Subgroups — C₈₉×#34507 #36412355

Order 22784.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552×C₈₉	C₂	1	1	yes	maximal, characteristic
2	C₈₉×#2382	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2378	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2378	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2376	C₂	1	1	yes	maximal, characteristic
6	C₈₉×#2374	C₂	1	1	yes	maximal, characteristic
7	C₈₉×#2373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2373	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2371	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2370	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2356	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#2353	C₂	1	1	yes	maximal, characteristic
13	C₈₉×#2347	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2346	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2345	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2335	C₂	1	1	yes	maximal, characteristic
20	C₈₉×#2335	C₂	1	1	yes	maximal, characteristic
21	C₈₉×#2334	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2332	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2330	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#2329	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2319	C₂	1	1	yes	maximal, characteristic
26	C₈₉×#2314	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2314	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#2313	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#126×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈₉×#2298	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2295	C₂	1	1	yes	maximal, characteristic, complemented
32	#552×C₈₉	C₄	1	16	yes	complemented
33	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
34	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
35	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
36	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
38	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
39	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
44	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
45	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
46	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
47	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
48	#391×C₈₉	C₂²	1	1	yes	characteristic
49	#391×C₈₉	C₂²	1	1	yes	characteristic
50	#391×C₈₉	C₂²	1	1	yes	characteristic
51	#391×C₈₉	C₂²	1	1	yes	characteristic
52	#390×C₈₉	C₂²	1	1	yes	characteristic
53	#390×C₈₉	C₂²	1	1	yes	characteristic
54	#389×C₈₉	C₂²	1	1	yes	characteristic
55	#389×C₈₉	C₂²	1	1	yes	characteristic
56	#389×C₈₉	C₂²	1	1	yes	characteristic
57	#389×C₈₉	C₂²	1	1	yes	characteristic
58	#389×C₈₉	C₂²	1	1	yes	characteristic
59	#389×C₈₉	C₂²	1	1	yes	characteristic
60	#389×C₈₉	C₂²	1	1	yes	characteristic
61	#389×C₈₉	C₂²	1	1	yes	characteristic
62	#389×C₈₉	C₂²	1	1	yes	characteristic
63	#389×C₈₉	C₂²	1	1	yes	characteristic
64	#389×C₈₉	C₂²	1	1	yes	characteristic
65	#389×C₈₉	C₂²	1	1	yes	characteristic
66	#389×C₈₉	C₂²	1	1	yes	characteristic
67	#389×C₈₉	C₂²	1	1	yes	characteristic
68	#388×C₈₉	C₂²	1	1	yes	characteristic
69	#388×C₈₉	C₂²	1	1	yes	characteristic
70	#388×C₈₉	C₂²	1	1	yes	characteristic
71	#388×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	#387×C₈₉	C₂²	1	1	yes	characteristic
91	#387×C₈₉	C₂²	1	1	yes	characteristic
92	#387×C₈₉	C₂²	1	1	yes	characteristic
93	#387×C₈₉	C₂²	1	1	yes	characteristic
94	#387×C₈₉	C₂²	1	1	yes	characteristic
95	#387×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	#387×C₈₉	C₂²	1	1	yes	characteristic
121	#387×C₈₉	C₂²	1	1	yes	characteristic
122	#387×C₈₉	C₂²	1	1	yes	characteristic
123	#387×C₈₉	C₂²	1	1	yes	characteristic
124	#387×C₈₉	C₂²	1	1	yes	characteristic
125	#387×C₈₉	C₂²	1	1	yes	characteristic
126	#387×C₈₉	C₂²	1	1	yes	characteristic
127	#387×C₈₉	C₂²	1	1	yes	characteristic
128	#386×C₈₉	C₂²	1	1	yes	characteristic
129	#386×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	#384×C₈₉	C₂²	1	1	yes	characteristic
135	#383×C₈₉	C₂²	1	1	yes	characteristic
136	#383×C₈₉	C₂²	1	1	yes	characteristic
137	#383×C₈₉	C₂²	1	1	yes	characteristic
138	#382×C₈₉	C₂²	1	1	yes	characteristic
139	#382×C₈₉	C₂²	1	1	yes	characteristic
140	#382×C₈₉	C₂²	1	1	yes	characteristic
141	#381×C₈₉	C₂²	1	1	yes	characteristic
142	#381×C₈₉	C₂²	1	1	yes	characteristic
