Subgroups — C₈₉×#63025 #36440873

Order 22784.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1670 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	4	yes	maximal, complemented
2	C₈₉×#3564	C₂	1	8	yes	maximal, complemented
3	C₈₉×#3561	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3552	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3523	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3521	C₂	1	4	yes	maximal, complemented
11	C₈₉×#3520	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3518	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3516	C₂	1	4	yes	maximal, complemented
14	C₈₉×#3514	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3511	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3509	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3507	C₂	1	2	yes	maximal, complemented
18	C₈₉×#3503	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3501	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3495	C₂	1	4	yes	maximal, complemented
21	C₈₉×#3482	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3482	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3481	C₂	1	1	yes	maximal, characteristic, complemented
24	Q₈×#41×C₈₉	C₂	1	2	yes	maximal, complemented
25	C₈₉×#3475	C₂	1	2	yes	maximal, complemented
26	C₂×#556×C₈₉	C₂	1	2	yes	maximal, complemented
27	#563×C₈₉	C₂²	1	8	yes	complemented
28	#563×C₈₉	C₂²	1	4	yes	complemented
29	#563×C₈₉	C₂²	1	8	yes	complemented
30	#563×C₈₉	C₂²	1	8	yes	complemented
31	#562×C₈₉	C₂²	1	8	yes	complemented
32	#559×C₈₉	C₂²	1	1	yes	characteristic
33	#559×C₈₉	C₂²	1	2	yes	—
34	Q₈²×C₈₉	C₂²	1	2	yes	complemented
35	Q₈²×C₈₉	C₂²	1	2	yes	complemented
36	#557×C₈₉	C₂²	1	2	yes	complemented
37	#557×C₈₉	C₂²	1	4	yes	complemented
38	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
40	#557×C₈₉	C₂²	1	2	yes	complemented
41	#557×C₈₉	C₂²	1	2	yes	complemented
42	#557×C₈₉	C₂²	1	4	yes	complemented
43	#556×C₈₉	C₂²	1	1	yes	characteristic
44	#556×C₈₉	C₂²	1	2	yes	—
45	#556×C₈₉	C₂²	1	4	yes	—
46	#556×C₈₉	C₂²	1	2	yes	—
47	#556×C₈₉	C₂²	1	4	yes	complemented
48	#556×C₈₉	C₂²	1	4	yes	complemented
49	#556×C₈₉	C₂²	1	2	yes	complemented
50	#556×C₈₉	C₂²	1	4	yes	complemented
51	#556×C₈₉	C₂²	1	2	yes	complemented
52	#556×C₈₉	C₂²	1	8	yes	complemented
53	#556×C₈₉	C₂²	1	2	yes	complemented
54	#556×C₈₉	C₂²	1	2	yes	complemented
55	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
56	#556×C₈₉	C₂²	1	2	yes	complemented
57	#556×C₈₉	C₂²	1	4	yes	complemented
58	#556×C₈₉	C₂²	1	4	yes	complemented
59	#556×C₈₉	C₂²	1	8	yes	complemented
60	#556×C₈₉	C₂²	1	4	yes	complemented
61	#555×C₈₉	C₂²	1	4	yes	—
62	#555×C₈₉	C₂²	1	2	yes	complemented
63	#554×C₈₉	C₂²	1	2	yes	—
64	#554×C₈₉	C₂²	1	1	yes	characteristic
65	#554×C₈₉	C₂²	1	4	yes	—
66	#554×C₈₉	C₂²	1	1	yes	characteristic
67	#554×C₈₉	C₂²	1	4	yes	complemented
68	#554×C₈₉	C₂²	1	8	yes	complemented
69	#554×C₈₉	C₂²	1	4	yes	complemented
70	#554×C₈₉	C₂²	1	4	yes	complemented
71	#554×C₈₉	C₂²	1	4	yes	complemented
72	#554×C₈₉	C₂²	1	2	yes	complemented
73	#554×C₈₉	C₂²	1	8	yes	complemented
74	#553×C₈₉	C₂²	1	2	yes	—
75	#553×C₈₉	C₂²	1	2	yes	—
76	#553×C₈₉	C₂²	1	4	yes	complemented
77	#553×C₈₉	C₂²	1	4	yes	complemented
78	#553×C₈₉	C₂²	1	8	yes	complemented
79	#552×C₈₉	C₂²	1	4	yes	complemented
80	#552×C₈₉	C₂²	1	4	yes	complemented
81	#552×C₈₉	C₂²	1	2	yes	complemented
82	#552×C₈₉	C₂²	1	2	yes	complemented
83	#552×C₈₉	C₂²	1	4	yes	complemented
84	#552×C₈₉	C₂²	1	4	yes	complemented
85	#552×C₈₉	C₂²	1	8	yes	complemented
86	#552×C₈₉	C₂²	1	4	yes	complemented
87	#552×C₈₉	C₂²	1	8	yes	complemented
88	#552×C₈₉	C₂²	1	4	yes	complemented
89	#552×C₈₉	C₂²	1	4	yes	complemented
90	#552×C₈₉	C₂²	1	8	yes	complemented
91	#551×C₈₉	C₂²	1	4	yes	—
92	#551×C₈₉	C₂²	1	8	yes	—
93	#551×C₈₉	C₂²	1	8	yes	complemented
94	#551×C₈₉	C₂²	1	8	yes	complemented
95	#551×C₈₉	C₂²	1	8	yes	complemented
96	D₄×Q₈×C₈₉	C₂²	1	2	yes	—
97	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
98	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
99	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
100	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
101	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
102	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
103	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
104	#548×C₈₉	C₂²	1	2	yes	—
105	#548×C₈₉	C₂²	1	4	yes	—
106	#548×C₈₉	C₂²	1	2	yes	complemented
107	#548×C₈₉	C₂²	1	4	yes	complemented
108	#548×C₈₉	C₂²	1	4	yes	complemented
109	#547×C₈₉	C₂²	1	1	yes	characteristic
110	#547×C₈₉	C₂²	1	1	yes	characteristic
111	#547×C₈₉	C₂²	1	2	yes	—
112	#547×C₈₉	C₂²	1	2	yes	complemented
113	#547×C₈₉	C₂²	1	2	yes	complemented
114	#546×C₈₉	C₂²	1	4	yes	—
115	#546×C₈₉	C₂²	1	2	yes	—
116	#546×C₈₉	C₂²	1	2	yes	—
117	#546×C₈₉	C₂²	1	4	yes	—
118	D₄²×C₈₉	C₂²	1	1	yes	characteristic
119	#544×C₈₉	C₂²	1	4	yes	complemented
120	#544×C₈₉	C₂²	1	4	yes	complemented
121	#544×C₈₉	C₂²	1	4	yes	complemented
122	#544×C₈₉	C₂²	1	2	yes	complemented
123	#543×C₈₉	C₂²	1	8	yes	complemented
124	#542×C₈₉	C₂²	1	4	yes	—
125	#542×C₈₉	C₂²	1	4	yes	—
126	#542×C₈₉	C₂²	1	8	yes	complemented
127	#542×C₈₉	C₂²	1	4	yes	complemented
128	#542×C₈₉	C₂²	1	8	yes	complemented
129	#542×C₈₉	C₂²	1	4	yes	complemented
130	#542×C₈₉	C₂²	1	4	yes	complemented
131	#542×C₈₉	C₂²	1	8	yes	complemented
132	#542×C₈₉	C₂²	1	4	yes	complemented
133	#541×C₈₉	C₂²	1	8	yes	complemented
134	#541×C₈₉	C₂²	1	4	yes	complemented
135	#541×C₈₉	C₂²	1	4	yes	complemented
136	#541×C₈₉	C₂²	1	8	yes	complemented
137	#541×C₈₉	C₂²	1	4	yes	complemented
138	#541×C₈₉	C₂²	1	4	yes	complemented
139	#541×C₈₉	C₂²	1	8	yes	complemented
140	#539×C₈₉	C₂²	1	8	yes	complemented
141	#539×C₈₉	C₂²	1	8	yes	complemented
142	#539×C₈₉	C₂²	1	8	yes	complemented
143	#538×C₈₉	C₂²	1	8	yes	—
144	#538×C₈₉	C₂²	1	8	yes	complemented
145	#537×C₈₉	C₂²	1	2	yes	complemented
146	#536×C₈₉	C₂²	1	2	yes	—
147	#536×C₈₉	C₂²	1	4	yes	complemented
148	#536×C₈₉	C₂²	1	4	yes	complemented
149	#533×C₈₉	C₂²	1	2	yes	complemented
150	#533×C₈₉	C₂²	1	8	yes	complemented
151	#533×C₈₉	C₂²	1	2	yes	complemented
152	#533×C₈₉	C₂²	1	4	yes	complemented
153	#533×C₈₉	C₂²	1	4	yes	complemented
154	#533×C₈₉	C₂²	1	2	yes	complemented
155	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#533×C₈₉	C₂²	1	2	yes	complemented
157	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#533×C₈₉	C₂²	1	2	yes	complemented
159	#533×C₈₉	C₂²	1	2	yes	complemented
160	#532×C₈₉	C₂²	1	1	yes	characteristic
161	#532×C₈₉	C₂²	1	2	yes	—
162	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
163	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
164	#529×C₈₉	C₂²	1	2	yes	—
165	#529×C₈₉	C₂²	1	2	yes	—
166	#529×C₈₉	C₂²	1	2	yes	—
167	#529×C₈₉	C₂²	1	4	yes	—
168	#529×C₈₉	C₂²	1	4	yes	complemented
169	#529×C₈₉	C₂²	1	8	yes	complemented
170	#529×C₈₉	C₂²	1	4	yes	complemented
171	#529×C₈₉	C₂²	1	2	yes	complemented
172	#529×C₈₉	C₂²	1	4	yes	complemented
173	#529×C₈₉	C₂²	1	8	yes	complemented
174	#529×C₈₉	C₂²	1	4	yes	complemented
175	C₂×#126×C₈₉	C₂²	1	8	yes	complemented
176	C₂×#124×C₈₉	C₂²	1	4	yes	—
177	#525×C₈₉	C₂²	1	4	yes	—
178	#525×C₈₉	C₂²	1	4	yes	complemented
179	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
180	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
181	#520×C₈₉	C₂²	1	2	yes	—
182	#520×C₈₉	C₂²	1	2	yes	complemented
183	#520×C₈₉	C₂²	1	4	yes	complemented
184	#519×C₈₉	C₂²	1	4	yes	complemented
185	#519×C₈₉	C₂²	1	2	yes	complemented
186	#518×C₈₉	C₂²	1	4	yes	—
187	C₄×#41×C₈₉	C₂²	1	4	yes	—
188	C₄×#41×C₈₉	C₂²	1	2	yes	—
189	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
190	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
191	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
192	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
194	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	—
197	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	—
198	C₂×#117×C₈₉	C₂²	1	4	yes	complemented
199	C₂×#41×C₈₉	C₂³	1	2	yes	—
200	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
201	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
202	C₂×#41×C₈₉	C₂³	1	2	yes	—
203	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
204	C₂×#41×C₈₉	C₂³	1	2	yes	—
205	C₂×#41×C₈₉	C₂³	1	4	yes	—
206	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
207	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
208	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
209	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
210	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
211	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
212	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
213	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
214	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
215	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
216	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
217	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
218	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
219	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
220	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
221	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
222	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
224	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
225	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
227	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
228	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
229	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
230	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
231	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
232	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
233	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
234	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
235	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
