Subgroups — C₈₉×#35374 #36413222

Order 22784.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#2578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#2577	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2574	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2553	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2531	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#2530	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#2522	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2521	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2481	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2480	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2473	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#2472	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#2468	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2467	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2460	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2457	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2454	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#2450	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2449	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#2443	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#2427	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2425	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2424	C₂	1	1	yes	maximal, characteristic
24	C₈₉×#2418	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2329	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#2325	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2318	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#120×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#120×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#380×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2275	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₈₉	C₂²	1	1	yes	characteristic
33	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic
34	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
38	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
43	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
44	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
53	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
54	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
57	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
59	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
60	#399×C₈₉	C₂²	1	1	yes	characteristic
61	#399×C₈₉	C₂²	1	1	yes	characteristic, complemented
62	#399×C₈₉	C₂²	1	1	yes	characteristic, complemented
63	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
64	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
65	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
66	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
67	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
68	#397×C₈₉	C₂²	1	1	yes	characteristic
69	#397×C₈₉	C₂²	1	1	yes	characteristic
70	#397×C₈₉	C₂²	1	1	yes	characteristic
71	#397×C₈₉	C₂²	1	1	yes	characteristic
72	#397×C₈₉	C₂²	1	1	yes	characteristic
73	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
74	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
75	#396×C₈₉	C₂²	1	1	yes	characteristic
76	#396×C₈₉	C₂²	1	1	yes	characteristic
77	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
78	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
79	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
80	#394×C₈₉	C₂²	1	1	yes	characteristic
81	#394×C₈₉	C₂²	1	1	yes	characteristic
82	#394×C₈₉	C₂²	1	1	yes	characteristic
83	#394×C₈₉	C₂²	1	1	yes	characteristic
84	#394×C₈₉	C₂²	1	1	yes	characteristic
85	#394×C₈₉	C₂²	1	1	yes	characteristic
86	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#393×C₈₉	C₂²	1	1	yes	characteristic
88	#392×C₈₉	C₂²	1	1	yes	characteristic
89	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
90	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
91	#390×C₈₉	C₂²	1	1	yes	characteristic
92	#390×C₈₉	C₂²	1	1	yes	characteristic
93	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
95	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#388×C₈₉	C₂²	1	1	yes	characteristic
98	#388×C₈₉	C₂²	1	1	yes	characteristic
99	#388×C₈₉	C₂²	1	1	yes	characteristic
100	#388×C₈₉	C₂²	1	1	yes	characteristic
101	#388×C₈₉	C₂²	1	1	yes	characteristic
102	#388×C₈₉	C₂²	1	1	yes	characteristic
103	#388×C₈₉	C₂²	1	1	yes	characteristic
104	#388×C₈₉	C₂²	1	1	yes	characteristic
105	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
106	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
107	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
108	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
109	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
110	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
116	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
