Subgroups — C₈₉×#34440 #36412288

Order 22784.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#542×C₈₉	C₂	1	1	yes	maximal, characteristic
2	C₈₉×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2379	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2379	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2377	C₂	1	1	yes	maximal, characteristic
6	C₈₉×#2374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#2373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2372	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2368	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2367	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2364	C₂	1	1	yes	maximal, characteristic
12	C₈₉×#2362	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2356	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2355	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2346	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#2337	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2335	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#2334	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2332	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2332	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#2331	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2329	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#2327	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2326	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#2318	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₂²⋊Q₈×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#123×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	#542×C₈₉	C₄	1	16	yes	complemented
33	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
34	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
35	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
36	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
38	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
39	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
40	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
44	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
51	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
52	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic
54	#391×C₈₉	C₂²	1	1	yes	characteristic
55	#391×C₈₉	C₂²	1	1	yes	characteristic
56	#391×C₈₉	C₂²	1	1	yes	characteristic
57	#391×C₈₉	C₂²	1	1	yes	characteristic
58	#391×C₈₉	C₂²	1	1	yes	characteristic
59	#391×C₈₉	C₂²	1	1	yes	characteristic
60	#391×C₈₉	C₂²	1	1	yes	characteristic
61	#391×C₈₉	C₂²	1	1	yes	characteristic
62	#391×C₈₉	C₂²	1	1	yes	characteristic
63	#391×C₈₉	C₂²	1	1	yes	characteristic
64	#390×C₈₉	C₂²	1	1	yes	characteristic
65	#390×C₈₉	C₂²	1	1	yes	characteristic
66	#389×C₈₉	C₂²	1	1	yes	characteristic
67	#389×C₈₉	C₂²	1	1	yes	characteristic
68	#389×C₈₉	C₂²	1	1	yes	characteristic
69	#389×C₈₉	C₂²	1	1	yes	characteristic
70	#389×C₈₉	C₂²	1	1	yes	characteristic
71	#389×C₈₉	C₂²	1	1	yes	characteristic
72	#388×C₈₉	C₂²	1	1	yes	characteristic
73	#388×C₈₉	C₂²	1	1	yes	characteristic
74	#388×C₈₉	C₂²	1	1	yes	characteristic
75	#388×C₈₉	C₂²	1	1	yes	characteristic
76	#388×C₈₉	C₂²	1	1	yes	characteristic
77	#388×C₈₉	C₂²	1	1	yes	characteristic
78	#388×C₈₉	C₂²	1	1	yes	characteristic
79	#388×C₈₉	C₂²	1	1	yes	characteristic
80	#388×C₈₉	C₂²	1	1	yes	characteristic
81	#388×C₈₉	C₂²	1	1	yes	characteristic
82	#388×C₈₉	C₂²	1	1	yes	characteristic
83	#388×C₈₉	C₂²	1	1	yes	characteristic
84	#388×C₈₉	C₂²	1	1	yes	characteristic
85	#388×C₈₉	C₂²	1	1	yes	characteristic
86	#388×C₈₉	C₂²	1	1	yes	characteristic
87	#388×C₈₉	C₂²	1	1	yes	characteristic
88	#388×C₈₉	C₂²	1	1	yes	characteristic
89	#388×C₈₉	C₂²	1	1	yes	characteristic
90	#388×C₈₉	C₂²	1	1	yes	characteristic
91	#388×C₈₉	C₂²	1	1	yes	characteristic
92	#388×C₈₉	C₂²	1	1	yes	characteristic
93	#388×C₈₉	C₂²	1	1	yes	characteristic
94	#388×C₈₉	C₂²	1	1	yes	characteristic
95	#388×C₈₉	C₂²	1	1	yes	characteristic
96	#387×C₈₉	C₂²	1	1	yes	characteristic
97	#387×C₈₉	C₂²	1	1	yes	characteristic
98	#387×C₈₉	C₂²	1	1	yes	characteristic
99	#387×C₈₉	C₂²	1	1	yes	characteristic
100	#387×C₈₉	C₂²	1	1	yes	characteristic
101	#387×C₈₉	C₂²	1	1	yes	characteristic
102	#387×C₈₉	C₂²	1	1	yes	characteristic
103	#387×C₈₉	C₂²	1	1	yes	characteristic
104	#387×C₈₉	C₂²	1	1	yes	characteristic
105	#387×C₈₉	C₂²	1	1	yes	characteristic
106	#387×C₈₉	C₂²	1	1	yes	characteristic
107	#387×C₈₉	C₂²	1	1	yes	characteristic
108	#387×C₈₉	C₂²	1	1	yes	characteristic
109	#387×C₈₉	C₂²	1	1	yes	characteristic
110	#387×C₈₉	C₂²	1	1	yes	characteristic
111	#387×C₈₉	C₂²	1	1	yes	characteristic
112	#387×C₈₉	C₂²	1	1	yes	characteristic
113	#387×C₈₉	C₂²	1	1	yes	characteristic
114	#387×C₈₉	C₂²	1	1	yes	characteristic
115	#387×C₈₉	C₂²	1	1	yes	characteristic
116	#387×C₈₉	C₂²	1	1	yes	characteristic
117	#387×C₈₉	C₂²	1	1	yes	characteristic
118	#387×C₈₉	C₂²	1	1	yes	characteristic
119	#387×C₈₉	C₂²	1	1	yes	characteristic
120	#386×C₈₉	C₂²	1	1	yes	characteristic
121	#386×C₈₉	C₂²	1	1	yes	characteristic
122	#386×C₈₉	C₂²	1	1	yes	characteristic
123	#386×C₈₉	C₂²	1	1	yes	characteristic
124	#386×C₈₉	C₂²	1	1	yes	characteristic
125	#386×C₈₉	C₂²	1	1	yes	characteristic
126	#386×C₈₉	C₂²	1	1	yes	characteristic
