Subgroups — #2519×D₈₉ #36723507

Order 22784.

2466 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#126×D₈₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#125×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#26024932	C₂	1	1	yes	maximal, characteristic, complemented
4	#26024931	C₂	1	1	yes	maximal, characteristic, complemented
5	#26024930	C₂	1	1	yes	maximal, characteristic, complemented
6	#26024929	C₂	1	1	yes	maximal, characteristic, complemented
7	#26024928	C₂	1	1	yes	maximal, characteristic, complemented
8	#26024927	C₂	1	1	yes	maximal, characteristic, complemented
9	#26024926	C₂	1	1	yes	maximal, characteristic, complemented
10	#26024925	C₂	1	1	yes	maximal, characteristic, complemented
11	#26024924	C₂	1	1	yes	maximal, characteristic, complemented
12	#26024923	C₂	1	1	yes	maximal, characteristic, complemented
13	#26024922	C₂	1	1	yes	maximal, characteristic, complemented
14	#26024921	C₂	1	1	yes	maximal, characteristic, complemented
15	#26024920	C₂	1	1	yes	maximal, characteristic, complemented
16	#26024919	C₂	1	1	yes	maximal, characteristic, complemented
17	#26024918	C₂	1	1	yes	maximal, characteristic, complemented
18	#399×D₈₉	C₂	1	1	yes	maximal, characteristic
19	#398×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#398×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#396×D₈₉	C₂	1	1	yes	maximal, characteristic
22	#389×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
24	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
25	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
26	#388×D₈₉	C₂	1	1	yes	maximal, characteristic
27	#387×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#382×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₄⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₄⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2519	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#15668007	C₂²	1	1	yes	characteristic
33	C₂×#15668007	C₂²	1	1	yes	characteristic
34	C₂×#15668007	C₂²	1	1	yes	characteristic
35	C₂×#15668006	C₂²	1	1	yes	characteristic
36	C₂×#15668005	C₂²	1	1	yes	characteristic
37	C₂×#15668005	C₂²	1	1	yes	characteristic
38	C₂×#15668005	C₂²	1	1	yes	characteristic
39	#126×D₈₉	—	2	8	no	—
40	C₂×#15668004	C₂²	1	1	yes	characteristic, complemented
41	C₂×#15668003	C₂²	1	1	yes	characteristic, complemented
42	C₂×#15668003	C₂²	1	1	yes	characteristic, complemented
43	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
44	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
45	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
46	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
47	#125×D₈₉	—	2	8	no	—
48	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
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×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
62	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
67	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
69	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
70	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
71	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
72	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
73	#19151535	C₂²	1	1	yes	characteristic
74	#19151534	C₂²	1	1	yes	characteristic
75	#19151534	C₂²	1	1	yes	characteristic
76	#19151534	C₂²	1	1	yes	characteristic
77	#19151533	C₂²	1	1	yes	characteristic
78	#19151533	C₂²	1	1	yes	characteristic
79	#19151533	C₂²	1	1	yes	characteristic
80	#19151532	C₂²	1	1	yes	characteristic, complemented
81	#19151532	C₂²	1	1	yes	characteristic, complemented
82	#19151532	C₂²	1	1	yes	characteristic, complemented
83	#19151532	C₂²	1	1	yes	characteristic, complemented
84	#19151531	C₂²	1	1	yes	characteristic, complemented
85	#19151531	C₂²	1	1	yes	characteristic, complemented
86	#19151531	C₂²	1	1	yes	characteristic, complemented
87	#19151531	C₂²	1	1	yes	characteristic, complemented
88	#19151530	C₂²	1	1	yes	characteristic, complemented
89	#19151530	C₂²	1	1	yes	characteristic, complemented
90	#19151529	C₂²	1	1	yes	characteristic, complemented
91	#19151529	C₂²	1	1	yes	characteristic, complemented
92	#19151528	C₂²	1	1	yes	characteristic, complemented
93	#19151528	C₂²	1	1	yes	characteristic, complemented
94	#19151522	C₂²	1	1	yes	characteristic
95	#19151521	C₂²	1	1	yes	characteristic
96	#19151521	C₂²	1	1	yes	characteristic
97	#19151521	C₂²	1	1	yes	characteristic
98	#19151520	C₂²	1	1	yes	characteristic
99	#19151520	C₂²	1	1	yes	characteristic
100	#19151520	C₂²	1	1	yes	characteristic
101	#19151497	C₂²	1	1	yes	characteristic, complemented
102	#19151496	C₂²	1	1	yes	characteristic, complemented
103	#19151495	C₂²	1	1	yes	characteristic, complemented
