Subgroups — #36718288

Order 22784.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152227	C₂	1	1	yes	maximal, characteristic
2	#26023436	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023436	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023431	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023430	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023355	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023354	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023332	C₂	1	1	yes	maximal, characteristic
9	#26023311	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023309	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023261	C₂	1	1	yes	maximal, characteristic
12	#26023255	C₂	1	1	yes	maximal, characteristic
13	#26023110	C₂	1	1	yes	maximal, characteristic
14	#26023110	C₂	1	1	yes	maximal, characteristic
15	#26023106	C₂	1	1	yes	maximal, characteristic
16	#26023106	C₂	1	1	yes	maximal, characteristic
17	#26023057	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023057	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023054	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023051	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022996	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022995	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022983	C₂	1	1	yes	maximal, characteristic
24	#26022980	C₂	1	1	yes	maximal, characteristic
25	#26022970	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022967	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022852	C₂	1	1	yes	maximal, characteristic
28	#26022784	C₂	1	1	yes	maximal, characteristic
29	C₄×#15667989	C₂	1	1	yes	maximal, characteristic
30	C₂×#19151485	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2368	C₂	1	1	yes	maximal, characteristic
32	#19152227	C₄	1	16	yes	complemented
33	C₂×#15668011	C₂²	1	1	yes	characteristic
34	C₂×#15668011	C₂²	1	1	yes	characteristic
35	C₂×#15668010	C₂²	1	1	yes	characteristic
36	C₂×#15668010	C₂²	1	1	yes	characteristic
37	C₂×#15668002	C₂²	1	1	yes	characteristic
38	C₂×#15668002	C₂²	1	1	yes	characteristic
39	C₂×#15668002	C₂²	1	1	yes	characteristic
40	C₂×#15668002	C₂²	1	1	yes	characteristic
41	C₂×#15667991	C₂²	1	1	yes	characteristic
42	C₂×#15667989	C₂²	1	1	yes	characteristic
43	C₂×#15667989	C₂²	1	1	yes	characteristic
44	C₂×Q₈×Dic₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic
47	C₂×#15667977	C₂²	1	1	yes	characteristic
48	C₂×#15667968	C₂²	1	1	yes	characteristic
49	C₂×#15667968	C₂²	1	1	yes	characteristic
50	C₂²×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
51	C₂²×#13083553	C₂²	1	1	yes	characteristic
52	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
53	#19151505	C₂²	1	1	yes	characteristic
54	#19151504	C₂²	1	1	yes	characteristic
55	#19151504	C₂²	1	1	yes	characteristic
56	#19151503	C₂²	1	1	yes	characteristic
57	#19151502	C₂²	1	1	yes	characteristic
58	#19151502	C₂²	1	1	yes	characteristic
59	#19151502	C₂²	1	1	yes	characteristic
60	#19151502	C₂²	1	1	yes	characteristic
61	#19151502	C₂²	1	1	yes	characteristic
62	#19151502	C₂²	1	1	yes	characteristic
63	#19151497	C₂²	1	1	yes	characteristic
64	#19151497	C₂²	1	1	yes	characteristic
65	#19151497	C₂²	1	1	yes	characteristic
66	#19151496	C₂²	1	1	yes	characteristic
67	#19151496	C₂²	1	1	yes	characteristic
68	#19151495	C₂²	1	1	yes	characteristic
69	#19151495	C₂²	1	1	yes	characteristic
70	#19151495	C₂²	1	1	yes	characteristic
71	#19151495	C₂²	1	1	yes	characteristic
72	#19151494	C₂²	1	1	yes	characteristic
73	#19151493	C₂²	1	1	yes	characteristic
74	#19151493	C₂²	1	1	yes	characteristic
75	#19151485	C₂²	1	1	yes	characteristic
76	#19151485	C₂²	1	1	yes	characteristic
77	#19151485	C₂²	1	1	yes	characteristic
78	#19151485	C₂²	1	1	yes	characteristic
79	#19151485	C₂²	1	1	yes	characteristic
80	#19151485	C₂²	1	1	yes	characteristic
81	#19151485	C₂²	1	1	yes	characteristic
82	#19151485	C₂²	1	1	yes	characteristic
83	#19151485	C₂²	1	1	yes	characteristic
84	#19151485	C₂²	1	1	yes	characteristic
85	#19151485	C₂²	1	1	yes	characteristic
86	#19151485	C₂²	1	1	yes	characteristic
87	#19151485	C₂²	1	1	yes	characteristic
88	#19151485	C₂²	1	1	yes	characteristic
89	#19151485	C₂²	1	1	yes	characteristic
90	#19151485	C₂²	1	1	yes	characteristic
91	#19151484	C₂²	1	1	yes	characteristic
92	#19151484	C₂²	1	1	yes	characteristic
93	#19151483	C₂²	1	1	yes	characteristic
94	#19151483	C₂²	1	1	yes	characteristic
