Subgroups — #36719792

Order 22784.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152243	C₂	1	1	yes	maximal, characteristic
2	#26023416	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023407	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023398	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023392	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023362	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023302	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023290	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023242	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023228	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023193	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023192	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023104	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023102	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023078	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023070	C₂	1	1	yes	maximal, characteristic, complemented
17	#26023065	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023047	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023017	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023004	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022951	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022920	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022914	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022909	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022890	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022847	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022839	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022826	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#15667986	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151489	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#13083573	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₈₉	C₂²	1	1	yes	characteristic
34	#19152243	C₄	1	16	yes	complemented
35	C₂×#15668000	C₂²	1	1	yes	characteristic
36	C₂×#15667996	C₂²	1	1	yes	characteristic
37	C₂×#15667996	C₂²	1	1	yes	characteristic
38	C₂×#15667992	C₂²	1	1	yes	characteristic
39	C₂×#15667987	C₂²	1	1	yes	characteristic
40	C₂×#15667986	C₂²	1	1	yes	characteristic
41	C₂×#15667986	C₂²	1	1	yes	characteristic
42	C₂×#15667982	C₂²	1	1	yes	characteristic
43	C₂×#15667982	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic, complemented
46	C₂×#15667974	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×#15667972	C₂²	1	1	yes	characteristic
50	C₂×#15667972	C₂²	1	1	yes	characteristic, complemented
51	C₂×#15667968	C₂²	1	1	yes	characteristic, complemented
52	C₂²×#13083553	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#13083551	C₂²	1	1	yes	characteristic
54	C₂²×#13083551	C₂²	1	1	yes	characteristic
55	C₂²×#13083551	C₂²	1	1	yes	characteristic
56	C₂²×#13083551	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
59	#19151502	C₂²	1	1	yes	characteristic, complemented
60	#19151502	C₂²	1	1	yes	characteristic, complemented
61	#19151502	C₂²	1	1	yes	characteristic, complemented
62	#19151502	C₂²	1	1	yes	characteristic, complemented
63	#19151500	C₂²	1	1	yes	characteristic, complemented
64	#19151499	C₂²	1	1	yes	characteristic
65	#19151499	C₂²	1	1	yes	characteristic
66	#19151499	C₂²	1	1	yes	characteristic, complemented
67	#19151498	C₂²	1	1	yes	characteristic
68	#19151498	C₂²	1	1	yes	characteristic
69	#19151498	C₂²	1	1	yes	characteristic, complemented
70	#19151498	C₂²	1	1	yes	characteristic, complemented
71	#19151496	C₂²	1	1	yes	characteristic, complemented
72	#19151494	C₂²	1	1	yes	characteristic, complemented
73	#19151494	C₂²	1	1	yes	characteristic, complemented
74	#19151494	C₂²	1	1	yes	characteristic, complemented
75	#19151491	C₂²	1	1	yes	characteristic, complemented
76	#19151491	C₂²	1	1	yes	characteristic, complemented
77	#19151490	C₂²	1	1	yes	characteristic
78	#19151490	C₂²	1	1	yes	characteristic
79	#19151489	C₂²	1	1	yes	characteristic
80	#19151489	C₂²	1	1	yes	characteristic
81	#19151489	C₂²	1	1	yes	characteristic
82	#19151489	C₂²	1	1	yes	characteristic
83	#19151489	C₂²	1	1	yes	characteristic
84	#19151489	C₂²	1	1	yes	characteristic
85	#19151489	C₂²	1	1	yes	characteristic, complemented
86	#19151489	C₂²	1	1	yes	characteristic, complemented
87	#19151489	C₂²	1	1	yes	characteristic, complemented
88	#19151489	C₂²	1	1	yes	characteristic, complemented
89	#19151489	C₂²	1	1	yes	characteristic, complemented
90	#19151489	C₂²	1	1	yes	characteristic, complemented
91	#19151489	C₂²	1	1	yes	characteristic, complemented
92	#19151489	C₂²	1	1	yes	characteristic, complemented
93	#19151488	C₂²	1	1	yes	characteristic
94	#19151488	C₂²	1	1	yes	characteristic
95	#19151488	C₂²	1	1	yes	characteristic, complemented
96	#19151488	C₂²	1	1	yes	characteristic, complemented
97	#19151487	C₂²	1	1	yes	characteristic
98	#19151487	C₂²	1	1	yes	characteristic
99	#19151487	C₂²	1	1	yes	characteristic, complemented
100	#19151487	C₂²	1	1	yes	characteristic, complemented
101	#19151487	C₂²	1	1	yes	characteristic, complemented
102	#19151487	C₂²	1	1	yes	characteristic, complemented
103	#19151484	C₂²	1	1	yes	characteristic, complemented
104	#19151484	C₂²	1	1	yes	characteristic, complemented
105	#19151483	C₂²	1	1	yes	characteristic, complemented
106	#19151483	C₂²	1	1	yes	characteristic, complemented
107	#19151481	C₂²	1	1	yes	characteristic, complemented
108	#19151481	C₂²	1	1	yes	characteristic, complemented
109	#19151481	C₂²	1	1	yes	characteristic, complemented
110	#19151481	C₂²	1	1	yes	characteristic, complemented
111	#19151478	C₂²	1	1	yes	characteristic
112	#19151478	C₂²	1	1	yes	characteristic
113	#19151477	C₂²	1	1	yes	characteristic
114	#19151477	C₂²	1	1	yes	characteristic, complemented
115	#19151476	C₂²	1	1	yes	characteristic
116	#19151476	C₂²	1	1	yes	characteristic
117	#19151476	C₂²	1	1	yes	characteristic
118	#19151476	C₂²	1	1	yes	characteristic
119	#19151476	C₂²	1	1	yes	characteristic
120	#19151476	C₂²	1	1	yes	characteristic
121	#19151476	C₂²	1	1	yes	characteristic, complemented
