Subgroups — C₈₉×#62596 #36440444

Order 22784.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3563	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3543	C₂	1	1	yes	maximal, characteristic
3	C₈₉×#3371	C₂	1	2	yes	maximal, complemented
4	C₈₉×#3368	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3317	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3314	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3310	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3310	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3296	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3295	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3241	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3232	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3222	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3208	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3181	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3174	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×#490×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	#564×C₈₉	—	2	1	no	—
21	#563×C₈₉	—	2	1	no	—
22	#560×C₈₉	—	2	2	no	—
23	#559×C₈₉	C₂²	1	1	yes	characteristic
24	#557×C₈₉	C₂²	1	2	yes	complemented
25	#554×C₈₉	C₂²	1	2	yes	complemented
26	#552×C₈₉	—	2	2	no	—
27	#552×C₈₉	C₂²	1	2	yes	complemented
28	#552×C₈₉	C₂²	1	2	yes	complemented
29	#550×C₈₉	C₂²	1	1	yes	characteristic
30	#550×C₈₉	C₂²	1	1	yes	characteristic
31	#546×C₈₉	—	2	1	no	—
32	#546×C₈₉	C₂²	1	2	yes	—
33	D₄²×C₈₉	—	2	1	no	—
34	D₄²×C₈₉	C₂²	1	2	yes	—
35	D₄²×C₈₉	C₂²	1	1	yes	characteristic
36	#544×C₈₉	—	2	1	no	—
37	#544×C₈₉	C₂²	1	2	yes	complemented
38	#541×C₈₉	—	2	2	no	—
39	#541×C₈₉	C₂²	1	2	yes	complemented
40	#540×C₈₉	—	2	1	no	—
41	#540×C₈₉	C₂²	1	2	yes	—
42	#539×C₈₉	—	2	1	no	—
43	#535×C₈₉	—	2	1	no	—
44	#535×C₈₉	C₂²	1	2	yes	—
45	#534×C₈₉	—	2	2	no	—
46	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×#127×C₈₉	C₂²	1	1	yes	characteristic
48	#529×C₈₉	C₂²	1	1	yes	characteristic
49	#529×C₈₉	C₂²	1	1	yes	characteristic
50	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
51	#501×C₈₉	C₂²	1	1	yes	characteristic, complemented
52	#499×C₈₉	C₂²	1	2	yes	complemented
53	#497×C₈₉	C₂²	1	1	yes	characteristic, complemented
54	#492×C₈₉	C₂²	1	2	yes	complemented
55	#491×C₈₉	C₂²	1	1	yes	characteristic, complemented
56	#490×C₈₉	C₂²	1	2	yes	—
57	#490×C₈₉	C₂²	1	2	yes	complemented
58	#490×C₈₉	C₂²	1	2	yes	complemented
59	#490×C₈₉	C₂²	1	2	yes	complemented
60	#490×C₈₉	C₂²	1	2	yes	complemented
61	#489×C₈₉	C₂²	1	2	yes	complemented
62	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
63	#488×C₈₉	C₂²	1	2	yes	complemented
64	#488×C₈₉	C₂²	1	2	yes	complemented
65	#486×C₈₉	C₂²	1	2	yes	complemented
66	#486×C₈₉	C₂²	1	2	yes	complemented
67	#484×C₈₉	C₂²	1	1	yes	characteristic, complemented
68	#483×C₈₉	C₂²	1	1	yes	characteristic, complemented
69	#482×C₈₉	C₂²	1	2	yes	complemented
70	#482×C₈₉	C₂²	1	2	yes	complemented
71	#481×C₈₉	C₂²	1	1	yes	characteristic
72	#481×C₈₉	C₂²	1	2	yes	complemented
73	#480×C₈₉	C₂²	1	1	yes	characteristic
74	#480×C₈₉	C₂²	1	2	yes	complemented
75	#479×C₈₉	C₂²	1	2	yes	complemented
76	#478×C₈₉	C₂²	1	2	yes	complemented
77	#478×C₈₉	C₂²	1	2	yes	complemented
78	#478×C₈₉	C₂²	1	2	yes	complemented
79	#476×C₈₉	C₂²	1	2	yes	complemented
80	#474×C₈₉	C₂²	1	2	yes	complemented
81	#468×C₈₉	C₂²	1	2	yes	complemented
82	#468×C₈₉	C₂²	1	2	yes	complemented
83	#467×C₈₉	C₂²	1	2	yes	complemented
84	#465×C₈₉	C₂²	1	2	yes	—
85	#465×C₈₉	C₂²	1	2	yes	complemented
86	#465×C₈₉	C₂²	1	2	yes	complemented
87	#464×C₈₉	C₂²	1	2	yes	complemented
88	#464×C₈₉	C₂²	1	2	yes	complemented
89	#460×C₈₉	C₂²	1	2	yes	—
90	#460×C₈₉	C₂²	1	2	yes	complemented
91	#460×C₈₉	C₂²	1	2	yes	complemented
92	#460×C₈₉	C₂²	1	2	yes	complemented
93	#452×C₈₉	C₂²	1	2	yes	complemented
94	#452×C₈₉	C₂²	1	2	yes	complemented
95	#450×C₈₉	C₂²	1	2	yes	complemented
96	#450×C₈₉	C₂²	1	2	yes	complemented
97	#450×C₈₉	C₂²	1	2	yes	complemented
98	#450×C₈₉	C₂²	1	2	yes	complemented
99	#446×C₈₉	C₂²	1	2	yes	complemented
100	#441×C₈₉	C₂²	1	2	yes	complemented
101	#440×C₈₉	C₂²	1	2	yes	complemented
102	#440×C₈₉	C₂²	1	2	yes	complemented
103	#440×C₈₉	C₂²	1	2	yes	complemented
104	C₄×SD₁₆×C₈₉	C₂²	1	2	yes	complemented
105	C₄×SD₁₆×C₈₉	C₂²	1	2	yes	complemented
106	#435×C₈₉	C₂²	1	2	yes	complemented
107	#435×C₈₉	C₂²	1	2	yes	complemented
108	C₈×D₄×C₈₉	C₂²	1	2	yes	complemented
109	#433×C₈₉	C₂²	1	2	yes	complemented
110	#431×C₈₉	C₂²	1	1	yes	characteristic, complemented
111	#418×C₈₉	C₂²	1	2	yes	complemented
112	#417×C₈₉	C₂²	1	2	yes	complemented
113	#416×C₈₉	C₂²	1	2	yes	complemented
114	C₂×#102×C₈₉	C₂²	1	2	yes	complemented
115	C₂×#102×C₈₉	C₂²	1	2	yes	complemented
116	C₂×#102×C₈₉	C₂²	1	2	yes	complemented