117	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
118	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
119	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
120	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
121	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#386×C₈₉	C₂²	1	1	yes	characteristic
126	#386×C₈₉	C₂²	1	1	yes	characteristic
127	#386×C₈₉	C₂²	1	1	yes	characteristic
128	#386×C₈₉	C₂²	1	1	yes	characteristic
129	#386×C₈₉	C₂²	1	1	yes	characteristic
130	#386×C₈₉	C₂²	1	1	yes	characteristic
131	#386×C₈₉	C₂²	1	1	yes	characteristic
132	#386×C₈₉	C₂²	1	1	yes	characteristic
133	#386×C₈₉	C₂²	1	1	yes	characteristic
134	#386×C₈₉	C₂²	1	1	yes	characteristic
135	#386×C₈₉	C₂²	1	1	yes	characteristic
136	#386×C₈₉	C₂²	1	1	yes	characteristic
137	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
139	#385×C₈₉	C₂²	1	1	yes	characteristic
140	#385×C₈₉	C₂²	1	1	yes	characteristic
141	#385×C₈₉	C₂²	1	1	yes	characteristic
142	#385×C₈₉	C₂²	1	1	yes	characteristic
143	#385×C₈₉	C₂²	1	1	yes	characteristic
144	#385×C₈₉	C₂²	1	1	yes	characteristic
145	#385×C₈₉	C₂²	1	1	yes	characteristic
146	#385×C₈₉	C₂²	1	1	yes	characteristic
147	#385×C₈₉	C₂²	1	1	yes	characteristic
148	#385×C₈₉	C₂²	1	1	yes	characteristic
149	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
150	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
151	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
153	#383×C₈₉	C₂²	1	1	yes	characteristic, complemented
154	#382×C₈₉	C₂²	1	1	yes	characteristic, complemented
155	#381×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#380×C₈₉	C₂²	1	1	yes	characteristic
157	#380×C₈₉	C₂²	1	1	yes	characteristic
158	#380×C₈₉	C₂²	1	1	yes	characteristic
159	#380×C₈₉	C₂²	1	1	yes	characteristic
160	#380×C₈₉	C₂²	1	1	yes	characteristic
161	#380×C₈₉	C₂²	1	1	yes	characteristic
162	#380×C₈₉	C₂²	1	1	yes	characteristic
163	#380×C₈₉	C₂²	1	1	yes	characteristic
164	#380×C₈₉	C₂²	1	1	yes	characteristic
165	#380×C₈₉	C₂²	1	1	yes	characteristic
166	#380×C₈₉	C₂²	1	1	yes	characteristic, complemented
167	#379×C₈₉	C₂²	1	1	yes	characteristic
168	#379×C₈₉	C₂²	1	1	yes	characteristic
169	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
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, complemented
181	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#376×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
185	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₈₉	—	2	4	no	—
197	C₂³×C₄×C₈₉	—	4	2	no	—
198	C₂³×C₄×C₈₉	—	4	2	no	—
199	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
203	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	#126×C₈₉	—	4	2	no	—
214	#126×C₈₉	—	4	2	no	—
215	#125×C₈₉	—	4	2	no	—
216	#124×C₈₉	—	4	2	no	—
217	#123×C₈₉	—	4	2	no	—
218	#123×C₈₉	—	4	2	no	—
219	C₂²⋊Q₈×C₈₉	—	2	4	no	—
220	C₂²⋊Q₈×C₈₉	—	4	2	no	—
221	#121×C₈₉	—	2	4	no	—
222	#121×C₈₉	—	4	2	no	—
223	#120×C₈₉	—	2	4	no	—
224	#120×C₈₉	—	2	4	no	—
225	C₄×D₄×C₈₉	—	2	4	no	—
226	C₄×D₄×C₈₉	—	2	4	no	—
227	C₄×D₄×C₈₉	—	2	4	no	—
228	C₄×D₄×C₈₉	—	2	4	no	—
229	C₄×D₄×C₈₉	—	4	2	no	—
230	C₄×D₄×C₈₉	—	4	2	no	—
231	C₄×D₄×C₈₉	—	4	2	no	—
232	C₄×D₄×C₈₉	—	4	2	no	—
233	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
234	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
235	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
255	C₂×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×C₂²⋊C₄×C₈₉	—	4	2	no	—
268	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
269	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
325	#95×C₈₉	C₂³	1	1	yes	characteristic
326	#95×C₈₉	C₂³	1	1	yes	characteristic
327	#95×C₈₉	C₂³	1	1	yes	characteristic
328	#95×C₈₉	C₂³	1	1	yes	characteristic
329	#95×C₈₉	C₂³	1	1	yes	characteristic
330	#95×C₈₉	C₂³	1	1	yes	characteristic
331	#95×C₈₉	C₂³	1	1	yes	characteristic
332	#95×C₈₉	C₂³	1	1	yes	characteristic
333	#95×C₈₉	C₂³	1	1	yes	characteristic
334	#95×C₈₉	C₂³	1	1	yes	characteristic
335	#95×C₈₉	C₂³	1	1	yes	characteristic
336	#95×C₈₉	C₂³	1	1	yes	characteristic
337	#95×C₈₉	C₂³	1	1	yes	characteristic
338	#95×C₈₉	C₂³	1	1	yes	characteristic
339	#95×C₈₉	C₂³	1	1	yes	characteristic
340	#95×C₈₉	C₂³	1	1	yes	characteristic
341	#95×C₈₉	C₂³	1	1	yes	characteristic
342	#95×C₈₉	C₂³	1	1	yes	characteristic
343	#95×C₈₉	C₂³	1	1	yes	characteristic
344	#95×C₈₉	C₂³	1	1	yes	characteristic
345	#95×C₈₉	C₂³	1	1	yes	characteristic
346	#95×C₈₉	C₂³	1	1	yes	characteristic
347	#95×C₈₉	C₂³	1	1	yes	characteristic
348	#95×C₈₉	C₂³	1	1	yes	characteristic
349	#95×C₈₉	C₂³	1	1	yes	characteristic
350	#95×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	#95×C₈₉	C₂³	1	1	yes	characteristic
358	#95×C₈₉	C₂³	1	1	yes	characteristic
359	#95×C₈₉	C₂³	1	1	yes	characteristic
360	#95×C₈₉	C₂³	1	1	yes	characteristic
361	#95×C₈₉	C₂³	1	1	yes	characteristic
362	#95×C₈₉	C₂³	1	1	yes	characteristic
363	#95×C₈₉	C₂³	1	1	yes	characteristic