95	#19151483	C₂²	1	1	yes	characteristic
96	#19151483	C₂²	1	1	yes	characteristic
97	#19151482	C₂²	1	1	yes	characteristic
98	#19151482	C₂²	1	1	yes	characteristic
99	#19151482	C₂²	1	1	yes	characteristic
100	#19151482	C₂²	1	1	yes	characteristic
101	#19151482	C₂²	1	1	yes	characteristic
102	#19151482	C₂²	1	1	yes	characteristic
103	#19151482	C₂²	1	1	yes	characteristic
104	#19151482	C₂²	1	1	yes	characteristic
105	#19151482	C₂²	1	1	yes	characteristic
106	#19151482	C₂²	1	1	yes	characteristic
107	#19151481	C₂²	1	1	yes	characteristic
108	#19151481	C₂²	1	1	yes	characteristic
109	#19151480	C₂²	1	1	yes	characteristic
110	#19151480	C₂²	1	1	yes	characteristic
111	#19151480	C₂²	1	1	yes	characteristic
112	#19151480	C₂²	1	1	yes	characteristic
113	#19151480	C₂²	1	1	yes	characteristic
114	#19151480	C₂²	1	1	yes	characteristic
115	#19151480	C₂²	1	1	yes	characteristic
116	#19151480	C₂²	1	1	yes	characteristic
117	#19151480	C₂²	1	1	yes	characteristic
118	#19151480	C₂²	1	1	yes	characteristic
119	#19151480	C₂²	1	1	yes	characteristic
120	#19151480	C₂²	1	1	yes	characteristic
121	#19151479	C₂²	1	1	yes	characteristic
122	#19151479	C₂²	1	1	yes	characteristic
123	#19151479	C₂²	1	1	yes	characteristic
124	#19151479	C₂²	1	1	yes	characteristic
125	#19151479	C₂²	1	1	yes	characteristic
126	#19151479	C₂²	1	1	yes	characteristic
127	#19151473	C₂²	1	1	yes	characteristic
128	#19151473	C₂²	1	1	yes	characteristic
129	#19151471	C₂²	1	1	yes	characteristic
130	#19151471	C₂²	1	1	yes	characteristic
131	#19151470	C₂²	1	1	yes	characteristic
132	#19151470	C₂²	1	1	yes	characteristic
133	#19151465	C₂²	1	1	yes	characteristic
134	#19151465	C₂²	1	1	yes	characteristic
135	#19151465	C₂²	1	1	yes	characteristic
136	#19151465	C₂²	1	1	yes	characteristic
137	#19151463	C₂²	1	1	yes	characteristic
138	#19151463	C₂²	1	1	yes	characteristic
139	#19151462	C₂²	1	1	yes	characteristic
140	#19151462	C₂²	1	1	yes	characteristic
141	#19151459	C₂²	1	1	yes	characteristic
142	#19151459	C₂²	1	1	yes	characteristic
143	#19151456	C₂²	1	1	yes	characteristic
144	#19151456	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
149	C₄×#13083553	C₂²	1	1	yes	characteristic
150	C₄×#13083553	C₂²	1	1	yes	characteristic
151	C₄×#13083553	C₂²	1	1	yes	characteristic
152	C₄×#13083553	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
154	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic
155	#19151449	C₂²	1	1	yes	characteristic
156	#19151449	C₂²	1	1	yes	characteristic
157	#19151449	C₂²	1	1	yes	characteristic
158	#19151449	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
166	#19151444	C₂²	1	1	yes	characteristic
167	#19151444	C₂²	1	1	yes	characteristic
168	#19151443	C₂²	1	1	yes	characteristic
169	#19151443	C₂²	1	1	yes	characteristic
170	C₂×#15667919	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic
172	C₂×#15667919	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
174	#391×C₈₉	C₂²	1	1	yes	characteristic
175	#391×C₈₉	C₂²	1	1	yes	characteristic
176	#387×C₈₉	C₂²	1	1	yes	characteristic
177	#387×C₈₉	C₂²	1	1	yes	characteristic
178	#387×C₈₉	C₂²	1	1	yes	characteristic
179	#387×C₈₉	C₂²	1	1	yes	characteristic
180	#385×C₈₉	C₂²	1	1	yes	characteristic
181	#385×C₈₉	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
195	#15668011	C₂×C₄	1	8	yes	complemented
196	#15668011	C₂×C₄	1	8	yes	complemented
197	#15668010	C₂×C₄	1	8	yes	complemented
198	#15668010	C₂×C₄	1	8	yes	complemented
199	#15668002	C₂×C₄	1	8	yes	complemented
200	#15668002	C₂×C₄	1	8	yes	complemented
201	#15668002	C₂×C₄	1	8	yes	complemented
202	#15668002	C₂×C₄	1	8	yes	complemented
203	#15667991	C₂×C₄	1	8	yes	—
204	#15667989	C₂×C₄	1	8	yes	—
205	#15667989	C₂×C₄	1	8	yes	—
206	Q₈×Dic₈₉	—	4	2	no	—
207	C₄×Dic₁₇₈	—	4	2	no	—
208	C₄×Dic₁₇₈	—	4	2	no	—
209	#15667977	—	4	2	no	—
210	#15667968	C₂×C₄	1	8	yes	—
211	#15667968	C₂×C₄	1	8	yes	—
212	C₂×C₄⋊Dic₈₉	—	4	2	no	—
213	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
224	C₂×#13083553	C₂×C₄	1	8	yes	—
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×#13083553	C₂³	1	1	yes	characteristic
234	C₂×#13083553	C₂³	1	1	yes	characteristic
235	C₂×#13083553	C₂³	1	1	yes	characteristic
236	C₂×#13083553	C₂³	1	1	yes	characteristic
237	C₂×#13083553	C₂³	1	1	yes	characteristic
238	C₂×#13083553	C₂³	1	1	yes	characteristic
239	C₂×#13083553	C₂³	1	1	yes	characteristic
240	C₂×#13083553	C₂³	1	1	yes	characteristic
241	C₂×#13083553	C₂³	1	1	yes	characteristic
242	C₂×#13083553	C₂³	1	1	yes	characteristic
