Subgroups — #36761537

Order 22784.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028530	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028530	C₂	1	1	yes	maximal, characteristic, complemented
3	#26027299	C₂	1	1	yes	maximal, characteristic, complemented
4	#26027291	C₂	1	1	yes	maximal, characteristic, complemented
5	#26027288	C₂	1	1	yes	maximal, characteristic, complemented
6	#26027287	C₂	1	1	yes	maximal, characteristic, complemented
7	#26026817	C₂	1	1	yes	maximal, characteristic, complemented
8	#26026810	C₂	1	1	yes	maximal, characteristic, complemented
9	#26026650	C₂	1	1	yes	maximal, characteristic, complemented
10	#26026640	C₂	1	1	yes	maximal, characteristic, complemented
11	#26026637	C₂	1	1	yes	maximal, characteristic, complemented
12	#26026637	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026634	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026633	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026576	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026575	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026476	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026462	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026063	C₂	1	1	yes	maximal, characteristic, complemented
20	#26025989	C₂	1	1	yes	maximal, characteristic, complemented
21	#26024503	C₂	1	1	yes	maximal, characteristic, complemented
22	#26024378	C₂	1	1	yes	maximal, characteristic, complemented
23	#26024375	C₂	1	1	yes	maximal, characteristic, complemented
24	#26023788	C₂	1	1	yes	maximal, characteristic, complemented
25	#26023786	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023718	C₂	1	1	yes	maximal, characteristic, complemented
27	#26023716	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022912	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022909	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151453	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2480	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁵×D₈₉	C₂²	1	1	yes	characteristic
33	C₂×#15668007	C₂²	1	1	yes	characteristic, complemented
34	C₂×#15668000	C₂²	1	1	yes	characteristic, complemented
35	C₂×#15667998	C₂²	1	1	yes	characteristic, complemented
36	C₂×#15667997	C₂²	1	1	yes	characteristic, complemented
37	C₂×#15667994	C₂²	1	1	yes	characteristic, complemented
38	C₂×#15667989	C₂²	1	1	yes	characteristic, complemented
39	C₂×#15667987	C₂²	1	1	yes	characteristic, complemented
40	C₂×#15667986	C₂²	1	1	yes	characteristic, complemented
41	C₂×#15667985	C₂²	1	1	yes	characteristic, complemented
42	C₂×#15667982	C₂²	1	1	yes	characteristic
43	C₂×#15667982	C₂²	1	1	yes	characteristic
44	C₂×#15667982	C₂²	1	1	yes	characteristic
45	C₂×#15667982	C₂²	1	1	yes	characteristic
46	C₂×#15667982	C₂²	1	1	yes	characteristic
47	C₂×#15667982	C₂²	1	1	yes	characteristic
48	C₂×#15667982	C₂²	1	1	yes	characteristic
49	C₂×#15667982	C₂²	1	1	yes	characteristic
50	C₂×#15667982	C₂²	1	1	yes	characteristic
51	C₂×#15667982	C₂²	1	1	yes	characteristic
52	C₂×#15667982	C₂²	1	1	yes	characteristic
53	C₂×#15667982	C₂²	1	1	yes	characteristic
54	C₂×#15667981	C₂²	1	1	yes	characteristic
55	C₂×#15667981	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic, complemented
57	C₂×#15667972	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
59	C₂²×#13083551	C₂²	1	1	yes	characteristic
60	C₂²×#13083551	C₂²	1	1	yes	characteristic
61	C₂²×#13083551	C₂²	1	1	yes	characteristic
62	C₂²×#13083551	C₂²	1	1	yes	characteristic
63	#19151534	C₂²	1	1	yes	characteristic, complemented
64	#19151533	C₂²	1	1	yes	characteristic, complemented
65	#19151533	C₂²	1	1	yes	characteristic, complemented
66	#19151533	C₂²	1	1	yes	characteristic, complemented
67	#19151527	C₂²	1	1	yes	characteristic, complemented
68	#19151527	C₂²	1	1	yes	characteristic, complemented
69	#19151526	C₂²	1	1	yes	characteristic, complemented
70	#19151526	C₂²	1	1	yes	characteristic, complemented
71	#19151525	C₂²	1	1	yes	characteristic, complemented
72	#19151525	C₂²	1	1	yes	characteristic, complemented
73	#19151525	C₂²	1	1	yes	characteristic, complemented
74	#19151525	C₂²	1	1	yes	characteristic, complemented
75	#19151524	C₂²	1	1	yes	characteristic, complemented
76	#19151522	C₂²	1	1	yes	characteristic, complemented
77	#19151522	C₂²	1	1	yes	characteristic, complemented
78	#19151521	C₂²	1	1	yes	characteristic, complemented
79	#19151520	C₂²	1	1	yes	characteristic, complemented
80	#19151520	C₂²	1	1	yes	characteristic, complemented
81	#19151520	C₂²	1	1	yes	characteristic, complemented
82	#19151520	C₂²	1	1	yes	characteristic, complemented
83	#19151516	C₂²	1	1	yes	characteristic, complemented
84	#19151516	C₂²	1	1	yes	characteristic, complemented
85	#19151516	C₂²	1	1	yes	characteristic, complemented
86	#19151516	C₂²	1	1	yes	characteristic, complemented
87	#19151515	C₂²	1	1	yes	characteristic, complemented
88	#19151515	C₂²	1	1	yes	characteristic, complemented
89	#19151515	C₂²	1	1	yes	characteristic, complemented
90	#19151515	C₂²	1	1	yes	characteristic, complemented
91	#19151515	C₂²	1	1	yes	characteristic, complemented
92	#19151515	C₂²	1	1	yes	characteristic, complemented
93	#19151514	C₂²	1	1	yes	characteristic, complemented
94	#19151514	C₂²	1	1	yes	characteristic, complemented
95	#19151513	C₂²	1	1	yes	characteristic, complemented
96	#19151513	C₂²	1	1	yes	characteristic, complemented
97	#19151513	C₂²	1	1	yes	characteristic, complemented
98	#19151513	C₂²	1	1	yes	characteristic, complemented
99	#19151511	C₂²	1	1	yes	characteristic, complemented
100	#19151511	C₂²	1	1	yes	characteristic, complemented
101	#19151511	C₂²	1	1	yes	characteristic, complemented
102	#19151510	C₂²	1	1	yes	characteristic, complemented
103	#19151508	C₂²	1	1	yes	characteristic, complemented
104	#19151508	C₂²	1	1	yes	characteristic, complemented
105	#19151508	C₂²	1	1	yes	characteristic, complemented
106	#19151507	C₂²	1	1	yes	characteristic, complemented
107	#19151500	C₂²	1	1	yes	characteristic, complemented
108	#19151500	C₂²	1	1	yes	characteristic, complemented
109	#19151500	C₂²	1	1	yes	characteristic, complemented
110	#19151499	C₂²	1	1	yes	characteristic, complemented
111	#19151499	C₂²	1	1	yes	characteristic, complemented
112	#19151499	C₂²	1	1	yes	characteristic, complemented
113	#19151498	C₂²	1	1	yes	characteristic, complemented
114	#19151498	C₂²	1	1	yes	characteristic, complemented
115	#19151492	C₂²	1	1	yes	characteristic, complemented
116	#19151491	C₂²	1	1	yes	characteristic, complemented
117	#19151491	C₂²	1	1	yes	characteristic, complemented
118	#19151491	C₂²	1	1	yes	characteristic, complemented
119	#19151490	C₂²	1	1	yes	characteristic, complemented
120	#19151490	C₂²	1	1	yes	characteristic, complemented
121	#19151490	C₂²	1	1	yes	characteristic, complemented
122	#19151490	C₂²	1	1	yes	characteristic, complemented
123	#19151489	C₂²	1	1	yes	characteristic, complemented
124	#19151489	C₂²	1	1	yes	characteristic, complemented
125	#19151489	C₂²	1	1	yes	characteristic, complemented
126	#19151489	C₂²	1	1	yes	characteristic, complemented
127	#19151488	C₂²	1	1	yes	characteristic, complemented
128	#19151488	C₂²	1	1	yes	characteristic, complemented
129	#19151488	C₂²	1	1	yes	characteristic, complemented
130	#19151488	C₂²	1	1	yes	characteristic, complemented
131	#19151487	C₂²	1	1	yes	characteristic, complemented
132	#19151487	C₂²	1	1	yes	characteristic, complemented
133	#19151487	C₂²	1	1	yes	characteristic, complemented
134	#19151487	C₂²	1	1	yes	characteristic, complemented
135	#19151486	C₂²	1	1	yes	characteristic, complemented
136	#19151477	C₂²	1	1	yes	characteristic, complemented
137	#19151476	C₂²	1	1	yes	characteristic, complemented
138	#19151476	C₂²	1	1	yes	characteristic, complemented
139	#19151476	C₂²	1	1	yes	characteristic, complemented
140	#19151476	C₂²	1	1	yes	characteristic, complemented
141	#19151476	C₂²	1	1	yes	characteristic, complemented
