Subgroups — C₈₉×#60998 #36438846

Order 22784.

1750 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3247	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×#3228	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3213	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3201	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3200	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3199	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3198	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3179	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3179	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×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#3122	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₈₉×#3105	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈₉×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	#559×C₈₉	—	2	1	no	—
33	#559×C₈₉	—	2	1	no	—
34	#556×C₈₉	—	2	1	no	—
35	#556×C₈₉	—	2	1	no	—
36	#551×C₈₉	—	2	1	no	—
37	#551×C₈₉	—	2	1	no	—
38	#551×C₈₉	—	2	1	no	—
39	#551×C₈₉	—	2	1	no	—
40	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#542×C₈₉	—	2	1	no	—
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, complemented
46	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
47	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
48	#540×C₈₉	—	2	1	no	—
49	#540×C₈₉	C₂²	1	1	yes	characteristic
50	#540×C₈₉	C₂²	1	1	yes	characteristic, complemented
51	#538×C₈₉	—	2	1	no	—
52	#538×C₈₉	—	2	1	no	—
53	#537×C₈₉	C₂²	1	1	yes	characteristic
54	#536×C₈₉	C₂²	1	1	yes	characteristic
55	#535×C₈₉	C₂²	1	1	yes	characteristic
56	#535×C₈₉	C₂²	1	1	yes	characteristic
57	#535×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
59	#532×C₈₉	—	2	1	no	—
60	#532×C₈₉	C₂²	1	1	yes	characteristic
61	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
62	#529×C₈₉	—	2	1	no	—
63	#529×C₈₉	C₂²	1	1	yes	characteristic
64	#529×C₈₉	C₂²	1	1	yes	characteristic
65	#529×C₈₉	C₂²	1	1	yes	characteristic
66	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
67	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
68	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
69	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
70	#525×C₈₉	—	2	1	no	—
71	#525×C₈₉	—	2	1	no	—
72	#519×C₈₉	C₂²	1	1	yes	characteristic, complemented
73	#518×C₈₉	C₂²	1	1	yes	characteristic, complemented
74	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
75	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
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	#496×C₈₉	C₂²	1	1	yes	characteristic
82	#496×C₈₉	C₂²	1	1	yes	characteristic
83	#495×C₈₉	C₂²	1	1	yes	characteristic
84	#495×C₈₉	C₂²	1	1	yes	characteristic
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	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
92	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
93	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
95	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#484×C₈₉	C₂²	1	1	yes	characteristic, complemented
98	#483×C₈₉	C₂²	1	1	yes	characteristic, complemented
99	#482×C₈₉	C₂²	1	1	yes	characteristic
100	#482×C₈₉	C₂²	1	1	yes	characteristic
101	#482×C₈₉	C₂²	1	1	yes	characteristic
102	#482×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, complemented
106	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
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	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
116	#478×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, complemented
126	#469×C₈₉	C₂²	1	1	yes	characteristic
127	#469×C₈₉	C₂²	1	1	yes	characteristic
128	#469×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
130	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
131	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
133	#467×C₈₉	C₂²	1	1	yes	characteristic, complemented
134	#466×C₈₉	C₂²	1	1	yes	characteristic
135	#466×C₈₉	C₂²	1	1	yes	characteristic
136	#466×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#465×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#465×C₈₉	C₂²	1	1	yes	characteristic, complemented
139	#465×C₈₉	C₂²	1	1	yes	characteristic, complemented
140	#465×C₈₉	C₂²	1	1	yes	characteristic, complemented
141	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
142	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
143	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
145	#463×C₈₉	C₂²	1	1	yes	characteristic
146	#463×C₈₉	C₂²	1	1	yes	characteristic
147	#463×C₈₉	C₂²	1	1	yes	characteristic
148	#463×C₈₉	C₂²	1	1	yes	characteristic
149	#463×C₈₉	C₂²	1	1	yes	characteristic
150	#463×C₈₉	C₂²	1	1	yes	characteristic
151	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	#463×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	#459×C₈₉	C₂²	1	1	yes	characteristic
156	#459×C₈₉	C₂²	1	1	yes	characteristic
157	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
159	#451×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
161	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
162	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
163	#449×C₈₉	C₂²	1	1	yes	characteristic
164	#449×C₈₉	C₂²	1	1	yes	characteristic
165	#448×C₈₉	C₂²	1	1	yes	characteristic
166	#448×C₈₉	C₂²	1	1	yes	characteristic
167	#448×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	#447×C₈₉	C₂²	1	1	yes	characteristic
169	#447×C₈₉	C₂²	1	1	yes	characteristic
170	#447×C₈₉	C₂²	1	1	yes	characteristic
171	#447×C₈₉	C₂²	1	1	yes	characteristic
172	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#442×C₈₉	C₂²	1	1	yes	characteristic
174	#442×C₈₉	C₂²	1	1	yes	characteristic
