Subgroups — C₈₉×#60984 #36438832

Order 22784.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3455	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3261	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3260	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3258	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3257	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#3240	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#3225	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3216	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3212	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3197	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3196	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3191	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3190	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3173	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3127	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#3126	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#3116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₈₉×#3107	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈₉×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2924	C₂	1	1	yes	maximal, characteristic, complemented
32	#556×C₈₉	—	2	1	no	—
33	#554×C₈₉	—	2	1	no	—
34	#552×C₈₉	—	2	1	no	—
35	#552×C₈₉	—	2	1	no	—
36	#552×C₈₉	—	2	1	no	—
37	#552×C₈₉	—	2	1	no	—
38	#551×C₈₉	—	2	1	no	—
39	#551×C₈₉	—	2	1	no	—
40	#544×C₈₉	C₂²	1	1	yes	characteristic
41	#542×C₈₉	C₂²	1	1	yes	characteristic
42	#542×C₈₉	C₂²	1	1	yes	characteristic
43	#542×C₈₉	C₂²	1	1	yes	characteristic
44	#542×C₈₉	C₂²	1	1	yes	characteristic
45	#542×C₈₉	C₂²	1	1	yes	characteristic
46	#542×C₈₉	C₂²	1	1	yes	characteristic
47	#541×C₈₉	C₂²	1	1	yes	characteristic
48	#541×C₈₉	C₂²	1	1	yes	characteristic
49	#541×C₈₉	C₂²	1	1	yes	characteristic
50	#541×C₈₉	C₂²	1	1	yes	characteristic
51	#540×C₈₉	C₂²	1	1	yes	characteristic
52	#540×C₈₉	C₂²	1	1	yes	characteristic
53	#539×C₈₉	—	2	1	no	—
54	#539×C₈₉	—	2	1	no	—
55	#538×C₈₉	—	2	1	no	—
56	#538×C₈₉	—	2	1	no	—
57	#536×C₈₉	C₂²	1	1	yes	characteristic
58	#533×C₈₉	C₂²	1	1	yes	characteristic
59	#533×C₈₉	C₂²	1	1	yes	characteristic
60	#533×C₈₉	C₂²	1	1	yes	characteristic
61	#532×C₈₉	C₂²	1	1	yes	characteristic
62	#529×C₈₉	—	2	1	no	—
63	#529×C₈₉	—	2	1	no	—
64	#529×C₈₉	—	2	1	no	—
65	#529×C₈₉	—	2	1	no	—
66	#529×C₈₉	C₂²	1	1	yes	characteristic
67	#529×C₈₉	C₂²	1	1	yes	characteristic
68	#525×C₈₉	C₂²	1	1	yes	characteristic
69	#525×C₈₉	C₂²	1	1	yes	characteristic
70	#525×C₈₉	C₂²	1	1	yes	characteristic
71	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
72	#520×C₈₉	C₂²	1	1	yes	characteristic
73	#519×C₈₉	C₂²	1	1	yes	characteristic
74	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
75	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
76	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
77	#501×C₈₉	C₂²	1	1	yes	characteristic, complemented
78	#501×C₈₉	C₂²	1	1	yes	characteristic, complemented
79	#500×C₈₉	C₂²	1	1	yes	characteristic, complemented
80	#498×C₈₉	C₂²	1	1	yes	characteristic, complemented
81	#497×C₈₉	C₂²	1	1	yes	characteristic, complemented
82	#497×C₈₉	C₂²	1	1	yes	characteristic, complemented
83	#495×C₈₉	C₂²	1	1	yes	characteristic, complemented
84	#495×C₈₉	C₂²	1	1	yes	characteristic, complemented
85	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
88	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
89	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
90	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
91	#487×C₈₉	C₂²	1	1	yes	characteristic, complemented
92	#487×C₈₉	C₂²	1	1	yes	characteristic, complemented
93	#485×C₈₉	C₂²	1	1	yes	characteristic
94	#485×C₈₉	C₂²	1	1	yes	characteristic
95	#485×C₈₉	C₂²	1	1	yes	characteristic
96	#485×C₈₉	C₂²	1	1	yes	characteristic
97	#485×C₈₉	C₂²	1	1	yes	characteristic
98	#485×C₈₉	C₂²	1	1	yes	characteristic
99	#485×C₈₉	C₂²	1	1	yes	characteristic
100	#485×C₈₉	C₂²	1	1	yes	characteristic
101	#484×C₈₉	C₂²	1	1	yes	characteristic
102	#483×C₈₉	C₂²	1	1	yes	characteristic
103	#482×C₈₉	C₂²	1	1	yes	characteristic
104	#482×C₈₉	C₂²	1	1	yes	characteristic
105	#482×C₈₉	C₂²	1	1	yes	characteristic
106	#482×C₈₉	C₂²	1	1	yes	characteristic
107	#481×C₈₉	C₂²	1	1	yes	characteristic
108	#480×C₈₉	C₂²	1	1	yes	characteristic
109	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
110	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
116	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
117	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
118	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
119	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
120	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
121	#477×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#476×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#475×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#474×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#470×C₈₉	C₂²	1	1	yes	characteristic
126	#470×C₈₉	C₂²	1	1	yes	characteristic
127	#470×C₈₉	C₂²	1	1	yes	characteristic
128	#469×C₈₉	C₂²	1	1	yes	characteristic
129	#468×C₈₉	C₂²	1	1	yes	characteristic
130	#468×C₈₉	C₂²	1	1	yes	characteristic
131	#468×C₈₉	C₂²	1	1	yes	characteristic
132	#468×C₈₉	C₂²	1	1	yes	characteristic
133	#467×C₈₉	C₂²	1	1	yes	characteristic
134	#467×C₈₉	C₂²	1	1	yes	characteristic
135	#467×C₈₉	C₂²	1	1	yes	characteristic
136	#466×C₈₉	C₂²	1	1	yes	characteristic
137	#465×C₈₉	C₂²	1	1	yes	characteristic
138	#465×C₈₉	C₂²	1	1	yes	characteristic
139	#465×C₈₉	C₂²	1	1	yes	characteristic
140	#465×C₈₉	C₂²	1	1	yes	characteristic
141	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
142	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
143	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
145	#462×C₈₉	C₂²	1	1	yes	characteristic, complemented
146	#462×C₈₉	C₂²	1	1	yes	characteristic, complemented
147	#462×C₈₉	C₂²	1	1	yes	characteristic, complemented
148	#462×C₈₉	C₂²	1	1	yes	characteristic, complemented
149	#462×C₈₉	C₂²	1	1	yes	characteristic, complemented
150	#461×C₈₉	C₂²	1	1	yes	characteristic, complemented
