Subgroups — C₈₉×#62925 #36440773

Order 22784.

7090 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3562	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3554	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3552	C₂	1	2	yes	maximal, complemented
4	C₈₉×#3548	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3547	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3546	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3542	C₂	1	4	yes	maximal, complemented
8	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3539	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3533	C₂	1	8	yes	maximal, complemented
11	C₈₉×#3520	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3517	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3511	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3509	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3506	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3499	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3495	C₂	1	2	yes	maximal, complemented
19	C₈₉×#3492	C₂	1	4	yes	maximal, complemented
20	C₈₉×#3489	C₂	1	2	yes	maximal, complemented
21	C₈₉×#3487	C₂	1	2	yes	maximal, complemented
22	C₈₉×#3475	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#41×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#547×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3449	C₂	1	2	yes	maximal, complemented
27	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	2	yes	complemented
28	C₂²×#41×C₈₉	C₂²	1	2	yes	—
29	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
30	#563×C₈₉	C₂²	1	8	yes	complemented
31	#562×C₈₉	C₂²	1	8	yes	complemented
32	#562×C₈₉	C₂²	1	8	yes	complemented
33	#562×C₈₉	C₂²	1	8	yes	complemented
34	#560×C₈₉	C₂²	1	8	yes	complemented
35	#560×C₈₉	C₂²	1	8	yes	complemented
36	#559×C₈₉	C₂²	1	8	yes	complemented
37	#559×C₈₉	C₂²	1	4	yes	complemented
38	#557×C₈₉	C₂²	1	2	yes	complemented
39	#557×C₈₉	C₂²	1	2	yes	complemented
40	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#556×C₈₉	C₂²	1	4	yes	complemented
42	#556×C₈₉	C₂²	1	2	yes	complemented
43	#556×C₈₉	C₂²	1	2	yes	complemented
44	#556×C₈₉	C₂²	1	2	yes	complemented
45	#555×C₈₉	C₂²	1	1	yes	characteristic, complemented
46	#555×C₈₉	C₂²	1	2	yes	complemented
47	#555×C₈₉	C₂²	1	4	yes	complemented
48	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
49	#554×C₈₉	C₂²	1	4	yes	complemented
50	#554×C₈₉	C₂²	1	8	yes	complemented
51	#554×C₈₉	C₂²	1	4	yes	complemented
52	#554×C₈₉	C₂²	1	4	yes	complemented
53	#553×C₈₉	C₂²	1	2	yes	complemented
54	#553×C₈₉	C₂²	1	4	yes	complemented
55	#553×C₈₉	C₂²	1	8	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	8	yes	complemented
60	#553×C₈₉	C₂²	1	8	yes	complemented
61	#552×C₈₉	C₂²	1	2	yes	complemented
62	#552×C₈₉	C₂²	1	2	yes	complemented
63	#552×C₈₉	C₂²	1	8	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	4	yes	complemented
68	#551×C₈₉	C₂²	1	4	yes	complemented
69	#551×C₈₉	C₂²	1	8	yes	complemented
70	#551×C₈₉	C₂²	1	8	yes	complemented
71	#550×C₈₉	C₂²	1	1	yes	characteristic, complemented
72	#550×C₈₉	C₂²	1	4	yes	complemented
73	#550×C₈₉	C₂²	1	4	yes	complemented
74	#550×C₈₉	C₂²	1	4	yes	complemented
75	#550×C₈₉	C₂²	1	4	yes	complemented
76	#550×C₈₉	C₂²	1	2	yes	complemented
77	#550×C₈₉	C₂²	1	4	yes	complemented
78	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
79	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
80	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
81	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
82	#548×C₈₉	C₂²	1	2	yes	complemented
83	#548×C₈₉	C₂²	1	4	yes	complemented
84	#548×C₈₉	C₂²	1	4	yes	complemented
85	#548×C₈₉	C₂²	1	4	yes	complemented
86	#548×C₈₉	C₂²	1	4	yes	complemented
87	#548×C₈₉	C₂²	1	4	yes	complemented
88	#547×C₈₉	C₂²	1	2	yes	—
89	#547×C₈₉	C₂²	1	2	yes	—
90	#547×C₈₉	C₂²	1	2	yes	—
91	#547×C₈₉	C₂²	1	2	yes	complemented
92	#547×C₈₉	C₂²	1	4	yes	complemented
93	#547×C₈₉	C₂²	1	2	yes	complemented
94	#547×C₈₉	C₂²	1	4	yes	complemented
95	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#547×C₈₉	C₂²	1	8	yes	complemented
98	#547×C₈₉	C₂²	1	4	yes	complemented
99	#547×C₈₉	C₂²	1	4	yes	complemented
100	#547×C₈₉	C₂²	1	2	yes	complemented
101	#547×C₈₉	C₂²	1	4	yes	complemented
102	#547×C₈₉	C₂²	1	2	yes	complemented
103	#547×C₈₉	C₂²	1	2	yes	complemented
104	#546×C₈₉	C₂²	1	4	yes	—
105	#546×C₈₉	C₂²	1	2	yes	—
106	#546×C₈₉	C₂²	1	2	yes	complemented
107	#546×C₈₉	C₂²	1	8	yes	complemented
108	#546×C₈₉	C₂²	1	4	yes	complemented
109	#546×C₈₉	C₂²	1	4	yes	complemented
110	D₄²×C₈₉	C₂²	1	2	yes	—
111	D₄²×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#544×C₈₉	C₂²	1	4	yes	complemented
114	#542×C₈₉	C₂²	1	2	yes	complemented
115	#542×C₈₉	C₂²	1	2	yes	complemented
116	#542×C₈₉	C₂²	1	4	yes	complemented
117	#542×C₈₉	C₂²	1	8	yes	complemented
118	#542×C₈₉	C₂²	1	4	yes	complemented
119	#542×C₈₉	C₂²	1	8	yes	complemented
120	#541×C₈₉	C₂²	1	4	yes	complemented
121	#541×C₈₉	C₂²	1	4	yes	complemented
122	#540×C₈₉	C₂²	1	2	yes	complemented
123	#540×C₈₉	C₂²	1	2	yes	complemented
124	#540×C₈₉	C₂²	1	8	yes	complemented
125	#540×C₈₉	C₂²	1	4	yes	complemented
126	#540×C₈₉	C₂²	1	8	yes	complemented
127	#540×C₈₉	C₂²	1	8	yes	complemented
128	#539×C₈₉	C₂²	1	8	yes	complemented
129	#539×C₈₉	C₂²	1	8	yes	complemented
130	#539×C₈₉	C₂²	1	8	yes	complemented
131	#539×C₈₉	C₂²	1	8	yes	complemented
132	#538×C₈₉	C₂²	1	4	yes	complemented
133	#538×C₈₉	C₂²	1	4	yes	complemented
134	#538×C₈₉	C₂²	1	8	yes	complemented
135	#538×C₈₉	C₂²	1	8	yes	complemented
136	#538×C₈₉	C₂²	1	8	yes	complemented
137	#537×C₈₉	C₂²	1	1	yes	characteristic
138	#537×C₈₉	C₂²	1	4	yes	complemented
139	#537×C₈₉	C₂²	1	4	yes	complemented
140	#537×C₈₉	C₂²	1	4	yes	complemented
141	#537×C₈₉	C₂²	1	4	yes	complemented
142	#537×C₈₉	C₂²	1	4	yes	complemented
143	#536×C₈₉	C₂²	1	2	yes	—
144	#536×C₈₉	C₂²	1	2	yes	complemented
145	#536×C₈₉	C₂²	1	4	yes	complemented
146	#536×C₈₉	C₂²	1	4	yes	complemented
147	#536×C₈₉	C₂²	1	4	yes	complemented
148	#535×C₈₉	C₂²	1	1	yes	characteristic
149	#535×C₈₉	C₂²	1	2	yes	complemented
150	#535×C₈₉	C₂²	1	4	yes	complemented
151	#535×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	#535×C₈₉	C₂²	1	8	yes	complemented
153	#535×C₈₉	C₂²	1	4	yes	complemented
154	#534×C₈₉	C₂²	1	8	yes	complemented
155	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#533×C₈₉	C₂²	1	4	yes	complemented
157	#533×C₈₉	C₂²	1	2	yes	complemented
158	#533×C₈₉	C₂²	1	2	yes	complemented
159	#532×C₈₉	C₂²	1	1	yes	characteristic
160	#532×C₈₉	C₂²	1	4	yes	complemented
161	#532×C₈₉	C₂²	1	4	yes	complemented
162	#532×C₈₉	C₂²	1	2	yes	complemented
163	#532×C₈₉	C₂²	1	2	yes	complemented
164	#532×C₈₉	C₂²	1	2	yes	complemented
165	#532×C₈₉	C₂²	1	2	yes	complemented
166	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
167	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
168	#529×C₈₉	C₂²	1	2	yes	complemented
169	#529×C₈₉	C₂²	1	2	yes	complemented
170	#529×C₈₉	C₂²	1	2	yes	complemented
171	#529×C₈₉	C₂²	1	4	yes	complemented
172	#529×C₈₉	C₂²	1	4	yes	complemented
173	#525×C₈₉	C₂²	1	2	yes	—
174	#525×C₈₉	C₂²	1	8	yes	complemented
175	#525×C₈₉	C₂²	1	4	yes	complemented
176	#525×C₈₉	C₂²	1	4	yes	complemented
177	#525×C₈₉	C₂²	1	4	yes	complemented
178	#525×C₈₉	C₂²	1	4	yes	complemented
179	#525×C₈₉	C₂²	1	2	yes	complemented
180	#525×C₈₉	C₂²	1	8	yes	complemented
181	#525×C₈₉	C₂²	1	4	yes	complemented
182	#525×C₈₉	C₂²	1	4	yes	complemented
183	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
184	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
185	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
186	C₂×#121×C₈₉	C₂²	1	2	yes	—
187	#520×C₈₉	C₂²	1	2	yes	complemented
188	#520×C₈₉	C₂²	1	4	yes	complemented
189	#520×C₈₉	C₂²	1	4	yes	complemented
190	#519×C₈₉	C₂²	1	2	yes	complemented
191	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
192	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
194	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
195	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	complemented
197	C₂×#117×C₈₉	C₂²	1	2	yes	complemented
198	C₂²×C₄⋊C₄×C₈₉	C₂²	1	2	yes	complemented
199	2₋¹⁺⁴×C₈₉	—	4	8	no	—
200	C₂×#41×C₈₉	—	4	8	no	—
201	C₂×#41×C₈₉	—	4	8	no	—
202	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
203	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₈₉	C₂³	1	2	yes	—
205	C₂×#41×C₈₉	C₂³	1	2	yes	—
206	C₂×#41×C₈₉	C₂³	1	4	yes	—
207	C₂×#41×C₈₉	C₂³	1	4	yes	—
208	C₂×#41×C₈₉	C₂³	1	4	yes	—
209	C₂×#41×C₈₉	C₂³	1	4	yes	—
210	C₂×#41×C₈₉	C₂³	1	4	yes	—
211	C₂×#41×C₈₉	C₂³	1	8	yes	—
212	C₂×#41×C₈₉	C₂³	1	4	yes	—
213	C₂×#41×C₈₉	C₂³	1	2	yes	—
214	C₂×#41×C₈₉	C₂³	1	2	yes	—
215	C₂×#41×C₈₉	C₂³	1	4	yes	—
216	C₂×#41×C₈₉	C₂³	1	4	yes	—
217	C₂×#41×C₈₉	C₂³	1	4	yes	—
218	C₂×#41×C₈₉	C₂³	1	4	yes	—
219	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
220	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
221	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
222	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
223	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
226	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
227	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
228	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
229	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
230	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
231	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
232	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
233	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
235	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
236	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
237	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
238	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
239	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
240	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
241	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
242	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
243	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
244	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
245	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
246	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
247	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