122	#19151476	C₂²	1	1	yes	characteristic, complemented
123	#19151476	C₂²	1	1	yes	characteristic, complemented
124	#19151476	C₂²	1	1	yes	characteristic, complemented
125	#19151475	C₂²	1	1	yes	characteristic
126	#19151475	C₂²	1	1	yes	characteristic, complemented
127	#19151474	C₂²	1	1	yes	characteristic
128	#19151474	C₂²	1	1	yes	characteristic
129	#19151474	C₂²	1	1	yes	characteristic, complemented
130	#19151474	C₂²	1	1	yes	characteristic, complemented
131	#19151472	C₂²	1	1	yes	characteristic, complemented
132	#19151472	C₂²	1	1	yes	characteristic, complemented
133	#19151469	C₂²	1	1	yes	characteristic, complemented
134	#19151469	C₂²	1	1	yes	characteristic, complemented
135	#19151469	C₂²	1	1	yes	characteristic, complemented
136	#19151469	C₂²	1	1	yes	characteristic, complemented
137	#19151466	C₂²	1	1	yes	characteristic, complemented
138	#19151461	C₂²	1	1	yes	characteristic, complemented
139	#19151460	C₂²	1	1	yes	characteristic
140	#19151460	C₂²	1	1	yes	characteristic
141	#19151460	C₂²	1	1	yes	characteristic, complemented
142	#19151459	C₂²	1	1	yes	characteristic, complemented
143	#19151458	C₂²	1	1	yes	characteristic, complemented
144	#19151457	C₂²	1	1	yes	characteristic
145	#19151457	C₂²	1	1	yes	characteristic, complemented
146	#19151457	C₂²	1	1	yes	characteristic, complemented
147	#19151456	C₂²	1	1	yes	characteristic, complemented
148	#19151456	C₂²	1	1	yes	characteristic, complemented
149	#19151456	C₂²	1	1	yes	characteristic, complemented
150	#19151453	C₂²	1	1	yes	characteristic
151	#19151453	C₂²	1	1	yes	characteristic
152	#19151453	C₂²	1	1	yes	characteristic
153	#19151453	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
158	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
159	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
160	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
161	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
162	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
163	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
164	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
166	#19151445	C₂²	1	1	yes	characteristic
167	#19151445	C₂²	1	1	yes	characteristic, complemented
168	#19151445	C₂²	1	1	yes	characteristic, complemented
169	#19151444	C₂²	1	1	yes	characteristic, complemented
170	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
171	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
172	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#386×C₈₉	C₂²	1	1	yes	characteristic
181	#386×C₈₉	C₂²	1	1	yes	characteristic
182	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	#376×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂×#13083573	—	4	2	no	—
191	C₂×#13083573	—	4	2	no	—
192	C₂×#13083573	C₂×C₄	1	8	yes	complemented
193	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
194	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
195	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
196	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
197	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
200	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
201	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
202	C₂×D₄×D₈₉	—	4	2	no	—
203	C₂×D₄×D₈₉	—	4	2	no	—
204	C₂×D₄×D₈₉	C₂×C₄	1	8	yes	complemented
205	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
206	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
207	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
208	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
217	#15668000	C₂×C₄	1	8	yes	complemented
218	#15667996	C₂×C₄	1	8	yes	complemented
219	#15667996	C₂×C₄	1	8	yes	complemented
220	#15667992	C₂×C₄	1	8	yes	complemented
221	#15667987	C₂×C₄	1	8	yes	complemented
222	#15667986	C₂×C₄	1	8	yes	complemented
223	#15667986	C₂×C₄	1	8	yes	complemented
224	#15667982	C₂×C₄	1	8	yes	complemented
225	#15667982	C₂×C₄	1	8	yes	complemented
226	C₄×D₃₅₆	—	4	2	no	—
227	C₄×D₃₅₆	C₂×C₄	1	8	yes	complemented
228	#15667974	—	4	2	no	—
229	C₄×C₂²⋊D₈₉	—	4	2	no	—
230	C₄×C₂²⋊D₈₉	—	4	2	no	—
231	#15667972	—	4	2	no	—
232	#15667972	—	4	2	no	—
233	#15667968	—	4	2	no	—
234	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×#13083553	—	4	2	no	—
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×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×#13083551	—	4	2	no	—
257	C₂×#13083551	—	4	2	no	—
258	C₂×#13083551	C₂×C₄	1	8	yes	complemented
259	C₂×#13083551	C₂×C₄	1	8	yes	complemented
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×#13083551	C₂³	1	1	yes	characteristic
274	C₂×#13083551	C₂³	1	1	yes	characteristic
275	C₂×#13083551	C₂³	1	1	yes	characteristic
276	C₂×#13083551	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	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	C₂²⋊C₄×D₈₉	—	4	2	no	—
297	C₂²⋊C₄×D₈₉	—	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	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
344	#117×C₈₉	—	4	2	no	—
345	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₈₉	—	4	2	no	—
359	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	C₂³×D₈₉	—	2	2	no	—
377	C₂³×D₈₉	—	2	2	no	—
378	C₂³×D₈₉	—	4	1	no	—
379	C₂³×D₈₉	—	4	1	no	—
380	C₂³×D₈₉	—	4	1	no	—
381	C₂³×D₈₉	—	4	1	no	—
382	C₂³×D₈₉	—	4	1	no	—
383	C₂³×D₈₉	—	4	1	no	—
384	C₂³×D₈₉	—	4	1	no	—
385	C₂³×D₈₉	—	4	1	no	—
386	C₂³×D₈₉	—	4	1	no	—
387	C₂³×D₈₉	—	4	1	no	—
388	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
389	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
390	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
391	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
392	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
393	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
394	#13083573	—	4	16	no	—
395	C₂×Dic₁₇₈	—	4	1	no	—
396	C₂×Dic₁₇₈	—	4	1	no	—
397	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	—
398	C₂×D₃₅₆	—	4	1	no	—
399	C₂×D₃₅₆	—	4	1	no	—
400	C₂×D₃₅₆	—	4	1	no	—
401	C₂×D₃₅₆	—	4	1	no	—
402	C₂×D₃₅₆	—	4	1	no	—
403	C₂×D₃₅₆	—	4	1	no	—
404	C₂×D₃₅₆	—	4	1	no	—
405	C₂×D₃₅₆	—	4	1	no	—
406	C₂×D₃₅₆	C₂²×C₄	1	4	yes	—
407	C₂×D₃₅₆	C₂²×C₄	1	4	yes	—
408	C₂×D₃₅₆	C₂²×C₄	1	4	yes	—