151	#461×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	#461×C₈₉	C₂²	1	1	yes	characteristic, complemented
153	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
154	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
155	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#459×C₈₉	C₂²	1	1	yes	characteristic, complemented
157	#452×C₈₉	C₂²	1	1	yes	characteristic
158	#452×C₈₉	C₂²	1	1	yes	characteristic
159	#452×C₈₉	C₂²	1	1	yes	characteristic
160	#452×C₈₉	C₂²	1	1	yes	characteristic
161	#452×C₈₉	C₂²	1	1	yes	characteristic
162	#452×C₈₉	C₂²	1	1	yes	characteristic
163	#452×C₈₉	C₂²	1	1	yes	characteristic
164	#452×C₈₉	C₂²	1	1	yes	characteristic
165	#451×C₈₉	C₂²	1	1	yes	characteristic
166	#451×C₈₉	C₂²	1	1	yes	characteristic
167	#449×C₈₉	C₂²	1	1	yes	characteristic
168	#449×C₈₉	C₂²	1	1	yes	characteristic
169	#449×C₈₉	C₂²	1	1	yes	characteristic
170	#449×C₈₉	C₂²	1	1	yes	characteristic
171	#448×C₈₉	C₂²	1	1	yes	characteristic
172	#448×C₈₉	C₂²	1	1	yes	characteristic
173	#442×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#441×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#441×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#441×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	#433×C₈₉	C₂²	1	1	yes	characteristic
190	#433×C₈₉	C₂²	1	1	yes	characteristic
191	#433×C₈₉	C₂²	1	1	yes	characteristic
192	#433×C₈₉	C₂²	1	1	yes	characteristic
193	#432×C₈₉	C₂²	1	1	yes	characteristic
194	#432×C₈₉	C₂²	1	1	yes	characteristic
195	#431×C₈₉	C₂²	1	1	yes	characteristic
196	#431×C₈₉	C₂²	1	1	yes	characteristic
197	#424×C₈₉	C₂²	1	1	yes	characteristic
198	#424×C₈₉	C₂²	1	1	yes	characteristic
199	#407×C₈₉	C₂²	1	1	yes	characteristic
200	C₂×C₂²⋊C₈×C₈₉	C₂²	1	1	yes	characteristic
201	#405×C₈₉	C₂²	1	1	yes	characteristic
202	#405×C₈₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
208	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
209	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
211	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
228	C₄⋊Q₈×C₈₉	—	2	1	no	—
229	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
236	#127×C₈₉	C₂³	1	1	yes	characteristic
237	#126×C₈₉	—	2	1	no	—
238	#126×C₈₉	—	2	1	no	—
239	#126×C₈₉	—	2	1	no	—
240	#126×C₈₉	—	2	1	no	—
241	#126×C₈₉	—	2	1	no	—
242	#126×C₈₉	—	2	1	no	—
243	#126×C₈₉	—	2	1	no	—
244	#126×C₈₉	—	2	1	no	—
245	#126×C₈₉	—	2	1	no	—
246	#126×C₈₉	—	2	1	no	—
247	#126×C₈₉	—	2	1	no	—
248	#126×C₈₉	—	2	1	no	—
249	#126×C₈₉	—	2	1	no	—
250	#126×C₈₉	—	2	1	no	—
251	#126×C₈₉	—	2	1	no	—
252	#126×C₈₉	—	2	1	no	—
253	#125×C₈₉	—	2	1	no	—
254	#125×C₈₉	—	2	1	no	—
255	#125×C₈₉	—	2	1	no	—
256	#125×C₈₉	—	2	1	no	—
257	#125×C₈₉	—	2	1	no	—
258	#125×C₈₉	—	2	1	no	—
259	#125×C₈₉	—	2	1	no	—
260	#125×C₈₉	—	2	1	no	—
261	#125×C₈₉	—	2	1	no	—
262	#125×C₈₉	—	2	1	no	—
263	#125×C₈₉	—	2	1	no	—
264	#125×C₈₉	C₂³	1	1	yes	characteristic
265	#125×C₈₉	C₂³	1	1	yes	characteristic
266	#125×C₈₉	C₂³	1	1	yes	characteristic
267	#125×C₈₉	C₂³	1	1	yes	characteristic
268	#124×C₈₉	—	2	1	no	—
269	#124×C₈₉	—	2	1	no	—
270	#124×C₈₉	—	2	1	no	—
271	#124×C₈₉	—	2	1	no	—
272	#124×C₈₉	—	2	1	no	—
273	#124×C₈₉	—	2	1	no	—
274	#124×C₈₉	C₂³	1	1	yes	characteristic
275	#124×C₈₉	C₂³	1	1	yes	characteristic
276	#124×C₈₉	C₂³	1	1	yes	characteristic
277	#124×C₈₉	C₂³	1	1	yes	characteristic
278	#123×C₈₉	—	2	1	no	—
279	#123×C₈₉	—	2	1	no	—
280	#123×C₈₉	—	2	1	no	—
281	#123×C₈₉	—	2	1	no	—
282	#123×C₈₉	—	2	1	no	—
283	#123×C₈₉	—	2	1	no	—
284	#123×C₈₉	—	2	1	no	—
285	#123×C₈₉	—	2	1	no	—
286	#123×C₈₉	—	2	1	no	—
287	#123×C₈₉	—	2	1	no	—
288	#123×C₈₉	—	2	1	no	—
289	#123×C₈₉	—	2	1	no	—
290	#123×C₈₉	—	2	1	no	—
291	#123×C₈₉	—	2	1	no	—
292	#123×C₈₉	—	2	1	no	—
293	#123×C₈₉	—	2	1	no	—
294	#123×C₈₉	—	2	1	no	—
295	C₂²⋊Q₈×C₈₉	—	2	1	no	—
296	C₂²⋊Q₈×C₈₉	—	2	1	no	—
297	C₂²⋊Q₈×C₈₉	—	2	1	no	—
298	C₂²⋊Q₈×C₈₉	—	2	1	no	—
299	C₂²⋊Q₈×C₈₉	—	2	1	no	—
300	C₂²⋊Q₈×C₈₉	—	2	1	no	—
301	C₂²⋊Q₈×C₈₉	—	2	1	no	—
302	C₂²⋊Q₈×C₈₉	—	2	1	no	—
303	C₂²⋊Q₈×C₈₉	—	2	1	no	—
304	C₂²⋊Q₈×C₈₉	—	2	1	no	—
305	C₂²⋊Q₈×C₈₉	—	2	1	no	—
306	C₂²⋊Q₈×C₈₉	—	2	1	no	—
307	C₂²⋊Q₈×C₈₉	—	2	1	no	—
308	C₂²⋊Q₈×C₈₉	—	2	1	no	—
309	C₂²⋊Q₈×C₈₉	—	2	1	no	—
310	C₂²⋊Q₈×C₈₉	—	2	1	no	—
311	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
312	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
313	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
314	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
315	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
321	#121×C₈₉	—	2	1	no	—
322	#121×C₈₉	—	2	1	no	—
323	#121×C₈₉	—	2	1	no	—
324	#121×C₈₉	—	2	1	no	—
325	#121×C₈₉	—	2	1	no	—
326	#121×C₈₉	—	2	1	no	—
327	#121×C₈₉	C₂³	1	1	yes	characteristic
328	#121×C₈₉	C₂³	1	1	yes	characteristic
329	#121×C₈₉	C₂³	1	1	yes	characteristic
330	#121×C₈₉	C₂³	1	1	yes	characteristic
331	#121×C₈₉	C₂³	1	1	yes	characteristic
332	#121×C₈₉	C₂³	1	1	yes	characteristic
333	#120×C₈₉	—	2	1	no	—
334	#120×C₈₉	—	2	1	no	—
335	#120×C₈₉	—	2	1	no	—
336	C₄×Q₈×C₈₉	—	2	1	no	—
337	C₄×Q₈×C₈₉	—	2	1	no	—
338	C₄×Q₈×C₈₉	—	2	1	no	—
339	C₄×Q₈×C₈₉	—	2	1	no	—
340	C₄×Q₈×C₈₉	—	2	1	no	—
341	C₄×Q₈×C₈₉	—	2	1	no	—
342	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
352	C₄×D₄×C₈₉	—	2	1	no	—
353	C₄×D₄×C₈₉	—	2	1	no	—
354	C₄×D₄×C₈₉	—	2	1	no	—
355	C₄×D₄×C₈₉	—	2	1	no	—
356	C₄×D₄×C₈₉	—	2	1	no	—
357	C₄×D₄×C₈₉	—	2	1	no	—
358	C₄×D₄×C₈₉	—	2	1	no	—
359	C₄×D₄×C₈₉	—	2	1	no	—
360	C₄×D₄×C₈₉	—	2	1	no	—
361	C₄×D₄×C₈₉	—	2	1	no	—
362	C₄×D₄×C₈₉	—	2	1	no	—
363	C₄×D₄×C₈₉	—	2	1	no	—
364	C₄×D₄×C₈₉	—	2	1	no	—
365	C₄×D₄×C₈₉	—	2	1	no	—
366	C₄×D₄×C₈₉	—	2	1	no	—
367	C₄×D₄×C₈₉	—	2	1	no	—
368	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
374	#117×C₈₉	—	2	1	no	—
375	#117×C₈₉	—	2	1	no	—
376	#117×C₈₉	—	2	1	no	—
377	#117×C₈₉	—	2	1	no	—
378	#117×C₈₉	—	2	1	no	—
379	#117×C₈₉	—	2	1	no	—
380	#117×C₈₉	—	2	1	no	—
381	#117×C₈₉	—	2	1	no	—
382	#117×C₈₉	—	2	1	no	—
383	#117×C₈₉	D₄	1	1	yes	characteristic
384	#117×C₈₉	D₄	1	1	yes	characteristic
385	#117×C₈₉	D₄	1	1	yes	characteristic
386	#117×C₈₉	D₄	1	1	yes	characteristic
387	#117×C₈₉	C₂³	1	1	yes	characteristic
388	#117×C₈₉	C₂³	1	1	yes	characteristic
389	#117×C₈₉	C₂³	1	1	yes	characteristic
390	#117×C₈₉	C₂³	1	1	yes	characteristic
391	#117×C₈₉	C₂³	1	1	yes	characteristic