236	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
237	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
238	#127×C₈₉	C₂³	1	1	yes	characteristic
239	#126×C₈₉	C₂³	1	4	yes	—
240	#126×C₈₉	C₂³	1	8	yes	—
241	#126×C₈₉	C₂³	1	8	yes	—
242	#126×C₈₉	C₂³	1	8	yes	—
243	#126×C₈₉	C₂³	1	8	yes	—
244	#126×C₈₉	C₂³	1	8	yes	—
245	#126×C₈₉	C₂³	1	8	yes	—
246	#126×C₈₉	C₂³	1	8	yes	—
247	#126×C₈₉	C₂³	1	8	yes	—
248	#126×C₈₉	C₂³	1	4	yes	—
249	#126×C₈₉	C₂³	1	4	yes	—
250	#126×C₈₉	C₂³	1	4	yes	—
251	#126×C₈₉	C₂³	1	4	yes	—
252	#126×C₈₉	C₂³	1	4	yes	—
253	#126×C₈₉	C₂³	1	8	yes	—
254	#126×C₈₉	C₂³	1	8	yes	—
255	#126×C₈₉	C₂³	1	8	yes	—
256	#126×C₈₉	C₂³	1	4	yes	—
257	#126×C₈₉	C₂³	1	4	yes	—
258	#126×C₈₉	C₂³	1	8	yes	—
259	#126×C₈₉	C₂³	1	8	yes	—
260	#126×C₈₉	C₂³	1	8	yes	—
261	#126×C₈₉	C₂³	1	8	yes	—
262	#125×C₈₉	C₂³	1	2	yes	—
263	#125×C₈₉	C₂³	1	2	yes	—
264	#125×C₈₉	C₂³	1	2	yes	—
265	#125×C₈₉	C₂³	1	4	yes	—
266	#125×C₈₉	C₂³	1	8	yes	—
267	#125×C₈₉	C₂³	1	4	yes	—
268	#125×C₈₉	C₂³	1	8	yes	—
269	#125×C₈₉	C₂³	1	4	yes	—
270	#125×C₈₉	C₂³	1	2	yes	—
271	#125×C₈₉	C₂³	1	4	yes	—
272	#125×C₈₉	C₂³	1	4	yes	—
273	#125×C₈₉	C₂³	1	8	yes	—
274	#125×C₈₉	C₂³	1	8	yes	—
275	#125×C₈₉	C₂³	1	4	yes	—
276	#125×C₈₉	C₂³	1	4	yes	—
277	#125×C₈₉	C₂³	1	2	yes	—
278	#125×C₈₉	C₂³	1	8	yes	—
279	#125×C₈₉	C₂³	1	4	yes	—
280	#125×C₈₉	C₂³	1	4	yes	—
281	#125×C₈₉	C₂³	1	2	yes	—
282	#125×C₈₉	C₂³	1	8	yes	—
283	#125×C₈₉	C₂³	1	8	yes	—
284	#125×C₈₉	C₂³	1	8	yes	—
285	#125×C₈₉	C₂³	1	8	yes	—
286	#124×C₈₉	C₂³	1	2	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	2	yes	—
293	#124×C₈₉	C₂³	1	2	yes	—
294	#124×C₈₉	C₂³	1	8	yes	—
295	#124×C₈₉	C₂³	1	4	yes	—
296	#124×C₈₉	C₂³	1	4	yes	—
297	#124×C₈₉	C₂³	1	2	yes	—
298	#124×C₈₉	C₂³	1	8	yes	—
299	#124×C₈₉	C₂³	1	4	yes	—
300	#124×C₈₉	C₂³	1	2	yes	—
301	#124×C₈₉	C₂³	1	8	yes	—
302	#124×C₈₉	C₂³	1	8	yes	—
303	#123×C₈₉	C₂³	1	4	yes	—
304	#123×C₈₉	C₂³	1	4	yes	—
305	#123×C₈₉	C₂³	1	8	yes	—
306	#123×C₈₉	C₂³	1	8	yes	—
307	#123×C₈₉	C₂³	1	4	yes	—
308	#123×C₈₉	C₂³	1	4	yes	—
309	#123×C₈₉	C₂³	1	4	yes	—
310	#123×C₈₉	C₂³	1	4	yes	—
311	#123×C₈₉	C₂³	1	4	yes	—
312	#123×C₈₉	C₂³	1	8	yes	—
313	#123×C₈₉	C₂³	1	8	yes	—
314	#123×C₈₉	C₂³	1	4	yes	—
315	#123×C₈₉	C₂³	1	4	yes	—
316	#123×C₈₉	C₂³	1	4	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	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
323	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
324	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
325	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
326	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
327	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
328	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
329	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
330	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
331	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
332	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
333	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
334	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
335	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
336	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
337	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
338	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
339	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
340	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
342	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
343	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
344	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
345	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
346	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
347	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
348	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
349	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
350	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
351	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
352	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
353	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
354	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
355	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
356	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
357	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
358	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
359	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
360	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
361	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
362	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
363	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
364	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
365	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
366	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
367	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
368	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
369	#121×C₈₉	C₂³	1	4	yes	—
370	#121×C₈₉	C₂³	1	4	yes	—
371	#121×C₈₉	C₂³	1	2	yes	—
372	#121×C₈₉	C₂³	1	4	yes	—
373	#121×C₈₉	C₂³	1	2	yes	—
374	#121×C₈₉	C₂³	1	2	yes	—
375	#121×C₈₉	C₂³	1	2	yes	—
376	#121×C₈₉	C₂³	1	4	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	8	yes	—
384	#121×C₈₉	C₂³	1	8	yes	—
385	#120×C₈₉	C₂³	1	4	yes	—
386	#120×C₈₉	C₂³	1	4	yes	—
387	#120×C₈₉	C₂³	1	8	yes	—
388	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
389	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
392	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
393	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
394	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
395	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
396	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
397	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
398	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
399	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
400	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
401	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
402	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
403	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
404	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
405	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
406	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
407	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
408	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
409	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
410	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
411	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
412	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
413	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
414	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
415	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
416	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
417	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
418	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
419	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
420	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
421	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
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×D₄×C₈₉	C₂³	1	1	yes	characteristic
426	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
427	C₄×D₄×C₈₉	C₂³	1	2	yes	—
428	C₄×D₄×C₈₉	C₂³	1	2	yes	—
429	C₄×D₄×C₈₉	C₂³	1	4	yes	—
430	C₄×D₄×C₈₉	C₂³	1	4	yes	—
431	C₄×D₄×C₈₉	C₂³	1	2	yes	—
432	C₄×D₄×C₈₉	C₂³	1	2	yes	—
433	C₄×D₄×C₈₉	C₂³	1	4	yes	—
434	C₄×D₄×C₈₉	C₂³	1	2	yes	—
435	C₄×D₄×C₈₉	C₂³	1	4	yes	—
436	C₄×D₄×C₈₉	C₂³	1	2	yes	—
437	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
438	C₄×D₄×C₈₉	C₂³	1	2	yes	—
439	C₄×D₄×C₈₉	C₂³	1	4	yes	—
440	C₄×D₄×C₈₉	C₂³	1	2	yes	—
441	C₄×D₄×C₈₉	C₂³	1	2	yes	—
442	C₄×D₄×C₈₉	C₂³	1	8	yes	—
443	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
444	C₄×D₄×C₈₉	C₂³	1	4	yes	—
445	C₄×D₄×C₈₉	C₂³	1	2	yes	—
446	C₄×D₄×C₈₉	C₂³	1	2	yes	—
447	C₄×D₄×C₈₉	C₂³	1	4	yes	—
448	C₄×D₄×C₈₉	C₂³	1	8	yes	—
449	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₈₉	C₂³	1	4	yes	—
451	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
452	C₄×D₄×C₈₉	C₂³	1	2	yes	—
453	C₄×D₄×C₈₉	C₂³	1	2	yes	—
454	C₄×D₄×C₈₉	C₂³	1	2	yes	—
455	C₄×D₄×C₈₉	C₂³	1	4	yes	—
456	C₄×D₄×C₈₉	C₂³	1	8	yes	—
457	C₄×D₄×C₈₉	C₂³	1	8	yes	—
458	C₄×D₄×C₈₉	C₂³	1	4	yes	—
459	C₄×D₄×C₈₉	C₂³	1	4	yes	—
460	C₄×D₄×C₈₉	C₂³	1	8	yes	—
461	C₄×D₄×C₈₉	C₂³	1	8	yes	—
462	C₄×D₄×C₈₉	C₂³	1	4	yes	—
463	C₄×D₄×C₈₉	C₂³	1	8	yes	—
464	C₄×D₄×C₈₉	C₂³	1	8	yes	—
465	C₄×D₄×C₈₉	C₂³	1	4	yes	—
466	#117×C₈₉	C₂³	1	2	yes	—
467	#117×C₈₉	C₂³	1	4	yes	—
468	#117×C₈₉	C₂³	1	4	yes	—
469	#117×C₈₉	C₂³	1	8	yes	—
470	#117×C₈₉	C₂³	1	4	yes	—
471	#117×C₈₉	C₂³	1	8	yes	—
472	#117×C₈₉	C₂³	1	1	yes	characteristic
473	#117×C₈₉	C₂³	1	4	yes	—
474	#117×C₈₉	C₂³	1	8	yes	—
475	#117×C₈₉	C₂³	1	4	yes	—
476	#117×C₈₉	C₂³	1	2	yes	—
477	#117×C₈₉	C₂³	1	2	yes	—
478	#117×C₈₉	C₂³	1	2	yes	—
479	#117×C₈₉	C₂³	1	1	yes	characteristic
480	#117×C₈₉	C₂³	1	1	yes	characteristic
481	#117×C₈₉	C₂³	1	4	yes	—
482	#117×C₈₉	C₂³	1	2	yes	—
483	#117×C₈₉	C₂³	1	4	yes	—
484	#117×C₈₉	C₂³	1	4	yes	—
485	#117×C₈₉	C₂³	1	4	yes	—
486	#117×C₈₉	C₂³	1	8	yes	—
487	#117×C₈₉	C₂³	1	2	yes	—
488	#117×C₈₉	C₂³	1	8	yes	—
489	#117×C₈₉	C₂³	1	8	yes	—
490	#117×C₈₉	C₂³	1	2	yes	—
491	#117×C₈₉	C₂³	1	4	yes	—
492	#117×C₈₉	C₂³	1	4	yes	—
493	#117×C₈₉	C₂³	1	8	yes	—
494	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
495	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
496	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
497	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
498	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
