Subgroups — C₈₉×#62899 #36440747

Order 22784.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1258 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3562	C₂	1	6	yes	maximal, complemented
2	C₈₉×#3546	C₂	1	6	yes	maximal, complemented
3	C₈₉×#3543	C₂	1	6	yes	maximal, complemented
4	C₈₉×#3542	C₂	1	6	yes	maximal, complemented
5	C₈₉×#3539	C₂	1	6	yes	maximal, complemented
6	C₈₉×#3537	C₂	1	3	yes	maximal, complemented
7	C₈₉×#3536	C₂	1	3	yes	maximal, complemented
8	C₈₉×#3524	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3519	C₂	1	6	yes	maximal, complemented
10	C₈₉×#3517	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3516	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3505	C₂	1	3	yes	maximal, complemented
13	C₈₉×#3489	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3488	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3488	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3487	C₂	1	2	yes	maximal, complemented
17	D₄×#41×C₈₉	C₂	1	2	yes	maximal, complemented
18	C₂×#550×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3459	C₂	1	3	yes	maximal, complemented
20	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	1	yes	characteristic, complemented
21	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
24	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
25	#562×C₈₉	C₂²	1	12	yes	complemented
26	#560×C₈₉	C₂²	1	12	yes	complemented
27	#560×C₈₉	C₂²	1	12	yes	complemented
28	#560×C₈₉	C₂²	1	12	yes	complemented
29	#559×C₈₉	C₂²	1	6	yes	complemented
30	#557×C₈₉	C₂²	1	2	yes	complemented
31	#556×C₈₉	C₂²	1	6	yes	complemented
32	#555×C₈₉	C₂²	1	6	yes	complemented
33	#554×C₈₉	C₂²	1	6	yes	complemented
34	#553×C₈₉	C₂²	1	6	yes	complemented
35	#553×C₈₉	C₂²	1	12	yes	complemented
36	#553×C₈₉	C₂²	1	6	yes	complemented
37	#553×C₈₉	C₂²	1	6	yes	complemented
38	#553×C₈₉	C₂²	1	12	yes	complemented
39	#553×C₈₉	C₂²	1	6	yes	complemented
40	#552×C₈₉	C₂²	1	6	yes	complemented
41	#552×C₈₉	C₂²	1	6	yes	complemented
42	#551×C₈₉	C₂²	1	12	yes	complemented
43	#550×C₈₉	C₂²	1	2	yes	complemented
44	#550×C₈₉	C₂²	1	2	yes	complemented
45	#550×C₈₉	C₂²	1	6	yes	complemented
46	#550×C₈₉	C₂²	1	6	yes	complemented
47	#550×C₈₉	C₂²	1	2	yes	complemented
48	#550×C₈₉	C₂²	1	2	yes	complemented
49	#550×C₈₉	C₂²	1	6	yes	complemented
50	#550×C₈₉	C₂²	1	6	yes	complemented
51	#550×C₈₉	C₂²	1	6	yes	complemented
52	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
53	#548×C₈₉	C₂²	1	2	yes	complemented
54	#548×C₈₉	C₂²	1	2	yes	complemented
55	#548×C₈₉	C₂²	1	2	yes	complemented
56	#548×C₈₉	C₂²	1	6	yes	complemented
57	#548×C₈₉	C₂²	1	6	yes	complemented
58	#548×C₈₉	C₂²	1	2	yes	complemented
59	#547×C₈₉	C₂²	1	6	yes	complemented
60	#547×C₈₉	C₂²	1	6	yes	complemented
61	#547×C₈₉	C₂²	1	6	yes	complemented
62	#546×C₈₉	C₂²	1	6	yes	complemented
63	#546×C₈₉	C₂²	1	6	yes	complemented
64	#546×C₈₉	C₂²	1	6	yes	complemented
65	#546×C₈₉	C₂²	1	6	yes	complemented
66	#546×C₈₉	C₂²	1	6	yes	complemented
67	#546×C₈₉	C₂²	1	6	yes	complemented
68	#546×C₈₉	C₂²	1	12	yes	complemented
69	#546×C₈₉	C₂²	1	12	yes	complemented
70	D₄²×C₈₉	C₂²	1	6	yes	complemented
71	D₄²×C₈₉	C₂²	1	6	yes	complemented
72	D₄²×C₈₉	C₂²	1	6	yes	complemented
73	D₄²×C₈₉	C₂²	1	6	yes	complemented
74	D₄²×C₈₉	C₂²	1	12	yes	complemented
75	#543×C₈₉	C₂²	1	3	yes	complemented
76	#542×C₈₉	C₂²	1	6	yes	complemented
77	#542×C₈₉	C₂²	1	6	yes	complemented
78	#541×C₈₉	C₂²	1	6	yes	complemented
79	#540×C₈₉	C₂²	1	6	yes	complemented
80	#540×C₈₉	C₂²	1	6	yes	complemented
81	#540×C₈₉	C₂²	1	12	yes	complemented
82	#540×C₈₉	C₂²	1	6	yes	complemented
83	#540×C₈₉	C₂²	1	12	yes	complemented
84	#539×C₈₉	C₂²	1	1	yes	characteristic, complemented
85	#539×C₈₉	C₂²	1	3	yes	complemented
86	#539×C₈₉	C₂²	1	6	yes	complemented
87	#539×C₈₉	C₂²	1	6	yes	complemented
88	#539×C₈₉	C₂²	1	6	yes	complemented
89	#538×C₈₉	C₂²	1	6	yes	complemented
90	#538×C₈₉	C₂²	1	6	yes	complemented
91	#538×C₈₉	C₂²	1	6	yes	complemented
92	#538×C₈₉	C₂²	1	6	yes	complemented
93	#538×C₈₉	C₂²	1	12	yes	complemented
94	#538×C₈₉	C₂²	1	6	yes	complemented
95	#537×C₈₉	C₂²	1	6	yes	complemented
96	#537×C₈₉	C₂²	1	3	yes	complemented
97	#537×C₈₉	C₂²	1	3	yes	complemented
98	#537×C₈₉	C₂²	1	6	yes	complemented
99	#536×C₈₉	C₂²	1	3	yes	complemented
100	#535×C₈₉	C₂²	1	6	yes	complemented
101	#535×C₈₉	C₂²	1	6	yes	complemented
102	#535×C₈₉	C₂²	1	6	yes	complemented
103	#535×C₈₉	C₂²	1	3	yes	complemented
104	#535×C₈₉	C₂²	1	12	yes	complemented
105	#534×C₈₉	C₂²	1	3	yes	complemented
106	#534×C₈₉	C₂²	1	6	yes	complemented
107	#534×C₈₉	C₂²	1	6	yes	complemented
108	#534×C₈₉	C₂²	1	6	yes	complemented
109	#532×C₈₉	C₂²	1	6	yes	complemented
110	#532×C₈₉	C₂²	1	6	yes	complemented
111	C₂×#127×C₈₉	C₂²	1	3	yes	complemented
112	#529×C₈₉	C₂²	1	6	yes	complemented
113	#529×C₈₉	C₂²	1	6	yes	complemented
114	#529×C₈₉	C₂²	1	6	yes	complemented
115	#529×C₈₉	C₂²	1	6	yes	complemented
116	#529×C₈₉	C₂²	1	6	yes	complemented
117	#525×C₈₉	C₂²	1	6	yes	complemented
118	#525×C₈₉	C₂²	1	3	yes	complemented
119	#525×C₈₉	C₂²	1	6	yes	complemented
120	#525×C₈₉	C₂²	1	3	yes	complemented
121	#525×C₈₉	C₂²	1	6	yes	complemented
122	#525×C₈₉	C₂²	1	6	yes	complemented
123	#525×C₈₉	C₂²	1	6	yes	complemented
124	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	3	yes	complemented
125	C₂×#121×C₈₉	C₂²	1	3	yes	complemented
126	C₂×#121×C₈₉	C₂²	1	3	yes	complemented
127	C₂×#121×C₈₉	C₂²	1	3	yes	complemented
128	C₂×#121×C₈₉	C₂²	1	6	yes	complemented
129	#520×C₈₉	C₂²	1	2	yes	complemented
130	#520×C₈₉	C₂²	1	1	yes	characteristic, complemented
131	#520×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#519×C₈₉	C₂²	1	2	yes	complemented
133	#518×C₈₉	C₂²	1	6	yes	complemented
134	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
135	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₄×C₈₉	C₂²	1	3	yes	complemented
137	C₂×C₄×D₄×C₈₉	C₂²	1	6	yes	complemented
138	2₋¹⁺⁴×C₈₉	—	4	4	no	—
139	H(5,𝔽₂)×C₈₉	—	4	4	no	—
140	C₂×#41×C₈₉	—	4	4	no	—
141	C₂×#41×C₈₉	—	4	4	no	—
142	C₂×#41×C₈₉	—	4	8	no	—
143	C₂×#41×C₈₉	C₂³	1	2	yes	—
144	C₂×#41×C₈₉	C₂³	1	2	yes	—
145	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
146	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
147	C₂×#41×C₈₉	C₂³	1	3	yes	—
148	C₂×#41×C₈₉	C₂³	1	3	yes	—
149	C₂×#41×C₈₉	C₂³	1	6	yes	—
150	C₂×#41×C₈₉	C₂³	1	6	yes	—
151	C₂×#41×C₈₉	C₂³	1	6	yes	—
152	C₂×#41×C₈₉	C₂³	1	6	yes	—
153	C₂×#41×C₈₉	C₂³	1	3	yes	—
154	C₂×#41×C₈₉	C₂³	1	3	yes	—
155	C₂×#41×C₈₉	C₂³	1	12	yes	—
156	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
157	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
158	C₂²×Q₈×C₈₉	C₂³	1	3	yes	—
159	C₂²×D₄×C₈₉	C₂³	1	3	yes	—
160	C₂²×D₄×C₈₉	C₂³	1	6	yes	—
161	C₂²×D₄×C₈₉	C₂³	1	6	yes	—
162	C₂²×D₄×C₈₉	C₂³	1	3	yes	—
163	C₂²×D₄×C₈₉	C₂³	1	3	yes	—
164	C₂²×D₄×C₈₉	C₂³	1	3	yes	—
165	C₂²×D₄×C₈₉	C₂³	1	6	yes	—
166	C₂²×D₄×C₈₉	C₂³	1	6	yes	—