104	#19151495	C₂²	1	1	yes	characteristic, complemented
105	#19151494	C₂²	1	1	yes	characteristic, complemented
106	#19151493	C₂²	1	1	yes	characteristic, complemented
107	#19151493	C₂²	1	1	yes	characteristic, complemented
108	#19151492	C₂²	1	1	yes	characteristic
109	#19151492	C₂²	1	1	yes	characteristic
110	#19151492	C₂²	1	1	yes	characteristic
111	#19151492	C₂²	1	1	yes	characteristic
112	#19151491	C₂²	1	1	yes	characteristic
113	#19151491	C₂²	1	1	yes	characteristic
114	#19151491	C₂²	1	1	yes	characteristic
115	#19151491	C₂²	1	1	yes	characteristic
116	#19151490	C₂²	1	1	yes	characteristic
117	#19151490	C₂²	1	1	yes	characteristic
118	#19151490	C₂²	1	1	yes	characteristic
119	#19151490	C₂²	1	1	yes	characteristic
120	#19151489	C₂²	1	1	yes	characteristic
121	#19151489	C₂²	1	1	yes	characteristic
122	#19151489	C₂²	1	1	yes	characteristic
123	#19151489	C₂²	1	1	yes	characteristic
124	#19151488	C₂²	1	1	yes	characteristic
125	#19151488	C₂²	1	1	yes	characteristic
126	#19151488	C₂²	1	1	yes	characteristic
127	#19151488	C₂²	1	1	yes	characteristic
128	#19151487	C₂²	1	1	yes	characteristic
129	#19151487	C₂²	1	1	yes	characteristic
130	#19151487	C₂²	1	1	yes	characteristic
131	#19151487	C₂²	1	1	yes	characteristic
132	#19151486	C₂²	1	1	yes	characteristic
133	#19151486	C₂²	1	1	yes	characteristic
134	#19151486	C₂²	1	1	yes	characteristic
135	#19151486	C₂²	1	1	yes	characteristic
136	#19151485	C₂²	1	1	yes	characteristic, complemented
137	#19151484	C₂²	1	1	yes	characteristic, complemented
138	#19151483	C₂²	1	1	yes	characteristic, complemented
139	#19151482	C₂²	1	1	yes	characteristic, complemented
140	#19151481	C₂²	1	1	yes	characteristic, complemented
141	#19151480	C₂²	1	1	yes	characteristic, complemented
142	#19151479	C₂²	1	1	yes	characteristic, complemented
143	#19151464	C₂²	1	1	yes	characteristic, complemented
144	#19151463	C₂²	1	1	yes	characteristic, complemented
145	#19151463	C₂²	1	1	yes	characteristic, complemented
146	#19151462	C₂²	1	1	yes	characteristic, complemented
147	#19151462	C₂²	1	1	yes	characteristic, complemented
148	#19151462	C₂²	1	1	yes	characteristic, complemented
149	#19151462	C₂²	1	1	yes	characteristic, complemented
150	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
151	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
152	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
153	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
154	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
155	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
156	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
157	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
160	#19151449	C₂²	1	1	yes	characteristic, complemented
161	#19151449	C₂²	1	1	yes	characteristic, complemented
162	#19151449	C₂²	1	1	yes	characteristic, complemented
163	#19151449	C₂²	1	1	yes	characteristic, complemented
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×#126×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#399×C₈₉	C₂²	1	1	yes	characteristic
177	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#396×C₈₉	C₂²	1	1	yes	characteristic
180	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#388×C₈₉	C₂²	1	1	yes	characteristic
182	#388×C₈₉	C₂²	1	1	yes	characteristic
183	#388×C₈₉	C₂²	1	1	yes	characteristic
184	#388×C₈₉	C₂²	1	1	yes	characteristic
185	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#382×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
200	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	#15668007	—	2	4	no	—
205	#15668007	—	2	4	no	—
206	#15668007	—	2	4	no	—
207	#15668006	—	2	4	no	—
208	#15668005	—	2	4	no	—
209	#15668005	—	2	4	no	—
210	#15668005	—	2	4	no	—
211	#15668004	—	2	4	no	—
212	#15668003	—	2	4	no	—
213	#15668003	—	2	4	no	—
214	#15668002	—	2	4	no	—
215	#15668002	—	2	4	no	—
216	#15668002	—	2	4	no	—
217	#15668002	—	2	4	no	—
218	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×#13083553	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	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	C₄⋊C₄×D₈₉	—	2	4	no	—
258	C₄⋊C₄×D₈₉	—	2	4	no	—
259	C₄⋊C₄×D₈₉	—	2	4	no	—
260	C₄⋊C₄×D₈₉	—	2	4	no	—
261	C₄⋊C₄×D₈₉	—	2	4	no	—
262	C₄⋊C₄×D₈₉	—	2	4	no	—
263	C₄⋊C₄×D₈₉	—	2	4	no	—
264	C₄⋊C₄×D₈₉	—	2	4	no	—
265	C₄⋊C₄×D₈₉	—	2	4	no	—
266	C₄⋊C₄×D₈₉	—	2	4	no	—
267	C₄⋊C₄×D₈₉	—	2	4	no	—
268	C₄⋊C₄×D₈₉	—	2	4	no	—
269	C₄⋊C₄×D₈₉	D₄	1	8	yes	—
270	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂×#13083551	C₂³	1	1	yes	characteristic
286	C₂×#13083551	C₂³	1	1	yes	characteristic
287	C₂×#13083551	C₂³	1	1	yes	characteristic
288	C₂×#13083551	C₂³	1	1	yes	characteristic