142	#19151476	C₂²	1	1	yes	characteristic, complemented
143	#19151475	C₂²	1	1	yes	characteristic, complemented
144	#19151475	C₂²	1	1	yes	characteristic, complemented
145	#19151475	C₂²	1	1	yes	characteristic, complemented
146	#19151474	C₂²	1	1	yes	characteristic, complemented
147	#19151474	C₂²	1	1	yes	characteristic, complemented
148	#19151473	C₂²	1	1	yes	characteristic, complemented
149	#19151471	C₂²	1	1	yes	characteristic, complemented
150	#19151456	C₂²	1	1	yes	characteristic, complemented
151	#19151453	C₂²	1	1	yes	characteristic
152	#19151453	C₂²	1	1	yes	characteristic
153	#19151453	C₂²	1	1	yes	characteristic
154	#19151453	C₂²	1	1	yes	characteristic
155	#19151453	C₂²	1	1	yes	characteristic
156	#19151453	C₂²	1	1	yes	characteristic
157	#19151453	C₂²	1	1	yes	characteristic
158	#19151453	C₂²	1	1	yes	characteristic
159	#19151453	C₂²	1	1	yes	characteristic
160	#19151453	C₂²	1	1	yes	characteristic
161	#19151453	C₂²	1	1	yes	characteristic
162	#19151453	C₂²	1	1	yes	characteristic
163	#19151453	C₂²	1	1	yes	characteristic
164	#19151453	C₂²	1	1	yes	characteristic
165	#19151453	C₂²	1	1	yes	characteristic
166	#19151453	C₂²	1	1	yes	characteristic
167	#19151453	C₂²	1	1	yes	characteristic
168	#19151453	C₂²	1	1	yes	characteristic
169	#19151453	C₂²	1	1	yes	characteristic
170	#19151453	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
174	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#380×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#379×C₈₉	C₂²	1	1	yes	characteristic
185	#379×C₈₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₈₉	—	2	4	no	—
188	C₂⁴×D₈₉	—	4	2	no	—
189	C₂⁴×D₈₉	—	4	2	no	—
190	C₂⁴×D₈₉	—	4	2	no	—
191	C₂⁴×D₈₉	—	4	2	no	—
192	C₂⁴×D₈₉	—	4	2	no	—
193	C₂⁴×D₈₉	—	4	2	no	—
194	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
195	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
196	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
197	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
198	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
199	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic, complemented
201	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
202	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
203	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
204	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
205	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
206	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
207	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
208	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
209	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic, complemented
210	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
214	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
215	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
216	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic, complemented
219	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic, complemented
220	#15668007	—	4	2	no	—
221	#15668000	—	4	2	no	—
222	#15667998	—	4	2	no	—
223	#15667997	—	4	2	no	—
224	#15667994	—	4	2	no	—
225	#15667989	—	4	2	no	—
226	#15667987	—	4	2	no	—
227	#15667986	—	4	2	no	—
228	#15667985	—	4	2	no	—
229	#15667982	—	2	4	no	—
230	#15667982	—	2	4	no	—
231	#15667982	—	4	2	no	—
232	#15667982	—	4	2	no	—
233	#15667982	—	4	2	no	—
234	#15667982	—	4	2	no	—
235	#15667982	—	4	2	no	—
236	#15667982	—	4	2	no	—
237	#15667982	—	4	2	no	—
238	#15667982	—	4	2	no	—
239	#15667982	—	4	2	no	—
240	#15667982	—	4	2	no	—
241	#15667981	—	4	2	no	—
242	#15667981	—	4	2	no	—
243	C₄×C₂²⋊D₈₉	—	4	2	no	—
244	#15667972	—	4	2	no	—
245	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic, complemented
247	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic, complemented
249	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
250	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
251	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
252	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
253	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
254	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
255	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
256	C₂×#13083553	C₂³	1	1	yes	characteristic, complemented
257	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
258	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×#13083551	—	4	2	no	—
269	C₂×#13083551	—	4	2	no	—
270	C₂×#13083551	—	4	2	no	—
271	C₂×#13083551	—	4	2	no	—
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	C₂×#13083551	C₂³	1	1	yes	characteristic
297	C₂×#13083551	C₂³	1	1	yes	characteristic
298	C₂×#13083551	C₂³	1	1	yes	characteristic
299	C₂×#13083551	C₂³	1	1	yes	characteristic
300	C₂×#13083551	C₂³	1	1	yes	characteristic
301	C₂×#13083551	C₂³	1	1	yes	characteristic
302	C₂×#13083551	C₂³	1	1	yes	characteristic
303	C₂×#13083551	C₂³	1	1	yes	characteristic
304	C₂×#13083551	C₂³	1	1	yes	characteristic
305	C₂×#13083551	C₂³	1	1	yes	characteristic
306	C₂×#13083551	C₂³	1	1	yes	characteristic
307	C₂×#13083551	C₂³	1	1	yes	characteristic
308	C₂×#13083551	C₂³	1	1	yes	characteristic
309	C₂×#13083551	C₂³	1	1	yes	characteristic
310	C₂×#13083551	C₂³	1	1	yes	characteristic
311	C₂×#13083551	C₂³	1	1	yes	characteristic
312	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
313	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
314	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
315	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
316	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
317	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
318	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
319	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
320	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
321	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
322	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
323	C₂×#13083551	C₂³	1	1	yes	characteristic, complemented
324	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic, complemented
325	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic, complemented
326	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic, complemented
327	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic, complemented
328	#15667919	C₂³	1	1	yes	characteristic, complemented
329	#15667919	C₂³	1	1	yes	characteristic, complemented
330	#15667919	C₂³	1	1	yes	characteristic, complemented
331	#15667919	C₂³	1	1	yes	characteristic, complemented
332	#15667919	C₂³	1	1	yes	characteristic, complemented
333	#15667919	C₂³	1	1	yes	characteristic, complemented
334	#15667919	C₂³	1	1	yes	characteristic, complemented
335	#15667919	C₂³	1	1	yes	characteristic, complemented
336	#15667919	C₂³	1	1	yes	characteristic, complemented
337	#15667919	C₂³	1	1	yes	characteristic, complemented
338	#15667919	C₂³	1	1	yes	characteristic, complemented
339	#15667919	C₂³	1	1	yes	characteristic, complemented
340	#15667919	C₂³	1	1	yes	characteristic, complemented
341	#15667919	C₂³	1	1	yes	characteristic, complemented
342	#15667919	C₂³	1	1	yes	characteristic, complemented
343	#15667919	C₂³	1	1	yes	characteristic, complemented
344	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
345	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
347	#126×C₈₉	—	4	2	no	—
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
350	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
351	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
352	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
353	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
354	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
371	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic, complemented
372	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic, complemented
373	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
