Subgroups — C₈₉×#35392 #36413240

Order 22784.

2928 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#538×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2610	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2603	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2602	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#2601	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#2560	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#2557	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#2555	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#2554	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#2549	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#2544	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#2543	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#2543	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#2472	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#2464	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#2461	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2445	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#2433	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#2431	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2430	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#2428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#2424	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#2424	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#2408	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#120×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#386×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2275	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
33	C₂³×D₄×C₈₉	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₈₉	C₂²	1	1	yes	characteristic
35	#538×C₈₉	—	2	8	no	—
36	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic
37	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic
38	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#126×C₈₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
44	#525×C₈₉	—	2	8	no	—
45	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
53	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
54	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
55	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
56	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
57	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
59	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
62	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
63	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
64	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
65	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
66	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
67	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
69	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
70	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
71	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
72	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
73	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
77	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
78	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
79	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
80	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
81	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
82	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
83	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
84	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
85	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
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	#394×C₈₉	C₂²	1	1	yes	characteristic
92	#394×C₈₉	C₂²	1	1	yes	characteristic
93	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
95	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
98	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
99	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
100	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
101	#394×C₈₉	C₂²	1	1	yes	characteristic, complemented
102	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
103	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
104	#392×C₈₉	C₂²	1	1	yes	characteristic
105	#392×C₈₉	C₂²	1	1	yes	characteristic
106	#392×C₈₉	C₂²	1	1	yes	characteristic
107	#392×C₈₉	C₂²	1	1	yes	characteristic
108	#392×C₈₉	C₂²	1	1	yes	characteristic
109	#392×C₈₉	C₂²	1	1	yes	characteristic
110	#392×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	#392×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#392×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#390×C₈₉	C₂²	1	1	yes	characteristic
116	#390×C₈₉	C₂²	1	1	yes	characteristic
117	#390×C₈₉	C₂²	1	1	yes	characteristic
118	#390×C₈₉	C₂²	1	1	yes	characteristic
119	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
120	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
121	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#390×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
126	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
127	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
128	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
130	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
131	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
133	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
134	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
135	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
139	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
140	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
141	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
142	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
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
152	#386×C₈₉	C₂²	1	1	yes	characteristic
153	#386×C₈₉	C₂²	1	1	yes	characteristic
154	#386×C₈₉	C₂²	1	1	yes	characteristic
155	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
157	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
159	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
161	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
162	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
163	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
164	#386×C₈₉	C₂²	1	1	yes	characteristic, complemented
165	#385×C₈₉	C₂²	1	1	yes	characteristic
166	#385×C₈₉	C₂²	1	1	yes	characteristic
167	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
169	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
170	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	#380×C₈₉	C₂²	1	1	yes	characteristic
172	#379×C₈₉	C₂²	1	1	yes	characteristic
173	#379×C₈₉	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#376×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
190	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
191	C₂×#41×C₈₉	—	2	4	no	—
192	C₂×#41×C₈₉	—	4	2	no	—
193	C₂×#41×C₈₉	—	4	2	no	—
194	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
195	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₈₉	—	2	4	no	—
197	C₂²×D₄×C₈₉	—	4	2	no	—
198	C₂²×D₄×C₈₉	—	4	2	no	—
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	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
217	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
218	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
219	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