364	#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	C₂⁴×C₈₉	—	2	2	no	—
370	C₂⁴×C₈₉	—	2	2	no	—
371	C₂⁴×C₈₉	—	2	2	no	—
372	C₂⁴×C₈₉	—	2	2	no	—
373	C₂⁴×C₈₉	—	2	2	no	—
374	C₂⁴×C₈₉	—	4	1	no	—
375	C₂⁴×C₈₉	—	4	1	no	—
376	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
381	C₂×Q₈×C₈₉	—	2	2	no	—
382	C₂×Q₈×C₈₉	—	4	1	no	—
383	C₂×Q₈×C₈₉	—	4	1	no	—
384	C₂×D₄×C₈₉	—	2	2	no	—
385	C₂×D₄×C₈₉	—	2	2	no	—
386	C₂×D₄×C₈₉	—	2	2	no	—
387	C₂×D₄×C₈₉	—	2	2	no	—
388	C₂×D₄×C₈₉	—	2	2	no	—
389	C₂×D₄×C₈₉	—	2	2	no	—
390	C₂×D₄×C₈₉	—	2	2	no	—
391	C₂×D₄×C₈₉	—	2	2	no	—
392	C₂×D₄×C₈₉	—	2	2	no	—
393	C₂×D₄×C₈₉	—	2	2	no	—
394	C₂×D₄×C₈₉	—	2	2	no	—
395	C₂×D₄×C₈₉	—	2	2	no	—
396	C₂×D₄×C₈₉	—	2	2	no	—
397	C₂×D₄×C₈₉	—	2	2	no	—
398	C₂×D₄×C₈₉	—	4	1	no	—
399	C₂×D₄×C₈₉	—	4	1	no	—
400	C₂×D₄×C₈₉	—	4	1	no	—
401	C₂×D₄×C₈₉	—	4	1	no	—
402	C₂×D₄×C₈₉	—	4	1	no	—
403	C₂×D₄×C₈₉	—	4	1	no	—
404	C₂×D₄×C₈₉	#41	1	4	yes	—
405	C₂²×C₄×C₈₉	—	2	2	no	—
406	C₂²×C₄×C₈₉	—	2	2	no	—
407	C₂²×C₄×C₈₉	—	2	2	no	—
408	C₂²×C₄×C₈₉	—	2	2	no	—
409	C₂²×C₄×C₈₉	—	2	2	no	—
410	C₂²×C₄×C₈₉	—	2	2	no	—
411	C₂²×C₄×C₈₉	—	2	2	no	—
412	C₂²×C₄×C₈₉	—	2	2	no	—
413	C₂²×C₄×C₈₉	—	2	2	no	—
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	—	4	1	no	—
425	C₂²×C₄×C₈₉	—	4	1	no	—
426	C₂²×C₄×C₈₉	—	4	1	no	—
427	C₂²×C₄×C₈₉	—	4	1	no	—
428	C₂²×C₄×C₈₉	—	4	1	no	—
429	C₂²×C₄×C₈₉	—	4	1	no	—
430	C₂²×C₄×C₈₉	—	4	1	no	—
431	C₂²×C₄×C₈₉	—	4	1	no	—
432	C₂²×C₄×C₈₉	—	4	1	no	—
433	C₂²×C₄×C₈₉	—	4	1	no	—
434	C₂²×C₄×C₈₉	—	4	1	no	—
435	C₂²×C₄×C₈₉	—	4	1	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	16	no	—
447	C₂²×C₄×C₈₉	#41	1	4	yes	—
448	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₈₉	—	2	2	no	—
475	C₄⋊C₄×C₈₉	—	2	2	no	—
476	C₄⋊C₄×C₈₉	—	2	2	no	—
477	C₄⋊C₄×C₈₉	—	2	2	no	—
478	C₄⋊C₄×C₈₉	—	2	2	no	—
479	C₄⋊C₄×C₈₉	—	2	2	no	—
480	C₄⋊C₄×C₈₉	—	2	2	no	—
481	C₄⋊C₄×C₈₉	—	2	2	no	—
482	C₄⋊C₄×C₈₉	—	2	2	no	—
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	—	4	1	no	—
491	C₄⋊C₄×C₈₉	—	4	1	no	—
492	C₄⋊C₄×C₈₉	—	4	1	no	—
493	C₄⋊C₄×C₈₉	—	4	1	no	—
494	C₄⋊C₄×C₈₉	—	4	1	no	—
495	C₄⋊C₄×C₈₉	—	4	1	no	—
496	C₄⋊C₄×C₈₉	—	4	1	no	—
497	C₄⋊C₄×C₈₉	—	4	1	no	—
498	C₄⋊C₄×C₈₉	—	4	1	no	—
499	C₄⋊C₄×C₈₉	—	4	1	no	—
500	C₄⋊C₄×C₈₉	—	4	1	no	—
501	C₄⋊C₄×C₈₉	—	4	1	no	—
502	C₄⋊C₄×C₈₉	—	4	1	no	—
503	C₄⋊C₄×C₈₉	—	4	1	no	—
504	C₄⋊C₄×C₈₉	—	4	1	no	—
505	C₄⋊C₄×C₈₉	—	4	1	no	—
506	C₂²⋊C₄×C₈₉	—	2	2	no	—
507	C₂²⋊C₄×C₈₉	—	2	2	no	—
508	C₂²⋊C₄×C₈₉	—	2	2	no	—
509	C₂²⋊C₄×C₈₉	—	2	2	no	—
510	C₂²⋊C₄×C₈₉	—	2	2	no	—
511	C₂²⋊C₄×C₈₉	—	2	2	no	—
512	C₂²⋊C₄×C₈₉	—	2	2	no	—
513	C₂²⋊C₄×C₈₉	—	2	2	no	—
514	C₂²⋊C₄×C₈₉	—	2	2	no	—
515	C₂²⋊C₄×C₈₉	—	2	2	no	—
516	C₂²⋊C₄×C₈₉	—	2	2	no	—
517	C₂²⋊C₄×C₈₉	—	2	2	no	—
518	C₂²⋊C₄×C₈₉	—	2	2	no	—
519	C₂²⋊C₄×C₈₉	—	2	2	no	—
520	C₂²⋊C₄×C₈₉	—	2	2	no	—
521	C₂²⋊C₄×C₈₉	—	2	2	no	—
522	C₂²⋊C₄×C₈₉	—	2	2	no	—
523	C₂²⋊C₄×C₈₉	—	2	2	no	—
524	C₂²⋊C₄×C₈₉	—	2	2	no	—
525	C₂²⋊C₄×C₈₉	—	2	2	no	—
526	C₂²⋊C₄×C₈₉	—	2	2	no	—
527	C₂²⋊C₄×C₈₉	—	2	2	no	—
528	C₂²⋊C₄×C₈₉	—	2	2	no	—
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	—	4	1	no	—
534	C₂²⋊C₄×C₈₉	—	4	1	no	—
535	C₂²⋊C₄×C₈₉	—	4	1	no	—
536	C₂²⋊C₄×C₈₉	—	4	1	no	—
537	C₂²⋊C₄×C₈₉	—	4	1	no	—
538	C₂²⋊C₄×C₈₉	—	4	1	no	—
539	C₂²⋊C₄×C₈₉	—	4	1	no	—
540	C₂²⋊C₄×C₈₉	—	4	1	no	—
541	C₂²⋊C₄×C₈₉	—	4	1	no	—
542	C₂²⋊C₄×C₈₉	—	4	1	no	—
543	C₂²⋊C₄×C₈₉	—	4	1	no	—
544	C₂²⋊C₄×C₈₉	—	4	1	no	—
545	C₂²⋊C₄×C₈₉	—	4	1	no	—
546	C₂²⋊C₄×C₈₉	—	4	1	no	—
547	C₂²⋊C₄×C₈₉	—	4	1	no	—
548	C₂²⋊C₄×C₈₉	—	4	1	no	—
549	C₂²⋊C₄×C₈₉	#41	1	4	yes	—
550	C₄²×C₈₉	—	2	2	no	—
551	C₄²×C₈₉	—	2	2	no	—
552	C₄²×C₈₉	—	2	2	no	—
553	C₄²×C₈₉	—	2	2	no	—
554	C₄²×C₈₉	—	4	1	no	—
555	C₄²×C₈₉	—	4	1	no	—
556	C₄²×C₈₉	—	4	1	no	—
557	C₄²×C₈₉	—	4	1	no	—
558	C₄²×C₈₉	—	4	1	no	—
559	C₄²×C₈₉	—	4	1	no	—
560	C₄²×C₈₉	—	4	1	no	—
561	C₄²×C₈₉	—	4	1	no	—
562	C₂³×C₈₉	—	2	1	no	—
563	C₂³×C₈₉	—	2	1	no	—
564	C₂³×C₈₉	—	2	1	no	—
565	C₂³×C₈₉	—	2	1	no	—
566	C₂³×C₈₉	—	2	8	no	—
567	C₂³×C₈₉	—	2	1	no	—
568	C₂³×C₈₉	—	2	1	no	—
569	C₂³×C₈₉	—	2	1	no	—
570	C₂³×C₈₉	—	2	1	no	—
571	C₂³×C₈₉	—	2	1	no	—
572	C₂³×C₈₉	—	2	1	no	—
573	C₂³×C₈₉	—	2	1	no	—
574	C₂³×C₈₉	—	2	1	no	—
575	C₂³×C₈₉	—	2	1	no	—
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	—	4	4	no	—
593	C₂³×C₈₉	—	4	4	no	—
594	C₂³×C₈₉	—	4	4	no	—
595	C₂³×C₈₉	—	4	4	no	—
596	C₂³×C₈₉	—	4	4	no	—
597	C₂³×C₈₉	—	4	4	no	—
598	C₂³×C₈₉	C₂×#41	1	2	yes	—
599	C₂³×C₈₉	C₂×#41	1	2	yes	—
600	C₂³×C₈₉	C₂×#41	1	2	yes	—
601	C₂³×C₈₉	C₂×#41	1	2	yes	—
602	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
603	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
604	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
605	Q₈×C₈₉	—	8	2	no	—
606	D₄×C₈₉	—	2	8	no	—
607	D₄×C₈₉	—	4	4	no	—
608	D₄×C₈₉	—	4	4	no	—
609	D₄×C₈₉	—	4	4	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	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	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	—	4	4	no	—
686	C₂×C₄×C₈₉	—	4	4	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	—	8	2	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	—	8	2	no	—