248	#127×C₈₉	C₂³	1	1	yes	characteristic
249	#127×C₈₉	C₂³	1	2	yes	—
250	#127×C₈₉	C₂³	1	4	yes	—
251	#127×C₈₉	C₂³	1	2	yes	—
252	#127×C₈₉	C₂³	1	2	yes	—
253	#127×C₈₉	C₂³	1	8	yes	—
254	#127×C₈₉	C₂³	1	8	yes	—
255	#126×C₈₉	C₂³	1	4	yes	—
256	#126×C₈₉	C₂³	1	4	yes	—
257	#126×C₈₉	C₂³	1	8	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	8	yes	—
262	#126×C₈₉	C₂³	1	8	yes	—
263	#126×C₈₉	C₂³	1	8	yes	—
264	#126×C₈₉	C₂³	1	8	yes	—
265	#126×C₈₉	C₂³	1	8	yes	—
266	#126×C₈₉	C₂³	1	8	yes	—
267	#125×C₈₉	C₂³	1	2	yes	—
268	#125×C₈₉	C₂³	1	4	yes	—
269	#125×C₈₉	C₂³	1	2	yes	—
270	#125×C₈₉	C₂³	1	2	yes	—
271	#125×C₈₉	C₂³	1	8	yes	—
272	#125×C₈₉	C₂³	1	4	yes	—
273	#125×C₈₉	C₂³	1	4	yes	—
274	#125×C₈₉	C₂³	1	2	yes	—
275	#125×C₈₉	C₂³	1	8	yes	—
276	#125×C₈₉	C₂³	1	8	yes	—
277	#125×C₈₉	C₂³	1	8	yes	—
278	#125×C₈₉	C₂³	1	8	yes	—
279	#124×C₈₉	C₂³	1	2	yes	—
280	#124×C₈₉	C₂³	1	4	yes	—
281	#124×C₈₉	C₂³	1	2	yes	—
282	#124×C₈₉	C₂³	1	4	yes	—
283	#124×C₈₉	C₂³	1	2	yes	—
284	#124×C₈₉	C₂³	1	2	yes	—
285	#124×C₈₉	C₂³	1	4	yes	—
286	#124×C₈₉	C₂³	1	4	yes	—
287	#124×C₈₉	C₂³	1	4	yes	—
288	#124×C₈₉	C₂³	1	4	yes	—
289	#124×C₈₉	C₂³	1	4	yes	—
290	#124×C₈₉	C₂³	1	8	yes	—
291	#124×C₈₉	C₂³	1	8	yes	—
292	#124×C₈₉	C₂³	1	8	yes	—
293	#124×C₈₉	C₂³	1	8	yes	—
294	#124×C₈₉	C₂³	1	8	yes	—
295	#123×C₈₉	C₂³	1	8	yes	—
296	#123×C₈₉	C₂³	1	8	yes	—
297	#123×C₈₉	C₂³	1	8	yes	—
298	#123×C₈₉	C₂³	1	8	yes	—
299	#123×C₈₉	C₂³	1	4	yes	—
300	#123×C₈₉	C₂³	1	4	yes	—
301	#123×C₈₉	C₂³	1	8	yes	—
302	#123×C₈₉	C₂³	1	8	yes	—
303	#123×C₈₉	C₂³	1	8	yes	—
304	#123×C₈₉	C₂³	1	8	yes	—
305	#123×C₈₉	C₂³	1	4	yes	—
306	#123×C₈₉	C₂³	1	4	yes	—
307	#123×C₈₉	C₂³	1	4	yes	—
308	#123×C₈₉	C₂³	1	8	yes	—
309	#123×C₈₉	C₂³	1	8	yes	—
310	#123×C₈₉	C₂³	1	4	yes	—
311	#123×C₈₉	C₂³	1	4	yes	—
312	#123×C₈₉	C₂³	1	4	yes	—
313	#123×C₈₉	C₂³	1	4	yes	—
314	#123×C₈₉	C₂³	1	4	yes	—
315	#123×C₈₉	C₂³	1	4	yes	—
316	#123×C₈₉	C₂³	1	8	yes	—
317	#123×C₈₉	C₂³	1	8	yes	—
318	#123×C₈₉	C₂³	1	8	yes	—
319	#123×C₈₉	C₂³	1	8	yes	—
320	#123×C₈₉	C₂³	1	8	yes	—
321	#123×C₈₉	C₂³	1	8	yes	—
322	#123×C₈₉	C₂³	1	8	yes	—
323	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
324	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
325	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
326	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
327	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
328	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
329	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
330	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
331	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
332	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
333	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
334	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
335	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
336	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
337	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
338	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
340	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
341	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
342	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
343	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
344	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
345	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
346	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
347	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
348	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
349	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
350	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
351	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
352	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
353	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
354	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
355	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
356	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
357	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
358	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
359	#121×C₈₉	C₂³	1	4	yes	—
360	#121×C₈₉	C₂³	1	4	yes	—
361	#121×C₈₉	C₂³	1	8	yes	—
362	#121×C₈₉	C₂³	1	2	yes	—
363	#121×C₈₉	C₂³	1	2	yes	—
364	#121×C₈₉	C₂³	1	2	yes	—
365	#121×C₈₉	C₂³	1	2	yes	—
366	#121×C₈₉	C₂³	1	2	yes	—
367	#121×C₈₉	C₂³	1	2	yes	—
368	#121×C₈₉	C₂³	1	2	yes	—
369	#121×C₈₉	C₂³	1	8	yes	—
370	#121×C₈₉	C₂³	1	4	yes	—
371	#121×C₈₉	C₂³	1	4	yes	—
372	#121×C₈₉	C₂³	1	8	yes	—
373	#121×C₈₉	C₂³	1	4	yes	—
374	#121×C₈₉	C₂³	1	4	yes	—
375	#121×C₈₉	C₂³	1	2	yes	—
376	#121×C₈₉	C₂³	1	8	yes	—
377	#121×C₈₉	C₂³	1	8	yes	—
378	#121×C₈₉	C₂³	1	4	yes	—
379	#121×C₈₉	C₂³	1	4	yes	—
380	#121×C₈₉	C₂³	1	4	yes	—
381	#121×C₈₉	C₂³	1	2	yes	—
382	#121×C₈₉	C₂³	1	2	yes	—
383	#121×C₈₉	C₂³	1	4	yes	—
384	#121×C₈₉	C₂³	1	2	yes	—
385	#121×C₈₉	C₂³	1	8	yes	—
386	#121×C₈₉	C₂³	1	8	yes	—
387	#121×C₈₉	C₂³	1	8	yes	—
388	#121×C₈₉	C₂³	1	8	yes	—
389	#121×C₈₉	C₂³	1	4	yes	—
390	#121×C₈₉	C₂³	1	2	yes	—
391	#121×C₈₉	C₂³	1	2	yes	—
392	#121×C₈₉	C₂³	1	2	yes	—
393	#121×C₈₉	C₂³	1	2	yes	—
394	#121×C₈₉	C₂³	1	4	yes	—
395	#121×C₈₉	C₂³	1	4	yes	—
396	#121×C₈₉	C₂³	1	4	yes	—
397	#121×C₈₉	C₂³	1	4	yes	—
398	#121×C₈₉	C₂³	1	8	yes	—
399	#121×C₈₉	C₂³	1	8	yes	—
400	#121×C₈₉	C₂³	1	8	yes	—
401	#121×C₈₉	C₂³	1	8	yes	—
402	#121×C₈₉	C₂³	1	8	yes	—
403	#121×C₈₉	C₂³	1	8	yes	—
404	#121×C₈₉	C₂³	1	8	yes	—
405	#121×C₈₉	C₂³	1	8	yes	—
406	#120×C₈₉	C₂³	1	4	yes	—
407	#120×C₈₉	C₂³	1	4	yes	—
408	#120×C₈₉	C₂³	1	8	yes	—
409	#120×C₈₉	C₂³	1	4	yes	—
410	#120×C₈₉	C₂³	1	8	yes	—
411	#120×C₈₉	C₂³	1	8	yes	—
412	#120×C₈₉	C₂³	1	4	yes	—
413	#120×C₈₉	C₂³	1	8	yes	—
414	#120×C₈₉	C₂³	1	4	yes	—
415	#120×C₈₉	C₂³	1	4	yes	—
416	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
417	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
418	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
419	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
420	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
421	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
422	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
423	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
424	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
425	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
426	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
427	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
428	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
429	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
430	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
431	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
432	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
433	C₄×D₄×C₈₉	C₂³	1	2	yes	—
434	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
435	C₄×D₄×C₈₉	C₂³	1	2	yes	—
436	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
437	C₄×D₄×C₈₉	C₂³	1	2	yes	—
438	C₄×D₄×C₈₉	C₂³	1	4	yes	—
439	C₄×D₄×C₈₉	C₂³	1	2	yes	—
440	C₄×D₄×C₈₉	C₂³	1	2	yes	—
441	C₄×D₄×C₈₉	C₂³	1	2	yes	—
442	C₄×D₄×C₈₉	C₂³	1	4	yes	—
443	C₄×D₄×C₈₉	C₂³	1	2	yes	—
444	C₄×D₄×C₈₉	C₂³	1	2	yes	—
445	C₄×D₄×C₈₉	C₂³	1	2	yes	—
446	C₄×D₄×C₈₉	C₂³	1	2	yes	—
447	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
448	C₄×D₄×C₈₉	C₂³	1	2	yes	—
449	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₈₉	C₂³	1	2	yes	—
451	C₄×D₄×C₈₉	C₂³	1	4	yes	—
452	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
453	C₄×D₄×C₈₉	C₂³	1	2	yes	—
454	C₄×D₄×C₈₉	C₂³	1	2	yes	—
455	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₈₉	C₂³	1	4	yes	—
457	C₄×D₄×C₈₉	C₂³	1	8	yes	—
458	C₄×D₄×C₈₉	C₂³	1	8	yes	—
459	C₄×D₄×C₈₉	C₂³	1	8	yes	—
460	C₄×D₄×C₈₉	C₂³	1	8	yes	—
461	C₄×D₄×C₈₉	C₂³	1	8	yes	—
462	C₄×D₄×C₈₉	C₂³	1	8	yes	—
463	C₄×D₄×C₈₉	C₂³	1	4	yes	—
464	C₄×D₄×C₈₉	C₂³	1	4	yes	—
465	C₄×D₄×C₈₉	C₂³	1	4	yes	—
466	C₄×D₄×C₈₉	C₂³	1	2	yes	—
467	C₄×D₄×C₈₉	C₂³	1	8	yes	—
468	C₄×D₄×C₈₉	C₂³	1	8	yes	—
469	C₄×D₄×C₈₉	C₂³	1	4	yes	—
470	C₄×D₄×C₈₉	C₂³	1	4	yes	—
471	C₄×D₄×C₈₉	C₂³	1	4	yes	—
472	C₄×D₄×C₈₉	C₂³	1	8	yes	—
473	C₄×D₄×C₈₉	C₂³	1	8	yes	—
474	C₄×D₄×C₈₉	C₂³	1	8	yes	—
475	C₄×D₄×C₈₉	C₂³	1	8	yes	—
476	C₄×D₄×C₈₉	C₂³	1	8	yes	—
477	C₄×D₄×C₈₉	C₂³	1	4	yes	—
478	#117×C₈₉	C₂³	1	1	yes	characteristic
479	#117×C₈₉	C₂³	1	2	yes	—
480	#117×C₈₉	C₂³	1	4	yes	—
481	#117×C₈₉	C₂³	1	2	yes	—
482	#117×C₈₉	C₂³	1	2	yes	—
483	#117×C₈₉	C₂³	1	4	yes	—
484	#117×C₈₉	C₂³	1	1	yes	characteristic
485	#117×C₈₉	C₂³	1	2	yes	—
486	#117×C₈₉	C₂³	1	2	yes	—
487	#117×C₈₉	C₂³	1	2	yes	—
488	#117×C₈₉	C₂³	1	4	yes	—
489	#117×C₈₉	C₂³	1	8	yes	—
490	#117×C₈₉	C₂³	1	4	yes	—
491	#117×C₈₉	C₂³	1	4	yes	—
492	#117×C₈₉	C₂³	1	4	yes	—
493	#117×C₈₉	C₂³	1	8	yes	—
494	#117×C₈₉	C₂³	1	4	yes	—
495	#117×C₈₉	C₂³	1	4	yes	—
496	#117×C₈₉	C₂³	1	8	yes	—
497	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
498	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
500	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
501	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
502	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
503	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
504	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
505	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
507	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
508	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
509	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
510	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
511	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
512	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
513	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
515	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
516	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
517	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
518	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
519	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
521	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
522	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
523	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
524	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
525	#41×C₈₉	—	2	4	no	—
526	#41×C₈₉	—	2	8	no	—
527	#41×C₈₉	—	2	4	no	—
528	#41×C₈₉	—	4	8	no	—
529	#41×C₈₉	—	4	8	no	—