220	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₈₉	—	2	4	no	—
222	C₂³×C₄×C₈₉	—	4	2	no	—
223	C₂³×C₄×C₈₉	—	4	2	no	—
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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
235	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
238	#127×C₈₉	—	4	2	no	—
239	#127×C₈₉	—	4	2	no	—
240	#126×C₈₉	—	2	4	no	—
241	#126×C₈₉	—	2	4	no	—
242	#124×C₈₉	—	2	4	no	—
243	#124×C₈₉	—	2	4	no	—
244	#124×C₈₉	—	4	2	no	—
245	#124×C₈₉	—	4	2	no	—
246	#123×C₈₉	—	2	4	no	—
247	#123×C₈₉	—	2	4	no	—
248	#123×C₈₉	—	2	4	no	—
249	#123×C₈₉	—	2	4	no	—
250	C₂²⋊Q₈×C₈₉	—	2	4	no	—
251	C₂²⋊Q₈×C₈₉	—	2	4	no	—
252	C₂²⋊Q₈×C₈₉	—	2	4	no	—
253	#121×C₈₉	—	2	4	no	—
254	#121×C₈₉	—	2	4	no	—
255	#121×C₈₉	—	2	4	no	—
256	#121×C₈₉	—	2	4	no	—
257	#121×C₈₉	—	2	4	no	—
258	#121×C₈₉	—	2	4	no	—
259	#121×C₈₉	—	4	2	no	—
260	#121×C₈₉	—	4	2	no	—
261	#121×C₈₉	—	4	2	no	—
262	#121×C₈₉	—	4	2	no	—
263	#120×C₈₉	—	2	4	no	—
264	#120×C₈₉	—	2	4	no	—
265	#120×C₈₉	—	2	4	no	—
266	#120×C₈₉	—	2	4	no	—
267	#120×C₈₉	—	2	4	no	—
268	#120×C₈₉	—	2	4	no	—
269	C₄×D₄×C₈₉	—	2	4	no	—
270	C₄×D₄×C₈₉	—	2	4	no	—
271	C₄×D₄×C₈₉	—	2	4	no	—
272	C₄×D₄×C₈₉	—	2	4	no	—
273	C₄×D₄×C₈₉	—	2	4	no	—
274	C₄×D₄×C₈₉	—	2	4	no	—
275	C₄×D₄×C₈₉	—	4	2	no	—
276	C₄×D₄×C₈₉	—	4	2	no	—
277	C₄×D₄×C₈₉	D₄	1	8	yes	complemented
278	#117×C₈₉	—	2	4	no	—
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×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₈₉	—	2	4	no	—
300	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
301	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
392	#95×C₈₉	C₂³	1	1	yes	characteristic
393	#95×C₈₉	C₂³	1	1	yes	characteristic
394	#95×C₈₉	C₂³	1	1	yes	characteristic
395	#95×C₈₉	C₂³	1	1	yes	characteristic
396	#95×C₈₉	C₂³	1	1	yes	characteristic
397	C₂⁴×C₈₉	—	2	2	no	—
398	C₂⁴×C₈₉	—	2	2	no	—
399	C₂⁴×C₈₉	—	2	2	no	—
400	C₂⁴×C₈₉	—	2	2	no	—
401	C₂⁴×C₈₉	—	2	2	no	—
402	C₂⁴×C₈₉	—	2	2	no	—
403	C₂⁴×C₈₉	—	2	2	no	—
404	C₂⁴×C₈₉	—	2	2	no	—
405	C₂⁴×C₈₉	—	4	1	no	—
406	C₂⁴×C₈₉	—	4	1	no	—
407	C₂⁴×C₈₉	—	4	1	no	—
408	C₂⁴×C₈₉	—	4	1	no	—
409	C₂⁴×C₈₉	—	4	1	no	—
410	C₂⁴×C₈₉	—	4	1	no	—
411	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
413	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
414	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
415	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
416	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
418	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
419	#41×C₈₉	—	4	16	no	—
420	C₂×Q₈×C₈₉	—	2	2	no	—
421	C₂×Q₈×C₈₉	—	2	2	no	—
422	C₂×Q₈×C₈₉	—	2	2	no	—
423	C₂×Q₈×C₈₉	—	4	1	no	—
424	C₂×Q₈×C₈₉	—	4	1	no	—
425	C₂×Q₈×C₈₉	—	4	1	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	—	2	2	no	—
438	C₂×D₄×C₈₉	—	2	2	no	—
439	C₂×D₄×C₈₉	—	2	2	no	—
440	C₂×D₄×C₈₉	—	2	2	no	—
441	C₂×D₄×C₈₉	—	2	2	no	—
442	C₂×D₄×C₈₉	—	2	2	no	—
443	C₂×D₄×C₈₉	—	2	2	no	—
444	C₂×D₄×C₈₉	—	2	2	no	—
445	C₂×D₄×C₈₉	—	2	2	no	—
446	C₂×D₄×C₈₉	—	2	2	no	—
447	C₂×D₄×C₈₉	—	2	2	no	—
448	C₂×D₄×C₈₉	—	2	2	no	—
449	C₂×D₄×C₈₉	—	2	2	no	—
450	C₂×D₄×C₈₉	—	2	2	no	—
451	C₂×D₄×C₈₉	—	2	2	no	—
452	C₂×D₄×C₈₉	—	2	2	no	—
453	C₂×D₄×C₈₉	—	2	2	no	—
454	C₂×D₄×C₈₉	—	2	2	no	—
455	C₂×D₄×C₈₉	—	2	2	no	—
456	C₂×D₄×C₈₉	—	2	2	no	—
457	C₂×D₄×C₈₉	—	2	2	no	—
458	C₂×D₄×C₈₉	—	2	2	no	—
459	C₂×D₄×C₈₉	—	2	2	no	—
460	C₂×D₄×C₈₉	—	2	2	no	—
461	C₂×D₄×C₈₉	—	2	2	no	—
462	C₂×D₄×C₈₉	—	2	2	no	—
463	C₂×D₄×C₈₉	—	2	2	no	—
464	C₂×D₄×C₈₉	—	4	1	no	—
465	C₂×D₄×C₈₉	—	4	1	no	—
466	C₂×D₄×C₈₉	—	4	1	no	—
467	C₂×D₄×C₈₉	—	4	1	no	—
468	C₂×D₄×C₈₉	—	4	1	no	—
469	C₂×D₄×C₈₉	—	4	1	no	—
470	C₂×D₄×C₈₉	—	4	1	no	—
471	C₂×D₄×C₈₉	—	4	1	no	—
472	C₂×D₄×C₈₉	—	4	1	no	—
473	C₂×D₄×C₈₉	—	4	1	no	—
474	C₂×D₄×C₈₉	—	4	1	no	—
475	C₂×D₄×C₈₉	—	4	1	no	—
476	C₂×D₄×C₈₉	—	4	1	no	—
477	C₂×D₄×C₈₉	—	4	1	no	—
478	C₂×D₄×C₈₉	—	4	1	no	—
479	C₂×D₄×C₈₉	—	4	1	no	—
480	C₂×D₄×C₈₉	—	4	1	no	—
481	C₂×D₄×C₈₉	—	4	1	no	—
482	C₂×D₄×C₈₉	—	4	1	no	—
483	C₂×D₄×C₈₉	—	4	1	no	—
484	C₂×D₄×C₈₉	—	4	1	no	—
485	C₂×D₄×C₈₉	—	4	1	no	—
486	C₂×D₄×C₈₉	—	4	1	no	—
487	C₂×D₄×C₈₉	—	4	1	no	—
488	C₂×D₄×C₈₉	—	4	1	no	—
489	C₂×D₄×C₈₉	—	4	1	no	—
490	C₂×D₄×C₈₉	—	4	1	no	—
491	C₂×D₄×C₈₉	—	4	16	no	—
492	C₂×D₄×C₈₉	C₂×D₄	1	4	yes	—
493	C₂²×C₄×C₈₉	—	2	2	no	—
494	C₂²×C₄×C₈₉	—	2	2	no	—
495	C₂²×C₄×C₈₉	—	2	2	no	—
496	C₂²×C₄×C₈₉	—	2	2	no	—
497	C₂²×C₄×C₈₉	—	2	2	no	—
498	C₂²×C₄×C₈₉	—	2	2	no	—
499	C₂²×C₄×C₈₉	—	2	2	no	—
500	C₂²×C₄×C₈₉	—	2	2	no	—
501	C₂²×C₄×C₈₉	—	2	2	no	—
502	C₂²×C₄×C₈₉	—	2	2	no	—
503	C₂²×C₄×C₈₉	—	2	2	no	—
504	C₂²×C₄×C₈₉	—	2	2	no	—
505	C₂²×C₄×C₈₉	—	2	2	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	—	4	1	no	—
510	C₂²×C₄×C₈₉	—	4	1	no	—
511	C₂²×C₄×C₈₉	—	4	1	no	—
512	C₂²×C₄×C₈₉	—	4	1	no	—
513	C₂²×C₄×C₈₉	—	4	1	no	—
514	C₂²×C₄×C₈₉	—	4	1	no	—
515	C₂²×C₄×C₈₉	—	4	1	no	—
516	C₂²×C₄×C₈₉	—	4	1	no	—
517	C₂²×C₄×C₈₉	—	4	1	no	—
518	C₂²×C₄×C₈₉	—	4	1	no	—
519	C₂²×C₄×C₈₉	—	4	1	no	—
520	C₂²×C₄×C₈₉	—	4	1	no	—
521	C₂²×C₄×C₈₉	—	4	1	no	—
522	C₂²×C₄×C₈₉	—	4	1	no	—
523	C₂²×C₄×C₈₉	—	4	1	no	—
524	C₂²×C₄×C₈₉	—	4	1	no	—
525	C₂²×C₄×C₈₉	—	4	1	no	—
526	C₂²×C₄×C₈₉	—	4	1	no	—
527	C₂²×C₄×C₈₉	—	4	1	no	—
528	C₂²×C₄×C₈₉	—	4	1	no	—
529	C₂²×C₄×C₈₉	—	4	1	no	—
530	C₂²×C₄×C₈₉	—	4	1	no	—
531	C₂²×C₄×C₈₉	—	4	1	no	—
532	C₂²×C₄×C₈₉	—	4	16	no	—
533	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
534	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	complemented
535	C₂²×C₄×C₈₉	#41	1	4	yes	complemented
536	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₄⋊C₄×C₈₉	—	2	2	no	—
560	C₄⋊C₄×C₈₉	—	2	2	no	—
561	C₄⋊C₄×C₈₉	—	2	2	no	—
562	C₄⋊C₄×C₈₉	—	2	2	no	—
563	C₄⋊C₄×C₈₉	—	2	2	no	—
564	C₄⋊C₄×C₈₉	—	2	2	no	—
565	C₄⋊C₄×C₈₉	—	2	2	no	—
566	C₄⋊C₄×C₈₉	—	2	2	no	—
567	C₄⋊C₄×C₈₉	—	2	2	no	—
568	C₄⋊C₄×C₈₉	—	2	2	no	—
569	C₄⋊C₄×C₈₉	—	2	2	no	—
570	C₄⋊C₄×C₈₉	—	2	2	no	—
571	C₄⋊C₄×C₈₉	—	2	2	no	—
572	C₄⋊C₄×C₈₉	—	2	2	no	—
573	C₄⋊C₄×C₈₉	—	4	1	no	—
574	C₄⋊C₄×C₈₉	—	4	1	no	—
575	C₄⋊C₄×C₈₉	—	4	1	no	—
576	C₄⋊C₄×C₈₉	—	4	1	no	—
577	C₄⋊C₄×C₈₉	—	4	1	no	—
578	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	complemented
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	—	2	2	no	—
587	C₂²⋊C₄×C₈₉	—	2	2	no	—
588	C₂²⋊C₄×C₈₉	—	2	2	no	—
589	C₂²⋊C₄×C₈₉	—	2	2	no	—
590	C₂²⋊C₄×C₈₉	—	2	2	no	—
591	C₂²⋊C₄×C₈₉	—	2	2	no	—
592	C₂²⋊C₄×C₈₉	—	2	2	no	—
593	C₂²⋊C₄×C₈₉	—	2	2	no	—
594	C₂²⋊C₄×C₈₉	—	2	2	no	—
595	C₂²⋊C₄×C₈₉	—	2	2	no	—
596	C₂²⋊C₄×C₈₉	—	2	2	no	—
597	C₂²⋊C₄×C₈₉	—	2	2	no	—
598	C₂²⋊C₄×C₈₉	—	2	2	no	—
599	C₂²⋊C₄×C₈₉	—	2	2	no	—
600	C₂²⋊C₄×C₈₉	—	2	2	no	—
601	C₂²⋊C₄×C₈₉	—	2	2	no	—
602	C₂²⋊C₄×C₈₉	—	2	2	no	—
603	C₂²⋊C₄×C₈₉	—	2	2	no	—
604	C₂²⋊C₄×C₈₉	—	2	2	no	—
605	C₂²⋊C₄×C₈₉	—	2	2	no	—
606	C₂²⋊C₄×C₈₉	—	2	2	no	—
607	C₂²⋊C₄×C₈₉	—	2	2	no	—
608	C₂²⋊C₄×C₈₉	—	2	2	no	—
609	C₂²⋊C₄×C₈₉	—	2	2	no	—
610	C₂²⋊C₄×C₈₉	—	2	2	no	—
611	C₂²⋊C₄×C₈₉	—	2	2	no	—
612	C₂²⋊C₄×C₈₉	—	2	2	no	—
613	C₂²⋊C₄×C₈₉	—	2	2	no	—
614	C₂²⋊C₄×C₈₉	—	2	2	no	—
615	C₂²⋊C₄×C₈₉	—	4	1	no	—
616	C₂²⋊C₄×C₈₉	—	4	1	no	—
617	C₂²⋊C₄×C₈₉	—	4	1	no	—
618	C₂²⋊C₄×C₈₉	—	4	1	no	—
619	C₂²⋊C₄×C₈₉	—	4	1	no	—
620	C₂²⋊C₄×C₈₉	—	4	1	no	—
621	C₂²⋊C₄×C₈₉	—	4	1	no	—
622	C₂²⋊C₄×C₈₉	—	4	1	no	—
623	C₂²⋊C₄×C₈₉	—	4	1	no	—
624	C₂²⋊C₄×C₈₉	—	4	1	no	—
625	C₂²⋊C₄×C₈₉	—	4	1	no	—
626	C₂²⋊C₄×C₈₉	—	4	1	no	—
627	C₂²⋊C₄×C₈₉	—	4	1	no	—
628	C₂²⋊C₄×C₈₉	—	4	1	no	—
629	C₂²⋊C₄×C₈₉	—	4	1	no	—
630	C₂²⋊C₄×C₈₉	—	4	1	no	—
631	C₂²⋊C₄×C₈₉	—	4	1	no	—
632	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
633	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	complemented
634	C₂²⋊C₄×C₈₉	#41	1	4	yes	complemented
635	C₄²×C₈₉	—	2	2	no	—
636	C₄²×C₈₉	—	2	2	no	—
637	C₄²×C₈₉	—	2	2	no	—
638	C₄²×C₈₉	—	2	2	no	—
639	C₄²×C₈₉	—	4	1	no	—
640	C₄²×C₈₉	—	4	1	no	—
