Subgroups — C₈₉×#62564 #36440412

Order 22784.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3370	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3325	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3324	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3322	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#3319	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#3318	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3318	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3317	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3311	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3309	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3241	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3241	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3240	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#3217	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3183	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3179	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#3179	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3138	C₂	1	1	yes	maximal, characteristic, complemented
29	C₈₉×#3136	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈₉×#3136	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2967	C₂	1	1	yes	maximal, characteristic, complemented
32	#563×C₈₉	—	2	1	no	—
33	#562×C₈₉	—	2	1	no	—
34	#560×C₈₉	—	2	1	no	—
35	#560×C₈₉	—	2	1	no	—
36	#559×C₈₉	C₂²	1	1	yes	characteristic
37	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
38	#556×C₈₉	—	2	1	no	—
39	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
40	#555×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
42	#553×C₈₉	C₂²	1	1	yes	characteristic, complemented
43	#553×C₈₉	C₂²	1	1	yes	characteristic, complemented
44	#552×C₈₉	—	2	1	no	—
45	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
46	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
47	#550×C₈₉	C₂²	1	1	yes	characteristic
48	#550×C₈₉	C₂²	1	1	yes	characteristic
49	#546×C₈₉	—	2	1	no	—
50	#546×C₈₉	C₂²	1	1	yes	characteristic
51	#546×C₈₉	C₂²	1	1	yes	characteristic
52	D₄²×C₈₉	—	2	1	no	—
53	D₄²×C₈₉	C₂²	1	1	yes	characteristic
54	D₄²×C₈₉	C₂²	1	1	yes	characteristic
55	D₄²×C₈₉	C₂²	1	1	yes	characteristic
56	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
57	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#542×C₈₉	—	2	1	no	—
59	#542×C₈₉	—	2	1	no	—
60	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
61	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
62	#541×C₈₉	—	2	1	no	—
63	#540×C₈₉	—	2	1	no	—
64	#540×C₈₉	C₂²	1	1	yes	characteristic
65	#540×C₈₉	C₂²	1	1	yes	characteristic
66	#539×C₈₉	—	2	1	no	—
67	#535×C₈₉	—	2	1	no	—
68	#535×C₈₉	C₂²	1	1	yes	characteristic
69	#535×C₈₉	C₂²	1	1	yes	characteristic
70	#534×C₈₉	—	2	1	no	—
71	#534×C₈₉	—	2	1	no	—
72	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
73	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic
74	#529×C₈₉	C₂²	1	1	yes	characteristic
75	#529×C₈₉	C₂²	1	1	yes	characteristic
76	#529×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	#499×C₈₉	C₂²	1	1	yes	characteristic, complemented
80	#496×C₈₉	C₂²	1	1	yes	characteristic, complemented
81	#496×C₈₉	C₂²	1	1	yes	characteristic, complemented
82	#495×C₈₉	C₂²	1	1	yes	characteristic, complemented
83	#490×C₈₉	C₂²	1	1	yes	characteristic
84	#490×C₈₉	C₂²	1	1	yes	characteristic
85	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
88	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
89	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
90	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
91	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
92	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
93	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
95	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
98	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
99	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
100	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
101	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
102	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
103	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
104	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
105	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
106	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
107	#482×C₈₉	C₂²	1	1	yes	characteristic
108	#482×C₈₉	C₂²	1	1	yes	characteristic
109	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
110	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#481×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#481×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#480×C₈₉	C₂²	1	1	yes	characteristic, complemented
116	#480×C₈₉	C₂²	1	1	yes	characteristic, complemented
117	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
118	#479×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	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#476×C₈₉	C₂²	1	1	yes	characteristic, complemented
126	#476×C₈₉	C₂²	1	1	yes	characteristic, complemented
127	#474×C₈₉	C₂²	1	1	yes	characteristic, complemented
128	#474×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#470×C₈₉	C₂²	1	1	yes	characteristic, complemented
130	#469×C₈₉	C₂²	1	1	yes	characteristic
131	#469×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#469×C₈₉	C₂²	1	1	yes	characteristic, complemented
133	#468×C₈₉	C₂²	1	1	yes	characteristic
134	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
135	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#466×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#466×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	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
145	#460×C₈₉	C₂²	1	1	yes	characteristic
146	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
147	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
148	#460×C₈₉	C₂²	1	1	yes	characteristic, complemented
149	#459×C₈₉	C₂²	1	1	yes	characteristic
150	#459×C₈₉	C₂²	1	1	yes	characteristic, complemented
151	#459×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	#459×C₈₉	C₂²	1	1	yes	characteristic, complemented
153	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
154	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
155	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
157	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
159	#449×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#449×C₈₉	C₂²	1	1	yes	characteristic, complemented
161	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
162	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
163	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
164	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
165	#446×C₈₉	C₂²	1	1	yes	characteristic, complemented
166	#446×C₈₉	C₂²	1	1	yes	characteristic, complemented