499	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	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	4	yes	—
503	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
504	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
505	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
506	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
507	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
508	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
509	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
511	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
512	C₂×C₄²×C₈₉	C₂³	1	8	yes	—
513	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
514	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
515	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
516	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
517	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
518	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
519	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
520	#41×C₈₉	—	2	8	no	—
521	#41×C₈₉	—	2	4	no	—
522	#41×C₈₉	—	4	4	no	—
523	#41×C₈₉	—	4	4	no	—
524	#41×C₈₉	—	4	2	no	—
525	#41×C₈₉	—	4	8	no	—
526	#41×C₈₉	—	4	2	no	—
527	C₂×Q₈×C₈₉	—	4	4	no	—
528	C₂×Q₈×C₈₉	—	4	8	no	—
529	C₂×Q₈×C₈₉	—	4	8	no	—
530	C₂×Q₈×C₈₉	—	4	4	no	—
531	C₂×Q₈×C₈₉	—	4	4	no	—
532	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
534	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
535	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
537	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
538	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
540	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
541	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
542	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
543	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
544	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
546	C₂×D₄×C₈₉	—	2	8	no	—
547	C₂×D₄×C₈₉	—	4	4	no	—
548	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
549	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
550	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
551	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
552	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
553	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
554	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
555	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
556	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
557	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
558	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
559	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
560	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
561	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
562	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₈₉	—	4	8	no	—
564	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
565	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
566	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
567	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
568	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
569	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
572	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
573	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
575	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
576	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
577	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
578	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
580	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
581	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
582	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
583	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
584	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
585	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
587	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
588	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
589	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
590	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
591	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
593	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
594	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
595	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
596	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
597	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
598	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
599	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
600	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
602	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
603	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
604	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
605	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
606	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
607	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
608	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
609	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
610	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
611	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
612	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
613	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
614	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
615	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
616	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
617	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
618	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
619	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
620	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
621	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
623	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
624	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
625	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
626	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
627	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
628	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
630	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
631	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
632	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
633	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
634	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
635	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
636	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
637	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
638	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
639	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
640	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
641	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
643	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
644	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
645	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
646	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
647	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
648	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
649	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
650	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
651	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
652	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
653	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
654	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
655	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
656	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
657	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
658	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
659	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
661	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
665	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
666	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
667	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
668	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
670	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
671	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
672	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
673	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
674	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
675	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
676	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
677	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
680	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
681	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
682	C₄²×C₈₉	C₂⁴	1	4	yes	—
683	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
684	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
685	C₄²×C₈₉	C₂⁴	1	2	yes	—
686	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
687	C₄²×C₈₉	C₂⁴	1	2	yes	—
688	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
689	C₄²×C₈₉	C₂⁴	1	2	yes	—
690	C₄²×C₈₉	C₂⁴	1	8	yes	—
691	C₄²×C₈₉	C₂⁴	1	2	yes	—
692	C₄²×C₈₉	C₂⁴	1	8	yes	—
693	C₄²×C₈₉	C₂⁴	1	4	yes	—
694	C₄²×C₈₉	C₂⁴	1	4	yes	—
695	C₄²×C₈₉	C₂⁴	1	2	yes	—
696	C₄²×C₈₉	C₂⁴	1	2	yes	—
697	C₄²×C₈₉	C₂⁴	1	2	yes	—
698	C₄²×C₈₉	C₂⁴	1	2	yes	—
699	C₄²×C₈₉	C₂⁴	1	4	yes	—
700	C₄²×C₈₉	C₂⁴	1	4	yes	—
701	C₄²×C₈₉	C₂⁴	1	2	yes	—
702	C₄²×C₈₉	C₂⁴	1	8	yes	—
703	C₄²×C₈₉	C₂⁴	1	4	yes	—
704	C₄²×C₈₉	C₂⁴	1	8	yes	—
705	C₄²×C₈₉	C₂⁴	1	8	yes	—
706	C₂³×C₈₉	—	2	8	no	—
707	C₂³×C₈₉	—	4	4	no	—
708	C₂³×C₈₉	—	4	4	no	—
709	C₂³×C₈₉	C₂⁵	1	2	yes	—
710	C₂³×C₈₉	C₂⁵	1	4	yes	—
711	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
712	C₂³×C₈₉	C₂⁵	1	2	yes	—
713	C₂³×C₈₉	C₂⁵	1	2	yes	—