243	C₂×#13083553	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×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×C₄×Dic₈₉	—	4	2	no	—
256	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	#15667919	C₂³	1	1	yes	characteristic
279	#15667919	C₂³	1	1	yes	characteristic
280	#15667919	C₂³	1	1	yes	characteristic
281	#15667919	C₂³	1	1	yes	characteristic
282	#15667919	C₂³	1	1	yes	characteristic
283	#15667919	C₂³	1	1	yes	characteristic
284	#15667919	C₂³	1	1	yes	characteristic
285	#15667919	C₂³	1	1	yes	characteristic
286	#15667919	C₂³	1	1	yes	characteristic
287	#15667919	C₂³	1	1	yes	characteristic
288	#15667919	C₂³	1	1	yes	characteristic
289	#15667919	C₂³	1	1	yes	characteristic
290	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#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	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	—
333	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	#95×C₈₉	C₂³	1	1	yes	characteristic
358	#95×C₈₉	C₂³	1	1	yes	characteristic
359	#95×C₈₉	C₂³	1	1	yes	characteristic
360	#95×C₈₉	C₂³	1	1	yes	characteristic
361	#95×C₈₉	C₂³	1	1	yes	characteristic
362	#95×C₈₉	C₂³	1	1	yes	characteristic
363	#95×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×Dic₁₇₈	—	4	1	no	—
365	C₂×Dic₁₇₈	—	4	1	no	—
366	C₂×Dic₁₇₈	—	4	1	no	—
367	C₂×Dic₁₇₈	—	4	1	no	—
368	C₂×Dic₁₇₈	—	4	1	no	—
369	C₂×Dic₁₇₈	—	4	1	no	—
370	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	—
371	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	—
372	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	—
373	C₂²×Dic₈₉	—	2	2	no	—
374	C₂²×Dic₈₉	—	2	2	no	—
375	C₂²×Dic₈₉	—	2	2	no	—
376	C₂²×Dic₈₉	—	2	2	no	—
377	C₂²×Dic₈₉	—	2	2	no	—
378	C₂²×Dic₈₉	—	4	1	no	—
379	C₂²×Dic₈₉	—	4	1	no	—
380	C₂²×Dic₈₉	—	4	1	no	—
381	C₂²×Dic₈₉	—	4	1	no	—
382	C₂²×Dic₈₉	—	4	1	no	—
383	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
384	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
385	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
401	C₄⋊Dic₈₉	—	2	2	no	—
402	C₄⋊Dic₈₉	—	2	2	no	—
403	C₄⋊Dic₈₉	—	2	2	no	—
404	C₄⋊Dic₈₉	—	4	1	no	—
405	C₄⋊Dic₈₉	—	4	1	no	—
406	C₄⋊Dic₈₉	—	4	1	no	—
407	C₄⋊Dic₈₉	—	4	1	no	—
408	C₄⋊Dic₈₉	—	4	1	no	—
409	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
410	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
411	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
412	#13083553	—	2	2	no	—
413	#13083553	—	2	2	no	—
414	#13083553	—	4	1	no	—
415	#13083553	—	4	1	no	—
416	#13083553	—	4	1	no	—
417	#13083553	—	4	1	no	—
418	#13083553	—	4	1	no	—
419	#13083553	—	4	1	no	—
420	#13083553	—	4	1	no	—
421	#13083553	—	4	1	no	—
422	#13083553	—	4	1	no	—
423	#13083553	—	4	1	no	—
424	#13083553	C₂²×C₄	1	4	yes	—
425	#13083553	C₂²×C₄	1	4	yes	—
426	#13083553	C₂²×C₄	1	4	yes	—
427	#13083553	C₂²×C₄	1	4	yes	—
428	#13083553	C₂²×C₄	1	4	yes	—
429	#13083553	C₂²×C₄	1	4	yes	—
430	#13083553	C₂²×C₄	1	4	yes	—
431	#13083553	C₂²×C₄	1	4	yes	—
432	#13083553	C₂²×C₄	1	4	yes	—
433	#13083553	C₂²×C₄	1	4	yes	—
434	#13083553	C₂²×C₄	1	4	yes	—
435	#13083553	C₂²×C₄	1	4	yes	—
436	#13083553	C₂²×C₄	1	4	yes	—
437	#13083553	C₂²×C₄	1	4	yes	—
438	C₂²⋊Dic₈₉	—	2	2	no	—
439	C₂²⋊Dic₈₉	—	2	2	no	—
440	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
441	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
442	C₄×Dic₈₉	—	2	2	no	—
443	C₄×Dic₈₉	—	2	2	no	—
444	C₄×Dic₈₉	—	2	2	no	—
445	C₄×Dic₈₉	—	2	2	no	—
446	C₄×Dic₈₉	—	2	2	no	—
447	C₄×Dic₈₉	—	4	1	no	—
448	C₄×Dic₈₉	—	4	1	no	—
449	C₄×Dic₈₉	—	4	1	no	—
450	C₄×Dic₈₉	—	4	1	no	—
451	C₄×Dic₈₉	—	4	1	no	—
452	C₄×Dic₈₉	—	4	1	no	—
453	C₄×Dic₈₉	—	4	1	no	—
454	C₄×Dic₈₉	—	4	1	no	—
455	C₄×Dic₈₉	—	4	1	no	—
456	C₄×Dic₈₉	—	4	1	no	—
457	C₄×Dic₈₉	—	4	1	no	—
458	C₄×Dic₈₉	—	4	1	no	—
459	C₄×Dic₈₉	—	4	1	no	—
460	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
461	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
462	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
463	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
464	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
465	C₂×Q₈×C₈₉	—	4	1	no	—
466	C₂×Q₈×C₈₉	—	4	1	no	—
467	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
468	C₂²×C₄×C₈₉	—	2	2	no	—
469	C₂²×C₄×C₈₉	—	2	2	no	—
470	C₂²×C₄×C₈₉	—	2	2	no	—
471	C₂²×C₄×C₈₉	—	4	1	no	—
472	C₂²×C₄×C₈₉	—	4	1	no	—
473	C₂²×C₄×C₈₉	—	4	1	no	—
474	C₂²×C₄×C₈₉	—	4	1	no	—
475	C₂²×C₄×C₈₉	—	4	1	no	—
476	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
477	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