167	#442×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	#442×C₈₉	C₂²	1	1	yes	characteristic, complemented
169	#442×C₈₉	C₂²	1	1	yes	characteristic, complemented
170	#441×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
172	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#436×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#436×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	#432×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
190	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
191	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
192	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
194	#417×C₈₉	C₂²	1	1	yes	characteristic, complemented
195	#417×C₈₉	C₂²	1	1	yes	characteristic, complemented
196	#416×C₈₉	C₂²	1	1	yes	characteristic, complemented
197	#416×C₈₉	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
200	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
201	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₈₉	—	2	1	no	—
204	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₈₉	—	2	1	no	—
207	C₂²×D₄×C₈₉	—	2	1	no	—
208	C₂²×D₄×C₈₉	—	2	1	no	—
209	C₂²×D₄×C₈₉	—	2	1	no	—
210	C₂²×D₄×C₈₉	—	2	1	no	—
211	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
215	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
221	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
224	C₂×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	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
230	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₈₉	—	2	1	no	—
234	C₄⋊Q₈×C₈₉	—	2	1	no	—
235	C₄⋊Q₈×C₈₉	—	2	1	no	—
236	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
240	#127×C₈₉	—	2	1	no	—
241	#127×C₈₉	—	2	1	no	—
242	#127×C₈₉	—	2	1	no	—
243	#127×C₈₉	C₂³	1	1	yes	characteristic
244	#127×C₈₉	C₂³	1	1	yes	characteristic
245	#127×C₈₉	C₂³	1	1	yes	characteristic
246	#127×C₈₉	C₂³	1	1	yes	characteristic
247	#127×C₈₉	C₂³	1	1	yes	characteristic
248	#127×C₈₉	C₂³	1	1	yes	characteristic
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	#126×C₈₉	—	2	1	no	—
254	#126×C₈₉	—	2	1	no	—
255	#126×C₈₉	—	2	1	no	—
256	#126×C₈₉	—	2	1	no	—
257	#126×C₈₉	—	2	1	no	—
258	#126×C₈₉	—	2	1	no	—
259	#126×C₈₉	D₄	1	1	yes	characteristic
260	#126×C₈₉	D₄	1	1	yes	characteristic
261	#125×C₈₉	—	2	1	no	—
262	#125×C₈₉	—	2	1	no	—
263	#125×C₈₉	—	2	1	no	—
264	#125×C₈₉	—	2	1	no	—
265	#125×C₈₉	—	2	1	no	—
266	#125×C₈₉	—	2	1	no	—
267	#125×C₈₉	D₄	1	1	yes	characteristic
268	#125×C₈₉	C₂³	1	1	yes	characteristic
269	#125×C₈₉	C₂³	1	1	yes	characteristic
270	#125×C₈₉	C₂³	1	1	yes	characteristic
271	#125×C₈₉	C₂³	1	1	yes	characteristic
272	#125×C₈₉	C₂³	1	1	yes	characteristic
273	#125×C₈₉	C₂³	1	1	yes	characteristic
274	#124×C₈₉	—	2	1	no	—
275	#124×C₈₉	—	2	1	no	—
276	#124×C₈₉	—	2	1	no	—
277	#124×C₈₉	—	2	1	no	—
278	#124×C₈₉	—	2	1	no	—
279	#124×C₈₉	—	2	1	no	—
280	#124×C₈₉	D₄	1	1	yes	characteristic
281	#124×C₈₉	C₂³	1	1	yes	characteristic
282	#124×C₈₉	C₂³	1	1	yes	characteristic
283	#124×C₈₉	C₂³	1	1	yes	characteristic
284	#124×C₈₉	C₂³	1	1	yes	characteristic
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	#123×C₈₉	—	2	1	no	—
296	#123×C₈₉	—	2	1	no	—
297	#123×C₈₉	—	2	1	no	—
298	#123×C₈₉	—	2	1	no	—
299	#123×C₈₉	—	2	1	no	—
300	#123×C₈₉	—	2	1	no	—
301	#123×C₈₉	D₄	1	1	yes	characteristic
302	#123×C₈₉	D₄	1	1	yes	characteristic
303	C₂²⋊Q₈×C₈₉	—	2	1	no	—
304	C₂²⋊Q₈×C₈₉	—	2	1	no	—
305	C₂²⋊Q₈×C₈₉	—	2	1	no	—
306	C₂²⋊Q₈×C₈₉	—	2	1	no	—
307	C₂²⋊Q₈×C₈₉	—	2	1	no	—
308	C₂²⋊Q₈×C₈₉	—	2	1	no	—
309	C₂²⋊Q₈×C₈₉	—	2	1	no	—
310	C₂²⋊Q₈×C₈₉	—	2	1	no	—
311	C₂²⋊Q₈×C₈₉	—	2	1	no	—
312	C₂²⋊Q₈×C₈₉	—	2	1	no	—
313	C₂²⋊Q₈×C₈₉	—	2	1	no	—
314	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
315	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
319	#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	—	2	1	no	—
324	#121×C₈₉	—	2	1	no	—
325	#121×C₈₉	—	2	1	no	—
326	#121×C₈₉	—	2	1	no	—
327	#121×C₈₉	—	2	1	no	—
328	#121×C₈₉	—	2	1	no	—
329	#121×C₈₉	—	2	1	no	—
330	#121×C₈₉	—	2	1	no	—
331	#121×C₈₉	—	2	1	no	—
332	#121×C₈₉	—	2	1	no	—
333	#121×C₈₉	—	2	1	no	—
334	#121×C₈₉	—	2	1	no	—
335	#121×C₈₉	—	2	1	no	—
336	#121×C₈₉	—	2	1	no	—
337	#121×C₈₉	—	2	1	no	—
338	#121×C₈₉	—	2	1	no	—
339	#121×C₈₉	—	2	1	no	—
340	#121×C₈₉	D₄	1	1	yes	characteristic
341	#121×C₈₉	C₂³	1	1	yes	characteristic
342	#121×C₈₉	C₂³	1	1	yes	characteristic
343	#121×C₈₉	C₂³	1	1	yes	characteristic
344	#121×C₈₉	C₂³	1	1	yes	characteristic
345	#121×C₈₉	C₂³	1	1	yes	characteristic
346	#121×C₈₉	C₂³	1	1	yes	characteristic
347	#121×C₈₉	C₂³	1	1	yes	characteristic
348	#121×C₈₉	C₂³	1	1	yes	characteristic
349	#120×C₈₉	—	2	1	no	—
350	#120×C₈₉	—	2	1	no	—
351	#120×C₈₉	—	2	1	no	—
352	#120×C₈₉	—	2	1	no	—
353	#120×C₈₉	—	2	1	no	—
354	#120×C₈₉	—	2	1	no	—
355	#120×C₈₉	—	2	1	no	—
356	#120×C₈₉	—	2	1	no	—
357	#120×C₈₉	—	2	1	no	—
358	#120×C₈₉	—	2	1	no	—
359	#120×C₈₉	—	2	1	no	—
360	#120×C₈₉	—	2	1	no	—
361	C₄×Q₈×C₈₉	—	2	1	no	—
362	C₄×Q₈×C₈₉	—	2	1	no	—
363	C₄×Q₈×C₈₉	—	2	1	no	—
364	C₄×Q₈×C₈₉	—	2	1	no	—
365	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₈₉	—	2	1	no	—
371	C₄×D₄×C₈₉	—	2	1	no	—
372	C₄×D₄×C₈₉	—	2	1	no	—
373	C₄×D₄×C₈₉	—	2	1	no	—
374	C₄×D₄×C₈₉	—	2	1	no	—
375	C₄×D₄×C₈₉	—	2	1	no	—
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	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
386	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
387	#117×C₈₉	—	2	1	no	—
388	#117×C₈₉	—	2	1	no	—
389	#117×C₈₉	—	2	1	no	—
390	#117×C₈₉	—	2	1	no	—
391	#117×C₈₉	—	2	1	no	—
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	#117×C₈₉	C₂³	1	1	yes	characteristic
397	#117×C₈₉	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
399	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
401	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
403	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
404	#107×C₈₉	C₂³	1	1	yes	characteristic
405	#107×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	#106×C₈₉	C₂³	1	1	yes	characteristic
411	#106×C₈₉	C₂³	1	1	yes	characteristic
412	#106×C₈₉	C₂³	1	1	yes	characteristic
413	#106×C₈₉	C₂³	1	1	yes	characteristic
414	#106×C₈₉	C₂³	1	1	yes	characteristic
415	#106×C₈₉	C₂³	1	1	yes	characteristic
416	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
417	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
418	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
419	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
420	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
421	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
422	#103×C₈₉	C₂³	1	1	yes	characteristic
423	#103×C₈₉	C₂³	1	1	yes	characteristic
424	#103×C₈₉	C₂³	1	1	yes	characteristic
425	#103×C₈₉	C₂³	1	1	yes	characteristic
426	#103×C₈₉	C₂³	1	1	yes	characteristic
427	#103×C₈₉	C₂³	1	1	yes	characteristic
428	#103×C₈₉	C₂³	1	1	yes	characteristic
429	#103×C₈₉	C₂³	1	1	yes	characteristic
430	#102×C₈₉	C₂³	1	1	yes	characteristic
431	#102×C₈₉	C₂³	1	1	yes	characteristic
