#41	1	2	yes	—
558	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
559	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
560	Q₈×C₈₉	—	2	8	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	—	2	1	no	—
567	C₂×C₄×C₈₉	—	2	1	no	—
568	C₂×C₄×C₈₉	—	2	1	no	—
569	C₂×C₄×C₈₉	—	2	1	no	—
570	C₂×C₄×C₈₉	—	2	1	no	—
571	C₂×C₄×C₈₉	—	2	1	no	—
572	C₂×C₄×C₈₉	—	2	1	no	—
573	C₂×C₄×C₈₉	—	2	1	no	—
574	C₂×C₄×C₈₉	—	2	1	no	—
575	C₂×C₄×C₈₉	—	2	1	no	—
576	C₂×C₄×C₈₉	—	2	1	no	—
577	C₂×C₄×C₈₉	—	2	1	no	—
578	C₂×C₄×C₈₉	—	2	1	no	—
579	C₂×C₄×C₈₉	—	2	1	no	—
580	C₂×C₄×C₈₉	—	2	1	no	—
581	C₂×C₄×C₈₉	—	2	1	no	—
582	C₂×C₄×C₈₉	—	2	1	no	—
583	C₂×C₄×C₈₉	—	2	1	no	—
584	C₂×C₄×C₈₉	—	2	1	no	—
585	C₂×C₄×C₈₉	—	2	1	no	—
586	C₂×C₄×C₈₉	—	2	1	no	—
587	C₂×C₄×C₈₉	—	2	1	no	—
588	C₂×C₄×C₈₉	—	2	1	no	—
589	C₂×C₄×C₈₉	—	2	1	no	—
590	C₂×C₄×C₈₉	—	2	1	no	—
591	C₂×C₄×C₈₉	—	2	1	no	—
592	C₂×C₄×C₈₉	—	2	1	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	2	1	no	—
596	C₂×C₄×C₈₉	—	2	1	no	—
597	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
598	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
599	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
600	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
601	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
602	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
603	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
604	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
605	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
606	C₂×Dic₈₉	—	2	1	no	—
607	C₂×Dic₈₉	—	2	1	no	—
608	C₂×Dic₈₉	—	2	1	no	—
609	C₂×Dic₈₉	—	2	1	no	—
610	C₂×Dic₈₉	—	2	1	no	—
611	C₂×Dic₈₉	—	2	1	no	—
612	C₂×Dic₈₉	—	2	1	no	—
613	C₂×Dic₈₉	—	2	1	no	—
614	C₂×Dic₈₉	—	2	1	no	—
615	C₂×Dic₈₉	—	2	1	no	—
616	C₂×Dic₈₉	—	2	1	no	—
617	C₂×Dic₈₉	—	2	1	no	—
618	C₂×Dic₈₉	—	2	1	no	—
619	C₂×Dic₈₉	—	2	1	no	—
620	C₂×Dic₈₉	—	2	1	no	—
621	C₂×Dic₈₉	—	2	1	no	—
622	C₂×Dic₈₉	—	2	1	no	—
623	C₂×Dic₈₉	—	2	1	no	—
624	C₂×Dic₈₉	—	2	1	no	—
625	C₂×Dic₈₉	—	2	1	no	—
626	C₂×Dic₈₉	—	2	1	no	—
627	C₂×Dic₈₉	—	2	1	no	—
628	C₂×Dic₈₉	—	2	1	no	—
629	C₂×Dic₈₉	—	2	1	no	—
630	C₂×Dic₈₉	—	2	1	no	—
631	C₂×Dic₈₉	—	2	1	no	—
632	C₂×Dic₈₉	—	2	1	no	—
633	C₂×Dic₈₉	—	2	1	no	—
634	C₂×Dic₈₉	—	2	1	no	—
635	C₂×Dic₈₉	—	2	1	no	—
636	C₂×Dic₈₉	—	2	1	no	—
637	C₂×Dic₈₉	—	2	1	no	—
638	C₂×Dic₈₉	—	2	1	no	—
639	C₂×Dic₈₉	—	2	1	no	—
640	C₂×Dic₈₉	—	2	1	no	—
641	C₂×Dic₈₉	—	2	1	no	—
642	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
643	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
644	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
645	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
646	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
647	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
648	C₂×Dic₈₉	C₂×#41	1	2	yes	—
649	C₂×Dic₈₉	C₂×#41	1	2	yes	—
650	C₂×Dic₈₉	C₂×#41	1	2	yes	—
651	C₄×D₈₉	—	2	8	no	—
