Subgroups — C₈₉×#62609 #36440457

Order 22784.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1126 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3372	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3360	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3359	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3329	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3329	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3326	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3321	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3320	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3303	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3242	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3221	C₂	1	2	yes	maximal, complemented
18	C₈₉×#3206	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3174	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3139	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3137	C₂	1	2	yes	maximal, complemented
23	C₈₉×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₈₉	—	2	2	no	—
25	#562×C₈₉	—	2	2	no	—
26	#557×C₈₉	C₂²	1	1	yes	characteristic
27	#556×C₈₉	C₂²	1	1	yes	characteristic
28	#555×C₈₉	C₂²	1	2	yes	—
29	#555×C₈₉	C₂²	1	1	yes	characteristic
30	#554×C₈₉	—	2	1	no	—
31	#554×C₈₉	C₂²	1	1	yes	characteristic
32	#553×C₈₉	—	2	1	no	—
33	#553×C₈₉	C₂²	1	2	yes	—
34	#552×C₈₉	—	2	1	no	—
35	D₄×Q₈×C₈₉	C₂²	1	2	yes	—
36	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
38	#548×C₈₉	—	2	1	no	—
39	#548×C₈₉	C₂²	1	2	yes	—
40	#547×C₈₉	C₂²	1	1	yes	characteristic
41	#547×C₈₉	C₂²	1	1	yes	characteristic
42	#544×C₈₉	—	2	1	no	—
43	#544×C₈₉	C₂²	1	2	yes	—
44	#542×C₈₉	—	2	2	no	—
45	#542×C₈₉	—	2	1	no	—
46	#541×C₈₉	C₂²	1	2	yes	—
47	#540×C₈₉	C₂²	1	2	yes	—
48	#539×C₈₉	—	2	2	no	—
49	#537×C₈₉	—	2	1	no	—
50	#536×C₈₉	—	2	1	no	—
51	#536×C₈₉	C₂²	1	2	yes	—
52	#533×C₈₉	C₂²	1	1	yes	characteristic
53	#532×C₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
55	#529×C₈₉	C₂²	1	1	yes	characteristic
56	#529×C₈₉	C₂²	1	1	yes	characteristic
57	#501×C₈₉	C₂²	1	1	yes	characteristic
58	#499×C₈₉	C₂²	1	2	yes	—
59	#496×C₈₉	C₂²	1	1	yes	characteristic
60	#492×C₈₉	C₂²	1	2	yes	—
61	#491×C₈₉	C₂²	1	2	yes	—
62	#491×C₈₉	C₂²	1	2	yes	—
63	#491×C₈₉	C₂²	1	2	yes	—
64	#490×C₈₉	C₂²	1	1	yes	characteristic
65	#489×C₈₉	C₂²	1	2	yes	—
66	#489×C₈₉	C₂²	1	1	yes	characteristic
67	#488×C₈₉	C₂²	1	2	yes	—
68	#488×C₈₉	C₂²	1	2	yes	—
69	#487×C₈₉	C₂²	1	2	yes	—
70	#487×C₈₉	C₂²	1	1	yes	characteristic
71	#487×C₈₉	C₂²	1	1	yes	characteristic
72	#487×C₈₉	C₂²	1	1	yes	characteristic
73	#487×C₈₉	C₂²	1	1	yes	characteristic
74	#487×C₈₉	C₂²	1	2	yes	—
75	#485×C₈₉	C₂²	1	2	yes	—
76	#485×C₈₉	C₂²	1	2	yes	—
77	#485×C₈₉	C₂²	1	2	yes	—
78	#484×C₈₉	C₂²	1	2	yes	—
79	#483×C₈₉	C₂²	1	2	yes	—
80	#482×C₈₉	C₂²	1	2	yes	—
81	#479×C₈₉	C₂²	1	2	yes	—
82	#479×C₈₉	C₂²	1	2	yes	—
83	#477×C₈₉	C₂²	1	2	yes	—
84	#477×C₈₉	C₂²	1	1	yes	characteristic