289	C₂×#13083551	C₂³	1	1	yes	characteristic
290	C₂×#13083551	C₂³	1	1	yes	characteristic
291	C₂²⋊C₄×D₈₉	—	2	4	no	—
292	C₂²⋊C₄×D₈₉	—	2	4	no	—
293	C₂²⋊C₄×D₈₉	—	2	4	no	—
294	C₂²⋊C₄×D₈₉	—	2	4	no	—
295	C₂²⋊C₄×D₈₉	—	2	4	no	—
296	C₂²⋊C₄×D₈₉	—	2	4	no	—
297	C₂²⋊C₄×D₈₉	—	2	4	no	—
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	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
313	C₄²×D₈₉	—	2	4	no	—
314	C₄²×D₈₉	—	2	4	no	—
315	C₄²×D₈₉	—	2	4	no	—
316	C₄²×D₈₉	—	2	4	no	—
317	C₄²×D₈₉	—	2	4	no	—
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	#15667919	C₂³	1	1	yes	characteristic
347	#15667919	C₂³	1	1	yes	characteristic
348	#126×C₈₉	—	2	4	no	—
349	#125×C₈₉	—	2	4	no	—
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
371	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
372	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
373	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
374	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
384	#95×C₈₉	C₂³	1	1	yes	characteristic
385	C₂³×D₈₉	—	2	2	no	—
386	C₂³×D₈₉	—	2	2	no	—
387	C₂³×D₈₉	—	2	2	no	—
388	C₂³×D₈₉	—	2	2	no	—
389	C₂³×D₈₉	—	2	2	no	—
390	C₂³×D₈₉	—	2	2	no	—
391	C₂³×D₈₉	—	2	2	no	—
392	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
393	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₈₉	—	2	2	no	—
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	C₂×D₄	1	4	yes	—
444	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
445	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
446	C₂×C₄×D₈₉	#41	1	4	yes	—
447	C₂×C₄×D₈₉	#41	1	4	yes	—
448	C₂×C₄×D₈₉	#41	1	4	yes	—
449	C₂×C₄×D₈₉	#41	1	4	yes	—
450	C₄⋊Dic₈₉	—	2	2	no	—
451	C₄⋊Dic₈₉	—	2	2	no	—
452	C₄⋊Dic₈₉	—	2	2	no	—
453	C₄⋊Dic₈₉	—	2	2	no	—
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	C₂×D₄	1	4	yes	—
463	#13083553	—	2	2	no	—
464	#13083553	—	2	2	no	—
465	#13083553	—	2	2	no	—
466	#13083553	—	2	2	no	—
467	#13083553	—	2	2	no	—
468	#13083553	—	2	2	no	—
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	C₂×D₄	1	4	yes	—
488	#13083553	C₂×D₄	1	4	yes	—
489	C₂²⋊Dic₈₉	—	2	2	no	—
490	C₂²⋊Dic₈₉	—	2	2	no	—
491	C₂²⋊Dic₈₉	—	2	2	no	—
492	C₂²⋊Dic₈₉	—	2	2	no	—
493	C₂²⋊Dic₈₉	—	2	2	no	—
494	C₂²⋊Dic₈₉	—	2	2	no	—
495	C₂²⋊Dic₈₉	—	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	—	2	2	no	—
504	#13083551	—	2	2	no	—
505	#13083551	—	2	2	no	—
506	#13083551	—	2	2	no	—
507	#13083551	—	2	2	no	—
508	#13083551	—	2	2	no	—
509	#13083551	—	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	C₄×Dic₈₉	—	2	2	no	—
515	C₄×Dic₈₉	—	2	2	no	—
516	C₄×Dic₈₉	—	2	2	no	—
517	C₄×Dic₈₉	—	2	2	no	—
518	C₄×Dic₈₉	—	2	2	no	—
519	C₄×Dic₈₉	—	2	2	no	—
520	C₄×Dic₈₉	—	2	2	no	—
521	C₄×Dic₈₉	—	2	2	no	—
522	C₄×Dic₈₉	—	2	2	no	—
523	C₄×Dic₈₉	—	2	2	no	—
524	C₄×Dic₈₉	—	2	2	no	—
525	C₂⁴×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	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
546	C₄⋊C₄×C₈₉	—	2	2	no	—
547	C₄⋊C₄×C₈₉	—	2	2	no	—
548	C₄⋊C₄×C₈₉	—	2	2	no	—
549	C₄⋊C₄×C₈₉	—	2	2	no	—
550	C₄⋊C₄×C₈₉	—	2	2	no	—
551	C₄⋊C₄×C₈₉	—	2	2	no	—
552	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
553	C₂²⋊C₄×C₈₉	—	2	2	no	—
554	C₂²⋊C₄×C₈₉	—	2	2	no	—
555	C₂²⋊C₄×C₈₉	—	2	2	no	—
556	C₂²⋊C₄×C₈₉	—	2	2	no	—
557	C₂²⋊C₄×C₈₉	—	2	2	no	—
558	C₂²⋊C₄×C₈₉	—	2	2	no	—
559	C₂²⋊C₄×C₈₉	—	2	2	no	—
560	C₄²×C₈₉	—	2	2	no	—
561	C₄²×C₈₉	—	2	2	no	—
562	C₄²×C₈₉	—	2	2	no	—
563	C₄²×C₈₉	—	2	2	no	—
564	C₄²×C₈₉	—	2	2	no	—
565	C₂³×C₈₉	—	2	1	no	—
566	C₂³×C₈₉	—	2	1	no	—
567	C₂³×C₈₉	—	2	1	no	—
568	C₂³×C₈₉	—	2	1	no	—
569	C₂³×C₈₉	—	2	1	no	—
570	C₂³×C₈₉	—	2	1	no	—
571	C₂³×C₈₉	—	2	1	no	—
572	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
573	C₂²×D₈₉	—	2	1	no	—
574	C₂²×D₈₉	—	2	1	no	—
575	C₂²×D₈₉	—	2	1	no	—
576	C₂²×D₈₉	—	2	1	no	—
577	C₂²×D₈₉	—	2	1	no	—
578	C₂²×D₈₉	—	2	1	no	—
579	C₂²×D₈₉	—	2	1	no	—
580	C₂²×D₈₉	—	4	4	no	—
581	C₂²×D₈₉	—	4	4	no	—
582	C₂²×D₈₉	—	4	4	no	—
583	C₂²×D₈₉	—	4	4	no	—
584	C₂²×D₈₉	—	4	4	no	—
585	C₂²×D₈₉	—	4	4	no	—
586	C₂²×D₈₉	—	4	4	no	—
587	C₂²×D₈₉	C₂²×D₄	1	2	yes	—
588	C₂²×D₈₉	C₂×#41	1	2	yes	—
589	C₂²×D₈₉	C₂×#41	1	2	yes	—
590	C₂²×D₈₉	C₂×#41	1	2	yes	—
591	C₂²×D₈₉	C₂×#41	1	2	yes	—
592	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
593	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
598	C₂×C₄×C₈₉	—	2	1	no	—
599	C₂×C₄×C₈₉	—	2	1	no	—
600	C₂×C₄×C₈₉	—	2	1	no	—
601	C₂×C₄×C₈₉	—	2	1	no	—
602	C₂×C₄×C₈₉	—	2	1	no	—
603	C₂×C₄×C₈₉	—	2	1	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	2	1	no	—
612	C₂×C₄×C₈₉	—	2	1	no	—
613	C₂×C₄×C₈₉	—	2	1	no	—
614	C₂×C₄×C₈₉	—	2	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
630	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
631	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
632	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