652	C₄×D₈₉	—	2	8	no	—
653	C₄×D₈₉	—	2	8	no	—
654	C₄×D₈₉	—	2	8	no	—
655	C₄×D₈₉	—	2	8	no	—
656	C₄×D₈₉	—	2	8	no	—
657	C₄×D₈₉	—	2	8	no	—
658	C₄×D₈₉	—	2	8	no	—
659	C₄×D₈₉	—	2	8	no	—
660	C₄×D₈₉	—	4	4	no	—
661	C₄×D₈₉	—	4	4	no	—
662	C₄×D₈₉	—	4	4	no	—
663	C₄×D₈₉	—	4	4	no	—
664	C₄×D₈₉	—	4	4	no	—
665	C₄×D₈₉	—	4	4	no	—
666	Dic₁₇₈	—	2	8	no	—
667	Dic₁₇₈	—	2	8	no	—
668	Dic₁₇₈	—	2	8	no	—
669	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
670	C₂²×C₈₉	C₂³×Q₈	1	1	yes	characteristic
671	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
672	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
673	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
674	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
675	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
676	C₂×D₈₉	#525	1	4	yes	—
677	C₂×D₈₉	#533	1	4	yes	—
678	C₂×D₈₉	#541	1	4	yes	—
679	C₂×D₈₉	#547	1	4	yes	—
680	C₂×D₈₉	D₄×Q₈	1	4	yes	—
681	C₂×D₈₉	#552	1	4	yes	—
682	C₂×D₈₉	#557	1	4	yes	—
683	C₄×C₈₉	—	2	2	no	—
684	C₄×C₈₉	—	2	2	no	—
685	C₄×C₈₉	—	2	2	no	—
686	C₄×C₈₉	—	2	2	no	—
687	C₄×C₈₉	—	2	2	no	—
688	C₄×C₈₉	—	2	2	no	—
689	C₄×C₈₉	—	2	2	no	—
690	C₄×C₈₉	—	2	2	no	—
691	C₄×C₈₉	—	2	2	no	—
692	C₄×C₈₉	—	4	1	no	—
693	C₄×C₈₉	—	4	1	no	—
694	C₄×C₈₉	—	4	1	no	—
695	C₄×C₈₉	—	4	1	no	—
696	C₄×C₈₉	—	4	1	no	—
697	C₄×C₈₉	—	4	1	no	—
698	Dic₈₉	—	2	2	no	—
699	Dic₈₉	—	2	2	no	—
700	Dic₈₉	—	2	2	no	—
701	Dic₈₉	—	2	2	no	—
702	Dic₈₉	—	2	2	no	—
703	Dic₈₉	—	2	2	no	—
704	Dic₈₉	—	2	2	no	—
705	Dic₈₉	—	2	2	no	—
706	Dic₈₉	—	2	2	no	—
707	Dic₈₉	—	4	1	no	—
708	Dic₈₉	—	4	1	no	—
709	Dic₈₉	—	4	1	no	—
710	Dic₈₉	—	4	1	no	—
711	Dic₈₉	—	4	1	no	—
712	Dic₈₉	—	4	1	no	—
713	C₂×#2462	—	89	1	no	maximal, Sylow
714	C₂×C₈₉	C₂×#525	1	1	yes	characteristic
715	C₂×C₈₉	C₂×#533	1	1	yes	characteristic
716	C₂×C₈₉	C₂×#541	1	1	yes	characteristic
717	C₂×C₈₉	C₂×#547	1	1	yes	characteristic
718	C₂×C₈₉	C₂×D₄×Q₈	1	1	yes	characteristic
719	C₂×C₈₉	C₂×#552	1	1	yes	characteristic
720	C₂×C₈₉	C₂×#557	1	1	yes	characteristic
721	D₈₉	#2462	1	8	yes	direct product factor
722	C₂²×#125	—	89	1	no	—
723	C₂²×C₄×Q₈	—	89	1	no	—
724	#2462	—	89	1	no	—
725	#2462	—	89	1	no	—
726	#2462	—	89	1	no	—
727	#2462	—	89	1	no	—
728	#2462	—	89	1	no	—
729	#2462	—	89	1	no	—
730	#2462	—	89	1	no	—
731	#2462	—	89	1	no	—
732	#2462	—	89	1	no	—
733	#2462	—	89	1	no	—
734	#2462	—	89	1	no	—
735	#2462	—	89	1	no	—
736	#2462	—	89	1	no	—
737	#2462	—	89	1	no	—
738	#2462	—	89	1	no	—
739	#2462	D₈₉	1	1	yes	characteristic, direct product factor
740	C₂×#398	—	89	1	no	—
741	C₂×#398	—	89	1	no	—
742	C₂×#395	—	89	1	no	—
743	C₂×#395	—	89	1	no	—
744	C₂×#389	—	89	1	no	—
745	C₂×#389	—	89	1	no	—
746	C₂×#387	—	89	1	no	—
747	C₂×#387	—	89	1	no	—
748	C₂×#387	—	89	1	no	—
749	C₂×#387	—	89	1	no	—
750	C₂×#387	—	89	1	no	—
751	C₂×#387	—	89	1	no	—
752	C₂×C₄×C₄⋊C₄	—	89	1	no	—
753	C₈₉	C₂×#2462	1	1	yes	characteristic, complemented, Sylow