491	C₄⋊C₄×C₈₉	—	2	2	no	—
492	C₄⋊C₄×C₈₉	—	4	1	no	—
493	C₄⋊C₄×C₈₉	—	4	1	no	—
494	C₄⋊C₄×C₈₉	—	4	1	no	—
495	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
496	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
497	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
498	C₂²⋊C₄×C₈₉	—	2	2	no	—
499	C₂²⋊C₄×C₈₉	—	2	2	no	—
500	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
501	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
502	C₄²×C₈₉	—	2	2	no	—
503	C₄²×C₈₉	—	4	1	no	—
504	C₄²×C₈₉	—	4	1	no	—
505	C₄²×C₈₉	—	4	1	no	—
506	C₄²×C₈₉	—	4	1	no	—
507	C₄²×C₈₉	—	4	1	no	—
508	C₂³×C₈₉	—	2	1	no	—
509	C₂³×C₈₉	—	2	1	no	—
510	C₂³×C₈₉	—	2	1	no	—
511	C₂³×C₈₉	—	2	1	no	—
512	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
513	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
514	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
515	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
516	Q₈×C₈₉	—	4	4	no	—
517	C₂×C₄×C₈₉	—	2	1	no	—
518	C₂×C₄×C₈₉	—	2	1	no	—
519	C₂×C₄×C₈₉	—	2	1	no	—
520	C₂×C₄×C₈₉	—	2	1	no	—
521	C₂×C₄×C₈₉	—	2	1	no	—
522	C₂×C₄×C₈₉	—	2	1	no	—
523	C₂×C₄×C₈₉	—	2	1	no	—
524	C₂×C₄×C₈₉	—	2	1	no	—
525	C₂×C₄×C₈₉	—	2	1	no	—
526	C₂×C₄×C₈₉	—	2	1	no	—
527	C₂×C₄×C₈₉	—	2	1	no	—
528	C₂×C₄×C₈₉	—	2	1	no	—
529	C₂×C₄×C₈₉	—	2	1	no	—
530	C₂×C₄×C₈₉	—	2	1	no	—
531	C₂×C₄×C₈₉	—	2	1	no	—
532	C₂×C₄×C₈₉	—	2	1	no	—
533	C₂×C₄×C₈₉	—	2	1	no	—
534	C₂×C₄×C₈₉	—	2	1	no	—
535	C₂×C₄×C₈₉	—	2	1	no	—
536	C₂×C₄×C₈₉	—	2	1	no	—
537	C₂×C₄×C₈₉	—	2	1	no	—
538	C₂×C₄×C₈₉	—	2	1	no	—
539	C₂×C₄×C₈₉	—	2	1	no	—
540	C₂×C₄×C₈₉	—	2	1	no	—
541	C₂×C₄×C₈₉	—	2	1	no	—
542	C₂×C₄×C₈₉	—	2	1	no	—
543	C₂×C₄×C₈₉	—	2	1	no	—
544	C₂×C₄×C₈₉	—	2	1	no	—
545	C₂×C₄×C₈₉	—	2	1	no	—
546	C₂×C₄×C₈₉	—	2	1	no	—
547	C₂×C₄×C₈₉	—	2	1	no	—
548	C₂×C₄×C₈₉	—	2	1	no	—
549	C₂×C₄×C₈₉	—	2	1	no	—
550	C₂×C₄×C₈₉	—	2	1	no	—
551	C₂×C₄×C₈₉	—	2	1	no	—
552	C₂×C₄×C₈₉	—	4	4	no	—
553	C₂×C₄×C₈₉	—	4	4	no	—
554	C₂×C₄×C₈₉	—	8	2	no	—
555	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
557	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
559	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
560	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
561	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
562	C₂×Dic₈₉	—	2	8	no	—
563	C₂×Dic₈₉	—	2	1	no	—
564	C₂×Dic₈₉	—	2	1	no	—
565	C₂×Dic₈₉	—	2	1	no	—
566	C₂×Dic₈₉	—	2	1	no	—
567	C₂×Dic₈₉	—	2	1	no	—
568	C₂×Dic₈₉	—	2	1	no	—
569	C₂×Dic₈₉	—	2	1	no	—
570	C₂×Dic₈₉	—	2	1	no	—
571	C₂×Dic₈₉	—	2	1	no	—
572	C₂×Dic₈₉	—	2	1	no	—
573	C₂×Dic₈₉	—	2	1	no	—
574	C₂×Dic₈₉	—	2	1	no	—
575	C₂×Dic₈₉	—	2	1	no	—
576	C₂×Dic₈₉	—	2	1	no	—
577	C₂×Dic₈₉	—	2	1	no	—
578	C₂×Dic₈₉	—	2	1	no	—
579	C₂×Dic₈₉	—	2	1	no	—
580	C₂×Dic₈₉	—	2	1	no	—
581	C₂×Dic₈₉	—	2	1	no	—
582	C₂×Dic₈₉	—	2	1	no	—
583	C₂×Dic₈₉	—	2	1	no	—
584	C₂×Dic₈₉	—	2	1	no	—
585	C₂×Dic₈₉	—	2	1	no	—
586	C₂×Dic₈₉	—	2	1	no	—
587	C₂×Dic₈₉	—	2	1	no	—
588	C₂×Dic₈₉	—	2	1	no	—
589	C₂×Dic₈₉	—	2	1	no	—
590	C₂×Dic₈₉	—	2	1	no	—
591	C₂×Dic₈₉	—	2	1	no	—
592	C₂×Dic₈₉	—	2	1	no	—
593	C₂×Dic₈₉	—	2	1	no	—
594	C₂×Dic₈₉	—	2	1	no	—
595	C₂×Dic₈₉	—	2	1	no	—
596	C₂×Dic₈₉	—	2	1	no	—
597	C₂×Dic₈₉	—	2	1	no	—
598	C₂×Dic₈₉	—	2	1	no	—
599	C₂×Dic₈₉	—	2	1	no	—
600	C₂×Dic₈₉	—	2	1	no	—
601	C₂×Dic₈₉	—	2	1	no	—
602	C₂×Dic₈₉	—	4	4	no	—
603	C₂×Dic₈₉	—	4	4	no	—
604	C₂×Dic₈₉	—	8	2	no	—
605	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
606	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
607	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
608	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
609	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
610	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
611	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
612	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
613	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
614	Dic₁₇₈	—	4	4	no	—
615	Dic₁₇₈	—	4	4	no	—
616	Dic₁₇₈	—	4	4	no	—
617	C₂²×C₈₉	—	2	2	no	—
618	C₂²×C₈₉	—	2	2	no	—
619	C₂²×C₈₉	—	2	2	no	—
620	C₂²×C₈₉	—	2	2	no	—
621	C₂²×C₈₉	—	2	2	no	—
622	C₂²×C₈₉	—	2	2	no	—
623	C₂²×C₈₉	#519	1	4	yes	—
624	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
625	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
626	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
627	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
628	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
629	C₂²×C₈₉	#585	1	1	yes	characteristic
630	C₂²×C₈₉	#585	1	1	yes	characteristic
