Subgroups — #36762175

Order 22784.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028601	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028587	C₂	1	1	yes	maximal, characteristic, complemented
3	#26028173	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028046	C₂	1	1	yes	maximal, characteristic, complemented
5	#26028028	C₂	1	1	yes	maximal, characteristic, complemented
6	#26028005	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027948	C₂	1	1	yes	maximal, characteristic
8	#26027903	C₂	1	1	yes	maximal, characteristic
9	#26027804	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027731	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027284	C₂	1	1	yes	maximal, characteristic, complemented
12	#26027241	C₂	1	1	yes	maximal, characteristic, complemented
13	#26027240	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026916	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026909	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026743	C₂	1	1	yes	maximal, characteristic
17	#26026623	C₂	1	1	yes	maximal, characteristic
18	#26026566	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026450	C₂	1	1	yes	maximal, characteristic, complemented
20	#26026428	C₂	1	1	yes	maximal, characteristic, complemented
21	#26025921	C₂	1	1	yes	maximal, characteristic, complemented
22	#26025909	C₂	1	1	yes	maximal, characteristic, complemented
23	#26025900	C₂	1	1	yes	maximal, characteristic, complemented
24	#26025274	C₂	1	1	yes	maximal, characteristic, complemented
25	#26025262	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023940	C₂	1	1	yes	maximal, characteristic, complemented
27	#26023927	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022896	C₂	1	1	yes	maximal, characteristic
29	#26022888	C₂	1	1	yes	maximal, characteristic
30	#26022696	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2612	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#15668011	C₂²	1	1	yes	characteristic
33	C₂×#15668010	C₂²	1	1	yes	characteristic
34	C₂×#15668010	C₂²	1	1	yes	characteristic
35	C₂×#15668003	C₂²	1	1	yes	characteristic
36	C₂×#15667992	C₂²	1	1	yes	characteristic
37	C₂×#15667992	C₂²	1	1	yes	characteristic
38	C₂×#15667990	C₂²	1	1	yes	characteristic
39	C₂×#15667990	C₂²	1	1	yes	characteristic
40	C₂×#15667990	C₂²	1	1	yes	characteristic
41	C₂×#15667988	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic
43	C₂×#15667969	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
45	#19151540	C₂²	1	1	yes	characteristic
46	#19151540	C₂²	1	1	yes	characteristic
47	#19151539	C₂²	1	1	yes	characteristic
48	#19151539	C₂²	1	1	yes	characteristic
49	#19151536	C₂²	1	1	yes	characteristic
50	#19151533	C₂²	1	1	yes	characteristic
51	#19151533	C₂²	1	1	yes	characteristic
52	#19151532	C₂²	1	1	yes	characteristic
53	#19151532	C₂²	1	1	yes	characteristic
54	#19151532	C₂²	1	1	yes	characteristic
55	#19151532	C₂²	1	1	yes	characteristic
56	#19151531	C₂²	1	1	yes	characteristic
57	#19151531	C₂²	1	1	yes	characteristic
58	#19151531	C₂²	1	1	yes	characteristic
59	#19151530	C₂²	1	1	yes	characteristic
60	#19151530	C₂²	1	1	yes	characteristic
61	#19151529	C₂²	1	1	yes	characteristic
62	#19151529	C₂²	1	1	yes	characteristic
63	#19151529	C₂²	1	1	yes	characteristic
64	#19151528	C₂²	1	1	yes	characteristic
65	#19151528	C₂²	1	1	yes	characteristic
66	#19151522	C₂²	1	1	yes	characteristic
67	#19151522	C₂²	1	1	yes	characteristic
68	#19151522	C₂²	1	1	yes	characteristic
69	#19151520	C₂²	1	1	yes	characteristic
70	#19151520	C₂²	1	1	yes	characteristic
71	#19151520	C₂²	1	1	yes	characteristic
72	#19151520	C₂²	1	1	yes	characteristic
73	#19151520	C₂²	1	1	yes	characteristic
74	#19151520	C₂²	1	1	yes	characteristic
75	#19151520	C₂²	1	1	yes	characteristic
76	#19151519	C₂²	1	1	yes	characteristic
77	#19151519	C₂²	1	1	yes	characteristic
78	#19151519	C₂²	1	1	yes	characteristic
79	#19151519	C₂²	1	1	yes	characteristic
80	#19151519	C₂²	1	1	yes	characteristic
81	#19151519	C₂²	1	1	yes	characteristic
82	#19151518	C₂²	1	1	yes	characteristic
83	#19151518	C₂²	1	1	yes	characteristic
84	#19151518	C₂²	1	1	yes	characteristic
85	#19151511	C₂²	1	1	yes	characteristic
86	#19151511	C₂²	1	1	yes	characteristic
87	#19151511	C₂²	1	1	yes	characteristic
88	#19151509	C₂²	1	1	yes	characteristic
89	#19151504	C₂²	1	1	yes	characteristic
90	#19151504	C₂²	1	1	yes	characteristic