167	C₂²×D₄×C₈₉	C₂³	1	6	yes	—
168	C₂²×D₄×C₈₉	C₂³	1	12	yes	—
169	C₂³×C₄×C₈₉	C₂³	1	3	yes	—
170	C₂³×C₄×C₈₉	C₂³	1	3	yes	—
171	C₂³×C₄×C₈₉	C₂³	1	6	yes	—
172	C₄⋊Q₈×C₈₉	C₂³	1	6	yes	—
173	C₄⋊Q₈×C₈₉	C₂³	1	6	yes	—
174	#127×C₈₉	C₂³	1	6	yes	—
175	#127×C₈₉	C₂³	1	6	yes	—
176	#127×C₈₉	C₂³	1	12	yes	—
177	#127×C₈₉	C₂³	1	6	yes	—
178	#127×C₈₉	C₂³	1	6	yes	—
179	#127×C₈₉	C₂³	1	12	yes	—
180	#126×C₈₉	C₂³	1	6	yes	—
181	#126×C₈₉	C₂³	1	2	yes	—
182	#126×C₈₉	C₂³	1	6	yes	—
183	#126×C₈₉	C₂³	1	6	yes	—
184	#126×C₈₉	C₂³	1	6	yes	—
185	#126×C₈₉	C₂³	1	6	yes	—
186	#126×C₈₉	C₂³	1	12	yes	—
187	#126×C₈₉	C₂³	1	12	yes	—
188	#126×C₈₉	C₂³	1	12	yes	—
189	#125×C₈₉	C₂³	1	2	yes	—
190	#125×C₈₉	C₂³	1	6	yes	—
191	#125×C₈₉	C₂³	1	6	yes	—
192	#125×C₈₉	C₂³	1	6	yes	—
193	#125×C₈₉	C₂³	1	6	yes	—
194	#125×C₈₉	C₂³	1	12	yes	—
195	#124×C₈₉	C₂³	1	6	yes	—
196	#124×C₈₉	C₂³	1	6	yes	—
197	#124×C₈₉	C₂³	1	6	yes	—
198	#124×C₈₉	C₂³	1	6	yes	—
199	#124×C₈₉	C₂³	1	6	yes	—
200	#124×C₈₉	C₂³	1	6	yes	—
201	#124×C₈₉	C₂³	1	6	yes	—
202	#124×C₈₉	C₂³	1	12	yes	—
203	#124×C₈₉	C₂³	1	12	yes	—
204	#123×C₈₉	C₂³	1	2	yes	—
205	#123×C₈₉	C₂³	1	6	yes	—
206	#123×C₈₉	C₂³	1	6	yes	—
207	#123×C₈₉	C₂³	1	6	yes	—
208	#123×C₈₉	C₂³	1	6	yes	—
209	#123×C₈₉	C₂³	1	6	yes	—
210	#123×C₈₉	C₂³	1	12	yes	—
211	#123×C₈₉	C₂³	1	12	yes	—
212	#123×C₈₉	C₂³	1	2	yes	—
213	#123×C₈₉	C₂³	1	6	yes	—
214	#123×C₈₉	C₂³	1	6	yes	—
215	#123×C₈₉	C₂³	1	6	yes	—
216	#123×C₈₉	C₂³	1	6	yes	—
217	#123×C₈₉	C₂³	1	6	yes	—
218	#123×C₈₉	C₂³	1	12	yes	—
219	#123×C₈₉	C₂³	1	12	yes	—
220	#123×C₈₉	C₂³	1	12	yes	—
221	#123×C₈₉	C₂³	1	12	yes	—
222	#123×C₈₉	C₂³	1	12	yes	—
223	#123×C₈₉	C₂³	1	12	yes	—
224	C₂²⋊Q₈×C₈₉	C₂³	1	3	yes	—
225	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
226	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
227	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
228	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
229	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
230	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
231	C₂²⋊Q₈×C₈₉	C₂³	1	3	yes	—
232	C₂²⋊Q₈×C₈₉	C₂³	1	3	yes	—
233	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
234	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
235	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
236	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
237	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
238	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
239	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
240	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
241	C₂²⋊Q₈×C₈₉	C₂³	1	6	yes	—
242	C₂²⋊Q₈×C₈₉	C₂³	1	12	yes	—
243	#121×C₈₉	C₂³	1	3	yes	—
244	#121×C₈₉	C₂³	1	6	yes	—
245	#121×C₈₉	C₂³	1	6	yes	—
246	#121×C₈₉	C₂³	1	6	yes	—
247	#121×C₈₉	C₂³	1	6	yes	—
248	#121×C₈₉	C₂³	1	6	yes	—
249	#121×C₈₉	C₂³	1	6	yes	—
250	#121×C₈₉	C₂³	1	12	yes	—
251	#121×C₈₉	C₂³	1	6	yes	—
252	#121×C₈₉	C₂³	1	6	yes	—
253	#121×C₈₉	C₂³	1	6	yes	—
254	#121×C₈₉	C₂³	1	6	yes	—
255	#121×C₈₉	C₂³	1	6	yes	—
256	#121×C₈₉	C₂³	1	6	yes	—
257	#121×C₈₉	C₂³	1	6	yes	—
258	#121×C₈₉	C₂³	1	12	yes	—
259	#121×C₈₉	C₂³	1	1	yes	characteristic
260	#121×C₈₉	C₂³	1	3	yes	—
261	#121×C₈₉	C₂³	1	6	yes	—
262	#121×C₈₉	C₂³	1	6	yes	—
263	#121×C₈₉	C₂³	1	3	yes	—
264	#121×C₈₉	C₂³	1	6	yes	—
265	#121×C₈₉	C₂³	1	6	yes	—
266	#121×C₈₉	C₂³	1	6	yes	—
267	#121×C₈₉	C₂³	1	6	yes	—
268	#121×C₈₉	C₂³	1	6	yes	—
269	#121×C₈₉	C₂³	1	6	yes	—
270	#121×C₈₉	C₂³	1	6	yes	—
271	#121×C₈₉	C₂³	1	12	yes	—
272	#121×C₈₉	C₂³	1	12	yes	—
273	#121×C₈₉	C₂³	1	12	yes	—
274	#121×C₈₉	C₂³	1	12	yes	—
275	#121×C₈₉	C₂³	1	12	yes	—
276	#121×C₈₉	C₂³	1	12	yes	—
277	#121×C₈₉	C₂³	1	12	yes	—
278	#121×C₈₉	C₂³	1	12	yes	—
279	#121×C₈₉	C₂³	1	12	yes	—
280	#121×C₈₉	C₂³	1	12	yes	—
281	#121×C₈₉	C₂³	1	12	yes	—
282	#121×C₈₉	C₂³	1	12	yes	—
283	#120×C₈₉	C₂³	1	6	yes	—
284	#120×C₈₉	C₂³	1	6	yes	—
285	#120×C₈₉	C₂³	1	12	yes	—
286	#120×C₈₉	C₂³	1	6	yes	—
287	#120×C₈₉	C₂³	1	12	yes	—
288	#120×C₈₉	C₂³	1	6	yes	—
289	#120×C₈₉	C₂³	1	6	yes	—
290	#120×C₈₉	C₂³	1	6	yes	—
291	#120×C₈₉	C₂³	1	12	yes	—
292	#120×C₈₉	C₂³	1	12	yes	—
293	#120×C₈₉	C₂³	1	12	yes	—
294	#120×C₈₉	C₂³	1	12	yes	—
295	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
296	C₄×Q₈×C₈₉	C₂³	1	6	yes	—
297	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
298	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
299	C₄×Q₈×C₈₉	C₂³	1	6	yes	—
300	C₄×Q₈×C₈₉	C₂³	1	6	yes	—
301	C₄×Q₈×C₈₉	C₂³	1	6	yes	—
302	C₄×D₄×C₈₉	C₂³	1	2	yes	—
303	C₄×D₄×C₈₉	C₂³	1	6	yes	—
304	C₄×D₄×C₈₉	C₂³	1	6	yes	—
305	C₄×D₄×C₈₉	C₂³	1	6	yes	—
306	C₄×D₄×C₈₉	C₂³	1	6	yes	—
307	C₄×D₄×C₈₉	C₂³	1	6	yes	—
308	C₄×D₄×C₈₉	C₂³	1	6	yes	—
309	C₄×D₄×C₈₉	C₂³	1	6	yes	—
310	C₄×D₄×C₈₉	C₂³	1	6	yes	—
311	C₄×D₄×C₈₉	C₂³	1	6	yes	—
312	C₄×D₄×C₈₉	C₂³	1	6	yes	—
313	C₄×D₄×C₈₉	C₂³	1	6	yes	—
314	C₄×D₄×C₈₉	C₂³	1	6	yes	—
315	C₄×D₄×C₈₉	C₂³	1	6	yes	—
316	C₄×D₄×C₈₉	C₂³	1	12	yes	—
317	C₄×D₄×C₈₉	C₂³	1	12	yes	—
318	C₄×D₄×C₈₉	C₂³	1	12	yes	—
319	C₄×D₄×C₈₉	C₂³	1	6	yes	—
320	C₄×D₄×C₈₉	C₂³	1	6	yes	—
321	C₄×D₄×C₈₉	C₂³	1	6	yes	—
322	C₄×D₄×C₈₉	C₂³	1	6	yes	—
323	C₄×D₄×C₈₉	C₂³	1	6	yes	—
324	C₄×D₄×C₈₉	C₂³	1	6	yes	—
325	C₄×D₄×C₈₉	C₂³	1	6	yes	—
326	C₄×D₄×C₈₉	C₂³	1	12	yes	—
327	C₄×D₄×C₈₉	C₂³	1	12	yes	—
328	C₄×D₄×C₈₉	C₂³	1	12	yes	—
329	#117×C₈₉	C₂³	1	6	yes	—
330	#117×C₈₉	C₂³	1	12	yes	—
331	#117×C₈₉	C₂³	1	6	yes	—
332	#117×C₈₉	C₂³	1	6	yes	—
333	#117×C₈₉	C₂³	1	6	yes	—
334	#117×C₈₉	C₂³	1	3	yes	—
335	#117×C₈₉	C₂³	1	3	yes	—
336	#117×C₈₉	C₂³	1	12	yes	—
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	6	yes	—
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	3	yes	—
340	C₂×C₄⋊C₄×C₈₉	C₂³	1	6	yes	—
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	3	yes	—
342	C₂×C₄⋊C₄×C₈₉	C₂³	1	3	yes	—
343	C₂×C₄⋊C₄×C₈₉	C₂³	1	6	yes	—
344	C₂×C₂²⋊C₄×C₈₉	C₂³	1	3	yes	—
345	C₂×C₂²⋊C₄×C₈₉	C₂³	1	3	yes	—
346	C₂×C₂²⋊C₄×C₈₉	C₂³	1	6	yes	—
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	6	yes	—
348	C₂×C₂²⋊C₄×C₈₉	C₂³	1	12	yes	—
349	C₂×C₂²⋊C₄×C₈₉	C₂³	1	6	yes	—
350	C₂×C₂²⋊C₄×C₈₉	C₂³	1	6	yes	—
351	C₂×C₄²×C₈₉	C₂³	1	3	yes	—
352	C₂×C₄²×C₈₉	C₂³	1	6	yes	—
353	C₂⁴×C₈₉	C₂⁴	1	3	yes	—
354	C₂⁴×C₈₉	C₂⁴	1	3	yes	—
355	C₂⁴×C₈₉	C₂⁴	1	6	yes	—
356	C₂⁴×C₈₉	C₂⁴	1	6	yes	—
357	#41×C₈₉	—	2	8	no	—
358	#41×C₈₉	—	2	4	no	—
359	#41×C₈₉	—	2	8	no	—
360	#41×C₈₉	—	2	4	no	—
361	#41×C₈₉	—	4	6	no	—
362	#41×C₈₉	—	4	6	no	—
363	#41×C₈₉	—	4	12	no	—
364	#41×C₈₉	—	4	12	no	—
365	#41×C₈₉	—	4	12	no	—
366	#41×C₈₉	—	4	6	no	—
367	#41×C₈₉	—	4	6	no	—
368	#41×C₈₉	—	4	12	no	—
369	#41×C₈₉	—	8	12	no	—
370	C₂×Q₈×C₈₉	—	2	4	no	—
371	C₂×Q₈×C₈₉	—	2	8	no	—
372	C₂×Q₈×C₈₉	—	4	6	no	—
373	C₂×Q₈×C₈₉	C₂⁴	1	6	yes	—
374	C₂×Q₈×C₈₉	C₂⁴	1	3	yes	—
375	C₂×Q₈×C₈₉	C₂⁴	1	6	yes	—
376	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
377	C₂×Q₈×C₈₉	C₂⁴	1	3	yes	—
378	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
379	C₂×D₄×C₈₉	—	4	6	no	—
380	C₂×D₄×C₈₉	—	4	6	no	—
381	C₂×D₄×C₈₉	—	4	12	no	—
382	C₂×D₄×C₈₉	—	4	6	no	—
383	C₂×D₄×C₈₉	—	4	12	no	—