633	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
634	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
635	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
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	—	2	1	no	—
643	C₂×Dic₈₉	—	2	1	no	—
644	C₂×Dic₈₉	—	2	1	no	—
645	C₂×Dic₈₉	—	2	1	no	—
646	C₂×Dic₈₉	—	2	1	no	—
647	C₂×Dic₈₉	—	2	1	no	—
648	C₂×Dic₈₉	—	2	1	no	—
649	C₂×Dic₈₉	—	2	1	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	2	1	no	—
660	C₂×Dic₈₉	—	2	1	no	—
661	C₂×Dic₈₉	—	2	1	no	—
662	C₂×Dic₈₉	—	2	1	no	—
663	C₂×Dic₈₉	—	2	1	no	—
664	C₂×Dic₈₉	—	2	1	no	—
665	C₂×Dic₈₉	—	2	1	no	—
666	C₂×Dic₈₉	—	2	1	no	—
667	C₂×Dic₈₉	—	2	1	no	—
668	C₂×Dic₈₉	—	2	1	no	—
669	C₂×Dic₈₉	—	2	1	no	—
670	C₂×Dic₈₉	—	2	1	no	—
671	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
672	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
673	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
674	C₂×Dic₈₉	C₂×#41	1	2	yes	—
675	C₂×Dic₈₉	C₂×#41	1	2	yes	—
676	C₂×Dic₈₉	C₂×#41	1	2	yes	—
677	C₂×Dic₈₉	C₂×#41	1	2	yes	—
678	C₄×D₈₉	—	2	8	no	—
679	C₄×D₈₉	—	2	8	no	—
680	C₄×D₈₉	—	2	8	no	—
681	C₄×D₈₉	—	2	8	no	—
682	C₄×D₈₉	—	2	8	no	—
683	C₄×D₈₉	—	2	8	no	—
684	C₄×D₈₉	—	2	8	no	—
685	C₄×D₈₉	—	4	4	no	—
686	C₄×D₈₉	—	4	4	no	—
687	C₄×D₈₉	—	4	4	no	—
688	C₄×D₈₉	—	4	4	no	—
689	C₄×D₈₉	—	4	4	no	—
690	C₄×D₈₉	—	4	4	no	—
691	C₄×D₈₉	—	4	4	no	—
692	C₂²×C₈₉	—	4	1	no	—
693	C₂²×C₈₉	—	4	1	no	—
694	C₂²×C₈₉	—	4	1	no	—
695	C₂²×C₈₉	—	4	1	no	—
696	C₂²×C₈₉	—	4	1	no	—
697	C₂²×C₈₉	—	4	1	no	—
698	C₂²×C₈₉	—	4	1	no	—
699	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
700	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
701	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
702	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
703	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
704	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
705	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
706	C₂×D₈₉	—	4	1	no	—
707	C₂×D₈₉	—	4	1	no	—
708	C₂×D₈₉	—	4	1	no	—
709	C₂×D₈₉	—	4	1	no	—
710	C₂×D₈₉	—	4	1	no	—
711	C₂×D₈₉	—	4	1	no	—
712	C₂×D₈₉	—	4	1	no	—
713	C₂×D₈₉	—	8	8	no	—
714	C₂×D₈₉	#529	1	4	yes	—
715	C₂×D₈₉	#532	1	4	yes	—
716	C₂×D₈₉	#541	1	4	yes	—
717	C₂×D₈₉	#547	1	4	yes	—
718	C₂×D₈₉	#548	1	4	yes	—
719	C₂×D₈₉	#552	1	4	yes	—
720	C₂×D₈₉	#552	1	4	yes	—
721	C₄×C₈₉	—	2	2	no	—
722	C₄×C₈₉	—	2	2	no	—
723	C₄×C₈₉	—	2	2	no	—
724	C₄×C₈₉	—	2	2	no	—
725	C₄×C₈₉	—	2	2	no	—
726	C₄×C₈₉	—	2	2	no	—
727	C₄×C₈₉	—	2	2	no	—
728	C₄×C₈₉	—	4	1	no	—
729	C₄×C₈₉	—	4	1	no	—
730	C₄×C₈₉	—	4	1	no	—
731	C₄×C₈₉	—	4	1	no	—
732	C₄×C₈₉	—	4	1	no	—
733	C₄×C₈₉	—	4	1	no	—
734	C₄×C₈₉	—	4	1	no	—
735	Dic₈₉	—	2	2	no	—
736	Dic₈₉	—	2	2	no	—
737	Dic₈₉	—	2	2	no	—
738	Dic₈₉	—	2	2	no	—
739	Dic₈₉	—	2	2	no	—
740	Dic₈₉	—	2	2	no	—
741	Dic₈₉	—	2	2	no	—
742	Dic₈₉	—	4	1	no	—
743	Dic₈₉	—	4	1	no	—
744	Dic₈₉	—	4	1	no	—
745	Dic₈₉	—	4	1	no	—
746	Dic₈₉	—	4	1	no	—
747	Dic₈₉	—	4	1	no	—
748	Dic₈₉	—	4	1	no	—
749	C₂×#2519	—	89	1	no	maximal, Sylow
750	C₂×C₈₉	—	8	1	no	—
751	C₂×C₈₉	C₂×#529	1	1	yes	characteristic
752	C₂×C₈₉	C₂×#532	1	1	yes	characteristic
753	C₂×C₈₉	C₂×#541	1	1	yes	characteristic
754	C₂×C₈₉	C₂×#547	1	1	yes	characteristic
755	C₂×C₈₉	C₂×#548	1	1	yes	characteristic
756	C₂×C₈₉	C₂×#552	1	1	yes	characteristic
757	C₂×C₈₉	C₂×#552	1	1	yes	characteristic
758	D₈₉	—	8	1	no	—
759	D₈₉	#2519	1	8	yes	direct product factor
760	C₂²×#126	—	89	1	no	—
761	C₂²×#125	—	89	1	no	—
762	#2519	—	89	1	no	—
763	#2519	—	89	1	no	—
764	#2519	—	89	1	no	—
765	#2519	—	89	1	no	—
766	#2519	—	89	1	no	—
767	#2519	—	89	1	no	—
768	#2519	—	89	1	no	—
769	#2519	—	89	1	no	—
770	#2519	—	89	1	no	—
771	#2519	—	89	1	no	—
772	#2519	—	89	1	no	—
773	#2519	—	89	1	no	—
774	#2519	—	89	1	no	—
775	#2519	—	89	1	no	—
776	#2519	—	89	1	no	—
777	#2519	D₈₉	1	1	yes	characteristic, direct product factor
778	C₂×#399	—	89	1	no	—
779	C₂×#398	—	89	1	no	—
780	C₂×#398	—	89	1	no	—
781	C₂×#396	—	89	1	no	—
782	C₂×#389	—	89	1	no	—
783	C₂×#388	—	89	1	no	—
784	C₂×#388	—	89	1	no	—
785	C₂×#388	—	89	1	no	—
786	C₂×#388	—	89	1	no	—
787	C₂×#387	—	89	1	no	—
788	C₂×#382	—	89	1	no	—
789	C₂×C₄×C₄⋊C₄	—	89	1	no	—
790	C₂×C₄×C₄⋊C₄	—	89	1	no	—
791	C₈₉	C₂×#2519	1	1	yes	characteristic, complemented, Sylow
792	C₂×#126	—	89	1	no	—
793	C₂×#126	—	89	1	no	—
794	C₂×#126	—	89	1	no	—
795	C₂×#126	—	89	1	no	—
796	C₂×#126	—	89	1	no	—
797	C₂×#126	—	89	1	no	—
798	C₂×#126	—	89	1	no	—
799	C₂×#126	—	178	8	no	—
800	C₂×#126	C₂×D₈₉	1	1	yes	characteristic
801	C₂×#125	—	89	1	no	—
802	C₂×#125	—	89	1	no	—
803	C₂×#125	—	89	1	no	—
804	C₂×#125	—	89	1	no	—
805	C₂×#125	—	89	1	no	—
806	C₂×#125	—	89	1	no	—
807	C₂×#125	—	89	1	no	—
808	C₂×#125	—	178	8	no	—