530	#41×C₈₉	—	4	8	no	—
531	#41×C₈₉	—	4	16	no	—
532	#41×C₈₉	—	4	8	no	—
533	#41×C₈₉	—	4	8	no	—
534	#41×C₈₉	—	4	8	no	—
535	#41×C₈₉	—	4	8	no	—
536	#41×C₈₉	—	4	4	no	—
537	#41×C₈₉	—	4	4	no	—
538	#41×C₈₉	—	4	8	no	—
539	#41×C₈₉	—	4	4	no	—
540	#41×C₈₉	—	4	8	no	—
541	#41×C₈₉	—	4	8	no	—
542	C₂×Q₈×C₈₉	—	2	8	no	—
543	C₂×Q₈×C₈₉	—	4	4	no	—
544	C₂×Q₈×C₈₉	—	4	8	no	—
545	C₂×Q₈×C₈₉	—	4	8	no	—
546	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
549	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
550	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
551	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
553	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
554	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
555	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
556	C₂×D₄×C₈₉	—	2	4	no	—
557	C₂×D₄×C₈₉	—	4	2	no	—
558	C₂×D₄×C₈₉	—	4	4	no	—
559	C₂×D₄×C₈₉	—	4	4	no	—
560	C₂×D₄×C₈₉	—	4	8	no	—
561	C₂×D₄×C₈₉	—	4	8	no	—
562	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
564	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
565	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
566	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
567	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
568	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
569	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
570	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
572	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
573	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
574	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
575	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
576	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
577	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
578	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
579	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
580	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
581	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
582	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
583	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
584	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
585	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
586	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
587	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
588	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
589	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
590	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
591	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
592	C₂²×C₄×C₈₉	—	2	8	no	—
593	C₂²×C₄×C₈₉	—	4	4	no	—
594	C₂²×C₄×C₈₉	—	4	8	no	—
595	C₂²×C₄×C₈₉	—	4	8	no	—
596	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
597	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
599	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
600	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
601	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
602	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
603	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
604	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
605	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
606	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
607	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
608	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
609	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
611	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
613	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
614	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
615	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
616	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
618	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
619	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
620	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
621	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
622	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
623	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
624	C₂²×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	2	yes	—
628	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
630	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
631	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
632	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
633	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
634	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
635	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
637	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
639	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
640	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
641	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
642	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
645	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
647	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
649	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
650	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
651	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
652	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
655	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
656	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
657	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
658	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
659	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
660	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
661	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
662	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
663	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
664	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
667	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
668	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
670	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
671	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
672	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
673	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
676	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
677	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
680	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
681	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
682	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
683	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
684	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
685	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
688	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
690	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
691	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
692	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
693	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
694	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
695	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
696	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
699	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
700	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
701	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
704	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
705	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
706	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
707	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
708	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
709	C₄²×C₈₉	C₂⁴	1	2	yes	—
710	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
711	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
712	C₄²×C₈₉	C₂⁴	1	4	yes	—
713	C₄²×C₈₉	C₂⁴	1	4	yes	—
714	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
715	C₄²×C₈₉	C₂⁴	1	2	yes	—
716	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
717	C₄²×C₈₉	C₂⁴	1	2	yes	—
718	C₄²×C₈₉	C₂⁴	1	2	yes	—
719	C₄²×C₈₉	C₂⁴	1	4	yes	—
720	C₄²×C₈₉	C₂⁴	1	2	yes	—
721	C₄²×C₈₉	C₂⁴	1	2	yes	—
722	C₄²×C₈₉	C₂⁴	1	8	yes	—
723	C₄²×C₈₉	C₂⁴	1	8	yes	—
724	C₄²×C₈₉	C₂⁴	1	8	yes	—
725	C₂³×C₈₉	—	2	4	no	—
726	C₂³×C₈₉	—	2	4	no	—
727	C₂³×C₈₉	—	4	2	no	—
728	C₂³×C₈₉	—	4	2	no	—
729	C₂³×C₈₉	—	4	4	no	—
730	C₂³×C₈₉	—	4	2	no	—
731	C₂³×C₈₉	—	4	4	no	—
732	C₂³×C₈₉	—	4	2	no	—
733	C₂³×C₈₉	—	4	4	no	—
734	C₂³×C₈₉	C₂⁵	1	2	yes	—
735	C₂³×C₈₉	C₂⁵	1	2	yes	—
736	C₂³×C₈₉	C₂⁵	1	2	yes	—
737	C₂³×C₈₉	C₂⁵	1	4	yes	—
738	C₂³×C₈₉	C₂⁵	1	4	yes	—
739	C₂³×C₈₉	C₂⁵	1	2	yes	—
740	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
741	Q₈×C₈₉	—	2	8	no	—
742	Q₈×C₈₉	—	2	8	no	—
743	Q₈×C₈₉	—	2	2	no	—
744	Q₈×C₈₉	—	2	4	no	—
745	Q₈×C₈₉	—	2	2	no	—
746	Q₈×C₈₉	—	2	4	no	—
747	Q₈×C₈₉	—	4	8	no	—
748	Q₈×C₈₉	—	4	4	no	—
749	Q₈×C₈₉	—	4	2	no	—
750	Q₈×C₈₉	—	4	4	no	—
751	D₄×C₈₉	—	2	4	no	—
752	D₄×C₈₉	—	2	8	no	—
753	D₄×C₈₉	—	2	4	no	—
754	D₄×C₈₉	—	2	4	no	—
755	D₄×C₈₉	—	2	4	no	—
756	D₄×C₈₉	—	2	2	no	—
757	D₄×C₈₉	—	2	4	no	—
758	D₄×C₈₉	—	2	2	no	—
759	D₄×C₈₉	—	2	2	no	—
760	D₄×C₈₉	—	2	2	no	—
761	D₄×C₈₉	—	2	4	no	—
762	D₄×C₈₉	—	4	2	no	—
763	D₄×C₈₉	—	4	4	no	—
764	D₄×C₈₉	—	4	4	no	—
765	D₄×C₈₉	—	4	4	no	—
766	D₄×C₈₉	—	4	4	no	—
767	D₄×C₈₉	—	4	8	no	—
768	D₄×C₈₉	—	4	8	no	—
769	D₄×C₈₉	—	4	4	no	—
770	D₄×C₈₉	—	4	2	no	—
771	D₄×C₈₉	—	4	4	no	—
772	D₄×C₈₉	—	4	4	no	—
773	D₄×C₈₉	—	4	4	no	—
774	D₄×C₈₉	—	4	8	no	—
775	D₄×C₈₉	—	4	4	no	—
776	D₄×C₈₉	—	4	4	no	—
777	D₄×C₈₉	—	4	4	no	—
778	D₄×C₈₉	—	4	8	no	—
779	D₄×C₈₉	—	4	4	no	—
780	D₄×C₈₉	—	4	8	no	—
781	C₂×C₄×C₈₉	—	2	4	no	—
782	C₂×C₄×C₈₉	—	2	8	no	—
783	C₂×C₄×C₈₉	—	2	4	no	—
784	C₂×C₄×C₈₉	—	2	4	no	—
785	C₂×C₄×C₈₉	—	2	4	no	—
786	C₂×C₄×C₈₉	—	2	4	no	—
787	C₂×C₄×C₈₉	—	2	4	no	—
788	C₂×C₄×C₈₉	—	2	8	no	—
789	C₂×C₄×C₈₉	—	2	4	no	—
790	C₂×C₄×C₈₉	—	2	2	no	—
791	C₂×C₄×C₈₉	—	2	8	no	—
792	C₂×C₄×C₈₉	—	2	4	no	—
793	C₂×C₄×C₈₉	—	2	4	no	—
794	C₂×C₄×C₈₉	—	4	4	no	—
795	C₂×C₄×C₈₉	—	4	2	no	—
796	C₂×C₄×C₈₉	—	4	4	no	—
797	C₂×C₄×C₈₉	—	4	4	no	—
798	C₂×C₄×C₈₉	—	4	4	no	—
799	C₂×C₄×C₈₉	—	4	8	no	—
800	C₂×C₄×C₈₉	—	4	8	no	—
801	C₂×C₄×C₈₉	—	4	2	no	—
802	C₂×C₄×C₈₉	—	4	1	no	—
803	C₂×C₄×C₈₉	—	4	4	no	—
804	C₂×C₄×C₈₉	—	4	2	no	—
805	C₂×C₄×C₈₉	—	4	8	no	—
806	C₂×C₄×C₈₉	—	4	8	no	—
807	C₂×C₄×C₈₉	—	4	8	no	—