384	C₂×D₄×C₈₉	—	4	6	no	—
385	C₂×D₄×C₈₉	—	4	12	no	—
386	C₂×D₄×C₈₉	—	4	12	no	—
387	C₂×D₄×C₈₉	—	8	6	no	—
388	C₂×D₄×C₈₉	—	8	12	no	—
389	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
390	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
391	C₂×D₄×C₈₉	C₂⁴	1	3	yes	—
392	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
393	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
394	C₂×D₄×C₈₉	C₂⁴	1	3	yes	—
395	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
396	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
397	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
398	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
399	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
400	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
401	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
402	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
403	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
404	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
405	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
406	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
407	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
408	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
409	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
410	C₂×D₄×C₈₉	C₂⁴	1	3	yes	—
411	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
412	C₂×D₄×C₈₉	C₂⁴	1	6	yes	—
413	C₂²×C₄×C₈₉	—	4	6	no	—
414	C₂²×C₄×C₈₉	—	4	6	no	—
415	C₂²×C₄×C₈₉	—	4	12	no	—
416	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
418	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
419	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
420	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
421	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
422	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
423	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
424	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
425	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
426	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
429	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
430	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
431	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
432	C₂²×C₄×C₈₉	C₂⁴	1	12	yes	—
433	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
434	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
435	C₂²×C₄×C₈₉	C₂⁴	1	6	yes	—
436	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
437	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
438	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
439	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
440	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
441	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
442	C₄⋊C₄×C₈₉	C₂⁴	1	3	yes	—
443	C₄⋊C₄×C₈₉	C₂⁴	1	3	yes	—
444	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
445	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
446	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
447	C₄⋊C₄×C₈₉	C₂⁴	1	12	yes	—
448	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
449	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
450	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
451	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
452	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
453	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
454	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
455	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
456	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
457	C₄⋊C₄×C₈₉	C₂⁴	1	12	yes	—
458	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
459	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
460	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
461	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
462	C₄⋊C₄×C₈₉	C₂⁴	1	6	yes	—
463	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
464	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
465	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
466	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
467	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
468	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
469	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
470	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
471	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
472	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
473	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
474	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
475	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
476	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
477	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
478	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
479	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
480	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
481	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
482	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
483	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
484	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
485	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
486	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
487	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
488	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
489	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
490	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
491	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
492	C₂²⋊C₄×C₈₉	C₂⁴	1	6	yes	—
493	C₄²×C₈₉	C₂⁴	1	2	yes	—
494	C₄²×C₈₉	C₂⁴	1	6	yes	—
495	C₄²×C₈₉	C₂⁴	1	6	yes	—
496	C₄²×C₈₉	C₂⁴	1	6	yes	—
497	C₄²×C₈₉	C₂⁴	1	6	yes	—
498	C₄²×C₈₉	C₂⁴	1	6	yes	—
499	C₄²×C₈₉	C₂⁴	1	12	yes	—
500	C₂³×C₈₉	—	2	6	no	—
501	C₂³×C₈₉	—	2	6	no	—
502	C₂³×C₈₉	—	4	3	no	—
503	C₂³×C₈₉	—	4	3	no	—
504	C₂³×C₈₉	—	4	6	no	—
505	C₂³×C₈₉	—	4	6	no	—
506	C₂³×C₈₉	—	4	3	no	—
507	C₂³×C₈₉	—	4	3	no	—
508	C₂³×C₈₉	—	4	6	no	—
509	C₂³×C₈₉	—	4	6	no	—
510	C₂³×C₈₉	—	4	6	no	—
511	C₂³×C₈₉	—	4	6	no	—
512	C₂³×C₈₉	C₂⁵	1	2	yes	—
513	C₂³×C₈₉	C₂⁵	1	3	yes	—
514	C₂³×C₈₉	C₂⁵	1	6	yes	—
515	C₂³×C₈₉	C₂⁵	1	6	yes	—
516	C₂³×C₈₉	C₂⁵	1	3	yes	—
517	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
518	Q₈×C₈₉	—	2	12	no	—
519	Q₈×C₈₉	—	2	6	no	—
520	Q₈×C₈₉	—	4	3	no	—
521	Q₈×C₈₉	—	4	1	no	—
522	Q₈×C₈₉	—	4	6	no	—
523	Q₈×C₈₉	H(5,𝔽₂)	1	4	yes	—
524	D₄×C₈₉	—	2	4	no	—
525	D₄×C₈₉	—	2	12	no	—
526	D₄×C₈₉	—	2	6	no	—
527	D₄×C₈₉	—	2	12	no	—
528	D₄×C₈₉	—	2	12	no	—
529	D₄×C₈₉	—	2	6	no	—
530	D₄×C₈₉	—	4	6	no	—
531	D₄×C₈₉	—	4	3	no	—
532	D₄×C₈₉	—	4	6	no	—
533	D₄×C₈₉	—	4	6	no	—
534	D₄×C₈₉	—	4	6	no	—
535	D₄×C₈₉	—	4	6	no	—
536	D₄×C₈₉	—	4	12	no	—
537	D₄×C₈₉	—	4	6	no	—
538	D₄×C₈₉	—	4	6	no	—