409	C₂×D₃₅₆	C₂²×C₄	1	4	yes	—
410	C₂×C₂²⋊D₈₉	—	2	2	no	—
411	C₂×C₂²⋊D₈₉	—	2	2	no	—
412	C₂×C₂²⋊D₈₉	—	2	2	no	—
413	C₂×C₂²⋊D₈₉	—	2	2	no	—
414	C₂×C₂²⋊D₈₉	—	4	1	no	—
415	C₂×C₂²⋊D₈₉	—	4	1	no	—
416	C₂×C₂²⋊D₈₉	—	4	1	no	—
417	C₂×C₂²⋊D₈₉	—	4	1	no	—
418	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
419	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
420	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
421	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
422	D₄×D₈₉	—	4	16	no	—
423	C₂²×Dic₈₉	—	2	2	no	—
424	C₂²×Dic₈₉	—	2	2	no	—
425	C₂²×Dic₈₉	—	2	2	no	—
426	C₂²×Dic₈₉	—	2	2	no	—
427	C₂²×Dic₈₉	—	4	1	no	—
428	C₂²×Dic₈₉	—	4	1	no	—
429	C₂²×Dic₈₉	—	4	1	no	—
430	C₂²×Dic₈₉	—	4	1	no	—
431	C₂²×Dic₈₉	—	4	1	no	—
432	C₂²×Dic₈₉	—	4	1	no	—
433	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
434	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
435	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×D₈₉	—	2	2	no	—
448	C₂×C₄×D₈₉	—	2	2	no	—
449	C₂×C₄×D₈₉	—	4	1	no	—
450	C₂×C₄×D₈₉	—	4	1	no	—
451	C₂×C₄×D₈₉	—	4	1	no	—
452	C₂×C₄×D₈₉	—	4	1	no	—
453	C₂×C₄×D₈₉	—	4	1	no	—
454	C₂×C₄×D₈₉	—	4	1	no	—
455	C₂×C₄×D₈₉	—	4	1	no	—
456	C₂×C₄×D₈₉	—	4	1	no	—
457	C₂×C₄×D₈₉	—	4	1	no	—
458	C₂×C₄×D₈₉	—	4	1	no	—
459	C₂×C₄×D₈₉	—	4	1	no	—
460	C₂×C₄×D₈₉	—	4	1	no	—
461	C₂×C₄×D₈₉	—	4	1	no	—
462	C₂×C₄×D₈₉	—	4	1	no	—
463	C₂×C₄×D₈₉	—	4	1	no	—
464	C₂×C₄×D₈₉	—	4	1	no	—
465	C₂×C₄×D₈₉	—	4	1	no	—
466	C₂×C₄×D₈₉	—	4	1	no	—
467	C₂×C₄×D₈₉	—	4	1	no	—
468	C₂×C₄×D₈₉	—	4	1	no	—
469	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
470	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
471	C₄⋊Dic₈₉	—	4	1	no	—
472	C₄⋊Dic₈₉	—	4	1	no	—
473	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
474	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
475	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
476	#13083553	—	4	1	no	—
477	#13083553	—	4	1	no	—
478	#13083553	—	4	1	no	—
479	#13083553	—	4	1	no	—
480	#13083553	—	4	1	no	—
481	#13083553	—	4	1	no	—
482	#13083553	—	4	1	no	—
483	#13083553	—	4	1	no	—
484	#13083553	—	4	1	no	—
485	#13083553	—	4	1	no	—
486	C₂²⋊Dic₈₉	—	2	2	no	—
487	C₂²⋊Dic₈₉	—	2	2	no	—
488	C₂²⋊Dic₈₉	—	4	1	no	—
489	C₂²⋊Dic₈₉	—	4	1	no	—
490	C₂²⋊Dic₈₉	—	4	1	no	—
491	C₂²⋊Dic₈₉	—	4	1	no	—
492	#13083551	—	2	2	no	—
493	#13083551	—	2	2	no	—
494	#13083551	—	4	1	no	—
495	#13083551	—	4	1	no	—
496	#13083551	—	4	1	no	—
497	#13083551	—	4	1	no	—
498	#13083551	—	4	1	no	—
499	#13083551	—	4	1	no	—
500	#13083551	—	4	1	no	—
501	#13083551	—	4	1	no	—
502	#13083551	—	4	1	no	—
503	#13083551	—	4	1	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	—	4	1	no	—
508	#13083551	—	4	1	no	—
509	#13083551	—	4	1	no	—
510	#13083551	—	4	1	no	—
511	#13083551	—	4	1	no	—
512	#13083551	—	4	1	no	—
513	#13083551	—	4	1	no	—
514	#13083551	—	4	1	no	—
515	#13083551	—	4	1	no	—
516	#13083551	—	4	1	no	—
517	#13083551	—	4	1	no	—
518	#13083551	C₂²×C₄	1	4	yes	—
519	#13083551	C₂²×C₄	1	4	yes	—
520	#13083551	C₂²×C₄	1	4	yes	—
521	#13083551	C₂²×C₄	1	4	yes	—
522	#13083551	C₂²×C₄	1	4	yes	—
523	#13083551	C₂²×C₄	1	4	yes	—
524	#13083551	C₂²×C₄	1	4	yes	—
525	#13083551	C₂²×C₄	1	4	yes	—
526	#13083551	C₂²×C₄	1	4	yes	—
527	#13083551	C₂²×C₄	1	4	yes	—
528	C₄×Dic₈₉	—	4	1	no	—
529	C₄×Dic₈₉	—	4	1	no	—
530	C₄×Dic₈₉	—	4	1	no	—
531	C₄×Dic₈₉	—	4	1	no	—
532	C₄×Dic₈₉	—	4	1	no	—
533	C₄×Dic₈₉	—	4	1	no	—
534	C₄×Dic₈₉	—	4	1	no	—
535	C₄×Dic₈₉	—	4	1	no	—
536	C₄×Dic₈₉	—	4	1	no	—
537	C₄×Dic₈₉	—	4	1	no	—
538	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₈₉	—	2	2	no	—
541	C₂×D₄×C₈₉	—	2	2	no	—
542	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₈₉	—	4	1	no	—
550	C₂²×C₄×C₈₉	—	4	1	no	—
551	C₂²×C₄×C₈₉	—	4	1	no	—
552	C₂²×C₄×C₈₉	—	4	1	no	—
553	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
554	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
555	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
568	C₄⋊C₄×C₈₉	—	2	2	no	—
569	C₄⋊C₄×C₈₉	—	4	1	no	—
570	C₄⋊C₄×C₈₉	—	4	1	no	—
571	C₄⋊C₄×C₈₉	—	4	1	no	—
572	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
573	C₂²⋊C₄×C₈₉	—	2	2	no	—
574	C₂²⋊C₄×C₈₉	—	2	2	no	—
575	C₂²⋊C₄×C₈₉	—	2	2	no	—
576	C₂²⋊C₄×C₈₉	—	4	1	no	—
577	C₂²⋊C₄×C₈₉	—	4	1	no	—
578	C₂²⋊C₄×C₈₉	—	4	1	no	—
579	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
580	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
581	C₄²×C₈₉	—	2	2	no	—
582	C₄²×C₈₉	—	2	2	no	—
583	C₄²×C₈₉	—	4	1	no	—
584	C₄²×C₈₉	—	4	1	no	—
585	C₄²×C₈₉	—	4	1	no	—
586	C₄²×C₈₉	—	4	1	no	—
587	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	—	2	1	no	—
591	C₂³×C₈₉	—	2	1	no	—
592	C₂³×C₈₉	—	2	1	no	—
593	C₂³×C₈₉	—	2	1	no	—
594	C₂³×C₈₉	—	2	1	no	—
595	C₂³×C₈₉	—	2	1	no	—
596	C₂³×C₈₉	—	2	1	no	—
597	C₂³×C₈₉	—	2	1	no	—
598	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
599	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
600	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
601	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
602	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	—	2	1	no	—
607	C₂²×D₈₉	—	2	1	no	—
608	C₂²×D₈₉	—	2	1	no	—
609	C₂²×D₈₉	—	2	1	no	—
610	C₂²×D₈₉	—	2	1	no	—
611	C₂²×D₈₉	—	2	1	no	—
612	C₂²×D₈₉	—	2	1	no	—
613	C₂²×D₈₉	—	2	1	no	—
614	C₂²×D₈₉	—	2	1	no	—
615	C₂²×D₈₉	—	2	1	no	—
616	C₂²×D₈₉	—	2	1	no	—
617	C₂²×D₈₉	—	2	1	no	—
618	C₂²×D₈₉	—	2	1	no	—
619	C₂²×D₈₉	—	2	1	no	—
620	C₂²×D₈₉	—	2	1	no	—
621	C₂²×D₈₉	—	2	1	no	—
622	C₂²×D₈₉	—	2	1	no	—
623	C₂²×D₈₉	—	2	1	no	—
624	C₂²×D₈₉	—	2	1	no	—
625	C₂²×D₈₉	—	2	1	no	—
626	C₂²×D₈₉	—	2	1	no	—
627	C₂²×D₈₉	—	2	8	no	—
628	C₂²×D₈₉	—	4	4	no	—
629	C₂²×D₈₉	—	4	4	no	—
630	C₂²×D₈₉	—	4	4	no	—
631	C₂²×D₈₉	—	4	4	no	—
632	C₂²×D₈₉	—	4	4	no	—
633	C₂²×D₈₉	—	8	2	no	—
634	C₂²×D₈₉	—	8	2	no	—
635	C₂²×D₈₉	—	8	2	no	—
636	C₂²×D₈₉	—	8	2	no	—
637	C₂²×D₈₉	—	8	2	no	—
638	C₂²×D₈₉	—	8	2	no	—
639	C₂²×D₈₉	—	8	2	no	—
640	C₂²×D₈₉	—	8	2	no	—
641	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
642	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
643	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
644	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
645	D₄×C₈₉	—	2	8	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	2	1	no	—
