Subgroups — C₈₉×#35353 #36413201

Order 22784.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#525×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#520×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2609	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2600	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2599	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#2598	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#2580	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2579	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2476	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2470	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2465	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#2458	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#2456	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2455	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2449	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2443	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, complemented
21	C₈₉×#2424	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2418	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2411	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#2407	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2406	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#2404	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#2322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₈₉×#2318	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#120×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#385×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic
33	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₈₉	C₂²	1	1	yes	characteristic
35	#525×C₈₉	—	2	8	no	—
36	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#123×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, complemented
41	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
45	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
47	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
48	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
49	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
51	#520×C₈₉	—	2	8	no	—
52	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
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×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
65	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
66	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
67	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
68	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
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, complemented
72	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
74	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
75	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
76	#399×C₈₉	C₂²	1	1	yes	characteristic
77	#399×C₈₉	C₂²	1	1	yes	characteristic, complemented
78	#399×C₈₉	C₂²	1	1	yes	characteristic, complemented
79	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
80	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
81	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
82	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
83	#397×C₈₉	C₂²	1	1	yes	characteristic
84	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
85	#396×C₈₉	C₂²	1	1	yes	characteristic
86	#396×C₈₉	C₂²	1	1	yes	characteristic
87	#396×C₈₉	C₂²	1	1	yes	characteristic
88	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
89	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
90	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
91	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
92	#394×C₈₉	C₂²	1	1	yes	characteristic
93	#394×C₈₉	C₂²	1	1	yes	characteristic
94	#394×C₈₉	C₂²	1	1	yes	characteristic
95	#394×C₈₉	C₂²	1	1	yes	characteristic
96	#394×C₈₉	C₂²	1	1	yes	characteristic
97	#394×C₈₉	C₂²	1	1	yes	characteristic
98	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
99	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
100	#393×C₈₉	C₂²	1	1	yes	characteristic
101	#393×C₈₉	C₂²	1	1	yes	characteristic
102	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
103	#392×C₈₉	C₂²	1	1	yes	characteristic
104	#392×C₈₉	C₂²	1	1	yes	characteristic
105	#392×C₈₉	C₂²	1	1	yes	characteristic
106	#392×C₈₉	C₂²	1	1	yes	characteristic, complemented
107	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
108	#390×C₈₉	C₂²	1	1	yes	characteristic
109	#390×C₈₉	C₂²	1	1	yes	characteristic
110	#390×C₈₉	C₂²	1	1	yes	characteristic
111	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#388×C₈₉	C₂²	1	1	yes	characteristic
116	#388×C₈₉	C₂²	1	1	yes	characteristic
117	#388×C₈₉	C₂²	1	1	yes	characteristic
118	#388×C₈₉	C₂²	1	1	yes	characteristic
119	#388×C₈₉	C₂²	1	1	yes	characteristic
120	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
121	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
126	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
127	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
128	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
130	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
131	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
133	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
134	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
135	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#386×C₈₉	C₂²	1	1	yes	characteristic
138	#386×C₈₉	C₂²	1	1	yes	characteristic
139	#386×C₈₉	C₂²	1	1	yes	characteristic
140	#386×C₈₉	C₂²	1	1	yes	characteristic
141	#386×C₈₉	C₂²	1	1	yes	characteristic
142	#386×C₈₉	C₂²	1	1	yes	characteristic
143	#386×C₈₉	C₂²	1	1	yes	characteristic
144	#386×C₈₉	C₂²	1	1	yes	characteristic
145	#386×C₈₉	C₂²	1	1	yes	characteristic
146	#386×C₈₉	C₂²	1	1	yes	characteristic
147	#386×C₈₉	C₂²	1	1	yes	characteristic
148	#386×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, complemented
152	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
153	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
154	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
155	#385×C₈₉	C₂²	1	1	yes	characteristic
156	#385×C₈₉	C₂²	1	1	yes	characteristic
157	#385×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, complemented