127	#386×C₈₉	C₂²	1	1	yes	characteristic
128	#385×C₈₉	C₂²	1	1	yes	characteristic
129	#385×C₈₉	C₂²	1	1	yes	characteristic
130	#385×C₈₉	C₂²	1	1	yes	characteristic
131	#385×C₈₉	C₂²	1	1	yes	characteristic
132	#385×C₈₉	C₂²	1	1	yes	characteristic
133	#385×C₈₉	C₂²	1	1	yes	characteristic
134	#385×C₈₉	C₂²	1	1	yes	characteristic
135	#385×C₈₉	C₂²	1	1	yes	characteristic
136	#385×C₈₉	C₂²	1	1	yes	characteristic
137	#385×C₈₉	C₂²	1	1	yes	characteristic
138	#385×C₈₉	C₂²	1	1	yes	characteristic
139	#385×C₈₉	C₂²	1	1	yes	characteristic
140	#385×C₈₉	C₂²	1	1	yes	characteristic
141	#385×C₈₉	C₂²	1	1	yes	characteristic
142	#384×C₈₉	C₂²	1	1	yes	characteristic
143	#383×C₈₉	C₂²	1	1	yes	characteristic
144	#383×C₈₉	C₂²	1	1	yes	characteristic
145	#382×C₈₉	C₂²	1	1	yes	characteristic
146	#382×C₈₉	C₂²	1	1	yes	characteristic
147	#382×C₈₉	C₂²	1	1	yes	characteristic
148	#382×C₈₉	C₂²	1	1	yes	characteristic
149	#382×C₈₉	C₂²	1	1	yes	characteristic
150	#381×C₈₉	C₂²	1	1	yes	characteristic
151	#381×C₈₉	C₂²	1	1	yes	characteristic
152	#380×C₈₉	C₂²	1	1	yes	characteristic
153	#380×C₈₉	C₂²	1	1	yes	characteristic
154	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
155	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
156	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
157	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
158	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
159	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
161	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
162	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
166	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
167	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
182	#376×C₈₉	C₂²	1	1	yes	characteristic
183	#376×C₈₉	C₂²	1	1	yes	characteristic
184	#376×C₈₉	C₂²	1	1	yes	characteristic
185	#376×C₈₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
203	C₄⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
204	#126×C₈₉	C₂×C₄	1	8	yes	complemented
205	#126×C₈₉	C₂×C₄	1	8	yes	complemented
206	#124×C₈₉	C₂×C₄	1	8	yes	complemented
207	#124×C₈₉	C₂×C₄	1	8	yes	complemented
208	#124×C₈₉	C₂×C₄	1	8	yes	complemented
209	#123×C₈₉	C₂×C₄	1	8	yes	complemented
210	#123×C₈₉	C₂×C₄	1	8	yes	complemented
211	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
212	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
213	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
214	#121×C₈₉	C₂×C₄	1	8	yes	—
215	C₄×Q₈×C₈₉	—	4	2	no	—
216	C₄×Q₈×C₈₉	—	4	2	no	—
217	C₄×Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
218	C₄×D₄×C₈₉	—	4	2	no	—
219	C₄×D₄×C₈₉	—	4	2	no	—
220	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
221	#117×C₈₉	—	4	2	no	—
222	#117×C₈₉	C₂×C₄	1	8	yes	complemented
223	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₈₉	—	4	2	no	—
286	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
312	#95×C₈₉	C₂³	1	1	yes	characteristic
313	#95×C₈₉	C₂³	1	1	yes	characteristic
314	#95×C₈₉	C₂³	1	1	yes	characteristic
315	#95×C₈₉	C₂³	1	1	yes	characteristic
316	#95×C₈₉	C₂³	1	1	yes	characteristic
317	#95×C₈₉	C₂³	1	1	yes	characteristic
318	#95×C₈₉	C₂³	1	1	yes	characteristic
319	#95×C₈₉	C₂³	1	1	yes	characteristic
320	#95×C₈₉	C₂³	1	1	yes	characteristic
321	#95×C₈₉	C₂³	1	1	yes	characteristic
322	#95×C₈₉	C₂³	1	1	yes	characteristic
323	#95×C₈₉	C₂³	1	1	yes	characteristic
324	#95×C₈₉	C₂³	1	1	yes	characteristic
325	#95×C₈₉	C₂³	1	1	yes	characteristic
326	#95×C₈₉	C₂³	1	1	yes	characteristic
327	#95×C₈₉	C₂³	1	1	yes	characteristic
328	#95×C₈₉	C₂³	1	1	yes	characteristic
329	#95×C₈₉	C₂³	1	1	yes	characteristic
330	#95×C₈₉	C₂³	1	1	yes	characteristic
331	#95×C₈₉	C₂³	1	1	yes	characteristic
332	#95×C₈₉	C₂³	1	1	yes	characteristic
333	#95×C₈₉	C₂³	1	1	yes	characteristic
334	#95×C₈₉	C₂³	1	1	yes	characteristic
335	#95×C₈₉	C₂³	1	1	yes	characteristic
336	#95×C₈₉	C₂³	1	1	yes	characteristic
337	#95×C₈₉	C₂³	1	1	yes	characteristic
338	#95×C₈₉	C₂³	1	1	yes	characteristic
339	#95×C₈₉	C₂³	1	1	yes	characteristic
340	#95×C₈₉	C₂³	1	1	yes	characteristic
341	#95×C₈₉	C₂³	1	1	yes	characteristic
342	#95×C₈₉	C₂³	1	1	yes	characteristic
343	#95×C₈₉	C₂³	1	1	yes	characteristic
344	#95×C₈₉	C₂³	1	1	yes	characteristic
345	#95×C₈₉	C₂³	1	1	yes	characteristic
346	#95×C₈₉	C₂³	1	1	yes	characteristic
347	#95×C₈₉	C₂³	1	1	yes	characteristic
348	#95×C₈₉	C₂³	1	1	yes	characteristic
349	#95×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#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	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
367	C₂×Q₈×C₈₉	—	4	1	no	—
368	C₂×Q₈×C₈₉	—	4	1	no	—
369	C₂×Q₈×C₈₉	—	4	1	no	—
370	C₂×Q₈×C₈₉	—	4	1	no	—
371	C₂×Q₈×C₈₉	—	4	1	no	—
372	C₂×Q₈×C₈₉	—	4	1	no	—
373	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
374	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
375	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
376	C₂×D₄×C₈₉	—	4	1	no	—
377	C₂×D₄×C₈₉	—	4	1	no	—
378	C₂×D₄×C₈₉	—	4	1	no	—
379	C₂×D₄×C₈₉	—	4	1	no	—
380	C₂×D₄×C₈₉	—	4	1	no	—
381	C₂×D₄×C₈₉	—	4	1	no	—
382	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
383	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
384	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
385	C₂²×C₄×C₈₉	—	2	2	no	—
386	C₂²×C₄×C₈₉	—	2	2	no	—