392	#117×C₈₉	C₂³	1	1	yes	characteristic
393	#117×C₈₉	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
395	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
396	C₂×C₄⋊C₄×C₈₉	D₄	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₈₉	D₄	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₈₉	D₄	1	1	yes	characteristic
401	C₂×C₂²⋊C₄×C₈₉	D₄	1	1	yes	characteristic
402	C₂×C₄²×C₈₉	—	2	1	no	—
403	C₂×C₄²×C₈₉	—	2	1	no	—
404	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
406	#107×C₈₉	C₂³	1	1	yes	characteristic
407	#107×C₈₉	C₂³	1	1	yes	characteristic
408	#107×C₈₉	C₂³	1	1	yes	characteristic
409	#107×C₈₉	C₂³	1	1	yes	characteristic
410	#107×C₈₉	C₂³	1	1	yes	characteristic
411	#107×C₈₉	C₂³	1	1	yes	characteristic
412	#107×C₈₉	C₂³	1	1	yes	characteristic
413	#107×C₈₉	C₂³	1	1	yes	characteristic
414	#106×C₈₉	C₂³	1	1	yes	characteristic
415	#106×C₈₉	C₂³	1	1	yes	characteristic
416	#106×C₈₉	C₂³	1	1	yes	characteristic
417	#106×C₈₉	C₂³	1	1	yes	characteristic
418	#106×C₈₉	C₂³	1	1	yes	characteristic
419	#106×C₈₉	C₂³	1	1	yes	characteristic
420	#106×C₈₉	C₂³	1	1	yes	characteristic
421	#106×C₈₉	C₂³	1	1	yes	characteristic
422	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
423	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
430	#103×C₈₉	C₂³	1	1	yes	characteristic
431	#103×C₈₉	C₂³	1	1	yes	characteristic
432	#103×C₈₉	C₂³	1	1	yes	characteristic
433	#103×C₈₉	C₂³	1	1	yes	characteristic
434	#103×C₈₉	C₂³	1	1	yes	characteristic
435	#103×C₈₉	C₂³	1	1	yes	characteristic
436	#103×C₈₉	C₂³	1	1	yes	characteristic
437	#103×C₈₉	C₂³	1	1	yes	characteristic
438	#103×C₈₉	C₂³	1	1	yes	characteristic
439	#103×C₈₉	C₂³	1	1	yes	characteristic
440	#103×C₈₉	C₂³	1	1	yes	characteristic
441	#103×C₈₉	C₂³	1	1	yes	characteristic
442	#103×C₈₉	C₂³	1	1	yes	characteristic
443	#103×C₈₉	C₂³	1	1	yes	characteristic
444	#103×C₈₉	C₂³	1	1	yes	characteristic
445	#103×C₈₉	C₂³	1	1	yes	characteristic
446	#103×C₈₉	C₂³	1	1	yes	characteristic
447	#103×C₈₉	C₂³	1	1	yes	characteristic
448	#103×C₈₉	C₂³	1	1	yes	characteristic
449	#103×C₈₉	C₂³	1	1	yes	characteristic
450	#102×C₈₉	C₂³	1	1	yes	characteristic
451	#102×C₈₉	C₂³	1	1	yes	characteristic
452	#102×C₈₉	C₂³	1	1	yes	characteristic
453	#102×C₈₉	C₂³	1	1	yes	characteristic
454	#102×C₈₉	C₂³	1	1	yes	characteristic
455	#102×C₈₉	C₂³	1	1	yes	characteristic
456	#102×C₈₉	C₂³	1	1	yes	characteristic
457	#102×C₈₉	C₂³	1	1	yes	characteristic
458	#102×C₈₉	C₂³	1	1	yes	characteristic
459	#102×C₈₉	C₂³	1	1	yes	characteristic
460	#102×C₈₉	C₂³	1	1	yes	characteristic
461	#102×C₈₉	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
470	#97×C₈₉	C₂³	1	1	yes	characteristic
471	#97×C₈₉	C₂³	1	1	yes	characteristic
472	#97×C₈₉	C₂³	1	1	yes	characteristic
473	#97×C₈₉	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
478	C₂⁴×C₈₉	C₂×D₄	1	1	yes	characteristic
479	#41×C₈₉	—	4	1	no	—
480	#41×C₈₉	—	4	1	no	—
481	#41×C₈₉	—	4	1	no	—
482	#41×C₈₉	—	4	1	no	—
483	#41×C₈₉	—	4	1	no	—
484	#41×C₈₉	—	4	1	no	—
485	C₂×Q₈×C₈₉	—	2	1	no	—
486	C₂×Q₈×C₈₉	—	2	1	no	—
487	C₂×Q₈×C₈₉	—	2	1	no	—
488	C₂×Q₈×C₈₉	—	2	1	no	—
489	C₂×Q₈×C₈₉	—	2	1	no	—
490	C₂×Q₈×C₈₉	—	4	1	no	—
491	C₂×Q₈×C₈₉	—	4	1	no	—
492	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₈₉	—	2	1	no	—
498	C₂×D₄×C₈₉	—	2	1	no	—
499	C₂×D₄×C₈₉	—	2	1	no	—
500	C₂×D₄×C₈₉	—	2	1	no	—
501	C₂×D₄×C₈₉	—	2	1	no	—
502	C₂×D₄×C₈₉	—	2	1	no	—
503	C₂×D₄×C₈₉	—	2	1	no	—
504	C₂×D₄×C₈₉	—	2	1	no	—
505	C₂×D₄×C₈₉	—	2	1	no	—
506	C₂×D₄×C₈₉	—	2	1	no	—
507	C₂×D₄×C₈₉	—	2	1	no	—
508	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₈₉	—	2	1	no	—
512	C₂²×C₄×C₈₉	—	2	1	no	—
513	C₂²×C₄×C₈₉	—	2	1	no	—
514	C₂²×C₄×C₈₉	—	2	1	no	—
515	C₂²×C₄×C₈₉	—	2	1	no	—
516	C₂²×C₄×C₈₉	—	2	1	no	—
517	C₂²×C₄×C₈₉	—	2	1	no	—
518	C₂²×C₄×C₈₉	—	2	1	no	—
519	C₂²×C₄×C₈₉	—	2	1	no	—
520	C₂²×C₄×C₈₉	—	2	1	no	—
521	C₂²×C₄×C₈₉	—	2	1	no	—
522	C₂²×C₄×C₈₉	—	4	1	no	—
523	C₂²×C₄×C₈₉	—	4	1	no	—
524	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
534	Q₁₆×C₈₉	—	4	1	no	—
535	Q₁₆×C₈₉	—	4	1	no	—
536	Q₁₆×C₈₉	—	4	1	no	—
537	Q₁₆×C₈₉	—	4	1	no	—
538	Q₁₆×C₈₉	—	4	1	no	—
539	Q₁₆×C₈₉	—	4	1	no	—
540	SD₁₆×C₈₉	—	4	1	no	—
541	SD₁₆×C₈₉	—	4	1	no	—
542	SD₁₆×C₈₉	—	4	1	no	—
543	SD₁₆×C₈₉	—	4	1	no	—
544	SD₁₆×C₈₉	—	4	1	no	—
545	SD₁₆×C₈₉	—	4	1	no	—
546	SD₁₆×C₈₉	—	4	1	no	—
547	SD₁₆×C₈₉	—	4	1	no	—
548	D₈×C₈₉	—	4	1	no	—
549	D₈×C₈₉	—	4	1	no	—
550	M₁₆×C₈₉	—	4	1	no	—
551	M₁₆×C₈₉	—	4	1	no	—
552	C₂×C₈×C₈₉	—	4	1	no	—
553	C₂×C₈×C₈₉	—	4	1	no	—
554	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
562	C₄⋊C₄×C₈₉	—	2	1	no	—
563	C₄⋊C₄×C₈₉	—	2	1	no	—
564	C₄⋊C₄×C₈₉	—	2	1	no	—
565	C₄⋊C₄×C₈₉	—	2	1	no	—
566	C₄⋊C₄×C₈₉	—	2	1	no	—
567	C₄⋊C₄×C₈₉	—	2	1	no	—
568	C₄⋊C₄×C₈₉	—	2	1	no	—
569	C₄⋊C₄×C₈₉	—	2	1	no	—
570	C₄⋊C₄×C₈₉	—	2	1	no	—
571	C₄⋊C₄×C₈₉	—	2	1	no	—
572	C₄⋊C₄×C₈₉	—	2	1	no	—
573	C₄⋊C₄×C₈₉	—	2	1	no	—
574	C₄⋊C₄×C₈₉	—	2	1	no	—
575	C₄⋊C₄×C₈₉	—	2	1	no	—
576	C₄⋊C₄×C₈₉	—	2	1	no	—
577	C₄⋊C₄×C₈₉	—	2	1	no	—
578	C₄⋊C₄×C₈₉	—	2	1	no	—
579	C₄⋊C₄×C₈₉	—	2	1	no	—
580	C₄⋊C₄×C₈₉	—	2	1	no	—
581	C₄⋊C₄×C₈₉	—	2	1	no	—
582	C₄⋊C₄×C₈₉	—	2	1	no	—
583	C₄⋊C₄×C₈₉	—	2	1	no	—
584	C₄⋊C₄×C₈₉	—	2	1	no	—
585	C₄⋊C₄×C₈₉	—	2	1	no	—
586	C₄⋊C₄×C₈₉	—	2	1	no	—
587	C₄⋊C₄×C₈₉	—	2	1	no	—
588	C₄⋊C₄×C₈₉	—	2	1	no	—
589	C₄⋊C₄×C₈₉	—	2	1	no	—
590	C₄⋊C₄×C₈₉	—	2	1	no	—
591	C₄⋊C₄×C₈₉	—	2	1	no	—
592	C₄⋊C₄×C₈₉	—	2	1	no	—
593	C₄⋊C₄×C₈₉	—	2	1	no	—
594	C₄⋊C₄×C₈₉	—	2	1	no	—
595	C₄⋊C₄×C₈₉	—	2	1	no	—
596	C₄⋊C₄×C₈₉	—	2	1	no	—
597	C₄⋊C₄×C₈₉	—	2	1	no	—
598	C₄⋊C₄×C₈₉	—	2	1	no	—
599	C₄⋊C₄×C₈₉	—	2	1	no	—
600	C₄⋊C₄×C₈₉	—	2	1	no	—
601	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
617	C₂²⋊C₄×C₈₉	—	2	1	no	—
618	C₂²⋊C₄×C₈₉	—	2	1	no	—
619	C₂²⋊C₄×C₈₉	—	2	1	no	—
620	C₂²⋊C₄×C₈₉	—	2	1	no	—
621	C₂²⋊C₄×C₈₉	—	2	1	no	—
622	C₂²⋊C₄×C₈₉	—	2	1	no	—
623	C₂²⋊C₄×C₈₉	—	2	1	no	—
624	C₂²⋊C₄×C₈₉	—	2	1	no	—
625	C₂²⋊C₄×C₈₉	—	2	1	no	—
626	C₂²⋊C₄×C₈₉	—	2	1	no	—
627	C₂²⋊C₄×C₈₉	—	2	1	no	—
628	C₂²⋊C₄×C₈₉	—	2	1	no	—
629	C₂²⋊C₄×C₈₉	—	2	1	no	—
630	C₂²⋊C₄×C₈₉	—	2	1	no	—
631	C₂²⋊C₄×C₈₉	—	2	1	no	—
632	C₂²⋊C₄×C₈₉	—	2	1	no	—
633	C₂²⋊C₄×C₈₉	—	2	1	no	—
634	C₂²⋊C₄×C₈₉	—	2	1	no	—
635	C₂²⋊C₄×C₈₉	—	2	1	no	—
636	C₂²⋊C₄×C₈₉	—	2	1	no	—
637	C₂²⋊C₄×C₈₉	—	2	1	no	—
638	C₂²⋊C₄×C₈₉	—	2	1	no	—