117	#405×C₈₉	C₂²	1	2	yes	complemented
118	C₂×#97×C₈₉	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₈₉	—	2	1	no	—
120	C₂×#41×C₈₉	C₂³	1	2	yes	—
121	C₂²×D₄×C₈₉	—	2	2	no	—
122	C₂²×D₄×C₈₉	—	2	1	no	—
123	C₂²×D₄×C₈₉	—	2	1	no	—
124	C₂²×D₄×C₈₉	—	2	1	no	—
125	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
127	C₂×Q₁₆×C₈₉	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
130	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
131	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
132	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
133	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
134	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
135	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
136	C₄⋊Q₈×C₈₉	—	2	2	no	—
137	C₄⋊Q₈×C₈₉	—	2	2	no	—
138	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
139	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
140	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
141	#127×C₈₉	—	2	1	no	—
142	#127×C₈₉	—	2	1	no	—
143	#127×C₈₉	—	2	1	no	—
144	#127×C₈₉	C₂³	1	1	yes	characteristic
145	#127×C₈₉	C₂³	1	2	yes	—
146	#127×C₈₉	C₂³	1	1	yes	characteristic
147	#127×C₈₉	C₂³	1	2	yes	—
148	#126×C₈₉	—	2	2	no	—
149	#126×C₈₉	—	2	2	no	—
150	#126×C₈₉	—	2	2	no	—
151	#126×C₈₉	—	2	2	no	—
152	#126×C₈₉	—	2	1	no	—
153	#126×C₈₉	D₄	1	2	yes	—
154	#125×C₈₉	—	2	2	no	—
155	#125×C₈₉	—	2	2	no	—
156	#125×C₈₉	—	2	2	no	—
157	#125×C₈₉	—	2	2	no	—
158	#125×C₈₉	—	2	2	no	—
159	#125×C₈₉	—	2	2	no	—
160	#125×C₈₉	—	2	2	no	—
161	#125×C₈₉	—	2	2	no	—
162	#125×C₈₉	—	2	1	no	—
163	#125×C₈₉	—	2	1	no	—
164	#125×C₈₉	—	2	1	no	—
165	#125×C₈₉	D₄	1	1	yes	characteristic
166	#125×C₈₉	C₂³	1	2	yes	—
167	#125×C₈₉	C₂³	1	2	yes	—
168	#125×C₈₉	C₂³	1	2	yes	—
169	#125×C₈₉	C₂³	1	1	yes	characteristic
170	#124×C₈₉	—	2	1	no	—
171	#124×C₈₉	D₄	1	1	yes	characteristic
172	#124×C₈₉	C₂³	1	2	yes	—
173	#124×C₈₉	C₂³	1	1	yes	characteristic
174	#123×C₈₉	—	2	2	no	—
175	#123×C₈₉	—	2	2	no	—
176	#123×C₈₉	—	2	1	no	—
177	#123×C₈₉	—	2	2	no	—
178	#123×C₈₉	—	2	2	no	—
179	#123×C₈₉	—	2	2	no	—
180	#123×C₈₉	—	2	2	no	—
181	#123×C₈₉	D₄	1	2	yes	—
182	C₂²⋊Q₈×C₈₉	—	2	1	no	—
183	C₂²⋊Q₈×C₈₉	—	2	2	no	—
184	C₂²⋊Q₈×C₈₉	—	2	2	no	—
185	C₂²⋊Q₈×C₈₉	—	2	2	no	—
186	C₂²⋊Q₈×C₈₉	—	2	2	no	—
187	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
188	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
189	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
190	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
191	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
192	#121×C₈₉	—	2	2	no	—
193	#121×C₈₉	—	2	2	no	—
194	#121×C₈₉	—	2	2	no	—
195	#121×C₈₉	—	2	1	no	—
196	#121×C₈₉	—	2	1	no	—
197	#121×C₈₉	—	2	2	no	—
198	#121×C₈₉	—	2	2	no	—
199	#121×C₈₉	—	2	2	no	—
200	#121×C₈₉	—	2	2	no	—
201	#121×C₈₉	—	2	2	no	—
202	#121×C₈₉	D₄	1	1	yes	characteristic
203	#121×C₈₉	C₂³	1	1	yes	characteristic
204	#121×C₈₉	C₂³	1	2	yes	—
205	#121×C₈₉	C₂³	1	2	yes	—
206	#120×C₈₉	—	2	2	no	—
207	#120×C₈₉	—	2	2	no	—
208	#120×C₈₉	—	2	2	no	—
209	#120×C₈₉	—	2	2	no	—
210	#120×C₈₉	—	2	2	no	—
211	#120×C₈₉	—	2	2	no	—
212	C₄×Q₈×C₈₉	—	2	2	no	—
213	C₄×Q₈×C₈₉	—	2	1	no	—
214	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
215	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
216	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
217	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₈₉	—	2	2	no	—
220	C₄×D₄×C₈₉	—	2	1	no	—
221	C₄×D₄×C₈₉	—	2	1	no	—
222	C₄×D₄×C₈₉	—	2	1	no	—
223	C₄×D₄×C₈₉	C₂³	1	2	yes	—
224	C₄×D₄×C₈₉	C₂³	1	2	yes	—
225	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
226	C₄×D₄×C₈₉	C₂³	1	2	yes	—
227	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
228	#117×C₈₉	—	2	1	no	—
229	#117×C₈₉	—	2	2	no	—
230	#117×C₈₉	—	2	2	no	—
231	#117×C₈₉	—	2	1	no	—
232	#117×C₈₉	C₂³	1	2	yes	—
233	#117×C₈₉	C₂³	1	2	yes	—
234	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
235	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
236	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₈₉	—	2	2	no	—
240	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
241	#107×C₈₉	C₂³	1	2	yes	—
242	#107×C₈₉	C₂³	1	2	yes	—
243	#107×C₈₉	C₂³	1	2	yes	—
244	#106×C₈₉	C₂³	1	2	yes	—
245	#106×C₈₉	C₂³	1	2	yes	—
246	#106×C₈₉	C₂³	1	2	yes	—
247	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
248	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
249	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
250	#103×C₈₉	C₂³	1	2	yes	—
251	#103×C₈₉	C₂³	1	2	yes	—
252	#103×C₈₉	C₂³	1	2	yes	—
253	#103×C₈₉	C₂³	1	2	yes	—
254	#103×C₈₉	C₂³	1	2	yes	—
255	#102×C₈₉	C₂³	1	2	yes	—
256	#102×C₈₉	C₂³	1	2	yes	—
257	#102×C₈₉	C₂³	1	2	yes	—
258	#102×C₈₉	C₂³	1	2	yes	—
259	#102×C₈₉	C₂³	1	2	yes	—
260	#102×C₈₉	C₂³	1	2	yes	—
261	#102×C₈₉	C₂³	1	2	yes	—
