Subgroups — C₈₉×#62831 #36440679

Order 22784.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 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	4	yes	maximal, complemented
3	C₈₉×#3557	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3554	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3552	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3544	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3523	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3522	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3520	C₂	1	4	yes	maximal, complemented
12	C₈₉×#3518	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3515	C₂	1	4	yes	maximal, complemented
14	C₈₉×#3515	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3510	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3507	C₂	1	4	yes	maximal, complemented
18	C₈₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3504	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3495	C₂	1	2	yes	maximal, complemented
23	C₈₉×#3495	C₂	1	4	yes	maximal, complemented
24	C₈₉×#3494	C₂	1	2	yes	maximal, complemented
25	C₈₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#533×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#529×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#563×C₈₉	C₂²	1	8	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	4	yes	complemented
33	#559×C₈₉	C₂²	1	4	yes	complemented
34	#559×C₈₉	C₂²	1	2	yes	complemented
35	#559×C₈₉	C₂²	1	4	yes	complemented
36	Q₈²×C₈₉	C₂²	1	2	yes	complemented
37	Q₈²×C₈₉	C₂²	1	2	yes	complemented
38	#557×C₈₉	C₂²	1	4	yes	complemented
39	#557×C₈₉	C₂²	1	2	yes	complemented
40	#557×C₈₉	C₂²	1	4	yes	complemented
41	#557×C₈₉	C₂²	1	2	yes	complemented
42	#557×C₈₉	C₂²	1	4	yes	complemented
43	#557×C₈₉	C₂²	1	4	yes	complemented
44	#557×C₈₉	C₂²	1	2	yes	complemented
45	#556×C₈₉	C₂²	1	8	yes	complemented
46	#556×C₈₉	C₂²	1	4	yes	complemented
47	#556×C₈₉	C₂²	1	2	yes	complemented
48	#556×C₈₉	C₂²	1	4	yes	complemented
49	#556×C₈₉	C₂²	1	4	yes	complemented
50	#556×C₈₉	C₂²	1	2	yes	complemented
51	#556×C₈₉	C₂²	1	8	yes	complemented
52	#556×C₈₉	C₂²	1	4	yes	complemented
53	#556×C₈₉	C₂²	1	4	yes	complemented
54	#555×C₈₉	C₂²	1	4	yes	—
55	#555×C₈₉	C₂²	1	2	yes	complemented
56	#554×C₈₉	C₂²	1	8	yes	—
57	#554×C₈₉	C₂²	1	8	yes	—
58	#554×C₈₉	C₂²	1	4	yes	complemented
59	#554×C₈₉	C₂²	1	4	yes	complemented
60	#554×C₈₉	C₂²	1	2	yes	complemented
61	#554×C₈₉	C₂²	1	4	yes	complemented
62	#554×C₈₉	C₂²	1	2	yes	complemented
63	#554×C₈₉	C₂²	1	4	yes	complemented
64	#554×C₈₉	C₂²	1	4	yes	complemented
65	#554×C₈₉	C₂²	1	2	yes	complemented
66	#553×C₈₉	C₂²	1	4	yes	—
67	#553×C₈₉	C₂²	1	4	yes	—
68	#553×C₈₉	C₂²	1	4	yes	complemented
69	#552×C₈₉	C₂²	1	8	yes	—
70	#552×C₈₉	C₂²	1	8	yes	complemented
71	#552×C₈₉	C₂²	1	4	yes	complemented
72	#552×C₈₉	C₂²	1	8	yes	complemented
73	#552×C₈₉	C₂²	1	8	yes	complemented
74	#552×C₈₉	C₂²	1	4	yes	complemented
75	#552×C₈₉	C₂²	1	8	yes	complemented
76	#552×C₈₉	C₂²	1	4	yes	complemented
77	#552×C₈₉	C₂²	1	4	yes	complemented
78	#552×C₈₉	C₂²	1	8	yes	complemented
79	#552×C₈₉	C₂²	1	4	yes	complemented
80	#551×C₈₉	C₂²	1	8	yes	—
81	#551×C₈₉	C₂²	1	8	yes	—
82	#551×C₈₉	C₂²	1	8	yes	—
83	#551×C₈₉	C₂²	1	8	yes	—
84	#550×C₈₉	C₂²	1	2	yes	complemented
85	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
86	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
87	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
88	#548×C₈₉	C₂²	1	4	yes	complemented
89	#548×C₈₉	C₂²	1	4	yes	complemented
90	#547×C₈₉	C₂²	1	4	yes	—
91	#547×C₈₉	C₂²	1	2	yes	complemented
92	#547×C₈₉	C₂²	1	4	yes	complemented
93	#547×C₈₉	C₂²	1	8	yes	complemented
94	#547×C₈₉	C₂²	1	4	yes	complemented
95	#546×C₈₉	C₂²	1	8	yes	—
96	#544×C₈₉	C₂²	1	2	yes	—
97	#544×C₈₉	C₂²	1	2	yes	—
98	#544×C₈₉	C₂²	1	4	yes	—
99	#544×C₈₉	C₂²	1	4	yes	complemented
100	#544×C₈₉	C₂²	1	4	yes	complemented
101	#544×C₈₉	C₂²	1	4	yes	complemented
102	#543×C₈₉	C₂²	1	4	yes	—
103	#542×C₈₉	C₂²	1	4	yes	—
104	#542×C₈₉	C₂²	1	4	yes	complemented
105	#542×C₈₉	C₂²	1	4	yes	complemented
106	#542×C₈₉	C₂²	1	4	yes	complemented
107	#542×C₈₉	C₂²	1	4	yes	complemented
108	#542×C₈₉	C₂²	1	4	yes	complemented
109	#542×C₈₉	C₂²	1	8	yes	complemented
110	#542×C₈₉	C₂²	1	8	yes	complemented
111	#542×C₈₉	C₂²	1	8	yes	complemented
112	#541×C₈₉	C₂²	1	4	yes	complemented
113	#541×C₈₉	C₂²	1	4	yes	complemented
114	#541×C₈₉	C₂²	1	4	yes	complemented
115	#541×C₈₉	C₂²	1	8	yes	complemented
116	#541×C₈₉	C₂²	1	8	yes	complemented
117	#540×C₈₉	C₂²	1	4	yes	—
118	#539×C₈₉	C₂²	1	4	yes	—
119	#539×C₈₉	C₂²	1	8	yes	complemented
120	#539×C₈₉	C₂²	1	8	yes	complemented
121	#539×C₈₉	C₂²	1	8	yes	complemented
122	#539×C₈₉	C₂²	1	8	yes	complemented
123	#539×C₈₉	C₂²	1	8	yes	complemented
124	#538×C₈₉	C₂²	1	4	yes	—
125	#536×C₈₉	C₂²	1	2	yes	—
126	#536×C₈₉	C₂²	1	4	yes	complemented
127	#536×C₈₉	C₂²	1	8	yes	complemented
128	#535×C₈₉	C₂²	1	2	yes	—
129	#533×C₈₉	C₂²	1	2	yes	—
130	#533×C₈₉	C₂²	1	1	yes	characteristic
131	#533×C₈₉	C₂²	1	1	yes	characteristic
132	#533×C₈₉	C₂²	1	2	yes	—
133	#533×C₈₉	C₂²	1	2	yes	—
134	#533×C₈₉	C₂²	1	1	yes	characteristic
135	#533×C₈₉	C₂²	1	4	yes	—
136	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#533×C₈₉	C₂²	1	2	yes	complemented
139	#533×C₈₉	C₂²	1	2	yes	complemented
140	#533×C₈₉	C₂²	1	2	yes	complemented
141	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
142	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
143	#533×C₈₉	C₂²	1	4	yes	complemented
144	#533×C₈₉	C₂²	1	4	yes	complemented
145	#532×C₈₉	C₂²	1	1	yes	characteristic
146	#532×C₈₉	C₂²	1	4	yes	—
147	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
148	#532×C₈₉	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
151	#529×C₈₉	C₂²	1	2	yes	—
152	#529×C₈₉	C₂²	1	2	yes	—
153	#529×C₈₉	C₂²	1	2	yes	—
154	#529×C₈₉	C₂²	1	2	yes	—
155	#529×C₈₉	C₂²	1	2	yes	—
156	#529×C₈₉	C₂²	1	2	yes	—
157	#529×C₈₉	C₂²	1	2	yes	—
158	#529×C₈₉	C₂²	1	2	yes	—
159	#529×C₈₉	C₂²	1	2	yes	—
160	#529×C₈₉	C₂²	1	2	yes	—
161	#529×C₈₉	C₂²	1	4	yes	—
162	#529×C₈₉	C₂²	1	4	yes	—
163	#529×C₈₉	C₂²	1	2	yes	complemented
164	#529×C₈₉	C₂²	1	2	yes	complemented
165	#529×C₈₉	C₂²	1	2	yes	complemented
166	#529×C₈₉	C₂²	1	2	yes	complemented
167	#529×C₈₉	C₂²	1	4	yes	complemented
168	#529×C₈₉	C₂²	1	4	yes	complemented
169	#529×C₈₉	C₂²	1	4	yes	complemented
170	C₂×#126×C₈₉	C₂²	1	2	yes	—
171	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic
172	C₂×#125×C₈₉	C₂²	1	2	yes	complemented
173	C₂×#125×C₈₉	C₂²	1	4	yes	complemented
174	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
175	#525×C₈₉	C₂²	1	2	yes	—
176	#525×C₈₉	C₂²	1	2	yes	—
177	#525×C₈₉	C₂²	1	2	yes	—
178	#525×C₈₉	C₂²	1	4	yes	—
179	C₂×#123×C₈₉	C₂²	1	2	yes	—
180	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
181	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	—
182	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	—
183	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	—
184	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
185	#520×C₈₉	C₂²	1	2	yes	—
186	#520×C₈₉	C₂²	1	2	yes	—
187	#520×C₈₉	C₂²	1	4	yes	complemented
188	#520×C₈₉	C₂²	1	8	yes	complemented
189	#519×C₈₉	C₂²	1	2	yes	—
190	#519×C₈₉	C₂²	1	4	yes	complemented
191	#518×C₈₉	C₂²	1	2	yes	—
192	C₄×#41×C₈₉	C₂²	1	2	yes	—
193	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
194	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
196	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
197	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
198	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
199	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	—
200	C₂×#117×C₈₉	C₂²	1	2	yes	—
201	C₂×#117×C₈₉	C₂²	1	2	yes	—
202	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic
203	C₂×#41×C₈₉	C₂³	1	2	yes	—
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	8	yes	—
208	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
210	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
211	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
212	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
214	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
218	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
219	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
220	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
221	C₄⋊Q₈×C₈₉	C₂³	1	2	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	2	yes	—
227	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
228	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
229	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
230	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
233	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
234	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
235	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
236	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
237	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
238	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
239	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
240	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
241	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
