Subgroups — #36761882

Order 22784.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152226	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#19152192	C₂	1	1	yes	maximal, characteristic
3	#26028602	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028549	C₂	1	1	yes	maximal, characteristic
5	#26027154	C₂	1	1	yes	maximal, characteristic, complemented
6	#26027148	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027124	C₂	1	1	yes	maximal, characteristic, complemented
8	#26027118	C₂	1	1	yes	maximal, characteristic, complemented
9	#26027085	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027079	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027040	C₂	1	1	yes	maximal, characteristic, complemented
12	#26027034	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026779	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026773	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026725	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026719	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026569	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026564	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026539	C₂	1	1	yes	maximal, characteristic, complemented
20	#26026530	C₂	1	1	yes	maximal, characteristic, complemented
21	#26026369	C₂	1	1	yes	maximal, characteristic, complemented
22	#26026182	C₂	1	1	yes	maximal, characteristic
23	#26025436	C₂	1	1	yes	maximal, characteristic, complemented
24	#26025430	C₂	1	1	yes	maximal, characteristic, complemented
25	#26024698	C₂	1	1	yes	maximal, characteristic, complemented
26	#26024696	C₂	1	1	yes	maximal, characteristic, complemented
27	#26024690	C₂	1	1	yes	maximal, characteristic, complemented
28	#26023702	C₂	1	1	yes	maximal, characteristic, complemented
29	#26023700	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151481	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2498	C₂	1	1	yes	maximal, characteristic, complemented
32	#19152226	—	2	8	no	—
33	#19152192	—	2	8	no	—
34	C₂×#15668012	C₂²	1	1	yes	characteristic
35	C₂×#15668012	C₂²	1	1	yes	characteristic
36	C₂×#15668011	C₂²	1	1	yes	characteristic
37	C₂×#15668011	C₂²	1	1	yes	characteristic
38	C₂×#15668011	C₂²	1	1	yes	characteristic
39	C₂×#15668007	C₂²	1	1	yes	characteristic
40	C₂×#15668005	C₂²	1	1	yes	characteristic
41	C₂×#15668004	C₂²	1	1	yes	characteristic
42	C₂×#15668004	C₂²	1	1	yes	characteristic
43	C₂×#15668003	C₂²	1	1	yes	characteristic
44	C₂×#15668003	C₂²	1	1	yes	characteristic
45	C₂×#15668003	C₂²	1	1	yes	characteristic
46	C₂×#15668002	C₂²	1	1	yes	characteristic
47	C₂×#15667998	C₂²	1	1	yes	characteristic
48	C₂×#15667996	C₂²	1	1	yes	characteristic
49	C₂×#15667995	C₂²	1	1	yes	characteristic
50	C₂×#15667994	C₂²	1	1	yes	characteristic
51	C₂×#15667992	C₂²	1	1	yes	characteristic
52	C₂×#15667990	C₂²	1	1	yes	characteristic
53	C₂×#15667989	C₂²	1	1	yes	characteristic
54	C₂×#15667989	C₂²	1	1	yes	characteristic
55	C₂×#15667989	C₂²	1	1	yes	characteristic
56	C₂×#15667989	C₂²	1	1	yes	characteristic
57	C₂×#15667989	C₂²	1	1	yes	characteristic
58	C₂×#15667989	C₂²	1	1	yes	characteristic
59	C₂×#15667989	C₂²	1	1	yes	characteristic
60	C₂×#15667984	C₂²	1	1	yes	characteristic
61	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
62	C₂×#15667972	C₂²	1	1	yes	characteristic
63	C₂×#15667971	C₂²	1	1	yes	characteristic
64	C₂²×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
65	C₂²×#13083553	C₂²	1	1	yes	characteristic
66	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
67	#19151540	C₂²	1	1	yes	characteristic
68	#19151540	C₂²	1	1	yes	characteristic
69	#19151539	C₂²	1	1	yes	characteristic
70	#19151539	C₂²	1	1	yes	characteristic
71	#19151538	C₂²	1	1	yes	characteristic
72	#19151537	C₂²	1	1	yes	characteristic
73	#19151536	C₂²	1	1	yes	characteristic
74	#19151535	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	#19151532	C₂²	1	1	yes	characteristic
80	#19151532	C₂²	1	1	yes	characteristic
81	#19151532	C₂²	1	1	yes	characteristic
82	#19151532	C₂²	1	1	yes	characteristic
83	#19151531	C₂²	1	1	yes	characteristic
84	#19151531	C₂²	1	1	yes	characteristic
85	#19151530	C₂²	1	1	yes	characteristic
86	#19151530	C₂²	1	1	yes	characteristic