143	#381×C₈₉	C₂²	1	1	yes	characteristic
144	#380×C₈₉	C₂²	1	1	yes	characteristic
145	#380×C₈₉	C₂²	1	1	yes	characteristic
146	#380×C₈₉	C₂²	1	1	yes	characteristic
147	#380×C₈₉	C₂²	1	1	yes	characteristic
148	#380×C₈₉	C₂²	1	1	yes	characteristic
149	#380×C₈₉	C₂²	1	1	yes	characteristic
150	#380×C₈₉	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
153	C₄×C₄⋊C₄×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×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊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	#376×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	C₄³×C₈₉	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
193	C₂³×C₄×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	#126×C₈₉	C₂×C₄	1	8	yes	—
197	#126×C₈₉	C₂×C₄	1	8	yes	—
198	#125×C₈₉	C₂×C₄	1	8	yes	complemented
199	#125×C₈₉	C₂×C₄	1	8	yes	complemented
200	#125×C₈₉	C₂×C₄	1	8	yes	complemented
201	#123×C₈₉	C₂×C₄	1	8	yes	—
202	#123×C₈₉	C₂×C₄	1	8	yes	—
203	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	—
204	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
205	C₄×Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
206	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	—
207	#117×C₈₉	C₂×C₄	1	8	yes	—
208	#117×C₈₉	C₂×C₄	1	8	yes	complemented
209	#117×C₈₉	C₂×C₄	1	8	yes	complemented
210	C₂×C₄⋊C₄×C₈₉	C₂×C₄	1	8	yes	complemented
211	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
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	#95×C₈₉	C₂³	1	1	yes	characteristic
303	#95×C₈₉	C₂³	1	1	yes	characteristic
304	#95×C₈₉	C₂³	1	1	yes	characteristic
305	#95×C₈₉	C₂³	1	1	yes	characteristic
306	#95×C₈₉	C₂³	1	1	yes	characteristic
307	#95×C₈₉	C₂³	1	1	yes	characteristic
308	#95×C₈₉	C₂³	1	1	yes	characteristic
309	#95×C₈₉	C₂³	1	1	yes	characteristic
310	#95×C₈₉	C₂³	1	1	yes	characteristic
311	#95×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	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₈₉	—	4	1	no	—
361	C₂×Q₈×C₈₉	—	4	1	no	—
362	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	—
363	C₂×D₄×C₈₉	—	4	1	no	—
364	C₂×D₄×C₈₉	—	4	1	no	—
365	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
366	C₂²×C₄×C₈₉	—	2	2	no	—
367	C₂²×C₄×C₈₉	—	4	1	no	—
368	C₂²×C₄×C₈₉	—	4	1	no	—
369	C₂²×C₄×C₈₉	—	4	1	no	—
370	C₂²×C₄×C₈₉	—	4	1	no	—
371	C₂²×C₄×C₈₉	—	4	1	no	—
372	C₂²×C₄×C₈₉	—	4	1	no	—
373	C₂²×C₄×C₈₉	—	4	1	no	—
374	C₂²×C₄×C₈₉	—	4	1	no	—
375	C₂²×C₄×C₈₉	—	4	1	no	—
376	C₂²×C₄×C₈₉	—	4	1	no	—
377	C₂²×C₄×C₈₉	—	4	1	no	—
378	C₂²×C₄×C₈₉	—	4	1	no	—
379	C₂²×C₄×C₈₉	—	4	1	no	—
380	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
381	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
382	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
383	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
384	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₈₉	—	2	2	no	—
414	C₄⋊C₄×C₈₉	—	4	1	no	—
415	C₄⋊C₄×C₈₉	—	4	1	no	—
416	C₄⋊C₄×C₈₉	—	4	1	no	—
417	C₄⋊C₄×C₈₉	—	4	1	no	—
418	C₄⋊C₄×C₈₉	—	4	1	no	—
419	C₄⋊C₄×C₈₉	—	4	1	no	—
420	C₄⋊C₄×C₈₉	—	4	1	no	—
421	C₄⋊C₄×C₈₉	—	4	1	no	—
422	C₄⋊C₄×C₈₉	—	4	1	no	—
423	C₄⋊C₄×C₈₉	—	4	1	no	—
424	C₄⋊C₄×C₈₉	—	4	1	no	—
425	C₄⋊C₄×C₈₉	—	4	1	no	—
426	C₄⋊C₄×C₈₉	—	4	1	no	—
427	C₄⋊C₄×C₈₉	—	4	1	no	—
428	C₄⋊C₄×C₈₉	—	4	1	no	—
429	C₄⋊C₄×C₈₉	—	4	1	no	—
430	C₄⋊C₄×C₈₉	—	4	1	no	—
431	C₄⋊C₄×C₈₉	—	4	1	no	—
432	C₄⋊C₄×C₈₉	—	4	1	no	—
433	C₄⋊C₄×C₈₉	—	4	1	no	—
434	C₄⋊C₄×C₈₉	—	4	1	no	—
435	C₄⋊C₄×C₈₉	—	4	1	no	—
436	C₄⋊C₄×C₈₉	—	4	1	no	—
437	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
438	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
439	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
440	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
441	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
442	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
443	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
444	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
445	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
446	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
447	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
448	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
449	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
450	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
451	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