641	C₄²×C₈₉	—	4	1	no	—
642	C₄²×C₈₉	—	4	1	no	—
643	C₄²×C₈₉	—	4	1	no	—
644	C₄²×C₈₉	—	4	1	no	—
645	C₄²×C₈₉	C₂×D₄	1	4	yes	complemented
646	C₂³×C₈₉	—	2	1	no	—
647	C₂³×C₈₉	—	2	1	no	—
648	C₂³×C₈₉	—	2	1	no	—
649	C₂³×C₈₉	—	2	1	no	—
650	C₂³×C₈₉	—	2	8	no	—
651	C₂³×C₈₉	—	2	1	no	—
652	C₂³×C₈₉	—	2	1	no	—
653	C₂³×C₈₉	—	2	1	no	—
654	C₂³×C₈₉	—	2	1	no	—
655	C₂³×C₈₉	—	2	1	no	—
656	C₂³×C₈₉	—	2	1	no	—
657	C₂³×C₈₉	—	2	1	no	—
658	C₂³×C₈₉	—	2	1	no	—
659	C₂³×C₈₉	—	2	1	no	—
660	C₂³×C₈₉	—	2	1	no	—
661	C₂³×C₈₉	—	2	1	no	—
662	C₂³×C₈₉	—	2	1	no	—
663	C₂³×C₈₉	—	2	1	no	—
664	C₂³×C₈₉	—	2	1	no	—
665	C₂³×C₈₉	—	2	1	no	—
666	C₂³×C₈₉	—	2	1	no	—
667	C₂³×C₈₉	—	2	1	no	—
668	C₂³×C₈₉	—	2	1	no	—
669	C₂³×C₈₉	—	2	1	no	—
670	C₂³×C₈₉	—	2	1	no	—
671	C₂³×C₈₉	—	2	1	no	—
672	C₂³×C₈₉	—	2	1	no	—
673	C₂³×C₈₉	—	2	1	no	—
674	C₂³×C₈₉	—	2	1	no	—
675	C₂³×C₈₉	—	2	1	no	—
676	C₂³×C₈₉	—	2	1	no	—
677	C₂³×C₈₉	—	2	1	no	—
678	C₂³×C₈₉	—	2	1	no	—
679	C₂³×C₈₉	—	2	1	no	—
680	C₂³×C₈₉	—	2	1	no	—
681	C₂³×C₈₉	—	2	1	no	—
682	C₂³×C₈₉	—	2	1	no	—
683	C₂³×C₈₉	—	2	1	no	—
684	C₂³×C₈₉	—	2	1	no	—
685	C₂³×C₈₉	—	2	1	no	—
686	C₂³×C₈₉	—	2	1	no	—
687	C₂³×C₈₉	—	2	1	no	—
688	C₂³×C₈₉	—	2	1	no	—
689	C₂³×C₈₉	—	2	1	no	—
690	C₂³×C₈₉	—	2	1	no	—
691	C₂³×C₈₉	—	2	1	no	—
692	C₂³×C₈₉	—	2	1	no	—
693	C₂³×C₈₉	—	2	1	no	—
694	C₂³×C₈₉	—	2	1	no	—
695	C₂³×C₈₉	—	2	1	no	—
696	C₂³×C₈₉	—	2	1	no	—
697	C₂³×C₈₉	—	4	4	no	—
698	C₂³×C₈₉	—	4	4	no	—
699	C₂³×C₈₉	—	4	4	no	—
700	C₂³×C₈₉	—	4	4	no	—
701	C₂³×C₈₉	—	4	4	no	—
702	C₂³×C₈₉	—	4	4	no	—
703	C₂³×C₈₉	—	4	4	no	—
704	C₂³×C₈₉	—	4	4	no	—
705	C₂³×C₈₉	—	4	4	no	—
706	C₂³×C₈₉	—	8	2	no	—
707	C₂³×C₈₉	—	8	2	no	—
708	C₂³×C₈₉	—	8	2	no	—
709	C₂³×C₈₉	—	8	2	no	—
710	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
711	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
712	C₂³×C₈₉	C₂×#41	1	2	yes	—
713	C₂³×C₈₉	C₂×#41	1	2	yes	—
714	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
715	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
716	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
717	Q₈×C₈₉	—	4	4	no	—
718	Q₈×C₈₉	—	8	2	no	—
719	D₄×C₈₉	—	2	8	no	—
720	D₄×C₈₉	—	4	4	no	—
721	D₄×C₈₉	—	4	4	no	—
722	D₄×C₈₉	—	4	4	no	—
723	D₄×C₈₉	—	4	4	no	—
724	D₄×C₈₉	—	4	4	no	—
725	D₄×C₈₉	—	4	4	no	—
726	D₄×C₈₉	—	4	4	no	—
727	D₄×C₈₉	—	4	4	no	—
728	D₄×C₈₉	—	4	4	no	—
729	D₄×C₈₉	—	4	4	no	—
730	D₄×C₈₉	—	4	4	no	—
731	D₄×C₈₉	—	4	4	no	—
732	D₄×C₈₉	—	4	4	no	—
733	D₄×C₈₉	—	8	2	no	—
734	D₄×C₈₉	—	8	2	no	—
735	D₄×C₈₉	—	8	2	no	—
736	D₄×C₈₉	—	8	2	no	—
737	D₄×C₈₉	—	8	2	no	—
738	D₄×C₈₉	—	8	2	no	—
739	D₄×C₈₉	—	8	2	no	—
740	D₄×C₈₉	—	8	2	no	—
741	C₂×C₄×C₈₉	—	2	8	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	—	2	1	no	—
747	C₂×C₄×C₈₉	—	2	1	no	—
748	C₂×C₄×C₈₉	—	2	1	no	—
749	C₂×C₄×C₈₉	—	2	1	no	—
750	C₂×C₄×C₈₉	—	2	1	no	—
751	C₂×C₄×C₈₉	—	2	1	no	—
752	C₂×C₄×C₈₉	—	2	1	no	—
753	C₂×C₄×C₈₉	—	2	1	no	—
754	C₂×C₄×C₈₉	—	2	1	no	—
755	C₂×C₄×C₈₉	—	2	1	no	—
756	C₂×C₄×C₈₉	—	2	1	no	—
757	C₂×C₄×C₈₉	—	2	1	no	—
758	C₂×C₄×C₈₉	—	2	1	no	—
759	C₂×C₄×C₈₉	—	2	1	no	—
760	C₂×C₄×C₈₉	—	2	1	no	—
761	C₂×C₄×C₈₉	—	2	1	no	—
762	C₂×C₄×C₈₉	—	2	1	no	—
763	C₂×C₄×C₈₉	—	2	1	no	—
764	C₂×C₄×C₈₉	—	2	1	no	—
765	C₂×C₄×C₈₉	—	2	1	no	—
766	C₂×C₄×C₈₉	—	2	1	no	—
767	C₂×C₄×C₈₉	—	2	1	no	—
768	C₂×C₄×C₈₉	—	2	1	no	—
769	C₂×C₄×C₈₉	—	2	1	no	—
770	C₂×C₄×C₈₉	—	2	1	no	—
771	C₂×C₄×C₈₉	—	2	1	no	—
772	C₂×C₄×C₈₉	—	2	1	no	—
773	C₂×C₄×C₈₉	—	2	1	no	—
774	C₂×C₄×C₈₉	—	2	1	no	—
775	C₂×C₄×C₈₉	—	2	1	no	—
776	C₂×C₄×C₈₉	—	2	1	no	—
777	C₂×C₄×C₈₉	—	2	1	no	—
778	C₂×C₄×C₈₉	—	2	1	no	—
779	C₂×C₄×C₈₉	—	2	1	no	—
780	C₂×C₄×C₈₉	—	2	1	no	—
781	C₂×C₄×C₈₉	—	2	1	no	—
782	C₂×C₄×C₈₉	—	2	1	no	—
783	C₂×C₄×C₈₉	—	2	1	no	—
784	C₂×C₄×C₈₉	—	2	1	no	—
785	C₂×C₄×C₈₉	—	2	1	no	—
786	C₂×C₄×C₈₉	—	2	1	no	—
787	C₂×C₄×C₈₉	—	2	1	no	—
788	C₂×C₄×C₈₉	—	2	1	no	—
789	C₂×C₄×C₈₉	—	2	1	no	—
790	C₂×C₄×C₈₉	—	2	1	no	—
791	C₂×C₄×C₈₉	—	2	1	no	—
792	C₂×C₄×C₈₉	—	2	1	no	—
793	C₂×C₄×C₈₉	—	2	1	no	—
794	C₂×C₄×C₈₉	—	2	1	no	—
795	C₂×C₄×C₈₉	—	2	1	no	—
796	C₂×C₄×C₈₉	—	2	1	no	—
797	C₂×C₄×C₈₉	—	2	1	no	—
798	C₂×C₄×C₈₉	—	2	1	no	—
799	C₂×C₄×C₈₉	—	2	1	no	—
800	C₂×C₄×C₈₉	—	2	1	no	—
801	C₂×C₄×C₈₉	—	4	4	no	—
802	C₂×C₄×C₈₉	—	4	4	no	—
803	C₂×C₄×C₈₉	—	4	4	no	—
804	C₂×C₄×C₈₉	—	4	4	no	—
805	C₂×C₄×C₈₉	—	4	4	no	—
806	C₂×C₄×C₈₉	—	4	4	no	—
807	C₂×C₄×C₈₉	—	4	4	no	—
808	C₂×C₄×C₈₉	—	4	4	no	—
809	C₂×C₄×C₈₉	—	8	2	no	—
810	C₂×C₄×C₈₉	—	8	2	no	—
811	C₂×C₄×C₈₉	—	8	2	no	—
812	C₂×C₄×C₈₉	—	8	2	no	—
813	C₂×C₄×C₈₉	—	8	2	no	—
814	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
815	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
816	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
817	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
818	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
819	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
820	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
821	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
822	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
823	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
824	C₂²×C₈₉	—	2	2	no	—
825	C₂²×C₈₉	—	2	2	no	—
826	C₂²×C₈₉	—	2	2	no	—
827	C₂²×C₈₉	—	2	2	no	—
828	C₂²×C₈₉	—	2	2	no	—
829	C₂²×C₈₉	—	2	2	no	—
830	C₂²×C₈₉	—	2	2	no	—
831	C₂²×C₈₉	—	2	2	no	—
832	C₂²×C₈₉	—	2	2	no	—
833	C₂²×C₈₉	—	2	2	no	—
834	C₂²×C₈₉	—	2	2	no	—
835	C₂²×C₈₉	—	2	2	no	—
836	C₂²×C₈₉	—	2	2	no	—
837	C₂²×C₈₉	—	2	2	no	—
838	C₂²×C₈₉	—	2	2	no	—
839	C₂²×C₈₉	—	4	16	no	—
840	C₂²×C₈₉	—	4	1	no	—
841	C₂²×C₈₉	—	4	1	no	—
842	C₂²×C₈₉	—	4	1	no	—
843	C₂²×C₈₉	—	4	1	no	—
844	C₂²×C₈₉	—	4	1	no	—
845	C₂²×C₈₉	—	4	1	no	—
846	C₂²×C₈₉	—	4	1	no	—
847	C₂²×C₈₉	—	4	1	no	—
848	C₂²×C₈₉	—	4	1	no	—
849	C₂²×C₈₉	—	4	1	no	—
850	C₂²×C₈₉	—	4	1	no	—
851	C₂²×C₈₉	—	4	1	no	—
852	C₂²×C₈₉	—	4	1	no	—
853	C₂²×C₈₉	—	4	1	no	—
854	C₂²×C₈₉	—	4	1	no	—
855	C₂²×C₈₉	—	4	1	no	—
856	C₂²×C₈₉	—	4	1	no	—
857	C₂²×C₈₉	—	4	1	no	—
858	C₂²×C₈₉	—	4	1	no	—
859	C₂²×C₈₉	—	4	1	no	—
860	C₂²×C₈₉	—	4	1	no	—
861	C₂²×C₈₉	—	4	1	no	—
862	C₂²×C₈₉	—	4	1	no	—
863	C₂²×C₈₉	—	4	1	no	—
864	C₂²×C₈₉	—	4	1	no	—
865	C₂²×C₈₉	—	4	1	no	—
866	C₂²×C₈₉	—	4	1	no	—
867	C₂²×C₈₉	—	4	1	no	—
868	C₂²×C₈₉	—	4	1	no	—
869	C₂²×C₈₉	—	4	1	no	—
870	C₂²×C₈₉	—	4	1	no	—
871	C₂²×C₈₉	—	4	1	no	—
872	C₂²×C₈₉	—	4	1	no	—
873	C₂²×C₈₉	—	4	1	no	—
874	C₂²×C₈₉	—	4	1	no	—
875	C₂²×C₈₉	—	4	1	no	—
876	C₂²×C₈₉	—	4	1	no	—
877	C₂²×C₈₉	—	4	1	no	—
878	C₂²×C₈₉	—	4	1	no	—
879	C₂²×C₈₉	—	4	1	no	—
880	C₂²×C₈₉	—	8	8	no	—
881	C₂²×C₈₉	#532	1	4	yes	—
882	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
883	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
884	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
885	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
886	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
887	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
888	C₂²×C₈₉	#585	1	1	yes	characteristic
889	C₄×C₈₉	—	2	2	no	—
890	C₄×C₈₉	—	2	2	no	—
891	C₄×C₈₉	—	2	2	no	—
892	C₄×C₈₉	—	2	2	no	—
893	C₄×C₈₉	—	2	2	no	—
894	C₄×C₈₉	—	2	2	no	—
895	C₄×C₈₉	—	2	2	no	—
896	C₄×C₈₉	—	2	2	no	—
897	C₄×C₈₉	—	2	2	no	—
898	C₄×C₈₉	—	2	2	no	—
899	C₄×C₈₉	—	4	1	no	—
900	C₄×C₈₉	—	4	1	no	—
901	C₄×C₈₉	—	4	1	no	—
902	C₄×C₈₉	—	4	1	no	—
903	C₄×C₈₉	—	4	1	no	—
904	C₄×C₈₉	—	4	1	no	—
905	C₄×C₈₉	—	4	1	no	—
906	C₄×C₈₉	—	4	1	no	—
907	C₄×C₈₉	—	4	1	no	—
908	C₄×C₈₉	—	4	1	no	—
909	C₄×C₈₉	—	4	1	no	—
910	C₄×C₈₉	—	4	1	no	—
911	C₄×C₈₉	—	4	1	no	—
912	#35392	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
913	C₂×C₈₉	—	2	4	no	—
914	C₂×C₈₉	—	4	2	no	—
915	C₂×C₈₉	—	4	2	no	—
916	C₂×C₈₉	—	4	2	no	—
917	C₂×C₈₉	—	8	1	no	—
918	C₂×C₈₉	—	8	1	no	—
919	C₂×C₈₉	—	8	1	no	—
920	C₂×C₈₉	—	8	1	no	—