387	C₂²×C₄×C₈₉	—	2	2	no	—
388	C₂²×C₄×C₈₉	—	4	1	no	—
389	C₂²×C₄×C₈₉	—	4	1	no	—
390	C₂²×C₄×C₈₉	—	4	1	no	—
391	C₂²×C₄×C₈₉	—	4	1	no	—
392	C₂²×C₄×C₈₉	—	4	1	no	—
393	C₂²×C₄×C₈₉	—	4	1	no	—
394	C₂²×C₄×C₈₉	—	4	1	no	—
395	C₂²×C₄×C₈₉	—	4	1	no	—
396	C₂²×C₄×C₈₉	—	4	1	no	—
397	C₂²×C₄×C₈₉	—	4	1	no	—
398	C₂²×C₄×C₈₉	—	4	1	no	—
399	C₂²×C₄×C₈₉	—	4	1	no	—
400	C₂²×C₄×C₈₉	—	4	1	no	—
401	C₂²×C₄×C₈₉	—	4	1	no	—
402	C₂²×C₄×C₈₉	—	4	1	no	—
403	C₂²×C₄×C₈₉	—	4	1	no	—
404	C₂²×C₄×C₈₉	—	4	1	no	—
405	C₂²×C₄×C₈₉	—	4	1	no	—
406	C₂²×C₄×C₈₉	—	4	1	no	—
407	C₂²×C₄×C₈₉	—	4	1	no	—
408	C₂²×C₄×C₈₉	—	4	1	no	—
409	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
410	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
411	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
412	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
440	C₄⋊C₄×C₈₉	—	2	2	no	—
441	C₄⋊C₄×C₈₉	—	2	2	no	—
442	C₄⋊C₄×C₈₉	—	2	2	no	—
443	C₄⋊C₄×C₈₉	—	4	1	no	—
444	C₄⋊C₄×C₈₉	—	4	1	no	—
445	C₄⋊C₄×C₈₉	—	4	1	no	—
446	C₄⋊C₄×C₈₉	—	4	1	no	—
447	C₄⋊C₄×C₈₉	—	4	1	no	—
448	C₄⋊C₄×C₈₉	—	4	1	no	—
449	C₄⋊C₄×C₈₉	—	4	1	no	—
450	C₄⋊C₄×C₈₉	—	4	1	no	—
451	C₄⋊C₄×C₈₉	—	4	1	no	—
452	C₄⋊C₄×C₈₉	—	4	1	no	—
453	C₄⋊C₄×C₈₉	—	4	1	no	—
454	C₄⋊C₄×C₈₉	—	4	1	no	—
455	C₄⋊C₄×C₈₉	—	4	1	no	—
456	C₄⋊C₄×C₈₉	—	4	1	no	—
457	C₄⋊C₄×C₈₉	—	4	1	no	—
458	C₄⋊C₄×C₈₉	—	4	1	no	—
459	C₄⋊C₄×C₈₉	—	4	1	no	—
460	C₄⋊C₄×C₈₉	—	4	1	no	—
461	C₄⋊C₄×C₈₉	—	4	1	no	—
462	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
463	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
464	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
465	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
466	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
467	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
468	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
469	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
470	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
471	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
472	C₂²⋊C₄×C₈₉	—	2	2	no	—
473	C₂²⋊C₄×C₈₉	—	2	2	no	—
474	C₂²⋊C₄×C₈₉	—	2	2	no	—
475	C₂²⋊C₄×C₈₉	—	4	1	no	—
476	C₂²⋊C₄×C₈₉	—	4	1	no	—
477	C₂²⋊C₄×C₈₉	—	4	1	no	—
478	C₂²⋊C₄×C₈₉	—	4	1	no	—
479	C₂²⋊C₄×C₈₉	—	4	1	no	—
480	C₂²⋊C₄×C₈₉	—	4	1	no	—
481	C₂²⋊C₄×C₈₉	—	4	1	no	—
482	C₂²⋊C₄×C₈₉	—	4	1	no	—
483	C₂²⋊C₄×C₈₉	—	4	1	no	—
484	C₂²⋊C₄×C₈₉	—	4	1	no	—
485	C₂²⋊C₄×C₈₉	—	4	1	no	—
486	C₂²⋊C₄×C₈₉	—	4	1	no	—
487	C₂²⋊C₄×C₈₉	—	4	1	no	—
488	C₂²⋊C₄×C₈₉	—	4	1	no	—
489	C₂²⋊C₄×C₈₉	—	4	1	no	—
490	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
491	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
492	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
493	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
494	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
495	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
496	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
497	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
498	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
499	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
504	C₄²×C₈₉	—	2	2	no	—
505	C₄²×C₈₉	—	2	2	no	—
506	C₄²×C₈₉	—	2	2	no	—
507	C₄²×C₈₉	—	4	1	no	—
508	C₄²×C₈₉	—	4	1	no	—
509	C₄²×C₈₉	—	4	1	no	—
510	C₄²×C₈₉	—	4	1	no	—
511	C₄²×C₈₉	—	4	1	no	—
512	C₄²×C₈₉	—	4	1	no	—
513	C₄²×C₈₉	—	4	1	no	—
514	C₄²×C₈₉	—	4	1	no	—
515	C₄²×C₈₉	—	4	1	no	—
516	C₄²×C₈₉	—	4	1	no	—
517	C₄²×C₈₉	—	4	1	no	—
518	C₄²×C₈₉	—	4	1	no	—
519	C₄²×C₈₉	—	4	1	no	—
520	C₄²×C₈₉	—	4	1	no	—
521	C₄²×C₈₉	—	4	1	no	—
522	C₄²×C₈₉	—	4	1	no	—
523	C₄²×C₈₉	—	4	1	no	—
524	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
525	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
526	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
527	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
528	C₂³×C₈₉	—	2	1	no	—
529	C₂³×C₈₉	—	2	1	no	—
530	C₂³×C₈₉	—	2	1	no	—
531	C₂³×C₈₉	—	2	1	no	—
532	C₂³×C₈₉	—	2	1	no	—
533	C₂³×C₈₉	—	2	1	no	—
534	C₂³×C₈₉	—	2	1	no	—
535	C₂³×C₈₉	—	2	1	no	—
536	C₂³×C₈₉	—	2	1	no	—
537	C₂³×C₈₉	—	2	1	no	—
538	C₂³×C₈₉	—	2	1	no	—
539	C₂³×C₈₉	—	2	1	no	—
540	C₂³×C₈₉	—	2	1	no	—
541	C₂³×C₈₉	—	2	1	no	—
542	C₂³×C₈₉	—	2	1	no	—
543	C₂³×C₈₉	—	2	1	no	—
544	C₂³×C₈₉	—	2	1	no	—
545	C₂³×C₈₉	—	2	1	no	—
546	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
547	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
548	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
549	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
550	Q₈×C₈₉	—	4	4	no	—
551	Q₈×C₈₉	—	4	4	no	—
552	Q₈×C₈₉	—	4	4	no	—
553	D₄×C₈₉	—	4	4	no	—
554	D₄×C₈₉	—	4	4	no	—
555	D₄×C₈₉	—	4	4	no	—
556	C₂×C₄×C₈₉	—	2	1	no	—
557	C₂×C₄×C₈₉	—	2	1	no	—
558	C₂×C₄×C₈₉	—	2	1	no	—
559	C₂×C₄×C₈₉	—	2	1	no	—
560	C₂×C₄×C₈₉	—	2	1	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	—	2	1	no	—
567	C₂×C₄×C₈₉	—	2	1	no	—
568	C₂×C₄×C₈₉	—	2	1	no	—
569	C₂×C₄×C₈₉	—	2	1	no	—
570	C₂×C₄×C₈₉	—	2	1	no	—
571	C₂×C₄×C₈₉	—	2	1	no	—
572	C₂×C₄×C₈₉	—	2	1	no	—
573	C₂×C₄×C₈₉	—	2	1	no	—
574	C₂×C₄×C₈₉	—	2	1	no	—
575	C₂×C₄×C₈₉	—	2	1	no	—
576	C₂×C₄×C₈₉	—	2	1	no	—
577	C₂×C₄×C₈₉	—	2	1	no	—
578	C₂×C₄×C₈₉	—	2	1	no	—
579	C₂×C₄×C₈₉	—	2	1	no	—
580	C₂×C₄×C₈₉	—	2	1	no	—
581	C₂×C₄×C₈₉	—	2	1	no	—
582	C₂×C₄×C₈₉	—	2	1	no	—
583	C₂×C₄×C₈₉	—	2	1	no	—
584	C₂×C₄×C₈₉	—	2	1	no	—
585	C₂×C₄×C₈₉	—	2	1	no	—