698	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
699	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
700	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
701	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
702	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
703	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
704	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
705	C₂²×C₈₉	—	2	2	no	—
706	C₂²×C₈₉	—	2	2	no	—
707	C₂²×C₈₉	—	2	2	no	—
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	16	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	—	4	1	no	—
736	C₂²×C₈₉	—	4	1	no	—
737	C₂²×C₈₉	—	4	1	no	—
738	C₂²×C₈₉	—	4	1	no	—
739	C₂²×C₈₉	—	4	1	no	—
740	C₂²×C₈₉	#529	1	4	yes	—
741	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
742	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
743	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
744	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
747	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	2	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	C₄×C₈₉	—	4	1	no	—
771	C₄×C₈₉	—	4	1	no	—
772	C₄×C₈₉	—	4	1	no	—
773	C₄×C₈₉	—	4	1	no	—
774	#35374	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
775	C₂×C₈₉	—	2	4	no	—
776	C₂×C₈₉	—	4	2	no	—
777	C₂×C₈₉	—	4	2	no	—
778	C₂×C₈₉	—	4	2	no	—
779	C₂×C₈₉	—	8	1	no	—
780	C₂×C₈₉	C₂×#529	1	1	yes	characteristic
781	C₂×C₈₉	#3490	1	1	yes	characteristic
782	C₂×C₈₉	#3492	1	1	yes	characteristic
783	C₂×C₈₉	#3519	1	1	yes	characteristic
784	C₂×C₈₉	#3519	1	1	yes	characteristic
785	C₂×C₈₉	#3520	1	1	yes	characteristic
786	C₂×C₈₉	#3520	1	1	yes	characteristic
787	#2578	C₂×C₈₉	1	1	yes	characteristic, complemented
788	#2577	C₂×C₈₉	1	1	yes	characteristic, complemented
789	#2574	C₂×C₈₉	1	1	yes	characteristic, complemented
790	#2553	C₂×C₈₉	1	1	yes	characteristic, complemented
791	#2531	C₂×C₈₉	1	1	yes	characteristic, complemented
792	#2530	C₂×C₈₉	1	1	yes	characteristic, complemented
793	#2522	C₂×C₈₉	1	1	yes	characteristic, complemented
794	#2521	C₂×C₈₉	1	1	yes	characteristic, complemented
795	#2481	C₂×C₈₉	1	1	yes	characteristic, complemented
796	#2480	C₂×C₈₉	1	1	yes	characteristic, complemented
797	#2473	C₂×C₈₉	1	1	yes	characteristic, complemented
798	#2472	C₂×C₈₉	1	1	yes	characteristic, complemented
799	#2468	C₂×C₈₉	1	1	yes	characteristic, complemented
800	#2467	C₂×C₈₉	1	1	yes	characteristic, complemented
801	#2460	C₂×C₈₉	1	1	yes	characteristic, complemented
802	#2457	C₂×C₈₉	1	1	yes	characteristic, complemented
803	#2454	C₂×C₈₉	1	1	yes	characteristic, complemented
804	#2450	C₂×C₈₉	1	1	yes	characteristic, complemented
805	#2449	C₂×C₈₉	1	1	yes	characteristic, complemented
806	#2443	C₂×C₈₉	1	1	yes	characteristic, complemented
807	#2427	C₂×C₈₉	1	1	yes	characteristic, complemented
808	#2425	C₂×C₈₉	1	1	yes	characteristic, complemented
809	#2424	C₂×C₈₉	1	1	yes	characteristic
810	#2418	C₂×C₈₉	1	1	yes	characteristic, complemented
811	#2329	C₂×C₈₉	1	1	yes	characteristic, complemented
812	#2325	C₂×C₈₉	1	1	yes	characteristic, complemented
813	#2318	C₂×C₈₉	1	1	yes	characteristic, complemented
814	C₄×#120	C₂×C₈₉	1	1	yes	characteristic, complemented
815	C₄×#120	C₂×C₈₉	1	1	yes	characteristic, complemented
816	C₂×#380	C₂×C₈₉	1	1	yes	characteristic, complemented
817	#2275	C₂×C₈₉	1	1	yes	characteristic, complemented
818	C₈₉	#35374	1	1	yes	characteristic, direct product factor, Sylow
819	C₂⁴×C₄	C₂²×C₈₉	1	1	yes	characteristic
820	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic
821	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic, complemented
822	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
823	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
824	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
825	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
826	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
827	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
828	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
829	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
830	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
831	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
832	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
833	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
834	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
835	C₂×C₄×D₄	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	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
841	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
842	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
843	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
844	#400	C₂²×C₈₉	1	1	yes	characteristic, complemented
845	#400	C₂²×C₈₉	1	1	yes	characteristic, complemented
846	#400	C₂²×C₈₉	1	1	yes	characteristic, complemented
847	#399	C₂²×C₈₉	1	1	yes	characteristic
848	#399	C₂²×C₈₉	1	1	yes	characteristic, complemented