714	Q₈×C₈₉	—	2	2	no	—
715	Q₈×C₈₉	—	2	4	no	—
716	Q₈×C₈₉	—	2	4	no	—
717	Q₈×C₈₉	—	2	4	no	—
718	Q₈×C₈₉	—	2	2	no	—
719	Q₈×C₈₉	—	2	4	no	—
720	Q₈×C₈₉	—	2	8	no	—
721	Q₈×C₈₉	—	2	2	no	—
722	Q₈×C₈₉	—	4	4	no	—
723	Q₈×C₈₉	—	4	4	no	—
724	Q₈×C₈₉	—	4	8	no	—
725	Q₈×C₈₉	—	4	4	no	—
726	Q₈×C₈₉	—	4	8	no	—
727	Q₈×C₈₉	—	4	2	no	—
728	D₄×C₈₉	—	2	8	no	—
729	D₄×C₈₉	—	2	4	no	—
730	D₄×C₈₉	—	2	8	no	—
731	D₄×C₈₉	—	2	4	no	—
732	D₄×C₈₉	—	2	2	no	—
733	D₄×C₈₉	—	2	4	no	—
734	D₄×C₈₉	—	2	2	no	—
735	D₄×C₈₉	—	4	4	no	—
736	D₄×C₈₉	—	4	2	no	—
737	D₄×C₈₉	—	4	4	no	—
738	D₄×C₈₉	—	4	2	no	—
739	D₄×C₈₉	—	4	8	no	—
740	D₄×C₈₉	—	4	4	no	—
741	D₄×C₈₉	—	4	2	no	—
742	D₄×C₈₉	2₋¹⁺⁴	1	4	yes	—
743	C₂×C₄×C₈₉	—	2	8	no	—
744	C₂×C₄×C₈₉	—	2	4	no	—
745	C₂×C₄×C₈₉	—	2	4	no	—
746	C₂×C₄×C₈₉	—	2	4	no	—
747	C₂×C₄×C₈₉	—	2	2	no	—
748	C₂×C₄×C₈₉	—	2	4	no	—
749	C₂×C₄×C₈₉	—	2	4	no	—
750	C₂×C₄×C₈₉	—	2	8	no	—
751	C₂×C₄×C₈₉	—	2	4	no	—
752	C₂×C₄×C₈₉	—	2	2	no	—
753	C₂×C₄×C₈₉	—	2	4	no	—
754	C₂×C₄×C₈₉	—	2	2	no	—
755	C₂×C₄×C₈₉	—	4	4	no	—
756	C₂×C₄×C₈₉	—	4	4	no	—
757	C₂×C₄×C₈₉	—	4	4	no	—
758	C₂×C₄×C₈₉	—	4	4	no	—
759	C₂×C₄×C₈₉	—	4	4	no	—
760	C₂×C₄×C₈₉	—	4	8	no	—
761	C₂×C₄×C₈₉	—	4	8	no	—
762	C₂×C₄×C₈₉	—	4	4	no	—
763	C₂×C₄×C₈₉	—	4	4	no	—
764	C₂×C₄×C₈₉	—	4	8	no	—
765	C₂×C₄×C₈₉	—	4	2	no	—
766	C₂×C₄×C₈₉	—	4	2	no	—
767	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
768	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
769	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
770	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
771	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
772	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
773	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
774	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
776	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
777	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
778	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
779	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
780	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
781	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
782	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
783	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
784	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
785	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
786	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
787	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
788	C₂²×C₈₉	—	2	2	no	—
789	C₂²×C₈₉	—	2	2	no	—
790	C₂²×C₈₉	—	2	1	no	—
791	C₂²×C₈₉	—	2	2	no	—
792	C₂²×C₈₉	—	2	2	no	—
793	C₂²×C₈₉	—	2	4	no	—
794	C₂²×C₈₉	—	2	1	no	—
795	C₂²×C₈₉	—	2	4	no	—
796	C₂²×C₈₉	—	2	2	no	—
797	C₂²×C₈₉	—	2	2	no	—
798	C₂²×C₈₉	—	2	1	no	—
799	C₂²×C₈₉	—	2	2	no	—
800	C₂²×C₈₉	—	2	4	no	—
801	C₂²×C₈₉	—	2	2	no	—
802	C₂²×C₈₉	—	8	8	no	—
803	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	4	yes	—
804	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
805	C₄×C₈₉	—	2	2	no	—
806	C₄×C₈₉	—	2	1	no	—
807	C₄×C₈₉	—	2	2	no	—
808	C₄×C₈₉	—	2	4	no	—
809	C₄×C₈₉	—	2	2	no	—
810	C₄×C₈₉	—	2	2	no	—
811	C₄×C₈₉	—	2	2	no	—
812	C₄×C₈₉	—	2	2	no	—
813	C₄×C₈₉	—	2	1	no	—
814	C₄×C₈₉	—	2	4	no	—
815	C₄×C₈₉	—	2	1	no	—
816	C₄×C₈₉	—	2	2	no	—
817	C₄×C₈₉	—	2	2	no	—
818	C₄×C₈₉	—	2	4	no	—
819	C₄×C₈₉	—	2	8	no	—
820	C₄×C₈₉	—	2	2	no	—
821	C₄×C₈₉	—	2	4	no	—
822	C₄×C₈₉	—	2	4	no	—
823	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
824	C₄×C₈₉	#585	1	2	yes	—
825	C₄×C₈₉	#585	1	2	yes	—
826	#63025	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
827	C₂×C₈₉	—	2	4	no	—
828	C₂×C₈₉	—	4	1	no	—
829	C₂×C₈₉	—	4	2	no	—
830	C₂×C₈₉	—	4	4	no	—
831	C₂×C₈₉	—	4	2	no	—
832	C₂×C₈₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
833	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
834	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
835	#3565	C₂×C₈₉	1	4	yes	complemented
836	#3564	C₂×C₈₉	1	8	yes	complemented
837	#3561	C₂×C₈₉	1	4	yes	complemented
838	#3555	C₂×C₈₉	1	2	yes	complemented
839	#3555	C₂×C₈₉	1	2	yes	complemented
840	#3552	C₂×C₈₉	1	2	yes	complemented
841	#3550	C₂×C₈₉	1	1	yes	characteristic, complemented
842	#3541	C₂×C₈₉	1	4	yes	complemented
843	#3523	C₂×C₈₉	1	2	yes	complemented
844	#3521	C₂×C₈₉	1	4	yes	complemented
845	#3520	C₂×C₈₉	1	2	yes	complemented
846	#3518	C₂×C₈₉	1	2	yes	complemented
847	#3516	C₂×C₈₉	1	4	yes	complemented
848	#3514	C₂×C₈₉	1	2	yes	complemented
849	#3511	C₂×C₈₉	1	1	yes	characteristic, complemented
850	#3509	C₂×C₈₉	1	1	yes	characteristic, complemented
851	#3507	C₂×C₈₉	1	2	yes	complemented
852	#3503	C₂×C₈₉	1	1	yes	characteristic, complemented
853	#3501	C₂×C₈₉	1	2	yes	complemented
854	#3495	C₂×C₈₉	1	4	yes	complemented
855	#3482	C₂×C₈₉	1	1	yes	characteristic, complemented
856	#3482	C₂×C₈₉	1	1	yes	characteristic, complemented
857	#3481	C₂×C₈₉	1	1	yes	characteristic, complemented
858	Q₈×#41	C₂×C₈₉	1	2	yes	complemented
859	#3475	C₂×C₈₉	1	2	yes	complemented
860	C₂×#556	C₂×C₈₉	1	2	yes	complemented
861	C₈₉	#63025	1	1	yes	characteristic, direct product factor, Sylow
862	#563	C₂²×C₈₉	1	8	yes	complemented
863	#563	C₂²×C₈₉	1	4	yes	complemented
864	#563	C₂²×C₈₉	1	8	yes	complemented
865	#563	C₂²×C₈₉	1	8	yes	complemented
866	#562	C₂²×C₈₉	1	8	yes	complemented
867	#559	C₂²×C₈₉	1	1	yes	characteristic
868	#559	C₂²×C₈₉	1	2	yes	—
869	Q₈²	C₂²×C₈₉	1	2	yes	complemented
870	Q₈²	C₂²×C₈₉	1	2	yes	complemented
871	#557	C₂²×C₈₉	1	2	yes	complemented
872	#557	C₂²×C₈₉	1	4	yes	complemented
873	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
874	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
875	#557	C₂²×C₈₉	1	2	yes	complemented
876	#557	C₂²×C₈₉	1	2	yes	complemented
877	#557	C₂²×C₈₉	1	4	yes	complemented
878	#556	C₂²×C₈₉	1	1	yes	characteristic
879	#556	C₂²×C₈₉	1	2	yes	—
880	#556	C₂²×C₈₉	1	4	yes	—
881	#556	C₂²×C₈₉	1	2	yes	—
882	#556	C₂²×C₈₉	1	4	yes	complemented
883	#556	C₂²×C₈₉	1	4	yes	complemented
884	#556	C₂²×C₈₉	1	2	yes	complemented
885	#556	C₂²×C₈₉	1	4	yes	complemented
886	#556	C₂²×C₈₉	1	2	yes	complemented
887	#556	C₂²×C₈₉	1	8	yes	complemented
888	#556	C₂²×C₈₉	1	2	yes	complemented
889	#556	C₂²×C₈₉	1	2	yes	complemented
890	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
891	#556	C₂²×C₈₉	1	2	yes	complemented
892	#556	C₂²×C₈₉	1	4	yes	complemented
893	#556	C₂²×C₈₉	1	4	yes	complemented
894	#556	C₂²×C₈₉	1	8	yes	complemented
895	#556	C₂²×C₈₉	1	4	yes	complemented
896	#555	C₂²×C₈₉	1	4	yes	—
897	#555	C₂²×C₈₉	1	2	yes	complemented
898	#554	C₂²×C₈₉	1	2	yes	—
899	#554	C₂²×C₈₉	1	1	yes	characteristic
900	#554	C₂²×C₈₉	1	4	yes	—
901	#554	C₂²×C₈₉	1	1	yes	characteristic
902	#554	C₂²×C₈₉	1	4	yes	complemented
903	#554	C₂²×C₈₉	1	8	yes	complemented
904	#554	C₂²×C₈₉	1	4	yes	complemented
905	#554	C₂²×C₈₉	1	4	yes	complemented
906	#554	C₂²×C₈₉	1	4	yes	complemented
907	#554	C₂²×C₈₉	1	2	yes	complemented
908	#554	C₂²×C₈₉	1	8	yes	complemented
909	#553	C₂²×C₈₉	1	2	yes	—
910	#553	C₂²×C₈₉	1	2	yes	—
911	#553	C₂²×C₈₉	1	4	yes	complemented
912	#553	C₂²×C₈₉	1	4	yes	complemented
913	#553	C₂²×C₈₉	1	8	yes	complemented
914	#552	C₂²×C₈₉	1	4	yes	complemented
915	#552	C₂²×C₈₉	1	4	yes	complemented
916	#552	C₂²×C₈₉	1	2	yes	complemented
917	#552	C₂²×C₈₉	1	2	yes	complemented
918	#552	C₂²×C₈₉	1	4	yes	complemented
919	#552	C₂²×C₈₉	1	4	yes	complemented
920	#552	C₂²×C₈₉	1	8	yes	complemented
921	#552	C₂²×C₈₉	1	4	yes	complemented
922	#552	C₂²×C₈₉	1	8	yes	complemented
923	#552	C₂²×C₈₉	1	4	yes	complemented
924	#552	C₂²×C₈₉	1	4	yes	complemented
925	#552	C₂²×C₈₉	1	8	yes	complemented
926	#551	C₂²×C₈₉	1	4	yes	—
927	#551	C₂²×C₈₉	1	8	yes	—
928	#551	C₂²×C₈₉	1	8	yes	complemented
929	#551	C₂²×C₈₉	1	8	yes	complemented
930	#551	C₂²×C₈₉	1	8	yes	complemented
931	D₄×Q₈	C₂²×C₈₉	1	2	yes	—
932	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
933	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
934	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
935	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
936	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
937	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
938	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
939	#548	C₂²×C₈₉	1	2	yes	—
940	#548	C₂²×C₈₉	1	4	yes	—
941	#548	C₂²×C₈₉	1	2	yes	complemented
942	#548	C₂²×C₈₉	1	4	yes	complemented
943	#548	C₂²×C₈₉	1	4	yes	complemented
944	#547	C₂²×C₈₉	1	1	yes	characteristic
945	#547	C₂²×C₈₉	1	1	yes	characteristic
946	#547	C₂²×C₈₉	1	2	yes	—
947	#547	C₂²×C₈₉	1	2	yes	complemented
948	#547	C₂²×C₈₉	1	2	yes	complemented
949	#546	C₂²×C₈₉	1	4	yes	—
950	#546	C₂²×C₈₉	1	2	yes	—
951	#546	C₂²×C₈₉	1	2	yes	—
952	#546	C₂²×C₈₉	1	4	yes	—
953	D₄²	C₂²×C₈₉	1	1	yes	characteristic
954	#544	C₂²×C₈₉	1	4	yes	complemented
955	#544	C₂²×C₈₉	1	4	yes	complemented
956	#544	C₂²×C₈₉	1	4	yes	complemented
957	#544	C₂²×C₈₉	1	2	yes	complemented
958	#543	C₂²×C₈₉	1	8	yes	complemented
959	#542	C₂²×C₈₉	1	4	yes	—
960	#542	C₂²×C₈₉	1	4	yes	—
961	#542	C₂²×C₈₉	1	8	yes	complemented
962	#542	C₂²×C₈₉	1	4	yes	complemented
963	#542	C₂²×C₈₉	1	8	yes	complemented
964	#542	C₂²×C₈₉	1	4	yes	complemented
965	#542	C₂²×C₈₉	1	4	yes	complemented
966	#542	C₂²×C₈₉	1	8	yes	complemented
967	#542	C₂²×C₈₉	1	4	yes	complemented
968	#541	C₂²×C₈₉	1	8	yes	complemented
969	#541	C₂²×C₈₉	1	4	yes	complemented
970	#541	C₂²×C₈₉	1	4	yes	complemented
971	#541	C₂²×C₈₉	1	8	yes	complemented
972	#541	C₂²×C₈₉	1	4	yes	complemented
973	#541	C₂²×C₈₉	1	4	yes	complemented
974	#541	C₂²×C₈₉	1	8	yes	complemented
975	#539	C₂²×C₈₉	1	8	yes	complemented
976	#539	C₂²×C₈₉	1	8	yes	complemented
977	#539	C₂²×C₈₉	1	8	yes	complemented
978	#538	C₂²×C₈₉	1	8	yes	—
979	#538	C₂²×C₈₉	1	8	yes	complemented
980	#537	C₂²×C₈₉	1	2	yes	complemented
981	#536	C₂²×C₈₉	1	2	yes	—
982	#536	C₂²×C₈₉	1	4	yes	complemented
983	#536	C₂²×C₈₉	1	4	yes	complemented
984	#533	C₂²×C₈₉	1	2	yes	complemented
985	#533	C₂²×C₈₉	1	8	yes	complemented
986	#533	C₂²×C₈₉	1	2	yes	complemented