586	C₂×C₄×C₈₉	—	2	1	no	—
587	C₂×C₄×C₈₉	—	2	1	no	—
588	C₂×C₄×C₈₉	—	2	1	no	—
589	C₂×C₄×C₈₉	—	2	1	no	—
590	C₂×C₄×C₈₉	—	2	1	no	—
591	C₂×C₄×C₈₉	—	2	1	no	—
592	C₂×C₄×C₈₉	—	2	1	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	2	1	no	—
596	C₂×C₄×C₈₉	—	2	1	no	—
597	C₂×C₄×C₈₉	—	2	1	no	—
598	C₂×C₄×C₈₉	—	2	1	no	—
599	C₂×C₄×C₈₉	—	2	1	no	—
600	C₂×C₄×C₈₉	—	2	1	no	—
601	C₂×C₄×C₈₉	—	2	1	no	—
602	C₂×C₄×C₈₉	—	2	1	no	—
603	C₂×C₄×C₈₉	—	2	1	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	2	1	no	—
612	C₂×C₄×C₈₉	—	2	1	no	—
613	C₂×C₄×C₈₉	—	2	1	no	—
614	C₂×C₄×C₈₉	—	2	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	4	4	no	—
627	C₂×C₄×C₈₉	—	4	4	no	—
628	C₂×C₄×C₈₉	—	4	4	no	—
629	C₂×C₄×C₈₉	—	4	4	no	—
630	C₂×C₄×C₈₉	—	4	4	no	—
631	C₂×C₄×C₈₉	—	8	2	no	—
632	C₂×C₄×C₈₉	—	8	2	no	—
633	C₂×C₄×C₈₉	—	8	2	no	—
634	C₂×C₄×C₈₉	—	8	2	no	—
635	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
636	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
637	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
639	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
640	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
642	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
643	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
644	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
645	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
646	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
647	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
648	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
649	C₂²×C₈₉	—	2	2	no	—
650	C₂²×C₈₉	—	2	2	no	—
651	C₂²×C₈₉	—	2	2	no	—
652	C₂²×C₈₉	—	2	2	no	—
653	C₂²×C₈₉	—	2	2	no	—
654	C₂²×C₈₉	—	2	2	no	—
655	C₂²×C₈₉	—	2	2	no	—
656	C₂²×C₈₉	—	2	2	no	—
657	C₂²×C₈₉	—	2	2	no	—
658	C₂²×C₈₉	—	4	1	no	—
659	C₂²×C₈₉	—	4	1	no	—
660	C₂²×C₈₉	—	4	1	no	—
661	C₂²×C₈₉	—	4	1	no	—
662	C₂²×C₈₉	—	4	1	no	—
663	C₂²×C₈₉	—	4	1	no	—
664	C₂²×C₈₉	—	4	1	no	—
665	C₂²×C₈₉	—	4	1	no	—
666	C₂²×C₈₉	—	4	1	no	—
667	C₂²×C₈₉	—	4	1	no	—
668	C₂²×C₈₉	—	4	1	no	—
669	C₂²×C₈₉	—	4	1	no	—
670	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
671	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
673	C₂²×C₈₉	#585	1	1	yes	characteristic
674	C₂²×C₈₉	#585	1	1	yes	characteristic
675	C₂²×C₈₉	#585	1	1	yes	characteristic
676	C₂²×C₈₉	#585	1	1	yes	characteristic
677	C₄×C₈₉	—	2	2	no	—
678	C₄×C₈₉	—	2	2	no	—
679	C₄×C₈₉	—	2	2	no	—
680	C₄×C₈₉	—	2	2	no	—
681	C₄×C₈₉	—	2	2	no	—
682	C₄×C₈₉	—	2	2	no	—
683	C₄×C₈₉	—	2	2	no	—
684	C₄×C₈₉	—	2	2	no	—
685	C₄×C₈₉	—	2	2	no	—
686	C₄×C₈₉	—	2	2	no	—
687	C₄×C₈₉	—	2	2	no	—
688	C₄×C₈₉	—	2	2	no	—
689	C₄×C₈₉	—	2	2	no	—
690	C₄×C₈₉	—	2	2	no	—
691	C₄×C₈₉	—	4	1	no	—
692	C₄×C₈₉	—	4	1	no	—
693	C₄×C₈₉	—	4	1	no	—
694	C₄×C₈₉	—	4	1	no	—
695	C₄×C₈₉	—	4	1	no	—
696	C₄×C₈₉	—	4	1	no	—
697	C₄×C₈₉	—	4	1	no	—
698	C₄×C₈₉	—	4	1	no	—
699	C₄×C₈₉	—	4	1	no	—
700	C₄×C₈₉	—	4	1	no	—
701	C₄×C₈₉	—	4	1	no	—
702	C₄×C₈₉	—	4	1	no	—
703	C₄×C₈₉	—	4	1	no	—
704	C₄×C₈₉	—	4	1	no	—
705	#34440	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
706	C₂×C₈₉	—	4	2	no	—
707	C₂×C₈₉	—	4	2	no	—
708	C₂×C₈₉	—	4	2	no	—
709	C₂×C₈₉	#3428	1	1	yes	characteristic
710	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
711	C₂×C₈₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
712	C₂×C₈₉	#3535	1	1	yes	characteristic
713	C₂×C₈₉	#3540	1	1	yes	characteristic
714	C₂×C₈₉	#3565	1	1	yes	characteristic
715	C₂×C₈₉	#3566	1	1	yes	characteristic
716	C₂×#542	C₂×C₈₉	1	1	yes	characteristic
717	#2383	C₂×C₈₉	1	1	yes	characteristic, complemented
718	#2379	C₂×C₈₉	1	1	yes	characteristic, complemented
719	#2379	C₂×C₈₉	1	1	yes	characteristic, complemented
720	#2377	C₂×C₈₉	1	1	yes	characteristic
721	#2374	C₂×C₈₉	1	1	yes	characteristic, complemented
722	#2373	C₂×C₈₉	1	1	yes	characteristic, complemented
723	#2372	C₂×C₈₉	1	1	yes	characteristic, complemented
724	#2368	C₂×C₈₉	1	1	yes	characteristic, complemented
725	#2367	C₂×C₈₉	1	1	yes	characteristic, complemented
726	#2364	C₂×C₈₉	1	1	yes	characteristic
727	#2362	C₂×C₈₉	1	1	yes	characteristic, complemented
728	#2359	C₂×C₈₉	1	1	yes	characteristic, complemented
729	#2356	C₂×C₈₉	1	1	yes	characteristic, complemented
730	#2355	C₂×C₈₉	1	1	yes	characteristic, complemented
731	#2346	C₂×C₈₉	1	1	yes	characteristic, complemented
732	#2343	C₂×C₈₉	1	1	yes	characteristic, complemented
733	#2337	C₂×C₈₉	1	1	yes	characteristic, complemented
734	#2335	C₂×C₈₉	1	1	yes	characteristic, complemented
735	#2334	C₂×C₈₉	1	1	yes	characteristic, complemented
736	#2334	C₂×C₈₉	1	1	yes	characteristic, complemented
737	#2332	C₂×C₈₉	1	1	yes	characteristic, complemented
738	#2332	C₂×C₈₉	1	1	yes	characteristic, complemented
739	#2331	C₂×C₈₉	1	1	yes	characteristic, complemented
740	#2329	C₂×C₈₉	1	1	yes	characteristic, complemented
741	#2327	C₂×C₈₉	1	1	yes	characteristic, complemented
742	#2326	C₂×C₈₉	1	1	yes	characteristic, complemented
743	#2318	C₂×C₈₉	1	1	yes	characteristic, complemented
744	C₄×C₂²⋊Q₈	C₂×C₈₉	1	1	yes	characteristic, complemented
745	C₄×#123	C₂×C₈₉	1	1	yes	characteristic, complemented
746	#2290	C₂×C₈₉	1	1	yes	characteristic, complemented
747	C₈₉	#34440	1	1	yes	characteristic, direct product factor, Sylow
748	#542	C₄×C₈₉	1	16	yes	complemented