808	C₂×C₄×C₈₉	—	4	4	no	—
809	C₂×C₄×C₈₉	H(5,𝔽₂)	1	4	yes	—
810	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
811	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
812	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
813	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
814	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
815	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
816	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
817	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
818	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
819	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
820	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
821	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
822	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
823	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
824	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
825	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
826	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
827	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
828	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
829	C₂²×C₈₉	—	2	1	no	—
830	C₂²×C₈₉	—	2	1	no	—
831	C₂²×C₈₉	—	2	2	no	—
832	C₂²×C₈₉	—	2	2	no	—
833	C₂²×C₈₉	—	2	2	no	—
834	C₂²×C₈₉	—	2	4	no	—
835	C₂²×C₈₉	—	2	2	no	—
836	C₂²×C₈₉	—	2	4	no	—
837	C₂²×C₈₉	—	2	4	no	—
838	C₂²×C₈₉	—	2	2	no	—
839	C₂²×C₈₉	—	2	2	no	—
840	C₂²×C₈₉	—	2	2	no	—
841	C₂²×C₈₉	—	2	4	no	—
842	C₂²×C₈₉	—	2	2	no	—
843	C₂²×C₈₉	—	2	2	no	—
844	C₂²×C₈₉	—	2	2	no	—
845	C₂²×C₈₉	—	2	2	no	—
846	C₂²×C₈₉	—	2	4	no	—
847	C₂²×C₈₉	—	2	4	no	—
848	C₂²×C₈₉	—	2	2	no	—
849	C₂²×C₈₉	—	4	8	no	—
850	C₂²×C₈₉	—	8	4	no	—
851	C₂²×C₈₉	—	8	8	no	—
852	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
853	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
854	C₄×C₈₉	—	2	2	no	—
855	C₄×C₈₉	—	2	2	no	—
856	C₄×C₈₉	—	2	2	no	—
857	C₄×C₈₉	—	2	4	no	—
858	C₄×C₈₉	—	2	2	no	—
859	C₄×C₈₉	—	2	8	no	—
860	C₄×C₈₉	—	2	1	no	—
861	C₄×C₈₉	—	2	4	no	—
862	C₄×C₈₉	—	2	2	no	—
863	C₄×C₈₉	—	2	2	no	—
864	C₄×C₈₉	—	2	4	no	—
865	C₄×C₈₉	—	2	1	no	—
866	C₄×C₈₉	—	2	2	no	—
867	C₄×C₈₉	—	2	1	no	—
868	C₄×C₈₉	—	2	2	no	—
869	C₄×C₈₉	—	2	4	no	—
870	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
871	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
872	C₄×C₈₉	#585	1	2	yes	—
873	#62925	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
874	C₂×C₈₉	—	2	2	no	—
875	C₂×C₈₉	—	4	2	no	—
876	C₂×C₈₉	—	4	4	no	—
877	C₂×C₈₉	—	4	2	no	—
878	C₂×C₈₉	—	4	4	no	—
879	C₂×C₈₉	—	4	2	no	—
880	C₂×C₈₉	—	4	2	no	—
881	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
882	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
883	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
884	#3562	C₂×C₈₉	1	4	yes	complemented
885	#3554	C₂×C₈₉	1	4	yes	complemented
886	#3552	C₂×C₈₉	1	2	yes	complemented
887	#3548	C₂×C₈₉	1	2	yes	complemented
888	#3547	C₂×C₈₉	1	2	yes	complemented
889	#3546	C₂×C₈₉	1	2	yes	complemented
890	#3542	C₂×C₈₉	1	4	yes	complemented
891	#3541	C₂×C₈₉	1	4	yes	complemented
892	#3539	C₂×C₈₉	1	4	yes	complemented
893	#3533	C₂×C₈₉	1	8	yes	complemented
894	#3520	C₂×C₈₉	1	2	yes	complemented
895	#3517	C₂×C₈₉	1	2	yes	complemented
896	#3511	C₂×C₈₉	1	2	yes	complemented
897	#3509	C₂×C₈₉	1	1	yes	characteristic, complemented
898	#3506	C₂×C₈₉	1	1	yes	characteristic, complemented
899	#3506	C₂×C₈₉	1	2	yes	complemented
900	#3499	C₂×C₈₉	1	1	yes	characteristic, complemented
901	#3495	C₂×C₈₉	1	2	yes	complemented
902	#3492	C₂×C₈₉	1	4	yes	complemented
903	#3489	C₂×C₈₉	1	2	yes	complemented
904	#3487	C₂×C₈₉	1	2	yes	complemented
905	#3475	C₂×C₈₉	1	1	yes	characteristic, complemented
906	D₄×#41	C₂×C₈₉	1	1	yes	characteristic, complemented
907	C₂×#547	C₂×C₈₉	1	1	yes	characteristic, complemented
908	#3460	C₂×C₈₉	1	1	yes	characteristic, complemented
909	#3449	C₂×C₈₉	1	2	yes	complemented
910	C₈₉	#62925	1	1	yes	characteristic, direct product factor, Sylow
911	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	2	yes	complemented
912	C₂²×#41	C₂²×C₈₉	1	2	yes	—
913	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
914	#563	C₂²×C₈₉	1	8	yes	complemented
915	#562	C₂²×C₈₉	1	8	yes	complemented
916	#562	C₂²×C₈₉	1	8	yes	complemented
917	#562	C₂²×C₈₉	1	8	yes	complemented
918	#560	C₂²×C₈₉	1	8	yes	complemented
919	#560	C₂²×C₈₉	1	8	yes	complemented
920	#559	C₂²×C₈₉	1	8	yes	complemented
921	#559	C₂²×C₈₉	1	4	yes	complemented
922	#557	C₂²×C₈₉	1	2	yes	complemented
923	#557	C₂²×C₈₉	1	2	yes	complemented
924	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
925	#556	C₂²×C₈₉	1	4	yes	complemented
926	#556	C₂²×C₈₉	1	2	yes	complemented
927	#556	C₂²×C₈₉	1	2	yes	complemented
928	#556	C₂²×C₈₉	1	2	yes	complemented
929	#555	C₂²×C₈₉	1	1	yes	characteristic, complemented
930	#555	C₂²×C₈₉	1	2	yes	complemented
931	#555	C₂²×C₈₉	1	4	yes	complemented
932	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
933	#554	C₂²×C₈₉	1	4	yes	complemented
934	#554	C₂²×C₈₉	1	8	yes	complemented
935	#554	C₂²×C₈₉	1	4	yes	complemented
936	#554	C₂²×C₈₉	1	4	yes	complemented
937	#553	C₂²×C₈₉	1	2	yes	complemented
938	#553	C₂²×C₈₉	1	4	yes	complemented
939	#553	C₂²×C₈₉	1	8	yes	complemented
940	#553	C₂²×C₈₉	1	4	yes	complemented
941	#553	C₂²×C₈₉	1	4	yes	complemented
942	#553	C₂²×C₈₉	1	4	yes	complemented
943	#553	C₂²×C₈₉	1	8	yes	complemented
944	#553	C₂²×C₈₉	1	8	yes	complemented
945	#552	C₂²×C₈₉	1	2	yes	complemented
946	#552	C₂²×C₈₉	1	2	yes	complemented
947	#552	C₂²×C₈₉	1	8	yes	complemented
948	#552	C₂²×C₈₉	1	4	yes	complemented
949	#552	C₂²×C₈₉	1	4	yes	complemented
950	#552	C₂²×C₈₉	1	4	yes	complemented
951	#552	C₂²×C₈₉	1	4	yes	complemented
952	#551	C₂²×C₈₉	1	4	yes	complemented
953	#551	C₂²×C₈₉	1	8	yes	complemented
954	#551	C₂²×C₈₉	1	8	yes	complemented
955	#550	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#550	C₂²×C₈₉	1	4	yes	complemented
957	#550	C₂²×C₈₉	1	4	yes	complemented
958	#550	C₂²×C₈₉	1	4	yes	complemented
959	#550	C₂²×C₈₉	1	4	yes	complemented
960	#550	C₂²×C₈₉	1	2	yes	complemented
961	#550	C₂²×C₈₉	1	4	yes	complemented
962	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
963	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
964	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
965	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
966	#548	C₂²×C₈₉	1	2	yes	complemented
967	#548	C₂²×C₈₉	1	4	yes	complemented
968	#548	C₂²×C₈₉	1	4	yes	complemented
969	#548	C₂²×C₈₉	1	4	yes	complemented
970	#548	C₂²×C₈₉	1	4	yes	complemented
971	#548	C₂²×C₈₉	1	4	yes	complemented
972	#547	C₂²×C₈₉	1	2	yes	—
973	#547	C₂²×C₈₉	1	2	yes	—
974	#547	C₂²×C₈₉	1	2	yes	—
975	#547	C₂²×C₈₉	1	2	yes	complemented
976	#547	C₂²×C₈₉	1	4	yes	complemented
977	#547	C₂²×C₈₉	1	2	yes	complemented
978	#547	C₂²×C₈₉	1	4	yes	complemented
979	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#547	C₂²×C₈₉	1	8	yes	complemented
982	#547	C₂²×C₈₉	1	4	yes	complemented
983	#547	C₂²×C₈₉	1	4	yes	complemented
984	#547	C₂²×C₈₉	1	2	yes	complemented
985	#547	C₂²×C₈₉	1	4	yes	complemented
986	#547	C₂²×C₈₉	1	2	yes	complemented
987	#547	C₂²×C₈₉	1	2	yes	complemented
988	#546	C₂²×C₈₉	1	4	yes	—
989	#546	C₂²×C₈₉	1	2	yes	—
990	#546	C₂²×C₈₉	1	2	yes	complemented
991	#546	C₂²×C₈₉	1	8	yes	complemented
992	#546	C₂²×C₈₉	1	4	yes	complemented
993	#546	C₂²×C₈₉	1	4	yes	complemented
994	D₄²	C₂²×C₈₉	1	2	yes	—
995	D₄²	C₂²×C₈₉	1	1	yes	characteristic, complemented
996	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
997	#544	C₂²×C₈₉	1	4	yes	complemented
998	#542	C₂²×C₈₉	1	2	yes	complemented
999	#542	C₂²×C₈₉	1	2	yes	complemented
1000	#542	C₂²×C₈₉	1	4	yes	complemented
1001	#542	C₂²×C₈₉	1	8	yes	complemented
1002	#542	C₂²×C₈₉	1	4	yes	complemented
1003	#542	C₂²×C₈₉	1	8	yes	complemented
1004	#541	C₂²×C₈₉	1	4	yes	complemented
1005	#541	C₂²×C₈₉	1	4	yes	complemented
1006	#540	C₂²×C₈₉	1	2	yes	complemented
1007	#540	C₂²×C₈₉	1	2	yes	complemented
1008	#540	C₂²×C₈₉	1	8	yes	complemented
1009	#540	C₂²×C₈₉	1	4	yes	complemented
1010	#540	C₂²×C₈₉	1	8	yes	complemented
1011	#540	C₂²×C₈₉	1	8	yes	complemented
1012	#539	C₂²×C₈₉	1	8	yes	complemented
1013	#539	C₂²×C₈₉	1	8	yes	complemented
1014	#539	C₂²×C₈₉	1	8	yes	complemented
1015	#539	C₂²×C₈₉	1	8	yes	complemented
1016	#538	C₂²×C₈₉	1	4	yes	complemented
1017	#538	C₂²×C₈₉	1	4	yes	complemented
1018	#538	C₂²×C₈₉	1	8	yes	complemented
1019	#538	C₂²×C₈₉	1	8	yes	complemented
1020	#538	C₂²×C₈₉	1	8	yes	complemented
1021	#537	C₂²×C₈₉	1	1	yes	characteristic
1022	#537	C₂²×C₈₉	1	4	yes	complemented
1023	#537	C₂²×C₈₉	1	4	yes	complemented
1024	#537	C₂²×C₈₉	1	4	yes	complemented
1025	#537	C₂²×C₈₉	1	4	yes	complemented
1026	#537	C₂²×C₈₉	1	4	yes	complemented
1027	#536	C₂²×C₈₉	1	2	yes	—
1028	#536	C₂²×C₈₉	1	2	yes	complemented
1029	#536	C₂²×C₈₉	1	4	yes	complemented
1030	#536	C₂²×C₈₉	1	4	yes	complemented
1031	#536	C₂²×C₈₉	1	4	yes	complemented
1032	#535	C₂²×C₈₉	1	1	yes	characteristic
1033	#535	C₂²×C₈₉	1	2	yes	complemented
1034	#535	C₂²×C₈₉	1	4	yes	complemented
1035	#535	C₂²×C₈₉	1	1	yes	characteristic, complemented
1036	#535	C₂²×C₈₉	1	8	yes	complemented
1037	#535	C₂²×C₈₉	1	4	yes	complemented
1038	#534	C₂²×C₈₉	1	8	yes	complemented
1039	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	#533	C₂²×C₈₉	1	4	yes	complemented
1041	#533	C₂²×C₈₉	1	2	yes	complemented
1042	#533	C₂²×C₈₉	1	2	yes	complemented
1043	#532	C₂²×C₈₉	1	1	yes	characteristic
1044	#532	C₂²×C₈₉	1	4	yes	complemented
1045	#532	C₂²×C₈₉	1	4	yes	complemented
1046	#532	C₂²×C₈₉	1	2	yes	complemented
1047	#532	C₂²×C₈₉	1	2	yes	complemented
1048	#532	C₂²×C₈₉	1	2	yes	complemented
1049	#532	C₂²×C₈₉	1	2	yes	complemented
1050	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1051	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1052	#529	C₂²×C₈₉	1	2	yes	complemented
1053	#529	C₂²×C₈₉	1	2	yes	complemented
1054	#529	C₂²×C₈₉	1	2	yes	complemented
1055	#529	C₂²×C₈₉	1	4	yes	complemented
1056	#529	C₂²×C₈₉	1	4	yes	complemented
1057	#525	C₂²×C₈₉	1	2	yes	—
1058	#525	C₂²×C₈₉	1	8	yes	complemented
1059	#525	C₂²×C₈₉	1	4	yes	complemented
1060	#525	C₂²×C₈₉	1	4	yes	complemented
1061	#525	C₂²×C₈₉	1	4	yes	complemented
1062	#525	C₂²×C₈₉	1	4	yes	complemented
1063	#525	C₂²×C₈₉	1	2	yes	complemented
1064	#525	C₂²×C₈₉	1	8	yes	complemented
1065	#525	C₂²×C₈₉	1	4	yes	complemented