170	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
172	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#383×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#382×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#381×C₈₉	C₂²	1	1	yes	characteristic
180	#381×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#380×C₈₉	C₂²	1	1	yes	characteristic
182	#380×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#379×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
189	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
190	C₂×#41×C₈₉	—	2	4	no	—
191	C₂×#41×C₈₉	—	2	4	no	—
192	C₂×#41×C₈₉	—	2	4	no	—
193	C₂×#41×C₈₉	—	2	4	no	—
194	C₂×#41×C₈₉	—	4	2	no	—
195	C₂×#41×C₈₉	—	4	2	no	—
196	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
197	C₂²×Q₈×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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₈₉	—	2	4	no	—
211	C₂³×C₄×C₈₉	—	4	2	no	—
212	C₂³×C₄×C₈₉	—	4	2	no	—
213	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
230	#123×C₈₉	—	2	4	no	—
231	#123×C₈₉	—	2	4	no	—
232	#123×C₈₉	—	2	4	no	—
233	#123×C₈₉	—	4	2	no	—
234	#123×C₈₉	—	4	2	no	—
235	C₂²⋊Q₈×C₈₉	—	2	4	no	—
236	C₂²⋊Q₈×C₈₉	—	2	4	no	—
237	C₂²⋊Q₈×C₈₉	—	4	2	no	—
238	#121×C₈₉	—	2	4	no	—
239	#121×C₈₉	—	2	4	no	—
240	#121×C₈₉	—	2	4	no	—
241	#121×C₈₉	—	4	2	no	—
242	#120×C₈₉	—	2	4	no	—
243	#120×C₈₉	—	2	4	no	—
244	#120×C₈₉	—	2	4	no	—
245	C₄×Q₈×C₈₉	—	2	4	no	—
246	C₄×Q₈×C₈₉	—	2	4	no	—
247	C₄×D₄×C₈₉	—	2	4	no	—
248	C₄×D₄×C₈₉	—	2	4	no	—
249	C₄×D₄×C₈₉	—	2	4	no	—
250	C₄×D₄×C₈₉	—	2	4	no	—
251	C₄×D₄×C₈₉	—	2	4	no	—
252	C₄×D₄×C₈₉	—	2	4	no	—
253	C₄×D₄×C₈₉	—	2	4	no	—
254	C₄×D₄×C₈₉	—	2	4	no	—
255	C₄×D₄×C₈₉	—	4	2	no	—
256	C₄×D₄×C₈₉	—	4	2	no	—
257	C₄×D₄×C₈₉	D₄	1	8	yes	complemented
258	#117×C₈₉	—	2	4	no	—
259	#117×C₈₉	—	2	4	no	—
260	#117×C₈₉	—	2	4	no	—
261	#117×C₈₉	—	2	4	no	—
262	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
263	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
264	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
265	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
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×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₈₉	—	2	4	no	—
299	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
386	#95×C₈₉	C₂³	1	1	yes	characteristic
387	#95×C₈₉	C₂³	1	1	yes	characteristic
388	#95×C₈₉	C₂³	1	1	yes	characteristic
389	#95×C₈₉	C₂³	1	1	yes	characteristic
390	#95×C₈₉	C₂³	1	1	yes	characteristic
391	C₂⁴×C₈₉	—	2	2	no	—
392	C₂⁴×C₈₉	—	2	2	no	—
393	C₂⁴×C₈₉	—	2	2	no	—
394	C₂⁴×C₈₉	—	2	2	no	—
395	C₂⁴×C₈₉	—	2	2	no	—
396	C₂⁴×C₈₉	—	4	1	no	—
397	C₂⁴×C₈₉	—	4	1	no	—
398	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
399	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
401	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
402	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
404	#41×C₈₉	—	2	32	no	—
405	#41×C₈₉	—	4	16	no	—
406	C₂×Q₈×C₈₉	—	2	2	no	—
407	C₂×Q₈×C₈₉	—	2	2	no	—
408	C₂×Q₈×C₈₉	—	2	2	no	—
409	C₂×Q₈×C₈₉	—	2	2	no	—
410	C₂×Q₈×C₈₉	—	2	2	no	—
411	C₂×Q₈×C₈₉	—	4	1	no	—
412	C₂×D₄×C₈₉	—	2	2	no	—
413	C₂×D₄×C₈₉	—	2	2	no	—
414	C₂×D₄×C₈₉	—	2	2	no	—
415	C₂×D₄×C₈₉	—	2	2	no	—
416	C₂×D₄×C₈₉	—	2	2	no	—
417	C₂×D₄×C₈₉	—	2	2	no	—
418	C₂×D₄×C₈₉	—	2	2	no	—
419	C₂×D₄×C₈₉	—	2	2	no	—
420	C₂×D₄×C₈₉	—	2	2	no	—
421	C₂×D₄×C₈₉	—	2	2	no	—
422	C₂×D₄×C₈₉	—	2	2	no	—
423	C₂×D₄×C₈₉	—	2	2	no	—
424	C₂×D₄×C₈₉	—	2	2	no	—
425	C₂×D₄×C₈₉	—	2	2	no	—
426	C₂×D₄×C₈₉	—	2	2	no	—
427	C₂×D₄×C₈₉	—	2	2	no	—
428	C₂×D₄×C₈₉	—	2	2	no	—
429	C₂×D₄×C₈₉	—	2	2	no	—
430	C₂×D₄×C₈₉	—	2	2	no	—
431	C₂×D₄×C₈₉	—	2	2	no	—
432	C₂×D₄×C₈₉	—	2	2	no	—
433	C₂×D₄×C₈₉	—	2	2	no	—
434	C₂×D₄×C₈₉	—	2	2	no	—
435	C₂×D₄×C₈₉	—	2	2	no	—
436	C₂×D₄×C₈₉	—	2	2	no	—
437	C₂×D₄×C₈₉	—	4	1	no	—
438	C₂×D₄×C₈₉	—	4	1	no	—
439	C₂×D₄×C₈₉	—	4	1	no	—
440	C₂×D₄×C₈₉	—	4	1	no	—
441	C₂×D₄×C₈₉	—	4	1	no	—
442	C₂×D₄×C₈₉	—	4	1	no	—
443	C₂×D₄×C₈₉	—	4	1	no	—
444	C₂×D₄×C₈₉	—	4	1	no	—
445	C₂×D₄×C₈₉	—	4	1	no	—
446	C₂×D₄×C₈₉	C₂×D₄	1	4	yes	—
447	C₂×D₄×C₈₉	#41	1	4	yes	complemented
448	C₂²×C₄×C₈₉	—	2	2	no	—
449	C₂²×C₄×C₈₉	—	2	2	no	—
450	C₂²×C₄×C₈₉	—	2	2	no	—
451	C₂²×C₄×C₈₉	—	2	2	no	—
452	C₂²×C₄×C₈₉	—	2	2	no	—
453	C₂²×C₄×C₈₉	—	2	2	no	—
454	C₂²×C₄×C₈₉	—	2	2	no	—
455	C₂²×C₄×C₈₉	—	2	2	no	—
456	C₂²×C₄×C₈₉	—	2	2	no	—
457	C₂²×C₄×C₈₉	—	2	2	no	—
458	C₂²×C₄×C₈₉	—	2	2	no	—
459	C₂²×C₄×C₈₉	—	2	2	no	—
460	C₂²×C₄×C₈₉	—	2	2	no	—
461	C₂²×C₄×C₈₉	—	2	2	no	—
462	C₂²×C₄×C₈₉	—	2	2	no	—
463	C₂²×C₄×C₈₉	—	2	2	no	—
464	C₂²×C₄×C₈₉	—	2	2	no	—
465	C₂²×C₄×C₈₉	—	2	2	no	—
466	C₂²×C₄×C₈₉	—	2	2	no	—
467	C₂²×C₄×C₈₉	—	2	2	no	—
468	C₂²×C₄×C₈₉	—	2	2	no	—
469	C₂²×C₄×C₈₉	—	2	2	no	—
470	C₂²×C₄×C₈₉	—	2	2	no	—
471	C₂²×C₄×C₈₉	—	2	2	no	—
472	C₂²×C₄×C₈₉	—	2	2	no	—
473	C₂²×C₄×C₈₉	—	4	1	no	—
474	C₂²×C₄×C₈₉	—	4	1	no	—
475	C₂²×C₄×C₈₉	—	4	1	no	—
476	C₂²×C₄×C₈₉	—	4	1	no	—
477	C₂²×C₄×C₈₉	—	4	1	no	—
478	C₂²×C₄×C₈₉	—	4	1	no	—
479	C₂²×C₄×C₈₉	—	4	1	no	—
480	C₂²×C₄×C₈₉	—	4	1	no	—
481	C₂²×C₄×C₈₉	—	4	1	no	—
482	C₂²×C₄×C₈₉	—	4	1	no	—
483	C₂²×C₄×C₈₉	—	4	1	no	—
484	C₂²×C₄×C₈₉	—	4	1	no	—
485	C₂²×C₄×C₈₉	—	4	1	no	—
486	C₂²×C₄×C₈₉	—	4	1	no	—
487	C₂²×C₄×C₈₉	—	4	1	no	—
488	C₂²×C₄×C₈₉	—	4	1	no	—
489	C₂²×C₄×C₈₉	—	4	1	no	—
490	C₂²×C₄×C₈₉	—	4	1	no	—
491	C₂²×C₄×C₈₉	—	4	1	no	—
492	C₂²×C₄×C₈₉	—	4	1	no	—
493	C₂²×C₄×C₈₉	—	4	1	no	—
494	C₂²×C₄×C₈₉	—	4	1	no	—
495	C₂²×C₄×C₈₉	—	4	1	no	—
496	C₂²×C₄×C₈₉	—	4	16	no	—
497	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
498	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
499	C₂²×C₄×C₈₉	#41	1	4	yes	complemented
500	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
525	C₄⋊C₄×C₈₉	—	2	2	no	—
526	C₄⋊C₄×C₈₉	—	2	2	no	—
527	C₄⋊C₄×C₈₉	—	2	2	no	—
528	C₄⋊C₄×C₈₉	—	2	2	no	—
529	C₄⋊C₄×C₈₉	—	2	2	no	—
530	C₄⋊C₄×C₈₉	—	2	2	no	—
531	C₄⋊C₄×C₈₉	—	2	2	no	—
532	C₄⋊C₄×C₈₉	—	2	2	no	—
533	C₄⋊C₄×C₈₉	—	2	2	no	—
534	C₄⋊C₄×C₈₉	—	2	2	no	—
535	C₄⋊C₄×C₈₉	—	2	2	no	—
536	C₄⋊C₄×C₈₉	—	2	2	no	—
537	C₄⋊C₄×C₈₉	—	2	2	no	—
538	C₄⋊C₄×C₈₉	—	2	2	no	—
539	C₄⋊C₄×C₈₉	—	2	2	no	—
540	C₄⋊C₄×C₈₉	—	2	2	no	—
541	C₄⋊C₄×C₈₉	—	2	2	no	—
542	C₄⋊C₄×C₈₉	—	2	2	no	—
543	C₄⋊C₄×C₈₉	—	2	2	no	—
544	C₄⋊C₄×C₈₉	—	2	2	no	—
545	C₄⋊C₄×C₈₉	—	4	1	no	—
546	C₄⋊C₄×C₈₉	—	4	1	no	—
547	C₄⋊C₄×C₈₉	—	4	1	no	—
548	C₄⋊C₄×C₈₉	—	4	1	no	—
549	C₄⋊C₄×C₈₉	—	4	1	no	—
550	C₄⋊C₄×C₈₉	—	4	1	no	—
551	C₄⋊C₄×C₈₉	—	4	1	no	—