749	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
750	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
751	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
752	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
753	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
754	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
755	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
756	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
757	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
758	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
759	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
760	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
761	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
762	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
763	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
764	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
765	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
766	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
767	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
768	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
769	C₂²×C₄²	C₂²×C₈₉	1	1	yes	characteristic
770	#391	C₂²×C₈₉	1	1	yes	characteristic
771	#391	C₂²×C₈₉	1	1	yes	characteristic
772	#391	C₂²×C₈₉	1	1	yes	characteristic
773	#391	C₂²×C₈₉	1	1	yes	characteristic
774	#391	C₂²×C₈₉	1	1	yes	characteristic
775	#391	C₂²×C₈₉	1	1	yes	characteristic
776	#391	C₂²×C₈₉	1	1	yes	characteristic
777	#391	C₂²×C₈₉	1	1	yes	characteristic
778	#391	C₂²×C₈₉	1	1	yes	characteristic
779	#391	C₂²×C₈₉	1	1	yes	characteristic
780	#390	C₂²×C₈₉	1	1	yes	characteristic
781	#390	C₂²×C₈₉	1	1	yes	characteristic
782	#389	C₂²×C₈₉	1	1	yes	characteristic
783	#389	C₂²×C₈₉	1	1	yes	characteristic
784	#389	C₂²×C₈₉	1	1	yes	characteristic
785	#389	C₂²×C₈₉	1	1	yes	characteristic
786	#389	C₂²×C₈₉	1	1	yes	characteristic
787	#389	C₂²×C₈₉	1	1	yes	characteristic
788	#388	C₂²×C₈₉	1	1	yes	characteristic
789	#388	C₂²×C₈₉	1	1	yes	characteristic
790	#388	C₂²×C₈₉	1	1	yes	characteristic
791	#388	C₂²×C₈₉	1	1	yes	characteristic
792	#388	C₂²×C₈₉	1	1	yes	characteristic
793	#388	C₂²×C₈₉	1	1	yes	characteristic
794	#388	C₂²×C₈₉	1	1	yes	characteristic
795	#388	C₂²×C₈₉	1	1	yes	characteristic
796	#388	C₂²×C₈₉	1	1	yes	characteristic
797	#388	C₂²×C₈₉	1	1	yes	characteristic
798	#388	C₂²×C₈₉	1	1	yes	characteristic
799	#388	C₂²×C₈₉	1	1	yes	characteristic
800	#388	C₂²×C₈₉	1	1	yes	characteristic
801	#388	C₂²×C₈₉	1	1	yes	characteristic
802	#388	C₂²×C₈₉	1	1	yes	characteristic
803	#388	C₂²×C₈₉	1	1	yes	characteristic
804	#388	C₂²×C₈₉	1	1	yes	characteristic
805	#388	C₂²×C₈₉	1	1	yes	characteristic
806	#388	C₂²×C₈₉	1	1	yes	characteristic
807	#388	C₂²×C₈₉	1	1	yes	characteristic
808	#388	C₂²×C₈₉	1	1	yes	characteristic
809	#388	C₂²×C₈₉	1	1	yes	characteristic
810	#388	C₂²×C₈₉	1	1	yes	characteristic
811	#388	C₂²×C₈₉	1	1	yes	characteristic
812	#387	C₂²×C₈₉	1	1	yes	characteristic
813	#387	C₂²×C₈₉	1	1	yes	characteristic
814	#387	C₂²×C₈₉	1	1	yes	characteristic
815	#387	C₂²×C₈₉	1	1	yes	characteristic
816	#387	C₂²×C₈₉	1	1	yes	characteristic
817	#387	C₂²×C₈₉	1	1	yes	characteristic
818	#387	C₂²×C₈₉	1	1	yes	characteristic
819	#387	C₂²×C₈₉	1	1	yes	characteristic
820	#387	C₂²×C₈₉	1	1	yes	characteristic
821	#387	C₂²×C₈₉	1	1	yes	characteristic
822	#387	C₂²×C₈₉	1	1	yes	characteristic
823	#387	C₂²×C₈₉	1	1	yes	characteristic
824	#387	C₂²×C₈₉	1	1	yes	characteristic
825	#387	C₂²×C₈₉	1	1	yes	characteristic
826	#387	C₂²×C₈₉	1	1	yes	characteristic
827	#387	C₂²×C₈₉	1	1	yes	characteristic
828	#387	C₂²×C₈₉	1	1	yes	characteristic
829	#387	C₂²×C₈₉	1	1	yes	characteristic
830	#387	C₂²×C₈₉	1	1	yes	characteristic
831	#387	C₂²×C₈₉	1	1	yes	characteristic
832	#387	C₂²×C₈₉	1	1	yes	characteristic
833	#387	C₂²×C₈₉	1	1	yes	characteristic
834	#387	C₂²×C₈₉	1	1	yes	characteristic
835	#387	C₂²×C₈₉	1	1	yes	characteristic
836	#386	C₂²×C₈₉	1	1	yes	characteristic
837	#386	C₂²×C₈₉	1	1	yes	characteristic
838	#386	C₂²×C₈₉	1	1	yes	characteristic
839	#386	C₂²×C₈₉	1	1	yes	characteristic
840	#386	C₂²×C₈₉	1	1	yes	characteristic
841	#386	C₂²×C₈₉	1	1	yes	characteristic
842	#386	C₂²×C₈₉	1	1	yes	characteristic
843	#386	C₂²×C₈₉	1	1	yes	characteristic
844	#385	C₂²×C₈₉	1	1	yes	characteristic
845	#385	C₂²×C₈₉	1	1	yes	characteristic
846	#385	C₂²×C₈₉	1	1	yes	characteristic
847	#385	C₂²×C₈₉	1	1	yes	characteristic
848	#385	C₂²×C₈₉	1	1	yes	characteristic
849	#385	C₂²×C₈₉	1	1	yes	characteristic
850	#385	C₂²×C₈₉	1	1	yes	characteristic
851	#385	C₂²×C₈₉	1	1	yes	characteristic
852	#385	C₂²×C₈₉	1	1	yes	characteristic
853	#385	C₂²×C₈₉	1	1	yes	characteristic
854	#385	C₂²×C₈₉	1	1	yes	characteristic
855	#385	C₂²×C₈₉	1	1	yes	characteristic
856	#385	C₂²×C₈₉	1	1	yes	characteristic
857	#385	C₂²×C₈₉	1	1	yes	characteristic
858	#384	C₂²×C₈₉	1	1	yes	characteristic
859	#383	C₂²×C₈₉	1	1	yes	characteristic
860	#383	C₂²×C₈₉	1	1	yes	characteristic
861	#382	C₂²×C₈₉	1	1	yes	characteristic
862	#382	C₂²×C₈₉	1	1	yes	characteristic
863	#382	C₂²×C₈₉	1	1	yes	characteristic
864	#382	C₂²×C₈₉	1	1	yes	characteristic
865	#382	C₂²×C₈₉	1	1	yes	characteristic
866	#381	C₂²×C₈₉	1	1	yes	characteristic
867	#381	C₂²×C₈₉	1	1	yes	characteristic