91	#19151502	C₂²	1	1	yes	characteristic
92	#19151502	C₂²	1	1	yes	characteristic
93	#19151502	C₂²	1	1	yes	characteristic
94	#19151502	C₂²	1	1	yes	characteristic
95	#19151502	C₂²	1	1	yes	characteristic
96	#19151500	C₂²	1	1	yes	characteristic
97	#19151500	C₂²	1	1	yes	characteristic
98	#19151496	C₂²	1	1	yes	characteristic
99	#19151496	C₂²	1	1	yes	characteristic
100	#19151496	C₂²	1	1	yes	characteristic
101	#19151496	C₂²	1	1	yes	characteristic
102	#19151495	C₂²	1	1	yes	characteristic
103	#19151495	C₂²	1	1	yes	characteristic
104	#19151495	C₂²	1	1	yes	characteristic
105	#19151495	C₂²	1	1	yes	characteristic
106	#19151495	C₂²	1	1	yes	characteristic
107	#19151495	C₂²	1	1	yes	characteristic
108	#19151495	C₂²	1	1	yes	characteristic
109	#19151494	C₂²	1	1	yes	characteristic
110	#19151494	C₂²	1	1	yes	characteristic
111	#19151494	C₂²	1	1	yes	characteristic
112	#19151493	C₂²	1	1	yes	characteristic
113	#19151493	C₂²	1	1	yes	characteristic
114	#19151493	C₂²	1	1	yes	characteristic
115	#19151490	C₂²	1	1	yes	characteristic
116	#19151490	C₂²	1	1	yes	characteristic
117	#19151488	C₂²	1	1	yes	characteristic
118	#19151488	C₂²	1	1	yes	characteristic
119	#19151487	C₂²	1	1	yes	characteristic
120	#19151487	C₂²	1	1	yes	characteristic
121	#19151487	C₂²	1	1	yes	characteristic
122	#19151487	C₂²	1	1	yes	characteristic
123	#19151485	C₂²	1	1	yes	characteristic
124	#19151485	C₂²	1	1	yes	characteristic
125	#19151483	C₂²	1	1	yes	characteristic
126	#19151483	C₂²	1	1	yes	characteristic
127	#19151483	C₂²	1	1	yes	characteristic
128	#19151483	C₂²	1	1	yes	characteristic
129	#19151483	C₂²	1	1	yes	characteristic
130	#19151483	C₂²	1	1	yes	characteristic
131	#19151482	C₂²	1	1	yes	characteristic
132	#19151482	C₂²	1	1	yes	characteristic
133	#19151482	C₂²	1	1	yes	characteristic
134	#19151482	C₂²	1	1	yes	characteristic
135	#19151481	C₂²	1	1	yes	characteristic
136	#19151481	C₂²	1	1	yes	characteristic
137	#19151480	C₂²	1	1	yes	characteristic
138	#19151479	C₂²	1	1	yes	characteristic
139	#19151476	C₂²	1	1	yes	characteristic
140	#19151476	C₂²	1	1	yes	characteristic
141	#19151476	C₂²	1	1	yes	characteristic
142	#19151476	C₂²	1	1	yes	characteristic
143	#19151472	C₂²	1	1	yes	characteristic
144	#19151472	C₂²	1	1	yes	characteristic
145	#19151472	C₂²	1	1	yes	characteristic
146	#19151472	C₂²	1	1	yes	characteristic
147	#19151472	C₂²	1	1	yes	characteristic
148	#19151469	C₂²	1	1	yes	characteristic
149	#19151469	C₂²	1	1	yes	characteristic
150	#19151469	C₂²	1	1	yes	characteristic
151	#19151469	C₂²	1	1	yes	characteristic
152	#19151469	C₂²	1	1	yes	characteristic
153	#19151467	C₂²	1	1	yes	characteristic
154	#19151466	C₂²	1	1	yes	characteristic
155	#19151462	C₂²	1	1	yes	characteristic
156	#19151460	C₂²	1	1	yes	characteristic
157	#19151460	C₂²	1	1	yes	characteristic
158	#19151460	C₂²	1	1	yes	characteristic
159	#19151457	C₂²	1	1	yes	characteristic
160	#19151457	C₂²	1	1	yes	characteristic
161	#19151457	C₂²	1	1	yes	characteristic
162	#19151457	C₂²	1	1	yes	characteristic
163	#19151457	C₂²	1	1	yes	characteristic
164	#19151457	C₂²	1	1	yes	characteristic
165	#19151455	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
167	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
168	C₄×#13083551	C₂²	1	1	yes	characteristic
169	C₄×#13083551	C₂²	1	1	yes	characteristic
170	#19151445	C₂²	1	1	yes	characteristic
171	#95×D₈₉	C₂²	1	1	yes	characteristic
172	#400×C₈₉	C₂²	1	1	yes	characteristic
173	#398×C₈₉	C₂²	1	1	yes	characteristic
174	#398×C₈₉	C₂²	1	1	yes	characteristic
175	#395×C₈₉	C₂²	1	1	yes	characteristic
176	#391×C₈₉	C₂²	1	1	yes	characteristic
177	#391×C₈₉	C₂²	1	1	yes	characteristic
178	#389×C₈₉	C₂²	1	1	yes	characteristic
179	#389×C₈₉	C₂²	1	1	yes	characteristic
180	#387×C₈₉	C₂²	1	1	yes	characteristic
181	#387×C₈₉	C₂²	1	1	yes	characteristic
182	#387×C₈₉	C₂²	1	1	yes	characteristic
183	#387×C₈₉	C₂²	1	1	yes	characteristic
184	#382×C₈₉	C₂²	1	1	yes	characteristic
185	#376×C₈₉	C₂²	1	1	yes	characteristic
186	#376×C₈₉	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂²×D₃₅₆	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	#15668011	—	4	2	no	—
199	#15668010	—	4	2	no	—
200	#15668010	—	4	2	no	—
201	#15668003	—	4	2	no	—
202	#15667992	—	4	2	no	—
203	#15667992	—	4	2	no	—
204	#15667990	—	4	2	no	—
205	#15667990	—	4	2	no	—
206	#15667990	—	4	2	no	—
207	#15667988	—	4	2	no	—
208	C₄×D₃₅₆	Q₈	1	8	yes	complemented