242	#127×C₈₉	C₂³	1	1	yes	characteristic
243	#127×C₈₉	C₂³	1	4	yes	—
244	#126×C₈₉	C₂³	1	4	yes	—
245	#126×C₈₉	C₂³	1	4	yes	—
246	#126×C₈₉	C₂³	1	4	yes	—
247	#126×C₈₉	C₂³	1	4	yes	—
248	#126×C₈₉	C₂³	1	4	yes	—
249	#126×C₈₉	C₂³	1	4	yes	—
250	#126×C₈₉	C₂³	1	8	yes	—
251	#126×C₈₉	C₂³	1	8	yes	—
252	#126×C₈₉	C₂³	1	8	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	8	yes	—
257	#126×C₈₉	C₂³	1	8	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	#126×C₈₉	C₂³	1	8	yes	—
263	#125×C₈₉	C₂³	1	2	yes	—
264	#125×C₈₉	C₂³	1	2	yes	—
265	#125×C₈₉	C₂³	1	2	yes	—
266	#125×C₈₉	C₂³	1	2	yes	—
267	#125×C₈₉	C₂³	1	2	yes	—
268	#125×C₈₉	C₂³	1	2	yes	—
269	#125×C₈₉	C₂³	1	4	yes	—
270	#125×C₈₉	C₂³	1	4	yes	—
271	#125×C₈₉	C₂³	1	2	yes	—
272	#125×C₈₉	C₂³	1	2	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	2	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	4	yes	—
283	#125×C₈₉	C₂³	1	8	yes	—
284	#125×C₈₉	C₂³	1	8	yes	—
285	#125×C₈₉	C₂³	1	8	yes	—
286	#125×C₈₉	C₂³	1	8	yes	—
287	#125×C₈₉	C₂³	1	8	yes	—
288	#125×C₈₉	C₂³	1	8	yes	—
289	#125×C₈₉	C₂³	1	8	yes	—
290	#125×C₈₉	C₂³	1	8	yes	—
291	#125×C₈₉	C₂³	1	8	yes	—
292	#124×C₈₉	C₂³	1	2	yes	—
293	#124×C₈₉	C₂³	1	2	yes	—
294	#124×C₈₉	C₂³	1	2	yes	—
295	#124×C₈₉	C₂³	1	2	yes	—
296	#124×C₈₉	C₂³	1	2	yes	—
297	#124×C₈₉	C₂³	1	2	yes	—
298	#124×C₈₉	C₂³	1	4	yes	—
299	#124×C₈₉	C₂³	1	4	yes	—
300	#124×C₈₉	C₂³	1	2	yes	—
301	#124×C₈₉	C₂³	1	4	yes	—
302	#124×C₈₉	C₂³	1	8	yes	—
303	#124×C₈₉	C₂³	1	8	yes	—
304	#124×C₈₉	C₂³	1	8	yes	—
305	#124×C₈₉	C₂³	1	8	yes	—
306	#124×C₈₉	C₂³	1	8	yes	—
307	#124×C₈₉	C₂³	1	8	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	4	yes	—
313	#123×C₈₉	C₂³	1	4	yes	—
314	#123×C₈₉	C₂³	1	4	yes	—
315	#123×C₈₉	C₂³	1	8	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	#123×C₈₉	C₂³	1	8	yes	—
324	#123×C₈₉	C₂³	1	8	yes	—
325	#123×C₈₉	C₂³	1	8	yes	—
326	#123×C₈₉	C₂³	1	8	yes	—
327	#123×C₈₉	C₂³	1	8	yes	—
328	#123×C₈₉	C₂³	1	8	yes	—
329	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
330	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
331	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
332	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
333	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
334	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
335	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
336	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
337	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
338	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
340	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
341	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
342	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
343	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
344	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
345	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
346	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
347	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
348	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
349	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
350	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
351	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
352	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
353	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
354	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
355	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
356	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
357	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
358	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
359	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
360	C₂²⋊Q₈×C₈₉	C₂³	1	8	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	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
370	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
371	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
372	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
373	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
374	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
375	#121×C₈₉	C₂³	1	2	yes	—
376	#121×C₈₉	C₂³	1	2	yes	—
377	#121×C₈₉	C₂³	1	2	yes	—
378	#121×C₈₉	C₂³	1	2	yes	—
379	#121×C₈₉	C₂³	1	2	yes	—
380	#121×C₈₉	C₂³	1	2	yes	—
381	#121×C₈₉	C₂³	1	2	yes	—
382	#121×C₈₉	C₂³	1	2	yes	—
383	#121×C₈₉	C₂³	1	2	yes	—
384	#121×C₈₉	C₂³	1	2	yes	—
385	#121×C₈₉	C₂³	1	4	yes	—
386	#121×C₈₉	C₂³	1	4	yes	—
387	#121×C₈₉	C₂³	1	4	yes	—
388	#121×C₈₉	C₂³	1	8	yes	—
389	#121×C₈₉	C₂³	1	8	yes	—
390	#121×C₈₉	C₂³	1	8	yes	—
391	#121×C₈₉	C₂³	1	8	yes	—
392	#120×C₈₉	C₂³	1	4	yes	—
393	#120×C₈₉	C₂³	1	8	yes	—
394	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
395	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
396	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
397	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
398	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
399	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
400	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
401	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
402	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
403	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
404	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
405	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
406	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
407	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
408	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
409	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
410	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
411	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
412	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
413	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
414	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
415	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
416	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
417	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
418	C₄×Q₈×C₈₉	C₂³	1	4	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	8	yes	—
423	C₄×Q₈×C₈₉	C₂³	1	8	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	8	yes	—
428	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
429	C₄×D₄×C₈₉	C₂³	1	4	yes	—
430	C₄×D₄×C₈₉	C₂³	1	4	yes	—
431	C₄×D₄×C₈₉	C₂³	1	4	yes	—
432	C₄×D₄×C₈₉	C₂³	1	4	yes	—
433	C₄×D₄×C₈₉	C₂³	1	2	yes	—
434	C₄×D₄×C₈₉	C₂³	1	2	yes	—
435	C₄×D₄×C₈₉	C₂³	1	2	yes	—
436	C₄×D₄×C₈₉	C₂³	1	2	yes	—
437	C₄×D₄×C₈₉	C₂³	1	4	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	4	yes	—
442	C₄×D₄×C₈₉	C₂³	1	2	yes	—
443	C₄×D₄×C₈₉	C₂³	1	4	yes	—
444	C₄×D₄×C₈₉	C₂³	1	4	yes	—
445	C₄×D₄×C₈₉	C₂³	1	4	yes	—
446	C₄×D₄×C₈₉	C₂³	1	2	yes	—
447	C₄×D₄×C₈₉	C₂³	1	2	yes	—
448	C₄×D₄×C₈₉	C₂³	1	2	yes	—
449	C₄×D₄×C₈₉	C₂³	1	4	yes	—
450	C₄×D₄×C₈₉	C₂³	1	4	yes	—
451	C₄×D₄×C₈₉	C₂³	1	4	yes	—
452	C₄×D₄×C₈₉	C₂³	1	4	yes	—
453	C₄×D₄×C₈₉	C₂³	1	8	yes	—
454	C₄×D₄×C₈₉	C₂³	1	8	yes	—
455	C₄×D₄×C₈₉	C₂³	1	4	yes	—
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	4	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	8	yes	—
464	#117×C₈₉	C₂³	1	2	yes	—
465	#117×C₈₉	C₂³	1	2	yes	—
466	#117×C₈₉	C₂³	1	4	yes	—
467	#117×C₈₉	C₂³	1	4	yes	—
468	#117×C₈₉	C₂³	1	4	yes	—
469	#117×C₈₉	C₂³	1	4	yes	—
470	#117×C₈₉	C₂³	1	4	yes	—
471	#117×C₈₉	C₂³	1	4	yes	—
472	#117×C₈₉	C₂³	1	2	yes	—
473	#117×C₈₉	C₂³	1	2	yes	—
474	#117×C₈₉	C₂³	1	2	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	4	yes	—
479	#117×C₈₉	C₂³	1	4	yes	—
480	#117×C₈₉	C₂³	1	8	yes	—
481	#117×C₈₉	C₂³	1	4	yes	—
482	#117×C₈₉	C₂³	1	8	yes	—
483	#117×C₈₉	C₂³	1	8	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	8	yes	—
488	#117×C₈₉	C₂³	1	8	yes	—
489	#117×C₈₉	C₂³	1	8	yes	—
490	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
491	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
492	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
493	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
494	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
495	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
496	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
497	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
498	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
499	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
500	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
501	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
502	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
503	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	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	8	yes	—
507	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
508	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
509	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
510	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
511	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
512	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
513	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
514	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