87	#19151529	C₂²	1	1	yes	characteristic
88	#19151529	C₂²	1	1	yes	characteristic
89	#19151528	C₂²	1	1	yes	characteristic
90	#19151527	C₂²	1	1	yes	characteristic
91	#19151526	C₂²	1	1	yes	characteristic
92	#19151525	C₂²	1	1	yes	characteristic
93	#19151524	C₂²	1	1	yes	characteristic
94	#19151523	C₂²	1	1	yes	characteristic
95	#19151522	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	#19151519	C₂²	1	1	yes	characteristic
100	#19151519	C₂²	1	1	yes	characteristic
101	#19151519	C₂²	1	1	yes	characteristic
102	#19151518	C₂²	1	1	yes	characteristic
103	#19151518	C₂²	1	1	yes	characteristic
104	#19151518	C₂²	1	1	yes	characteristic
105	#19151514	C₂²	1	1	yes	characteristic
106	#19151513	C₂²	1	1	yes	characteristic
107	#19151511	C₂²	1	1	yes	characteristic
108	#19151511	C₂²	1	1	yes	characteristic
109	#19151510	C₂²	1	1	yes	characteristic
110	#19151510	C₂²	1	1	yes	characteristic
111	#19151502	C₂²	1	1	yes	characteristic
112	#19151502	C₂²	1	1	yes	characteristic
113	#19151502	C₂²	1	1	yes	characteristic
114	#19151502	C₂²	1	1	yes	characteristic
115	#19151502	C₂²	1	1	yes	characteristic
116	#19151498	C₂²	1	1	yes	characteristic
117	#19151497	C₂²	1	1	yes	characteristic
118	#19151495	C₂²	1	1	yes	characteristic
119	#19151495	C₂²	1	1	yes	characteristic
120	#19151495	C₂²	1	1	yes	characteristic
121	#19151494	C₂²	1	1	yes	characteristic
122	#19151493	C₂²	1	1	yes	characteristic
123	#19151491	C₂²	1	1	yes	characteristic
124	#19151490	C₂²	1	1	yes	characteristic
125	#19151490	C₂²	1	1	yes	characteristic
126	#19151490	C₂²	1	1	yes	characteristic
127	#19151489	C₂²	1	1	yes	characteristic
128	#19151489	C₂²	1	1	yes	characteristic
129	#19151487	C₂²	1	1	yes	characteristic
130	#19151486	C₂²	1	1	yes	characteristic
131	#19151486	C₂²	1	1	yes	characteristic
132	#19151486	C₂²	1	1	yes	characteristic
133	#19151485	C₂²	1	1	yes	characteristic
134	#19151484	C₂²	1	1	yes	characteristic
135	#19151483	C₂²	1	1	yes	characteristic
136	#19151483	C₂²	1	1	yes	characteristic
137	#19151482	C₂²	1	1	yes	characteristic
138	#19151482	C₂²	1	1	yes	characteristic
139	#19151481	C₂²	1	1	yes	characteristic
140	#19151481	C₂²	1	1	yes	characteristic
141	#19151481	C₂²	1	1	yes	characteristic
142	#19151481	C₂²	1	1	yes	characteristic
143	#19151481	C₂²	1	1	yes	characteristic
144	#19151481	C₂²	1	1	yes	characteristic
145	#19151481	C₂²	1	1	yes	characteristic
146	#19151481	C₂²	1	1	yes	characteristic
147	#19151481	C₂²	1	1	yes	characteristic
148	#19151480	C₂²	1	1	yes	characteristic
149	#19151479	C₂²	1	1	yes	characteristic
150	#19151479	C₂²	1	1	yes	characteristic
151	#19151478	C₂²	1	1	yes	characteristic
152	#19151478	C₂²	1	1	yes	characteristic
153	#19151477	C₂²	1	1	yes	characteristic
154	#19151477	C₂²	1	1	yes	characteristic
155	#19151475	C₂²	1	1	yes	characteristic
156	#19151475	C₂²	1	1	yes	characteristic
157	#19151473	C₂²	1	1	yes	characteristic
158	#19151472	C₂²	1	1	yes	characteristic
159	#19151470	C₂²	1	1	yes	characteristic
160	#19151469	C₂²	1	1	yes	characteristic
161	#19151467	C₂²	1	1	yes	characteristic
162	#19151462	C₂²	1	1	yes	characteristic
163	#19151458	C₂²	1	1	yes	characteristic
164	#19151458	C₂²	1	1	yes	characteristic
165	#19151457	C₂²	1	1	yes	characteristic
166	#19151456	C₂²	1	1	yes	characteristic
167	#19151456	C₂²	1	1	yes	characteristic
168	#19151456	C₂²	1	1	yes	characteristic
169	#19151456	C₂²	1	1	yes	characteristic
170	#19151456	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic
172	C₂×#15667919	C₂²	1	1	yes	characteristic
173	C₂×#15667919	C₂²	1	1	yes	characteristic
174	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
176	#400×C₈₉	C₂²	1	1	yes	characteristic
177	#399×C₈₉	C₂²	1	1	yes	characteristic
178	#398×C₈₉	C₂²	1	1	yes	characteristic
179	#397×C₈₉	C₂²	1	1	yes	characteristic
180	#388×C₈₉	C₂²	1	1	yes	characteristic
181	#388×C₈₉	C₂²	1	1	yes	characteristic
182	#387×C₈₉	C₂²	1	1	yes	characteristic
183	#387×C₈₉	C₂²	1	1	yes	characteristic
184	#386×C₈₉	C₂²	1	1	yes	characteristic
185	#386×C₈₉	C₂²	1	1	yes	characteristic
186	#380×C₈₉	C₂²	1	1	yes	characteristic
187	#380×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#95×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	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
