Subgroups — C₈₉×#62870 #36440718

Order 22784.

6730 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3567	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3566	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3562	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3553	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3551	C₂	1	4	yes	maximal, complemented
6	C₈₉×#3543	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3542	C₂	1	4	yes	maximal, complemented
8	C₈₉×#3539	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3537	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3536	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3535	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3534	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3534	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3534	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3534	C₂	1	4	yes	maximal, complemented
16	C₈₉×#3533	C₂	1	4	yes	maximal, complemented
17	C₈₉×#3519	C₂	1	4	yes	maximal, complemented
18	C₈₉×#3513	C₂	1	4	yes	maximal, complemented
19	C₈₉×#3505	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3493	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3491	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3459	C₂	1	2	yes	maximal, complemented
23	C₂×#540×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#564×C₈₉	C₂²	1	2	yes	complemented
25	#563×C₈₉	C₂²	1	2	yes	complemented
26	#563×C₈₉	C₂²	1	4	yes	complemented
27	#563×C₈₉	C₂²	1	2	yes	complemented
28	#562×C₈₉	C₂²	1	4	yes	complemented
29	#562×C₈₉	C₂²	1	4	yes	complemented
30	#562×C₈₉	C₂²	1	4	yes	complemented
31	#562×C₈₉	C₂²	1	4	yes	complemented
32	#562×C₈₉	C₂²	1	4	yes	complemented
33	#562×C₈₉	C₂²	1	4	yes	complemented
34	#562×C₈₉	C₂²	1	2	yes	complemented
35	#560×C₈₉	C₂²	1	4	yes	complemented
36	#560×C₈₉	C₂²	1	4	yes	complemented
37	#560×C₈₉	C₂²	1	4	yes	complemented
38	#560×C₈₉	C₂²	1	4	yes	complemented
39	#560×C₈₉	C₂²	1	4	yes	complemented
40	#560×C₈₉	C₂²	1	4	yes	complemented
41	#560×C₈₉	C₂²	1	4	yes	complemented
42	#559×C₈₉	C₂²	1	4	yes	complemented
43	#559×C₈₉	C₂²	1	2	yes	complemented
44	#556×C₈₉	C₂²	1	4	yes	complemented
45	#555×C₈₉	C₂²	1	4	yes	complemented
46	#555×C₈₉	C₂²	1	4	yes	complemented
47	#554×C₈₉	C₂²	1	4	yes	complemented
48	#554×C₈₉	C₂²	1	4	yes	complemented
49	#553×C₈₉	C₂²	1	4	yes	complemented
50	#553×C₈₉	C₂²	1	2	yes	complemented
51	#553×C₈₉	C₂²	1	2	yes	complemented
52	#553×C₈₉	C₂²	1	4	yes	complemented
53	#553×C₈₉	C₂²	1	4	yes	complemented
54	#553×C₈₉	C₂²	1	4	yes	complemented
55	#553×C₈₉	C₂²	1	4	yes	complemented
56	#553×C₈₉	C₂²	1	4	yes	complemented
57	#553×C₈₉	C₂²	1	4	yes	complemented
58	#553×C₈₉	C₂²	1	4	yes	complemented
59	#553×C₈₉	C₂²	1	4	yes	complemented
60	#553×C₈₉	C₂²	1	4	yes	complemented
61	#553×C₈₉	C₂²	1	4	yes	complemented
62	#553×C₈₉	C₂²	1	4	yes	complemented
63	#553×C₈₉	C₂²	1	4	yes	complemented
64	#552×C₈₉	C₂²	1	4	yes	complemented
65	#552×C₈₉	C₂²	1	4	yes	complemented
66	#552×C₈₉	C₂²	1	4	yes	complemented
67	#552×C₈₉	C₂²	1	2	yes	complemented
68	#552×C₈₉	C₂²	1	2	yes	complemented
69	#552×C₈₉	C₂²	1	4	yes	complemented
70	#552×C₈₉	C₂²	1	4	yes	complemented
71	#552×C₈₉	C₂²	1	4	yes	complemented
72	#552×C₈₉	C₂²	1	4	yes	complemented
73	#551×C₈₉	C₂²	1	4	yes	complemented
74	#551×C₈₉	C₂²	1	4	yes	complemented
75	#551×C₈₉	C₂²	1	4	yes	complemented
76	#551×C₈₉	C₂²	1	4	yes	complemented
77	#551×C₈₉	C₂²	1	4	yes	complemented
78	#551×C₈₉	C₂²	1	4	yes	complemented
79	#551×C₈₉	C₂²	1	4	yes	complemented
80	#551×C₈₉	C₂²	1	4	yes	complemented
81	#551×C₈₉	C₂²	1	4	yes	complemented
82	#550×C₈₉	C₂²	1	4	yes	complemented
83	#550×C₈₉	C₂²	1	2	yes	complemented
84	#550×C₈₉	C₂²	1	2	yes	complemented
85	#548×C₈₉	C₂²	1	2	yes	complemented
86	#548×C₈₉	C₂²	1	2	yes	complemented
87	#548×C₈₉	C₂²	1	4	yes	complemented
88	#547×C₈₉	C₂²	1	4	yes	complemented
89	#547×C₈₉	C₂²	1	4	yes	complemented
90	#547×C₈₉	C₂²	1	4	yes	complemented
91	#546×C₈₉	C₂²	1	2	yes	complemented
92	#546×C₈₉	C₂²	1	2	yes	complemented
93	#546×C₈₉	C₂²	1	4	yes	complemented
94	#546×C₈₉	C₂²	1	4	yes	complemented
95	#546×C₈₉	C₂²	1	4	yes	complemented
96	#546×C₈₉	C₂²	1	4	yes	complemented
97	#546×C₈₉	C₂²	1	4	yes	complemented
98	#546×C₈₉	C₂²	1	4	yes	complemented
99	#546×C₈₉	C₂²	1	4	yes	complemented
100	#546×C₈₉	C₂²	1	4	yes	complemented
101	#546×C₈₉	C₂²	1	4	yes	complemented
102	#546×C₈₉	C₂²	1	4	yes	complemented
103	#546×C₈₉	C₂²	1	4	yes	complemented
104	#546×C₈₉	C₂²	1	4	yes	complemented
105	#546×C₈₉	C₂²	1	4	yes	complemented
106	D₄²×C₈₉	C₂²	1	4	yes	complemented
107	D₄²×C₈₉	C₂²	1	4	yes	complemented
108	D₄²×C₈₉	C₂²	1	4	yes	complemented
109	D₄²×C₈₉	C₂²	1	4	yes	complemented
110	D₄²×C₈₉	C₂²	1	2	yes	complemented
111	D₄²×C₈₉	C₂²	1	4	yes	complemented
112	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#543×C₈₉	C₂²	1	2	yes	complemented
114	#543×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#542×C₈₉	C₂²	1	4	yes	complemented
116	#542×C₈₉	C₂²	1	4	yes	complemented
117	#542×C₈₉	C₂²	1	4	yes	complemented
118	#541×C₈₉	C₂²	1	4	yes	complemented
119	#541×C₈₉	C₂²	1	4	yes	complemented
120	#540×C₈₉	C₂²	1	4	yes	complemented
121	#540×C₈₉	C₂²	1	4	yes	complemented
122	#540×C₈₉	C₂²	1	4	yes	complemented
123	#540×C₈₉	C₂²	1	4	yes	complemented
124	#540×C₈₉	C₂²	1	4	yes	complemented
125	#540×C₈₉	C₂²	1	4	yes	complemented
126	#540×C₈₉	C₂²	1	4	yes	complemented
127	#540×C₈₉	C₂²	1	4	yes	complemented
128	#540×C₈₉	C₂²	1	4	yes	complemented
129	#540×C₈₉	C₂²	1	4	yes	complemented
130	#540×C₈₉	C₂²	1	4	yes	complemented
131	#540×C₈₉	C₂²	1	4	yes	complemented
132	#540×C₈₉	C₂²	1	4	yes	complemented
133	#539×C₈₉	C₂²	1	4	yes	complemented
134	#539×C₈₉	C₂²	1	4	yes	complemented
135	#539×C₈₉	C₂²	1	4	yes	complemented
136	#539×C₈₉	C₂²	1	2	yes	complemented
137	#539×C₈₉	C₂²	1	2	yes	complemented
138	#539×C₈₉	C₂²	1	4	yes	complemented
139	#539×C₈₉	C₂²	1	4	yes	complemented
140	#539×C₈₉	C₂²	1	4	yes	complemented
141	#539×C₈₉	C₂²	1	4	yes	complemented
142	#539×C₈₉	C₂²	1	4	yes	complemented
143	#539×C₈₉	C₂²	1	4	yes	complemented
144	#539×C₈₉	C₂²	1	2	yes	complemented
145	#539×C₈₉	C₂²	1	4	yes	complemented
146	#539×C₈₉	C₂²	1	2	yes	complemented
147	#539×C₈₉	C₂²	1	4	yes	complemented
148	#538×C₈₉	C₂²	1	2	yes	complemented
149	#538×C₈₉	C₂²	1	4	yes	complemented
150	#538×C₈₉	C₂²	1	2	yes	complemented
151	#538×C₈₉	C₂²	1	4	yes	complemented
152	#538×C₈₉	C₂²	1	2	yes	complemented
153	#538×C₈₉	C₂²	1	2	yes	complemented
154	#538×C₈₉	C₂²	1	4	yes	complemented
155	#538×C₈₉	C₂²	1	4	yes	complemented
156	#538×C₈₉	C₂²	1	4	yes	complemented
157	#538×C₈₉	C₂²	1	4	yes	complemented
158	#538×C₈₉	C₂²	1	2	yes	complemented
159	#538×C₈₉	C₂²	1	4	yes	complemented
160	#538×C₈₉	C₂²	1	4	yes	complemented
161	#538×C₈₉	C₂²	1	4	yes	complemented
162	#538×C₈₉	C₂²	1	2	yes	complemented
163	#538×C₈₉	C₂²	1	4	yes	complemented
164	#537×C₈₉	C₂²	1	1	yes	characteristic, complemented
165	#537×C₈₉	C₂²	1	4	yes	complemented
166	#537×C₈₉	C₂²	1	2	yes	complemented
167	#537×C₈₉	C₂²	1	2	yes	complemented
168	#537×C₈₉	C₂²	1	4	yes	complemented
169	#536×C₈₉	C₂²	1	4	yes	complemented
170	#535×C₈₉	C₂²	1	4	yes	complemented
171	#535×C₈₉	C₂²	1	4	yes	complemented
172	#535×C₈₉	C₂²	1	4	yes	complemented
173	#534×C₈₉	C₂²	1	1	yes	characteristic
174	#534×C₈₉	C₂²	1	2	yes	complemented
175	#534×C₈₉	C₂²	1	4	yes	complemented
176	#534×C₈₉	C₂²	1	4	yes	complemented
177	#534×C₈₉	C₂²	1	4	yes	complemented
178	#534×C₈₉	C₂²	1	2	yes	complemented
179	#534×C₈₉	C₂²	1	4	yes	complemented
180	#534×C₈₉	C₂²	1	2	yes	complemented
181	#532×C₈₉	C₂²	1	4	yes	complemented
182	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#529×C₈₉	C₂²	1	2	yes	complemented
184	#529×C₈₉	C₂²	1	2	yes	complemented
185	#529×C₈₉	C₂²	1	4	yes	complemented
186	#529×C₈₉	C₂²	1	4	yes	complemented
187	#529×C₈₉	C₂²	1	2	yes	complemented
188	#529×C₈₉	C₂²	1	2	yes	complemented
189	#529×C₈₉	C₂²	1	4	yes	complemented
190	#529×C₈₉	C₂²	1	4	yes	complemented
191	#529×C₈₉	C₂²	1	4	yes	complemented
192	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	#525×C₈₉	C₂²	1	4	yes	complemented
194	#525×C₈₉	C₂²	1	4	yes	complemented
195	#525×C₈₉	C₂²	1	4	yes	complemented
196	#525×C₈₉	C₂²	1	2	yes	complemented
197	#525×C₈₉	C₂²	1	2	yes	complemented
198	#525×C₈₉	C₂²	1	2	yes	complemented
199	#525×C₈₉	C₂²	1	4	yes	complemented
200	#525×C₈₉	C₂²	1	4	yes	complemented
201	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
202	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
203	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
204	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
205	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
206	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
207	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
208	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
209	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
210	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
211	C₂×#121×C₈₉	C₂²	1	4	yes	complemented
212	#520×C₈₉	C₂²	1	2	yes	complemented
213	#518×C₈₉	C₂²	1	2	yes	complemented
214	#518×C₈₉	C₂²	1	4	yes	complemented
215	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₄×C₈₉	C₂²	1	4	yes	complemented
218	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
219	C₂×#41×C₈₉	C₂³	1	2	yes	—
220	C₂×#41×C₈₉	C₂³	1	4	yes	—
221	C₂×#41×C₈₉	C₂³	1	2	yes	—
222	C₂×#41×C₈₉	C₂³	1	4	yes	—
223	C₂×#41×C₈₉	C₂³	1	2	yes	—
224	C₂×#41×C₈₉	C₂³	1	4	yes	—
225	C₂×#41×C₈₉	C₂³	1	4	yes	—
226	C₂×#41×C₈₉	C₂³	1	4	yes	—
227	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
228	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
229	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
231	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
232	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
233	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
234	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
235	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
236	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
237	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
238	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
239	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
240	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
241	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
242	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
243	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
244	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
245	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
246	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
247	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
248	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
249	#127×C₈₉	C₂³	1	4	yes	—
250	#127×C₈₉	C₂³	1	2	yes	—
251	#127×C₈₉	C₂³	1	2	yes	—
252	#127×C₈₉	C₂³	1	4	yes	—
253	#127×C₈₉	C₂³	1	4	yes	—
254	#127×C₈₉	C₂³	1	4	yes	—
255	#127×C₈₉	C₂³	1	4	yes	—
256	#126×C₈₉	C₂³	1	4	yes	—
257	#126×C₈₉	C₂³	1	4	yes	—
258	#126×C₈₉	C₂³	1	4	yes	—
259	#126×C₈₉	C₂³	1	4	yes	—
260	#126×C₈₉	C₂³	1	4	yes	—
261	#126×C₈₉	C₂³	1	4	yes	—
262	#126×C₈₉	C₂³	1	4	yes	—
263	#126×C₈₉	C₂³	1	4	yes	—
264	#126×C₈₉	C₂³	1	4	yes	—
265	#126×C₈₉	C₂³	1	4	yes	—
266	#126×C₈₉	C₂³	1	4	yes	—
267	#126×C₈₉	C₂³	1	4	yes	—
268	#126×C₈₉	C₂³	1	4	yes	—
269	#126×C₈₉	C₂³	1	4	yes	—
270	#126×C₈₉	C₂³	1	4	yes	—
271	#126×C₈₉	C₂³	1	4	yes	—
272	#126×C₈₉	C₂³	1	4	yes	—
273	#126×C₈₉	C₂³	1	4	yes	—
274	#126×C₈₉	C₂³	1	4	yes	—
275	#126×C₈₉	C₂³	1	4	yes	—
276	#126×C₈₉	C₂³	1	4	yes	—
277	#126×C₈₉	C₂³	1	4	yes	—
278	#126×C₈₉	C₂³	1	4	yes	—
279	#126×C₈₉	C₂³	1	4	yes	—
280	#125×C₈₉	C₂³	1	4	yes	—
281	#125×C₈₉	C₂³	1	2	yes	—
282	#125×C₈₉	C₂³	1	2	yes	—
283	#125×C₈₉	C₂³	1	4	yes	—
284	#125×C₈₉	C₂³	1	4	yes	—
285	#125×C₈₉	C₂³	1	2	yes	—
286	#125×C₈₉	C₂³	1	2	yes	—
287	#125×C₈₉	C₂³	1	4	yes	—
288	#125×C₈₉	C₂³	1	4	yes	—
289	#125×C₈₉	C₂³	1	4	yes	—
290	#125×C₈₉	C₂³	1	2	yes	—