515	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
516	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
517	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
518	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
528	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
529	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
530	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
531	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
532	#41×C₈₉	—	2	8	no	—
533	#41×C₈₉	—	4	4	no	—
534	#41×C₈₉	—	4	16	no	—
535	#41×C₈₉	—	4	8	no	—
536	#41×C₈₉	—	4	4	no	—
537	C₂×Q₈×C₈₉	—	2	4	no	—
538	C₂×Q₈×C₈₉	—	4	4	no	—
539	C₂×Q₈×C₈₉	—	4	4	no	—
540	C₂×Q₈×C₈₉	—	4	8	no	—
541	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
542	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
543	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
544	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
549	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
550	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
551	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
552	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
553	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
554	C₂×D₄×C₈₉	—	2	4	no	—
555	C₂×D₄×C₈₉	—	4	4	no	—
556	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
557	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
558	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
559	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
560	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
561	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
562	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
563	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
564	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
565	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
566	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
567	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
568	C₂²×C₄×C₈₉	—	2	4	no	—
569	C₂²×C₄×C₈₉	—	4	2	no	—
570	C₂²×C₄×C₈₉	—	4	4	no	—
571	C₂²×C₄×C₈₉	—	4	2	no	—
572	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
583	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
584	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
585	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
594	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
595	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
596	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
597	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
598	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
599	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
600	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
601	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
602	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
603	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
604	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
605	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
606	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
607	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
608	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
609	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
610	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
611	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
612	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
613	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
614	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
615	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
616	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
617	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
618	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
619	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
620	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
621	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
622	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
623	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
625	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
626	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
627	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
628	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
629	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
630	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
631	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
632	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
633	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
634	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
635	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
636	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
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	4	yes	—
642	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
643	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
645	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
646	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
648	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
649	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
650	C₄⋊C₄×C₈₉	C₂⁴	1	2	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	4	yes	—
655	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
656	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
657	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
658	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
659	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
660	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
665	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
672	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
673	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
674	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	8	yes	—
681	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
682	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
683	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
684	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
685	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
686	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
687	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
688	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
689	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
690	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
691	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
692	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
693	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
694	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
695	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
696	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
697	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
698	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
699	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
700	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
701	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
702	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
703	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
704	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
705	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
706	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
707	C₄²×C₈₉	C₂⁴	1	4	yes	—
708	C₄²×C₈₉	C₂⁴	1	4	yes	—
709	C₄²×C₈₉	C₂⁴	1	4	yes	—
710	C₄²×C₈₉	C₂⁴	1	4	yes	—
711	C₄²×C₈₉	C₂⁴	1	4	yes	—
712	C₄²×C₈₉	C₂⁴	1	4	yes	—
713	C₄²×C₈₉	C₂⁴	1	4	yes	—
714	C₄²×C₈₉	C₂⁴	1	4	yes	—
715	C₄²×C₈₉	C₂⁴	1	4	yes	—
716	C₄²×C₈₉	C₂⁴	1	8	yes	—
717	C₄²×C₈₉	C₂⁴	1	8	yes	—
718	C₄²×C₈₉	C₂⁴	1	8	yes	—
719	C₄²×C₈₉	C₂⁴	1	8	yes	—
720	C₂³×C₈₉	—	2	2	no	—
721	C₂³×C₈₉	—	2	2	no	—
722	C₂³×C₈₉	—	2	4	no	—
723	C₂³×C₈₉	—	4	1	no	—
724	C₂³×C₈₉	—	4	2	no	—
725	C₂³×C₈₉	—	4	2	no	—
726	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
727	C₂³×C₈₉	C₂⁵	1	4	yes	—
728	C₂³×C₈₉	C₂⁵	1	4	yes	—
729	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
730	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
731	Q₈×C₈₉	—	2	4	no	—
732	Q₈×C₈₉	—	2	4	no	—
733	Q₈×C₈₉	—	2	4	no	—
734	Q₈×C₈₉	—	2	4	no	—
735	Q₈×C₈₉	—	2	4	no	—
736	Q₈×C₈₉	—	2	4	no	—
737	Q₈×C₈₉	—	4	2	no	—
738	Q₈×C₈₉	—	4	4	no	—
739	Q₈×C₈₉	—	4	8	no	—
740	Q₈×C₈₉	—	4	2	no	—
741	Q₈×C₈₉	—	4	4	no	—
742	Q₈×C₈₉	—	4	2	no	—
743	Q₈×C₈₉	—	4	8	no	—
744	D₄×C₈₉	—	2	8	no	—
745	D₄×C₈₉	—	2	8	no	—
746	D₄×C₈₉	—	2	8	no	—
747	D₄×C₈₉	—	2	4	no	—
748	D₄×C₈₉	—	2	4	no	—
749	D₄×C₈₉	—	2	4	no	—
750	D₄×C₈₉	—	2	4	no	—
751	D₄×C₈₉	—	4	4	no	—
752	D₄×C₈₉	—	4	2	no	—
753	D₄×C₈₉	—	4	8	no	—
754	D₄×C₈₉	—	4	8	no	—
755	D₄×C₈₉	—	4	4	no	—
756	C₂×C₄×C₈₉	—	2	2	no	—
757	C₂×C₄×C₈₉	—	2	4	no	—
758	C₂×C₄×C₈₉	—	2	2	no	—
759	C₂×C₄×C₈₉	—	2	2	no	—
760	C₂×C₄×C₈₉	—	2	8	no	—
761	C₂×C₄×C₈₉	—	2	2	no	—
762	C₂×C₄×C₈₉	—	2	2	no	—
763	C₂×C₄×C₈₉	—	2	2	no	—
764	C₂×C₄×C₈₉	—	2	2	no	—
765	C₂×C₄×C₈₉	—	2	8	no	—
766	C₂×C₄×C₈₉	—	2	2	no	—
767	C₂×C₄×C₈₉	—	2	2	no	—
768	C₂×C₄×C₈₉	—	2	8	no	—
769	C₂×C₄×C₈₉	—	2	2	no	—