1066	#525	C₂²×C₈₉	1	4	yes	complemented
1067	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
1068	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1069	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1070	C₂×#121	C₂²×C₈₉	1	2	yes	—
1071	#520	C₂²×C₈₉	1	2	yes	complemented
1072	#520	C₂²×C₈₉	1	4	yes	complemented
1073	#520	C₂²×C₈₉	1	4	yes	complemented
1074	#519	C₂²×C₈₉	1	2	yes	complemented
1075	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
1076	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1077	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
1078	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
1079	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1080	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	complemented
1081	C₂×#117	C₂²×C₈₉	1	2	yes	complemented
1082	C₂²×C₄⋊C₄	C₂²×C₈₉	1	2	yes	complemented
1083	2₋¹⁺⁴	—	4	8	no	—
1084	C₂×#41	—	4	8	no	—
1085	C₂×#41	—	4	8	no	—
1086	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1087	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1088	C₂×#41	C₂³×C₈₉	1	2	yes	—
1089	C₂×#41	C₂³×C₈₉	1	2	yes	—
1090	C₂×#41	C₂³×C₈₉	1	4	yes	—
1091	C₂×#41	C₂³×C₈₉	1	4	yes	—
1092	C₂×#41	C₂³×C₈₉	1	4	yes	—
1093	C₂×#41	C₂³×C₈₉	1	4	yes	—
1094	C₂×#41	C₂³×C₈₉	1	4	yes	—
1095	C₂×#41	C₂³×C₈₉	1	8	yes	—
1096	C₂×#41	C₂³×C₈₉	1	4	yes	—
1097	C₂×#41	C₂³×C₈₉	1	2	yes	—
1098	C₂×#41	C₂³×C₈₉	1	2	yes	—
1099	C₂×#41	C₂³×C₈₉	1	4	yes	—
1100	C₂×#41	C₂³×C₈₉	1	4	yes	—
1101	C₂×#41	C₂³×C₈₉	1	4	yes	—
1102	C₂×#41	C₂³×C₈₉	1	4	yes	—
1103	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1104	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1105	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1106	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1107	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1108	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1109	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1110	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1111	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1112	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1113	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1114	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1115	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1116	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1117	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1118	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1119	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1120	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1121	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1122	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1123	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1124	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1125	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1126	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1127	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1128	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1129	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1130	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1131	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1132	#127	C₂³×C₈₉	1	1	yes	characteristic
1133	#127	C₂³×C₈₉	1	2	yes	—
1134	#127	C₂³×C₈₉	1	4	yes	—
1135	#127	C₂³×C₈₉	1	2	yes	—
1136	#127	C₂³×C₈₉	1	2	yes	—
1137	#127	C₂³×C₈₉	1	8	yes	—
1138	#127	C₂³×C₈₉	1	8	yes	—
1139	#126	C₂³×C₈₉	1	4	yes	—
1140	#126	C₂³×C₈₉	1	4	yes	—
1141	#126	C₂³×C₈₉	1	8	yes	—
1142	#126	C₂³×C₈₉	1	4	yes	—
1143	#126	C₂³×C₈₉	1	4	yes	—
1144	#126	C₂³×C₈₉	1	4	yes	—
1145	#126	C₂³×C₈₉	1	8	yes	—
1146	#126	C₂³×C₈₉	1	8	yes	—
1147	#126	C₂³×C₈₉	1	8	yes	—
1148	#126	C₂³×C₈₉	1	8	yes	—
1149	#126	C₂³×C₈₉	1	8	yes	—
1150	#126	C₂³×C₈₉	1	8	yes	—
1151	#125	C₂³×C₈₉	1	2	yes	—
1152	#125	C₂³×C₈₉	1	4	yes	—
1153	#125	C₂³×C₈₉	1	2	yes	—
1154	#125	C₂³×C₈₉	1	2	yes	—
1155	#125	C₂³×C₈₉	1	8	yes	—
1156	#125	C₂³×C₈₉	1	4	yes	—
1157	#125	C₂³×C₈₉	1	4	yes	—
1158	#125	C₂³×C₈₉	1	2	yes	—
1159	#125	C₂³×C₈₉	1	8	yes	—
1160	#125	C₂³×C₈₉	1	8	yes	—
1161	#125	C₂³×C₈₉	1	8	yes	—
1162	#125	C₂³×C₈₉	1	8	yes	—
1163	#124	C₂³×C₈₉	1	2	yes	—
1164	#124	C₂³×C₈₉	1	4	yes	—
1165	#124	C₂³×C₈₉	1	2	yes	—
1166	#124	C₂³×C₈₉	1	4	yes	—
1167	#124	C₂³×C₈₉	1	2	yes	—
1168	#124	C₂³×C₈₉	1	2	yes	—
1169	#124	C₂³×C₈₉	1	4	yes	—
1170	#124	C₂³×C₈₉	1	4	yes	—
1171	#124	C₂³×C₈₉	1	4	yes	—
1172	#124	C₂³×C₈₉	1	4	yes	—
1173	#124	C₂³×C₈₉	1	4	yes	—
1174	#124	C₂³×C₈₉	1	8	yes	—
1175	#124	C₂³×C₈₉	1	8	yes	—
1176	#124	C₂³×C₈₉	1	8	yes	—
1177	#124	C₂³×C₈₉	1	8	yes	—
1178	#124	C₂³×C₈₉	1	8	yes	—
1179	#123	C₂³×C₈₉	1	8	yes	—
1180	#123	C₂³×C₈₉	1	8	yes	—
1181	#123	C₂³×C₈₉	1	8	yes	—
1182	#123	C₂³×C₈₉	1	8	yes	—
1183	#123	C₂³×C₈₉	1	4	yes	—
1184	#123	C₂³×C₈₉	1	4	yes	—
1185	#123	C₂³×C₈₉	1	8	yes	—
1186	#123	C₂³×C₈₉	1	8	yes	—
1187	#123	C₂³×C₈₉	1	8	yes	—
1188	#123	C₂³×C₈₉	1	8	yes	—
1189	#123	C₂³×C₈₉	1	4	yes	—
1190	#123	C₂³×C₈₉	1	4	yes	—
1191	#123	C₂³×C₈₉	1	4	yes	—
1192	#123	C₂³×C₈₉	1	8	yes	—
1193	#123	C₂³×C₈₉	1	8	yes	—
1194	#123	C₂³×C₈₉	1	4	yes	—
1195	#123	C₂³×C₈₉	1	4	yes	—
1196	#123	C₂³×C₈₉	1	4	yes	—
1197	#123	C₂³×C₈₉	1	4	yes	—
1198	#123	C₂³×C₈₉	1	4	yes	—
1199	#123	C₂³×C₈₉	1	4	yes	—
1200	#123	C₂³×C₈₉	1	8	yes	—
1201	#123	C₂³×C₈₉	1	8	yes	—
1202	#123	C₂³×C₈₉	1	8	yes	—
1203	#123	C₂³×C₈₉	1	8	yes	—
1204	#123	C₂³×C₈₉	1	8	yes	—
1205	#123	C₂³×C₈₉	1	8	yes	—
1206	#123	C₂³×C₈₉	1	8	yes	—
1207	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1208	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1209	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1210	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1211	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1212	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1213	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1214	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1215	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1217	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1218	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1219	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1220	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1221	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1222	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1223	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1224	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1225	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1226	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1227	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1228	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1229	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1231	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1232	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1233	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1234	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1235	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1236	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1237	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1238	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1239	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1240	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1241	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1242	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1243	#121	C₂³×C₈₉	1	4	yes	—
1244	#121	C₂³×C₈₉	1	4	yes	—
1245	#121	C₂³×C₈₉	1	8	yes	—
1246	#121	C₂³×C₈₉	1	2	yes	—
1247	#121	C₂³×C₈₉	1	2	yes	—
1248	#121	C₂³×C₈₉	1	2	yes	—
1249	#121	C₂³×C₈₉	1	2	yes	—
1250	#121	C₂³×C₈₉	1	2	yes	—
1251	#121	C₂³×C₈₉	1	2	yes	—
1252	#121	C₂³×C₈₉	1	2	yes	—
1253	#121	C₂³×C₈₉	1	8	yes	—
1254	#121	C₂³×C₈₉	1	4	yes	—
1255	#121	C₂³×C₈₉	1	4	yes	—
1256	#121	C₂³×C₈₉	1	8	yes	—
1257	#121	C₂³×C₈₉	1	4	yes	—
1258	#121	C₂³×C₈₉	1	4	yes	—
1259	#121	C₂³×C₈₉	1	2	yes	—
1260	#121	C₂³×C₈₉	1	8	yes	—
1261	#121	C₂³×C₈₉	1	8	yes	—
1262	#121	C₂³×C₈₉	1	4	yes	—
1263	#121	C₂³×C₈₉	1	4	yes	—
1264	#121	C₂³×C₈₉	1	4	yes	—
1265	#121	C₂³×C₈₉	1	2	yes	—
1266	#121	C₂³×C₈₉	1	2	yes	—
1267	#121	C₂³×C₈₉	1	4	yes	—
1268	#121	C₂³×C₈₉	1	2	yes	—
1269	#121	C₂³×C₈₉	1	8	yes	—
1270	#121	C₂³×C₈₉	1	8	yes	—
1271	#121	C₂³×C₈₉	1	8	yes	—
1272	#121	C₂³×C₈₉	1	8	yes	—
1273	#121	C₂³×C₈₉	1	4	yes	—
1274	#121	C₂³×C₈₉	1	2	yes	—
1275	#121	C₂³×C₈₉	1	2	yes	—
1276	#121	C₂³×C₈₉	1	2	yes	—
1277	#121	C₂³×C₈₉	1	2	yes	—
1278	#121	C₂³×C₈₉	1	4	yes	—
1279	#121	C₂³×C₈₉	1	4	yes	—
1280	#121	C₂³×C₈₉	1	4	yes	—
1281	#121	C₂³×C₈₉	1	4	yes	—
1282	#121	C₂³×C₈₉	1	8	yes	—
1283	#121	C₂³×C₈₉	1	8	yes	—
1284	#121	C₂³×C₈₉	1	8	yes	—
1285	#121	C₂³×C₈₉	1	8	yes	—
1286	#121	C₂³×C₈₉	1	8	yes	—
1287	#121	C₂³×C₈₉	1	8	yes	—
1288	#121	C₂³×C₈₉	1	8	yes	—
1289	#121	C₂³×C₈₉	1	8	yes	—
1290	#120	C₂³×C₈₉	1	4	yes	—
1291	#120	C₂³×C₈₉	1	4	yes	—
1292	#120	C₂³×C₈₉	1	8	yes	—
1293	#120	C₂³×C₈₉	1	4	yes	—
1294	#120	C₂³×C₈₉	1	8	yes	—
1295	#120	C₂³×C₈₉	1	8	yes	—
1296	#120	C₂³×C₈₉	1	4	yes	—
1297	#120	C₂³×C₈₉	1	8	yes	—
1298	#120	C₂³×C₈₉	1	4	yes	—
1299	#120	C₂³×C₈₉	1	4	yes	—
