Subgroups — C₈₉×#61492 #36439340

Order 22784.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3518	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3349	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3303	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3302	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3300	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3269	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3178	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3170	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3127	C₂	1	2	yes	maximal, complemented
18	C₈₉×#3124	C₂	1	2	yes	maximal, complemented
19	C₈₉×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3116	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×#135×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#137×C₈₉	C₂²	1	2	yes	—
25	C₂×#135×C₈₉	C₂²	1	1	yes	characteristic
26	Q₈²×C₈₉	C₂²	1	1	yes	characteristic
27	#557×C₈₉	C₂²	1	1	yes	characteristic
28	#556×C₈₉	—	2	2	no	—
29	#556×C₈₉	—	2	1	no	—
30	#556×C₈₉	C₂²	1	1	yes	characteristic
31	#556×C₈₉	C₂²	1	2	yes	—
32	#555×C₈₉	—	2	1	no	—
33	#555×C₈₉	C₂²	1	1	yes	characteristic
34	#554×C₈₉	C₂²	1	1	yes	characteristic
35	#554×C₈₉	C₂²	1	1	yes	characteristic
36	#553×C₈₉	—	2	1	no	—
37	#552×C₈₉	—	2	2	no	—
38	#552×C₈₉	—	2	1	no	—
39	#552×C₈₉	C₂²	1	2	yes	—
40	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
41	#548×C₈₉	C₂²	1	2	yes	—
42	#547×C₈₉	C₂²	1	2	yes	—
43	#547×C₈₉	C₂²	1	1	yes	characteristic
44	#542×C₈₉	—	2	2	no	—
45	#542×C₈₉	C₂²	1	2	yes	—
46	#541×C₈₉	C₂²	1	2	yes	—
47	#539×C₈₉	—	2	2	no	—
48	#533×C₈₉	—	2	1	no	—
49	#533×C₈₉	C₂²	1	1	yes	characteristic
50	#533×C₈₉	C₂²	1	1	yes	characteristic
51	#529×C₈₉	—	2	1	no	—
52	#529×C₈₉	—	2	1	no	—
53	#529×C₈₉	C₂²	1	1	yes	characteristic
54	C₂×#125×C₈₉	—	2	1	no	—
55	#520×C₈₉	C₂²	1	2	yes	—
56	#519×C₈₉	C₂²	1	2	yes	—
57	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
58	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
59	#501×C₈₉	C₂²	1	2	yes	—
60	#500×C₈₉	C₂²	1	1	yes	characteristic
61	#497×C₈₉	C₂²	1	2	yes	—
62	#494×C₈₉	C₂²	1	1	yes	characteristic
63	#488×C₈₉	C₂²	1	2	yes	—
64	#487×C₈₉	C₂²	1	1	yes	characteristic
65	#487×C₈₉	C₂²	1	1	yes	characteristic
66	#487×C₈₉	C₂²	1	2	yes	—
67	#485×C₈₉	C₂²	1	2	yes	—
68	#485×C₈₉	C₂²	1	2	yes	—
69	#485×C₈₉	C₂²	1	2	yes	—
70	#485×C₈₉	C₂²	1	2	yes	—
71	#484×C₈₉	C₂²	1	2	yes	—
72	#480×C₈₉	C₂²	1	2	yes	—
73	#479×C₈₉	C₂²	1	2	yes	—
74	#479×C₈₉	C₂²	1	2	yes	—
75	#477×C₈₉	C₂²	1	2	yes	—
76	#477×C₈₉	C₂²	1	1	yes	characteristic
77	#477×C₈₉	C₂²	1	1	yes	characteristic
78	#476×C₈₉	C₂²	1	1	yes	characteristic
79	#476×C₈₉	C₂²	1	1	yes	characteristic
80	#474×C₈₉	C₂²	1	2	yes	—
81	#470×C₈₉	C₂²	1	2	yes	—
82	#468×C₈₉	C₂²	1	2	yes	—
83	#467×C₈₉	C₂²	1	2	yes	—
84	#467×C₈₉	C₂²	1	2	yes	—
85	#467×C₈₉	C₂²	1	2	yes	—
86	#465×C₈₉	C₂²	1	2	yes	—
87	#464×C₈₉	C₂²	1	2	yes	—
88	#463×C₈₉	C₂²	1	2	yes	—
89	#462×C₈₉	C₂²	1	1	yes	characteristic
90	#462×C₈₉	C₂²	1	2	yes	—
91	#462×C₈₉	C₂²	1	1	yes	characteristic
92	#462×C₈₉	C₂²	1	2	yes	—
93	#461×C₈₉	C₂²	1	1	yes	characteristic
94	#461×C₈₉	C₂²	1	1	yes	characteristic
95	#452×C₈₉	C₂²	1	2	yes	—
96	#452×C₈₉	C₂²	1	2	yes	—
97	#452×C₈₉	C₂²	1	2	yes	—
98	#451×C₈₉	C₂²	1	2	yes	—
99	#451×C₈₉	C₂²	1	2	yes	—
100	#449×C₈₉	C₂²	1	2	yes	—
101	#446×C₈₉	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₈₉	C₂²	1	1	yes	characteristic
103	#441×C₈₉	C₂²	1	2	yes	—
104	#441×C₈₉	C₂²	1	2	yes	—
105	#441×C₈₉	C₂²	1	2	yes	—
106	#440×C₈₉	C₂²	1	2	yes	—
107	#440×C₈₉	C₂²	1	2	yes	—
108	#440×C₈₉	C₂²	1	2	yes	—
109	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic
110	C₄×Q₁₆×C₈₉	C₂²	1	2	yes	—
111	C₄×Q₁₆×C₈₉	C₂²	1	2	yes	—
112	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic
113	C₄×Q₁₆×C₈₉	C₂²	1	2	yes	—
114	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic
115	C₄×SD₁₆×C₈₉	C₂²	1	2	yes	—
116	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic
119	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic
120	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic
121	#436×C₈₉	C₂²	1	1	yes	characteristic
122	#435×C₈₉	C₂²	1	2	yes	—
123	C₈×D₄×C₈₉	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₈₉	C₂²	1	2	yes	—
125	#433×C₈₉	C₂²	1	2	yes	—
126	#432×C₈₉	C₂²	1	1	yes	characteristic
127	#428×C₈₉	C₂²	1	2	yes	—
128	#427×C₈₉	C₂²	1	1	yes	characteristic
129	#416×C₈₉	C₂²	1	1	yes	characteristic
130	#416×C₈₉	C₂²	1	1	yes	characteristic
131	#416×C₈₉	C₂²	1	2	yes	—
132	C₂×#103×C₈₉	C₂²	1	2	yes	—
133	#405×C₈₉	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₈₉	C₂³	1	2	yes	—
136	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
137	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
139	#137×C₈₉	—	2	8	no	—
140	#135×C₈₉	—	2	4	no	—
141	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₈₉	C₂³	1	2	yes	—
143	C₂×Q₁₆×C₈₉	C₂³	1	2	yes	—
144	C₂×Q₁₆×C₈₉	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₈₉	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
150	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
151	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
152	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
155	C₄⋊Q₈×C₈₉	—	2	1	no	—
156	C₄⋊Q₈×C₈₉	—	2	1	no	—
157	C₄⋊Q₈×C₈₉	—	2	2	no	—
158	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
160	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
161	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
162	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
164	#126×C₈₉	—	2	2	no	—
165	#126×C₈₉	—	2	2	no	—
166	#126×C₈₉	—	2	2	no	—
167	#126×C₈₉	—	2	2	no	—
168	#126×C₈₉	—	2	2	no	—
169	#126×C₈₉	—	2	2	no	—
170	#126×C₈₉	—	2	2	no	—
171	#126×C₈₉	D₄	1	2	yes	—
172	#125×C₈₉	—	2	2	no	—
173	#125×C₈₉	—	2	2	no	—
174	#125×C₈₉	—	2	1	no	—
175	#125×C₈₉	—	2	1	no	—
176	#125×C₈₉	—	2	2	no	—
177	#125×C₈₉	—	2	2	no	—
178	#125×C₈₉	—	2	1	no	—
179	#125×C₈₉	—	2	1	no	—
180	#125×C₈₉	D₄	1	1	yes	characteristic
181	#125×C₈₉	C₂³	1	2	yes	—
182	#124×C₈₉	—	2	2	no	—
183	#124×C₈₉	—	2	2	no	—
184	#124×C₈₉	—	2	2	no	—
185	#124×C₈₉	—	2	2	no	—
186	#124×C₈₉	D₄	1	1	yes	characteristic
187	#124×C₈₉	C₂³	1	2	yes	—
188	#123×C₈₉	—	2	2	no	—
189	#123×C₈₉	—	2	2	no	—
190	#123×C₈₉	—	2	2	no	—
191	#123×C₈₉	—	2	2	no	—
192	#123×C₈₉	—	2	2	no	—
193	#123×C₈₉	D₄	1	2	yes	—
194	C₂²⋊Q₈×C₈₉	—	2	1	no	—
195	C₂²⋊Q₈×C₈₉	—	2	1	no	—
196	C₂²⋊Q₈×C₈₉	—	2	1	no	—
197	C₂²⋊Q₈×C₈₉	—	2	1	no	—
198	C₂²⋊Q₈×C₈₉	—	2	2	no	—
199	C₂²⋊Q₈×C₈₉	—	2	2	no	—
200	C₂²⋊Q₈×C₈₉	—	2	2	no	—
201	C₂²⋊Q₈×C₈₉	—	2	2	no	—
202	C₂²⋊Q₈×C₈₉	—	2	2	no	—
203	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
204	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
205	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
206	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
207	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
208	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
209	#121×C₈₉	—	2	1	no	—
210	#121×C₈₉	—	2	1	no	—
211	#121×C₈₉	—	2	2	no	—
212	#121×C₈₉	—	2	2	no	—
213	#121×C₈₉	D₄	1	1	yes	characteristic
214	#121×C₈₉	C₂³	1	2	yes	—
215	C₄×Q₈×C₈₉	—	2	1	no	—
216	C₄×Q₈×C₈₉	—	2	1	no	—
217	C₄×Q₈×C₈₉	—	2	2	no	—
218	C₄×Q₈×C₈₉	—	2	2	no	—
219	C₄×Q₈×C₈₉	—	2	2	no	—
220	C₄×Q₈×C₈₉	—	2	1	no	—
221	C₄×Q₈×C₈₉	—	2	1	no	—
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	2	yes	—
229	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
230	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
231	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₈₉	—	2	1	no	—