175	#442×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×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×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×D₈×C₈₉	C₂²	1	1	yes	characteristic
187	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic
188	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
190	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
191	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
192	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	#432×C₈₉	C₂²	1	1	yes	characteristic, complemented
194	#432×C₈₉	C₂²	1	1	yes	characteristic, complemented
195	#431×C₈₉	C₂²	1	1	yes	characteristic, complemented
196	#431×C₈₉	C₂²	1	1	yes	characteristic, complemented
197	#423×C₈₉	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
199	#408×C₈₉	C₂²	1	1	yes	characteristic
200	#408×C₈₉	C₂²	1	1	yes	characteristic
201	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
202	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₈₉	—	2	1	no	—
204	C₂×#41×C₈₉	—	2	1	no	—
205	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
206	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₈₉	—	2	1	no	—
211	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×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×D₈×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×D₈×C₈₉	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
228	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
230	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₈₉	—	2	1	no	—
232	C₄⋊Q₈×C₈₉	—	2	1	no	—
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	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
237	#127×C₈₉	—	2	1	no	—
238	#127×C₈₉	—	2	1	no	—
239	#127×C₈₉	C₂³	1	1	yes	characteristic
240	#127×C₈₉	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
255	#125×C₈₉	C₂³	1	1	yes	characteristic
256	#125×C₈₉	C₂³	1	1	yes	characteristic
257	#125×C₈₉	C₂³	1	1	yes	characteristic
258	#124×C₈₉	—	2	1	no	—
259	#124×C₈₉	—	2	1	no	—
260	#124×C₈₉	—	2	1	no	—
261	#124×C₈₉	—	2	1	no	—
262	#124×C₈₉	—	2	1	no	—
263	#124×C₈₉	—	2	1	no	—
264	#124×C₈₉	—	2	1	no	—
265	#124×C₈₉	—	2	1	no	—
266	#124×C₈₉	—	2	1	no	—
267	#124×C₈₉	—	2	1	no	—
268	#124×C₈₉	—	2	1	no	—
269	#124×C₈₉	—	2	1	no	—
270	#124×C₈₉	—	2	1	no	—
271	#124×C₈₉	C₂³	1	1	yes	characteristic
272	#124×C₈₉	C₂³	1	1	yes	characteristic
273	#124×C₈₉	C₂³	1	1	yes	characteristic
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	#123×C₈₉	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
307	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
308	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
309	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
310	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
311	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
312	#121×C₈₉	—	2	1	no	—
313	#121×C₈₉	—	2	1	no	—
314	#121×C₈₉	—	2	1	no	—
315	#121×C₈₉	—	2	1	no	—
316	#121×C₈₉	—	2	1	no	—
317	#121×C₈₉	—	2	1	no	—
318	#121×C₈₉	—	2	1	no	—
319	#121×C₈₉	—	2	1	no	—
320	#121×C₈₉	—	2	1	no	—
321	#121×C₈₉	—	2	1	no	—
322	#121×C₈₉	—	2	1	no	—
323	#121×C₈₉	C₂³	1	1	yes	characteristic
324	#121×C₈₉	C₂³	1	1	yes	characteristic
325	#121×C₈₉	C₂³	1	1	yes	characteristic
326	#121×C₈₉	C₂³	1	1	yes	characteristic
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	#120×C₈₉	—	2	1	no	—
337	#120×C₈₉	—	2	1	no	—
338	#120×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	—	2	1	no	—
343	C₄×Q₈×C₈₉	D₄	1	1	yes	characteristic
344	C₄×Q₈×C₈₉	D₄	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×D₄×C₈₉	—	2	1	no	—
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	D₄	1	1	yes	characteristic
366	C₄×D₄×C₈₉	D₄	1	1	yes	characteristic
367	C₄×D₄×C₈₉	D₄	1	1	yes	characteristic
368	C₄×D₄×C₈₉	D₄	1	1	yes	characteristic
369	C₄×D₄×C₈₉	D₄	1	1	yes	characteristic
370	C₄×D₄×C₈₉	D₄	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	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
381	#117×C₈₉	—	2	1	no	—
382	#117×C₈₉	—	2	1	no	—
383	#117×C₈₉	—	2	1	no	—
384	#117×C₈₉	—	2	1	no	—
385	#117×C₈₉	—	2	1	no	—
386	#117×C₈₉	—	2	1	no	—
387	#117×C₈₉	—	2	1	no	—
388	#117×C₈₉	—	2	1	no	—
389	#117×C₈₉	—	2	1	no	—
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	#117×C₈₉	C₂³	1	1	yes	characteristic
395	#117×C₈₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
397	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
399	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
402	C₂×C₄²×C₈₉	—	2	1	no	—
403	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
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	#102×C₈₉	C₂³	1	1	yes	characteristic
443	#102×C₈₉	C₂³	1	1	yes	characteristic
444	#102×C₈₉	C₂³	1	1	yes	characteristic
445	#102×C₈₉	C₂³	1	1	yes	characteristic
446	#102×C₈₉	C₂³	1	1	yes	characteristic
447	#102×C₈₉	C₂³	1	1	yes	characteristic
448	#102×C₈₉	C₂³	1	1	yes	characteristic
449	#102×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	—	2	1	no	—
479	C₂⁴×C₈₉	—	2	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	—	8	2	no	—
485	#41×C₈₉	—	8	2	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	—	2	1	no	—
491	C₂×Q₈×C₈₉	—	4	1	no	—
492	C₂×Q₈×C₈₉	—	4	1	no	—
493	C₂×Q₈×C₈₉	C₂×D₄	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	—	2	1	no	—
509	C₂×D₄×C₈₉	—	2	1	no	—
510	C₂×D₄×C₈₉	—	2	1	no	—
511	C₂×D₄×C₈₉	—	2	1	no	—
512	C₂×D₄×C₈₉	—	2	1	no	—
513	C₂×D₄×C₈₉	—	2	1	no	—
514	C₂×D₄×C₈₉	—	4	1	no	—
515	C₂×D₄×C₈₉	—	4	1	no	—
516	C₂×D₄×C₈₉	—	4	1	no	—
517	C₂×D₄×C₈₉	—	4	1	no	—
518	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
521	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
525	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₈₉	—	2	1	no	—