754	C₂³×Q₈	—	89	1	no	—
755	C₂×#125	—	89	1	no	—
756	C₂×#125	—	89	1	no	—
757	C₂×#125	—	89	1	no	—
758	C₂×#125	—	89	1	no	—
759	C₂×#125	—	89	1	no	—
760	C₂×#125	—	89	1	no	—
761	C₂×#125	—	89	1	no	—
762	C₂×#125	—	178	8	no	—
763	C₂×#125	C₂×D₈₉	1	1	yes	characteristic
764	C₂×C₄×Q₈	—	89	1	no	—
765	C₂×C₄×Q₈	—	89	1	no	—
766	C₂×C₄×Q₈	—	89	1	no	—
767	C₂×C₄×Q₈	—	89	1	no	—
768	C₂×C₄×Q₈	—	89	1	no	—
769	C₂×C₄×Q₈	—	89	1	no	—
770	C₂×C₄×Q₈	—	89	1	no	—
771	C₂×C₄×Q₈	—	178	8	no	—
772	C₂×C₄×Q₈	C₂×D₈₉	1	1	yes	characteristic
773	C₂²×C₄⋊C₄	—	89	1	no	—
774	C₂²×C₄⋊C₄	—	89	1	no	—
775	C₂²×C₄⋊C₄	—	89	1	no	—
776	C₂²×C₄⋊C₄	—	89	1	no	—
777	C₂²×C₄⋊C₄	—	89	1	no	—
778	C₂²×C₄⋊C₄	—	89	1	no	—
779	C₂²×C₄⋊C₄	—	89	1	no	—
780	C₂²×C₄⋊C₄	—	89	1	no	—
781	C₂²×C₄⋊C₄	—	89	1	no	—
782	C₂²×C₄⋊C₄	—	89	1	no	—
783	C₂²×C₄⋊C₄	—	89	1	no	—
784	C₂²×C₄⋊C₄	—	89	1	no	—
785	C₂²×C₄⋊C₄	—	89	1	no	—
786	C₂²×C₄⋊C₄	—	89	1	no	—
787	C₂²×C₄⋊C₄	—	89	1	no	—
788	C₂²×C₄²	—	89	1	no	—
789	C₂²×C₄²	—	89	1	no	—
790	C₂²×C₄²	—	89	1	no	—
791	C₂²×C₄²	—	89	1	no	—
792	C₂²×C₄²	—	89	1	no	—
793	#398	—	89	1	no	—
794	#398	—	89	1	no	—
795	#398	—	89	1	no	—
796	#398	—	89	1	no	—
797	#398	—	89	1	no	—
798	#398	—	89	1	no	—
799	#398	—	89	1	no	—
800	#398	—	89	1	no	—
801	#398	—	89	1	no	—
802	#398	—	89	1	no	—
803	#398	—	89	1	no	—
804	#398	—	89	1	no	—
805	#398	—	89	1	no	—
806	#398	—	89	1	no	—
807	#398	C₂×D₈₉	1	1	yes	characteristic
808	#398	C₂×D₈₉	1	1	yes	characteristic
809	#395	—	89	1	no	—
810	#395	—	89	1	no	—
811	#395	—	89	1	no	—
812	#395	—	89	1	no	—
813	#395	—	89	1	no	—
814	#395	—	89	1	no	—
815	#395	—	89	1	no	—
816	#395	—	89	1	no	—
817	#395	—	89	1	no	—
818	#395	—	89	1	no	—
819	#395	—	89	1	no	—
820	#395	—	89	1	no	—
821	#395	—	89	1	no	—
822	#395	—	89	1	no	—
823	#395	C₂×D₈₉	1	1	yes	characteristic
824	#395	C₂×D₈₉	1	1	yes	characteristic
825	#389	—	89	1	no	—
826	#389	—	89	1	no	—
827	#389	—	89	1	no	—
828	#389	—	89	1	no	—
829	#389	—	89	1	no	—
830	#389	—	89	1	no	—
831	#389	—	89	1	no	—
832	#389	—	89	1	no	—
833	#389	—	89	1	no	—
834	#389	—	89	1	no	—
835	#389	—	89	1	no	—
836	#389	—	89	1	no	—
837	#389	—	89	1	no	—
838	#389	—	89	1	no	—
839	#389	C₂×D₈₉	1	1	yes	characteristic
840	#389	C₂×D₈₉	1	1	yes	characteristic
841	#387	—	89	1	no	—
842	#387	—	89	1	no	—
843	#387	—	89	1	no	—
844	#387	—	89	1	no	—
845	#387	—	89	1	no	—
846	#387	—	89	1	no	—
847	#387	—	89	1	no	—
848	#387	—	89	1	no	—
849	#387	—	89	1	no	—
850	#387	—	89	1	no	—
851	#387	—	89	1	no	—
852	#387	—	89	1	no	—
853	#387	—	89	1	no	—
854	#387	—	89	1	no	—
855	#387	—	89	1	no	—
856	#387	—	89	1	no	—
857	#387	—	89	1	no	—
858	#387	—	89	1	no	—
859	#387	—	89	1	no	—
860	#387	—	89	1	no	—
861	#387	—	89	1	no	—
862	#387	—	89	1	no	—
863	#387	—	89	1	no	—
864	#387	—	89	1	no	—
865	#387	—	89	1	no	—
866	#387	—	89	1	no	—
867	#387	—	89	1	no	—
868	#387	—	89	1	no	—
869	#387	—	89	1	no	—
870	#387	—	89	1	no	—
871	#387	—	89	1	no	—