196	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
198	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
199	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
200	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
202	#15668012	—	2	4	no	—
203	#15668012	—	2	4	no	—
204	#15668011	—	2	4	no	—
205	#15668011	—	2	4	no	—
206	#15668011	—	4	2	no	—
207	#15668007	—	2	4	no	—
208	#15668005	—	2	4	no	—
209	#15668004	—	2	4	no	—
210	#15668004	—	2	4	no	—
211	#15668003	—	2	4	no	—
212	#15668003	—	2	4	no	—
213	#15668003	—	2	4	no	—
214	#15668002	—	2	4	no	—
215	#15667998	—	4	2	no	—
216	#15667996	—	2	4	no	—
217	#15667995	—	2	4	no	—
218	#15667994	—	2	4	no	—
219	#15667992	—	2	4	no	—
220	#15667990	—	4	2	no	—
221	#15667989	—	2	4	no	—
222	#15667989	—	2	4	no	—
223	#15667989	—	2	4	no	—
224	#15667989	—	2	4	no	—
225	#15667989	—	2	4	no	—
226	#15667989	—	2	4	no	—
227	#15667989	—	4	2	no	—
228	#15667984	—	2	4	no	—
229	D₄×Dic₈₉	—	2	4	no	—
230	#15667972	—	2	4	no	—
231	#15667971	—	2	4	no	—
232	C₂×C₄⋊Dic₈₉	D₄	1	8	yes	—
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×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
249	C₂×#13083553	—	4	2	no	—
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	C₂×#13083553	C₂³	1	1	yes	characteristic
270	C₂×#13083553	C₂³	1	1	yes	characteristic
271	C₂×#13083553	C₂³	1	1	yes	characteristic
272	C₂×#13083553	C₂³	1	1	yes	characteristic
273	C₂×#13083553	C₂³	1	1	yes	characteristic
274	C₂×#13083553	C₂³	1	1	yes	characteristic
275	C₂×#13083553	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₈₉	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	C₂×#13083551	C₂³	1	1	yes	characteristic
292	C₂×#13083551	C₂³	1	1	yes	characteristic
293	C₂×#13083551	C₂³	1	1	yes	characteristic
294	C₂×#13083551	C₂³	1	1	yes	characteristic
295	C₂×#13083551	C₂³	1	1	yes	characteristic
296	C₂×#13083551	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₈₉	—	4	2	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	#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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
346	#123×C₈₉	—	2	4	no	—
347	#117×C₈₉	—	2	4	no	—
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	#95×C₈₉	C₂³	1	1	yes	characteristic
377	#95×C₈₉	C₂³	1	1	yes	characteristic
378	#95×C₈₉	C₂³	1	1	yes	characteristic
379	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₁₇₈	—	2	2	no	—
381	C₂×Dic₁₇₈	—	2	2	no	—
382	C₂×Dic₁₇₈	—	2	2	no	—
383	C₂×Dic₁₇₈	—	2	2	no	—
384	C₂×Dic₁₇₈	—	2	2	no	—
385	C₂×Dic₁₇₈	—	4	1	no	—
386	C₂×Dic₁₇₈	—	4	1	no	—
387	C₂×Dic₁₇₈	—	4	1	no	—
388	C₂×Dic₁₇₈	—	4	1	no	—
389	C₂×Dic₁₇₈	—	4	1	no	—
390	C₂×Dic₁₇₈	—	4	1	no	—
391	C₂×Dic₁₇₈	—	4	1	no	—
392	C₂×Dic₁₇₈	—	4	1	no	—
393	C₂×Dic₁₇₈	—	4	1	no	—
394	C₂×Dic₁₇₈	—	4	1	no	—
395	C₂×C₂²⋊D₈₉	—	2	2	no	—
396	C₂×C₂²⋊D₈₉	—	2	2	no	—
397	C₂×C₂²⋊D₈₉	—	2	2	no	—
398	C₂×C₂²⋊D₈₉	—	2	2	no	—
399	C₂×C₂²⋊D₈₉	—	4	1	no	—
400	C₂×C₂²⋊D₈₉	—	4	1	no	—
401	C₂²×Dic₈₉	—	2	2	no	—
402	C₂²×Dic₈₉	—	2	2	no	—
403	C₂²×Dic₈₉	—	2	2	no	—
404	C₂²×Dic₈₉	—	2	2	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	—	4	1	no	—
408	C₂²×Dic₈₉	—	4	1	no	—
409	C₂²×Dic₈₉	—	4	1	no	—
410	C₂²×Dic₈₉	—	4	1	no	—
411	C₂²×Dic₈₉	—	4	1	no	—
412	C₂²×Dic₈₉	—	4	1	no	—
413	C₂²×Dic₈₉	—	4	1	no	—
414	C₂²×Dic₈₉	C₂×D₄	1	4	yes	—
415	C₂²×Dic₈₉	C₂×D₄	1	4	yes	—
416	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×D₈₉	—	2	2	no	—
432	C₂×C₄×D₈₉	—	4	1	no	—
433	C₂×C₄×D₈₉	—	4	1	no	—
434	C₄⋊Dic₈₉	—	2	2	no	—
435	C₄⋊Dic₈₉	—	2	2	no	—
436	C₄⋊Dic₈₉	—	2	2	no	—
437	C₄⋊Dic₈₉	—	2	2	no	—
438	C₄⋊Dic₈₉	—	2	2	no	—
439	C₄⋊Dic₈₉	—	2	2	no	—
440	C₄⋊Dic₈₉	—	2	2	no	—
441	C₄⋊Dic₈₉	—	2	2	no	—
442	C₄⋊Dic₈₉	—	2	2	no	—
443	C₄⋊Dic₈₉	—	4	1	no	—
444	C₄⋊Dic₈₉	—	4	1	no	—
445	C₄⋊Dic₈₉	—	4	1	no	—
446	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
447	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
448	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
449	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
450	#13083553	—	2	2	no	—
451	#13083553	—	2	2	no	—
452	#13083553	—	2	2	no	—
453	#13083553	—	2	2	no	—
454	#13083553	—	2	2	no	—
455	#13083553	—	2	2	no	—
456	#13083553	—	2	2	no	—
457	#13083553	—	2	2	no	—
458	#13083553	—	2	2	no	—