849	#399	C₂²×C₈₉	1	1	yes	characteristic, complemented
850	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
851	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
852	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
853	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
854	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
855	#397	C₂²×C₈₉	1	1	yes	characteristic
856	#397	C₂²×C₈₉	1	1	yes	characteristic
857	#397	C₂²×C₈₉	1	1	yes	characteristic
858	#397	C₂²×C₈₉	1	1	yes	characteristic
859	#397	C₂²×C₈₉	1	1	yes	characteristic
860	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
861	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
862	#396	C₂²×C₈₉	1	1	yes	characteristic
863	#396	C₂²×C₈₉	1	1	yes	characteristic
864	#396	C₂²×C₈₉	1	1	yes	characteristic, complemented
865	#396	C₂²×C₈₉	1	1	yes	characteristic, complemented
866	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
867	#394	C₂²×C₈₉	1	1	yes	characteristic
868	#394	C₂²×C₈₉	1	1	yes	characteristic
869	#394	C₂²×C₈₉	1	1	yes	characteristic
870	#394	C₂²×C₈₉	1	1	yes	characteristic
871	#394	C₂²×C₈₉	1	1	yes	characteristic
872	#394	C₂²×C₈₉	1	1	yes	characteristic
873	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
874	#393	C₂²×C₈₉	1	1	yes	characteristic
875	#392	C₂²×C₈₉	1	1	yes	characteristic
876	#391	C₂²×C₈₉	1	1	yes	characteristic, complemented
877	#391	C₂²×C₈₉	1	1	yes	characteristic, complemented
878	#390	C₂²×C₈₉	1	1	yes	characteristic
879	#390	C₂²×C₈₉	1	1	yes	characteristic
880	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
881	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
882	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
883	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
884	#388	C₂²×C₈₉	1	1	yes	characteristic
885	#388	C₂²×C₈₉	1	1	yes	characteristic
886	#388	C₂²×C₈₉	1	1	yes	characteristic
887	#388	C₂²×C₈₉	1	1	yes	characteristic
888	#388	C₂²×C₈₉	1	1	yes	characteristic
889	#388	C₂²×C₈₉	1	1	yes	characteristic
890	#388	C₂²×C₈₉	1	1	yes	characteristic
891	#388	C₂²×C₈₉	1	1	yes	characteristic
892	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
893	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
894	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
895	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
896	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
897	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
898	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
899	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
900	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
901	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
902	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
903	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
904	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
905	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
906	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
907	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
908	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
909	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
910	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
911	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
912	#386	C₂²×C₈₉	1	1	yes	characteristic
913	#386	C₂²×C₈₉	1	1	yes	characteristic
914	#386	C₂²×C₈₉	1	1	yes	characteristic
915	#386	C₂²×C₈₉	1	1	yes	characteristic
916	#386	C₂²×C₈₉	1	1	yes	characteristic
917	#386	C₂²×C₈₉	1	1	yes	characteristic
918	#386	C₂²×C₈₉	1	1	yes	characteristic
919	#386	C₂²×C₈₉	1	1	yes	characteristic
920	#386	C₂²×C₈₉	1	1	yes	characteristic
921	#386	C₂²×C₈₉	1	1	yes	characteristic
922	#386	C₂²×C₈₉	1	1	yes	characteristic
923	#386	C₂²×C₈₉	1	1	yes	characteristic
924	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
925	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
926	#385	C₂²×C₈₉	1	1	yes	characteristic
927	#385	C₂²×C₈₉	1	1	yes	characteristic
928	#385	C₂²×C₈₉	1	1	yes	characteristic
929	#385	C₂²×C₈₉	1	1	yes	characteristic
930	#385	C₂²×C₈₉	1	1	yes	characteristic
931	#385	C₂²×C₈₉	1	1	yes	characteristic
932	#385	C₂²×C₈₉	1	1	yes	characteristic
933	#385	C₂²×C₈₉	1	1	yes	characteristic
934	#385	C₂²×C₈₉	1	1	yes	characteristic
935	#385	C₂²×C₈₉	1	1	yes	characteristic
936	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
937	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
938	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
939	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
940	#383	C₂²×C₈₉	1	1	yes	characteristic, complemented
941	#382	C₂²×C₈₉	1	1	yes	characteristic, complemented
942	#381	C₂²×C₈₉	1	1	yes	characteristic, complemented
943	#380	C₂²×C₈₉	1	1	yes	characteristic
944	#380	C₂²×C₈₉	1	1	yes	characteristic
945	#380	C₂²×C₈₉	1	1	yes	characteristic
946	#380	C₂²×C₈₉	1	1	yes	characteristic
947	#380	C₂²×C₈₉	1	1	yes	characteristic