872	#387	—	89	1	no	—
873	#387	—	89	1	no	—
874	#387	—	89	1	no	—
875	#387	—	89	1	no	—
876	#387	—	89	1	no	—
877	#387	—	89	1	no	—
878	#387	—	89	1	no	—
879	#387	—	89	1	no	—
880	#387	—	89	1	no	—
881	#387	—	89	1	no	—
882	#387	—	89	1	no	—
883	#387	C₂×D₈₉	1	1	yes	characteristic
884	#387	C₂×D₈₉	1	1	yes	characteristic
885	#387	C₂×D₈₉	1	1	yes	characteristic
886	#387	C₂×D₈₉	1	1	yes	characteristic
887	#387	C₂×D₈₉	1	1	yes	characteristic
888	#387	C₂×D₈₉	1	1	yes	characteristic
889	C₄×C₄⋊C₄	—	89	1	no	—
890	C₄×C₄⋊C₄	—	89	1	no	—
891	C₄×C₄⋊C₄	—	89	1	no	—
892	C₄×C₄⋊C₄	—	89	1	no	—
893	C₄×C₄⋊C₄	—	89	1	no	—
894	C₄×C₄⋊C₄	—	89	1	no	—
895	C₄×C₄⋊C₄	—	89	1	no	—
896	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
897	C₂×#95	—	89	1	no	—
898	C₂×#95	—	89	1	no	—
899	C₂×#95	—	89	1	no	—
900	C₂×#95	—	89	1	no	—
901	C₂×#95	—	89	1	no	—
902	C₂×#95	—	89	1	no	—
903	C₂×#95	—	89	1	no	—
904	C₂×#95	—	89	1	no	—
905	C₂×#95	—	89	1	no	—
906	C₂×#95	—	89	1	no	—
907	C₂×#95	—	89	1	no	—
908	C₂×#95	—	89	1	no	—
909	C₂×#95	—	89	1	no	—
910	C₂×#95	—	89	1	no	—
911	C₂²×Q₈	—	89	1	no	—
912	C₂²×Q₈	—	89	1	no	—
913	C₂²×Q₈	—	89	1	no	—
914	C₂²×Q₈	—	178	4	no	—
915	C₂²×Q₈	—	178	4	no	—
916	C₂²×Q₈	—	178	4	no	—
917	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
918	C₂³×C₄	—	89	1	no	—
919	C₂³×C₄	—	89	1	no	—
920	C₂³×C₄	—	89	1	no	—
921	C₂³×C₄	—	89	1	no	—
922	C₂³×C₄	—	89	1	no	—
923	C₂³×C₄	—	89	1	no	—
924	C₂³×C₄	—	89	1	no	—
925	C₂³×C₄	—	89	1	no	—
926	C₂³×C₄	—	89	1	no	—
927	C₂³×C₄	—	89	1	no	—
928	C₂³×C₄	—	89	1	no	—
929	C₂³×C₄	—	89	1	no	—
930	C₂³×C₄	—	89	1	no	—
931	C₂³×C₄	—	89	1	no	—
932	C₂³×C₄	—	89	1	no	—
933	#125	—	2	4	no	—
934	#125	—	178	4	no	—
935	#125	—	178	4	no	—
936	#125	—	178	4	no	—
937	#125	—	178	4	no	—
938	#125	—	178	4	no	—
939	#125	—	178	4	no	—
940	#125	—	178	4	no	—
941	C₄×Q₈	—	2	4	no	—
942	C₄×Q₈	—	178	4	no	—
943	C₄×Q₈	—	178	4	no	—
944	C₄×Q₈	—	178	4	no	—
945	C₄×Q₈	—	178	4	no	—
946	C₄×Q₈	—	178	4	no	—
947	C₄×Q₈	—	178	4	no	—
948	C₄×Q₈	—	178	4	no	—
949	C₂×C₄⋊C₄	—	89	1	no	—
950	C₂×C₄⋊C₄	—	89	1	no	—
951	C₂×C₄⋊C₄	—	89	1	no	—
952	C₂×C₄⋊C₄	—	89	1	no	—
953	C₂×C₄⋊C₄	—	89	1	no	—
954	C₂×C₄⋊C₄	—	89	1	no	—
955	C₂×C₄⋊C₄	—	89	8	no	—
956	C₂×C₄⋊C₄	—	89	8	no	—
957	C₂×C₄⋊C₄	—	89	1	no	—
958	C₂×C₄⋊C₄	—	89	1	no	—
959	C₂×C₄⋊C₄	—	89	1	no	—
960	C₂×C₄⋊C₄	—	89	1	no	—
961	C₂×C₄⋊C₄	—	89	1	no	—
962	C₂×C₄⋊C₄	—	89	1	no	—
963	C₂×C₄⋊C₄	—	89	1	no	—
964	C₂×C₄⋊C₄	—	89	1	no	—
965	C₂×C₄⋊C₄	—	89	1	no	—
966	C₂×C₄⋊C₄	—	89	1	no	—
967	C₂×C₄⋊C₄	—	89	1	no	—
968	C₂×C₄⋊C₄	—	89	1	no	—
969	C₂×C₄⋊C₄	—	89	1	no	—
970	C₂×C₄⋊C₄	—	89	1	no	—
971	C₂×C₄⋊C₄	—	89	1	no	—
972	C₂×C₄⋊C₄	—	89	1	no	—
973	C₂×C₄⋊C₄	—	89	1	no	—
974	C₂×C₄⋊C₄	—	89	1	no	—
975	C₂×C₄⋊C₄	—	89	1	no	—
976	C₂×C₄⋊C₄	—	89	1	no	—
977	C₂×C₄⋊C₄	—	89	1	no	—
978	C₂×C₄⋊C₄	—	89	1	no	—
979	C₂×C₄⋊C₄	—	89	1	no	—
980	C₂×C₄⋊C₄	—	89	1	no	—
981	C₂×C₄⋊C₄	—	89	1	no	—
982	C₂×C₄⋊C₄	—	89	1	no	—