868	#380	C₂²×C₈₉	1	1	yes	characteristic
869	#380	C₂²×C₈₉	1	1	yes	characteristic
870	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
871	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
872	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
873	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
874	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
875	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
876	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
877	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
878	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
879	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
880	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
881	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
882	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
883	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
885	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
888	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
889	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
890	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
891	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
892	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
893	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
894	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
895	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
896	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
897	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
898	#376	C₂²×C₈₉	1	1	yes	characteristic
899	#376	C₂²×C₈₉	1	1	yes	characteristic
900	#376	C₂²×C₈₉	1	1	yes	characteristic
901	#376	C₂²×C₈₉	1	1	yes	characteristic
902	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
903	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
904	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
905	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
906	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
907	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
908	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
909	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
912	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
913	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
914	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
915	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
916	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
917	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
918	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
919	C₄⋊Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
920	#126	C₂×C₄×C₈₉	1	8	yes	complemented
921	#126	C₂×C₄×C₈₉	1	8	yes	complemented
922	#124	C₂×C₄×C₈₉	1	8	yes	complemented
923	#124	C₂×C₄×C₈₉	1	8	yes	complemented
924	#124	C₂×C₄×C₈₉	1	8	yes	complemented
925	#123	C₂×C₄×C₈₉	1	8	yes	complemented
926	#123	C₂×C₄×C₈₉	1	8	yes	complemented
927	C₂²⋊Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
928	C₂²⋊Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
929	C₂²⋊Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
930	#121	C₂×C₄×C₈₉	1	8	yes	—
931	C₄×Q₈	—	4	2	no	—
932	C₄×Q₈	—	4	2	no	—
933	C₄×Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
934	C₄×D₄	—	4	2	no	—
935	C₄×D₄	—	4	2	no	—
936	C₄×D₄	C₂×C₄×C₈₉	1	8	yes	complemented
937	#117	—	4	2	no	—
938	#117	C₂×C₄×C₈₉	1	8	yes	complemented
939	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1001	C₂×C₄²	—	4	2	no	—
1002	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1003	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1004	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1007	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1008	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1009	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1010	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1011	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1012	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1013	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1014	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1015	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1016	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1017	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1018	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1021	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1022	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1023	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1024	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1025	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1026	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1027	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1028	#95	C₂³×C₈₉	1	1	yes	characteristic
1029	#95	C₂³×C₈₉	1	1	yes	characteristic
1030	#95	C₂³×C₈₉	1	1	yes	characteristic
1031	#95	C₂³×C₈₉	1	1	yes	characteristic
1032	#95	C₂³×C₈₉	1	1	yes	characteristic
1033	#95	C₂³×C₈₉	1	1	yes	characteristic
1034	#95	C₂³×C₈₉	1	1	yes	characteristic
1035	#95	C₂³×C₈₉	1	1	yes	characteristic
1036	#95	C₂³×C₈₉	1	1	yes	characteristic
1037	#95	C₂³×C₈₉	1	1	yes	characteristic