631	C₄×C₈₉	—	2	2	no	—
632	C₄×C₈₉	—	2	2	no	—
633	C₄×C₈₉	—	2	2	no	—
634	C₄×C₈₉	—	2	2	no	—
635	C₄×C₈₉	—	2	2	no	—
636	C₄×C₈₉	—	2	2	no	—
637	C₄×C₈₉	—	2	2	no	—
638	C₄×C₈₉	—	4	1	no	—
639	C₄×C₈₉	—	4	1	no	—
640	C₄×C₈₉	—	4	1	no	—
641	C₄×C₈₉	—	4	1	no	—
642	C₄×C₈₉	—	4	1	no	—
643	C₄×C₈₉	—	4	1	no	—
644	C₄×C₈₉	—	4	1	no	—
645	Dic₈₉	—	2	2	no	—
646	Dic₈₉	—	2	2	no	—
647	Dic₈₉	—	2	2	no	—
648	Dic₈₉	—	2	2	no	—
649	Dic₈₉	—	2	2	no	—
650	Dic₈₉	—	2	2	no	—
651	Dic₈₉	—	2	2	no	—
652	Dic₈₉	—	2	2	no	—
653	Dic₈₉	—	2	2	no	—
654	Dic₈₉	—	4	1	no	—
655	Dic₈₉	—	4	1	no	—
656	Dic₈₉	—	4	1	no	—
657	Dic₈₉	—	4	1	no	—
658	Dic₈₉	—	4	1	no	—
659	Dic₈₉	—	4	1	no	—
660	Dic₈₉	—	4	1	no	—
661	#34432	—	89	1	no	maximal, Sylow
662	C₂×C₈₉	—	2	4	no	—
663	C₂×C₈₉	C₂×#519	1	1	yes	characteristic
664	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
665	C₂×C₈₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
666	C₂×C₈₉	#3535	1	1	yes	characteristic
667	C₂×C₈₉	#3538	1	1	yes	characteristic
668	C₂×C₈₉	#3563	1	1	yes	characteristic
669	C₂×C₈₉	#3564	1	1	yes	characteristic
670	C₂×#544	—	89	1	no	—
671	#2382	—	89	1	no	—
672	#2382	—	89	1	no	—
673	#2381	—	89	1	no	—
674	#2381	—	89	1	no	—
675	#2371	—	89	1	no	—
676	#2371	—	89	1	no	—
677	#2368	—	89	1	no	—
678	#2368	D₈₉	1	1	yes	characteristic
679	#2365	—	89	1	no	—
680	#2365	—	89	1	no	—
681	#2360	—	89	1	no	—
682	#2360	—	89	1	no	—
683	#2343	—	89	1	no	—
684	#2343	—	89	1	no	—
685	#2343	—	89	1	no	—
686	#2343	—	89	1	no	—
687	#2336	—	89	1	no	—
688	#2336	—	89	1	no	—
689	#2336	—	89	1	no	—
690	#2336	—	89	1	no	—
691	#2331	—	89	1	no	—
692	#2331	—	89	1	no	—
693	#2329	—	89	1	no	—
694	#2329	—	89	1	no	—
695	#2327	—	89	1	no	—
696	#2327	—	89	1	no	—
697	#2313	—	89	1	no	—
698	C₄×C₂²⋊Q₈	—	89	1	no	—
699	C₄×C₂²⋊Q₈	—	89	1	no	—
700	C₂×#387	—	89	1	no	—
701	C₈₉	#34432	1	1	yes	characteristic, complemented, Sylow
702	#544	—	89	16	no	—
703	C₂×C₄⋊Q₈	—	89	1	no	—
704	C₂×C₄⋊Q₈	—	89	1	no	—
705	C₂×C₄⋊Q₈	—	89	1	no	—
706	C₂×C₄⋊Q₈	—	89	1	no	—
707	C₂×#125	—	89	1	no	—
708	C₂×#125	—	89	1	no	—
709	C₂×#125	—	89	1	no	—
710	C₂×#125	—	89	1	no	—
711	C₂×C₂²⋊Q₈	—	89	1	no	—
712	C₂×C₂²⋊Q₈	—	89	1	no	—
713	C₂×C₂²⋊Q₈	—	89	1	no	—
714	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
715	C₂×C₄×Q₈	—	89	1	no	—
716	C₂×C₄×Q₈	—	89	1	no	—
717	C₂×C₄×Q₈	—	89	1	no	—
718	C₂×C₄×Q₈	—	89	1	no	—
719	C₂×#117	—	89	1	no	—
720	C₂×#117	—	89	1	no	—
721	C₂²×C₄⋊C₄	—	89	1	no	—
722	C₂²×C₄⋊C₄	—	89	1	no	—
723	C₂²×C₄²	—	89	1	no	—
724	#391	—	89	1	no	—
725	#391	—	89	1	no	—
726	#391	—	89	1	no	—
727	#391	—	89	1	no	—
728	#391	—	89	1	no	—
729	#391	—	89	1	no	—
730	#391	—	89	1	no	—
731	#391	—	89	1	no	—
732	#391	—	89	1	no	—
733	#391	—	89	1	no	—
734	#391	C₂×D₈₉	1	1	yes	characteristic
735	#391	C₂×D₈₉	1	1	yes	characteristic
736	#389	—	89	1	no	—
737	#389	—	89	1	no	—
738	#389	—	89	1	no	—
739	#389	—	89	1	no	—
740	#389	—	89	1	no	—
741	#389	—	89	1	no	—
742	#389	—	89	1	no	—
743	#389	—	89	1	no	—
744	#389	—	89	1	no	—
745	#389	—	89	1	no	—
746	#389	—	89	1	no	—
747	#389	—	89	1	no	—
748	#387	—	89	1	no	—
749	#387	—	89	1	no	—
750	#387	—	89	1	no	—
751	#387	—	89	1	no	—
752	#387	—	89	1	no	—
753	#387	—	89	1	no	—
754	#387	—	89	1	no	—
755	#387	—	89	1	no	—
756	#387	—	89	1	no	—
757	#387	—	89	1	no	—
758	#387	—	89	1	no	—
759	#387	—	89	1	no	—
760	#387	—	89	1	no	—
761	#387	—	89	1	no	—
762	#387	—	89	1	no	—
763	#387	—	89	1	no	—
764	#387	—	89	1	no	—
765	#387	—	89	1	no	—
766	#387	—	89	1	no	—
767	#387	—	89	1	no	—
768	#387	—	89	1	no	—
769	#387	—	89	1	no	—
770	#387	—	89	1	no	—
771	#387	—	89	1	no	—
772	#387	—	89	1	no	—
773	#387	—	89	1	no	—
774	#387	—	89	1	no	—
775	#387	—	89	1	no	—
776	#387	—	89	1	no	—
777	#387	—	89	1	no	—
778	#387	—	89	1	no	—
779	#387	—	89	1	no	—
780	#387	—	89	1	no	—
781	#387	—	89	1	no	—
782	#387	—	89	1	no	—
783	#387	—	89	1	no	—
784	#387	—	89	1	no	—
785	#387	—	89	1	no	—
786	#387	—	89	1	no	—
787	#387	—	89	1	no	—
788	#387	—	89	1	no	—
789	#387	—	89	1	no	—
790	#387	—	89	1	no	—
791	#387	—	89	1	no	—
792	#387	—	89	1	no	—
793	#387	—	89	1	no	—
794	#387	—	89	1	no	—
795	#387	—	89	1	no	—
796	#387	—	89	1	no	—
797	#387	—	89	1	no	—
798	#387	—	89	1	no	—
799	#387	—	89	1	no	—
800	#387	C₂×D₈₉	1	1	yes	characteristic
801	#387	C₂×D₈₉	1	1	yes	characteristic
802	#387	C₂×D₈₉	1	1	yes	characteristic
803	#387	C₂×D₈₉	1	1	yes	characteristic
804	#385	—	89	1	no	—
805	#385	—	89	1	no	—
806	#385	—	89	1	no	—
807	#385	—	89	1	no	—
808	#385	—	89	1	no	—
809	#385	—	89	1	no	—
810	#385	C₂×D₈₉	1	1	yes	characteristic