233	C₄×D₄×C₈₉	—	2	1	no	—
234	C₄×D₄×C₈₉	—	2	1	no	—
235	C₄×D₄×C₈₉	—	2	1	no	—
236	C₄×D₄×C₈₉	—	2	1	no	—
237	C₄×D₄×C₈₉	—	2	1	no	—
238	C₄×D₄×C₈₉	—	2	2	no	—
239	C₄×D₄×C₈₉	—	2	2	no	—
240	C₄×D₄×C₈₉	—	2	2	no	—
241	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₈₉	C₂³	1	2	yes	—
246	C₄×D₄×C₈₉	C₂³	1	2	yes	—
247	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
248	#117×C₈₉	—	2	1	no	—
249	#117×C₈₉	—	2	1	no	—
250	#117×C₈₉	—	2	2	no	—
251	#117×C₈₉	—	2	1	no	—
252	#117×C₈₉	—	2	1	no	—
253	#117×C₈₉	—	2	2	no	—
254	#117×C₈₉	—	2	2	no	—
255	#117×C₈₉	—	2	2	no	—
256	#117×C₈₉	—	2	1	no	—
257	#117×C₈₉	—	2	1	no	—
258	#117×C₈₉	C₂³	1	1	yes	characteristic
259	#117×C₈₉	C₂³	1	1	yes	characteristic
260	#117×C₈₉	C₂³	1	2	yes	—
261	#117×C₈₉	C₂³	1	2	yes	—
262	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
263	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
264	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
265	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
266	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
267	C₂×C₄²×C₈₉	—	2	1	no	—
268	C₂×C₄²×C₈₉	—	2	1	no	—
269	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
270	#107×C₈₉	C₂³	1	1	yes	characteristic
271	#107×C₈₉	C₂³	1	1	yes	characteristic
272	#107×C₈₉	C₂³	1	2	yes	—
273	#107×C₈₉	C₂³	1	2	yes	—
274	#107×C₈₉	C₂³	1	2	yes	—
275	#107×C₈₉	C₂³	1	2	yes	—
276	#106×C₈₉	C₂³	1	1	yes	characteristic
277	#106×C₈₉	C₂³	1	1	yes	characteristic
278	#106×C₈₉	C₂³	1	2	yes	—
279	#106×C₈₉	C₂³	1	2	yes	—
280	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
282	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
283	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
284	#103×C₈₉	C₂³	1	1	yes	characteristic
285	#103×C₈₉	C₂³	1	2	yes	—
286	#103×C₈₉	C₂³	1	2	yes	—
287	#103×C₈₉	C₂³	1	2	yes	—
288	#103×C₈₉	C₂³	1	1	yes	characteristic
289	#103×C₈₉	C₂³	1	1	yes	characteristic
290	#103×C₈₉	C₂³	1	1	yes	characteristic
291	#103×C₈₉	C₂³	1	2	yes	—
292	#103×C₈₉	C₂³	1	2	yes	—
293	#103×C₈₉	C₂³	1	2	yes	—
294	#103×C₈₉	C₂³	1	2	yes	—
295	#103×C₈₉	C₂³	1	2	yes	—
296	#103×C₈₉	C₂³	1	2	yes	—
297	#103×C₈₉	C₂³	1	2	yes	—
298	#102×C₈₉	C₂³	1	1	yes	characteristic
299	#102×C₈₉	C₂³	1	1	yes	characteristic
300	#102×C₈₉	C₂³	1	1	yes	characteristic
301	#102×C₈₉	C₂³	1	1	yes	characteristic
302	#102×C₈₉	C₂³	1	2	yes	—
303	#102×C₈₉	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
307	#97×C₈₉	C₂³	1	2	yes	—
308	#97×C₈₉	C₂³	1	2	yes	—
309	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₈₉	C₂³	1	2	yes	—
314	#41×C₈₉	—	2	2	no	—
315	#41×C₈₉	—	2	2	no	—
316	#41×C₈₉	—	2	4	no	—
317	#41×C₈₉	—	4	2	no	—
318	#41×C₈₉	—	4	1	no	—
319	#41×C₈₉	—	4	1	no	—
320	C₂×Q₈×C₈₉	—	2	2	no	—
321	C₂×Q₈×C₈₉	—	2	1	no	—
322	C₂×Q₈×C₈₉	—	2	1	no	—
323	C₂×Q₈×C₈₉	—	2	2	no	—
324	C₂×Q₈×C₈₉	—	2	4	no	—
325	C₂×Q₈×C₈₉	—	4	2	no	—
326	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₈₉	—	2	1	no	—
332	C₂×D₄×C₈₉	—	2	2	no	—
333	C₂×D₄×C₈₉	—	2	1	no	—
334	C₂×D₄×C₈₉	—	2	2	no	—
335	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
336	C₂×D₄×C₈₉	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₈₉	—	2	2	no	—
340	C₂²×C₄×C₈₉	—	2	2	no	—
341	C₂²×C₄×C₈₉	—	2	1	no	—
342	C₂²×C₄×C₈₉	—	2	1	no	—
343	C₂²×C₄×C₈₉	—	2	1	no	—
344	C₂²×C₄×C₈₉	—	2	1	no	—
345	C₂²×C₄×C₈₉	—	2	2	no	—
346	C₂²×C₄×C₈₉	—	2	1	no	—
347	C₂²×C₄×C₈₉	—	2	1	no	—
348	C₂²×C₄×C₈₉	—	2	2	no	—
349	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
353	Q₁₆×C₈₉	—	2	2	no	—
354	Q₁₆×C₈₉	—	2	4	no	—
355	Q₁₆×C₈₉	—	2	4	no	—
356	Q₁₆×C₈₉	—	4	2	no	—
357	Q₁₆×C₈₉	—	4	2	no	—
358	SD₁₆×C₈₉	—	2	4	no	—
359	SD₁₆×C₈₉	—	2	2	no	—
360	SD₁₆×C₈₉	—	4	2	no	—
361	SD₁₆×C₈₉	#41	1	4	yes	—
362	D₈×C₈₉	—	2	2	no	—
363	M₁₆×C₈₉	—	2	4	no	—