552	C₄⋊C₄×C₈₉	—	4	1	no	—
553	C₄⋊C₄×C₈₉	—	4	1	no	—
554	C₄⋊C₄×C₈₉	—	4	1	no	—
555	C₄⋊C₄×C₈₉	—	4	1	no	—
556	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
557	C₂²⋊C₄×C₈₉	—	2	2	no	—
558	C₂²⋊C₄×C₈₉	—	2	2	no	—
559	C₂²⋊C₄×C₈₉	—	2	2	no	—
560	C₂²⋊C₄×C₈₉	—	2	2	no	—
561	C₂²⋊C₄×C₈₉	—	2	2	no	—
562	C₂²⋊C₄×C₈₉	—	2	2	no	—
563	C₂²⋊C₄×C₈₉	—	2	2	no	—
564	C₂²⋊C₄×C₈₉	—	2	2	no	—
565	C₂²⋊C₄×C₈₉	—	2	2	no	—
566	C₂²⋊C₄×C₈₉	—	2	2	no	—
567	C₂²⋊C₄×C₈₉	—	2	2	no	—
568	C₂²⋊C₄×C₈₉	—	2	2	no	—
569	C₂²⋊C₄×C₈₉	—	2	2	no	—
570	C₂²⋊C₄×C₈₉	—	2	2	no	—
571	C₂²⋊C₄×C₈₉	—	2	2	no	—
572	C₂²⋊C₄×C₈₉	—	2	2	no	—
573	C₂²⋊C₄×C₈₉	—	2	2	no	—
574	C₂²⋊C₄×C₈₉	—	2	2	no	—
575	C₂²⋊C₄×C₈₉	—	2	2	no	—
576	C₂²⋊C₄×C₈₉	—	2	2	no	—
577	C₂²⋊C₄×C₈₉	—	2	2	no	—
578	C₂²⋊C₄×C₈₉	—	2	2	no	—
579	C₂²⋊C₄×C₈₉	—	2	2	no	—
580	C₂²⋊C₄×C₈₉	—	2	2	no	—
581	C₂²⋊C₄×C₈₉	—	2	2	no	—
582	C₂²⋊C₄×C₈₉	—	2	2	no	—
583	C₂²⋊C₄×C₈₉	—	2	2	no	—
584	C₂²⋊C₄×C₈₉	—	2	2	no	—
585	C₂²⋊C₄×C₈₉	—	2	2	no	—
586	C₂²⋊C₄×C₈₉	—	4	1	no	—
587	C₂²⋊C₄×C₈₉	—	4	1	no	—
588	C₂²⋊C₄×C₈₉	—	4	1	no	—
589	C₂²⋊C₄×C₈₉	—	4	1	no	—
590	C₂²⋊C₄×C₈₉	—	4	1	no	—
591	C₂²⋊C₄×C₈₉	—	4	1	no	—
592	C₂²⋊C₄×C₈₉	—	4	1	no	—
593	C₂²⋊C₄×C₈₉	—	4	1	no	—
594	C₂²⋊C₄×C₈₉	—	4	1	no	—
595	C₂²⋊C₄×C₈₉	—	4	1	no	—
596	C₂²⋊C₄×C₈₉	—	4	1	no	—
597	C₂²⋊C₄×C₈₉	—	4	1	no	—
598	C₂²⋊C₄×C₈₉	—	4	1	no	—
599	C₂²⋊C₄×C₈₉	—	4	1	no	—
600	C₂²⋊C₄×C₈₉	—	4	1	no	—
601	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
602	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
603	C₄²×C₈₉	—	2	2	no	—
604	C₄²×C₈₉	—	2	2	no	—
605	C₄²×C₈₉	—	2	2	no	—
606	C₄²×C₈₉	—	2	2	no	—
607	C₄²×C₈₉	—	2	2	no	—
608	C₄²×C₈₉	—	2	2	no	—
609	C₄²×C₈₉	—	4	1	no	—
610	C₄²×C₈₉	—	4	1	no	—
611	C₄²×C₈₉	C₂×D₄	1	4	yes	—
612	C₂³×C₈₉	—	2	1	no	—
613	C₂³×C₈₉	—	2	1	no	—
614	C₂³×C₈₉	—	2	1	no	—
615	C₂³×C₈₉	—	2	1	no	—
616	C₂³×C₈₉	—	2	8	no	—
617	C₂³×C₈₉	—	2	1	no	—
618	C₂³×C₈₉	—	2	1	no	—
619	C₂³×C₈₉	—	2	1	no	—
620	C₂³×C₈₉	—	2	1	no	—
621	C₂³×C₈₉	—	2	1	no	—
622	C₂³×C₈₉	—	2	1	no	—
623	C₂³×C₈₉	—	2	1	no	—
624	C₂³×C₈₉	—	2	1	no	—
625	C₂³×C₈₉	—	2	1	no	—
626	C₂³×C₈₉	—	2	1	no	—
627	C₂³×C₈₉	—	2	1	no	—
628	C₂³×C₈₉	—	2	1	no	—
629	C₂³×C₈₉	—	2	1	no	—
630	C₂³×C₈₉	—	2	1	no	—
631	C₂³×C₈₉	—	2	1	no	—
632	C₂³×C₈₉	—	2	1	no	—
633	C₂³×C₈₉	—	2	1	no	—
634	C₂³×C₈₉	—	2	1	no	—
635	C₂³×C₈₉	—	2	1	no	—
636	C₂³×C₈₉	—	2	1	no	—
637	C₂³×C₈₉	—	2	1	no	—
638	C₂³×C₈₉	—	2	1	no	—
639	C₂³×C₈₉	—	2	1	no	—
640	C₂³×C₈₉	—	2	1	no	—
641	C₂³×C₈₉	—	2	1	no	—
642	C₂³×C₈₉	—	2	1	no	—
643	C₂³×C₈₉	—	2	1	no	—
644	C₂³×C₈₉	—	2	1	no	—
645	C₂³×C₈₉	—	2	1	no	—
646	C₂³×C₈₉	—	2	1	no	—
647	C₂³×C₈₉	—	2	1	no	—
648	C₂³×C₈₉	—	4	4	no	—
649	C₂³×C₈₉	—	4	4	no	—
650	C₂³×C₈₉	—	4	4	no	—
651	C₂³×C₈₉	—	4	4	no	—
652	C₂³×C₈₉	—	4	4	no	—
653	C₂³×C₈₉	—	4	4	no	—
654	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
655	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
656	C₂³×C₈₉	C₂×#41	1	2	yes	—
657	C₂³×C₈₉	C₂×#41	1	2	yes	—
658	C₂³×C₈₉	C₂×#41	1	2	yes	—
659	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
660	C₂³×C₈₉	2₋¹⁺⁴	1	2	yes	—
661	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
662	Q₈×C₈₉	—	2	8	no	—
663	Q₈×C₈₉	—	4	4	no	—
664	D₄×C₈₉	—	2	8	no	—
665	D₄×C₈₉	—	2	8	no	—
666	D₄×C₈₉	—	2	8	no	—
667	D₄×C₈₉	—	4	4	no	—
668	D₄×C₈₉	—	4	4	no	—
669	D₄×C₈₉	—	4	4	no	—
670	D₄×C₈₉	—	4	4	no	—
671	D₄×C₈₉	—	4	4	no	—
672	D₄×C₈₉	—	4	4	no	—
673	D₄×C₈₉	—	4	4	no	—
674	D₄×C₈₉	—	4	4	no	—
675	D₄×C₈₉	—	8	2	no	—
676	C₂×C₄×C₈₉	—	2	8	no	—
677	C₂×C₄×C₈₉	—	2	8	no	—
678	C₂×C₄×C₈₉	—	2	8	no	—
679	C₂×C₄×C₈₉	—	2	8	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	—	2	1	no	—
688	C₂×C₄×C₈₉	—	2	1	no	—
689	C₂×C₄×C₈₉	—	2	1	no	—
690	C₂×C₄×C₈₉	—	2	1	no	—
691	C₂×C₄×C₈₉	—	2	1	no	—
692	C₂×C₄×C₈₉	—	2	1	no	—
693	C₂×C₄×C₈₉	—	2	1	no	—
694	C₂×C₄×C₈₉	—	2	1	no	—
695	C₂×C₄×C₈₉	—	2	1	no	—
696	C₂×C₄×C₈₉	—	2	1	no	—
697	C₂×C₄×C₈₉	—	2	1	no	—
698	C₂×C₄×C₈₉	—	2	1	no	—
699	C₂×C₄×C₈₉	—	2	1	no	—
700	C₂×C₄×C₈₉	—	2	1	no	—
701	C₂×C₄×C₈₉	—	2	1	no	—
702	C₂×C₄×C₈₉	—	2	1	no	—
703	C₂×C₄×C₈₉	—	2	1	no	—
704	C₂×C₄×C₈₉	—	2	1	no	—
705	C₂×C₄×C₈₉	—	2	1	no	—
706	C₂×C₄×C₈₉	—	2	1	no	—
707	C₂×C₄×C₈₉	—	2	1	no	—
708	C₂×C₄×C₈₉	—	2	1	no	—
709	C₂×C₄×C₈₉	—	2	1	no	—
710	C₂×C₄×C₈₉	—	2	1	no	—
711	C₂×C₄×C₈₉	—	2	1	no	—
712	C₂×C₄×C₈₉	—	2	1	no	—
713	C₂×C₄×C₈₉	—	2	1	no	—
714	C₂×C₄×C₈₉	—	2	1	no	—
715	C₂×C₄×C₈₉	—	2	1	no	—
716	C₂×C₄×C₈₉	—	2	1	no	—
717	C₂×C₄×C₈₉	—	2	1	no	—
718	C₂×C₄×C₈₉	—	2	1	no	—
719	C₂×C₄×C₈₉	—	2	1	no	—
720	C₂×C₄×C₈₉	—	2	1	no	—
721	C₂×C₄×C₈₉	—	2	1	no	—
722	C₂×C₄×C₈₉	—	2	1	no	—
723	C₂×C₄×C₈₉	—	2	1	no	—
724	C₂×C₄×C₈₉	—	2	1	no	—
725	C₂×C₄×C₈₉	—	2	1	no	—
726	C₂×C₄×C₈₉	—	2	1	no	—
727	C₂×C₄×C₈₉	—	2	1	no	—
728	C₂×C₄×C₈₉	—	2	1	no	—
729	C₂×C₄×C₈₉	—	2	1	no	—
730	C₂×C₄×C₈₉	—	2	1	no	—
731	C₂×C₄×C₈₉	—	2	1	no	—
732	C₂×C₄×C₈₉	—	2	1	no	—
733	C₂×C₄×C₈₉	—	2	1	no	—
734	C₂×C₄×C₈₉	—	2	1	no	—
735	C₂×C₄×C₈₉	—	2	1	no	—
736	C₂×C₄×C₈₉	—	2	1	no	—
737	C₂×C₄×C₈₉	—	2	1	no	—
738	C₂×C₄×C₈₉	—	2	1	no	—
739	C₂×C₄×C₈₉	—	2	1	no	—
740	C₂×C₄×C₈₉	—	2	1	no	—
741	C₂×C₄×C₈₉	—	2	1	no	—
742	C₂×C₄×C₈₉	—	2	1	no	—
743	C₂×C₄×C₈₉	—	2	1	no	—
744	C₂×C₄×C₈₉	—	2	1	no	—
745	C₂×C₄×C₈₉	—	2	1	no	—
746	C₂×C₄×C₈₉	—	4	4	no	—
747	C₂×C₄×C₈₉	—	4	4	no	—
748	C₂×C₄×C₈₉	—	4	4	no	—
749	C₂×C₄×C₈₉	—	4	4	no	—
750	C₂×C₄×C₈₉	—	4	4	no	—
751	C₂×C₄×C₈₉	—	4	4	no	—
752	C₂×C₄×C₈₉	—	4	4	no	—
753	C₂×C₄×C₈₉	—	4	4	no	—
754	C₂×C₄×C₈₉	—	8	2	no	—
755	C₂×C₄×C₈₉	—	8	2	no	—
756	C₂×C₄×C₈₉	—	8	2	no	—
757	C₂×C₄×C₈₉	—	8	2	no	—
758	C₂×C₄×C₈₉	—	8	2	no	—
759	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
760	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
761	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
762	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
763	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
764	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
765	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
766	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
767	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
768	C₂²×C₈₉	—	2	2	no	—
769	C₂²×C₈₉	—	2	2	no	—
770	C₂²×C₈₉	—	2	2	no	—
771	C₂²×C₈₉	—	2	2	no	—
772	C₂²×C₈₉	—	2	2	no	—
773	C₂²×C₈₉	—	2	2	no	—
774	C₂²×C₈₉	—	2	2	no	—
775	C₂²×C₈₉	—	2	2	no	—
776	C₂²×C₈₉	—	2	2	no	—
777	C₂²×C₈₉	—	2	2	no	—
778	C₂²×C₈₉	—	2	2	no	—
779	C₂²×C₈₉	—	2	2	no	—
780	C₂²×C₈₉	—	2	2	no	—
781	C₂²×C₈₉	—	2	2	no	—
782	C₂²×C₈₉	—	2	2	no	—
783	C₂²×C₈₉	—	2	2	no	—
784	C₂²×C₈₉	—	2	2	no	—
785	C₂²×C₈₉	—	2	2	no	—
