Subgroups — C₈₉×#35363 #36413211

Order 22784.

2418 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#539×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#520×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2611	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2604	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2602	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#2601	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#2584	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2583	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2478	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2473	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2470	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#2466	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#2465	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2462	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2455	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2449	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2449	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#2443	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2438	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#2430	C₂	1	1	yes	maximal, characteristic
21	C₈₉×#2425	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2419	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2415	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#2413	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2413	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#2406	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#2322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#121×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#389×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic
33	#539×C₈₉	—	2	8	no	—
34	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
35	C₂×#126×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×#123×C₈₉	C₂²	1	1	yes	characteristic
41	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
43	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
44	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
49	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
51	#520×C₈₉	—	2	8	no	—
52	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
62	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
63	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
64	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
65	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
66	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
67	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
68	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
69	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
70	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
71	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic
73	#400×C₈₉	C₂²	1	1	yes	characteristic
74	#400×C₈₉	C₂²	1	1	yes	characteristic
75	#399×C₈₉	C₂²	1	1	yes	characteristic
76	#399×C₈₉	C₂²	1	1	yes	characteristic
77	#398×C₈₉	C₂²	1	1	yes	characteristic
78	#398×C₈₉	C₂²	1	1	yes	characteristic
79	#398×C₈₉	C₂²	1	1	yes	characteristic
80	#398×C₈₉	C₂²	1	1	yes	characteristic
81	#398×C₈₉	C₂²	1	1	yes	characteristic
82	#398×C₈₉	C₂²	1	1	yes	characteristic
83	#398×C₈₉	C₂²	1	1	yes	characteristic
84	#398×C₈₉	C₂²	1	1	yes	characteristic
85	#397×C₈₉	C₂²	1	1	yes	characteristic
86	#397×C₈₉	C₂²	1	1	yes	characteristic
87	#397×C₈₉	C₂²	1	1	yes	characteristic
88	#397×C₈₉	C₂²	1	1	yes	characteristic
89	#396×C₈₉	C₂²	1	1	yes	characteristic
90	#396×C₈₉	C₂²	1	1	yes	characteristic
91	#396×C₈₉	C₂²	1	1	yes	characteristic
92	#396×C₈₉	C₂²	1	1	yes	characteristic
93	#395×C₈₉	C₂²	1	1	yes	characteristic
94	#395×C₈₉	C₂²	1	1	yes	characteristic
95	#395×C₈₉	C₂²	1	1	yes	characteristic
96	#395×C₈₉	C₂²	1	1	yes	characteristic
97	#395×C₈₉	C₂²	1	1	yes	characteristic
98	#394×C₈₉	C₂²	1	1	yes	characteristic
99	#394×C₈₉	C₂²	1	1	yes	characteristic
100	#394×C₈₉	C₂²	1	1	yes	characteristic
101	#394×C₈₉	C₂²	1	1	yes	characteristic
102	#394×C₈₉	C₂²	1	1	yes	characteristic
103	#393×C₈₉	C₂²	1	1	yes	characteristic
104	#392×C₈₉	C₂²	1	1	yes	characteristic
105	#391×C₈₉	C₂²	1	1	yes	characteristic
106	#390×C₈₉	C₂²	1	1	yes	characteristic
107	#389×C₈₉	C₂²	1	1	yes	characteristic
108	#389×C₈₉	C₂²	1	1	yes	characteristic
109	#389×C₈₉	C₂²	1	1	yes	characteristic
110	#389×C₈₉	C₂²	1	1	yes	characteristic
111	#389×C₈₉	C₂²	1	1	yes	characteristic
112	#389×C₈₉	C₂²	1	1	yes	characteristic
113	#389×C₈₉	C₂²	1	1	yes	characteristic
114	#389×C₈₉	C₂²	1	1	yes	characteristic
115	#389×C₈₉	C₂²	1	1	yes	characteristic
116	#389×C₈₉	C₂²	1	1	yes	characteristic
117	#389×C₈₉	C₂²	1	1	yes	characteristic
118	#389×C₈₉	C₂²	1	1	yes	characteristic