374	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
375	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
376	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
377	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
378	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
379	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
380	#95×C₈₉	C₂³	1	1	yes	characteristic, complemented
381	C₂³×D₈₉	—	2	2	no	—
382	C₂³×D₈₉	—	2	2	no	—
383	C₂³×D₈₉	—	2	2	no	—
384	C₂³×D₈₉	—	2	2	no	—
385	C₂³×D₈₉	—	2	2	no	—
386	C₂³×D₈₉	—	2	2	no	—
387	C₂³×D₈₉	—	2	2	no	—
388	C₂³×D₈₉	—	2	2	no	—
389	C₂³×D₈₉	—	2	2	no	—
390	C₂³×D₈₉	—	2	2	no	—
391	C₂³×D₈₉	—	2	2	no	—
392	C₂³×D₈₉	—	2	2	no	—
393	C₂³×D₈₉	—	2	2	no	—
394	C₂³×D₈₉	—	2	2	no	—
395	C₂³×D₈₉	—	2	2	no	—
396	C₂³×D₈₉	—	2	2	no	—
397	C₂³×D₈₉	—	2	2	no	—
398	C₂³×D₈₉	—	2	2	no	—
399	C₂³×D₈₉	—	2	2	no	—
400	C₂³×D₈₉	—	4	1	no	—
401	C₂³×D₈₉	—	4	1	no	—
402	C₂³×D₈₉	—	4	1	no	—
403	C₂³×D₈₉	—	4	1	no	—
404	C₂³×D₈₉	—	4	1	no	—
405	C₂³×D₈₉	—	4	1	no	—
406	C₂³×D₈₉	—	4	1	no	—
407	C₂³×D₈₉	—	4	1	no	—
408	C₂³×D₈₉	—	4	1	no	—
409	C₂³×D₈₉	—	4	1	no	—
410	C₂³×D₈₉	—	4	1	no	—
411	C₂³×D₈₉	—	4	1	no	—
412	C₂³×D₈₉	—	4	1	no	—
413	C₂³×D₈₉	—	4	1	no	—
414	C₂³×D₈₉	—	4	1	no	—
415	C₂³×D₈₉	—	4	1	no	—
416	C₂³×D₈₉	—	4	1	no	—
417	C₂³×D₈₉	—	4	1	no	—
418	C₂³×D₈₉	—	4	1	no	—
419	C₂³×D₈₉	—	4	1	no	—
420	C₂³×D₈₉	—	4	1	no	—
421	C₂³×D₈₉	—	4	1	no	—
422	C₂³×D₈₉	—	4	16	no	—
423	C₂³×D₈₉	—	4	16	no	—
424	C₂³×D₈₉	—	4	16	no	—
425	C₂³×D₈₉	—	4	16	no	—
426	C₂³×D₈₉	—	4	16	no	—
427	C₂³×D₈₉	—	4	16	no	—
428	C₂³×D₈₉	—	4	16	no	—
429	C₂³×D₈₉	#41	1	4	yes	—
430	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
431	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
432	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
433	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
434	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
435	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
436	C₂×Dic₁₇₈	—	4	1	no	—
437	C₂×Dic₁₇₈	—	4	1	no	—
438	C₂×Dic₁₇₈	—	4	1	no	—
439	C₂×D₃₅₆	—	2	2	no	—
440	C₂×D₃₅₆	—	2	2	no	—
441	C₂×D₃₅₆	—	2	2	no	—
442	C₂×D₃₅₆	—	2	2	no	—
443	C₂×D₃₅₆	—	2	2	no	—
444	C₂×D₃₅₆	—	2	2	no	—
445	C₂×D₃₅₆	—	2	2	no	—
446	C₂×D₃₅₆	—	2	2	no	—
447	C₂×D₃₅₆	—	4	1	no	—
448	C₂×D₃₅₆	—	4	1	no	—
449	C₂×D₃₅₆	—	4	1	no	—
450	C₂×D₃₅₆	—	4	1	no	—
451	C₂×D₃₅₆	—	4	1	no	—
452	C₂×D₃₅₆	—	4	1	no	—
453	C₂×D₃₅₆	—	4	1	no	—
454	C₂×D₃₅₆	—	4	1	no	—
455	C₂×D₃₅₆	—	4	1	no	—
456	C₂×D₃₅₆	—	4	1	no	—
457	C₂×D₃₅₆	—	4	1	no	—
458	C₂×D₃₅₆	—	4	1	no	—
459	C₂×D₃₅₆	—	4	1	no	—
460	C₂×D₃₅₆	—	4	1	no	—
461	C₂×D₃₅₆	—	4	1	no	—
462	C₂×D₃₅₆	—	4	1	no	—
463	C₂×D₃₅₆	—	4	1	no	—
464	C₂×D₃₅₆	—	4	1	no	—
465	C₂×D₃₅₆	—	4	1	no	—
466	C₂×C₂²⋊D₈₉	—	2	2	no	—
467	C₂×C₂²⋊D₈₉	—	2	2	no	—
468	C₂×C₂²⋊D₈₉	—	2	2	no	—
469	C₂×C₂²⋊D₈₉	—	2	2	no	—
470	C₂×C₂²⋊D₈₉	—	2	2	no	—
471	C₂×C₂²⋊D₈₉	—	2	2	no	—
472	C₂×C₂²⋊D₈₉	—	2	2	no	—
473	C₂×C₂²⋊D₈₉	—	2	2	no	—
474	C₂×C₂²⋊D₈₉	—	2	2	no	—
475	C₂×C₂²⋊D₈₉	—	2	2	no	—
476	C₂×C₂²⋊D₈₉	—	4	1	no	—
477	C₂×C₂²⋊D₈₉	—	4	1	no	—
478	C₂×C₂²⋊D₈₉	—	4	1	no	—
479	C₂×C₂²⋊D₈₉	—	4	1	no	—
480	C₂×C₂²⋊D₈₉	—	4	1	no	—
481	C₂×C₂²⋊D₈₉	—	4	1	no	—
482	C₂×C₂²⋊D₈₉	—	4	1	no	—
483	C₂×C₂²⋊D₈₉	—	4	1	no	—
484	C₂²×Dic₈₉	—	2	2	no	—
485	C₂²×Dic₈₉	—	2	2	no	—
486	C₂²×Dic₈₉	—	4	1	no	—
487	C₂²×Dic₈₉	—	4	1	no	—
488	C₂²×Dic₈₉	—	4	1	no	—
489	C₂²×Dic₈₉	—	4	1	no	—
490	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
491	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
492	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
493	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
495	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
496	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
497	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
500	C₂×C₄×D₈₉	—	4	1	no	—
501	C₂×C₄×D₈₉	—	4	1	no	—
502	C₂×C₄×D₈₉	—	4	1	no	—
503	C₂×C₄×D₈₉	—	4	1	no	—
504	C₂×C₄×D₈₉	—	4	1	no	—
505	C₂×C₄×D₈₉	—	4	1	no	—
506	C₄⋊Dic₈₉	—	4	1	no	—
507	C₄⋊Dic₈₉	—	4	1	no	—
508	C₄⋊Dic₈₉	—	4	1	no	—
509	C₄⋊Dic₈₉	—	4	1	no	—
510	#13083553	—	4	1	no	—
511	#13083553	—	4	1	no	—
512	#13083553	—	4	1	no	—
513	#13083553	—	4	1	no	—
514	#13083553	—	4	1	no	—
515	#13083553	—	4	1	no	—
516	#13083553	—	4	1	no	—
517	#13083553	—	4	1	no	—
518	C₂²⋊Dic₈₉	—	2	2	no	—
519	C₂²⋊Dic₈₉	—	2	2	no	—
520	C₂²⋊Dic₈₉	—	2	2	no	—
521	C₂²⋊Dic₈₉	—	2	2	no	—
522	C₂²⋊Dic₈₉	—	4	1	no	—
523	C₂²⋊Dic₈₉	—	4	1	no	—
524	C₂²⋊Dic₈₉	—	4	1	no	—
525	C₂²⋊Dic₈₉	—	4	1	no	—
526	C₂²⋊Dic₈₉	—	4	1	no	—
527	C₂²⋊Dic₈₉	—	4	1	no	—
528	#13083551	—	2	2	no	—
529	#13083551	—	2	2	no	—
530	#13083551	—	2	2	no	—
531	#13083551	—	2	2	no	—
532	#13083551	—	2	2	no	—
533	#13083551	—	2	2	no	—
534	#13083551	—	2	2	no	—
535	#13083551	—	2	2	no	—
536	#13083551	—	2	2	no	—
537	#13083551	—	2	2	no	—
538	#13083551	—	2	2	no	—
539	#13083551	—	2	2	no	—
540	#13083551	—	4	1	no	—
541	#13083551	—	4	1	no	—
542	#13083551	—	4	1	no	—
543	#13083551	—	4	1	no	—
544	#13083551	—	4	1	no	—
545	#13083551	—	4	1	no	—
546	#13083551	—	4	1	no	—
547	#13083551	—	4	1	no	—
548	#13083551	—	4	1	no	—
549	#13083551	—	4	1	no	—
550	#13083551	—	4	1	no	—
551	#13083551	—	4	1	no	—
552	#13083551	—	4	1	no	—
553	#13083551	—	4	1	no	—
554	#13083551	—	4	1	no	—
555	#13083551	—	4	1	no	—
556	#13083551	—	4	1	no	—
557	#13083551	—	4	1	no	—
558	#13083551	—	4	1	no	—
559	#13083551	—	4	1	no	—
560	#13083551	—	4	1	no	—
561	#13083551	—	4	1	no	—
562	#13083551	—	4	1	no	—
563	#13083551	—	4	1	no	—
564	#13083551	—	4	1	no	—
565	#13083551	—	4	1	no	—
566	#13083551	—	4	1	no	—
567	#13083551	—	4	1	no	—
568	#13083551	—	4	1	no	—
569	#13083551	—	4	1	no	—
570	#13083551	—	4	1	no	—
571	#13083551	—	4	1	no	—
572	#13083551	—	4	1	no	—
573	#13083551	—	4	1	no	—
574	#13083551	—	4	1	no	—
575	#13083551	—	4	1	no	—
576	#13083551	—	4	1	no	—
577	#13083551	—	4	1	no	—
578	#13083551	—	4	1	no	—
579	#13083551	—	4	1	no	—
580	C₄×Dic₈₉	—	4	1	no	—
581	C₄×Dic₈₉	—	4	1	no	—
582	C₄×Dic₈₉	—	4	1	no	—
583	C₄×Dic₈₉	—	4	1	no	—
584	C₂⁴×C₈₉	—	2	2	no	—
585	C₂⁴×C₈₉	—	2	2	no	—
586	C₂⁴×C₈₉	—	2	2	no	—
587	C₂⁴×C₈₉	—	2	2	no	—
588	C₂⁴×C₈₉	—	2	2	no	—
589	C₂⁴×C₈₉	—	4	1	no	—
590	C₂⁴×C₈₉	—	4	1	no	—
591	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
592	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
593	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₈₉	—	2	2	no	—
595	C₂²×C₄×C₈₉	—	2	2	no	—
596	C₂²×C₄×C₈₉	—	4	1	no	—
597	C₂²×C₄×C₈₉	—	4	1	no	—
598	C₂²×C₄×C₈₉	—	4	1	no	—
599	C₂²×C₄×C₈₉	—	4	1	no	—
600	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₈₉	—	4	1	no	—
613	C₄⋊C₄×C₈₉	—	4	1	no	—
614	C₄⋊C₄×C₈₉	—	4	1	no	—
615	C₄⋊C₄×C₈₉	—	4	1	no	—
616	C₄⋊C₄×C₈₉	—	4	1	no	—
617	C₄⋊C₄×C₈₉	—	4	1	no	—
618	C₂²⋊C₄×C₈₉	—	2	2	no	—
619	C₂²⋊C₄×C₈₉	—	2	2	no	—
620	C₂²⋊C₄×C₈₉	—	2	2	no	—
621	C₂²⋊C₄×C₈₉	—	2	2	no	—
622	C₂²⋊C₄×C₈₉	—	2	2	no	—
623	C₂²⋊C₄×C₈₉	—	2	2	no	—
624	C₂²⋊C₄×C₈₉	—	2	2	no	—
625	C₂²⋊C₄×C₈₉	—	2	2	no	—
626	C₂²⋊C₄×C₈₉	—	2	2	no	—
627	C₂²⋊C₄×C₈₉	—	2	2	no	—
628	C₂²⋊C₄×C₈₉	—	4	1	no	—
629	C₂²⋊C₄×C₈₉	—	4	1	no	—
630	C₂²⋊C₄×C₈₉	—	4	1	no	—
631	C₂²⋊C₄×C₈₉	—	4	1	no	—
632	C₂²⋊C₄×C₈₉	—	4	1	no	—
633	C₂²⋊C₄×C₈₉	—	4	1	no	—
634	C₄²×C₈₉	—	4	1	no	—
635	C₄²×C₈₉	—	4	1	no	—
636	C₂³×C₈₉	—	2	1	no	—
637	C₂³×C₈₉	—	2	1	no	—
638	C₂³×C₈₉	—	2	1	no	—
639	C₂³×C₈₉	—	2	1	no	—
640	C₂³×C₈₉	—	2	8	no	—
641	C₂³×C₈₉	—	2	1	no	—
642	C₂³×C₈₉	—	2	1	no	—
643	C₂³×C₈₉	—	2	1	no	—
644	C₂³×C₈₉	—	2	1	no	—
645	C₂³×C₈₉	—	2	1	no	—
646	C₂³×C₈₉	—	2	1	no	—
647	C₂³×C₈₉	—	2	1	no	—
648	C₂³×C₈₉	—	2	1	no	—
649	C₂³×C₈₉	—	2	1	no	—
650	C₂³×C₈₉	—	2	1	no	—
651	C₂³×C₈₉	—	2	1	no	—
652	C₂³×C₈₉	—	2	1	no	—
653	C₂³×C₈₉	—	4	4	no	—
654	C₂³×C₈₉	—	4	4	no	—
655	C₂³×C₈₉	—	4	4	no	—
656	C₂³×C₈₉	—	4	4	no	—
657	C₂³×C₈₉	—	4	4	no	—
658	C₂³×C₈₉	—	4	4	no	—
659	C₂³×C₈₉	C₂×#41	1	2	yes	—
660	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
661	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
662	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
663	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
664	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