364	C₂×C₈×C₈₉	—	2	2	no	—
365	C₂×C₈×C₈₉	—	4	2	no	—
366	C₂×C₈×C₈₉	—	4	1	no	—
367	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
371	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
372	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₈₉	—	2	2	no	—
374	C₄⋊C₄×C₈₉	—	2	1	no	—
375	C₄⋊C₄×C₈₉	—	2	1	no	—
376	C₄⋊C₄×C₈₉	—	2	2	no	—
377	C₄⋊C₄×C₈₉	—	2	2	no	—
378	C₄⋊C₄×C₈₉	—	2	2	no	—
379	C₄⋊C₄×C₈₉	—	2	2	no	—
380	C₄⋊C₄×C₈₉	—	2	2	no	—
381	C₄⋊C₄×C₈₉	—	2	2	no	—
382	C₄⋊C₄×C₈₉	—	2	2	no	—
383	C₄⋊C₄×C₈₉	—	2	1	no	—
384	C₄⋊C₄×C₈₉	—	2	1	no	—
385	C₄⋊C₄×C₈₉	—	2	1	no	—
386	C₄⋊C₄×C₈₉	—	2	1	no	—
387	C₄⋊C₄×C₈₉	—	2	1	no	—
388	C₄⋊C₄×C₈₉	—	2	1	no	—
389	C₄⋊C₄×C₈₉	—	2	2	no	—
390	C₄⋊C₄×C₈₉	—	2	2	no	—
391	C₄⋊C₄×C₈₉	—	2	2	no	—
392	C₄⋊C₄×C₈₉	—	2	2	no	—
393	C₄⋊C₄×C₈₉	—	2	2	no	—
394	C₄⋊C₄×C₈₉	—	2	1	no	—
395	C₄⋊C₄×C₈₉	—	2	2	no	—
396	C₄⋊C₄×C₈₉	—	2	1	no	—
397	C₄⋊C₄×C₈₉	—	2	2	no	—
398	C₄⋊C₄×C₈₉	—	2	2	no	—
399	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
405	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
411	C₂²⋊C₄×C₈₉	—	2	2	no	—
412	C₂²⋊C₄×C₈₉	—	2	2	no	—
413	C₂²⋊C₄×C₈₉	—	2	2	no	—
414	C₂²⋊C₄×C₈₉	—	2	2	no	—
415	C₂²⋊C₄×C₈₉	—	2	1	no	—
416	C₂²⋊C₄×C₈₉	—	2	1	no	—
417	C₂²⋊C₄×C₈₉	—	2	2	no	—
418	C₂²⋊C₄×C₈₉	—	2	2	no	—
419	C₂²⋊C₄×C₈₉	—	2	1	no	—
420	C₂²⋊C₄×C₈₉	—	2	1	no	—
421	C₂²⋊C₄×C₈₉	—	2	2	no	—
422	C₂²⋊C₄×C₈₉	—	2	1	no	—
423	C₂²⋊C₄×C₈₉	—	2	1	no	—
424	C₂²⋊C₄×C₈₉	—	2	2	no	—
425	C₂²⋊C₄×C₈₉	—	2	2	no	—
426	C₂²⋊C₄×C₈₉	—	2	2	no	—
427	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
428	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
429	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
432	C₄²×C₈₉	—	2	1	no	—
433	C₄²×C₈₉	—	2	1	no	—
434	C₄²×C₈₉	—	2	1	no	—
435	C₄²×C₈₉	—	2	1	no	—
436	C₄²×C₈₉	—	2	1	no	—
437	C₄²×C₈₉	—	2	1	no	—
438	C₄²×C₈₉	—	2	2	no	—
439	C₄²×C₈₉	—	2	2	no	—
440	C₄²×C₈₉	—	2	2	no	—
441	C₄²×C₈₉	—	2	2	no	—
442	C₄²×C₈₉	—	2	2	no	—
443	C₄²×C₈₉	—	2	2	no	—
444	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
447	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
448	C₄²×C₈₉	C₂⁴	1	2	yes	—
449	C₂³×C₈₉	—	2	1	no	—
450	C₂³×C₈₉	—	2	1	no	—
451	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
452	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
453	Q₈×C₈₉	—	2	2	no	—
454	Q₈×C₈₉	—	2	1	no	—
455	Q₈×C₈₉	—	2	2	no	—
456	Q₈×C₈₉	—	2	1	no	—
457	Q₈×C₈₉	—	2	2	no	—
458	Q₈×C₈₉	—	2	2	no	—
459	Q₈×C₈₉	—	2	2	no	—
460	Q₈×C₈₉	—	2	1	no	—
461	Q₈×C₈₉	—	4	4	no	—
462	Q₈×C₈₉	—	8	1	no	—
463	Q₈×C₈₉	—	8	1	no	—
464	Q₈×C₈₉	—	8	2	no	—
465	Q₈×C₈₉	C₂×#41	1	2	yes	—
466	D₄×C₈₉	—	2	2	no	—
467	D₄×C₈₉	—	2	1	no	—
468	D₄×C₈₉	—	2	1	no	—
469	D₄×C₈₉	—	2	1	no	—
470	D₄×C₈₉	—	4	2	no	—
471	D₄×C₈₉	—	4	2	no	—
472	D₄×C₈₉	—	4	4	no	—
473	D₄×C₈₉	—	4	2	no	—
474	D₄×C₈₉	—	8	2	no	—
475	D₄×C₈₉	C₂×#41	1	2	yes	—
476	C₂×C₄×C₈₉	—	2	1	no	—
477	C₂×C₄×C₈₉	—	2	2	no	—
478	C₂×C₄×C₈₉	—	2	1	no	—
479	C₂×C₄×C₈₉	—	2	2	no	—
480	C₂×C₄×C₈₉	—	2	2	no	—
481	C₂×C₄×C₈₉	—	2	1	no	—
482	C₂×C₄×C₈₉	—	2	1	no	—
483	C₂×C₄×C₈₉	—	2	1	no	—
484	C₂×C₄×C₈₉	—	2	2	no	—
485	C₂×C₄×C₈₉	—	2	1	no	—
486	C₂×C₄×C₈₉	—	2	2	no	—
487	C₂×C₄×C₈₉	—	2	1	no	—
488	C₂×C₄×C₈₉	—	2	1	no	—
489	C₂×C₄×C₈₉	—	2	2	no	—
490	C₂×C₄×C₈₉	—	2	2	no	—
491	C₂×C₄×C₈₉	—	4	1	no	—
492	C₂×C₄×C₈₉	—	4	2	no	—
493	C₂×C₄×C₈₉	—	4	4	no	—
494	C₂×C₄×C₈₉	—	4	2	no	—
495	C₂×C₄×C₈₉	—	4	4	no	—
496	C₂×C₄×C₈₉	—	4	2	no	—
497	C₂×C₄×C₈₉	—	4	2	no	—
498	C₂×C₄×C₈₉	—	8	1	no	—
499	C₂×C₄×C₈₉	—	8	1	no	—
500	C₂×C₄×C₈₉	—	8	2	no	—
501	C₂×C₄×C₈₉	—	8	2	no	—
502	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
506	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
507	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
511	C₈×C₈₉	—	2	1	no	—
512	C₈×C₈₉	—	2	2	no	—
513	C₈×C₈₉	—	2	1	no	—
514	C₈×C₈₉	—	2	2	no	—