539	D₄×C₈₉	—	4	12	no	—
540	D₄×C₈₉	—	4	6	no	—
541	D₄×C₈₉	—	4	6	no	—
542	D₄×C₈₉	—	4	12	no	—
543	D₄×C₈₉	—	4	12	no	—
544	D₄×C₈₉	—	4	12	no	—
545	D₄×C₈₉	—	4	1	no	—
546	D₄×C₈₉	—	4	6	no	—
547	D₄×C₈₉	—	4	6	no	—
548	C₂×C₄×C₈₉	—	2	2	no	—
549	C₂×C₄×C₈₉	—	2	6	no	—
550	C₂×C₄×C₈₉	—	2	12	no	—
551	C₂×C₄×C₈₉	—	2	12	no	—
552	C₂×C₄×C₈₉	—	2	6	no	—
553	C₂×C₄×C₈₉	—	2	12	no	—
554	C₂×C₄×C₈₉	—	2	6	no	—
555	C₂×C₄×C₈₉	—	4	1	no	—
556	C₂×C₄×C₈₉	—	4	2	no	—
557	C₂×C₄×C₈₉	—	4	1	no	—
558	C₂×C₄×C₈₉	—	4	6	no	—
559	C₂×C₄×C₈₉	—	4	6	no	—
560	C₂×C₄×C₈₉	—	4	3	no	—
561	C₂×C₄×C₈₉	—	4	6	no	—
562	C₂×C₄×C₈₉	—	4	3	no	—
563	C₂×C₄×C₈₉	—	4	6	no	—
564	C₂×C₄×C₈₉	—	4	6	no	—
565	C₂×C₄×C₈₉	—	4	3	no	—
566	C₂×C₄×C₈₉	—	4	12	no	—
567	C₂×C₄×C₈₉	—	4	6	no	—
568	C₂×C₄×C₈₉	—	4	6	no	—
569	C₂×C₄×C₈₉	—	4	6	no	—
570	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
571	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
572	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
573	C₂×C₄×C₈₉	C₂⁵	1	6	yes	—
574	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
575	C₂×C₄×C₈₉	C₂⁵	1	6	yes	—
576	C₂×C₄×C₈₉	C₂⁵	1	6	yes	—
577	C₂×C₄×C₈₉	C₂⁵	1	6	yes	—
578	C₂×C₄×C₈₉	C₂⁵	1	3	yes	—
579	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
580	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
581	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
582	C₂×C₄×C₈₉	C₂⁵	1	3	yes	—
583	C₂²×C₈₉	—	2	1	no	—
584	C₂²×C₈₉	—	2	1	no	—
585	C₂²×C₈₉	—	2	2	no	—
586	C₂²×C₈₉	—	2	3	no	—
587	C₂²×C₈₉	—	2	6	no	—
588	C₂²×C₈₉	—	2	3	no	—
589	C₂²×C₈₉	—	2	6	no	—
590	C₂²×C₈₉	—	2	3	no	—
591	C₂²×C₈₉	—	2	6	no	—
592	C₂²×C₈₉	—	2	2	no	—
593	C₂²×C₈₉	—	2	6	no	—
594	C₂²×C₈₉	—	2	3	no	—
595	C₂²×C₈₉	—	2	3	no	—
596	C₂²×C₈₉	—	2	6	no	—
597	C₂²×C₈₉	—	2	6	no	—
598	C₂²×C₈₉	—	2	2	no	—
599	C₂²×C₈₉	—	2	3	no	—
600	C₂²×C₈₉	—	8	6	no	—
601	C₂²×C₈₉	—	8	6	no	—
602	C₂²×C₈₉	—	8	12	no	—
603	C₂²×C₈₉	—	16	6	no	—
604	C₂²×C₈₉	#585	1	2	yes	—
605	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
606	C₄×C₈₉	—	2	2	no	—
607	C₄×C₈₉	—	2	2	no	—
608	C₄×C₈₉	—	2	1	no	—
609	C₄×C₈₉	—	2	1	no	—
610	C₄×C₈₉	—	2	3	no	—
611	C₄×C₈₉	—	2	6	no	—
612	C₄×C₈₉	—	2	2	no	—
613	C₄×C₈₉	—	2	6	no	—
614	C₄×C₈₉	—	2	2	no	—
615	C₄×C₈₉	—	2	6	no	—
616	C₄×C₈₉	—	2	6	no	—
617	C₄×C₈₉	—	2	2	no	—
618	C₄×C₈₉	C₂×H(5,𝔽₂)	1	6	yes	—
619	#62899	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
620	C₂×C₈₉	—	2	2	no	—
621	C₂×C₈₉	—	4	3	no	—
622	C₂×C₈₉	—	4	6	no	—
623	C₂×C₈₉	—	4	2	no	—
624	C₂×C₈₉	—	4	3	no	—
625	C₂×C₈₉	—	4	6	no	—
626	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
627	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
628	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
629	#3562	C₂×C₈₉	1	6	yes	complemented
630	#3546	C₂×C₈₉	1	6	yes	complemented
631	#3543	C₂×C₈₉	1	6	yes	complemented
632	#3542	C₂×C₈₉	1	6	yes	complemented
633	#3539	C₂×C₈₉	1	6	yes	complemented
634	#3537	C₂×C₈₉	1	3	yes	complemented
635	#3536	C₂×C₈₉	1	3	yes	complemented
636	#3524	C₂×C₈₉	1	2	yes	complemented
637	#3519	C₂×C₈₉	1	6	yes	complemented
638	#3517	C₂×C₈₉	1	2	yes	complemented
639	#3516	C₂×C₈₉	1	2	yes	complemented
640	#3505	C₂×C₈₉	1	3	yes	complemented
641	#3489	C₂×C₈₉	1	1	yes	characteristic, complemented
642	#3488	C₂×C₈₉	1	2	yes	complemented
643	#3488	C₂×C₈₉	1	1	yes	characteristic, complemented
644	#3487	C₂×C₈₉	1	2	yes	complemented
645	D₄×#41	C₂×C₈₉	1	2	yes	complemented
646	C₂×#550	C₂×C₈₉	1	1	yes	characteristic, complemented
647	#3459	C₂×C₈₉	1	3	yes	complemented
648	C₈₉	#62899	1	1	yes	characteristic, direct product factor, Sylow
649	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	1	yes	characteristic, complemented
650	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	1	yes	characteristic, complemented
651	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
652	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
653	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
654	#562	C₂²×C₈₉	1	12	yes	complemented
655	#560	C₂²×C₈₉	1	12	yes	complemented
656	#560	C₂²×C₈₉	1	12	yes	complemented
657	#560	C₂²×C₈₉	1	12	yes	complemented
658	#559	C₂²×C₈₉	1	6	yes	complemented
659	#557	C₂²×C₈₉	1	2	yes	complemented
660	#556	C₂²×C₈₉	1	6	yes	complemented
661	#555	C₂²×C₈₉	1	6	yes	complemented
662	#554	C₂²×C₈₉	1	6	yes	complemented
663	#553	C₂²×C₈₉	1	6	yes	complemented
664	#553	C₂²×C₈₉	1	12	yes	complemented
665	#553	C₂²×C₈₉	1	6	yes	complemented
666	#553	C₂²×C₈₉	1	6	yes	complemented
667	#553	C₂²×C₈₉	1	12	yes	complemented
668	#553	C₂²×C₈₉	1	6	yes	complemented
669	#552	C₂²×C₈₉	1	6	yes	complemented
670	#552	C₂²×C₈₉	1	6	yes	complemented
671	#551	C₂²×C₈₉	1	12	yes	complemented
672	#550	C₂²×C₈₉	1	2	yes	complemented
673	#550	C₂²×C₈₉	1	2	yes	complemented
674	#550	C₂²×C₈₉	1	6	yes	complemented
675	#550	C₂²×C₈₉	1	6	yes	complemented
676	#550	C₂²×C₈₉	1	2	yes	complemented
677	#550	C₂²×C₈₉	1	2	yes	complemented
678	#550	C₂²×C₈₉	1	6	yes	complemented
679	#550	C₂²×C₈₉	1	6	yes	complemented
680	#550	C₂²×C₈₉	1	6	yes	complemented
681	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
682	#548	C₂²×C₈₉	1	2	yes	complemented
683	#548	C₂²×C₈₉	1	2	yes	complemented
684	#548	C₂²×C₈₉	1	2	yes	complemented
685	#548	C₂²×C₈₉	1	6	yes	complemented
686	#548	C₂²×C₈₉	1	6	yes	complemented
687	#548	C₂²×C₈₉	1	2	yes	complemented
688	#547	C₂²×C₈₉	1	6	yes	complemented
689	#547	C₂²×C₈₉	1	6	yes	complemented
690	#547	C₂²×C₈₉	1	6	yes	complemented
691	#546	C₂²×C₈₉	1	6	yes	complemented
692	#546	C₂²×C₈₉	1	6	yes	complemented
693	#546	C₂²×C₈₉	1	6	yes	complemented
694	#546	C₂²×C₈₉	1	6	yes	complemented
695	#546	C₂²×C₈₉	1	6	yes	complemented
696	#546	C₂²×C₈₉	1	6	yes	complemented
697	#546	C₂²×C₈₉	1	12	yes	complemented
698	#546	C₂²×C₈₉	1	12	yes	complemented
699	D₄²	C₂²×C₈₉	1	6	yes	complemented
700	D₄²	C₂²×C₈₉	1	6	yes	complemented
701	D₄²	C₂²×C₈₉	1	6	yes	complemented
702	D₄²	C₂²×C₈₉	1	6	yes	complemented
703	D₄²	C₂²×C₈₉	1	12	yes	complemented
704	#543	C₂²×C₈₉	1	3	yes	complemented
705	#542	C₂²×C₈₉	1	6	yes	complemented
706	#542	C₂²×C₈₉	1	6	yes	complemented
707	#541	C₂²×C₈₉	1	6	yes	complemented
708	#540	C₂²×C₈₉	1	6	yes	complemented
709	#540	C₂²×C₈₉	1	6	yes	complemented
710	#540	C₂²×C₈₉	1	12	yes	complemented
711	#540	C₂²×C₈₉	1	6	yes	complemented
712	#540	C₂²×C₈₉	1	12	yes	complemented
713	#539	C₂²×C₈₉	1	1	yes	characteristic, complemented
714	#539	C₂²×C₈₉	1	3	yes	complemented
715	#539	C₂²×C₈₉	1	6	yes	complemented
716	#539	C₂²×C₈₉	1	6	yes	complemented
717	#539	C₂²×C₈₉	1	6	yes	complemented
718	#538	C₂²×C₈₉	1	6	yes	complemented
719	#538	C₂²×C₈₉	1	6	yes	complemented
720	#538	C₂²×C₈₉	1	6	yes	complemented
721	#538	C₂²×C₈₉	1	6	yes	complemented
722	#538	C₂²×C₈₉	1	12	yes	complemented
723	#538	C₂²×C₈₉	1	6	yes	complemented
724	#537	C₂²×C₈₉	1	6	yes	complemented
725	#537	C₂²×C₈₉	1	3	yes	complemented
726	#537	C₂²×C₈₉	1	3	yes	complemented
727	#537	C₂²×C₈₉	1	6	yes	complemented