665	C₂²×D₈₉	—	2	8	no	—
666	C₂²×D₈₉	—	2	8	no	—
667	C₂²×D₈₉	—	2	1	no	—
668	C₂²×D₈₉	—	2	1	no	—
669	C₂²×D₈₉	—	2	1	no	—
670	C₂²×D₈₉	—	2	1	no	—
671	C₂²×D₈₉	—	2	1	no	—
672	C₂²×D₈₉	—	2	1	no	—
673	C₂²×D₈₉	—	2	1	no	—
674	C₂²×D₈₉	—	2	1	no	—
675	C₂²×D₈₉	—	2	1	no	—
676	C₂²×D₈₉	—	2	1	no	—
677	C₂²×D₈₉	—	2	1	no	—
678	C₂²×D₈₉	—	2	1	no	—
679	C₂²×D₈₉	—	2	1	no	—
680	C₂²×D₈₉	—	2	1	no	—
681	C₂²×D₈₉	—	2	1	no	—
682	C₂²×D₈₉	—	2	1	no	—
683	C₂²×D₈₉	—	2	1	no	—
684	C₂²×D₈₉	—	2	1	no	—
685	C₂²×D₈₉	—	2	1	no	—
686	C₂²×D₈₉	—	2	1	no	—
687	C₂²×D₈₉	—	2	1	no	—
688	C₂²×D₈₉	—	2	1	no	—
689	C₂²×D₈₉	—	2	1	no	—
690	C₂²×D₈₉	—	2	1	no	—
691	C₂²×D₈₉	—	2	1	no	—
692	C₂²×D₈₉	—	2	1	no	—
693	C₂²×D₈₉	—	2	1	no	—
694	C₂²×D₈₉	—	2	1	no	—
695	C₂²×D₈₉	—	2	1	no	—
696	C₂²×D₈₉	—	2	1	no	—
697	C₂²×D₈₉	—	2	1	no	—
698	C₂²×D₈₉	—	2	1	no	—
699	C₂²×D₈₉	—	2	1	no	—
700	C₂²×D₈₉	—	2	1	no	—
701	C₂²×D₈₉	—	2	1	no	—
702	C₂²×D₈₉	—	2	1	no	—
703	C₂²×D₈₉	—	2	1	no	—
704	C₂²×D₈₉	—	2	1	no	—
705	C₂²×D₈₉	—	4	4	no	—
706	C₂²×D₈₉	—	4	4	no	—
707	C₂²×D₈₉	—	4	4	no	—
708	C₂²×D₈₉	—	4	4	no	—
709	C₂²×D₈₉	—	4	4	no	—
710	C₂²×D₈₉	—	4	4	no	—
711	C₂²×D₈₉	—	4	4	no	—
712	C₂²×D₈₉	—	4	4	no	—
713	C₂²×D₈₉	—	4	4	no	—
714	C₂²×D₈₉	—	4	4	no	—
715	C₂²×D₈₉	—	4	4	no	—
716	C₂²×D₈₉	—	4	4	no	—
717	C₂²×D₈₉	—	4	4	no	—
718	C₂²×D₈₉	—	4	4	no	—
719	C₂²×D₈₉	—	4	4	no	—
720	C₂²×D₈₉	—	4	4	no	—
721	C₂²×D₈₉	—	4	4	no	—
722	C₂²×D₈₉	—	4	4	no	—
723	C₂²×D₈₉	—	4	4	no	—
724	C₂²×D₈₉	—	4	4	no	—
725	C₂²×D₈₉	—	4	4	no	—
726	C₂²×D₈₉	—	4	4	no	—
727	C₂²×D₈₉	—	4	4	no	—
728	C₂²×D₈₉	—	4	4	no	—
729	C₂²×D₈₉	—	4	4	no	—
730	C₂²×D₈₉	—	4	4	no	—
731	C₂²×D₈₉	—	4	4	no	—
732	C₂²×D₈₉	—	4	4	no	—
733	C₂²×D₈₉	—	4	4	no	—
734	C₂²×D₈₉	—	4	4	no	—
735	C₂²×D₈₉	—	4	4	no	—
736	C₂²×D₈₉	—	4	4	no	—
737	C₂²×D₈₉	—	4	4	no	—
738	C₂²×D₈₉	—	4	4	no	—
739	C₂²×D₈₉	—	4	4	no	—
740	C₂²×D₈₉	—	4	128	no	—
741	C₂²×D₈₉	—	4	4	no	—
742	C₂²×D₈₉	—	4	4	no	—
743	C₂²×D₈₉	—	4	4	no	—
744	C₂²×D₈₉	—	4	4	no	—
745	C₂²×D₈₉	—	4	4	no	—
746	C₂²×D₈₉	C₂×#41	1	2	yes	—
747	C₂²×D₈₉	C₂×#41	1	2	yes	—
748	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
749	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
750	C₂×C₄×C₈₉	—	2	1	no	—
751	C₂×C₄×C₈₉	—	2	1	no	—
752	C₂×C₄×C₈₉	—	2	1	no	—
753	C₂×C₄×C₈₉	—	2	1	no	—
754	C₂×C₄×C₈₉	—	2	1	no	—
755	C₂×C₄×C₈₉	—	2	1	no	—
756	C₂×C₄×C₈₉	—	2	1	no	—
757	C₂×C₄×C₈₉	—	2	1	no	—
758	C₂×C₄×C₈₉	—	2	1	no	—
759	C₂×C₄×C₈₉	—	2	1	no	—
760	C₂×C₄×C₈₉	—	2	1	no	—
761	C₂×C₄×C₈₉	—	2	1	no	—
762	C₂×C₄×C₈₉	—	2	1	no	—
763	C₂×C₄×C₈₉	—	2	1	no	—
764	C₂×C₄×C₈₉	—	2	1	no	—
765	C₂×C₄×C₈₉	—	2	1	no	—
766	C₂×C₄×C₈₉	—	2	1	no	—
767	C₂×C₄×C₈₉	—	2	1	no	—
768	C₂×C₄×C₈₉	—	2	1	no	—
769	C₂×C₄×C₈₉	—	2	1	no	—
770	C₂×C₄×C₈₉	—	2	1	no	—
771	C₂×C₄×C₈₉	—	2	1	no	—
772	C₂×C₄×C₈₉	—	2	1	no	—
773	C₂×C₄×C₈₉	—	2	1	no	—
774	C₂×C₄×C₈₉	—	2	1	no	—
775	C₂×C₄×C₈₉	—	2	1	no	—
776	C₂×C₄×C₈₉	—	2	1	no	—
777	C₂×C₄×C₈₉	—	2	1	no	—
778	C₂×C₄×C₈₉	—	2	1	no	—
779	C₂×C₄×C₈₉	—	2	1	no	—
780	C₂×C₄×C₈₉	—	2	1	no	—
781	C₂×C₄×C₈₉	—	2	1	no	—
782	C₂×C₄×C₈₉	—	2	1	no	—
783	C₂×C₄×C₈₉	—	2	1	no	—
784	C₂×C₄×C₈₉	—	2	1	no	—
785	C₂×C₄×C₈₉	—	2	1	no	—
786	C₂×C₄×C₈₉	—	8	2	no	—
787	C₂×C₄×C₈₉	—	8	2	no	—
788	C₂²⋊D₈₉	—	4	4	no	—
789	C₂²⋊D₈₉	—	4	4	no	—
790	C₂²⋊D₈₉	—	8	2	no	—
791	C₂²⋊D₈₉	—	8	2	no	—
792	C₂²⋊D₈₉	—	8	2	no	—
793	C₂²⋊D₈₉	—	8	2	no	—
794	C₂×Dic₈₉	—	2	1	no	—
795	C₂×Dic₈₉	—	2	1	no	—
796	C₂×Dic₈₉	—	2	1	no	—
797	C₂×Dic₈₉	—	2	1	no	—
798	C₂×Dic₈₉	—	2	1	no	—
799	C₂×Dic₈₉	—	2	1	no	—
800	C₂×Dic₈₉	—	2	1	no	—
801	C₂×Dic₈₉	—	2	1	no	—
802	C₂×Dic₈₉	—	2	1	no	—
803	C₂×Dic₈₉	—	2	1	no	—
804	C₂×Dic₈₉	—	2	1	no	—
805	C₂×Dic₈₉	—	2	1	no	—
806	C₂×Dic₈₉	—	2	1	no	—
807	C₂×Dic₈₉	—	2	1	no	—
808	C₂×Dic₈₉	—	2	1	no	—
809	C₂×Dic₈₉	—	2	1	no	—
810	C₂×Dic₈₉	—	2	1	no	—
811	C₂×Dic₈₉	—	2	1	no	—
812	C₂×Dic₈₉	—	2	1	no	—
813	C₂×Dic₈₉	—	2	1	no	—
814	C₂×Dic₈₉	—	2	1	no	—
815	C₂×Dic₈₉	—	2	1	no	—
816	C₂×Dic₈₉	—	2	1	no	—
817	C₂×Dic₈₉	—	2	1	no	—
818	C₂×Dic₈₉	—	2	1	no	—
819	C₂×Dic₈₉	—	2	1	no	—
820	C₂×Dic₈₉	—	2	1	no	—
821	C₂×Dic₈₉	—	2	1	no	—
822	C₂×Dic₈₉	—	2	1	no	—
823	C₂×Dic₈₉	—	2	1	no	—
824	C₂×Dic₈₉	—	8	2	no	—
825	C₂×Dic₈₉	—	8	2	no	—
826	D₃₅₆	—	8	2	no	—
827	D₃₅₆	—	8	2	no	—
828	D₃₅₆	—	8	2	no	—
829	D₃₅₆	—	8	2	no	—
830	D₃₅₆	—	8	2	no	—
831	D₃₅₆	—	8	2	no	—
832	D₃₅₆	—	8	2	no	—
833	D₃₅₆	—	8	2	no	—
834	D₃₅₆	—	8	2	no	—
835	C₄×D₈₉	—	8	2	no	—
836	C₄×D₈₉	—	8	2	no	—
837	Dic₁₇₈	—	8	2	no	—
838	C₂²×C₈₉	—	2	2	no	—
839	C₂²×C₈₉	—	2	2	no	—
840	C₂²×C₈₉	—	2	2	no	—
841	C₂²×C₈₉	—	2	2	no	—
842	C₂²×C₈₉	—	2	2	no	—
843	C₂²×C₈₉	—	2	2	no	—
844	C₂²×C₈₉	—	2	2	no	—
845	C₂²×C₈₉	—	2	2	no	—
846	C₂²×C₈₉	—	2	2	no	—
847	C₂²×C₈₉	—	2	2	no	—
848	C₂²×C₈₉	—	2	2	no	—
849	C₂²×C₈₉	—	2	2	no	—
850	C₂²×C₈₉	—	4	16	no	—
851	C₂²×C₈₉	—	4	1	no	—
852	C₂²×C₈₉	—	4	1	no	—
853	C₂²×C₈₉	—	4	1	no	—
854	C₂²×C₈₉	—	4	1	no	—
855	C₂²×C₈₉	—	4	1	no	—
856	C₂²×C₈₉	—	4	1	no	—
857	C₂²×C₈₉	—	4	1	no	—
858	C₂²×C₈₉	—	4	1	no	—
859	C₂²×C₈₉	#538	1	4	yes	—
860	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
861	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
862	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
863	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
864	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
865	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
866	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
867	C₂×D₈₉	—	2	2	no	—
868	C₂×D₈₉	—	2	2	no	—
869	C₂×D₈₉	—	2	2	no	—
870	C₂×D₈₉	—	2	2	no	—
871	C₂×D₈₉	—	2	2	no	—
872	C₂×D₈₉	—	2	2	no	—
873	C₂×D₈₉	—	2	2	no	—
874	C₂×D₈₉	—	2	2	no	—
875	C₂×D₈₉	—	2	2	no	—
876	C₂×D₈₉	—	2	2	no	—
877	C₂×D₈₉	—	2	2	no	—
878	C₂×D₈₉	—	2	2	no	—
879	C₂×D₈₉	—	4	16	no	—
880	C₂×D₈₉	—	4	16	no	—
881	C₂×D₈₉	—	4	16	no	—
882	C₂×D₈₉	—	4	16	no	—
883	C₂×D₈₉	—	4	16	no	—
884	C₂×D₈₉	—	4	16	no	—
885	C₂×D₈₉	—	4	1	no	—
886	C₂×D₈₉	—	4	1	no	—
887	C₂×D₈₉	—	4	1	no	—
888	C₂×D₈₉	—	4	1	no	—
889	C₂×D₈₉	—	4	1	no	—
890	C₂×D₈₉	—	4	1	no	—
891	C₂×D₈₉	—	4	1	no	—
892	C₂×D₈₉	—	4	1	no	—
893	C₂×D₈₉	—	4	1	no	—
894	C₂×D₈₉	—	4	1	no	—
895	C₂×D₈₉	—	4	1	no	—
896	C₂×D₈₉	—	4	1	no	—
897	C₂×D₈₉	—	4	1	no	—
898	C₂×D₈₉	—	4	1	no	—
899	C₂×D₈₉	—	4	1	no	—
900	C₂×D₈₉	—	4	1	no	—
901	C₂×D₈₉	—	4	1	no	—
902	C₂×D₈₉	—	4	1	no	—
903	C₂×D₈₉	—	4	1	no	—
904	C₂×D₈₉	—	4	1	no	—
905	C₂×D₈₉	—	4	1	no	—
906	C₂×D₈₉	—	4	1	no	—
907	C₂×D₈₉	—	4	1	no	—
908	C₂×D₈₉	—	4	1	no	—
909	C₂×D₈₉	—	4	1	no	—
910	C₂×D₈₉	—	4	1	no	—
911	C₂×D₈₉	—	4	1	no	—
912	C₂×D₈₉	—	4	1	no	—
913	C₂×D₈₉	—	4	1	no	—
914	C₂×D₈₉	—	4	1	no	—
915	C₄×C₈₉	—	4	1	no	—
916	C₄×C₈₉	—	4	1	no	—
917	C₄×C₈₉	—	4	1	no	—
918	C₄×C₈₉	—	4	1	no	—
919	C₄×C₈₉	—	4	1	no	—
920	C₄×C₈₉	—	4	1	no	—
921	C₄×C₈₉	—	4	1	no	—
922	C₄×C₈₉	—	4	1	no	—
923	C₄×C₈₉	—	4	1	no	—
924	C₄×C₈₉	—	4	1	no	—
925	C₄×C₈₉	—	4	1	no	—
926	C₄×C₈₉	—	4	1	no	—
927	Dic₈₉	—	4	1	no	—
928	Dic₈₉	—	4	1	no	—
929	Dic₈₉	—	4	1	no	—
930	Dic₈₉	—	4	1	no	—
931	Dic₈₉	—	4	1	no	—
932	Dic₈₉	—	4	1	no	—
933	Dic₈₉	—	4	1	no	—
934	Dic₈₉	—	4	1	no	—
935	Dic₈₉	—	4	1	no	—
936	Dic₈₉	—	4	1	no	—
937	#36725	—	89	1	no	maximal, Sylow
938	C₂×C₈₉	—	2	4	no	—
939	C₂×C₈₉	—	4	2	no	—
940	C₂×C₈₉	—	4	2	no	—
941	C₂×C₈₉	C₂×#538	1	1	yes	characteristic
942	C₂×C₈₉	#3490	1	1	yes	characteristic
943	C₂×C₈₉	#3490	1	1	yes	characteristic
944	C₂×C₈₉	#3532	1	1	yes	characteristic
945	C₂×C₈₉	#3532	1	1	yes	characteristic
946	C₂×C₈₉	#3532	1	1	yes	characteristic
947	C₂×C₈₉	#3532	1	1	yes	characteristic
948	D₈₉	—	4	2	no	—
949	D₈₉	—	4	2	no	—
950	D₈₉	—	4	2	no	—
951	D₈₉	—	4	2	no	—
952	D₈₉	—	8	1	no	—
953	D₈₉	—	8	1	no	—
954	#2846	—	89	1	no	—
955	#2846	—	89	1	no	—
956	#2736	—	89	1	no	—
957	#2735	—	89	1	no	—
958	#2735	—	89	1	no	—
959	#2735	—	89	1	no	—
960	#2697	—	89	1	no	—
961	#2697	—	89	1	no	—
962	#2685	—	89	1	no	—
963	#2685	—	89	1	no	—
964	#2685	—	89	1	no	—
965	#2685	—	89	1	no	—
966	#2684	—	89	1	no	—
967	#2684	—	89	1	no	—
968	#2678	—	89	1	no	—
969	#2678	—	89	1	no	—
970	#2670	—	89	1	no	—
971	#2668	—	89	1	no	—
972	#2626	—	89	1	no	—
973	#2617	—	89	1	no	—
974	#2480	—	89	1	no	—
975	#2480	D₈₉	1	1	yes	characteristic, complemented
976	#2472	—	89	1	no	—
977	#2472	—	89	1	no	—
978	#2424	—	89	1	no	—
979	#2424	—	89	1	no	—
980	#2418	—	89	1	no	—