987	#533	C₂²×C₈₉	1	4	yes	complemented
988	#533	C₂²×C₈₉	1	4	yes	complemented
989	#533	C₂²×C₈₉	1	2	yes	complemented
990	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
991	#533	C₂²×C₈₉	1	2	yes	complemented
992	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
993	#533	C₂²×C₈₉	1	2	yes	complemented
994	#533	C₂²×C₈₉	1	2	yes	complemented
995	#532	C₂²×C₈₉	1	1	yes	characteristic
996	#532	C₂²×C₈₉	1	2	yes	—
997	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
998	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
999	#529	C₂²×C₈₉	1	2	yes	—
1000	#529	C₂²×C₈₉	1	2	yes	—
1001	#529	C₂²×C₈₉	1	2	yes	—
1002	#529	C₂²×C₈₉	1	4	yes	—
1003	#529	C₂²×C₈₉	1	4	yes	complemented
1004	#529	C₂²×C₈₉	1	8	yes	complemented
1005	#529	C₂²×C₈₉	1	4	yes	complemented
1006	#529	C₂²×C₈₉	1	2	yes	complemented
1007	#529	C₂²×C₈₉	1	4	yes	complemented
1008	#529	C₂²×C₈₉	1	8	yes	complemented
1009	#529	C₂²×C₈₉	1	4	yes	complemented
1010	C₂×#126	C₂²×C₈₉	1	8	yes	complemented
1011	C₂×#124	C₂²×C₈₉	1	4	yes	—
1012	#525	C₂²×C₈₉	1	4	yes	—
1013	#525	C₂²×C₈₉	1	4	yes	complemented
1014	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1015	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1016	#520	C₂²×C₈₉	1	2	yes	—
1017	#520	C₂²×C₈₉	1	2	yes	complemented
1018	#520	C₂²×C₈₉	1	4	yes	complemented
1019	#519	C₂²×C₈₉	1	4	yes	complemented
1020	#519	C₂²×C₈₉	1	2	yes	complemented
1021	#518	C₂²×C₈₉	1	4	yes	—
1022	C₄×#41	C₂²×C₈₉	1	4	yes	—
1023	C₄×#41	C₂²×C₈₉	1	2	yes	—
1024	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
1025	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
1026	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
1027	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1028	C₂×C₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1029	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1030	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1031	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	—
1032	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	—
1033	C₂×#117	C₂²×C₈₉	1	4	yes	complemented
1034	C₂×#41	C₂³×C₈₉	1	2	yes	—
1035	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1036	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1037	C₂×#41	C₂³×C₈₉	1	2	yes	—
1038	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1039	C₂×#41	C₂³×C₈₉	1	2	yes	—
1040	C₂×#41	C₂³×C₈₉	1	4	yes	—
1041	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1042	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1043	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1044	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1045	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1046	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1047	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1048	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1049	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1050	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1051	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1052	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1053	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1054	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1055	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1056	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1057	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1062	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1063	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1064	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1065	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1066	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1067	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1068	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1069	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1070	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1071	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1072	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1073	#127	C₂³×C₈₉	1	1	yes	characteristic
1074	#126	C₂³×C₈₉	1	4	yes	—
1075	#126	C₂³×C₈₉	1	8	yes	—
1076	#126	C₂³×C₈₉	1	8	yes	—
1077	#126	C₂³×C₈₉	1	8	yes	—
1078	#126	C₂³×C₈₉	1	8	yes	—
1079	#126	C₂³×C₈₉	1	8	yes	—
1080	#126	C₂³×C₈₉	1	8	yes	—
1081	#126	C₂³×C₈₉	1	8	yes	—
1082	#126	C₂³×C₈₉	1	8	yes	—
1083	#126	C₂³×C₈₉	1	4	yes	—
1084	#126	C₂³×C₈₉	1	4	yes	—
1085	#126	C₂³×C₈₉	1	4	yes	—
1086	#126	C₂³×C₈₉	1	4	yes	—
1087	#126	C₂³×C₈₉	1	4	yes	—
1088	#126	C₂³×C₈₉	1	8	yes	—
1089	#126	C₂³×C₈₉	1	8	yes	—
1090	#126	C₂³×C₈₉	1	8	yes	—
1091	#126	C₂³×C₈₉	1	4	yes	—
1092	#126	C₂³×C₈₉	1	4	yes	—
1093	#126	C₂³×C₈₉	1	8	yes	—
1094	#126	C₂³×C₈₉	1	8	yes	—
1095	#126	C₂³×C₈₉	1	8	yes	—
1096	#126	C₂³×C₈₉	1	8	yes	—
1097	#125	C₂³×C₈₉	1	2	yes	—
1098	#125	C₂³×C₈₉	1	2	yes	—
1099	#125	C₂³×C₈₉	1	2	yes	—
1100	#125	C₂³×C₈₉	1	4	yes	—
1101	#125	C₂³×C₈₉	1	8	yes	—
1102	#125	C₂³×C₈₉	1	4	yes	—
1103	#125	C₂³×C₈₉	1	8	yes	—
1104	#125	C₂³×C₈₉	1	4	yes	—
1105	#125	C₂³×C₈₉	1	2	yes	—
1106	#125	C₂³×C₈₉	1	4	yes	—
1107	#125	C₂³×C₈₉	1	4	yes	—
1108	#125	C₂³×C₈₉	1	8	yes	—
1109	#125	C₂³×C₈₉	1	8	yes	—
1110	#125	C₂³×C₈₉	1	4	yes	—
1111	#125	C₂³×C₈₉	1	4	yes	—
1112	#125	C₂³×C₈₉	1	2	yes	—
1113	#125	C₂³×C₈₉	1	8	yes	—
1114	#125	C₂³×C₈₉	1	4	yes	—
1115	#125	C₂³×C₈₉	1	4	yes	—
1116	#125	C₂³×C₈₉	1	2	yes	—
1117	#125	C₂³×C₈₉	1	8	yes	—
1118	#125	C₂³×C₈₉	1	8	yes	—
1119	#125	C₂³×C₈₉	1	8	yes	—
1120	#125	C₂³×C₈₉	1	8	yes	—
1121	#124	C₂³×C₈₉	1	2	yes	—
1122	#124	C₂³×C₈₉	1	4	yes	—
1123	#124	C₂³×C₈₉	1	4	yes	—
1124	#124	C₂³×C₈₉	1	4	yes	—
1125	#124	C₂³×C₈₉	1	8	yes	—
1126	#124	C₂³×C₈₉	1	8	yes	—
1127	#124	C₂³×C₈₉	1	2	yes	—
1128	#124	C₂³×C₈₉	1	2	yes	—
1129	#124	C₂³×C₈₉	1	8	yes	—
1130	#124	C₂³×C₈₉	1	4	yes	—
1131	#124	C₂³×C₈₉	1	4	yes	—
1132	#124	C₂³×C₈₉	1	2	yes	—
1133	#124	C₂³×C₈₉	1	8	yes	—
1134	#124	C₂³×C₈₉	1	4	yes	—
1135	#124	C₂³×C₈₉	1	2	yes	—
1136	#124	C₂³×C₈₉	1	8	yes	—
1137	#124	C₂³×C₈₉	1	8	yes	—
1138	#123	C₂³×C₈₉	1	4	yes	—
1139	#123	C₂³×C₈₉	1	4	yes	—
1140	#123	C₂³×C₈₉	1	8	yes	—
1141	#123	C₂³×C₈₉	1	8	yes	—
1142	#123	C₂³×C₈₉	1	4	yes	—
1143	#123	C₂³×C₈₉	1	4	yes	—
1144	#123	C₂³×C₈₉	1	4	yes	—
1145	#123	C₂³×C₈₉	1	4	yes	—
1146	#123	C₂³×C₈₉	1	4	yes	—
1147	#123	C₂³×C₈₉	1	8	yes	—
1148	#123	C₂³×C₈₉	1	8	yes	—
1149	#123	C₂³×C₈₉	1	4	yes	—
1150	#123	C₂³×C₈₉	1	4	yes	—
1151	#123	C₂³×C₈₉	1	4	yes	—
1152	#123	C₂³×C₈₉	1	8	yes	—
1153	#123	C₂³×C₈₉	1	8	yes	—
1154	#123	C₂³×C₈₉	1	8	yes	—
1155	#123	C₂³×C₈₉	1	8	yes	—
1156	#123	C₂³×C₈₉	1	8	yes	—
1157	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1158	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1159	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1160	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1161	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1162	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1163	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1164	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1165	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1166	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1167	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1168	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1169	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1170	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1171	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1172	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1173	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1174	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1175	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1176	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1177	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1178	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1179	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1180	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1181	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1182	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1183	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1184	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1185	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1186	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1187	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1188	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1189	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1190	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1191	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1192	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1193	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1194	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1195	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1196	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1197	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1198	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1199	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1200	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1201	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1202	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1203	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1204	#121	C₂³×C₈₉	1	4	yes	—
1205	#121	C₂³×C₈₉	1	4	yes	—
1206	#121	C₂³×C₈₉	1	2	yes	—
1207	#121	C₂³×C₈₉	1	4	yes	—
1208	#121	C₂³×C₈₉	1	2	yes	—
1209	#121	C₂³×C₈₉	1	2	yes	—
1210	#121	C₂³×C₈₉	1	2	yes	—
1211	#121	C₂³×C₈₉	1	4	yes	—
1212	#121	C₂³×C₈₉	1	8	yes	—
1213	#121	C₂³×C₈₉	1	4	yes	—
1214	#121	C₂³×C₈₉	1	4	yes	—
1215	#121	C₂³×C₈₉	1	4	yes	—
1216	#121	C₂³×C₈₉	1	2	yes	—
1217	#121	C₂³×C₈₉	1	2	yes	—
1218	#121	C₂³×C₈₉	1	8	yes	—
1219	#121	C₂³×C₈₉	1	8	yes	—
1220	#120	C₂³×C₈₉	1	4	yes	—
1221	#120	C₂³×C₈₉	1	4	yes	—
1222	#120	C₂³×C₈₉	1	8	yes	—