770	C₂×C₄×C₈₉	—	4	1	no	—
771	C₂×C₄×C₈₉	—	4	4	no	—
772	C₂×C₄×C₈₉	—	4	1	no	—
773	C₂×C₄×C₈₉	—	4	1	no	—
774	C₂×C₄×C₈₉	—	4	1	no	—
775	C₂×C₄×C₈₉	—	4	1	no	—
776	C₂×C₄×C₈₉	—	4	2	no	—
777	C₂×C₄×C₈₉	—	4	1	no	—
778	C₂×C₄×C₈₉	—	4	1	no	—
779	C₂×C₄×C₈₉	—	4	2	no	—
780	C₂×C₄×C₈₉	—	4	4	no	—
781	C₂×C₄×C₈₉	—	4	8	no	—
782	C₂×C₄×C₈₉	—	4	4	no	—
783	C₂×C₄×C₈₉	—	4	4	no	—
784	C₂×C₄×C₈₉	—	4	8	no	—
785	C₂×C₄×C₈₉	—	4	8	no	—
786	C₂×C₄×C₈₉	—	4	8	no	—
787	C₂×C₄×C₈₉	2₋¹⁺⁴	1	4	yes	—
788	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
789	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
790	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
791	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
792	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
793	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
794	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
795	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
796	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
797	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
800	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
801	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
802	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
803	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
804	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
805	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
806	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
807	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
808	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
809	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
810	C₂²×C₈₉	—	2	1	no	—
811	C₂²×C₈₉	—	2	1	no	—
812	C₂²×C₈₉	—	2	1	no	—
813	C₂²×C₈₉	—	2	1	no	—
814	C₂²×C₈₉	—	2	1	no	—
815	C₂²×C₈₉	—	2	4	no	—
816	C₂²×C₈₉	—	2	4	no	—
817	C₂²×C₈₉	—	2	4	no	—
818	C₂²×C₈₉	—	2	1	no	—
819	C₂²×C₈₉	—	2	4	no	—
820	C₂²×C₈₉	—	2	4	no	—
821	C₂²×C₈₉	—	2	4	no	—
822	C₂²×C₈₉	—	2	1	no	—
823	C₂²×C₈₉	—	4	4	no	—
824	C₂²×C₈₉	—	8	4	no	—
825	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
826	C₂²×C₈₉	#585	1	2	yes	—
827	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
828	C₄×C₈₉	—	2	1	no	—
829	C₄×C₈₉	—	2	1	no	—
830	C₄×C₈₉	—	2	4	no	—
831	C₄×C₈₉	—	2	4	no	—
832	C₄×C₈₉	—	2	1	no	—
833	C₄×C₈₉	—	2	1	no	—
834	C₄×C₈₉	—	2	1	no	—
835	C₄×C₈₉	—	2	4	no	—
836	C₄×C₈₉	—	2	4	no	—
837	C₄×C₈₉	—	2	1	no	—
838	C₄×C₈₉	—	2	1	no	—
839	C₄×C₈₉	—	2	1	no	—
840	C₄×C₈₉	—	2	1	no	—
841	C₄×C₈₉	—	2	4	no	—
842	C₄×C₈₉	—	2	4	no	—
843	C₄×C₈₉	—	2	4	no	—
844	C₄×C₈₉	—	2	4	no	—
845	C₄×C₈₉	—	2	4	no	—
846	C₄×C₈₉	—	2	4	no	—
847	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
848	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
849	C₄×C₈₉	#585	1	2	yes	—
850	#62831	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
851	C₂×C₈₉	—	2	2	no	—
852	C₂×C₈₉	—	2	2	no	—
853	C₂×C₈₉	—	4	4	no	—
854	C₂×C₈₉	—	4	1	no	—
855	C₂×C₈₉	—	4	4	no	—
856	C₂×C₈₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
857	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
858	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
859	#3565	C₂×C₈₉	1	4	yes	complemented
860	#3564	C₂×C₈₉	1	4	yes	complemented
861	#3557	C₂×C₈₉	1	4	yes	complemented
862	#3555	C₂×C₈₉	1	2	yes	complemented
863	#3554	C₂×C₈₉	1	2	yes	complemented
864	#3552	C₂×C₈₉	1	2	yes	complemented
865	#3544	C₂×C₈₉	1	2	yes	complemented
866	#3535	C₂×C₈₉	1	4	yes	complemented
867	#3523	C₂×C₈₉	1	2	yes	complemented
868	#3522	C₂×C₈₉	1	2	yes	complemented
869	#3520	C₂×C₈₉	1	4	yes	complemented
870	#3518	C₂×C₈₉	1	2	yes	complemented
871	#3515	C₂×C₈₉	1	4	yes	complemented
872	#3515	C₂×C₈₉	1	2	yes	complemented
873	#3510	C₂×C₈₉	1	2	yes	complemented
874	#3507	C₂×C₈₉	1	1	yes	characteristic, complemented
875	#3507	C₂×C₈₉	1	4	yes	complemented
876	#3506	C₂×C₈₉	1	1	yes	characteristic, complemented
877	#3504	C₂×C₈₉	1	2	yes	complemented
878	#3502	C₂×C₈₉	1	1	yes	characteristic, complemented
879	#3501	C₂×C₈₉	1	1	yes	characteristic, complemented
880	#3495	C₂×C₈₉	1	2	yes	complemented
881	#3495	C₂×C₈₉	1	4	yes	complemented
882	#3494	C₂×C₈₉	1	2	yes	complemented
883	#3444	C₂×C₈₉	1	1	yes	characteristic, complemented
884	C₂×#533	C₂×C₈₉	1	1	yes	characteristic, complemented
885	C₂×#529	C₂×C₈₉	1	1	yes	characteristic, complemented
886	C₈₉	#62831	1	1	yes	characteristic, direct product factor, Sylow
887	#563	C₂²×C₈₉	1	8	yes	complemented
888	#563	C₂²×C₈₉	1	8	yes	complemented
889	#563	C₂²×C₈₉	1	8	yes	complemented
890	#562	C₂²×C₈₉	1	8	yes	complemented
891	#559	C₂²×C₈₉	1	4	yes	complemented
892	#559	C₂²×C₈₉	1	4	yes	complemented
893	#559	C₂²×C₈₉	1	2	yes	complemented
894	#559	C₂²×C₈₉	1	4	yes	complemented
895	Q₈²	C₂²×C₈₉	1	2	yes	complemented
896	Q₈²	C₂²×C₈₉	1	2	yes	complemented
897	#557	C₂²×C₈₉	1	4	yes	complemented
898	#557	C₂²×C₈₉	1	2	yes	complemented
899	#557	C₂²×C₈₉	1	4	yes	complemented
900	#557	C₂²×C₈₉	1	2	yes	complemented
901	#557	C₂²×C₈₉	1	4	yes	complemented
902	#557	C₂²×C₈₉	1	4	yes	complemented
903	#557	C₂²×C₈₉	1	2	yes	complemented
904	#556	C₂²×C₈₉	1	8	yes	complemented
905	#556	C₂²×C₈₉	1	4	yes	complemented
906	#556	C₂²×C₈₉	1	2	yes	complemented
907	#556	C₂²×C₈₉	1	4	yes	complemented
908	#556	C₂²×C₈₉	1	4	yes	complemented
909	#556	C₂²×C₈₉	1	2	yes	complemented
910	#556	C₂²×C₈₉	1	8	yes	complemented
911	#556	C₂²×C₈₉	1	4	yes	complemented
912	#556	C₂²×C₈₉	1	4	yes	complemented
913	#555	C₂²×C₈₉	1	4	yes	—
914	#555	C₂²×C₈₉	1	2	yes	complemented
915	#554	C₂²×C₈₉	1	8	yes	—
916	#554	C₂²×C₈₉	1	8	yes	—
917	#554	C₂²×C₈₉	1	4	yes	complemented
918	#554	C₂²×C₈₉	1	4	yes	complemented
919	#554	C₂²×C₈₉	1	2	yes	complemented
920	#554	C₂²×C₈₉	1	4	yes	complemented
921	#554	C₂²×C₈₉	1	2	yes	complemented
922	#554	C₂²×C₈₉	1	4	yes	complemented
923	#554	C₂²×C₈₉	1	4	yes	complemented
924	#554	C₂²×C₈₉	1	2	yes	complemented
925	#553	C₂²×C₈₉	1	4	yes	—
926	#553	C₂²×C₈₉	1	4	yes	—
927	#553	C₂²×C₈₉	1	4	yes	complemented
928	#552	C₂²×C₈₉	1	8	yes	—
929	#552	C₂²×C₈₉	1	8	yes	complemented
930	#552	C₂²×C₈₉	1	4	yes	complemented
931	#552	C₂²×C₈₉	1	8	yes	complemented
932	#552	C₂²×C₈₉	1	8	yes	complemented
933	#552	C₂²×C₈₉	1	4	yes	complemented
934	#552	C₂²×C₈₉	1	8	yes	complemented
935	#552	C₂²×C₈₉	1	4	yes	complemented
936	#552	C₂²×C₈₉	1	4	yes	complemented
937	#552	C₂²×C₈₉	1	8	yes	complemented
938	#552	C₂²×C₈₉	1	4	yes	complemented
939	#551	C₂²×C₈₉	1	8	yes	—
940	#551	C₂²×C₈₉	1	8	yes	—
941	#551	C₂²×C₈₉	1	8	yes	—
942	#551	C₂²×C₈₉	1	8	yes	—
943	#550	C₂²×C₈₉	1	2	yes	complemented
944	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
945	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
946	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
947	#548	C₂²×C₈₉	1	4	yes	complemented
948	#548	C₂²×C₈₉	1	4	yes	complemented
949	#547	C₂²×C₈₉	1	4	yes	—
950	#547	C₂²×C₈₉	1	2	yes	complemented
951	#547	C₂²×C₈₉	1	4	yes	complemented
952	#547	C₂²×C₈₉	1	8	yes	complemented
953	#547	C₂²×C₈₉	1	4	yes	complemented
954	#546	C₂²×C₈₉	1	8	yes	—
955	#544	C₂²×C₈₉	1	2	yes	—
956	#544	C₂²×C₈₉	1	2	yes	—
957	#544	C₂²×C₈₉	1	4	yes	—
958	#544	C₂²×C₈₉	1	4	yes	complemented
959	#544	C₂²×C₈₉	1	4	yes	complemented
960	#544	C₂²×C₈₉	1	4	yes	complemented
961	#543	C₂²×C₈₉	1	4	yes	—
962	#542	C₂²×C₈₉	1	4	yes	—
963	#542	C₂²×C₈₉	1	4	yes	complemented
964	#542	C₂²×C₈₉	1	4	yes	complemented
965	#542	C₂²×C₈₉	1	4	yes	complemented
966	#542	C₂²×C₈₉	1	4	yes	complemented
967	#542	C₂²×C₈₉	1	4	yes	complemented
968	#542	C₂²×C₈₉	1	8	yes	complemented
969	#542	C₂²×C₈₉	1	8	yes	complemented
970	#542	C₂²×C₈₉	1	8	yes	complemented
971	#541	C₂²×C₈₉	1	4	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	#541	C₂²×C₈₉	1	8	yes	complemented
976	#540	C₂²×C₈₉	1	4	yes	—
977	#539	C₂²×C₈₉	1	4	yes	—
978	#539	C₂²×C₈₉	1	8	yes	complemented
979	#539	C₂²×C₈₉	1	8	yes	complemented
980	#539	C₂²×C₈₉	1	8	yes	complemented
981	#539	C₂²×C₈₉	1	8	yes	complemented
982	#539	C₂²×C₈₉	1	8	yes	complemented
983	#538	C₂²×C₈₉	1	4	yes	—
984	#536	C₂²×C₈₉	1	2	yes	—
985	#536	C₂²×C₈₉	1	4	yes	complemented
986	#536	C₂²×C₈₉	1	8	yes	complemented
987	#535	C₂²×C₈₉	1	2	yes	—
988	#533	C₂²×C₈₉	1	2	yes	—
989	#533	C₂²×C₈₉	1	1	yes	characteristic
990	#533	C₂²×C₈₉	1	1	yes	characteristic
991	#533	C₂²×C₈₉	1	2	yes	—
992	#533	C₂²×C₈₉	1	2	yes	—
993	#533	C₂²×C₈₉	1	1	yes	characteristic
994	#533	C₂²×C₈₉	1	4	yes	—
995	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
996	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
997	#533	C₂²×C₈₉	1	2	yes	complemented
998	#533	C₂²×C₈₉	1	2	yes	complemented
999	#533	C₂²×C₈₉	1	2	yes	complemented
1000	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1001	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1002	#533	C₂²×C₈₉	1	4	yes	complemented
1003	#533	C₂²×C₈₉	1	4	yes	complemented
1004	#532	C₂²×C₈₉	1	1	yes	characteristic
1005	#532	C₂²×C₈₉	1	4	yes	—
1006	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1007	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
1008	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1009	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1010	#529	C₂²×C₈₉	1	2	yes	—
1011	#529	C₂²×C₈₉	1	2	yes	—
1012	#529	C₂²×C₈₉	1	2	yes	—
1013	#529	C₂²×C₈₉	1	2	yes	—
1014	#529	C₂²×C₈₉	1	2	yes	—