981	#2418	—	89	1	no	—
982	#2321	—	89	1	no	—
983	#2321	—	89	1	no	—
984	C₂×#379	—	89	1	no	—
985	C₈₉	#36725	1	1	yes	characteristic, complemented, Sylow
986	C₂⁶	—	89	1	no	—
987	C₂×#126	—	89	1	no	—
988	C₂×#126	C₂×D₈₉	1	1	yes	characteristic, complemented
989	C₂×#124	—	89	1	no	—
990	C₂×#124	—	89	1	no	—
991	C₂×#123	—	89	1	no	—
992	C₂×#123	—	89	1	no	—
993	C₂×C₂²⋊Q₈	—	89	1	no	—
994	C₂×#121	—	89	1	no	—
995	C₂×#121	—	89	1	no	—
996	C₂×#121	—	89	1	no	—
997	C₂×#120	—	89	1	no	—
998	C₂×#120	—	89	1	no	—
999	C₂×#120	—	89	1	no	—
1000	C₂×#120	—	89	1	no	—
1001	C₂×#120	—	89	1	no	—
1002	C₂×#120	—	89	1	no	—
1003	C₂×#120	—	89	1	no	—
1004	C₂×#120	—	89	1	no	—
1005	C₂×#120	—	89	1	no	—
1006	C₂×#120	—	89	1	no	—
1007	C₂×#120	—	89	1	no	—
1008	C₂×#120	—	89	1	no	—
1009	C₂×#120	—	89	1	no	—
1010	C₂×#120	—	89	1	no	—
1011	C₂×C₄×D₄	—	89	1	no	—
1012	C₂×C₄×D₄	—	89	1	no	—
1013	C₂²×C₂²⋊C₄	—	89	1	no	—
1014	C₂²×C₂²⋊C₄	—	89	1	no	—
1015	C₂²×C₂²⋊C₄	—	89	1	no	—
1016	C₂²×C₂²⋊C₄	—	89	1	no	—
1017	C₂²×C₂²⋊C₄	—	89	1	no	—
1018	C₂²×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
1019	#399	—	89	1	no	—
1020	#399	—	89	1	no	—
1021	#399	—	89	1	no	—
1022	#399	—	89	1	no	—
1023	#397	—	89	1	no	—
1024	#397	—	89	1	no	—
1025	#397	—	89	1	no	—
1026	#397	—	89	1	no	—
1027	#397	—	89	1	no	—
1028	#397	—	89	1	no	—
1029	#397	—	89	1	no	—
1030	#397	—	89	1	no	—
1031	#397	—	89	1	no	—
1032	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
1033	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
1034	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
1035	#396	—	89	1	no	—
1036	#396	—	89	1	no	—
1037	#396	—	89	1	no	—
1038	#396	—	89	1	no	—
1039	#396	—	89	1	no	—
1040	#396	—	89	1	no	—
1041	#396	—	89	1	no	—
1042	#396	C₂×D₈₉	1	1	yes	characteristic, complemented
1043	#394	—	89	1	no	—
1044	#394	—	89	1	no	—
1045	#394	—	89	1	no	—
1046	#394	—	89	1	no	—
1047	#394	—	89	1	no	—
1048	#394	—	89	1	no	—
1049	#394	—	89	1	no	—
1050	#394	—	89	1	no	—
1051	#394	—	89	1	no	—
1052	#394	—	89	1	no	—
1053	#394	—	89	1	no	—
1054	#394	—	89	1	no	—
1055	#394	—	89	1	no	—
1056	#394	—	89	1	no	—
1057	#394	—	89	1	no	—
1058	#394	—	89	1	no	—
1059	#393	—	89	1	no	—
1060	#393	—	89	1	no	—
1061	#393	—	89	1	no	—
1062	#393	—	89	1	no	—
1063	#392	—	89	1	no	—
1064	#392	—	89	1	no	—
1065	#392	—	89	1	no	—
1066	#392	—	89	1	no	—
1067	#390	—	89	1	no	—
1068	#390	—	89	1	no	—
1069	#390	—	89	1	no	—
1070	#390	—	89	1	no	—
1071	#390	—	89	1	no	—
1072	#390	—	89	1	no	—
1073	#390	—	89	1	no	—
1074	#390	—	89	1	no	—
1075	#388	—	89	1	no	—
1076	#388	—	89	1	no	—
1077	#388	—	89	1	no	—
1078	#388	—	89	1	no	—
1079	#388	—	89	1	no	—
1080	#388	—	89	1	no	—
1081	#388	—	89	1	no	—
1082	#388	—	89	1	no	—
1083	#388	—	89	1	no	—
1084	#388	—	89	1	no	—
1085	#388	—	89	1	no	—
1086	#388	—	89	1	no	—
1087	#388	—	89	1	no	—
1088	#388	—	89	1	no	—
1089	#388	—	89	1	no	—
1090	#388	—	89	1	no	—
1091	#388	—	89	1	no	—
1092	#388	—	89	1	no	—
1093	#388	—	89	1	no	—
1094	#388	—	89	1	no	—
1095	#388	—	89	1	no	—
1096	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
1097	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
1098	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
1099	#386	—	89	1	no	—
1100	#386	—	89	1	no	—
1101	#386	—	89	1	no	—
1102	#386	—	89	1	no	—
1103	#386	—	89	1	no	—
1104	#386	—	89	1	no	—
1105	#386	—	89	1	no	—
1106	#386	—	89	1	no	—
1107	#386	—	89	1	no	—
1108	#386	—	89	1	no	—
1109	#386	—	89	1	no	—
1110	#386	—	89	1	no	—
1111	#385	—	89	1	no	—
1112	#385	—	89	1	no	—
1113	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
1114	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
1115	#380	—	89	1	no	—
1116	#380	C₂×D₈₉	1	1	yes	characteristic, complemented
1117	#379	—	89	1	no	—
1118	#379	—	89	1	no	—
1119	#379	—	89	1	no	—
1120	#379	—	89	1	no	—
1121	#379	—	89	1	no	—
1122	#379	—	89	1	no	—
1123	#379	—	89	1	no	—
1124	#379	—	89	1	no	—
1125	#379	—	89	1	no	—
1126	#379	—	89	1	no	—
1127	#379	—	89	1	no	—
1128	#379	—	89	1	no	—
1129	#379	—	89	1	no	—
1130	#379	—	89	1	no	—
1131	#379	—	89	1	no	—
1132	#379	—	89	1	no	—
1133	#379	—	89	1	no	—
1134	#379	—	89	1	no	—
1135	#379	—	89	1	no	—
1136	#379	—	89	1	no	—
1137	#379	C₂×D₈₉	1	1	yes	characteristic
1138	#379	C₂×D₈₉	1	1	yes	characteristic
1139	C₄×C₂²⋊C₄	—	89	1	no	—
1140	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
1141	C₂⁵	—	89	1	no	—
1142	C₂⁵	—	89	1	no	—
1143	C₂⁵	—	89	1	no	—
1144	C₂⁵	—	89	1	no	—
1145	C₂⁵	—	89	1	no	—
1146	C₂⁵	—	89	1	no	—
1147	C₂⁵	—	356	2	no	—
1148	C₂⁵	—	356	2	no	—
1149	C₂⁵	—	356	2	no	—
1150	C₂⁵	—	356	2	no	—
1151	C₂⁵	—	356	2	no	—
1152	C₂⁵	—	356	2	no	—
1153	C₂⁵	—	178	4	no	—
1154	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
1155	C₂²×Q₈	—	89	1	no	—
1156	C₂²×D₄	—	89	1	no	—
1157	C₂²×D₄	—	89	1	no	—
1158	C₂²×D₄	—	89	1	no	—
1159	C₂²×D₄	—	89	1	no	—
1160	C₂²×D₄	—	89	1	no	—
1161	C₂²×D₄	—	89	1	no	—
1162	C₂²×D₄	—	89	1	no	—
1163	C₂²×D₄	—	89	1	no	—
1164	C₂²×D₄	—	89	1	no	—
1165	C₂²×D₄	—	89	1	no	—
1166	C₂²×D₄	—	89	1	no	—
1167	C₂²×D₄	—	89	1	no	—
1168	C₂²×D₄	—	89	1	no	—
1169	C₂²×D₄	—	89	1	no	—
1170	C₂²×D₄	—	89	1	no	—
1171	C₂³×C₄	—	89	1	no	—
1172	C₂³×C₄	—	89	1	no	—
1173	C₂³×C₄	—	89	1	no	—
1174	C₂³×C₄	—	89	1	no	—
1175	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1176	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1177	#126	—	4	2	no	—
1178	#126	—	356	2	no	—
1179	#124	—	356	2	no	—
1180	#124	—	356	2	no	—
1181	#123	—	356	2	no	—
1182	#123	—	356	2	no	—
1183	C₂²⋊Q₈	—	356	2	no	—
1184	#121	—	356	2	no	—
1185	#121	—	356	2	no	—
1186	#121	—	356	2	no	—
1187	#120	—	356	2	no	—
1188	#120	—	356	2	no	—
1189	#120	—	356	2	no	—
1190	#120	—	356	2	no	—
1191	#120	—	356	2	no	—
1192	#120	—	356	2	no	—
1193	#120	—	356	2	no	—
1194	#120	—	356	2	no	—
1195	#120	—	356	2	no	—
1196	#120	—	356	2	no	—
1197	#120	—	356	2	no	—
1198	#120	—	356	2	no	—
1199	#120	—	178	4	no	—
1200	#120	—	178	4	no	—
1201	C₄×D₄	—	356	2	no	—
1202	C₄×D₄	—	356	2	no	—
1203	C₂×C₄⋊C₄	—	89	1	no	—
1204	C₂×C₄⋊C₄	—	89	1	no	—
1205	C₂×C₄⋊C₄	—	89	1	no	—
1206	C₂×C₄⋊C₄	—	89	1	no	—
1207	C₂×C₄⋊C₄	—	89	1	no	—
1208	C₂×C₄⋊C₄	—	89	1	no	—
1209	C₂×C₄⋊C₄	—	89	1	no	—
1210	C₂×C₄⋊C₄	—	89	1	no	—
1211	C₂×C₄⋊C₄	—	89	1	no	—
1212	C₂×C₄⋊C₄	—	89	1	no	—
1213	C₂×C₄⋊C₄	—	89	1	no	—
1214	C₂×C₄⋊C₄	—	89	1	no	—
1215	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1216	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1217	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1218	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1219	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1220	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic, complemented
1221	C₂×C₂²⋊C₄	—	4	2	no	—
1222	C₂×C₂²⋊C₄	—	89	1	no	—
1223	C₂×C₂²⋊C₄	—	89	1	no	—
1224	C₂×C₂²⋊C₄	—	89	1	no	—
1225	C₂×C₂²⋊C₄	—	89	1	no	—
1226	C₂×C₂²⋊C₄	—	89	1	no	—
1227	C₂×C₂²⋊C₄	—	89	1	no	—
1228	C₂×C₂²⋊C₄	—	89	1	no	—
1229	C₂×C₂²⋊C₄	—	89	1	no	—
1230	C₂×C₂²⋊C₄	—	89	1	no	—
1231	C₂×C₂²⋊C₄	—	89	1	no	—
1232	C₂×C₂²⋊C₄	—	89	1	no	—
1233	C₂×C₂²⋊C₄	—	89	1	no	—
1234	C₂×C₂²⋊C₄	—	89	1	no	—
1235	C₂×C₂²⋊C₄	—	89	1	no	—
1236	C₂×C₂²⋊C₄	—	89	1	no	—
1237	C₂×C₂²⋊C₄	—	89	1	no	—
1238	C₂×C₂²⋊C₄	—	89	1	no	—
1239	C₂×C₂²⋊C₄	—	89	1	no	—
1240	C₂×C₂²⋊C₄	—	89	1	no	—
1241	C₂×C₂²⋊C₄	—	89	1	no	—
1242	C₂×C₂²⋊C₄	—	89	1	no	—
1243	C₂×C₂²⋊C₄	—	89	1	no	—
1244	C₂×C₂²⋊C₄	—	89	1	no	—
1245	C₂×C₂²⋊C₄	—	89	1	no	—
1246	C₂×C₂²⋊C₄	—	89	1	no	—
1247	C₂×C₂²⋊C₄	—	89	1	no	—
1248	C₂×C₂²⋊C₄	—	89	1	no	—
1249	C₂×C₂²⋊C₄	—	89	1	no	—
1250	C₂×C₂²⋊C₄	—	89	1	no	—
1251	C₂×C₂²⋊C₄	—	89	1	no	—
1252	C₂×C₂²⋊C₄	—	89	1	no	—
1253	C₂×C₂²⋊C₄	—	89	1	no	—
1254	C₂×C₂²⋊C₄	—	89	1	no	—
1255	C₂×C₂²⋊C₄	—	89	1	no	—
1256	C₂×C₂²⋊C₄	—	89	1	no	—
1257	C₂×C₂²⋊C₄	—	89	1	no	—
1258	C₂×C₂²⋊C₄	—	89	1	no	—
1259	C₂×C₂²⋊C₄	—	89	1	no	—
1260	C₂×C₂²⋊C₄	—	89	1	no	—
1261	C₂×C₂²⋊C₄	—	89	1	no	—
1262	C₂×C₂²⋊C₄	—	89	1	no	—
1263	C₂×C₂²⋊C₄	—	89	1	no	—
1264	C₂×C₂²⋊C₄	—	89	1	no	—
1265	C₂×C₂²⋊C₄	—	89	1	no	—
1266	C₂×C₂²⋊C₄	—	89	1	no	—
1267	C₂×C₂²⋊C₄	—	89	1	no	—
1268	C₂×C₂²⋊C₄	—	89	1	no	—
1269	C₂×C₂²⋊C₄	—	89	1	no	—