1223	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1224	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1226	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1227	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1228	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1229	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1230	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1231	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1232	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1233	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1234	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1235	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1236	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1237	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1238	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1239	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1240	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1241	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1242	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1243	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1244	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1245	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1246	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1247	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1248	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1249	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1250	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1251	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1252	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1253	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1254	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1255	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1256	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1257	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1258	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1259	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1260	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1261	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1262	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1263	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1264	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1265	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1266	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1267	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1268	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1269	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1270	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1271	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1272	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1273	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1274	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1275	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1276	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1277	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1278	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1279	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1280	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1281	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1282	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1283	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1284	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1285	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1286	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1288	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1289	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1290	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1291	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1292	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1293	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1294	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1295	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1296	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1297	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1298	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1299	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1300	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1301	#117	C₂³×C₈₉	1	2	yes	—
1302	#117	C₂³×C₈₉	1	4	yes	—
1303	#117	C₂³×C₈₉	1	4	yes	—
1304	#117	C₂³×C₈₉	1	8	yes	—
1305	#117	C₂³×C₈₉	1	4	yes	—
1306	#117	C₂³×C₈₉	1	8	yes	—
1307	#117	C₂³×C₈₉	1	1	yes	characteristic
1308	#117	C₂³×C₈₉	1	4	yes	—
1309	#117	C₂³×C₈₉	1	8	yes	—
1310	#117	C₂³×C₈₉	1	4	yes	—
1311	#117	C₂³×C₈₉	1	2	yes	—
1312	#117	C₂³×C₈₉	1	2	yes	—
1313	#117	C₂³×C₈₉	1	2	yes	—
1314	#117	C₂³×C₈₉	1	1	yes	characteristic
1315	#117	C₂³×C₈₉	1	1	yes	characteristic
1316	#117	C₂³×C₈₉	1	4	yes	—
1317	#117	C₂³×C₈₉	1	2	yes	—
1318	#117	C₂³×C₈₉	1	4	yes	—
1319	#117	C₂³×C₈₉	1	4	yes	—
1320	#117	C₂³×C₈₉	1	4	yes	—
1321	#117	C₂³×C₈₉	1	8	yes	—
1322	#117	C₂³×C₈₉	1	2	yes	—
1323	#117	C₂³×C₈₉	1	8	yes	—
1324	#117	C₂³×C₈₉	1	8	yes	—
1325	#117	C₂³×C₈₉	1	2	yes	—
1326	#117	C₂³×C₈₉	1	4	yes	—
1327	#117	C₂³×C₈₉	1	4	yes	—
1328	#117	C₂³×C₈₉	1	8	yes	—
1329	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1330	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1331	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1332	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1333	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1334	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1335	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1336	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1337	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1338	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1339	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1340	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1341	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1342	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1343	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1344	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1345	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1346	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1347	C₂×C₄²	C₂³×C₈₉	1	8	yes	—
1348	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1349	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1350	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1351	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1352	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1353	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1354	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1355	#41	—	2	8	no	—
1356	#41	—	2	4	no	—
1357	#41	—	4	4	no	—
1358	#41	—	4	4	no	—
1359	#41	—	4	2	no	—
1360	#41	—	4	8	no	—
1361	#41	—	4	2	no	—
1362	C₂×Q₈	—	4	4	no	—
1363	C₂×Q₈	—	4	8	no	—
1364	C₂×Q₈	—	4	8	no	—
1365	C₂×Q₈	—	4	4	no	—
1366	C₂×Q₈	—	4	4	no	—
1367	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1368	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1369	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1370	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1372	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1373	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1374	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1375	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1376	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1377	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1378	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1379	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1380	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1381	C₂×D₄	—	2	8	no	—
1382	C₂×D₄	—	4	4	no	—
1383	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1384	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1385	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1386	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1387	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1390	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1391	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1392	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1393	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1394	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1395	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1396	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1397	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1398	C₂²×C₄	—	4	8	no	—