921	C₂×C₈₉	C₂×#532	1	1	yes	characteristic
922	C₂×C₈₉	#3484	1	1	yes	characteristic
923	C₂×C₈₉	#3488	1	1	yes	characteristic
924	C₂×C₈₉	#3490	1	1	yes	characteristic
925	C₂×C₈₉	#3506	1	1	yes	characteristic
926	C₂×C₈₉	#3513	1	1	yes	characteristic
927	C₂×C₈₉	#3519	1	1	yes	characteristic
928	C₂×#538	C₂×C₈₉	1	1	yes	characteristic, complemented
929	C₂×#525	C₂×C₈₉	1	1	yes	characteristic, complemented
930	#2610	C₂×C₈₉	1	1	yes	characteristic, complemented
931	#2603	C₂×C₈₉	1	1	yes	characteristic, complemented
932	#2602	C₂×C₈₉	1	1	yes	characteristic, complemented
933	#2601	C₂×C₈₉	1	1	yes	characteristic, complemented
934	#2560	C₂×C₈₉	1	1	yes	characteristic, complemented
935	#2557	C₂×C₈₉	1	1	yes	characteristic, complemented
936	#2555	C₂×C₈₉	1	1	yes	characteristic, complemented
937	#2554	C₂×C₈₉	1	1	yes	characteristic, complemented
938	#2549	C₂×C₈₉	1	1	yes	characteristic, complemented
939	#2544	C₂×C₈₉	1	1	yes	characteristic, complemented
940	#2543	C₂×C₈₉	1	1	yes	characteristic, complemented
941	#2543	C₂×C₈₉	1	1	yes	characteristic, complemented
942	#2472	C₂×C₈₉	1	1	yes	characteristic, complemented
943	#2472	C₂×C₈₉	1	1	yes	characteristic, complemented
944	#2464	C₂×C₈₉	1	1	yes	characteristic, complemented
945	#2461	C₂×C₈₉	1	1	yes	characteristic, complemented
946	#2445	C₂×C₈₉	1	1	yes	characteristic, complemented
947	#2433	C₂×C₈₉	1	1	yes	characteristic, complemented
948	#2431	C₂×C₈₉	1	1	yes	characteristic, complemented
949	#2430	C₂×C₈₉	1	1	yes	characteristic, complemented
950	#2428	C₂×C₈₉	1	1	yes	characteristic, complemented
951	#2424	C₂×C₈₉	1	1	yes	characteristic, complemented
952	#2424	C₂×C₈₉	1	1	yes	characteristic, complemented
953	#2408	C₂×C₈₉	1	1	yes	characteristic, complemented
954	#2325	C₂×C₈₉	1	1	yes	characteristic, complemented
955	#2321	C₂×C₈₉	1	1	yes	characteristic, complemented
956	C₄×#120	C₂×C₈₉	1	1	yes	characteristic, complemented
957	C₂×#386	C₂×C₈₉	1	1	yes	characteristic, complemented
958	#2275	C₂×C₈₉	1	1	yes	characteristic, complemented
959	C₈₉	#35392	1	1	yes	characteristic, direct product factor, Sylow
960	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
961	C₂³×D₄	C₂²×C₈₉	1	1	yes	characteristic
962	C₂⁴×C₄	C₂²×C₈₉	1	1	yes	characteristic
963	#538	—	2	8	no	—
964	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic
965	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic
966	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic, complemented
967	C₂×#126	C₂²×C₈₉	1	1	yes	characteristic, complemented
968	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
969	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
972	#525	—	2	8	no	—
973	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
974	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
975	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
976	C₂×#123	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
978	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
979	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
981	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
982	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
983	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
984	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
985	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
989	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
991	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
992	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
993	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
994	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
995	C₂×#120	C₂²×C₈₉	1	1	yes	characteristic
996	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
997	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
998	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
999	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
1000	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
1001	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1002	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1003	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1004	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1005	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
1006	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1007	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1008	C₂²×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1009	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
1011	#398	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
1013	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
1014	#397	C₂²×C₈₉	1	1	yes	characteristic, complemented
1015	#396	C₂²×C₈₉	1	1	yes	characteristic, complemented
1016	#396	C₂²×C₈₉	1	1	yes	characteristic, complemented
1017	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
1018	#395	C₂²×C₈₉	1	1	yes	characteristic, complemented
1019	#394	C₂²×C₈₉	1	1	yes	characteristic
1020	#394	C₂²×C₈₉	1	1	yes	characteristic
1021	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1022	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1023	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1024	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1025	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1026	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1027	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1028	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1029	#394	C₂²×C₈₉	1	1	yes	characteristic, complemented
1030	#393	C₂²×C₈₉	1	1	yes	characteristic, complemented
1031	#393	C₂²×C₈₉	1	1	yes	characteristic, complemented
1032	#392	C₂²×C₈₉	1	1	yes	characteristic
1033	#392	C₂²×C₈₉	1	1	yes	characteristic
1034	#392	C₂²×C₈₉	1	1	yes	characteristic
1035	#392	C₂²×C₈₉	1	1	yes	characteristic
1036	#392	C₂²×C₈₉	1	1	yes	characteristic
1037	#392	C₂²×C₈₉	1	1	yes	characteristic
1038	#392	C₂²×C₈₉	1	1	yes	characteristic, complemented
1039	#392	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	#392	C₂²×C₈₉	1	1	yes	characteristic, complemented
1041	#391	C₂²×C₈₉	1	1	yes	characteristic, complemented
1042	#391	C₂²×C₈₉	1	1	yes	characteristic, complemented
1043	#390	C₂²×C₈₉	1	1	yes	characteristic
1044	#390	C₂²×C₈₉	1	1	yes	characteristic
1045	#390	C₂²×C₈₉	1	1	yes	characteristic
1046	#390	C₂²×C₈₉	1	1	yes	characteristic
1047	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1048	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1049	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1050	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1051	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1052	#390	C₂²×C₈₉	1	1	yes	characteristic, complemented
1053	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
1054	#389	C₂²×C₈₉	1	1	yes	characteristic, complemented
1055	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1056	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1057	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1058	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1059	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1060	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1061	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1062	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1063	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1064	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1065	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1066	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1067	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1068	#388	C₂²×C₈₉	1	1	yes	characteristic, complemented