811	#385	C₂×D₈₉	1	1	yes	characteristic
812	#383	—	89	1	no	—
813	#383	—	89	1	no	—
814	#383	—	89	1	no	—
815	#383	—	89	1	no	—
816	#382	—	89	1	no	—
817	#382	—	89	1	no	—
818	#382	—	89	1	no	—
819	#382	—	89	1	no	—
820	#381	—	89	1	no	—
821	#381	—	89	1	no	—
822	#380	—	89	1	no	—
823	#380	—	89	1	no	—
824	C₄×C₄⋊C₄	—	89	1	no	—
825	C₄×C₄⋊C₄	—	89	1	no	—
826	C₄×C₄⋊C₄	—	89	1	no	—
827	C₄×C₄⋊C₄	—	89	1	no	—
828	C₄×C₄⋊C₄	—	89	1	no	—
829	C₄×C₄⋊C₄	—	89	1	no	—
830	C₄×C₄⋊C₄	—	89	1	no	—
831	C₄×C₄⋊C₄	—	89	1	no	—
832	C₄×C₄⋊C₄	—	89	1	no	—
833	C₄×C₄⋊C₄	—	89	1	no	—
834	C₄×C₄⋊C₄	—	89	1	no	—
835	C₄×C₄⋊C₄	—	89	1	no	—
836	C₄×C₄⋊C₄	—	89	1	no	—
837	C₄×C₄⋊C₄	—	89	1	no	—
838	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
839	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
840	C₄×C₂²⋊C₄	—	89	1	no	—
841	C₄×C₂²⋊C₄	—	89	1	no	—
842	C₄×C₂²⋊C₄	—	89	1	no	—
843	C₄×C₂²⋊C₄	—	89	1	no	—
844	C₄×C₂²⋊C₄	—	89	1	no	—
845	C₄×C₂²⋊C₄	—	89	1	no	—
846	C₄×C₂²⋊C₄	—	89	1	no	—
847	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
848	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
850	#376	—	89	1	no	—
851	#376	—	89	1	no	—
852	#376	—	89	1	no	—
853	#376	—	89	1	no	—
854	C₂×#95	—	89	1	no	—
855	C₂×#95	—	89	1	no	—
856	C₂×#95	—	89	1	no	—
857	C₂×#95	C₂×D₈₉	1	1	yes	characteristic
858	C₂²×Q₈	—	89	1	no	—
859	C₂²×Q₈	—	89	1	no	—
860	C₂²×Q₈	—	89	1	no	—
861	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
862	C₂³×C₄	—	89	1	no	—
863	C₂³×C₄	—	89	1	no	—
864	C₂³×C₄	—	89	1	no	—
865	C₂³×C₄	—	89	1	no	—
866	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
867	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
869	C₄⋊Q₈	—	89	8	no	—
870	C₄⋊Q₈	—	89	8	no	—
871	C₄⋊Q₈	—	89	8	no	—
872	C₄⋊Q₈	—	89	8	no	—
873	#125	—	89	8	no	—
874	#125	—	89	8	no	—
875	#125	—	89	8	no	—
876	#125	—	89	8	no	—
877	C₂²⋊Q₈	—	89	8	no	—
878	C₂²⋊Q₈	—	89	8	no	—
879	C₂²⋊Q₈	—	89	8	no	—
880	C₂²⋊Q₈	C₄×D₈₉	1	8	yes	—
881	C₄×Q₈	—	356	2	no	—
882	C₄×Q₈	—	356	2	no	—
883	C₄×Q₈	—	356	2	no	—
884	C₄×Q₈	—	356	2	no	—
885	#117	—	89	8	no	—
886	#117	—	89	8	no	—
887	C₂×C₄⋊C₄	—	89	8	no	—
888	C₂×C₄⋊C₄	—	89	1	no	—
889	C₂×C₄⋊C₄	—	89	1	no	—
890	C₂×C₄⋊C₄	—	89	1	no	—
891	C₂×C₄⋊C₄	—	89	1	no	—
892	C₂×C₄⋊C₄	—	89	1	no	—
893	C₂×C₄⋊C₄	—	89	1	no	—
894	C₂×C₄⋊C₄	—	89	1	no	—
895	C₂×C₄⋊C₄	—	89	1	no	—
896	C₂×C₄⋊C₄	—	89	1	no	—
897	C₂×C₄⋊C₄	—	89	1	no	—
898	C₂×C₄⋊C₄	—	89	1	no	—
899	C₂×C₄⋊C₄	—	89	1	no	—
900	C₂×C₄⋊C₄	—	89	1	no	—
901	C₂×C₄⋊C₄	—	89	1	no	—
902	C₂×C₄⋊C₄	—	89	1	no	—
903	C₂×C₄⋊C₄	—	89	1	no	—
904	C₂×C₄⋊C₄	—	89	1	no	—
905	C₂×C₄⋊C₄	—	89	1	no	—
906	C₂×C₄⋊C₄	—	89	1	no	—
907	C₂×C₄⋊C₄	—	89	1	no	—
908	C₂×C₄⋊C₄	—	89	1	no	—
909	C₂×C₄⋊C₄	—	89	1	no	—
910	C₂×C₄⋊C₄	—	89	1	no	—
911	C₂×C₄⋊C₄	—	89	1	no	—
912	C₂×C₄⋊C₄	—	89	1	no	—
913	C₂×C₄⋊C₄	—	89	1	no	—
914	C₂×C₄⋊C₄	—	89	1	no	—
915	C₂×C₄⋊C₄	—	89	1	no	—
916	C₂×C₄⋊C₄	—	89	1	no	—
917	C₂×C₄⋊C₄	—	89	1	no	—
918	C₂×C₄⋊C₄	—	89	1	no	—
919	C₂×C₄⋊C₄	—	89	1	no	—
920	C₂×C₄⋊C₄	—	89	1	no	—
921	C₂×C₄⋊C₄	—	89	1	no	—
922	C₂×C₄⋊C₄	—	89	1	no	—
923	C₂×C₄⋊C₄	—	89	1	no	—
924	C₂×C₄⋊C₄	—	89	1	no	—
925	C₂×C₄⋊C₄	—	356	2	no	—
926	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	—	89	1	no	—
934	C₂×C₂²⋊C₄	—	89	1	no	—
935	C₂×C₂²⋊C₄	—	89	1	no	—
936	C₂×C₂²⋊C₄	—	89	1	no	—
937	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
941	C₂×C₄²	—	89	1	no	—
942	C₂×C₄²	—	89	1	no	—
943	C₂×C₄²	—	89	1	no	—
944	C₂×C₄²	—	89	1	no	—
945	C₂×C₄²	—	89	1	no	—
946	C₂×C₄²	—	89	1	no	—
947	C₂×C₄²	—	89	1	no	—
948	C₂×C₄²	—	89	1	no	—
949	C₂×C₄²	—	89	1	no	—
950	C₂×C₄²	—	89	1	no	—
951	C₂×C₄²	—	89	1	no	—
952	C₂×C₄²	—	89	1	no	—
953	C₂×C₄²	—	89	1	no	—
954	C₂×C₄²	—	89	1	no	—
955	C₂×C₄²	—	89	1	no	—
956	C₂×C₄²	—	89	1	no	—
957	C₂×C₄²	—	89	1	no	—
958	C₂×C₄²	—	89	1	no	—
959	C₂×C₄²	—	89	1	no	—
960	C₂×C₄²	—	89	1	no	—
961	C₂×C₄²	—	89	1	no	—
962	C₂×C₄²	—	89	1	no	—
963	C₂×C₄²	—	356	2	no	—
964	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
965	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
967	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
968	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
969	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
970	#95	—	89	1	no	—
971	#95	—	89	1	no	—
972	#95	—	89	1	no	—
973	#95	—	89	1	no	—
974	#95	—	89	1	no	—
975	#95	—	89	1	no	—
976	#95	—	89	1	no	—
977	#95	—	89	1	no	—
978	#95	—	89	1	no	—
979	#95	—	89	1	no	—
980	#95	—	89	1	no	—
981	#95	—	89	1	no	—
982	#95	—	89	1	no	—
983	#95	—	89	1	no	—
984	#95	—	89	1	no	—
985	#95	—	89	1	no	—
986	#95	—	89	1	no	—
987	#95	—	89	1	no	—
988	#95	—	89	1	no	—