262	#102×C₈₉	C₂³	1	2	yes	—
263	#102×C₈₉	C₂³	1	2	yes	—
264	#102×C₈₉	C₂³	1	2	yes	—
265	#102×C₈₉	C₂³	1	2	yes	—
266	#102×C₈₉	C₂³	1	2	yes	—
267	#102×C₈₉	C₂³	1	2	yes	—
268	#102×C₈₉	C₂³	1	2	yes	—
269	#102×C₈₉	C₂³	1	2	yes	—
270	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
271	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
272	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
273	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
274	#97×C₈₉	C₂³	1	1	yes	characteristic
275	#97×C₈₉	C₂³	1	1	yes	characteristic
276	#97×C₈₉	C₂³	1	2	yes	—
277	#97×C₈₉	C₂³	1	2	yes	—
278	C₄×C₈×C₈₉	C₂³	1	2	yes	—
279	C₄×C₈×C₈₉	C₂³	1	2	yes	—
280	C₂⁴×C₈₉	—	2	2	no	—
281	C₂⁴×C₈₉	—	2	2	no	—
282	#41×C₈₉	—	4	2	no	—
283	#41×C₈₉	—	4	2	no	—
284	#41×C₈₉	—	8	2	no	—
285	C₂×Q₈×C₈₉	—	2	1	no	—
286	C₂×Q₈×C₈₉	—	2	2	no	—
287	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
288	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
289	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
290	C₂×D₄×C₈₉	—	2	1	no	—
291	C₂×D₄×C₈₉	—	2	2	no	—
292	C₂×D₄×C₈₉	—	2	2	no	—
293	C₂×D₄×C₈₉	—	2	2	no	—
294	C₂×D₄×C₈₉	—	2	1	no	—
295	C₂×D₄×C₈₉	—	2	1	no	—
296	C₂×D₄×C₈₉	—	2	2	no	—
297	C₂×D₄×C₈₉	—	2	2	no	—
298	C₂×D₄×C₈₉	—	2	1	no	—
299	C₂×D₄×C₈₉	—	2	2	no	—
300	C₂×D₄×C₈₉	—	2	2	no	—
301	C₂×D₄×C₈₉	—	2	2	no	—
302	C₂×D₄×C₈₉	—	2	2	no	—
303	C₂×D₄×C₈₉	—	2	1	no	—
304	C₂×D₄×C₈₉	—	4	2	no	—
305	C₂×D₄×C₈₉	—	4	2	no	—
306	C₂×D₄×C₈₉	—	4	2	no	—
307	C₂×D₄×C₈₉	—	4	2	no	—
308	C₂×D₄×C₈₉	—	8	2	no	—
309	C₂×D₄×C₈₉	—	8	2	no	—
310	C₂×D₄×C₈₉	—	8	2	no	—
311	C₂×D₄×C₈₉	—	8	4	no	—
312	C₂×D₄×C₈₉	C₂×D₄	1	2	yes	—
313	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
314	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
315	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
316	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₈₉	—	2	1	no	—
318	C₂²×C₄×C₈₉	—	2	1	no	—
319	C₂²×C₄×C₈₉	—	2	2	no	—
320	C₂²×C₄×C₈₉	—	2	1	no	—
321	C₂²×C₄×C₈₉	—	2	2	no	—
322	C₂²×C₄×C₈₉	—	2	2	no	—
323	C₂²×C₄×C₈₉	—	2	2	no	—
324	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
328	Q₁₆×C₈₉	—	4	2	no	—
329	SD₁₆×C₈₉	—	4	2	no	—
330	SD₁₆×C₈₉	—	4	2	no	—
331	SD₁₆×C₈₉	—	4	2	no	—
332	SD₁₆×C₈₉	—	4	2	no	—
333	SD₁₆×C₈₉	—	4	2	no	—
334	M₁₆×C₈₉	—	4	2	no	—
335	C₂×C₈×C₈₉	—	4	2	no	—
336	C₂×C₈×C₈₉	—	4	2	no	—
337	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
338	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
339	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
340	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
341	C₄⋊C₄×C₈₉	—	2	2	no	—
342	C₄⋊C₄×C₈₉	—	2	2	no	—
343	C₄⋊C₄×C₈₉	—	2	2	no	—
344	C₄⋊C₄×C₈₉	—	2	2	no	—
345	C₄⋊C₄×C₈₉	—	2	1	no	—
346	C₄⋊C₄×C₈₉	—	2	2	no	—
347	C₄⋊C₄×C₈₉	—	2	1	no	—
348	C₄⋊C₄×C₈₉	—	2	1	no	—
349	C₄⋊C₄×C₈₉	—	2	1	no	—
350	C₄⋊C₄×C₈₉	—	2	1	no	—
351	C₄⋊C₄×C₈₉	—	2	2	no	—
352	C₄⋊C₄×C₈₉	—	2	2	no	—
353	C₄⋊C₄×C₈₉	—	2	2	no	—
354	C₄⋊C₄×C₈₉	—	2	1	no	—
355	C₄⋊C₄×C₈₉	—	2	1	no	—
356	C₄⋊C₄×C₈₉	—	2	2	no	—
357	C₄⋊C₄×C₈₉	—	2	2	no	—
358	C₄⋊C₄×C₈₉	—	2	2	no	—
359	C₄⋊C₄×C₈₉	—	2	1	no	—
360	C₄⋊C₄×C₈₉	—	2	1	no	—
361	C₄⋊C₄×C₈₉	—	2	2	no	—
362	C₄⋊C₄×C₈₉	—	2	2	no	—
363	C₄⋊C₄×C₈₉	—	2	2	no	—
364	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
365	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
366	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
367	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
368	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
369	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
370	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
371	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
372	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
375	C₂²⋊C₄×C₈₉	—	2	1	no	—
376	C₂²⋊C₄×C₈₉	—	2	2	no	—
377	C₂²⋊C₄×C₈₉	—	2	2	no	—
378	C₂²⋊C₄×C₈₉	—	2	2	no	—
379	C₂²⋊C₄×C₈₉	—	2	2	no	—
380	C₂²⋊C₄×C₈₉	—	2	2	no	—
381	C₂²⋊C₄×C₈₉	—	2	2	no	—
382	C₂²⋊C₄×C₈₉	—	2	1	no	—
383	C₂²⋊C₄×C₈₉	—	2	1	no	—
384	C₂²⋊C₄×C₈₉	—	2	1	no	—
385	C₂²⋊C₄×C₈₉	—	2	2	no	—
386	C₂²⋊C₄×C₈₉	—	2	2	no	—
387	C₂²⋊C₄×C₈₉	—	2	1	no	—
388	C₂²⋊C₄×C₈₉	—	2	2	no	—
389	C₂²⋊C₄×C₈₉	—	2	2	no	—
390	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
393	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
394	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
395	C₄²×C₈₉	—	2	2	no	—
396	C₄²×C₈₉	—	2	2	no	—
397	C₄²×C₈₉	—	2	1	no	—
398	C₄²×C₈₉	—	2	2	no	—
399	C₄²×C₈₉	—	2	2	no	—
400	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
403	C₄²×C₈₉	C₂⁴	1	2	yes	—
404	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
405	C₂³×C₈₉	—	2	1	no	—
406	C₂³×C₈₉	—	2	2	no	—
407	C₂³×C₈₉	—	2	2	no	—
408	C₂³×C₈₉	—	4	4	no	—
409	C₂³×C₈₉	—	8	2	no	—
410	C₂³×C₈₉	—	8	2	no	—
411	C₂³×C₈₉	—	8	2	no	—
412	C₂³×C₈₉	—	8	2	no	—
413	C₂³×C₈₉	—	8	2	no	—
414	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