209	#15667969	—	4	2	no	—
210	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
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×#13083553	C₂³	1	1	yes	characteristic
224	C₂×#13083553	C₂³	1	1	yes	characteristic
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×#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×#13083551	C₂³	1	1	yes	characteristic
252	C₂×#13083551	C₂³	1	1	yes	characteristic
253	C₂×#13083551	C₂³	1	1	yes	characteristic
254	C₂×#13083551	C₂³	1	1	yes	characteristic
255	C₂×#13083551	C₂³	1	1	yes	characteristic
256	C₂×#13083551	C₂³	1	1	yes	characteristic
257	C₂×#13083551	C₂³	1	1	yes	characteristic
258	C₂×#13083551	C₂³	1	1	yes	characteristic
259	C₂×#13083551	C₂³	1	1	yes	characteristic
260	C₂×#13083551	C₂³	1	1	yes	characteristic
261	C₂×#13083551	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
281	C₄²×D₈₉	—	4	2	no	—
282	#15667919	C₂³	1	1	yes	characteristic
283	#15667919	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
337	#95×C₈₉	C₂³	1	1	yes	characteristic
338	#95×C₈₉	C₂³	1	1	yes	characteristic
339	#95×C₈₉	C₂³	1	1	yes	characteristic
340	#95×C₈₉	C₂³	1	1	yes	characteristic
341	#95×C₈₉	C₂³	1	1	yes	characteristic
342	#95×C₈₉	C₂³	1	1	yes	characteristic
343	#95×C₈₉	C₂³	1	1	yes	characteristic
344	#95×C₈₉	C₂³	1	1	yes	characteristic
345	#95×C₈₉	C₂³	1	1	yes	characteristic
346	#95×C₈₉	C₂³	1	1	yes	characteristic
347	#95×C₈₉	C₂³	1	1	yes	characteristic
348	#95×C₈₉	C₂³	1	1	yes	characteristic
349	#95×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
356	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
357	C₂×Dic₁₇₈	—	2	2	no	—
358	C₂×Dic₁₇₈	—	2	2	no	—
359	C₂×Dic₁₇₈	—	4	1	no	—
360	C₂×Dic₁₇₈	—	4	1	no	—
361	C₂×Dic₁₇₈	—	4	1	no	—
362	C₂×Dic₁₇₈	—	4	1	no	—
363	C₂×Dic₁₇₈	—	4	1	no	—
364	C₂×Dic₁₇₈	—	4	1	no	—
365	C₂×Dic₁₇₈	—	4	1	no	—
366	C₂×Dic₁₇₈	—	4	1	no	—
367	C₂×Dic₁₇₈	—	4	1	no	—
368	C₂×Dic₁₇₈	—	4	1	no	—
369	C₂×D₃₅₆	—	4	1	no	—
370	C₂×D₃₅₆	—	4	1	no	—
371	C₂×D₃₅₆	C₂×Q₈	1	4	yes	—
372	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×D₈₉	—	2	2	no	—
387	C₂×C₄×D₈₉	—	2	2	no	—
388	C₂×C₄×D₈₉	—	2	2	no	—
389	C₂×C₄×D₈₉	—	4	1	no	—
390	C₂×C₄×D₈₉	—	4	1	no	—
391	C₂×C₄×D₈₉	—	4	1	no	—
392	C₂×C₄×D₈₉	—	4	1	no	—
393	C₂×C₄×D₈₉	—	4	1	no	—
394	C₂×C₄×D₈₉	—	4	1	no	—
395	C₂×C₄×D₈₉	—	4	1	no	—
396	C₂×C₄×D₈₉	—	4	1	no	—
397	C₂×C₄×D₈₉	—	4	1	no	—
398	C₂×C₄×D₈₉	—	4	1	no	—
399	C₂×C₄×D₈₉	—	4	1	no	—
400	C₂×C₄×D₈₉	—	4	1	no	—
401	C₂×C₄×D₈₉	—	4	1	no	—
402	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
403	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
404	C₄⋊Dic₈₉	—	2	2	no	—
405	C₄⋊Dic₈₉	—	2	2	no	—
406	C₄⋊Dic₈₉	—	2	2	no	—
407	C₄⋊Dic₈₉	—	2	2	no	—
408	C₄⋊Dic₈₉	—	2	2	no	—
409	C₄⋊Dic₈₉	—	4	1	no	—
410	C₄⋊Dic₈₉	—	4	1	no	—
411	C₄⋊Dic₈₉	—	4	1	no	—
412	C₄⋊Dic₈₉	—	4	1	no	—
413	C₄⋊Dic₈₉	—	4	1	no	—
414	C₄⋊Dic₈₉	—	4	1	no	—
415	C₄⋊Dic₈₉	—	4	1	no	—
416	C₄⋊Dic₈₉	C₂×Q₈	1	4	yes	—
417	#13083553	—	2	2	no	—
418	#13083553	—	2	2	no	—
419	#13083553	—	2	2	no	—
420	#13083553	—	2	2	no	—
421	#13083553	—	2	2	no	—
422	#13083553	—	2	2	no	—
423	#13083553	—	4	1	no	—
424	#13083553	—	4	1	no	—
425	#13083553	—	4	1	no	—
426	#13083553	—	4	1	no	—
427	#13083553	—	4	1	no	—
428	#13083553	—	4	1	no	—
429	#13083553	—	4	1	no	—
430	#13083553	—	4	1	no	—
431	#13083553	—	4	1	no	—
432	#13083553	—	4	1	no	—
433	#13083553	—	4	1	no	—
434	#13083553	—	4	1	no	—
435	#13083553	—	4	1	no	—
436	#13083553	—	4	1	no	—
437	#13083553	—	4	1	no	—
438	#13083553	—	4	1	no	—
439	#13083553	—	4	1	no	—
440	#13083553	—	4	1	no	—
441	#13083553	—	4	1	no	—
442	#13083553	—	4	1	no	—
443	#13083553	—	4	1	no	—
444	#13083553	—	4	1	no	—
445	#13083551	—	2	2	no	—
446	#13083551	—	2	2	no	—
447	#13083551	—	2	2	no	—
448	#13083551	—	4	1	no	—
449	#13083551	—	4	1	no	—
450	#13083551	—	4	1	no	—
451	#13083551	—	4	1	no	—
452	#13083551	—	4	1	no	—
453	#13083551	—	4	1	no	—
454	#13083551	—	4	1	no	—
455	#13083551	—	4	1	no	—
456	#13083551	—	4	1	no	—
457	#13083551	—	4	1	no	—
458	#13083551	—	4	1	no	—
459	#13083551	—	4	1	no	—
460	#13083551	—	4	1	no	—
461	#13083551	—	4	1	no	—
462	#13083551	—	4	1	no	—
463	#13083551	—	4	1	no	—
464	#13083551	—	4	1	no	—
465	#13083551	C₂×Q₈	1	4	yes	—
466	#13083551	C₂×Q₈	1	4	yes	—
467	C₄×Dic₈₉	—	2	2	no	—
468	C₄×Dic₈₉	—	4	1	no	—
469	C₄×Dic₈₉	—	4	1	no	—
470	C₄×Dic₈₉	—	4	1	no	—
471	C₄×Dic₈₉	—	4	1	no	—
472	C₄×Dic₈₉	—	4	1	no	—
473	C₄×Dic₈₉	—	4	1	no	—
474	C₄×Dic₈₉	—	4	1	no	—