452	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
453	C₂²⋊C₄×C₈₉	—	2	2	no	—
454	C₂²⋊C₄×C₈₉	—	4	1	no	—
455	C₂²⋊C₄×C₈₉	—	4	1	no	—
456	C₂²⋊C₄×C₈₉	—	4	1	no	—
457	C₂²⋊C₄×C₈₉	—	4	1	no	—
458	C₂²⋊C₄×C₈₉	—	4	1	no	—
459	C₂²⋊C₄×C₈₉	—	4	1	no	—
460	C₂²⋊C₄×C₈₉	—	4	1	no	—
461	C₂²⋊C₄×C₈₉	—	4	1	no	—
462	C₂²⋊C₄×C₈₉	—	4	1	no	—
463	C₂²⋊C₄×C₈₉	—	4	1	no	—
464	C₂²⋊C₄×C₈₉	—	4	1	no	—
465	C₂²⋊C₄×C₈₉	—	4	1	no	—
466	C₂²⋊C₄×C₈₉	—	4	1	no	—
467	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
468	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
469	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
470	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
471	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
472	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
473	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
474	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
475	C₄²×C₈₉	—	2	2	no	—
476	C₄²×C₈₉	—	2	2	no	—
477	C₄²×C₈₉	—	4	1	no	—
478	C₄²×C₈₉	—	4	1	no	—
479	C₄²×C₈₉	—	4	1	no	—
480	C₄²×C₈₉	—	4	1	no	—
481	C₄²×C₈₉	—	4	1	no	—
482	C₄²×C₈₉	—	4	1	no	—
483	C₄²×C₈₉	—	4	1	no	—
484	C₄²×C₈₉	—	4	1	no	—
485	C₄²×C₈₉	—	4	1	no	—
486	C₄²×C₈₉	—	4	1	no	—
487	C₄²×C₈₉	—	4	1	no	—
488	C₄²×C₈₉	—	4	1	no	—
489	C₄²×C₈₉	—	4	1	no	—
490	C₄²×C₈₉	—	4	1	no	—
491	C₄²×C₈₉	—	4	1	no	—
492	C₄²×C₈₉	—	4	1	no	—
493	C₄²×C₈₉	—	4	1	no	—
494	C₄²×C₈₉	—	4	1	no	—
495	C₄²×C₈₉	—	4	1	no	—
496	C₄²×C₈₉	—	4	1	no	—
497	C₄²×C₈₉	—	4	1	no	—
498	C₄²×C₈₉	—	4	1	no	—
499	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
500	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
501	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
502	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
503	C₄²×C₈₉	C₂²×C₄	1	4	yes	—
504	C₂³×C₈₉	—	2	1	no	—
505	C₂³×C₈₉	—	2	1	no	—
506	C₂³×C₈₉	—	2	1	no	—
507	C₂³×C₈₉	—	2	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	—	2	1	no	—
513	C₂³×C₈₉	—	2	1	no	—
514	C₂³×C₈₉	—	2	1	no	—
515	C₂³×C₈₉	—	2	1	no	—
516	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
517	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
518	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
519	Q₈×C₈₉	—	4	4	no	—
520	D₄×C₈₉	—	4	4	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	—	2	1	no	—
553	C₂×C₄×C₈₉	—	2	1	no	—
554	C₂×C₄×C₈₉	—	2	1	no	—
555	C₂×C₄×C₈₉	—	2	1	no	—
556	C₂×C₄×C₈₉	—	2	1	no	—
557	C₂×C₄×C₈₉	—	2	1	no	—
558	C₂×C₄×C₈₉	—	2	1	no	—
559	C₂×C₄×C₈₉	—	2	1	no	—
560	C₂×C₄×C₈₉	—	2	1	no	—
561	C₂×C₄×C₈₉	—	2	1	no	—
562	C₂×C₄×C₈₉	—	2	1	no	—
563	C₂×C₄×C₈₉	—	2	1	no	—
564	C₂×C₄×C₈₉	—	2	1	no	—
565	C₂×C₄×C₈₉	—	2	1	no	—
566	C₂×C₄×C₈₉	—	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	—	4	4	no	—
595	C₂×C₄×C₈₉	—	4	4	no	—
596	C₂×C₄×C₈₉	—	4	4	no	—
597	C₂×C₄×C₈₉	—	4	4	no	—
598	C₂×C₄×C₈₉	—	8	2	no	—
599	C₂×C₄×C₈₉	—	8	2	no	—
600	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
601	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
602	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
603	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
604	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
614	C₂²×C₈₉	—	2	2	no	—
615	C₂²×C₈₉	—	2	2	no	—
616	C₂²×C₈₉	—	2	2	no	—
617	C₂²×C₈₉	—	2	2	no	—
618	C₂²×C₈₉	—	2	2	no	—
619	C₂²×C₈₉	—	2	2	no	—
620	C₂²×C₈₉	—	4	1	no	—
621	C₂²×C₈₉	—	4	1	no	—
622	C₂²×C₈₉	—	4	1	no	—
623	C₂²×C₈₉	—	4	1	no	—
624	C₂²×C₈₉	—	4	1	no	—
625	C₂²×C₈₉	—	4	1	no	—
626	C₂²×C₈₉	—	4	1	no	—
627	C₂²×C₈₉	—	4	1	no	—
628	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
629	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
630	C₂²×C₈₉	#585	1	1	yes	characteristic
631	C₂²×C₈₉	#585	1	1	yes	characteristic
632	C₂²×C₈₉	#585	1	1	yes	characteristic
633	C₂²×C₈₉	#585	1	1	yes	characteristic
634	C₂²×C₈₉	#585	1	1	yes	characteristic
635	C₄×C₈₉	—	2	2	no	—
636	C₄×C₈₉	—	2	2	no	—
637	C₄×C₈₉	—	2	2	no	—
638	C₄×C₈₉	—	2	2	no	—
639	C₄×C₈₉	—	2	2	no	—
640	C₄×C₈₉	—	2	2	no	—
641	C₄×C₈₉	—	2	2	no	—
642	C₄×C₈₉	—	2	2	no	—
643	C₄×C₈₉	—	2	2	no	—
644	C₄×C₈₉	—	2	2	no	—
645	C₄×C₈₉	—	2	2	no	—
646	C₄×C₈₉	—	2	2	no	—
647	C₄×C₈₉	—	2	2	no	—
648	C₄×C₈₉	—	2	2	no	—
649	C₄×C₈₉	—	4	1	no	—
650	C₄×C₈₉	—	4	1	no	—
651	C₄×C₈₉	—	4	1	no	—
652	C₄×C₈₉	—	4	1	no	—
653	C₄×C₈₉	—	4	1	no	—
654	C₄×C₈₉	—	4	1	no	—
655	C₄×C₈₉	—	4	1	no	—
656	C₄×C₈₉	—	4	1	no	—
657	C₄×C₈₉	—	4	1	no	—
658	C₄×C₈₉	—	4	1	no	—
659	C₄×C₈₉	—	4	1	no	—
660	C₄×C₈₉	—	4	1	no	—
661	C₄×C₈₉	—	4	1	no	—