415	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
416	Q₈×C₈₉	—	2	2	no	—
417	Q₈×C₈₉	—	2	2	no	—
418	Q₈×C₈₉	—	2	2	no	—
419	Q₈×C₈₉	—	4	1	no	—
420	Q₈×C₈₉	—	8	1	no	—
421	Q₈×C₈₉	—	8	2	no	—
422	D₄×C₈₉	—	2	4	no	—
423	D₄×C₈₉	—	2	2	no	—
424	D₄×C₈₉	—	2	2	no	—
425	D₄×C₈₉	—	2	2	no	—
426	D₄×C₈₉	—	2	2	no	—
427	D₄×C₈₉	—	2	2	no	—
428	D₄×C₈₉	—	4	1	no	—
429	D₄×C₈₉	—	4	2	no	—
430	D₄×C₈₉	—	4	2	no	—
431	D₄×C₈₉	—	4	2	no	—
432	D₄×C₈₉	—	8	2	no	—
433	D₄×C₈₉	—	8	2	no	—
434	D₄×C₈₉	—	8	2	no	—
435	D₄×C₈₉	—	8	1	no	—
436	D₄×C₈₉	—	8	2	no	—
437	D₄×C₈₉	—	8	1	no	—
438	D₄×C₈₉	—	8	2	no	—
439	D₄×C₈₉	—	8	2	no	—
440	D₄×C₈₉	—	8	2	no	—
441	D₄×C₈₉	—	8	2	no	—
442	D₄×C₈₉	—	8	2	no	—
443	C₂×C₄×C₈₉	—	2	2	no	—
444	C₂×C₄×C₈₉	—	2	2	no	—
445	C₂×C₄×C₈₉	—	2	2	no	—
446	C₂×C₄×C₈₉	—	2	2	no	—
447	C₂×C₄×C₈₉	—	2	2	no	—
448	C₂×C₄×C₈₉	—	2	2	no	—
449	C₂×C₄×C₈₉	—	2	2	no	—
450	C₂×C₄×C₈₉	—	2	1	no	—
451	C₂×C₄×C₈₉	—	2	1	no	—
452	C₂×C₄×C₈₉	—	2	2	no	—
453	C₂×C₄×C₈₉	—	2	1	no	—
454	C₂×C₄×C₈₉	—	4	1	no	—
455	C₂×C₄×C₈₉	—	4	2	no	—
456	C₂×C₄×C₈₉	—	4	2	no	—
457	C₂×C₄×C₈₉	—	8	2	no	—
458	C₂×C₄×C₈₉	—	8	2	no	—
459	C₂×C₄×C₈₉	—	8	2	no	—
460	C₂×C₄×C₈₉	—	8	1	no	—
461	C₂×C₄×C₈₉	—	8	2	no	—
462	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
463	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
465	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
466	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
467	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
468	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
469	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
471	C₈×C₈₉	—	2	2	no	—
472	C₈×C₈₉	—	2	2	no	—
473	C₈×C₈₉	—	2	2	no	—
474	C₈×C₈₉	—	2	2	no	—
475	C₂²×C₈₉	—	2	1	no	—
476	C₂²×C₈₉	—	2	1	no	—
477	C₂²×C₈₉	—	2	2	no	—
478	C₂²×C₈₉	—	2	2	no	—
479	C₂²×C₈₉	—	2	2	no	—
480	C₂²×C₈₉	—	4	1	no	—
481	C₂²×C₈₉	—	4	2	no	—
482	C₂²×C₈₉	—	4	2	no	—
483	C₂²×C₈₉	—	4	2	no	—
484	C₂²×C₈₉	—	4	1	no	—
485	C₂²×C₈₉	—	4	2	no	—
486	C₂²×C₈₉	—	4	2	no	—
487	C₂²×C₈₉	—	4	1	no	—
488	C₂²×C₈₉	—	4	2	no	—
489	C₂²×C₈₉	—	16	4	no	—
490	C₂²×C₈₉	—	16	4	no	—
491	C₂²×C₈₉	#577	1	2	yes	—
492	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
493	C₄×C₈₉	—	2	1	no	—
494	C₄×C₈₉	—	2	1	no	—
495	C₄×C₈₉	—	2	2	no	—
496	C₄×C₈₉	—	2	2	no	—
497	C₄×C₈₉	—	2	1	no	—
498	C₄×C₈₉	—	2	1	no	—
499	C₄×C₈₉	—	2	1	no	—
500	C₄×C₈₉	—	2	2	no	—
501	C₄×C₈₉	—	4	1	no	—
502	C₄×C₈₉	—	4	2	no	—
503	C₄×C₈₉	—	4	2	no	—
504	C₄×C₈₉	—	4	1	no	—
505	C₄×C₈₉	—	4	2	no	—
506	C₄×C₈₉	—	4	2	no	—
507	C₄×C₈₉	—	4	1	no	—
508	C₄×C₈₉	#585	1	2	yes	—
509	#62596	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
510	C₂×C₈₉	—	2	2	no	—
511	C₂×C₈₉	—	4	2	no	—
512	C₂×C₈₉	—	8	2	no	—
513	C₂×C₈₉	—	8	1	no	—
514	C₂×C₈₉	—	8	2	no	—
515	C₂×C₈₉	#3500	1	1	yes	characteristic
516	C₂×C₈₉	C₂×#577	1	1	yes	characteristic
517	C₂×C₈₉	#3585	1	1	yes	characteristic
518	#3563	C₂×C₈₉	1	1	yes	characteristic, complemented
519	#3543	C₂×C₈₉	1	1	yes	characteristic
520	#3371	C₂×C₈₉	1	2	yes	complemented
521	#3368	C₂×C₈₉	1	2	yes	complemented
522	#3317	C₂×C₈₉	1	2	yes	complemented
523	#3314	C₂×C₈₉	1	2	yes	complemented
524	#3310	C₂×C₈₉	1	2	yes	complemented
525	#3310	C₂×C₈₉	1	2	yes	complemented
526	#3296	C₂×C₈₉	1	2	yes	complemented
527	#3295	C₂×C₈₉	1	2	yes	complemented
528	#3241	C₂×C₈₉	1	2	yes	complemented
529	#3232	C₂×C₈₉	1	1	yes	characteristic, complemented
530	#3222	C₂×C₈₉	1	2	yes	complemented
531	#3208	C₂×C₈₉	1	1	yes	characteristic, complemented
532	#3181	C₂×C₈₉	1	1	yes	characteristic, complemented
533	#3174	C₂×C₈₉	1	2	yes	complemented
534	#3136	C₂×C₈₉	1	2	yes	complemented
535	C₂×#490	C₂×C₈₉	1	1	yes	characteristic, complemented
536	#2968	C₂×C₈₉	1	1	yes	characteristic, complemented
537	C₈₉	#62596	1	1	yes	characteristic, direct product factor, Sylow
538	#564	—	2	1	no	—
539	#563	—	2	1	no	—
540	#560	—	2	2	no	—
541	#559	C₂²×C₈₉	1	1	yes	characteristic
542	#557	C₂²×C₈₉	1	2	yes	complemented
543	#554	C₂²×C₈₉	1	2	yes	complemented
544	#552	—	2	2	no	—
545	#552	C₂²×C₈₉	1	2	yes	complemented
546	#552	C₂²×C₈₉	1	2	yes	complemented
547	#550	C₂²×C₈₉	1	1	yes	characteristic
548	#550	C₂²×C₈₉	1	1	yes	characteristic
549	#546	—	2	1	no	—
550	#546	C₂²×C₈₉	1	2	yes	—
551	D₄²	—	2	1	no	—
552	D₄²	C₂²×C₈₉	1	2	yes	—
553	D₄²	C₂²×C₈₉	1	1	yes	characteristic
554	#544	—	2	1	no	—
555	#544	C₂²×C₈₉	1	2	yes	complemented
556	#541	—	2	2	no	—
557	#541	C₂²×C₈₉	1	2	yes	complemented
558	#540	—	2	1	no	—
559	#540	C₂²×C₈₉	1	2	yes	—
560	#539	—	2	1	no	—
561	#535	—	2	1	no	—
562	#535	C₂²×C₈₉	1	2	yes	—
563	#534	—	2	2	no	—
564	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
565	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic
566	#529	C₂²×C₈₉	1	1	yes	characteristic
567	#529	C₂²×C₈₉	1	1	yes	characteristic
568	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