1069	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
1070	#387	C₂²×C₈₉	1	1	yes	characteristic, complemented
1071	#386	C₂²×C₈₉	1	1	yes	characteristic
1072	#386	C₂²×C₈₉	1	1	yes	characteristic
1073	#386	C₂²×C₈₉	1	1	yes	characteristic
1074	#386	C₂²×C₈₉	1	1	yes	characteristic
1075	#386	C₂²×C₈₉	1	1	yes	characteristic
1076	#386	C₂²×C₈₉	1	1	yes	characteristic
1077	#386	C₂²×C₈₉	1	1	yes	characteristic
1078	#386	C₂²×C₈₉	1	1	yes	characteristic
1079	#386	C₂²×C₈₉	1	1	yes	characteristic
1080	#386	C₂²×C₈₉	1	1	yes	characteristic
1081	#386	C₂²×C₈₉	1	1	yes	characteristic
1082	#386	C₂²×C₈₉	1	1	yes	characteristic
1083	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1084	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1085	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1086	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1087	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1088	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1089	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1090	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1091	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1092	#386	C₂²×C₈₉	1	1	yes	characteristic, complemented
1093	#385	C₂²×C₈₉	1	1	yes	characteristic
1094	#385	C₂²×C₈₉	1	1	yes	characteristic
1095	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1096	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1097	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1098	#385	C₂²×C₈₉	1	1	yes	characteristic, complemented
1099	#380	C₂²×C₈₉	1	1	yes	characteristic
1100	#379	C₂²×C₈₉	1	1	yes	characteristic
1101	#379	C₂²×C₈₉	1	1	yes	characteristic
1102	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1103	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1104	C₄×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1105	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1106	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1107	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
1108	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1109	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1110	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1111	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1112	C₄×C₂²⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1113	#376	C₂²×C₈₉	1	1	yes	characteristic, complemented
1114	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
1115	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic
1116	C₂×#95	C₂²×C₈₉	1	1	yes	characteristic, complemented
1117	C₂⁵	C₂³×C₈₉	1	1	yes	characteristic
1118	C₂⁵	C₂³×C₈₉	1	1	yes	characteristic
1119	C₂×#41	—	2	4	no	—
1120	C₂×#41	—	4	2	no	—
1121	C₂×#41	—	4	2	no	—
1122	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1123	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1124	C₂²×D₄	—	2	4	no	—
1125	C₂²×D₄	—	4	2	no	—
1126	C₂²×D₄	—	4	2	no	—
1127	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1128	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1129	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1130	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1131	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1132	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1133	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1134	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1135	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1136	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1137	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1138	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1139	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1140	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1141	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1142	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1143	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1144	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1145	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1146	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1147	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1148	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1149	C₂³×C₄	—	2	4	no	—
1150	C₂³×C₄	—	4	2	no	—
1151	C₂³×C₄	—	4	2	no	—
1152	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1153	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1154	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1155	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1156	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1157	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1158	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1159	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1160	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1161	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1162	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1163	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1164	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1165	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1166	#127	—	4	2	no	—
1167	#127	—	4	2	no	—
1168	#126	—	2	4	no	—
1169	#126	—	2	4	no	—
1170	#124	—	2	4	no	—
1171	#124	—	2	4	no	—
1172	#124	—	4	2	no	—
1173	#124	—	4	2	no	—
1174	#123	—	2	4	no	—
1175	#123	—	2	4	no	—
1176	#123	—	2	4	no	—
1177	#123	—	2	4	no	—
1178	C₂²⋊Q₈	—	2	4	no	—
1179	C₂²⋊Q₈	—	2	4	no	—
1180	C₂²⋊Q₈	—	2	4	no	—
1181	#121	—	2	4	no	—
1182	#121	—	2	4	no	—
1183	#121	—	2	4	no	—
1184	#121	—	2	4	no	—
1185	#121	—	2	4	no	—
1186	#121	—	2	4	no	—
1187	#121	—	4	2	no	—
1188	#121	—	4	2	no	—
1189	#121	—	4	2	no	—
1190	#121	—	4	2	no	—
1191	#120	—	2	4	no	—
1192	#120	—	2	4	no	—
1193	#120	—	2	4	no	—
1194	#120	—	2	4	no	—
1195	#120	—	2	4	no	—
1196	#120	—	2	4	no	—
1197	C₄×D₄	—	2	4	no	—
1198	C₄×D₄	—	2	4	no	—
1199	C₄×D₄	—	2	4	no	—
1200	C₄×D₄	—	2	4	no	—
1201	C₄×D₄	—	2	4	no	—
1202	C₄×D₄	—	2	4	no	—
1203	C₄×D₄	—	4	2	no	—
1204	C₄×D₄	—	4	2	no	—
1205	C₄×D₄	D₄×C₈₉	1	8	yes	complemented
1206	#117	—	2	4	no	—
1207	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1208	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1210	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1211	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1216	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1219	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1222	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1223	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1224	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1226	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1227	C₂×C₂²⋊C₄	—	2	4	no	—
1228	C₂×C₂²⋊C₄	—	4	2	no	—
1229	C₂×C₂²⋊C₄	—	4	2	no	—