983	C₂×C₄⋊C₄	—	89	1	no	—
984	C₂×C₄⋊C₄	—	89	1	no	—
985	C₂×C₄⋊C₄	—	89	1	no	—
986	C₂×C₄⋊C₄	—	89	1	no	—
987	C₂×C₄⋊C₄	—	89	1	no	—
988	C₂×C₄⋊C₄	—	89	1	no	—
989	C₂×C₄⋊C₄	—	89	1	no	—
990	C₂×C₄⋊C₄	—	89	1	no	—
991	C₂×C₄⋊C₄	—	89	1	no	—
992	C₂×C₄⋊C₄	—	89	1	no	—
993	C₂×C₄⋊C₄	—	89	1	no	—
994	C₂×C₄⋊C₄	—	89	1	no	—
995	C₂×C₄⋊C₄	—	89	1	no	—
996	C₂×C₄⋊C₄	—	178	4	no	—
997	C₂×C₄⋊C₄	—	178	4	no	—
998	C₂×C₄⋊C₄	—	178	4	no	—
999	C₂×C₄⋊C₄	—	178	4	no	—
1000	C₂×C₄⋊C₄	—	178	4	no	—
1001	C₂×C₄⋊C₄	—	178	4	no	—
1002	C₂×C₄⋊C₄	—	178	4	no	—
1003	C₂×C₄⋊C₄	—	178	4	no	—
1004	C₂×C₄⋊C₄	—	178	4	no	—
1005	C₂×C₄⋊C₄	—	178	4	no	—
1006	C₂×C₄⋊C₄	—	178	4	no	—
1007	C₂×C₄⋊C₄	—	178	4	no	—
1008	C₂×C₄⋊C₄	—	178	4	no	—
1009	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1024	C₂×C₄²	—	89	1	no	—
1025	C₂×C₄²	—	89	1	no	—
1026	C₂×C₄²	—	89	1	no	—
1027	C₂×C₄²	—	89	1	no	—
1028	C₂×C₄²	—	89	1	no	—
1029	C₂×C₄²	—	89	1	no	—
1030	C₂×C₄²	—	89	1	no	—
1031	C₂×C₄²	—	89	1	no	—
1032	C₂×C₄²	—	89	1	no	—
1033	C₂×C₄²	—	89	1	no	—
1034	C₂×C₄²	—	89	1	no	—
1035	C₂×C₄²	—	89	1	no	—
1036	C₂×C₄²	—	89	1	no	—
1037	C₂×C₄²	—	89	1	no	—
1038	C₂×C₄²	—	89	1	no	—
1039	C₂×C₄²	—	178	4	no	—
1040	C₂×C₄²	—	178	4	no	—
1041	C₂×C₄²	—	178	4	no	—
1042	C₂×C₄²	—	178	4	no	—
1043	C₂×C₄²	—	178	4	no	—
1044	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1045	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1046	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1047	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1048	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1049	#95	—	89	1	no	—
1050	#95	—	89	1	no	—
1051	#95	—	89	1	no	—
1052	#95	—	89	1	no	—
1053	#95	—	89	1	no	—
1054	#95	—	89	1	no	—
1055	#95	—	89	1	no	—
1056	#95	—	89	1	no	—
1057	#95	—	89	1	no	—
1058	#95	—	89	1	no	—
1059	#95	—	89	1	no	—
1060	#95	—	89	1	no	—
1061	#95	—	89	1	no	—
1062	#95	—	89	1	no	—
1063	#95	—	89	1	no	—
1064	#95	—	89	1	no	—
1065	#95	—	89	1	no	—
1066	#95	—	89	1	no	—
1067	#95	—	89	1	no	—
1068	#95	—	89	1	no	—
1069	#95	—	89	1	no	—
1070	#95	—	89	1	no	—
1071	#95	—	89	1	no	—
1072	#95	—	89	1	no	—
1073	#95	—	89	1	no	—
1074	#95	—	89	1	no	—
1075	#95	—	89	1	no	—
1076	#95	—	89	1	no	—
1077	#95	—	89	1	no	—
1078	#95	—	89	1	no	—
1079	#95	—	89	1	no	—
1080	#95	—	89	1	no	—
1081	#95	—	89	1	no	—
1082	#95	—	89	1	no	—
1083	#95	—	89	1	no	—
1084	#95	—	89	1	no	—
1085	#95	—	89	1	no	—
1086	#95	—	89	1	no	—
1087	#95	—	89	1	no	—
1088	#95	—	89	1	no	—
1089	#95	—	89	1	no	—
1090	#95	—	89	1	no	—
1091	#95	C₂²×D₈₉	1	1	yes	characteristic
1092	#95	C₂²×D₈₉	1	1	yes	characteristic
1093	#95	C₂²×D₈₉	1	1	yes	characteristic
1094	#95	C₂²×D₈₉	1	1	yes	characteristic
1095	#95	C₂²×D₈₉	1	1	yes	characteristic
1096	#95	C₂²×D₈₉	1	1	yes	characteristic
1097	#95	C₂²×D₈₉	1	1	yes	characteristic
1098	#95	C₂²×D₈₉	1	1	yes	characteristic
1099	#95	C₂²×D₈₉	1	1	yes	characteristic
1100	#95	C₂²×D₈₉	1	1	yes	characteristic