475	C₂×Q₈×C₈₉	—	2	2	no	—
476	C₂×Q₈×C₈₉	—	4	1	no	—
477	C₂×Q₈×C₈₉	—	4	1	no	—
478	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
493	C₄⋊C₄×C₈₉	—	2	2	no	—
494	C₄⋊C₄×C₈₉	—	4	1	no	—
495	C₄⋊C₄×C₈₉	—	4	1	no	—
496	C₄⋊C₄×C₈₉	—	4	1	no	—
497	C₄⋊C₄×C₈₉	—	4	1	no	—
498	C₄⋊C₄×C₈₉	—	4	1	no	—
499	C₄⋊C₄×C₈₉	—	4	1	no	—
500	C₄⋊C₄×C₈₉	—	4	1	no	—
501	C₄⋊C₄×C₈₉	—	4	1	no	—
502	C₄⋊C₄×C₈₉	—	4	1	no	—
503	C₄⋊C₄×C₈₉	—	4	1	no	—
504	C₄²×C₈₉	—	2	2	no	—
505	C₄²×C₈₉	—	4	1	no	—
506	C₄²×C₈₉	—	4	1	no	—
507	C₄²×C₈₉	—	4	1	no	—
508	C₄²×C₈₉	C₂×Q₈	1	4	yes	—
509	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
510	C₂²×D₈₉	—	2	1	no	—
511	C₂²×D₈₉	—	2	1	no	—
512	C₂²×D₈₉	—	2	1	no	—
513	C₂²×D₈₉	—	2	1	no	—
514	C₂²×D₈₉	—	2	1	no	—
515	C₂²×D₈₉	—	2	1	no	—
516	C₂²×D₈₉	—	2	1	no	—
517	C₂²×D₈₉	—	2	1	no	—
518	C₂²×D₈₉	—	2	1	no	—
519	C₂²×D₈₉	—	2	1	no	—
520	C₂²×D₈₉	—	2	1	no	—
521	C₂²×D₈₉	—	2	1	no	—
522	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
523	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
524	Q₈×C₈₉	—	8	2	no	—
525	C₂×C₄×C₈₉	—	2	1	no	—
526	C₂×C₄×C₈₉	—	2	1	no	—
527	C₂×C₄×C₈₉	—	2	1	no	—
528	C₂×C₄×C₈₉	—	2	1	no	—
529	C₂×C₄×C₈₉	—	2	1	no	—
530	C₂×C₄×C₈₉	—	2	1	no	—
531	C₂×C₄×C₈₉	—	2	1	no	—
532	C₂×C₄×C₈₉	—	2	1	no	—
533	C₂×C₄×C₈₉	—	2	1	no	—
534	C₂×C₄×C₈₉	—	2	1	no	—
535	C₂×C₄×C₈₉	—	2	1	no	—
536	C₂×C₄×C₈₉	—	2	1	no	—
537	C₂×C₄×C₈₉	—	2	1	no	—
538	C₂×C₄×C₈₉	—	2	1	no	—
539	C₂×C₄×C₈₉	—	2	1	no	—
540	C₂×C₄×C₈₉	—	2	1	no	—
541	C₂×C₄×C₈₉	—	2	1	no	—
542	C₂×C₄×C₈₉	—	2	1	no	—
543	C₂×C₄×C₈₉	—	2	1	no	—
544	C₂×C₄×C₈₉	—	2	1	no	—
545	C₂×C₄×C₈₉	—	2	1	no	—
546	C₂×C₄×C₈₉	—	2	1	no	—
547	C₂×C₄×C₈₉	—	2	1	no	—
548	C₂×C₄×C₈₉	—	2	1	no	—
549	C₂×C₄×C₈₉	—	2	1	no	—
550	C₂×C₄×C₈₉	—	2	1	no	—
551	C₂×C₄×C₈₉	—	2	1	no	—
552	C₂×C₄×C₈₉	—	2	1	no	—
553	C₂×C₄×C₈₉	—	2	1	no	—
554	C₂×C₄×C₈₉	—	2	1	no	—
555	C₂×C₄×C₈₉	—	2	1	no	—
556	C₂×C₄×C₈₉	—	2	1	no	—
557	C₂×C₄×C₈₉	—	2	1	no	—
558	C₂×C₄×C₈₉	—	2	1	no	—
559	C₂×C₄×C₈₉	—	2	1	no	—
560	C₂×C₄×C₈₉	—	2	1	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
567	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
568	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
569	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
570	C₂×Dic₈₉	—	2	1	no	—
571	C₂×Dic₈₉	—	2	1	no	—
572	C₂×Dic₈₉	—	2	1	no	—
573	C₂×Dic₈₉	—	2	1	no	—
574	C₂×Dic₈₉	—	2	1	no	—
575	C₂×Dic₈₉	—	2	1	no	—
576	C₂×Dic₈₉	—	2	1	no	—
577	C₂×Dic₈₉	—	2	1	no	—
578	C₂×Dic₈₉	—	2	1	no	—
579	C₂×Dic₈₉	—	2	1	no	—
580	C₂×Dic₈₉	—	2	1	no	—
581	C₂×Dic₈₉	—	2	1	no	—
582	C₂×Dic₈₉	—	2	1	no	—
583	C₂×Dic₈₉	—	2	1	no	—
584	C₂×Dic₈₉	—	2	1	no	—
585	C₂×Dic₈₉	—	2	1	no	—
586	C₂×Dic₈₉	—	2	1	no	—
587	C₂×Dic₈₉	—	2	1	no	—
588	C₂×Dic₈₉	—	2	1	no	—
589	C₂×Dic₈₉	—	2	1	no	—
590	C₂×Dic₈₉	—	2	1	no	—
591	C₂×Dic₈₉	—	2	1	no	—
592	C₂×Dic₈₉	—	2	1	no	—
593	C₂×Dic₈₉	—	2	1	no	—
594	C₂×Dic₈₉	—	2	1	no	—
595	C₂×Dic₈₉	—	2	1	no	—
596	C₂×Dic₈₉	—	2	1	no	—
597	C₂×Dic₈₉	—	2	1	no	—
598	C₂×Dic₈₉	—	2	1	no	—
599	C₂×Dic₈₉	—	2	1	no	—
600	C₂×Dic₈₉	—	2	1	no	—
601	C₂×Dic₈₉	—	2	1	no	—
602	C₂×Dic₈₉	—	2	1	no	—
603	C₂×Dic₈₉	—	2	1	no	—
604	C₂×Dic₈₉	—	2	1	no	—
605	C₂×Dic₈₉	—	2	1	no	—
606	C₂×Dic₈₉	—	2	1	no	—
607	C₂×Dic₈₉	—	2	1	no	—
608	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
609	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
610	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
611	C₂×Dic₈₉	2₋¹⁺⁴	1	2	yes	—
612	D₃₅₆	—	4	4	no	—
613	C₄×D₈₉	—	4	4	no	—
614	C₄×D₈₉	—	4	4	no	—
615	C₄×D₈₉	—	4	4	no	—
616	C₄×D₈₉	—	4	4	no	—
617	C₄×D₈₉	—	8	2	no	—
618	C₄×D₈₉	—	8	2	no	—
619	Dic₁₇₈	—	8	2	no	—
620	Dic₁₇₈	—	8	2	no	—
621	Dic₁₇₈	—	8	2	no	—
622	Dic₁₇₈	—	8	2	no	—
623	C₂²×C₈₉	C₂³×Q₈	1	1	yes	characteristic
624	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
626	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
627	C₂²×C₈₉	#585	1	1	yes	characteristic
628	C₂²×C₈₉	#585	1	1	yes	characteristic
629	C₂²×C₈₉	#585	1	1	yes	characteristic
630	C₂×D₈₉	—	2	2	no	—
631	C₂×D₈₉	—	2	2	no	—
632	C₂×D₈₉	—	2	2	no	—
633	C₂×D₈₉	—	2	2	no	—
634	C₂×D₈₉	—	2	2	no	—
635	C₂×D₈₉	—	2	2	no	—
636	C₂×D₈₉	—	4	1	no	—
637	C₂×D₈₉	—	4	1	no	—
638	C₂×D₈₉	—	4	1	no	—
639	C₂×D₈₉	—	4	1	no	—
640	C₂×D₈₉	—	4	1	no	—
641	C₂×D₈₉	—	4	1	no	—
642	C₂×D₈₉	—	4	1	no	—
643	C₂×D₈₉	—	4	1	no	—
644	C₄×C₈₉	—	2	2	no	—
645	C₄×C₈₉	—	2	2	no	—
646	C₄×C₈₉	—	2	2	no	—
647	C₄×C₈₉	—	2	2	no	—
648	C₄×C₈₉	—	4	1	no	—
649	C₄×C₈₉	—	4	1	no	—
650	C₄×C₈₉	—	4	1	no	—
651	C₄×C₈₉	—	4	1	no	—
652	C₄×C₈₉	—	4	1	no	—