662	C₂×C₄×C₈₉	—	2	1	no	—
663	C₂×C₄×C₈₉	—	2	1	no	—
664	C₂×C₄×C₈₉	—	2	1	no	—
665	C₂×C₄×C₈₉	—	2	1	no	—
666	C₂×C₄×C₈₉	—	2	1	no	—
667	C₂×C₄×C₈₉	—	2	1	no	—
668	C₂×C₄×C₈₉	—	2	1	no	—
669	C₂×C₄×C₈₉	—	2	1	no	—
670	C₂×C₄×C₈₉	—	2	1	no	—
671	C₂×C₄×C₈₉	—	2	1	no	—
672	C₂×C₄×C₈₉	—	2	1	no	—
673	C₂×C₄×C₈₉	—	2	1	no	—
674	C₂×C₄×C₈₉	—	2	1	no	—
675	C₂×C₄×C₈₉	—	2	1	no	—
676	C₂×C₄×C₈₉	—	2	1	no	—
677	C₂×C₄×C₈₉	—	2	1	no	—
678	C₂×C₄×C₈₉	—	2	1	no	—
679	C₂×C₄×C₈₉	—	4	4	no	—
680	C₂×C₄×C₈₉	—	4	4	no	—
681	C₂×C₄×C₈₉	—	4	4	no	—
682	C₂×C₄×C₈₉	—	4	4	no	—
683	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
684	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
685	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
686	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
687	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
688	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
689	C₂²⋊D₈₉	—	2	8	no	—
690	C₂²⋊D₈₉	—	2	8	no	—
691	C₂²⋊D₈₉	—	4	4	no	—
692	C₂²⋊D₈₉	—	4	4	no	—
693	C₂×Dic₈₉	—	2	8	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	2	1	no	—
703	C₂×Dic₈₉	—	2	1	no	—
704	C₂×Dic₈₉	—	2	1	no	—
705	C₂×Dic₈₉	—	2	1	no	—
706	C₂×Dic₈₉	—	2	1	no	—
707	C₂×Dic₈₉	—	2	1	no	—
708	C₂×Dic₈₉	—	2	1	no	—
709	C₂×Dic₈₉	—	2	1	no	—
710	C₂×Dic₈₉	—	2	1	no	—
711	C₂×Dic₈₉	—	2	1	no	—
712	C₂×Dic₈₉	—	2	1	no	—
713	C₂×Dic₈₉	—	2	1	no	—
714	C₂×Dic₈₉	—	2	1	no	—
715	C₂×Dic₈₉	—	2	1	no	—
716	C₂×Dic₈₉	—	2	1	no	—
717	C₂×Dic₈₉	—	2	1	no	—
718	C₂×Dic₈₉	—	2	1	no	—
719	C₂×Dic₈₉	—	2	1	no	—
720	C₂×Dic₈₉	—	2	1	no	—
721	C₂×Dic₈₉	—	2	1	no	—
722	C₂×Dic₈₉	—	2	1	no	—
723	C₂×Dic₈₉	—	2	1	no	—
724	C₂×Dic₈₉	—	2	1	no	—
725	C₂×Dic₈₉	—	2	1	no	—
726	C₂×Dic₈₉	—	4	4	no	—
727	C₂×Dic₈₉	—	8	2	no	—
728	C₂×Dic₈₉	—	8	2	no	—
729	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
730	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
731	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
732	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
733	D₃₅₆	—	4	4	no	—
734	D₃₅₆	—	4	4	no	—
735	D₃₅₆	—	4	4	no	—
736	D₃₅₆	—	4	4	no	—
737	C₄×D₈₉	—	4	4	no	—
738	C₄×D₈₉	—	4	4	no	—
739	C₄×D₈₉	—	8	2	no	—
740	C₄×D₈₉	—	8	2	no	—
741	C₄×D₈₉	—	8	2	no	—
742	C₄×D₈₉	—	8	2	no	—
743	C₄×D₈₉	—	8	2	no	—
744	C₄×D₈₉	—	8	2	no	—
745	Dic₁₇₈	—	4	4	no	—
746	C₂²×C₈₉	—	2	2	no	—
747	C₂²×C₈₉	—	2	2	no	—
748	C₂²×C₈₉	—	2	2	no	—
749	C₂²×C₈₉	—	2	2	no	—
750	C₂²×C₈₉	—	2	2	no	—
751	C₂²×C₈₉	—	2	2	no	—
752	C₂²×C₈₉	—	2	2	no	—
753	C₂²×C₈₉	—	2	2	no	—
754	C₂²×C₈₉	—	2	2	no	—
755	C₂²×C₈₉	—	4	1	no	—
756	C₂²×C₈₉	—	4	1	no	—
757	C₂²×C₈₉	—	4	1	no	—
758	C₂²×C₈₉	—	4	1	no	—
759	C₂²×C₈₉	#518	1	4	yes	—
760	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
761	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
762	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
763	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
764	C₂²×C₈₉	#585	1	1	yes	characteristic
765	C₂²×C₈₉	#585	1	1	yes	characteristic
766	C₂²×C₈₉	#585	1	1	yes	characteristic
767	C₂×D₈₉	—	2	2	no	—
768	C₂×D₈₉	—	2	2	no	—
769	C₂×D₈₉	—	2	2	no	—
770	C₂×D₈₉	—	2	2	no	—
771	C₂×D₈₉	—	2	2	no	—
772	C₂×D₈₉	—	2	2	no	—
773	C₂×D₈₉	—	2	2	no	—
774	C₂×D₈₉	—	2	2	no	—
775	C₂×D₈₉	—	2	2	no	—
776	C₂×D₈₉	—	2	2	no	—
777	C₂×D₈₉	—	2	2	no	—
778	C₂×D₈₉	—	2	2	no	—
779	C₂×D₈₉	—	4	1	no	—
780	C₂×D₈₉	—	4	1	no	—
781	C₂×D₈₉	—	4	1	no	—
782	C₂×D₈₉	—	4	1	no	—
783	C₂×D₈₉	—	4	1	no	—
784	C₂×D₈₉	—	4	1	no	—
785	C₂×D₈₉	—	4	1	no	—
786	C₂×D₈₉	—	4	1	no	—
787	C₂×D₈₉	—	4	1	no	—
788	C₂×D₈₉	—	4	1	no	—
789	C₂×D₈₉	—	4	1	no	—
790	C₂×D₈₉	—	4	1	no	—
791	C₂×D₈₉	—	4	1	no	—
792	C₂×D₈₉	—	4	1	no	—
793	C₂×D₈₉	—	4	1	no	—
794	C₂×D₈₉	—	4	1	no	—
795	C₂×D₈₉	—	8	8	no	—
796	C₂×D₈₉	—	8	8	no	—
797	C₄×C₈₉	—	2	2	no	—
798	C₄×C₈₉	—	2	2	no	—
799	C₄×C₈₉	—	2	2	no	—
800	C₄×C₈₉	—	2	2	no	—
801	C₄×C₈₉	—	2	2	no	—
802	C₄×C₈₉	—	2	2	no	—
803	C₄×C₈₉	—	4	1	no	—
804	C₄×C₈₉	—	4	1	no	—
805	C₄×C₈₉	—	4	1	no	—
806	C₄×C₈₉	—	4	1	no	—
807	C₄×C₈₉	—	4	1	no	—
808	C₄×C₈₉	—	4	1	no	—
809	C₄×C₈₉	—	4	1	no	—
810	Dic₈₉	—	2	2	no	—
811	Dic₈₉	—	2	2	no	—
812	Dic₈₉	—	2	2	no	—
813	Dic₈₉	—	2	2	no	—
814	Dic₈₉	—	4	1	no	—
815	Dic₈₉	—	4	1	no	—
816	Dic₈₉	—	4	1	no	—
817	Dic₈₉	—	4	1	no	—
818	Dic₈₉	—	4	1	no	—
819	Dic₈₉	—	4	1	no	—
820	Dic₈₉	—	4	1	no	—
821	Dic₈₉	—	4	1	no	—
822	#34492	—	89	1	no	maximal, Sylow
823	C₂×C₈₉	—	2	4	no	—
824	C₂×C₈₉	—	4	2	no	—
825	C₂×C₈₉	C₂×#518	1	1	yes	characteristic
826	C₂×C₈₉	#3428	1	1	yes	characteristic
827	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
828	C₂×C₈₉	#3534	1	1	yes	characteristic
829	C₂×C₈₉	#3542	1	1	yes	characteristic
830	C₂×C₈₉	#3545	1	1	yes	characteristic
831	C₂×C₈₉	#3560	1	1	yes	characteristic
832	D₈₉	—	4	2	no	—
833	D₈₉	—	4	2	no	—
834	D₈₉	—	4	2	no	—
835	D₈₉	—	4	2	no	—
836	C₂×#546	—	89	1	no	—
837	#2378	—	89	1	no	—
838	#2377	—	89	1	no	—
839	#2376	—	89	1	no	—
840	#2375	—	89	1	no	—
841	#2372	—	89	1	no	—
842	#2364	—	89	1	no	—
843	#2363	—	89	1	no	—
844	#2359	—	89	1	no	—
845	#2358	—	89	1	no	—
846	#2353	—	89	1	no	—
847	#2353	—	89	1	no	—
848	#2342	—	89	1	no	—
849	#2342	—	89	1	no	—
850	#2339	—	89	1	no	—
851	D₄×C₂²⋊C₄	—	89	1	no	—
852	#2337	—	89	1	no	—
853	#2335	—	89	1	no	—
854	#2333	—	89	1	no	—
855	#2332	—	89	1	no	—
856	#2325	—	89	1	no	—
857	#2322	—	89	1	no	—
858	#2321	—	89	1	no	—
859	#2321	—	89	1	no	—
860	#2319	—	89	1	no	—
861	#2312	—	89	1	no	—
862	#2311	—	89	1	no	—
863	#2308	—	89	1	no	—
864	C₄×#121	—	89	1	no	—
865	#2290	D₈₉	1	1	yes	characteristic, complemented
866	C₂×#388	—	89	1	no	—
867	C₈₉	#34492	1	1	yes	characteristic, complemented, Sylow
868	C₂²×#41	—	89	1	no	—
869	C₂³×D₄	—	89	1	no	—
870	#546	—	89	16	no	—
871	C₂×#124	—	89	1	no	—
872	C₂×#123	—	89	1	no	—
873	C₂×#123	—	89	1	no	—
874	C₂×C₂²⋊Q₈	—	89	1	no	—
875	C₂×#121	—	89	1	no	—
876	C₂×#121	—	89	1	no	—
877	C₂×#121	—	89	1	no	—
878	C₂×#120	—	89	1	no	—
879	C₂×#120	—	89	1	no	—
880	C₂×C₄×D₄	—	89	1	no	—
881	C₂×C₄×D₄	—	89	1	no	—
882	C₂×C₄×D₄	—	89	1	no	—
883	C₂×C₄×D₄	—	89	1	no	—
884	C₂×C₄×D₄	—	89	1	no	—
885	C₂×C₄×D₄	—	89	1	no	—
886	C₂×C₄×D₄	—	89	1	no	—
887	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
888	C₂×#117	—	89	1	no	—
889	C₂×#117	C₂×D₈₉	1	1	yes	characteristic, complemented
890	C₂²×C₄⋊C₄	—	89	1	no	—
891	C₂²×C₂²⋊C₄	—	89	1	no	—
892	C₂²×C₂²⋊C₄	—	89	1	no	—
893	C₂²×C₂²⋊C₄	—	89	1	no	—