1101	#95	C₂²×D₈₉	1	1	yes	characteristic
1102	#95	C₂²×D₈₉	1	1	yes	characteristic
1103	#95	C₂²×D₈₉	1	1	yes	characteristic
1104	#95	C₂²×D₈₉	1	1	yes	characteristic
1105	C₂⁴	—	89	1	no	—
1106	C₂×Q₈	—	2	2	no	—
1107	C₂×Q₈	—	2	2	no	—
1108	C₂×Q₈	—	2	2	no	—
1109	C₂×Q₈	—	178	2	no	—
1110	C₂×Q₈	—	178	2	no	—
1111	C₂×Q₈	—	178	2	no	—
1112	C₂×Q₈	—	178	2	no	—
1113	C₂×Q₈	—	178	2	no	—
1114	C₂×Q₈	—	178	2	no	—
1115	C₂×Q₈	—	178	32	no	—
1116	C₂×Q₈	—	178	2	no	—
1117	C₂×Q₈	—	178	2	no	—
1118	C₂×Q₈	—	178	2	no	—
1119	C₂²×C₄	—	89	1	no	—
1120	C₂²×C₄	—	89	1	no	—
1121	C₂²×C₄	—	89	1	no	—
1122	C₂²×C₄	—	89	1	no	—
1123	C₂²×C₄	—	89	1	no	—
1124	C₂²×C₄	—	89	1	no	—
1125	C₂²×C₄	—	89	1	no	—
1126	C₂²×C₄	—	89	1	no	—
1127	C₂²×C₄	—	89	1	no	—
1128	C₂²×C₄	—	89	4	no	—
1129	C₂²×C₄	—	89	4	no	—
1130	C₂²×C₄	—	89	4	no	—
1131	C₂²×C₄	—	89	4	no	—
1132	C₂²×C₄	—	89	4	no	—
1133	C₂²×C₄	—	89	4	no	—
1134	C₂²×C₄	—	89	4	no	—
1135	C₂²×C₄	—	89	4	no	—
1136	C₂²×C₄	—	89	4	no	—
1137	C₂²×C₄	—	89	1	no	—
1138	C₂²×C₄	—	89	1	no	—
1139	C₂²×C₄	—	89	1	no	—
1140	C₂²×C₄	—	89	1	no	—
1141	C₂²×C₄	—	89	1	no	—
1142	C₂²×C₄	—	89	1	no	—
1143	C₂²×C₄	—	178	2	no	—
1144	C₂²×C₄	—	178	2	no	—
1145	C₂²×C₄	—	178	2	no	—
1146	C₂²×C₄	—	178	2	no	—
1147	C₂²×C₄	—	178	2	no	—
1148	C₂²×C₄	—	178	2	no	—
1149	C₂²×C₄	—	178	2	no	—
1150	C₂²×C₄	—	178	2	no	—
1151	C₂²×C₄	—	178	2	no	—
1152	C₂²×C₄	—	178	2	no	—
1153	C₂²×C₄	—	178	2	no	—
1154	C₂²×C₄	—	178	2	no	—
1155	C₂²×C₄	—	178	2	no	—
1156	C₂²×C₄	—	178	2	no	—
1157	C₂²×C₄	—	178	2	no	—
1158	C₂²×C₄	—	178	2	no	—
1159	C₂²×C₄	—	178	2	no	—
1160	C₂²×C₄	—	178	2	no	—
1161	C₂²×C₄	—	178	2	no	—
1162	C₂²×C₄	—	178	2	no	—
1163	C₂²×C₄	—	178	2	no	—
1164	C₂²×C₄	—	178	2	no	—
1165	C₂²×C₄	—	178	2	no	—
1166	C₂²×C₄	—	178	2	no	—
1167	C₂²×C₄	—	178	2	no	—
1168	C₂²×C₄	—	178	2	no	—
1169	C₂²×C₄	—	178	2	no	—
1170	C₂²×C₄	—	178	2	no	—
1171	C₂²×C₄	—	178	2	no	—
1172	C₂²×C₄	—	178	2	no	—
1173	C₂²×C₄	—	178	2	no	—
1174	C₂²×C₄	—	178	2	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	C₂³×D₈₉	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	2	2	no	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	2	2	no	—
1207	C₄⋊C₄	—	89	4	no	—
1208	C₄⋊C₄	—	89	4	no	—
1209	C₄⋊C₄	—	89	4	no	—
1210	C₄⋊C₄	—	89	4	no	—
1211	C₄⋊C₄	—	89	4	no	—
1212	C₄⋊C₄	—	89	4	no	—
1213	C₄⋊C₄	—	178	2	no	—
1214	C₄⋊C₄	—	178	2	no	—
1215	C₄⋊C₄	—	178	2	no	—
1216	C₄⋊C₄	—	178	2	no	—
1217	C₄⋊C₄	—	178	2	no	—
1218	C₄⋊C₄	—	178	2	no	—
1219	C₄⋊C₄	—	178	2	no	—
1220	C₄⋊C₄	—	178	2	no	—
1221	C₄⋊C₄	—	178	2	no	—
1222	C₄⋊C₄	—	178	2	no	—
1223	C₄⋊C₄	—	178	2	no	—
1224	C₄⋊C₄	—	178	2	no	—
1225	C₄⋊C₄	—	178	2	no	—
1226	C₄⋊C₄	—	178	2	no	—
1227	C₄⋊C₄	—	178	2	no	—
1228	C₄⋊C₄	—	178	2	no	—
1229	C₄⋊C₄	—	178	2	no	—
1230	C₄⋊C₄	—	178	2	no	—
1231	C₄⋊C₄	—	178	2	no	—
1232	C₄⋊C₄	—	178	2	no	—
1233	C₄⋊C₄	—	178	2	no	—
1234	C₄⋊C₄	—	178	2	no	—
1235	C₄⋊C₄	—	178	2	no	—
1236	C₄⋊C₄	—	178	2	no	—
1237	C₄⋊C₄	—	178	2	no	—