1038	#95	C₂³×C₈₉	1	1	yes	characteristic
1039	#95	C₂³×C₈₉	1	1	yes	characteristic
1040	#95	C₂³×C₈₉	1	1	yes	characteristic
1041	#95	C₂³×C₈₉	1	1	yes	characteristic
1042	#95	C₂³×C₈₉	1	1	yes	characteristic
1043	#95	C₂³×C₈₉	1	1	yes	characteristic
1044	#95	C₂³×C₈₉	1	1	yes	characteristic
1045	#95	C₂³×C₈₉	1	1	yes	characteristic
1046	#95	C₂³×C₈₉	1	1	yes	characteristic
1047	#95	C₂³×C₈₉	1	1	yes	characteristic
1048	#95	C₂³×C₈₉	1	1	yes	characteristic
1049	#95	C₂³×C₈₉	1	1	yes	characteristic
1050	#95	C₂³×C₈₉	1	1	yes	characteristic
1051	#95	C₂³×C₈₉	1	1	yes	characteristic
1052	#95	C₂³×C₈₉	1	1	yes	characteristic
1053	#95	C₂³×C₈₉	1	1	yes	characteristic
1054	#95	C₂³×C₈₉	1	1	yes	characteristic
1055	#95	C₂³×C₈₉	1	1	yes	characteristic
1056	#95	C₂³×C₈₉	1	1	yes	characteristic
1057	#95	C₂³×C₈₉	1	1	yes	characteristic
1058	#95	C₂³×C₈₉	1	1	yes	characteristic
1059	#95	C₂³×C₈₉	1	1	yes	characteristic
1060	#95	C₂³×C₈₉	1	1	yes	characteristic
1061	#95	C₂³×C₈₉	1	1	yes	characteristic
1062	#95	C₂³×C₈₉	1	1	yes	characteristic
1063	#95	C₂³×C₈₉	1	1	yes	characteristic
1064	#95	C₂³×C₈₉	1	1	yes	characteristic
1065	#95	C₂³×C₈₉	1	1	yes	characteristic
1066	#95	C₂³×C₈₉	1	1	yes	characteristic
1067	#95	C₂³×C₈₉	1	1	yes	characteristic
1068	#95	C₂³×C₈₉	1	1	yes	characteristic
1069	#95	C₂³×C₈₉	1	1	yes	characteristic
1070	#95	C₂³×C₈₉	1	1	yes	characteristic
1071	#95	C₂³×C₈₉	1	1	yes	characteristic
1072	#95	C₂³×C₈₉	1	1	yes	characteristic
1073	#95	C₂³×C₈₉	1	1	yes	characteristic
1074	#95	C₂³×C₈₉	1	1	yes	characteristic
1075	#95	C₂³×C₈₉	1	1	yes	characteristic
1076	#95	C₂³×C₈₉	1	1	yes	characteristic
1077	#95	C₂³×C₈₉	1	1	yes	characteristic
1078	#95	C₂³×C₈₉	1	1	yes	characteristic
1079	#95	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1081	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1082	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	1	no	—
1085	C₂×Q₈	—	4	1	no	—
1086	C₂×Q₈	—	4	1	no	—
1087	C₂×Q₈	—	4	1	no	—
1088	C₂×Q₈	—	4	1	no	—
1089	C₂×Q₈	C₂²×C₄×C₈₉	1	4	yes	—
1090	C₂×Q₈	C₂²×C₄×C₈₉	1	4	yes	—
1091	C₂×Q₈	C₂²×C₄×C₈₉	1	4	yes	—
1092	C₂×D₄	—	4	1	no	—
1093	C₂×D₄	—	4	1	no	—
1094	C₂×D₄	—	4	1	no	—
1095	C₂×D₄	—	4	1	no	—
1096	C₂×D₄	—	4	1	no	—
1097	C₂×D₄	—	4	1	no	—
1098	C₂×D₄	C₂²×C₄×C₈₉	1	4	yes	—
1099	C₂×D₄	C₂²×C₄×C₈₉	1	4	yes	—
1100	C₂×D₄	C₂²×C₄×C₈₉	1	4	yes	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	2	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	1	no	—
1110	C₂²×C₄	—	4	1	no	—
1111	C₂²×C₄	—	4	1	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	—	4	1	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	4	1	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1126	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1127	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1128	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1133	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1179	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1180	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1181	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1182	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1183	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1184	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1185	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1186	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1187	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1207	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1208	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1209	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1210	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1211	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1212	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1213	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1214	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1215	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1216	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1217	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1218	C₄²	—	2	2	no	—
1219	C₄²	—	2	2	no	—
1220	C₄²	—	2	2	no	—
1221	C₄²	—	2	2	no	—
1222	C₄²	—	2	2	no	—
1223	C₄²	—	4	1	no	—
1224	C₄²	—	4	1	no	—
1225	C₄²	—	4	1	no	—
1226	C₄²	—	4	1	no	—
1227	C₄²	—	4	1	no	—
1228	C₄²	—	4	1	no	—
1229	C₄²	—	4	1	no	—
1230	C₄²	—	4	1	no	—
1231	C₄²	—	4	1	no	—
1232	C₄²	—	4	1	no	—
1233	C₄²	—	4	1	no	—
1234	C₄²	—	4	1	no	—
1235	C₄²	—	4	1	no	—
1236	C₄²	—	4	1	no	—
1237	C₄²	—	4	1	no	—
1238	C₄²	—	4	1	no	—
1239	C₄²	—	4	1	no	—
1240	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1241	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1242	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1243	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	C₂³×C₄×C₈₉	1	2	yes	—
1263	C₂³	C₂³×C₄×C₈₉	1	2	yes	—
1264	C₂³	C₂³×C₄×C₈₉	1	2	yes	—
1265	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1266	Q₈	—	4	4	no	—
1267	Q₈	—	4	4	no	—
1268	Q₈	—	4	4	no	—
1269	D₄	—	4	4	no	—
1270	D₄	—	4	4	no	—
1271	D₄	—	4	4	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	4	4	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	4	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	8	2	no	—
1348	C₂×C₄	—	8	2	no	—
1349	C₂×C₄	—	8	2	no	—
1350	C₂×C₄	—	8	2	no	—