662	C₄×C₈₉	—	4	1	no	—
663	C₄×C₈₉	—	4	1	no	—
664	#34507	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
665	C₂×C₈₉	—	4	2	no	—
666	C₂×C₈₉	—	4	2	no	—
667	C₂×C₈₉	#3428	1	1	yes	characteristic
668	C₂×C₈₉	#3428	1	1	yes	characteristic
669	C₂×C₈₉	C₄×2₋¹⁺⁴	1	1	yes	characteristic
670	C₂×C₈₉	#3564	1	1	yes	characteristic
671	C₂×C₈₉	#3565	1	1	yes	characteristic
672	C₂×C₈₉	#3566	1	1	yes	characteristic
673	C₂×C₈₉	#3567	1	1	yes	characteristic
674	C₂×#552	C₂×C₈₉	1	1	yes	characteristic
675	#2382	C₂×C₈₉	1	1	yes	characteristic, complemented
676	#2378	C₂×C₈₉	1	1	yes	characteristic, complemented
677	#2378	C₂×C₈₉	1	1	yes	characteristic, complemented
678	#2376	C₂×C₈₉	1	1	yes	characteristic
679	#2374	C₂×C₈₉	1	1	yes	characteristic
680	#2373	C₂×C₈₉	1	1	yes	characteristic, complemented
681	#2373	C₂×C₈₉	1	1	yes	characteristic, complemented
682	#2371	C₂×C₈₉	1	1	yes	characteristic, complemented
683	#2370	C₂×C₈₉	1	1	yes	characteristic, complemented
684	#2356	C₂×C₈₉	1	1	yes	characteristic, complemented
685	#2353	C₂×C₈₉	1	1	yes	characteristic
686	#2347	C₂×C₈₉	1	1	yes	characteristic, complemented
687	#2346	C₂×C₈₉	1	1	yes	characteristic, complemented
688	#2345	C₂×C₈₉	1	1	yes	characteristic, complemented
689	#2343	C₂×C₈₉	1	1	yes	characteristic, complemented
690	#2336	C₂×C₈₉	1	1	yes	characteristic, complemented
691	#2336	C₂×C₈₉	1	1	yes	characteristic, complemented
692	#2335	C₂×C₈₉	1	1	yes	characteristic
693	#2335	C₂×C₈₉	1	1	yes	characteristic
694	#2334	C₂×C₈₉	1	1	yes	characteristic, complemented
695	#2332	C₂×C₈₉	1	1	yes	characteristic, complemented
696	#2330	C₂×C₈₉	1	1	yes	characteristic, complemented
697	#2329	C₂×C₈₉	1	1	yes	characteristic, complemented
698	#2319	C₂×C₈₉	1	1	yes	characteristic
699	#2314	C₂×C₈₉	1	1	yes	characteristic, complemented
700	#2314	C₂×C₈₉	1	1	yes	characteristic, complemented
701	#2313	C₂×C₈₉	1	1	yes	characteristic, complemented
702	C₄×#126	C₂×C₈₉	1	1	yes	characteristic, complemented
703	#2298	C₂×C₈₉	1	1	yes	characteristic, complemented
704	#2295	C₂×C₈₉	1	1	yes	characteristic, complemented
705	C₈₉	#34507	1	1	yes	characteristic, direct product factor, Sylow
706	#552	C₄×C₈₉	1	16	yes	complemented
707	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
708	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
709	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
710	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
711	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
712	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
713	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
714	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
715	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
716	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
717	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
718	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
719	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
720	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
721	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
722	#391	C₂²×C₈₉	1	1	yes	characteristic
723	#391	C₂²×C₈₉	1	1	yes	characteristic
724	#391	C₂²×C₈₉	1	1	yes	characteristic
725	#391	C₂²×C₈₉	1	1	yes	characteristic
726	#390	C₂²×C₈₉	1	1	yes	characteristic
727	#390	C₂²×C₈₉	1	1	yes	characteristic
728	#389	C₂²×C₈₉	1	1	yes	characteristic
729	#389	C₂²×C₈₉	1	1	yes	characteristic
730	#389	C₂²×C₈₉	1	1	yes	characteristic
731	#389	C₂²×C₈₉	1	1	yes	characteristic
732	#389	C₂²×C₈₉	1	1	yes	characteristic
733	#389	C₂²×C₈₉	1	1	yes	characteristic
734	#389	C₂²×C₈₉	1	1	yes	characteristic
735	#389	C₂²×C₈₉	1	1	yes	characteristic
736	#389	C₂²×C₈₉	1	1	yes	characteristic
737	#389	C₂²×C₈₉	1	1	yes	characteristic
738	#389	C₂²×C₈₉	1	1	yes	characteristic
739	#389	C₂²×C₈₉	1	1	yes	characteristic
740	#389	C₂²×C₈₉	1	1	yes	characteristic
741	#389	C₂²×C₈₉	1	1	yes	characteristic
742	#388	C₂²×C₈₉	1	1	yes	characteristic
743	#388	C₂²×C₈₉	1	1	yes	characteristic
744	#388	C₂²×C₈₉	1	1	yes	characteristic
745	#388	C₂²×C₈₉	1	1	yes	characteristic
746	#388	C₂²×C₈₉	1	1	yes	characteristic
747	#388	C₂²×C₈₉	1	1	yes	characteristic
748	#388	C₂²×C₈₉	1	1	yes	characteristic
749	#388	C₂²×C₈₉	1	1	yes	characteristic
750	#388	C₂²×C₈₉	1	1	yes	characteristic
751	#388	C₂²×C₈₉	1	1	yes	characteristic
752	#388	C₂²×C₈₉	1	1	yes	characteristic