1015	#529	C₂²×C₈₉	1	2	yes	—
1016	#529	C₂²×C₈₉	1	2	yes	—
1017	#529	C₂²×C₈₉	1	2	yes	—
1018	#529	C₂²×C₈₉	1	2	yes	—
1019	#529	C₂²×C₈₉	1	2	yes	—
1020	#529	C₂²×C₈₉	1	4	yes	—
1021	#529	C₂²×C₈₉	1	4	yes	—
1022	#529	C₂²×C₈₉	1	2	yes	complemented
1023	#529	C₂²×C₈₉	1	2	yes	complemented
1024	#529	C₂²×C₈₉	1	2	yes	complemented
1025	#529	C₂²×C₈₉	1	2	yes	complemented
1026	#529	C₂²×C₈₉	1	4	yes	complemented
1027	#529	C₂²×C₈₉	1	4	yes	complemented
1028	#529	C₂²×C₈₉	1	4	yes	complemented
1029	C₂×#126	C₂²×C₈₉	1	2	yes	—
1030	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic
1031	C₂×#125	C₂²×C₈₉	1	2	yes	complemented
1032	C₂×#125	C₂²×C₈₉	1	4	yes	complemented
1033	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
1034	#525	C₂²×C₈₉	1	2	yes	—
1035	#525	C₂²×C₈₉	1	2	yes	—
1036	#525	C₂²×C₈₉	1	2	yes	—
1037	#525	C₂²×C₈₉	1	4	yes	—
1038	C₂×#123	C₂²×C₈₉	1	2	yes	—
1039	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
1040	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	—
1041	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	—
1042	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	—
1043	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
1044	#520	C₂²×C₈₉	1	2	yes	—
1045	#520	C₂²×C₈₉	1	2	yes	—
1046	#520	C₂²×C₈₉	1	4	yes	complemented
1047	#520	C₂²×C₈₉	1	8	yes	complemented
1048	#519	C₂²×C₈₉	1	2	yes	—
1049	#519	C₂²×C₈₉	1	4	yes	complemented
1050	#518	C₂²×C₈₉	1	2	yes	—
1051	C₄×#41	C₂²×C₈₉	1	2	yes	—
1052	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
1053	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
1054	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
1055	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1056	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1057	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
1058	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	—
1059	C₂×#117	C₂²×C₈₉	1	2	yes	—
1060	C₂×#117	C₂²×C₈₉	1	2	yes	—
1061	C₂²×C₄²	C₂²×C₈₉	1	1	yes	characteristic
1062	C₂×#41	C₂³×C₈₉	1	2	yes	—
1063	C₂×#41	C₂³×C₈₉	1	2	yes	—
1064	C₂×#41	C₂³×C₈₉	1	2	yes	—
1065	C₂×#41	C₂³×C₈₉	1	4	yes	—
1066	C₂×#41	C₂³×C₈₉	1	8	yes	—
1067	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1068	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1069	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1070	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1071	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1073	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1075	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1078	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1079	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1080	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1081	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1084	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1085	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1086	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1087	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1088	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1089	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1090	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1091	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1092	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1093	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1094	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1095	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1096	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1097	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1098	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1099	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1100	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
1101	#127	C₂³×C₈₉	1	1	yes	characteristic
1102	#127	C₂³×C₈₉	1	4	yes	—
1103	#126	C₂³×C₈₉	1	4	yes	—
1104	#126	C₂³×C₈₉	1	4	yes	—
1105	#126	C₂³×C₈₉	1	4	yes	—
1106	#126	C₂³×C₈₉	1	4	yes	—
1107	#126	C₂³×C₈₉	1	4	yes	—
1108	#126	C₂³×C₈₉	1	4	yes	—
1109	#126	C₂³×C₈₉	1	8	yes	—
1110	#126	C₂³×C₈₉	1	8	yes	—
1111	#126	C₂³×C₈₉	1	8	yes	—
1112	#126	C₂³×C₈₉	1	8	yes	—
1113	#126	C₂³×C₈₉	1	8	yes	—
1114	#126	C₂³×C₈₉	1	8	yes	—
1115	#126	C₂³×C₈₉	1	8	yes	—
1116	#126	C₂³×C₈₉	1	8	yes	—
1117	#126	C₂³×C₈₉	1	8	yes	—
1118	#126	C₂³×C₈₉	1	8	yes	—
1119	#126	C₂³×C₈₉	1	8	yes	—
1120	#126	C₂³×C₈₉	1	8	yes	—
1121	#126	C₂³×C₈₉	1	8	yes	—
1122	#125	C₂³×C₈₉	1	2	yes	—
1123	#125	C₂³×C₈₉	1	2	yes	—
1124	#125	C₂³×C₈₉	1	2	yes	—
1125	#125	C₂³×C₈₉	1	2	yes	—
1126	#125	C₂³×C₈₉	1	2	yes	—
1127	#125	C₂³×C₈₉	1	2	yes	—
1128	#125	C₂³×C₈₉	1	4	yes	—
1129	#125	C₂³×C₈₉	1	4	yes	—
1130	#125	C₂³×C₈₉	1	2	yes	—
1131	#125	C₂³×C₈₉	1	2	yes	—
1132	#125	C₂³×C₈₉	1	8	yes	—
1133	#125	C₂³×C₈₉	1	8	yes	—
1134	#125	C₂³×C₈₉	1	4	yes	—
1135	#125	C₂³×C₈₉	1	4	yes	—
1136	#125	C₂³×C₈₉	1	2	yes	—
1137	#125	C₂³×C₈₉	1	2	yes	—
1138	#125	C₂³×C₈₉	1	4	yes	—
1139	#125	C₂³×C₈₉	1	4	yes	—
1140	#125	C₂³×C₈₉	1	2	yes	—
1141	#125	C₂³×C₈₉	1	4	yes	—
1142	#125	C₂³×C₈₉	1	8	yes	—
1143	#125	C₂³×C₈₉	1	8	yes	—
1144	#125	C₂³×C₈₉	1	8	yes	—
1145	#125	C₂³×C₈₉	1	8	yes	—
1146	#125	C₂³×C₈₉	1	8	yes	—
1147	#125	C₂³×C₈₉	1	8	yes	—
1148	#125	C₂³×C₈₉	1	8	yes	—
1149	#125	C₂³×C₈₉	1	8	yes	—
1150	#125	C₂³×C₈₉	1	8	yes	—
1151	#124	C₂³×C₈₉	1	2	yes	—
1152	#124	C₂³×C₈₉	1	2	yes	—
1153	#124	C₂³×C₈₉	1	2	yes	—
1154	#124	C₂³×C₈₉	1	2	yes	—
1155	#124	C₂³×C₈₉	1	2	yes	—
1156	#124	C₂³×C₈₉	1	2	yes	—
1157	#124	C₂³×C₈₉	1	4	yes	—
1158	#124	C₂³×C₈₉	1	4	yes	—
1159	#124	C₂³×C₈₉	1	2	yes	—
1160	#124	C₂³×C₈₉	1	4	yes	—
1161	#124	C₂³×C₈₉	1	8	yes	—
1162	#124	C₂³×C₈₉	1	8	yes	—
1163	#124	C₂³×C₈₉	1	8	yes	—
1164	#124	C₂³×C₈₉	1	8	yes	—
1165	#124	C₂³×C₈₉	1	8	yes	—
1166	#124	C₂³×C₈₉	1	8	yes	—
1167	#123	C₂³×C₈₉	1	4	yes	—
1168	#123	C₂³×C₈₉	1	4	yes	—
1169	#123	C₂³×C₈₉	1	4	yes	—
1170	#123	C₂³×C₈₉	1	4	yes	—
1171	#123	C₂³×C₈₉	1	4	yes	—
1172	#123	C₂³×C₈₉	1	4	yes	—
1173	#123	C₂³×C₈₉	1	4	yes	—
1174	#123	C₂³×C₈₉	1	8	yes	—
1175	#123	C₂³×C₈₉	1	8	yes	—
1176	#123	C₂³×C₈₉	1	8	yes	—
1177	#123	C₂³×C₈₉	1	8	yes	—
1178	#123	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	8	yes	—
1184	#123	C₂³×C₈₉	1	8	yes	—
1185	#123	C₂³×C₈₉	1	8	yes	—
1186	#123	C₂³×C₈₉	1	8	yes	—
1187	#123	C₂³×C₈₉	1	8	yes	—
1188	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1189	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1190	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1191	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1192	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1193	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1194	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1195	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1196	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1197	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1198	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1199	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1200	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1201	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1202	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1203	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1204	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1205	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1206	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1207	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1208	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1209	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1210	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1211	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1212	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1213	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1214	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1215	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1217	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1218	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1221	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1222	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1223	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1224	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1225	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1226	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1227	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1228	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1229	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1231	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1232	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1233	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1234	#121	C₂³×C₈₉	1	2	yes	—
1235	#121	C₂³×C₈₉	1	2	yes	—
1236	#121	C₂³×C₈₉	1	2	yes	—
1237	#121	C₂³×C₈₉	1	2	yes	—
1238	#121	C₂³×C₈₉	1	2	yes	—
1239	#121	C₂³×C₈₉	1	2	yes	—
1240	#121	C₂³×C₈₉	1	2	yes	—
1241	#121	C₂³×C₈₉	1	2	yes	—
1242	#121	C₂³×C₈₉	1	2	yes	—
1243	#121	C₂³×C₈₉	1	2	yes	—
1244	#121	C₂³×C₈₉	1	4	yes	—
1245	#121	C₂³×C₈₉	1	4	yes	—
1246	#121	C₂³×C₈₉	1	4	yes	—
1247	#121	C₂³×C₈₉	1	8	yes	—
1248	#121	C₂³×C₈₉	1	8	yes	—