1351	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1352	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1353	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1354	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1355	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1356	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1357	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1358	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1359	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1360	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1361	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1362	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1363	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
1364	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	2	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	C₂⁴×C₄×C₈₉	1	1	yes	characteristic
1387	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1388	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1389	C₂²	#585×C₈₉	1	1	yes	characteristic
1390	C₂²	#585×C₈₉	1	1	yes	characteristic
1391	C₂²	#585×C₈₉	1	1	yes	characteristic
1392	C₂²	#585×C₈₉	1	1	yes	characteristic
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	2	2	no	—
1402	C₄	—	2	2	no	—
1403	C₄	—	2	2	no	—
1404	C₄	—	2	2	no	—
1405	C₄	—	2	2	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	1	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₂	—	4	2	no	—
1422	C₂	—	4	2	no	—
1423	C₂	—	4	2	no	—
1424	C₂	C₈₉×#3428	1	1	yes	characteristic
1425	C₂	C₄×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1426	C₂	C₄×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1427	C₂	C₈₉×#3535	1	1	yes	characteristic
1428	C₂	C₈₉×#3540	1	1	yes	characteristic
1429	C₂	C₈₉×#3565	1	1	yes	characteristic
1430	C₂	C₈₉×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₈₉
Frattini, cosocle	C₂³	C₂⁵×C₈₉
prime radical	C₂×#121×C₈₉	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₈₉×#2383	C₂	semidirect
3. C₈₉×#2379	C₂	semidirect
4. C₈₉×#2379	C₂	semidirect
6. C₈₉×#2374	C₂	semidirect
7. C₈₉×#2373	C₂	semidirect
8. C₈₉×#2372	C₂	semidirect
9. C₈₉×#2368	C₂	semidirect
10. C₈₉×#2367	C₂	semidirect
12. C₈₉×#2362	C₂	semidirect
13. C₈₉×#2359	C₂	semidirect
14. C₈₉×#2356	C₂	semidirect
15. C₈₉×#2355	C₂	semidirect
16. C₈₉×#2346	C₂	semidirect
17. C₈₉×#2343	C₂	semidirect
18. C₈₉×#2337	C₂	semidirect
19. C₈₉×#2335	C₂	semidirect
20. C₈₉×#2334	C₂	semidirect
21. C₈₉×#2334	C₂	semidirect
22. C₈₉×#2332	C₂	semidirect
23. C₈₉×#2332	C₂	semidirect
24. C₈₉×#2331	C₂	semidirect
25. C₈₉×#2329	C₂	semidirect
26. C₈₉×#2327	C₂	semidirect
27. C₈₉×#2326	C₂	semidirect
28. C₈₉×#2318	C₂	semidirect
29. C₄×C₂²⋊Q₈×C₈₉	C₂	semidirect
30. C₄×#123×C₈₉	C₂	semidirect
31. C₈₉×#2290	C₂	semidirect
32. #542×C₈₉	C₄	semidirect
203. C₄⋊Q₈×C₈₉	C₂×C₄	semidirect
204. #126×C₈₉	C₂×C₄	semidirect
205. #126×C₈₉	C₂×C₄	semidirect
206. #124×C₈₉	C₂×C₄	semidirect
207. #124×C₈₉	C₂×C₄	semidirect
208. #124×C₈₉	C₂×C₄	semidirect
209. #123×C₈₉	C₂×C₄	semidirect
210. #123×C₈₉	C₂×C₄	semidirect
211. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
212. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
213. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
217. C₄×Q₈×C₈₉	C₂×C₄	semidirect
220. C₄×D₄×C₈₉	C₂×C₄	semidirect
222. #117×C₈₉	C₂×C₄	semidirect
705. #34440	C₈₉	direct (N × H)
717. #2383	C₂×C₈₉	semidirect
718. #2379	C₂×C₈₉	semidirect
719. #2379	C₂×C₈₉	semidirect
721. #2374	C₂×C₈₉	semidirect
722. #2373	C₂×C₈₉	semidirect
723. #2372	C₂×C₈₉	semidirect
724. #2368	C₂×C₈₉	semidirect
725. #2367	C₂×C₈₉	semidirect
727. #2362	C₂×C₈₉	semidirect
728. #2359	C₂×C₈₉	semidirect
729. #2356	C₂×C₈₉	semidirect
730. #2355	C₂×C₈₉	semidirect
731. #2346	C₂×C₈₉	semidirect
732. #2343	C₂×C₈₉	semidirect
733. #2337	C₂×C₈₉	semidirect
734. #2335	C₂×C₈₉	semidirect
735. #2334	C₂×C₈₉	semidirect
736. #2334	C₂×C₈₉	semidirect
737. #2332	C₂×C₈₉	semidirect
738. #2332	C₂×C₈₉	semidirect
739. #2331	C₂×C₈₉	semidirect
740. #2329	C₂×C₈₉	semidirect
741. #2327	C₂×C₈₉	semidirect
742. #2326	C₂×C₈₉	semidirect
743. #2318	C₂×C₈₉	semidirect
744. C₄×C₂²⋊Q₈	C₂×C₈₉	semidirect
745. C₄×#123	C₂×C₈₉	semidirect
746. #2290	C₂×C₈₉	semidirect
747. C₈₉	#34440	direct (N × H)
748. #542	C₄×C₈₉	semidirect
919. C₄⋊Q₈	C₂×C₄×C₈₉	semidirect
920. #126	C₂×C₄×C₈₉	semidirect
921. #126	C₂×C₄×C₈₉	semidirect
922. #124	C₂×C₄×C₈₉	semidirect
923. #124	C₂×C₄×C₈₉	semidirect
924. #124	C₂×C₄×C₈₉	semidirect
925. #123	C₂×C₄×C₈₉	semidirect
926. #123	C₂×C₄×C₈₉	semidirect
927. C₂²⋊Q₈	C₂×C₄×C₈₉	semidirect
928. C₂²⋊Q₈	C₂×C₄×C₈₉	semidirect
929. C₂²⋊Q₈	C₂×C₄×C₈₉	semidirect
933. C₄×Q₈	C₂×C₄×C₈₉	semidirect
936. C₄×D₄	C₂×C₄×C₈₉	semidirect
938. #117	C₂×C₄×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#542×C₈₉	2
C₈₉×#2383	2
C₈₉×#2379	2
C₈₉×#2377	2
C₈₉×#2374	2
C₈₉×#2373	2
C₈₉×#2372	2
C₈₉×#2368	2
C₈₉×#2367	2
C₈₉×#2364	2
C₈₉×#2362	2
C₈₉×#2359	2
C₈₉×#2356	2
C₈₉×#2355	2
C₈₉×#2346	2
C₈₉×#2343	2
C₈₉×#2337	2
C₈₉×#2335	2
C₈₉×#2334	2
C₈₉×#2332	2
C₈₉×#2331	2
C₈₉×#2329	2
C₈₉×#2327	2
C₈₉×#2326	2
C₈₉×#2318	2
C₄×C₂²⋊Q₈×C₈₉	2
C₄×#123×C₈₉	2
C₈₉×#2290	2
#34440	89

Subgroups — C89×#34440 #36412288

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#34440 #36412288