527	C₂²×C₄×C₈₉	—	2	1	no	—
528	C₂²×C₄×C₈₉	—	2	1	no	—
529	C₂²×C₄×C₈₉	—	2	1	no	—
530	C₂²×C₄×C₈₉	—	2	1	no	—
531	C₂²×C₄×C₈₉	—	2	1	no	—
532	C₂²×C₄×C₈₉	—	2	1	no	—
533	C₂²×C₄×C₈₉	—	2	1	no	—
534	C₂²×C₄×C₈₉	—	2	1	no	—
535	C₂²×C₄×C₈₉	—	2	1	no	—
536	C₂²×C₄×C₈₉	—	2	1	no	—
537	C₂²×C₄×C₈₉	—	2	1	no	—
538	C₂²×C₄×C₈₉	—	2	1	no	—
539	C₂²×C₄×C₈₉	—	8	2	no	—
540	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂×D₄	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	Q₁₆×C₈₉	—	4	1	no	—
550	Q₁₆×C₈₉	—	4	1	no	—
551	SD₁₆×C₈₉	—	4	1	no	—
552	SD₁₆×C₈₉	—	4	1	no	—
553	SD₁₆×C₈₉	—	4	1	no	—
554	SD₁₆×C₈₉	—	4	1	no	—
555	SD₁₆×C₈₉	—	4	1	no	—
556	SD₁₆×C₈₉	—	4	1	no	—
557	SD₁₆×C₈₉	—	4	1	no	—
558	SD₁₆×C₈₉	—	4	1	no	—
559	D₈×C₈₉	—	4	1	no	—
560	D₈×C₈₉	—	4	1	no	—
561	D₈×C₈₉	—	4	1	no	—
562	D₈×C₈₉	—	4	1	no	—
563	D₈×C₈₉	—	4	1	no	—
564	D₈×C₈₉	—	4	1	no	—
565	M₁₆×C₈₉	—	4	1	no	—
566	M₁₆×C₈₉	—	4	1	no	—
567	C₂×C₈×C₈₉	—	4	1	no	—
568	C₂×C₈×C₈₉	—	4	1	no	—
569	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂⁴	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	C₂²⋊C₄×C₈₉	—	2	1	no	—
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	—	2	1	no	—
651	C₂²⋊C₄×C₈₉	—	2	1	no	—
652	C₂²⋊C₄×C₈₉	—	2	1	no	—
653	C₂²⋊C₄×C₈₉	—	2	1	no	—
654	C₂²⋊C₄×C₈₉	—	2	1	no	—
655	C₂²⋊C₄×C₈₉	—	2	1	no	—
656	C₂²⋊C₄×C₈₉	—	2	1	no	—
657	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
679	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
680	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
681	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	4	2	no	—
688	C₂³×C₈₉	—	4	2	no	—
689	C₂³×C₈₉	—	8	1	no	—
690	C₂³×C₈₉	—	8	1	no	—
691	C₂³×C₈₉	—	8	1	no	—
692	C₂³×C₈₉	—	8	1	no	—
693	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
694	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
695	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
696	Q₈×C₈₉	—	2	1	no	—
697	Q₈×C₈₉	—	2	1	no	—
698	Q₈×C₈₉	—	2	1	no	—
699	Q₈×C₈₉	—	2	1	no	—
700	Q₈×C₈₉	—	2	1	no	—
701	Q₈×C₈₉	—	2	1	no	—
702	Q₈×C₈₉	—	4	1	no	—
703	Q₈×C₈₉	—	4	2	no	—
704	Q₈×C₈₉	—	8	1	no	—
705	Q₈×C₈₉	—	8	1	no	—
706	Q₈×C₈₉	—	8	1	no	—
707	Q₈×C₈₉	—	8	1	no	—
708	D₄×C₈₉	—	2	1	no	—
709	D₄×C₈₉	—	2	1	no	—
710	D₄×C₈₉	—	2	1	no	—
711	D₄×C₈₉	—	2	1	no	—
712	D₄×C₈₉	—	2	1	no	—
713	D₄×C₈₉	—	2	1	no	—
714	D₄×C₈₉	—	2	1	no	—
715	D₄×C₈₉	—	2	1	no	—
716	D₄×C₈₉	—	2	1	no	—
717	D₄×C₈₉	—	2	1	no	—
718	D₄×C₈₉	—	4	1	no	—
719	D₄×C₈₉	—	4	1	no	—
720	D₄×C₈₉	—	4	1	no	—
721	D₄×C₈₉	—	4	2	no	—
722	D₄×C₈₉	—	4	2	no	—
723	D₄×C₈₉	—	4	2	no	—
724	D₄×C₈₉	—	8	1	no	—
725	D₄×C₈₉	—	8	1	no	—
726	D₄×C₈₉	—	8	1	no	—
727	D₄×C₈₉	—	8	1	no	—
728	D₄×C₈₉	—	8	1	no	—
729	D₄×C₈₉	—	8	1	no	—
730	D₄×C₈₉	—	8	1	no	—
731	D₄×C₈₉	—	8	1	no	—
732	D₄×C₈₉	—	8	1	no	—
733	D₄×C₈₉	—	8	1	no	—
734	D₄×C₈₉	—	8	1	no	—
735	D₄×C₈₉	—	8	1	no	—
736	D₄×C₈₉	—	8	1	no	—
737	D₄×C₈₉	—	8	1	no	—
738	C₂×C₄×C₈₉	—	2	1	no	—
739	C₂×C₄×C₈₉	—	2	1	no	—
740	C₂×C₄×C₈₉	—	2	1	no	—
741	C₂×C₄×C₈₉	—	2	1	no	—
742	C₂×C₄×C₈₉	—	2	1	no	—
743	C₂×C₄×C₈₉	—	2	1	no	—
744	C₂×C₄×C₈₉	—	2	1	no	—
745	C₂×C₄×C₈₉	—	2	1	no	—
746	C₂×C₄×C₈₉	—	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	—	4	1	no	—
756	C₂×C₄×C₈₉	—	4	1	no	—
757	C₂×C₄×C₈₉	—	4	1	no	—
758	C₂×C₄×C₈₉	—	4	1	no	—
759	C₂×C₄×C₈₉	—	4	1	no	—
760	C₂×C₄×C₈₉	—	4	1	no	—
761	C₂×C₄×C₈₉	—	4	2	no	—
762	C₂×C₄×C₈₉	—	4	2	no	—
763	C₂×C₄×C₈₉	—	4	2	no	—
764	C₂×C₄×C₈₉	—	4	2	no	—
765	C₂×C₄×C₈₉	—	4	2	no	—
766	C₂×C₄×C₈₉	—	8	1	no	—
767	C₂×C₄×C₈₉	—	8	1	no	—
768	C₂×C₄×C₈₉	—	8	1	no	—
769	C₂×C₄×C₈₉	—	8	1	no	—
770	C₂×C₄×C₈₉	—	8	1	no	—
771	C₂×C₄×C₈₉	—	8	1	no	—
772	C₂×C₄×C₈₉	—	8	1	no	—
773	C₂×C₄×C₈₉	—	8	1	no	—
774	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
786	C₈×C₈₉	—	2	1	no	—
787	C₈×C₈₉	—	2	1	no	—
788	C₈×C₈₉	—	2	1	no	—
789	C₈×C₈₉	—	2	1	no	—
790	C₈×C₈₉	—	2	1	no	—
791	C₈×C₈₉	—	2	1	no	—
792	C₈×C₈₉	—	2	1	no	—
793	C₈×C₈₉	—	2	1	no	—
794	C₂²×C₈₉	—	2	1	no	—
795	C₂²×C₈₉	—	2	1	no	—
796	C₂²×C₈₉	—	2	1	no	—
797	C₂²×C₈₉	—	2	1	no	—
798	C₂²×C₈₉	—	2	1	no	—
799	C₂²×C₈₉	—	2	1	no	—
800	C₂²×C₈₉	—	2	1	no	—
801	C₂²×C₈₉	—	2	1	no	—
802	C₂²×C₈₉	—	2	1	no	—
803	C₂²×C₈₉	—	4	1	no	—
804	C₂²×C₈₉	—	4	1	no	—
805	C₂²×C₈₉	—	4	1	no	—
806	C₂²×C₈₉	—	4	1	no	—
807	C₂²×C₈₉	—	4	1	no	—
808	C₂²×C₈₉	—	4	1	no	—
809	C₂²×C₈₉	—	4	1	no	—
810	C₂²×C₈₉	—	4	1	no	—
811	C₂²×C₈₉	—	4	1	no	—
812	C₂²×C₈₉	—	4	1	no	—
813	C₂²×C₈₉	—	4	1	no	—
814	C₂²×C₈₉	—	4	1	no	—
815	C₂²×C₈₉	—	4	1	no	—
816	C₂²×C₈₉	—	4	1	no	—
817	C₂²×C₈₉	—	4	1	no	—
818	C₂²×C₈₉	—	8	4	no	—
819	C₂²×C₈₉	—	16	2	no	—
820	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
821	C₄×C₈₉	—	2	1	no	—
822	C₄×C₈₉	—	2	1	no	—
823	C₄×C₈₉	—	2	1	no	—
824	C₄×C₈₉	—	2	1	no	—
825	C₄×C₈₉	—	2	1	no	—
826	C₄×C₈₉	—	2	1	no	—
827	C₄×C₈₉	—	2	1	no	—
828	C₄×C₈₉	—	2	1	no	—
829	C₄×C₈₉	—	2	1	no	—
830	C₄×C₈₉	—	2	1	no	—
831	C₄×C₈₉	—	2	1	no	—
832	C₄×C₈₉	—	4	1	no	—
833	C₄×C₈₉	—	4	1	no	—
834	C₄×C₈₉	—	4	1	no	—
835	C₄×C₈₉	—	4	1	no	—
836	C₄×C₈₉	—	4	1	no	—
837	C₄×C₈₉	—	4	1	no	—
838	C₄×C₈₉	—	4	1	no	—
839	C₄×C₈₉	—	4	1	no	—
840	C₄×C₈₉	—	4	1	no	—
841	C₄×C₈₉	—	4	1	no	—
842	C₄×C₈₉	—	4	1	no	—
843	C₄×C₈₉	#585	1	1	yes	characteristic
844	C₄×C₈₉	#585	1	1	yes	characteristic
845	#60998	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
846	C₂×C₈₉	—	4	1	no	—
847	C₂×C₈₉	—	4	1	no	—
848	C₂×C₈₉	—	4	1	no	—
849	C₂×C₈₉	—	8	1	no	—
850	C₂×C₈₉	—	8	1	no	—
851	C₂×C₈₉	—	8	1	no	—
852	C₂×C₈₉	—	8	1	no	—
853	C₂×C₈₉	—	8	1	no	—
854	C₂×C₈₉	#3449	1	1	yes	characteristic
855	C₂×C₈₉	#3584	1	1	yes	characteristic
856	C₂×C₈₉	#3585	1	1	yes	characteristic
857	#3510	C₂×C₈₉	1	1	yes	characteristic, complemented
858	#3460	C₂×C₈₉	1	1	yes	characteristic, complemented
859	#3256	C₂×C₈₉	1	1	yes	characteristic, complemented
860	#3251	C₂×C₈₉	1	1	yes	characteristic, complemented