569	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
570	#499	C₂²×C₈₉	1	2	yes	complemented
571	#497	C₂²×C₈₉	1	1	yes	characteristic, complemented
572	#492	C₂²×C₈₉	1	2	yes	complemented
573	#491	C₂²×C₈₉	1	1	yes	characteristic, complemented
574	#490	C₂²×C₈₉	1	2	yes	—
575	#490	C₂²×C₈₉	1	2	yes	complemented
576	#490	C₂²×C₈₉	1	2	yes	complemented
577	#490	C₂²×C₈₉	1	2	yes	complemented
578	#490	C₂²×C₈₉	1	2	yes	complemented
579	#489	C₂²×C₈₉	1	2	yes	complemented
580	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
581	#488	C₂²×C₈₉	1	2	yes	complemented
582	#488	C₂²×C₈₉	1	2	yes	complemented
583	#486	C₂²×C₈₉	1	2	yes	complemented
584	#486	C₂²×C₈₉	1	2	yes	complemented
585	#484	C₂²×C₈₉	1	1	yes	characteristic, complemented
586	#483	C₂²×C₈₉	1	1	yes	characteristic, complemented
587	#482	C₂²×C₈₉	1	2	yes	complemented
588	#482	C₂²×C₈₉	1	2	yes	complemented
589	#481	C₂²×C₈₉	1	1	yes	characteristic
590	#481	C₂²×C₈₉	1	2	yes	complemented
591	#480	C₂²×C₈₉	1	1	yes	characteristic
592	#480	C₂²×C₈₉	1	2	yes	complemented
593	#479	C₂²×C₈₉	1	2	yes	complemented
594	#478	C₂²×C₈₉	1	2	yes	complemented
595	#478	C₂²×C₈₉	1	2	yes	complemented
596	#478	C₂²×C₈₉	1	2	yes	complemented
597	#476	C₂²×C₈₉	1	2	yes	complemented
598	#474	C₂²×C₈₉	1	2	yes	complemented
599	#468	C₂²×C₈₉	1	2	yes	complemented
600	#468	C₂²×C₈₉	1	2	yes	complemented
601	#467	C₂²×C₈₉	1	2	yes	complemented
602	#465	C₂²×C₈₉	1	2	yes	—
603	#465	C₂²×C₈₉	1	2	yes	complemented
604	#465	C₂²×C₈₉	1	2	yes	complemented
605	#464	C₂²×C₈₉	1	2	yes	complemented
606	#464	C₂²×C₈₉	1	2	yes	complemented
607	#460	C₂²×C₈₉	1	2	yes	—
608	#460	C₂²×C₈₉	1	2	yes	complemented
609	#460	C₂²×C₈₉	1	2	yes	complemented
610	#460	C₂²×C₈₉	1	2	yes	complemented
611	#452	C₂²×C₈₉	1	2	yes	complemented
612	#452	C₂²×C₈₉	1	2	yes	complemented
613	#450	C₂²×C₈₉	1	2	yes	complemented
614	#450	C₂²×C₈₉	1	2	yes	complemented
615	#450	C₂²×C₈₉	1	2	yes	complemented
616	#450	C₂²×C₈₉	1	2	yes	complemented
617	#446	C₂²×C₈₉	1	2	yes	complemented
618	#441	C₂²×C₈₉	1	2	yes	complemented
619	#440	C₂²×C₈₉	1	2	yes	complemented
620	#440	C₂²×C₈₉	1	2	yes	complemented
621	#440	C₂²×C₈₉	1	2	yes	complemented
622	C₄×SD₁₆	C₂²×C₈₉	1	2	yes	complemented
623	C₄×SD₁₆	C₂²×C₈₉	1	2	yes	complemented
624	#435	C₂²×C₈₉	1	2	yes	complemented
625	#435	C₂²×C₈₉	1	2	yes	complemented
626	C₈×D₄	C₂²×C₈₉	1	2	yes	complemented
627	#433	C₂²×C₈₉	1	2	yes	complemented
628	#431	C₂²×C₈₉	1	1	yes	characteristic, complemented
629	#418	C₂²×C₈₉	1	2	yes	complemented
630	#417	C₂²×C₈₉	1	2	yes	complemented
631	#416	C₂²×C₈₉	1	2	yes	complemented
632	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
633	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
634	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
635	#405	C₂²×C₈₉	1	2	yes	complemented
636	C₂×#97	C₂²×C₈₉	1	1	yes	characteristic, complemented
637	C₂×#41	—	2	1	no	—
638	C₂×#41	C₂³×C₈₉	1	2	yes	—
639	C₂²×D₄	—	2	2	no	—
640	C₂²×D₄	—	2	1	no	—
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	—	2	1	no	—
643	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
644	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
645	C₂×Q₁₆	C₂³×C₈₉	1	2	yes	—
646	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
647	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
648	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
649	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
650	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
651	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
652	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
653	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
654	C₄⋊Q₈	—	2	2	no	—
655	C₄⋊Q₈	—	2	2	no	—
656	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
657	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
658	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
659	#127	—	2	1	no	—
660	#127	—	2	1	no	—
661	#127	—	2	1	no	—
662	#127	C₂³×C₈₉	1	2	yes	—
663	#127	C₂³×C₈₉	1	1	yes	characteristic
664	#127	C₂³×C₈₉	1	1	yes	characteristic
665	#127	C₂³×C₈₉	1	2	yes	—
666	#126	—	2	2	no	—
667	#126	—	2	2	no	—
668	#126	—	2	2	no	—
669	#126	—	2	2	no	—
670	#126	—	2	1	no	—
671	#126	D₄×C₈₉	1	2	yes	—
672	#125	—	2	2	no	—
673	#125	—	2	2	no	—
674	#125	—	2	2	no	—
675	#125	—	2	2	no	—
676	#125	—	2	2	no	—
677	#125	—	2	2	no	—
678	#125	—	2	2	no	—
679	#125	—	2	2	no	—
680	#125	—	2	1	no	—
681	#125	—	2	1	no	—
682	#125	—	2	1	no	—
683	#125	D₄×C₈₉	1	1	yes	characteristic
684	#125	C₂³×C₈₉	1	2	yes	—
685	#125	C₂³×C₈₉	1	2	yes	—
686	#125	C₂³×C₈₉	1	1	yes	characteristic
687	#125	C₂³×C₈₉	1	2	yes	—
688	#124	—	2	1	no	—
689	#124	D₄×C₈₉	1	1	yes	characteristic
690	#124	C₂³×C₈₉	1	1	yes	characteristic