653	C₄×C₈₉	—	4	1	no	—
654	C₄×C₈₉	—	4	1	no	—
655	C₄×C₈₉	—	4	1	no	—
656	C₄×C₈₉	—	4	1	no	—
657	C₄×C₈₉	—	4	1	no	—
658	C₄×C₈₉	—	4	1	no	—
659	Dic₈₉	—	2	2	no	—
660	Dic₈₉	—	2	2	no	—
661	Dic₈₉	—	2	2	no	—
662	Dic₈₉	—	2	2	no	—
663	Dic₈₉	—	4	1	no	—
664	Dic₈₉	—	4	1	no	—
665	Dic₈₉	—	4	1	no	—
666	Dic₈₉	—	4	1	no	—
667	Dic₈₉	—	4	1	no	—
668	Dic₈₉	—	4	1	no	—
669	Dic₈₉	—	4	1	no	—
670	Dic₈₉	—	4	1	no	—
671	Dic₈₉	—	4	1	no	—
672	Dic₈₉	—	4	1	no	—
673	#36754	—	89	1	no	maximal, Sylow
674	C₂×C₈₉	#3458	1	1	yes	characteristic
675	C₂×C₈₉	#3501	1	1	yes	characteristic
676	C₂×C₈₉	#3503	1	1	yes	characteristic
677	C₂×C₈₉	#3534	1	1	yes	characteristic
678	C₂×C₈₉	#3541	1	1	yes	characteristic
679	C₂×C₈₉	#3551	1	1	yes	characteristic
680	C₂×C₈₉	#3565	1	1	yes	characteristic
681	D₈₉	—	4	2	no	—
682	D₈₉	—	4	2	no	—
683	#2857	—	89	1	no	—
684	#2855	—	89	1	no	—
685	#2802	—	89	1	no	—
686	#2792	—	89	1	no	—
687	#2790	—	89	1	no	—
688	#2788	—	89	1	no	—
689	#2784	—	89	1	no	—
690	#2780	—	89	1	no	—
691	#2774	—	89	1	no	—
692	#2768	—	89	1	no	—
693	#2734	—	89	1	no	—
694	#2729	—	89	1	no	—
695	#2729	—	89	1	no	—
696	#2704	—	89	1	no	—
697	#2704	—	89	1	no	—
698	#2692	—	89	1	no	—
699	#2683	—	89	1	no	—
700	#2677	—	89	1	no	—
701	#2667	—	89	1	no	—
702	#2665	—	89	1	no	—
703	#2612	D₈₉	1	1	yes	characteristic, complemented
704	#2608	—	89	1	no	—
705	#2606	—	89	1	no	—
706	#2605	—	89	1	no	—
707	#2550	—	89	1	no	—
708	#2549	—	89	1	no	—
709	#2439	—	89	1	no	—
710	#2438	—	89	1	no	—
711	#2319	—	89	1	no	—
712	#2318	—	89	1	no	—
713	#2290	—	89	1	no	—
714	C₈₉	#36754	1	1	yes	characteristic, complemented, Sylow
715	C₂×C₄⋊Q₈	—	89	1	no	—
716	C₂×C₄⋊Q₈	—	89	1	no	—
717	C₂×C₄⋊Q₈	—	89	1	no	—
718	C₂×#125	—	89	1	no	—
719	C₂×C₂²⋊Q₈	—	89	1	no	—
720	C₂×C₂²⋊Q₈	—	89	1	no	—
721	C₂×C₂²⋊Q₈	—	89	1	no	—
722	C₂×C₂²⋊Q₈	—	89	1	no	—
723	C₂×C₂²⋊Q₈	—	89	1	no	—
724	C₂×C₂²⋊Q₈	—	89	1	no	—
725	C₂×C₄×D₄	—	89	1	no	—
726	C₂×#117	—	89	1	no	—
727	C₂²×C₄²	—	89	1	no	—
728	#400	—	89	1	no	—
729	#400	—	89	1	no	—
730	#400	—	89	1	no	—
731	#400	—	89	1	no	—
732	#400	—	89	1	no	—
733	#400	C₂×D₈₉	1	1	yes	characteristic
734	#399	—	89	1	no	—
735	#399	—	89	1	no	—
736	#398	—	89	1	no	—
737	#398	—	89	1	no	—
738	#398	—	89	1	no	—
739	#398	—	89	1	no	—
740	#398	—	89	1	no	—
741	#398	—	89	1	no	—
742	#398	—	89	1	no	—
743	#398	—	89	1	no	—
744	#398	—	89	1	no	—
745	#398	—	89	1	no	—
746	#398	—	89	1	no	—
747	#398	—	89	1	no	—
748	#398	—	89	1	no	—
749	#398	—	89	1	no	—
750	#398	C₂×D₈₉	1	1	yes	characteristic
751	#398	C₂×D₈₉	1	1	yes	characteristic
752	#396	—	89	1	no	—
753	#396	—	89	1	no	—
754	#396	—	89	1	no	—
755	#396	—	89	1	no	—
756	#396	—	89	1	no	—
757	#396	—	89	1	no	—
758	#396	—	89	1	no	—
759	#396	—	89	1	no	—
760	#396	—	89	1	no	—
761	#396	—	89	1	no	—
762	#395	—	89	1	no	—
763	#395	—	89	1	no	—
764	#395	—	89	1	no	—
765	#395	—	89	1	no	—
766	#395	—	89	1	no	—
767	#395	—	89	1	no	—
768	#395	—	89	1	no	—
769	#395	—	89	1	no	—
770	#395	—	89	1	no	—
771	#395	C₂×D₈₉	1	1	yes	characteristic
772	#393	—	89	1	no	—
773	#393	—	89	1	no	—
774	#393	—	89	1	no	—
775	#393	—	89	1	no	—
776	#391	—	89	1	no	—
777	#391	—	89	1	no	—
778	#391	—	89	1	no	—
779	#391	—	89	1	no	—
780	#391	—	89	1	no	—
781	#391	—	89	1	no	—
782	#391	—	89	1	no	—
783	#391	C₂×D₈₉	1	1	yes	characteristic
784	#391	C₂×D₈₉	1	1	yes	characteristic
785	#390	—	89	1	no	—
786	#390	—	89	1	no	—
787	#389	—	89	1	no	—
788	#389	—	89	1	no	—
789	#389	—	89	1	no	—
790	#389	—	89	1	no	—
791	#389	—	89	1	no	—
792	#389	—	89	1	no	—
793	#389	—	89	1	no	—
794	#389	—	89	1	no	—
795	#389	—	89	1	no	—
796	#389	—	89	1	no	—
797	#389	—	89	1	no	—
798	#389	—	89	1	no	—
799	#389	—	89	1	no	—
800	#389	—	89	1	no	—
801	#389	—	89	1	no	—
802	#389	—	89	1	no	—
803	#389	—	89	1	no	—
804	#389	C₂×D₈₉	1	1	yes	characteristic
805	#389	C₂×D₈₉	1	1	yes	characteristic
806	#388	—	89	1	no	—
807	#388	—	89	1	no	—
808	#388	—	89	1	no	—
809	#388	—	89	1	no	—
810	#388	—	89	1	no	—
811	#388	—	89	1	no	—
812	#388	—	89	1	no	—
813	#388	—	89	1	no	—
814	#387	—	89	1	no	—
815	#387	—	89	1	no	—
816	#387	—	89	1	no	—
817	#387	—	89	1	no	—
818	#387	—	89	1	no	—
819	#387	—	89	1	no	—
820	#387	—	89	1	no	—
821	#387	—	89	1	no	—
822	#387	—	89	1	no	—
823	#387	—	89	1	no	—
824	#387	—	89	1	no	—
825	#387	—	89	1	no	—
826	#387	—	89	1	no	—
827	#387	—	89	1	no	—
828	#387	—	89	1	no	—
829	#387	—	89	1	no	—
830	#387	C₂×D₈₉	1	1	yes	characteristic
831	#387	C₂×D₈₉	1	1	yes	characteristic
832	#387	C₂×D₈₉	1	1	yes	characteristic