639	C₂²⋊C₄×C₈₉	—	2	1	no	—
640	C₂²⋊C₄×C₈₉	—	2	1	no	—
641	C₂²⋊C₄×C₈₉	—	2	1	no	—
642	C₂²⋊C₄×C₈₉	—	2	1	no	—
643	C₂²⋊C₄×C₈₉	—	2	1	no	—
644	C₂²⋊C₄×C₈₉	—	2	1	no	—
645	C₂²⋊C₄×C₈₉	—	2	1	no	—
646	C₂²⋊C₄×C₈₉	—	2	1	no	—
647	C₂²⋊C₄×C₈₉	—	2	1	no	—
648	C₂²⋊C₄×C₈₉	—	2	1	no	—
649	C₂²⋊C₄×C₈₉	—	2	1	no	—
650	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₈₉	—	2	1	no	—
659	C₄²×C₈₉	—	2	1	no	—
660	C₄²×C₈₉	—	2	1	no	—
661	C₄²×C₈₉	—	2	1	no	—
662	C₄²×C₈₉	—	2	1	no	—
663	C₄²×C₈₉	—	2	1	no	—
664	C₄²×C₈₉	—	2	1	no	—
665	C₄²×C₈₉	—	2	1	no	—
666	C₄²×C₈₉	—	2	1	no	—
667	C₄²×C₈₉	—	2	1	no	—
668	C₄²×C₈₉	—	2	1	no	—
669	C₄²×C₈₉	—	2	1	no	—
670	C₄²×C₈₉	—	2	1	no	—
671	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
672	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
676	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
677	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
678	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
679	C₂³×C₈₉	—	2	1	no	—
680	C₂³×C₈₉	—	2	1	no	—
681	C₂³×C₈₉	—	2	1	no	—
682	C₂³×C₈₉	—	4	1	no	—
683	C₂³×C₈₉	—	4	1	no	—
684	C₂³×C₈₉	—	4	1	no	—
685	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
686	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
687	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
688	Q₈×C₈₉	—	2	1	no	—
689	Q₈×C₈₉	—	2	1	no	—
690	Q₈×C₈₉	—	2	1	no	—
691	Q₈×C₈₉	—	2	1	no	—
692	Q₈×C₈₉	—	2	1	no	—
693	Q₈×C₈₉	—	2	1	no	—
694	Q₈×C₈₉	—	2	1	no	—
695	Q₈×C₈₉	—	2	1	no	—
696	Q₈×C₈₉	—	2	1	no	—
697	Q₈×C₈₉	—	2	1	no	—
698	Q₈×C₈₉	—	4	2	no	—
699	Q₈×C₈₉	—	8	1	no	—
700	Q₈×C₈₉	—	8	1	no	—
701	Q₈×C₈₉	—	8	1	no	—
702	Q₈×C₈₉	—	8	1	no	—
703	D₄×C₈₉	—	2	1	no	—
704	D₄×C₈₉	—	2	1	no	—
705	D₄×C₈₉	—	2	1	no	—
706	D₄×C₈₉	—	2	1	no	—
707	D₄×C₈₉	—	2	1	no	—
708	D₄×C₈₉	—	2	1	no	—
709	D₄×C₈₉	—	4	2	no	—
710	D₄×C₈₉	—	4	2	no	—
711	D₄×C₈₉	—	4	2	no	—
712	D₄×C₈₉	—	4	2	no	—
713	D₄×C₈₉	—	8	1	no	—
714	D₄×C₈₉	—	8	1	no	—
715	D₄×C₈₉	—	8	1	no	—
716	D₄×C₈₉	—	8	1	no	—
717	D₄×C₈₉	—	8	1	no	—
718	D₄×C₈₉	—	8	1	no	—
719	D₄×C₈₉	—	8	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	—	4	1	no	—
740	C₂×C₄×C₈₉	—	4	1	no	—
741	C₂×C₄×C₈₉	—	4	1	no	—
742	C₂×C₄×C₈₉	—	4	1	no	—
743	C₂×C₄×C₈₉	—	4	1	no	—
744	C₂×C₄×C₈₉	—	4	1	no	—
745	C₂×C₄×C₈₉	—	4	1	no	—
746	C₂×C₄×C₈₉	—	4	2	no	—
747	C₂×C₄×C₈₉	—	4	2	no	—
748	C₂×C₄×C₈₉	—	4	2	no	—
749	C₂×C₄×C₈₉	—	4	2	no	—
750	C₂×C₄×C₈₉	—	8	1	no	—
751	C₂×C₄×C₈₉	—	8	1	no	—
752	C₂×C₄×C₈₉	—	8	1	no	—
753	C₂×C₄×C₈₉	—	8	1	no	—
754	C₂×C₄×C₈₉	—	8	1	no	—
755	C₂×C₄×C₈₉	—	8	1	no	—
756	C₂×C₄×C₈₉	—	8	1	no	—
757	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
769	C₈×C₈₉	—	2	1	no	—
770	C₈×C₈₉	—	2	1	no	—
771	C₈×C₈₉	—	2	1	no	—
772	C₈×C₈₉	—	2	1	no	—
773	C₈×C₈₉	—	2	1	no	—
774	C₈×C₈₉	—	2	1	no	—
775	C₈×C₈₉	—	2	1	no	—
776	C₈×C₈₉	—	2	1	no	—
777	C₂²×C₈₉	—	2	1	no	—
778	C₂²×C₈₉	—	2	1	no	—
779	C₂²×C₈₉	—	2	1	no	—
780	C₂²×C₈₉	—	2	1	no	—
781	C₂²×C₈₉	—	2	1	no	—
782	C₂²×C₈₉	—	2	1	no	—
783	C₂²×C₈₉	—	2	1	no	—
784	C₂²×C₈₉	—	2	1	no	—
785	C₂²×C₈₉	—	2	1	no	—
786	C₂²×C₈₉	—	4	1	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	—	8	2	no	—
796	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
797	C₄×C₈₉	—	2	1	no	—
798	C₄×C₈₉	—	2	1	no	—
799	C₄×C₈₉	—	2	1	no	—
800	C₄×C₈₉	—	2	1	no	—
801	C₄×C₈₉	—	2	1	no	—
802	C₄×C₈₉	—	2	1	no	—
803	C₄×C₈₉	—	2	1	no	—
804	C₄×C₈₉	—	2	1	no	—
805	C₄×C₈₉	—	2	1	no	—
806	C₄×C₈₉	—	2	1	no	—
807	C₄×C₈₉	—	2	1	no	—
808	C₄×C₈₉	—	4	1	no	—
809	C₄×C₈₉	—	4	1	no	—
810	C₄×C₈₉	—	4	1	no	—
811	C₄×C₈₉	—	4	1	no	—
812	C₄×C₈₉	—	4	1	no	—
813	C₄×C₈₉	—	4	1	no	—
814	C₄×C₈₉	—	4	1	no	—
815	C₄×C₈₉	—	4	1	no	—
816	C₄×C₈₉	—	4	1	no	—
817	C₄×C₈₉	—	4	1	no	—
818	C₄×C₈₉	—	4	1	no	—
819	C₄×C₈₉	—	4	1	no	—
820	C₄×C₈₉	—	4	1	no	—
821	C₄×C₈₉	#585	1	1	yes	characteristic
822	C₄×C₈₉	#585	1	1	yes	characteristic
823	#60984	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
824	C₂×C₈₉	—	4	1	no	—
825	C₂×C₈₉	—	4	1	no	—
826	C₂×C₈₉	—	4	1	no	—
827	C₂×C₈₉	—	8	1	no	—
828	C₂×C₈₉	—	8	1	no	—
829	C₂×C₈₉	—	8	1	no	—
830	C₂×C₈₉	#3449	1	1	yes	characteristic
831	C₂×C₈₉	#3584	1	1	yes	characteristic
832	C₂×C₈₉	#3586	1	1	yes	characteristic
833	#3495	C₂×C₈₉	1	1	yes	characteristic, complemented
834	#3455	C₂×C₈₉	1	1	yes	characteristic, complemented
835	#3261	C₂×C₈₉	1	1	yes	characteristic, complemented
836	#3260	C₂×C₈₉	1	1	yes	characteristic, complemented
837	#3258	C₂×C₈₉	1	1	yes	characteristic, complemented
838	#3257	C₂×C₈₉	1	1	yes	characteristic, complemented
839	#3244	C₂×C₈₉	1	1	yes	characteristic, complemented
840	#3243	C₂×C₈₉	1	1	yes	characteristic, complemented
841	#3240	C₂×C₈₉	1	1	yes	characteristic, complemented
842	#3231	C₂×C₈₉	1	1	yes	characteristic, complemented
843	#3225	C₂×C₈₉	1	1	yes	characteristic, complemented
844	#3225	C₂×C₈₉	1	1	yes	characteristic, complemented
845	#3216	C₂×C₈₉	1	1	yes	characteristic, complemented
846	#3212	C₂×C₈₉	1	1	yes	characteristic, complemented
847	#3197	C₂×C₈₉	1	1	yes	characteristic, complemented
848	#3196	C₂×C₈₉	1	1	yes	characteristic, complemented
849	#3191	C₂×C₈₉	1	1	yes	characteristic, complemented
850	#3190	C₂×C₈₉	1	1	yes	characteristic, complemented
851	#3178	C₂×C₈₉	1	1	yes	characteristic, complemented
852	#3178	C₂×C₈₉	1	1	yes	characteristic, complemented
853	#3175	C₂×C₈₉	1	1	yes	characteristic, complemented
854	#3173	C₂×C₈₉	1	1	yes	characteristic, complemented
855	#3127	C₂×C₈₉	1	1	yes	characteristic, complemented
856	#3126	C₂×C₈₉	1	1	yes	characteristic, complemented
857	#3120	C₂×C₈₉	1	1	yes	characteristic, complemented
858	#3119	C₂×C₈₉	1	1	yes	characteristic, complemented
859	#3116	C₂×C₈₉	1	1	yes	characteristic, complemented
860	#3111	C₂×C₈₉	1	1	yes	characteristic, complemented
861	#3107	C₂×C₈₉	1	1	yes	characteristic, complemented
862	#3102	C₂×C₈₉	1	1	yes	characteristic, complemented
863	#2924	C₂×C₈₉	1	1	yes	characteristic, complemented
864	C₈₉	#60984	1	1	yes	characteristic, direct product factor, Sylow
865	#556	—	2	1	no	—
866	#554	—	2	1	no	—
867	#552	—	2	1	no	—
868	#552	—	2	1	no	—
869	#552	—	2	1	no	—
870	#552	—	2	1	no	—
871	#551	—	2	1	no	—
872	#551	—	2	1	no	—
873	#544	C₂²×C₈₉	1	1	yes	characteristic
874	#542	C₂²×C₈₉	1	1	yes	characteristic
875	#542	C₂²×C₈₉	1	1	yes	characteristic
876	#542	C₂²×C₈₉	1	1	yes	characteristic
877	#542	C₂²×C₈₉	1	1	yes	characteristic