1399	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1400	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1401	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1402	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1403	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1404	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1407	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1408	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1410	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1411	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1412	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1413	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1414	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1415	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1416	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1417	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1418	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1419	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1420	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1421	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1422	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1423	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1424	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1425	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1426	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1427	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1428	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1430	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1432	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1433	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1434	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1435	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1436	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1437	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1438	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1439	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1440	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1441	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1442	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1443	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1444	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1445	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1446	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1447	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1448	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1449	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1450	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1451	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1452	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1453	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1454	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1455	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1456	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1457	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1458	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1460	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1461	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1462	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1464	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1466	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1467	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1468	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1469	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1470	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1471	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1472	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1473	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1474	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1476	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1477	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1478	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1479	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1480	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1481	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1482	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1483	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1484	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1485	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1486	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1487	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1488	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1489	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1490	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1491	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1492	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1493	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1494	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1495	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1496	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1497	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1498	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1499	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1500	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1501	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1502	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1503	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1504	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1505	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1506	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1507	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1508	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1509	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1510	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1511	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1512	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1513	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1514	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1515	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1516	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1517	C₄²	C₂⁴×C₈₉	1	4	yes	—
1518	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1519	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1520	C₄²	C₂⁴×C₈₉	1	2	yes	—
1521	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₈₉	1	2	yes	—
1523	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1524	C₄²	C₂⁴×C₈₉	1	2	yes	—
1525	C₄²	C₂⁴×C₈₉	1	8	yes	—
1526	C₄²	C₂⁴×C₈₉	1	2	yes	—
1527	C₄²	C₂⁴×C₈₉	1	8	yes	—
1528	C₄²	C₂⁴×C₈₉	1	4	yes	—
1529	C₄²	C₂⁴×C₈₉	1	4	yes	—
1530	C₄²	C₂⁴×C₈₉	1	2	yes	—
1531	C₄²	C₂⁴×C₈₉	1	2	yes	—
1532	C₄²	C₂⁴×C₈₉	1	2	yes	—
1533	C₄²	C₂⁴×C₈₉	1	2	yes	—
1534	C₄²	C₂⁴×C₈₉	1	4	yes	—
1535	C₄²	C₂⁴×C₈₉	1	4	yes	—
1536	C₄²	C₂⁴×C₈₉	1	2	yes	—
1537	C₄²	C₂⁴×C₈₉	1	8	yes	—
1538	C₄²	C₂⁴×C₈₉	1	4	yes	—
1539	C₄²	C₂⁴×C₈₉	1	8	yes	—
1540	C₄²	C₂⁴×C₈₉	1	8	yes	—
1541	C₂³	—	2	8	no	—
1542	C₂³	—	4	4	no	—
1543	C₂³	—	4	4	no	—
1544	C₂³	C₂⁵×C₈₉	1	2	yes	—
1545	C₂³	C₂⁵×C₈₉	1	4	yes	—
1546	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1547	C₂³	C₂⁵×C₈₉	1	2	yes	—
1548	C₂³	C₂⁵×C₈₉	1	2	yes	—
1549	Q₈	—	2	2	no	—
1550	Q₈	—	2	4	no	—
1551	Q₈	—	2	4	no	—
1552	Q₈	—	2	4	no	—
1553	Q₈	—	2	2	no	—
1554	Q₈	—	2	4	no	—
1555	Q₈	—	2	8	no	—
1556	Q₈	—	2	2	no	—
1557	Q₈	—	4	4	no	—
1558	Q₈	—	4	4	no	—
1559	Q₈	—	4	8	no	—
1560	Q₈	—	4	4	no	—
1561	Q₈	—	4	8	no	—
1562	Q₈	—	4	2	no	—
1563	D₄	—	2	8	no	—
1564	D₄	—	2	4	no	—
1565	D₄	—	2	8	no	—
1566	D₄	—	2	4	no	—
1567	D₄	—	2	2	no	—
1568	D₄	—	2	4	no	—
1569	D₄	—	2	2	no	—
1570	D₄	—	4	4	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	4	4	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	4	8	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	2	no	—
1577	D₄	2₋¹⁺⁴×C₈₉	1	4	yes	—
1578	C₂×C₄	—	2	8	no	—
1579	C₂×C₄	—	2	4	no	—
1580	C₂×C₄	—	2	4	no	—
1581	C₂×C₄	—	2	4	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	4	no	—
1584	C₂×C₄	—	2	4	no	—
1585	C₂×C₄	—	2	8	no	—
1586	C₂×C₄	—	2	4	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	4	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	4	4	no	—
1591	C₂×C₄	—	4	4	no	—
1592	C₂×C₄	—	4	4	no	—
1593	C₂×C₄	—	4	4	no	—
1594	C₂×C₄	—	4	4	no	—
1595	C₂×C₄	—	4	8	no	—
1596	C₂×C₄	—	4	8	no	—
1597	C₂×C₄	—	4	4	no	—
1598	C₂×C₄	—	4	4	no	—
1599	C₂×C₄	—	4	8	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	4	2	no	—
1602	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1603	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1604	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1605	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1606	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1607	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1608	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1609	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1610	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1611	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1612	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1613	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1614	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1615	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1616	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1617	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1618	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1619	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1620	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1621	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1622	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1623	C₂²	—	2	2	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	4	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	4	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	4	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	8	8	no	—
1638	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	4	yes	—
1639	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1640	C₄	—	2	2	no	—
1641	C₄	—	2	1	no	—
1642	C₄	—	2	2	no	—
1643	C₄	—	2	4	no	—
1644	C₄	—	2	2	no	—
1645	C₄	—	2	2	no	—
1646	C₄	—	2	2	no	—
1647	C₄	—	2	2	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	4	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	2	no	—
1653	C₄	—	2	4	no	—
1654	C₄	—	2	8	no	—
1655	C₄	—	2	2	no	—
1656	C₄	—	2	4	no	—
1657	C₄	—	2	4	no	—
1658	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1659	C₄	#585×C₈₉	1	2	yes	—
1660	C₄	#585×C₈₉	1	2	yes	—
1661	C₂	—	2	4	no	—
1662	C₂	—	4	1	no	—
1663	C₂	—	4	2	no	—
1664	C₂	—	4	4	no	—
1665	C₂	—	4	2	no	—