728	#536	C₂²×C₈₉	1	3	yes	complemented
729	#535	C₂²×C₈₉	1	6	yes	complemented
730	#535	C₂²×C₈₉	1	6	yes	complemented
731	#535	C₂²×C₈₉	1	6	yes	complemented
732	#535	C₂²×C₈₉	1	3	yes	complemented
733	#535	C₂²×C₈₉	1	12	yes	complemented
734	#534	C₂²×C₈₉	1	3	yes	complemented
735	#534	C₂²×C₈₉	1	6	yes	complemented
736	#534	C₂²×C₈₉	1	6	yes	complemented
737	#534	C₂²×C₈₉	1	6	yes	complemented
738	#532	C₂²×C₈₉	1	6	yes	complemented
739	#532	C₂²×C₈₉	1	6	yes	complemented
740	C₂×#127	C₂²×C₈₉	1	3	yes	complemented
741	#529	C₂²×C₈₉	1	6	yes	complemented
742	#529	C₂²×C₈₉	1	6	yes	complemented
743	#529	C₂²×C₈₉	1	6	yes	complemented
744	#529	C₂²×C₈₉	1	6	yes	complemented
745	#529	C₂²×C₈₉	1	6	yes	complemented
746	#525	C₂²×C₈₉	1	6	yes	complemented
747	#525	C₂²×C₈₉	1	3	yes	complemented
748	#525	C₂²×C₈₉	1	6	yes	complemented
749	#525	C₂²×C₈₉	1	3	yes	complemented
750	#525	C₂²×C₈₉	1	6	yes	complemented
751	#525	C₂²×C₈₉	1	6	yes	complemented
752	#525	C₂²×C₈₉	1	6	yes	complemented
753	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	3	yes	complemented
754	C₂×#121	C₂²×C₈₉	1	3	yes	complemented
755	C₂×#121	C₂²×C₈₉	1	3	yes	complemented
756	C₂×#121	C₂²×C₈₉	1	3	yes	complemented
757	C₂×#121	C₂²×C₈₉	1	6	yes	complemented
758	#520	C₂²×C₈₉	1	2	yes	complemented
759	#520	C₂²×C₈₉	1	1	yes	characteristic, complemented
760	#520	C₂²×C₈₉	1	1	yes	characteristic, complemented
761	#519	C₂²×C₈₉	1	2	yes	complemented
762	#518	C₂²×C₈₉	1	6	yes	complemented
763	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
764	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
765	C₂×C₄×D₄	C₂²×C₈₉	1	3	yes	complemented
766	C₂×C₄×D₄	C₂²×C₈₉	1	6	yes	complemented
767	2₋¹⁺⁴	—	4	4	no	—
768	H(5,𝔽₂)	—	4	4	no	—
769	C₂×#41	—	4	4	no	—
770	C₂×#41	—	4	4	no	—
771	C₂×#41	—	4	8	no	—
772	C₂×#41	C₂³×C₈₉	1	2	yes	—
773	C₂×#41	C₂³×C₈₉	1	2	yes	—
774	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
775	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
776	C₂×#41	C₂³×C₈₉	1	3	yes	—
777	C₂×#41	C₂³×C₈₉	1	3	yes	—
778	C₂×#41	C₂³×C₈₉	1	6	yes	—
779	C₂×#41	C₂³×C₈₉	1	6	yes	—
780	C₂×#41	C₂³×C₈₉	1	6	yes	—
781	C₂×#41	C₂³×C₈₉	1	6	yes	—
782	C₂×#41	C₂³×C₈₉	1	3	yes	—
783	C₂×#41	C₂³×C₈₉	1	3	yes	—
784	C₂×#41	C₂³×C₈₉	1	12	yes	—
785	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
786	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
787	C₂²×Q₈	C₂³×C₈₉	1	3	yes	—
788	C₂²×D₄	C₂³×C₈₉	1	3	yes	—
789	C₂²×D₄	C₂³×C₈₉	1	6	yes	—
790	C₂²×D₄	C₂³×C₈₉	1	6	yes	—
791	C₂²×D₄	C₂³×C₈₉	1	3	yes	—
792	C₂²×D₄	C₂³×C₈₉	1	3	yes	—
793	C₂²×D₄	C₂³×C₈₉	1	3	yes	—
794	C₂²×D₄	C₂³×C₈₉	1	6	yes	—
795	C₂²×D₄	C₂³×C₈₉	1	6	yes	—
796	C₂²×D₄	C₂³×C₈₉	1	6	yes	—
797	C₂²×D₄	C₂³×C₈₉	1	12	yes	—
798	C₂³×C₄	C₂³×C₈₉	1	3	yes	—
799	C₂³×C₄	C₂³×C₈₉	1	3	yes	—
800	C₂³×C₄	C₂³×C₈₉	1	6	yes	—
801	C₄⋊Q₈	C₂³×C₈₉	1	6	yes	—
802	C₄⋊Q₈	C₂³×C₈₉	1	6	yes	—
803	#127	C₂³×C₈₉	1	6	yes	—
804	#127	C₂³×C₈₉	1	6	yes	—
805	#127	C₂³×C₈₉	1	12	yes	—
806	#127	C₂³×C₈₉	1	6	yes	—
807	#127	C₂³×C₈₉	1	6	yes	—
808	#127	C₂³×C₈₉	1	12	yes	—
809	#126	C₂³×C₈₉	1	6	yes	—
810	#126	C₂³×C₈₉	1	2	yes	—
811	#126	C₂³×C₈₉	1	6	yes	—
812	#126	C₂³×C₈₉	1	6	yes	—
813	#126	C₂³×C₈₉	1	6	yes	—
814	#126	C₂³×C₈₉	1	6	yes	—
815	#126	C₂³×C₈₉	1	12	yes	—
816	#126	C₂³×C₈₉	1	12	yes	—
817	#126	C₂³×C₈₉	1	12	yes	—
818	#125	C₂³×C₈₉	1	2	yes	—
819	#125	C₂³×C₈₉	1	6	yes	—
820	#125	C₂³×C₈₉	1	6	yes	—
821	#125	C₂³×C₈₉	1	6	yes	—
822	#125	C₂³×C₈₉	1	6	yes	—
823	#125	C₂³×C₈₉	1	12	yes	—
824	#124	C₂³×C₈₉	1	6	yes	—
825	#124	C₂³×C₈₉	1	6	yes	—
826	#124	C₂³×C₈₉	1	6	yes	—
827	#124	C₂³×C₈₉	1	6	yes	—
828	#124	C₂³×C₈₉	1	6	yes	—
829	#124	C₂³×C₈₉	1	6	yes	—
830	#124	C₂³×C₈₉	1	6	yes	—
831	#124	C₂³×C₈₉	1	12	yes	—
832	#124	C₂³×C₈₉	1	12	yes	—
833	#123	C₂³×C₈₉	1	2	yes	—
834	#123	C₂³×C₈₉	1	6	yes	—
835	#123	C₂³×C₈₉	1	6	yes	—
836	#123	C₂³×C₈₉	1	6	yes	—
837	#123	C₂³×C₈₉	1	6	yes	—
838	#123	C₂³×C₈₉	1	6	yes	—
839	#123	C₂³×C₈₉	1	12	yes	—
840	#123	C₂³×C₈₉	1	12	yes	—
841	#123	C₂³×C₈₉	1	2	yes	—
842	#123	C₂³×C₈₉	1	6	yes	—
843	#123	C₂³×C₈₉	1	6	yes	—
844	#123	C₂³×C₈₉	1	6	yes	—
845	#123	C₂³×C₈₉	1	6	yes	—
846	#123	C₂³×C₈₉	1	6	yes	—
847	#123	C₂³×C₈₉	1	12	yes	—
848	#123	C₂³×C₈₉	1	12	yes	—
849	#123	C₂³×C₈₉	1	12	yes	—
850	#123	C₂³×C₈₉	1	12	yes	—
851	#123	C₂³×C₈₉	1	12	yes	—
852	#123	C₂³×C₈₉	1	12	yes	—
853	C₂²⋊Q₈	C₂³×C₈₉	1	3	yes	—
854	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
855	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
856	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
857	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
858	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
859	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
860	C₂²⋊Q₈	C₂³×C₈₉	1	3	yes	—
861	C₂²⋊Q₈	C₂³×C₈₉	1	3	yes	—
862	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
863	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
864	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
865	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
866	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
867	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
868	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
869	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
870	C₂²⋊Q₈	C₂³×C₈₉	1	6	yes	—
871	C₂²⋊Q₈	C₂³×C₈₉	1	12	yes	—
872	#121	C₂³×C₈₉	1	3	yes	—
873	#121	C₂³×C₈₉	1	6	yes	—
874	#121	C₂³×C₈₉	1	6	yes	—
875	#121	C₂³×C₈₉	1	6	yes	—
876	#121	C₂³×C₈₉	1	6	yes	—
877	#121	C₂³×C₈₉	1	6	yes	—
878	#121	C₂³×C₈₉	1	6	yes	—
879	#121	C₂³×C₈₉	1	12	yes	—
880	#121	C₂³×C₈₉	1	6	yes	—
881	#121	C₂³×C₈₉	1	6	yes	—
882	#121	C₂³×C₈₉	1	6	yes	—
883	#121	C₂³×C₈₉	1	6	yes	—
884	#121	C₂³×C₈₉	1	6	yes	—
885	#121	C₂³×C₈₉	1	6	yes	—
886	#121	C₂³×C₈₉	1	6	yes	—
887	#121	C₂³×C₈₉	1	12	yes	—
888	#121	C₂³×C₈₉	1	1	yes	characteristic
889	#121	C₂³×C₈₉	1	3	yes	—
890	#121	C₂³×C₈₉	1	6	yes	—
891	#121	C₂³×C₈₉	1	6	yes	—
892	#121	C₂³×C₈₉	1	3	yes	—
893	#121	C₂³×C₈₉	1	6	yes	—
894	#121	C₂³×C₈₉	1	6	yes	—
895	#121	C₂³×C₈₉	1	6	yes	—
896	#121	C₂³×C₈₉	1	6	yes	—
897	#121	C₂³×C₈₉	1	6	yes	—
898	#121	C₂³×C₈₉	1	6	yes	—
899	#121	C₂³×C₈₉	1	6	yes	—
900	#121	C₂³×C₈₉	1	12	yes	—
901	#121	C₂³×C₈₉	1	12	yes	—
902	#121	C₂³×C₈₉	1	12	yes	—
903	#121	C₂³×C₈₉	1	12	yes	—
904	#121	C₂³×C₈₉	1	12	yes	—
905	#121	C₂³×C₈₉	1	12	yes	—
906	#121	C₂³×C₈₉	1	12	yes	—
907	#121	C₂³×C₈₉	1	12	yes	—
908	#121	C₂³×C₈₉	1	12	yes	—
909	#121	C₂³×C₈₉	1	12	yes	—
910	#121	C₂³×C₈₉	1	12	yes	—
911	#121	C₂³×C₈₉	1	12	yes	—
912	#120	C₂³×C₈₉	1	6	yes	—
913	#120	C₂³×C₈₉	1	6	yes	—
914	#120	C₂³×C₈₉	1	12	yes	—
915	#120	C₂³×C₈₉	1	6	yes	—
916	#120	C₂³×C₈₉	1	12	yes	—
917	#120	C₂³×C₈₉	1	6	yes	—
918	#120	C₂³×C₈₉	1	6	yes	—
919	#120	C₂³×C₈₉	1	6	yes	—
920	#120	C₂³×C₈₉	1	12	yes	—
921	#120	C₂³×C₈₉	1	12	yes	—
922	#120	C₂³×C₈₉	1	12	yes	—
923	#120	C₂³×C₈₉	1	12	yes	—
924	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
925	C₄×Q₈	C₂³×C₈₉	1	6	yes	—
926	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