459	#13083553	—	2	2	no	—
460	#13083553	—	2	2	no	—
461	#13083553	—	2	2	no	—
462	#13083553	—	2	2	no	—
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	—	4	1	no	—
469	#13083553	—	4	1	no	—
470	#13083553	—	4	1	no	—
471	#13083553	—	4	1	no	—
472	#13083553	—	4	1	no	—
473	#13083553	—	4	1	no	—
474	#13083553	—	4	1	no	—
475	#13083553	—	4	1	no	—
476	C₂²⋊Dic₈₉	—	2	2	no	—
477	C₂²⋊Dic₈₉	—	2	2	no	—
478	C₂²⋊Dic₈₉	—	2	2	no	—
479	C₂²⋊Dic₈₉	—	2	2	no	—
480	C₂²⋊Dic₈₉	—	2	2	no	—
481	C₂²⋊Dic₈₉	—	2	2	no	—
482	C₂²⋊Dic₈₉	—	4	1	no	—
483	C₂²⋊Dic₈₉	—	4	1	no	—
484	C₂²⋊Dic₈₉	—	4	1	no	—
485	#13083551	—	2	2	no	—
486	#13083551	—	2	2	no	—
487	#13083551	—	2	2	no	—
488	#13083551	—	2	2	no	—
489	#13083551	—	2	2	no	—
490	#13083551	—	2	2	no	—
491	#13083551	—	4	1	no	—
492	#13083551	—	4	1	no	—
493	#13083551	—	4	1	no	—
494	#13083551	—	4	1	no	—
495	#13083551	—	4	1	no	—
496	#13083551	—	4	1	no	—
497	C₄×Dic₈₉	—	2	2	no	—
498	C₄×Dic₈₉	—	2	2	no	—
499	C₄×Dic₈₉	—	2	2	no	—
500	C₄×Dic₈₉	—	2	2	no	—
501	C₄×Dic₈₉	—	2	2	no	—
502	C₄×Dic₈₉	—	2	2	no	—
503	C₄×Dic₈₉	—	4	1	no	—
504	C₄×Dic₈₉	—	4	1	no	—
505	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
506	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₈₉	—	2	2	no	—
508	C₂×D₄×C₈₉	—	2	2	no	—
509	C₂×D₄×C₈₉	—	2	2	no	—
510	C₂²×C₄×C₈₉	—	2	2	no	—
511	C₂²×C₄×C₈₉	—	2	2	no	—
512	C₂²×C₄×C₈₉	—	2	2	no	—
513	C₂²×C₄×C₈₉	—	2	2	no	—
514	C₂²×C₄×C₈₉	—	2	2	no	—
515	C₂²×C₄×C₈₉	—	4	1	no	—
516	C₂²×C₄×C₈₉	—	4	1	no	—
517	C₂²×C₄×C₈₉	—	4	1	no	—
518	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
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	—	4	1	no	—
538	C₄⋊C₄×C₈₉	—	4	1	no	—
539	C₄⋊C₄×C₈₉	—	4	1	no	—
540	C₂²⋊C₄×C₈₉	—	2	2	no	—
541	C₂²⋊C₄×C₈₉	—	2	2	no	—
542	C₂²⋊C₄×C₈₉	—	2	2	no	—
543	C₂²⋊C₄×C₈₉	—	2	2	no	—
544	C₂²⋊C₄×C₈₉	—	2	2	no	—
545	C₂²⋊C₄×C₈₉	—	2	2	no	—
546	C₂²⋊C₄×C₈₉	—	4	1	no	—
547	C₂²⋊C₄×C₈₉	—	4	1	no	—
548	C₂²⋊C₄×C₈₉	—	4	1	no	—
549	C₄²×C₈₉	—	2	2	no	—
550	C₄²×C₈₉	—	2	2	no	—
551	C₂³×C₈₉	—	2	1	no	—
552	C₂³×C₈₉	—	2	1	no	—
553	C₂³×C₈₉	—	2	1	no	—
554	C₂³×C₈₉	—	2	1	no	—
555	C₂³×C₈₉	—	2	1	no	—
556	C₂³×C₈₉	—	2	1	no	—
557	C₂³×C₈₉	—	2	1	no	—
558	C₂³×C₈₉	—	2	1	no	—
559	C₂³×C₈₉	—	2	1	no	—
560	C₂³×C₈₉	—	2	1	no	—
561	C₂³×C₈₉	—	2	1	no	—
562	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
563	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
564	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
565	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
566	C₂²×D₈₉	—	2	1	no	—
567	C₂²×D₈₉	—	2	1	no	—
568	C₂²×D₈₉	—	2	1	no	—
569	C₂²×D₈₉	—	2	1	no	—
570	C₂²×D₈₉	—	2	1	no	—
571	C₂²×D₈₉	—	2	1	no	—
572	C₂²×D₈₉	—	2	1	no	—
573	D₄×C₈₉	—	4	4	no	—
574	C₂×C₄×C₈₉	—	2	8	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	—	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	—	4	4	no	—
612	C₂×C₄×C₈₉	—	8	2	no	—
613	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
614	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
615	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
616	C₂²⋊D₈₉	—	4	4	no	—
617	C₂²⋊D₈₉	—	8	2	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	—	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	—	4	4	no	—
659	C₂×Dic₈₉	—	4	4	no	—
660	C₂×Dic₈₉	—	4	4	no	—
661	C₂×Dic₈₉	—	8	2	no	—
662	C₂×Dic₈₉	—	8	2	no	—
663	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
664	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
665	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
666	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
667	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
668	C₄×D₈₉	—	8	2	no	—
669	Dic₁₇₈	—	8	2	no	—
670	Dic₁₇₈	—	8	2	no	—
671	Dic₁₇₈	—	8	2	no	—
672	Dic₁₇₈	—	8	2	no	—
673	Dic₁₇₈	—	8	2	no	—
674	C₂²×C₈₉	—	2	2	no	—
675	C₂²×C₈₉	—	2	2	no	—
676	C₂²×C₈₉	—	2	2	no	—
677	C₂²×C₈₉	—	2	2	no	—
678	C₂²×C₈₉	—	2	2	no	—
679	C₂²×C₈₉	—	2	2	no	—
680	C₂²×C₈₉	—	4	1	no	—
681	C₂²×C₈₉	—	4	1	no	—
682	C₂²×C₈₉	—	4	1	no	—
683	C₂²×C₈₉	—	4	1	no	—
684	C₂²×C₈₉	—	4	1	no	—
685	C₂²×C₈₉	—	4	1	no	—
686	C₂²×C₈₉	—	4	1	no	—
687	C₂²×C₈₉	#536	1	4	yes	—
688	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
689	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
691	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