1249	#121	C₂³×C₈₉	1	8	yes	—
1250	#121	C₂³×C₈₉	1	8	yes	—
1251	#120	C₂³×C₈₉	1	4	yes	—
1252	#120	C₂³×C₈₉	1	8	yes	—
1253	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1254	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1255	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1256	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1257	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1258	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1259	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1260	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1261	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1262	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1263	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1264	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1265	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1266	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1267	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1268	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1269	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1270	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1271	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1272	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1273	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1274	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1275	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1276	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1277	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1278	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1279	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1280	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1281	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1282	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1283	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1284	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1285	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1286	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1287	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1288	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1289	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1290	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1291	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1292	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1293	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1294	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1295	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1296	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1297	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1298	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1299	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1300	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1301	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1302	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1303	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1304	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1305	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1306	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1307	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1308	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1309	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1310	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1311	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1312	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1313	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1314	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1315	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1316	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1317	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1318	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1319	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1320	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1321	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1322	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1323	#117	C₂³×C₈₉	1	2	yes	—
1324	#117	C₂³×C₈₉	1	2	yes	—
1325	#117	C₂³×C₈₉	1	4	yes	—
1326	#117	C₂³×C₈₉	1	4	yes	—
1327	#117	C₂³×C₈₉	1	4	yes	—
1328	#117	C₂³×C₈₉	1	4	yes	—
1329	#117	C₂³×C₈₉	1	4	yes	—
1330	#117	C₂³×C₈₉	1	4	yes	—
1331	#117	C₂³×C₈₉	1	2	yes	—
1332	#117	C₂³×C₈₉	1	2	yes	—
1333	#117	C₂³×C₈₉	1	2	yes	—
1334	#117	C₂³×C₈₉	1	4	yes	—
1335	#117	C₂³×C₈₉	1	2	yes	—
1336	#117	C₂³×C₈₉	1	2	yes	—
1337	#117	C₂³×C₈₉	1	4	yes	—
1338	#117	C₂³×C₈₉	1	4	yes	—
1339	#117	C₂³×C₈₉	1	8	yes	—
1340	#117	C₂³×C₈₉	1	4	yes	—
1341	#117	C₂³×C₈₉	1	8	yes	—
1342	#117	C₂³×C₈₉	1	8	yes	—
1343	#117	C₂³×C₈₉	1	4	yes	—
1344	#117	C₂³×C₈₉	1	4	yes	—
1345	#117	C₂³×C₈₉	1	8	yes	—
1346	#117	C₂³×C₈₉	1	8	yes	—
1347	#117	C₂³×C₈₉	1	8	yes	—
1348	#117	C₂³×C₈₉	1	8	yes	—
1349	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1350	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1351	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1352	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1353	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1354	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1355	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1356	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1357	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1358	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1359	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1360	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1361	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1362	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1363	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1364	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1365	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1366	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1367	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1368	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1369	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1370	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1371	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1372	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1373	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1374	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1375	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1376	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1377	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1378	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1379	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1380	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1381	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1382	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1383	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1384	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1385	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1386	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1387	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1388	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1389	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1390	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1391	#41	—	2	8	no	—
1392	#41	—	4	4	no	—
1393	#41	—	4	16	no	—
1394	#41	—	4	8	no	—
1395	#41	—	4	4	no	—
1396	C₂×Q₈	—	2	4	no	—
1397	C₂×Q₈	—	4	4	no	—
1398	C₂×Q₈	—	4	4	no	—
1399	C₂×Q₈	—	4	8	no	—
1400	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1401	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1402	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1403	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1404	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1405	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1406	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1407	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1408	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1409	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1410	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1411	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1412	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1413	C₂×D₄	—	2	4	no	—
1414	C₂×D₄	—	4	4	no	—
1415	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1416	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1417	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1418	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1419	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1420	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1421	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1422	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1423	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1424	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1425	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1426	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1427	C₂²×C₄	—	2	4	no	—