861	#3250	C₂×C₈₉	1	1	yes	characteristic, complemented
862	#3247	C₂×C₈₉	1	1	yes	characteristic, complemented
863	#3244	C₂×C₈₉	1	1	yes	characteristic, complemented
864	#3243	C₂×C₈₉	1	1	yes	characteristic, complemented
865	#3240	C₂×C₈₉	1	1	yes	characteristic, complemented
866	#3228	C₂×C₈₉	1	1	yes	characteristic, complemented
867	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
868	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
869	#3213	C₂×C₈₉	1	1	yes	characteristic, complemented
870	#3211	C₂×C₈₉	1	1	yes	characteristic, complemented
871	#3201	C₂×C₈₉	1	1	yes	characteristic, complemented
872	#3200	C₂×C₈₉	1	1	yes	characteristic, complemented
873	#3199	C₂×C₈₉	1	1	yes	characteristic, complemented
874	#3198	C₂×C₈₉	1	1	yes	characteristic, complemented
875	#3179	C₂×C₈₉	1	1	yes	characteristic, complemented
876	#3179	C₂×C₈₉	1	1	yes	characteristic, complemented
877	#3175	C₂×C₈₉	1	1	yes	characteristic, complemented
878	#3173	C₂×C₈₉	1	1	yes	characteristic, complemented
879	#3126	C₂×C₈₉	1	1	yes	characteristic, complemented
880	#3122	C₂×C₈₉	1	1	yes	characteristic, complemented
881	#3121	C₂×C₈₉	1	1	yes	characteristic, complemented
882	#3118	C₂×C₈₉	1	1	yes	characteristic, complemented
883	#3114	C₂×C₈₉	1	1	yes	characteristic, complemented
884	#3111	C₂×C₈₉	1	1	yes	characteristic, complemented
885	#3105	C₂×C₈₉	1	1	yes	characteristic, complemented
886	#3102	C₂×C₈₉	1	1	yes	characteristic, complemented
887	#2925	C₂×C₈₉	1	1	yes	characteristic, complemented
888	C₈₉	#60998	1	1	yes	characteristic, direct product factor, Sylow
889	#559	—	2	1	no	—
890	#559	—	2	1	no	—
891	#556	—	2	1	no	—
892	#556	—	2	1	no	—
893	#551	—	2	1	no	—
894	#551	—	2	1	no	—
895	#551	—	2	1	no	—
896	#551	—	2	1	no	—
897	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
898	#542	—	2	1	no	—
899	#542	C₂²×C₈₉	1	1	yes	characteristic
900	#542	C₂²×C₈₉	1	1	yes	characteristic
901	#542	C₂²×C₈₉	1	1	yes	characteristic
902	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
903	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
904	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
905	#540	—	2	1	no	—
906	#540	C₂²×C₈₉	1	1	yes	characteristic
907	#540	C₂²×C₈₉	1	1	yes	characteristic, complemented
908	#538	—	2	1	no	—
909	#538	—	2	1	no	—
910	#537	C₂²×C₈₉	1	1	yes	characteristic
911	#536	C₂²×C₈₉	1	1	yes	characteristic
912	#535	C₂²×C₈₉	1	1	yes	characteristic
913	#535	C₂²×C₈₉	1	1	yes	characteristic
914	#535	C₂²×C₈₉	1	1	yes	characteristic, complemented
915	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
916	#532	—	2	1	no	—
917	#532	C₂²×C₈₉	1	1	yes	characteristic
918	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
919	#529	—	2	1	no	—
920	#529	C₂²×C₈₉	1	1	yes	characteristic
921	#529	C₂²×C₈₉	1	1	yes	characteristic
922	#529	C₂²×C₈₉	1	1	yes	characteristic
923	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
924	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
925	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
926	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
927	#525	—	2	1	no	—
928	#525	—	2	1	no	—
929	#519	C₂²×C₈₉	1	1	yes	characteristic, complemented
930	#518	C₂²×C₈₉	1	1	yes	characteristic, complemented
931	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
932	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
933	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
934	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
935	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
936	#500	C₂²×C₈₉	1	1	yes	characteristic, complemented
937	#498	C₂²×C₈₉	1	1	yes	characteristic, complemented
938	#496	C₂²×C₈₉	1	1	yes	characteristic
939	#496	C₂²×C₈₉	1	1	yes	characteristic
940	#495	C₂²×C₈₉	1	1	yes	characteristic
941	#495	C₂²×C₈₉	1	1	yes	characteristic
942	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
943	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
944	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
945	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
946	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
947	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
948	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
949	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
950	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
951	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
952	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
953	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
954	#484	C₂²×C₈₉	1	1	yes	characteristic, complemented
955	#483	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#482	C₂²×C₈₉	1	1	yes	characteristic
957	#482	C₂²×C₈₉	1	1	yes	characteristic
958	#482	C₂²×C₈₉	1	1	yes	characteristic
959	#482	C₂²×C₈₉	1	1	yes	characteristic
960	#482	C₂²×C₈₉	1	1	yes	characteristic
961	#482	C₂²×C₈₉	1	1	yes	characteristic
962	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
963	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
964	#481	C₂²×C₈₉	1	1	yes	characteristic
965	#480	C₂²×C₈₉	1	1	yes	characteristic
966	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
967	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
968	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
969	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
972	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
973	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
974	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
975	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
976	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
978	#477	C₂²×C₈₉	1	1	yes	characteristic, complemented