291	#125×C₈₉	C₂³	1	2	yes	—
292	#125×C₈₉	C₂³	1	4	yes	—
293	#125×C₈₉	C₂³	1	4	yes	—
294	#125×C₈₉	C₂³	1	4	yes	—
295	#125×C₈₉	C₂³	1	4	yes	—
296	#125×C₈₉	C₂³	1	4	yes	—
297	#125×C₈₉	C₂³	1	4	yes	—
298	#125×C₈₉	C₂³	1	4	yes	—
299	#125×C₈₉	C₂³	1	4	yes	—
300	#124×C₈₉	C₂³	1	2	yes	—
301	#124×C₈₉	C₂³	1	2	yes	—
302	#124×C₈₉	C₂³	1	4	yes	—
303	#124×C₈₉	C₂³	1	2	yes	—
304	#124×C₈₉	C₂³	1	4	yes	—
305	#124×C₈₉	C₂³	1	2	yes	—
306	#124×C₈₉	C₂³	1	4	yes	—
307	#124×C₈₉	C₂³	1	4	yes	—
308	#124×C₈₉	C₂³	1	4	yes	—
309	#124×C₈₉	C₂³	1	4	yes	—
310	#124×C₈₉	C₂³	1	4	yes	—
311	#124×C₈₉	C₂³	1	4	yes	—
312	#124×C₈₉	C₂³	1	4	yes	—
313	#124×C₈₉	C₂³	1	4	yes	—
314	#124×C₈₉	C₂³	1	4	yes	—
315	#124×C₈₉	C₂³	1	4	yes	—
316	#124×C₈₉	C₂³	1	4	yes	—
317	#124×C₈₉	C₂³	1	4	yes	—
318	#123×C₈₉	C₂³	1	4	yes	—
319	#123×C₈₉	C₂³	1	4	yes	—
320	#123×C₈₉	C₂³	1	4	yes	—
321	#123×C₈₉	C₂³	1	4	yes	—
322	#123×C₈₉	C₂³	1	4	yes	—
323	#123×C₈₉	C₂³	1	4	yes	—
324	#123×C₈₉	C₂³	1	4	yes	—
325	#123×C₈₉	C₂³	1	4	yes	—
326	#123×C₈₉	C₂³	1	4	yes	—
327	#123×C₈₉	C₂³	1	4	yes	—
328	#123×C₈₉	C₂³	1	4	yes	—
329	#123×C₈₉	C₂³	1	4	yes	—
330	#123×C₈₉	C₂³	1	4	yes	—
331	#123×C₈₉	C₂³	1	4	yes	—
332	#123×C₈₉	C₂³	1	4	yes	—
333	#123×C₈₉	C₂³	1	4	yes	—
334	#123×C₈₉	C₂³	1	4	yes	—
335	#123×C₈₉	C₂³	1	4	yes	—
336	#123×C₈₉	C₂³	1	4	yes	—
337	#123×C₈₉	C₂³	1	4	yes	—
338	#123×C₈₉	C₂³	1	4	yes	—
339	#123×C₈₉	C₂³	1	4	yes	—
340	#123×C₈₉	C₂³	1	4	yes	—
341	#123×C₈₉	C₂³	1	4	yes	—
342	#123×C₈₉	C₂³	1	4	yes	—
343	#123×C₈₉	C₂³	1	4	yes	—
344	#123×C₈₉	C₂³	1	4	yes	—
345	#123×C₈₉	C₂³	1	4	yes	—
346	#123×C₈₉	C₂³	1	4	yes	—
347	#123×C₈₉	C₂³	1	4	yes	—
348	#123×C₈₉	C₂³	1	4	yes	—
349	#123×C₈₉	C₂³	1	4	yes	—
350	#123×C₈₉	C₂³	1	4	yes	—
351	#123×C₈₉	C₂³	1	4	yes	—
352	#123×C₈₉	C₂³	1	4	yes	—
353	#123×C₈₉	C₂³	1	4	yes	—
354	#123×C₈₉	C₂³	1	4	yes	—
355	#123×C₈₉	C₂³	1	4	yes	—
356	#123×C₈₉	C₂³	1	4	yes	—
357	#123×C₈₉	C₂³	1	4	yes	—
358	#123×C₈₉	C₂³	1	4	yes	—
359	#123×C₈₉	C₂³	1	4	yes	—
360	#123×C₈₉	C₂³	1	4	yes	—
361	#123×C₈₉	C₂³	1	4	yes	—
362	#123×C₈₉	C₂³	1	4	yes	—
363	#123×C₈₉	C₂³	1	4	yes	—
364	#123×C₈₉	C₂³	1	4	yes	—
365	#123×C₈₉	C₂³	1	4	yes	—
366	#123×C₈₉	C₂³	1	4	yes	—
367	#123×C₈₉	C₂³	1	4	yes	—
368	#123×C₈₉	C₂³	1	4	yes	—
369	#123×C₈₉	C₂³	1	4	yes	—
370	#123×C₈₉	C₂³	1	4	yes	—
371	#123×C₈₉	C₂³	1	4	yes	—
372	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
373	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
374	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
375	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
376	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
377	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
378	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
379	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
380	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
381	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
382	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
383	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
384	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
385	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
386	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
387	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
388	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
389	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
390	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
391	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
392	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
393	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
394	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
395	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
396	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
397	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
398	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
399	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
400	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
401	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
402	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
403	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
404	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
405	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
406	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
407	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
408	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
409	#121×C₈₉	C₂³	1	4	yes	—
410	#121×C₈₉	C₂³	1	2	yes	—
411	#121×C₈₉	C₂³	1	2	yes	—
412	#121×C₈₉	C₂³	1	4	yes	—
413	#121×C₈₉	C₂³	1	4	yes	—
414	#121×C₈₉	C₂³	1	4	yes	—
415	#121×C₈₉	C₂³	1	2	yes	—
416	#121×C₈₉	C₂³	1	2	yes	—
417	#121×C₈₉	C₂³	1	4	yes	—
418	#121×C₈₉	C₂³	1	4	yes	—
419	#121×C₈₉	C₂³	1	4	yes	—
420	#121×C₈₉	C₂³	1	4	yes	—
421	#121×C₈₉	C₂³	1	2	yes	—
422	#121×C₈₉	C₂³	1	2	yes	—
423	#121×C₈₉	C₂³	1	4	yes	—
424	#121×C₈₉	C₂³	1	4	yes	—
425	#121×C₈₉	C₂³	1	2	yes	—
426	#121×C₈₉	C₂³	1	4	yes	—
427	#121×C₈₉	C₂³	1	4	yes	—
428	#121×C₈₉	C₂³	1	4	yes	—
429	#121×C₈₉	C₂³	1	4	yes	—
430	#121×C₈₉	C₂³	1	4	yes	—
431	#121×C₈₉	C₂³	1	4	yes	—
432	#121×C₈₉	C₂³	1	4	yes	—
433	#121×C₈₉	C₂³	1	4	yes	—
434	#121×C₈₉	C₂³	1	4	yes	—
435	#121×C₈₉	C₂³	1	2	yes	—
436	#121×C₈₉	C₂³	1	2	yes	—
437	#121×C₈₉	C₂³	1	4	yes	—
438	#121×C₈₉	C₂³	1	4	yes	—
439	#121×C₈₉	C₂³	1	2	yes	—
440	#121×C₈₉	C₂³	1	2	yes	—
441	#121×C₈₉	C₂³	1	4	yes	—
442	#121×C₈₉	C₂³	1	4	yes	—
443	#121×C₈₉	C₂³	1	2	yes	—
444	#121×C₈₉	C₂³	1	4	yes	—
445	#121×C₈₉	C₂³	1	4	yes	—
446	#121×C₈₉	C₂³	1	4	yes	—
447	#121×C₈₉	C₂³	1	4	yes	—
448	#121×C₈₉	C₂³	1	2	yes	—
449	#121×C₈₉	C₂³	1	4	yes	—
450	#121×C₈₉	C₂³	1	4	yes	—
451	#121×C₈₉	C₂³	1	4	yes	—
452	#121×C₈₉	C₂³	1	2	yes	—
453	#121×C₈₉	C₂³	1	4	yes	—
454	#121×C₈₉	C₂³	1	4	yes	—
455	#121×C₈₉	C₂³	1	4	yes	—
456	#121×C₈₉	C₂³	1	4	yes	—
457	#121×C₈₉	C₂³	1	4	yes	—
458	#121×C₈₉	C₂³	1	4	yes	—
459	#121×C₈₉	C₂³	1	4	yes	—
460	#121×C₈₉	C₂³	1	4	yes	—
461	#121×C₈₉	C₂³	1	4	yes	—
462	#121×C₈₉	C₂³	1	4	yes	—
463	#121×C₈₉	C₂³	1	4	yes	—
464	#121×C₈₉	C₂³	1	4	yes	—
465	#121×C₈₉	C₂³	1	4	yes	—
466	#121×C₈₉	C₂³	1	4	yes	—
467	#121×C₈₉	C₂³	1	4	yes	—
468	#121×C₈₉	C₂³	1	4	yes	—
469	#121×C₈₉	C₂³	1	4	yes	—
470	#121×C₈₉	C₂³	1	4	yes	—
471	#121×C₈₉	C₂³	1	4	yes	—
472	#121×C₈₉	C₂³	1	4	yes	—
473	#121×C₈₉	C₂³	1	4	yes	—
474	#121×C₈₉	C₂³	1	4	yes	—
475	#121×C₈₉	C₂³	1	4	yes	—
476	#121×C₈₉	C₂³	1	4	yes	—
477	#121×C₈₉	C₂³	1	4	yes	—
478	#121×C₈₉	C₂³	1	4	yes	—
479	#121×C₈₉	C₂³	1	4	yes	—
480	#121×C₈₉	C₂³	1	4	yes	—
481	#121×C₈₉	C₂³	1	4	yes	—
482	#120×C₈₉	C₂³	1	4	yes	—
483	#120×C₈₉	C₂³	1	4	yes	—
484	#120×C₈₉	C₂³	1	4	yes	—
485	#120×C₈₉	C₂³	1	4	yes	—
486	#120×C₈₉	C₂³	1	4	yes	—
487	#120×C₈₉	C₂³	1	4	yes	—
488	#120×C₈₉	C₂³	1	4	yes	—
489	#120×C₈₉	C₂³	1	4	yes	—
490	#120×C₈₉	C₂³	1	4	yes	—
491	#120×C₈₉	C₂³	1	4	yes	—
492	#120×C₈₉	C₂³	1	4	yes	—
493	#120×C₈₉	C₂³	1	4	yes	—
494	#120×C₈₉	C₂³	1	4	yes	—
495	#120×C₈₉	C₂³	1	4	yes	—
496	#120×C₈₉	C₂³	1	4	yes	—
497	#120×C₈₉	C₂³	1	4	yes	—
498	#120×C₈₉	C₂³	1	4	yes	—
499	#120×C₈₉	C₂³	1	4	yes	—
500	#120×C₈₉	C₂³	1	4	yes	—
501	#120×C₈₉	C₂³	1	4	yes	—
502	#120×C₈₉	C₂³	1	4	yes	—
503	#120×C₈₉	C₂³	1	4	yes	—
504	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
505	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
506	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
507	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
508	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
509	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
510	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
511	C₄×D₄×C₈₉	C₂³	1	4	yes	—
512	C₄×D₄×C₈₉	C₂³	1	4	yes	—
513	C₄×D₄×C₈₉	C₂³	1	4	yes	—
514	C₄×D₄×C₈₉	C₂³	1	4	yes	—
515	C₄×D₄×C₈₉	C₂³	1	4	yes	—
516	C₄×D₄×C₈₉	C₂³	1	4	yes	—
517	C₄×D₄×C₈₉	C₂³	1	4	yes	—
518	C₄×D₄×C₈₉	C₂³	1	4	yes	—
519	C₄×D₄×C₈₉	C₂³	1	4	yes	—
520	C₄×D₄×C₈₉	C₂³	1	4	yes	—
521	C₄×D₄×C₈₉	C₂³	1	2	yes	—
522	C₄×D₄×C₈₉	C₂³	1	2	yes	—
523	C₄×D₄×C₈₉	C₂³	1	2	yes	—
524	C₄×D₄×C₈₉	C₂³	1	2	yes	—
525	C₄×D₄×C₈₉	C₂³	1	4	yes	—
526	C₄×D₄×C₈₉	C₂³	1	4	yes	—
527	C₄×D₄×C₈₉	C₂³	1	4	yes	—
528	C₄×D₄×C₈₉	C₂³	1	4	yes	—
529	C₄×D₄×C₈₉	C₂³	1	4	yes	—
530	C₄×D₄×C₈₉	C₂³	1	4	yes	—
531	C₄×D₄×C₈₉	C₂³	1	4	yes	—
532	C₄×D₄×C₈₉	C₂³	1	4	yes	—
533	C₄×D₄×C₈₉	C₂³	1	4	yes	—
534	C₄×D₄×C₈₉	C₂³	1	4	yes	—
535	C₄×D₄×C₈₉	C₂³	1	4	yes	—
536	C₄×D₄×C₈₉	C₂³	1	2	yes	—
537	C₄×D₄×C₈₉	C₂³	1	4	yes	—
538	C₄×D₄×C₈₉	C₂³	1	4	yes	—
539	C₄×D₄×C₈₉	C₂³	1	2	yes	—
540	C₄×D₄×C₈₉	C₂³	1	4	yes	—
541	C₄×D₄×C₈₉	C₂³	1	4	yes	—
542	C₄×D₄×C₈₉	C₂³	1	4	yes	—
543	C₄×D₄×C₈₉	C₂³	1	4	yes	—
544	C₄×D₄×C₈₉	C₂³	1	4	yes	—
545	C₄×D₄×C₈₉	C₂³	1	4	yes	—
546	C₄×D₄×C₈₉	C₂³	1	4	yes	—
547	C₄×D₄×C₈₉	C₂³	1	4	yes	—
548	C₄×D₄×C₈₉	C₂³	1	4	yes	—
549	C₄×D₄×C₈₉	C₂³	1	4	yes	—
550	C₄×D₄×C₈₉	C₂³	1	4	yes	—
551	C₄×D₄×C₈₉	C₂³	1	4	yes	—
552	C₄×D₄×C₈₉	C₂³	1	2	yes	—
553	C₄×D₄×C₈₉	C₂³	1	2	yes	—
554	C₄×D₄×C₈₉	C₂³	1	4	yes	—
555	C₄×D₄×C₈₉	C₂³	1	4	yes	—
556	C₄×D₄×C₈₉	C₂³	1	4	yes	—
557	C₄×D₄×C₈₉	C₂³	1	4	yes	—
558	C₄×D₄×C₈₉	C₂³	1	4	yes	—
559	C₄×D₄×C₈₉	C₂³	1	4	yes	—
560	#117×C₈₉	C₂³	1	4	yes	—
561	#117×C₈₉	C₂³	1	4	yes	—
562	#117×C₈₉	C₂³	1	4	yes	—
563	#117×C₈₉	C₂³	1	4	yes	—
564	#117×C₈₉	C₂³	1	4	yes	—
565	#117×C₈₉	C₂³	1	2	yes	—
566	#117×C₈₉	C₂³	1	4	yes	—
567	#117×C₈₉	C₂³	1	4	yes	—
568	#117×C₈₉	C₂³	1	4	yes	—
569	#117×C₈₉	C₂³	1	4	yes	—
570	#117×C₈₉	C₂³	1	2	yes	—
571	#117×C₈₉	C₂³	1	4	yes	—
572	#117×C₈₉	C₂³	1	4	yes	—
573	#117×C₈₉	C₂³	1	2	yes	—
574	#117×C₈₉	C₂³	1	4	yes	—
575	#117×C₈₉	C₂³	1	4	yes	—
576	#117×C₈₉	C₂³	1	4	yes	—
577	#117×C₈₉	C₂³	1	4	yes	—
578	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
579	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
580	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
581	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
582	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
583	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
584	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
585	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
586	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
587	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
588	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
589	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
590	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
591	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
592	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
593	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
594	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
595	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
596	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
597	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
598	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
599	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
600	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
601	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
602	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
603	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
604	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
605	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
606	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
607	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
608	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
609	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
610	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
611	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
612	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
613	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
614	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
615	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
616	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
617	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
618	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