1270	C₂×C₂²⋊C₄	—	89	1	no	—
1271	C₂×C₂²⋊C₄	—	89	1	no	—
1272	C₂×C₂²⋊C₄	—	89	1	no	—
1273	C₂×C₂²⋊C₄	—	89	1	no	—
1274	C₂×C₂²⋊C₄	—	89	1	no	—
1275	C₂×C₂²⋊C₄	—	89	1	no	—
1276	C₂×C₂²⋊C₄	—	89	1	no	—
1277	C₂×C₂²⋊C₄	—	89	1	no	—
1278	C₂×C₂²⋊C₄	—	89	1	no	—
1279	C₂×C₂²⋊C₄	—	89	1	no	—
1280	C₂×C₂²⋊C₄	—	89	1	no	—
1281	C₂×C₂²⋊C₄	—	89	1	no	—
1282	C₂×C₂²⋊C₄	—	89	1	no	—
1283	C₂×C₂²⋊C₄	—	89	1	no	—
1284	C₂×C₂²⋊C₄	—	356	2	no	—
1285	C₂×C₂²⋊C₄	—	356	2	no	—
1286	C₂×C₂²⋊C₄	—	356	2	no	—
1287	C₂×C₂²⋊C₄	—	356	2	no	—
1288	C₂×C₂²⋊C₄	—	356	2	no	—
1289	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1290	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1292	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1293	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1294	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1295	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1296	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1297	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1298	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1299	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1300	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1301	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1302	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1303	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1304	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1305	C₂×C₄²	—	89	1	no	—
1306	C₂×C₄²	—	89	1	no	—
1307	C₂×C₄²	—	89	1	no	—
1308	C₂×C₄²	—	89	1	no	—
1309	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic, complemented
1310	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic, complemented
1311	#95	—	89	1	no	—
1312	#95	—	89	1	no	—
1313	#95	—	89	1	no	—
1314	#95	—	89	1	no	—
1315	#95	—	89	1	no	—
1316	#95	—	89	1	no	—
1317	#95	—	89	1	no	—
1318	#95	—	89	1	no	—
1319	#95	—	89	1	no	—
1320	#95	—	89	1	no	—
1321	#95	—	89	1	no	—
1322	#95	—	89	1	no	—
1323	#95	—	89	1	no	—
1324	#95	—	89	1	no	—
1325	#95	—	89	1	no	—
1326	#95	—	89	1	no	—
1327	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1328	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1329	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1330	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1331	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1332	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1333	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1334	#95	C₂²×D₈₉	1	1	yes	characteristic, complemented
1335	C₂⁴	—	2	2	no	—
1336	C₂⁴	—	2	2	no	—
1337	C₂⁴	—	2	2	no	—
1338	C₂⁴	—	2	2	no	—
1339	C₂⁴	—	2	2	no	—
1340	C₂⁴	—	4	1	no	—
1341	C₂⁴	—	4	1	no	—
1342	C₂⁴	—	89	4	no	—
1343	C₂⁴	—	89	1	no	—
1344	C₂⁴	—	89	1	no	—
1345	C₂⁴	—	89	1	no	—
1346	C₂⁴	—	89	1	no	—
1347	C₂⁴	—	89	1	no	—
1348	C₂⁴	—	89	1	no	—
1349	C₂⁴	—	356	16	no	—
1350	C₂⁴	—	356	1	no	—
1351	C₂⁴	—	356	1	no	—
1352	C₂⁴	—	356	1	no	—
1353	C₂⁴	—	356	1	no	—
1354	C₂⁴	—	356	1	no	—
1355	C₂⁴	—	356	1	no	—
1356	C₂⁴	—	356	1	no	—
1357	C₂⁴	—	356	1	no	—
1358	C₂⁴	—	356	1	no	—
1359	C₂⁴	—	356	1	no	—
1360	C₂⁴	—	356	1	no	—
1361	C₂⁴	—	356	1	no	—
1362	C₂⁴	—	356	1	no	—
1363	C₂⁴	—	356	1	no	—
1364	C₂⁴	—	356	1	no	—
1365	C₂⁴	—	356	1	no	—
1366	C₂⁴	—	356	1	no	—
1367	C₂⁴	—	356	1	no	—
1368	C₂⁴	—	356	1	no	—
1369	C₂⁴	—	356	1	no	—
1370	C₂⁴	—	356	1	no	—
1371	C₂⁴	—	356	1	no	—
1372	C₂⁴	—	356	16	no	—
1373	C₂⁴	—	356	16	no	—
1374	C₂⁴	—	356	16	no	—
1375	C₂⁴	—	356	16	no	—
1376	C₂⁴	—	356	16	no	—
1377	C₂⁴	—	356	16	no	—
1378	C₂⁴	—	178	2	no	—
1379	C₂⁴	—	178	2	no	—
1380	C₂⁴	—	178	2	no	—
1381	C₂⁴	—	178	2	no	—
1382	C₂⁴	—	178	2	no	—
1383	C₂⁴	—	178	2	no	—
1384	C₂⁴	—	178	2	no	—
1385	C₂⁴	—	178	2	no	—
1386	C₂⁴	—	178	2	no	—
1387	C₂⁴	—	178	2	no	—
1388	C₂⁴	—	178	2	no	—
1389	C₂⁴	—	178	2	no	—
1390	C₂⁴	—	178	2	no	—
1391	C₂⁴	—	178	2	no	—
1392	C₂⁴	—	178	2	no	—
1393	C₂⁴	—	178	2	no	—
1394	C₂⁴	—	178	2	no	—
1395	C₂⁴	—	178	2	no	—
1396	C₂⁴	—	178	2	no	—
1397	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1398	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1399	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1400	C₂×Q₈	—	356	1	no	—
1401	C₂×Q₈	—	356	1	no	—
1402	C₂×Q₈	—	356	1	no	—
1403	C₂×D₄	—	356	1	no	—
1404	C₂×D₄	—	356	1	no	—
1405	C₂×D₄	—	356	1	no	—
1406	C₂×D₄	—	356	1	no	—
1407	C₂×D₄	—	356	1	no	—
1408	C₂×D₄	—	356	1	no	—
1409	C₂×D₄	—	356	1	no	—
1410	C₂×D₄	—	356	1	no	—
1411	C₂×D₄	—	356	1	no	—
1412	C₂×D₄	—	356	1	no	—
1413	C₂×D₄	—	356	1	no	—
1414	C₂×D₄	—	356	1	no	—
1415	C₂×D₄	—	356	1	no	—
1416	C₂×D₄	—	356	1	no	—
1417	C₂×D₄	—	356	1	no	—
1418	C₂×D₄	—	356	1	no	—
1419	C₂×D₄	—	356	1	no	—
1420	C₂×D₄	—	356	1	no	—
1421	C₂×D₄	—	356	1	no	—
1422	C₂×D₄	—	356	1	no	—
1423	C₂×D₄	—	356	1	no	—
1424	C₂×D₄	—	356	1	no	—
1425	C₂×D₄	—	356	1	no	—
1426	C₂×D₄	—	356	1	no	—
1427	C₂×D₄	—	356	1	no	—
1428	C₂×D₄	—	356	1	no	—
1429	C₂×D₄	—	356	1	no	—
1430	C₂×D₄	—	178	2	no	—
1431	C₂×D₄	—	178	2	no	—
1432	C₂×D₄	—	178	2	no	—
1433	C₂×D₄	—	178	2	no	—
1434	C₂×D₄	—	178	2	no	—
1435	C₂×D₄	—	178	2	no	—
1436	C₂×D₄	—	178	2	no	—
1437	C₂×D₄	—	178	2	no	—
1438	C₂×D₄	—	178	2	no	—
1439	C₂×D₄	—	178	2	no	—
1440	C₂×D₄	—	178	2	no	—
1441	C₂×D₄	—	178	2	no	—
1442	C₂×D₄	—	178	2	no	—
1443	C₂×D₄	—	178	2	no	—
1444	C₂×D₄	—	178	2	no	—
1445	C₂×D₄	—	178	2	no	—
1446	C₂×D₄	—	178	2	no	—
1447	C₂×D₄	—	178	2	no	—
1448	C₂²×C₄	—	2	2	no	—
1449	C₂²×C₄	—	2	2	no	—
1450	C₂²×C₄	—	4	1	no	—
1451	C₂²×C₄	—	4	1	no	—
1452	C₂²×C₄	—	4	1	no	—
1453	C₂²×C₄	—	4	1	no	—
1454	C₂²×C₄	—	89	1	no	—
1455	C₂²×C₄	—	89	1	no	—
1456	C₂²×C₄	—	89	1	no	—
1457	C₂²×C₄	—	89	1	no	—
1458	C₂²×C₄	—	89	1	no	—
1459	C₂²×C₄	—	89	1	no	—
1460	C₂²×C₄	—	89	1	no	—
1461	C₂²×C₄	—	89	1	no	—
1462	C₂²×C₄	—	89	1	no	—
1463	C₂²×C₄	—	89	1	no	—
1464	C₂²×C₄	—	356	1	no	—
1465	C₂²×C₄	—	356	1	no	—
1466	C₂²×C₄	—	356	1	no	—
1467	C₂²×C₄	—	356	1	no	—
1468	C₂²×C₄	—	356	1	no	—
1469	C₂²×C₄	—	356	1	no	—
1470	C₂²×C₄	—	356	1	no	—
1471	C₂²×C₄	—	356	1	no	—
1472	C₂²×C₄	—	356	1	no	—
1473	C₂²×C₄	—	356	1	no	—
1474	C₂²×C₄	—	178	2	no	—
1475	C₂²×C₄	—	178	2	no	—
1476	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1477	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1478	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1479	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1480	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1481	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1482	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1483	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1484	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1485	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1486	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1487	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1488	C₄⋊C₄	—	4	1	no	—
1489	C₄⋊C₄	—	4	1	no	—
1490	C₄⋊C₄	—	4	1	no	—
1491	C₄⋊C₄	—	4	1	no	—
1492	C₄⋊C₄	—	4	1	no	—
1493	C₄⋊C₄	—	4	1	no	—
1494	C₄⋊C₄	—	356	1	no	—
1495	C₄⋊C₄	—	356	1	no	—
1496	C₄⋊C₄	—	356	1	no	—
1497	C₄⋊C₄	—	356	1	no	—
1498	C₄⋊C₄	—	356	1	no	—
1499	C₄⋊C₄	—	356	1	no	—
1500	C₄⋊C₄	—	356	1	no	—
1501	C₄⋊C₄	—	356	1	no	—
1502	C₄⋊C₄	—	356	1	no	—
1503	C₄⋊C₄	—	356	1	no	—
1504	C₄⋊C₄	—	356	1	no	—
1505	C₄⋊C₄	—	356	1	no	—
1506	C₂²⋊C₄	—	2	2	no	—
1507	C₂²⋊C₄	—	2	2	no	—
1508	C₂²⋊C₄	—	2	2	no	—
1509	C₂²⋊C₄	—	2	2	no	—
1510	C₂²⋊C₄	—	2	2	no	—
1511	C₂²⋊C₄	—	2	2	no	—
1512	C₂²⋊C₄	—	2	2	no	—
1513	C₂²⋊C₄	—	2	2	no	—
1514	C₂²⋊C₄	—	2	2	no	—
1515	C₂²⋊C₄	—	2	2	no	—
1516	C₂²⋊C₄	—	4	1	no	—
1517	C₂²⋊C₄	—	4	1	no	—
1518	C₂²⋊C₄	—	4	1	no	—
1519	C₂²⋊C₄	—	4	1	no	—
1520	C₂²⋊C₄	—	4	1	no	—
1521	C₂²⋊C₄	—	4	1	no	—
1522	C₂²⋊C₄	—	356	1	no	—
1523	C₂²⋊C₄	—	356	1	no	—
1524	C₂²⋊C₄	—	356	1	no	—
1525	C₂²⋊C₄	—	356	1	no	—
1526	C₂²⋊C₄	—	356	1	no	—
1527	C₂²⋊C₄	—	356	1	no	—
1528	C₂²⋊C₄	—	356	1	no	—
1529	C₂²⋊C₄	—	356	1	no	—
1530	C₂²⋊C₄	—	356	1	no	—
1531	C₂²⋊C₄	—	356	1	no	—
1532	C₂²⋊C₄	—	356	1	no	—
1533	C₂²⋊C₄	—	356	1	no	—
1534	C₂²⋊C₄	—	356	1	no	—
1535	C₂²⋊C₄	—	356	1	no	—
1536	C₂²⋊C₄	—	356	1	no	—
1537	C₂²⋊C₄	—	356	1	no	—
1538	C₂²⋊C₄	—	356	1	no	—
1539	C₂²⋊C₄	—	356	1	no	—