432	#102×C₈₉	C₂³	1	1	yes	characteristic
433	#102×C₈₉	C₂³	1	1	yes	characteristic
434	#102×C₈₉	C₂³	1	1	yes	characteristic
435	#102×C₈₉	C₂³	1	1	yes	characteristic
436	#102×C₈₉	C₂³	1	1	yes	characteristic
437	#102×C₈₉	C₂³	1	1	yes	characteristic
438	#102×C₈₉	C₂³	1	1	yes	characteristic
439	#102×C₈₉	C₂³	1	1	yes	characteristic
440	#102×C₈₉	C₂³	1	1	yes	characteristic
441	#102×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	#97×C₈₉	C₂³	1	1	yes	characteristic
469	#97×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	C₂⁴×C₈₉	—	2	1	no	—
481	C₂⁴×C₈₉	—	2	1	no	—
482	#41×C₈₉	—	4	1	no	—
483	#41×C₈₉	—	4	1	no	—
484	#41×C₈₉	—	4	1	no	—
485	#41×C₈₉	—	4	1	no	—
486	#41×C₈₉	—	8	2	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	C₂×D₄	1	1	yes	characteristic
492	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
493	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₈₉	—	2	1	no	—
495	C₂×D₄×C₈₉	—	2	1	no	—
496	C₂×D₄×C₈₉	—	2	1	no	—
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	—	2	1	no	—
515	C₂×D₄×C₈₉	—	2	1	no	—
516	C₂×D₄×C₈₉	—	2	1	no	—
517	C₂×D₄×C₈₉	—	2	1	no	—
518	C₂×D₄×C₈₉	—	2	1	no	—
519	C₂×D₄×C₈₉	—	2	1	no	—
520	C₂×D₄×C₈₉	—	4	1	no	—
521	C₂×D₄×C₈₉	—	4	1	no	—
522	C₂×D₄×C₈₉	—	4	1	no	—
523	C₂×D₄×C₈₉	—	4	1	no	—
524	C₂×D₄×C₈₉	—	4	1	no	—
525	C₂×D₄×C₈₉	—	4	1	no	—
526	C₂×D₄×C₈₉	—	4	1	no	—
527	C₂×D₄×C₈₉	—	4	1	no	—
528	C₂×D₄×C₈₉	—	8	2	no	—
529	C₂×D₄×C₈₉	—	8	2	no	—
530	C₂×D₄×C₈₉	—	8	2	no	—
531	C₂×D₄×C₈₉	—	8	2	no	—
532	C₂×D₄×C₈₉	—	8	2	no	—
533	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
535	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
536	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
540	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	—	2	1	no	—
543	C₂²×C₄×C₈₉	—	2	1	no	—
544	C₂²×C₄×C₈₉	—	2	1	no	—
545	C₂²×C₄×C₈₉	—	2	1	no	—
546	C₂²×C₄×C₈₉	—	2	1	no	—
547	C₂²×C₄×C₈₉	—	2	1	no	—
548	C₂²×C₄×C₈₉	—	2	1	no	—
549	C₂²×C₄×C₈₉	—	2	1	no	—
550	C₂²×C₄×C₈₉	—	2	1	no	—
551	C₂²×C₄×C₈₉	—	2	1	no	—
552	C₂²×C₄×C₈₉	—	2	1	no	—
553	C₂²×C₄×C₈₉	—	2	1	no	—
554	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	Q₁₆×C₈₉	—	4	1	no	—
560	SD₁₆×C₈₉	—	4	1	no	—
561	SD₁₆×C₈₉	—	4	1	no	—
562	SD₁₆×C₈₉	—	4	1	no	—
563	SD₁₆×C₈₉	—	4	1	no	—
564	SD₁₆×C₈₉	—	4	1	no	—
565	SD₁₆×C₈₉	—	4	1	no	—
566	D₈×C₈₉	—	4	1	no	—
567	D₈×C₈₉	—	4	1	no	—
568	D₈×C₈₉	—	4	1	no	—
569	D₈×C₈₉	—	4	1	no	—
570	D₈×C₈₉	—	4	1	no	—
571	M₁₆×C₈₉	—	4	1	no	—
572	M₁₆×C₈₉	—	4	1	no	—
573	M₁₆×C₈₉	—	4	1	no	—
574	M₁₆×C₈₉	—	4	1	no	—
575	C₂×C₈×C₈₉	—	4	1	no	—
576	C₂×C₈×C₈₉	—	4	1	no	—
577	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
581	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
603	C₄⋊C₄×C₈₉	—	2	1	no	—
604	C₄⋊C₄×C₈₉	—	2	1	no	—
605	C₄⋊C₄×C₈₉	—	2	1	no	—
606	C₄⋊C₄×C₈₉	—	2	1	no	—
607	C₄⋊C₄×C₈₉	—	2	1	no	—
608	C₄⋊C₄×C₈₉	—	2	1	no	—
609	C₄⋊C₄×C₈₉	—	2	1	no	—
610	C₄⋊C₄×C₈₉	—	2	1	no	—
611	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
619	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
620	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
621	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
623	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
625	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
626	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
627	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
628	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
658	C₂²⋊C₄×C₈₉	—	2	1	no	—
659	C₂²⋊C₄×C₈₉	—	2	1	no	—
660	C₂²⋊C₄×C₈₉	—	2	1	no	—
661	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
668	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
669	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₈₉	—	2	1	no	—
672	C₄²×C₈₉	—	2	1	no	—
673	C₄²×C₈₉	—	2	1	no	—
674	C₄²×C₈₉	—	2	1	no	—
675	C₄²×C₈₉	—	2	1	no	—
676	C₄²×C₈₉	—	2	1	no	—
677	C₄²×C₈₉	—	2	1	no	—
678	C₄²×C₈₉	—	2	1	no	—
679	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
680	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
681	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
682	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
683	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
684	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
685	C₂³×C₈₉	—	2	1	no	—
686	C₂³×C₈₉	—	2	1	no	—
687	C₂³×C₈₉	—	2	1	no	—
688	C₂³×C₈₉	—	2	1	no	—
689	C₂³×C₈₉	—	2	1	no	—
690	C₂³×C₈₉	—	2	1	no	—
691	C₂³×C₈₉	—	4	2	no	—
692	C₂³×C₈₉	—	4	2	no	—
693	C₂³×C₈₉	—	8	1	no	—
694	C₂³×C₈₉	—	8	1	no	—
695	C₂³×C₈₉	—	8	1	no	—
696	C₂³×C₈₉	—	8	1	no	—
697	C₂³×C₈₉	—	8	1	no	—
698	C₂³×C₈₉	—	8	1	no	—
699	C₂³×C₈₉	—	8	1	no	—
700	C₂³×C₈₉	—	8	1	no	—
701	C₂³×C₈₉	—	8	1	no	—
702	C₂³×C₈₉	—	8	1	no	—
703	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
704	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
705	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
706	Q₈×C₈₉	—	2	1	no	—
707	Q₈×C₈₉	—	2	1	no	—
708	Q₈×C₈₉	—	2	1	no	—
709	Q₈×C₈₉	—	2	1	no	—
710	Q₈×C₈₉	—	4	1	no	—
711	Q₈×C₈₉	—	8	1	no	—
712	Q₈×C₈₉	—	8	1	no	—
713	Q₈×C₈₉	—	8	1	no	—
714	Q₈×C₈₉	—	8	1	no	—
715	D₄×C₈₉	—	2	1	no	—
716	D₄×C₈₉	—	2	1	no	—
717	D₄×C₈₉	—	2	1	no	—
718	D₄×C₈₉	—	2	1	no	—
719	D₄×C₈₉	—	2	1	no	—
720	D₄×C₈₉	—	2	1	no	—
721	D₄×C₈₉	—	2	1	no	—
722	D₄×C₈₉	—	2	1	no	—
723	D₄×C₈₉	—	2	1	no	—
724	D₄×C₈₉	—	2	1	no	—
725	D₄×C₈₉	—	2	1	no	—
726	D₄×C₈₉	—	2	1	no	—
727	D₄×C₈₉	—	4	1	no	—
728	D₄×C₈₉	—	4	1	no	—
729	D₄×C₈₉	—	4	1	no	—
730	D₄×C₈₉	—	4	2	no	—
731	D₄×C₈₉	—	4	2	no	—
732	D₄×C₈₉	—	4	2	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	D₄×C₈₉	—	8	1	no	—
739	D₄×C₈₉	—	8	1	no	—
740	D₄×C₈₉	—	8	1	no	—
741	D₄×C₈₉	—	8	1	no	—
742	D₄×C₈₉	—	8	1	no	—
743	D₄×C₈₉	—	8	1	no	—
744	D₄×C₈₉	—	8	1	no	—
745	D₄×C₈₉	—	8	1	no	—
746	D₄×C₈₉	—	8	1	no	—
747	D₄×C₈₉	—	8	1	no	—
748	D₄×C₈₉	—	8	1	no	—
749	D₄×C₈₉	—	8	1	no	—
750	D₄×C₈₉	—	8	1	no	—
751	D₄×C₈₉	—	8	1	no	—
752	D₄×C₈₉	—	8	1	no	—
753	D₄×C₈₉	—	8	1	no	—
754	D₄×C₈₉	—	8	1	no	—
755	D₄×C₈₉	—	8	1	no	—
756	C₂×C₄×C₈₉	—	2	1	no	—
757	C₂×C₄×C₈₉	—	2	1	no	—
758	C₂×C₄×C₈₉	—	2	1	no	—
759	C₂×C₄×C₈₉	—	2	1	no	—
760	C₂×C₄×C₈₉	—	2	1	no	—
761	C₂×C₄×C₈₉	—	2	1	no	—
762	C₂×C₄×C₈₉	—	2	1	no	—
763	C₂×C₄×C₈₉	—	2	1	no	—
764	C₂×C₄×C₈₉	—	2	1	no	—
765	C₂×C₄×C₈₉	—	2	1	no	—
766	C₂×C₄×C₈₉	—	2	1	no	—
767	C₂×C₄×C₈₉	—	2	1	no	—
768	C₂×C₄×C₈₉	—	2	1	no	—
769	C₂×C₄×C₈₉	—	2	1	no	—
770	C₂×C₄×C₈₉	—	2	1	no	—
771	C₂×C₄×C₈₉	—	2	1	no	—
772	C₂×C₄×C₈₉	—	4	1	no	—
773	C₂×C₄×C₈₉	—	4	1	no	—
774	C₂×C₄×C₈₉	—	4	2	no	—
775	C₂×C₄×C₈₉	—	8	1	no	—
776	C₂×C₄×C₈₉	—	8	1	no	—
777	C₂×C₄×C₈₉	—	8	1	no	—
778	C₂×C₄×C₈₉	—	8	1	no	—
779	C₂×C₄×C₈₉	—	8	1	no	—
780	C₂×C₄×C₈₉	—	8	1	no	—
781	C₂×C₄×C₈₉	—	8	1	no	—
782	C₂×C₄×C₈₉	—	8	1	no	—
783	C₂×C₄×C₈₉	—	8	1	no	—
784	C₂×C₄×C₈₉	—	8	1	no	—
785	C₂×C₄×C₈₉	—	8	1	no	—
786	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
798	C₈×C₈₉	—	2	1	no	—
799	C₈×C₈₉	—	2	1	no	—
800	C₈×C₈₉	—	2	1	no	—
801	C₈×C₈₉	—	2	1	no	—
802	C₈×C₈₉	—	2	1	no	—
803	C₈×C₈₉	—	2	1	no	—
804	C₈×C₈₉	—	2	1	no	—
805	C₈×C₈₉	—	2	1	no	—
806	C₂²×C₈₉	—	2	1	no	—
807	C₂²×C₈₉	—	2	1	no	—
808	C₂²×C₈₉	—	2	1	no	—
809	C₂²×C₈₉	—	2	1	no	—