619	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
620	#41×C₈₉	—	4	4	no	—
621	#41×C₈₉	—	8	4	no	—
622	#41×C₈₉	—	8	2	no	—
623	#41×C₈₉	—	8	4	no	—
624	#41×C₈₉	—	8	2	no	—
625	#41×C₈₉	—	8	4	no	—
626	#41×C₈₉	—	8	4	no	—
627	#41×C₈₉	—	8	4	no	—
628	C₂×Q₈×C₈₉	—	8	2	no	—
629	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
630	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
631	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
632	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
633	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
634	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
635	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
636	C₂×D₄×C₈₉	—	4	2	no	—
637	C₂×D₄×C₈₉	—	4	2	no	—
638	C₂×D₄×C₈₉	—	4	4	no	—
639	C₂×D₄×C₈₉	—	4	8	no	—
640	C₂×D₄×C₈₉	—	4	8	no	—
641	C₂×D₄×C₈₉	—	8	2	no	—
642	C₂×D₄×C₈₉	—	8	2	no	—
643	C₂×D₄×C₈₉	—	8	2	no	—
644	C₂×D₄×C₈₉	—	8	4	no	—
645	C₂×D₄×C₈₉	—	8	2	no	—
646	C₂×D₄×C₈₉	—	8	2	no	—
647	C₂×D₄×C₈₉	—	8	4	no	—
648	C₂×D₄×C₈₉	—	8	4	no	—
649	C₂×D₄×C₈₉	—	8	4	no	—
650	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
651	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
652	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
653	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
654	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
655	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
656	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
657	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
658	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
659	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
660	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
661	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
662	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
663	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
664	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
665	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
666	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
667	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
668	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
669	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
670	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
671	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
672	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
673	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
674	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
675	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
676	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
677	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
678	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
679	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
680	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
681	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
682	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
683	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
684	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
685	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
686	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
687	C₂²×C₄×C₈₉	—	4	2	no	—
688	C₂²×C₄×C₈₉	—	8	2	no	—
689	C₂²×C₄×C₈₉	—	8	2	no	—
690	C₂²×C₄×C₈₉	—	8	4	no	—
691	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
692	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
693	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
694	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
695	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
696	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
697	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
698	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
699	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
700	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
701	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
702	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
703	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
704	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
705	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
706	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
707	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
708	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
709	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
710	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
711	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
712	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
713	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
714	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
715	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
716	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
717	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
718	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
719	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
720	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
721	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
722	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
723	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
724	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
725	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
726	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
727	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
728	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
729	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
730	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
731	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
732	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
733	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
734	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
735	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
737	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
738	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
739	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
740	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
741	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
742	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
743	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
744	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
745	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
746	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
747	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
748	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
749	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
750	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
751	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
752	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
753	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
754	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
755	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
756	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
757	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
758	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
759	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
760	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
761	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
762	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
763	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
764	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
765	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
766	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
767	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
768	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
769	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
770	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
771	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
773	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
774	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
781	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
784	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
785	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
786	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
787	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
788	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
789	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
790	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
791	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
792	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
793	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
794	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
795	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
796	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
797	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
798	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
799	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
800	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
801	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
802	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
803	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
804	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
805	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
806	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
807	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
808	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
809	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
810	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
811	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
812	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
813	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
814	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
815	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
816	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
817	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
818	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
819	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
820	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
821	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
822	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
823	C₄²×C₈₉	C₂⁴	1	2	yes	—
824	C₄²×C₈₉	C₂⁴	1	2	yes	—
825	C₄²×C₈₉	C₂⁴	1	2	yes	—
826	C₄²×C₈₉	C₂⁴	1	4	yes	—
827	C₄²×C₈₉	C₂⁴	1	4	yes	—
828	C₄²×C₈₉	C₂⁴	1	4	yes	—
829	C₄²×C₈₉	C₂⁴	1	2	yes	—
830	C₄²×C₈₉	C₂⁴	1	4	yes	—
831	C₄²×C₈₉	C₂⁴	1	4	yes	—
832	C₄²×C₈₉	C₂⁴	1	4	yes	—
833	C₄²×C₈₉	C₂⁴	1	4	yes	—
834	C₄²×C₈₉	C₂⁴	1	4	yes	—
835	C₄²×C₈₉	C₂⁴	1	4	yes	—
836	C₂³×C₈₉	—	2	2	no	—
837	C₂³×C₈₉	—	2	4	no	—
838	C₂³×C₈₉	—	2	4	no	—
839	C₂³×C₈₉	—	4	2	no	—
840	C₂³×C₈₉	—	4	2	no	—
841	C₂³×C₈₉	—	4	4	no	—
842	C₂³×C₈₉	—	4	4	no	—
843	C₂³×C₈₉	—	4	2	no	—
844	C₂³×C₈₉	—	4	2	no	—
845	C₂³×C₈₉	—	4	1	no	—
846	C₂³×C₈₉	—	4	1	no	—
847	C₂³×C₈₉	—	4	4	no	—
848	C₂³×C₈₉	—	4	2	no	—
849	C₂³×C₈₉	—	4	4	no	—
850	C₂³×C₈₉	—	4	4	no	—
851	C₂³×C₈₉	—	4	2	no	—
852	C₂³×C₈₉	—	4	4	no	—
853	C₂³×C₈₉	—	4	2	no	—
854	C₂³×C₈₉	C₂⁵	1	2	yes	—
855	C₂³×C₈₉	C₂⁵	1	4	yes	—
856	C₂³×C₈₉	C₂⁵	1	2	yes	—
857	C₂³×C₈₉	C₂⁵	1	4	yes	—
858	C₂³×C₈₉	C₂⁵	1	4	yes	—
859	C₂³×C₈₉	C₂⁵	1	2	yes	—
860	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
861	Q₈×C₈₉	—	4	2	no	—
862	Q₈×C₈₉	—	4	4	no	—
863	Q₈×C₈₉	—	4	2	no	—
864	Q₈×C₈₉	—	4	2	no	—
865	Q₈×C₈₉	—	4	4	no	—
866	Q₈×C₈₉	—	4	2	no	—
867	Q₈×C₈₉	—	4	2	no	—
868	D₄×C₈₉	—	2	8	no	—
869	D₄×C₈₉	—	2	8	no	—
870	D₄×C₈₉	—	4	1	no	—
871	D₄×C₈₉	—	4	2	no	—