878	#542	C₂²×C₈₉	1	1	yes	characteristic
879	#542	C₂²×C₈₉	1	1	yes	characteristic
880	#541	C₂²×C₈₉	1	1	yes	characteristic
881	#541	C₂²×C₈₉	1	1	yes	characteristic
882	#541	C₂²×C₈₉	1	1	yes	characteristic
883	#541	C₂²×C₈₉	1	1	yes	characteristic
884	#540	C₂²×C₈₉	1	1	yes	characteristic
885	#540	C₂²×C₈₉	1	1	yes	characteristic
886	#539	—	2	1	no	—
887	#539	—	2	1	no	—
888	#538	—	2	1	no	—
889	#538	—	2	1	no	—
890	#536	C₂²×C₈₉	1	1	yes	characteristic
891	#533	C₂²×C₈₉	1	1	yes	characteristic
892	#533	C₂²×C₈₉	1	1	yes	characteristic
893	#533	C₂²×C₈₉	1	1	yes	characteristic
894	#532	C₂²×C₈₉	1	1	yes	characteristic
895	#529	—	2	1	no	—
896	#529	—	2	1	no	—
897	#529	—	2	1	no	—
898	#529	—	2	1	no	—
899	#529	C₂²×C₈₉	1	1	yes	characteristic
900	#529	C₂²×C₈₉	1	1	yes	characteristic
901	#525	C₂²×C₈₉	1	1	yes	characteristic
902	#525	C₂²×C₈₉	1	1	yes	characteristic
903	#525	C₂²×C₈₉	1	1	yes	characteristic
904	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
905	#520	C₂²×C₈₉	1	1	yes	characteristic
906	#519	C₂²×C₈₉	1	1	yes	characteristic
907	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
908	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
909	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
910	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
911	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
912	#500	C₂²×C₈₉	1	1	yes	characteristic, complemented
913	#498	C₂²×C₈₉	1	1	yes	characteristic, complemented
914	#497	C₂²×C₈₉	1	1	yes	characteristic, complemented
915	#497	C₂²×C₈₉	1	1	yes	characteristic, complemented
916	#495	C₂²×C₈₉	1	1	yes	characteristic, complemented
917	#495	C₂²×C₈₉	1	1	yes	characteristic, complemented
918	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
919	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
920	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
921	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
922	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
923	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
924	#487	C₂²×C₈₉	1	1	yes	characteristic, complemented
925	#487	C₂²×C₈₉	1	1	yes	characteristic, complemented
926	#485	C₂²×C₈₉	1	1	yes	characteristic
927	#485	C₂²×C₈₉	1	1	yes	characteristic
928	#485	C₂²×C₈₉	1	1	yes	characteristic
929	#485	C₂²×C₈₉	1	1	yes	characteristic
930	#485	C₂²×C₈₉	1	1	yes	characteristic
931	#485	C₂²×C₈₉	1	1	yes	characteristic
932	#485	C₂²×C₈₉	1	1	yes	characteristic
933	#485	C₂²×C₈₉	1	1	yes	characteristic
934	#484	C₂²×C₈₉	1	1	yes	characteristic
935	#483	C₂²×C₈₉	1	1	yes	characteristic
936	#482	C₂²×C₈₉	1	1	yes	characteristic
937	#482	C₂²×C₈₉	1	1	yes	characteristic
938	#482	C₂²×C₈₉	1	1	yes	characteristic
939	#482	C₂²×C₈₉	1	1	yes	characteristic
940	#481	C₂²×C₈₉	1	1	yes	characteristic
941	#480	C₂²×C₈₉	1	1	yes	characteristic
942	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
943	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
944	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
945	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
946	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
947	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
948	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
949	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
950	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
951	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
952	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
953	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
954	#477	C₂²×C₈₉	1	1	yes	characteristic, complemented
955	#476	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#475	C₂²×C₈₉	1	1	yes	characteristic, complemented
957	#474	C₂²×C₈₉	1	1	yes	characteristic, complemented
958	#470	C₂²×C₈₉	1	1	yes	characteristic
959	#470	C₂²×C₈₉	1	1	yes	characteristic
960	#470	C₂²×C₈₉	1	1	yes	characteristic
961	#469	C₂²×C₈₉	1	1	yes	characteristic
962	#468	C₂²×C₈₉	1	1	yes	characteristic
963	#468	C₂²×C₈₉	1	1	yes	characteristic
964	#468	C₂²×C₈₉	1	1	yes	characteristic
965	#468	C₂²×C₈₉	1	1	yes	characteristic
966	#467	C₂²×C₈₉	1	1	yes	characteristic
967	#467	C₂²×C₈₉	1	1	yes	characteristic
968	#467	C₂²×C₈₉	1	1	yes	characteristic
969	#466	C₂²×C₈₉	1	1	yes	characteristic
970	#465	C₂²×C₈₉	1	1	yes	characteristic
971	#465	C₂²×C₈₉	1	1	yes	characteristic
972	#465	C₂²×C₈₉	1	1	yes	characteristic
973	#465	C₂²×C₈₉	1	1	yes	characteristic
974	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
975	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
976	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
978	#462	C₂²×C₈₉	1	1	yes	characteristic, complemented
979	#462	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#462	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#462	C₂²×C₈₉	1	1	yes	characteristic, complemented
982	#462	C₂²×C₈₉	1	1	yes	characteristic, complemented
983	#461	C₂²×C₈₉	1	1	yes	characteristic, complemented
984	#461	C₂²×C₈₉	1	1	yes	characteristic, complemented
985	#461	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
989	#459	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	#452	C₂²×C₈₉	1	1	yes	characteristic
991	#452	C₂²×C₈₉	1	1	yes	characteristic
992	#452	C₂²×C₈₉	1	1	yes	characteristic
993	#452	C₂²×C₈₉	1	1	yes	characteristic
994	#452	C₂²×C₈₉	1	1	yes	characteristic
995	#452	C₂²×C₈₉	1	1	yes	characteristic
996	#452	C₂²×C₈₉	1	1	yes	characteristic
997	#452	C₂²×C₈₉	1	1	yes	characteristic
998	#451	C₂²×C₈₉	1	1	yes	characteristic
999	#451	C₂²×C₈₉	1	1	yes	characteristic
1000	#449	C₂²×C₈₉	1	1	yes	characteristic
1001	#449	C₂²×C₈₉	1	1	yes	characteristic
1002	#449	C₂²×C₈₉	1	1	yes	characteristic
1003	#449	C₂²×C₈₉	1	1	yes	characteristic
1004	#448	C₂²×C₈₉	1	1	yes	characteristic
1005	#448	C₂²×C₈₉	1	1	yes	characteristic