809	C₂×#125	C₂×D₈₉	1	1	yes	characteristic, complemented
810	C₂²×C₄⋊C₄	—	89	1	no	—
811	C₂²×C₄⋊C₄	—	89	1	no	—
812	C₂²×C₄⋊C₄	—	89	1	no	—
813	C₂²×C₄⋊C₄	—	89	1	no	—
814	C₂²×C₄⋊C₄	—	89	1	no	—
815	C₂²×C₄⋊C₄	—	89	1	no	—
816	C₂²×C₄⋊C₄	—	89	1	no	—
817	C₂²×C₄⋊C₄	—	89	1	no	—
818	C₂²×C₄⋊C₄	—	89	1	no	—
819	C₂²×C₄⋊C₄	—	89	1	no	—
820	C₂²×C₄⋊C₄	—	89	1	no	—
821	C₂²×C₄⋊C₄	—	89	1	no	—
822	C₂²×C₄⋊C₄	—	89	1	no	—
823	C₂²×C₂²⋊C₄	—	89	1	no	—
824	C₂²×C₂²⋊C₄	—	89	1	no	—
825	C₂²×C₂²⋊C₄	—	89	1	no	—
826	C₂²×C₂²⋊C₄	—	89	1	no	—
827	C₂²×C₂²⋊C₄	—	89	1	no	—
828	C₂²×C₂²⋊C₄	—	89	1	no	—
829	C₂²×C₂²⋊C₄	—	89	1	no	—
830	C₂²×C₄²	—	89	1	no	—
831	C₂²×C₄²	—	89	1	no	—
832	C₂²×C₄²	—	89	1	no	—
833	C₂²×C₄²	—	89	1	no	—
834	C₂²×C₄²	—	89	1	no	—
835	#399	—	89	1	no	—
836	#399	—	89	1	no	—
837	#399	—	89	1	no	—
838	#399	—	89	1	no	—
839	#399	—	89	1	no	—
840	#399	—	89	1	no	—
841	#399	—	89	1	no	—
842	#399	C₂×D₈₉	1	1	yes	characteristic
843	#398	—	89	1	no	—
844	#398	—	89	1	no	—
845	#398	—	89	1	no	—
846	#398	—	89	1	no	—
847	#398	—	89	1	no	—
848	#398	—	89	1	no	—
849	#398	—	89	1	no	—
850	#398	—	89	1	no	—
851	#398	—	89	1	no	—
852	#398	—	89	1	no	—
853	#398	—	89	1	no	—
854	#398	—	89	1	no	—
855	#398	—	89	1	no	—
856	#398	—	89	1	no	—
857	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
858	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
859	#396	—	89	1	no	—
860	#396	—	89	1	no	—
861	#396	—	89	1	no	—
862	#396	—	89	1	no	—
863	#396	—	89	1	no	—
864	#396	—	89	1	no	—
865	#396	—	89	1	no	—
866	#396	C₂×D₈₉	1	1	yes	characteristic
867	#389	—	89	1	no	—
868	#389	—	89	1	no	—
869	#389	—	89	1	no	—
870	#389	—	89	1	no	—
871	#389	—	89	1	no	—
872	#389	—	89	1	no	—
873	#389	—	89	1	no	—
874	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
875	#388	—	89	1	no	—
876	#388	—	89	1	no	—
877	#388	—	89	1	no	—
878	#388	—	89	1	no	—
879	#388	—	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	—	89	1	no	—
901	#388	—	89	1	no	—
902	#388	—	89	1	no	—
903	#388	C₂×D₈₉	1	1	yes	characteristic
904	#388	C₂×D₈₉	1	1	yes	characteristic
905	#388	C₂×D₈₉	1	1	yes	characteristic
906	#388	C₂×D₈₉	1	1	yes	characteristic
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	C₂×D₈₉	1	1	yes	characteristic, complemented
915	#382	—	89	1	no	—
916	#382	—	89	1	no	—
917	#382	—	89	1	no	—
918	#382	—	89	1	no	—
919	#382	—	89	1	no	—
920	#382	—	89	1	no	—
921	#382	—	89	1	no	—
922	#382	C₂×D₈₉	1	1	yes	characteristic, complemented
923	C₄×C₄⋊C₄	—	89	1	no	—
924	C₄×C₄⋊C₄	—	89	1	no	—
925	C₄×C₄⋊C₄	—	89	1	no	—
926	C₄×C₄⋊C₄	—	89	1	no	—
927	C₄×C₄⋊C₄	—	89	1	no	—
928	C₄×C₄⋊C₄	—	89	1	no	—
929	C₄×C₄⋊C₄	—	89	1	no	—
930	C₄×C₄⋊C₄	—	89	1	no	—
931	C₄×C₄⋊C₄	—	89	1	no	—
932	C₄×C₄⋊C₄	—	89	1	no	—
933	C₄×C₄⋊C₄	—	89	1	no	—
934	C₄×C₄⋊C₄	—	89	1	no	—
935	C₄×C₄⋊C₄	—	89	1	no	—
936	C₄×C₄⋊C₄	—	89	1	no	—
937	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
938	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
939	C₂×#95	—	89	1	no	—
940	C₂×#95	—	89	1	no	—
941	C₂×#95	—	89	1	no	—
942	C₂×#95	—	89	1	no	—
943	C₂×#95	—	89	1	no	—
944	C₂×#95	—	89	1	no	—
945	C₂×#95	—	89	1	no	—
946	C₂×#95	—	89	1	no	—
947	C₂×#95	—	89	1	no	—
948	C₂×#95	—	89	1	no	—
949	C₂⁵	—	89	1	no	—
950	C₂³×C₄	—	89	1	no	—
951	C₂³×C₄	—	89	1	no	—
952	C₂³×C₄	—	89	1	no	—
953	C₂³×C₄	—	89	1	no	—
954	C₂³×C₄	—	89	1	no	—
955	C₂³×C₄	—	89	1	no	—
956	C₂³×C₄	—	89	1	no	—
957	C₂³×C₄	—	89	1	no	—
958	C₂³×C₄	—	89	1	no	—
959	C₂³×C₄	—	89	1	no	—
960	C₂³×C₄	—	89	1	no	—
961	C₂³×C₄	—	89	1	no	—
962	C₂³×C₄	—	89	1	no	—
963	C₂³×C₄	—	89	1	no	—
964	#126	—	2	4	no	—
965	#126	—	178	4	no	—
966	#126	—	178	4	no	—
967	#126	—	178	4	no	—
968	#126	—	178	4	no	—
969	#126	—	178	4	no	—
970	#126	—	178	4	no	—
971	#126	—	178	4	no	—
972	#125	—	2	4	no	—
973	#125	—	178	4	no	—
974	#125	—	178	4	no	—
975	#125	—	178	4	no	—
976	#125	—	178	4	no	—
977	#125	—	178	4	no	—
978	#125	—	178	4	no	—
979	#125	—	178	4	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	8	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	—	89	1	no	—
997	C₂×C₄⋊C₄	—	89	1	no	—
998	C₂×C₄⋊C₄	—	89	1	no	—
999	C₂×C₄⋊C₄	—	89	1	no	—
1000	C₂×C₄⋊C₄	—	89	1	no	—
1001	C₂×C₄⋊C₄	—	89	1	no	—
1002	C₂×C₄⋊C₄	—	89	1	no	—
1003	C₂×C₄⋊C₄	—	89	1	no	—
1004	C₂×C₄⋊C₄	—	89	1	no	—
1005	C₂×C₄⋊C₄	—	89	1	no	—
1006	C₂×C₄⋊C₄	—	89	1	no	—
1007	C₂×C₄⋊C₄	—	89	1	no	—
1008	C₂×C₄⋊C₄	—	89	1	no	—
1009	C₂×C₄⋊C₄	—	89	1	no	—
1010	C₂×C₄⋊C₄	—	89	1	no	—
1011	C₂×C₄⋊C₄	—	89	1	no	—
1012	C₂×C₄⋊C₄	—	89	1	no	—
1013	C₂×C₄⋊C₄	—	89	1	no	—
1014	C₂×C₄⋊C₄	—	89	1	no	—
1015	C₂×C₄⋊C₄	—	89	1	no	—
1016	C₂×C₄⋊C₄	—	89	1	no	—
1017	C₂×C₄⋊C₄	—	89	1	no	—
1018	C₂×C₄⋊C₄	—	89	1	no	—
1019	C₂×C₄⋊C₄	—	89	1	no	—
1020	C₂×C₄⋊C₄	—	178	4	no	—
1021	C₂×C₄⋊C₄	—	178	4	no	—
1022	C₂×C₄⋊C₄	—	178	4	no	—
1023	C₂×C₄⋊C₄	—	178	4	no	—
1024	C₂×C₄⋊C₄	—	178	4	no	—