872	D₄×C₈₉	—	4	2	no	—
873	D₄×C₈₉	—	4	2	no	—
874	D₄×C₈₉	—	4	1	no	—
875	D₄×C₈₉	—	4	4	no	—
876	D₄×C₈₉	—	4	4	no	—
877	D₄×C₈₉	—	4	4	no	—
878	D₄×C₈₉	—	4	4	no	—
879	D₄×C₈₉	—	4	4	no	—
880	D₄×C₈₉	—	4	4	no	—
881	D₄×C₈₉	—	4	4	no	—
882	D₄×C₈₉	—	4	4	no	—
883	D₄×C₈₉	—	4	4	no	—
884	D₄×C₈₉	—	4	4	no	—
885	D₄×C₈₉	—	4	2	no	—
886	D₄×C₈₉	—	4	4	no	—
887	D₄×C₈₉	—	4	2	no	—
888	D₄×C₈₉	—	4	4	no	—
889	D₄×C₈₉	—	4	4	no	—
890	D₄×C₈₉	—	4	4	no	—
891	D₄×C₈₉	—	4	4	no	—
892	D₄×C₈₉	—	4	2	no	—
893	D₄×C₈₉	—	4	4	no	—
894	D₄×C₈₉	—	4	2	no	—
895	D₄×C₈₉	—	4	4	no	—
896	D₄×C₈₉	—	4	4	no	—
897	D₄×C₈₉	—	4	4	no	—
898	D₄×C₈₉	—	4	4	no	—
899	D₄×C₈₉	—	4	4	no	—
900	D₄×C₈₉	—	4	4	no	—
901	D₄×C₈₉	—	4	2	no	—
902	D₄×C₈₉	—	4	4	no	—
903	D₄×C₈₉	—	4	4	no	—
904	D₄×C₈₉	—	4	4	no	—
905	C₂×C₄×C₈₉	—	2	2	no	—
906	C₂×C₄×C₈₉	—	2	2	no	—
907	C₂×C₄×C₈₉	—	4	2	no	—
908	C₂×C₄×C₈₉	—	4	2	no	—
909	C₂×C₄×C₈₉	—	4	1	no	—
910	C₂×C₄×C₈₉	—	4	4	no	—
911	C₂×C₄×C₈₉	—	4	1	no	—
912	C₂×C₄×C₈₉	—	4	2	no	—
913	C₂×C₄×C₈₉	—	4	2	no	—
914	C₂×C₄×C₈₉	—	4	2	no	—
915	C₂×C₄×C₈₉	—	4	4	no	—
916	C₂×C₄×C₈₉	—	4	2	no	—
917	C₂×C₄×C₈₉	—	4	4	no	—
918	C₂×C₄×C₈₉	—	4	4	no	—
919	C₂×C₄×C₈₉	—	4	4	no	—
920	C₂×C₄×C₈₉	—	4	2	no	—
921	C₂×C₄×C₈₉	—	4	4	no	—
922	C₂×C₄×C₈₉	—	4	4	no	—
923	C₂×C₄×C₈₉	—	4	2	no	—
924	C₂×C₄×C₈₉	—	4	2	no	—
925	C₂×C₄×C₈₉	—	4	4	no	—
926	C₂×C₄×C₈₉	—	4	4	no	—
927	C₂×C₄×C₈₉	—	4	1	no	—
928	C₂×C₄×C₈₉	—	4	1	no	—
929	C₂×C₄×C₈₉	—	4	4	no	—
930	C₂×C₄×C₈₉	—	4	4	no	—
931	C₂×C₄×C₈₉	—	4	4	no	—
932	C₂×C₄×C₈₉	—	4	4	no	—
933	C₂×C₄×C₈₉	—	4	4	no	—
934	C₂×C₄×C₈₉	—	4	4	no	—
935	C₂×C₄×C₈₉	—	4	4	no	—
936	C₂×C₄×C₈₉	—	4	2	no	—
937	C₂×C₄×C₈₉	—	4	2	no	—
938	C₂×C₄×C₈₉	—	4	4	no	—
939	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
940	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
941	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
942	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
943	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
944	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
945	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
946	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
947	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
948	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
949	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
950	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
951	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
952	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
953	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
954	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
955	C₂²×C₈₉	—	2	1	no	—
956	C₂²×C₈₉	—	2	1	no	—
957	C₂²×C₈₉	—	2	2	no	—
958	C₂²×C₈₉	—	2	2	no	—
959	C₂²×C₈₉	—	2	4	no	—
960	C₂²×C₈₉	—	2	4	no	—
961	C₂²×C₈₉	—	2	4	no	—
962	C₂²×C₈₉	—	2	2	no	—
963	C₂²×C₈₉	—	2	2	no	—
964	C₂²×C₈₉	—	2	4	no	—
965	C₂²×C₈₉	—	2	4	no	—
966	C₂²×C₈₉	—	2	2	no	—
967	C₂²×C₈₉	—	2	2	no	—
968	C₂²×C₈₉	—	2	4	no	—
969	C₂²×C₈₉	—	2	4	no	—
970	C₂²×C₈₉	—	2	4	no	—
971	C₂²×C₈₉	—	2	2	no	—
972	C₂²×C₈₉	—	2	2	no	—
973	C₂²×C₈₉	—	2	4	no	—
974	C₂²×C₈₉	—	2	2	no	—
975	C₂²×C₈₉	—	8	4	no	—
976	C₂²×C₈₉	—	8	4	no	—
977	C₂²×C₈₉	—	8	2	no	—
978	C₂²×C₈₉	—	8	8	no	—
979	C₂²×C₈₉	—	16	2	no	—
980	C₂²×C₈₉	—	16	4	no	—
981	C₂²×C₈₉	#585	1	2	yes	—
982	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
983	C₄×C₈₉	—	2	2	no	—
984	C₄×C₈₉	—	2	1	no	—
985	C₄×C₈₉	—	2	1	no	—
986	C₄×C₈₉	—	2	4	no	—
987	C₄×C₈₉	—	2	4	no	—
988	C₄×C₈₉	—	2	2	no	—
989	C₄×C₈₉	—	2	2	no	—
990	C₄×C₈₉	—	2	4	no	—
991	C₄×C₈₉	—	2	4	no	—
992	C₄×C₈₉	—	2	2	no	—
993	C₄×C₈₉	—	2	2	no	—
994	C₄×C₈₉	—	2	4	no	—
995	C₄×C₈₉	—	2	4	no	—
996	C₄×C₈₉	—	2	2	no	—
997	C₄×C₈₉	—	2	2	no	—
998	C₄×C₈₉	—	2	4	no	—
999	#62870	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
1000	C₂×C₈₉	—	2	2	no	—
1001	C₂×C₈₉	—	4	2	no	—
1002	C₂×C₈₉	—	4	4	no	—
1003	C₂×C₈₉	—	4	2	no	—
1004	C₂×C₈₉	—	4	4	no	—
1005	C₂×C₈₉	—	4	2	no	—
1006	C₂×C₈₉	—	4	4	no	—
1007	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
1008	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
1009	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
1010	#3567	C₂×C₈₉	1	4	yes	complemented
1011	#3566	C₂×C₈₉	1	4	yes	complemented
1012	#3562	C₂×C₈₉	1	4	yes	complemented
1013	#3553	C₂×C₈₉	1	2	yes	complemented
1014	#3551	C₂×C₈₉	1	4	yes	complemented
1015	#3543	C₂×C₈₉	1	2	yes	complemented
1016	#3542	C₂×C₈₉	1	4	yes	complemented
1017	#3539	C₂×C₈₉	1	4	yes	complemented
1018	#3537	C₂×C₈₉	1	2	yes	complemented
1019	#3536	C₂×C₈₉	1	2	yes	complemented
1020	#3535	C₂×C₈₉	1	2	yes	complemented
1021	#3534	C₂×C₈₉	1	2	yes	complemented
1022	#3534	C₂×C₈₉	1	2	yes	complemented
1023	#3534	C₂×C₈₉	1	2	yes	complemented
1024	#3534	C₂×C₈₉	1	4	yes	complemented
1025	#3533	C₂×C₈₉	1	4	yes	complemented
1026	#3519	C₂×C₈₉	1	4	yes	complemented
1027	#3513	C₂×C₈₉	1	4	yes	complemented
1028	#3505	C₂×C₈₉	1	2	yes	complemented
1029	#3493	C₂×C₈₉	1	1	yes	characteristic, complemented
1030	#3491	C₂×C₈₉	1	1	yes	characteristic, complemented
1031	#3459	C₂×C₈₉	1	2	yes	complemented
1032	C₂×#540	C₂×C₈₉	1	1	yes	characteristic, complemented
1033	C₈₉	#62870	1	1	yes	characteristic, direct product factor, Sylow
1034	#564	C₂²×C₈₉	1	2	yes	complemented
1035	#563	C₂²×C₈₉	1	2	yes	complemented
1036	#563	C₂²×C₈₉	1	4	yes	complemented
1037	#563	C₂²×C₈₉	1	2	yes	complemented
1038	#562	C₂²×C₈₉	1	4	yes	complemented
1039	#562	C₂²×C₈₉	1	4	yes	complemented
1040	#562	C₂²×C₈₉	1	4	yes	complemented
1041	#562	C₂²×C₈₉	1	4	yes	complemented
1042	#562	C₂²×C₈₉	1	4	yes	complemented
1043	#562	C₂²×C₈₉	1	4	yes	complemented
1044	#562	C₂²×C₈₉	1	2	yes	complemented
1045	#560	C₂²×C₈₉	1	4	yes	complemented
1046	#560	C₂²×C₈₉	1	4	yes	complemented
1047	#560	C₂²×C₈₉	1	4	yes	complemented
1048	#560	C₂²×C₈₉	1	4	yes	complemented
1049	#560	C₂²×C₈₉	1	4	yes	complemented
1050	#560	C₂²×C₈₉	1	4	yes	complemented
1051	#560	C₂²×C₈₉	1	4	yes	complemented
1052	#559	C₂²×C₈₉	1	4	yes	complemented
1053	#559	C₂²×C₈₉	1	2	yes	complemented
1054	#556	C₂²×C₈₉	1	4	yes	complemented
1055	#555	C₂²×C₈₉	1	4	yes	complemented
1056	#555	C₂²×C₈₉	1	4	yes	complemented
1057	#554	C₂²×C₈₉	1	4	yes	complemented
1058	#554	C₂²×C₈₉	1	4	yes	complemented
1059	#553	C₂²×C₈₉	1	4	yes	complemented
1060	#553	C₂²×C₈₉	1	2	yes	complemented
1061	#553	C₂²×C₈₉	1	2	yes	complemented
1062	#553	C₂²×C₈₉	1	4	yes	complemented
1063	#553	C₂²×C₈₉	1	4	yes	complemented
1064	#553	C₂²×C₈₉	1	4	yes	complemented
1065	#553	C₂²×C₈₉	1	4	yes	complemented
1066	#553	C₂²×C₈₉	1	4	yes	complemented
1067	#553	C₂²×C₈₉	1	4	yes	complemented
1068	#553	C₂²×C₈₉	1	4	yes	complemented
1069	#553	C₂²×C₈₉	1	4	yes	complemented
1070	#553	C₂²×C₈₉	1	4	yes	complemented
1071	#553	C₂²×C₈₉	1	4	yes	complemented
1072	#553	C₂²×C₈₉	1	4	yes	complemented
1073	#553	C₂²×C₈₉	1	4	yes	complemented
1074	#552	C₂²×C₈₉	1	4	yes	complemented
1075	#552	C₂²×C₈₉	1	4	yes	complemented
1076	#552	C₂²×C₈₉	1	4	yes	complemented
1077	#552	C₂²×C₈₉	1	2	yes	complemented
1078	#552	C₂²×C₈₉	1	2	yes	complemented
1079	#552	C₂²×C₈₉	1	4	yes	complemented
1080	#552	C₂²×C₈₉	1	4	yes	complemented
1081	#552	C₂²×C₈₉	1	4	yes	complemented
1082	#552	C₂²×C₈₉	1	4	yes	complemented
1083	#551	C₂²×C₈₉	1	4	yes	complemented
1084	#551	C₂²×C₈₉	1	4	yes	complemented
1085	#551	C₂²×C₈₉	1	4	yes	complemented
1086	#551	C₂²×C₈₉	1	4	yes	complemented
1087	#551	C₂²×C₈₉	1	4	yes	complemented
1088	#551	C₂²×C₈₉	1	4	yes	complemented
1089	#551	C₂²×C₈₉	1	4	yes	complemented
1090	#551	C₂²×C₈₉	1	4	yes	complemented
1091	#551	C₂²×C₈₉	1	4	yes	complemented
1092	#550	C₂²×C₈₉	1	4	yes	complemented
1093	#550	C₂²×C₈₉	1	2	yes	complemented
1094	#550	C₂²×C₈₉	1	2	yes	complemented
1095	#548	C₂²×C₈₉	1	2	yes	complemented
1096	#548	C₂²×C₈₉	1	2	yes	complemented
1097	#548	C₂²×C₈₉	1	4	yes	complemented
1098	#547	C₂²×C₈₉	1	4	yes	complemented
1099	#547	C₂²×C₈₉	1	4	yes	complemented
1100	#547	C₂²×C₈₉	1	4	yes	complemented
1101	#546	C₂²×C₈₉	1	2	yes	complemented
1102	#546	C₂²×C₈₉	1	2	yes	complemented
1103	#546	C₂²×C₈₉	1	4	yes	complemented
1104	#546	C₂²×C₈₉	1	4	yes	complemented
1105	#546	C₂²×C₈₉	1	4	yes	complemented
1106	#546	C₂²×C₈₉	1	4	yes	complemented
1107	#546	C₂²×C₈₉	1	4	yes	complemented
1108	#546	C₂²×C₈₉	1	4	yes	complemented
1109	#546	C₂²×C₈₉	1	4	yes	complemented
1110	#546	C₂²×C₈₉	1	4	yes	complemented
1111	#546	C₂²×C₈₉	1	4	yes	complemented
1112	#546	C₂²×C₈₉	1	4	yes	complemented
1113	#546	C₂²×C₈₉	1	4	yes	complemented
1114	#546	C₂²×C₈₉	1	4	yes	complemented
1115	#546	C₂²×C₈₉	1	4	yes	complemented
1116	D₄²	C₂²×C₈₉	1	4	yes	complemented
1117	D₄²	C₂²×C₈₉	1	4	yes	complemented
1118	D₄²	C₂²×C₈₉	1	4	yes	complemented
1119	D₄²	C₂²×C₈₉	1	4	yes	complemented
1120	D₄²	C₂²×C₈₉	1	2	yes	complemented
1121	D₄²	C₂²×C₈₉	1	4	yes	complemented
1122	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
1123	#543	C₂²×C₈₉	1	2	yes	complemented
1124	#543	C₂²×C₈₉	1	1	yes	characteristic, complemented
1125	#542	C₂²×C₈₉	1	4	yes	complemented
1126	#542	C₂²×C₈₉	1	4	yes	complemented
1127	#542	C₂²×C₈₉	1	4	yes	complemented
1128	#541	C₂²×C₈₉	1	4	yes	complemented
1129	#541	C₂²×C₈₉	1	4	yes	complemented
1130	#540	C₂²×C₈₉	1	4	yes	complemented
1131	#540	C₂²×C₈₉	1	4	yes	complemented
1132	#540	C₂²×C₈₉	1	4	yes	complemented
1133	#540	C₂²×C₈₉	1	4	yes	complemented
1134	#540	C₂²×C₈₉	1	4	yes	complemented
1135	#540	C₂²×C₈₉	1	4	yes	complemented
1136	#540	C₂²×C₈₉	1	4	yes	complemented
1137	#540	C₂²×C₈₉	1	4	yes	complemented
1138	#540	C₂²×C₈₉	1	4	yes	complemented
1139	#540	C₂²×C₈₉	1	4	yes	complemented
1140	#540	C₂²×C₈₉	1	4	yes	complemented
1141	#540	C₂²×C₈₉	1	4	yes	complemented
1142	#540	C₂²×C₈₉	1	4	yes	complemented
1143	#539	C₂²×C₈₉	1	4	yes	complemented
1144	#539	C₂²×C₈₉	1	4	yes	complemented
1145	#539	C₂²×C₈₉	1	4	yes	complemented
1146	#539	C₂²×C₈₉	1	2	yes	complemented
1147	#539	C₂²×C₈₉	1	2	yes	complemented
1148	#539	C₂²×C₈₉	1	4	yes	complemented
1149	#539	C₂²×C₈₉	1	4	yes	complemented
1150	#539	C₂²×C₈₉	1	4	yes	complemented
1151	#539	C₂²×C₈₉	1	4	yes	complemented
1152	#539	C₂²×C₈₉	1	4	yes	complemented
1153	#539	C₂²×C₈₉	1	4	yes	complemented
1154	#539	C₂²×C₈₉	1	2	yes	complemented
1155	#539	C₂²×C₈₉	1	4	yes	complemented
1156	#539	C₂²×C₈₉	1	2	yes	complemented
1157	#539	C₂²×C₈₉	1	4	yes	complemented
1158	#538	C₂²×C₈₉	1	2	yes	complemented
1159	#538	C₂²×C₈₉	1	4	yes	complemented
1160	#538	C₂²×C₈₉	1	2	yes	complemented
1161	#538	C₂²×C₈₉	1	4	yes	complemented
1162	#538	C₂²×C₈₉	1	2	yes	complemented
1163	#538	C₂²×C₈₉	1	2	yes	complemented
1164	#538	C₂²×C₈₉	1	4	yes	complemented
1165	#538	C₂²×C₈₉	1	4	yes	complemented
1166	#538	C₂²×C₈₉	1	4	yes	complemented
1167	#538	C₂²×C₈₉	1	4	yes	complemented
1168	#538	C₂²×C₈₉	1	2	yes	complemented
1169	#538	C₂²×C₈₉	1	4	yes	complemented
1170	#538	C₂²×C₈₉	1	4	yes	complemented
1171	#538	C₂²×C₈₉	1	4	yes	complemented
1172	#538	C₂²×C₈₉	1	2	yes	complemented
1173	#538	C₂²×C₈₉	1	4	yes	complemented
1174	#537	C₂²×C₈₉	1	1	yes	characteristic, complemented
1175	#537	C₂²×C₈₉	1	4	yes	complemented
1176	#537	C₂²×C₈₉	1	2	yes	complemented
1177	#537	C₂²×C₈₉	1	2	yes	complemented
1178	#537	C₂²×C₈₉	1	4	yes	complemented
1179	#536	C₂²×C₈₉	1	4	yes	complemented
1180	#535	C₂²×C₈₉	1	4	yes	complemented
1181	#535	C₂²×C₈₉	1	4	yes	complemented
1182	#535	C₂²×C₈₉	1	4	yes	complemented
1183	#534	C₂²×C₈₉	1	1	yes	characteristic
1184	#534	C₂²×C₈₉	1	2	yes	complemented
1185	#534	C₂²×C₈₉	1	4	yes	complemented
1186	#534	C₂²×C₈₉	1	4	yes	complemented
1187	#534	C₂²×C₈₉	1	4	yes	complemented
1188	#534	C₂²×C₈₉	1	2	yes	complemented
1189	#534	C₂²×C₈₉	1	4	yes	complemented
1190	#534	C₂²×C₈₉	1	2	yes	complemented
1191	#532	C₂²×C₈₉	1	4	yes	complemented
1192	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic, complemented
1193	#529	C₂²×C₈₉	1	2	yes	complemented
1194	#529	C₂²×C₈₉	1	2	yes	complemented
1195	#529	C₂²×C₈₉	1	4	yes	complemented
1196	#529	C₂²×C₈₉	1	4	yes	complemented
1197	#529	C₂²×C₈₉	1	2	yes	complemented
1198	#529	C₂²×C₈₉	1	2	yes	complemented
1199	#529	C₂²×C₈₉	1	4	yes	complemented
1200	#529	C₂²×C₈₉	1	4	yes	complemented