810	C₂²×C₈₉	—	2	1	no	—
811	C₂²×C₈₉	—	2	1	no	—
812	C₂²×C₈₉	—	2	1	no	—
813	C₂²×C₈₉	—	2	1	no	—
814	C₂²×C₈₉	—	2	1	no	—
815	C₂²×C₈₉	—	4	1	no	—
816	C₂²×C₈₉	—	4	1	no	—
817	C₂²×C₈₉	—	4	1	no	—
818	C₂²×C₈₉	—	4	1	no	—
819	C₂²×C₈₉	—	4	1	no	—
820	C₂²×C₈₉	—	4	1	no	—
821	C₂²×C₈₉	—	4	1	no	—
822	C₂²×C₈₉	—	4	1	no	—
823	C₂²×C₈₉	—	4	1	no	—
824	C₂²×C₈₉	—	4	1	no	—
825	C₂²×C₈₉	—	4	1	no	—
826	C₂²×C₈₉	—	4	1	no	—
827	C₂²×C₈₉	—	4	1	no	—
828	C₂²×C₈₉	—	4	1	no	—
829	C₂²×C₈₉	—	4	1	no	—
830	C₂²×C₈₉	—	4	1	no	—
831	C₂²×C₈₉	—	4	1	no	—
832	C₂²×C₈₉	—	4	1	no	—
833	C₂²×C₈₉	—	16	2	no	—
834	C₂²×C₈₉	—	16	2	no	—
835	C₂²×C₈₉	—	16	2	no	—
836	C₂²×C₈₉	—	16	2	no	—
837	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
838	C₄×C₈₉	—	2	1	no	—
839	C₄×C₈₉	—	2	1	no	—
840	C₄×C₈₉	—	2	1	no	—
841	C₄×C₈₉	—	2	1	no	—
842	C₄×C₈₉	—	2	1	no	—
843	C₄×C₈₉	—	2	1	no	—
844	C₄×C₈₉	—	2	1	no	—
845	C₄×C₈₉	—	2	1	no	—
846	C₄×C₈₉	—	2	1	no	—
847	C₄×C₈₉	—	2	1	no	—
848	C₄×C₈₉	—	2	1	no	—
849	C₄×C₈₉	—	4	1	no	—
850	C₄×C₈₉	—	4	1	no	—
851	C₄×C₈₉	—	4	1	no	—
852	C₄×C₈₉	—	4	1	no	—
853	C₄×C₈₉	—	4	1	no	—
854	C₄×C₈₉	—	4	1	no	—
855	C₄×C₈₉	—	4	1	no	—
856	C₄×C₈₉	—	4	1	no	—
857	C₄×C₈₉	—	4	1	no	—
858	C₄×C₈₉	—	4	1	no	—
859	C₄×C₈₉	#585	1	1	yes	characteristic
860	C₄×C₈₉	#585	1	1	yes	characteristic
861	#62564	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
862	C₂×C₈₉	—	4	1	no	—
863	C₂×C₈₉	—	4	1	no	—
864	C₂×C₈₉	—	4	1	no	—
865	C₂×C₈₉	—	8	1	no	—
866	C₂×C₈₉	—	8	1	no	—
867	C₂×C₈₉	—	8	1	no	—
868	C₂×C₈₉	—	8	1	no	—
869	C₂×C₈₉	—	8	1	no	—
870	C₂×C₈₉	—	8	1	no	—
871	C₂×C₈₉	#3500	1	1	yes	characteristic
872	C₂×C₈₉	#3585	1	1	yes	characteristic
873	C₂×C₈₉	#3585	1	1	yes	characteristic
874	#3565	C₂×C₈₉	1	1	yes	characteristic, complemented
875	#3543	C₂×C₈₉	1	1	yes	characteristic, complemented
876	#3371	C₂×C₈₉	1	1	yes	characteristic, complemented
877	#3370	C₂×C₈₉	1	1	yes	characteristic, complemented
878	#3368	C₂×C₈₉	1	1	yes	characteristic, complemented
879	#3366	C₂×C₈₉	1	1	yes	characteristic, complemented
880	#3325	C₂×C₈₉	1	1	yes	characteristic, complemented
881	#3324	C₂×C₈₉	1	1	yes	characteristic, complemented
882	#3323	C₂×C₈₉	1	1	yes	characteristic, complemented
883	#3322	C₂×C₈₉	1	1	yes	characteristic, complemented
884	#3319	C₂×C₈₉	1	1	yes	characteristic, complemented
885	#3318	C₂×C₈₉	1	1	yes	characteristic, complemented
886	#3318	C₂×C₈₉	1	1	yes	characteristic, complemented
887	#3317	C₂×C₈₉	1	1	yes	characteristic, complemented
888	#3311	C₂×C₈₉	1	1	yes	characteristic, complemented
889	#3310	C₂×C₈₉	1	1	yes	characteristic, complemented
890	#3310	C₂×C₈₉	1	1	yes	characteristic, complemented
891	#3309	C₂×C₈₉	1	1	yes	characteristic, complemented
892	#3241	C₂×C₈₉	1	1	yes	characteristic, complemented
893	#3241	C₂×C₈₉	1	1	yes	characteristic, complemented
894	#3240	C₂×C₈₉	1	1	yes	characteristic, complemented
895	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
896	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
897	#3217	C₂×C₈₉	1	1	yes	characteristic, complemented
898	#3183	C₂×C₈₉	1	1	yes	characteristic, complemented
899	#3179	C₂×C₈₉	1	1	yes	characteristic, complemented
900	#3179	C₂×C₈₉	1	1	yes	characteristic, complemented
901	#3138	C₂×C₈₉	1	1	yes	characteristic, complemented
902	#3136	C₂×C₈₉	1	1	yes	characteristic, complemented
903	#3136	C₂×C₈₉	1	1	yes	characteristic, complemented
904	#2967	C₂×C₈₉	1	1	yes	characteristic, complemented
905	C₈₉	#62564	1	1	yes	characteristic, direct product factor, Sylow
906	#563	—	2	1	no	—
907	#562	—	2	1	no	—
908	#560	—	2	1	no	—
909	#560	—	2	1	no	—
910	#559	C₂²×C₈₉	1	1	yes	characteristic
911	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
912	#556	—	2	1	no	—
913	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
914	#555	C₂²×C₈₉	1	1	yes	characteristic, complemented
915	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
916	#553	C₂²×C₈₉	1	1	yes	characteristic, complemented
917	#553	C₂²×C₈₉	1	1	yes	characteristic, complemented
918	#552	—	2	1	no	—
919	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
920	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
921	#550	C₂²×C₈₉	1	1	yes	characteristic
922	#550	C₂²×C₈₉	1	1	yes	characteristic
923	#546	—	2	1	no	—
924	#546	C₂²×C₈₉	1	1	yes	characteristic
925	#546	C₂²×C₈₉	1	1	yes	characteristic
926	D₄²	—	2	1	no	—
927	D₄²	C₂²×C₈₉	1	1	yes	characteristic
928	D₄²	C₂²×C₈₉	1	1	yes	characteristic
929	D₄²	C₂²×C₈₉	1	1	yes	characteristic
930	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
931	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
932	#542	—	2	1	no	—
933	#542	—	2	1	no	—
934	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
935	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
936	#541	—	2	1	no	—
937	#540	—	2	1	no	—
938	#540	C₂²×C₈₉	1	1	yes	characteristic
939	#540	C₂²×C₈₉	1	1	yes	characteristic
940	#539	—	2	1	no	—
941	#535	—	2	1	no	—
942	#535	C₂²×C₈₉	1	1	yes	characteristic
943	#535	C₂²×C₈₉	1	1	yes	characteristic
944	#534	—	2	1	no	—
945	#534	—	2	1	no	—
946	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
947	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic
948	#529	C₂²×C₈₉	1	1	yes	characteristic
949	#529	C₂²×C₈₉	1	1	yes	characteristic
950	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
951	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
952	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
953	#499	C₂²×C₈₉	1	1	yes	characteristic, complemented
954	#496	C₂²×C₈₉	1	1	yes	characteristic, complemented
955	#496	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#495	C₂²×C₈₉	1	1	yes	characteristic, complemented
957	#490	C₂²×C₈₉	1	1	yes	characteristic
958	#490	C₂²×C₈₉	1	1	yes	characteristic
959	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
960	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
961	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
962	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
963	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
964	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
965	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
966	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
967	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
968	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
969	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
972	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
973	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
974	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
975	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
976	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
978	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
979	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#482	C₂²×C₈₉	1	1	yes	characteristic
982	#482	C₂²×C₈₉	1	1	yes	characteristic
983	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
984	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