833	#387	C₂×D₈₉	1	1	yes	characteristic
834	#386	—	89	1	no	—
835	#386	—	89	1	no	—
836	#386	—	89	1	no	—
837	#386	—	89	1	no	—
838	#385	—	89	1	no	—
839	#385	—	89	1	no	—
840	#385	—	89	1	no	—
841	#385	—	89	1	no	—
842	#385	—	89	1	no	—
843	#385	—	89	1	no	—
844	#385	—	89	1	no	—
845	#385	—	89	1	no	—
846	#385	—	89	1	no	—
847	#385	—	89	1	no	—
848	#384	—	89	1	no	—
849	#383	—	89	1	no	—
850	#382	—	89	1	no	—
851	#382	C₂×D₈₉	1	1	yes	characteristic
852	#381	—	89	1	no	—
853	#381	—	89	1	no	—
854	#381	—	89	1	no	—
855	#380	—	89	1	no	—
856	#380	—	89	1	no	—
857	#380	—	89	1	no	—
858	#380	—	89	1	no	—
859	#380	—	89	1	no	—
860	#380	—	89	1	no	—
861	#380	—	89	1	no	—
862	C₄×C₄⋊C₄	—	89	1	no	—
863	C₄×C₄⋊C₄	—	89	1	no	—
864	C₄×C₂²⋊C₄	—	89	1	no	—
865	C₄×C₂²⋊C₄	—	89	1	no	—
866	C₄×C₂²⋊C₄	—	89	1	no	—
867	#376	C₂×D₈₉	1	1	yes	characteristic
868	#376	C₂×D₈₉	1	1	yes	characteristic
869	C₂×#95	—	89	1	no	—
870	C₂²×Q₈	—	89	1	no	—
871	C₂²×Q₈	—	89	1	no	—
872	C₂²×Q₈	—	89	1	no	—
873	C₂²×Q₈	—	89	1	no	—
874	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
875	C₂²×D₄	—	89	1	no	—
876	C₂³×C₄	—	89	1	no	—
877	C₂³×C₄	—	89	1	no	—
878	C₂³×C₄	—	89	1	no	—
879	C₂³×C₄	—	89	1	no	—
880	C₂³×C₄	—	89	1	no	—
881	C₂³×C₄	—	89	1	no	—
882	C₄⋊Q₈	—	356	2	no	—
883	C₄⋊Q₈	—	356	2	no	—
884	C₄⋊Q₈	—	356	2	no	—
885	#125	—	356	2	no	—
886	C₂²⋊Q₈	—	356	2	no	—
887	C₂²⋊Q₈	—	356	2	no	—
888	C₂²⋊Q₈	—	356	2	no	—
889	C₂²⋊Q₈	—	356	2	no	—
890	C₂²⋊Q₈	—	356	2	no	—
891	C₂²⋊Q₈	—	356	2	no	—
892	C₄×D₄	—	89	8	no	—
893	#117	—	356	2	no	—
894	C₂×C₄⋊C₄	—	89	1	no	—
895	C₂×C₄⋊C₄	—	89	1	no	—
896	C₂×C₄⋊C₄	—	89	1	no	—
897	C₂×C₄⋊C₄	—	89	1	no	—
898	C₂×C₄⋊C₄	—	89	1	no	—
899	C₂×C₄⋊C₄	—	89	1	no	—
900	C₂×C₄⋊C₄	—	89	1	no	—
901	C₂×C₄⋊C₄	—	89	1	no	—
902	C₂×C₄⋊C₄	—	89	1	no	—
903	C₂×C₄⋊C₄	—	89	1	no	—
904	C₂×C₄⋊C₄	—	89	1	no	—
905	C₂×C₄⋊C₄	—	89	1	no	—
906	C₂×C₄⋊C₄	—	89	1	no	—
907	C₂×C₄⋊C₄	—	89	1	no	—
908	C₂×C₄⋊C₄	—	89	1	no	—
909	C₂×C₄⋊C₄	—	89	1	no	—
910	C₂×C₄⋊C₄	—	89	1	no	—
911	C₂×C₄⋊C₄	—	89	1	no	—
912	C₂×C₄⋊C₄	—	89	1	no	—
913	C₂×C₄⋊C₄	—	89	1	no	—
914	C₂×C₄⋊C₄	—	89	1	no	—
915	C₂×C₄⋊C₄	—	89	1	no	—
916	C₂×C₄⋊C₄	—	89	1	no	—
917	C₂×C₄⋊C₄	—	89	1	no	—
918	C₂×C₄⋊C₄	—	89	1	no	—
919	C₂×C₄⋊C₄	—	89	1	no	—
920	C₂×C₄⋊C₄	—	89	1	no	—
921	C₂×C₄⋊C₄	—	89	1	no	—
922	C₂×C₄⋊C₄	—	89	1	no	—
923	C₂×C₄⋊C₄	—	89	1	no	—
924	C₂×C₄⋊C₄	—	89	1	no	—
925	C₂×C₄⋊C₄	—	89	1	no	—
926	C₂×C₄⋊C₄	—	89	1	no	—
927	C₂×C₄⋊C₄	—	89	1	no	—
928	C₂×C₄⋊C₄	—	89	1	no	—
929	C₂×C₄⋊C₄	—	89	1	no	—
930	C₂×C₄⋊C₄	—	89	1	no	—
931	C₂×C₄⋊C₄	—	89	1	no	—
932	C₂×C₄⋊C₄	—	89	1	no	—
933	C₂×C₄⋊C₄	—	89	1	no	—
934	C₂×C₄⋊C₄	—	89	1	no	—
935	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	—	89	1	no	—
947	C₂×C₂²⋊C₄	—	89	1	no	—
948	C₂×C₂²⋊C₄	—	89	1	no	—
949	C₂×C₂²⋊C₄	—	89	1	no	—
950	C₂×C₂²⋊C₄	—	89	1	no	—
951	C₂×C₂²⋊C₄	—	89	1	no	—
952	C₂×C₂²⋊C₄	—	89	1	no	—
953	C₂×C₂²⋊C₄	—	89	1	no	—
954	C₂×C₂²⋊C₄	—	89	1	no	—
955	C₂×C₂²⋊C₄	—	89	1	no	—
956	C₂×C₂²⋊C₄	—	89	1	no	—
957	C₂×C₂²⋊C₄	—	89	1	no	—
958	C₂×C₂²⋊C₄	—	89	1	no	—
959	C₂×C₂²⋊C₄	—	89	1	no	—
960	C₂×C₂²⋊C₄	—	89	1	no	—
961	C₂×C₂²⋊C₄	—	89	1	no	—
962	C₂×C₂²⋊C₄	—	89	1	no	—
963	C₂×C₂²⋊C₄	—	89	1	no	—
964	C₂×C₂²⋊C₄	—	89	1	no	—
965	C₂×C₂²⋊C₄	—	89	1	no	—
966	C₂×C₂²⋊C₄	—	89	1	no	—
967	C₂×C₂²⋊C₄	—	89	1	no	—
968	C₂×C₄²	—	89	1	no	—
969	C₂×C₄²	—	89	1	no	—
970	C₂×C₄²	—	89	1	no	—
971	C₂×C₄²	—	89	1	no	—
972	C₂×C₄²	—	89	1	no	—
973	C₂×C₄²	—	89	1	no	—
974	C₂×C₄²	—	89	1	no	—
975	C₂×C₄²	—	89	1	no	—
976	C₂×C₄²	—	356	2	no	—
977	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
979	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
980	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
981	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
982	#95	—	89	1	no	—
983	#95	—	89	1	no	—
984	#95	—	89	1	no	—
985	#95	—	89	1	no	—
986	#95	—	89	1	no	—
987	#95	—	89	1	no	—
988	#95	—	89	1	no	—
989	#95	—	89	1	no	—
990	#95	—	89	1	no	—
991	#95	—	89	1	no	—
992	#95	—	89	1	no	—
993	#95	—	89	1	no	—
994	#95	—	89	1	no	—
995	#95	—	89	1	no	—
996	#95	—	89	1	no	—
997	#95	—	89	1	no	—
998	#95	—	89	1	no	—
999	#95	—	89	1	no	—
1000	#95	—	89	1	no	—
1001	#95	—	89	1	no	—
1002	#95	—	89	1	no	—
1003	#95	—	89	1	no	—
1004	#95	—	89	1	no	—
1005	#95	—	89	1	no	—
1006	#95	—	89	1	no	—
1007	#95	—	89	1	no	—
1008	#95	—	89	1	no	—
1009	#95	—	89	1	no	—
1010	#95	—	89	1	no	—
1011	#95	—	89	1	no	—
1012	#95	—	89	1	no	—
1013	#95	—	89	1	no	—
1014	#95	—	89	1	no	—
1015	#95	—	89	1	no	—
1016	#95	—	89	1	no	—