119	#389×C₈₉	C₂²	1	1	yes	characteristic
120	#389×C₈₉	C₂²	1	1	yes	characteristic
121	#389×C₈₉	C₂²	1	1	yes	characteristic
122	#389×C₈₉	C₂²	1	1	yes	characteristic
123	#389×C₈₉	C₂²	1	1	yes	characteristic
124	#389×C₈₉	C₂²	1	1	yes	characteristic
125	#388×C₈₉	C₂²	1	1	yes	characteristic
126	#388×C₈₉	C₂²	1	1	yes	characteristic
127	#388×C₈₉	C₂²	1	1	yes	characteristic
128	#388×C₈₉	C₂²	1	1	yes	characteristic
129	#388×C₈₉	C₂²	1	1	yes	characteristic
130	#388×C₈₉	C₂²	1	1	yes	characteristic
131	#388×C₈₉	C₂²	1	1	yes	characteristic
132	#388×C₈₉	C₂²	1	1	yes	characteristic
133	#388×C₈₉	C₂²	1	1	yes	characteristic
134	#388×C₈₉	C₂²	1	1	yes	characteristic
135	#388×C₈₉	C₂²	1	1	yes	characteristic
136	#388×C₈₉	C₂²	1	1	yes	characteristic
137	#387×C₈₉	C₂²	1	1	yes	characteristic
138	#387×C₈₉	C₂²	1	1	yes	characteristic
139	#387×C₈₉	C₂²	1	1	yes	characteristic
140	#387×C₈₉	C₂²	1	1	yes	characteristic
141	#387×C₈₉	C₂²	1	1	yes	characteristic
142	#387×C₈₉	C₂²	1	1	yes	characteristic
143	#387×C₈₉	C₂²	1	1	yes	characteristic
144	#387×C₈₉	C₂²	1	1	yes	characteristic
145	#387×C₈₉	C₂²	1	1	yes	characteristic
146	#387×C₈₉	C₂²	1	1	yes	characteristic
147	#387×C₈₉	C₂²	1	1	yes	characteristic
148	#387×C₈₉	C₂²	1	1	yes	characteristic
149	#386×C₈₉	C₂²	1	1	yes	characteristic
150	#386×C₈₉	C₂²	1	1	yes	characteristic
151	#386×C₈₉	C₂²	1	1	yes	characteristic
152	#386×C₈₉	C₂²	1	1	yes	characteristic
153	#386×C₈₉	C₂²	1	1	yes	characteristic
154	#386×C₈₉	C₂²	1	1	yes	characteristic
155	#386×C₈₉	C₂²	1	1	yes	characteristic
156	#386×C₈₉	C₂²	1	1	yes	characteristic
157	#386×C₈₉	C₂²	1	1	yes	characteristic
158	#385×C₈₉	C₂²	1	1	yes	characteristic
159	#385×C₈₉	C₂²	1	1	yes	characteristic
160	#385×C₈₉	C₂²	1	1	yes	characteristic
161	#385×C₈₉	C₂²	1	1	yes	characteristic
162	#385×C₈₉	C₂²	1	1	yes	characteristic
163	#385×C₈₉	C₂²	1	1	yes	characteristic
164	#385×C₈₉	C₂²	1	1	yes	characteristic
165	#385×C₈₉	C₂²	1	1	yes	characteristic
166	#385×C₈₉	C₂²	1	1	yes	characteristic
167	#385×C₈₉	C₂²	1	1	yes	characteristic
168	#385×C₈₉	C₂²	1	1	yes	characteristic
169	#385×C₈₉	C₂²	1	1	yes	characteristic
170	#385×C₈₉	C₂²	1	1	yes	characteristic
171	#385×C₈₉	C₂²	1	1	yes	characteristic
172	#385×C₈₉	C₂²	1	1	yes	characteristic
173	#385×C₈₉	C₂²	1	1	yes	characteristic
174	#385×C₈₉	C₂²	1	1	yes	characteristic
175	#381×C₈₉	C₂²	1	1	yes	characteristic
176	#381×C₈₉	C₂²	1	1	yes	characteristic
177	#381×C₈₉	C₂²	1	1	yes	characteristic
178	#380×C₈₉	C₂²	1	1	yes	characteristic
179	#380×C₈₉	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	#376×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
189	C₂×#41×C₈₉	—	2	4	no	—
190	C₂×#41×C₈₉	—	2	4	no	—
191	C₂×#41×C₈₉	—	2	4	no	—
192	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
199	C₂²×D₄×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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
214	#126×C₈₉	—	2	4	no	—
215	#126×C₈₉	—	2	4	no	—
216	#125×C₈₉	—	2	4	no	—
217	#125×C₈₉	—	2	4	no	—
218	#123×C₈₉	—	2	4	no	—
219	#123×C₈₉	—	2	4	no	—
220	#123×C₈₉	—	2	4	no	—
221	#123×C₈₉	—	2	4	no	—
222	#123×C₈₉	—	2	4	no	—
223	#123×C₈₉	—	2	4	no	—
224	#123×C₈₉	—	4	2	no	—
225	C₂²⋊Q₈×C₈₉	—	2	4	no	—
226	C₂²⋊Q₈×C₈₉	—	2	4	no	—
227	C₂²⋊Q₈×C₈₉	—	2	4	no	—
228	C₂²⋊Q₈×C₈₉	—	4	2	no	—
229	#121×C₈₉	—	2	4	no	—
230	#121×C₈₉	—	2	4	no	—
231	C₄×Q₈×C₈₉	—	2	4	no	—
232	C₄×Q₈×C₈₉	—	2	4	no	—
233	C₄×D₄×C₈₉	—	2	4	no	—
234	C₄×D₄×C₈₉	—	2	4	no	—
235	C₄×D₄×C₈₉	—	2	4	no	—
236	C₄×D₄×C₈₉	—	2	4	no	—
237	C₄×D₄×C₈₉	—	2	4	no	—
238	C₄×D₄×C₈₉	—	2	4	no	—
239	C₄×D₄×C₈₉	—	4	2	no	—
240	C₄×D₄×C₈₉	D₄	1	8	yes	complemented
241	#117×C₈₉	—	2	4	no	—
242	#117×C₈₉	—	2	4	no	—
243	#117×C₈₉	—	2	4	no	—
244	#117×C₈₉	—	4	2	no	—
245	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
246	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
247	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
248	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
249	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
250	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
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×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₈₉	—	4	2	no	—
332	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
365	#95×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	#95×C₈₉	C₂³	1	1	yes	characteristic
377	#95×C₈₉	C₂³	1	1	yes	characteristic
378	#95×C₈₉	C₂³	1	1	yes	characteristic
379	#95×C₈₉	C₂³	1	1	yes	characteristic
380	#95×C₈₉	C₂³	1	1	yes	characteristic
381	#95×C₈₉	C₂³	1	1	yes	characteristic
382	#95×C₈₉	C₂³	1	1	yes	characteristic
383	#95×C₈₉	C₂³	1	1	yes	characteristic
384	#95×C₈₉	C₂³	1	1	yes	characteristic
385	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
389	#41×C₈₉	—	2	32	no	—
390	C₂×Q₈×C₈₉	—	2	2	no	—
391	C₂×Q₈×C₈₉	—	2	2	no	—
392	C₂×Q₈×C₈₉	—	2	2	no	—