979	#476	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#475	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#474	C₂²×C₈₉	1	1	yes	characteristic, complemented
982	#470	C₂²×C₈₉	1	1	yes	characteristic, complemented
983	#469	C₂²×C₈₉	1	1	yes	characteristic
984	#469	C₂²×C₈₉	1	1	yes	characteristic
985	#469	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
989	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	#467	C₂²×C₈₉	1	1	yes	characteristic, complemented
991	#466	C₂²×C₈₉	1	1	yes	characteristic
992	#466	C₂²×C₈₉	1	1	yes	characteristic
993	#466	C₂²×C₈₉	1	1	yes	characteristic, complemented
994	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
995	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
996	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
997	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
998	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
999	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1002	#463	C₂²×C₈₉	1	1	yes	characteristic
1003	#463	C₂²×C₈₉	1	1	yes	characteristic
1004	#463	C₂²×C₈₉	1	1	yes	characteristic
1005	#463	C₂²×C₈₉	1	1	yes	characteristic
1006	#463	C₂²×C₈₉	1	1	yes	characteristic
1007	#463	C₂²×C₈₉	1	1	yes	characteristic
1008	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1009	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
1011	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#459	C₂²×C₈₉	1	1	yes	characteristic
1013	#459	C₂²×C₈₉	1	1	yes	characteristic
1014	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1016	#451	C₂²×C₈₉	1	1	yes	characteristic, complemented
1017	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1018	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1019	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1020	#449	C₂²×C₈₉	1	1	yes	characteristic
1021	#449	C₂²×C₈₉	1	1	yes	characteristic
1022	#448	C₂²×C₈₉	1	1	yes	characteristic
1023	#448	C₂²×C₈₉	1	1	yes	characteristic
1024	#448	C₂²×C₈₉	1	1	yes	characteristic, complemented
1025	#447	C₂²×C₈₉	1	1	yes	characteristic
1026	#447	C₂²×C₈₉	1	1	yes	characteristic
1027	#447	C₂²×C₈₉	1	1	yes	characteristic
1028	#447	C₂²×C₈₉	1	1	yes	characteristic
1029	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1030	#442	C₂²×C₈₉	1	1	yes	characteristic
1031	#442	C₂²×C₈₉	1	1	yes	characteristic
1032	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1033	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1034	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1035	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1036	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1037	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1038	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1039	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1041	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1042	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1043	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
1044	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
1045	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1046	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1047	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1048	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1049	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1050	#432	C₂²×C₈₉	1	1	yes	characteristic, complemented
1051	#432	C₂²×C₈₉	1	1	yes	characteristic, complemented
1052	#431	C₂²×C₈₉	1	1	yes	characteristic, complemented
1053	#431	C₂²×C₈₉	1	1	yes	characteristic, complemented
1054	#423	C₂²×C₈₉	1	1	yes	characteristic, complemented
1055	C₂×C₄⋊C₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1056	#408	C₂²×C₈₉	1	1	yes	characteristic
1057	#408	C₂²×C₈₉	1	1	yes	characteristic
1058	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1059	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1060	C₂×#41	—	2	1	no	—
1061	C₂×#41	—	2	1	no	—
1062	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1064	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1065	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1066	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1067	C₂³×C₄	—	2	1	no	—
1068	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1069	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1081	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1082	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1083	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1084	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1085	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1087	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1088	C₄⋊Q₈	—	2	1	no	—
1089	C₄⋊Q₈	—	2	1	no	—
1090	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1091	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1092	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1093	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1094	#127	—	2	1	no	—
1095	#127	—	2	1	no	—
1096	#127	C₂³×C₈₉	1	1	yes	characteristic
1097	#127	C₂³×C₈₉	1	1	yes	characteristic
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	C₂³×C₈₉	1	1	yes	characteristic
1112	#125	C₂³×C₈₉	1	1	yes	characteristic
1113	#125	C₂³×C₈₉	1	1	yes	characteristic
1114	#125	C₂³×C₈₉	1	1	yes	characteristic
1115	#124	—	2	1	no	—
1116	#124	—	2	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	—	2	1	no	—
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	C₂³×C₈₉	1	1	yes	characteristic
1129	#124	C₂³×C₈₉	1	1	yes	characteristic
1130	#124	C₂³×C₈₉	1	1	yes	characteristic
1131	#124	C₂³×C₈₉	1	1	yes	characteristic