1201	#529	C₂²×C₈₉	1	4	yes	complemented
1202	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
1203	#525	C₂²×C₈₉	1	4	yes	complemented
1204	#525	C₂²×C₈₉	1	4	yes	complemented
1205	#525	C₂²×C₈₉	1	4	yes	complemented
1206	#525	C₂²×C₈₉	1	2	yes	complemented
1207	#525	C₂²×C₈₉	1	2	yes	complemented
1208	#525	C₂²×C₈₉	1	2	yes	complemented
1209	#525	C₂²×C₈₉	1	4	yes	complemented
1210	#525	C₂²×C₈₉	1	4	yes	complemented
1211	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
1212	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
1213	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
1214	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
1215	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1216	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
1217	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
1218	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic, complemented
1219	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
1220	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
1221	C₂×#121	C₂²×C₈₉	1	4	yes	complemented
1222	#520	C₂²×C₈₉	1	2	yes	complemented
1223	#518	C₂²×C₈₉	1	2	yes	complemented
1224	#518	C₂²×C₈₉	1	4	yes	complemented
1225	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1226	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1227	C₂×C₄×D₄	C₂²×C₈₉	1	4	yes	complemented
1228	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
1229	C₂×#41	C₂³×C₈₉	1	2	yes	—
1230	C₂×#41	C₂³×C₈₉	1	4	yes	—
1231	C₂×#41	C₂³×C₈₉	1	2	yes	—
1232	C₂×#41	C₂³×C₈₉	1	4	yes	—
1233	C₂×#41	C₂³×C₈₉	1	2	yes	—
1234	C₂×#41	C₂³×C₈₉	1	4	yes	—
1235	C₂×#41	C₂³×C₈₉	1	4	yes	—
1236	C₂×#41	C₂³×C₈₉	1	4	yes	—
1237	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1238	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1239	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1240	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1241	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1242	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1243	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1244	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1245	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1246	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1247	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1248	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1249	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1250	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1251	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1252	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1253	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1254	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1255	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1256	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1257	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1258	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1259	#127	C₂³×C₈₉	1	4	yes	—
1260	#127	C₂³×C₈₉	1	2	yes	—
1261	#127	C₂³×C₈₉	1	2	yes	—
1262	#127	C₂³×C₈₉	1	4	yes	—
1263	#127	C₂³×C₈₉	1	4	yes	—
1264	#127	C₂³×C₈₉	1	4	yes	—
1265	#127	C₂³×C₈₉	1	4	yes	—
1266	#126	C₂³×C₈₉	1	4	yes	—
1267	#126	C₂³×C₈₉	1	4	yes	—
1268	#126	C₂³×C₈₉	1	4	yes	—
1269	#126	C₂³×C₈₉	1	4	yes	—
1270	#126	C₂³×C₈₉	1	4	yes	—
1271	#126	C₂³×C₈₉	1	4	yes	—
1272	#126	C₂³×C₈₉	1	4	yes	—
1273	#126	C₂³×C₈₉	1	4	yes	—
1274	#126	C₂³×C₈₉	1	4	yes	—
1275	#126	C₂³×C₈₉	1	4	yes	—
1276	#126	C₂³×C₈₉	1	4	yes	—
1277	#126	C₂³×C₈₉	1	4	yes	—
1278	#126	C₂³×C₈₉	1	4	yes	—
1279	#126	C₂³×C₈₉	1	4	yes	—
1280	#126	C₂³×C₈₉	1	4	yes	—
1281	#126	C₂³×C₈₉	1	4	yes	—
1282	#126	C₂³×C₈₉	1	4	yes	—
1283	#126	C₂³×C₈₉	1	4	yes	—
1284	#126	C₂³×C₈₉	1	4	yes	—
1285	#126	C₂³×C₈₉	1	4	yes	—
1286	#126	C₂³×C₈₉	1	4	yes	—
1287	#126	C₂³×C₈₉	1	4	yes	—
1288	#126	C₂³×C₈₉	1	4	yes	—
1289	#126	C₂³×C₈₉	1	4	yes	—
1290	#125	C₂³×C₈₉	1	4	yes	—
1291	#125	C₂³×C₈₉	1	2	yes	—
1292	#125	C₂³×C₈₉	1	2	yes	—
1293	#125	C₂³×C₈₉	1	4	yes	—
1294	#125	C₂³×C₈₉	1	4	yes	—
1295	#125	C₂³×C₈₉	1	2	yes	—
1296	#125	C₂³×C₈₉	1	2	yes	—
1297	#125	C₂³×C₈₉	1	4	yes	—
1298	#125	C₂³×C₈₉	1	4	yes	—
1299	#125	C₂³×C₈₉	1	4	yes	—
1300	#125	C₂³×C₈₉	1	2	yes	—
1301	#125	C₂³×C₈₉	1	2	yes	—
1302	#125	C₂³×C₈₉	1	4	yes	—
1303	#125	C₂³×C₈₉	1	4	yes	—
1304	#125	C₂³×C₈₉	1	4	yes	—
1305	#125	C₂³×C₈₉	1	4	yes	—
1306	#125	C₂³×C₈₉	1	4	yes	—
1307	#125	C₂³×C₈₉	1	4	yes	—
1308	#125	C₂³×C₈₉	1	4	yes	—
1309	#125	C₂³×C₈₉	1	4	yes	—
1310	#124	C₂³×C₈₉	1	2	yes	—
1311	#124	C₂³×C₈₉	1	2	yes	—
1312	#124	C₂³×C₈₉	1	4	yes	—
1313	#124	C₂³×C₈₉	1	2	yes	—
1314	#124	C₂³×C₈₉	1	4	yes	—
1315	#124	C₂³×C₈₉	1	2	yes	—
1316	#124	C₂³×C₈₉	1	4	yes	—
1317	#124	C₂³×C₈₉	1	4	yes	—
1318	#124	C₂³×C₈₉	1	4	yes	—
1319	#124	C₂³×C₈₉	1	4	yes	—
1320	#124	C₂³×C₈₉	1	4	yes	—
1321	#124	C₂³×C₈₉	1	4	yes	—
1322	#124	C₂³×C₈₉	1	4	yes	—
1323	#124	C₂³×C₈₉	1	4	yes	—
1324	#124	C₂³×C₈₉	1	4	yes	—
1325	#124	C₂³×C₈₉	1	4	yes	—
1326	#124	C₂³×C₈₉	1	4	yes	—
1327	#124	C₂³×C₈₉	1	4	yes	—
1328	#123	C₂³×C₈₉	1	4	yes	—
1329	#123	C₂³×C₈₉	1	4	yes	—
1330	#123	C₂³×C₈₉	1	4	yes	—
1331	#123	C₂³×C₈₉	1	4	yes	—
1332	#123	C₂³×C₈₉	1	4	yes	—
1333	#123	C₂³×C₈₉	1	4	yes	—
1334	#123	C₂³×C₈₉	1	4	yes	—
1335	#123	C₂³×C₈₉	1	4	yes	—
1336	#123	C₂³×C₈₉	1	4	yes	—
1337	#123	C₂³×C₈₉	1	4	yes	—
1338	#123	C₂³×C₈₉	1	4	yes	—
1339	#123	C₂³×C₈₉	1	4	yes	—
1340	#123	C₂³×C₈₉	1	4	yes	—
1341	#123	C₂³×C₈₉	1	4	yes	—
1342	#123	C₂³×C₈₉	1	4	yes	—
1343	#123	C₂³×C₈₉	1	4	yes	—
1344	#123	C₂³×C₈₉	1	4	yes	—
1345	#123	C₂³×C₈₉	1	4	yes	—
1346	#123	C₂³×C₈₉	1	4	yes	—
1347	#123	C₂³×C₈₉	1	4	yes	—
1348	#123	C₂³×C₈₉	1	4	yes	—
1349	#123	C₂³×C₈₉	1	4	yes	—
1350	#123	C₂³×C₈₉	1	4	yes	—
1351	#123	C₂³×C₈₉	1	4	yes	—
1352	#123	C₂³×C₈₉	1	4	yes	—
1353	#123	C₂³×C₈₉	1	4	yes	—
1354	#123	C₂³×C₈₉	1	4	yes	—
1355	#123	C₂³×C₈₉	1	4	yes	—
1356	#123	C₂³×C₈₉	1	4	yes	—
1357	#123	C₂³×C₈₉	1	4	yes	—
1358	#123	C₂³×C₈₉	1	4	yes	—
1359	#123	C₂³×C₈₉	1	4	yes	—
1360	#123	C₂³×C₈₉	1	4	yes	—
1361	#123	C₂³×C₈₉	1	4	yes	—
1362	#123	C₂³×C₈₉	1	4	yes	—
1363	#123	C₂³×C₈₉	1	4	yes	—
1364	#123	C₂³×C₈₉	1	4	yes	—
1365	#123	C₂³×C₈₉	1	4	yes	—
1366	#123	C₂³×C₈₉	1	4	yes	—
1367	#123	C₂³×C₈₉	1	4	yes	—
1368	#123	C₂³×C₈₉	1	4	yes	—
1369	#123	C₂³×C₈₉	1	4	yes	—
1370	#123	C₂³×C₈₉	1	4	yes	—
1371	#123	C₂³×C₈₉	1	4	yes	—
1372	#123	C₂³×C₈₉	1	4	yes	—
1373	#123	C₂³×C₈₉	1	4	yes	—
1374	#123	C₂³×C₈₉	1	4	yes	—
1375	#123	C₂³×C₈₉	1	4	yes	—
1376	#123	C₂³×C₈₉	1	4	yes	—
1377	#123	C₂³×C₈₉	1	4	yes	—
1378	#123	C₂³×C₈₉	1	4	yes	—
1379	#123	C₂³×C₈₉	1	4	yes	—
1380	#123	C₂³×C₈₉	1	4	yes	—
1381	#123	C₂³×C₈₉	1	4	yes	—
1382	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1383	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1384	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1385	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1386	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1387	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1388	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1389	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1390	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1391	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1392	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1393	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1394	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1395	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1396	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1397	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1398	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1399	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1400	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1401	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1402	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1403	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1404	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1405	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1406	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1407	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1408	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1409	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1410	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1411	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1412	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1413	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1414	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1415	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1416	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1417	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1418	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1419	#121	C₂³×C₈₉	1	4	yes	—
1420	#121	C₂³×C₈₉	1	2	yes	—
1421	#121	C₂³×C₈₉	1	2	yes	—
1422	#121	C₂³×C₈₉	1	4	yes	—
1423	#121	C₂³×C₈₉	1	4	yes	—
1424	#121	C₂³×C₈₉	1	4	yes	—
1425	#121	C₂³×C₈₉	1	2	yes	—
1426	#121	C₂³×C₈₉	1	2	yes	—
1427	#121	C₂³×C₈₉	1	4	yes	—
1428	#121	C₂³×C₈₉	1	4	yes	—
1429	#121	C₂³×C₈₉	1	4	yes	—
1430	#121	C₂³×C₈₉	1	4	yes	—
1431	#121	C₂³×C₈₉	1	2	yes	—
1432	#121	C₂³×C₈₉	1	2	yes	—
1433	#121	C₂³×C₈₉	1	4	yes	—
1434	#121	C₂³×C₈₉	1	4	yes	—
1435	#121	C₂³×C₈₉	1	2	yes	—
1436	#121	C₂³×C₈₉	1	4	yes	—
1437	#121	C₂³×C₈₉	1	4	yes	—
1438	#121	C₂³×C₈₉	1	4	yes	—
1439	#121	C₂³×C₈₉	1	4	yes	—
1440	#121	C₂³×C₈₉	1	4	yes	—
1441	#121	C₂³×C₈₉	1	4	yes	—
1442	#121	C₂³×C₈₉	1	4	yes	—
1443	#121	C₂³×C₈₉	1	4	yes	—
1444	#121	C₂³×C₈₉	1	4	yes	—
1445	#121	C₂³×C₈₉	1	2	yes	—
1446	#121	C₂³×C₈₉	1	2	yes	—
1447	#121	C₂³×C₈₉	1	4	yes	—
1448	#121	C₂³×C₈₉	1	4	yes	—
1449	#121	C₂³×C₈₉	1	2	yes	—
1450	#121	C₂³×C₈₉	1	2	yes	—
1451	#121	C₂³×C₈₉	1	4	yes	—
1452	#121	C₂³×C₈₉	1	4	yes	—
1453	#121	C₂³×C₈₉	1	2	yes	—
1454	#121	C₂³×C₈₉	1	4	yes	—
1455	#121	C₂³×C₈₉	1	4	yes	—
1456	#121	C₂³×C₈₉	1	4	yes	—
1457	#121	C₂³×C₈₉	1	4	yes	—
1458	#121	C₂³×C₈₉	1	2	yes	—
1459	#121	C₂³×C₈₉	1	4	yes	—
1460	#121	C₂³×C₈₉	1	4	yes	—
1461	#121	C₂³×C₈₉	1	4	yes	—
1462	#121	C₂³×C₈₉	1	2	yes	—
1463	#121	C₂³×C₈₉	1	4	yes	—
1464	#121	C₂³×C₈₉	1	4	yes	—
1465	#121	C₂³×C₈₉	1	4	yes	—
1466	#121	C₂³×C₈₉	1	4	yes	—
1467	#121	C₂³×C₈₉	1	4	yes	—
1468	#121	C₂³×C₈₉	1	4	yes	—
1469	#121	C₂³×C₈₉	1	4	yes	—
1470	#121	C₂³×C₈₉	1	4	yes	—
1471	#121	C₂³×C₈₉	1	4	yes	—
1472	#121	C₂³×C₈₉	1	4	yes	—
1473	#121	C₂³×C₈₉	1	4	yes	—
1474	#121	C₂³×C₈₉	1	4	yes	—
1475	#121	C₂³×C₈₉	1	4	yes	—
1476	#121	C₂³×C₈₉	1	4	yes	—
1477	#121	C₂³×C₈₉	1	4	yes	—
1478	#121	C₂³×C₈₉	1	4	yes	—
1479	#121	C₂³×C₈₉	1	4	yes	—
1480	#121	C₂³×C₈₉	1	4	yes	—
1481	#121	C₂³×C₈₉	1	4	yes	—
1482	#121	C₂³×C₈₉	1	4	yes	—
1483	#121	C₂³×C₈₉	1	4	yes	—
1484	#121	C₂³×C₈₉	1	4	yes	—
1485	#121	C₂³×C₈₉	1	4	yes	—
1486	#121	C₂³×C₈₉	1	4	yes	—
1487	#121	C₂³×C₈₉	1	4	yes	—
1488	#121	C₂³×C₈₉	1	4	yes	—
1489	#121	C₂³×C₈₉	1	4	yes	—
1490	#121	C₂³×C₈₉	1	4	yes	—
1491	#121	C₂³×C₈₉	1	4	yes	—
1492	#120	C₂³×C₈₉	1	4	yes	—
1493	#120	C₂³×C₈₉	1	4	yes	—
1494	#120	C₂³×C₈₉	1	4	yes	—
1495	#120	C₂³×C₈₉	1	4	yes	—
1496	#120	C₂³×C₈₉	1	4	yes	—
1497	#120	C₂³×C₈₉	1	4	yes	—
1498	#120	C₂³×C₈₉	1	4	yes	—
1499	#120	C₂³×C₈₉	1	4	yes	—
1500	#120	C₂³×C₈₉	1	4	yes	—
1501	#120	C₂³×C₈₉	1	4	yes	—
1502	#120	C₂³×C₈₉	1	4	yes	—
1503	#120	C₂³×C₈₉	1	4	yes	—
1504	#120	C₂³×C₈₉	1	4	yes	—
1505	#120	C₂³×C₈₉	1	4	yes	—
1506	#120	C₂³×C₈₉	1	4	yes	—
1507	#120	C₂³×C₈₉	1	4	yes	—
1508	#120	C₂³×C₈₉	1	4	yes	—
1509	#120	C₂³×C₈₉	1	4	yes	—
1510	#120	C₂³×C₈₉	1	4	yes	—
1511	#120	C₂³×C₈₉	1	4	yes	—
1512	#120	C₂³×C₈₉	1	4	yes	—
1513	#120	C₂³×C₈₉	1	4	yes	—