1300	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1301	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1302	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1303	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1304	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1305	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1306	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1307	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1308	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1309	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1310	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1311	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1312	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1313	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1314	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1315	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1316	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1317	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1318	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1319	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1320	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1321	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1322	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1323	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1324	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1325	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1326	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1327	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1328	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1329	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1330	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1331	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1332	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1333	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1334	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1335	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1336	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1337	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1338	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1339	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1340	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1341	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1342	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1343	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1344	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1345	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1346	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1347	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1348	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1349	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1350	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1351	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1352	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1353	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1354	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1355	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1356	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1357	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1358	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1359	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1360	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1361	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1362	#117	C₂³×C₈₉	1	1	yes	characteristic
1363	#117	C₂³×C₈₉	1	2	yes	—
1364	#117	C₂³×C₈₉	1	4	yes	—
1365	#117	C₂³×C₈₉	1	2	yes	—
1366	#117	C₂³×C₈₉	1	2	yes	—
1367	#117	C₂³×C₈₉	1	4	yes	—
1368	#117	C₂³×C₈₉	1	1	yes	characteristic
1369	#117	C₂³×C₈₉	1	2	yes	—
1370	#117	C₂³×C₈₉	1	2	yes	—
1371	#117	C₂³×C₈₉	1	2	yes	—
1372	#117	C₂³×C₈₉	1	4	yes	—
1373	#117	C₂³×C₈₉	1	8	yes	—
1374	#117	C₂³×C₈₉	1	4	yes	—
1375	#117	C₂³×C₈₉	1	4	yes	—
1376	#117	C₂³×C₈₉	1	4	yes	—
1377	#117	C₂³×C₈₉	1	8	yes	—
1378	#117	C₂³×C₈₉	1	4	yes	—
1379	#117	C₂³×C₈₉	1	4	yes	—
1380	#117	C₂³×C₈₉	1	8	yes	—
1381	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1383	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1384	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1385	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1386	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1387	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1388	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1389	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1390	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1391	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1392	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1393	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1394	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1395	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1396	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1397	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1398	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1399	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1400	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1401	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1402	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1403	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1404	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1405	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1406	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1407	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1408	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1409	#41	—	2	4	no	—
1410	#41	—	2	8	no	—
1411	#41	—	2	4	no	—
1412	#41	—	4	8	no	—
1413	#41	—	4	8	no	—
1414	#41	—	4	8	no	—
1415	#41	—	4	16	no	—
1416	#41	—	4	8	no	—
1417	#41	—	4	8	no	—
1418	#41	—	4	8	no	—
1419	#41	—	4	8	no	—
1420	#41	—	4	4	no	—
1421	#41	—	4	4	no	—
1422	#41	—	4	8	no	—
1423	#41	—	4	8	no	—
1424	#41	—	4	8	no	—
1425	#41	—	4	4	no	—
1426	C₂×Q₈	—	2	8	no	—
1427	C₂×Q₈	—	4	4	no	—
1428	C₂×Q₈	—	4	8	no	—
1429	C₂×Q₈	—	4	8	no	—
1430	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1431	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1432	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1433	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1434	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1435	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1436	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1437	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1438	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1439	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1440	C₂×D₄	—	2	4	no	—
1441	C₂×D₄	—	4	4	no	—
1442	C₂×D₄	—	4	2	no	—
1443	C₂×D₄	—	4	4	no	—
1444	C₂×D₄	—	4	8	no	—
1445	C₂×D₄	—	4	8	no	—
1446	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1447	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1448	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1449	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1450	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1451	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1452	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1453	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1454	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1455	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1456	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1457	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1458	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1459	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1460	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1461	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1462	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1463	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1464	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1465	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1466	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1467	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1468	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1469	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1470	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1471	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1472	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1473	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1474	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1475	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1476	C₂²×C₄	—	2	8	no	—
1477	C₂²×C₄	—	4	8	no	—
1478	C₂²×C₄	—	4	4	no	—
1479	C₂²×C₄	—	4	8	no	—
1480	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1481	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1482	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1483	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1484	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1485	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1486	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1487	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1488	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1489	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1490	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1491	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1492	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1493	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1494	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1495	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1496	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1497	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1498	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1499	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1500	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1501	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1502	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1503	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1504	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1505	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1506	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1507	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1508	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1510	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1511	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1512	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1514	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1515	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1516	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1517	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1518	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1519	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1520	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1521	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1522	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1523	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1524	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1525	