1132	#124	C₂³×C₈₉	1	1	yes	characteristic
1133	#124	C₂³×C₈₉	1	1	yes	characteristic
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	2	1	no	—
1162	C₂²⋊Q₈	—	2	1	no	—
1163	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1166	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1168	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	C₂³×C₈₉	1	1	yes	characteristic
1181	#121	C₂³×C₈₉	1	1	yes	characteristic
1182	#121	C₂³×C₈₉	1	1	yes	characteristic
1183	#121	C₂³×C₈₉	1	1	yes	characteristic
1184	#121	C₂³×C₈₉	1	1	yes	characteristic
1185	#121	C₂³×C₈₉	1	1	yes	characteristic
1186	#121	C₂³×C₈₉	1	1	yes	characteristic
1187	#121	C₂³×C₈₉	1	1	yes	characteristic
1188	#121	C₂³×C₈₉	1	1	yes	characteristic
1189	#121	C₂³×C₈₉	1	1	yes	characteristic
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	#120	—	2	1	no	—
1194	#120	—	2	1	no	—
1195	#120	—	2	1	no	—
1196	C₄×Q₈	—	2	1	no	—
1197	C₄×Q₈	—	2	1	no	—
1198	C₄×Q₈	—	2	1	no	—
1199	C₄×Q₈	—	2	1	no	—
1200	C₄×Q₈	D₄×C₈₉	1	1	yes	characteristic
1201	C₄×Q₈	D₄×C₈₉	1	1	yes	characteristic
1202	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1203	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1204	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	—	2	1	no	—
1222	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1223	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1224	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1225	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1226	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1227	C₄×D₄	D₄×C₈₉	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1233	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1234	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1238	#117	—	2	1	no	—
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	C₂³×C₈₉	1	1	yes	characteristic
1248	#117	C₂³×C₈₉	1	1	yes	characteristic
1249	#117	C₂³×C₈₉	1	1	yes	characteristic
1250	#117	C₂³×C₈₉	1	1	yes	characteristic
1251	#117	C₂³×C₈₉	1	1	yes	characteristic
1252	#117	C₂³×C₈₉	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	2	1	no	—
1256	C₂×C₂²⋊C₄	—	2	1	no	—
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₄²	—	2	1	no	—
1260	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1261	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1262	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1263	#107	C₂³×C₈₉	1	1	yes	characteristic
1264	#107	C₂³×C₈₉	1	1	yes	characteristic
1265	#107	C₂³×C₈₉	1	1	yes	characteristic
1266	#107	C₂³×C₈₉	1	1	yes	characteristic
1267	#107	C₂³×C₈₉	1	1	yes	characteristic
1268	#107	C₂³×C₈₉	1	1	yes	characteristic
1269	#107	C₂³×C₈₉	1	1	yes	characteristic
1270	#107	C₂³×C₈₉	1	1	yes	characteristic
1271	#106	C₂³×C₈₉	1	1	yes	characteristic
1272	#106	C₂³×C₈₉	1	1	yes	characteristic
1273	#106	C₂³×C₈₉	1	1	yes	characteristic
1274	#106	C₂³×C₈₉	1	1	yes	characteristic
1275	#106	C₂³×C₈₉	1	1	yes	characteristic
1276	#106	C₂³×C₈₉	1	1	yes	characteristic
1277	#106	C₂³×C₈₉	1	1	yes	characteristic
1278	#106	C₂³×C₈₉	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1280	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1281	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1282	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1283	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1284	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1285	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1286	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1287	#103	C₂³×C₈₉	1	1	yes	characteristic
1288	#103	C₂³×C₈₉	1	1	yes	characteristic
1289	#103	C₂³×C₈₉	1	1	yes	characteristic
1290	#103	C₂³×C₈₉	1	1	yes	characteristic
1291	#103	C₂³×C₈₉	1	1	yes	characteristic
1292	#103	C₂³×C₈₉	1	1	yes	characteristic
1293	#103	C₂³×C₈₉	1	1	yes	characteristic
1294	#103	C₂³×C₈₉	1	1	yes	characteristic
1295	#103	C₂³×C₈₉	1	1	yes	characteristic
1296	#103	C₂³×C₈₉	1	1	yes	characteristic
1297	#103	C₂³×C₈₉	1	1	yes	characteristic
1298	#103	C₂³×C₈₉	1	1	yes	characteristic
1299	#102	C₂³×C₈₉	1	1	yes	characteristic
1300	#102	C₂³×C₈₉	1	1	yes	characteristic
1301	#102	C₂³×C₈₉	1	1	yes	characteristic
1302	#102	C₂³×C₈₉	1	1	yes	characteristic
1303	#102	C₂³×C₈₉	1	1	yes	characteristic
1304	#102	C₂³×C₈₉	1	1	yes	characteristic
1305	#102	C₂³×C₈₉	1	1	yes	characteristic
1306	#102	C₂³×C₈₉	1	1	yes	characteristic
1307	#102	C₂³×C₈₉	1	1	yes	characteristic
1308	#102	C₂³×C₈₉	1	1	yes	characteristic
1309	#102	C₂³×C₈₉	1	1	yes	characteristic
1310	#102	C₂³×C₈₉	1	1	yes	characteristic
1311	#102	C₂³×C₈₉	1	1	yes	characteristic
1312	#102	C₂³×C₈₉	1	1	yes	characteristic
1313	#102	C₂³×C₈₉	1	1	yes	characteristic
1314	#102	C₂³×C₈₉	1	1	yes	characteristic
1315	#102	C₂³×C₈₉	1	1	yes	characteristic
1316	#102	C₂³×C₈₉	1	1	yes	characteristic
1317	#102	C₂³×C₈₉	1	1	yes	characteristic
1318	#102	C₂³×C₈₉	1	1	yes	characteristic
1319	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1326	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1327	#97	C₂³×C₈₉	1	1	yes	characteristic
1328	#97	C₂³×C₈₉	1	1	yes	characteristic
1329	#97	C₂³×C₈₉	1	1	yes	characteristic
1330	#97	C₂³×C₈₉	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1333	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1334	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1335	C₂⁴	—	2	1	no	—
1336	C₂⁴	—	2	1	no	—
1337	#41	—	4	1	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	8	2	no	—
1342	#41	—	8	2	no	—
1343	C₂×Q₈	—	2	1	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	4	1	no	—
1349	C₂×Q₈	—	4	1	no	—
1350	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
1351	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1352	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	4	1	no	—