1514	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1515	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1516	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1517	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1518	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1519	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1520	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1521	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1522	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1523	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1524	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1525	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1526	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1527	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1528	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1529	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1530	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1531	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1532	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1533	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1534	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1535	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1536	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1537	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1538	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1539	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1540	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1541	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1542	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1543	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1544	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1545	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1546	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1547	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1548	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1549	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1550	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1551	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1552	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1553	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1554	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1555	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1556	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1557	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1558	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1559	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1560	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1561	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1562	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1563	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1564	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1565	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1566	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1567	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1568	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1569	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1570	#117	C₂³×C₈₉	1	4	yes	—
1571	#117	C₂³×C₈₉	1	4	yes	—
1572	#117	C₂³×C₈₉	1	4	yes	—
1573	#117	C₂³×C₈₉	1	4	yes	—
1574	#117	C₂³×C₈₉	1	4	yes	—
1575	#117	C₂³×C₈₉	1	2	yes	—
1576	#117	C₂³×C₈₉	1	4	yes	—
1577	#117	C₂³×C₈₉	1	4	yes	—
1578	#117	C₂³×C₈₉	1	4	yes	—
1579	#117	C₂³×C₈₉	1	4	yes	—
1580	#117	C₂³×C₈₉	1	2	yes	—
1581	#117	C₂³×C₈₉	1	4	yes	—
1582	#117	C₂³×C₈₉	1	4	yes	—
1583	#117	C₂³×C₈₉	1	2	yes	—
1584	#117	C₂³×C₈₉	1	4	yes	—
1585	#117	C₂³×C₈₉	1	4	yes	—
1586	#117	C₂³×C₈₉	1	4	yes	—
1587	#117	C₂³×C₈₉	1	4	yes	—
1588	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1589	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1590	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1591	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1592	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1593	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1594	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1595	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1596	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1597	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1598	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1599	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1600	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1601	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1602	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1604	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1605	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1606	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1607	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1608	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1609	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1610	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1611	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1612	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1613	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1614	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1615	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1616	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1617	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1618	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1619	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1620	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1621	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1622	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1623	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1624	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1625	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1626	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1627	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1628	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1629	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1630	#41	—	4	4	no	—
1631	#41	—	8	4	no	—
1632	#41	—	8	2	no	—
1633	#41	—	8	4	no	—
1634	#41	—	8	2	no	—
1635	#41	—	8	4	no	—
1636	#41	—	8	4	no	—
1637	#41	—	8	4	no	—
1638	C₂×Q₈	—	8	2	no	—
1639	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1640	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1641	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1642	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1643	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1644	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1645	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1646	C₂×D₄	—	4	2	no	—
1647	C₂×D₄	—	4	2	no	—
1648	C₂×D₄	—	4	4	no	—
1649	C₂×D₄	—	4	8	no	—
1650	C₂×D₄	—	4	8	no	—
1651	C₂×D₄	—	8	2	no	—
1652	C₂×D₄	—	8	2	no	—
1653	C₂×D₄	—	8	2	no	—
1654	C₂×D₄	—	8	4	no	—
1655	C₂×D₄	—	8	2	no	—
1656	C₂×D₄	—	8	2	no	—
1657	C₂×D₄	—	8	4	no	—
1658	C₂×D₄	—	8	4	no	—
1659	C₂×D₄	—	8	4	no	—
1660	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1661	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1662	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1663	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1664	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1665	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1666	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1667	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1668	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1669	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1670	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1671	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1672	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1673	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1674	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1675	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1676	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1677	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1678	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1679	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1680	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1681	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1682	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1683	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1684	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1685	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1686	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1687	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1688	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1689	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1690	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1691	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1692	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1693	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1694	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1695	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1696	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1697	C₂²×C₄	—	4	2	no	—
1698	C₂²×C₄	—	8	2	no	—
1699	C₂²×C₄	—	8	2	no	—
1700	C₂²×C₄	—	8	4	no	—
1701	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1702	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1703	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1704	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1705	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1706	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1707	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1708	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1709	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1710	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1711	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1712	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1713	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1714	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1715	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1716	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1717	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1718	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1719	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1720	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1721	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1722	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1723	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1724	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1725	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1726	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1727	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1728	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1729	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1730	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1731	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1732	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1733	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1734	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1735	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1736	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1737	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1738	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1739	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1740	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1741	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1742	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1743	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1744	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1745	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1746	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1747	