1230	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1231	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1232	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1233	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1235	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1236	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1238	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1239	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1240	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1241	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1242	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1249	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1250	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1253	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1256	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1258	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1259	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1261	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1262	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1264	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1265	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1266	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1268	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1270	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1271	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1274	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1275	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1277	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1278	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1279	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1280	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1283	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1284	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1285	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1286	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1287	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1288	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1289	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1290	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1291	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1292	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1293	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1294	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1295	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1296	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1297	#95	C₂³×C₈₉	1	1	yes	characteristic
1298	#95	C₂³×C₈₉	1	1	yes	characteristic
1299	#95	C₂³×C₈₉	1	1	yes	characteristic
1300	#95	C₂³×C₈₉	1	1	yes	characteristic
1301	#95	C₂³×C₈₉	1	1	yes	characteristic
1302	#95	C₂³×C₈₉	1	1	yes	characteristic
1303	#95	C₂³×C₈₉	1	1	yes	characteristic
1304	#95	C₂³×C₈₉	1	1	yes	characteristic
1305	#95	C₂³×C₈₉	1	1	yes	characteristic
1306	#95	C₂³×C₈₉	1	1	yes	characteristic
1307	#95	C₂³×C₈₉	1	1	yes	characteristic
1308	#95	C₂³×C₈₉	1	1	yes	characteristic
1309	#95	C₂³×C₈₉	1	1	yes	characteristic
1310	#95	C₂³×C₈₉	1	1	yes	characteristic
1311	#95	C₂³×C₈₉	1	1	yes	characteristic
1312	#95	C₂³×C₈₉	1	1	yes	characteristic
1313	#95	C₂³×C₈₉	1	1	yes	characteristic
1314	#95	C₂³×C₈₉	1	1	yes	characteristic
1315	#95	C₂³×C₈₉	1	1	yes	characteristic
1316	#95	C₂³×C₈₉	1	1	yes	characteristic
1317	#95	C₂³×C₈₉	1	1	yes	characteristic
1318	#95	C₂³×C₈₉	1	1	yes	characteristic
1319	#95	C₂³×C₈₉	1	1	yes	characteristic
1320	#95	C₂³×C₈₉	1	1	yes	characteristic
1321	#95	C₂³×C₈₉	1	1	yes	characteristic
1322	#95	C₂³×C₈₉	1	1	yes	characteristic
1323	#95	C₂³×C₈₉	1	1	yes	characteristic
1324	#95	C₂³×C₈₉	1	1	yes	characteristic
1325	C₂⁴	—	2	2	no	—
1326	C₂⁴	—	2	2	no	—
1327	C₂⁴	—	2	2	no	—
1328	C₂⁴	—	2	2	no	—
1329	C₂⁴	—	2	2	no	—
1330	C₂⁴	—	2	2	no	—
1331	C₂⁴	—	2	2	no	—
1332	C₂⁴	—	2	2	no	—
1333	C₂⁴	—	4	1	no	—
1334	C₂⁴	—	4	1	no	—
1335	C₂⁴	—	4	1	no	—
1336	C₂⁴	—	4	1	no	—
1337	C₂⁴	—	4	1	no	—
1338	C₂⁴	—	4	1	no	—
1339	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1340	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1341	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1342	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1343	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1344	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1345	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1346	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1347	#41	—	4	16	no	—
1348	C₂×Q₈	—	2	2	no	—
1349	C₂×Q₈	—	2	2	no	—
1350	C₂×Q₈	—	2	2	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	—	4	1	no	—
1354	C₂×D₄	—	2	2	no	—
1355	C₂×D₄	—	2	2	no	—
1356	C₂×D₄	—	2	2	no	—
1357	C₂×D₄	—	2	2	no	—
1358	C₂×D₄	—	2	2	no	—
1359	C₂×D₄	—	2	2	no	—
1360	C₂×D₄	—	2	2	no	—
1361	C₂×D₄	—	2	2	no	—
1362	C₂×D₄	—	2	2	no	—
1363	C₂×D₄	—	2	2	no	—
1364	C₂×D₄	—	2	2	no	—
1365	C₂×D₄	—	2	2	no	—
1366	C₂×D₄	—	2	2	no	—
1367	C₂×D₄	—	2	2	no	—
1368	C₂×D₄	—	2	2	no	—
1369	C₂×D₄	—	2	2	no	—
1370	C₂×D₄	—	2	2	no	—
1371	C₂×D₄	—	2	2	no	—
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	2	no	—
1374	C₂×D₄	—	2	2	no	—
1375	C₂×D₄	—	2	2	no	—
1376	C₂×D₄	—	2	2	no	—
1377	C₂×D₄	—	2	2	no	—
1378	C₂×D₄	—	2	2	no	—
1379	C₂×D₄	—	2	2	no	—
1380	C₂×D₄	—	2	2	no	—
1381	C₂×D₄	—	2	2	no	—
1382	C₂×D₄	—	2	2	no	—
1383	C₂×D₄	—	2	2	no	—
1384	C₂×D₄	—	2	2	no	—
1385	C₂×D₄	—	2	2	no	—
1386	C₂×D₄	—	2	2	no	—
1387	C₂×D₄	—	2	2	no	—
1388	C₂×D₄	—	2	2	no	—
1389	C₂×D₄	—	2	2	no	—
1390	C₂×D₄	—	2	2	no	—
1391	C₂×D₄	—	2	2	no	—
1392	C₂×D₄	—	4	1	no	—
1393	C₂×D₄	—	4	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	4	1	no	—
1398	C₂×D₄	—	4	1	no	—
1399	C₂×D₄	—	4	1	no	—
1400	C₂×D₄	—	4	1	no	—
1401	C₂×D₄	—	4	1	no	—
1402	C₂×D₄	—	4	1	no	—
1403	C₂×D₄	—	4	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	4	1	no	—
1406	C₂×D₄	—	4	1	no	—
1407	C₂×D₄	—	4	1	no	—
1408	C₂×D₄	—	4	1	no	—
1409	C₂×D₄	—	4	1	no	—
1410	C₂×D₄	—	4	1	no	—
1411	C₂×D₄	—	4	1	no	—
1412	C₂×D₄	—	4	1	no	—
1413	C₂×D₄	—	4	1	no	—
1414	C₂×D₄	—	4	1	no	—
1415	C₂×D₄	—	4	1	no	—
1416	C₂×D₄	—	4	1	no	—
1417	C₂×D₄	—	4	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	16	no	—
1420	C₂×D₄	C₂×D₄×C₈₉	1	4	yes	—
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	—	4	1	no	—
1438	C₂²×C₄	—	4	1	no	—
1439	C₂²×C₄	—	4	1	no	—
1440	C₂²×C₄	—	4	1	no	—
1441	C₂²×C₄	—	4	1	no	—
1442	C₂²×C₄	—	4	1	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	—	4	1	no	—
1459	C₂²×C₄	—	4	1	no	—
1460	C₂²×C₄	—	4	16	no	—
1461	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
1462	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	complemented
1463	C₂²×C₄	#41×C₈₉	1	4	yes	complemented
1464	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1465	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1466	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1467	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1468	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1469	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1470	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1471	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1472	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1473	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1474	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1475	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1476	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1477	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1479	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1480	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1481	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1482	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1483	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1484	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1487	C₄⋊C₄	—	2	2	no	—
1488	C₄⋊C₄	—	2	2	no	—
1489	C₄⋊C₄	—	2	2	no	—
1490	C₄⋊C₄	—	2	2	no	—
1491	C₄⋊C₄	—	2	2	no	—
1492	C₄⋊C₄	—	2	2	no	—
1493	C₄⋊C₄	—	2	2	no	—
1494	C₄⋊C₄	—	2	2	no	—
1495	C₄⋊C₄	—	2	2	no	—
1496	C₄⋊C₄	—	2	2	no	—
1497	C₄⋊C₄	—	2	2	no	—
1498	C₄⋊C₄	—	2	2	no	—