1428	C₂²×C₄	—	4	2	no	—
1429	C₂²×C₄	—	4	4	no	—
1430	C₂²×C₄	—	4	2	no	—
1431	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1435	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1442	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1443	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1444	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1445	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1446	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1447	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1453	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1454	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1455	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1456	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1457	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1458	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1459	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1460	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1461	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1462	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1464	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1465	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1466	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1467	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1468	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1469	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1470	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1471	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1472	C₄⋊C₄	C₂⁴×C₈₉	1	4	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	8	yes	—
1477	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1478	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1479	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1480	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1481	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1483	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1484	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1485	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1486	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1487	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1488	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1490	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1491	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1492	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1493	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1494	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1495	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1496	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1497	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1498	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1499	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1500	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1501	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1502	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1503	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1504	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1505	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1506	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1507	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1508	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1509	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1510	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1511	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1514	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1515	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1516	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1517	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1518	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1519	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1520	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1521	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1522	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1523	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1524	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1525	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1526	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1527	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1528	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1529	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1530	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1531	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1532	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1533	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1534	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1535	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1538	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1539	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1540	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1541	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1542	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1543	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1544	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1546	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1547	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1548	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1549	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1550	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1559	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1564	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1565	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1566	C₄²	C₂⁴×C₈₉	1	4	yes	—
1567	C₄²	C₂⁴×C₈₉	1	4	yes	—
1568	C₄²	C₂⁴×C₈₉	1	4	yes	—
1569	C₄²	C₂⁴×C₈₉	1	4	yes	—
1570	C₄²	C₂⁴×C₈₉	1	4	yes	—
1571	C₄²	C₂⁴×C₈₉	1	4	yes	—
1572	C₄²	C₂⁴×C₈₉	1	4	yes	—
1573	C₄²	C₂⁴×C₈₉	1	4	yes	—
1574	C₄²	C₂⁴×C₈₉	1	4	yes	—
1575	C₄²	C₂⁴×C₈₉	1	8	yes	—
1576	C₄²	C₂⁴×C₈₉	1	8	yes	—
1577	C₄²	C₂⁴×C₈₉	1	8	yes	—
1578	C₄²	C₂⁴×C₈₉	1	8	yes	—
1579	C₂³	—	2	2	no	—
1580	C₂³	—	2	2	no	—
1581	C₂³	—	2	4	no	—
1582	C₂³	—	4	1	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	—	4	2	no	—
1585	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1586	C₂³	C₂⁵×C₈₉	1	4	yes	—
1587	C₂³	C₂⁵×C₈₉	1	4	yes	—
1588	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1589	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1590	Q₈	—	2	4	no	—
1591	Q₈	—	2	4	no	—
1592	Q₈	—	2	4	no	—
1593	Q₈	—	2	4	no	—
1594	Q₈	—	2	4	no	—
1595	Q₈	—	2	4	no	—
1596	Q₈	—	4	2	no	—
1597	Q₈	—	4	4	no	—
1598	Q₈	—	4	8	no	—
1599	Q₈	—	4	2	no	—
1600	Q₈	—	4	4	no	—
1601	Q₈	—	4	2	no	—
1602	Q₈	—	4	8	no	—
1603	D₄	—	2	8	no	—
1604	D₄	—	2	8	no	—
1605	D₄	—	2	8	no	—
1606	D₄	—	2	4	no	—
1607	D₄	—	2	4	no	—
1608	D₄	—	2	4	no	—
1609	D₄	—	2	4	no	—
1610	D₄	—	4	4	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	4	8	no	—
1613	D₄	—	4	8	no	—
1614	D₄	—	4	4	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	4	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	8	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	8	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	8	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	4	1	no	—
1630	C₂×C₄	—	4	4	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	1	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	4	no	—
1640	C₂×C₄	—	4	8	no	—
1641	C₂×C₄	—	4	4	no	—
1642	C₂×C₄	—	4	4	no	—
1643	C₂×C₄	—	4	8	no	—
1644	C₂×C₄	—	4	8	no	—
1645	C₂×C₄	—	4	8	no	—
1646	C₂×C₄	2₋¹⁺⁴×C₈₉	1	4	yes	—
1647	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1648	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1649	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1650	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1651	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1652	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1653	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1654	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1655	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1656	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1658	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1659	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1660	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1661	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1662	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1665	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1666	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1667	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1668	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	4	no	—
1675	C₂²	—	2	4	no	—
1676	C₂²	—	2	4	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	4	no	—
1679	C₂²	—	2	4	no	—
1680	C₂²	—	2	4	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	4	4	no	—