927	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
928	C₄×Q₈	C₂³×C₈₉	1	6	yes	—
929	C₄×Q₈	C₂³×C₈₉	1	6	yes	—
930	C₄×Q₈	C₂³×C₈₉	1	6	yes	—
931	C₄×D₄	C₂³×C₈₉	1	2	yes	—
932	C₄×D₄	C₂³×C₈₉	1	6	yes	—
933	C₄×D₄	C₂³×C₈₉	1	6	yes	—
934	C₄×D₄	C₂³×C₈₉	1	6	yes	—
935	C₄×D₄	C₂³×C₈₉	1	6	yes	—
936	C₄×D₄	C₂³×C₈₉	1	6	yes	—
937	C₄×D₄	C₂³×C₈₉	1	6	yes	—
938	C₄×D₄	C₂³×C₈₉	1	6	yes	—
939	C₄×D₄	C₂³×C₈₉	1	6	yes	—
940	C₄×D₄	C₂³×C₈₉	1	6	yes	—
941	C₄×D₄	C₂³×C₈₉	1	6	yes	—
942	C₄×D₄	C₂³×C₈₉	1	6	yes	—
943	C₄×D₄	C₂³×C₈₉	1	6	yes	—
944	C₄×D₄	C₂³×C₈₉	1	6	yes	—
945	C₄×D₄	C₂³×C₈₉	1	12	yes	—
946	C₄×D₄	C₂³×C₈₉	1	12	yes	—
947	C₄×D₄	C₂³×C₈₉	1	12	yes	—
948	C₄×D₄	C₂³×C₈₉	1	6	yes	—
949	C₄×D₄	C₂³×C₈₉	1	6	yes	—
950	C₄×D₄	C₂³×C₈₉	1	6	yes	—
951	C₄×D₄	C₂³×C₈₉	1	6	yes	—
952	C₄×D₄	C₂³×C₈₉	1	6	yes	—
953	C₄×D₄	C₂³×C₈₉	1	6	yes	—
954	C₄×D₄	C₂³×C₈₉	1	6	yes	—
955	C₄×D₄	C₂³×C₈₉	1	12	yes	—
956	C₄×D₄	C₂³×C₈₉	1	12	yes	—
957	C₄×D₄	C₂³×C₈₉	1	12	yes	—
958	#117	C₂³×C₈₉	1	6	yes	—
959	#117	C₂³×C₈₉	1	12	yes	—
960	#117	C₂³×C₈₉	1	6	yes	—
961	#117	C₂³×C₈₉	1	6	yes	—
962	#117	C₂³×C₈₉	1	6	yes	—
963	#117	C₂³×C₈₉	1	3	yes	—
964	#117	C₂³×C₈₉	1	3	yes	—
965	#117	C₂³×C₈₉	1	12	yes	—
966	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₈₉	1	6	yes	—
968	C₂×C₄⋊C₄	C₂³×C₈₉	1	3	yes	—
969	C₂×C₄⋊C₄	C₂³×C₈₉	1	6	yes	—
970	C₂×C₄⋊C₄	C₂³×C₈₉	1	3	yes	—
971	C₂×C₄⋊C₄	C₂³×C₈₉	1	3	yes	—
972	C₂×C₄⋊C₄	C₂³×C₈₉	1	6	yes	—
973	C₂×C₂²⋊C₄	C₂³×C₈₉	1	3	yes	—
974	C₂×C₂²⋊C₄	C₂³×C₈₉	1	3	yes	—
975	C₂×C₂²⋊C₄	C₂³×C₈₉	1	6	yes	—
976	C₂×C₂²⋊C₄	C₂³×C₈₉	1	6	yes	—
977	C₂×C₂²⋊C₄	C₂³×C₈₉	1	12	yes	—
978	C₂×C₂²⋊C₄	C₂³×C₈₉	1	6	yes	—
979	C₂×C₂²⋊C₄	C₂³×C₈₉	1	6	yes	—
980	C₂×C₄²	C₂³×C₈₉	1	3	yes	—
981	C₂×C₄²	C₂³×C₈₉	1	6	yes	—
982	C₂⁴	C₂⁴×C₈₉	1	3	yes	—
983	C₂⁴	C₂⁴×C₈₉	1	3	yes	—
984	C₂⁴	C₂⁴×C₈₉	1	6	yes	—
985	C₂⁴	C₂⁴×C₈₉	1	6	yes	—
986	#41	—	2	8	no	—
987	#41	—	2	4	no	—
988	#41	—	2	8	no	—
989	#41	—	2	4	no	—
990	#41	—	4	6	no	—
991	#41	—	4	6	no	—
992	#41	—	4	12	no	—
993	#41	—	4	12	no	—
994	#41	—	4	12	no	—
995	#41	—	4	6	no	—
996	#41	—	4	6	no	—
997	#41	—	4	12	no	—
998	#41	—	8	12	no	—
999	C₂×Q₈	—	2	4	no	—
1000	C₂×Q₈	—	2	8	no	—
1001	C₂×Q₈	—	4	6	no	—
1002	C₂×Q₈	C₂⁴×C₈₉	1	6	yes	—
1003	C₂×Q₈	C₂⁴×C₈₉	1	3	yes	—
1004	C₂×Q₈	C₂⁴×C₈₉	1	6	yes	—
1005	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1006	C₂×Q₈	C₂⁴×C₈₉	1	3	yes	—
1007	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1008	C₂×D₄	—	4	6	no	—
1009	C₂×D₄	—	4	6	no	—
1010	C₂×D₄	—	4	12	no	—
1011	C₂×D₄	—	4	6	no	—
1012	C₂×D₄	—	4	12	no	—
1013	C₂×D₄	—	4	6	no	—
1014	C₂×D₄	—	4	12	no	—
1015	C₂×D₄	—	4	12	no	—
1016	C₂×D₄	—	8	6	no	—
1017	C₂×D₄	—	8	12	no	—
1018	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1019	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1020	C₂×D₄	C₂⁴×C₈₉	1	3	yes	—
1021	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1022	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1023	C₂×D₄	C₂⁴×C₈₉	1	3	yes	—
1024	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1025	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1026	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1027	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
1028	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1029	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1030	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
1031	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1032	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1033	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
1034	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
1035	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1036	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1037	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
1038	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1039	C₂×D₄	C₂⁴×C₈₉	1	3	yes	—
1040	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1041	C₂×D₄	C₂⁴×C₈₉	1	6	yes	—
1042	C₂²×C₄	—	4	6	no	—
1043	C₂²×C₄	—	4	6	no	—
1044	C₂²×C₄	—	4	12	no	—
1045	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1047	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1048	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1049	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1050	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1051	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1052	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1053	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1054	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1055	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1058	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1059	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1060	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1061	C₂²×C₄	C₂⁴×C₈₉	1	12	yes	—
1062	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1063	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1064	C₂²×C₄	C₂⁴×C₈₉	1	6	yes	—
1065	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
1066	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1067	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1068	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1069	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1070	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1071	C₄⋊C₄	C₂⁴×C₈₉	1	3	yes	—
1072	C₄⋊C₄	C₂⁴×C₈₉	1	3	yes	—
1073	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1074	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1075	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1076	C₄⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1077	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1078	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1079	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1080	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1081	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1082	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1083	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1084	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1085	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1086	C₄⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1087	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1088	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1089	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1090	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1091	C₄⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1092	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1093	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1094	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1095	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1096	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1097	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1098	