1666	C₂	C₂²×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1667	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1668	C₂	C₂×#585×C₈₉	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×#3565	C₂	semidirect
2. C₈₉×#3564	C₂	semidirect
3. C₈₉×#3561	C₂	semidirect
4. C₈₉×#3555	C₂	semidirect
5. C₈₉×#3555	C₂	semidirect
6. C₈₉×#3552	C₂	semidirect
7. C₈₉×#3550	C₂	semidirect
8. C₈₉×#3541	C₂	semidirect
9. C₈₉×#3523	C₂	semidirect
10. C₈₉×#3521	C₂	semidirect
11. C₈₉×#3520	C₂	semidirect
12. C₈₉×#3518	C₂	semidirect
13. C₈₉×#3516	C₂	semidirect
14. C₈₉×#3514	C₂	semidirect
15. C₈₉×#3511	C₂	semidirect
16. C₈₉×#3509	C₂	semidirect
17. C₈₉×#3507	C₂	semidirect
18. C₈₉×#3503	C₂	semidirect
19. C₈₉×#3501	C₂	semidirect
20. C₈₉×#3495	C₂	semidirect
21. C₈₉×#3482	C₂	semidirect
22. C₈₉×#3482	C₂	semidirect
23. C₈₉×#3481	C₂	semidirect
24. Q₈×#41×C₈₉	C₂	semidirect
25. C₈₉×#3475	C₂	semidirect
26. C₂×#556×C₈₉	C₂	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #563×C₈₉	C₂²	semidirect
29. #563×C₈₉	C₂²	semidirect
30. #563×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
34. Q₈²×C₈₉	C₂²	semidirect
35. Q₈²×C₈₉	C₂²	semidirect
36. #557×C₈₉	C₂²	semidirect
37. #557×C₈₉	C₂²	semidirect
38. #557×C₈₉	C₂²	semidirect
39. #557×C₈₉	C₂²	semidirect
40. #557×C₈₉	C₂²	semidirect
41. #557×C₈₉	C₂²	semidirect
42. #557×C₈₉	C₂²	semidirect
47. #556×C₈₉	C₂²	semidirect
48. #556×C₈₉	C₂²	semidirect
49. #556×C₈₉	C₂²	semidirect
50. #556×C₈₉	C₂²	semidirect
51. #556×C₈₉	C₂²	semidirect
52. #556×C₈₉	C₂²	semidirect
53. #556×C₈₉	C₂²	semidirect
54. #556×C₈₉	C₂²	semidirect
55. #556×C₈₉	C₂²	semidirect
56. #556×C₈₉	C₂²	semidirect
57. #556×C₈₉	C₂²	semidirect
58. #556×C₈₉	C₂²	semidirect
59. #556×C₈₉	C₂²	semidirect
60. #556×C₈₉	C₂²	semidirect
62. #555×C₈₉	C₂²	semidirect
67. #554×C₈₉	C₂²	semidirect
68. #554×C₈₉	C₂²	semidirect
69. #554×C₈₉	C₂²	semidirect
70. #554×C₈₉	C₂²	semidirect
71. #554×C₈₉	C₂²	semidirect
72. #554×C₈₉	C₂²	semidirect
73. #554×C₈₉	C₂²	semidirect
76. #553×C₈₉	C₂²	semidirect
77. #553×C₈₉	C₂²	semidirect
78. #553×C₈₉	C₂²	semidirect
79. #552×C₈₉	C₂²	semidirect
80. #552×C₈₉	C₂²	semidirect
81. #552×C₈₉	C₂²	semidirect
82. #552×C₈₉	C₂²	semidirect
83. #552×C₈₉	C₂²	semidirect
84. #552×C₈₉	C₂²	semidirect
85. #552×C₈₉	C₂²	semidirect
86. #552×C₈₉	C₂²	semidirect
87. #552×C₈₉	C₂²	semidirect
88. #552×C₈₉	C₂²	semidirect
89. #552×C₈₉	C₂²	semidirect
90. #552×C₈₉	C₂²	semidirect
93. #551×C₈₉	C₂²	semidirect
94. #551×C₈₉	C₂²	semidirect
95. #551×C₈₉	C₂²	semidirect
98. D₄×Q₈×C₈₉	C₂²	semidirect
99. D₄×Q₈×C₈₉	C₂²	semidirect
100. D₄×Q₈×C₈₉	C₂²	semidirect
101. D₄×Q₈×C₈₉	C₂²	semidirect
102. D₄×Q₈×C₈₉	C₂²	semidirect
103. D₄×Q₈×C₈₉	C₂²	semidirect
106. #548×C₈₉	C₂²	semidirect
107. #548×C₈₉	C₂²	semidirect
108. #548×C₈₉	C₂²	semidirect
112. #547×C₈₉	C₂²	semidirect
113. #547×C₈₉	C₂²	semidirect
119. #544×C₈₉	C₂²	semidirect
120. #544×C₈₉	C₂²	semidirect
121. #544×C₈₉	C₂²	semidirect
122. #544×C₈₉	C₂²	semidirect
123. #543×C₈₉	C₂²	semidirect
126. #542×C₈₉	C₂²	semidirect
127. #542×C₈₉	C₂²	semidirect
128. #542×C₈₉	C₂²	semidirect
129. #542×C₈₉	C₂²	semidirect
130. #542×C₈₉	C₂²	semidirect
131. #542×C₈₉	C₂²	semidirect
132. #542×C₈₉	C₂²	semidirect
133. #541×C₈₉	C₂²	semidirect
134. #541×C₈₉	C₂²	semidirect
135. #541×C₈₉	C₂²	semidirect
136. #541×C₈₉	C₂²	semidirect
137. #541×C₈₉	C₂²	semidirect
138. #541×C₈₉	C₂²	semidirect
139. #541×C₈₉	C₂²	semidirect
140. #539×C₈₉	C₂²	semidirect
141. #539×C₈₉	C₂²	semidirect
142. #539×C₈₉	C₂²	semidirect
144. #538×C₈₉	C₂²	semidirect
145. #537×C₈₉	C₂²	semidirect
147. #536×C₈₉	C₂²	semidirect
148. #536×C₈₉	C₂²	semidirect
149. #533×C₈₉	C₂²	semidirect
150. #533×C₈₉	C₂²	semidirect
151. #533×C₈₉	C₂²	semidirect
152. #533×C₈₉	C₂²	semidirect
153. #533×C₈₉	C₂²	semidirect
154. #533×C₈₉	C₂²	semidirect
155. #533×C₈₉	C₂²	semidirect
156. #533×C₈₉	C₂²	semidirect
157. #533×C₈₉	C₂²	semidirect
158. #533×C₈₉	C₂²	semidirect
159. #533×C₈₉	C₂²	semidirect
162. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
163. 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
173. #529×C₈₉	C₂²	semidirect
174. #529×C₈₉	C₂²	semidirect
175. C₂×#126×C₈₉	C₂²	semidirect
178. #525×C₈₉	C₂²	semidirect
179. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
182. #520×C₈₉	C₂²	semidirect
183. #520×C₈₉	C₂²	semidirect
184. #519×C₈₉	C₂²	semidirect
185. #519×C₈₉	C₂²	semidirect
191. C₄×#41×C₈₉	C₂²	semidirect
192. C₄×#41×C₈₉	C₂²	semidirect
193. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
194. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
195. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
198. C₂×#117×C₈₉	C₂²	semidirect
826. #63025	C₈₉	direct (N × H)
835. #3565	C₂×C₈₉	semidirect
836. #3564	C₂×C₈₉	semidirect
837. #3561	C₂×C₈₉	semidirect
838. #3555	C₂×C₈₉	semidirect
839. #3555	C₂×C₈₉	semidirect
840. #3552	C₂×C₈₉	semidirect
841. #3550	C₂×C₈₉	semidirect
842. #3541	C₂×C₈₉	semidirect
843. #3523	C₂×C₈₉	semidirect
844. #3521	C₂×C₈₉	semidirect
845. #3520	C₂×C₈₉	semidirect
846. #3518	C₂×C₈₉	semidirect
847. #3516	C₂×C₈₉	semidirect
848. #3514	C₂×C₈₉	semidirect
849. #3511	C₂×C₈₉	semidirect
850. #3509	C₂×C₈₉	semidirect
851. #3507	C₂×C₈₉	semidirect
852. #3503	C₂×C₈₉	semidirect
853. #3501	C₂×C₈₉	semidirect
854. #3495	C₂×C₈₉	semidirect
855. #3482	C₂×C₈₉	semidirect
856. #3482	C₂×C₈₉	semidirect
857. #3481	C₂×C₈₉	semidirect
858. Q₈×#41	C₂×C₈₉	semidirect
859. #3475	C₂×C₈₉	semidirect
860. C₂×#556	C₂×C₈₉	semidirect
861. C₈₉	#63025	direct (N × H)
862. #563	C₂²×C₈₉	semidirect
863. #563	C₂²×C₈₉	semidirect
864. #563	C₂²×C₈₉	semidirect
865. #563	C₂²×C₈₉	semidirect
866. #562	C₂²×C₈₉	semidirect
869. Q₈²	C₂²×C₈₉	semidirect
870. Q₈²	C₂²×C₈₉	semidirect
871. #557	C₂²×C₈₉	semidirect
872. #557	C₂²×C₈₉	semidirect
873. #557	C₂²×C₈₉	semidirect
874. #557	C₂²×C₈₉	semidirect
875. #557	C₂²×C₈₉	semidirect
876. #557	C₂²×C₈₉	semidirect
877. #557	C₂²×C₈₉	semidirect
882. #556	C₂²×C₈₉	semidirect
883. #556	C₂²×C₈₉	semidirect
884. #556	C₂²×C₈₉	semidirect
885. #556	C₂²×C₈₉	semidirect
886. #556	C₂²×C₈₉	semidirect
887. #556	C₂²×C₈₉	semidirect
888. #556	C₂²×C₈₉	semidirect
889. #556	C₂²×C₈₉	semidirect
890. #556	C₂²×C₈₉	semidirect
891. #556	C₂²×C₈₉	semidirect
892. #556	C₂²×C₈₉	semidirect
893. #556	C₂²×C₈₉	semidirect
894. #556	C₂²×C₈₉	semidirect
895. #556	C₂²×C₈₉	semidirect
897. #555	C₂²×C₈₉	semidirect
902. #554	C₂²×C₈₉	semidirect
903. #554	C₂²×C₈₉	semidirect
904. #554	C₂²×C₈₉	semidirect
905. #554	C₂²×C₈₉	semidirect
906. #554	C₂²×C₈₉	semidirect
907. #554	C₂²×C₈₉	semidirect
908. #554	C₂²×C₈₉	semidirect
911. #553	C₂²×C₈₉	semidirect
912. #553	C₂²×C₈₉	semidirect
913. #553	C₂²×C₈₉	semidirect
914. #552	C₂²×C₈₉	semidirect
915. #552	C₂²×C₈₉	semidirect
916. #552	C₂²×C₈₉	semidirect
917. #552	C₂²×C₈₉	semidirect
918. #552	C₂²×C₈₉	semidirect
919. #552	C₂²×C₈₉	semidirect
920. #552	C₂²×C₈₉	semidirect
921. #552	C₂²×C₈₉	semidirect
922. #552	C₂²×C₈₉	semidirect
923. #552	C₂²×C₈₉	semidirect
924. #552	C₂²×C₈₉	semidirect
925. #552	C₂²×C₈₉	semidirect
928. #551	C₂²×C₈₉	semidirect
929. #551	C₂²×C₈₉	semidirect
930. #551	C₂²×C₈₉	semidirect
933. D₄×Q₈	C₂²×C₈₉	semidirect
934. D₄×Q₈	C₂²×C₈₉	semidirect
935. D₄×Q₈	C₂²×C₈₉	semidirect
936. D₄×Q₈	C₂²×C₈₉	semidirect
937. D₄×Q₈	C₂²×C₈₉	semidirect
938. D₄×Q₈	C₂²×C₈₉	semidirect
941. #548	C₂²×C₈₉	semidirect
942. #548	C₂²×C₈₉	semidirect
943. #548	C₂²×C₈₉	semidirect
947. #547	C₂²×C₈₉	semidirect
948. #547	C₂²×C₈₉	semidirect
954. #544	C₂²×C₈₉	semidirect
955. #544	C₂²×C₈₉	semidirect
956. #544	C₂²×C₈₉	semidirect
957. #544	C₂²×C₈₉	semidirect
958. #543	C₂²×C₈₉	semidirect
961. #542	C₂²×C₈₉	semidirect
962. #542	C₂²×C₈₉	semidirect
963. #542	C₂²×C₈₉	semidirect
964. #542	C₂²×C₈₉	semidirect
965. #542	C₂²×C₈₉	semidirect
966. #542	C₂²×C₈₉	semidirect
967. #542	C₂²×C₈₉	semidirect
968. #541	C₂²×C₈₉	semidirect
969. #541	C₂²×C₈₉	semidirect
970. #541	C₂²×C₈₉	semidirect
971. #541	C₂²×C₈₉	semidirect
972. #541	C₂²×C₈₉	semidirect
973. #541	C₂²×C₈₉	semidirect
974. #541	C₂²×C₈₉	semidirect
975. #539	C₂²×C₈₉	semidirect
976. #539	C₂²×C₈₉	semidirect
977. #539	C₂²×C₈₉	semidirect
979. #538	C₂²×C₈₉	semidirect
980. #537	C₂²×C₈₉	semidirect
982. #536	C₂²×C₈₉	semidirect
983. #536	C₂²×C₈₉	semidirect
984. #533	C₂²×C₈₉	semidirect
985. #533	C₂²×C₈₉	semidirect
986. #533	C₂²×C₈₉	semidirect
987. #533	C₂²×C₈₉	semidirect
988. #533	C₂²×C₈₉	semidirect
989. #533	C₂²×C₈₉	semidirect
990. #533	C₂²×C₈₉	semidirect
991. #533	C₂²×C₈₉	semidirect
992. #533	C₂²×C₈₉	semidirect
993. #533	C₂²×C₈₉	semidirect
994. #533	C₂²×C₈₉	semidirect
997. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
998. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1003. #529	C₂²×C₈₉	semidirect
1004. #529	C₂²×C₈₉	semidirect
1005. #529	C₂²×C₈₉	semidirect
1006. #529	C₂²×C₈₉	semidirect
1007. #529	C₂²×C₈₉	semidirect
1008. #529	C₂²×C₈₉	semidirect
1009. #529	C₂²×C₈₉	semidirect
1010. C₂×#126	C₂²×C₈₉	semidirect
1013. #525	C₂²×C₈₉	semidirect
1014. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1015. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1017. #520	C₂²×C₈₉	semidirect
1018. #520	C₂²×C₈₉	semidirect
1019. #519	C₂²×C₈₉	semidirect
1020. #519	C₂²×C₈₉	semidirect
1026. C₄×#41	C₂²×C₈₉	semidirect
1027. C₄×#41	C₂²×C₈₉	semidirect
1028. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1029. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1030. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1033. C₂×#117	C₂²×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₈₉×#3565	2
C₈₉×#3564	2
C₈₉×#3561	2
C₈₉×#3555	2
C₈₉×#3552	2
C₈₉×#3550	2
C₈₉×#3541	2
C₈₉×#3523	2
C₈₉×#3521	2
C₈₉×#3520	2
C₈₉×#3518	2
C₈₉×#3516	2
C₈₉×#3514	2
C₈₉×#3511	2
C₈₉×#3509	2
C₈₉×#3507	2
C₈₉×#3503	2
C₈₉×#3501	2
C₈₉×#3495	2
C₈₉×#3482	2
C₈₉×#3481	2
Q₈×#41×C₈₉	2
C₈₉×#3475	2
C₂×#556×C₈₉	2
#63025	89

Subgroups — C89×#63025 #36440873

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#63025 #36440873