515	C₈×C₈₉	—	2	1	no	—
516	C₈×C₈₉	C₂×#41	1	2	yes	—
517	C₂²×C₈₉	—	2	1	no	—
518	C₂²×C₈₉	—	2	2	no	—
519	C₂²×C₈₉	—	2	2	no	—
520	C₂²×C₈₉	—	2	1	no	—
521	C₂²×C₈₉	—	2	2	no	—
522	C₂²×C₈₉	—	2	1	no	—
523	C₂²×C₈₉	—	2	2	no	—
524	C₂²×C₈₉	—	4	1	no	—
525	C₂²×C₈₉	—	4	1	no	—
526	C₂²×C₈₉	—	4	1	no	—
527	C₂²×C₈₉	—	4	1	no	—
528	C₂²×C₈₉	—	4	1	no	—
529	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
530	C₄×C₈₉	—	2	1	no	—
531	C₄×C₈₉	—	2	1	no	—
532	C₄×C₈₉	—	2	2	no	—
533	C₄×C₈₉	—	2	1	no	—
534	C₄×C₈₉	—	2	2	no	—
535	C₄×C₈₉	—	2	2	no	—
536	C₄×C₈₉	—	2	1	no	—
537	C₄×C₈₉	—	2	2	no	—
538	C₄×C₈₉	—	4	1	no	—
539	C₄×C₈₉	—	4	2	no	—
540	C₄×C₈₉	—	4	1	no	—
541	C₄×C₈₉	—	4	2	no	—
542	C₄×C₈₉	—	4	1	no	—
543	C₄×C₈₉	—	4	2	no	—
544	C₄×C₈₉	—	4	2	no	—
545	C₄×C₈₉	—	4	1	no	—
546	C₄×C₈₉	—	4	1	no	—
547	C₄×C₈₉	#578	1	2	yes	—
548	C₄×C₈₉	C₂²×#41	1	1	yes	characteristic
549	C₄×C₈₉	#585	1	1	yes	characteristic
550	#61492	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
551	C₂×C₈₉	—	4	1	no	—
552	C₂×C₈₉	—	4	2	no	—
553	C₂×C₈₉	—	4	2	no	—
554	C₂×C₈₉	—	8	1	no	—
555	C₂×C₈₉	D₄×#41	1	1	yes	characteristic
556	C₂×C₈₉	C₂×#578	1	1	yes	characteristic
557	C₂×C₈₉	#3584	1	1	yes	characteristic
558	#3518	C₂×C₈₉	1	1	yes	characteristic, complemented
559	#3515	C₂×C₈₉	1	1	yes	characteristic, complemented
560	#3398	C₂×C₈₉	1	1	yes	characteristic, complemented
561	#3385	C₂×C₈₉	1	1	yes	characteristic, complemented
562	#3363	C₂×C₈₉	1	1	yes	characteristic, complemented
563	#3360	C₂×C₈₉	1	1	yes	characteristic, complemented
564	#3357	C₂×C₈₉	1	1	yes	characteristic, complemented
565	#3349	C₂×C₈₉	1	2	yes	complemented
566	#3303	C₂×C₈₉	1	1	yes	characteristic, complemented
567	#3302	C₂×C₈₉	1	2	yes	complemented
568	#3300	C₂×C₈₉	1	2	yes	complemented
569	#3299	C₂×C₈₉	1	1	yes	characteristic, complemented
570	#3276	C₂×C₈₉	1	1	yes	characteristic, complemented
571	#3269	C₂×C₈₉	1	2	yes	complemented
572	#3178	C₂×C₈₉	1	2	yes	complemented
573	#3170	C₂×C₈₉	1	1	yes	characteristic, complemented
574	#3127	C₂×C₈₉	1	2	yes	complemented
575	#3124	C₂×C₈₉	1	2	yes	complemented
576	#3116	C₂×C₈₉	1	1	yes	characteristic, complemented
577	#3116	C₂×C₈₉	1	1	yes	characteristic, complemented
578	#2966	C₂×C₈₉	1	1	yes	characteristic, complemented
579	#2947	C₂×C₈₉	1	2	yes	complemented
580	C₄×#135	C₂×C₈₉	1	1	yes	characteristic, complemented
581	C₈₉	#61492	1	1	yes	characteristic, direct product factor, Sylow
582	C₂×#137	C₂²×C₈₉	1	2	yes	—
583	C₂×#135	C₂²×C₈₉	1	1	yes	characteristic
584	Q₈²	C₂²×C₈₉	1	1	yes	characteristic
585	#557	C₂²×C₈₉	1	1	yes	characteristic
586	#556	—	2	2	no	—
587	#556	—	2	1	no	—
588	#556	C₂²×C₈₉	1	1	yes	characteristic
589	#556	C₂²×C₈₉	1	2	yes	—
590	#555	—	2	1	no	—
591	#555	C₂²×C₈₉	1	1	yes	characteristic
592	#554	C₂²×C₈₉	1	1	yes	characteristic
593	#554	C₂²×C₈₉	1	1	yes	characteristic
594	#553	—	2	1	no	—
595	#552	—	2	2	no	—
596	#552	—	2	1	no	—
597	#552	C₂²×C₈₉	1	2	yes	—
598	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
599	#548	C₂²×C₈₉	1	2	yes	—
600	#547	C₂²×C₈₉	1	2	yes	—
601	#547	C₂²×C₈₉	1	1	yes	characteristic
602	#542	—	2	2	no	—
603	#542	C₂²×C₈₉	1	2	yes	—
604	#541	C₂²×C₈₉	1	2	yes	—
605	#539	—	2	2	no	—
606	#533	—	2	1	no	—
607	#533	C₂²×C₈₉	1	1	yes	characteristic
608	#533	C₂²×C₈₉	1	1	yes	characteristic
609	#529	—	2	1	no	—
610	#529	—	2	1	no	—
611	#529	C₂²×C₈₉	1	1	yes	characteristic
612	C₂×#125	—	2	1	no	—
613	#520	C₂²×C₈₉	1	2	yes	—
614	#519	C₂²×C₈₉	1	2	yes	—
615	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
616	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
617	#501	C₂²×C₈₉	1	2	yes	—
618	#500	C₂²×C₈₉	1	1	yes	characteristic
619	#497	C₂²×C₈₉	1	2	yes	—
620	#494	C₂²×C₈₉	1	1	yes	characteristic
621	#488	C₂²×C₈₉	1	2	yes	—