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1099	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1100	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1101	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1102	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1103	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1104	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1105	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1106	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1107	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1108	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1109	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1110	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1111	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1112	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1113	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1114	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1115	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1116	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1117	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1118	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1119	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1120	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
1121	C₂²⋊C₄	C₂⁴×C₈₉	1	6	yes	—
1122	C₄²	C₂⁴×C₈₉	1	2	yes	—
1123	C₄²	C₂⁴×C₈₉	1	6	yes	—
1124	C₄²	C₂⁴×C₈₉	1	6	yes	—
1125	C₄²	C₂⁴×C₈₉	1	6	yes	—
1126	C₄²	C₂⁴×C₈₉	1	6	yes	—
1127	C₄²	C₂⁴×C₈₉	1	6	yes	—
1128	C₄²	C₂⁴×C₈₉	1	12	yes	—
1129	C₂³	—	2	6	no	—
1130	C₂³	—	2	6	no	—
1131	C₂³	—	4	3	no	—
1132	C₂³	—	4	3	no	—
1133	C₂³	—	4	6	no	—
1134	C₂³	—	4	6	no	—
1135	C₂³	—	4	3	no	—
1136	C₂³	—	4	3	no	—
1137	C₂³	—	4	6	no	—
1138	C₂³	—	4	6	no	—
1139	C₂³	—	4	6	no	—
1140	C₂³	—	4	6	no	—
1141	C₂³	C₂⁵×C₈₉	1	2	yes	—
1142	C₂³	C₂⁵×C₈₉	1	3	yes	—
1143	C₂³	C₂⁵×C₈₉	1	6	yes	—
1144	C₂³	C₂⁵×C₈₉	1	6	yes	—
1145	C₂³	C₂⁵×C₈₉	1	3	yes	—
1146	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1147	Q₈	—	2	12	no	—
1148	Q₈	—	2	6	no	—
1149	Q₈	—	4	3	no	—
1150	Q₈	—	4	1	no	—
1151	Q₈	—	4	6	no	—
1152	Q₈	H(5,𝔽₂)×C₈₉	1	4	yes	—
1153	D₄	—	2	4	no	—
1154	D₄	—	2	12	no	—
1155	D₄	—	2	6	no	—
1156	D₄	—	2	12	no	—
1157	D₄	—	2	12	no	—
1158	D₄	—	2	6	no	—
1159	D₄	—	4	6	no	—
1160	D₄	—	4	3	no	—
1161	D₄	—	4	6	no	—
1162	D₄	—	4	6	no	—
1163	D₄	—	4	6	no	—
1164	D₄	—	4	6	no	—
1165	D₄	—	4	12	no	—
1166	D₄	—	4	6	no	—
1167	D₄	—	4	6	no	—
1168	D₄	—	4	12	no	—
1169	D₄	—	4	6	no	—
1170	D₄	—	4	6	no	—
1171	D₄	—	4	12	no	—
1172	D₄	—	4	12	no	—
1173	D₄	—	4	12	no	—
1174	D₄	—	4	1	no	—
1175	D₄	—	4	6	no	—
1176	D₄	—	4	6	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	6	no	—
1179	C₂×C₄	—	2	12	no	—
1180	C₂×C₄	—	2	12	no	—
1181	C₂×C₄	—	2	6	no	—
1182	C₂×C₄	—	2	12	no	—
1183	C₂×C₄	—	2	6	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	2	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	6	no	—
1188	C₂×C₄	—	4	6	no	—
1189	C₂×C₄	—	4	3	no	—
1190	C₂×C₄	—	4	6	no	—
1191	C₂×C₄	—	4	3	no	—
1192	C₂×C₄	—	4	6	no	—
1193	C₂×C₄	—	4	6	no	—
1194	C₂×C₄	—	4	3	no	—
1195	C₂×C₄	—	4	12	no	—
1196	C₂×C₄	—	4	6	no	—
1197	C₂×C₄	—	4	6	no	—
1198	C₂×C₄	—	4	6	no	—
1199	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1200	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1201	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1202	C₂×C₄	C₂⁵×C₈₉	1	6	yes	—
1203	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1204	C₂×C₄	C₂⁵×C₈₉	1	6	yes	—
1205	C₂×C₄	C₂⁵×C₈₉	1	6	yes	—
1206	C₂×C₄	C₂⁵×C₈₉	1	6	yes	—
1207	C₂×C₄	C₂⁵×C₈₉	1	3	yes	—
1208	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1209	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1210	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1211	C₂×C₄	C₂⁵×C₈₉	1	3	yes	—
1212	C₂²	—	2	1	no	—
1213	C₂²	—	2	1	no	—
1214	C₂²	—	2	2	no	—
1215	C₂²	—	2	3	no	—
1216	C₂²	—	2	6	no	—
1217	C₂²	—	2	3	no	—
1218	C₂²	—	2	6	no	—
1219	C₂²	—	2	3	no	—
1220	C₂²	—	2	6	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	2	6	no	—
1223	C₂²	—	2	3	no	—
1224	C₂²	—	2	3	no	—
1225	C₂²	—	2	6	no	—
1226	C₂²	—	2	6	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	3	no	—
1229	C₂²	—	8	6	no	—
1230	C₂²	—	8	6	no	—
1231	C₂²	—	8	12	no	—
1232	C₂²	—	16	6	no	—
1233	C₂²	#585×C₈₉	1	2	yes	—
1234	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1235	C₄	—	2	2	no	—
1236	C₄	—	2	2	no	—
1237	C₄	—	2	1	no	—
1238	C₄	—	2	1	no	—
1239	C₄	—	2	3	no	—
1240	C₄	—	2	6	no	—
1241	C₄	—	2	2	no	—
1242	C₄	—	2	6	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	6	no	—
1245	C₄	—	2	6	no	—
1246	C₄	—	2	2	no	—
1247	C₄	C₂×H(5,𝔽₂)×C₈₉	1	6	yes	—
1248	C₂	—	2	2	no	—
1249	C₂	—	4	3	no	—
1250	C₂	—	4	6	no	—
1251	C₂	—	4	2	no	—
1252	C₂	—	4	3	no	—
1253	C₂	—	4	6	no	—
1254	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1255	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1256	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3562	C₂	semidirect
2. C₈₉×#3546	C₂	semidirect
3. C₈₉×#3543	C₂	semidirect
4. C₈₉×#3542	C₂	semidirect
5. C₈₉×#3539	C₂	semidirect
6. C₈₉×#3537	C₂	semidirect
7. C₈₉×#3536	C₂	semidirect
8. C₈₉×#3524	C₂	semidirect
9. C₈₉×#3519	C₂	semidirect
10. C₈₉×#3517	C₂	semidirect
11. C₈₉×#3516	C₂	semidirect
12. C₈₉×#3505	C₂	semidirect
13. C₈₉×#3489	C₂	semidirect
14. C₈₉×#3488	C₂	semidirect
15. C₈₉×#3488	C₂	semidirect
16. C₈₉×#3487	C₂	semidirect
17. D₄×#41×C₈₉	C₂	semidirect
18. C₂×#550×C₈₉	C₂	semidirect
19. C₈₉×#3459	C₂	semidirect
20. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
21. C₂×H(5,𝔽₂)×C₈₉	C₂²	semidirect
22. C₂²×#41×C₈₉	C₂²	semidirect
23. C₂²×#41×C₈₉	C₂²	semidirect
24. C₂²×#41×C₈₉	C₂²	semidirect
25. #562×C₈₉	C₂²	semidirect
26. #560×C₈₉	C₂²	semidirect
27. #560×C₈₉	C₂²	semidirect
28. #560×C₈₉	C₂²	semidirect
29. #559×C₈₉	C₂²	semidirect
30. #557×C₈₉	C₂²	semidirect
31. #556×C₈₉	C₂²	semidirect
32. #555×C₈₉	C₂²	semidirect
33. #554×C₈₉	C₂²	semidirect
34. #553×C₈₉	C₂²	semidirect
35. #553×C₈₉	C₂²	semidirect
36. #553×C₈₉	C₂²	semidirect
37. #553×C₈₉	C₂²	semidirect
38. #553×C₈₉	C₂²	semidirect
39. #553×C₈₉	C₂²	semidirect
40. #552×C₈₉	C₂²	semidirect
41. #552×C₈₉	C₂²	semidirect
42. #551×C₈₉	C₂²	semidirect
43. #550×C₈₉	C₂²	semidirect
44. #550×C₈₉	C₂²	semidirect
45. #550×C₈₉	C₂²	semidirect
46. #550×C₈₉	C₂²	semidirect
47. #550×C₈₉	C₂²	semidirect
48. #550×C₈₉	C₂²	semidirect
49. #550×C₈₉	C₂²	semidirect
50. #550×C₈₉	C₂²	semidirect
51. #550×C₈₉	C₂²	semidirect
52. D₄×Q₈×C₈₉	C₂²	semidirect
53. #548×C₈₉	C₂²	semidirect
54. #548×C₈₉	C₂²	semidirect
55. #548×C₈₉	C₂²	semidirect
56. #548×C₈₉	C₂²	semidirect
57. #548×C₈₉	C₂²	semidirect
58. #548×C₈₉	C₂²	semidirect
59. #547×C₈₉	C₂²	semidirect
60. #547×C₈₉	C₂²	semidirect
61. #547×C₈₉	C₂²	semidirect
62. #546×C₈₉	C₂²	semidirect
63. #546×C₈₉	C₂²	semidirect
64. #546×C₈₉	C₂²	semidirect
65. #546×C₈₉	C₂²	semidirect