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1748	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1749	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1750	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1751	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1752	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1753	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1754	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1755	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1756	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1757	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1758	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1759	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1760	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1761	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1762	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1763	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1764	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1765	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1766	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1767	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1768	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1769	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1770	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1771	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1772	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1773	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1774	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1775	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1776	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1777	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1778	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1779	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1780	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1781	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1782	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1783	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1784	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1785	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1786	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1787	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1788	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1789	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1790	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1791	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1792	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1793	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1794	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1795	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1796	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1797	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1798	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1799	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1800	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1801	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1802	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1803	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1804	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1805	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1806	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1807	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1808	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1809	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1810	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1811	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1812	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1813	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1814	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1815	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1816	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1817	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1818	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1819	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1820	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1821	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1822	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1823	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1824	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1825	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1826	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1827	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1828	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1829	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1830	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1831	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1832	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1833	C₄²	C₂⁴×C₈₉	1	2	yes	—
1834	C₄²	C₂⁴×C₈₉	1	2	yes	—
1835	C₄²	C₂⁴×C₈₉	1	2	yes	—
1836	C₄²	C₂⁴×C₈₉	1	4	yes	—
1837	C₄²	C₂⁴×C₈₉	1	4	yes	—
1838	C₄²	C₂⁴×C₈₉	1	4	yes	—
1839	C₄²	C₂⁴×C₈₉	1	2	yes	—
1840	C₄²	C₂⁴×C₈₉	1	4	yes	—
1841	C₄²	C₂⁴×C₈₉	1	4	yes	—
1842	C₄²	C₂⁴×C₈₉	1	4	yes	—
1843	C₄²	C₂⁴×C₈₉	1	4	yes	—
1844	C₄²	C₂⁴×C₈₉	1	4	yes	—
1845	C₄²	C₂⁴×C₈₉	1	4	yes	—
1846	C₂³	—	2	2	no	—
1847	C₂³	—	2	4	no	—
1848	C₂³	—	2	4	no	—
1849	C₂³	—	4	2	no	—
1850	C₂³	—	4	2	no	—
1851	C₂³	—	4	4	no	—
1852	C₂³	—	4	4	no	—
1853	C₂³	—	4	2	no	—
1854	C₂³	—	4	2	no	—
1855	C₂³	—	4	1	no	—
1856	C₂³	—	4	1	no	—
1857	C₂³	—	4	4	no	—
1858	C₂³	—	4	2	no	—
1859	C₂³	—	4	4	no	—
1860	C₂³	—	4	4	no	—
1861	C₂³	—	4	2	no	—
1862	C₂³	—	4	4	no	—
1863	C₂³	—	4	2	no	—
1864	C₂³	C₂⁵×C₈₉	1	2	yes	—
1865	C₂³	C₂⁵×C₈₉	1	4	yes	—
1866	C₂³	C₂⁵×C₈₉	1	2	yes	—
1867	C₂³	C₂⁵×C₈₉	1	4	yes	—
1868	C₂³	C₂⁵×C₈₉	1	4	yes	—
1869	C₂³	C₂⁵×C₈₉	1	2	yes	—
1870	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1871	Q₈	—	4	2	no	—
1872	Q₈	—	4	4	no	—
1873	Q₈	—	4	2	no	—
1874	Q₈	—	4	2	no	—
1875	Q₈	—	4	4	no	—
1876	Q₈	—	4	2	no	—
1877	Q₈	—	4	2	no	—
1878	D₄	—	2	8	no	—
1879	D₄	—	2	8	no	—
1880	D₄	—	4	1	no	—
1881	D₄	—	4	2	no	—
1882	D₄	—	4	2	no	—
1883	D₄	—	4	2	no	—
1884	D₄	—	4	1	no	—
1885	D₄	—	4	4	no	—
1886	D₄	—	4	4	no	—
1887	D₄	—	4	4	no	—
1888	D₄	—	4	4	no	—
1889	D₄	—	4	4	no	—
1890	D₄	—	4	4	no	—
1891	D₄	—	4	4	no	—
1892	D₄	—	4	4	no	—
1893	D₄	—	4	4	no	—
1894	D₄	—	4	4	no	—
1895	D₄	—	4	2	no	—
1896	D₄	—	4	4	no	—
1897	D₄	—	4	2	no	—
1898	D₄	—	4	4	no	—
1899	D₄	—	4	4	no	—
1900	D₄	—	4	4	no	—
1901	D₄	—	4	4	no	—
1902	D₄	—	4	2	no	—
1903	D₄	—	4	4	no	—
1904	D₄	—	4	2	no	—
1905	D₄	—	4	4	no	—
1906	D₄	—	4	4	no	—
1907	D₄	—	4	4	no	—
1908	D₄	—	4	4	no	—
1909	D₄	—	4	4	no	—
1910	D₄	—	4	4	no	—
1911	D₄	—	4	2	no	—
1912	D₄	—	4	4	no	—
1913	D₄	—	4	4	no	—
1914	D₄	—	4	4	no	—
1915	C₂×C₄	—	2	2	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	4	2	no	—
1918	C₂×C₄	—	4	2	no	—
1919	C₂×C₄	—	4	1	no	—
1920	C₂×C₄	—	4	4	no	—
1921	C₂×C₄	—	4	1	no	—
1922	C₂×C₄	—	4	2	no	—
1923	C₂×C₄	—	4	2	no	—
1924	C₂×C₄	—	4	2	no	—
1925	C₂×C₄	—	4	4	no	—
1926	C₂×C₄	—	4	2	no	—
1927	C₂×C₄	—	4	4	no	—
1928	C₂×C₄	—	4	4	no	—
1929	C₂×C₄	—	4	4	no	—
1930	C₂×C₄	—	4	2	no	—
1931	C₂×C₄	—	4	4	no	—
1932	C₂×C₄	—	4	4	no	—
1933	C₂×C₄	—	4	2	no	—
1934	C₂×C₄	—	4	2	no	—
1935	C₂×C₄	—	4	4	no	—
1936	C₂×C₄	—	4	4	no	—
1937	C₂×C₄	—	4	1	no	—
1938	C₂×C₄	—	4	1	no	—
1939	C₂×C₄	—	4	4	no	—
1940	C₂×C₄	—	4	4	no	—
1941	C₂×C₄	—	4	4	no	—
1942	C₂×C₄	—	4	4	no	—
1943	C₂×C₄	—	4	4	no	—
1944	C₂×C₄	—	4	4	no	—
1945	C₂×C₄	—	4	4	no	—
1946	C₂×C₄	—	4	2	no	—
1947	C₂×C₄	—	4	2	no	—
1948	C₂×C₄	—	4	4	no	—
1949	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1950	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1951	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1952	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1953	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1954	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1955	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1956	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1957	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1958	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1959	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1960	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1961	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1962	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1963	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1964	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1965	C₂²	—	2	1	no	—
1966	C₂²	—	2	1	no	—
1967	C₂²	—	2	2	no	—
1968	C₂²	—	2	2	no	—
1969	C₂²	—	2	4	no	—
1970	C₂²	—	2	4	no	—
1971	C₂²	—	2	4	no	—
1972	C₂²	—	2	2	no	—
1973	C₂²	—	2	2	no	—
1974	C₂²	—	2	4	no	—
1975	C₂²	—	2	4	no	—
1976	C₂²	—	2	2	no	—
1977	C₂²	—	2	2	no	—
1978	C₂²	—	2	4	no	—
1979	C₂²	—	2	4	no	—
1980	C₂²	—	2	4	no	—
1981	C₂²	—	2	2	no	—
1982	C₂²	—	2	2	no	—
1983	C₂²	—	2	4	no	—
1984	C₂²	—	2	2	no	—
1985	C₂²	—	8	4	no	—
1986	C₂²	—	8	4	no	—
1987	C₂²	—	8	2	no	—
1988	C₂²	—	8	8	no	—
1989	C₂²	—	16	2	no	—
1990	C₂²	—	16	4	no	—
1991	C₂²	#585×C₈₉	1	2	yes	—
1992	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1993	C₄	—	2	2	no	—
1994	C₄	—	2	1	no	—
1995	C₄	—	2	1	no	—
1996	C₄	—	2	4	no	—
1997	C₄	—	2	4	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	2	4	no	—
2001	C₄	—	2	4	no	—
2002	C₄	—	2	2	no	—
2003	C₄	—	2	2	no	—
2004	C₄	—	2	4	no	—
2005	C₄	—	2	4	no	—
2006	C₄	—	2	2	no	—
2007	C₄	—	2	2	no	—
2008	C₄	—	2	4	no	—
2009	C₂	—	2	2	no	—
2010	C₂	—	4	2	no	—
2011	C₂	—	4	4	no	—
2012	C₂	—	4	2	no	—
2013	C₂	—	4	4	no	—
2014	C₂	—	4	2	no	—
2015	C₂	—	4	4	no	—
2016	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
2017	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
2018	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₈₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3567	C₂	semidirect
2. C₈₉×#3566	C₂	semidirect
3. C₈₉×#3562	C₂	semidirect
4. C₈₉×#3553	C₂	semidirect
5. C₈₉×#3551	C₂	semidirect
6. C₈₉×#3543	C₂	semidirect
7. C₈₉×#3542	C₂	semidirect
8. C₈₉×#3539	C₂	semidirect
9. C₈₉×#3537	C₂	semidirect
10. C₈₉×#3536	C₂	semidirect
11. C₈₉×#3535	C₂	semidirect
12. C₈₉×#3534	C₂	semidirect
13. C₈₉×#3534	C₂	semidirect
14. C₈₉×#3534	C₂	semidirect
15. C₈₉×#3534	C₂	semidirect
16. C₈₉×#3533	C₂	semidirect
17. C₈₉×#3519	C₂	semidirect
18. C₈₉×#3513	C₂	semidirect
19. C₈₉×#3505	C₂	semidirect
20. C₈₉×#3493	C₂	semidirect
21. C₈₉×#3491	C₂	semidirect
22. C₈₉×#3459	C₂	semidirect
23. C₂×#540×C₈₉	C₂	semidirect
24. #564×C₈₉	C₂²	semidirect
25. #563×C₈₉	C₂²	semidirect
26. #563×C₈₉	C₂²	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #562×C₈₉	C₂²	semidirect
29. #562×C₈₉	C₂²	semidirect
30. #562×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. #562×C₈₉	C₂²	semidirect
33. #562×C₈₉	C₂²	semidirect
34. #562×C₈₉	C₂²	semidirect
35. #560×C₈₉	C₂²	semidirect
36. #560×C₈₉	C₂²	semidirect
37. #560×C₈₉	C₂²	semidirect
38. #560×C₈₉	C₂²	semidirect
39. #560×C₈₉	C₂²	semidirect
40. #560×C₈₉	C₂²	semidirect
41. #560×C₈₉	C₂²	semidirect
42. #559×C₈₉	C₂²	semidirect
43. #559×C₈₉	C₂²	semidirect
44. #556×C₈₉	C₂²	semidirect
45. #555×C₈₉	C₂²	semidirect
46. #555×C₈₉	C₂²	semidirect
47. #554×C₈₉	C₂²	semidirect
48. #554×C₈₉	C₂²	semidirect
49. #553×C₈₉	C₂²	semidirect
50. #553×C₈₉	C₂²	semidirect
51. #553×C₈₉	C₂²	semidirect
52. #553×C₈₉	C₂²	semidirect
53. #553×C₈₉	C₂²	semidirect
54. #553×C₈₉	C₂²	semidirect
55. #553×C₈₉	C₂²	semidirect
56. #553×C₈₉	C₂²	semidirect
57. #553×C₈₉	C₂²	semidirect
58. #553×C₈₉	C₂²	semidirect
59. #553×C₈₉	C₂²	semidirect
60. #553×C₈₉	C₂²	semidirect
61. #553×C₈₉	C₂²	semidirect
62. #553×C₈₉	C₂²	semidirect
63. #553×C₈₉	C₂²	semidirect
64. #552×C₈₉	C₂²	semidirect
65. #552×C₈₉	C₂²	semidirect