985	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	#481	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	#481	C₂²×C₈₉	1	1	yes	characteristic, complemented
989	#480	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	#480	C₂²×C₈₉	1	1	yes	characteristic, complemented
991	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
992	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
993	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
994	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
995	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
996	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
997	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
998	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
999	#476	C₂²×C₈₉	1	1	yes	characteristic, complemented
1000	#476	C₂²×C₈₉	1	1	yes	characteristic, complemented
1001	#474	C₂²×C₈₉	1	1	yes	characteristic, complemented
1002	#474	C₂²×C₈₉	1	1	yes	characteristic, complemented
1003	#470	C₂²×C₈₉	1	1	yes	characteristic, complemented
1004	#469	C₂²×C₈₉	1	1	yes	characteristic
1005	#469	C₂²×C₈₉	1	1	yes	characteristic, complemented
1006	#469	C₂²×C₈₉	1	1	yes	characteristic, complemented
1007	#468	C₂²×C₈₉	1	1	yes	characteristic
1008	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
1009	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
1011	#466	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#466	C₂²×C₈₉	1	1	yes	characteristic, complemented
1013	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
1014	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
1015	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1016	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1017	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1018	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1019	#460	C₂²×C₈₉	1	1	yes	characteristic
1020	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
1021	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
1022	#460	C₂²×C₈₉	1	1	yes	characteristic, complemented
1023	#459	C₂²×C₈₉	1	1	yes	characteristic
1024	#459	C₂²×C₈₉	1	1	yes	characteristic, complemented
1025	#459	C₂²×C₈₉	1	1	yes	characteristic, complemented
1026	#459	C₂²×C₈₉	1	1	yes	characteristic, complemented
1027	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1028	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1029	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1030	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1031	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1032	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1033	#449	C₂²×C₈₉	1	1	yes	characteristic, complemented
1034	#449	C₂²×C₈₉	1	1	yes	characteristic, complemented
1035	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1036	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1037	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1038	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1039	#446	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	#446	C₂²×C₈₉	1	1	yes	characteristic, complemented
1041	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1042	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1043	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1044	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1045	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1046	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1047	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1048	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1049	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1050	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1051	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1052	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1053	#436	C₂²×C₈₉	1	1	yes	characteristic, complemented
1054	#436	C₂²×C₈₉	1	1	yes	characteristic, complemented
1055	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1056	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1057	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1058	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1059	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1060	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1061	#432	C₂²×C₈₉	1	1	yes	characteristic, complemented
1062	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1063	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1064	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1065	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1066	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1067	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1068	#417	C₂²×C₈₉	1	1	yes	characteristic, complemented
1069	#417	C₂²×C₈₉	1	1	yes	characteristic, complemented
1070	#416	C₂²×C₈₉	1	1	yes	characteristic, complemented
1071	#416	C₂²×C₈₉	1	1	yes	characteristic, complemented
1072	C₂×#102	C₂²×C₈₉	1	1	yes	characteristic, complemented
1073	C₂×#102	C₂²×C₈₉	1	1	yes	characteristic, complemented
1074	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1075	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1076	C₄×M₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1077	C₂×#41	—	2	1	no	—
1078	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1079	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂²×D₄	—	2	1	no	—
1081	C₂²×D₄	—	2	1	no	—
1082	C₂²×D₄	—	2	1	no	—
1083	C₂²×D₄	—	2	1	no	—
1084	C₂²×D₄	—	2	1	no	—
1085	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1087	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1088	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1089	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1096	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1097	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1098	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1099	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1100	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1101	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1102	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1103	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1104	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1105	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1106	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1107	C₄⋊Q₈	—	2	1	no	—
1108	C₄⋊Q₈	—	2	1	no	—
1109	C₄⋊Q₈	—	2	1	no	—
1110	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1111	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1112	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1113	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1114	#127	—	2	1	no	—
1115	#127	—	2	1	no	—
1116	#127	—	2	1	no	—
1117	#127	C₂³×C₈₉	1	1	yes	characteristic
1118	#127	C₂³×C₈₉	1	1	yes	characteristic
1119	#127	C₂³×C₈₉	1	1	yes	characteristic
1120	#127	C₂³×C₈₉	1	1	yes	characteristic