622	#487	C₂²×C₈₉	1	1	yes	characteristic
623	#487	C₂²×C₈₉	1	1	yes	characteristic
624	#487	C₂²×C₈₉	1	2	yes	—
625	#485	C₂²×C₈₉	1	2	yes	—
626	#485	C₂²×C₈₉	1	2	yes	—
627	#485	C₂²×C₈₉	1	2	yes	—
628	#485	C₂²×C₈₉	1	2	yes	—
629	#484	C₂²×C₈₉	1	2	yes	—
630	#480	C₂²×C₈₉	1	2	yes	—
631	#479	C₂²×C₈₉	1	2	yes	—
632	#479	C₂²×C₈₉	1	2	yes	—
633	#477	C₂²×C₈₉	1	2	yes	—
634	#477	C₂²×C₈₉	1	1	yes	characteristic
635	#477	C₂²×C₈₉	1	1	yes	characteristic
636	#476	C₂²×C₈₉	1	1	yes	characteristic
637	#476	C₂²×C₈₉	1	1	yes	characteristic
638	#474	C₂²×C₈₉	1	2	yes	—
639	#470	C₂²×C₈₉	1	2	yes	—
640	#468	C₂²×C₈₉	1	2	yes	—
641	#467	C₂²×C₈₉	1	2	yes	—
642	#467	C₂²×C₈₉	1	2	yes	—
643	#467	C₂²×C₈₉	1	2	yes	—
644	#465	C₂²×C₈₉	1	2	yes	—
645	#464	C₂²×C₈₉	1	2	yes	—
646	#463	C₂²×C₈₉	1	2	yes	—
647	#462	C₂²×C₈₉	1	1	yes	characteristic
648	#462	C₂²×C₈₉	1	2	yes	—
649	#462	C₂²×C₈₉	1	1	yes	characteristic
650	#462	C₂²×C₈₉	1	2	yes	—
651	#461	C₂²×C₈₉	1	1	yes	characteristic
652	#461	C₂²×C₈₉	1	1	yes	characteristic
653	#452	C₂²×C₈₉	1	2	yes	—
654	#452	C₂²×C₈₉	1	2	yes	—
655	#452	C₂²×C₈₉	1	2	yes	—
656	#451	C₂²×C₈₉	1	2	yes	—
657	#451	C₂²×C₈₉	1	2	yes	—
658	#449	C₂²×C₈₉	1	2	yes	—
659	#446	C₂²×C₈₉	1	1	yes	characteristic
660	C₈×Q₈	C₂²×C₈₉	1	1	yes	characteristic
661	#441	C₂²×C₈₉	1	2	yes	—
662	#441	C₂²×C₈₉	1	2	yes	—
663	#441	C₂²×C₈₉	1	2	yes	—
664	#440	C₂²×C₈₉	1	2	yes	—
665	#440	C₂²×C₈₉	1	2	yes	—
666	#440	C₂²×C₈₉	1	2	yes	—
667	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic
668	C₄×Q₁₆	C₂²×C₈₉	1	2	yes	—
669	C₄×Q₁₆	C₂²×C₈₉	1	2	yes	—
670	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic
671	C₄×Q₁₆	C₂²×C₈₉	1	2	yes	—
672	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
673	C₄×SD₁₆	C₂²×C₈₉	1	2	yes	—
674	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
675	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
676	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
677	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
678	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
679	#436	C₂²×C₈₉	1	1	yes	characteristic
680	#435	C₂²×C₈₉	1	2	yes	—
681	C₈×D₄	C₂²×C₈₉	1	1	yes	characteristic
682	C₈×D₄	C₂²×C₈₉	1	2	yes	—
683	#433	C₂²×C₈₉	1	2	yes	—
684	#432	C₂²×C₈₉	1	1	yes	characteristic
685	#428	C₂²×C₈₉	1	2	yes	—
686	#427	C₂²×C₈₉	1	1	yes	characteristic
687	#416	C₂²×C₈₉	1	1	yes	characteristic
688	#416	C₂²×C₈₉	1	1	yes	characteristic
689	#416	C₂²×C₈₉	1	2	yes	—
690	C₂×#103	C₂²×C₈₉	1	2	yes	—
691	#405	C₂²×C₈₉	1	2	yes	—
692	C₂×C₄×C₈	C₂²×C₈₉	1	1	yes	characteristic
693	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
694	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
695	C₂×#41	C₂³×C₈₉	1	2	yes	—
696	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
697	#137	—	2	8	no	—
698	#135	—	2	4	no	—
699	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₈₉	1	2	yes	—
701	C₂×Q₁₆	C₂³×C₈₉	1	2	yes	—
702	C₂×Q₁₆	C₂³×C₈₉	1	2	yes	—
703	C₂×Q₁₆	C₂³×C₈₉	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
708	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
710	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	D₄×C₈₉	1	2	yes	—
730	#125	—	2	2	no	—
731	#125	—	2	2	no	—
732	#125	—	2	1	no	—
733	#125	—	2	1	no	—
734	#125	—	2	2	no	—
735	#125	—	2	2	no	—
736	#125	—	2	1	no	—
737	#125	—	2	1	no	—
738	#125	D₄×C₈₉	1	1	yes	characteristic
739	#125	C₂³×C₈₉	1	2	yes	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	D₄×C₈₉	1	1	yes	characteristic
745	#124	C₂³×C₈₉	1	2	yes	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	D₄×C₈₉	1	2	yes	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
766	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	D₄×C₈₉	1	1	yes	characteristic
772	#121	C₂³×C₈₉	1	2	yes	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	2	no	—