1540	C₂²⋊C₄	—	356	1	no	—
1541	C₂²⋊C₄	—	356	1	no	—
1542	C₂²⋊C₄	—	356	1	no	—
1543	C₂²⋊C₄	—	356	1	no	—
1544	C₂²⋊C₄	—	356	1	no	—
1545	C₂²⋊C₄	—	356	1	no	—
1546	C₂²⋊C₄	—	356	1	no	—
1547	C₂²⋊C₄	—	356	1	no	—
1548	C₂²⋊C₄	—	356	1	no	—
1549	C₂²⋊C₄	—	356	1	no	—
1550	C₂²⋊C₄	—	356	1	no	—
1551	C₂²⋊C₄	—	356	1	no	—
1552	C₂²⋊C₄	—	356	1	no	—
1553	C₂²⋊C₄	—	356	1	no	—
1554	C₂²⋊C₄	—	356	1	no	—
1555	C₂²⋊C₄	—	356	1	no	—
1556	C₂²⋊C₄	—	356	1	no	—
1557	C₂²⋊C₄	—	356	1	no	—
1558	C₂²⋊C₄	—	356	1	no	—
1559	C₂²⋊C₄	—	356	1	no	—
1560	C₂²⋊C₄	—	356	1	no	—
1561	C₂²⋊C₄	—	356	1	no	—
1562	C₂²⋊C₄	—	356	1	no	—
1563	C₂²⋊C₄	—	356	1	no	—
1564	C₂²⋊C₄	—	356	1	no	—
1565	C₂²⋊C₄	—	356	1	no	—
1566	C₂²⋊C₄	—	356	1	no	—
1567	C₂²⋊C₄	—	356	1	no	—
1568	C₂²⋊C₄	—	178	2	no	—
1569	C₂²⋊C₄	—	178	2	no	—
1570	C₂²⋊C₄	—	178	2	no	—
1571	C₂²⋊C₄	—	178	2	no	—
1572	C₂²⋊C₄	—	178	2	no	—
1573	C₂²⋊C₄	—	178	2	no	—
1574	C₂²⋊C₄	—	178	2	no	—
1575	C₂²⋊C₄	—	178	2	no	—
1576	C₂²⋊C₄	—	178	2	no	—
1577	C₂²⋊C₄	—	178	2	no	—
1578	C₂²⋊C₄	—	178	2	no	—
1579	C₂²⋊C₄	—	178	2	no	—
1580	C₂²⋊C₄	—	178	2	no	—
1581	C₂²⋊C₄	—	178	2	no	—
1582	C₂²⋊C₄	—	178	2	no	—
1583	C₂²⋊C₄	—	178	2	no	—
1584	C₄²	—	4	1	no	—
1585	C₄²	—	4	1	no	—
1586	C₄²	—	356	1	no	—
1587	C₄²	—	356	1	no	—
1588	C₄²	—	356	1	no	—
1589	C₄²	—	356	1	no	—
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	1	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	8	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	4	4	no	—
1608	C₂³	—	4	4	no	—
1609	C₂³	—	4	4	no	—
1610	C₂³	—	4	4	no	—
1611	C₂³	—	4	4	no	—
1612	C₂³	—	4	4	no	—
1613	C₂³	—	89	2	no	—
1614	C₂³	—	89	2	no	—
1615	C₂³	—	89	2	no	—
1616	C₂³	—	89	2	no	—
1617	C₂³	—	356	4	no	—
1618	C₂³	—	356	4	no	—
1619	C₂³	—	356	4	no	—
1620	C₂³	—	356	4	no	—
1621	C₂³	—	356	4	no	—
1622	C₂³	—	356	4	no	—
1623	C₂³	—	356	4	no	—
1624	C₂³	—	356	4	no	—
1625	C₂³	—	356	4	no	—
1626	C₂³	—	356	4	no	—
1627	C₂³	—	356	4	no	—
1628	C₂³	—	356	4	no	—
1629	C₂³	—	356	4	no	—
1630	C₂³	—	356	4	no	—
1631	C₂³	—	356	4	no	—
1632	C₂³	—	356	4	no	—
1633	C₂³	—	356	4	no	—
1634	C₂³	—	356	4	no	—
1635	C₂³	—	356	4	no	—
1636	C₂³	—	356	4	no	—
1637	C₂³	—	356	4	no	—
1638	C₂³	—	356	4	no	—
1639	C₂³	—	356	4	no	—
1640	C₂³	—	356	128	no	—
1641	C₂³	—	356	4	no	—
1642	C₂³	—	356	4	no	—
1643	C₂³	—	356	4	no	—
1644	C₂³	—	356	4	no	—
1645	C₂³	—	356	4	no	—
1646	C₂³	—	356	4	no	—
1647	C₂³	—	356	4	no	—
1648	C₂³	—	356	4	no	—
1649	C₂³	—	356	4	no	—
1650	C₂³	—	356	4	no	—
1651	C₂³	—	356	4	no	—
1652	C₂³	—	356	4	no	—
1653	C₂³	—	356	4	no	—
1654	C₂³	—	356	4	no	—
1655	C₂³	—	356	4	no	—
1656	C₂³	—	356	4	no	—
1657	C₂³	—	356	4	no	—
1658	C₂³	—	178	8	no	—
1659	C₂³	—	178	1	no	—
1660	C₂³	—	178	1	no	—
1661	C₂³	—	178	1	no	—
1662	C₂³	—	178	1	no	—
1663	C₂³	—	178	1	no	—
1664	C₂³	—	178	1	no	—
1665	C₂³	—	178	1	no	—
1666	C₂³	—	178	1	no	—
1667	C₂³	—	178	1	no	—
1668	C₂³	—	178	1	no	—
1669	C₂³	—	178	1	no	—
1670	C₂³	—	178	1	no	—
1671	C₂³	—	178	1	no	—
1672	C₂³	—	178	1	no	—
1673	C₂³	—	178	1	no	—
1674	C₂³	—	178	1	no	—
1675	C₂³	—	178	1	no	—
1676	C₂³	—	178	1	no	—
1677	C₂³	—	178	1	no	—
1678	C₂³	—	178	1	no	—
1679	C₂³	—	178	1	no	—
1680	C₂³	—	178	1	no	—
1681	C₂³	—	178	1	no	—
1682	C₂³	—	178	1	no	—
1683	C₂³	—	178	1	no	—
1684	C₂³	—	178	1	no	—
1685	C₂³	—	178	1	no	—
1686	C₂³	—	178	1	no	—
1687	C₂³	—	178	1	no	—
1688	C₂³	—	178	1	no	—
1689	C₂³	—	178	1	no	—
1690	C₂³	—	178	1	no	—
1691	C₂³	—	178	1	no	—
1692	C₂³	—	178	1	no	—
1693	C₂³	—	178	1	no	—
1694	C₂³	—	178	1	no	—
1695	C₂³	—	178	1	no	—
1696	C₂³	—	178	1	no	—
1697	C₂³	—	178	8	no	—
1698	C₂³	#41×D₈₉	1	2	yes	—
1699	C₂³	#15668057	1	2	yes	—
1700	C₂³	#15668058	1	2	yes	—
1701	C₂³	#15668058	1	2	yes	—
1702	C₂³	#15668058	1	2	yes	—
1703	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1704	Q₈	—	712	2	no	—
1705	D₄	—	356	4	no	—
1706	D₄	—	356	4	no	—
1707	D₄	—	712	2	no	—
1708	D₄	—	712	2	no	—
1709	D₄	—	712	2	no	—
1710	D₄	—	712	2	no	—
1711	D₄	—	712	2	no	—
1712	D₄	—	712	2	no	—
1713	D₄	—	712	2	no	—
1714	D₄	—	712	2	no	—
1715	D₄	—	712	2	no	—
1716	D₄	—	712	2	no	—
1717	D₄	—	712	2	no	—
1718	D₄	—	712	2	no	—
1719	D₄	—	712	2	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	8	2	no	—
1757	C₂×C₄	—	8	2	no	—
1758	C₂×C₄	—	178	1	no	—
1759	C₂×C₄	—	178	1	no	—
1760	C₂×C₄	—	178	1	no	—
1761	C₂×C₄	—	178	1	no	—
1762	C₂×C₄	—	178	1	no	—
1763	C₂×C₄	—	178	1	no	—
1764	C₂×C₄	—	178	1	no	—
1765	C₂×C₄	—	178	1	no	—
1766	C₂×C₄	—	178	1	no	—
1767	C₂×C₄	—	178	1	no	—
1768	C₂×C₄	—	178	1	no	—
1769	C₂×C₄	—	178	1	no	—
1770	C₂×C₄	—	178	1	no	—
1771	C₂×C₄	—	178	1	no	—
1772	C₂×C₄	—	178	1	no	—
1773	C₂×C₄	—	178	1	no	—
1774	C₂×C₄	—	178	1	no	—
1775	C₂×C₄	—	178	1	no	—
1776	C₂×C₄	—	178	1	no	—
1777	C₂×C₄	—	178	1	no	—
1778	C₂×C₄	—	178	1	no	—
1779	C₂×C₄	—	178	1	no	—
1780	C₂×C₄	—	178	1	no	—
1781	C₂×C₄	—	178	1	no	—
1782	C₂×C₄	—	178	1	no	—
1783	C₂×C₄	—	178	1	no	—
1784	C₂×C₄	—	178	1	no	—
1785	C₂×C₄	—	178	1	no	—
1786	C₂×C₄	—	178	1	no	—
1787	C₂×C₄	—	178	1	no	—
1788	C₂×C₄	—	712	2	no	—
1789	C₂×C₄	—	712	2	no	—
1790	C₂×C₄	—	712	2	no	—
1791	C₂×C₄	—	712	2	no	—
1792	C₂²	—	2	2	no	—
1793	C₂²	—	2	2	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	2	no	—
1796	C₂²	—	2	2	no	—
1797	C₂²	—	2	2	no	—
1798	C₂²	—	2	2	no	—
1799	C₂²	—	2	2	no	—
1800	C₂²	—	2	2	no	—
1801	C₂²	—	2	2	no	—
1802	C₂²	—	2	2	no	—
1803	C₂²	—	2	2	no	—
1804	C₂²	—	4	16	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	356	16	no	—
1814	C₂²	—	356	16	no	—
1815	C₂²	—	356	16	no	—
1816	C₂²	—	356	16	no	—
1817	C₂²	—	356	16	no	—
1818	C₂²	—	356	16	no	—
1819	C₂²	—	356	1	no	—
1820	C₂²	—	356	1	no	—
1821	C₂²	—	356	1	no	—
1822	C₂²	—	356	1	no	—
1823	C₂²	—	356	1	no	—
1824	C₂²	—	356	1	no	—
1825	C₂²	—	356	1	no	—
1826	C₂²	—	356	1	no	—
1827	C₂²	—	356	1	no	—
1828	C₂²	—	356	1	no	—
1829	C₂²	—	356	1	no	—
1830	C₂²	—	356	1	no	—
1831	C₂²	—	356	1	no	—
1832	C₂²	—	356	1	no	—
1833	C₂²	—	356	1	no	—
1834	C₂²	—	356	1	no	—
1835	C₂²	—	356	1	no	—
1836	C₂²	—	356	1	no	—
1837	C₂²	—	356	1	no	—
1838	C₂²	—	356	1	no	—
1839	C₂²	—	356	1	no	—
1840	C₂²	—	356	1	no	—
1841	C₂²	—	356	1	no	—
1842	C₂²	—	356	1	no	—
1843	C₂²	—	356	1	no	—
1844	C₂²	—	356	1	no	—
1845	C₂²	—	356	1	no	—
1846	C₂²	—	356	1	no	—
1847	C₂²	—	356	1	no	—
1848	C₂²	—	356	1	no	—
1849	C₂²	—	178	2	no	—
1850	C₂²	—	178	2	no	—
1851	C₂²	—	178	2	no	—
1852	C₂²	—	178	2	no	—
1853	C₂²	—	178	2	no	—
1854	C₂²	—	178	2	no	—
1855	C₂²	—	178	2	no	—
1856	C₂²	—	178	2	no	—
1857	C₂²	—	178	2	no	—
1858	C₂²	—	178	2	no	—
1859	C₂²	—	178	2	no	—
1860	C₂²	—	178	2	no	—
1861	C₂²	#19152187	1	4	yes	—
1862	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1863	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1864	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1865	C₂²	C₂×#15668057	1	1	yes	characteristic
1866	C₂²	C₂×#15668058	1	1	yes	characteristic
1867	C₂²	C₂×#15668058	1	1	yes	characteristic
1868	C₂²	C₂×#15668058	1	1	yes	characteristic
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	4	1	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	356	1	no	—
1882	C₄	—	356	1	no	—
1883	C₄	—	356	1	no	—
1884	C₄	—	356	1	no	—
1885	C₄	—	356	1	no	—
1886	C₄	—	356	1	no	—
1887	C₄	—	356	1	no	—
1888	C₄	—	356	1	no	—
1889	C₄	—	356	1	no	—
1890	C₄	—	356	1	no	—
1891	C₂	—	2	4	no	—
1892	C₂	—	4	2	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	356	2	no	—
1895	C₂	—	356	2	no	—
1896	C₂	—	356	2	no	—
1897	C₂	—	356	2	no	—
1898	C₂	—	712	1	no	—
1899	C₂	—	712	1	no	—
1900	C₂	C₂×#19152187	1	1	yes	characteristic
1901	C₂	#26033935	1	1	yes	characteristic
1902	C₂	#26033938	1	1	yes	characteristic
1903	C₂	#26034401	1	1	yes	characteristic
1904	C₂	#26034401	1	1	yes	characteristic
1905	C₂	#26034408	1	1	yes	characteristic
1906	C₂	#26034408	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2480	C₂
hypercenter	#2480	D₈₉
hypocenter	C₈₉	#36725
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2480

Complements

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

N	H ≅ G/N	type
1. #26028530	C₂	semidirect
2. #26028530	C₂	semidirect
3. #26027299	C₂	semidirect
4. #26027291	C₂	semidirect