85	#476×C₈₉	C₂²	1	1	yes	characteristic
86	#475×C₈₉	C₂²	1	2	yes	—
87	#475×C₈₉	C₂²	1	1	yes	characteristic
88	#474×C₈₉	C₂²	1	1	yes	characteristic
89	#469×C₈₉	C₂²	1	1	yes	characteristic
90	#469×C₈₉	C₂²	1	1	yes	characteristic
91	#468×C₈₉	C₂²	1	1	yes	characteristic
92	#468×C₈₉	C₂²	1	2	yes	—
93	#468×C₈₉	C₂²	1	1	yes	characteristic
94	#468×C₈₉	C₂²	1	2	yes	—
95	#465×C₈₉	C₂²	1	2	yes	—
96	#465×C₈₉	C₂²	1	2	yes	—
97	#463×C₈₉	C₂²	1	2	yes	—
98	#463×C₈₉	C₂²	1	2	yes	—
99	#461×C₈₉	C₂²	1	2	yes	—
100	#461×C₈₉	C₂²	1	1	yes	characteristic
101	#461×C₈₉	C₂²	1	2	yes	—
102	#461×C₈₉	C₂²	1	1	yes	characteristic
103	#461×C₈₉	C₂²	1	1	yes	characteristic
104	#461×C₈₉	C₂²	1	1	yes	characteristic
105	#449×C₈₉	C₂²	1	2	yes	—
106	#449×C₈₉	C₂²	1	2	yes	—
107	#448×C₈₉	C₂²	1	2	yes	—
108	#448×C₈₉	C₂²	1	2	yes	—
109	#448×C₈₉	C₂²	1	2	yes	—
110	#448×C₈₉	C₂²	1	2	yes	—
111	#446×C₈₉	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₈₉	C₂²	1	1	yes	characteristic
113	#440×C₈₉	C₂²	1	2	yes	—
114	#440×C₈₉	C₂²	1	2	yes	—
115	C₄×SD₁₆×C₈₉	C₂²	1	2	yes	—
116	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₈₉	C₂²	1	2	yes	—
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	2	yes	—
122	#436×C₈₉	C₂²	1	1	yes	characteristic
123	#435×C₈₉	C₂²	1	2	yes	—
124	C₈×D₄×C₈₉	C₂²	1	1	yes	characteristic
125	#433×C₈₉	C₂²	1	2	yes	—
126	#431×C₈₉	C₂²	1	1	yes	characteristic
127	#419×C₈₉	C₂²	1	2	yes	—
128	#419×C₈₉	C₂²	1	2	yes	—
129	#419×C₈₉	C₂²	1	2	yes	—
130	#417×C₈₉	C₂²	1	2	yes	—
131	#416×C₈₉	C₂²	1	2	yes	—
132	C₂×#103×C₈₉	C₂²	1	2	yes	—
133	#405×C₈₉	C₂²	1	2	yes	—
134	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₈₉	—	2	1	no	—
136	C₂×#41×C₈₉	—	2	1	no	—
137	C₂×#41×C₈₉	C₂³	1	2	yes	—
138	C₂²×Q₈×C₈₉	—	2	1	no	—
139	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
140	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
141	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
142	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
147	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
148	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
149	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
150	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
151	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
152	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
153	C₄⋊Q₈×C₈₉	—	2	2	no	—
154	C₄⋊Q₈×C₈₉	—	2	1	no	—
155	C₄⋊Q₈×C₈₉	—	2	2	no	—
156	C₄⋊Q₈×C₈₉	—	2	1	no	—
157	C₄⋊Q₈×C₈₉	—	2	1	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	2	yes	—
164	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
165	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
166	#127×C₈₉	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
172	#126×C₈₉	D₄	1	2	yes	—
173	#125×C₈₉	—	2	2	no	—
174	#125×C₈₉	—	2	2	no	—
175	#125×C₈₉	—	2	2	no	—
176	#125×C₈₉	—	2	1	no	—
177	#125×C₈₉	—	2	2	no	—
178	#125×C₈₉	D₄	1	1	yes	characteristic
179	#125×C₈₉	C₂³	1	2	yes	—
180	#125×C₈₉	C₂³	1	2	yes	—