1025	C₂×C₄⋊C₄	—	178	4	no	—
1026	C₂×C₄⋊C₄	—	178	4	no	—
1027	C₂×C₄⋊C₄	—	178	4	no	—
1028	C₂×C₄⋊C₄	—	178	4	no	—
1029	C₂×C₄⋊C₄	—	178	4	no	—
1030	C₂×C₄⋊C₄	—	178	4	no	—
1031	C₂×C₄⋊C₄	—	178	4	no	—
1032	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	—	89	1	no	—
1046	C₂×C₂²⋊C₄	—	89	1	no	—
1047	C₂×C₂²⋊C₄	—	89	1	no	—
1048	C₂×C₂²⋊C₄	—	89	1	no	—
1049	C₂×C₂²⋊C₄	—	89	1	no	—
1050	C₂×C₂²⋊C₄	—	89	1	no	—
1051	C₂×C₂²⋊C₄	—	89	1	no	—
1052	C₂×C₂²⋊C₄	—	89	1	no	—
1053	C₂×C₂²⋊C₄	—	89	1	no	—
1054	C₂×C₂²⋊C₄	—	89	1	no	—
1055	C₂×C₂²⋊C₄	—	89	1	no	—
1056	C₂×C₂²⋊C₄	—	89	1	no	—
1057	C₂×C₂²⋊C₄	—	89	1	no	—
1058	C₂×C₂²⋊C₄	—	89	1	no	—
1059	C₂×C₂²⋊C₄	—	89	1	no	—
1060	C₂×C₂²⋊C₄	—	89	1	no	—
1061	C₂×C₂²⋊C₄	—	89	1	no	—
1062	C₂×C₂²⋊C₄	—	89	1	no	—
1063	C₂×C₂²⋊C₄	—	89	1	no	—
1064	C₂×C₂²⋊C₄	—	89	1	no	—
1065	C₂×C₂²⋊C₄	—	89	1	no	—
1066	C₂×C₂²⋊C₄	—	178	4	no	—
1067	C₂×C₂²⋊C₄	—	178	4	no	—
1068	C₂×C₂²⋊C₄	—	178	4	no	—
1069	C₂×C₂²⋊C₄	—	178	4	no	—
1070	C₂×C₂²⋊C₄	—	178	4	no	—
1071	C₂×C₂²⋊C₄	—	178	4	no	—
1072	C₂×C₂²⋊C₄	—	178	4	no	—
1073	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂×C₄²	—	89	1	no	—
1081	C₂×C₄²	—	89	1	no	—
1082	C₂×C₄²	—	89	1	no	—
1083	C₂×C₄²	—	89	1	no	—
1084	C₂×C₄²	—	89	1	no	—
1085	C₂×C₄²	—	89	1	no	—
1086	C₂×C₄²	—	89	1	no	—
1087	C₂×C₄²	—	89	1	no	—
1088	C₂×C₄²	—	89	1	no	—
1089	C₂×C₄²	—	89	1	no	—
1090	C₂×C₄²	—	89	1	no	—
1091	C₂×C₄²	—	89	1	no	—
1092	C₂×C₄²	—	89	1	no	—
1093	C₂×C₄²	—	89	1	no	—
1094	C₂×C₄²	—	89	1	no	—
1095	C₂×C₄²	—	178	4	no	—
1096	C₂×C₄²	—	178	4	no	—
1097	C₂×C₄²	—	178	4	no	—
1098	C₂×C₄²	—	178	4	no	—
1099	C₂×C₄²	—	178	4	no	—
1100	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1101	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1102	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1103	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1104	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1105	#95	—	89	1	no	—
1106	#95	—	89	1	no	—
1107	#95	—	89	1	no	—
1108	#95	—	89	1	no	—
1109	#95	—	89	1	no	—
1110	#95	—	89	1	no	—
1111	#95	—	89	1	no	—
1112	#95	—	89	1	no	—
1113	#95	—	89	1	no	—
1114	#95	—	89	1	no	—
1115	#95	—	89	1	no	—
1116	#95	—	89	1	no	—
1117	#95	—	89	1	no	—
1118	#95	—	89	1	no	—
1119	#95	—	89	1	no	—
1120	#95	—	89	1	no	—
1121	#95	—	89	1	no	—
1122	#95	—	89	1	no	—
1123	#95	—	89	1	no	—
1124	#95	—	89	1	no	—
1125	#95	—	89	1	no	—
1126	#95	—	89	1	no	—
1127	#95	—	89	1	no	—
1128	#95	—	89	1	no	—
1129	#95	—	89	1	no	—
1130	#95	—	89	1	no	—
1131	#95	—	89	1	no	—
1132	#95	—	89	1	no	—
1133	#95	—	89	1	no	—
1134	#95	—	89	1	no	—
1135	#95	C₂²×D₈₉	1	1	yes	characteristic
1136	#95	C₂²×D₈₉	1	1	yes	characteristic
1137	#95	C₂²×D₈₉	1	1	yes	characteristic
1138	#95	C₂²×D₈₉	1	1	yes	characteristic
1139	#95	C₂²×D₈₉	1	1	yes	characteristic
1140	#95	C₂²×D₈₉	1	1	yes	characteristic
1141	#95	C₂²×D₈₉	1	1	yes	characteristic
1142	#95	C₂²×D₈₉	1	1	yes	characteristic
1143	#95	C₂²×D₈₉	1	1	yes	characteristic
1144	#95	C₂²×D₈₉	1	1	yes	characteristic
1145	C₂⁴	—	89	1	no	—
1146	C₂⁴	—	89	1	no	—
1147	C₂⁴	—	178	2	no	—
1148	C₂⁴	—	178	2	no	—
1149	C₂⁴	—	178	2	no	—
1150	C₂⁴	—	178	2	no	—
1151	C₂⁴	—	178	2	no	—
1152	C₂⁴	—	178	2	no	—
1153	C₂⁴	—	178	2	no	—
1154	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1155	C₂²×C₄	—	89	1	no	—
1156	C₂²×C₄	—	89	1	no	—
1157	C₂²×C₄	—	89	1	no	—
1158	C₂²×C₄	—	89	1	no	—
1159	C₂²×C₄	—	89	1	no	—
1160	C₂²×C₄	—	89	1	no	—
1161	C₂²×C₄	—	89	1	no	—
1162	C₂²×C₄	—	89	4	no	—
1163	C₂²×C₄	—	89	4	no	—
1164	C₂²×C₄	—	89	4	no	—
1165	C₂²×C₄	—	89	4	no	—
1166	C₂²×C₄	—	89	4	no	—
1167	C₂²×C₄	—	89	4	no	—
1168	C₂²×C₄	—	89	4	no	—
1169	C₂²×C₄	—	89	1	no	—
1170	C₂²×C₄	—	89	1	no	—
1171	C₂²×C₄	—	89	1	no	—
1172	C₂²×C₄	—	89	1	no	—
1173	C₂²×C₄	—	89	1	no	—
1174	C₂²×C₄	—	89	1	no	—
1175	C₂²×C₄	—	89	1	no	—
1176	C₂²×C₄	—	178	2	no	—
1177	C₂²×C₄	—	178	2	no	—
1178	C₂²×C₄	—	178	2	no	—
1179	C₂²×C₄	—	178	2	no	—
1180	C₂²×C₄	—	178	2	no	—
1181	C₂²×C₄	—	178	2	no	—
1182	C₂²×C₄	—	178	2	no	—
1183	C₂²×C₄	—	178	2	no	—
1184	C₂²×C₄	—	178	2	no	—
1185	C₂²×C₄	—	178	2	no	—
1186	C₂²×C₄	—	178	2	no	—
1187	C₂²×C₄	—	178	2	no	—
1188	C₂²×C₄	—	178	2	no	—
1189	C₂²×C₄	—	178	2	no	—
1190	C₂²×C₄	—	178	2	no	—
1191	C₂²×C₄	—	178	2	no	—
1192	C₂²×C₄	—	178	2	no	—
1193	C₂²×C₄	—	178	2	no	—
1194	C₂²×C₄	—	178	2	no	—
1195	C₂²×C₄	—	178	2	no	—
1196	C₂²×C₄	—	178	2	no	—
1197	C₂²×C₄	—	178	2	no	—
1198	C₂²×C₄	—	178	2	no	—
1199	C₂²×C₄	—	178	2	no	—
1200	C₂²×C₄	—	178	2	no	—
1201	C₂²×C₄	—	178	2	no	—
1202	C₂²×C₄	—	178	2	no	—
1203	C₂²×C₄	—	178	2	no	—
1204	C₂²×C₄	—	178	2	no	—
1205	C₂²×C₄	—	178	2	no	—
1206	C₂²×C₄	—	178	2	no	—
1207	C₂²×C₄	—	178	2	no	—
1208	C₂²×C₄	—	178	2	no	—
1209	C₂²×C₄	—	178	2	no	—
1210	C₂²×C₄	—	178	2	no	—
1211	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	2	2	no	—
1230	C₄⋊C₄	—	2	2	no	—