894	C₂²×C₂²⋊C₄	—	89	1	no	—
895	C₂²×C₂²⋊C₄	—	89	1	no	—
896	C₂²×C₂²⋊C₄	—	89	1	no	—
897	C₂²×C₄²	C₂×D₈₉	1	1	yes	characteristic, complemented
898	#391	—	89	1	no	—
899	#391	—	89	1	no	—
900	#391	—	89	1	no	—
901	#391	—	89	1	no	—
902	#390	—	89	1	no	—
903	#390	—	89	1	no	—
904	#390	—	89	1	no	—
905	#390	—	89	1	no	—
906	#390	—	89	1	no	—
907	#390	—	89	1	no	—
908	#390	—	89	1	no	—
909	#390	—	89	1	no	—
910	#389	—	89	1	no	—
911	#389	—	89	1	no	—
912	#389	—	89	1	no	—
913	#389	—	89	1	no	—
914	#388	—	89	1	no	—
915	#388	—	89	1	no	—
916	#388	—	89	1	no	—
917	#388	—	89	1	no	—
918	#388	—	89	1	no	—
919	#388	—	89	1	no	—
920	#388	—	89	1	no	—
921	#388	—	89	1	no	—
922	#388	—	89	1	no	—
923	#388	—	89	1	no	—
924	#388	—	89	1	no	—
925	#388	—	89	1	no	—
926	#388	—	89	1	no	—
927	#388	—	89	1	no	—
928	#388	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	—	89	1	no	—
931	#388	—	89	1	no	—
932	#388	—	89	1	no	—
933	#388	—	89	1	no	—
934	#388	—	89	1	no	—
935	#388	—	89	1	no	—
936	#388	—	89	1	no	—
937	#388	—	89	1	no	—
938	#388	—	89	1	no	—
939	#388	—	89	1	no	—
940	#388	—	89	1	no	—
941	#388	—	89	1	no	—
942	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
943	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
944	#387	—	89	1	no	—
945	#387	—	89	1	no	—
946	#387	—	89	1	no	—
947	#387	—	89	1	no	—
948	#387	—	89	1	no	—
949	#387	—	89	1	no	—
950	#387	—	89	1	no	—
951	#387	—	89	1	no	—
952	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
953	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
954	#386	—	89	1	no	—
955	#386	—	89	1	no	—
956	#386	—	89	1	no	—
957	#386	—	89	1	no	—
958	#386	—	89	1	no	—
959	#386	—	89	1	no	—
960	#386	—	89	1	no	—
961	#386	—	89	1	no	—
962	#386	—	89	1	no	—
963	#386	—	89	1	no	—
964	#386	—	89	1	no	—
965	#386	—	89	1	no	—
966	#386	—	89	1	no	—
967	#386	—	89	1	no	—
968	#386	—	89	1	no	—
969	#386	—	89	1	no	—
970	#386	—	89	1	no	—
971	#386	—	89	1	no	—
972	#386	—	89	1	no	—
973	#386	—	89	1	no	—
974	#386	C₂×D₈₉	1	1	yes	characteristic
975	#386	C₂×D₈₉	1	1	yes	characteristic
976	#385	—	89	1	no	—
977	#385	—	89	1	no	—
978	#385	—	89	1	no	—
979	#385	—	89	1	no	—
980	#385	—	89	1	no	—
981	#385	—	89	1	no	—
982	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
983	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
984	#383	—	89	1	no	—
985	#381	—	89	1	no	—
986	#381	—	89	1	no	—
987	#381	—	89	1	no	—
988	#381	—	89	1	no	—
989	#381	—	89	1	no	—
990	#380	—	89	1	no	—
991	#380	—	89	1	no	—
992	#380	—	89	1	no	—
993	#380	—	89	1	no	—
994	#380	—	89	1	no	—
995	#380	—	89	1	no	—
996	#380	—	89	1	no	—
997	#379	—	89	1	no	—
998	#379	—	89	1	no	—
999	#379	—	89	1	no	—
1000	#379	—	89	1	no	—
1001	C₄×C₄⋊C₄	—	89	1	no	—
1002	C₄×C₄⋊C₄	—	89	1	no	—
1003	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
1004	C₄×C₂²⋊C₄	—	89	1	no	—
1005	C₄×C₂²⋊C₄	—	89	1	no	—
1006	C₄×C₂²⋊C₄	—	89	1	no	—
1007	C₄×C₂²⋊C₄	—	89	1	no	—
1008	C₄×C₂²⋊C₄	—	89	1	no	—
1009	C₄×C₂²⋊C₄	—	89	1	no	—
1010	C₄×C₂²⋊C₄	—	89	1	no	—
1011	C₄×C₂²⋊C₄	—	89	1	no	—
1012	C₄×C₂²⋊C₄	—	89	1	no	—
1013	C₄×C₂²⋊C₄	—	89	1	no	—
1014	C₄×C₂²⋊C₄	—	89	1	no	—
1015	C₄×C₂²⋊C₄	—	89	1	no	—
1016	C₄×C₂²⋊C₄	—	89	1	no	—
1017	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
1018	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
1019	#376	—	89	1	no	—
1020	#376	C₂×D₈₉	1	1	yes	characteristic, complemented
1021	C₂×#95	—	89	1	no	—
1022	C₂×#95	—	89	1	no	—
1023	C₂×#95	—	89	1	no	—
1024	C₂⁵	—	89	1	no	—
1025	C₂⁵	—	89	1	no	—
1026	C₂×#41	—	89	8	no	—
1027	C₂×#41	—	356	2	no	—
1028	C₂×#41	—	356	2	no	—
1029	C₂²×Q₈	—	89	1	no	—
1030	C₂²×D₄	—	89	1	no	—
1031	C₂²×D₄	—	89	1	no	—
1032	C₂²×D₄	—	89	1	no	—
1033	C₂²×D₄	—	89	1	no	—
1034	C₂²×D₄	—	89	8	no	—
1035	C₂²×D₄	—	89	1	no	—
1036	C₂²×D₄	—	89	1	no	—
1037	C₂²×D₄	—	89	1	no	—
1038	C₂²×D₄	—	89	1	no	—
1039	C₂²×D₄	—	356	2	no	—
1040	C₂²×D₄	—	356	2	no	—
1041	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1042	C₂³×C₄	—	89	1	no	—
1043	C₂³×C₄	—	89	1	no	—
1044	C₂³×C₄	—	89	1	no	—
1045	C₂³×C₄	—	89	1	no	—
1046	C₂³×C₄	—	89	1	no	—
1047	C₂³×C₄	—	89	1	no	—
1048	C₂³×C₄	—	89	1	no	—
1049	C₂³×C₄	—	89	1	no	—
1050	C₂³×C₄	—	89	1	no	—
1051	C₂³×C₄	—	89	1	no	—
1052	C₂³×C₄	—	89	1	no	—
1053	C₂³×C₄	—	89	1	no	—
1054	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1055	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1056	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1057	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1058	#124	—	89	8	no	—
1059	#123	—	89	8	no	—
1060	#123	—	89	8	no	—
1061	C₂²⋊Q₈	—	89	8	no	—
1062	#121	—	89	8	no	—
1063	#121	—	89	8	no	—
1064	#121	—	89	8	no	—
1065	#120	—	89	8	no	—
1066	#120	—	89	8	no	—
1067	C₄×D₄	—	89	8	no	—
1068	C₄×D₄	—	356	2	no	—
1069	C₄×D₄	—	356	2	no	—
1070	C₄×D₄	—	356	2	no	—
1071	C₄×D₄	—	356	2	no	—
1072	C₄×D₄	—	356	2	no	—
1073	C₄×D₄	—	356	2	no	—
1074	C₄×D₄	C₄×D₈₉	1	8	yes	complemented
1075	#117	—	4	2	no	—
1076	#117	—	356	2	no	—
1077	C₂×C₄⋊C₄	—	89	1	no	—
1078	C₂×C₄⋊C₄	—	89	1	no	—
1079	C₂×C₄⋊C₄	—	89	1	no	—
1080	C₂×C₄⋊C₄	—	89	1	no	—
1081	C₂×C₄⋊C₄	—	89	1	no	—
1082	C₂×C₄⋊C₄	—	89	1	no	—
1083	C₂×C₄⋊C₄	—	89	1	no	—
1084	C₂×C₄⋊C₄	—	89	1	no	—
1085	C₂×C₄⋊C₄	—	89	1	no	—
1086	C₂×C₄⋊C₄	—	89	1	no	—
1087	C₂×C₄⋊C₄	—	89	1	no	—
1088	C₂×C₄⋊C₄	—	89	1	no	—
1089	C₂×C₄⋊C₄	—	89	1	no	—
1090	C₂×C₄⋊C₄	—	89	1	no	—
1091	C₂×C₄⋊C₄	—	89	1	no	—
1092	C₂×C₄⋊C₄	—	356	2	no	—
1093	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	—	89	8	no	—
1099	C₂×C₂²⋊C₄	—	89	8	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	89	1	no	—
1107	C₂×C₂²⋊C₄	—	89	1	no	—
1108	C₂×C₂²⋊C₄	—	89	1	no	—
1109	C₂×C₂²⋊C₄	—	89	1	no	—
1110	C₂×C₂²⋊C₄	—	89	1	no	—
1111	C₂×C₂²⋊C₄	—	89	1	no	—
1112	C₂×C₂²⋊C₄	—	89	1	no	—
1113	C₂×C₂²⋊C₄	—	89	1	no	—
1114	C₂×C₂²⋊C₄	—	89	1	no	—
1115	C₂×C₂²⋊C₄	—	89	1	no	—
1116	C₂×C₂²⋊C₄	—	89	1	no	—
1117	C₂×C₂²⋊C₄	—	89	1	no	—
1118	C₂×C₂²⋊C₄	—	89	1	no	—
1119	C₂×C₂²⋊C₄	—	89	1	no	—
1120	C₂×C₂²⋊C₄	—	89	1	no	—
1121	C₂×C₂²⋊C₄	—	89	1	no	—
1122	C₂×C₂²⋊C₄	—	89	1	no	—
1123	C₂×C₂²⋊C₄	—	89	1	no	—
1124	C₂×C₂²⋊C₄	—	89	1	no	—
1125	C₂×C₂²⋊C₄	—	89	1	no	—
1126	C₂×C₂²⋊C₄	—	89	1	no	—
1127	C₂×C₂²⋊C₄	—	89	1	no	—
1128	C₂×C₂²⋊C₄	—	89	1	no	—
1129	C₂×C₂²⋊C₄	—	89	1	no	—
1130	C₂×C₂²⋊C₄	—	89	1	no	—
1131	C₂×C₂²⋊C₄	—	89	1	no	—