393	C₂×Q₈×C₈₉	—	2	2	no	—
394	C₂×Q₈×C₈₉	—	4	1	no	—
395	C₂×Q₈×C₈₉	—	4	1	no	—
396	C₂×D₄×C₈₉	—	2	2	no	—
397	C₂×D₄×C₈₉	—	2	2	no	—
398	C₂×D₄×C₈₉	—	2	2	no	—
399	C₂×D₄×C₈₉	—	2	2	no	—
400	C₂×D₄×C₈₉	—	2	2	no	—
401	C₂×D₄×C₈₉	—	2	2	no	—
402	C₂×D₄×C₈₉	—	2	2	no	—
403	C₂×D₄×C₈₉	—	2	2	no	—
404	C₂×D₄×C₈₉	—	2	2	no	—
405	C₂×D₄×C₈₉	—	2	2	no	—
406	C₂×D₄×C₈₉	—	2	2	no	—
407	C₂×D₄×C₈₉	—	2	2	no	—
408	C₂×D₄×C₈₉	—	2	2	no	—
409	C₂×D₄×C₈₉	—	4	1	no	—
410	C₂×D₄×C₈₉	—	4	1	no	—
411	C₂×D₄×C₈₉	—	4	1	no	—
412	C₂×D₄×C₈₉	C₂×D₄	1	4	yes	—
413	C₂×D₄×C₈₉	#41	1	4	yes	—
414	C₂²×C₄×C₈₉	—	2	2	no	—
415	C₂²×C₄×C₈₉	—	2	2	no	—
416	C₂²×C₄×C₈₉	—	2	2	no	—
417	C₂²×C₄×C₈₉	—	2	2	no	—
418	C₂²×C₄×C₈₉	—	2	2	no	—
419	C₂²×C₄×C₈₉	—	2	2	no	—
420	C₂²×C₄×C₈₉	—	2	2	no	—
421	C₂²×C₄×C₈₉	—	2	2	no	—
422	C₂²×C₄×C₈₉	—	2	2	no	—
423	C₂²×C₄×C₈₉	—	2	2	no	—
424	C₂²×C₄×C₈₉	—	2	2	no	—
425	C₂²×C₄×C₈₉	—	2	2	no	—
426	C₂²×C₄×C₈₉	—	2	2	no	—
427	C₂²×C₄×C₈₉	—	2	2	no	—
428	C₂²×C₄×C₈₉	—	2	2	no	—
429	C₂²×C₄×C₈₉	—	2	2	no	—
430	C₂²×C₄×C₈₉	—	2	2	no	—
431	C₂²×C₄×C₈₉	—	2	2	no	—
432	C₂²×C₄×C₈₉	—	2	2	no	—
433	C₂²×C₄×C₈₉	—	2	2	no	—
434	C₂²×C₄×C₈₉	—	2	2	no	—
435	C₂²×C₄×C₈₉	—	2	2	no	—
436	C₂²×C₄×C₈₉	—	4	1	no	—
437	C₂²×C₄×C₈₉	—	4	1	no	—
438	C₂²×C₄×C₈₉	—	4	1	no	—
439	C₂²×C₄×C₈₉	—	4	1	no	—
440	C₂²×C₄×C₈₉	—	4	1	no	—
441	C₂²×C₄×C₈₉	—	4	1	no	—
442	C₂²×C₄×C₈₉	—	4	1	no	—
443	C₂²×C₄×C₈₉	—	4	1	no	—
444	C₂²×C₄×C₈₉	—	4	1	no	—
445	C₂²×C₄×C₈₉	—	4	1	no	—
446	C₂²×C₄×C₈₉	—	4	1	no	—
447	C₂²×C₄×C₈₉	—	4	1	no	—
448	C₂²×C₄×C₈₉	—	4	1	no	—
449	C₂²×C₄×C₈₉	—	4	1	no	—
450	C₂²×C₄×C₈₉	—	4	1	no	—
451	C₂²×C₄×C₈₉	—	4	1	no	—
452	C₂²×C₄×C₈₉	—	4	1	no	—
453	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
454	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
455	C₂²×C₄×C₈₉	#41	1	4	yes	—
456	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
483	C₄⋊C₄×C₈₉	—	2	2	no	—
484	C₄⋊C₄×C₈₉	—	2	2	no	—
485	C₄⋊C₄×C₈₉	—	2	2	no	—
486	C₄⋊C₄×C₈₉	—	2	2	no	—
487	C₄⋊C₄×C₈₉	—	2	2	no	—
488	C₄⋊C₄×C₈₉	—	2	2	no	—
489	C₄⋊C₄×C₈₉	—	2	2	no	—
490	C₄⋊C₄×C₈₉	—	2	2	no	—
491	C₄⋊C₄×C₈₉	—	2	2	no	—
492	C₄⋊C₄×C₈₉	—	2	2	no	—
493	C₄⋊C₄×C₈₉	—	2	2	no	—
494	C₄⋊C₄×C₈₉	—	2	2	no	—
495	C₄⋊C₄×C₈₉	—	2	2	no	—
496	C₄⋊C₄×C₈₉	—	2	2	no	—
497	C₄⋊C₄×C₈₉	—	2	2	no	—
498	C₄⋊C₄×C₈₉	—	2	2	no	—
499	C₄⋊C₄×C₈₉	—	2	2	no	—
500	C₄⋊C₄×C₈₉	—	2	2	no	—
501	C₄⋊C₄×C₈₉	—	2	2	no	—
502	C₄⋊C₄×C₈₉	—	2	2	no	—
503	C₄⋊C₄×C₈₉	—	2	2	no	—
504	C₄⋊C₄×C₈₉	—	2	2	no	—
505	C₄⋊C₄×C₈₉	—	2	2	no	—
506	C₄⋊C₄×C₈₉	—	2	2	no	—
507	C₄⋊C₄×C₈₉	—	2	2	no	—
508	C₄⋊C₄×C₈₉	—	2	2	no	—
509	C₄⋊C₄×C₈₉	—	2	2	no	—
510	C₄⋊C₄×C₈₉	—	2	2	no	—
511	C₄⋊C₄×C₈₉	—	2	2	no	—
512	C₄⋊C₄×C₈₉	—	2	2	no	—
513	C₄⋊C₄×C₈₉	—	2	2	no	—
514	C₄⋊C₄×C₈₉	—	2	2	no	—
515	C₄⋊C₄×C₈₉	—	2	2	no	—
516	C₄⋊C₄×C₈₉	—	2	2	no	—
517	C₄⋊C₄×C₈₉	—	2	2	no	—
518	C₄⋊C₄×C₈₉	—	2	2	no	—
519	C₄⋊C₄×C₈₉	—	2	2	no	—
520	C₄⋊C₄×C₈₉	—	4	1	no	—
521	C₄⋊C₄×C₈₉	—	4	1	no	—
522	C₄⋊C₄×C₈₉	—	4	1	no	—
523	C₄⋊C₄×C₈₉	—	4	1	no	—
524	C₄⋊C₄×C₈₉	—	4	1	no	—
525	C₄⋊C₄×C₈₉	—	4	1	no	—
526	C₄⋊C₄×C₈₉	—	4	1	no	—
527	C₄⋊C₄×C₈₉	—	4	1	no	—
528	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
529	C₂²⋊C₄×C₈₉	—	2	2	no	—
530	C₂²⋊C₄×C₈₉	—	2	2	no	—
531	C₂²⋊C₄×C₈₉	—	2	2	no	—
532	C₂²⋊C₄×C₈₉	—	2	2	no	—
533	C₂²⋊C₄×C₈₉	—	2	2	no	—
534	C₂²⋊C₄×C₈₉	—	2	2	no	—
535	C₂²⋊C₄×C₈₉	—	2	2	no	—
536	C₂²⋊C₄×C₈₉	—	2	2	no	—
537	C₂²⋊C₄×C₈₉	—	2	2	no	—
538	C₂²⋊C₄×C₈₉	—	2	2	no	—
539	C₂²⋊C₄×C₈₉	—	2	2	no	—
540	C₂²⋊C₄×C₈₉	—	2	2	no	—
541	C₂²⋊C₄×C₈₉	—	2	2	no	—
542	C₂²⋊C₄×C₈₉	—	2	2	no	—
543	C₂²⋊C₄×C₈₉	—	2	2	no	—
544	C₂²⋊C₄×C₈₉	—	2	2	no	—
545	C₂²⋊C₄×C₈₉	—	2	2	no	—
546	C₂²⋊C₄×C₈₉	—	2	2	no	—
547	C₂²⋊C₄×C₈₉	—	2	2	no	—
548	C₂²⋊C₄×C₈₉	—	2	2	no	—
549	C₂²⋊C₄×C₈₉	—	2	2	no	—
550	C₂²⋊C₄×C₈₉	—	2	2	no	—
551	C₂²⋊C₄×C₈₉	—	2	2	no	—
552	C₂²⋊C₄×C₈₉	—	2	2	no	—
553	C₂²⋊C₄×C₈₉	—	2	2	no	—
554	C₂²⋊C₄×C₈₉	—	2	2	no	—
555	C₂²⋊C₄×C₈₉	—	2	2	no	—
556	C₂²⋊C₄×C₈₉	—	4	1	no	—
557	C₂²⋊C₄×C₈₉	—	4	1	no	—
558	C₂²⋊C₄×C₈₉	—	4	1	no	—
559	C₂²⋊C₄×C₈₉	—	4	1	no	—
560	C₂²⋊C₄×C₈₉	—	4	1	no	—
561	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
562	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
563	C₄²×C₈₉	—	2	2	no	—
564	C₄²×C₈₉	—	2	2	no	—
565	C₄²×C₈₉	—	2	2	no	—
566	C₄²×C₈₉	—	2	2	no	—
567	C₄²×C₈₉	—	2	2	no	—
568	C₄²×C₈₉	—	2	2	no	—
569	C₄²×C₈₉	—	2	2	no	—
570	C₄²×C₈₉	—	2	2	no	—
571	C₄²×C₈₉	—	4	1	no	—
572	C₄²×C₈₉	—	4	1	no	—
573	C₄²×C₈₉	—	4	1	no	—
574	C₄²×C₈₉	—	4	1	no	—
575	C₄²×C₈₉	C₂×D₄	1	4	yes	—
576	C₂³×C₈₉	—	2	1	no	—
577	C₂³×C₈₉	—	2	1	no	—
578	C₂³×C₈₉	—	2	1	no	—
579	C₂³×C₈₉	—	2	1	no	—
580	C₂³×C₈₉	—	2	1	no	—
581	C₂³×C₈₉	—	2	1	no	—
582	C₂³×C₈₉	—	2	1	no	—
583	C₂³×C₈₉	—	2	1	no	—
584	C₂³×C₈₉	—	2	1	no	—
585	C₂³×C₈₉	—	2	1	no	—
586	C₂³×C₈₉	—	2	1	no	—
587	C₂³×C₈₉	—	2	1	no	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	—	2	1	no	—
591	C₂³×C₈₉	—	2	1	no	—
592	C₂³×C₈₉	—	2	1	no	—
593	C₂³×C₈₉	—	2	1	no	—
594	C₂³×C₈₉	—	2	1	no	—
595	C₂³×C₈₉	—	2	1	no	—
596	C₂³×C₈₉	—	2	1	no	—