693	C₂²×C₈₉	#585	1	1	yes	characteristic
694	C₂²×C₈₉	#585	1	1	yes	characteristic
695	C₂×D₈₉	—	4	1	no	—
696	C₂×D₈₉	—	4	1	no	—
697	C₂×D₈₉	—	4	1	no	—
698	C₂×D₈₉	—	4	1	no	—
699	C₂×D₈₉	—	4	1	no	—
700	C₂×D₈₉	—	4	1	no	—
701	C₂×D₈₉	—	4	1	no	—
702	C₄×C₈₉	—	2	2	no	—
703	C₄×C₈₉	—	2	2	no	—
704	C₄×C₈₉	—	2	2	no	—
705	C₄×C₈₉	—	4	1	no	—
706	C₄×C₈₉	—	4	1	no	—
707	C₄×C₈₉	—	4	1	no	—
708	C₄×C₈₉	—	4	1	no	—
709	C₄×C₈₉	—	4	1	no	—
710	C₄×C₈₉	—	4	1	no	—
711	C₄×C₈₉	—	4	1	no	—
712	C₄×C₈₉	—	4	1	no	—
713	C₄×C₈₉	—	4	1	no	—
714	C₄×C₈₉	—	4	1	no	—
715	Dic₈₉	—	2	2	no	—
716	Dic₈₉	—	2	2	no	—
717	Dic₈₉	—	2	2	no	—
718	Dic₈₉	—	2	2	no	—
719	Dic₈₉	—	2	2	no	—
720	Dic₈₉	—	4	1	no	—
721	Dic₈₉	—	4	1	no	—
722	Dic₈₉	—	4	1	no	—
723	Dic₈₉	—	4	1	no	—
724	Dic₈₉	—	4	1	no	—
725	Dic₈₉	—	4	1	no	—
726	Dic₈₉	—	4	1	no	—
727	Dic₈₉	—	4	1	no	—
728	Dic₈₉	—	4	1	no	—
729	Dic₈₉	—	4	1	no	—
730	#36742	—	89	1	no	maximal, Sylow
731	C₂×C₈₉	—	2	4	no	—
732	C₂×C₈₉	—	8	1	no	—
733	C₂×C₈₉	C₂×#536	1	1	yes	characteristic
734	C₂×C₈₉	#3496	1	1	yes	characteristic
735	C₂×C₈₉	#3497	1	1	yes	characteristic
736	C₂×C₈₉	#3535	1	1	yes	characteristic
737	C₂×C₈₉	#3538	1	1	yes	characteristic
738	C₂×C₈₉	#3563	1	1	yes	characteristic
739	C₂×C₈₉	#3564	1	1	yes	characteristic
740	D₈₉	—	8	1	no	—
741	C₂×#544	—	89	1	no	—
742	C₂×#539	—	89	1	no	—
743	#2857	—	89	1	no	—
744	#2850	—	89	1	no	—
745	#2721	—	89	1	no	—
746	#2721	—	89	1	no	—
747	#2719	—	89	1	no	—
748	#2719	—	89	1	no	—
749	#2716	—	89	1	no	—
750	#2716	—	89	1	no	—
751	#2713	—	89	1	no	—
752	#2713	—	89	1	no	—
753	#2694	—	89	1	no	—
754	#2694	—	89	1	no	—
755	#2690	—	89	1	no	—
756	#2690	—	89	1	no	—
757	#2677	—	89	1	no	—
758	#2677	—	89	1	no	—
759	#2674	—	89	1	no	—
760	#2674	—	89	1	no	—
761	#2659	—	89	1	no	—
762	#2639	—	89	1	no	—
763	#2564	—	89	1	no	—
764	#2564	—	89	1	no	—
765	#2498	—	89	1	no	—
766	#2498	—	89	1	no	—
767	#2498	—	89	1	no	—
768	#2498	D₈₉	1	1	yes	characteristic, complemented
769	#2417	—	89	1	no	—
770	#2417	—	89	1	no	—
771	C₂×#387	—	89	1	no	—
772	C₈₉	#36742	1	1	yes	characteristic, complemented, Sylow
773	#544	—	178	8	no	—
774	#539	—	178	8	no	—
775	C₂×C₄⋊Q₈	—	89	1	no	—
776	C₂×C₄⋊Q₈	—	89	1	no	—
777	C₂×C₄⋊Q₈	—	89	1	no	—
778	C₂×C₄⋊Q₈	—	89	1	no	—
779	C₂×C₄⋊Q₈	—	89	1	no	—
780	C₂×#126	—	89	1	no	—
781	C₂×#126	—	89	1	no	—
782	C₂×#125	—	89	1	no	—
783	C₂×#125	—	89	1	no	—
784	C₂×#125	—	89	1	no	—
785	C₂×#125	—	89	1	no	—
786	C₂×#125	—	89	1	no	—
787	C₂×#125	—	89	1	no	—
788	C₂×#124	—	89	1	no	—
789	C₂×#123	—	89	1	no	—
790	C₂×#123	—	89	1	no	—
791	C₂×#123	—	89	1	no	—
792	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
793	C₂×C₂²⋊Q₈	—	89	1	no	—
794	C₂×C₂²⋊Q₈	—	89	1	no	—
795	C₂×C₂²⋊Q₈	—	89	1	no	—
796	C₂×C₂²⋊Q₈	—	89	1	no	—
797	C₂×C₂²⋊Q₈	—	89	1	no	—
798	C₂×C₂²⋊Q₈	—	89	1	no	—
799	C₂×C₂²⋊Q₈	—	89	1	no	—
800	C₂×C₂²⋊Q₈	—	89	1	no	—
801	C₂×C₂²⋊Q₈	—	89	1	no	—
802	C₂×#121	—	89	1	no	—
803	C₂×C₄×D₄	—	89	1	no	—
804	C₂×C₄×D₄	—	89	1	no	—
805	C₂×#117	—	89	1	no	—
806	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
807	C₂²×C₄⋊C₄	—	89	1	no	—
808	C₂²×C₄⋊C₄	—	89	1	no	—
809	C₂²×C₄²	—	89	1	no	—
810	#400	—	89	1	no	—
811	#400	—	89	1	no	—
812	#400	—	89	1	no	—
813	#400	—	89	1	no	—
814	#400	—	89	1	no	—
815	#400	—	89	1	no	—
816	#400	—	89	1	no	—
817	#400	C₂×D₈₉	1	1	yes	characteristic
818	#399	—	89	1	no	—
819	#399	—	89	1	no	—
820	#399	—	89	1	no	—
821	#399	—	89	1	no	—
822	#399	—	89	1	no	—
823	#399	C₂×D₈₉	1	1	yes	characteristic
824	#398	—	89	1	no	—
825	#398	—	89	1	no	—
826	#398	—	89	1	no	—
827	#398	—	89	1	no	—
828	#398	—	89	1	no	—
829	#398	—	89	1	no	—
830	#398	—	89	1	no	—
831	#398	—	89	1	no	—
832	#398	—	89	1	no	—
833	#398	—	89	1	no	—
834	#398	—	89	1	no	—
835	#398	C₂×D₈₉	1	1	yes	characteristic
836	#397	—	89	1	no	—
837	#397	—	89	1	no	—
838	#397	—	89	1	no	—
839	#397	—	89	1	no	—
840	#397	—	89	1	no	—
841	#397	C₂×D₈₉	1	1	yes	characteristic
842	#396	—	89	1	no	—
843	#396	—	89	1	no	—
844	#396	—	89	1	no	—
845	#396	—	89	1	no	—
846	#395	—	89	1	no	—
847	#395	—	89	1	no	—
848	#395	—	89	1	no	—
849	#395	—	89	1	no	—
850	#395	—	89	1	no	—
851	#395	—	89	1	no	—
852	#394	—	89	1	no	—
853	#394	—	89	1	no	—
854	#393	—	89	1	no	—
855	#393	—	89	1	no	—
856	#393	—	89	1	no	—
857	#393	—	89	1	no	—
858	#391	—	89	1	no	—
859	#391	—	89	1	no	—