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1526	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1527	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1528	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1529	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1530	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1531	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1532	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1533	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1534	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1535	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1536	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1537	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1538	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1539	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1540	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1541	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1542	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1543	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1544	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1545	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1546	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1547	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1548	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1549	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1550	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1551	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1552	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1553	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1554	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1555	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1556	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1557	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1558	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1559	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1560	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1561	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1562	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1563	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1564	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1565	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1566	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1567	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1568	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1569	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1570	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1571	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1572	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1573	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1574	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1575	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1576	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1577	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1578	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1579	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1580	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1581	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1582	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1583	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1584	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1585	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1586	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1587	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1588	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1589	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1590	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1591	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1592	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1593	C₄²	C₂⁴×C₈₉	1	2	yes	—
1594	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1595	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1596	C₄²	C₂⁴×C₈₉	1	4	yes	—
1597	C₄²	C₂⁴×C₈₉	1	4	yes	—
1598	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1599	C₄²	C₂⁴×C₈₉	1	2	yes	—
1600	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1601	C₄²	C₂⁴×C₈₉	1	2	yes	—
1602	C₄²	C₂⁴×C₈₉	1	2	yes	—
1603	C₄²	C₂⁴×C₈₉	1	4	yes	—
1604	C₄²	C₂⁴×C₈₉	1	2	yes	—
1605	C₄²	C₂⁴×C₈₉	1	2	yes	—
1606	C₄²	C₂⁴×C₈₉	1	8	yes	—
1607	C₄²	C₂⁴×C₈₉	1	8	yes	—
1608	C₄²	C₂⁴×C₈₉	1	8	yes	—
1609	C₂³	—	2	4	no	—
1610	C₂³	—	2	4	no	—
1611	C₂³	—	4	2	no	—
1612	C₂³	—	4	2	no	—
1613	C₂³	—	4	4	no	—
1614	C₂³	—	4	2	no	—
1615	C₂³	—	4	4	no	—
1616	C₂³	—	4	2	no	—
1617	C₂³	—	4	4	no	—
1618	C₂³	C₂⁵×C₈₉	1	2	yes	—
1619	C₂³	C₂⁵×C₈₉	1	2	yes	—
1620	C₂³	C₂⁵×C₈₉	1	2	yes	—
1621	C₂³	C₂⁵×C₈₉	1	4	yes	—
1622	C₂³	C₂⁵×C₈₉	1	4	yes	—
1623	C₂³	C₂⁵×C₈₉	1	2	yes	—
1624	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1625	Q₈	—	2	8	no	—
1626	Q₈	—	2	8	no	—
1627	Q₈	—	2	2	no	—
1628	Q₈	—	2	4	no	—
1629	Q₈	—	2	2	no	—
1630	Q₈	—	2	4	no	—
1631	Q₈	—	4	8	no	—
1632	Q₈	—	4	4	no	—
1633	Q₈	—	4	2	no	—
1634	Q₈	—	4	4	no	—
1635	D₄	—	2	4	no	—
1636	D₄	—	2	8	no	—
1637	D₄	—	2	4	no	—
1638	D₄	—	2	4	no	—
1639	D₄	—	2	4	no	—
1640	D₄	—	2	2	no	—
1641	D₄	—	2	4	no	—
1642	D₄	—	2	2	no	—
1643	D₄	—	2	2	no	—
1644	D₄	—	2	2	no	—
1645	D₄	—	2	4	no	—
1646	D₄	—	4	2	no	—
1647	D₄	—	4	4	no	—
1648	D₄	—	4	4	no	—
1649	D₄	—	4	4	no	—
1650	D₄	—	4	4	no	—
1651	D₄	—	4	8	no	—
1652	D₄	—	4	8	no	—
1653	D₄	—	4	4	no	—
1654	D₄	—	4	2	no	—
1655	D₄	—	4	4	no	—
1656	D₄	—	4	4	no	—
1657	D₄	—	4	4	no	—
1658	D₄	—	4	8	no	—
1659	D₄	—	4	4	no	—
1660	D₄	—	4	4	no	—
1661	D₄	—	4	4	no	—
1662	D₄	—	4	8	no	—
1663	D₄	—	4	4	no	—
1664	D₄	—	4	8	no	—
1665	C₂×C₄	—	2	4	no	—
1666	C₂×C₄	—	2	8	no	—
1667	C₂×C₄	—	2	4	no	—
1668	C₂×C₄	—	2	4	no	—
1669	C₂×C₄	—	2	4	no	—
1670	C₂×C₄	—	2	4	no	—
1671	C₂×C₄	—	2	4	no	—
1672	C₂×C₄	—	2	8	no	—
1673	C₂×C₄	—	2	4	no	—
1674	C₂×C₄	—	2	2	no	—
1675	C₂×C₄	—	2	8	no	—
1676	C₂×C₄	—	2	4	no	—
1677	C₂×C₄	—	2	4	no	—
1678	C₂×C₄	—	4	4	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	4	no	—
1681	C₂×C₄	—	4	4	no	—
1682	C₂×C₄	—	4	4	no	—
1683	C₂×C₄	—	4	8	no	—
1684	C₂×C₄	—	4	8	no	—
1685	C₂×C₄	—	4	2	no	—
1686	C₂×C₄	—	4	1	no	—
1687	C₂×C₄	—	4	4	no	—
1688	C₂×C₄	—	4	2	no	—
1689	C₂×C₄	—	4	8	no	—
1690	C₂×C₄	—	4	8	no	—
1691	C₂×C₄	—	4	8	no	—
1692	C₂×C₄	—	4	4	no	—
1693	C₂×C₄	H(5,𝔽₂)×C₈₉	1	4	yes	—
1694	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1695	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1696	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1697	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1698	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1699	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1700	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1701	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1702	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1703	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1704	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1705	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1706	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1707	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1708	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1709	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1710	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1711	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1712	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	2	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	2	2	no	—
1718	C₂²	—	2	4	no	—
1719	C₂²	—	2	2	no	—
1720	C₂²	—	2	4	no	—
1721	C₂²	—	2	4	no	—
1722	C₂²	—	2	2	no	—
1723	C₂²	—	2	2	no	—
1724	C₂²	—	2	2	no	—
1725	C₂²	—	2	4	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	2	no	—
1728	C₂²	—	2	2	no	—
1729	C₂²	—	2	2	no	—
1730	C₂²	—	2	4	no	—
1731	C₂²	—	2	4	no	—
1732	C₂²	—	2	2	no	—
1733	C₂²	—	4	8	no	—
1734	C₂²	—	8	4	no	—
1735	C₂²	—	8	8	no	—
1736	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1737	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1738	C₄	—	2	2	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	2	no	—
1741	C₄	—	2	4	no	—
1742	C₄	—	2	2	no	—
1743	C₄	—	2	8	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	4	no	—
1746	C₄	—	2	2	no	—
1747	C₄	—	2	2	no	—
1748	C₄	—	2	4	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	2	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	2	2	no	—
1753	C₄	—	2	4	no	—
1754	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1755	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1756	C₄	#585×C₈₉	1	2	yes	—
1757	C₂	—	2	2	no	—
1758	C₂	—	4	2	no	—
1759	C₂	—	4	4	no	—
1760	C₂	—	4	2	no	—
1761	C₂	—	4	4	no	—
1762	C₂	—	4	2	no	—
1763	C₂	—	4	2	no	—
1764	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1765	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1766	C₂	C₈₉×2₋¹⁺⁶	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×#3562	C₂	semidirect
2. C₈₉×#3554	C₂	semidirect
3. C₈₉×#3552	C₂	semidirect
4. C₈₉×#3548	C₂	semidirect
5. C₈₉×#3547	C₂	semidirect
6. C₈₉×#3546	C₂	semidirect
7. C₈₉×#3542	C₂	semidirect
8. C₈₉×#3541	C₂	semidirect
9. C₈₉×#3539	C₂	semidirect
10. C₈₉×#3533	C₂	semidirect
11. C₈₉×#3520	C₂	semidirect
12. C₈₉×#3517	C₂	semidirect
13. C₈₉×#3511	C₂	semidirect
14. C₈₉×#3509	C₂	semidirect
15. C₈₉×#3506	C₂	semidirect
16. C₈₉×#3506	C₂	semidirect
17. C₈₉×#3499	C₂	semidirect
18. C₈₉×#3495	C₂	semidirect
19. C₈₉×#3492	C₂	semidirect
20. C₈₉×#3489	C₂	semidirect
21. C₈₉×#3487	C₂	semidirect
22. C₈₉×#3475	C₂	semidirect
23. D₄×#41×C₈₉	C₂	semidirect
24. C₂×#547×C₈₉	C₂	semidirect
25. C₈₉×#3460	C₂	semidirect
26. C₈₉×#3449	C₂	semidirect
27. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
29. C₂²×#41×C₈₉	C₂²	semidirect
30. #563×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. #562×C₈₉	C₂²	semidirect
33. #562×C₈₉	C₂²	semidirect
34. #560×C₈₉	C₂²	semidirect
35. #560×C₈₉	C₂²	semidirect
36. #559×C₈₉	C₂²	semidirect
37. #559×C₈₉	C₂²	semidirect
38. #557×C₈₉	C₂²	semidirect
39. #557×C₈₉	C₂²	semidirect
40. #556×C₈₉	C₂²	semidirect
41. #556×C₈₉	C₂²	semidirect
42. #556×C₈₉	C₂²	semidirect