948	#380	C₂²×C₈₉	1	1	yes	characteristic
949	#380	C₂²×C₈₉	1	1	yes	characteristic
950	#380	C₂²×C₈₉	1	1	yes	characteristic
951	#380	C₂²×C₈₉	1	1	yes	characteristic
952	#380	C₂²×C₈₉	1	1	yes	characteristic
953	#380	C₂²×C₈₉	1	1	yes	characteristic, complemented
954	#379	C₂²×C₈₉	1	1	yes	characteristic
955	#379	C₂²×C₈₉	1	1	yes	characteristic
956	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
957	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
958	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
959	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
960	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
961	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
962	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
963	C₄×C₂²⋊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, complemented
968	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
969	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	#376	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
972	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
973	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic, complemented
974	C₂⁵	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	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
983	C₂³×C₄	—	2	4	no	—
984	C₂³×C₄	—	4	2	no	—
985	C₂³×C₄	—	4	2	no	—
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	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
997	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
998	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1000	#126	—	4	2	no	—
1001	#126	—	4	2	no	—
1002	#125	—	4	2	no	—
1003	#124	—	4	2	no	—
1004	#123	—	4	2	no	—
1005	#123	—	4	2	no	—
1006	C₂²⋊Q₈	—	2	4	no	—
1007	C₂²⋊Q₈	—	4	2	no	—
1008	#121	—	2	4	no	—
1009	#121	—	4	2	no	—
1010	#120	—	2	4	no	—
1011	#120	—	2	4	no	—
1012	C₄×D₄	—	2	4	no	—
1013	C₄×D₄	—	2	4	no	—
1014	C₄×D₄	—	2	4	no	—
1015	C₄×D₄	—	2	4	no	—
1016	C₄×D₄	—	4	2	no	—
1017	C₄×D₄	—	4	2	no	—
1018	C₄×D₄	—	4	2	no	—
1019	C₄×D₄	—	4	2	no	—
1020	C₂×C₄⋊C₄	—	4	2	no	—
1021	C₂×C₄⋊C₄	—	4	2	no	—
1022	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
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×C₂²⋊C₄	—	4	2	no	—
1055	C₂×C₂²⋊C₄	—	4	2	no	—
1056	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1078	C₂×C₂²⋊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×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1101	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1102	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1103	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1104	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1106	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1107	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1108	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1109	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1110	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1111	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1112	#95	C₂³×C₈₉	1	1	yes	characteristic
1113	#95	C₂³×C₈₉	1	1	yes	characteristic
1114	#95	C₂³×C₈₉	1	1	yes	characteristic
1115	#95	C₂³×C₈₉	1	1	yes	characteristic
1116	#95	C₂³×C₈₉	1	1	yes	characteristic
1117	#95	C₂³×C₈₉	1	1	yes	characteristic
1118	#95	C₂³×C₈₉	1	1	yes	characteristic
1119	#95	C₂³×C₈₉	1	1	yes	characteristic
1120	#95	C₂³×C₈₉	1	1	yes	characteristic
1121	#95	C₂³×C₈₉	1	1	yes	characteristic
1122	#95	C₂³×C₈₉	1	1	yes	characteristic
1123	#95	C₂³×C₈₉	1	1	yes	characteristic
1124	#95	C₂³×C₈₉	1	1	yes	characteristic
1125	#95	C₂³×C₈₉	1	1	yes	characteristic
1126	#95	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	C₂⁴	—	2	2	no	—
1157	C₂⁴	—	2	2	no	—
1158	C₂⁴	—	2	2	no	—
1159	C₂⁴	—	2	2	no	—
1160	C₂⁴	—	2	2	no	—
1161	C₂⁴	—	4	1	no	—
1162	C₂⁴	—	4	1	no	—
1163	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1164	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1165	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1166	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1167	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1168	C₂×Q₈	—	2	2	no	—
1169	C₂×Q₈	—	4	1	no	—
1170	C₂×Q₈	—	4	1	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	2	no	—
1176	C₂×D₄	—	2	2	no	—
1177	C₂×D₄	—	2	2	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	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	#41×C₈₉	1	4	yes	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
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	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	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	16	no	—
1234	C₂²×C₄	#41×C₈₉	1	4	yes	—
1235	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
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	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	4	1	no	—
1283	C₄⋊C₄	—	4	1	no	—
1284	C₄⋊C₄	—	4	1	no	—
1285	C₄⋊C₄	—	4	1	no	—
1286	C₄⋊C₄	—	4	1	no	—
1287	C₄⋊C₄	—	4	1	no	—