66. #546×C₈₉	C₂²	semidirect
67. #546×C₈₉	C₂²	semidirect
68. #546×C₈₉	C₂²	semidirect
69. #546×C₈₉	C₂²	semidirect
70. D₄²×C₈₉	C₂²	semidirect
71. D₄²×C₈₉	C₂²	semidirect
72. D₄²×C₈₉	C₂²	semidirect
73. D₄²×C₈₉	C₂²	semidirect
74. D₄²×C₈₉	C₂²	semidirect
75. #543×C₈₉	C₂²	semidirect
76. #542×C₈₉	C₂²	semidirect
77. #542×C₈₉	C₂²	semidirect
78. #541×C₈₉	C₂²	semidirect
79. #540×C₈₉	C₂²	semidirect
80. #540×C₈₉	C₂²	semidirect
81. #540×C₈₉	C₂²	semidirect
82. #540×C₈₉	C₂²	semidirect
83. #540×C₈₉	C₂²	semidirect
84. #539×C₈₉	C₂²	semidirect
85. #539×C₈₉	C₂²	semidirect
86. #539×C₈₉	C₂²	semidirect
87. #539×C₈₉	C₂²	semidirect
88. #539×C₈₉	C₂²	semidirect
89. #538×C₈₉	C₂²	semidirect
90. #538×C₈₉	C₂²	semidirect
91. #538×C₈₉	C₂²	semidirect
92. #538×C₈₉	C₂²	semidirect
93. #538×C₈₉	C₂²	semidirect
94. #538×C₈₉	C₂²	semidirect
95. #537×C₈₉	C₂²	semidirect
96. #537×C₈₉	C₂²	semidirect
97. #537×C₈₉	C₂²	semidirect
98. #537×C₈₉	C₂²	semidirect
99. #536×C₈₉	C₂²	semidirect
100. #535×C₈₉	C₂²	semidirect
101. #535×C₈₉	C₂²	semidirect
102. #535×C₈₉	C₂²	semidirect
103. #535×C₈₉	C₂²	semidirect
104. #535×C₈₉	C₂²	semidirect
105. #534×C₈₉	C₂²	semidirect
106. #534×C₈₉	C₂²	semidirect
107. #534×C₈₉	C₂²	semidirect
108. #534×C₈₉	C₂²	semidirect
109. #532×C₈₉	C₂²	semidirect
110. #532×C₈₉	C₂²	semidirect
111. C₂×#127×C₈₉	C₂²	semidirect
112. #529×C₈₉	C₂²	semidirect
113. #529×C₈₉	C₂²	semidirect
114. #529×C₈₉	C₂²	semidirect
115. #529×C₈₉	C₂²	semidirect
116. #529×C₈₉	C₂²	semidirect
117. #525×C₈₉	C₂²	semidirect
118. #525×C₈₉	C₂²	semidirect
119. #525×C₈₉	C₂²	semidirect
120. #525×C₈₉	C₂²	semidirect
121. #525×C₈₉	C₂²	semidirect
122. #525×C₈₉	C₂²	semidirect
123. #525×C₈₉	C₂²	semidirect
124. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
125. C₂×#121×C₈₉	C₂²	semidirect
126. C₂×#121×C₈₉	C₂²	semidirect
127. C₂×#121×C₈₉	C₂²	semidirect
128. C₂×#121×C₈₉	C₂²	semidirect
129. #520×C₈₉	C₂²	semidirect
130. #520×C₈₉	C₂²	semidirect
131. #520×C₈₉	C₂²	semidirect
132. #519×C₈₉	C₂²	semidirect
133. #518×C₈₉	C₂²	semidirect
134. C₄×#41×C₈₉	C₂²	semidirect
135. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
136. C₂×C₄×D₄×C₈₉	C₂²	semidirect
137. C₂×C₄×D₄×C₈₉	C₂²	semidirect
619. #62899	C₈₉	direct (N × H)
629. #3562	C₂×C₈₉	semidirect
630. #3546	C₂×C₈₉	semidirect
631. #3543	C₂×C₈₉	semidirect
632. #3542	C₂×C₈₉	semidirect
633. #3539	C₂×C₈₉	semidirect
634. #3537	C₂×C₈₉	semidirect
635. #3536	C₂×C₈₉	semidirect
636. #3524	C₂×C₈₉	semidirect
637. #3519	C₂×C₈₉	semidirect
638. #3517	C₂×C₈₉	semidirect
639. #3516	C₂×C₈₉	semidirect
640. #3505	C₂×C₈₉	semidirect
641. #3489	C₂×C₈₉	semidirect
642. #3488	C₂×C₈₉	semidirect
643. #3488	C₂×C₈₉	semidirect
644. #3487	C₂×C₈₉	semidirect
645. D₄×#41	C₂×C₈₉	semidirect
646. C₂×#550	C₂×C₈₉	semidirect
647. #3459	C₂×C₈₉	semidirect
648. C₈₉	#62899	direct (N × H)
649. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
650. C₂×H(5,𝔽₂)	C₂²×C₈₉	semidirect
651. C₂²×#41	C₂²×C₈₉	semidirect
652. C₂²×#41	C₂²×C₈₉	semidirect
653. C₂²×#41	C₂²×C₈₉	semidirect
654. #562	C₂²×C₈₉	semidirect
655. #560	C₂²×C₈₉	semidirect
656. #560	C₂²×C₈₉	semidirect
657. #560	C₂²×C₈₉	semidirect
658. #559	C₂²×C₈₉	semidirect
659. #557	C₂²×C₈₉	semidirect
660. #556	C₂²×C₈₉	semidirect
661. #555	C₂²×C₈₉	semidirect
662. #554	C₂²×C₈₉	semidirect
663. #553	C₂²×C₈₉	semidirect
664. #553	C₂²×C₈₉	semidirect
665. #553	C₂²×C₈₉	semidirect
666. #553	C₂²×C₈₉	semidirect
667. #553	C₂²×C₈₉	semidirect
668. #553	C₂²×C₈₉	semidirect
669. #552	C₂²×C₈₉	semidirect
670. #552	C₂²×C₈₉	semidirect
671. #551	C₂²×C₈₉	semidirect
672. #550	C₂²×C₈₉	semidirect
673. #550	C₂²×C₈₉	semidirect
674. #550	C₂²×C₈₉	semidirect
675. #550	C₂²×C₈₉	semidirect
676. #550	C₂²×C₈₉	semidirect
677. #550	C₂²×C₈₉	semidirect
678. #550	C₂²×C₈₉	semidirect
679. #550	C₂²×C₈₉	semidirect
680. #550	C₂²×C₈₉	semidirect
681. D₄×Q₈	C₂²×C₈₉	semidirect
682. #548	C₂²×C₈₉	semidirect
683. #548	C₂²×C₈₉	semidirect
684. #548	C₂²×C₈₉	semidirect
685. #548	C₂²×C₈₉	semidirect
686. #548	C₂²×C₈₉	semidirect
687. #548	C₂²×C₈₉	semidirect
688. #547	C₂²×C₈₉	semidirect
689. #547	C₂²×C₈₉	semidirect
690. #547	C₂²×C₈₉	semidirect
691. #546	C₂²×C₈₉	semidirect
692. #546	C₂²×C₈₉	semidirect
693. #546	C₂²×C₈₉	semidirect
694. #546	C₂²×C₈₉	semidirect
695. #546	C₂²×C₈₉	semidirect
696. #546	C₂²×C₈₉	semidirect
697. #546	C₂²×C₈₉	semidirect
698. #546	C₂²×C₈₉	semidirect
699. D₄²	C₂²×C₈₉	semidirect
700. D₄²	C₂²×C₈₉	semidirect
701. D₄²	C₂²×C₈₉	semidirect
702. D₄²	C₂²×C₈₉	semidirect
703. D₄²	C₂²×C₈₉	semidirect
704. #543	C₂²×C₈₉	semidirect
705. #542	C₂²×C₈₉	semidirect
706. #542	C₂²×C₈₉	semidirect
707. #541	C₂²×C₈₉	semidirect
708. #540	C₂²×C₈₉	semidirect
709. #540	C₂²×C₈₉	semidirect
710. #540	C₂²×C₈₉	semidirect
711. #540	C₂²×C₈₉	semidirect
712. #540	C₂²×C₈₉	semidirect
713. #539	C₂²×C₈₉	semidirect
714. #539	C₂²×C₈₉	semidirect
715. #539	C₂²×C₈₉	semidirect
716. #539	C₂²×C₈₉	semidirect
717. #539	C₂²×C₈₉	semidirect
718. #538	C₂²×C₈₉	semidirect
719. #538	C₂²×C₈₉	semidirect
720. #538	C₂²×C₈₉	semidirect
721. #538	C₂²×C₈₉	semidirect
722. #538	C₂²×C₈₉	semidirect
723. #538	C₂²×C₈₉	semidirect
724. #537	C₂²×C₈₉	semidirect
725. #537	C₂²×C₈₉	semidirect
726. #537	C₂²×C₈₉	semidirect
727. #537	C₂²×C₈₉	semidirect
728. #536	C₂²×C₈₉	semidirect
729. #535	C₂²×C₈₉	semidirect
730. #535	C₂²×C₈₉	semidirect
731. #535	C₂²×C₈₉	semidirect
732. #535	C₂²×C₈₉	semidirect
733. #535	C₂²×C₈₉	semidirect
734. #534	C₂²×C₈₉	semidirect
735. #534	C₂²×C₈₉	semidirect
736. #534	C₂²×C₈₉	semidirect
737. #534	C₂²×C₈₉	semidirect
738. #532	C₂²×C₈₉	semidirect
739. #532	C₂²×C₈₉	semidirect
740. C₂×#127	C₂²×C₈₉	semidirect
741. #529	C₂²×C₈₉	semidirect
742. #529	C₂²×C₈₉	semidirect
743. #529	C₂²×C₈₉	semidirect
744. #529	C₂²×C₈₉	semidirect
745. #529	C₂²×C₈₉	semidirect
746. #525	C₂²×C₈₉	semidirect
747. #525	C₂²×C₈₉	semidirect
748. #525	C₂²×C₈₉	semidirect
749. #525	C₂²×C₈₉	semidirect
750. #525	C₂²×C₈₉	semidirect
751. #525	C₂²×C₈₉	semidirect
752. #525	C₂²×C₈₉	semidirect
753. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
754. C₂×#121	C₂²×C₈₉	semidirect
755. C₂×#121	C₂²×C₈₉	semidirect
756. C₂×#121	C₂²×C₈₉	semidirect
757. C₂×#121	C₂²×C₈₉	semidirect
758. #520	C₂²×C₈₉	semidirect
759. #520	C₂²×C₈₉	semidirect
760. #520	C₂²×C₈₉	semidirect
761. #519	C₂²×C₈₉	semidirect
762. #518	C₂²×C₈₉	semidirect
763. C₄×#41	C₂²×C₈₉	semidirect
764. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
765. C₂×C₄×D₄	C₂²×C₈₉	semidirect
766. C₂×C₄×D₄	C₂²×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₈₉×#3562	2
C₈₉×#3546	2
C₈₉×#3543	2
C₈₉×#3542	2
C₈₉×#3539	2
C₈₉×#3537	2
C₈₉×#3536	2
C₈₉×#3524	2
C₈₉×#3519	2
C₈₉×#3517	2
C₈₉×#3516	2
C₈₉×#3505	2
C₈₉×#3489	2
C₈₉×#3488	2
C₈₉×#3487	2
D₄×#41×C₈₉	2
C₂×#550×C₈₉	2
C₈₉×#3459	2
#62899	89

Subgroups — C89×#62899 #36440747

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62899 #36440747