1238	C₄⋊C₄	—	178	2	no	—
1239	C₄⋊C₄	—	178	2	no	—
1240	C₄⋊C₄	—	178	2	no	—
1241	C₄⋊C₄	—	178	2	no	—
1242	C₄⋊C₄	—	178	2	no	—
1243	C₄⋊C₄	—	178	2	no	—
1244	C₄⋊C₄	—	178	2	no	—
1245	C₄⋊C₄	—	178	2	no	—
1246	C₄⋊C₄	—	178	2	no	—
1247	C₄⋊C₄	—	178	2	no	—
1248	C₄⋊C₄	—	178	2	no	—
1249	C₄⋊C₄	—	178	2	no	—
1250	C₄⋊C₄	—	178	2	no	—
1251	C₄⋊C₄	—	178	2	no	—
1252	C₄⋊C₄	D₄×D₈₉	1	4	yes	—
1253	C₄⋊C₄	Q₈×D₈₉	1	4	yes	complemented
1254	C₄²	—	2	2	no	—
1255	C₄²	—	2	2	no	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	2	2	no	—
1259	C₄²	—	178	2	no	—
1260	C₄²	—	178	2	no	—
1261	C₄²	—	178	2	no	—
1262	C₄²	—	178	2	no	—
1263	C₄²	—	178	2	no	—
1264	C₄²	—	178	2	no	—
1265	C₄²	—	178	2	no	—
1266	C₄²	—	178	2	no	—
1267	C₄²	—	178	2	no	—
1268	C₄²	—	178	2	no	—
1269	C₄²	—	178	2	no	—
1270	C₄²	—	178	2	no	—
1271	C₄²	—	178	2	no	—
1272	C₄²	—	178	2	no	—
1273	C₄²	—	178	2	no	—
1274	C₂³	—	89	2	no	—
1275	C₂³	—	89	2	no	—
1276	C₂³	—	89	2	no	—
1277	C₂³	—	89	2	no	—
1278	C₂³	—	89	2	no	—
1279	C₂³	—	89	2	no	—
1280	C₂³	—	89	2	no	—
1281	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1282	Q₈	—	2	8	no	—
1283	Q₈	—	178	8	no	—
1284	Q₈	—	178	8	no	—
1285	Q₈	—	178	8	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	89	2	no	—
1323	C₂×C₄	—	89	2	no	—
1324	C₂×C₄	—	89	2	no	—
1325	C₂×C₄	—	89	2	no	—
1326	C₂×C₄	—	89	2	no	—
1327	C₂×C₄	—	89	2	no	—
1328	C₂×C₄	—	89	2	no	—
1329	C₂×C₄	—	89	2	no	—
1330	C₂×C₄	—	89	2	no	—
1331	C₂×C₄	—	356	4	no	—
1332	C₂×C₄	—	356	4	no	—
1333	C₂×C₄	—	356	4	no	—
1334	C₂×C₄	—	356	4	no	—
1335	C₂×C₄	—	356	4	no	—
1336	C₂×C₄	—	356	4	no	—
1337	C₂×C₄	—	178	8	no	—
1338	C₂×C₄	—	178	8	no	—
1339	C₂×C₄	—	178	8	no	—
1340	C₂×C₄	—	178	8	no	—
1341	C₂×C₄	—	178	8	no	—
1342	C₂×C₄	—	178	8	no	—
1343	C₂×C₄	—	178	8	no	—
1344	C₂×C₄	—	178	8	no	—
1345	C₂×C₄	—	178	8	no	—
1346	C₂×C₄	—	178	1	no	—
1347	C₂×C₄	—	178	1	no	—
1348	C₂×C₄	—	178	1	no	—
1349	C₂×C₄	—	178	1	no	—
1350	C₂×C₄	—	178	1	no	—
1351	C₂×C₄	—	178	1	no	—
1352	C₂×C₄	—	178	1	no	—
1353	C₂×C₄	—	178	1	no	—
1354	C₂×C₄	—	178	1	no	—
1355	C₂×C₄	—	178	1	no	—
1356	C₂×C₄	—	178	1	no	—
1357	C₂×C₄	—	178	1	no	—
1358	C₂×C₄	—	178	1	no	—
1359	C₂×C₄	—	178	1	no	—
1360	C₂×C₄	—	178	1	no	—
1361	C₂×C₄	—	178	1	no	—
1362	C₂×C₄	—	178	1	no	—
1363	C₂×C₄	—	178	1	no	—
1364	C₂×C₄	—	178	1	no	—
1365	C₂×C₄	—	178	1	no	—
1366	C₂×C₄	—	178	1	no	—
1367	C₂×C₄	—	178	1	no	—
1368	C₂×C₄	—	178	1	no	—
1369	C₂×C₄	—	178	1	no	—
1370	C₂×C₄	—	178	1	no	—
1371	C₂×C₄	—	178	1	no	—
1372	C₂×C₄	—	178	1	no	—
1373	C₂×C₄	—	178	1	no	—
1374	C₂×C₄	—	178	1	no	—
1375	C₂×C₄	—	178	1	no	—
1376	C₂×C₄	—	178	1	no	—
1377	C₂×C₄	—	178	1	no	—
1378	C₂×C₄	—	178	1	no	—
1379	C₂×C₄	—	178	1	no	—
1380	C₂×C₄	—	178	1	no	—
1381	C₂×C₄	—	178	1	no	—
1382	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1383	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1384	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1385	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1387	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1388	C₂×C₄	#41×D₈₉	1	2	yes	—