1006	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1007	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1008	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1009	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1011	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1013	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1014	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1015	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1016	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1017	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1018	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1019	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1020	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1021	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1022	#433	C₂²×C₈₉	1	1	yes	characteristic
1023	#433	C₂²×C₈₉	1	1	yes	characteristic
1024	#433	C₂²×C₈₉	1	1	yes	characteristic
1025	#433	C₂²×C₈₉	1	1	yes	characteristic
1026	#432	C₂²×C₈₉	1	1	yes	characteristic
1027	#432	C₂²×C₈₉	1	1	yes	characteristic
1028	#431	C₂²×C₈₉	1	1	yes	characteristic
1029	#431	C₂²×C₈₉	1	1	yes	characteristic
1030	#424	C₂²×C₈₉	1	1	yes	characteristic
1031	#424	C₂²×C₈₉	1	1	yes	characteristic
1032	#407	C₂²×C₈₉	1	1	yes	characteristic
1033	C₂×C₂²⋊C₈	C₂²×C₈₉	1	1	yes	characteristic
1034	#405	C₂²×C₈₉	1	1	yes	characteristic
1035	#405	C₂²×C₈₉	1	1	yes	characteristic
1036	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1037	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1038	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1039	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1040	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1041	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1042	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1043	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1044	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1045	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1046	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1050	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1051	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1055	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1056	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1057	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1058	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1059	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1060	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1061	C₄⋊Q₈	—	2	1	no	—
1062	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1063	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1064	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1065	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1066	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1067	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1068	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1069	#127	C₂³×C₈₉	1	1	yes	characteristic
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	C₂³×C₈₉	1	1	yes	characteristic
1098	#125	C₂³×C₈₉	1	1	yes	characteristic
1099	#125	C₂³×C₈₉	1	1	yes	characteristic
1100	#125	C₂³×C₈₉	1	1	yes	characteristic
1101	#124	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	C₂³×C₈₉	1	1	yes	characteristic
1108	#124	C₂³×C₈₉	1	1	yes	characteristic
1109	#124	C₂³×C₈₉	1	1	yes	characteristic
1110	#124	C₂³×C₈₉	1	1	yes	characteristic
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1151	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	C₂³×C₈₉	1	1	yes	characteristic
1161	#121	C₂³×C₈₉	1	1	yes	characteristic
1162	#121	C₂³×C₈₉	1	1	yes	characteristic
1163	#121	C₂³×C₈₉	1	1	yes	characteristic
1164	#121	C₂³×C₈₉	1	1	yes	characteristic
1165	#121	C₂³×C₈₉	1	1	yes	characteristic
1166	#120	—	2	1	no	—
1167	#120	—	2	1	no	—
1168	#120	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	2	1	no	—
1172	C₄×Q₈	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1207	#117	—	2	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	D₄×C₈₉	1	1	yes	characteristic
1217	#117	D₄×C₈₉	1	1	yes	characteristic
1218	#117	D₄×C₈₉	1	1	yes	characteristic
1219	#117	D₄×C₈₉	1	1	yes	characteristic
1220	#117	C₂³×C₈₉	1	1	yes	characteristic
1221	#117	C₂³×C₈₉	1	1	yes	characteristic
1222	#117	C₂³×C₈₉	1	1	yes	characteristic
1223	#117	C₂³×C₈₉	1	1	yes	characteristic
1224	#117	C₂³×C₈₉	1	1	yes	characteristic
1225	#117	C₂³×C₈₉	1	1	yes	characteristic
1226	#117	C₂³×C₈₉	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	D₄×C₈₉	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	D₄×C₈₉	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1232	C₂×C₂²⋊C₄	—	2	1	no	—
1233	C₂×C₂²⋊C₄	D₄×C₈₉	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	D₄×C₈₉	1	1	yes	characteristic
1235	C₂×C₄²	—	2	1	no	—
1236	C₂×C₄²	—	2	1	no	—
1237	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1238	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1239	#107	C₂³×C₈₉	1	1	yes	characteristic
1240	#107	C₂³×C₈₉	1	1	yes	characteristic
1241	#107	C₂³×C₈₉	1	1	yes	characteristic
1242	#107	C₂³×C₈₉	1	1	yes	characteristic
1243	#107	C₂³×C₈₉	1	1	yes	characteristic
1244	#107	C₂³×C₈₉	1	1	yes	characteristic
1245	#107	C₂³×C₈₉	1	1	yes	characteristic
1246	#107	C₂³×C₈₉	1	1	yes	characteristic
1247	#106	C₂³×C₈₉	1	1	yes	characteristic
1248	#106	C₂³×C₈₉	1	1	yes	characteristic
1249	#106	C₂³×C₈₉	1	1	yes	characteristic
1250	#106	C₂³×C₈₉	1	1	yes	characteristic
1251	#106	C₂³×C₈₉	1	1	yes	characteristic
1252	#106	C₂³×C₈₉	1	1	yes	characteristic
1253	#106	C₂³×C₈₉	1	1	yes	characteristic
1254	#106	C₂³×C₈₉	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1263	#103	C₂³×C₈₉	1	1	yes	characteristic
1264	#103	C₂³×C₈₉	1	1	yes	characteristic
1265	#103	C₂³×C₈₉	1	1	yes	characteristic
1266	#103	C₂³×C₈₉	1	1	yes	characteristic
1267	#103	C₂³×C₈₉	1	1	yes	characteristic
1268	#103	C₂³×C₈₉	1	1	yes	characteristic
1269	#103	C₂³×C₈₉	1	1	yes	characteristic
1270	#103	C₂³×C₈₉	1	1	yes	characteristic
1271	#103	C₂³×C₈₉	1	1	yes	characteristic
1272	#103	C₂³×C₈₉	1	1	yes	characteristic
1273	#103	C₂³×C₈₉	1	1	yes	characteristic
1274	#103	C₂³×C₈₉	1	1	yes	characteristic
1275	#103	C₂³×C₈₉	1	1	yes	characteristic
1276	#103	C₂³×C₈₉	1	1	yes	characteristic
1277	#103	C₂³×C₈₉	1	1	yes	characteristic
1278	#103	C₂³×C₈₉	1	1	yes	characteristic
1279	#103	C₂³×C₈₉	1	1	yes	characteristic
1280	#103	C₂³×C₈₉	1	1	yes	characteristic
1281	#103	C₂³×C₈₉	1	1	yes	characteristic
1282	#103	C₂³×C₈₉	1	1	yes	characteristic