1132	C₂×C₂²⋊C₄	—	89	1	no	—
1133	C₂×C₂²⋊C₄	—	89	1	no	—
1134	C₂×C₂²⋊C₄	—	89	1	no	—
1135	C₂×C₂²⋊C₄	—	89	1	no	—
1136	C₂×C₂²⋊C₄	—	89	1	no	—
1137	C₂×C₂²⋊C₄	—	89	1	no	—
1138	C₂×C₂²⋊C₄	—	89	1	no	—
1139	C₂×C₂²⋊C₄	—	89	1	no	—
1140	C₂×C₂²⋊C₄	—	89	1	no	—
1141	C₂×C₂²⋊C₄	—	89	1	no	—
1142	C₂×C₂²⋊C₄	—	356	2	no	—
1143	C₂×C₂²⋊C₄	—	356	2	no	—
1144	C₂×C₂²⋊C₄	—	356	2	no	—
1145	C₂×C₂²⋊C₄	—	356	2	no	—
1146	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1154	C₂×C₄²	—	4	2	no	—
1155	C₂×C₄²	—	89	1	no	—
1156	C₂×C₄²	—	89	1	no	—
1157	C₂×C₄²	—	89	1	no	—
1158	C₂×C₄²	—	89	1	no	—
1159	C₂×C₄²	—	89	1	no	—
1160	C₂×C₄²	—	89	1	no	—
1161	C₂×C₄²	—	89	1	no	—
1162	C₂×C₄²	—	89	1	no	—
1163	C₂×C₄²	—	89	1	no	—
1164	C₂×C₄²	—	89	1	no	—
1165	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1166	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1167	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1168	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1169	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1170	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1171	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1172	#95	—	89	1	no	—
1173	#95	—	89	1	no	—
1174	#95	—	89	1	no	—
1175	#95	—	89	1	no	—
1176	#95	—	89	1	no	—
1177	#95	—	89	1	no	—
1178	#95	—	89	1	no	—
1179	#95	—	89	1	no	—
1180	#95	—	89	1	no	—
1181	#95	—	89	1	no	—
1182	#95	—	89	1	no	—
1183	#95	—	89	1	no	—
1184	#95	—	89	1	no	—
1185	#95	—	89	1	no	—
1186	#95	—	89	1	no	—
1187	#95	—	89	1	no	—
1188	#95	—	89	1	no	—
1189	#95	—	89	1	no	—
1190	#95	—	89	1	no	—
1191	#95	—	89	1	no	—
1192	#95	—	89	1	no	—
1193	#95	—	89	1	no	—
1194	#95	—	89	1	no	—
1195	#95	—	89	1	no	—
1196	#95	—	89	1	no	—
1197	#95	—	89	1	no	—
1198	#95	—	89	1	no	—
1199	#95	—	89	1	no	—
1200	#95	—	89	1	no	—
1201	#95	—	89	1	no	—
1202	#95	C₂²×D₈₉	1	1	yes	characteristic
1203	#95	C₂²×D₈₉	1	1	yes	characteristic
1204	#95	C₂²×D₈₉	1	1	yes	characteristic
1205	#95	C₂²×D₈₉	1	1	yes	characteristic
1206	#95	C₂²×D₈₉	1	1	yes	characteristic
1207	#95	C₂²×D₈₉	1	1	yes	characteristic
1208	#95	C₂²×D₈₉	1	1	yes	characteristic
1209	#95	C₂²×D₈₉	1	1	yes	characteristic
1210	#95	C₂²×D₈₉	1	1	yes	characteristic
1211	#95	C₂²×D₈₉	1	1	yes	characteristic
1212	C₂⁴	—	89	4	no	—
1213	C₂⁴	—	89	4	no	—
1214	C₂⁴	—	89	1	no	—
1215	C₂⁴	—	89	1	no	—
1216	C₂⁴	—	89	1	no	—
1217	C₂⁴	—	89	1	no	—
1218	C₂⁴	—	356	1	no	—
1219	C₂⁴	—	356	1	no	—
1220	C₂⁴	—	356	1	no	—
1221	C₂⁴	—	356	1	no	—
1222	C₂⁴	—	356	1	no	—
1223	C₂⁴	—	356	1	no	—
1224	C₂⁴	—	356	1	no	—
1225	C₂⁴	—	356	1	no	—
1226	C₂⁴	—	356	1	no	—
1227	C₂⁴	—	356	1	no	—
1228	C₂⁴	—	178	2	no	—
1229	C₂⁴	—	178	2	no	—
1230	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1231	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1232	#41	—	356	16	no	—
1233	C₂×Q₈	—	89	4	no	—
1234	C₂×Q₈	—	356	1	no	—
1235	C₂×Q₈	—	356	1	no	—
1236	C₂×D₄	—	2	2	no	—
1237	C₂×D₄	—	2	2	no	—
1238	C₂×D₄	—	89	4	no	—
1239	C₂×D₄	—	89	4	no	—
1240	C₂×D₄	—	89	4	no	—
1241	C₂×D₄	—	89	4	no	—
1242	C₂×D₄	—	89	4	no	—
1243	C₂×D₄	—	89	4	no	—
1244	C₂×D₄	—	89	4	no	—
1245	C₂×D₄	—	89	4	no	—
1246	C₂×D₄	—	356	1	no	—
1247	C₂×D₄	—	356	1	no	—
1248	C₂×D₄	—	356	1	no	—
1249	C₂×D₄	—	356	1	no	—
1250	C₂×D₄	—	356	1	no	—
1251	C₂×D₄	—	356	1	no	—
1252	C₂×D₄	—	356	1	no	—
1253	C₂×D₄	—	356	1	no	—
1254	C₂×D₄	—	356	16	no	—
1255	C₂×D₄	—	356	1	no	—
1256	C₂×D₄	—	356	1	no	—
1257	C₂×D₄	—	356	1	no	—
1258	C₂×D₄	—	356	1	no	—
1259	C₂×D₄	—	178	2	no	—
1260	C₂×D₄	—	178	2	no	—
1261	C₂×D₄	—	178	2	no	—
1262	C₂×D₄	—	178	2	no	—
1263	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	2	no	—
1266	C₂²×C₄	—	2	2	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	1	no	—
1269	C₂²×C₄	—	4	1	no	—
1270	C₂²×C₄	—	4	1	no	—
1271	C₂²×C₄	—	4	1	no	—
1272	C₂²×C₄	—	4	1	no	—
1273	C₂²×C₄	—	4	1	no	—
1274	C₂²×C₄	—	89	4	no	—
1275	C₂²×C₄	—	89	4	no	—
1276	C₂²×C₄	—	89	1	no	—
1277	C₂²×C₄	—	89	1	no	—
1278	C₂²×C₄	—	89	1	no	—
1279	C₂²×C₄	—	89	1	no	—
1280	C₂²×C₄	—	89	4	no	—
1281	C₂²×C₄	—	89	4	no	—
1282	C₂²×C₄	—	89	1	no	—
1283	C₂²×C₄	—	89	1	no	—
1284	C₂²×C₄	—	89	1	no	—
1285	C₂²×C₄	—	89	1	no	—
1286	C₂²×C₄	—	89	1	no	—
1287	C₂²×C₄	—	89	1	no	—
1288	C₂²×C₄	—	89	1	no	—
1289	C₂²×C₄	—	89	1	no	—
1290	C₂²×C₄	—	356	1	no	—
1291	C₂²×C₄	—	356	1	no	—
1292	C₂²×C₄	—	356	1	no	—
1293	C₂²×C₄	—	356	1	no	—
1294	C₂²×C₄	—	356	1	no	—
1295	C₂²×C₄	—	356	1	no	—
1296	C₂²×C₄	—	356	1	no	—
1297	C₂²×C₄	—	356	1	no	—
1298	C₂²×C₄	—	356	1	no	—
1299	C₂²×C₄	—	356	1	no	—
1300	C₂²×C₄	—	356	1	no	—
1301	C₂²×C₄	—	356	1	no	—
1302	C₂²×C₄	—	356	1	no	—
1303	C₂²×C₄	—	356	1	no	—
1304	C₂²×C₄	—	356	1	no	—
1305	C₂²×C₄	—	356	1	no	—
1306	C₂²×C₄	—	356	1	no	—
1307	C₂²×C₄	—	356	1	no	—
1308	C₂²×C₄	—	356	1	no	—
1309	C₂²×C₄	—	356	1	no	—
1310	C₂²×C₄	—	356	1	no	—
1311	C₂²×C₄	—	356	1	no	—
1312	C₂²×C₄	—	356	1	no	—
1313	C₂²×C₄	—	356	1	no	—
1314	C₂²×C₄	—	356	1	no	—
1315	C₂²×C₄	—	356	1	no	—
1316	C₂²×C₄	—	178	2	no	—
1317	C₂²×C₄	—	178	2	no	—
1318	C₂²×C₄	—	178	2	no	—
1319	C₂²×C₄	—	178	2	no	—
1320	C₂²×C₄	—	178	2	no	—
1321	C₂²×C₄	—	178	2	no	—
1322	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1323	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1324	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1325	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1326	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1327	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1328	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1329	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1330	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1331	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1334	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	4	1	no	—
1339	C₄⋊C₄	—	4	1	no	—
1340	C₄⋊C₄	—	4	1	no	—
1341	C₄⋊C₄	—	89	4	no	—
1342	C₄⋊C₄	—	89	4	no	—
1343	C₄⋊C₄	—	89	4	no	—
1344	C₄⋊C₄	—	356	1	no	—
1345	C₄⋊C₄	—	356	1	no	—
1346	C₄⋊C₄	—	356	1	no	—
1347	C₄⋊C₄	—	356	1	no	—
1348	C₄⋊C₄	—	356	1	no	—
1349	C₄⋊C₄	—	356	1	no	—
1350	C₄⋊C₄	—	356	1	no	—
1351	C₄⋊C₄	—	356	1	no	—
1352	C₄⋊C₄	—	356	1	no	—
1353	C₄⋊C₄	—	356	1	no	—
1354	C₄⋊C₄	—	356	1	no	—
1355	C₄⋊C₄	—	356	1	no	—
1356	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1357	C₂²⋊C₄	—	2	2	no	—
1358	C₂²⋊C₄	—	2	2	no	—