860	#391	—	89	1	no	—
861	#391	—	89	1	no	—
862	#391	—	89	1	no	—
863	#390	—	89	1	no	—
864	#389	—	89	1	no	—
865	#389	—	89	1	no	—
866	#389	—	89	1	no	—
867	#389	—	89	1	no	—
868	#389	—	89	1	no	—
869	#389	—	89	1	no	—
870	#388	—	89	1	no	—
871	#388	—	89	1	no	—
872	#388	—	89	1	no	—
873	#388	—	89	1	no	—
874	#388	—	89	1	no	—
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	C₂×D₈₉	1	1	yes	characteristic
881	#388	C₂×D₈₉	1	1	yes	characteristic
882	#387	—	89	1	no	—
883	#387	—	89	1	no	—
884	#387	—	89	1	no	—
885	#387	—	89	1	no	—
886	#387	—	89	1	no	—
887	#387	—	89	1	no	—
888	#387	—	89	1	no	—
889	#387	—	89	1	no	—
890	#387	—	89	1	no	—
891	#387	—	89	1	no	—
892	#387	—	89	1	no	—
893	#387	—	89	1	no	—
894	#387	—	89	1	no	—
895	#387	—	89	1	no	—
896	#387	—	89	1	no	—
897	#387	—	89	1	no	—
898	#387	—	89	1	no	—
899	#387	—	89	1	no	—
900	#387	C₂×D₈₉	1	1	yes	characteristic
901	#387	C₂×D₈₉	1	1	yes	characteristic
902	#386	—	89	1	no	—
903	#386	—	89	1	no	—
904	#386	—	89	1	no	—
905	#386	—	89	1	no	—
906	#386	—	89	1	no	—
907	#386	—	89	1	no	—
908	#386	C₂×D₈₉	1	1	yes	characteristic
909	#386	C₂×D₈₉	1	1	yes	characteristic
910	#385	—	89	1	no	—
911	#385	—	89	1	no	—
912	#385	—	89	1	no	—
913	#385	—	89	1	no	—
914	#384	—	89	1	no	—
915	#382	—	89	1	no	—
916	#380	—	89	1	no	—
917	#380	—	89	1	no	—
918	#380	—	89	1	no	—
919	#380	—	89	1	no	—
920	#380	—	89	1	no	—
921	#380	—	89	1	no	—
922	#380	—	89	1	no	—
923	#380	—	89	1	no	—
924	#380	C₂×D₈₉	1	1	yes	characteristic
925	#380	C₂×D₈₉	1	1	yes	characteristic
926	C₂×#95	—	89	1	no	—
927	C₂×#95	—	89	1	no	—
928	C₂×#95	—	89	1	no	—
929	C₂×#95	C₂×D₈₉	1	1	yes	characteristic
930	C₂²×Q₈	—	89	1	no	—
931	C₂²×Q₈	—	89	1	no	—
932	C₂²×Q₈	—	89	1	no	—
933	C₂²×Q₈	—	89	1	no	—
934	C₂²×Q₈	—	89	1	no	—
935	C₂²×D₄	—	89	1	no	—
936	C₂²×D₄	—	89	1	no	—
937	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
938	C₂³×C₄	—	89	1	no	—
939	C₂³×C₄	—	89	1	no	—
940	C₂³×C₄	—	89	1	no	—
941	C₂³×C₄	—	89	1	no	—
942	C₂³×C₄	—	89	1	no	—
943	C₂³×C₄	—	89	1	no	—
944	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
945	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
946	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
947	C₄⋊Q₈	—	356	2	no	—
948	C₄⋊Q₈	—	178	4	no	—
949	C₄⋊Q₈	—	178	4	no	—
950	C₄⋊Q₈	—	178	4	no	—
951	C₄⋊Q₈	—	178	4	no	—
952	#126	—	178	4	no	—
953	#126	—	178	4	no	—
954	#125	—	178	4	no	—
955	#125	—	178	4	no	—
956	#125	—	178	4	no	—
957	#125	—	178	4	no	—
958	#125	—	178	4	no	—
959	#125	—	178	4	no	—
960	#124	—	356	2	no	—
961	#123	—	2	4	no	—
962	#123	—	178	4	no	—
963	#123	—	178	4	no	—
964	#123	—	178	4	no	—
965	C₂²⋊Q₈	—	356	2	no	—
966	C₂²⋊Q₈	—	356	2	no	—
967	C₂²⋊Q₈	—	178	4	no	—
968	C₂²⋊Q₈	—	178	4	no	—
969	C₂²⋊Q₈	—	178	4	no	—
970	C₂²⋊Q₈	—	178	4	no	—
971	C₂²⋊Q₈	—	178	4	no	—
972	C₂²⋊Q₈	—	178	4	no	—
973	C₂²⋊Q₈	—	178	4	no	—
974	#121	—	178	4	no	—
975	C₄×D₄	—	178	4	no	—
976	C₄×D₄	—	178	4	no	—
977	#117	—	2	4	no	—
978	#117	—	178	4	no	—
979	C₂×C₄⋊C₄	—	89	8	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	—	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	—	89	1	no	—
1021	C₂×C₄⋊C₄	—	89	1	no	—
1022	C₂×C₄⋊C₄	—	356	2	no	—
1023	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	—	89	1	no	—
1032	C₂×C₂²⋊C₄	—	89	1	no	—
1033	C₂×C₂²⋊C₄	—	89	1	no	—
1034	C₂×C₂²⋊C₄	—	89	1	no	—
1035	C₂×C₂²⋊C₄	—	89	1	no	—
1036	C₂×C₂²⋊C₄	—	89	1	no	—
1037	C₂×C₂²⋊C₄	—	89	1	no	—
1038	C₂×C₂²⋊C₄	—	89	1	no	—
1039	C₂×C₂²⋊C₄	—	89	1	no	—
1040	C₂×C₂²⋊C₄	—	89	1	no	—
1041	C₂×C₂²⋊C₄	—	89	1	no	—
1042	C₂×C₂²⋊C₄	—	89	1	no	—
1043	C₂×C₂²⋊C₄	—	89	1	no	—
1044	C₂×C₂²⋊C₄	—	89	1	no	—
1045	C₂×C₂²⋊C₄	—	89	1	no	—
1046	C₂×C₂²⋊C₄	—	89	1	no	—
1047	C₂×C₂²⋊C₄	—	89	1	no	—
1048	C₂×C₂²⋊C₄	—	89	1	no	—
1049	C₂×C₂²⋊C₄	—	89	1	no	—
1050	C₂×C₂²⋊C₄	—	89	1	no	—
1051	C₂×C₂²⋊C₄	—	89	1	no	—
1052	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1061	C₂×C₄²	—	89	1	no	—
1062	C₂×C₄²	—	89	1	no	—
1063	C₂×C₄²	—	89	1	no	—
1064	C₂×C₄²	—	89	1	no	—
1065	C₂×C₄²	—	89	1	no	—
1066	C₂×C₄²	—	89	1	no	—
1067	C₂×C₄²	—	89	1	no	—
1068	C₂×C₄²	—	89	1	no	—
1069	C₂×C₄²	—	356	2	no	—
1070	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1071	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
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	—	89	1	no	—