1283	#102	C₂³×C₈₉	1	1	yes	characteristic
1284	#102	C₂³×C₈₉	1	1	yes	characteristic
1285	#102	C₂³×C₈₉	1	1	yes	characteristic
1286	#102	C₂³×C₈₉	1	1	yes	characteristic
1287	#102	C₂³×C₈₉	1	1	yes	characteristic
1288	#102	C₂³×C₈₉	1	1	yes	characteristic
1289	#102	C₂³×C₈₉	1	1	yes	characteristic
1290	#102	C₂³×C₈₉	1	1	yes	characteristic
1291	#102	C₂³×C₈₉	1	1	yes	characteristic
1292	#102	C₂³×C₈₉	1	1	yes	characteristic
1293	#102	C₂³×C₈₉	1	1	yes	characteristic
1294	#102	C₂³×C₈₉	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1296	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1298	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1299	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1303	#97	C₂³×C₈₉	1	1	yes	characteristic
1304	#97	C₂³×C₈₉	1	1	yes	characteristic
1305	#97	C₂³×C₈₉	1	1	yes	characteristic
1306	#97	C₂³×C₈₉	1	1	yes	characteristic
1307	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1308	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1309	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1310	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1311	C₂⁴	C₂×D₄×C₈₉	1	1	yes	characteristic
1312	#41	—	4	1	no	—
1313	#41	—	4	1	no	—
1314	#41	—	4	1	no	—
1315	#41	—	4	1	no	—
1316	#41	—	4	1	no	—
1317	#41	—	4	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	2	1	no	—
1322	C₂×Q₈	—	2	1	no	—
1323	C₂×Q₈	—	4	1	no	—
1324	C₂×Q₈	—	4	1	no	—
1325	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1326	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1327	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1328	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1329	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	2	1	no	—
1332	C₂×D₄	—	2	1	no	—
1333	C₂×D₄	—	2	1	no	—
1334	C₂×D₄	—	2	1	no	—
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1342	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1343	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	4	1	no	—
1356	C₂²×C₄	—	4	1	no	—
1357	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1358	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1359	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1360	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1361	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1362	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1363	C₂²×C₄	C₂×D₄×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	Q₁₆	—	4	1	no	—
1368	Q₁₆	—	4	1	no	—
1369	Q₁₆	—	4	1	no	—
1370	Q₁₆	—	4	1	no	—
1371	Q₁₆	—	4	1	no	—
1372	Q₁₆	—	4	1	no	—
1373	SD₁₆	—	4	1	no	—
1374	SD₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	4	1	no	—
1378	SD₁₆	—	4	1	no	—
1379	SD₁₆	—	4	1	no	—
1380	SD₁₆	—	4	1	no	—
1381	D₈	—	4	1	no	—
1382	D₈	—	4	1	no	—
1383	M₁₆	—	4	1	no	—
1384	M₁₆	—	4	1	no	—
1385	C₂×C₈	—	4	1	no	—
1386	C₂×C₈	—	4	1	no	—
1387	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1388	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1389	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1390	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1391	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1392	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1393	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1394	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1435	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1436	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1437	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1438	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1439	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1440	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1442	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1443	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1444	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1445	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1446	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1447	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1448	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1449	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1484	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1505	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1506	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1507	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1508	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1509	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1510	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1511	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	4	1	no	—
1516	C₂³	—	4	1	no	—
1517	C₂³	—	4	1	no	—
1518	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1519	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1520	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	4	2	no	—
1532	Q₈	—	8	1	no	—
1533	Q₈	—	8	1	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	4	2	no	—
1543	D₄	—	4	2	no	—
1544	D₄	—	4	2	no	—
1545	D₄	—	4	2	no	—
1546	D₄	—	8	1	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	8	1	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	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	—	4	1	no	—
1573	C₂×C₄	—	4	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	8	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1591	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1597	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1598	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1599	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1600	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1601	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	8	2	no	—
1629	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	#585×C₈₉	1	1	yes	characteristic
1655	C₄	#585×C₈₉	1	1	yes	characteristic
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	C₈₉×#3449	1	1	yes	characteristic
1663	C₂	C₈₉×#3584	1	1	yes	characteristic
1664	C₂	C₈₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ C₂×#117×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3495	C₂	semidirect
2. C₈₉×#3455	C₂	semidirect
3. C₈₉×#3261	C₂	semidirect