1499	C₄⋊C₄	—	2	2	no	—
1500	C₄⋊C₄	—	2	2	no	—
1501	C₄⋊C₄	—	4	1	no	—
1502	C₄⋊C₄	—	4	1	no	—
1503	C₄⋊C₄	—	4	1	no	—
1504	C₄⋊C₄	—	4	1	no	—
1505	C₄⋊C₄	—	4	1	no	—
1506	C₄⋊C₄	C₂×D₄×C₈₉	1	4	yes	complemented
1507	C₂²⋊C₄	—	2	2	no	—
1508	C₂²⋊C₄	—	2	2	no	—
1509	C₂²⋊C₄	—	2	2	no	—
1510	C₂²⋊C₄	—	2	2	no	—
1511	C₂²⋊C₄	—	2	2	no	—
1512	C₂²⋊C₄	—	2	2	no	—
1513	C₂²⋊C₄	—	2	2	no	—
1514	C₂²⋊C₄	—	2	2	no	—
1515	C₂²⋊C₄	—	2	2	no	—
1516	C₂²⋊C₄	—	2	2	no	—
1517	C₂²⋊C₄	—	2	2	no	—
1518	C₂²⋊C₄	—	2	2	no	—
1519	C₂²⋊C₄	—	2	2	no	—
1520	C₂²⋊C₄	—	2	2	no	—
1521	C₂²⋊C₄	—	2	2	no	—
1522	C₂²⋊C₄	—	2	2	no	—
1523	C₂²⋊C₄	—	2	2	no	—
1524	C₂²⋊C₄	—	2	2	no	—
1525	C₂²⋊C₄	—	2	2	no	—
1526	C₂²⋊C₄	—	2	2	no	—
1527	C₂²⋊C₄	—	2	2	no	—
1528	C₂²⋊C₄	—	2	2	no	—
1529	C₂²⋊C₄	—	2	2	no	—
1530	C₂²⋊C₄	—	2	2	no	—
1531	C₂²⋊C₄	—	2	2	no	—
1532	C₂²⋊C₄	—	2	2	no	—
1533	C₂²⋊C₄	—	2	2	no	—
1534	C₂²⋊C₄	—	2	2	no	—
1535	C₂²⋊C₄	—	2	2	no	—
1536	C₂²⋊C₄	—	2	2	no	—
1537	C₂²⋊C₄	—	2	2	no	—
1538	C₂²⋊C₄	—	2	2	no	—
1539	C₂²⋊C₄	—	2	2	no	—
1540	C₂²⋊C₄	—	2	2	no	—
1541	C₂²⋊C₄	—	2	2	no	—
1542	C₂²⋊C₄	—	2	2	no	—
1543	C₂²⋊C₄	—	4	1	no	—
1544	C₂²⋊C₄	—	4	1	no	—
1545	C₂²⋊C₄	—	4	1	no	—
1546	C₂²⋊C₄	—	4	1	no	—
1547	C₂²⋊C₄	—	4	1	no	—
1548	C₂²⋊C₄	—	4	1	no	—
1549	C₂²⋊C₄	—	4	1	no	—
1550	C₂²⋊C₄	—	4	1	no	—
1551	C₂²⋊C₄	—	4	1	no	—
1552	C₂²⋊C₄	—	4	1	no	—
1553	C₂²⋊C₄	—	4	1	no	—
1554	C₂²⋊C₄	—	4	1	no	—
1555	C₂²⋊C₄	—	4	1	no	—
1556	C₂²⋊C₄	—	4	1	no	—
1557	C₂²⋊C₄	—	4	1	no	—
1558	C₂²⋊C₄	—	4	1	no	—
1559	C₂²⋊C₄	—	4	1	no	—
1560	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
1561	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	complemented
1562	C₂²⋊C₄	#41×C₈₉	1	4	yes	complemented
1563	C₄²	—	2	2	no	—
1564	C₄²	—	2	2	no	—
1565	C₄²	—	2	2	no	—
1566	C₄²	—	2	2	no	—
1567	C₄²	—	4	1	no	—
1568	C₄²	—	4	1	no	—
1569	C₄²	—	4	1	no	—
1570	C₄²	—	4	1	no	—
1571	C₄²	—	4	1	no	—
1572	C₄²	—	4	1	no	—
1573	C₄²	C₂×D₄×C₈₉	1	4	yes	complemented
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	2	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	2	8	no	—
1579	C₂³	—	2	1	no	—
1580	C₂³	—	2	1	no	—
1581	C₂³	—	2	1	no	—
1582	C₂³	—	2	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	2	1	no	—
1589	C₂³	—	2	1	no	—
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	1	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	2	1	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	2	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	2	1	no	—
1618	C₂³	—	2	1	no	—
1619	C₂³	—	2	1	no	—
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	4	4	no	—
1626	C₂³	—	4	4	no	—
1627	C₂³	—	4	4	no	—
1628	C₂³	—	4	4	no	—
1629	C₂³	—	4	4	no	—
1630	C₂³	—	4	4	no	—
1631	C₂³	—	4	4	no	—
1632	C₂³	—	4	4	no	—
1633	C₂³	—	4	4	no	—
1634	C₂³	—	8	2	no	—
1635	C₂³	—	8	2	no	—
1636	C₂³	—	8	2	no	—
1637	C₂³	—	8	2	no	—
1638	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1639	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1640	C₂³	C₂×#41×C₈₉	1	2	yes	—
1641	C₂³	C₂×#41×C₈₉	1	2	yes	—
1642	C₂³	H(5,𝔽₂)×C₈₉	1	2	yes	—
1643	C₂³	H(5,𝔽₂)×C₈₉	1	2	yes	—
1644	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1645	Q₈	—	4	4	no	—
1646	Q₈	—	8	2	no	—
1647	D₄	—	2	8	no	—
1648	D₄	—	4	4	no	—
1649	D₄	—	4	4	no	—
1650	D₄	—	4	4	no	—
1651	D₄	—	4	4	no	—
1652	D₄	—	4	4	no	—
1653	D₄	—	4	4	no	—
1654	D₄	—	4	4	no	—
1655	D₄	—	4	4	no	—
1656	D₄	—	4	4	no	—
1657	D₄	—	4	4	no	—
1658	D₄	—	4	4	no	—
1659	D₄	—	4	4	no	—
1660	D₄	—	4	4	no	—
1661	D₄	—	8	2	no	—
1662	D₄	—	8	2	no	—
1663	D₄	—	8	2	no	—
1664	D₄	—	8	2	no	—
1665	D₄	—	8	2	no	—
1666	D₄	—	8	2	no	—
1667	D₄	—	8	2	no	—
1668	D₄	—	8	2	no	—
1669	C₂×C₄	—	2	8	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	4	4	no	—
1730	C₂×C₄	—	4	4	no	—
1731	C₂×C₄	—	4	4	no	—
1732	C₂×C₄	—	4	4	no	—
1733	C₂×C₄	—	4	4	no	—
1734	C₂×C₄	—	4	4	no	—
1735	C₂×C₄	—	4	4	no	—
1736	C₂×C₄	—	4	4	no	—
1737	C₂×C₄	—	8	2	no	—
1738	C₂×C₄	—	8	2	no	—
1739	C₂×C₄	—	8	2	no	—
1740	C₂×C₄	—	8	2	no	—
1741	C₂×C₄	—	8	2	no	—
1742	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1743	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1744	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1745	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1746	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1747	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1748	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1749	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1750	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
1751	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
1752	C₂²	—	2	2	no	—
1753	C₂²	—	2	2	no	—
1754	C₂²	—	2	2	no	—
1755	C₂²	—	2	2	no	—
1756	C₂²	—	2	2	no	—
1757	C₂²	—	2	2	no	—
1758	C₂²	—	2	2	no	—
1759	C₂²	—	2	2	no	—
1760	C₂²	—	2	2	no	—
1761	C₂²	—	2	2	no	—
1762	C₂²	—	2	2	no	—
1763	C₂²	—	2	2	no	—
1764	C₂²	—	2	2	no	—
1765	C₂²	—	2	2	no	—
1766	C₂²	—	2	2	no	—
1767	C₂²	—	4	16	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	8	8	no	—
1809	C₂²	#532×C₈₉	1	4	yes	—
1810	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1811	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1812	C₂²	C₂²×#41×C₈₉	1	1	yes	characteristic
1813	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1814	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1815	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1816	C₂²	#585×C₈₉	1	1	yes	characteristic
1817	C₄	—	2	2	no	—
1818	C₄	—	2	2	no	—
1819	C₄	—	2	2	no	—
1820	C₄	—	2	2	no	—
1821	C₄	—	2	2	no	—
1822	C₄	—	2	2	no	—
1823	C₄	—	2	2	no	—
1824	C₄	—	2	2	no	—
1825	C₄	—	2	2	no	—
1826	C₄	—	2	2	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₂	—	2	4	no	—
1841	C₂	—	4	2	no	—
1842	C₂	—	4	2	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	C₂×#532×C₈₉	1	1	yes	characteristic
1849	C₂	C₈₉×#3484	1	1	yes	characteristic
1850	C₂	C₈₉×#3488	1	1	yes	characteristic
1851	C₂	C₈₉×#3490	1	1	yes	characteristic
1852	C₂	C₈₉×#3506	1	1	yes	characteristic
1853	C₂	C₈₉×#3513	1	1	yes	characteristic
1854	C₂	C₈₉×#3519	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×#538×C₈₉	C₂	semidirect
2. C₂×#525×C₈₉	C₂	semidirect
3. C₈₉×#2610	C₂	semidirect
4. C₈₉×#2603	C₂	semidirect
5. C₈₉×#2602	C₂	semidirect
6. C₈₉×#2601	C₂	semidirect
7. C₈₉×#2560	C₂	semidirect
8. C₈₉×#2557	C₂	semidirect
9. C₈₉×#2555	C₂	semidirect
10. C₈₉×#2554	C₂	semidirect
11. C₈₉×#2549	C₂	semidirect
12. C₈₉×#2544	C₂	semidirect
13. C₈₉×#2543	C₂	semidirect
14. C₈₉×#2543	C₂	semidirect
15. C₈₉×#2472	C₂	semidirect
16. C₈₉×#2472	C₂	semidirect
17. C₈₉×#2464	C₂	semidirect
18. C₈₉×#2461	C₂	semidirect
19. C₈₉×#2445	C₂	semidirect
20. C₈₉×#2433	C₂	semidirect
21. C₈₉×#2431	C₂	semidirect
22. C₈₉×#2430	C₂	semidirect
23. C₈₉×#2428	C₂	semidirect
24. C₈₉×#2424	C₂	semidirect
25. C₈₉×#2424	C₂	semidirect
26. C₈₉×#2408	C₂	semidirect
27. C₈₉×#2325	C₂	semidirect
28. C₈₉×#2321	C₂	semidirect
29. C₄×#120×C₈₉	C₂	semidirect
30. C₂×#386×C₈₉	C₂	semidirect
31. C₈₉×#2275	C₂	semidirect
32. C₂²×#41×C₈₉	C₂²	semidirect
38. C₂×#126×C₈₉	C₂²	semidirect
39. C₂×#126×C₈₉	C₂²	semidirect
40. C₂×#124×C₈₉	C₂²	semidirect
41. C₂×#124×C₈₉	C₂²	semidirect
42. C₂×#124×C₈₉	C₂²	semidirect
43. C₂×#124×C₈₉	C₂²	semidirect
45. C₂×#123×C₈₉	C₂²	semidirect
46. C₂×#123×C₈₉	C₂²	semidirect
47. C₂×#123×C₈₉	C₂²	semidirect
48. C₂×#123×C₈₉	C₂²	semidirect
51. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
57. C₂×#121×C₈₉	C₂²	semidirect
58. C₂×#121×C₈₉	C₂²	semidirect
59. C₂×#121×C₈₉	C₂²	semidirect
60. C₂×#121×C₈₉	C₂²	semidirect
61. C₂×#121×C₈₉	C₂²	semidirect
73. C₂×C₄×D₄×C₈₉	C₂²	semidirect
74. C₂×C₄×D₄×C₈₉	C₂²	semidirect
75. C₂×C₄×D₄×C₈₉	C₂²	semidirect
76. C₂×C₄×D₄×C₈₉	C₂²	semidirect