691	#124	C₂³×C₈₉	1	2	yes	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	1	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	D₄×C₈₉	1	2	yes	—
700	C₂²⋊Q₈	—	2	1	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
706	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
707	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
708	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
709	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	1	no	—
714	#121	—	2	1	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	D₄×C₈₉	1	1	yes	characteristic
721	#121	C₂³×C₈₉	1	1	yes	characteristic
722	#121	C₂³×C₈₉	1	2	yes	—
723	#121	C₂³×C₈₉	1	2	yes	—
724	#120	—	2	2	no	—
725	#120	—	2	2	no	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	C₄×Q₈	—	2	2	no	—
731	C₄×Q₈	—	2	1	no	—
732	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
733	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
734	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
735	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
736	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
742	C₄×D₄	C₂³×C₈₉	1	2	yes	—
743	C₄×D₄	C₂³×C₈₉	1	2	yes	—
744	C₄×D₄	C₂³×C₈₉	1	2	yes	—
745	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
746	#117	—	2	1	no	—
747	#117	—	2	2	no	—
748	#117	—	2	2	no	—
749	#117	—	2	1	no	—
750	#117	C₂³×C₈₉	1	2	yes	—
751	#117	C₂³×C₈₉	1	2	yes	—
752	C₂×C₄⋊C₄	—	2	1	no	—
753	C₂×C₄⋊C₄	—	2	1	no	—
754	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
757	C₂×C₂²⋊C₄	—	2	2	no	—
758	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
759	#107	C₂³×C₈₉	1	2	yes	—
760	#107	C₂³×C₈₉	1	2	yes	—
761	#107	C₂³×C₈₉	1	2	yes	—
762	#106	C₂³×C₈₉	1	2	yes	—
763	#106	C₂³×C₈₉	1	2	yes	—
764	#106	C₂³×C₈₉	1	2	yes	—
765	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
766	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
767	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
768	#103	C₂³×C₈₉	1	2	yes	—
769	#103	C₂³×C₈₉	1	2	yes	—
770	#103	C₂³×C₈₉	1	2	yes	—
771	#103	C₂³×C₈₉	1	2	yes	—
772	#103	C₂³×C₈₉	1	2	yes	—
773	#102	C₂³×C₈₉	1	2	yes	—
774	#102	C₂³×C₈₉	1	2	yes	—
775	#102	C₂³×C₈₉	1	2	yes	—
776	#102	C₂³×C₈₉	1	2	yes	—
777	#102	C₂³×C₈₉	1	2	yes	—
778	#102	C₂³×C₈₉	1	2	yes	—
779	#102	C₂³×C₈₉	1	2	yes	—
780	#102	C₂³×C₈₉	1	2	yes	—
781	#102	C₂³×C₈₉	1	2	yes	—
782	#102	C₂³×C₈₉	1	2	yes	—
783	#102	C₂³×C₈₉	1	2	yes	—
784	#102	C₂³×C₈₉	1	2	yes	—
785	#102	C₂³×C₈₉	1	2	yes	—
786	#102	C₂³×C₈₉	1	2	yes	—
787	#102	C₂³×C₈₉	1	2	yes	—
788	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
789	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
790	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
791	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
792	#97	C₂³×C₈₉	1	1	yes	characteristic
793	#97	C₂³×C₈₉	1	1	yes	characteristic
794	#97	C₂³×C₈₉	1	2	yes	—
795	#97	C₂³×C₈₉	1	2	yes	—
796	C₄×C₈	C₂³×C₈₉	1	2	yes	—
797	C₄×C₈	C₂³×C₈₉	1	2	yes	—
798	C₂⁴	—	2	2	no	—
799	C₂⁴	—	2	2	no	—
800	#41	—	4	2	no	—
801	#41	—	4	2	no	—
802	#41	—	8	2	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
806	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
807	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
808	C₂×D₄	—	2	1	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	1	no	—
813	C₂×D₄	—	2	1	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	8	2	no	—
827	C₂×D₄	—	8	2	no	—
828	C₂×D₄	—	8	2	no	—
829	C₂×D₄	—	8	4	no	—
830	C₂×D₄	C₂×D₄×C₈₉	1	2	yes	—
831	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
832	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
833	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
834	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
843	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
846	Q₁₆	—	4	2	no	—
847	SD₁₆	—	4	2	no	—
848	SD₁₆	—	4	2	no	—
849	SD₁₆	—	4	2	no	—
850	SD₁₆	—	4	2	no	—
851	SD₁₆	—	4	2	no	—
852	M₁₆	—	4	2	no	—
853	C₂×C₈	—	4	2	no	—
854	C₂×C₈	—	4	2	no	—
855	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
856	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
857	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
858	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	1	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	1	no	—
866	C₄⋊C₄	—	2	1	no	—
867	C₄⋊C₄	—	2	1	no	—
868	C₄⋊C₄	—	2	1	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	1	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	1	no	—
878	C₄⋊C₄	—	2	1	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
883	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
884	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
885	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
886	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
887	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