597	C₂³×C₈₉	—	2	1	no	—
598	C₂³×C₈₉	—	2	1	no	—
599	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
600	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
601	C₂³×C₈₉	C₂×#41	1	2	yes	—
602	C₂³×C₈₉	C₂×#41	1	2	yes	—
603	C₂³×C₈₉	C₂×#41	1	2	yes	—
604	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
605	Q₈×C₈₉	—	2	8	no	—
606	Q₈×C₈₉	—	8	2	no	—
607	D₄×C₈₉	—	2	8	no	—
608	D₄×C₈₉	—	2	8	no	—
609	D₄×C₈₉	—	2	8	no	—
610	D₄×C₈₉	—	4	4	no	—
611	D₄×C₈₉	—	4	4	no	—
612	D₄×C₈₉	—	8	2	no	—
613	C₂×C₄×C₈₉	—	2	8	no	—
614	C₂×C₄×C₈₉	—	2	8	no	—
615	C₂×C₄×C₈₉	—	2	8	no	—
616	C₂×C₄×C₈₉	—	2	8	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	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	2	1	no	—
662	C₂×C₄×C₈₉	—	2	1	no	—
663	C₂×C₄×C₈₉	—	2	1	no	—
664	C₂×C₄×C₈₉	—	2	1	no	—
665	C₂×C₄×C₈₉	—	2	1	no	—
666	C₂×C₄×C₈₉	—	2	1	no	—
667	C₂×C₄×C₈₉	—	2	1	no	—
668	C₂×C₄×C₈₉	—	2	1	no	—
669	C₂×C₄×C₈₉	—	2	1	no	—
670	C₂×C₄×C₈₉	—	2	1	no	—
671	C₂×C₄×C₈₉	—	2	1	no	—
672	C₂×C₄×C₈₉	—	2	1	no	—
673	C₂×C₄×C₈₉	—	2	1	no	—
674	C₂×C₄×C₈₉	—	2	1	no	—
675	C₂×C₄×C₈₉	—	2	1	no	—
676	C₂×C₄×C₈₉	—	2	1	no	—
677	C₂×C₄×C₈₉	—	2	1	no	—
678	C₂×C₄×C₈₉	—	2	1	no	—
679	C₂×C₄×C₈₉	—	2	1	no	—
680	C₂×C₄×C₈₉	—	2	1	no	—
681	C₂×C₄×C₈₉	—	2	1	no	—
682	C₂×C₄×C₈₉	—	2	1	no	—
683	C₂×C₄×C₈₉	—	2	1	no	—
684	C₂×C₄×C₈₉	—	2	1	no	—
685	C₂×C₄×C₈₉	—	2	1	no	—
686	C₂×C₄×C₈₉	—	2	1	no	—
687	C₂×C₄×C₈₉	—	4	4	no	—
688	C₂×C₄×C₈₉	—	4	4	no	—
689	C₂×C₄×C₈₉	—	4	4	no	—
690	C₂×C₄×C₈₉	—	4	4	no	—
691	C₂×C₄×C₈₉	—	8	2	no	—
692	C₂×C₄×C₈₉	—	8	2	no	—
693	C₂×C₄×C₈₉	—	8	2	no	—
694	C₂×C₄×C₈₉	—	8	2	no	—
695	C₂×C₄×C₈₉	—	8	2	no	—
696	C₂×C₄×C₈₉	—	8	2	no	—
697	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
698	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
699	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
700	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
701	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
702	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
703	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
704	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
705	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
706	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
707	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
708	C₂²×C₈₉	—	2	2	no	—
709	C₂²×C₈₉	—	2	2	no	—
710	C₂²×C₈₉	—	2	2	no	—
711	C₂²×C₈₉	—	2	2	no	—
712	C₂²×C₈₉	—	2	2	no	—
713	C₂²×C₈₉	—	2	2	no	—
714	C₂²×C₈₉	—	2	2	no	—
715	C₂²×C₈₉	—	2	2	no	—
716	C₂²×C₈₉	—	2	2	no	—
717	C₂²×C₈₉	—	2	2	no	—
718	C₂²×C₈₉	—	2	2	no	—
719	C₂²×C₈₉	—	2	2	no	—
720	C₂²×C₈₉	—	4	1	no	—
721	C₂²×C₈₉	—	4	1	no	—
722	C₂²×C₈₉	—	4	1	no	—
723	C₂²×C₈₉	—	4	1	no	—
724	C₂²×C₈₉	—	4	1	no	—
725	C₂²×C₈₉	—	4	1	no	—
726	C₂²×C₈₉	—	4	1	no	—
727	C₂²×C₈₉	—	4	1	no	—
728	C₂²×C₈₉	—	4	1	no	—
729	C₂²×C₈₉	—	4	1	no	—
730	C₂²×C₈₉	—	4	1	no	—
731	C₂²×C₈₉	—	4	1	no	—
732	C₂²×C₈₉	—	4	1	no	—
733	C₂²×C₈₉	—	4	1	no	—
734	C₂²×C₈₉	—	4	1	no	—
735	C₂²×C₈₉	#525	1	4	yes	—
736	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
737	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
738	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
739	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
741	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
742	C₂²×C₈₉	#585	1	1	yes	characteristic
743	C₄×C₈₉	—	2	2	no	—
744	C₄×C₈₉	—	2	2	no	—
745	C₄×C₈₉	—	2	2	no	—
746	C₄×C₈₉	—	2	2	no	—
747	C₄×C₈₉	—	2	2	no	—
748	C₄×C₈₉	—	2	2	no	—
749	C₄×C₈₉	—	2	2	no	—
750	C₄×C₈₉	—	2	2	no	—
751	C₄×C₈₉	—	2	2	no	—
752	C₄×C₈₉	—	2	2	no	—
753	C₄×C₈₉	—	2	2	no	—
754	C₄×C₈₉	—	4	1	no	—
755	C₄×C₈₉	—	4	1	no	—
756	C₄×C₈₉	—	4	1	no	—
757	C₄×C₈₉	—	4	1	no	—
758	C₄×C₈₉	—	4	1	no	—
759	C₄×C₈₉	—	4	1	no	—
760	C₄×C₈₉	—	4	1	no	—
761	C₄×C₈₉	—	4	1	no	—
762	C₄×C₈₉	—	4	1	no	—
763	C₄×C₈₉	—	4	1	no	—
764	C₄×C₈₉	—	4	1	no	—
765	C₄×C₈₉	—	4	1	no	—
766	C₄×C₈₉	—	4	1	no	—
767	C₄×C₈₉	—	4	1	no	—
768	C₄×C₈₉	—	4	1	no	—
769	C₄×C₈₉	—	4	1	no	—
770	#35363	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
771	C₂×C₈₉	—	2	4	no	—
772	C₂×C₈₉	—	4	2	no	—
773	C₂×C₈₉	—	4	2	no	—
774	C₂×C₈₉	—	8	1	no	—
775	C₂×C₈₉	C₂×#525	1	1	yes	characteristic
776	C₂×C₈₉	#3492	1	1	yes	characteristic
777	C₂×C₈₉	#3496	1	1	yes	characteristic
778	C₂×C₈₉	#3499	1	1	yes	characteristic
779	C₂×C₈₉	#3507	1	1	yes	characteristic
780	C₂×C₈₉	#3515	1	1	yes	characteristic
781	C₂×C₈₉	#3520	1	1	yes	characteristic
782	C₂×#539	C₂×C₈₉	1	1	yes	characteristic, complemented
783	C₂×#520	C₂×C₈₉	1	1	yes	characteristic, complemented
784	#2611	C₂×C₈₉	1	1	yes	characteristic, complemented
785	#2604	C₂×C₈₉	1	1	yes	characteristic, complemented
786	#2602	C₂×C₈₉	1	1	yes	characteristic, complemented
787	#2601	C₂×C₈₉	1	1	yes	characteristic, complemented
788	#2584	C₂×C₈₉	1	1	yes	characteristic, complemented
789	#2583	C₂×C₈₉	1	1	yes	characteristic, complemented