77. C₂×#117×C₈₉	C₂²	semidirect
81. #398×C₈₉	C₂²	semidirect
82. #398×C₈₉	C₂²	semidirect
83. #398×C₈₉	C₂²	semidirect
84. #397×C₈₉	C₂²	semidirect
85. #397×C₈₉	C₂²	semidirect
86. #397×C₈₉	C₂²	semidirect
87. #396×C₈₉	C₂²	semidirect
88. #396×C₈₉	C₂²	semidirect
89. #395×C₈₉	C₂²	semidirect
90. #395×C₈₉	C₂²	semidirect
93. #394×C₈₉	C₂²	semidirect
94. #394×C₈₉	C₂²	semidirect
95. #394×C₈₉	C₂²	semidirect
96. #394×C₈₉	C₂²	semidirect
97. #394×C₈₉	C₂²	semidirect
98. #394×C₈₉	C₂²	semidirect
99. #394×C₈₉	C₂²	semidirect
100. #394×C₈₉	C₂²	semidirect
101. #394×C₈₉	C₂²	semidirect
102. #393×C₈₉	C₂²	semidirect
103. #393×C₈₉	C₂²	semidirect
110. #392×C₈₉	C₂²	semidirect
111. #392×C₈₉	C₂²	semidirect
112. #392×C₈₉	C₂²	semidirect
113. #391×C₈₉	C₂²	semidirect
114. #391×C₈₉	C₂²	semidirect
119. #390×C₈₉	C₂²	semidirect
120. #390×C₈₉	C₂²	semidirect
121. #390×C₈₉	C₂²	semidirect
122. #390×C₈₉	C₂²	semidirect
123. #390×C₈₉	C₂²	semidirect
124. #390×C₈₉	C₂²	semidirect
125. #389×C₈₉	C₂²	semidirect
126. #389×C₈₉	C₂²	semidirect
127. #388×C₈₉	C₂²	semidirect
128. #388×C₈₉	C₂²	semidirect
129. #388×C₈₉	C₂²	semidirect
130. #388×C₈₉	C₂²	semidirect
131. #388×C₈₉	C₂²	semidirect
132. #388×C₈₉	C₂²	semidirect
133. #388×C₈₉	C₂²	semidirect
134. #388×C₈₉	C₂²	semidirect
135. #388×C₈₉	C₂²	semidirect
136. #388×C₈₉	C₂²	semidirect
137. #388×C₈₉	C₂²	semidirect
138. #388×C₈₉	C₂²	semidirect
139. #388×C₈₉	C₂²	semidirect
140. #388×C₈₉	C₂²	semidirect
141. #387×C₈₉	C₂²	semidirect
142. #387×C₈₉	C₂²	semidirect
155. #386×C₈₉	C₂²	semidirect
156. #386×C₈₉	C₂²	semidirect
157. #386×C₈₉	C₂²	semidirect
158. #386×C₈₉	C₂²	semidirect
159. #386×C₈₉	C₂²	semidirect
160. #386×C₈₉	C₂²	semidirect
161. #386×C₈₉	C₂²	semidirect
162. #386×C₈₉	C₂²	semidirect
163. #386×C₈₉	C₂²	semidirect
164. #386×C₈₉	C₂²	semidirect
167. #385×C₈₉	C₂²	semidirect
168. #385×C₈₉	C₂²	semidirect
169. #385×C₈₉	C₂²	semidirect
170. #385×C₈₉	C₂²	semidirect
174. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
175. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
176. 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. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
185. #376×C₈₉	C₂²	semidirect
188. C₂×#95×C₈₉	C₂²	semidirect
277. C₄×D₄×C₈₉	D₄	semidirect
534. C₂²×C₄×C₈₉	C₂×D₄	semidirect
535. C₂²×C₄×C₈₉	#41	semidirect
578. C₄⋊C₄×C₈₉	C₂×D₄	semidirect
633. C₂²⋊C₄×C₈₉	C₂×D₄	semidirect
634. C₂²⋊C₄×C₈₉	#41	semidirect
645. C₄²×C₈₉	C₂×D₄	semidirect
912. #35392	C₈₉	direct (N × H)
928. C₂×#538	C₂×C₈₉	semidirect
929. C₂×#525	C₂×C₈₉	semidirect
930. #2610	C₂×C₈₉	semidirect
931. #2603	C₂×C₈₉	semidirect
932. #2602	C₂×C₈₉	semidirect
933. #2601	C₂×C₈₉	semidirect
934. #2560	C₂×C₈₉	semidirect
935. #2557	C₂×C₈₉	semidirect
936. #2555	C₂×C₈₉	semidirect
937. #2554	C₂×C₈₉	semidirect
938. #2549	C₂×C₈₉	semidirect
939. #2544	C₂×C₈₉	semidirect
940. #2543	C₂×C₈₉	semidirect
941. #2543	C₂×C₈₉	semidirect
942. #2472	C₂×C₈₉	semidirect
943. #2472	C₂×C₈₉	semidirect
944. #2464	C₂×C₈₉	semidirect
945. #2461	C₂×C₈₉	semidirect
946. #2445	C₂×C₈₉	semidirect
947. #2433	C₂×C₈₉	semidirect
948. #2431	C₂×C₈₉	semidirect
949. #2430	C₂×C₈₉	semidirect
950. #2428	C₂×C₈₉	semidirect
951. #2424	C₂×C₈₉	semidirect
952. #2424	C₂×C₈₉	semidirect
953. #2408	C₂×C₈₉	semidirect
954. #2325	C₂×C₈₉	semidirect
955. #2321	C₂×C₈₉	semidirect
956. C₄×#120	C₂×C₈₉	semidirect
957. C₂×#386	C₂×C₈₉	semidirect
958. #2275	C₂×C₈₉	semidirect
959. C₈₉	#35392	direct (N × H)
960. C₂²×#41	C₂²×C₈₉	semidirect
966. C₂×#126	C₂²×C₈₉	semidirect
967. C₂×#126	C₂²×C₈₉	semidirect
968. C₂×#124	C₂²×C₈₉	semidirect
969. C₂×#124	C₂²×C₈₉	semidirect
970. C₂×#124	C₂²×C₈₉	semidirect
971. C₂×#124	C₂²×C₈₉	semidirect
973. C₂×#123	C₂²×C₈₉	semidirect
974. C₂×#123	C₂²×C₈₉	semidirect
975. C₂×#123	C₂²×C₈₉	semidirect
976. C₂×#123	C₂²×C₈₉	semidirect
979. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
985. C₂×#121	C₂²×C₈₉	semidirect
986. C₂×#121	C₂²×C₈₉	semidirect
987. C₂×#121	C₂²×C₈₉	semidirect
988. C₂×#121	C₂²×C₈₉	semidirect
989. C₂×#121	C₂²×C₈₉	semidirect
1001. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1002. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1003. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1004. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1005. C₂×#117	C₂²×C₈₉	semidirect
1009. #398	C₂²×C₈₉	semidirect
1010. #398	C₂²×C₈₉	semidirect
1011. #398	C₂²×C₈₉	semidirect
1012. #397	C₂²×C₈₉	semidirect
1013. #397	C₂²×C₈₉	semidirect
1014. #397	C₂²×C₈₉	semidirect
1015. #396	C₂²×C₈₉	semidirect
1016. #396	C₂²×C₈₉	semidirect
1017. #395	C₂²×C₈₉	semidirect
1018. #395	C₂²×C₈₉	semidirect
1021. #394	C₂²×C₈₉	semidirect
1022. #394	C₂²×C₈₉	semidirect
1023. #394	C₂²×C₈₉	semidirect
1024. #394	C₂²×C₈₉	semidirect
1025. #394	C₂²×C₈₉	semidirect
1026. #394	C₂²×C₈₉	semidirect
1027. #394	C₂²×C₈₉	semidirect
1028. #394	C₂²×C₈₉	semidirect
1029. #394	C₂²×C₈₉	semidirect
1030. #393	C₂²×C₈₉	semidirect
1031. #393	C₂²×C₈₉	semidirect
1038. #392	C₂²×C₈₉	semidirect
1039. #392	C₂²×C₈₉	semidirect
1040. #392	C₂²×C₈₉	semidirect
1041. #391	C₂²×C₈₉	semidirect
1042. #391	C₂²×C₈₉	semidirect
1047. #390	C₂²×C₈₉	semidirect
1048. #390	C₂²×C₈₉	semidirect
1049. #390	C₂²×C₈₉	semidirect
1050. #390	C₂²×C₈₉	semidirect
1051. #390	C₂²×C₈₉	semidirect
1052. #390	C₂²×C₈₉	semidirect
1053. #389	C₂²×C₈₉	semidirect
1054. #389	C₂²×C₈₉	semidirect
1055. #388	C₂²×C₈₉	semidirect
1056. #388	C₂²×C₈₉	semidirect
1057. #388	C₂²×C₈₉	semidirect
1058. #388	C₂²×C₈₉	semidirect
1059. #388	C₂²×C₈₉	semidirect
1060. #388	C₂²×C₈₉	semidirect
1061. #388	C₂²×C₈₉	semidirect
1062. #388	C₂²×C₈₉	semidirect
1063. #388	C₂²×C₈₉	semidirect
1064. #388	C₂²×C₈₉	semidirect
1065. #388	C₂²×C₈₉	semidirect
1066. #388	C₂²×C₈₉	semidirect
1067. #388	C₂²×C₈₉	semidirect
1068. #388	C₂²×C₈₉	semidirect
1069. #387	C₂²×C₈₉	semidirect
1070. #387	C₂²×C₈₉	semidirect
1083. #386	C₂²×C₈₉	semidirect
1084. #386	C₂²×C₈₉	semidirect
1085. #386	C₂²×C₈₉	semidirect
1086. #386	C₂²×C₈₉	semidirect
1087. #386	C₂²×C₈₉	semidirect
1088. #386	C₂²×C₈₉	semidirect
1089. #386	C₂²×C₈₉	semidirect
1090. #386	C₂²×C₈₉	semidirect
1091. #386	C₂²×C₈₉	semidirect
1092. #386	C₂²×C₈₉	semidirect
1095. #385	C₂²×C₈₉	semidirect
1096. #385	C₂²×C₈₉	semidirect
1097. #385	C₂²×C₈₉	semidirect
1098. #385	C₂²×C₈₉	semidirect
1102. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
1103. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
1104. C₄×C₄⋊C₄	C₂²×C₈₉	semidirect
1108. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
1109. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
1110. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
1111. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
1112. C₄×C₂²⋊C₄	C₂²×C₈₉	semidirect
1113. #376	C₂²×C₈₉	semidirect
1116. C₂×#95	C₂²×C₈₉	semidirect
1205. C₄×D₄	D₄×C₈₉	semidirect
1462. C₂²×C₄	C₂×D₄×C₈₉	semidirect
1463. C₂²×C₄	#41×C₈₉	semidirect
1506. C₄⋊C₄	C₂×D₄×C₈₉	semidirect
1561. C₂²⋊C₄	C₂×D₄×C₈₉	semidirect
1562. C₂²⋊C₄	#41×C₈₉	semidirect
1573. C₄²	C₂×D₄×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#538×C₈₉	2
C₂×#525×C₈₉	2
C₈₉×#2610	2
C₈₉×#2603	2
C₈₉×#2602	2
C₈₉×#2601	2
C₈₉×#2560	2
C₈₉×#2557	2
C₈₉×#2555	2
C₈₉×#2554	2
C₈₉×#2549	2
C₈₉×#2544	2
C₈₉×#2543	2
C₈₉×#2472	2
C₈₉×#2464	2
C₈₉×#2461	2
C₈₉×#2445	2
C₈₉×#2433	2
C₈₉×#2431	2
C₈₉×#2430	2
C₈₉×#2428	2
C₈₉×#2424	2
C₈₉×#2408	2
C₈₉×#2325	2
C₈₉×#2321	2
C₄×#120×C₈₉	2
C₂×#386×C₈₉	2
C₈₉×#2275	2
#35392	89

Subgroups — C89×#35392 #36413240

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#35392 #36413240