43. #556×C₈₉	C₂²	semidirect
44. #556×C₈₉	C₂²	semidirect
45. #555×C₈₉	C₂²	semidirect
46. #555×C₈₉	C₂²	semidirect
47. #555×C₈₉	C₂²	semidirect
48. #554×C₈₉	C₂²	semidirect
49. #554×C₈₉	C₂²	semidirect
50. #554×C₈₉	C₂²	semidirect
51. #554×C₈₉	C₂²	semidirect
52. #554×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. #552×C₈₉	C₂²	semidirect
62. #552×C₈₉	C₂²	semidirect
63. #552×C₈₉	C₂²	semidirect
64. #552×C₈₉	C₂²	semidirect
65. #552×C₈₉	C₂²	semidirect
66. #552×C₈₉	C₂²	semidirect
67. #552×C₈₉	C₂²	semidirect
68. #551×C₈₉	C₂²	semidirect
69. #551×C₈₉	C₂²	semidirect
70. #551×C₈₉	C₂²	semidirect
71. #550×C₈₉	C₂²	semidirect
72. #550×C₈₉	C₂²	semidirect
73. #550×C₈₉	C₂²	semidirect
74. #550×C₈₉	C₂²	semidirect
75. #550×C₈₉	C₂²	semidirect
76. #550×C₈₉	C₂²	semidirect
77. #550×C₈₉	C₂²	semidirect
78. D₄×Q₈×C₈₉	C₂²	semidirect
79. D₄×Q₈×C₈₉	C₂²	semidirect
80. D₄×Q₈×C₈₉	C₂²	semidirect
81. D₄×Q₈×C₈₉	C₂²	semidirect
82. #548×C₈₉	C₂²	semidirect
83. #548×C₈₉	C₂²	semidirect
84. #548×C₈₉	C₂²	semidirect
85. #548×C₈₉	C₂²	semidirect
86. #548×C₈₉	C₂²	semidirect
87. #548×C₈₉	C₂²	semidirect
91. #547×C₈₉	C₂²	semidirect
92. #547×C₈₉	C₂²	semidirect
93. #547×C₈₉	C₂²	semidirect
94. #547×C₈₉	C₂²	semidirect
95. #547×C₈₉	C₂²	semidirect
96. #547×C₈₉	C₂²	semidirect
97. #547×C₈₉	C₂²	semidirect
98. #547×C₈₉	C₂²	semidirect
99. #547×C₈₉	C₂²	semidirect
100. #547×C₈₉	C₂²	semidirect
101. #547×C₈₉	C₂²	semidirect
102. #547×C₈₉	C₂²	semidirect
103. #547×C₈₉	C₂²	semidirect
106. #546×C₈₉	C₂²	semidirect
107. #546×C₈₉	C₂²	semidirect
108. #546×C₈₉	C₂²	semidirect
109. #546×C₈₉	C₂²	semidirect
111. D₄²×C₈₉	C₂²	semidirect
112. #544×C₈₉	C₂²	semidirect
113. #544×C₈₉	C₂²	semidirect
114. #542×C₈₉	C₂²	semidirect
115. #542×C₈₉	C₂²	semidirect
116. #542×C₈₉	C₂²	semidirect
117. #542×C₈₉	C₂²	semidirect
118. #542×C₈₉	C₂²	semidirect
119. #542×C₈₉	C₂²	semidirect
120. #541×C₈₉	C₂²	semidirect
121. #541×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. #539×C₈₉	C₂²	semidirect
129. #539×C₈₉	C₂²	semidirect
130. #539×C₈₉	C₂²	semidirect
131. #539×C₈₉	C₂²	semidirect
132. #538×C₈₉	C₂²	semidirect
133. #538×C₈₉	C₂²	semidirect
134. #538×C₈₉	C₂²	semidirect
135. #538×C₈₉	C₂²	semidirect
136. #538×C₈₉	C₂²	semidirect
138. #537×C₈₉	C₂²	semidirect
139. #537×C₈₉	C₂²	semidirect
140. #537×C₈₉	C₂²	semidirect
141. #537×C₈₉	C₂²	semidirect
142. #537×C₈₉	C₂²	semidirect
144. #536×C₈₉	C₂²	semidirect
145. #536×C₈₉	C₂²	semidirect
146. #536×C₈₉	C₂²	semidirect
147. #536×C₈₉	C₂²	semidirect
149. #535×C₈₉	C₂²	semidirect
150. #535×C₈₉	C₂²	semidirect
151. #535×C₈₉	C₂²	semidirect
152. #535×C₈₉	C₂²	semidirect
153. #535×C₈₉	C₂²	semidirect
154. #534×C₈₉	C₂²	semidirect
155. #533×C₈₉	C₂²	semidirect
156. #533×C₈₉	C₂²	semidirect
157. #533×C₈₉	C₂²	semidirect
158. #533×C₈₉	C₂²	semidirect
160. #532×C₈₉	C₂²	semidirect
161. #532×C₈₉	C₂²	semidirect
162. #532×C₈₉	C₂²	semidirect
163. #532×C₈₉	C₂²	semidirect
164. #532×C₈₉	C₂²	semidirect
165. #532×C₈₉	C₂²	semidirect
166. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
167. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
168. #529×C₈₉	C₂²	semidirect
169. #529×C₈₉	C₂²	semidirect
170. #529×C₈₉	C₂²	semidirect
171. #529×C₈₉	C₂²	semidirect
172. #529×C₈₉	C₂²	semidirect
174. #525×C₈₉	C₂²	semidirect
175. #525×C₈₉	C₂²	semidirect
176. #525×C₈₉	C₂²	semidirect
177. #525×C₈₉	C₂²	semidirect
178. #525×C₈₉	C₂²	semidirect
179. #525×C₈₉	C₂²	semidirect
180. #525×C₈₉	C₂²	semidirect
181. #525×C₈₉	C₂²	semidirect
182. #525×C₈₉	C₂²	semidirect
183. C₂×#123×C₈₉	C₂²	semidirect
184. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
185. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
187. #520×C₈₉	C₂²	semidirect
188. #520×C₈₉	C₂²	semidirect
189. #520×C₈₉	C₂²	semidirect
190. #519×C₈₉	C₂²	semidirect
192. C₄×#41×C₈₉	C₂²	semidirect
193. C₄×#41×C₈₉	C₂²	semidirect
195. C₂×C₄×D₄×C₈₉	C₂²	semidirect
196. C₂×C₄×D₄×C₈₉	C₂²	semidirect
197. C₂×#117×C₈₉	C₂²	semidirect
198. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
873. #62925	C₈₉	direct (N × H)
884. #3562	C₂×C₈₉	semidirect
885. #3554	C₂×C₈₉	semidirect
886. #3552	C₂×C₈₉	semidirect
887. #3548	C₂×C₈₉	semidirect
888. #3547	C₂×C₈₉	semidirect
889. #3546	C₂×C₈₉	semidirect
890. #3542	C₂×C₈₉	semidirect
891. #3541	C₂×C₈₉	semidirect
892. #3539	C₂×C₈₉	semidirect
893. #3533	C₂×C₈₉	semidirect
894. #3520	C₂×C₈₉	semidirect
895. #3517	C₂×C₈₉	semidirect
896. #3511	C₂×C₈₉	semidirect
897. #3509	C₂×C₈₉	semidirect
898. #3506	C₂×C₈₉	semidirect
899. #3506	C₂×C₈₉	semidirect
900. #3499	C₂×C₈₉	semidirect
901. #3495	C₂×C₈₉	semidirect
902. #3492	C₂×C₈₉	semidirect
903. #3489	C₂×C₈₉	semidirect
904. #3487	C₂×C₈₉	semidirect
905. #3475	C₂×C₈₉	semidirect
906. D₄×#41	C₂×C₈₉	semidirect
907. C₂×#547	C₂×C₈₉	semidirect
908. #3460	C₂×C₈₉	semidirect
909. #3449	C₂×C₈₉	semidirect
910. C₈₉	#62925	direct (N × H)
911. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
913. C₂²×#41	C₂²×C₈₉	semidirect
914. #563	C₂²×C₈₉	semidirect
915. #562	C₂²×C₈₉	semidirect
916. #562	C₂²×C₈₉	semidirect
917. #562	C₂²×C₈₉	semidirect
918. #560	C₂²×C₈₉	semidirect
919. #560	C₂²×C₈₉	semidirect
920. #559	C₂²×C₈₉	semidirect
921. #559	C₂²×C₈₉	semidirect
922. #557	C₂²×C₈₉	semidirect
923. #557	C₂²×C₈₉	semidirect
924. #556	C₂²×C₈₉	semidirect
925. #556	C₂²×C₈₉	semidirect
926. #556	C₂²×C₈₉	semidirect
927. #556	C₂²×C₈₉	semidirect
928. #556	C₂²×C₈₉	semidirect
929. #555	C₂²×C₈₉	semidirect
930. #555	C₂²×C₈₉	semidirect
931. #555	C₂²×C₈₉	semidirect
932. #554	C₂²×C₈₉	semidirect
933. #554	C₂²×C₈₉	semidirect
934. #554	C₂²×C₈₉	semidirect
935. #554	C₂²×C₈₉	semidirect
936. #554	C₂²×C₈₉	semidirect
937. #553	C₂²×C₈₉	semidirect
938. #553	C₂²×C₈₉	semidirect
939. #553	C₂²×C₈₉	semidirect
940. #553	C₂²×C₈₉	semidirect
941. #553	C₂²×C₈₉	semidirect
942. #553	C₂²×C₈₉	semidirect
943. #553	C₂²×C₈₉	semidirect
944. #553	C₂²×C₈₉	semidirect
945. #552	C₂²×C₈₉	semidirect
946. #552	C₂²×C₈₉	semidirect
947. #552	C₂²×C₈₉	semidirect
948. #552	C₂²×C₈₉	semidirect
949. #552	C₂²×C₈₉	semidirect
950. #552	C₂²×C₈₉	semidirect
951. #552	C₂²×C₈₉	semidirect
952. #551	C₂²×C₈₉	semidirect
953. #551	C₂²×C₈₉	semidirect
954. #551	C₂²×C₈₉	semidirect
955. #550	C₂²×C₈₉	semidirect
956. #550	C₂²×C₈₉	semidirect
957. #550	C₂²×C₈₉	semidirect
958. #550	C₂²×C₈₉	semidirect
959. #550	C₂²×C₈₉	semidirect
960. #550	C₂²×C₈₉	semidirect
961. #550	C₂²×C₈₉	semidirect
962. D₄×Q₈	C₂²×C₈₉	semidirect
963. D₄×Q₈	C₂²×C₈₉	semidirect
964. D₄×Q₈	C₂²×C₈₉	semidirect
965. D₄×Q₈	C₂²×C₈₉	semidirect
966. #548	C₂²×C₈₉	semidirect
967. #548	C₂²×C₈₉	semidirect
968. #548	C₂²×C₈₉	semidirect
969. #548	C₂²×C₈₉	semidirect
970. #548	C₂²×C₈₉	semidirect
971. #548	C₂²×C₈₉	semidirect
975. #547	C₂²×C₈₉	semidirect
976. #547	C₂²×C₈₉	semidirect
977. #547	C₂²×C₈₉	semidirect
978. #547	C₂²×C₈₉	semidirect
979. #547	C₂²×C₈₉	semidirect
980. #547	C₂²×C₈₉	semidirect
981. #547	C₂²×C₈₉	semidirect
982. #547	C₂²×C₈₉	semidirect
983. #547	C₂²×C₈₉	semidirect
984. #547	C₂²×C₈₉	semidirect
985. #547	C₂²×C₈₉	semidirect
986. #547	C₂²×C₈₉	semidirect
987. #547	C₂²×C₈₉	semidirect
990. #546	C₂²×C₈₉	semidirect
991. #546	C₂²×C₈₉	semidirect
992. #546	C₂²×C₈₉	semidirect
993. #546	C₂²×C₈₉	semidirect
995. D₄²	C₂²×C₈₉	semidirect
996. #544	C₂²×C₈₉	semidirect
997. #544	C₂²×C₈₉	semidirect
998. #542	C₂²×C₈₉	semidirect
999. #542	C₂²×C₈₉	semidirect
1000. #542	C₂²×C₈₉	semidirect
1001. #542	C₂²×C₈₉	semidirect
1002. #542	C₂²×C₈₉	semidirect
1003. #542	C₂²×C₈₉	semidirect
1004. #541	C₂²×C₈₉	semidirect
1005. #541	C₂²×C₈₉	semidirect
1006. #540	C₂²×C₈₉	semidirect
1007. #540	C₂²×C₈₉	semidirect
1008. #540	C₂²×C₈₉	semidirect
1009. #540	C₂²×C₈₉	semidirect
1010. #540	C₂²×C₈₉	semidirect
1011. #540	C₂²×C₈₉	semidirect
1012. #539	C₂²×C₈₉	semidirect
1013. #539	C₂²×C₈₉	semidirect
1014. #539	C₂²×C₈₉	semidirect
1015. #539	C₂²×C₈₉	semidirect
1016. #538	C₂²×C₈₉	semidirect
1017. #538	C₂²×C₈₉	semidirect
1018. #538	C₂²×C₈₉	semidirect
1019. #538	C₂²×C₈₉	semidirect
1020. #538	C₂²×C₈₉	semidirect
1022. #537	C₂²×C₈₉	semidirect
1023. #537	C₂²×C₈₉	semidirect
1024. #537	C₂²×C₈₉	semidirect
1025. #537	C₂²×C₈₉	semidirect
1026. #537	C₂²×C₈₉	semidirect
1028. #536	C₂²×C₈₉	semidirect
1029. #536	C₂²×C₈₉	semidirect
1030. #536	C₂²×C₈₉	semidirect
1031. #536	C₂²×C₈₉	semidirect
1033. #535	C₂²×C₈₉	semidirect
1034. #535	C₂²×C₈₉	semidirect
1035. #535	C₂²×C₈₉	semidirect
1036. #535	C₂²×C₈₉	semidirect
1037. #535	C₂²×C₈₉	semidirect
1038. #534	C₂²×C₈₉	semidirect
1039. #533	C₂²×C₈₉	semidirect
1040. #533	C₂²×C₈₉	semidirect
1041. #533	C₂²×C₈₉	semidirect
1042. #533	C₂²×C₈₉	semidirect
1044. #532	C₂²×C₈₉	semidirect
1045. #532	C₂²×C₈₉	semidirect
1046. #532	C₂²×C₈₉	semidirect
1047. #532	C₂²×C₈₉	semidirect
1048. #532	C₂²×C₈₉	semidirect
1049. #532	C₂²×C₈₉	semidirect
1050. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1051. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1052. #529	C₂²×C₈₉	semidirect
1053. #529	C₂²×C₈₉	semidirect
1054. #529	C₂²×C₈₉	semidirect
1055. #529	C₂²×C₈₉	semidirect
1056. #529	C₂²×C₈₉	semidirect
1058. #525	C₂²×C₈₉	semidirect
1059. #525	C₂²×C₈₉	semidirect
1060. #525	C₂²×C₈₉	semidirect
1061. #525	C₂²×C₈₉	semidirect
1062. #525	C₂²×C₈₉	semidirect
1063. #525	C₂²×C₈₉	semidirect
1064. #525	C₂²×C₈₉	semidirect
1065. #525	C₂²×C₈₉	semidirect
1066. #525	C₂²×C₈₉	semidirect
1067. C₂×#123	C₂²×C₈₉	semidirect
1068. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1069. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1071. #520	C₂²×C₈₉	semidirect
1072. #520	C₂²×C₈₉	semidirect
1073. #520	C₂²×C₈₉	semidirect
1074. #519	C₂²×C₈₉	semidirect
1076. C₄×#41	C₂²×C₈₉	semidirect
1077. C₄×#41	C₂²×C₈₉	semidirect
1079. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1080. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1081. C₂×#117	C₂²×C₈₉	semidirect
1082. C₂²×C₄⋊C₄	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×#3562	2
C₈₉×#3554	2
C₈₉×#3552	2
C₈₉×#3548	2
C₈₉×#3547	2
C₈₉×#3546	2
C₈₉×#3542	2
C₈₉×#3541	2
C₈₉×#3539	2
C₈₉×#3533	2
C₈₉×#3520	2
C₈₉×#3517	2
C₈₉×#3511	2
C₈₉×#3509	2
C₈₉×#3506	2
C₈₉×#3499	2
C₈₉×#3495	2
C₈₉×#3492	2
C₈₉×#3489	2
C₈₉×#3487	2
C₈₉×#3475	2
D₄×#41×C₈₉	2
C₂×#547×C₈₉	2
C₈₉×#3460	2
C₈₉×#3449	2
#62925	89

Subgroups — C89×#62925 #36440773

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62925 #36440773