1359	C₂²⋊C₄	—	2	2	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	89	4	no	—
1364	C₂²⋊C₄	—	89	4	no	—
1365	C₂²⋊C₄	—	89	4	no	—
1366	C₂²⋊C₄	—	89	4	no	—
1367	C₂²⋊C₄	—	89	4	no	—
1368	C₂²⋊C₄	—	89	4	no	—
1369	C₂²⋊C₄	—	89	4	no	—
1370	C₂²⋊C₄	—	89	4	no	—
1371	C₂²⋊C₄	—	89	4	no	—
1372	C₂²⋊C₄	—	89	4	no	—
1373	C₂²⋊C₄	—	356	1	no	—
1374	C₂²⋊C₄	—	356	1	no	—
1375	C₂²⋊C₄	—	356	1	no	—
1376	C₂²⋊C₄	—	356	1	no	—
1377	C₂²⋊C₄	—	356	1	no	—
1378	C₂²⋊C₄	—	356	1	no	—
1379	C₂²⋊C₄	—	356	1	no	—
1380	C₂²⋊C₄	—	356	1	no	—
1381	C₂²⋊C₄	—	356	1	no	—
1382	C₂²⋊C₄	—	356	1	no	—
1383	C₂²⋊C₄	—	356	1	no	—
1384	C₂²⋊C₄	—	356	1	no	—
1385	C₂²⋊C₄	—	356	1	no	—
1386	C₂²⋊C₄	—	356	1	no	—
1387	C₂²⋊C₄	—	356	1	no	—
1388	C₂²⋊C₄	—	356	1	no	—
1389	C₂²⋊C₄	—	356	1	no	—
1390	C₂²⋊C₄	—	356	1	no	—
1391	C₂²⋊C₄	—	356	1	no	—
1392	C₂²⋊C₄	—	356	1	no	—
1393	C₂²⋊C₄	—	356	1	no	—
1394	C₂²⋊C₄	—	356	1	no	—
1395	C₂²⋊C₄	—	356	1	no	—
1396	C₂²⋊C₄	—	356	1	no	—
1397	C₂²⋊C₄	—	356	1	no	—
1398	C₂²⋊C₄	—	356	1	no	—
1399	C₂²⋊C₄	—	356	1	no	—
1400	C₂²⋊C₄	—	356	1	no	—
1401	C₂²⋊C₄	—	178	2	no	—
1402	C₂²⋊C₄	—	178	2	no	—
1403	C₂²⋊C₄	—	178	2	no	—
1404	C₂²⋊C₄	—	178	2	no	—
1405	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1406	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1407	C₄²	—	2	2	no	—
1408	C₄²	—	2	2	no	—
1409	C₄²	—	4	1	no	—
1410	C₄²	—	4	1	no	—
1411	C₄²	—	4	1	no	—
1412	C₄²	—	4	1	no	—
1413	C₄²	—	356	1	no	—
1414	C₄²	—	356	1	no	—
1415	C₄²	—	356	1	no	—
1416	C₄²	—	356	1	no	—
1417	C₄²	—	356	1	no	—
1418	C₄²	—	356	1	no	—
1419	C₄²	—	356	1	no	—
1420	C₄²	—	356	1	no	—
1421	C₄²	—	356	1	no	—
1422	C₄²	—	356	1	no	—
1423	C₄²	C₂×C₄×D₈₉	1	4	yes	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	89	2	no	—
1435	C₂³	—	89	2	no	—
1436	C₂³	—	89	2	no	—
1437	C₂³	—	89	2	no	—
1438	C₂³	—	356	4	no	—
1439	C₂³	—	356	4	no	—
1440	C₂³	—	356	4	no	—
1441	C₂³	—	356	4	no	—
1442	C₂³	—	356	4	no	—
1443	C₂³	—	178	1	no	—
1444	C₂³	—	178	1	no	—
1445	C₂³	—	178	1	no	—
1446	C₂³	—	178	1	no	—
1447	C₂³	—	178	1	no	—
1448	C₂³	—	178	1	no	—
1449	C₂³	—	178	1	no	—
1450	C₂³	—	178	1	no	—
1451	C₂³	—	178	1	no	—
1452	C₂³	—	178	1	no	—
1453	C₂³	—	178	1	no	—
1454	C₂³	—	178	1	no	—
1455	C₂³	—	178	1	no	—
1456	C₂³	—	178	1	no	—
1457	C₂³	—	178	1	no	—
1458	C₂³	—	178	1	no	—
1459	C₂³	—	178	1	no	—
1460	C₂³	—	178	1	no	—
1461	C₂³	—	178	1	no	—
1462	C₂³	—	178	1	no	—
1463	C₂³	—	178	1	no	—
1464	C₂³	—	178	1	no	—
1465	C₂³	—	178	1	no	—
1466	C₂³	—	178	1	no	—
1467	C₂³	—	178	8	no	—
1468	C₂³	—	712	2	no	—
1469	C₂³	—	712	2	no	—
1470	C₂³	—	712	2	no	—
1471	C₂³	—	712	2	no	—
1472	C₂³	—	712	2	no	—
1473	C₂³	—	712	2	no	—
1474	C₂³	—	712	2	no	—
1475	C₂³	—	712	2	no	—
1476	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1477	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1478	C₂³	#15668058	1	2	yes	—
1479	C₂³	#15668058	1	2	yes	—
1480	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1481	Q₈	—	356	4	no	—
1482	D₄	—	2	8	no	—
1483	D₄	—	356	4	no	—
1484	D₄	—	356	4	no	—
1485	D₄	—	356	4	no	—
1486	D₄	—	356	4	no	—
1487	D₄	—	356	4	no	—
1488	D₄	—	356	4	no	—
1489	D₄	—	178	8	no	—
1490	D₄	—	178	8	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	89	2	no	—
1529	C₂×C₄	—	89	2	no	—
1530	C₂×C₄	—	89	2	no	—
1531	C₂×C₄	—	89	2	no	—
1532	C₂×C₄	—	356	4	no	—
1533	C₂×C₄	—	356	4	no	—
1534	C₂×C₄	—	356	4	no	—
1535	C₂×C₄	—	178	1	no	—
1536	C₂×C₄	—	178	1	no	—
1537	C₂×C₄	—	178	1	no	—
1538	C₂×C₄	—	178	1	no	—
1539	C₂×C₄	—	178	1	no	—
1540	C₂×C₄	—	178	1	no	—
1541	C₂×C₄	—	178	1	no	—
1542	C₂×C₄	—	178	1	no	—
1543	C₂×C₄	—	178	1	no	—
1544	C₂×C₄	—	178	1	no	—
1545	C₂×C₄	—	178	1	no	—
1546	C₂×C₄	—	178	1	no	—
1547	C₂×C₄	—	178	1	no	—
1548	C₂×C₄	—	178	1	no	—
1549	C₂×C₄	—	178	1	no	—
1550	C₂×C₄	—	178	1	no	—
1551	C₂×C₄	—	178	1	no	—
1552	C₂×C₄	—	178	1	no	—
1553	C₂×C₄	—	178	1	no	—
1554	C₂×C₄	—	178	1	no	—
1555	C₂×C₄	—	178	1	no	—
1556	C₂×C₄	—	178	1	no	—
1557	C₂×C₄	—	178	1	no	—
1558	C₂×C₄	—	178	1	no	—
1559	C₂×C₄	—	178	1	no	—
1560	C₂×C₄	—	178	1	no	—
1561	C₂×C₄	—	178	1	no	—
1562	C₂×C₄	—	178	1	no	—
1563	C₂×C₄	—	178	1	no	—
1564	C₂×C₄	—	178	1	no	—
1565	C₂×C₄	—	178	1	no	—
1566	C₂×C₄	—	178	1	no	—
1567	C₂×C₄	—	178	8	no	—
1568	C₂×C₄	—	712	2	no	—
1569	C₂×C₄	—	712	2	no	—
1570	C₂×C₄	—	712	2	no	—
1571	C₂×C₄	—	712	2	no	—
1572	C₂×C₄	—	712	2	no	—
1573	C₂×C₄	—	712	2	no	—
1574	C₂×C₄	—	712	2	no	—
1575	C₂×C₄	—	712	2	no	—
1576	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1577	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1578	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1579	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1580	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1581	C₂×C₄	#15668057	1	2	yes	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	2	2	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	2	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	356	1	no	—
1596	C₂²	—	356	1	no	—
1597	C₂²	—	356	1	no	—
1598	C₂²	—	356	1	no	—
1599	C₂²	—	356	1	no	—
1600	C₂²	—	356	1	no	—
1601	C₂²	—	356	1	no	—
1602	C₂²	—	356	1	no	—
1603	C₂²	—	356	1	no	—
1604	C₂²	—	356	1	no	—
1605	C₂²	—	356	1	no	—
1606	C₂²	—	356	1	no	—
1607	C₂²	—	356	1	no	—
1608	C₂²	—	356	1	no	—
1609	C₂²	—	356	1	no	—
1610	C₂²	—	356	1	no	—
1611	C₂²	—	178	2	no	—
1612	C₂²	—	178	2	no	—
1613	C₂²	—	178	2	no	—
1614	C₂²	—	178	2	no	—
1615	C₂²	—	178	2	no	—
1616	C₂²	—	178	2	no	—
1617	C₂²	—	178	2	no	—
1618	C₂²	—	178	2	no	—
1619	C₂²	—	178	2	no	—
1620	C₂²	—	178	2	no	—
1621	C₂²	—	178	2	no	—
1622	C₂²	—	178	2	no	—
1623	C₂²	—	712	8	no	—
1624	C₂²	—	712	8	no	—
1625	C₂²	#19152072	1	4	yes	—
1626	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1627	C₂²	C₂×#15668057	1	1	yes	characteristic
1628	C₂²	C₂×#15668058	1	1	yes	characteristic
1629	C₂²	C₂×#15668058	1	1	yes	characteristic
1630	C₂²	#19152434	1	1	yes	characteristic
1631	C₂²	#19152434	1	1	yes	characteristic
1632	C₂²	#19152434	1	1	yes	characteristic
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	2	no	—
1636	C₄	—	2	2	no	—
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	356	1	no	—
1647	C₄	—	356	1	no	—
1648	C₄	—	356	1	no	—
1649	C₄	—	356	1	no	—
1650	C₄	—	356	1	no	—
1651	C₄	—	356	1	no	—
1652	C₄	—	356	1	no	—
1653	C₄	—	356	1	no	—
1654	C₄	—	178	2	no	—
1655	C₄	—	178	2	no	—
1656	C₄	—	178	2	no	—