786	C₂²×C₈₉	—	4	16	no	—
787	C₂²×C₈₉	—	4	1	no	—
788	C₂²×C₈₉	—	4	1	no	—
789	C₂²×C₈₉	—	4	1	no	—
790	C₂²×C₈₉	—	4	1	no	—
791	C₂²×C₈₉	—	4	1	no	—
792	C₂²×C₈₉	—	4	1	no	—
793	C₂²×C₈₉	—	4	1	no	—
794	C₂²×C₈₉	—	4	1	no	—
795	C₂²×C₈₉	—	4	1	no	—
796	C₂²×C₈₉	—	4	1	no	—
797	C₂²×C₈₉	—	4	1	no	—
798	C₂²×C₈₉	—	4	1	no	—
799	C₂²×C₈₉	—	4	1	no	—
800	C₂²×C₈₉	—	4	1	no	—
801	C₂²×C₈₉	—	4	1	no	—
802	C₂²×C₈₉	—	4	1	no	—
803	C₂²×C₈₉	—	4	1	no	—
804	C₂²×C₈₉	—	4	1	no	—
805	C₂²×C₈₉	—	4	1	no	—
806	C₂²×C₈₉	—	4	1	no	—
807	C₂²×C₈₉	—	4	1	no	—
808	C₂²×C₈₉	—	4	1	no	—
809	C₂²×C₈₉	—	4	1	no	—
810	C₂²×C₈₉	#525	1	4	yes	—
811	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
812	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
813	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
814	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
815	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
816	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
817	C₂²×C₈₉	#585	1	1	yes	characteristic
818	C₄×C₈₉	—	2	2	no	—
819	C₄×C₈₉	—	2	2	no	—
820	C₄×C₈₉	—	2	2	no	—
821	C₄×C₈₉	—	2	2	no	—
822	C₄×C₈₉	—	2	2	no	—
823	C₄×C₈₉	—	2	2	no	—
824	C₄×C₈₉	—	2	2	no	—
825	C₄×C₈₉	—	2	2	no	—
826	C₄×C₈₉	—	2	2	no	—
827	C₄×C₈₉	—	4	1	no	—
828	C₄×C₈₉	—	4	1	no	—
829	C₄×C₈₉	—	4	1	no	—
830	C₄×C₈₉	—	4	1	no	—
831	C₄×C₈₉	—	4	1	no	—
832	C₄×C₈₉	—	4	1	no	—
833	C₄×C₈₉	—	4	1	no	—
834	C₄×C₈₉	—	4	1	no	—
835	C₄×C₈₉	—	4	1	no	—
836	C₄×C₈₉	—	4	1	no	—
837	C₄×C₈₉	—	4	1	no	—
838	C₄×C₈₉	—	4	1	no	—
839	C₄×C₈₉	—	4	1	no	—
840	C₄×C₈₉	—	4	1	no	—
841	C₄×C₈₉	—	4	1	no	—
842	C₄×C₈₉	—	4	1	no	—
843	#35353	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
844	C₂×C₈₉	—	2	4	no	—
845	C₂×C₈₉	—	4	2	no	—
846	C₂×C₈₉	—	4	2	no	—
847	C₂×C₈₉	—	4	2	no	—
848	C₂×C₈₉	—	4	2	no	—
849	C₂×C₈₉	—	8	1	no	—
850	C₂×C₈₉	C₂×#525	1	1	yes	characteristic
851	C₂×C₈₉	#3484	1	1	yes	characteristic
852	C₂×C₈₉	#3489	1	1	yes	characteristic
853	C₂×C₈₉	#3492	1	1	yes	characteristic
854	C₂×C₈₉	#3506	1	1	yes	characteristic
855	C₂×C₈₉	#3513	1	1	yes	characteristic
856	C₂×C₈₉	#3520	1	1	yes	characteristic
857	C₂×#525	C₂×C₈₉	1	1	yes	characteristic, complemented
858	C₂×#520	C₂×C₈₉	1	1	yes	characteristic, complemented
859	#2609	C₂×C₈₉	1	1	yes	characteristic, complemented
860	#2600	C₂×C₈₉	1	1	yes	characteristic, complemented
861	#2599	C₂×C₈₉	1	1	yes	characteristic, complemented
862	#2598	C₂×C₈₉	1	1	yes	characteristic, complemented
863	#2580	C₂×C₈₉	1	1	yes	characteristic, complemented
864	#2579	C₂×C₈₉	1	1	yes	characteristic, complemented
865	#2476	C₂×C₈₉	1	1	yes	characteristic, complemented
866	#2470	C₂×C₈₉	1	1	yes	characteristic, complemented
867	#2465	C₂×C₈₉	1	1	yes	characteristic, complemented
868	#2458	C₂×C₈₉	1	1	yes	characteristic, complemented
869	#2456	C₂×C₈₉	1	1	yes	characteristic, complemented
870	#2455	C₂×C₈₉	1	1	yes	characteristic, complemented
871	#2449	C₂×C₈₉	1	1	yes	characteristic, complemented
872	#2449	C₂×C₈₉	1	1	yes	characteristic, complemented
873	#2443	C₂×C₈₉	1	1	yes	characteristic, complemented
874	#2443	C₂×C₈₉	1	1	yes	characteristic, complemented
875	#2438	C₂×C₈₉	1	1	yes	characteristic, complemented
876	#2430	C₂×C₈₉	1	1	yes	characteristic, complemented
877	#2424	C₂×C₈₉	1	1	yes	characteristic, complemented
878	#2418	C₂×C₈₉	1	1	yes	characteristic, complemented
879	#2411	C₂×C₈₉	1	1	yes	characteristic, complemented
880	#2407	C₂×C₈₉	1	1	yes	characteristic, complemented
881	#2406	C₂×C₈₉	1	1	yes	characteristic, complemented
882	#2404	C₂×C₈₉	1	1	yes	characteristic, complemented
883	#2325	C₂×C₈₉	1	1	yes	characteristic, complemented
884	#2322	C₂×C₈₉	1	1	yes	characteristic, complemented
885	#2318	C₂×C₈₉	1	1	yes	characteristic, complemented
886	C₄×#120	C₂×C₈₉	1	1	yes	characteristic, complemented
887	C₂×#385	C₂×C₈₉	1	1	yes	characteristic, complemented
888	C₈₉	#35353	1	1	yes	characteristic, direct product factor, Sylow
889	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic
890	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic
891	C₂⁴×C₄	C₂²×C₈₉	1	1	yes	characteristic
892	#525	—	2	8	no	—
893	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
894	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
895	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
896	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic
897	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
898	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
899	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
900	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
901	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
902	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
903	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
904	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
905	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
906	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
907	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
908	#520	—	2	8	no	—
909	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
910	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
911	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
912	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
913	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
914	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
915	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
916	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
917	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
918	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
919	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
920	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
921	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
922	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
923	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
924	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
925	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
926	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
927	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
928	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
929	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
930	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