1017	#95	—	89	1	no	—
1018	#95	—	89	1	no	—
1019	#95	—	89	1	no	—
1020	#95	C₂²×D₈₉	1	1	yes	characteristic
1021	#95	C₂²×D₈₉	1	1	yes	characteristic
1022	#95	C₂²×D₈₉	1	1	yes	characteristic
1023	#95	C₂²×D₈₉	1	1	yes	characteristic
1024	#95	C₂²×D₈₉	1	1	yes	characteristic
1025	#95	C₂²×D₈₉	1	1	yes	characteristic
1026	#95	C₂²×D₈₉	1	1	yes	characteristic
1027	#95	C₂²×D₈₉	1	1	yes	characteristic
1028	#95	C₂²×D₈₉	1	1	yes	characteristic
1029	#95	C₂²×D₈₉	1	1	yes	characteristic
1030	#95	C₂²×D₈₉	1	1	yes	characteristic
1031	#95	C₂²×D₈₉	1	1	yes	characteristic
1032	#95	C₂²×D₈₉	1	1	yes	characteristic
1033	#95	C₂²×D₈₉	1	1	yes	characteristic
1034	#95	C₂²×D₈₉	1	1	yes	characteristic
1035	#95	C₂²×D₈₉	1	1	yes	characteristic
1036	#95	C₂²×D₈₉	1	1	yes	characteristic
1037	#95	C₂²×D₈₉	1	1	yes	characteristic
1038	C₂⁴	—	89	1	no	—
1039	C₂⁴	—	89	1	no	—
1040	C₂×Q₈	—	2	2	no	—
1041	C₂×Q₈	—	4	1	no	—
1042	C₂×Q₈	—	4	1	no	—
1043	C₂×Q₈	—	356	1	no	—
1044	C₂×Q₈	—	356	1	no	—
1045	C₂×Q₈	—	356	1	no	—
1046	C₂×Q₈	—	356	1	no	—
1047	C₂×Q₈	—	356	1	no	—
1048	C₂×Q₈	—	356	1	no	—
1049	C₂×Q₈	—	356	1	no	—
1050	C₂×Q₈	—	356	1	no	—
1051	C₂×Q₈	—	356	1	no	—
1052	C₂×Q₈	—	356	1	no	—
1053	C₂×Q₈	—	178	2	no	—
1054	C₂×Q₈	—	178	2	no	—
1055	C₂×D₄	—	89	4	no	—
1056	C₂×D₄	—	356	1	no	—
1057	C₂×D₄	—	356	1	no	—
1058	C₂²×C₄	—	89	1	no	—
1059	C₂²×C₄	—	89	1	no	—
1060	C₂²×C₄	—	89	1	no	—
1061	C₂²×C₄	—	89	1	no	—
1062	C₂²×C₄	—	89	4	no	—
1063	C₂²×C₄	—	89	4	no	—
1064	C₂²×C₄	—	89	1	no	—
1065	C₂²×C₄	—	89	1	no	—
1066	C₂²×C₄	—	89	1	no	—
1067	C₂²×C₄	—	89	1	no	—
1068	C₂²×C₄	—	89	1	no	—
1069	C₂²×C₄	—	89	1	no	—
1070	C₂²×C₄	—	89	1	no	—
1071	C₂²×C₄	—	89	1	no	—
1072	C₂²×C₄	—	89	1	no	—
1073	C₂²×C₄	—	89	1	no	—
1074	C₂²×C₄	—	356	1	no	—
1075	C₂²×C₄	—	356	1	no	—
1076	C₂²×C₄	—	356	1	no	—
1077	C₂²×C₄	—	356	1	no	—
1078	C₂²×C₄	—	356	1	no	—
1079	C₂²×C₄	—	356	1	no	—
1080	C₂²×C₄	—	356	1	no	—
1081	C₂²×C₄	—	356	1	no	—
1082	C₂²×C₄	—	356	1	no	—
1083	C₂²×C₄	—	356	1	no	—
1084	C₂²×C₄	—	356	1	no	—
1085	C₂²×C₄	—	356	1	no	—
1086	C₂²×C₄	—	356	1	no	—
1087	C₂²×C₄	—	178	2	no	—
1088	C₂²×C₄	—	178	2	no	—
1089	C₂²×C₄	—	178	2	no	—
1090	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	89	4	no	—
1117	C₄⋊C₄	—	356	1	no	—
1118	C₄⋊C₄	—	356	1	no	—
1119	C₄⋊C₄	—	356	1	no	—
1120	C₄⋊C₄	—	356	1	no	—
1121	C₄⋊C₄	—	356	1	no	—
1122	C₄⋊C₄	—	356	1	no	—
1123	C₄⋊C₄	—	356	1	no	—
1124	C₄⋊C₄	—	356	1	no	—
1125	C₄⋊C₄	—	356	1	no	—
1126	C₄⋊C₄	—	356	1	no	—
1127	C₄⋊C₄	—	356	1	no	—
1128	C₄⋊C₄	—	356	1	no	—
1129	C₄⋊C₄	—	356	1	no	—
1130	C₄⋊C₄	—	356	1	no	—
1131	C₄⋊C₄	—	356	1	no	—
1132	C₄⋊C₄	—	356	1	no	—
1133	C₄⋊C₄	—	356	1	no	—
1134	C₄⋊C₄	—	356	1	no	—
1135	C₄⋊C₄	—	356	1	no	—
1136	C₄⋊C₄	—	356	1	no	—
1137	C₄⋊C₄	—	356	1	no	—
1138	C₄⋊C₄	—	356	1	no	—
1139	C₄⋊C₄	—	356	1	no	—
1140	C₄⋊C₄	—	356	1	no	—
1141	C₄⋊C₄	—	356	1	no	—
1142	C₄⋊C₄	—	356	1	no	—
1143	C₄⋊C₄	—	356	1	no	—
1144	C₄⋊C₄	—	356	1	no	—
1145	C₄⋊C₄	—	356	1	no	—
1146	C₄⋊C₄	—	178	2	no	—
1147	C₄⋊C₄	—	178	2	no	—
1148	C₄⋊C₄	—	178	2	no	—
1149	C₄⋊C₄	—	178	2	no	—
1150	C₄⋊C₄	—	178	2	no	—
1151	C₄⋊C₄	—	178	2	no	—
1152	C₄⋊C₄	—	178	2	no	—
1153	C₄⋊C₄	—	178	2	no	—
1154	C₄⋊C₄	—	178	2	no	—
1155	C₄⋊C₄	—	178	2	no	—
1156	C₄⋊C₄	—	178	2	no	—
1157	C₂²⋊C₄	—	89	4	no	—
1158	C₂²⋊C₄	—	89	4	no	—
1159	C₂²⋊C₄	—	356	1	no	—
1160	C₂²⋊C₄	—	356	1	no	—
1161	C₂²⋊C₄	—	356	1	no	—
1162	C₂²⋊C₄	—	356	1	no	—
1163	C₂²⋊C₄	—	356	1	no	—
1164	C₂²⋊C₄	—	356	1	no	—
1165	C₂²⋊C₄	—	356	1	no	—
1166	C₂²⋊C₄	—	356	1	no	—
1167	C₂²⋊C₄	—	356	1	no	—
1168	C₂²⋊C₄	—	356	1	no	—
1169	C₂²⋊C₄	—	356	1	no	—
1170	C₂²⋊C₄	—	356	1	no	—
1171	C₂²⋊C₄	—	356	1	no	—
1172	C₂²⋊C₄	—	356	1	no	—
1173	C₂²⋊C₄	—	356	1	no	—
1174	C₂²⋊C₄	—	356	1	no	—
1175	C₂²⋊C₄	—	356	1	no	—
1176	C₂²⋊C₄	—	178	2	no	—
1177	C₂²⋊C₄	—	178	2	no	—
1178	C₂²⋊C₄	—	178	2	no	—
1179	C₄²	—	2	2	no	—
1180	C₄²	—	4	1	no	—
1181	C₄²	—	4	1	no	—
1182	C₄²	—	4	1	no	—
1183	C₄²	—	356	1	no	—
1184	C₄²	—	356	1	no	—
1185	C₄²	—	356	1	no	—
1186	C₄²	—	356	1	no	—
1187	C₄²	—	356	1	no	—
1188	C₄²	—	356	1	no	—
1189	C₄²	—	356	1	no	—
1190	C₄²	—	178	2	no	—
1191	C₄²	Q₈×D₈₉	1	4	yes	—
1192	C₂³	—	89	2	no	—
1193	C₂³	—	89	2	no	—
1194	C₂³	—	178	1	no	—
1195	C₂³	—	178	1	no	—
1196	C₂³	—	178	1	no	—
1197	C₂³	—	178	1	no	—
1198	C₂³	—	178	1	no	—
1199	C₂³	—	178	1	no	—
1200	C₂³	—	178	1	no	—
1201	C₂³	—	178	1	no	—
1202	C₂³	—	178	1	no	—
1203	C₂³	—	178	1	no	—
1204	C₂³	—	178	1	no	—
1205	C₂³	—	178	1	no	—
1206	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1207	Q₈	—	8	2	no	—