1657	C₄	—	178	2	no	—
1658	C₂	—	2	4	no	—
1659	C₂	—	4	2	no	—
1660	C₂	—	356	2	no	—
1661	C₂	—	356	2	no	—
1662	C₂	—	356	2	no	—
1663	C₂	—	356	2	no	—
1664	C₂	C₂×#19152072	1	1	yes	characteristic
1665	C₂	#26033451	1	1	yes	characteristic
1666	C₂	C₄×#15668057	1	1	yes	characteristic
1667	C₂	#26034436	1	1	yes	characteristic
1668	C₂	#26034560	1	1	yes	characteristic
1669	C₂	#26034604	1	1	yes	characteristic
1670	C₂	#26034798	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2290	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂×#19152243	C₂
hypercenter	#2290	D₈₉
hypocenter	C₈₉	#34492
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2290

Complements

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

N	H ≅ G/N	type
2. #26023416	C₂	semidirect
3. #26023407	C₂	semidirect
4. #26023398	C₂	semidirect
5. #26023392	C₂	semidirect
6. #26023362	C₂	semidirect
7. #26023302	C₂	semidirect
8. #26023290	C₂	semidirect
9. #26023242	C₂	semidirect
10. #26023228	C₂	semidirect
11. #26023193	C₂	semidirect
12. #26023192	C₂	semidirect
13. #26023104	C₂	semidirect
14. #26023102	C₂	semidirect
15. #26023078	C₂	semidirect
16. #26023070	C₂	semidirect
17. #26023065	C₂	semidirect
18. #26023047	C₂	semidirect
19. #26023017	C₂	semidirect
20. #26023004	C₂	semidirect
21. #26022951	C₂	semidirect
22. #26022920	C₂	semidirect
23. #26022914	C₂	semidirect
24. #26022909	C₂	semidirect
25. #26022890	C₂	semidirect
26. #26022847	C₂	semidirect
27. #26022839	C₂	semidirect
28. #26022826	C₂	semidirect
29. C₄×#15667986	C₂	semidirect
30. C₂×#19151489	C₂	semidirect
31. C₈₉×#2290	C₂	semidirect
34. #19152243	C₄	semidirect
45. C₂×C₄×D₃₅₆	C₂²	semidirect
46. C₂×#15667974	C₂²	semidirect
48. C₂×C₄×C₂²⋊D₈₉	C₂²	semidirect
50. C₂×#15667972	C₂²	semidirect
51. C₂×#15667968	C₂²	semidirect
52. C₂²×#13083553	C₂²	semidirect
59. #19151502	C₂²	semidirect
60. #19151502	C₂²	semidirect
61. #19151502	C₂²	semidirect
62. #19151502	C₂²	semidirect
63. #19151500	C₂²	semidirect
66. #19151499	C₂²	semidirect
69. #19151498	C₂²	semidirect
70. #19151498	C₂²	semidirect
71. #19151496	C₂²	semidirect
72. #19151494	C₂²	semidirect
73. #19151494	C₂²	semidirect
74. #19151494	C₂²	semidirect
75. #19151491	C₂²	semidirect
76. #19151491	C₂²	semidirect
85. #19151489	C₂²	semidirect
86. #19151489	C₂²	semidirect
87. #19151489	C₂²	semidirect
88. #19151489	C₂²	semidirect
89. #19151489	C₂²	semidirect
90. #19151489	C₂²	semidirect
91. #19151489	C₂²	semidirect
92. #19151489	C₂²	semidirect
95. #19151488	C₂²	semidirect
96. #19151488	C₂²	semidirect
99. #19151487	C₂²	semidirect
100. #19151487	C₂²	semidirect
101. #19151487	C₂²	semidirect
102. #19151487	C₂²	semidirect
103. #19151484	C₂²	semidirect
104. #19151484	C₂²	semidirect
105. #19151483	C₂²	semidirect
106. #19151483	C₂²	semidirect
107. #19151481	C₂²	semidirect
108. #19151481	C₂²	semidirect
109. #19151481	C₂²	semidirect
110. #19151481	C₂²	semidirect
114. #19151477	C₂²	semidirect
121. #19151476	C₂²	semidirect
122. #19151476	C₂²	semidirect
123. #19151476	C₂²	semidirect
124. #19151476	C₂²	semidirect
126. #19151475	C₂²	semidirect
129. #19151474	C₂²	semidirect
130. #19151474	C₂²	semidirect
131. #19151472	C₂²	semidirect
132. #19151472	C₂²	semidirect
133. #19151469	C₂²	semidirect
134. #19151469	C₂²	semidirect
135. #19151469	C₂²	semidirect
136. #19151469	C₂²	semidirect
137. #19151466	C₂²	semidirect
138. #19151461	C₂²	semidirect
141. #19151460	C₂²	semidirect
142. #19151459	C₂²	semidirect
143. #19151458	C₂²	semidirect
145. #19151457	C₂²	semidirect
146. #19151457	C₂²	semidirect
147. #19151456	C₂²	semidirect
148. #19151456	C₂²	semidirect
149. #19151456	C₂²	semidirect
154. C₄⋊C₄×Dic₈₉	C₂²	semidirect
155. C₄×C₄⋊Dic₈₉	C₂²	semidirect
156. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
157. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
158. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
159. C₄×#13083551	C₂²	semidirect
160. C₄×#13083551	C₂²	semidirect
161. C₄×#13083551	C₂²	semidirect
162. C₄×#13083551	C₂²	semidirect
163. C₄×#13083551	C₂²	semidirect
164. C₄×#13083551	C₂²	semidirect
165. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
167. #19151445	C₂²	semidirect
168. #19151445	C₂²	semidirect
169. #19151444	C₂²	semidirect
170. C₂×#15667919	C₂²	semidirect
171. C₂×#15667919	C₂²	semidirect
172. #95×D₈₉	C₂²	semidirect
174. C₂×#117×C₈₉	C₂²	semidirect
175. C₂²×C₄²×C₈₉	C₂²	semidirect
176. #388×C₈₉	C₂²	semidirect
177. #388×C₈₉	C₂²	semidirect
178. #387×C₈₉	C₂²	semidirect
179. #387×C₈₉	C₂²	semidirect
182. #385×C₈₉	C₂²	semidirect
183. #385×C₈₉	C₂²	semidirect
184. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
187. #376×C₈₉	C₂²	semidirect
192. C₂×#13083573	C₂×C₄	semidirect
204. C₂×D₄×D₈₉	C₂×C₄	semidirect
217. #15668000	C₂×C₄	semidirect
218. #15667996	C₂×C₄	semidirect
219. #15667996	C₂×C₄	semidirect
220. #15667992	C₂×C₄	semidirect
221. #15667987	C₂×C₄	semidirect
222. #15667986	C₂×C₄	semidirect
223. #15667986	C₂×C₄	semidirect
224. #15667982	C₂×C₄	semidirect
225. #15667982	C₂×C₄	semidirect
227. C₄×D₃₅₆	C₂×C₄	semidirect
258. C₂×#13083551	C₂×C₄	semidirect
259. C₂×#13083551	C₂×C₄	semidirect
343. C₄×D₄×C₈₉	C₂×C₄	semidirect
865. #2290	D₈₉	semidirect
867. C₈₉	#34492	semidirect
889. C₂×#117	C₂×D₈₉	semidirect
897. C₂²×C₄²	C₂×D₈₉	semidirect
942. #388	C₂×D₈₉	semidirect
943. #388	C₂×D₈₉	semidirect
952. #387	C₂×D₈₉	semidirect
953. #387	C₂×D₈₉	semidirect
982. #385	C₂×D₈₉	semidirect
983. #385	C₂×D₈₉	semidirect
1003. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
1017. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
1018. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
1020. #376	C₂×D₈₉	semidirect
1074. C₄×D₄	C₄×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152243	2
#26023416	2
#26023407	2
#26023398	2
#26023392	2
#26023362	2
#26023302	2
#26023290	2
#26023242	2
#26023228	2
#26023193	2
#26023192	2
#26023104	2
#26023102	2
#26023078	2
#26023070	2
#26023065	2
#26023047	2
#26023017	2
#26023004	2
#26022951	2
#26022920	2
#26022914	2
#26022909	2
#26022890	2
#26022847	2
#26022839	2
#26022826	2
C₄×#15667986	2
C₂×#19151489	2
C₈₉×#2290	2
#34492	89