1372	C₂×D₄	—	4	1	no	—
1373	C₂×D₄	—	4	1	no	—
1374	C₂×D₄	—	4	1	no	—
1375	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1376	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1377	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1378	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1379	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1380	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1381	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1382	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	8	2	no	—
1397	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1398	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1399	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1400	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1401	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1402	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1406	Q₁₆	—	4	1	no	—
1407	Q₁₆	—	4	1	no	—
1408	SD₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	D₈	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	4	1	no	—
1420	D₈	—	4	1	no	—
1421	D₈	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	M₁₆	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
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	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1530	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1531	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1532	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1533	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1534	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1535	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1537	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1538	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	4	2	no	—
1545	C₂³	—	4	2	no	—
1546	C₂³	—	8	1	no	—
1547	C₂³	—	8	1	no	—
1548	C₂³	—	8	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1551	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1552	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	4	1	no	—
1560	Q₈	—	4	2	no	—
1561	Q₈	—	8	1	no	—
1562	Q₈	—	8	1	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	—	8	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	4	1	no	—
1578	D₄	—	4	2	no	—
1579	D₄	—	4	2	no	—
1580	D₄	—	4	2	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	1	no	—
1615	C₂×C₄	—	4	1	no	—
1616	C₂×C₄	—	4	1	no	—
1617	C₂×C₄	—	4	1	no	—
1618	C₂×C₄	—	4	2	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	2	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1642	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	8	4	no	—
1676	C₂²	—	16	2	no	—
1677	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	#585×C₈₉	1	1	yes	characteristic
1701	C₄	#585×C₈₉	1	1	yes	characteristic
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	8	1	no	—
1709	C₂	—	8	1	no	—
1710	C₂	C₈₉×#3449	1	1	yes	characteristic
1711	C₂	C₈₉×#3584	1	1	yes	characteristic
1712	C₂	C₈₉×#3585	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 ◁ C₄×#41×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3510	C₂	semidirect
2. C₈₉×#3460	C₂	semidirect
3. C₈₉×#3256	C₂	semidirect
4. C₈₉×#3251	C₂	semidirect
5. C₈₉×#3250	C₂	semidirect
6. C₈₉×#3247	C₂	semidirect
7. C₈₉×#3244	C₂	semidirect
8. C₈₉×#3243	C₂	semidirect
9. C₈₉×#3240	C₂	semidirect
10. C₈₉×#3228	C₂	semidirect
11. C₈₉×#3224	C₂	semidirect
12. C₈₉×#3224	C₂	semidirect
13. C₈₉×#3213	C₂	semidirect
14. C₈₉×#3211	C₂	semidirect
15. C₈₉×#3201	C₂	semidirect
16. C₈₉×#3200	C₂	semidirect
17. C₈₉×#3199	C₂	semidirect
18. C₈₉×#3198	C₂	semidirect
19. C₈₉×#3179	C₂	semidirect
20. C₈₉×#3179	C₂	semidirect
21. C₈₉×#3175	C₂	semidirect
22. C₈₉×#3173	C₂	semidirect
23. C₈₉×#3126	C₂	semidirect
24. C₈₉×#3122	C₂	semidirect
25. C₈₉×#3121	C₂	semidirect
26. C₈₉×#3118	C₂	semidirect
27. C₈₉×#3114	C₂	semidirect
28. C₈₉×#3111	C₂	semidirect
29. C₈₉×#3105	C₂	semidirect
30. C₈₉×#3102	C₂	semidirect
31. C₈₉×#2925	C₂	semidirect
40. #544×C₈₉	C₂²	semidirect
45. #542×C₈₉	C₂²	semidirect
46. #542×C₈₉	C₂²	semidirect
47. #542×C₈₉	C₂²	semidirect
50. #540×C₈₉	C₂²	semidirect
57. #535×C₈₉	C₂²	semidirect
58. #533×C₈₉	C₂²	semidirect
61. #532×C₈₉	C₂²	semidirect
66. #529×C₈₉	C₂²	semidirect
67. #529×C₈₉	C₂²	semidirect
68. #529×C₈₉	C₂²	semidirect
69. C₂×#124×C₈₉	C₂²	semidirect
72. #519×C₈₉	C₂²	semidirect
73. #518×C₈₉	C₂²	semidirect
75. C₄×#41×C₈₉	C₂²	semidirect
76. C₂×C₄×D₄×C₈₉	C₂²	semidirect
77. #501×C₈₉	C₂²	semidirect
78. #501×C₈₉	C₂²	semidirect
79. #500×C₈₉	C₂²	semidirect
80. #498×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. #486×C₈₉	C₂²	semidirect
92. #486×C₈₉	C₂²	semidirect
93. #485×C₈₉	C₂²	semidirect
94. #485×C₈₉	C₂²	semidirect
95. #485×C₈₉	C₂²	semidirect
96. #485×C₈₉	C₂²	semidirect
97. #484×C₈₉	C₂²	semidirect
98. #483×C₈₉	C₂²	semidirect
105. #482×C₈₉	C₂²	semidirect
106. #482×C₈₉	C₂²	semidirect
109. #479×C₈₉	C₂²	semidirect
110. #479×C₈₉	C₂²	semidirect
111. #479×C₈₉	C₂²	semidirect
112. #479×C₈₉	C₂²	semidirect
113. #478×C₈₉	C₂²	semidirect
114. #478×C₈₉	C₂²	semidirect
115. #478×C₈₉	C₂²	semidirect
116. #478×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
125. #470×C₈₉	C₂²	semidirect
128. #469×C₈₉	C₂²	semidirect
129. #468×C₈₉	C₂²	semidirect
130. #468×C₈₉	C₂²	semidirect
131. #468×C₈₉	C₂²	semidirect
132. #468×C₈₉	C₂²	semidirect
133. #467×C₈₉	C₂²	semidirect
136. #466×C₈₉	C₂²	semidirect
137. #465×C₈₉	C₂²	semidirect
138. #465×C₈₉	C₂²	semidirect
139. #465×C₈₉	C₂²	semidirect
140. #465×C₈₉	C₂²	semidirect
141. #464×C₈₉	C₂²	semidirect
142. #464×C₈₉	C₂²	semidirect