776	C₄×Q₈	—	2	2	no	—
777	C₄×Q₈	—	2	2	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
785	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
786	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
787	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
788	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
789	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
801	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
802	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
803	C₄×D₄	C₂³×C₈₉	1	2	yes	—
804	C₄×D₄	C₂³×C₈₉	1	2	yes	—
805	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
806	#117	—	2	1	no	—
807	#117	—	2	1	no	—
808	#117	—	2	2	no	—
809	#117	—	2	1	no	—
810	#117	—	2	1	no	—
811	#117	—	2	2	no	—
812	#117	—	2	2	no	—
813	#117	—	2	2	no	—
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	C₂³×C₈₉	1	1	yes	characteristic
817	#117	C₂³×C₈₉	1	1	yes	characteristic
818	#117	C₂³×C₈₉	1	2	yes	—
819	#117	C₂³×C₈₉	1	2	yes	—
820	C₂×C₄⋊C₄	—	2	2	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	—	2	2	no	—
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
828	#107	C₂³×C₈₉	1	1	yes	characteristic
829	#107	C₂³×C₈₉	1	1	yes	characteristic
830	#107	C₂³×C₈₉	1	2	yes	—
831	#107	C₂³×C₈₉	1	2	yes	—
832	#107	C₂³×C₈₉	1	2	yes	—
833	#107	C₂³×C₈₉	1	2	yes	—
834	#106	C₂³×C₈₉	1	1	yes	characteristic
835	#106	C₂³×C₈₉	1	1	yes	characteristic
836	#106	C₂³×C₈₉	1	2	yes	—
837	#106	C₂³×C₈₉	1	2	yes	—
838	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
840	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
841	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
842	#103	C₂³×C₈₉	1	1	yes	characteristic
843	#103	C₂³×C₈₉	1	2	yes	—
844	#103	C₂³×C₈₉	1	2	yes	—
845	#103	C₂³×C₈₉	1	2	yes	—
846	#103	C₂³×C₈₉	1	1	yes	characteristic
847	#103	C₂³×C₈₉	1	1	yes	characteristic
848	#103	C₂³×C₈₉	1	1	yes	characteristic
849	#103	C₂³×C₈₉	1	2	yes	—
850	#103	C₂³×C₈₉	1	2	yes	—
851	#103	C₂³×C₈₉	1	2	yes	—
852	#103	C₂³×C₈₉	1	2	yes	—
853	#103	C₂³×C₈₉	1	2	yes	—
854	#103	C₂³×C₈₉	1	2	yes	—
855	#103	C₂³×C₈₉	1	2	yes	—
856	#102	C₂³×C₈₉	1	1	yes	characteristic
857	#102	C₂³×C₈₉	1	1	yes	characteristic
858	#102	C₂³×C₈₉	1	1	yes	characteristic
859	#102	C₂³×C₈₉	1	1	yes	characteristic
860	#102	C₂³×C₈₉	1	2	yes	—
861	#102	C₂³×C₈₉	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
865	#97	C₂³×C₈₉	1	2	yes	—
866	#97	C₂³×C₈₉	1	2	yes	—
867	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
870	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₈₉	1	2	yes	—
872	#41	—	2	2	no	—
873	#41	—	2	2	no	—
874	#41	—	2	4	no	—
875	#41	—	4	2	no	—
876	#41	—	4	1	no	—
877	#41	—	4	1	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	4	no	—
883	C₂×Q₈	—	4	2	no	—
884	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
885	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
886	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
887	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
888	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
894	C₂×D₄	C₂×D₄×C₈₉	1	2	yes	—
895	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
896	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	1	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	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
908	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
911	Q₁₆	—	2	2	no	—
912	Q₁₆	—	2	4	no	—
913	Q₁₆	—	2	4	no	—
914	Q₁₆	—	4	2	no	—
915	Q₁₆	—	4	2	no	—
916	SD₁₆	—	2	4	no	—
917	SD₁₆	—	2	2	no	—
918	SD₁₆	—	4	2	no	—
919	SD₁₆	#41×C₈₉	1	4	yes	—
920	D₈	—	2	2	no	—
921	M₁₆	—	2	4	no	—
922	C₂×C₈	—	2	2	no	—
923	C₂×C₈	—	4	2	no	—
924	C₂×C₈	—	4	1	no	—
925	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