790	#2478	C₂×C₈₉	1	1	yes	characteristic, complemented
791	#2473	C₂×C₈₉	1	1	yes	characteristic, complemented
792	#2470	C₂×C₈₉	1	1	yes	characteristic, complemented
793	#2466	C₂×C₈₉	1	1	yes	characteristic, complemented
794	#2465	C₂×C₈₉	1	1	yes	characteristic, complemented
795	#2462	C₂×C₈₉	1	1	yes	characteristic, complemented
796	#2455	C₂×C₈₉	1	1	yes	characteristic, complemented
797	#2449	C₂×C₈₉	1	1	yes	characteristic, complemented
798	#2449	C₂×C₈₉	1	1	yes	characteristic, complemented
799	#2443	C₂×C₈₉	1	1	yes	characteristic, complemented
800	#2438	C₂×C₈₉	1	1	yes	characteristic, complemented
801	#2430	C₂×C₈₉	1	1	yes	characteristic
802	#2425	C₂×C₈₉	1	1	yes	characteristic, complemented
803	#2419	C₂×C₈₉	1	1	yes	characteristic, complemented
804	#2415	C₂×C₈₉	1	1	yes	characteristic, complemented
805	#2413	C₂×C₈₉	1	1	yes	characteristic, complemented
806	#2413	C₂×C₈₉	1	1	yes	characteristic, complemented
807	#2406	C₂×C₈₉	1	1	yes	characteristic, complemented
808	#2322	C₂×C₈₉	1	1	yes	characteristic, complemented
809	#2322	C₂×C₈₉	1	1	yes	characteristic, complemented
810	C₄×#121	C₂×C₈₉	1	1	yes	characteristic, complemented
811	C₂×#389	C₂×C₈₉	1	1	yes	characteristic, complemented
812	#2290	C₂×C₈₉	1	1	yes	characteristic, complemented
813	C₈₉	#35363	1	1	yes	characteristic, direct product factor, Sylow
814	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic
815	#539	—	2	8	no	—
816	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
817	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
818	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
819	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
820	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
821	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
822	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
823	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
824	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
825	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
826	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
827	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
828	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
829	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
830	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
831	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
832	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
833	#520	—	2	8	no	—
834	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
835	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
836	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
837	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
838	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
839	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
840	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
841	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
842	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
844	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
845	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
846	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
847	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
848	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
849	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
850	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
851	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
852	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
853	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
854	C₂²×C₄²	C₂²×C₈₉	1	1	yes	characteristic
855	#400	C₂²×C₈₉	1	1	yes	characteristic
856	#400	C₂²×C₈₉	1	1	yes	characteristic
857	#399	C₂²×C₈₉	1	1	yes	characteristic
858	#399	C₂²×C₈₉	1	1	yes	characteristic
859	#398	C₂²×C₈₉	1	1	yes	characteristic
860	#398	C₂²×C₈₉	1	1	yes	characteristic
861	#398	C₂²×C₈₉	1	1	yes	characteristic
862	#398	C₂²×C₈₉	1	1	yes	characteristic
863	#398	C₂²×C₈₉	1	1	yes	characteristic
864	#398	C₂²×C₈₉	1	1	yes	characteristic
865	#398	C₂²×C₈₉	1	1	yes	characteristic
866	#398	C₂²×C₈₉	1	1	yes	characteristic
867	#397	C₂²×C₈₉	1	1	yes	characteristic
868	#397	C₂²×C₈₉	1	1	yes	characteristic
869	#397	C₂²×C₈₉	1	1	yes	characteristic
870	#397	C₂²×C₈₉	1	1	yes	characteristic
871	#396	C₂²×C₈₉	1	1	yes	characteristic
872	#396	C₂²×C₈₉	1	1	yes	characteristic
873	#396	C₂²×C₈₉	1	1	yes	characteristic
874	#396	C₂²×C₈₉	1	1	yes	characteristic
875	#395	C₂²×C₈₉	1	1	yes	characteristic
876	#395	C₂²×C₈₉	1	1	yes	characteristic
877	#395	C₂²×C₈₉	1	1	yes	characteristic
878	#395	C₂²×C₈₉	1	1	yes	characteristic
879	#395	C₂²×C₈₉	1	1	yes	characteristic
880	#394	C₂²×C₈₉	1	1	yes	characteristic
881	#394	C₂²×C₈₉	1	1	yes	characteristic
882	#394	C₂²×C₈₉	1	1	yes	characteristic
883	#394	C₂²×C₈₉	1	1	yes	characteristic