5. #26027288	C₂	semidirect
6. #26027287	C₂	semidirect
7. #26026817	C₂	semidirect
8. #26026810	C₂	semidirect
9. #26026650	C₂	semidirect
10. #26026640	C₂	semidirect
11. #26026637	C₂	semidirect
12. #26026637	C₂	semidirect
13. #26026634	C₂	semidirect
14. #26026633	C₂	semidirect
15. #26026576	C₂	semidirect
16. #26026575	C₂	semidirect
17. #26026476	C₂	semidirect
18. #26026462	C₂	semidirect
19. #26026063	C₂	semidirect
20. #26025989	C₂	semidirect
21. #26024503	C₂	semidirect
22. #26024378	C₂	semidirect
23. #26024375	C₂	semidirect
24. #26023788	C₂	semidirect
25. #26023786	C₂	semidirect
26. #26023718	C₂	semidirect
27. #26023716	C₂	semidirect
28. #26022912	C₂	semidirect
29. #26022909	C₂	semidirect
30. C₂×#19151453	C₂	semidirect
31. C₈₉×#2480	C₂	semidirect
33. C₂×#15668007	C₂²	semidirect
34. C₂×#15668000	C₂²	semidirect
35. C₂×#15667998	C₂²	semidirect
36. C₂×#15667997	C₂²	semidirect
37. C₂×#15667994	C₂²	semidirect
38. C₂×#15667989	C₂²	semidirect
39. C₂×#15667987	C₂²	semidirect
40. C₂×#15667986	C₂²	semidirect
41. C₂×#15667985	C₂²	semidirect
56. C₂×C₄×C₂²⋊D₈₉	C₂²	semidirect
57. C₂×#15667972	C₂²	semidirect
63. #19151534	C₂²	semidirect
64. #19151533	C₂²	semidirect
65. #19151533	C₂²	semidirect
66. #19151533	C₂²	semidirect
67. #19151527	C₂²	semidirect
68. #19151527	C₂²	semidirect
69. #19151526	C₂²	semidirect
70. #19151526	C₂²	semidirect
71. #19151525	C₂²	semidirect
72. #19151525	C₂²	semidirect
73. #19151525	C₂²	semidirect
74. #19151525	C₂²	semidirect
75. #19151524	C₂²	semidirect
76. #19151522	C₂²	semidirect
77. #19151522	C₂²	semidirect
78. #19151521	C₂²	semidirect
79. #19151520	C₂²	semidirect
80. #19151520	C₂²	semidirect
81. #19151520	C₂²	semidirect
82. #19151520	C₂²	semidirect
83. #19151516	C₂²	semidirect
84. #19151516	C₂²	semidirect
85. #19151516	C₂²	semidirect
86. #19151516	C₂²	semidirect
87. #19151515	C₂²	semidirect
88. #19151515	C₂²	semidirect
89. #19151515	C₂²	semidirect
90. #19151515	C₂²	semidirect
91. #19151515	C₂²	semidirect
92. #19151515	C₂²	semidirect
93. #19151514	C₂²	semidirect
94. #19151514	C₂²	semidirect
95. #19151513	C₂²	semidirect
96. #19151513	C₂²	semidirect
97. #19151513	C₂²	semidirect
98. #19151513	C₂²	semidirect
99. #19151511	C₂²	semidirect
100. #19151511	C₂²	semidirect
101. #19151511	C₂²	semidirect
102. #19151510	C₂²	semidirect
103. #19151508	C₂²	semidirect
104. #19151508	C₂²	semidirect
105. #19151508	C₂²	semidirect
106. #19151507	C₂²	semidirect
107. #19151500	C₂²	semidirect
108. #19151500	C₂²	semidirect
109. #19151500	C₂²	semidirect
110. #19151499	C₂²	semidirect
111. #19151499	C₂²	semidirect
112. #19151499	C₂²	semidirect
113. #19151498	C₂²	semidirect
114. #19151498	C₂²	semidirect
115. #19151492	C₂²	semidirect
116. #19151491	C₂²	semidirect
117. #19151491	C₂²	semidirect
118. #19151491	C₂²	semidirect
119. #19151490	C₂²	semidirect
120. #19151490	C₂²	semidirect
121. #19151490	C₂²	semidirect
122. #19151490	C₂²	semidirect
123. #19151489	C₂²	semidirect
124. #19151489	C₂²	semidirect
125. #19151489	C₂²	semidirect
126. #19151489	C₂²	semidirect
127. #19151488	C₂²	semidirect
128. #19151488	C₂²	semidirect
129. #19151488	C₂²	semidirect
130. #19151488	C₂²	semidirect
131. #19151487	C₂²	semidirect
132. #19151487	C₂²	semidirect
133. #19151487	C₂²	semidirect
134. #19151487	C₂²	semidirect
135. #19151486	C₂²	semidirect
136. #19151477	C₂²	semidirect
137. #19151476	C₂²	semidirect
138. #19151476	C₂²	semidirect
139. #19151476	C₂²	semidirect
140. #19151476	C₂²	semidirect
141. #19151476	C₂²	semidirect
142. #19151476	C₂²	semidirect
143. #19151475	C₂²	semidirect
144. #19151475	C₂²	semidirect
145. #19151475	C₂²	semidirect
146. #19151474	C₂²	semidirect
147. #19151474	C₂²	semidirect
148. #19151473	C₂²	semidirect
149. #19151471	C₂²	semidirect
150. #19151456	C₂²	semidirect
171. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
172. C₂×#126×C₈₉	C₂²	semidirect
174. #397×C₈₉	C₂²	semidirect
175. #397×C₈₉	C₂²	semidirect
176. #397×C₈₉	C₂²	semidirect
177. #396×C₈₉	C₂²	semidirect
178. #388×C₈₉	C₂²	semidirect
179. #388×C₈₉	C₂²	semidirect
180. #388×C₈₉	C₂²	semidirect
181. #385×C₈₉	C₂²	semidirect
182. #385×C₈₉	C₂²	semidirect
183. #380×C₈₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
200. C₂²×Dic₁₇₈	C₂³	semidirect
209. C₂²×D₃₅₆	C₂³	semidirect
218. C₂²×C₄×D₈₉	C₂³	semidirect
219. C₂²×C₄×D₈₉	C₂³	semidirect
245. C₂×C₄⋊Dic₈₉	C₂³	semidirect
246. C₂×C₄⋊Dic₈₉	C₂³	semidirect
247. C₂×C₄⋊Dic₈₉	C₂³	semidirect
248. C₂×C₄⋊Dic₈₉	C₂³	semidirect
249. C₂×#13083553	C₂³	semidirect
250. C₂×#13083553	C₂³	semidirect
251. C₂×#13083553	C₂³	semidirect
252. C₂×#13083553	C₂³	semidirect
253. C₂×#13083553	C₂³	semidirect
254. C₂×#13083553	C₂³	semidirect
255. C₂×#13083553	C₂³	semidirect
256. C₂×#13083553	C₂³	semidirect
312. C₂×#13083551	C₂³	semidirect
313. C₂×#13083551	C₂³	semidirect
314. C₂×#13083551	C₂³	semidirect
315. C₂×#13083551	C₂³	semidirect
316. C₂×#13083551	C₂³	semidirect
317. C₂×#13083551	C₂³	semidirect
318. C₂×#13083551	C₂³	semidirect
319. C₂×#13083551	C₂³	semidirect
320. C₂×#13083551	C₂³	semidirect
321. C₂×#13083551	C₂³	semidirect
322. C₂×#13083551	C₂³	semidirect
323. C₂×#13083551	C₂³	semidirect
324. C₂×C₄×Dic₈₉	C₂³	semidirect
325. C₂×C₄×Dic₈₉	C₂³	semidirect
326. C₂×C₄×Dic₈₉	C₂³	semidirect
327. C₂×C₄×Dic₈₉	C₂³	semidirect
328. #15667919	C₂³	semidirect
329. #15667919	C₂³	semidirect
330. #15667919	C₂³	semidirect
331. #15667919	C₂³	semidirect
332. #15667919	C₂³	semidirect
333. #15667919	C₂³	semidirect
334. #15667919	C₂³	semidirect
335. #15667919	C₂³	semidirect
336. #15667919	C₂³	semidirect
337. #15667919	C₂³	semidirect
338. #15667919	C₂³	semidirect
339. #15667919	C₂³	semidirect
340. #15667919	C₂³	semidirect
341. #15667919	C₂³	semidirect
342. #15667919	C₂³	semidirect
343. #15667919	C₂³	semidirect
348. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
349. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
350. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
351. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
352. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
353. C₂×C₄⋊C₄×C₈₉	C₂³	semidirect
371. C₂×C₄²×C₈₉	C₂³	semidirect
372. C₂×C₄²×C₈₉	C₂³	semidirect
373. #95×C₈₉	C₂³	semidirect
374. #95×C₈₉	C₂³	semidirect
375. #95×C₈₉	C₂³	semidirect
376. #95×C₈₉	C₂³	semidirect
377. #95×C₈₉	C₂³	semidirect
378. #95×C₈₉	C₂³	semidirect
379. #95×C₈₉	C₂³	semidirect
380. #95×C₈₉	C₂³	semidirect
975. #2480	D₈₉	semidirect
985. C₈₉	#36725	semidirect
988. C₂×#126	C₂×D₈₉	semidirect
1032. #397	C₂×D₈₉	semidirect
1033. #397	C₂×D₈₉	semidirect
1034. #397	C₂×D₈₉	semidirect
1042. #396	C₂×D₈₉	semidirect
1096. #388	C₂×D₈₉	semidirect
1097. #388	C₂×D₈₉	semidirect
1098. #388	C₂×D₈₉	semidirect
1113. #385	C₂×D₈₉	semidirect
1114. #385	C₂×D₈₉	semidirect
1116. #380	C₂×D₈₉	semidirect
1140. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
1215. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1216. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1217. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1218. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1219. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1220. C₂×C₄⋊C₄	C₂²×D₈₉	semidirect
1309. C₂×C₄²	C₂²×D₈₉	semidirect
1310. C₂×C₄²	C₂²×D₈₉	semidirect
1327. #95	C₂²×D₈₉	semidirect
1328. #95	C₂²×D₈₉	semidirect
1329. #95	C₂²×D₈₉	semidirect
1330. #95	C₂²×D₈₉	semidirect
1331. #95	C₂²×D₈₉	semidirect
1332. #95	C₂²×D₈₉	semidirect
1333. #95	C₂²×D₈₉	semidirect
1334. #95	C₂²×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26028530	2
#26027299	2
#26027291	2
#26027288	2
#26027287	2
#26026817	2
#26026810	2
#26026650	2
#26026640	2
#26026637	2
#26026634	2
#26026633	2
#26026576	2
#26026575	2
#26026476	2
#26026462	2
#26026063	2
#26025989	2
#26024503	2
#26024378	2
#26024375	2
#26023788	2
#26023786	2
#26023718	2
#26023716	2
#26022912	2
#26022909	2
C₂×#19151453	2
C₈₉×#2480	2
#36725	89