989	#95	—	89	1	no	—
990	#95	—	89	1	no	—
991	#95	—	89	1	no	—
992	#95	—	89	1	no	—
993	#95	—	89	1	no	—
994	#95	—	89	1	no	—
995	#95	—	89	1	no	—
996	#95	—	89	1	no	—
997	#95	—	89	1	no	—
998	#95	—	89	1	no	—
999	#95	—	89	1	no	—
1000	#95	—	89	1	no	—
1001	#95	—	89	1	no	—
1002	#95	—	89	1	no	—
1003	#95	—	89	1	no	—
1004	#95	—	89	1	no	—
1005	#95	—	89	1	no	—
1006	#95	—	89	1	no	—
1007	#95	—	89	1	no	—
1008	#95	—	89	1	no	—
1009	#95	—	89	1	no	—
1010	#95	—	89	1	no	—
1011	#95	—	89	1	no	—
1012	#95	—	89	1	no	—
1013	#95	—	89	1	no	—
1014	#95	—	89	1	no	—
1015	#95	—	89	1	no	—
1016	#95	—	89	1	no	—
1017	#95	—	89	1	no	—
1018	#95	—	89	1	no	—
1019	#95	—	89	1	no	—
1020	#95	C₂²×D₈₉	1	1	yes	characteristic
1021	#95	C₂²×D₈₉	1	1	yes	characteristic
1022	#95	C₂²×D₈₉	1	1	yes	characteristic
1023	#95	C₂²×D₈₉	1	1	yes	characteristic
1024	#95	C₂²×D₈₉	1	1	yes	characteristic
1025	#95	C₂²×D₈₉	1	1	yes	characteristic
1026	#95	C₂²×D₈₉	1	1	yes	characteristic
1027	#95	C₂²×D₈₉	1	1	yes	characteristic
1028	#95	C₂²×D₈₉	1	1	yes	characteristic
1029	#95	C₂²×D₈₉	1	1	yes	characteristic
1030	#95	C₂²×D₈₉	1	1	yes	characteristic
1031	#95	C₂²×D₈₉	1	1	yes	characteristic
1032	#95	C₂²×D₈₉	1	1	yes	characteristic
1033	#95	C₂²×D₈₉	1	1	yes	characteristic
1034	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1035	C₂×Q₈	—	4	1	no	—
1036	C₂×Q₈	—	4	1	no	—
1037	C₂×Q₈	—	89	4	no	—
1038	C₂×Q₈	—	89	4	no	—
1039	C₂×Q₈	—	89	4	no	—
1040	C₂×Q₈	—	356	1	no	—
1041	C₂×Q₈	—	356	1	no	—
1042	C₂×Q₈	—	356	1	no	—
1043	C₂×Q₈	—	356	1	no	—
1044	C₂×Q₈	—	356	1	no	—
1045	C₂×Q₈	—	356	1	no	—
1046	C₂×Q₈	C₂×C₄×D₈₉	1	4	yes	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	89	4	no	—
1056	C₂²×C₄	—	89	4	no	—
1057	C₂²×C₄	—	89	1	no	—
1058	C₂²×C₄	—	89	1	no	—
1059	C₂²×C₄	—	89	1	no	—
1060	C₂²×C₄	—	89	1	no	—
1061	C₂²×C₄	—	89	1	no	—
1062	C₂²×C₄	—	89	1	no	—
1063	C₂²×C₄	—	89	1	no	—
1064	C₂²×C₄	—	89	1	no	—
1065	C₂²×C₄	—	89	1	no	—
1066	C₂²×C₄	—	89	1	no	—
1067	C₂²×C₄	—	89	1	no	—
1068	C₂²×C₄	—	89	1	no	—
1069	C₂²×C₄	—	89	1	no	—
1070	C₂²×C₄	—	89	1	no	—
1071	C₂²×C₄	—	89	1	no	—
1072	C₂²×C₄	—	89	1	no	—
1073	C₂²×C₄	—	356	1	no	—
1074	C₂²×C₄	—	356	1	no	—
1075	C₂²×C₄	—	356	1	no	—
1076	C₂²×C₄	—	356	1	no	—
1077	C₂²×C₄	—	356	1	no	—
1078	C₂²×C₄	—	178	2	no	—
1079	C₂²×C₄	—	178	2	no	—
1080	C₂²×C₄	—	178	2	no	—
1081	C₂²×C₄	—	178	2	no	—
1082	C₂²×C₄	—	178	2	no	—
1083	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1084	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	89	4	no	—
1103	C₄⋊C₄	—	89	4	no	—
1104	C₄⋊C₄	—	89	4	no	—
1105	C₄⋊C₄	—	89	4	no	—
1106	C₄⋊C₄	—	89	4	no	—
1107	C₄⋊C₄	—	89	4	no	—
1108	C₄⋊C₄	—	89	4	no	—
1109	C₄⋊C₄	—	89	4	no	—
1110	C₄⋊C₄	—	89	4	no	—
1111	C₄⋊C₄	—	89	4	no	—
1112	C₄⋊C₄	—	89	4	no	—
1113	C₄⋊C₄	—	89	4	no	—
1114	C₄⋊C₄	—	89	4	no	—
1115	C₄⋊C₄	—	89	4	no	—
1116	C₄⋊C₄	—	89	4	no	—
1117	C₄⋊C₄	—	89	4	no	—
1118	C₄⋊C₄	—	89	4	no	—
1119	C₄⋊C₄	—	356	1	no	—
1120	C₄⋊C₄	—	356	1	no	—
1121	C₄⋊C₄	—	356	1	no	—
1122	C₄⋊C₄	—	356	1	no	—
1123	C₄⋊C₄	—	356	1	no	—
1124	C₄⋊C₄	—	356	1	no	—
1125	C₄⋊C₄	—	356	1	no	—
1126	C₄⋊C₄	—	356	1	no	—
1127	C₄⋊C₄	—	356	1	no	—
1128	C₄⋊C₄	—	356	1	no	—
1129	C₄⋊C₄	—	356	1	no	—
1130	C₄⋊C₄	—	356	1	no	—
1131	C₄⋊C₄	—	356	1	no	—
1132	C₄⋊C₄	—	356	1	no	—
1133	C₄⋊C₄	—	356	1	no	—
1134	C₄⋊C₄	—	178	2	no	—
1135	C₄⋊C₄	—	178	2	no	—
1136	C₄⋊C₄	—	178	2	no	—
1137	C₄⋊C₄	—	178	2	no	—
1138	C₄⋊C₄	—	178	2	no	—
1139	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1140	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1141	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	89	4	no	—
1145	C₂²⋊C₄	—	89	4	no	—
1146	C₂²⋊C₄	—	178	2	no	—
1147	C₂²⋊C₄	—	178	2	no	—
1148	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1149	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1150	C₄²	—	2	2	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	4	1	no	—
1155	C₄²	—	4	1	no	—
1156	C₄²	—	89	4	no	—
1157	C₄²	—	89	4	no	—
1158	C₄²	—	89	4	no	—
1159	C₄²	—	89	4	no	—
1160	C₄²	—	356	1	no	—
1161	C₄²	—	356	1	no	—
1162	C₄²	—	356	1	no	—
1163	C₄²	—	356	1	no	—
1164	C₄²	—	356	1	no	—
1165	C₄²	—	356	1	no	—
1166	C₄²	—	356	1	no	—
1167	C₄²	—	356	1	no	—
1168	C₄²	—	356	1	no	—
1169	C₄²	—	356	1	no	—
1170	C₄²	—	356	1	no	—
1171	C₄²	—	356	1	no	—
1172	C₄²	—	356	1	no	—
1173	C₄²	—	178	2	no	—
1174	C₄²	—	178	2	no	—
1175	C₄²	—	178	2	no	—
1176	C₄²	—	178	2	no	—
1177	C₄²	—	178	2	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1183	C₂³	#15668059	1	2	yes	—
1184	C₂³	#15668060	1	2	yes	—
1185	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1186	Q₈	—	4	4	no	—