888	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
889	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
890	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
891	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
892	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
893	C₂²⋊C₄	—	2	1	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	1	no	—
901	C₂²⋊C₄	—	2	1	no	—
902	C₂²⋊C₄	—	2	1	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	1	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
909	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
910	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
911	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
912	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	1	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	2	no	—
918	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
919	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
920	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
921	C₄²	C₂⁴×C₈₉	1	2	yes	—
922	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
923	C₂³	—	2	2	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	4	4	no	—
927	C₂³	—	8	2	no	—
928	C₂³	—	8	2	no	—
929	C₂³	—	8	2	no	—
930	C₂³	—	8	2	no	—
931	C₂³	—	8	2	no	—
932	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
933	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
934	Q₈	—	2	2	no	—
935	Q₈	—	2	2	no	—
936	Q₈	—	2	2	no	—
937	Q₈	—	4	1	no	—
938	Q₈	—	8	1	no	—
939	Q₈	—	8	2	no	—
940	D₄	—	2	4	no	—
941	D₄	—	2	2	no	—
942	D₄	—	2	2	no	—
943	D₄	—	2	2	no	—
944	D₄	—	2	2	no	—
945	D₄	—	2	2	no	—
946	D₄	—	4	1	no	—
947	D₄	—	4	2	no	—
948	D₄	—	4	2	no	—
949	D₄	—	4	2	no	—
950	D₄	—	8	2	no	—
951	D₄	—	8	2	no	—
952	D₄	—	8	1	no	—
953	D₄	—	8	2	no	—
954	D₄	—	8	1	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	2	no	—
957	D₄	—	8	2	no	—
958	D₄	—	8	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	4	1	no	—
973	C₂×C₄	—	4	2	no	—
974	C₂×C₄	—	4	2	no	—
975	C₂×C₄	—	8	2	no	—
976	C₂×C₄	—	8	2	no	—
977	C₂×C₄	—	8	2	no	—
978	C₂×C₄	—	8	1	no	—
979	C₂×C₄	—	8	2	no	—
980	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
981	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
982	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
983	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
984	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
985	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
986	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
987	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
988	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
989	C₈	—	2	2	no	—
990	C₈	—	2	2	no	—
991	C₈	—	2	2	no	—
992	C₈	—	2	2	no	—
993	C₂²	—	2	1	no	—
994	C₂²	—	2	1	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	1	no	—
1000	C₂²	—	4	2	no	—
1001	C₂²	—	4	1	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	2	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	1	no	—
1007	C₂²	—	16	4	no	—
1008	C₂²	—	16	4	no	—
1009	C₂²	#577×C₈₉	1	2	yes	—
1010	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1011	C₄	—	2	1	no	—
1012	C₄	—	2	1	no	—
1013	C₄	—	2	2	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	1	no	—
1016	C₄	—	2	2	no	—
1017	C₄	—	2	2	no	—
1018	C₄	—	2	1	no	—
1019	C₄	—	4	2	no	—
1020	C₄	—	4	1	no	—
1021	C₄	—	4	1	no	—
1022	C₄	—	4	2	no	—
1023	C₄	—	4	2	no	—
1024	C₄	—	4	1	no	—
1025	C₄	—	4	2	no	—
1026	C₄	#585×C₈₉	1	2	yes	—
1027	C₂	—	2	2	no	—
1028	C₂	—	4	2	no	—
1029	C₂	—	8	2	no	—
1030	C₂	—	8	2	no	—
1031	C₂	—	8	1	no	—
1032	C₂	C₈₉×#3500	1	1	yes	characteristic
1033	C₂	C₂×#577×C₈₉	1	1	yes	characteristic
1034	C₂	C₈₉×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
prime radical	C₈₉×#3543	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ #529×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3563	C₂	semidirect
3. C₈₉×#3371	C₂	semidirect
4. C₈₉×#3368	C₂	semidirect
5. C₈₉×#3317	C₂	semidirect
6. C₈₉×#3314	C₂	semidirect
7. C₈₉×#3310	C₂	semidirect
8. C₈₉×#3310	C₂	semidirect
9. C₈₉×#3296	C₂	semidirect
10. C₈₉×#3295	C₂	semidirect
11. C₈₉×#3241	C₂	semidirect
12. C₈₉×#3232	C₂	semidirect
13. C₈₉×#3222	C₂	semidirect
14. C₈₉×#3208	C₂	semidirect
15. C₈₉×#3181	C₂	semidirect
16. C₈₉×#3174	C₂	semidirect
17. C₈₉×#3136	C₂	semidirect
18. C₂×#490×C₈₉	C₂	semidirect
19. C₈₉×#2968	C₂	semidirect
24. #557×C₈₉	C₂²	semidirect
25. #554×C₈₉	C₂²	semidirect
27. #552×C₈₉	C₂²	semidirect
28. #552×C₈₉	C₂²	semidirect
37. #544×C₈₉	C₂²	semidirect
39. #541×C₈₉	C₂²	semidirect
46. #533×C₈₉	C₂²	semidirect
50. C₂×#125×C₈₉	C₂²	semidirect
51. #501×C₈₉	C₂²	semidirect
52. #499×C₈₉	C₂²	semidirect
53. #497×C₈₉	C₂²	semidirect
54. #492×C₈₉	C₂²	semidirect
55. #491×C₈₉	C₂²	semidirect
57. #490×C₈₉	C₂²	semidirect
58. #490×C₈₉	C₂²	semidirect
59. #490×C₈₉	C₂²	semidirect