4. C₈₉×#3260	C₂	semidirect
5. C₈₉×#3258	C₂	semidirect
6. C₈₉×#3257	C₂	semidirect
7. C₈₉×#3244	C₂	semidirect
8. C₈₉×#3243	C₂	semidirect
9. C₈₉×#3240	C₂	semidirect
10. C₈₉×#3231	C₂	semidirect
11. C₈₉×#3225	C₂	semidirect
12. C₈₉×#3225	C₂	semidirect
13. C₈₉×#3216	C₂	semidirect
14. C₈₉×#3212	C₂	semidirect
15. C₈₉×#3197	C₂	semidirect
16. C₈₉×#3196	C₂	semidirect
17. C₈₉×#3191	C₂	semidirect
18. C₈₉×#3190	C₂	semidirect
19. C₈₉×#3178	C₂	semidirect
20. C₈₉×#3178	C₂	semidirect
21. C₈₉×#3175	C₂	semidirect
22. C₈₉×#3173	C₂	semidirect
23. C₈₉×#3127	C₂	semidirect
24. C₈₉×#3126	C₂	semidirect
25. C₈₉×#3120	C₂	semidirect
26. C₈₉×#3119	C₂	semidirect
27. C₈₉×#3116	C₂	semidirect
28. C₈₉×#3111	C₂	semidirect
29. C₈₉×#3107	C₂	semidirect
30. C₈₉×#3102	C₂	semidirect
31. C₈₉×#2924	C₂	semidirect
77. #501×C₈₉	C₂²	semidirect
78. #501×C₈₉	C₂²	semidirect
79. #500×C₈₉	C₂²	semidirect
80. #498×C₈₉	C₂²	semidirect
81. #497×C₈₉	C₂²	semidirect
82. #497×C₈₉	C₂²	semidirect
83. #495×C₈₉	C₂²	semidirect
84. #495×C₈₉	C₂²	semidirect
85. #489×C₈₉	C₂²	semidirect
86. #489×C₈₉	C₂²	semidirect
87. #489×C₈₉	C₂²	semidirect
88. #489×C₈₉	C₂²	semidirect
89. #488×C₈₉	C₂²	semidirect
90. #488×C₈₉	C₂²	semidirect
91. #487×C₈₉	C₂²	semidirect
92. #487×C₈₉	C₂²	semidirect
109. #479×C₈₉	C₂²	semidirect
110. #479×C₈₉	C₂²	semidirect
111. #479×C₈₉	C₂²	semidirect
112. #479×C₈₉	C₂²	semidirect
113. #479×C₈₉	C₂²	semidirect
114. #479×C₈₉	C₂²	semidirect
115. #479×C₈₉	C₂²	semidirect
116. #479×C₈₉	C₂²	semidirect
117. #478×C₈₉	C₂²	semidirect
118. #478×C₈₉	C₂²	semidirect
119. #478×C₈₉	C₂²	semidirect
120. #478×C₈₉	C₂²	semidirect
121. #477×C₈₉	C₂²	semidirect
122. #476×C₈₉	C₂²	semidirect
123. #475×C₈₉	C₂²	semidirect
124. #474×C₈₉	C₂²	semidirect
141. #464×C₈₉	C₂²	semidirect
142. #464×C₈₉	C₂²	semidirect
143. #463×C₈₉	C₂²	semidirect
144. #463×C₈₉	C₂²	semidirect
145. #462×C₈₉	C₂²	semidirect
146. #462×C₈₉	C₂²	semidirect
147. #462×C₈₉	C₂²	semidirect
148. #462×C₈₉	C₂²	semidirect
149. #462×C₈₉	C₂²	semidirect
150. #461×C₈₉	C₂²	semidirect
151. #461×C₈₉	C₂²	semidirect
152. #461×C₈₉	C₂²	semidirect
153. #460×C₈₉	C₂²	semidirect
154. #460×C₈₉	C₂²	semidirect
155. #460×C₈₉	C₂²	semidirect
156. #459×C₈₉	C₂²	semidirect
173. #442×C₈₉	C₂²	semidirect
174. #441×C₈₉	C₂²	semidirect
175. #441×C₈₉	C₂²	semidirect
176. #441×C₈₉	C₂²	semidirect
177. #440×C₈₉	C₂²	semidirect
178. #440×C₈₉	C₂²	semidirect
179. #440×C₈₉	C₂²	semidirect
180. #440×C₈₉	C₂²	semidirect
181. C₄×Q₁₆×C₈₉	C₂²	semidirect
182. C₄×Q₁₆×C₈₉	C₂²	semidirect
183. C₄×Q₁₆×C₈₉	C₂²	semidirect
184. C₄×SD₁₆×C₈₉	C₂²	semidirect
185. C₄×SD₁₆×C₈₉	C₂²	semidirect
186. C₄×SD₁₆×C₈₉	C₂²	semidirect
187. C₄×SD₁₆×C₈₉	C₂²	semidirect
188. C₄×D₈×C₈₉	C₂²	semidirect
823. #60984	C₈₉	direct (N × H)
833. #3495	C₂×C₈₉	semidirect
834. #3455	C₂×C₈₉	semidirect
835. #3261	C₂×C₈₉	semidirect
836. #3260	C₂×C₈₉	semidirect
837. #3258	C₂×C₈₉	semidirect
838. #3257	C₂×C₈₉	semidirect
839. #3244	C₂×C₈₉	semidirect
840. #3243	C₂×C₈₉	semidirect
841. #3240	C₂×C₈₉	semidirect
842. #3231	C₂×C₈₉	semidirect
843. #3225	C₂×C₈₉	semidirect
844. #3225	C₂×C₈₉	semidirect
845. #3216	C₂×C₈₉	semidirect
846. #3212	C₂×C₈₉	semidirect
847. #3197	C₂×C₈₉	semidirect
848. #3196	C₂×C₈₉	semidirect
849. #3191	C₂×C₈₉	semidirect
850. #3190	C₂×C₈₉	semidirect
851. #3178	C₂×C₈₉	semidirect
852. #3178	C₂×C₈₉	semidirect
853. #3175	C₂×C₈₉	semidirect
854. #3173	C₂×C₈₉	semidirect
855. #3127	C₂×C₈₉	semidirect
856. #3126	C₂×C₈₉	semidirect
857. #3120	C₂×C₈₉	semidirect
858. #3119	C₂×C₈₉	semidirect
859. #3116	C₂×C₈₉	semidirect
860. #3111	C₂×C₈₉	semidirect
861. #3107	C₂×C₈₉	semidirect
862. #3102	C₂×C₈₉	semidirect
863. #2924	C₂×C₈₉	semidirect
864. C₈₉	#60984	direct (N × H)
910. #501	C₂²×C₈₉	semidirect
911. #501	C₂²×C₈₉	semidirect
912. #500	C₂²×C₈₉	semidirect
913. #498	C₂²×C₈₉	semidirect
914. #497	C₂²×C₈₉	semidirect
915. #497	C₂²×C₈₉	semidirect
916. #495	C₂²×C₈₉	semidirect
917. #495	C₂²×C₈₉	semidirect
918. #489	C₂²×C₈₉	semidirect
919. #489	C₂²×C₈₉	semidirect
920. #489	C₂²×C₈₉	semidirect
921. #489	C₂²×C₈₉	semidirect
922. #488	C₂²×C₈₉	semidirect
923. #488	C₂²×C₈₉	semidirect
924. #487	C₂²×C₈₉	semidirect
925. #487	C₂²×C₈₉	semidirect
942. #479	C₂²×C₈₉	semidirect
943. #479	C₂²×C₈₉	semidirect
944. #479	C₂²×C₈₉	semidirect
945. #479	C₂²×C₈₉	semidirect
946. #479	C₂²×C₈₉	semidirect
947. #479	C₂²×C₈₉	semidirect
948. #479	C₂²×C₈₉	semidirect
949. #479	C₂²×C₈₉	semidirect
950. #478	C₂²×C₈₉	semidirect
951. #478	C₂²×C₈₉	semidirect
952. #478	C₂²×C₈₉	semidirect
953. #478	C₂²×C₈₉	semidirect
954. #477	C₂²×C₈₉	semidirect
955. #476	C₂²×C₈₉	semidirect
956. #475	C₂²×C₈₉	semidirect
957. #474	C₂²×C₈₉	semidirect
974. #464	C₂²×C₈₉	semidirect
975. #464	C₂²×C₈₉	semidirect
976. #463	C₂²×C₈₉	semidirect
977. #463	C₂²×C₈₉	semidirect
978. #462	C₂²×C₈₉	semidirect
979. #462	C₂²×C₈₉	semidirect
980. #462	C₂²×C₈₉	semidirect
981. #462	C₂²×C₈₉	semidirect
982. #462	C₂²×C₈₉	semidirect
983. #461	C₂²×C₈₉	semidirect
984. #461	C₂²×C₈₉	semidirect
985. #461	C₂²×C₈₉	semidirect
986. #460	C₂²×C₈₉	semidirect
987. #460	C₂²×C₈₉	semidirect
988. #460	C₂²×C₈₉	semidirect
989. #459	C₂²×C₈₉	semidirect
1006. #442	C₂²×C₈₉	semidirect
1007. #441	C₂²×C₈₉	semidirect
1008. #441	C₂²×C₈₉	semidirect
1009. #441	C₂²×C₈₉	semidirect
1010. #440	C₂²×C₈₉	semidirect
1011. #440	C₂²×C₈₉	semidirect
1012. #440	C₂²×C₈₉	semidirect
1013. #440	C₂²×C₈₉	semidirect
1014. C₄×Q₁₆	C₂²×C₈₉	semidirect
1015. C₄×Q₁₆	C₂²×C₈₉	semidirect
1016. C₄×Q₁₆	C₂²×C₈₉	semidirect
1017. C₄×SD₁₆	C₂²×C₈₉	semidirect
1018. C₄×SD₁₆	C₂²×C₈₉	semidirect
1019. C₄×SD₁₆	C₂²×C₈₉	semidirect
1020. C₄×SD₁₆	C₂²×C₈₉	semidirect
1021. C₄×D₈	C₂²×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₈₉×#3495	2
C₈₉×#3455	2
C₈₉×#3261	2
C₈₉×#3260	2
C₈₉×#3258	2
C₈₉×#3257	2
C₈₉×#3244	2
C₈₉×#3243	2
C₈₉×#3240	2
C₈₉×#3231	2
C₈₉×#3225	2
C₈₉×#3216	2
C₈₉×#3212	2
C₈₉×#3197	2
C₈₉×#3196	2
C₈₉×#3191	2
C₈₉×#3190	2
C₈₉×#3178	2
C₈₉×#3175	2
C₈₉×#3173	2
C₈₉×#3127	2
C₈₉×#3126	2
C₈₉×#3120	2
C₈₉×#3119	2
C₈₉×#3116	2
C₈₉×#3111	2
C₈₉×#3107	2
C₈₉×#3102	2
C₈₉×#2924	2
#60984	89

Subgroups — C89×#60984 #36438832

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#60984 #36438832