1231	C₄⋊C₄	—	2	2	no	—
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	2	2	no	—
1237	C₄⋊C₄	—	89	4	no	—
1238	C₄⋊C₄	—	89	4	no	—
1239	C₄⋊C₄	—	89	4	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	—	178	2	no	—
1253	C₄⋊C₄	—	178	2	no	—
1254	C₄⋊C₄	—	178	2	no	—
1255	C₄⋊C₄	—	178	2	no	—
1256	C₄⋊C₄	—	178	2	no	—
1257	C₄⋊C₄	—	178	2	no	—
1258	C₄⋊C₄	—	178	2	no	—
1259	C₄⋊C₄	—	178	2	no	—
1260	C₄⋊C₄	—	178	2	no	—
1261	C₄⋊C₄	—	178	2	no	—
1262	C₄⋊C₄	—	178	2	no	—
1263	C₄⋊C₄	—	178	2	no	—
1264	C₄⋊C₄	—	178	2	no	—
1265	C₄⋊C₄	—	178	2	no	—
1266	C₄⋊C₄	—	178	2	no	—
1267	C₄⋊C₄	—	178	2	no	—
1268	C₄⋊C₄	—	178	2	no	—
1269	C₄⋊C₄	—	178	2	no	—
1270	C₄⋊C₄	—	178	2	no	—
1271	C₄⋊C₄	—	178	2	no	—
1272	C₄⋊C₄	—	178	2	no	—
1273	C₄⋊C₄	—	178	2	no	—
1274	C₄⋊C₄	—	178	2	no	—
1275	C₄⋊C₄	—	178	2	no	—
1276	C₄⋊C₄	D₄×D₈₉	1	4	yes	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	178	2	no	—
1285	C₂²⋊C₄	—	178	2	no	—
1286	C₂²⋊C₄	—	178	2	no	—
1287	C₂²⋊C₄	—	178	2	no	—
1288	C₂²⋊C₄	—	178	2	no	—
1289	C₂²⋊C₄	—	178	2	no	—
1290	C₂²⋊C₄	—	178	2	no	—
1291	C₂²⋊C₄	—	178	2	no	—
1292	C₂²⋊C₄	—	178	2	no	—
1293	C₂²⋊C₄	—	178	2	no	—
1294	C₂²⋊C₄	—	178	2	no	—
1295	C₂²⋊C₄	—	178	2	no	—
1296	C₂²⋊C₄	—	178	2	no	—
1297	C₂²⋊C₄	—	178	2	no	—
1298	C₂²⋊C₄	—	178	2	no	—
1299	C₂²⋊C₄	—	178	2	no	—
1300	C₂²⋊C₄	—	178	2	no	—
1301	C₂²⋊C₄	—	178	2	no	—
1302	C₂²⋊C₄	—	178	2	no	—
1303	C₂²⋊C₄	—	178	2	no	—
1304	C₂²⋊C₄	—	178	2	no	—
1305	C₄²	—	2	2	no	—
1306	C₄²	—	2	2	no	—
1307	C₄²	—	2	2	no	—
1308	C₄²	—	2	2	no	—
1309	C₄²	—	2	2	no	—
1310	C₄²	—	178	2	no	—
1311	C₄²	—	178	2	no	—
1312	C₄²	—	178	2	no	—
1313	C₄²	—	178	2	no	—
1314	C₄²	—	178	2	no	—
1315	C₄²	—	178	2	no	—
1316	C₄²	—	178	2	no	—
1317	C₄²	—	178	2	no	—
1318	C₄²	—	178	2	no	—
1319	C₄²	—	178	2	no	—
1320	C₄²	—	178	2	no	—
1321	C₄²	—	178	2	no	—
1322	C₄²	—	178	2	no	—
1323	C₄²	—	178	2	no	—
1324	C₄²	—	178	2	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	89	2	no	—
1333	C₂³	—	89	2	no	—
1334	C₂³	—	89	2	no	—
1335	C₂³	—	89	2	no	—
1336	C₂³	—	89	2	no	—
1337	C₂³	—	89	2	no	—
1338	C₂³	—	89	2	no	—
1339	C₂³	—	356	4	no	—
1340	C₂³	—	356	4	no	—
1341	C₂³	—	356	4	no	—
1342	C₂³	—	356	4	no	—
1343	C₂³	—	356	4	no	—
1344	C₂³	—	356	4	no	—
1345	C₂³	—	356	4	no	—
1346	C₂³	—	178	1	no	—
1347	C₂³	—	178	1	no	—
1348	C₂³	—	178	1	no	—
1349	C₂³	—	178	1	no	—
1350	C₂³	—	178	1	no	—
1351	C₂³	—	178	1	no	—
1352	C₂³	—	178	1	no	—
1353	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	89	2	no	—
1390	C₂×C₄	—	89	2	no	—
1391	C₂×C₄	—	89	2	no	—
1392	C₂×C₄	—	89	2	no	—
1393	C₂×C₄	—	89	2	no	—
1394	C₂×C₄	—	89	2	no	—
1395	C₂×C₄	—	89	2	no	—
1396	C₂×C₄	—	356	4	no	—
1397	C₂×C₄	—	356	4	no	—
1398	C₂×C₄	—	356	4	no	—
1399	C₂×C₄	—	356	4	no	—
1400	C₂×C₄	—	356	4	no	—
1401	C₂×C₄	—	356	4	no	—
1402	C₂×C₄	—	356	4	no	—
1403	C₂×C₄	—	178	8	no	—
1404	C₂×C₄	—	178	8	no	—
1405	C₂×C₄	—	178	8	no	—
1406	C₂×C₄	—	178	8	no	—
1407	C₂×C₄	—	178	8	no	—
1408	C₂×C₄	—	178	8	no	—
1409	C₂×C₄	—	178	8	no	—
1410	C₂×C₄	—	178	1	no	—
1411	C₂×C₄	—	178	1	no	—
1412	C₂×C₄	—	178	1	no	—
1413	C₂×C₄	—	178	1	no	—
1414	C₂×C₄	—	178	1	no	—
1415	C₂×C₄	—	178	1	no	—
1416	C₂×C₄	—	178	1	no	—
1417	C₂×C₄	—	178	1	no	—
1418	C₂×C₄	—	178	1	no	—
1419	C₂×C₄	—	178	1	no	—
1420	C₂×C₄	—	178	1	no	—
1421	C₂×C₄	—	178	1	no	—
1422	C₂×C₄	—	178	1	no	—
1423	C₂×C₄	—	178	1	no	—
1424	C₂×C₄	—	178	1	no	—
1425	C₂×C₄	—	178	1	no	—
1426	C₂×C₄	—	178	1	no	—
1427	C₂×C₄	—	178	1	no	—
1428	C₂×C₄	—	178	1	no	—
1429	C₂×C₄	—	178	1	no	—
1430	C₂×C₄	—	178	1	no	—
1431	C₂×C₄	—	178	1	no	—
1432	C₂×C₄	—	178	1	no	—
1433	C₂×C₄	—	178	1	no	—
1434	C₂×C₄	—	178	1	no	—
1435	C₂×C₄	—	178	1	no	—
1436	C₂×C₄	—	178	1	no	—
1437	C₂×C₄	—	178	1	no	—
1438	C₂×C₄	—	178	1	no	—
1439	C₂×C₄	—	178	1	no	—
1440	C₂×C₄	—	178	1	no	—
1441	C₂×C₄	—	178	1	no	—
1442	C₂×C₄	—	178	1	no	—
1443	C₂×C₄	—	178	1	no	—
1444	C₂×C₄	—	178	1	no	—
1445	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1446	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1447	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1448	C₂×C₄	#41×D₈₉	1	2	yes	—
1449	C₂×C₄	#41×D₈₉	1	2	yes	—
1450	C₂×C₄	#41×D₈₉	1	2	yes	—
1451	C₂×C₄	#41×D₈₉	1	2	yes	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	89	4	no	—
1460	C₂²	—	89	4	no	—
1461	C₂²	—	89	4	no	—
1462	C₂²	—	89	4	no	—
1463	C₂²	—	89	4	no	—
1464	C₂²	—	89	4	no	—
1465	C₂²	—	89	4	no	—
1466	C₂²	—	356	1	no	—
1467	C₂²	—	356	1	no	—
1468	C₂²	—	356	1	no	—
1469	C₂²	—	356	1	no	—
1470	C₂²	—	356	1	no	—
1471	C₂²	—	356	1	no	—
1472	C₂²	—	356	1	no	—
1473	C₂²	—	712	8	no	—
1474	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1475	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1476	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1477	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1478	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1479	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1480	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	4	1	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	356	1	no	—