931	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
932	#400	C₂²×C₈₉	1	1	yes	characteristic, complemented
933	#399	C₂²×C₈₉	1	1	yes	characteristic
934	#399	C₂²×C₈₉	1	1	yes	characteristic, complemented
935	#399	C₂²×C₈₉	1	1	yes	characteristic, complemented
936	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
937	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
938	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
939	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
940	#397	C₂²×C₈₉	1	1	yes	characteristic
941	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
942	#396	C₂²×C₈₉	1	1	yes	characteristic
943	#396	C₂²×C₈₉	1	1	yes	characteristic
944	#396	C₂²×C₈₉	1	1	yes	characteristic
945	#396	C₂²×C₈₉	1	1	yes	characteristic, complemented
946	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
947	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
948	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
949	#394	C₂²×C₈₉	1	1	yes	characteristic
950	#394	C₂²×C₈₉	1	1	yes	characteristic
951	#394	C₂²×C₈₉	1	1	yes	characteristic
952	#394	C₂²×C₈₉	1	1	yes	characteristic
953	#394	C₂²×C₈₉	1	1	yes	characteristic
954	#394	C₂²×C₈₉	1	1	yes	characteristic
955	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
957	#393	C₂²×C₈₉	1	1	yes	characteristic
958	#393	C₂²×C₈₉	1	1	yes	characteristic
959	#393	C₂²×C₈₉	1	1	yes	characteristic, complemented
960	#392	C₂²×C₈₉	1	1	yes	characteristic
961	#392	C₂²×C₈₉	1	1	yes	characteristic
962	#392	C₂²×C₈₉	1	1	yes	characteristic
963	#392	C₂²×C₈₉	1	1	yes	characteristic, complemented
964	#391	C₂²×C₈₉	1	1	yes	characteristic, complemented
965	#390	C₂²×C₈₉	1	1	yes	characteristic
966	#390	C₂²×C₈₉	1	1	yes	characteristic
967	#390	C₂²×C₈₉	1	1	yes	characteristic
968	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
969	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
972	#388	C₂²×C₈₉	1	1	yes	characteristic
973	#388	C₂²×C₈₉	1	1	yes	characteristic
974	#388	C₂²×C₈₉	1	1	yes	characteristic
975	#388	C₂²×C₈₉	1	1	yes	characteristic
976	#388	C₂²×C₈₉	1	1	yes	characteristic
977	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
978	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
979	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
982	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
983	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
984	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
985	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
989	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
991	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
992	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
993	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
994	#386	C₂²×C₈₉	1	1	yes	characteristic
995	#386	C₂²×C₈₉	1	1	yes	characteristic
996	#386	C₂²×C₈₉	1	1	yes	characteristic
997	#386	C₂²×C₈₉	1	1	yes	characteristic
998	#386	C₂²×C₈₉	1	1	yes	characteristic
999	#386	C₂²×C₈₉	1	1	yes	characteristic
1000	#386	C₂²×C₈₉	1	1	yes	characteristic
1001	#386	C₂²×C₈₉	1	1	yes	characteristic
1002	#386	C₂²×C₈₉	1	1	yes	characteristic
1003	#386	C₂²×C₈₉	1	1	yes	characteristic
1004	#386	C₂²×C₈₉	1	1	yes	characteristic
1005	#386	C₂²×C₈₉	1	1	yes	characteristic
1006	#386	C₂²×C₈₉	1	1	yes	characteristic
1007	#386	C₂²×C₈₉	1	1	yes	characteristic
1008	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1009	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1011	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#385	C₂²×C₈₉	1	1	yes	characteristic
1013	#385	C₂²×C₈₉	1	1	yes	characteristic
1014	#385	C₂²×C₈₉	1	1	yes	characteristic
1015	#385	C₂²×C₈₉	1	1	yes	characteristic
1016	#385	C₂²×C₈₉	1	1	yes	characteristic
1017	#385	C₂²×C₈₉	1	1	yes	characteristic
1018	#385	C₂²×C₈₉	1	1	yes	characteristic
1019	#385	C₂²×C₈₉	1	1	yes	characteristic
1020	#385	C₂²×C₈₉	1	1	yes	characteristic
1021	#385	C₂²×C₈₉	1	1	yes	characteristic
1022	#385	C₂²×C₈₉	1	1	yes	characteristic
1023	#385	C₂²×C₈₉	1	1	yes	characteristic
1024	#385	C₂²×C₈₉	1	1	yes	characteristic
1025	#385	C₂²×C₈₉	1	1	yes	characteristic
1026	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1027	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1028	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1029	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1030	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1031	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1032	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1033	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1034	#383	C₂²×C₈₉	1	1	yes	characteristic, complemented
1035	#382	C₂²×C₈₉	1	1	yes	characteristic, complemented
1036	#381	C₂²×C₈₉	1	1	yes	characteristic
1037	#381	C₂²×C₈₉	1	1	yes	characteristic, complemented
1038	#380	C₂²×C₈₉	1	1	yes	characteristic
1039	#380	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	#379	C₂²×C₈₉	1	1	yes	characteristic
1041	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1042	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1043	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1044	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
1045	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
1046	C₂⁵	C₂³×C₈₉	1	1	yes	characteristic
1047	C₂×#41	—	2	4	no	—
1048	C₂×#41	—	2	4	no	—
1049	C₂×#41	—	2	4	no	—
1050	C₂×#41	—	2	4	no	—
1051	C₂×#41	—	4	2	no	—
1052	C₂×#41	—	4	2	no	—
1053	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1054	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1055	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1056	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1057	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1058	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1059	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1060	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1061	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1062	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1063	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1064	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1065	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1066	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1067	C₂³×C₄	—	2	4	no	—
1068	C₂³×C₄	—	4	2	no	—
1069	C₂³×C₄	—	4	2	no	—