884	#394	C₂²×C₈₉	1	1	yes	characteristic
885	#393	C₂²×C₈₉	1	1	yes	characteristic
886	#392	C₂²×C₈₉	1	1	yes	characteristic
887	#391	C₂²×C₈₉	1	1	yes	characteristic
888	#390	C₂²×C₈₉	1	1	yes	characteristic
889	#389	C₂²×C₈₉	1	1	yes	characteristic
890	#389	C₂²×C₈₉	1	1	yes	characteristic
891	#389	C₂²×C₈₉	1	1	yes	characteristic
892	#389	C₂²×C₈₉	1	1	yes	characteristic
893	#389	C₂²×C₈₉	1	1	yes	characteristic
894	#389	C₂²×C₈₉	1	1	yes	characteristic
895	#389	C₂²×C₈₉	1	1	yes	characteristic
896	#389	C₂²×C₈₉	1	1	yes	characteristic
897	#389	C₂²×C₈₉	1	1	yes	characteristic
898	#389	C₂²×C₈₉	1	1	yes	characteristic
899	#389	C₂²×C₈₉	1	1	yes	characteristic
900	#389	C₂²×C₈₉	1	1	yes	characteristic
901	#389	C₂²×C₈₉	1	1	yes	characteristic
902	#389	C₂²×C₈₉	1	1	yes	characteristic
903	#389	C₂²×C₈₉	1	1	yes	characteristic
904	#389	C₂²×C₈₉	1	1	yes	characteristic
905	#389	C₂²×C₈₉	1	1	yes	characteristic
906	#389	C₂²×C₈₉	1	1	yes	characteristic
907	#388	C₂²×C₈₉	1	1	yes	characteristic
908	#388	C₂²×C₈₉	1	1	yes	characteristic
909	#388	C₂²×C₈₉	1	1	yes	characteristic
910	#388	C₂²×C₈₉	1	1	yes	characteristic
911	#388	C₂²×C₈₉	1	1	yes	characteristic
912	#388	C₂²×C₈₉	1	1	yes	characteristic
913	#388	C₂²×C₈₉	1	1	yes	characteristic
914	#388	C₂²×C₈₉	1	1	yes	characteristic
915	#388	C₂²×C₈₉	1	1	yes	characteristic
916	#388	C₂²×C₈₉	1	1	yes	characteristic
917	#388	C₂²×C₈₉	1	1	yes	characteristic
918	#388	C₂²×C₈₉	1	1	yes	characteristic
919	#387	C₂²×C₈₉	1	1	yes	characteristic
920	#387	C₂²×C₈₉	1	1	yes	characteristic
921	#387	C₂²×C₈₉	1	1	yes	characteristic
922	#387	C₂²×C₈₉	1	1	yes	characteristic
923	#387	C₂²×C₈₉	1	1	yes	characteristic
924	#387	C₂²×C₈₉	1	1	yes	characteristic
925	#387	C₂²×C₈₉	1	1	yes	characteristic
926	#387	C₂²×C₈₉	1	1	yes	characteristic
927	#387	C₂²×C₈₉	1	1	yes	characteristic
928	#387	C₂²×C₈₉	1	1	yes	characteristic
929	#387	C₂²×C₈₉	1	1	yes	characteristic
930	#387	C₂²×C₈₉	1	1	yes	characteristic
931	#386	C₂²×C₈₉	1	1	yes	characteristic
932	#386	C₂²×C₈₉	1	1	yes	characteristic
933	#386	C₂²×C₈₉	1	1	yes	characteristic
934	#386	C₂²×C₈₉	1	1	yes	characteristic
935	#386	C₂²×C₈₉	1	1	yes	characteristic
936	#386	C₂²×C₈₉	1	1	yes	characteristic
937	#386	C₂²×C₈₉	1	1	yes	characteristic
938	#386	C₂²×C₈₉	1	1	yes	characteristic
939	#386	C₂²×C₈₉	1	1	yes	characteristic
940	#385	C₂²×C₈₉	1	1	yes	characteristic
941	#385	C₂²×C₈₉	1	1	yes	characteristic
942	#385	C₂²×C₈₉	1	1	yes	characteristic
943	#385	C₂²×C₈₉	1	1	yes	characteristic
944	#385	C₂²×C₈₉	1	1	yes	characteristic
945	#385	C₂²×C₈₉	1	1	yes	characteristic
946	#385	C₂²×C₈₉	1	1	yes	characteristic
947	#385	C₂²×C₈₉	1	1	yes	characteristic
948	#385	C₂²×C₈₉	1	1	yes	characteristic
949	#385	C₂²×C₈₉	1	1	yes	characteristic
950	#385	C₂²×C₈₉	1	1	yes	characteristic
951	#385	C₂²×C₈₉	1	1	yes	characteristic
952	#385	C₂²×C₈₉	1	1	yes	characteristic
953	#385	C₂²×C₈₉	1	1	yes	characteristic
954	#385	C₂²×C₈₉	1	1	yes	characteristic
955	#385	C₂²×C₈₉	1	1	yes	characteristic
956	#385	C₂²×C₈₉	1	1	yes	characteristic
957	#381	C₂²×C₈₉	1	1	yes	characteristic
958	#381	C₂²×C₈₉	1	1	yes	characteristic
959	#381	C₂²×C₈₉	1	1	yes	characteristic
960	#380	C₂²×C₈₉	1	1	yes	characteristic
961	#380	C₂²×C₈₉	1	1	yes	characteristic
962	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
963	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
964	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
965	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
966	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
967	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
968	#376	C₂²×C₈₉	1	1	yes	characteristic
969	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
970	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
971	C₂×#41	—	2	4	no	—
972	C₂×#41	—	2	4	no	—
973	C₂×#41	—	2	4	no	—
974	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
975	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
976	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
977	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
978	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
979	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
980	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
981	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
984	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
995	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
996	#126	—	2	4	no	—
997	#126	—	2	4	no	—
998	#125	—	2	4	no	—
999	#125	—	2	4	no	—
1000	#123	—	2	4	no	—
1001	#123	—	2	4	no	—
1002	#123	—	2	4	no	—
1003	#123	—	2	4	no	—
1004	#123	—	2	4	no	—
1005	#123	—	2	4	no	—
1006	#123	—	4	2	no	—
1007	C₂²⋊Q₈	—	2	4	no	—
1008	C₂²⋊Q₈	—	2	4	no	—
1009	C₂²⋊Q₈	—	2	4	no	—
1010	C₂²⋊Q₈	—	4	2	no	—
1011	#121	—	2	4	no	—
1012	#121	—	2	4	no	—
1013	C₄×Q₈	—	2	4	no	—