753	#388	C₂²×C₈₉	1	1	yes	characteristic
754	#388	C₂²×C₈₉	1	1	yes	characteristic
755	#388	C₂²×C₈₉	1	1	yes	characteristic
756	#388	C₂²×C₈₉	1	1	yes	characteristic
757	#388	C₂²×C₈₉	1	1	yes	characteristic
758	#388	C₂²×C₈₉	1	1	yes	characteristic
759	#388	C₂²×C₈₉	1	1	yes	characteristic
760	#388	C₂²×C₈₉	1	1	yes	characteristic
761	#388	C₂²×C₈₉	1	1	yes	characteristic
762	#388	C₂²×C₈₉	1	1	yes	characteristic
763	#388	C₂²×C₈₉	1	1	yes	characteristic
764	#387	C₂²×C₈₉	1	1	yes	characteristic
765	#387	C₂²×C₈₉	1	1	yes	characteristic
766	#387	C₂²×C₈₉	1	1	yes	characteristic
767	#387	C₂²×C₈₉	1	1	yes	characteristic
768	#387	C₂²×C₈₉	1	1	yes	characteristic
769	#387	C₂²×C₈₉	1	1	yes	characteristic
770	#387	C₂²×C₈₉	1	1	yes	characteristic
771	#387	C₂²×C₈₉	1	1	yes	characteristic
772	#387	C₂²×C₈₉	1	1	yes	characteristic
773	#387	C₂²×C₈₉	1	1	yes	characteristic
774	#387	C₂²×C₈₉	1	1	yes	characteristic
775	#387	C₂²×C₈₉	1	1	yes	characteristic
776	#387	C₂²×C₈₉	1	1	yes	characteristic
777	#387	C₂²×C₈₉	1	1	yes	characteristic
778	#387	C₂²×C₈₉	1	1	yes	characteristic
779	#387	C₂²×C₈₉	1	1	yes	characteristic
780	#387	C₂²×C₈₉	1	1	yes	characteristic
781	#387	C₂²×C₈₉	1	1	yes	characteristic
782	#387	C₂²×C₈₉	1	1	yes	characteristic
783	#387	C₂²×C₈₉	1	1	yes	characteristic
784	#387	C₂²×C₈₉	1	1	yes	characteristic
785	#387	C₂²×C₈₉	1	1	yes	characteristic
786	#387	C₂²×C₈₉	1	1	yes	characteristic
787	#387	C₂²×C₈₉	1	1	yes	characteristic
788	#387	C₂²×C₈₉	1	1	yes	characteristic
789	#387	C₂²×C₈₉	1	1	yes	characteristic
790	#387	C₂²×C₈₉	1	1	yes	characteristic
791	#387	C₂²×C₈₉	1	1	yes	characteristic
792	#387	C₂²×C₈₉	1	1	yes	characteristic
793	#387	C₂²×C₈₉	1	1	yes	characteristic
794	#387	C₂²×C₈₉	1	1	yes	characteristic
795	#387	C₂²×C₈₉	1	1	yes	characteristic
796	#387	C₂²×C₈₉	1	1	yes	characteristic
797	#387	C₂²×C₈₉	1	1	yes	characteristic
798	#387	C₂²×C₈₉	1	1	yes	characteristic
799	#387	C₂²×C₈₉	1	1	yes	characteristic
800	#387	C₂²×C₈₉	1	1	yes	characteristic
801	#387	C₂²×C₈₉	1	1	yes	characteristic
802	#386	C₂²×C₈₉	1	1	yes	characteristic
803	#386	C₂²×C₈₉	1	1	yes	characteristic
804	#385	C₂²×C₈₉	1	1	yes	characteristic
805	#385	C₂²×C₈₉	1	1	yes	characteristic
806	#385	C₂²×C₈₉	1	1	yes	characteristic
807	#385	C₂²×C₈₉	1	1	yes	characteristic
808	#384	C₂²×C₈₉	1	1	yes	characteristic
809	#383	C₂²×C₈₉	1	1	yes	characteristic
810	#383	C₂²×C₈₉	1	1	yes	characteristic
811	#383	C₂²×C₈₉	1	1	yes	characteristic
812	#382	C₂²×C₈₉	1	1	yes	characteristic
813	#382	C₂²×C₈₉	1	1	yes	characteristic
814	#382	C₂²×C₈₉	1	1	yes	characteristic
815	#381	C₂²×C₈₉	1	1	yes	characteristic
816	#381	C₂²×C₈₉	1	1	yes	characteristic
817	#381	C₂²×C₈₉	1	1	yes	characteristic
818	#380	C₂²×C₈₉	1	1	yes	characteristic
819	#380	C₂²×C₈₉	1	1	yes	characteristic
820	#380	C₂²×C₈₉	1	1	yes	characteristic
821	#380	C₂²×C₈₉	1	1	yes	characteristic
822	#380	C₂²×C₈₉	1	1	yes	characteristic
823	#380	C₂²×C₈₉	1	1	yes	characteristic
824	#380	C₂²×C₈₉	1	1	yes	characteristic
825	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
826	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
827	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
828	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
829	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
830	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
831	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
832	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
833	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
834	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
835	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
836	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
837	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
838	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
839	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
840	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
841	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
842	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
843	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
844	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
845	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
846	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
847	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
848	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