1121	#127	C₂³×C₈₉	1	1	yes	characteristic
1122	#127	C₂³×C₈₉	1	1	yes	characteristic
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	—	2	1	no	—
1133	#126	D₄×C₈₉	1	1	yes	characteristic
1134	#126	D₄×C₈₉	1	1	yes	characteristic
1135	#125	—	2	1	no	—
1136	#125	—	2	1	no	—
1137	#125	—	2	1	no	—
1138	#125	—	2	1	no	—
1139	#125	—	2	1	no	—
1140	#125	—	2	1	no	—
1141	#125	D₄×C₈₉	1	1	yes	characteristic
1142	#125	C₂³×C₈₉	1	1	yes	characteristic
1143	#125	C₂³×C₈₉	1	1	yes	characteristic
1144	#125	C₂³×C₈₉	1	1	yes	characteristic
1145	#125	C₂³×C₈₉	1	1	yes	characteristic
1146	#125	C₂³×C₈₉	1	1	yes	characteristic
1147	#125	C₂³×C₈₉	1	1	yes	characteristic
1148	#124	—	2	1	no	—
1149	#124	—	2	1	no	—
1150	#124	—	2	1	no	—
1151	#124	—	2	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	2	1	no	—
1154	#124	D₄×C₈₉	1	1	yes	characteristic
1155	#124	C₂³×C₈₉	1	1	yes	characteristic
1156	#124	C₂³×C₈₉	1	1	yes	characteristic
1157	#124	C₂³×C₈₉	1	1	yes	characteristic
1158	#124	C₂³×C₈₉	1	1	yes	characteristic
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	—	2	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	2	1	no	—
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	D₄×C₈₉	1	1	yes	characteristic
1176	#123	D₄×C₈₉	1	1	yes	characteristic
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	—	2	1	no	—
1179	C₂²⋊Q₈	—	2	1	no	—
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
1189	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1190	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1191	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1192	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	—	2	1	no	—
1198	#121	—	2	1	no	—
1199	#121	—	2	1	no	—
1200	#121	—	2	1	no	—
1201	#121	—	2	1	no	—
1202	#121	—	2	1	no	—
1203	#121	—	2	1	no	—
1204	#121	—	2	1	no	—
1205	#121	—	2	1	no	—
1206	#121	—	2	1	no	—
1207	#121	—	2	1	no	—
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	D₄×C₈₉	1	1	yes	characteristic
1215	#121	C₂³×C₈₉	1	1	yes	characteristic
1216	#121	C₂³×C₈₉	1	1	yes	characteristic
1217	#121	C₂³×C₈₉	1	1	yes	characteristic
1218	#121	C₂³×C₈₉	1	1	yes	characteristic
1219	#121	C₂³×C₈₉	1	1	yes	characteristic
1220	#121	C₂³×C₈₉	1	1	yes	characteristic
1221	#121	C₂³×C₈₉	1	1	yes	characteristic
1222	#121	C₂³×C₈₉	1	1	yes	characteristic
1223	#120	—	2	1	no	—
1224	#120	—	2	1	no	—
1225	#120	—	2	1	no	—
1226	#120	—	2	1	no	—
1227	#120	—	2	1	no	—
1228	#120	—	2	1	no	—
1229	#120	—	2	1	no	—
1230	#120	—	2	1	no	—
1231	#120	—	2	1	no	—
1232	#120	—	2	1	no	—
1233	#120	—	2	1	no	—
1234	#120	—	2	1	no	—
1235	C₄×Q₈	—	2	1	no	—
1236	C₄×Q₈	—	2	1	no	—
1237	C₄×Q₈	—	2	1	no	—
1238	C₄×Q₈	—	2	1	no	—
1239	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1240	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1243	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1260	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	C₂³×C₈₉	1	1	yes	characteristic
1267	#117	C₂³×C₈₉	1	1	yes	characteristic
1268	#117	C₂³×C₈₉	1	1	yes	characteristic
1269	#117	C₂³×C₈₉	1	1	yes	characteristic
1270	#117	C₂³×C₈₉	1	1	yes	characteristic
1271	#117	C₂³×C₈₉	1	1	yes	characteristic
1272	C₂×C₄⋊C₄	—	2	1	no	—
1273	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1274	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1275	C₂×C₂²⋊C₄	—	2	1	no	—
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1278	#107	C₂³×C₈₉	1	1	yes	characteristic
1279	#107	C₂³×C₈₉	1	1	yes	characteristic
1280	#107	C₂³×C₈₉	1	1	yes	characteristic
1281	#107	C₂³×C₈₉	1	1	yes	characteristic
1282	#107	C₂³×C₈₉	1	1	yes	characteristic
1283	#107	C₂³×C₈₉	1	1	yes	characteristic
1284	#106	C₂³×C₈₉	1	1	yes	characteristic
1285	#106	C₂³×C₈₉	1	1	yes	characteristic
1286	#106	C₂³×C₈₉	1	1	yes	characteristic
1287	#106	C₂³×C₈₉	1	1	yes	characteristic
1288	#106	C₂³×C₈₉	1	1	yes	characteristic
1289	#106	C₂³×C₈₉	1	1	yes	characteristic
1290	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1291	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1295	C₄⋊C₈	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	#103	C₂³×C₈₉	1	1	yes	characteristic
1300	#103	C₂³×C₈₉	1	1	yes	characteristic
1301	#103	C₂³×C₈₉	1	1	yes	characteristic
1302	#103	C₂³×C₈₉	1	1	yes	characteristic
1303	#103	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	#102	C₂³×C₈₉	1	1	yes	characteristic
1320	#102	C₂³×C₈₉	1	1	yes	characteristic
1321	#102	C₂³×C₈₉	1	1	yes	characteristic
1322	#102	C₂³×C₈₉	1	1	yes	characteristic
1323	#102	C₂³×C₈₉	1	1	yes	characteristic
1324	#102	C₂³×C₈₉	1	1	yes	characteristic
1325	#102	C₂³×C₈₉	1	1	yes	characteristic
1326	#102	C₂³×C₈₉	1	1	yes	characteristic
1327	#102	C₂³×C₈₉	1	1	yes	characteristic
1328	#102	C₂³×C₈₉	1	1	yes	characteristic
1329	#102	C₂³×C₈₉	1	1	yes	characteristic
1330	#102	C₂³×C₈₉	1	1	yes	characteristic
1331	#102	C₂³×C₈₉	1	1	yes	characteristic
1332	#102	C₂³×C₈₉	1	1	yes	characteristic
1333	#102	C₂³×C₈₉	1	1	yes	characteristic
1334	#102	C₂³×C₈₉	1	1	yes	characteristic
1335	#102	C₂³×C₈₉	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1340	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1341	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1342	#97	C₂³×C₈₉	1	1	yes	characteristic
1343	#97	C₂³×C₈₉	1	1	yes	characteristic
1344	#97	C₂³×C₈₉	1	1	yes	characteristic
1345	#97	C₂³×C₈₉	1	1	yes	characteristic
1346	#97	C₂³×C₈₉	1	1	yes	characteristic
1347	#97	C₂³×C₈₉	1	1	yes	characteristic
1348	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1349	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1350	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1351	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1352	C₂⁴	—	2	1	no	—
1353	C₂⁴	—	2	1	no	—
1354	C₂⁴	—	2	1	no	—
1355	C₂⁴	—	2	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	4	1	no	—
1358	#41	—	4	1	no	—
1359	#41	—	4	1	no	—
1360	#41	—	8	2	no	—
1361	C₂×Q₈	—	2	1	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	2	1	no	—
1365	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
1366	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1367	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	4	1	no	—
1395	C₂×D₄	—	4	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	4	1	no	—
1398	C₂×D₄	—	4	1	no	—
1399	C₂×D₄	—	4	1	no	—
1400	C₂×D₄	—	4	1	no	—
1401	C₂×D₄	—	4	1	no	—
1402	C₂×D₄	—	8	2	no	—
1403	C₂×D₄	—	8	2	no	—
1404	C₂×D₄	—	8	2	no	—
1405	C₂×D₄	—	8	2	no	—
1406	C₂×D₄	—	8	2	no	—
1407	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1408	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1409	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1410	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1411	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1412	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1413	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1414	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1415	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	2	1	no	—
1419	C₂²×C₄	—	2	1	no	—