1187	Q₈	—	356	4	no	—
1188	Q₈	—	356	4	no	—
1189	Q₈	—	356	4	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	4	4	no	—
1226	C₂×C₄	—	4	4	no	—
1227	C₂×C₄	—	8	2	no	—
1228	C₂×C₄	—	89	2	no	—
1229	C₂×C₄	—	89	2	no	—
1230	C₂×C₄	—	89	2	no	—
1231	C₂×C₄	—	89	2	no	—
1232	C₂×C₄	—	89	2	no	—
1233	C₂×C₄	—	89	2	no	—
1234	C₂×C₄	—	89	2	no	—
1235	C₂×C₄	—	89	2	no	—
1236	C₂×C₄	—	89	2	no	—
1237	C₂×C₄	—	356	4	no	—
1238	C₂×C₄	—	356	4	no	—
1239	C₂×C₄	—	178	1	no	—
1240	C₂×C₄	—	178	1	no	—
1241	C₂×C₄	—	178	1	no	—
1242	C₂×C₄	—	178	1	no	—
1243	C₂×C₄	—	178	1	no	—
1244	C₂×C₄	—	178	1	no	—
1245	C₂×C₄	—	178	1	no	—
1246	C₂×C₄	—	178	1	no	—
1247	C₂×C₄	—	178	1	no	—
1248	C₂×C₄	—	178	1	no	—
1249	C₂×C₄	—	178	1	no	—
1250	C₂×C₄	—	178	1	no	—
1251	C₂×C₄	—	178	1	no	—
1252	C₂×C₄	—	178	1	no	—
1253	C₂×C₄	—	178	1	no	—
1254	C₂×C₄	—	178	1	no	—
1255	C₂×C₄	—	178	1	no	—
1256	C₂×C₄	—	178	1	no	—
1257	C₂×C₄	—	178	1	no	—
1258	C₂×C₄	—	178	1	no	—
1259	C₂×C₄	—	178	1	no	—
1260	C₂×C₄	—	178	1	no	—
1261	C₂×C₄	—	178	1	no	—
1262	C₂×C₄	—	178	1	no	—
1263	C₂×C₄	—	178	1	no	—
1264	C₂×C₄	—	178	1	no	—
1265	C₂×C₄	—	178	1	no	—
1266	C₂×C₄	—	178	1	no	—
1267	C₂×C₄	—	178	1	no	—
1268	C₂×C₄	—	178	1	no	—
1269	C₂×C₄	—	178	1	no	—
1270	C₂×C₄	—	178	1	no	—
1271	C₂×C₄	—	178	1	no	—
1272	C₂×C₄	—	178	1	no	—
1273	C₂×C₄	—	178	1	no	—
1274	C₂×C₄	—	178	1	no	—
1275	C₂×C₄	—	178	1	no	—
1276	C₂×C₄	—	178	1	no	—
1277	C₂×C₄	—	178	1	no	—
1278	C₂×C₄	—	178	8	no	—
1279	C₂×C₄	—	712	2	no	—
1280	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1281	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1282	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1283	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1284	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1285	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1286	C₂×C₄	#15668059	1	2	yes	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	#19152074	1	4	yes	—
1294	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1295	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1296	C₂²	C₂×#15668059	1	1	yes	characteristic
1297	C₂²	C₂×#15668059	1	1	yes	characteristic
1298	C₂²	C₂×#15668060	1	1	yes	characteristic
1299	C₂²	#19152433	1	1	yes	characteristic
1300	C₂²	#19152434	1	1	yes	characteristic
1301	C₄	—	2	2	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	356	1	no	—
1316	C₄	—	356	1	no	—
1317	C₄	—	356	1	no	—
1318	C₄	—	356	1	no	—
1319	C₄	—	356	1	no	—
1320	C₄	—	356	1	no	—
1321	C₄	—	356	1	no	—
1322	C₄	—	178	2	no	—
1323	C₄	—	178	2	no	—
1324	C₄	—	178	2	no	—
1325	C₄	—	178	2	no	—
1326	C₄	—	178	2	no	—
1327	C₄	—	178	2	no	—
1328	C₄	—	178	2	no	—
1329	C₄	—	178	2	no	—
1330	C₄	—	178	2	no	—
1331	C₂	—	2	4	no	—
1332	C₂	C₂×#19152074	1	1	yes	characteristic
1333	C₂	#26033456	1	1	yes	characteristic
1334	C₂	C₄×#15668059	1	1	yes	characteristic
1335	C₂	#26034456	1	1	yes	characteristic
1336	C₂	#26034492	1	1	yes	characteristic
1337	C₂	#26034856	1	1	yes	characteristic
1338	C₂	#26034864	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2368	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂⁴×C₈₉	C₂⁴
hypercenter	#2368	D₈₉
hypocenter	C₈₉	#34432
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2368

Complements

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

N	H ≅ G/N	type
2. #26023436	C₂	semidirect
3. #26023436	C₂	semidirect
4. #26023431	C₂	semidirect
5. #26023430	C₂	semidirect
6. #26023355	C₂	semidirect
7. #26023354	C₂	semidirect
9. #26023311	C₂	semidirect
10. #26023309	C₂	semidirect
17. #26023057	C₂	semidirect
18. #26023057	C₂	semidirect
19. #26023054	C₂	semidirect
20. #26023051	C₂	semidirect
21. #26022996	C₂	semidirect
22. #26022995	C₂	semidirect
25. #26022970	C₂	semidirect
26. #26022967	C₂	semidirect
32. #19152227	C₄	semidirect
195. #15668011	C₂×C₄	semidirect
196. #15668011	C₂×C₄	semidirect
197. #15668010	C₂×C₄	semidirect
198. #15668010	C₂×C₄	semidirect
199. #15668002	C₂×C₄	semidirect
200. #15668002	C₂×C₄	semidirect
201. #15668002	C₂×C₄	semidirect
202. #15668002	C₂×C₄	semidirect
701. C₈₉	#34432	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152227	2
#26023436	2
#26023431	2
#26023430	2
#26023355	2
#26023354	2
#26023332	2
#26023311	2
#26023309	2
#26023261	2
#26023255	2
#26023110	2
#26023106	2
#26023057	2
#26023054	2
#26023051	2
#26022996	2
#26022995	2
#26022983	2
#26022980	2
#26022970	2
#26022967	2
#26022852	2
#26022784	2
C₄×#15667989	2
C₂×#19151485	2
C₈₉×#2368	2
#34432	89