1389	C₂×C₄	#41×D₈₉	1	2	yes	—
1390	C₂×C₄	#41×D₈₉	1	2	yes	—
1391	C₂²	—	89	4	no	—
1392	C₂²	—	89	4	no	—
1393	C₂²	—	89	4	no	—
1394	C₂²	—	89	4	no	—
1395	C₂²	—	89	4	no	—
1396	C₂²	—	89	4	no	—
1397	C₂²	—	89	4	no	—
1398	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1399	C₂²	C₂²×Q₈×D₈₉	1	1	yes	characteristic
1400	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1401	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1402	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1403	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1404	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1405	C₄	—	2	2	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	356	1	no	—
1421	C₄	—	356	1	no	—
1422	C₄	—	356	1	no	—
1423	C₄	—	356	1	no	—
1424	C₄	—	356	1	no	—
1425	C₄	—	356	1	no	—
1426	C₄	—	178	2	no	—
1427	C₄	—	178	2	no	—
1428	C₄	—	178	2	no	—
1429	C₄	—	178	2	no	—
1430	C₄	—	178	2	no	—
1431	C₄	—	178	2	no	—
1432	C₄	—	178	2	no	—
1433	C₄	—	178	2	no	—
1434	C₄	—	178	2	no	—
1435	C₂	—	89	8	no	—
1436	C₂	#525×D₈₉	1	1	yes	characteristic
1437	C₂	#533×D₈₉	1	1	yes	characteristic
1438	C₂	#541×D₈₉	1	1	yes	characteristic
1439	C₂	#547×D₈₉	1	1	yes	characteristic
1440	C₂	D₄×Q₈×D₈₉	1	1	yes	characteristic
1441	C₂	#552×D₈₉	1	1	yes	characteristic
1442	C₂	#557×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2462	C₂
prime radical	C₂³×D₈₉	C₂⁴
hypercenter	#2462	D₈₉
hypocenter	C₈₉	C₂×#2462
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2462

Complements

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

N	H ≅ G/N	type
3. #26024241	C₂	semidirect
4. #26024240	C₂	semidirect
5. #26024239	C₂	semidirect
6. #26024238	C₂	semidirect
7. #26024237	C₂	semidirect
8. #26024236	C₂	semidirect
9. #26024235	C₂	semidirect
10. #26024234	C₂	semidirect
11. #26024233	C₂	semidirect
12. #26024232	C₂	semidirect
13. #26024231	C₂	semidirect
14. #26024230	C₂	semidirect
15. #26024229	C₂	semidirect
16. #26024228	C₂	semidirect
17. #26024227	C₂	semidirect
31. C₈₉×#2462	C₂	semidirect
283. C₄⋊C₄×D₈₉	Q₈	semidirect
468. C₄⋊Dic₈₉	C₂×Q₈	semidirect
497. #13083553	C₂×Q₈	semidirect
498. #13083553	C₂×Q₈	semidirect
546. C₄⋊C₄×C₈₉	C₂×Q₈	semidirect
721. D₈₉	#2462	direct (N × H)
739. #2462	D₈₉	direct (N × H)
753. C₈₉	C₂×#2462	semidirect
1253. C₄⋊C₄	Q₈×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#125×D₈₉	2
C₂×C₄×Q₈×D₈₉	2
#26024241	2
#26024240	2
#26024239	2
#26024238	2
#26024237	2
#26024236	2
#26024235	2
#26024234	2
#26024233	2
#26024232	2
#26024231	2
#26024230	2
#26024229	2
#26024228	2
#26024227	2
#398×D₈₉	2
#395×D₈₉	2
#389×D₈₉	2
#387×D₈₉	2
C₄×C₄⋊C₄×D₈₉	2
C₈₉×#2462	2
C₂×#2462	89

Subgroups — #2462×D89 #36722412

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2462×D₈₉ #36722412