1288	C₄⋊C₄	—	4	1	no	—
1289	C₄⋊C₄	—	4	1	no	—
1290	C₄⋊C₄	—	4	1	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	2	2	no	—
1305	C₂²⋊C₄	—	2	2	no	—
1306	C₂²⋊C₄	—	2	2	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	2	no	—
1309	C₂²⋊C₄	—	2	2	no	—
1310	C₂²⋊C₄	—	2	2	no	—
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	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	#41×C₈₉	1	4	yes	—
1337	C₄²	—	2	2	no	—
1338	C₄²	—	2	2	no	—
1339	C₄²	—	2	2	no	—
1340	C₄²	—	2	2	no	—
1341	C₄²	—	4	1	no	—
1342	C₄²	—	4	1	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	—	4	1	no	—
1345	C₄²	—	4	1	no	—
1346	C₄²	—	4	1	no	—
1347	C₄²	—	4	1	no	—
1348	C₄²	—	4	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	8	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
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	—	4	4	no	—
1380	C₂³	—	4	4	no	—
1381	C₂³	—	4	4	no	—
1382	C₂³	—	4	4	no	—
1383	C₂³	—	4	4	no	—
1384	C₂³	—	4	4	no	—
1385	C₂³	C₂×#41×C₈₉	1	2	yes	—
1386	C₂³	C₂×#41×C₈₉	1	2	yes	—
1387	C₂³	C₂×#41×C₈₉	1	2	yes	—
1388	C₂³	C₂×#41×C₈₉	1	2	yes	—
1389	C₂³	H(5,𝔽₂)×C₈₉	1	2	yes	—
1390	C₂³	2₋¹⁺⁴×C₈₉	1	2	yes	—
1391	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1392	Q₈	—	8	2	no	—
1393	D₄	—	2	8	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	4	no	—
1399	D₄	—	8	2	no	—
1400	C₂×C₄	—	2	8	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	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	4	4	no	—
1473	C₂×C₄	—	4	4	no	—
1474	C₂×C₄	—	4	4	no	—
1475	C₂×C₄	—	4	4	no	—
1476	C₂×C₄	—	4	4	no	—
1477	C₂×C₄	—	8	2	no	—
1478	C₂×C₄	—	8	2	no	—
1479	C₂×C₄	—	8	2	no	—
1480	C₂×C₄	—	8	2	no	—
1481	C₂×C₄	—	8	2	no	—
1482	C₂×C₄	—	8	2	no	—
1483	C₂×C₄	—	8	2	no	—
1484	C₂×C₄	—	8	2	no	—
1485	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1486	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1487	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1488	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1489	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1490	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
1491	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
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	—	2	2	no	—
1503	C₂²	—	2	2	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	2	2	no	—
1507	C₂²	—	4	16	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	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	#529×C₈₉	1	4	yes	—
1528	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1529	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1530	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1531	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1532	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1533	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1534	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	2	2	no	—
1541	C₄	—	2	2	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	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₂	—	2	4	no	—
1562	C₂	—	4	2	no	—
1563	C₂	—	4	2	no	—
1564	C₂	—	4	2	no	—
1565	C₂	—	8	1	no	—
1566	C₂	C₂×#529×C₈₉	1	1	yes	characteristic
1567	C₂	C₈₉×#3490	1	1	yes	characteristic
1568	C₂	C₈₉×#3492	1	1	yes	characteristic
1569	C₂	C₈₉×#3519	1	1	yes	characteristic
1570	C₂	C₈₉×#3519	1	1	yes	characteristic
1571	C₂	C₈₉×#3520	1	1	yes	characteristic
1572	C₂	C₈₉×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₈₉
prime radical	C₈₉×#2424	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. C₈₉×#2578	C₂	semidirect
2. C₈₉×#2577	C₂	semidirect
3. C₈₉×#2574	C₂	semidirect
4. C₈₉×#2553	C₂	semidirect
5. C₈₉×#2531	C₂	semidirect
6. C₈₉×#2530	C₂	semidirect
7. C₈₉×#2522	C₂	semidirect
8. C₈₉×#2521	C₂	semidirect
9. C₈₉×#2481	C₂	semidirect
10. C₈₉×#2480	C₂	semidirect
11. C₈₉×#2473	C₂	semidirect
12. C₈₉×#2472	C₂	semidirect
13. C₈₉×#2468	C₂	semidirect
14. C₈₉×#2467	C₂	semidirect
15. C₈₉×#2460	C₂	semidirect
16. C₈₉×#2457	C₂	semidirect
17. C₈₉×#2454	C₂	semidirect
18. C₈₉×#2450	C₂	semidirect
19. C₈₉×#2449	C₂	semidirect
20. C₈₉×#2443	C₂	semidirect
21. C₈₉×#2427	C₂	semidirect
22. C₈₉×#2425	C₂	semidirect
24. C₈₉×#2418	C₂	semidirect
25. C₈₉×#2329	C₂	semidirect
26. C₈₉×#2325	C₂	semidirect
27. C₈₉×#2318	C₂	semidirect
28. C₄×#120×C₈₉	C₂	semidirect
29. C₄×#120×C₈₉	C₂	semidirect
30. C₂×#380×C₈₉	C₂	semidirect
31. C₈₉×#2275	C₂	semidirect
34. C₂×#126×C₈₉	C₂²	semidirect
35. C₂×#125×C₈₉	C₂²	semidirect
38. C₂×#123×C₈₉	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
57. #400×C₈₉	C₂²	semidirect
58. #400×C₈₉	C₂²	semidirect
59. #400×C₈₉	C₂²	semidirect
61. #399×C₈₉	C₂²	semidirect
62. #399×C₈₉	C₂²	semidirect
63. #398×C₈₉	C₂²	semidirect
64. #398×C₈₉	C₂²	semidirect
65. #398×C₈₉	C₂²	semidirect
66. #398×C₈₉	C₂²	semidirect
67. #398×C₈₉	C₂²	semidirect
73. #397×C₈₉	C₂²	semidirect
74. #397×C₈₉	C₂²	semidirect
77. #396×C₈₉	C₂²	semidirect
78. #396×C₈₉	C₂²	semidirect
79. #395×C₈₉	C₂²	semidirect
86. #394×C₈₉	C₂²	semidirect