66. #552×C₈₉	C₂²	semidirect
67. #552×C₈₉	C₂²	semidirect
68. #552×C₈₉	C₂²	semidirect
69. #552×C₈₉	C₂²	semidirect
70. #552×C₈₉	C₂²	semidirect
71. #552×C₈₉	C₂²	semidirect
72. #552×C₈₉	C₂²	semidirect
73. #551×C₈₉	C₂²	semidirect
74. #551×C₈₉	C₂²	semidirect
75. #551×C₈₉	C₂²	semidirect
76. #551×C₈₉	C₂²	semidirect
77. #551×C₈₉	C₂²	semidirect
78. #551×C₈₉	C₂²	semidirect
79. #551×C₈₉	C₂²	semidirect
80. #551×C₈₉	C₂²	semidirect
81. #551×C₈₉	C₂²	semidirect
82. #550×C₈₉	C₂²	semidirect
83. #550×C₈₉	C₂²	semidirect
84. #550×C₈₉	C₂²	semidirect
85. #548×C₈₉	C₂²	semidirect
86. #548×C₈₉	C₂²	semidirect
87. #548×C₈₉	C₂²	semidirect
88. #547×C₈₉	C₂²	semidirect
89. #547×C₈₉	C₂²	semidirect
90. #547×C₈₉	C₂²	semidirect
91. #546×C₈₉	C₂²	semidirect
92. #546×C₈₉	C₂²	semidirect
93. #546×C₈₉	C₂²	semidirect
94. #546×C₈₉	C₂²	semidirect
95. #546×C₈₉	C₂²	semidirect
96. #546×C₈₉	C₂²	semidirect
97. #546×C₈₉	C₂²	semidirect
98. #546×C₈₉	C₂²	semidirect
99. #546×C₈₉	C₂²	semidirect
100. #546×C₈₉	C₂²	semidirect
101. #546×C₈₉	C₂²	semidirect
102. #546×C₈₉	C₂²	semidirect
103. #546×C₈₉	C₂²	semidirect
104. #546×C₈₉	C₂²	semidirect
105. #546×C₈₉	C₂²	semidirect
106. D₄²×C₈₉	C₂²	semidirect
107. D₄²×C₈₉	C₂²	semidirect
108. D₄²×C₈₉	C₂²	semidirect
109. D₄²×C₈₉	C₂²	semidirect
110. D₄²×C₈₉	C₂²	semidirect
111. D₄²×C₈₉	C₂²	semidirect
112. #544×C₈₉	C₂²	semidirect
113. #543×C₈₉	C₂²	semidirect
114. #543×C₈₉	C₂²	semidirect
115. #542×C₈₉	C₂²	semidirect
116. #542×C₈₉	C₂²	semidirect
117. #542×C₈₉	C₂²	semidirect
118. #541×C₈₉	C₂²	semidirect
119. #541×C₈₉	C₂²	semidirect
120. #540×C₈₉	C₂²	semidirect
121. #540×C₈₉	C₂²	semidirect
122. #540×C₈₉	C₂²	semidirect
123. #540×C₈₉	C₂²	semidirect
124. #540×C₈₉	C₂²	semidirect
125. #540×C₈₉	C₂²	semidirect
126. #540×C₈₉	C₂²	semidirect
127. #540×C₈₉	C₂²	semidirect
128. #540×C₈₉	C₂²	semidirect
129. #540×C₈₉	C₂²	semidirect
130. #540×C₈₉	C₂²	semidirect
131. #540×C₈₉	C₂²	semidirect
132. #540×C₈₉	C₂²	semidirect
133. #539×C₈₉	C₂²	semidirect
134. #539×C₈₉	C₂²	semidirect
135. #539×C₈₉	C₂²	semidirect
136. #539×C₈₉	C₂²	semidirect
137. #539×C₈₉	C₂²	semidirect
138. #539×C₈₉	C₂²	semidirect
139. #539×C₈₉	C₂²	semidirect
140. #539×C₈₉	C₂²	semidirect
141. #539×C₈₉	C₂²	semidirect
142. #539×C₈₉	C₂²	semidirect
143. #539×C₈₉	C₂²	semidirect
144. #539×C₈₉	C₂²	semidirect
145. #539×C₈₉	C₂²	semidirect
146. #539×C₈₉	C₂²	semidirect
147. #539×C₈₉	C₂²	semidirect
148. #538×C₈₉	C₂²	semidirect
149. #538×C₈₉	C₂²	semidirect
150. #538×C₈₉	C₂²	semidirect
151. #538×C₈₉	C₂²	semidirect
152. #538×C₈₉	C₂²	semidirect
153. #538×C₈₉	C₂²	semidirect
154. #538×C₈₉	C₂²	semidirect
155. #538×C₈₉	C₂²	semidirect
156. #538×C₈₉	C₂²	semidirect
157. #538×C₈₉	C₂²	semidirect
158. #538×C₈₉	C₂²	semidirect
159. #538×C₈₉	C₂²	semidirect
160. #538×C₈₉	C₂²	semidirect
161. #538×C₈₉	C₂²	semidirect
162. #538×C₈₉	C₂²	semidirect
163. #538×C₈₉	C₂²	semidirect
164. #537×C₈₉	C₂²	semidirect
165. #537×C₈₉	C₂²	semidirect
166. #537×C₈₉	C₂²	semidirect
167. #537×C₈₉	C₂²	semidirect
168. #537×C₈₉	C₂²	semidirect
169. #536×C₈₉	C₂²	semidirect
170. #535×C₈₉	C₂²	semidirect
171. #535×C₈₉	C₂²	semidirect
172. #535×C₈₉	C₂²	semidirect
174. #534×C₈₉	C₂²	semidirect
175. #534×C₈₉	C₂²	semidirect
176. #534×C₈₉	C₂²	semidirect
177. #534×C₈₉	C₂²	semidirect
178. #534×C₈₉	C₂²	semidirect
179. #534×C₈₉	C₂²	semidirect
180. #534×C₈₉	C₂²	semidirect
181. #532×C₈₉	C₂²	semidirect
182. C₂×#127×C₈₉	C₂²	semidirect
183. #529×C₈₉	C₂²	semidirect
184. #529×C₈₉	C₂²	semidirect
185. #529×C₈₉	C₂²	semidirect
186. #529×C₈₉	C₂²	semidirect
187. #529×C₈₉	C₂²	semidirect
188. #529×C₈₉	C₂²	semidirect
189. #529×C₈₉	C₂²	semidirect
190. #529×C₈₉	C₂²	semidirect
191. #529×C₈₉	C₂²	semidirect
192. C₂×#125×C₈₉	C₂²	semidirect
193. #525×C₈₉	C₂²	semidirect
194. #525×C₈₉	C₂²	semidirect
195. #525×C₈₉	C₂²	semidirect
196. #525×C₈₉	C₂²	semidirect
197. #525×C₈₉	C₂²	semidirect
198. #525×C₈₉	C₂²	semidirect
199. #525×C₈₉	C₂²	semidirect
200. #525×C₈₉	C₂²	semidirect
201. C₂×#123×C₈₉	C₂²	semidirect
202. C₂×#123×C₈₉	C₂²	semidirect
203. C₂×#123×C₈₉	C₂²	semidirect
204. C₂×#123×C₈₉	C₂²	semidirect
205. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
206. C₂×#121×C₈₉	C₂²	semidirect
207. C₂×#121×C₈₉	C₂²	semidirect
208. C₂×#121×C₈₉	C₂²	semidirect
209. C₂×#121×C₈₉	C₂²	semidirect
210. C₂×#121×C₈₉	C₂²	semidirect
211. C₂×#121×C₈₉	C₂²	semidirect
212. #520×C₈₉	C₂²	semidirect
213. #518×C₈₉	C₂²	semidirect
214. #518×C₈₉	C₂²	semidirect
215. C₂×C₄×D₄×C₈₉	C₂²	semidirect
216. C₂×C₄×D₄×C₈₉	C₂²	semidirect
217. C₂×C₄×D₄×C₈₉	C₂²	semidirect
218. C₂×#117×C₈₉	C₂²	semidirect
999. #62870	C₈₉	direct (N × H)
1010. #3567	C₂×C₈₉	semidirect
1011. #3566	C₂×C₈₉	semidirect
1012. #3562	C₂×C₈₉	semidirect
1013. #3553	C₂×C₈₉	semidirect
1014. #3551	C₂×C₈₉	semidirect
1015. #3543	C₂×C₈₉	semidirect
1016. #3542	C₂×C₈₉	semidirect
1017. #3539	C₂×C₈₉	semidirect
1018. #3537	C₂×C₈₉	semidirect
1019. #3536	C₂×C₈₉	semidirect
1020. #3535	C₂×C₈₉	semidirect
1021. #3534	C₂×C₈₉	semidirect
1022. #3534	C₂×C₈₉	semidirect
1023. #3534	C₂×C₈₉	semidirect
1024. #3534	C₂×C₈₉	semidirect
1025. #3533	C₂×C₈₉	semidirect
1026. #3519	C₂×C₈₉	semidirect
1027. #3513	C₂×C₈₉	semidirect
1028. #3505	C₂×C₈₉	semidirect
1029. #3493	C₂×C₈₉	semidirect
1030. #3491	C₂×C₈₉	semidirect
1031. #3459	C₂×C₈₉	semidirect
1032. C₂×#540	C₂×C₈₉	semidirect
1033. C₈₉	#62870	direct (N × H)
1034. #564	C₂²×C₈₉	semidirect
1035. #563	C₂²×C₈₉	semidirect
1036. #563	C₂²×C₈₉	semidirect
1037. #563	C₂²×C₈₉	semidirect
1038. #562	C₂²×C₈₉	semidirect
1039. #562	C₂²×C₈₉	semidirect
1040. #562	C₂²×C₈₉	semidirect
1041. #562	C₂²×C₈₉	semidirect
1042. #562	C₂²×C₈₉	semidirect
1043. #562	C₂²×C₈₉	semidirect
1044. #562	C₂²×C₈₉	semidirect
1045. #560	C₂²×C₈₉	semidirect
1046. #560	C₂²×C₈₉	semidirect
1047. #560	C₂²×C₈₉	semidirect
1048. #560	C₂²×C₈₉	semidirect
1049. #560	C₂²×C₈₉	semidirect
1050. #560	C₂²×C₈₉	semidirect
1051. #560	C₂²×C₈₉	semidirect
1052. #559	C₂²×C₈₉	semidirect
1053. #559	C₂²×C₈₉	semidirect
1054. #556	C₂²×C₈₉	semidirect
1055. #555	C₂²×C₈₉	semidirect
1056. #555	C₂²×C₈₉	semidirect
1057. #554	C₂²×C₈₉	semidirect
1058. #554	C₂²×C₈₉	semidirect
1059. #553	C₂²×C₈₉	semidirect
1060. #553	C₂²×C₈₉	semidirect
1061. #553	C₂²×C₈₉	semidirect
1062. #553	C₂²×C₈₉	semidirect
1063. #553	C₂²×C₈₉	semidirect
1064. #553	C₂²×C₈₉	semidirect
1065. #553	C₂²×C₈₉	semidirect
1066. #553	C₂²×C₈₉	semidirect
1067. #553	C₂²×C₈₉	semidirect
1068. #553	C₂²×C₈₉	semidirect
1069. #553	C₂²×C₈₉	semidirect
1070. #553	C₂²×C₈₉	semidirect
1071. #553	C₂²×C₈₉	semidirect
1072. #553	C₂²×C₈₉	semidirect
1073. #553	C₂²×C₈₉	semidirect
1074. #552	C₂²×C₈₉	semidirect
1075. #552	C₂²×C₈₉	semidirect
1076. #552	C₂²×C₈₉	semidirect
1077. #552	C₂²×C₈₉	semidirect
1078. #552	C₂²×C₈₉	semidirect
1079. #552	C₂²×C₈₉	semidirect
1080. #552	C₂²×C₈₉	semidirect
1081. #552	C₂²×C₈₉	semidirect
1082. #552	C₂²×C₈₉	semidirect
1083. #551	C₂²×C₈₉	semidirect
1084. #551	C₂²×C₈₉	semidirect
1085. #551	C₂²×C₈₉	semidirect
1086. #551	C₂²×C₈₉	semidirect
1087. #551	C₂²×C₈₉	semidirect
1088. #551	C₂²×C₈₉	semidirect
1089. #551	C₂²×C₈₉	semidirect
1090. #551	C₂²×C₈₉	semidirect
1091. #551	C₂²×C₈₉	semidirect
1092. #550	C₂²×C₈₉	semidirect
1093. #550	C₂²×C₈₉	semidirect
1094. #550	C₂²×C₈₉	semidirect
1095. #548	C₂²×C₈₉	semidirect
1096. #548	C₂²×C₈₉	semidirect
1097. #548	C₂²×C₈₉	semidirect
1098. #547	C₂²×C₈₉	semidirect
1099. #547	C₂²×C₈₉	semidirect
1100. #547	C₂²×C₈₉	semidirect
1101. #546	C₂²×C₈₉	semidirect
1102. #546	C₂²×C₈₉	semidirect
1103. #546	C₂²×C₈₉	semidirect
1104. #546	C₂²×C₈₉	semidirect
1105. #546	C₂²×C₈₉	semidirect
1106. #546	C₂²×C₈₉	semidirect
1107. #546	C₂²×C₈₉	semidirect
1108. #546	C₂²×C₈₉	semidirect
1109. #546	C₂²×C₈₉	semidirect
1110. #546	C₂²×C₈₉	semidirect
1111. #546	C₂²×C₈₉	semidirect
1112. #546	C₂²×C₈₉	semidirect
1113. #546	C₂²×C₈₉	semidirect
1114. #546	C₂²×C₈₉	semidirect
1115. #546	C₂²×C₈₉	semidirect
1116. D₄²	C₂²×C₈₉	semidirect
1117. D₄²	C₂²×C₈₉	semidirect
1118. D₄²	C₂²×C₈₉	semidirect
1119. D₄²	C₂²×C₈₉	semidirect
1120. D₄²	C₂²×C₈₉	semidirect
1121. D₄²	C₂²×C₈₉	semidirect
1122. #544	C₂²×C₈₉	semidirect
1123. #543	C₂²×C₈₉	semidirect
1124. #543	C₂²×C₈₉	semidirect
1125. #542	C₂²×C₈₉	semidirect
1126. #542	C₂²×C₈₉	semidirect
1127. #542	C₂²×C₈₉	semidirect
1128. #541	C₂²×C₈₉	semidirect
1129. #541	C₂²×C₈₉	semidirect
1130. #540	C₂²×C₈₉	semidirect
1131. #540	C₂²×C₈₉	semidirect
1132. #540	C₂²×C₈₉	semidirect
1133. #540	C₂²×C₈₉	semidirect
1134. #540	C₂²×C₈₉	semidirect
1135. #540	C₂²×C₈₉	semidirect
1136. #540	C₂²×C₈₉	semidirect
1137. #540	C₂²×C₈₉	semidirect
1138. #540	C₂²×C₈₉	semidirect
1139. #540	C₂²×C₈₉	semidirect
1140. #540	C₂²×C₈₉	semidirect
1141. #540	C₂²×C₈₉	semidirect
1142. #540	C₂²×C₈₉	semidirect
1143. #539	C₂²×C₈₉	semidirect
1144. #539	C₂²×C₈₉	semidirect
1145. #539	C₂²×C₈₉	semidirect
1146. #539	C₂²×C₈₉	semidirect
1147. #539	C₂²×C₈₉	semidirect
1148. #539	C₂²×C₈₉	semidirect
1149. #539	C₂²×C₈₉	semidirect
1150. #539	C₂²×C₈₉	semidirect
1151. #539	C₂²×C₈₉	semidirect
1152. #539	C₂²×C₈₉	semidirect
1153. #539	C₂²×C₈₉	semidirect
1154. #539	C₂²×C₈₉	semidirect
1155. #539	C₂²×C₈₉	semidirect
1156. #539	C₂²×C₈₉	semidirect
1157. #539	C₂²×C₈₉	semidirect
1158. #538	C₂²×C₈₉	semidirect
1159. #538	C₂²×C₈₉	semidirect
1160. #538	C₂²×C₈₉	semidirect
1161. #538	C₂²×C₈₉	semidirect
1162. #538	C₂²×C₈₉	semidirect
1163. #538	C₂²×C₈₉	semidirect
1164. #538	C₂²×C₈₉	semidirect
1165. #538	C₂²×C₈₉	semidirect
1166. #538	C₂²×C₈₉	semidirect
1167. #538	C₂²×C₈₉	semidirect
1168. #538	C₂²×C₈₉	semidirect
1169. #538	C₂²×C₈₉	semidirect
1170. #538	C₂²×C₈₉	semidirect
1171. #538	C₂²×C₈₉	semidirect
1172. #538	C₂²×C₈₉	semidirect
1173. #538	C₂²×C₈₉	semidirect
1174. #537	C₂²×C₈₉	semidirect
1175. #537	C₂²×C₈₉	semidirect
1176. #537	C₂²×C₈₉	semidirect
1177. #537	C₂²×C₈₉	semidirect
1178. #537	C₂²×C₈₉	semidirect
1179. #536	C₂²×C₈₉	semidirect
1180. #535	C₂²×C₈₉	semidirect
1181. #535	C₂²×C₈₉	semidirect
1182. #535	C₂²×C₈₉	semidirect
1184. #534	C₂²×C₈₉	semidirect
1185. #534	C₂²×C₈₉	semidirect
1186. #534	C₂²×C₈₉	semidirect
1187. #534	C₂²×C₈₉	semidirect
1188. #534	C₂²×C₈₉	semidirect
1189. #534	C₂²×C₈₉	semidirect
1190. #534	C₂²×C₈₉	semidirect
1191. #532	C₂²×C₈₉	semidirect
1192. C₂×#127	C₂²×C₈₉	semidirect
1193. #529	C₂²×C₈₉	semidirect
1194. #529	C₂²×C₈₉	semidirect
1195. #529	C₂²×C₈₉	semidirect
1196. #529	C₂²×C₈₉	semidirect
1197. #529	C₂²×C₈₉	semidirect
1198. #529	C₂²×C₈₉	semidirect
1199. #529	C₂²×C₈₉	semidirect
1200. #529	C₂²×C₈₉	semidirect
1201. #529	C₂²×C₈₉	semidirect
1202. C₂×#125	C₂²×C₈₉	semidirect
1203. #525	C₂²×C₈₉	semidirect
1204. #525	C₂²×C₈₉	semidirect
1205. #525	C₂²×C₈₉	semidirect
1206. #525	C₂²×C₈₉	semidirect
1207. #525	C₂²×C₈₉	semidirect
1208. #525	C₂²×C₈₉	semidirect
1209. #525	C₂²×C₈₉	semidirect
1210. #525	C₂²×C₈₉	semidirect
1211. C₂×#123	C₂²×C₈₉	semidirect
1212. C₂×#123	C₂²×C₈₉	semidirect
1213. C₂×#123	C₂²×C₈₉	semidirect
1214. C₂×#123	C₂²×C₈₉	semidirect
1215. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1216. C₂×#121	C₂²×C₈₉	semidirect
1217. C₂×#121	C₂²×C₈₉	semidirect
1218. C₂×#121	C₂²×C₈₉	semidirect
1219. C₂×#121	C₂²×C₈₉	semidirect
1220. C₂×#121	C₂²×C₈₉	semidirect
1221. C₂×#121	C₂²×C₈₉	semidirect
1222. #520	C₂²×C₈₉	semidirect
1223. #518	C₂²×C₈₉	semidirect
1224. #518	C₂²×C₈₉	semidirect
1225. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1226. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1227. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1228. C₂×#117	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×#3567	2
C₈₉×#3566	2
C₈₉×#3562	2
C₈₉×#3553	2
C₈₉×#3551	2
C₈₉×#3543	2
C₈₉×#3542	2
C₈₉×#3539	2
C₈₉×#3537	2
C₈₉×#3536	2
C₈₉×#3535	2
C₈₉×#3534	2
C₈₉×#3533	2
C₈₉×#3519	2
C₈₉×#3513	2
C₈₉×#3505	2
C₈₉×#3493	2
C₈₉×#3491	2
C₈₉×#3459	2
C₂×#540×C₈₉	2
#62870	89

Subgroups — C89×#62870 #36440718

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62870 #36440718