1070	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1071	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1073	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1075	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1077	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1078	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1079	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1081	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1082	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1083	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1084	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1085	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1086	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1087	#123	—	2	4	no	—
1088	#123	—	2	4	no	—
1089	#123	—	2	4	no	—
1090	#123	—	4	2	no	—
1091	#123	—	4	2	no	—
1092	C₂²⋊Q₈	—	2	4	no	—
1093	C₂²⋊Q₈	—	2	4	no	—
1094	C₂²⋊Q₈	—	4	2	no	—
1095	#121	—	2	4	no	—
1096	#121	—	2	4	no	—
1097	#121	—	2	4	no	—
1098	#121	—	4	2	no	—
1099	#120	—	2	4	no	—
1100	#120	—	2	4	no	—
1101	#120	—	2	4	no	—
1102	C₄×Q₈	—	2	4	no	—
1103	C₄×Q₈	—	2	4	no	—
1104	C₄×D₄	—	2	4	no	—
1105	C₄×D₄	—	2	4	no	—
1106	C₄×D₄	—	2	4	no	—
1107	C₄×D₄	—	2	4	no	—
1108	C₄×D₄	—	2	4	no	—
1109	C₄×D₄	—	2	4	no	—
1110	C₄×D₄	—	2	4	no	—
1111	C₄×D₄	—	2	4	no	—
1112	C₄×D₄	—	4	2	no	—
1113	C₄×D₄	—	4	2	no	—
1114	C₄×D₄	D₄×C₈₉	1	8	yes	complemented
1115	#117	—	2	4	no	—
1116	#117	—	2	4	no	—
1117	#117	—	2	4	no	—
1118	#117	—	2	4	no	—
1119	C₂×C₄⋊C₄	—	2	4	no	—
1120	C₂×C₄⋊C₄	—	2	4	no	—
1121	C₂×C₄⋊C₄	—	2	4	no	—
1122	C₂×C₄⋊C₄	—	4	2	no	—
1123	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1125	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1126	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1128	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1130	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1131	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1132	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1133	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1134	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1136	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1138	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1139	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1140	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1141	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1143	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1145	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1146	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1147	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	—	2	4	no	—
1156	C₂×C₂²⋊C₄	—	4	2	no	—
1157	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1203	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1204	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1205	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1206	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1207	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1208	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1209	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1210	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1211	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1212	#95	C₂³×C₈₉	1	1	yes	characteristic
1213	#95	C₂³×C₈₉	1	1	yes	characteristic
1214	#95	C₂³×C₈₉	1	1	yes	characteristic
1215	#95	C₂³×C₈₉	1	1	yes	characteristic
1216	#95	C₂³×C₈₉	1	1	yes	characteristic
1217	#95	C₂³×C₈₉	1	1	yes	characteristic
1218	#95	C₂³×C₈₉	1	1	yes	characteristic
1219	#95	C₂³×C₈₉	1	1	yes	characteristic
1220	#95	C₂³×C₈₉	1	1	yes	characteristic
1221	#95	C₂³×C₈₉	1	1	yes	characteristic
1222	#95	C₂³×C₈₉	1	1	yes	characteristic
1223	#95	C₂³×C₈₉	1	1	yes	characteristic
1224	#95	C₂³×C₈₉	1	1	yes	characteristic
1225	#95	C₂³×C₈₉	1	1	yes	characteristic
1226	#95	C₂³×C₈₉	1	1	yes	characteristic
1227	#95	C₂³×C₈₉	1	1	yes	characteristic
1228	#95	C₂³×C₈₉	1	1	yes	characteristic
1229	#95	C₂³×C₈₉	1	1	yes	characteristic
1230	#95	C₂³×C₈₉	1	1	yes	characteristic
1231	#95	C₂³×C₈₉	1	1	yes	characteristic
1232	#95	C₂³×C₈₉	1	1	yes	characteristic
1233	#95	C₂³×C₈₉	1	1	yes	characteristic
1234	#95	C₂³×C₈₉	1	1	yes	characteristic
1235	#95	C₂³×C₈₉	1	1	yes	characteristic
1236	#95	C₂³×C₈₉	1	1	yes	characteristic
1237	#95	C₂³×C₈₉	1	1	yes	characteristic
1238	#95	C₂³×C₈₉	1	1	yes	characteristic
1239	#95	C₂³×C₈₉	1	1	yes	characteristic
1240	#95	C₂³×C₈₉	1	1	yes	characteristic
1241	#95	C₂³×C₈₉	1	1	yes	characteristic
1242	#95	C₂³×C₈₉	1	1	yes	characteristic
1243	#95	C₂³×C₈₉	1	1	yes	characteristic
1244	#95	C₂³×C₈₉	1	1	yes	characteristic
1245	#95	C₂³×C₈₉	1	1	yes	characteristic
1246	#95	C₂³×C₈₉	1	1	yes	characteristic
1247	#95	C₂³×C₈₉	1	1	yes	characteristic
1248	C₂⁴	—	2	2	no	—
1249	C₂⁴	—	2	2	no	—
1250	C₂⁴	—	2	2	no	—
1251	C₂⁴	—	2	2	no	—
1252	C₂⁴	—	2	2	no	—
1253	C₂⁴	—	4	1	no	—
1254	C₂⁴	—	4	1	no	—
1255	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1256	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1257	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1258	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1259	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1260	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1261	#41	—	2	32	no	—
1262	#41	—	4	16	no	—
1263	C₂×Q₈	—	2	2	no	—
1264	C₂×Q₈	—	2	2	no	—
1265	C₂×Q₈	—	2	2	no	—
1266	C₂×Q₈	—	2	2	no	—
1267	C₂×Q₈	—	2	2	no	—
1268	C₂×Q₈	—	4	1	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	2	no	—
1281	C₂×D₄	—	2	2	no	—
1282	C₂×D₄	—	2	2	no	—
1283	C₂×D₄	—	2	2	no	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	2	no	—
1286	C₂×D₄	—	2	2	no	—
1287	C₂×D₄	—	2	2	no	—
1288	C₂×D₄	—	2	2	no	—
1289	C₂×D₄	—	2	2	no	—
1290	C₂×D₄	—	2	2	no	—
1291	C₂×D₄	—	2	2	no	—
1292	C₂×D₄	—	2	2	no	—
1293	C₂×D₄	—	2	2	no	—
1294	C₂×D₄	—	4	1	no	—
1295	C₂×D₄	—	4	1	no	—
1296	C₂×D₄	—	4	1	no	—
1297	C₂×D₄	—	4	1	no	—
1298	C₂×D₄	—	4	1	no	—
1299	C₂×D₄	—	4	1	no	—
1300	C₂×D₄	—	4	1	no	—
1301	C₂×D₄	—	4	1	no	—
1302	C₂×D₄	—	4	1	no	—
1303	C₂×D₄	C₂×D₄×C₈₉	1	4	yes	—
1304	C₂×D₄	#41×C₈₉	1	4	yes	complemented
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	—	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	—	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	—	4	1	no	—