1092	#95	—	89	1	no	—
1093	#95	—	89	1	no	—
1094	#95	—	89	1	no	—
1095	#95	—	89	1	no	—
1096	#95	—	89	1	no	—
1097	#95	—	89	1	no	—
1098	#95	—	89	1	no	—
1099	#95	—	89	1	no	—
1100	#95	—	89	1	no	—
1101	#95	—	89	1	no	—
1102	#95	—	89	1	no	—
1103	#95	—	89	1	no	—
1104	#95	—	89	1	no	—
1105	#95	—	89	1	no	—
1106	#95	—	89	1	no	—
1107	#95	—	89	1	no	—
1108	#95	C₂²×D₈₉	1	1	yes	characteristic
1109	#95	C₂²×D₈₉	1	1	yes	characteristic
1110	#95	C₂²×D₈₉	1	1	yes	characteristic
1111	#95	C₂²×D₈₉	1	1	yes	characteristic
1112	#95	C₂²×D₈₉	1	1	yes	characteristic
1113	#95	C₂²×D₈₉	1	1	yes	characteristic
1114	#95	C₂²×D₈₉	1	1	yes	characteristic
1115	#95	C₂²×D₈₉	1	1	yes	characteristic
1116	#95	C₂²×D₈₉	1	1	yes	characteristic
1117	#95	C₂²×D₈₉	1	1	yes	characteristic
1118	#95	C₂²×D₈₉	1	1	yes	characteristic
1119	#95	C₂²×D₈₉	1	1	yes	characteristic
1120	C₂⁴	—	89	1	no	—
1121	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1122	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1123	C₂×Q₈	—	356	1	no	—
1124	C₂×Q₈	—	356	1	no	—
1125	C₂×Q₈	—	356	1	no	—
1126	C₂×Q₈	—	356	1	no	—
1127	C₂×Q₈	—	356	1	no	—
1128	C₂×Q₈	—	356	1	no	—
1129	C₂×Q₈	—	356	1	no	—
1130	C₂×Q₈	—	356	1	no	—
1131	C₂×Q₈	—	356	1	no	—
1132	C₂×Q₈	—	356	1	no	—
1133	C₂×Q₈	—	178	2	no	—
1134	C₂×Q₈	—	178	2	no	—
1135	C₂×Q₈	—	178	2	no	—
1136	C₂×Q₈	—	178	2	no	—
1137	C₂×Q₈	—	178	2	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	2	no	—
1141	C₂×D₄	—	356	1	no	—
1142	C₂×D₄	—	356	1	no	—
1143	C₂×D₄	—	178	2	no	—
1144	C₂×D₄	—	178	2	no	—
1145	C₂×D₄	—	178	2	no	—
1146	C₂×D₄	—	178	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	89	4	no	—
1156	C₂²×C₄	—	89	4	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	1	no	—
1163	C₂²×C₄	—	89	1	no	—
1164	C₂²×C₄	—	89	1	no	—
1165	C₂²×C₄	—	89	1	no	—
1166	C₂²×C₄	—	89	1	no	—
1167	C₂²×C₄	—	89	1	no	—
1168	C₂²×C₄	—	89	1	no	—
1169	C₂²×C₄	—	89	1	no	—
1170	C₂²×C₄	—	89	1	no	—
1171	C₂²×C₄	—	89	1	no	—
1172	C₂²×C₄	—	356	1	no	—
1173	C₂²×C₄	—	356	1	no	—
1174	C₂²×C₄	—	356	1	no	—
1175	C₂²×C₄	—	356	1	no	—
1176	C₂²×C₄	—	356	1	no	—
1177	C₂²×C₄	—	356	1	no	—
1178	C₂²×C₄	—	356	1	no	—
1179	C₂²×C₄	—	356	1	no	—
1180	C₂²×C₄	—	356	1	no	—
1181	C₂²×C₄	—	356	1	no	—
1182	C₂²×C₄	—	356	1	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	D₄×D₈₉	1	4	yes	—
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	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
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	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	89	4	no	—
1211	C₄⋊C₄	—	89	4	no	—
1212	C₄⋊C₄	—	89	4	no	—
1213	C₄⋊C₄	—	89	4	no	—
1214	C₄⋊C₄	—	356	1	no	—
1215	C₄⋊C₄	—	356	1	no	—
1216	C₄⋊C₄	—	356	1	no	—
1217	C₄⋊C₄	—	356	1	no	—
1218	C₄⋊C₄	—	356	1	no	—
1219	C₄⋊C₄	—	356	1	no	—
1220	C₄⋊C₄	—	356	1	no	—
1221	C₄⋊C₄	—	356	1	no	—
1222	C₄⋊C₄	—	356	1	no	—
1223	C₄⋊C₄	—	356	1	no	—
1224	C₄⋊C₄	—	356	1	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	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	356	1	no	—
1262	C₂²⋊C₄	—	356	1	no	—
1263	C₂²⋊C₄	—	356	1	no	—
1264	C₂²⋊C₄	—	356	1	no	—
1265	C₂²⋊C₄	—	356	1	no	—
1266	C₂²⋊C₄	—	356	1	no	—
1267	C₂²⋊C₄	—	356	1	no	—
1268	C₂²⋊C₄	—	356	1	no	—
1269	C₂²⋊C₄	—	356	1	no	—
1270	C₂²⋊C₄	—	178	2	no	—
1271	C₂²⋊C₄	—	178	2	no	—
1272	C₂²⋊C₄	—	178	2	no	—
1273	C₂²⋊C₄	—	178	2	no	—
1274	C₂²⋊C₄	—	178	2	no	—
1275	C₂²⋊C₄	—	178	2	no	—
1276	C₂²⋊C₄	—	178	2	no	—
1277	C₂²⋊C₄	—	178	2	no	—
1278	C₂²⋊C₄	—	178	2	no	—
1279	C₂²⋊C₄	—	178	2	no	—
1280	C₂²⋊C₄	—	178	2	no	—
1281	C₂²⋊C₄	—	178	2	no	—
1282	C₄²	—	2	2	no	—
1283	C₄²	—	2	2	no	—
1284	C₄²	—	356	1	no	—
1285	C₄²	—	356	1	no	—
1286	C₄²	—	178	2	no	—
1287	C₄²	—	178	2	no	—
1288	C₄²	—	178	2	no	—
1289	C₄²	—	178	2	no	—
1290	C₄²	—	178	2	no	—
1291	C₄²	—	178	2	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	178	1	no	—
1304	C₂³	—	178	1	no	—
1305	C₂³	—	178	1	no	—
1306	C₂³	—	178	1	no	—
1307	C₂³	—	178	1	no	—
1308	C₂³	—	178	1	no	—
1309	C₂³	—	178	1	no	—
1310	C₂³	C₂×D₄×D₈₉	1	2	yes	—
1311	C₂³	#15668059	1	2	yes	—
1312	C₂³	#15668059	1	2	yes	—
1313	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1314	Q₈	—	712	2	no	—
1315	Q₈	—	712	2	no	—
1316	Q₈	—	712	2	no	—
1317	Q₈	—	712	2	no	—
1318	Q₈	—	712	2	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	356	4	no	—