1014	C₄×Q₈	—	2	4	no	—
1015	C₄×D₄	—	2	4	no	—
1016	C₄×D₄	—	2	4	no	—
1017	C₄×D₄	—	2	4	no	—
1018	C₄×D₄	—	2	4	no	—
1019	C₄×D₄	—	2	4	no	—
1020	C₄×D₄	—	2	4	no	—
1021	C₄×D₄	—	4	2	no	—
1022	C₄×D₄	D₄×C₈₉	1	8	yes	complemented
1023	#117	—	2	4	no	—
1024	#117	—	2	4	no	—
1025	#117	—	2	4	no	—
1026	#117	—	4	2	no	—
1027	C₂×C₄⋊C₄	—	2	4	no	—
1028	C₂×C₄⋊C₄	—	2	4	no	—
1029	C₂×C₄⋊C₄	—	2	4	no	—
1030	C₂×C₄⋊C₄	—	2	4	no	—
1031	C₂×C₄⋊C₄	—	2	4	no	—
1032	C₂×C₄⋊C₄	—	4	2	no	—
1033	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1113	C₂×C₄²	—	4	2	no	—
1114	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1115	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1116	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1117	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1118	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1119	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1120	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1121	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1123	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1124	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1125	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1126	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1127	#95	C₂³×C₈₉	1	1	yes	characteristic
1128	#95	C₂³×C₈₉	1	1	yes	characteristic
1129	#95	C₂³×C₈₉	1	1	yes	characteristic
1130	#95	C₂³×C₈₉	1	1	yes	characteristic
1131	#95	C₂³×C₈₉	1	1	yes	characteristic
1132	#95	C₂³×C₈₉	1	1	yes	characteristic
1133	#95	C₂³×C₈₉	1	1	yes	characteristic
1134	#95	C₂³×C₈₉	1	1	yes	characteristic
1135	#95	C₂³×C₈₉	1	1	yes	characteristic
1136	#95	C₂³×C₈₉	1	1	yes	characteristic
1137	#95	C₂³×C₈₉	1	1	yes	characteristic
1138	#95	C₂³×C₈₉	1	1	yes	characteristic
1139	#95	C₂³×C₈₉	1	1	yes	characteristic
1140	#95	C₂³×C₈₉	1	1	yes	characteristic
1141	#95	C₂³×C₈₉	1	1	yes	characteristic
1142	#95	C₂³×C₈₉	1	1	yes	characteristic
1143	#95	C₂³×C₈₉	1	1	yes	characteristic
1144	#95	C₂³×C₈₉	1	1	yes	characteristic
1145	#95	C₂³×C₈₉	1	1	yes	characteristic
1146	#95	C₂³×C₈₉	1	1	yes	characteristic
1147	#95	C₂³×C₈₉	1	1	yes	characteristic
1148	#95	C₂³×C₈₉	1	1	yes	characteristic
1149	#95	C₂³×C₈₉	1	1	yes	characteristic
1150	#95	C₂³×C₈₉	1	1	yes	characteristic
1151	#95	C₂³×C₈₉	1	1	yes	characteristic
1152	#95	C₂³×C₈₉	1	1	yes	characteristic
1153	#95	C₂³×C₈₉	1	1	yes	characteristic
1154	#95	C₂³×C₈₉	1	1	yes	characteristic
1155	#95	C₂³×C₈₉	1	1	yes	characteristic
1156	#95	C₂³×C₈₉	1	1	yes	characteristic
1157	#95	C₂³×C₈₉	1	1	yes	characteristic
1158	#95	C₂³×C₈₉	1	1	yes	characteristic
1159	#95	C₂³×C₈₉	1	1	yes	characteristic
1160	#95	C₂³×C₈₉	1	1	yes	characteristic
1161	#95	C₂³×C₈₉	1	1	yes	characteristic
1162	#95	C₂³×C₈₉	1	1	yes	characteristic
1163	#95	C₂³×C₈₉	1	1	yes	characteristic
1164	#95	C₂³×C₈₉	1	1	yes	characteristic
1165	#95	C₂³×C₈₉	1	1	yes	characteristic
1166	#95	C₂³×C₈₉	1	1	yes	characteristic
1167	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1168	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1169	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1170	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1171	#41	—	2	32	no	—
1172	C₂×Q₈	—	2	2	no	—
1173	C₂×Q₈	—	2	2	no	—
1174	C₂×Q₈	—	2	2	no	—
1175	C₂×Q₈	—	2	2	no	—
1176	C₂×Q₈	—	4	1	no	—
1177	C₂×Q₈	—	4	1	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	2	2	no	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	2	2	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	2	2	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	C₂×D₄×C₈₉	1	4	yes	—
1195	C₂×D₄	#41×C₈₉	1	4	yes	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	2	2	no	—
1201	C₂²×C₄	—	2	2	no	—
1202	C₂²×C₄	—	2	2	no	—
1203	C₂²×C₄	—	2	2	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	2	2	no	—
1208	C₂²×C₄	—	2	2	no	—
1209	C₂²×C₄	—	2	2	no	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
1236	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
1237	C₂²×C₄	#41×C₈₉	1	4	yes	—
1238	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	2	no	—
1271	C₄⋊C₄	—	2	2	no	—
1272	C₄⋊C₄	—	2	2	no	—
1273	C₄⋊C₄	—	2	2	no	—
1274	C₄⋊C₄	—	2	2	no	—
1275	C₄⋊C₄	—	2	2	no	—
1276	C₄⋊C₄	—	2	2	no	—
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	2	no	—
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	2	no	—
1300	C₄⋊C₄	—	2	2	no	—
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1311	C₂²⋊C₄	—	2	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1344	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1345	C₄²	—	2	2	no	—
1346	C₄²	—	2	2	no	—
1347	C₄²	—	2	2	no	—
1348	C₄²	—	2	2	no	—
1349	C₄²	—	2	2	no	—
1350	C₄²	—	2	2	no	—
1351	C₄²	—	2	2	no	—
1352	C₄²	—	2	2	no	—
1353	C₄²	—	4	1	no	—
1354	C₄²	—	4	1	no	—
1355	C₄²	—	4	1	no	—
1356	C₄²	—	4	1	no	—