1337	C₂²×C₄	—	4	1	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	—	4	1	no	—
1344	C₂²×C₄	—	4	1	no	—
1345	C₂²×C₄	—	4	1	no	—
1346	C₂²×C₄	—	4	1	no	—
1347	C₂²×C₄	—	4	1	no	—
1348	C₂²×C₄	—	4	1	no	—
1349	C₂²×C₄	—	4	1	no	—
1350	C₂²×C₄	—	4	1	no	—
1351	C₂²×C₄	—	4	1	no	—
1352	C₂²×C₄	—	4	1	no	—
1353	C₂²×C₄	—	4	16	no	—
1354	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
1355	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
1356	C₂²×C₄	#41×C₈₉	1	4	yes	complemented
1357	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1361	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1368	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1371	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1372	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1373	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1374	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1375	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1381	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	2	no	—
1385	C₄⋊C₄	—	2	2	no	—
1386	C₄⋊C₄	—	2	2	no	—
1387	C₄⋊C₄	—	2	2	no	—
1388	C₄⋊C₄	—	2	2	no	—
1389	C₄⋊C₄	—	2	2	no	—
1390	C₄⋊C₄	—	2	2	no	—
1391	C₄⋊C₄	—	2	2	no	—
1392	C₄⋊C₄	—	2	2	no	—
1393	C₄⋊C₄	—	2	2	no	—
1394	C₄⋊C₄	—	2	2	no	—
1395	C₄⋊C₄	—	2	2	no	—
1396	C₄⋊C₄	—	2	2	no	—
1397	C₄⋊C₄	—	2	2	no	—
1398	C₄⋊C₄	—	2	2	no	—
1399	C₄⋊C₄	—	2	2	no	—
1400	C₄⋊C₄	—	2	2	no	—
1401	C₄⋊C₄	—	2	2	no	—
1402	C₄⋊C₄	—	4	1	no	—
1403	C₄⋊C₄	—	4	1	no	—
1404	C₄⋊C₄	—	4	1	no	—
1405	C₄⋊C₄	—	4	1	no	—
1406	C₄⋊C₄	—	4	1	no	—
1407	C₄⋊C₄	—	4	1	no	—
1408	C₄⋊C₄	—	4	1	no	—
1409	C₄⋊C₄	—	4	1	no	—
1410	C₄⋊C₄	—	4	1	no	—
1411	C₄⋊C₄	—	4	1	no	—
1412	C₄⋊C₄	—	4	1	no	—
1413	C₄⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1414	C₂²⋊C₄	—	2	2	no	—
1415	C₂²⋊C₄	—	2	2	no	—
1416	C₂²⋊C₄	—	2	2	no	—
1417	C₂²⋊C₄	—	2	2	no	—
1418	C₂²⋊C₄	—	2	2	no	—
1419	C₂²⋊C₄	—	2	2	no	—
1420	C₂²⋊C₄	—	2	2	no	—
1421	C₂²⋊C₄	—	2	2	no	—
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	2	2	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	2	2	no	—
1432	C₂²⋊C₄	—	2	2	no	—
1433	C₂²⋊C₄	—	2	2	no	—
1434	C₂²⋊C₄	—	2	2	no	—
1435	C₂²⋊C₄	—	2	2	no	—
1436	C₂²⋊C₄	—	2	2	no	—
1437	C₂²⋊C₄	—	2	2	no	—
1438	C₂²⋊C₄	—	2	2	no	—
1439	C₂²⋊C₄	—	2	2	no	—
1440	C₂²⋊C₄	—	2	2	no	—
1441	C₂²⋊C₄	—	2	2	no	—
1442	C₂²⋊C₄	—	2	2	no	—
1443	C₂²⋊C₄	—	4	1	no	—
1444	C₂²⋊C₄	—	4	1	no	—
1445	C₂²⋊C₄	—	4	1	no	—
1446	C₂²⋊C₄	—	4	1	no	—
1447	C₂²⋊C₄	—	4	1	no	—
1448	C₂²⋊C₄	—	4	1	no	—
1449	C₂²⋊C₄	—	4	1	no	—
1450	C₂²⋊C₄	—	4	1	no	—
1451	C₂²⋊C₄	—	4	1	no	—
1452	C₂²⋊C₄	—	4	1	no	—
1453	C₂²⋊C₄	—	4	1	no	—
1454	C₂²⋊C₄	—	4	1	no	—
1455	C₂²⋊C₄	—	4	1	no	—
1456	C₂²⋊C₄	—	4	1	no	—
1457	C₂²⋊C₄	—	4	1	no	—
1458	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1459	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1460	C₄²	—	2	2	no	—
1461	C₄²	—	2	2	no	—
1462	C₄²	—	2	2	no	—
1463	C₄²	—	2	2	no	—
1464	C₄²	—	2	2	no	—
1465	C₄²	—	2	2	no	—
1466	C₄²	—	4	1	no	—
1467	C₄²	—	4	1	no	—
1468	C₄²	C₂×D₄×C₈₉	1	4	yes	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	8	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	4	4	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	4	no	—
1508	C₂³	—	4	4	no	—
1509	C₂³	—	4	4	no	—
1510	C₂³	—	4	4	no	—
1511	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1512	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1513	C₂³	C₂×#41×C₈₉	1	2	yes	—
1514	C₂³	C₂×#41×C₈₉	1	2	yes	—
1515	C₂³	C₂×#41×C₈₉	1	2	yes	—
1516	C₂³	H(5,𝔽₂)×C₈₉	1	2	yes	—
1517	C₂³	2₋¹⁺⁴×C₈₉	1	2	yes	—
1518	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1519	Q₈	—	2	8	no	—
1520	Q₈	—	4	4	no	—
1521	D₄	—	2	8	no	—
1522	D₄	—	2	8	no	—
1523	D₄	—	2	8	no	—
1524	D₄	—	4	4	no	—
1525	D₄	—	4	4	no	—
1526	D₄	—	4	4	no	—
1527	D₄	—	4	4	no	—
1528	D₄	—	4	4	no	—
1529	D₄	—	4	4	no	—
1530	D₄	—	4	4	no	—
1531	D₄	—	4	4	no	—
1532	D₄	—	8	2	no	—
1533	C₂×C₄	—	2	8	no	—
1534	C₂×C₄	—	2	8	no	—
1535	C₂×C₄	—	2	8	no	—
1536	C₂×C₄	—	2	8	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	—	4	4	no	—
1606	C₂×C₄	—	4	4	no	—
1607	C₂×C₄	—	4	4	no	—
1608	C₂×C₄	—	4	4	no	—
1609	C₂×C₄	—	4	4	no	—
1610	C₂×C₄	—	4	4	no	—
1611	C₂×C₄	—	8	2	no	—
1612	C₂×C₄	—	8	2	no	—
1613	C₂×C₄	—	8	2	no	—
1614	C₂×C₄	—	8	2	no	—
1615	C₂×C₄	—	8	2	no	—
1616	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1617	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1618	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1619	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1620	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1621	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1622	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1623	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1624	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	4	16	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	#525×C₈₉	1	4	yes	—
1668	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1669	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1670	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1671	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1672	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1673	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1674	C₂²	#585×C₈₉	1	1	yes	characteristic
1675	C₄	—	2	2	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	2	no	—
1679	C₄	—	2	2	no	—
1680	C₄	—	2	2	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₂	—	2	4	no	—
1701	C₂	—	4	2	no	—
1702	C₂	—	4	2	no	—
1703	C₂	—	4	2	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	C₂×#525×C₈₉	1	1	yes	characteristic
1707	C₂	C₈₉×#3484	1	1	yes	characteristic
1708	C₂	C₈₉×#3489	1	1	yes	characteristic
1709	C₂	C₈₉×#3492	1	1	yes	characteristic
1710	C₂	C₈₉×#3506	1	1	yes	characteristic
1711	C₂	C₈₉×#3513	1	1	yes	characteristic
1712	C₂	C₈₉×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₈₉
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×#525×C₈₉	C₂	semidirect
2. C₂×#520×C₈₉	C₂	semidirect
3. C₈₉×#2609	C₂	semidirect
4. C₈₉×#2600	C₂	semidirect
5. C₈₉×#2599	C₂	semidirect
6. C₈₉×#2598	C₂	semidirect
7. C₈₉×#2580	C₂	semidirect
8. C₈₉×#2579	C₂	semidirect
9. C₈₉×#2476	C₂	semidirect
10. C₈₉×#2470	C₂	semidirect
11. C₈₉×#2465	C₂	semidirect
12. C₈₉×#2458	C₂	semidirect
13. C₈₉×#2456	C₂	semidirect
14. C₈₉×#2455	C₂	semidirect