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1429	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1433	Q₁₆	—	4	1	no	—
1434	SD₁₆	—	4	1	no	—
1435	SD₁₆	—	4	1	no	—
1436	SD₁₆	—	4	1	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	4	1	no	—
1440	D₈	—	4	1	no	—
1441	D₈	—	4	1	no	—
1442	D₈	—	4	1	no	—
1443	D₈	—	4	1	no	—
1444	D₈	—	4	1	no	—
1445	M₁₆	—	4	1	no	—
1446	M₁₆	—	4	1	no	—
1447	M₁₆	—	4	1	no	—
1448	M₁₆	—	4	1	no	—
1449	C₂×C₈	—	4	1	no	—
1450	C₂×C₈	—	4	1	no	—
1451	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1452	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1453	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1454	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1455	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1456	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1457	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1458	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1495	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1496	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1497	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1498	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1500	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
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	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1554	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1559	C₂³	—	2	1	no	—
1560	C₂³	—	2	1	no	—
1561	C₂³	—	2	1	no	—
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	4	2	no	—
1566	C₂³	—	4	2	no	—
1567	C₂³	—	8	1	no	—
1568	C₂³	—	8	1	no	—
1569	C₂³	—	8	1	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	—	8	1	no	—
1572	C₂³	—	8	1	no	—
1573	C₂³	—	8	1	no	—
1574	C₂³	—	8	1	no	—
1575	C₂³	—	8	1	no	—
1576	C₂³	—	8	1	no	—
1577	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1578	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1579	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	4	1	no	—
1585	Q₈	—	8	1	no	—
1586	Q₈	—	8	1	no	—
1587	Q₈	—	8	1	no	—
1588	Q₈	—	8	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	4	2	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	4	1	no	—
1647	C₂×C₄	—	4	1	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1661	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1662	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1663	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1664	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1665	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1666	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1667	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1668	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1669	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1670	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	2	1	no	—
1677	C₈	—	2	1	no	—
1678	C₈	—	2	1	no	—
1679	C₈	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	16	2	no	—
1708	C₂²	—	16	2	no	—
1709	C₂²	—	16	2	no	—
1710	C₂²	—	16	2	no	—
1711	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	—	4	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	#585×C₈₉	1	1	yes	characteristic
1734	C₄	#585×C₈₉	1	1	yes	characteristic
1735	C₂	—	4	1	no	—
1736	C₂	—	4	1	no	—
1737	C₂	—	4	1	no	—
1738	C₂	—	8	1	no	—
1739	C₂	—	8	1	no	—
1740	C₂	—	8	1	no	—
1741	C₂	—	8	1	no	—
1742	C₂	—	8	1	no	—
1743	C₂	—	8	1	no	—
1744	C₂	C₈₉×#3500	1	1	yes	characteristic
1745	C₂	C₈₉×#3585	1	1	yes	characteristic
1746	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 ◁ #529×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3565	C₂	semidirect
2. C₈₉×#3543	C₂	semidirect
3. C₈₉×#3371	C₂	semidirect
4. C₈₉×#3370	C₂	semidirect
5. C₈₉×#3368	C₂	semidirect
6. C₈₉×#3366	C₂	semidirect
7. C₈₉×#3325	C₂	semidirect
8. C₈₉×#3324	C₂	semidirect
9. C₈₉×#3323	C₂	semidirect
10. C₈₉×#3322	C₂	semidirect
11. C₈₉×#3319	C₂	semidirect
12. C₈₉×#3318	C₂	semidirect
13. C₈₉×#3318	C₂	semidirect
14. C₈₉×#3317	C₂	semidirect
15. C₈₉×#3311	C₂	semidirect
16. C₈₉×#3310	C₂	semidirect
17. C₈₉×#3310	C₂	semidirect
18. C₈₉×#3309	C₂	semidirect
19. C₈₉×#3241	C₂	semidirect
20. C₈₉×#3241	C₂	semidirect
21. C₈₉×#3240	C₂	semidirect
22. C₈₉×#3224	C₂	semidirect
23. C₈₉×#3224	C₂	semidirect
24. C₈₉×#3217	C₂	semidirect
25. C₈₉×#3183	C₂	semidirect
26. C₈₉×#3179	C₂	semidirect
27. C₈₉×#3179	C₂	semidirect
28. C₈₉×#3138	C₂	semidirect
29. C₈₉×#3136	C₂	semidirect
30. C₈₉×#3136	C₂	semidirect
31. C₈₉×#2967	C₂	semidirect
37. #557×C₈₉	C₂²	semidirect
39. #556×C₈₉	C₂²	semidirect
40. #555×C₈₉	C₂²	semidirect
41. #554×C₈₉	C₂²	semidirect
42. #553×C₈₉	C₂²	semidirect
43. #553×C₈₉	C₂²	semidirect
45. #552×C₈₉	C₂²	semidirect
46. #552×C₈₉	C₂²	semidirect
56. #544×C₈₉	C₂²	semidirect
57. #544×C₈₉	C₂²	semidirect
60. #542×C₈₉	C₂²	semidirect
61. #542×C₈₉	C₂²	semidirect
72. #533×C₈₉	C₂²	semidirect
76. #529×C₈₉	C₂²	semidirect
77. #501×C₈₉	C₂²	semidirect
78. #501×C₈₉	C₂²	semidirect
79. #499×C₈₉	C₂²	semidirect
80. #496×C₈₉	C₂²	semidirect
81. #496×C₈₉	C₂²	semidirect
82. #495×C₈₉	C₂²	semidirect
85. #490×C₈₉	C₂²	semidirect
86. #490×C₈₉	C₂²	semidirect
87. #490×C₈₉	C₂²	semidirect
88. #490×C₈₉	C₂²	semidirect
89. #490×C₈₉	C₂²	semidirect
90. #490×C₈₉	C₂²	semidirect
91. #489×C₈₉	C₂²	semidirect
92. #489×C₈₉	C₂²	semidirect
93. #489×C₈₉	C₂²	semidirect
94. #489×C₈₉	C₂²	semidirect
95. #488×C₈₉	C₂²	semidirect
96. #488×C₈₉	C₂²	semidirect
97. #488×C₈₉	C₂²	semidirect
98. #488×C₈₉	C₂²	semidirect
99. #486×C₈₉	C₂²	semidirect
100. #486×C₈₉	C₂²	semidirect
101. #486×C₈₉	C₂²	semidirect
102. #486×C₈₉	C₂²	semidirect
103. #486×C₈₉	C₂²	semidirect
104. #486×C₈₉	C₂²	semidirect
105. #485×C₈₉	C₂²	semidirect
106. #485×C₈₉	C₂²	semidirect
109. #482×C₈₉	C₂²	semidirect
110. #482×C₈₉	C₂²	semidirect
111. #482×C₈₉	C₂²	semidirect
112. #482×C₈₉	C₂²	semidirect
113. #481×C₈₉	C₂²	semidirect
114. #481×C₈₉	C₂²	semidirect
115. #480×C₈₉	C₂²	semidirect
116. #480×C₈₉	C₂²	semidirect
117. #479×C₈₉	C₂²	semidirect
118. #479×C₈₉	C₂²	semidirect
119. #478×C₈₉	C₂²	semidirect
120. #478×C₈₉	C₂²	semidirect
121. #478×C₈₉	C₂²	semidirect
122. #478×C₈₉	C₂²	semidirect
123. #478×C₈₉	C₂²	semidirect
124. #478×C₈₉	C₂²	semidirect
125. #476×C₈₉	C₂²	semidirect
126. #476×C₈₉	C₂²	semidirect
127. #474×C₈₉	C₂²	semidirect
128. #474×C₈₉	C₂²	semidirect
129. #470×C₈₉	C₂²	semidirect
131. #469×C₈₉	C₂²	semidirect
132. #469×C₈₉	C₂²	semidirect
134. #468×C₈₉	C₂²	semidirect
135. #468×C₈₉	C₂²	semidirect
136. #468×C₈₉	C₂²	semidirect
137. #466×C₈₉	C₂²	semidirect
138. #466×C₈₉	C₂²	semidirect
139. #465×C₈₉	C₂²	semidirect
140. #465×C₈₉	C₂²	semidirect
141. #464×C₈₉	C₂²	semidirect
142. #464×C₈₉	C₂²	semidirect
143. #463×C₈₉	C₂²	semidirect
144. #463×C₈₉	C₂²	semidirect
146. #460×C₈₉	C₂²	semidirect
147. #460×C₈₉	C₂²	semidirect
148. #460×C₈₉	C₂²	semidirect
150. #459×C₈₉	C₂²	semidirect
151. #459×C₈₉	C₂²	semidirect
152. #459×C₈₉	C₂²	semidirect
153. #452×C₈₉	C₂²	semidirect