1321	D₄	—	712	2	no	—
1322	C₂×C₄	—	2	8	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
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	—	4	4	no	—
1360	C₂×C₄	—	8	2	no	—
1361	C₂×C₄	—	89	2	no	—
1362	C₂×C₄	—	89	2	no	—
1363	C₂×C₄	—	89	2	no	—
1364	C₂×C₄	—	89	2	no	—
1365	C₂×C₄	—	89	2	no	—
1366	C₂×C₄	—	356	4	no	—
1367	C₂×C₄	—	356	4	no	—
1368	C₂×C₄	—	356	4	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	—	178	1	no	—
1383	C₂×C₄	—	178	1	no	—
1384	C₂×C₄	—	178	1	no	—
1385	C₂×C₄	—	178	1	no	—
1386	C₂×C₄	—	178	1	no	—
1387	C₂×C₄	—	178	1	no	—
1388	C₂×C₄	—	178	1	no	—
1389	C₂×C₄	—	178	1	no	—
1390	C₂×C₄	—	178	1	no	—
1391	C₂×C₄	—	178	1	no	—
1392	C₂×C₄	—	178	1	no	—
1393	C₂×C₄	—	178	1	no	—
1394	C₂×C₄	—	178	1	no	—
1395	C₂×C₄	—	178	1	no	—
1396	C₂×C₄	—	178	1	no	—
1397	C₂×C₄	—	178	1	no	—
1398	C₂×C₄	—	178	1	no	—
1399	C₂×C₄	—	178	1	no	—
1400	C₂×C₄	—	178	1	no	—
1401	C₂×C₄	—	178	1	no	—
1402	C₂×C₄	—	178	1	no	—
1403	C₂×C₄	—	178	1	no	—
1404	C₂×C₄	—	178	1	no	—
1405	C₂×C₄	—	178	1	no	—
1406	C₂×C₄	—	178	1	no	—
1407	C₂×C₄	—	178	1	no	—
1408	C₂×C₄	—	178	1	no	—
1409	C₂×C₄	—	712	2	no	—
1410	C₂×C₄	—	712	2	no	—
1411	C₂×C₄	—	712	2	no	—
1412	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1413	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1414	C₂×C₄	#15668059	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	356	1	no	—
1429	C₂²	—	356	1	no	—
1430	C₂²	—	356	1	no	—
1431	C₂²	—	356	1	no	—
1432	C₂²	—	356	1	no	—
1433	C₂²	—	356	1	no	—
1434	C₂²	—	356	1	no	—
1435	C₂²	#19152170	1	4	yes	—
1436	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1437	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1438	C₂²	C₂×#15668059	1	1	yes	characteristic
1439	C₂²	C₂×#15668059	1	1	yes	characteristic
1440	C₂²	C₂×#15668059	1	1	yes	characteristic
1441	C₂²	#19152434	1	1	yes	characteristic
1442	C₂²	#19152435	1	1	yes	characteristic
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	4	1	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	356	1	no	—
1457	C₄	—	356	1	no	—
1458	C₄	—	356	1	no	—
1459	C₄	—	356	1	no	—
1460	C₄	—	356	1	no	—
1461	C₄	—	356	1	no	—
1462	C₄	—	356	1	no	—
1463	C₄	—	356	1	no	—
1464	C₄	—	356	1	no	—
1465	C₄	—	356	1	no	—
1466	C₄	—	178	2	no	—
1467	C₄	—	178	2	no	—
1468	C₄	—	178	2	no	—
1469	C₄	—	178	2	no	—
1470	C₄	—	178	2	no	—
1471	C₂	—	2	4	no	—
1472	C₂	—	8	1	no	—
1473	C₂	—	712	1	no	—
1474	C₂	C₂×#19152170	1	1	yes	characteristic
1475	C₂	#26034015	1	1	yes	characteristic
1476	C₂	#26034018	1	1	yes	characteristic
1477	C₂	#26034448	1	1	yes	characteristic
1478	C₂	#26034492	1	1	yes	characteristic
1479	C₂	#26034853	1	1	yes	characteristic
1480	C₂	#26034872	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2498	C₂
prime radical	C₂×#15667984	C₂²
hypercenter	#2498	D₈₉
hypocenter	C₈₉	#36742
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2498

Complements

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

N	H ≅ G/N	type
1. C₂×#19152226	C₂	semidirect
3. #26028602	C₂	semidirect
5. #26027154	C₂	semidirect
6. #26027148	C₂	semidirect
7. #26027124	C₂	semidirect
8. #26027118	C₂	semidirect
9. #26027085	C₂	semidirect
10. #26027079	C₂	semidirect
11. #26027040	C₂	semidirect
12. #26027034	C₂	semidirect
13. #26026779	C₂	semidirect
14. #26026773	C₂	semidirect
15. #26026725	C₂	semidirect
16. #26026719	C₂	semidirect
17. #26026569	C₂	semidirect
18. #26026564	C₂	semidirect
19. #26026539	C₂	semidirect
20. #26026530	C₂	semidirect
21. #26026369	C₂	semidirect
23. #26025436	C₂	semidirect
24. #26025430	C₂	semidirect
25. #26024698	C₂	semidirect
26. #26024696	C₂	semidirect
27. #26024690	C₂	semidirect
28. #26023702	C₂	semidirect
29. #26023700	C₂	semidirect
30. C₂×#19151481	C₂	semidirect
31. C₈₉×#2498	C₂	semidirect
768. #2498	D₈₉	semidirect
772. C₈₉	#36742	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152226	2
C₂×#19152192	2
#26028602	2
#26028549	2
#26027154	2
#26027148	2
#26027124	2
#26027118	2
#26027085	2
#26027079	2
#26027040	2
#26027034	2
#26026779	2
#26026773	2
#26026725	2
#26026719	2
#26026569	2
#26026564	2
#26026539	2
#26026530	2
#26026369	2
#26026182	2
#26025436	2
#26025430	2
#26024698	2
#26024696	2
#26024690	2
#26023702	2
#26023700	2
C₂×#19151481	2
C₈₉×#2498	2
#36742	89