927	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
929	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
930	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
958	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
959	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
962	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
967	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1003	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1004	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1005	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1006	C₄²	C₂⁴×C₈₉	1	2	yes	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1010	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	4	4	no	—
1020	Q₈	—	8	1	no	—
1021	Q₈	—	8	1	no	—
1022	Q₈	—	8	2	no	—
1023	Q₈	C₂×#41×C₈₉	1	2	yes	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	1	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	C₂×#41×C₈₉	1	2	yes	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	8	1	no	—
1057	C₂×C₄	—	8	1	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1061	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1064	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1068	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	2	no	—
1073	C₈	—	2	1	no	—
1074	C₈	C₂×#41×C₈₉	1	2	yes	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	#578×C₈₉	1	2	yes	—
1106	C₄	C₂²×#41×C₈₉	1	1	yes	characteristic
1107	C₄	#585×C₈₉	1	1	yes	characteristic
1108	C₂	—	4	1	no	—
1109	C₂	—	4	2	no	—
1110	C₂	—	4	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	D₄×#41×C₈₉	1	1	yes	characteristic
1113	C₂	C₂×#578×C₈₉	1	1	yes	characteristic
1114	C₂	C₈₉×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
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×#3518	C₂	semidirect
2. C₈₉×#3515	C₂	semidirect
3. C₈₉×#3398	C₂	semidirect
4. C₈₉×#3385	C₂	semidirect
5. C₈₉×#3363	C₂	semidirect
6. C₈₉×#3360	C₂	semidirect
7. C₈₉×#3357	C₂	semidirect
8. C₈₉×#3349	C₂	semidirect
9. C₈₉×#3303	C₂	semidirect
10. C₈₉×#3302	C₂	semidirect
11. C₈₉×#3300	C₂	semidirect
12. C₈₉×#3299	C₂	semidirect
13. C₈₉×#3276	C₂	semidirect
14. C₈₉×#3269	C₂	semidirect
15. C₈₉×#3178	C₂	semidirect
16. C₈₉×#3170	C₂	semidirect
17. C₈₉×#3127	C₂	semidirect
18. C₈₉×#3124	C₂	semidirect
19. C₈₉×#3116	C₂	semidirect
20. C₈₉×#3116	C₂	semidirect
21. C₈₉×#2966	C₂	semidirect
22. C₈₉×#2947	C₂	semidirect
23. C₄×#135×C₈₉	C₂	semidirect
550. #61492	C₈₉	direct (N × H)
558. #3518	C₂×C₈₉	semidirect
559. #3515	C₂×C₈₉	semidirect
560. #3398	C₂×C₈₉	semidirect
561. #3385	C₂×C₈₉	semidirect
562. #3363	C₂×C₈₉	semidirect
563. #3360	C₂×C₈₉	semidirect
564. #3357	C₂×C₈₉	semidirect
565. #3349	C₂×C₈₉	semidirect
566. #3303	C₂×C₈₉	semidirect
567. #3302	C₂×C₈₉	semidirect
568. #3300	C₂×C₈₉	semidirect
569. #3299	C₂×C₈₉	semidirect
570. #3276	C₂×C₈₉	semidirect
571. #3269	C₂×C₈₉	semidirect
572. #3178	C₂×C₈₉	semidirect
573. #3170	C₂×C₈₉	semidirect
574. #3127	C₂×C₈₉	semidirect
575. #3124	C₂×C₈₉	semidirect
576. #3116	C₂×C₈₉	semidirect
577. #3116	C₂×C₈₉	semidirect
578. #2966	C₂×C₈₉	semidirect
579. #2947	C₂×C₈₉	semidirect
580. C₄×#135	C₂×C₈₉	semidirect
581. C₈₉	#61492	direct (N × H)

Maximal subgroups

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

subgroup	index
C₈₉×#3518	2
C₈₉×#3515	2
C₈₉×#3398	2
C₈₉×#3385	2
C₈₉×#3363	2
C₈₉×#3360	2
C₈₉×#3357	2
C₈₉×#3349	2
C₈₉×#3303	2
C₈₉×#3302	2
C₈₉×#3300	2
C₈₉×#3299	2
C₈₉×#3276	2
C₈₉×#3269	2
C₈₉×#3178	2
C₈₉×#3170	2
C₈₉×#3127	2
C₈₉×#3124	2
C₈₉×#3116	2
C₈₉×#2966	2
C₈₉×#2947	2
C₄×#135×C₈₉	2
#61492	89

Subgroups — C89×#61492 #36439340

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#61492 #36439340