1683	C₂²	—	8	4	no	—
1684	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1685	C₂²	#585×C₈₉	1	2	yes	—
1686	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	4	no	—
1690	C₄	—	2	4	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	4	no	—
1695	C₄	—	2	4	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	4	no	—
1701	C₄	—	2	4	no	—
1702	C₄	—	2	4	no	—
1703	C₄	—	2	4	no	—
1704	C₄	—	2	4	no	—
1705	C₄	—	2	4	no	—
1706	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1707	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1708	C₄	#585×C₈₉	1	2	yes	—
1709	C₂	—	2	2	no	—
1710	C₂	—	2	2	no	—
1711	C₂	—	4	4	no	—
1712	C₂	—	4	1	no	—
1713	C₂	—	4	4	no	—
1714	C₂	C₂²×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1715	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1716	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×#3557	C₂	semidirect
4. C₈₉×#3555	C₂	semidirect
5. C₈₉×#3554	C₂	semidirect
6. C₈₉×#3552	C₂	semidirect
7. C₈₉×#3544	C₂	semidirect
8. C₈₉×#3535	C₂	semidirect
9. C₈₉×#3523	C₂	semidirect
10. C₈₉×#3522	C₂	semidirect
11. C₈₉×#3520	C₂	semidirect
12. C₈₉×#3518	C₂	semidirect
13. C₈₉×#3515	C₂	semidirect
14. C₈₉×#3515	C₂	semidirect
15. C₈₉×#3510	C₂	semidirect
16. C₈₉×#3507	C₂	semidirect
17. C₈₉×#3507	C₂	semidirect
18. C₈₉×#3506	C₂	semidirect
19. C₈₉×#3504	C₂	semidirect
20. C₈₉×#3502	C₂	semidirect
21. C₈₉×#3501	C₂	semidirect
22. C₈₉×#3495	C₂	semidirect
23. C₈₉×#3495	C₂	semidirect
24. C₈₉×#3494	C₂	semidirect
25. C₈₉×#3444	C₂	semidirect
26. C₂×#533×C₈₉	C₂	semidirect
27. C₂×#529×C₈₉	C₂	semidirect
28. #563×C₈₉	C₂²	semidirect
29. #563×C₈₉	C₂²	semidirect
30. #563×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. #559×C₈₉	C₂²	semidirect
33. #559×C₈₉	C₂²	semidirect
34. #559×C₈₉	C₂²	semidirect
35. #559×C₈₉	C₂²	semidirect
36. Q₈²×C₈₉	C₂²	semidirect
37. Q₈²×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
43. #557×C₈₉	C₂²	semidirect
44. #557×C₈₉	C₂²	semidirect
45. #556×C₈₉	C₂²	semidirect
46. #556×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
55. #555×C₈₉	C₂²	semidirect
58. #554×C₈₉	C₂²	semidirect
59. #554×C₈₉	C₂²	semidirect
60. #554×C₈₉	C₂²	semidirect
61. #554×C₈₉	C₂²	semidirect
62. #554×C₈₉	C₂²	semidirect
63. #554×C₈₉	C₂²	semidirect
64. #554×C₈₉	C₂²	semidirect
65. #554×C₈₉	C₂²	semidirect
68. #553×C₈₉	C₂²	semidirect
70. #552×C₈₉	C₂²	semidirect
71. #552×C₈₉	C₂²	semidirect
72. #552×C₈₉	C₂²	semidirect
73. #552×C₈₉	C₂²	semidirect
74. #552×C₈₉	C₂²	semidirect
75. #552×C₈₉	C₂²	semidirect
76. #552×C₈₉	C₂²	semidirect
77. #552×C₈₉	C₂²	semidirect
78. #552×C₈₉	C₂²	semidirect
79. #552×C₈₉	C₂²	semidirect
84. #550×C₈₉	C₂²	semidirect
85. D₄×Q₈×C₈₉	C₂²	semidirect
86. D₄×Q₈×C₈₉	C₂²	semidirect
87. D₄×Q₈×C₈₉	C₂²	semidirect
88. #548×C₈₉	C₂²	semidirect
89. #548×C₈₉	C₂²	semidirect
91. #547×C₈₉	C₂²	semidirect
92. #547×C₈₉	C₂²	semidirect
93. #547×C₈₉	C₂²	semidirect
94. #547×C₈₉	C₂²	semidirect
99. #544×C₈₉	C₂²	semidirect
100. #544×C₈₉	C₂²	semidirect
101. #544×C₈₉	C₂²	semidirect
104. #542×C₈₉	C₂²	semidirect
105. #542×C₈₉	C₂²	semidirect
106. #542×C₈₉	C₂²	semidirect
107. #542×C₈₉	C₂²	semidirect
108. #542×C₈₉	C₂²	semidirect
109. #542×C₈₉	C₂²	semidirect
110. #542×C₈₉	C₂²	semidirect
111. #542×C₈₉	C₂²	semidirect
112. #541×C₈₉	C₂²	semidirect
113. #541×C₈₉	C₂²	semidirect
114. #541×C₈₉	C₂²	semidirect
115. #541×C₈₉	C₂²	semidirect
116. #541×C₈₉	C₂²	semidirect
119. #539×C₈₉	C₂²	semidirect
120. #539×C₈₉	C₂²	semidirect
121. #539×C₈₉	C₂²	semidirect
122. #539×C₈₉	C₂²	semidirect
123. #539×C₈₉	C₂²	semidirect
126. #536×C₈₉	C₂²	semidirect
127. #536×C₈₉	C₂²	semidirect
136. #533×C₈₉	C₂²	semidirect
137. #533×C₈₉	C₂²	semidirect
138. #533×C₈₉	C₂²	semidirect
139. #533×C₈₉	C₂²	semidirect
140. #533×C₈₉	C₂²	semidirect
141. #533×C₈₉	C₂²	semidirect
142. #533×C₈₉	C₂²	semidirect
143. #533×C₈₉	C₂²	semidirect
144. #533×C₈₉	C₂²	semidirect
147. #532×C₈₉	C₂²	semidirect
148. #532×C₈₉	C₂²	semidirect
149. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
150. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
163. #529×C₈₉	C₂²	semidirect
164. #529×C₈₉	C₂²	semidirect
165. #529×C₈₉	C₂²	semidirect
166. #529×C₈₉	C₂²	semidirect
167. #529×C₈₉	C₂²	semidirect
168. #529×C₈₉	C₂²	semidirect
169. #529×C₈₉	C₂²	semidirect
172. C₂×#125×C₈₉	C₂²	semidirect
173. C₂×#125×C₈₉	C₂²	semidirect
187. #520×C₈₉	C₂²	semidirect
188. #520×C₈₉	C₂²	semidirect
190. #519×C₈₉	C₂²	semidirect
193. C₄×#41×C₈₉	C₂²	semidirect
194. C₄×#41×C₈₉	C₂²	semidirect
196. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
197. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
850. #62831	C₈₉	direct (N × H)
859. #3565	C₂×C₈₉	semidirect
860. #3564	C₂×C₈₉	semidirect
861. #3557	C₂×C₈₉	semidirect
862. #3555	C₂×C₈₉	semidirect
863. #3554	C₂×C₈₉	semidirect
864. #3552	C₂×C₈₉	semidirect
865. #3544	C₂×C₈₉	semidirect
866. #3535	C₂×C₈₉	semidirect
867. #3523	C₂×C₈₉	semidirect
868. #3522	C₂×C₈₉	semidirect
869. #3520	C₂×C₈₉	semidirect
870. #3518	C₂×C₈₉	semidirect
871. #3515	C₂×C₈₉	semidirect
872. #3515	C₂×C₈₉	semidirect
873. #3510	C₂×C₈₉	semidirect
874. #3507	C₂×C₈₉	semidirect
875. #3507	C₂×C₈₉	semidirect
876. #3506	C₂×C₈₉	semidirect
877. #3504	C₂×C₈₉	semidirect
878. #3502	C₂×C₈₉	semidirect
879. #3501	C₂×C₈₉	semidirect
880. #3495	C₂×C₈₉	semidirect
881. #3495	C₂×C₈₉	semidirect
882. #3494	C₂×C₈₉	semidirect
883. #3444	C₂×C₈₉	semidirect
884. C₂×#533	C₂×C₈₉	semidirect
885. C₂×#529	C₂×C₈₉	semidirect
886. C₈₉	#62831	direct (N × H)
887. #563	C₂²×C₈₉	semidirect
888. #563	C₂²×C₈₉	semidirect
889. #563	C₂²×C₈₉	semidirect
890. #562	C₂²×C₈₉	semidirect
891. #559	C₂²×C₈₉	semidirect
892. #559	C₂²×C₈₉	semidirect
893. #559	C₂²×C₈₉	semidirect
894. #559	C₂²×C₈₉	semidirect
895. Q₈²	C₂²×C₈₉	semidirect
896. Q₈²	C₂²×C₈₉	semidirect
897. #557	C₂²×C₈₉	semidirect
898. #557	C₂²×C₈₉	semidirect
899. #557	C₂²×C₈₉	semidirect
900. #557	C₂²×C₈₉	semidirect
901. #557	C₂²×C₈₉	semidirect
902. #557	C₂²×C₈₉	semidirect
903. #557	C₂²×C₈₉	semidirect
904. #556	C₂²×C₈₉	semidirect
905. #556	C₂²×C₈₉	semidirect
906. #556	C₂²×C₈₉	semidirect
907. #556	C₂²×C₈₉	semidirect
908. #556	C₂²×C₈₉	semidirect
909. #556	C₂²×C₈₉	semidirect
910. #556	C₂²×C₈₉	semidirect
911. #556	C₂²×C₈₉	semidirect
912. #556	C₂²×C₈₉	semidirect
914. #555	C₂²×C₈₉	semidirect
917. #554	C₂²×C₈₉	semidirect
918. #554	C₂²×C₈₉	semidirect
919. #554	C₂²×C₈₉	semidirect
920. #554	C₂²×C₈₉	semidirect
921. #554	C₂²×C₈₉	semidirect
922. #554	C₂²×C₈₉	semidirect
923. #554	C₂²×C₈₉	semidirect
924. #554	C₂²×C₈₉	semidirect
927. #553	C₂²×C₈₉	semidirect
929. #552	C₂²×C₈₉	semidirect
930. #552	C₂²×C₈₉	semidirect
931. #552	C₂²×C₈₉	semidirect
932. #552	C₂²×C₈₉	semidirect
933. #552	C₂²×C₈₉	semidirect
934. #552	C₂²×C₈₉	semidirect
935. #552	C₂²×C₈₉	semidirect
936. #552	C₂²×C₈₉	semidirect
937. #552	C₂²×C₈₉	semidirect
938. #552	C₂²×C₈₉	semidirect
943. #550	C₂²×C₈₉	semidirect
944. D₄×Q₈	C₂²×C₈₉	semidirect
945. D₄×Q₈	C₂²×C₈₉	semidirect
946. D₄×Q₈	C₂²×C₈₉	semidirect
947. #548	C₂²×C₈₉	semidirect
948. #548	C₂²×C₈₉	semidirect
950. #547	C₂²×C₈₉	semidirect
951. #547	C₂²×C₈₉	semidirect
952. #547	C₂²×C₈₉	semidirect
953. #547	C₂²×C₈₉	semidirect
958. #544	C₂²×C₈₉	semidirect
959. #544	C₂²×C₈₉	semidirect
960. #544	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. #542	C₂²×C₈₉	semidirect
969. #542	C₂²×C₈₉	semidirect
970. #542	C₂²×C₈₉	semidirect
971. #541	C₂²×C₈₉	semidirect
972. #541	C₂²×C₈₉	semidirect
973. #541	C₂²×C₈₉	semidirect
974. #541	C₂²×C₈₉	semidirect
975. #541	C₂²×C₈₉	semidirect
978. #539	C₂²×C₈₉	semidirect
979. #539	C₂²×C₈₉	semidirect
980. #539	C₂²×C₈₉	semidirect
981. #539	C₂²×C₈₉	semidirect
982. #539	C₂²×C₈₉	semidirect
985. #536	C₂²×C₈₉	semidirect
986. #536	C₂²×C₈₉	semidirect
995. #533	C₂²×C₈₉	semidirect
996. #533	C₂²×C₈₉	semidirect
997. #533	C₂²×C₈₉	semidirect
998. #533	C₂²×C₈₉	semidirect
999. #533	C₂²×C₈₉	semidirect
1000. #533	C₂²×C₈₉	semidirect
1001. #533	C₂²×C₈₉	semidirect
1002. #533	C₂²×C₈₉	semidirect
1003. #533	C₂²×C₈₉	semidirect
1006. #532	C₂²×C₈₉	semidirect
1007. #532	C₂²×C₈₉	semidirect
1008. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1009. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1022. #529	C₂²×C₈₉	semidirect
1023. #529	C₂²×C₈₉	semidirect
1024. #529	C₂²×C₈₉	semidirect
1025. #529	C₂²×C₈₉	semidirect
1026. #529	C₂²×C₈₉	semidirect
1027. #529	C₂²×C₈₉	semidirect
1028. #529	C₂²×C₈₉	semidirect
1031. C₂×#125	C₂²×C₈₉	semidirect
1032. C₂×#125	C₂²×C₈₉	semidirect
1046. #520	C₂²×C₈₉	semidirect
1047. #520	C₂²×C₈₉	semidirect
1049. #519	C₂²×C₈₉	semidirect
1052. C₄×#41	C₂²×C₈₉	semidirect
1053. C₄×#41	C₂²×C₈₉	semidirect
1055. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1056. C₂×C₄×Q₈	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×#3557	2
C₈₉×#3555	2
C₈₉×#3554	2
C₈₉×#3552	2
C₈₉×#3544	2
C₈₉×#3535	2
C₈₉×#3523	2
C₈₉×#3522	2
C₈₉×#3520	2
C₈₉×#3518	2
C₈₉×#3515	2
C₈₉×#3510	2
C₈₉×#3507	2
C₈₉×#3506	2
C₈₉×#3504	2
C₈₉×#3502	2
C₈₉×#3501	2
C₈₉×#3495	2
C₈₉×#3494	2
C₈₉×#3444	2
C₂×#533×C₈₉	2
C₂×#529×C₈₉	2
#62831	89

Subgroups — C89×#62831 #36440679

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62831 #36440679