143. #464×C₈₉	C₂²	semidirect
144. #464×C₈₉	C₂²	semidirect
151. #463×C₈₉	C₂²	semidirect
152. #463×C₈₉	C₂²	semidirect
153. #460×C₈₉	C₂²	semidirect
154. #460×C₈₉	C₂²	semidirect
157. #452×C₈₉	C₂²	semidirect
158. #452×C₈₉	C₂²	semidirect
159. #451×C₈₉	C₂²	semidirect
160. #450×C₈₉	C₂²	semidirect
161. #450×C₈₉	C₂²	semidirect
162. #450×C₈₉	C₂²	semidirect
167. #448×C₈₉	C₂²	semidirect
172. #447×C₈₉	C₂²	semidirect
175. #442×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×SD₁₆×C₈₉	C₂²	semidirect
183. C₄×SD₁₆×C₈₉	C₂²	semidirect
184. C₄×SD₁₆×C₈₉	C₂²	semidirect
185. C₄×SD₁₆×C₈₉	C₂²	semidirect
188. C₄×D₈×C₈₉	C₂²	semidirect
189. #433×C₈₉	C₂²	semidirect
190. #433×C₈₉	C₂²	semidirect
191. #433×C₈₉	C₂²	semidirect
192. #433×C₈₉	C₂²	semidirect
193. #432×C₈₉	C₂²	semidirect
194. #432×C₈₉	C₂²	semidirect
195. #431×C₈₉	C₂²	semidirect
196. #431×C₈₉	C₂²	semidirect
197. #423×C₈₉	C₂²	semidirect
198. C₂×C₄⋊C₈×C₈₉	C₂²	semidirect
201. #405×C₈₉	C₂²	semidirect
202. #405×C₈₉	C₂²	semidirect
845. #60998	C₈₉	direct (N × H)
857. #3510	C₂×C₈₉	semidirect
858. #3460	C₂×C₈₉	semidirect
859. #3256	C₂×C₈₉	semidirect
860. #3251	C₂×C₈₉	semidirect
861. #3250	C₂×C₈₉	semidirect
862. #3247	C₂×C₈₉	semidirect
863. #3244	C₂×C₈₉	semidirect
864. #3243	C₂×C₈₉	semidirect
865. #3240	C₂×C₈₉	semidirect
866. #3228	C₂×C₈₉	semidirect
867. #3224	C₂×C₈₉	semidirect
868. #3224	C₂×C₈₉	semidirect
869. #3213	C₂×C₈₉	semidirect
870. #3211	C₂×C₈₉	semidirect
871. #3201	C₂×C₈₉	semidirect
872. #3200	C₂×C₈₉	semidirect
873. #3199	C₂×C₈₉	semidirect
874. #3198	C₂×C₈₉	semidirect
875. #3179	C₂×C₈₉	semidirect
876. #3179	C₂×C₈₉	semidirect
877. #3175	C₂×C₈₉	semidirect
878. #3173	C₂×C₈₉	semidirect
879. #3126	C₂×C₈₉	semidirect
880. #3122	C₂×C₈₉	semidirect
881. #3121	C₂×C₈₉	semidirect
882. #3118	C₂×C₈₉	semidirect
883. #3114	C₂×C₈₉	semidirect
884. #3111	C₂×C₈₉	semidirect
885. #3105	C₂×C₈₉	semidirect
886. #3102	C₂×C₈₉	semidirect
887. #2925	C₂×C₈₉	semidirect
888. C₈₉	#60998	direct (N × H)
897. #544	C₂²×C₈₉	semidirect
902. #542	C₂²×C₈₉	semidirect
903. #542	C₂²×C₈₉	semidirect
904. #542	C₂²×C₈₉	semidirect
907. #540	C₂²×C₈₉	semidirect
914. #535	C₂²×C₈₉	semidirect
915. #533	C₂²×C₈₉	semidirect
918. #532	C₂²×C₈₉	semidirect
923. #529	C₂²×C₈₉	semidirect
924. #529	C₂²×C₈₉	semidirect
925. #529	C₂²×C₈₉	semidirect
926. C₂×#124	C₂²×C₈₉	semidirect
929. #519	C₂²×C₈₉	semidirect
930. #518	C₂²×C₈₉	semidirect
932. C₄×#41	C₂²×C₈₉	semidirect
933. C₂×C₄×D₄	C₂²×C₈₉	semidirect
934. #501	C₂²×C₈₉	semidirect
935. #501	C₂²×C₈₉	semidirect
936. #500	C₂²×C₈₉	semidirect
937. #498	C₂²×C₈₉	semidirect
942. #489	C₂²×C₈₉	semidirect
943. #489	C₂²×C₈₉	semidirect
944. #489	C₂²×C₈₉	semidirect
945. #489	C₂²×C₈₉	semidirect
946. #488	C₂²×C₈₉	semidirect
947. #488	C₂²×C₈₉	semidirect
948. #486	C₂²×C₈₉	semidirect
949. #486	C₂²×C₈₉	semidirect
950. #485	C₂²×C₈₉	semidirect
951. #485	C₂²×C₈₉	semidirect
952. #485	C₂²×C₈₉	semidirect
953. #485	C₂²×C₈₉	semidirect
954. #484	C₂²×C₈₉	semidirect
955. #483	C₂²×C₈₉	semidirect
962. #482	C₂²×C₈₉	semidirect
963. #482	C₂²×C₈₉	semidirect
966. #479	C₂²×C₈₉	semidirect
967. #479	C₂²×C₈₉	semidirect
968. #479	C₂²×C₈₉	semidirect
969. #479	C₂²×C₈₉	semidirect
970. #478	C₂²×C₈₉	semidirect
971. #478	C₂²×C₈₉	semidirect
972. #478	C₂²×C₈₉	semidirect
973. #478	C₂²×C₈₉	semidirect
974. #478	C₂²×C₈₉	semidirect
975. #478	C₂²×C₈₉	semidirect
976. #478	C₂²×C₈₉	semidirect
977. #478	C₂²×C₈₉	semidirect
978. #477	C₂²×C₈₉	semidirect
979. #476	C₂²×C₈₉	semidirect
980. #475	C₂²×C₈₉	semidirect
981. #474	C₂²×C₈₉	semidirect
982. #470	C₂²×C₈₉	semidirect
985. #469	C₂²×C₈₉	semidirect
986. #468	C₂²×C₈₉	semidirect
987. #468	C₂²×C₈₉	semidirect
988. #468	C₂²×C₈₉	semidirect
989. #468	C₂²×C₈₉	semidirect
990. #467	C₂²×C₈₉	semidirect
993. #466	C₂²×C₈₉	semidirect
994. #465	C₂²×C₈₉	semidirect
995. #465	C₂²×C₈₉	semidirect
996. #465	C₂²×C₈₉	semidirect
997. #465	C₂²×C₈₉	semidirect
998. #464	C₂²×C₈₉	semidirect
999. #464	C₂²×C₈₉	semidirect
1000. #464	C₂²×C₈₉	semidirect
1001. #464	C₂²×C₈₉	semidirect
1008. #463	C₂²×C₈₉	semidirect
1009. #463	C₂²×C₈₉	semidirect
1010. #460	C₂²×C₈₉	semidirect
1011. #460	C₂²×C₈₉	semidirect
1014. #452	C₂²×C₈₉	semidirect
1015. #452	C₂²×C₈₉	semidirect
1016. #451	C₂²×C₈₉	semidirect
1017. #450	C₂²×C₈₉	semidirect
1018. #450	C₂²×C₈₉	semidirect
1019. #450	C₂²×C₈₉	semidirect
1024. #448	C₂²×C₈₉	semidirect
1029. #447	C₂²×C₈₉	semidirect
1032. #442	C₂²×C₈₉	semidirect
1033. #441	C₂²×C₈₉	semidirect
1034. #440	C₂²×C₈₉	semidirect
1035. #440	C₂²×C₈₉	semidirect
1036. #440	C₂²×C₈₉	semidirect
1037. #440	C₂²×C₈₉	semidirect
1038. C₄×Q₁₆	C₂²×C₈₉	semidirect
1039. C₄×SD₁₆	C₂²×C₈₉	semidirect
1040. C₄×SD₁₆	C₂²×C₈₉	semidirect
1041. C₄×SD₁₆	C₂²×C₈₉	semidirect
1042. C₄×SD₁₆	C₂²×C₈₉	semidirect
1045. C₄×D₈	C₂²×C₈₉	semidirect
1046. #433	C₂²×C₈₉	semidirect
1047. #433	C₂²×C₈₉	semidirect
1048. #433	C₂²×C₈₉	semidirect
1049. #433	C₂²×C₈₉	semidirect
1050. #432	C₂²×C₈₉	semidirect
1051. #432	C₂²×C₈₉	semidirect
1052. #431	C₂²×C₈₉	semidirect
1053. #431	C₂²×C₈₉	semidirect
1054. #423	C₂²×C₈₉	semidirect
1055. C₂×C₄⋊C₈	C₂²×C₈₉	semidirect
1058. #405	C₂²×C₈₉	semidirect
1059. #405	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×#3510	2
C₈₉×#3460	2
C₈₉×#3256	2
C₈₉×#3251	2
C₈₉×#3250	2
C₈₉×#3247	2
C₈₉×#3244	2
C₈₉×#3243	2
C₈₉×#3240	2
C₈₉×#3228	2
C₈₉×#3224	2
C₈₉×#3213	2
C₈₉×#3211	2
C₈₉×#3201	2
C₈₉×#3200	2
C₈₉×#3199	2
C₈₉×#3198	2
C₈₉×#3179	2
C₈₉×#3175	2
C₈₉×#3173	2
C₈₉×#3126	2
C₈₉×#3122	2
C₈₉×#3121	2
C₈₉×#3118	2
C₈₉×#3114	2
C₈₉×#3111	2
C₈₉×#3105	2
C₈₉×#3102	2
C₈₉×#2925	2
#60998	89

Subgroups — C89×#60998 #36438846

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#60998 #36438846