1208	Q₈	—	712	2	no	—
1209	Q₈	—	712	2	no	—
1210	Q₈	—	712	2	no	—
1211	Q₈	—	712	2	no	—
1212	D₄	—	356	4	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	89	2	no	—
1255	C₂×C₄	—	89	2	no	—
1256	C₂×C₄	—	89	2	no	—
1257	C₂×C₄	—	89	2	no	—
1258	C₂×C₄	—	356	4	no	—
1259	C₂×C₄	—	356	4	no	—
1260	C₂×C₄	—	356	4	no	—
1261	C₂×C₄	—	356	4	no	—
1262	C₂×C₄	—	178	1	no	—
1263	C₂×C₄	—	178	1	no	—
1264	C₂×C₄	—	178	1	no	—
1265	C₂×C₄	—	178	1	no	—
1266	C₂×C₄	—	178	1	no	—
1267	C₂×C₄	—	178	1	no	—
1268	C₂×C₄	—	178	1	no	—
1269	C₂×C₄	—	178	1	no	—
1270	C₂×C₄	—	178	1	no	—
1271	C₂×C₄	—	178	1	no	—
1272	C₂×C₄	—	178	1	no	—
1273	C₂×C₄	—	178	1	no	—
1274	C₂×C₄	—	178	1	no	—
1275	C₂×C₄	—	178	1	no	—
1276	C₂×C₄	—	178	1	no	—
1277	C₂×C₄	—	178	1	no	—
1278	C₂×C₄	—	178	1	no	—
1279	C₂×C₄	—	178	1	no	—
1280	C₂×C₄	—	178	1	no	—
1281	C₂×C₄	—	178	1	no	—
1282	C₂×C₄	—	178	1	no	—
1283	C₂×C₄	—	178	1	no	—
1284	C₂×C₄	—	178	1	no	—
1285	C₂×C₄	—	178	1	no	—
1286	C₂×C₄	—	178	1	no	—
1287	C₂×C₄	—	178	1	no	—
1288	C₂×C₄	—	178	1	no	—
1289	C₂×C₄	—	178	1	no	—
1290	C₂×C₄	—	178	1	no	—
1291	C₂×C₄	—	178	1	no	—
1292	C₂×C₄	—	178	1	no	—
1293	C₂×C₄	—	178	1	no	—
1294	C₂×C₄	—	178	1	no	—
1295	C₂×C₄	—	178	1	no	—
1296	C₂×C₄	—	178	1	no	—
1297	C₂×C₄	—	178	1	no	—
1298	C₂×C₄	—	178	1	no	—
1299	C₂×C₄	—	178	1	no	—
1300	C₂×C₄	—	712	2	no	—
1301	C₂×C₄	—	712	2	no	—
1302	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1303	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1304	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1305	C₂×C₄	#15668058	1	2	yes	—
1306	C₂²	—	356	1	no	—
1307	C₂²	—	356	1	no	—
1308	C₂²	—	356	1	no	—
1309	C₂²	—	356	1	no	—
1310	C₂²	—	356	1	no	—
1311	C₂²	—	356	1	no	—
1312	C₂²	—	356	1	no	—
1313	C₂²	—	356	1	no	—
1314	C₂²	—	178	2	no	—
1315	C₂²	—	178	2	no	—
1316	C₂²	—	178	2	no	—
1317	C₂²	—	178	2	no	—
1318	C₂²	—	178	2	no	—
1319	C₂²	—	178	2	no	—
1320	C₂²	C₂²×Q₈×D₈₉	1	1	yes	characteristic
1321	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1322	C₂²	C₂×#15668058	1	1	yes	characteristic
1323	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1324	C₂²	#19152434	1	1	yes	characteristic
1325	C₂²	#19152434	1	1	yes	characteristic
1326	C₂²	#19152434	1	1	yes	characteristic
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	356	1	no	—
1343	C₄	—	356	1	no	—
1344	C₄	—	356	1	no	—
1345	C₄	—	356	1	no	—
1346	C₄	—	356	1	no	—
1347	C₄	—	356	1	no	—
1348	C₄	—	356	1	no	—
1349	C₄	—	356	1	no	—
1350	C₄	—	356	1	no	—
1351	C₄	—	356	1	no	—
1352	C₄	—	178	2	no	—
1353	C₄	—	178	2	no	—
1354	C₄	—	178	2	no	—
1355	C₄	—	178	2	no	—
1356	C₂	—	356	2	no	—
1357	C₂	—	356	2	no	—
1358	C₂	#26033655	1	1	yes	characteristic
1359	C₂	#26034053	1	1	yes	characteristic
1360	C₂	#26034067	1	1	yes	characteristic
1361	C₂	#26034445	1	1	yes	characteristic
1362	C₂	#26034548	1	1	yes	characteristic
1363	C₂	#26034667	1	1	yes	characteristic
1364	C₂	#26034882	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2612	C₂
prime radical	C₂²×D₃₅₆	C₂³
hypercenter	#2612	D₈₉
hypocenter	C₈₉	#36754
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2612

Complements

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

N	H ≅ G/N	type
1. #26028601	C₂	semidirect
2. #26028587	C₂	semidirect
3. #26028173	C₂	semidirect
4. #26028046	C₂	semidirect
5. #26028028	C₂	semidirect
6. #26028005	C₂	semidirect
9. #26027804	C₂	semidirect
10. #26027731	C₂	semidirect
11. #26027284	C₂	semidirect
12. #26027241	C₂	semidirect
13. #26027240	C₂	semidirect
14. #26026916	C₂	semidirect
15. #26026909	C₂	semidirect
18. #26026566	C₂	semidirect
19. #26026450	C₂	semidirect
20. #26026428	C₂	semidirect
21. #26025921	C₂	semidirect
22. #26025909	C₂	semidirect
23. #26025900	C₂	semidirect
24. #26025274	C₂	semidirect
25. #26025262	C₂	semidirect
26. #26023940	C₂	semidirect
27. #26023927	C₂	semidirect
31. C₈₉×#2612	C₂	semidirect
208. C₄×D₃₅₆	Q₈	semidirect
703. #2612	D₈₉	semidirect
714. C₈₉	#36754	semidirect

Maximal subgroups

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

subgroup	index
#26028601	2
#26028587	2
#26028173	2
#26028046	2
#26028028	2
#26028005	2
#26027948	2
#26027903	2
#26027804	2
#26027731	2
#26027284	2
#26027241	2
#26027240	2
#26026916	2
#26026909	2
#26026743	2
#26026623	2
#26026566	2
#26026450	2
#26026428	2
#26025921	2
#26025909	2
#26025900	2
#26025274	2
#26025262	2
#26023940	2
#26023927	2
#26022896	2
#26022888	2
#26022696	2
C₈₉×#2612	2
#36754	89