1357	C₄²	C₂×D₄×C₈₉	1	4	yes	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1382	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1383	C₂³	C₂×#41×C₈₉	1	2	yes	—
1384	C₂³	C₂×#41×C₈₉	1	2	yes	—
1385	C₂³	C₂×#41×C₈₉	1	2	yes	—
1386	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1387	Q₈	—	2	8	no	—
1388	Q₈	—	8	2	no	—
1389	D₄	—	2	8	no	—
1390	D₄	—	2	8	no	—
1391	D₄	—	2	8	no	—
1392	D₄	—	4	4	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	8	2	no	—
1395	C₂×C₄	—	2	8	no	—
1396	C₂×C₄	—	2	8	no	—
1397	C₂×C₄	—	2	8	no	—
1398	C₂×C₄	—	2	8	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	4	4	no	—
1470	C₂×C₄	—	4	4	no	—
1471	C₂×C₄	—	4	4	no	—
1472	C₂×C₄	—	4	4	no	—
1473	C₂×C₄	—	8	2	no	—
1474	C₂×C₄	—	8	2	no	—
1475	C₂×C₄	—	8	2	no	—
1476	C₂×C₄	—	8	2	no	—
1477	C₂×C₄	—	8	2	no	—
1478	C₂×C₄	—	8	2	no	—
1479	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1480	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1481	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1482	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1483	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1484	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1485	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1486	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1487	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
1488	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
1489	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	#525×C₈₉	1	4	yes	—
1518	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1519	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1520	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1521	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1522	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1523	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1524	C₂²	#585×C₈₉	1	1	yes	characteristic
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₂	—	2	4	no	—
1553	C₂	—	4	2	no	—
1554	C₂	—	4	2	no	—
1555	C₂	—	8	1	no	—
1556	C₂	C₂×#525×C₈₉	1	1	yes	characteristic
1557	C₂	C₈₉×#3492	1	1	yes	characteristic
1558	C₂	C₈₉×#3496	1	1	yes	characteristic
1559	C₂	C₈₉×#3499	1	1	yes	characteristic
1560	C₂	C₈₉×#3507	1	1	yes	characteristic
1561	C₂	C₈₉×#3515	1	1	yes	characteristic
1562	C₂	C₈₉×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₈₉
prime radical	C₈₉×#2430	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#539×C₈₉	C₂	semidirect
2. C₂×#520×C₈₉	C₂	semidirect
3. C₈₉×#2611	C₂	semidirect
4. C₈₉×#2604	C₂	semidirect
5. C₈₉×#2602	C₂	semidirect
6. C₈₉×#2601	C₂	semidirect
7. C₈₉×#2584	C₂	semidirect
8. C₈₉×#2583	C₂	semidirect
9. C₈₉×#2478	C₂	semidirect
10. C₈₉×#2473	C₂	semidirect
11. C₈₉×#2470	C₂	semidirect
12. C₈₉×#2466	C₂	semidirect
13. C₈₉×#2465	C₂	semidirect
14. C₈₉×#2462	C₂	semidirect
15. C₈₉×#2455	C₂	semidirect
16. C₈₉×#2449	C₂	semidirect
17. C₈₉×#2449	C₂	semidirect
18. C₈₉×#2443	C₂	semidirect
19. C₈₉×#2438	C₂	semidirect
21. C₈₉×#2425	C₂	semidirect
22. C₈₉×#2419	C₂	semidirect
23. C₈₉×#2415	C₂	semidirect
24. C₈₉×#2413	C₂	semidirect
25. C₈₉×#2413	C₂	semidirect
26. C₈₉×#2406	C₂	semidirect
27. C₈₉×#2322	C₂	semidirect
28. C₈₉×#2322	C₂	semidirect
29. C₄×#121×C₈₉	C₂	semidirect
30. C₂×#389×C₈₉	C₂	semidirect
31. C₈₉×#2290	C₂	semidirect
240. C₄×D₄×C₈₉	D₄	semidirect
770. #35363	C₈₉	direct (N × H)
782. C₂×#539	C₂×C₈₉	semidirect
783. C₂×#520	C₂×C₈₉	semidirect
784. #2611	C₂×C₈₉	semidirect
785. #2604	C₂×C₈₉	semidirect
786. #2602	C₂×C₈₉	semidirect
787. #2601	C₂×C₈₉	semidirect
788. #2584	C₂×C₈₉	semidirect
789. #2583	C₂×C₈₉	semidirect
790. #2478	C₂×C₈₉	semidirect
791. #2473	C₂×C₈₉	semidirect
792. #2470	C₂×C₈₉	semidirect
793. #2466	C₂×C₈₉	semidirect
794. #2465	C₂×C₈₉	semidirect
795. #2462	C₂×C₈₉	semidirect
796. #2455	C₂×C₈₉	semidirect
797. #2449	C₂×C₈₉	semidirect
798. #2449	C₂×C₈₉	semidirect
799. #2443	C₂×C₈₉	semidirect
800. #2438	C₂×C₈₉	semidirect
802. #2425	C₂×C₈₉	semidirect
803. #2419	C₂×C₈₉	semidirect
804. #2415	C₂×C₈₉	semidirect
805. #2413	C₂×C₈₉	semidirect
806. #2413	C₂×C₈₉	semidirect
807. #2406	C₂×C₈₉	semidirect
808. #2322	C₂×C₈₉	semidirect
809. #2322	C₂×C₈₉	semidirect
810. C₄×#121	C₂×C₈₉	semidirect
811. C₂×#389	C₂×C₈₉	semidirect
812. #2290	C₂×C₈₉	semidirect
813. C₈₉	#35363	direct (N × H)
1022. C₄×D₄	D₄×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#539×C₈₉	2
C₂×#520×C₈₉	2
C₈₉×#2611	2
C₈₉×#2604	2
C₈₉×#2602	2
C₈₉×#2601	2
C₈₉×#2584	2
C₈₉×#2583	2
C₈₉×#2478	2
C₈₉×#2473	2
C₈₉×#2470	2
C₈₉×#2466	2
C₈₉×#2465	2
C₈₉×#2462	2
C₈₉×#2455	2
C₈₉×#2449	2
C₈₉×#2443	2
C₈₉×#2438	2
C₈₉×#2430	2
C₈₉×#2425	2
C₈₉×#2419	2
C₈₉×#2415	2
C₈₉×#2413	2
C₈₉×#2406	2
C₈₉×#2322	2
C₄×#121×C₈₉	2
C₂×#389×C₈₉	2
C₈₉×#2290	2
#35363	89

Subgroups — C89×#35363 #36413211

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#35363 #36413211