89. #391×C₈₉	C₂²	semidirect
90. #391×C₈₉	C₂²	semidirect
93. #389×C₈₉	C₂²	semidirect
94. #389×C₈₉	C₂²	semidirect
95. #389×C₈₉	C₂²	semidirect
96. #389×C₈₉	C₂²	semidirect
105. #388×C₈₉	C₂²	semidirect
106. #388×C₈₉	C₂²	semidirect
107. #388×C₈₉	C₂²	semidirect
108. #388×C₈₉	C₂²	semidirect
109. #388×C₈₉	C₂²	semidirect
110. #388×C₈₉	C₂²	semidirect
111. #387×C₈₉	C₂²	semidirect
112. #387×C₈₉	C₂²	semidirect
113. #387×C₈₉	C₂²	semidirect
114. #387×C₈₉	C₂²	semidirect
115. #387×C₈₉	C₂²	semidirect
116. #387×C₈₉	C₂²	semidirect
117. #387×C₈₉	C₂²	semidirect
118. #387×C₈₉	C₂²	semidirect
119. #387×C₈₉	C₂²	semidirect
120. #387×C₈₉	C₂²	semidirect
121. #387×C₈₉	C₂²	semidirect
122. #387×C₈₉	C₂²	semidirect
123. #387×C₈₉	C₂²	semidirect
124. #387×C₈₉	C₂²	semidirect
137. #386×C₈₉	C₂²	semidirect
138. #386×C₈₉	C₂²	semidirect
149. #385×C₈₉	C₂²	semidirect
150. #385×C₈₉	C₂²	semidirect
151. #385×C₈₉	C₂²	semidirect
152. #385×C₈₉	C₂²	semidirect
153. #383×C₈₉	C₂²	semidirect
154. #382×C₈₉	C₂²	semidirect
155. #381×C₈₉	C₂²	semidirect
166. #380×C₈₉	C₂²	semidirect
169. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
170. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
171. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
183. #376×C₈₉	C₂²	semidirect
186. C₂×#95×C₈₉	C₂²	semidirect
774. #35374	C₈₉	direct (N × H)
787. #2578	C₂×C₈₉	semidirect
788. #2577	C₂×C₈₉	semidirect
789. #2574	C₂×C₈₉	semidirect
790. #2553	C₂×C₈₉	semidirect
791. #2531	C₂×C₈₉	semidirect
792. #2530	C₂×C₈₉	semidirect
793. #2522	C₂×C₈₉	semidirect
794. #2521	C₂×C₈₉	semidirect
795. #2481	C₂×C₈₉	semidirect
796. #2480	C₂×C₈₉	semidirect
797. #2473	C₂×C₈₉	semidirect
798. #2472	C₂×C₈₉	semidirect
799. #2468	C₂×C₈₉	semidirect
800. #2467	C₂×C₈₉	semidirect
801. #2460	C₂×C₈₉	semidirect
802. #2457	C₂×C₈₉	semidirect
803. #2454	C₂×C₈₉	semidirect
804. #2450	C₂×C₈₉	semidirect
805. #2449	C₂×C₈₉	semidirect
806. #2443	C₂×C₈₉	semidirect
807. #2427	C₂×C₈₉	semidirect
808. #2425	C₂×C₈₉	semidirect
810. #2418	C₂×C₈₉	semidirect
811. #2329	C₂×C₈₉	semidirect
812. #2325	C₂×C₈₉	semidirect
813. #2318	C₂×C₈₉	semidirect
814. C₄×#120	C₂×C₈₉	semidirect
815. C₄×#120	C₂×C₈₉	semidirect
816. C₂×#380	C₂×C₈₉	semidirect
817. #2275	C₂×C₈₉	semidirect
818. C₈₉	#35374	direct (N × H)
821. C₂×#126	C₂²×C₈₉	semidirect
822. C₂×#125	C₂²×C₈₉	semidirect
825. C₂×#123	C₂²×C₈₉	semidirect
827. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
844. #400	C₂²×C₈₉	semidirect
845. #400	C₂²×C₈₉	semidirect
846. #400	C₂²×C₈₉	semidirect
848. #399	C₂²×C₈₉	semidirect
849. #399	C₂²×C₈₉	semidirect
850. #398	C₂²×C₈₉	semidirect
851. #398	C₂²×C₈₉	semidirect
852. #398	C₂²×C₈₉	semidirect
853. #398	C₂²×C₈₉	semidirect
854. #398	C₂²×C₈₉	semidirect
860. #397	C₂²×C₈₉	semidirect
861. #397	C₂²×C₈₉	semidirect
864. #396	C₂²×C₈₉	semidirect
865. #396	C₂²×C₈₉	semidirect
866. #395	C₂²×C₈₉	semidirect
873. #394	C₂²×C₈₉	semidirect
876. #391	C₂²×C₈₉	semidirect
877. #391	C₂²×C₈₉	semidirect
880. #389	C₂²×C₈₉	semidirect
881. #389	C₂²×C₈₉	semidirect
882. #389	C₂²×C₈₉	semidirect
883. #389	C₂²×C₈₉	semidirect
892. #388	C₂²×C₈₉	semidirect
893. #388	C₂²×C₈₉	semidirect
894. #388	C₂²×C₈₉	semidirect
895. #388	C₂²×C₈₉	semidirect
896. #388	C₂²×C₈₉	semidirect
897. #388	C₂²×C₈₉	semidirect
898. #387	C₂²×C₈₉	semidirect
899. #387	C₂²×C₈₉	semidirect
900. #387	C₂²×C₈₉	semidirect
901. #387	C₂²×C₈₉	semidirect
902. #387	C₂²×C₈₉	semidirect
903. #387	C₂²×C₈₉	semidirect
904. #387	C₂²×C₈₉	semidirect
905. #387	C₂²×C₈₉	semidirect
906. #387	C₂²×C₈₉	semidirect
907. #387	C₂²×C₈₉	semidirect
908. #387	C₂²×C₈₉	semidirect
909. #387	C₂²×C₈₉	semidirect
910. #387	C₂²×C₈₉	semidirect
911. #387	C₂²×C₈₉	semidirect
924. #386	C₂²×C₈₉	semidirect
925. #386	C₂²×C₈₉	semidirect
936. #385	C₂²×C₈₉	semidirect
937. #385	C₂²×C₈₉	semidirect
938. #385	C₂²×C₈₉	semidirect
939. #385	C₂²×C₈₉	semidirect
940. #383	C₂²×C₈₉	semidirect
941. #382	C₂²×C₈₉	semidirect
942. #381	C₂²×C₈₉	semidirect
953. #380	C₂²×C₈₉	semidirect
956. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
957. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
958. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
967. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
968. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
969. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
970. #376	C₂²×C₈₉	semidirect
973. C₂×#95	C₂²×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₈₉×#2578	2
C₈₉×#2577	2
C₈₉×#2574	2
C₈₉×#2553	2
C₈₉×#2531	2
C₈₉×#2530	2
C₈₉×#2522	2
C₈₉×#2521	2
C₈₉×#2481	2
C₈₉×#2480	2
C₈₉×#2473	2
C₈₉×#2472	2
C₈₉×#2468	2
C₈₉×#2467	2
C₈₉×#2460	2
C₈₉×#2457	2
C₈₉×#2454	2
C₈₉×#2450	2
C₈₉×#2449	2
C₈₉×#2443	2
C₈₉×#2427	2
C₈₉×#2425	2
C₈₉×#2424	2
C₈₉×#2418	2
C₈₉×#2329	2
C₈₉×#2325	2
C₈₉×#2318	2
C₄×#120×C₈₉	2
C₂×#380×C₈₉	2
C₈₉×#2275	2
#35374	89

Subgroups — C89×#35374 #36413222

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#35374 #36413222