60. #490×C₈₉	C₂²	semidirect
61. #489×C₈₉	C₂²	semidirect
62. #489×C₈₉	C₂²	semidirect
63. #488×C₈₉	C₂²	semidirect
64. #488×C₈₉	C₂²	semidirect
65. #486×C₈₉	C₂²	semidirect
66. #486×C₈₉	C₂²	semidirect
67. #484×C₈₉	C₂²	semidirect
68. #483×C₈₉	C₂²	semidirect
69. #482×C₈₉	C₂²	semidirect
70. #482×C₈₉	C₂²	semidirect
72. #481×C₈₉	C₂²	semidirect
74. #480×C₈₉	C₂²	semidirect
75. #479×C₈₉	C₂²	semidirect
76. #478×C₈₉	C₂²	semidirect
77. #478×C₈₉	C₂²	semidirect
78. #478×C₈₉	C₂²	semidirect
79. #476×C₈₉	C₂²	semidirect
80. #474×C₈₉	C₂²	semidirect
81. #468×C₈₉	C₂²	semidirect
82. #468×C₈₉	C₂²	semidirect
83. #467×C₈₉	C₂²	semidirect
85. #465×C₈₉	C₂²	semidirect
86. #465×C₈₉	C₂²	semidirect
87. #464×C₈₉	C₂²	semidirect
88. #464×C₈₉	C₂²	semidirect
90. #460×C₈₉	C₂²	semidirect
91. #460×C₈₉	C₂²	semidirect
92. #460×C₈₉	C₂²	semidirect
93. #452×C₈₉	C₂²	semidirect
94. #452×C₈₉	C₂²	semidirect
95. #450×C₈₉	C₂²	semidirect
96. #450×C₈₉	C₂²	semidirect
97. #450×C₈₉	C₂²	semidirect
98. #450×C₈₉	C₂²	semidirect
99. #446×C₈₉	C₂²	semidirect
100. #441×C₈₉	C₂²	semidirect
101. #440×C₈₉	C₂²	semidirect
102. #440×C₈₉	C₂²	semidirect
103. #440×C₈₉	C₂²	semidirect
104. C₄×SD₁₆×C₈₉	C₂²	semidirect
105. C₄×SD₁₆×C₈₉	C₂²	semidirect
106. #435×C₈₉	C₂²	semidirect
107. #435×C₈₉	C₂²	semidirect
108. C₈×D₄×C₈₉	C₂²	semidirect
109. #433×C₈₉	C₂²	semidirect
110. #431×C₈₉	C₂²	semidirect
111. #418×C₈₉	C₂²	semidirect
112. #417×C₈₉	C₂²	semidirect
113. #416×C₈₉	C₂²	semidirect
114. C₂×#102×C₈₉	C₂²	semidirect
115. C₂×#102×C₈₉	C₂²	semidirect
116. C₂×#102×C₈₉	C₂²	semidirect
117. #405×C₈₉	C₂²	semidirect
118. C₂×#97×C₈₉	C₂²	semidirect
509. #62596	C₈₉	direct (N × H)
518. #3563	C₂×C₈₉	semidirect
520. #3371	C₂×C₈₉	semidirect
521. #3368	C₂×C₈₉	semidirect
522. #3317	C₂×C₈₉	semidirect
523. #3314	C₂×C₈₉	semidirect
524. #3310	C₂×C₈₉	semidirect
525. #3310	C₂×C₈₉	semidirect
526. #3296	C₂×C₈₉	semidirect
527. #3295	C₂×C₈₉	semidirect
528. #3241	C₂×C₈₉	semidirect
529. #3232	C₂×C₈₉	semidirect
530. #3222	C₂×C₈₉	semidirect
531. #3208	C₂×C₈₉	semidirect
532. #3181	C₂×C₈₉	semidirect
533. #3174	C₂×C₈₉	semidirect
534. #3136	C₂×C₈₉	semidirect
535. C₂×#490	C₂×C₈₉	semidirect
536. #2968	C₂×C₈₉	semidirect
537. C₈₉	#62596	direct (N × H)
542. #557	C₂²×C₈₉	semidirect
543. #554	C₂²×C₈₉	semidirect
545. #552	C₂²×C₈₉	semidirect
546. #552	C₂²×C₈₉	semidirect
555. #544	C₂²×C₈₉	semidirect
557. #541	C₂²×C₈₉	semidirect
564. #533	C₂²×C₈₉	semidirect
568. C₂×#125	C₂²×C₈₉	semidirect
569. #501	C₂²×C₈₉	semidirect
570. #499	C₂²×C₈₉	semidirect
571. #497	C₂²×C₈₉	semidirect
572. #492	C₂²×C₈₉	semidirect
573. #491	C₂²×C₈₉	semidirect
575. #490	C₂²×C₈₉	semidirect
576. #490	C₂²×C₈₉	semidirect
577. #490	C₂²×C₈₉	semidirect
578. #490	C₂²×C₈₉	semidirect
579. #489	C₂²×C₈₉	semidirect
580. #489	C₂²×C₈₉	semidirect
581. #488	C₂²×C₈₉	semidirect
582. #488	C₂²×C₈₉	semidirect
583. #486	C₂²×C₈₉	semidirect
584. #486	C₂²×C₈₉	semidirect
585. #484	C₂²×C₈₉	semidirect
586. #483	C₂²×C₈₉	semidirect
587. #482	C₂²×C₈₉	semidirect
588. #482	C₂²×C₈₉	semidirect
590. #481	C₂²×C₈₉	semidirect
592. #480	C₂²×C₈₉	semidirect
593. #479	C₂²×C₈₉	semidirect
594. #478	C₂²×C₈₉	semidirect
595. #478	C₂²×C₈₉	semidirect
596. #478	C₂²×C₈₉	semidirect
597. #476	C₂²×C₈₉	semidirect
598. #474	C₂²×C₈₉	semidirect
599. #468	C₂²×C₈₉	semidirect
600. #468	C₂²×C₈₉	semidirect
601. #467	C₂²×C₈₉	semidirect
603. #465	C₂²×C₈₉	semidirect
604. #465	C₂²×C₈₉	semidirect
605. #464	C₂²×C₈₉	semidirect
606. #464	C₂²×C₈₉	semidirect
608. #460	C₂²×C₈₉	semidirect
609. #460	C₂²×C₈₉	semidirect
610. #460	C₂²×C₈₉	semidirect
611. #452	C₂²×C₈₉	semidirect
612. #452	C₂²×C₈₉	semidirect
613. #450	C₂²×C₈₉	semidirect
614. #450	C₂²×C₈₉	semidirect
615. #450	C₂²×C₈₉	semidirect
616. #450	C₂²×C₈₉	semidirect
617. #446	C₂²×C₈₉	semidirect
618. #441	C₂²×C₈₉	semidirect
619. #440	C₂²×C₈₉	semidirect
620. #440	C₂²×C₈₉	semidirect
621. #440	C₂²×C₈₉	semidirect
622. C₄×SD₁₆	C₂²×C₈₉	semidirect
623. C₄×SD₁₆	C₂²×C₈₉	semidirect
624. #435	C₂²×C₈₉	semidirect
625. #435	C₂²×C₈₉	semidirect
626. C₈×D₄	C₂²×C₈₉	semidirect
627. #433	C₂²×C₈₉	semidirect
628. #431	C₂²×C₈₉	semidirect
629. #418	C₂²×C₈₉	semidirect
630. #417	C₂²×C₈₉	semidirect
631. #416	C₂²×C₈₉	semidirect
632. C₂×#102	C₂²×C₈₉	semidirect
633. C₂×#102	C₂²×C₈₉	semidirect
634. C₂×#102	C₂²×C₈₉	semidirect
635. #405	C₂²×C₈₉	semidirect
636. C₂×#97	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×#3563	2
C₈₉×#3543	2
C₈₉×#3371	2
C₈₉×#3368	2
C₈₉×#3317	2
C₈₉×#3314	2
C₈₉×#3310	2
C₈₉×#3296	2
C₈₉×#3295	2
C₈₉×#3241	2
C₈₉×#3232	2
C₈₉×#3222	2
C₈₉×#3208	2
C₈₉×#3181	2
C₈₉×#3174	2
C₈₉×#3136	2
C₂×#490×C₈₉	2
C₈₉×#2968	2
#62596	89

Subgroups — C89×#62596 #36440444

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62596 #36440444