850	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
851	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
852	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
853	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
854	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
855	#376	C₂²×C₈₉	1	1	yes	characteristic
856	#376	C₂²×C₈₉	1	1	yes	characteristic
857	#376	C₂²×C₈₉	1	1	yes	characteristic
858	#376	C₂²×C₈₉	1	1	yes	characteristic
859	#376	C₂²×C₈₉	1	1	yes	characteristic
860	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
861	C₄³	C₂²×C₈₉	1	1	yes	characteristic
862	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
863	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
864	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
865	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
866	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
867	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
869	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
870	#126	C₂×C₄×C₈₉	1	8	yes	—
871	#126	C₂×C₄×C₈₉	1	8	yes	—
872	#125	C₂×C₄×C₈₉	1	8	yes	complemented
873	#125	C₂×C₄×C₈₉	1	8	yes	complemented
874	#125	C₂×C₄×C₈₉	1	8	yes	complemented
875	#123	C₂×C₄×C₈₉	1	8	yes	—
876	#123	C₂×C₄×C₈₉	1	8	yes	—
877	C₂²⋊Q₈	C₂×C₄×C₈₉	1	8	yes	—
878	C₂²⋊Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
879	C₄×Q₈	C₂×C₄×C₈₉	1	8	yes	complemented
880	C₄×D₄	C₂×C₄×C₈₉	1	8	yes	—
881	#117	C₂×C₄×C₈₉	1	8	yes	—
882	#117	C₂×C₄×C₈₉	1	8	yes	complemented
883	#117	C₂×C₄×C₈₉	1	8	yes	complemented
884	C₂×C₄⋊C₄	C₂×C₄×C₈₉	1	8	yes	complemented
885	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
947	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
948	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
949	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
950	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
951	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
952	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
953	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
954	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
955	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
956	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
957	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
958	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
959	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
960	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
961	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
962	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
963	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
964	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
965	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
966	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
967	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
968	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
971	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
972	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
973	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
975	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
976	#95	C₂³×C₈₉	1	1	yes	characteristic
977	#95	C₂³×C₈₉	1	1	yes	characteristic
978	#95	C₂³×C₈₉	1	1	yes	characteristic
979	#95	C₂³×C₈₉	1	1	yes	characteristic
980	#95	C₂³×C₈₉	1	1	yes	characteristic
981	#95	C₂³×C₈₉	1	1	yes	characteristic
982	#95	C₂³×C₈₉	1	1	yes	characteristic
983	#95	C₂³×C₈₉	1	1	yes	characteristic
984	#95	C₂³×C₈₉	1	1	yes	characteristic
985	#95	C₂³×C₈₉	1	1	yes	characteristic
986	#95	C₂³×C₈₉	1	1	yes	characteristic
987	#95	C₂³×C₈₉	1	1	yes	characteristic
988	#95	C₂³×C₈₉	1	1	yes	characteristic
989	#95	C₂³×C₈₉	1	1	yes	characteristic
990	#95	C₂³×C₈₉	1	1	yes	characteristic
991	#95	C₂³×C₈₉	1	1	yes	characteristic
992	#95	C₂³×C₈₉	1	1	yes	characteristic
993	#95	C₂³×C₈₉	1	1	yes	characteristic
994	#95	C₂³×C₈₉	1	1	yes	characteristic
995	#95	C₂³×C₈₉	1	1	yes	characteristic
996	#95	C₂³×C₈₉	1	1	yes	characteristic
997	#95	C₂³×C₈₉	1	1	yes	characteristic
998	#95	C₂³×C₈₉	1	1	yes	characteristic
999	#95	C₂³×C₈₉	1	1	yes	characteristic
1000	#95	C₂³×C₈₉	1	1	yes	characteristic
1001	#95	C₂³×C₈₉	1	1	yes	characteristic
1002	#95	C₂³×C₈₉	1	1	yes	characteristic
1003	#95	C₂³×C₈₉	1	1	yes	characteristic
1004	#95	C₂³×C₈₉	1	1	yes	characteristic