1496	C₄	—	356	1	no	—
1497	C₄	—	356	1	no	—
1498	C₄	—	356	1	no	—
1499	C₄	—	356	1	no	—
1500	C₄	—	356	1	no	—
1501	C₄	—	356	1	no	—
1502	C₄	—	178	2	no	—
1503	C₄	—	178	2	no	—
1504	C₄	—	178	2	no	—
1505	C₄	—	178	2	no	—
1506	C₄	—	178	2	no	—
1507	C₄	—	178	2	no	—
1508	C₄	—	178	2	no	—
1509	C₂	—	8	1	no	—
1510	C₂	—	89	8	no	—
1511	C₂	—	712	1	no	—
1512	C₂	#529×D₈₉	1	1	yes	characteristic
1513	C₂	#532×D₈₉	1	1	yes	characteristic
1514	C₂	#541×D₈₉	1	1	yes	characteristic
1515	C₂	#547×D₈₉	1	1	yes	characteristic
1516	C₂	#548×D₈₉	1	1	yes	characteristic
1517	C₂	#552×D₈₉	1	1	yes	characteristic
1518	C₂	#552×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2519	C₂
prime radical	C₂⁴×D₈₉	C₂³
hypercenter	#2519	D₈₉
hypocenter	C₈₉	C₂×#2519
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2519

Complements

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

N	H ≅ G/N	type
2. C₂×#125×D₈₉	C₂	semidirect
3. #26024932	C₂	semidirect
4. #26024931	C₂	semidirect
5. #26024930	C₂	semidirect
6. #26024929	C₂	semidirect
7. #26024928	C₂	semidirect
8. #26024927	C₂	semidirect
9. #26024926	C₂	semidirect
10. #26024925	C₂	semidirect
11. #26024924	C₂	semidirect
12. #26024923	C₂	semidirect
13. #26024922	C₂	semidirect
14. #26024921	C₂	semidirect
15. #26024920	C₂	semidirect
16. #26024919	C₂	semidirect
17. #26024918	C₂	semidirect
19. #398×D₈₉	C₂	semidirect
20. #398×D₈₉	C₂	semidirect
22. #389×D₈₉	C₂	semidirect
27. #387×D₈₉	C₂	semidirect
28. #382×D₈₉	C₂	semidirect
29. C₄×C₄⋊C₄×D₈₉	C₂	semidirect
30. C₄×C₄⋊C₄×D₈₉	C₂	semidirect
31. C₈₉×#2519	C₂	semidirect
40. C₂×#15668004	C₂²	semidirect
41. C₂×#15668003	C₂²	semidirect
42. C₂×#15668003	C₂²	semidirect
43. C₂×#15668002	C₂²	semidirect
44. C₂×#15668002	C₂²	semidirect
45. C₂×#15668002	C₂²	semidirect
46. C₂×#15668002	C₂²	semidirect
80. #19151532	C₂²	semidirect
81. #19151532	C₂²	semidirect
82. #19151532	C₂²	semidirect
83. #19151532	C₂²	semidirect
84. #19151531	C₂²	semidirect
85. #19151531	C₂²	semidirect
86. #19151531	C₂²	semidirect
87. #19151531	C₂²	semidirect
88. #19151530	C₂²	semidirect
89. #19151530	C₂²	semidirect
90. #19151529	C₂²	semidirect
91. #19151529	C₂²	semidirect
92. #19151528	C₂²	semidirect
93. #19151528	C₂²	semidirect
101. #19151497	C₂²	semidirect
102. #19151496	C₂²	semidirect
103. #19151495	C₂²	semidirect
104. #19151495	C₂²	semidirect
105. #19151494	C₂²	semidirect
106. #19151493	C₂²	semidirect
107. #19151493	C₂²	semidirect
136. #19151485	C₂²	semidirect
137. #19151484	C₂²	semidirect
138. #19151483	C₂²	semidirect
139. #19151482	C₂²	semidirect
140. #19151481	C₂²	semidirect
141. #19151480	C₂²	semidirect
142. #19151479	C₂²	semidirect
143. #19151464	C₂²	semidirect
144. #19151463	C₂²	semidirect
145. #19151463	C₂²	semidirect
146. #19151462	C₂²	semidirect
147. #19151462	C₂²	semidirect
148. #19151462	C₂²	semidirect
149. #19151462	C₂²	semidirect
150. C₄⋊C₄×Dic₈₉	C₂²	semidirect
151. C₄⋊C₄×Dic₈₉	C₂²	semidirect
152. C₄⋊C₄×Dic₈₉	C₂²	semidirect
153. C₄⋊C₄×Dic₈₉	C₂²	semidirect
154. C₄×#13083553	C₂²	semidirect
155. C₄×#13083553	C₂²	semidirect
156. C₄×#13083553	C₂²	semidirect
157. C₄×#13083553	C₂²	semidirect
158. C₄×C₄⋊Dic₈₉	C₂²	semidirect
159. C₄×C₄⋊Dic₈₉	C₂²	semidirect
160. #19151449	C₂²	semidirect
161. #19151449	C₂²	semidirect
162. #19151449	C₂²	semidirect
163. #19151449	C₂²	semidirect
175. C₂×#125×C₈₉	C₂²	semidirect
177. #398×C₈₉	C₂²	semidirect
178. #398×C₈₉	C₂²	semidirect
180. #389×C₈₉	C₂²	semidirect
185. #387×C₈₉	C₂²	semidirect
186. #382×C₈₉	C₂²	semidirect
187. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
188. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
759. D₈₉	#2519	direct (N × H)
777. #2519	D₈₉	direct (N × H)
791. C₈₉	C₂×#2519	semidirect
809. C₂×#125	C₂×D₈₉	semidirect
857. #398	C₂×D₈₉	semidirect
858. #398	C₂×D₈₉	semidirect
874. #389	C₂×D₈₉	semidirect
914. #387	C₂×D₈₉	semidirect
922. #382	C₂×D₈₉	semidirect
937. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
938. C₄×C₄⋊C₄	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#126×D₈₉	2
C₂×#125×D₈₉	2
#26024932	2
#26024931	2
#26024930	2
#26024929	2
#26024928	2
#26024927	2
#26024926	2
#26024925	2
#26024924	2
#26024923	2
#26024922	2
#26024921	2
#26024920	2
#26024919	2
#26024918	2
#399×D₈₉	2
#398×D₈₉	2
#396×D₈₉	2
#389×D₈₉	2
#388×D₈₉	2
#387×D₈₉	2
#382×D₈₉	2
C₄×C₄⋊C₄×D₈₉	2
C₈₉×#2519	2
C₂×#2519	89

Subgroups — #2519×D89 #36723507

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2519×D₈₉ #36723507