154. #452×C₈₉	C₂²	semidirect
155. #450×C₈₉	C₂²	semidirect
156. #450×C₈₉	C₂²	semidirect
157. #450×C₈₉	C₂²	semidirect
158. #450×C₈₉	C₂²	semidirect
159. #449×C₈₉	C₂²	semidirect
160. #449×C₈₉	C₂²	semidirect
161. #447×C₈₉	C₂²	semidirect
162. #447×C₈₉	C₂²	semidirect
163. #447×C₈₉	C₂²	semidirect
164. #447×C₈₉	C₂²	semidirect
165. #446×C₈₉	C₂²	semidirect
166. #446×C₈₉	C₂²	semidirect
167. #442×C₈₉	C₂²	semidirect
168. #442×C₈₉	C₂²	semidirect
169. #442×C₈₉	C₂²	semidirect
170. #441×C₈₉	C₂²	semidirect
171. #440×C₈₉	C₂²	semidirect
172. #440×C₈₉	C₂²	semidirect
173. #440×C₈₉	C₂²	semidirect
174. #440×C₈₉	C₂²	semidirect
175. C₄×SD₁₆×C₈₉	C₂²	semidirect
176. C₄×SD₁₆×C₈₉	C₂²	semidirect
177. C₄×D₈×C₈₉	C₂²	semidirect
178. C₄×D₈×C₈₉	C₂²	semidirect
179. #436×C₈₉	C₂²	semidirect
180. #436×C₈₉	C₂²	semidirect
181. #435×C₈₉	C₂²	semidirect
182. #435×C₈₉	C₂²	semidirect
183. #435×C₈₉	C₂²	semidirect
184. #435×C₈₉	C₂²	semidirect
185. #433×C₈₉	C₂²	semidirect
186. #433×C₈₉	C₂²	semidirect
187. #432×C₈₉	C₂²	semidirect
188. #418×C₈₉	C₂²	semidirect
189. #418×C₈₉	C₂²	semidirect
190. #418×C₈₉	C₂²	semidirect
191. #418×C₈₉	C₂²	semidirect
192. #418×C₈₉	C₂²	semidirect
193. #418×C₈₉	C₂²	semidirect
194. #417×C₈₉	C₂²	semidirect
195. #417×C₈₉	C₂²	semidirect
196. #416×C₈₉	C₂²	semidirect
197. #416×C₈₉	C₂²	semidirect
198. C₂×#102×C₈₉	C₂²	semidirect
199. C₂×#102×C₈₉	C₂²	semidirect
200. #405×C₈₉	C₂²	semidirect
201. #405×C₈₉	C₂²	semidirect
202. C₄×M₁₆×C₈₉	C₂²	semidirect
861. #62564	C₈₉	direct (N × H)
874. #3565	C₂×C₈₉	semidirect
875. #3543	C₂×C₈₉	semidirect
876. #3371	C₂×C₈₉	semidirect
877. #3370	C₂×C₈₉	semidirect
878. #3368	C₂×C₈₉	semidirect
879. #3366	C₂×C₈₉	semidirect
880. #3325	C₂×C₈₉	semidirect
881. #3324	C₂×C₈₉	semidirect
882. #3323	C₂×C₈₉	semidirect
883. #3322	C₂×C₈₉	semidirect
884. #3319	C₂×C₈₉	semidirect
885. #3318	C₂×C₈₉	semidirect
886. #3318	C₂×C₈₉	semidirect
887. #3317	C₂×C₈₉	semidirect
888. #3311	C₂×C₈₉	semidirect
889. #3310	C₂×C₈₉	semidirect
890. #3310	C₂×C₈₉	semidirect
891. #3309	C₂×C₈₉	semidirect
892. #3241	C₂×C₈₉	semidirect
893. #3241	C₂×C₈₉	semidirect
894. #3240	C₂×C₈₉	semidirect
895. #3224	C₂×C₈₉	semidirect
896. #3224	C₂×C₈₉	semidirect
897. #3217	C₂×C₈₉	semidirect
898. #3183	C₂×C₈₉	semidirect
899. #3179	C₂×C₈₉	semidirect
900. #3179	C₂×C₈₉	semidirect
901. #3138	C₂×C₈₉	semidirect
902. #3136	C₂×C₈₉	semidirect
903. #3136	C₂×C₈₉	semidirect
904. #2967	C₂×C₈₉	semidirect
905. C₈₉	#62564	direct (N × H)
911. #557	C₂²×C₈₉	semidirect
913. #556	C₂²×C₈₉	semidirect
914. #555	C₂²×C₈₉	semidirect
915. #554	C₂²×C₈₉	semidirect
916. #553	C₂²×C₈₉	semidirect
917. #553	C₂²×C₈₉	semidirect
919. #552	C₂²×C₈₉	semidirect
920. #552	C₂²×C₈₉	semidirect
930. #544	C₂²×C₈₉	semidirect
931. #544	C₂²×C₈₉	semidirect
934. #542	C₂²×C₈₉	semidirect
935. #542	C₂²×C₈₉	semidirect
946. #533	C₂²×C₈₉	semidirect
950. #529	C₂²×C₈₉	semidirect
951. #501	C₂²×C₈₉	semidirect
952. #501	C₂²×C₈₉	semidirect
953. #499	C₂²×C₈₉	semidirect
954. #496	C₂²×C₈₉	semidirect
955. #496	C₂²×C₈₉	semidirect
956. #495	C₂²×C₈₉	semidirect
959. #490	C₂²×C₈₉	semidirect
960. #490	C₂²×C₈₉	semidirect
961. #490	C₂²×C₈₉	semidirect
962. #490	C₂²×C₈₉	semidirect
963. #490	C₂²×C₈₉	semidirect
964. #490	C₂²×C₈₉	semidirect
965. #489	C₂²×C₈₉	semidirect
966. #489	C₂²×C₈₉	semidirect
967. #489	C₂²×C₈₉	semidirect
968. #489	C₂²×C₈₉	semidirect
969. #488	C₂²×C₈₉	semidirect
970. #488	C₂²×C₈₉	semidirect
971. #488	C₂²×C₈₉	semidirect
972. #488	C₂²×C₈₉	semidirect
973. #486	C₂²×C₈₉	semidirect
974. #486	C₂²×C₈₉	semidirect
975. #486	C₂²×C₈₉	semidirect
976. #486	C₂²×C₈₉	semidirect
977. #486	C₂²×C₈₉	semidirect
978. #486	C₂²×C₈₉	semidirect
979. #485	C₂²×C₈₉	semidirect
980. #485	C₂²×C₈₉	semidirect
983. #482	C₂²×C₈₉	semidirect
984. #482	C₂²×C₈₉	semidirect
985. #482	C₂²×C₈₉	semidirect
986. #482	C₂²×C₈₉	semidirect
987. #481	C₂²×C₈₉	semidirect
988. #481	C₂²×C₈₉	semidirect
989. #480	C₂²×C₈₉	semidirect
990. #480	C₂²×C₈₉	semidirect
991. #479	C₂²×C₈₉	semidirect
992. #479	C₂²×C₈₉	semidirect
993. #478	C₂²×C₈₉	semidirect
994. #478	C₂²×C₈₉	semidirect
995. #478	C₂²×C₈₉	semidirect
996. #478	C₂²×C₈₉	semidirect
997. #478	C₂²×C₈₉	semidirect
998. #478	C₂²×C₈₉	semidirect
999. #476	C₂²×C₈₉	semidirect
1000. #476	C₂²×C₈₉	semidirect
1001. #474	C₂²×C₈₉	semidirect
1002. #474	C₂²×C₈₉	semidirect
1003. #470	C₂²×C₈₉	semidirect
1005. #469	C₂²×C₈₉	semidirect
1006. #469	C₂²×C₈₉	semidirect
1008. #468	C₂²×C₈₉	semidirect
1009. #468	C₂²×C₈₉	semidirect
1010. #468	C₂²×C₈₉	semidirect
1011. #466	C₂²×C₈₉	semidirect
1012. #466	C₂²×C₈₉	semidirect
1013. #465	C₂²×C₈₉	semidirect
1014. #465	C₂²×C₈₉	semidirect
1015. #464	C₂²×C₈₉	semidirect
1016. #464	C₂²×C₈₉	semidirect
1017. #463	C₂²×C₈₉	semidirect
1018. #463	C₂²×C₈₉	semidirect
1020. #460	C₂²×C₈₉	semidirect
1021. #460	C₂²×C₈₉	semidirect
1022. #460	C₂²×C₈₉	semidirect
1024. #459	C₂²×C₈₉	semidirect
1025. #459	C₂²×C₈₉	semidirect
1026. #459	C₂²×C₈₉	semidirect
1027. #452	C₂²×C₈₉	semidirect
1028. #452	C₂²×C₈₉	semidirect
1029. #450	C₂²×C₈₉	semidirect
1030. #450	C₂²×C₈₉	semidirect
1031. #450	C₂²×C₈₉	semidirect
1032. #450	C₂²×C₈₉	semidirect
1033. #449	C₂²×C₈₉	semidirect
1034. #449	C₂²×C₈₉	semidirect
1035. #447	C₂²×C₈₉	semidirect
1036. #447	C₂²×C₈₉	semidirect
1037. #447	C₂²×C₈₉	semidirect
1038. #447	C₂²×C₈₉	semidirect
1039. #446	C₂²×C₈₉	semidirect
1040. #446	C₂²×C₈₉	semidirect
1041. #442	C₂²×C₈₉	semidirect
1042. #442	C₂²×C₈₉	semidirect
1043. #442	C₂²×C₈₉	semidirect
1044. #441	C₂²×C₈₉	semidirect
1045. #440	C₂²×C₈₉	semidirect
1046. #440	C₂²×C₈₉	semidirect
1047. #440	C₂²×C₈₉	semidirect
1048. #440	C₂²×C₈₉	semidirect
1049. C₄×SD₁₆	C₂²×C₈₉	semidirect
1050. C₄×SD₁₆	C₂²×C₈₉	semidirect
1051. C₄×D₈	C₂²×C₈₉	semidirect
1052. C₄×D₈	C₂²×C₈₉	semidirect
1053. #436	C₂²×C₈₉	semidirect
1054. #436	C₂²×C₈₉	semidirect
1055. #435	C₂²×C₈₉	semidirect
1056. #435	C₂²×C₈₉	semidirect
1057. #435	C₂²×C₈₉	semidirect
1058. #435	C₂²×C₈₉	semidirect
1059. #433	C₂²×C₈₉	semidirect
1060. #433	C₂²×C₈₉	semidirect
1061. #432	C₂²×C₈₉	semidirect
1062. #418	C₂²×C₈₉	semidirect
1063. #418	C₂²×C₈₉	semidirect
1064. #418	C₂²×C₈₉	semidirect
1065. #418	C₂²×C₈₉	semidirect
1066. #418	C₂²×C₈₉	semidirect
1067. #418	C₂²×C₈₉	semidirect
1068. #417	C₂²×C₈₉	semidirect
1069. #417	C₂²×C₈₉	semidirect
1070. #416	C₂²×C₈₉	semidirect
1071. #416	C₂²×C₈₉	semidirect
1072. C₂×#102	C₂²×C₈₉	semidirect
1073. C₂×#102	C₂²×C₈₉	semidirect
1074. #405	C₂²×C₈₉	semidirect
1075. #405	C₂²×C₈₉	semidirect
1076. C₄×M₁₆	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×#3565	2
C₈₉×#3543	2
C₈₉×#3371	2
C₈₉×#3370	2
C₈₉×#3368	2
C₈₉×#3366	2
C₈₉×#3325	2
C₈₉×#3324	2
C₈₉×#3323	2
C₈₉×#3322	2
C₈₉×#3319	2
C₈₉×#3318	2
C₈₉×#3317	2
C₈₉×#3311	2
C₈₉×#3310	2
C₈₉×#3309	2
C₈₉×#3241	2
C₈₉×#3240	2
C₈₉×#3224	2
C₈₉×#3217	2
C₈₉×#3183	2
C₈₉×#3179	2
C₈₉×#3138	2
C₈₉×#3136	2
C₈₉×#2967	2
#62564	89

Subgroups — C89×#62564 #36440412

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62564 #36440412