15. C₈₉×#2449	C₂	semidirect
16. C₈₉×#2449	C₂	semidirect
17. C₈₉×#2443	C₂	semidirect
18. C₈₉×#2443	C₂	semidirect
19. C₈₉×#2438	C₂	semidirect
20. C₈₉×#2430	C₂	semidirect
21. C₈₉×#2424	C₂	semidirect
22. C₈₉×#2418	C₂	semidirect
23. C₈₉×#2411	C₂	semidirect
24. C₈₉×#2407	C₂	semidirect
25. C₈₉×#2406	C₂	semidirect
26. C₈₉×#2404	C₂	semidirect
27. C₈₉×#2325	C₂	semidirect
28. C₈₉×#2322	C₂	semidirect
29. C₈₉×#2318	C₂	semidirect
30. C₄×#120×C₈₉	C₂	semidirect
31. C₂×#385×C₈₉	C₂	semidirect
40. C₂×#123×C₈₉	C₂²	semidirect
43. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
52. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
53. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
63. C₂×C₄×D₄×C₈₉	C₂²	semidirect
64. C₂×C₄×D₄×C₈₉	C₂²	semidirect
67. C₂×#117×C₈₉	C₂²	semidirect
68. C₂×#117×C₈₉	C₂²	semidirect
71. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
72. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
75. #400×C₈₉	C₂²	semidirect
77. #399×C₈₉	C₂²	semidirect
78. #399×C₈₉	C₂²	semidirect
79. #398×C₈₉	C₂²	semidirect
80. #398×C₈₉	C₂²	semidirect
81. #398×C₈₉	C₂²	semidirect
82. #398×C₈₉	C₂²	semidirect
84. #397×C₈₉	C₂²	semidirect
88. #396×C₈₉	C₂²	semidirect
89. #395×C₈₉	C₂²	semidirect
90. #395×C₈₉	C₂²	semidirect
91. #395×C₈₉	C₂²	semidirect
98. #394×C₈₉	C₂²	semidirect
99. #394×C₈₉	C₂²	semidirect
102. #393×C₈₉	C₂²	semidirect
106. #392×C₈₉	C₂²	semidirect
107. #391×C₈₉	C₂²	semidirect
111. #389×C₈₉	C₂²	semidirect
112. #389×C₈₉	C₂²	semidirect
113. #389×C₈₉	C₂²	semidirect
114. #389×C₈₉	C₂²	semidirect
120. #388×C₈₉	C₂²	semidirect
121. #388×C₈₉	C₂²	semidirect
122. #388×C₈₉	C₂²	semidirect
123. #388×C₈₉	C₂²	semidirect
124. #388×C₈₉	C₂²	semidirect
125. #388×C₈₉	C₂²	semidirect
126. #388×C₈₉	C₂²	semidirect
127. #387×C₈₉	C₂²	semidirect
128. #387×C₈₉	C₂²	semidirect
129. #387×C₈₉	C₂²	semidirect
130. #387×C₈₉	C₂²	semidirect
131. #387×C₈₉	C₂²	semidirect
132. #387×C₈₉	C₂²	semidirect
133. #387×C₈₉	C₂²	semidirect
134. #387×C₈₉	C₂²	semidirect
135. #387×C₈₉	C₂²	semidirect
136. #387×C₈₉	C₂²	semidirect
151. #386×C₈₉	C₂²	semidirect
152. #386×C₈₉	C₂²	semidirect
153. #386×C₈₉	C₂²	semidirect
154. #386×C₈₉	C₂²	semidirect
169. #385×C₈₉	C₂²	semidirect
170. #385×C₈₉	C₂²	semidirect
171. #385×C₈₉	C₂²	semidirect
172. #385×C₈₉	C₂²	semidirect
173. #385×C₈₉	C₂²	semidirect
174. #385×C₈₉	C₂²	semidirect
175. #385×C₈₉	C₂²	semidirect
176. #385×C₈₉	C₂²	semidirect
177. #383×C₈₉	C₂²	semidirect
178. #382×C₈₉	C₂²	semidirect
180. #381×C₈₉	C₂²	semidirect
182. #380×C₈₉	C₂²	semidirect
257. C₄×D₄×C₈₉	D₄	semidirect
447. C₂×D₄×C₈₉	#41	semidirect
499. C₂²×C₄×C₈₉	#41	semidirect
843. #35353	C₈₉	direct (N × H)
857. C₂×#525	C₂×C₈₉	semidirect
858. C₂×#520	C₂×C₈₉	semidirect
859. #2609	C₂×C₈₉	semidirect
860. #2600	C₂×C₈₉	semidirect
861. #2599	C₂×C₈₉	semidirect
862. #2598	C₂×C₈₉	semidirect
863. #2580	C₂×C₈₉	semidirect
864. #2579	C₂×C₈₉	semidirect
865. #2476	C₂×C₈₉	semidirect
866. #2470	C₂×C₈₉	semidirect
867. #2465	C₂×C₈₉	semidirect
868. #2458	C₂×C₈₉	semidirect
869. #2456	C₂×C₈₉	semidirect
870. #2455	C₂×C₈₉	semidirect
871. #2449	C₂×C₈₉	semidirect
872. #2449	C₂×C₈₉	semidirect
873. #2443	C₂×C₈₉	semidirect
874. #2443	C₂×C₈₉	semidirect
875. #2438	C₂×C₈₉	semidirect
876. #2430	C₂×C₈₉	semidirect
877. #2424	C₂×C₈₉	semidirect
878. #2418	C₂×C₈₉	semidirect
879. #2411	C₂×C₈₉	semidirect
880. #2407	C₂×C₈₉	semidirect
881. #2406	C₂×C₈₉	semidirect
882. #2404	C₂×C₈₉	semidirect
883. #2325	C₂×C₈₉	semidirect
884. #2322	C₂×C₈₉	semidirect
885. #2318	C₂×C₈₉	semidirect
886. C₄×#120	C₂×C₈₉	semidirect
887. C₂×#385	C₂×C₈₉	semidirect
888. C₈₉	#35353	direct (N × H)
897. C₂×#123	C₂²×C₈₉	semidirect
900. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
909. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
910. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
920. C₂×C₄×D₄	C₂²×C₈₉	semidirect
921. C₂×C₄×D₄	C₂²×C₈₉	semidirect
924. C₂×#117	C₂²×C₈₉	semidirect
925. C₂×#117	C₂²×C₈₉	semidirect
928. C₂²×C₄⋊C₄	C₂²×C₈₉	semidirect
929. C₂²×C₄⋊C₄	C₂²×C₈₉	semidirect
932. #400	C₂²×C₈₉	semidirect
934. #399	C₂²×C₈₉	semidirect
935. #399	C₂²×C₈₉	semidirect
936. #398	C₂²×C₈₉	semidirect
937. #398	C₂²×C₈₉	semidirect
938. #398	C₂²×C₈₉	semidirect
939. #398	C₂²×C₈₉	semidirect
941. #397	C₂²×C₈₉	semidirect
945. #396	C₂²×C₈₉	semidirect
946. #395	C₂²×C₈₉	semidirect
947. #395	C₂²×C₈₉	semidirect
948. #395	C₂²×C₈₉	semidirect
955. #394	C₂²×C₈₉	semidirect
956. #394	C₂²×C₈₉	semidirect
959. #393	C₂²×C₈₉	semidirect
963. #392	C₂²×C₈₉	semidirect
964. #391	C₂²×C₈₉	semidirect
968. #389	C₂²×C₈₉	semidirect
969. #389	C₂²×C₈₉	semidirect
970. #389	C₂²×C₈₉	semidirect
971. #389	C₂²×C₈₉	semidirect
977. #388	C₂²×C₈₉	semidirect
978. #388	C₂²×C₈₉	semidirect
979. #388	C₂²×C₈₉	semidirect
980. #388	C₂²×C₈₉	semidirect
981. #388	C₂²×C₈₉	semidirect
982. #388	C₂²×C₈₉	semidirect
983. #388	C₂²×C₈₉	semidirect
984. #387	C₂²×C₈₉	semidirect
985. #387	C₂²×C₈₉	semidirect
986. #387	C₂²×C₈₉	semidirect
987. #387	C₂²×C₈₉	semidirect
988. #387	C₂²×C₈₉	semidirect
989. #387	C₂²×C₈₉	semidirect
990. #387	C₂²×C₈₉	semidirect
991. #387	C₂²×C₈₉	semidirect
992. #387	C₂²×C₈₉	semidirect
993. #387	C₂²×C₈₉	semidirect
1008. #386	C₂²×C₈₉	semidirect
1009. #386	C₂²×C₈₉	semidirect
1010. #386	C₂²×C₈₉	semidirect
1011. #386	C₂²×C₈₉	semidirect
1026. #385	C₂²×C₈₉	semidirect
1027. #385	C₂²×C₈₉	semidirect
1028. #385	C₂²×C₈₉	semidirect
1029. #385	C₂²×C₈₉	semidirect
1030. #385	C₂²×C₈₉	semidirect
1031. #385	C₂²×C₈₉	semidirect
1032. #385	C₂²×C₈₉	semidirect
1033. #385	C₂²×C₈₉	semidirect
1034. #383	C₂²×C₈₉	semidirect
1035. #382	C₂²×C₈₉	semidirect
1037. #381	C₂²×C₈₉	semidirect
1039. #380	C₂²×C₈₉	semidirect
1114. C₄×D₄	D₄×C₈₉	semidirect
1304. C₂×D₄	#41×C₈₉	semidirect
1356. C₂²×C₄	#41×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#525×C₈₉	2
C₂×#520×C₈₉	2
C₈₉×#2609	2
C₈₉×#2600	2
C₈₉×#2599	2
C₈₉×#2598	2
C₈₉×#2580	2
C₈₉×#2579	2
C₈₉×#2476	2
C₈₉×#2470	2
C₈₉×#2465	2
C₈₉×#2458	2
C₈₉×#2456	2
C₈₉×#2455	2
C₈₉×#2449	2
C₈₉×#2443	2
C₈₉×#2438	2
C₈₉×#2430	2
C₈₉×#2424	2
C₈₉×#2418	2
C₈₉×#2411	2
C₈₉×#2407	2
C₈₉×#2406	2
C₈₉×#2404	2
C₈₉×#2325	2
C₈₉×#2322	2
C₈₉×#2318	2
C₄×#120×C₈₉	2
C₂×#385×C₈₉	2
#35353	89

Subgroups — C89×#35353 #36413201

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#35353 #36413201