1005	#95	C₂³×C₈₉	1	1	yes	characteristic
1006	#95	C₂³×C₈₉	1	1	yes	characteristic
1007	#95	C₂³×C₈₉	1	1	yes	characteristic
1008	#95	C₂³×C₈₉	1	1	yes	characteristic
1009	#95	C₂³×C₈₉	1	1	yes	characteristic
1010	#95	C₂³×C₈₉	1	1	yes	characteristic
1011	#95	C₂³×C₈₉	1	1	yes	characteristic
1012	#95	C₂³×C₈₉	1	1	yes	characteristic
1013	#95	C₂³×C₈₉	1	1	yes	characteristic
1014	#95	C₂³×C₈₉	1	1	yes	characteristic
1015	#95	C₂³×C₈₉	1	1	yes	characteristic
1016	#95	C₂³×C₈₉	1	1	yes	characteristic
1017	#95	C₂³×C₈₉	1	1	yes	characteristic
1018	#95	C₂³×C₈₉	1	1	yes	characteristic
1019	#95	C₂³×C₈₉	1	1	yes	characteristic
1020	#95	C₂³×C₈₉	1	1	yes	characteristic
1021	#95	C₂³×C₈₉	1	1	yes	characteristic
1022	#95	C₂³×C₈₉	1	1	yes	characteristic
1023	#95	C₂³×C₈₉	1	1	yes	characteristic
1024	#95	C₂³×C₈₉	1	1	yes	characteristic
1025	#95	C₂³×C₈₉	1	1	yes	characteristic
1026	#95	C₂³×C₈₉	1	1	yes	characteristic
1027	#95	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	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1033	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	—	4	1	no	—
1036	C₂×Q₈	C₂²×C₄×C₈₉	1	4	yes	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	C₂²×C₄×C₈₉	1	4	yes	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	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	C₂²×C₄×C₈₉	1	4	yes	—
1055	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1056	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1057	C₂²×C₄	C₂²×C₄×C₈₉	1	4	yes	—
1058	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1059	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1083	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1084	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	4	1	no	—
1101	C₄⋊C₄	—	4	1	no	—
1102	C₄⋊C₄	—	4	1	no	—
1103	C₄⋊C₄	—	4	1	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1112	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1113	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1114	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1115	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1116	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1117	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1118	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1119	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1120	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1121	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1122	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1123	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1124	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1125	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1126	C₄⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	1	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	1	no	—
1137	C₂²⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	—	4	1	no	—
1140	C₂²⋊C₄	—	4	1	no	—
1141	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1142	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1143	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1144	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1145	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1146	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1147	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1148	C₂²⋊C₄	C₂²×C₄×C₈₉	1	4	yes	—
1149	C₄²	—	2	2	no	—
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	—	4	1	no	—
1157	C₄²	—	4	1	no	—
1158	C₄²	—	4	1	no	—
1159	C₄²	—	4	1	no	—
1160	C₄²	—	4	1	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	4	1	no	—
1163	C₄²	—	4	1	no	—
1164	C₄²	—	4	1	no	—
1165	C₄²	—	4	1	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	4	1	no	—
1173	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1174	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1175	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1176	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1177	C₄²	C₂²×C₄×C₈₉	1	4	yes	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	C₂³×C₄×C₈₉	1	2	yes	—
1191	C₂³	C₂³×C₄×C₈₉	1	2	yes	—
1192	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1193	Q₈	—	4	4	no	—
1194	D₄	—	4	4	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	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	4	4	no	—
1269	C₂×C₄	—	4	4	no	—
1270	C₂×C₄	—	4	4	no	—
1271	C₂×C₄	—	4	4	no	—
1272	C₂×C₄	—	8	2	no	—
1273	C₂×C₄	—	8	2	no	—
1274	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1275	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1276	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1277	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1278	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1279	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1280	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1281	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1282	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1283	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1284	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1285	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1286	C₂×C₄	C₂³×C₄×C₈₉	1	2	yes	—
1287	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
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	—	2	2	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	C₂⁴×C₄×C₈₉	1	1	yes	characteristic
1303	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1304	C₂²	#585×C₈₉	1	1	yes	characteristic
1305	C₂²	#585×C₈₉	1	1	yes	characteristic
1306	C₂²	#585×C₈₉	1	1	yes	characteristic
1307	C₂²	#585×C₈₉	1	1	yes	characteristic
1308	C₂²	#585×C₈₉	1	1	yes	characteristic
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	C₈₉×#3428	1	1	yes	characteristic
1341	C₂	C₈₉×#3428	1	1	yes	characteristic
1342	C₂	C₄×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1343	C₂	C₈₉×#3564	1	1	yes	characteristic
1344	C₂	C₈₉×#3565	1	1	yes	characteristic
1345	C₂	C₈₉×#3566	1	1	yes	characteristic
1346	C₂	C₈₉×#3567	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₈₉
Frattini, cosocle	C₂³	C₂⁵×C₈₉
prime radical	C₂²×D₄×C₈₉	C₂³
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×#2382	C₂	semidirect
3. C₈₉×#2378	C₂	semidirect
4. C₈₉×#2378	C₂	semidirect
7. C₈₉×#2373	C₂	semidirect
8. C₈₉×#2373	C₂	semidirect
9. C₈₉×#2371	C₂	semidirect
10. C₈₉×#2370	C₂	semidirect
11. C₈₉×#2356	C₂	semidirect
13. C₈₉×#2347	C₂	semidirect
14. C₈₉×#2346	C₂	semidirect
15. C₈₉×#2345	C₂	semidirect
16. C₈₉×#2343	C₂	semidirect
17. C₈₉×#2336	C₂	semidirect
18. C₈₉×#2336	C₂	semidirect
21. C₈₉×#2334	C₂	semidirect
22. C₈₉×#2332	C₂	semidirect
23. C₈₉×#2330	C₂	semidirect
24. C₈₉×#2329	C₂	semidirect
26. C₈₉×#2314	C₂	semidirect
27. C₈₉×#2314	C₂	semidirect
28. C₈₉×#2313	C₂	semidirect
29. C₄×#126×C₈₉	C₂	semidirect
30. C₈₉×#2298	C₂	semidirect
31. C₈₉×#2295	C₂	semidirect
32. #552×C₈₉	C₄	semidirect
198. #125×C₈₉	C₂×C₄	semidirect
199. #125×C₈₉	C₂×C₄	semidirect
200. #125×C₈₉	C₂×C₄	semidirect
204. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
205. C₄×Q₈×C₈₉	C₂×C₄	semidirect
208. #117×C₈₉	C₂×C₄	semidirect
209. #117×C₈₉	C₂×C₄	semidirect
210. C₂×C₄⋊C₄×C₈₉	C₂×C₄	semidirect
664. #34507	C₈₉	direct (N × H)
675. #2382	C₂×C₈₉	semidirect
676. #2378	C₂×C₈₉	semidirect
677. #2378	C₂×C₈₉	semidirect
680. #2373	C₂×C₈₉	semidirect
681. #2373	C₂×C₈₉	semidirect
682. #2371	C₂×C₈₉	semidirect
683. #2370	C₂×C₈₉	semidirect
684. #2356	C₂×C₈₉	semidirect
686. #2347	C₂×C₈₉	semidirect
687. #2346	C₂×C₈₉	semidirect
688. #2345	C₂×C₈₉	semidirect
689. #2343	C₂×C₈₉	semidirect
690. #2336	C₂×C₈₉	semidirect
691. #2336	C₂×C₈₉	semidirect
694. #2334	C₂×C₈₉	semidirect
695. #2332	C₂×C₈₉	semidirect
696. #2330	C₂×C₈₉	semidirect
697. #2329	C₂×C₈₉	semidirect
699. #2314	C₂×C₈₉	semidirect
700. #2314	C₂×C₈₉	semidirect
701. #2313	C₂×C₈₉	semidirect
702. C₄×#126	C₂×C₈₉	semidirect
703. #2298	C₂×C₈₉	semidirect
704. #2295	C₂×C₈₉	semidirect
705. C₈₉	#34507	direct (N × H)
706. #552	C₄×C₈₉	semidirect
872. #125	C₂×C₄×C₈₉	semidirect
873. #125	C₂×C₄×C₈₉	semidirect
874. #125	C₂×C₄×C₈₉	semidirect
878. C₂²⋊Q₈	C₂×C₄×C₈₉	semidirect
879. C₄×Q₈	C₂×C₄×C₈₉	semidirect
882. #117	C₂×C₄×C₈₉	semidirect
883. #117	C₂×C₄×C₈₉	semidirect
884. C₂×C₄⋊C₄	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×#552×C₈₉	2
C₈₉×#2382	2
C₈₉×#2378	2
C₈₉×#2376	2
C₈₉×#2374	2
C₈₉×#2373	2
C₈₉×#2371	2
C₈₉×#2370	2
C₈₉×#2356	2
C₈₉×#2353	2
C₈₉×#2347	2
C₈₉×#2346	2
C₈₉×#2345	2
C₈₉×#2343	2
C₈₉×#2336	2
C₈₉×#2335	2
C₈₉×#2334	2
C₈₉×#2332	2
C₈₉×#2330	2
C₈₉×#2329	2
C₈₉×#2319	2
C₈₉×#2314	2
C₈₉×#2313	2
C₄×#126×C₈₉	2
C₈₉×#2298	2
C₈₉×#2295	2
#34507	89

Subgroups — C89×#34507 #36412355

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#34507 #36412355