181	#125×C₈₉	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
187	#124×C₈₉	D₄	1	1	yes	characteristic
188	#124×C₈₉	C₂³	1	2	yes	—
189	#124×C₈₉	C₂³	1	1	yes	characteristic
190	#123×C₈₉	—	2	1	no	—
191	#123×C₈₉	—	2	2	no	—
192	#123×C₈₉	—	2	2	no	—
193	#123×C₈₉	—	2	2	no	—
194	#123×C₈₉	—	2	2	no	—
195	#123×C₈₉	—	2	2	no	—
196	#123×C₈₉	—	2	2	no	—
197	#123×C₈₉	—	2	2	no	—
198	#123×C₈₉	D₄	1	2	yes	—
199	C₂²⋊Q₈×C₈₉	—	2	1	no	—
200	C₂²⋊Q₈×C₈₉	—	2	1	no	—
201	C₂²⋊Q₈×C₈₉	—	2	1	no	—
202	C₂²⋊Q₈×C₈₉	—	2	1	no	—
203	C₂²⋊Q₈×C₈₉	—	2	1	no	—
204	C₂²⋊Q₈×C₈₉	—	2	2	no	—
205	C₂²⋊Q₈×C₈₉	—	2	2	no	—
206	C₂²⋊Q₈×C₈₉	—	2	1	no	—
207	C₂²⋊Q₈×C₈₉	—	2	2	no	—
208	C₂²⋊Q₈×C₈₉	—	2	2	no	—
209	C₂²⋊Q₈×C₈₉	—	2	2	no	—
210	C₂²⋊Q₈×C₈₉	—	2	2	no	—
211	C₂²⋊Q₈×C₈₉	—	2	2	no	—
212	C₂²⋊Q₈×C₈₉	—	2	2	no	—
213	C₂²⋊Q₈×C₈₉	—	2	2	no	—
214	C₂²⋊Q₈×C₈₉	—	2	2	no	—
215	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
216	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
217	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
218	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
219	#121×C₈₉	—	2	1	no	—
220	#121×C₈₉	—	2	2	no	—
221	#121×C₈₉	—	2	2	no	—
222	#121×C₈₉	—	2	2	no	—
223	#121×C₈₉	—	2	1	no	—
224	#121×C₈₉	—	2	1	no	—
225	#121×C₈₉	—	2	2	no	—
226	#121×C₈₉	—	2	2	no	—
227	#121×C₈₉	D₄	1	1	yes	characteristic
228	#121×C₈₉	C₂³	1	1	yes	characteristic
229	#121×C₈₉	C₂³	1	1	yes	characteristic
230	#121×C₈₉	C₂³	1	2	yes	—
231	#121×C₈₉	C₂³	1	2	yes	—
232	#121×C₈₉	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₈₉	—	2	1	no	—
234	C₄×Q₈×C₈₉	—	2	1	no	—
235	C₄×Q₈×C₈₉	—	2	1	no	—
236	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
238	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₈₉	—	2	2	no	—
241	C₄×D₄×C₈₉	—	2	1	no	—
242	C₄×D₄×C₈₉	—	2	1	no	—
243	C₄×D₄×C₈₉	—	2	2	no	—
244	C₄×D₄×C₈₉	—	2	2	no	—
245	C₄×D₄×C₈₉	—	2	1	no	—
246	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₈₉	C₂³	1	2	yes	—
250	C₄×D₄×C₈₉	C₂³	1	2	yes	—
251	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₈₉	C₂³	1	2	yes	—
253	#117×C₈₉	—	2	1	no	—
254	#117×C₈₉	—	2	2	no	—
255	#117×C₈₉	—	2	1	no	—
256	#117×C₈₉	—	2	1	no	—
257	#117×C₈₉	C₂³	1	2	yes	—
258	#117×C₈₉	C₂³	1	2	yes	—
259	#117×C₈₉	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
261	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
262	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
263	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
264	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
265	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
266	#107×C₈₉	C₂³	1	1	yes	characteristic
267	#107×C₈₉	C₂³	1	1	yes	characteristic
268	#107×C₈₉	C₂³	1	2	yes	—
269	#107×C₈₉	C₂³	1	2	yes	—
270	#106×C₈₉	C₂³	1	2	yes	—
271	#106×C₈₉	C₂³	1	2	yes	—
272	#106×C₈₉	C₂³	1	1	yes	characteristic
273	#106×C₈₉	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
276	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
277	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
278	#103×C₈₉	C₂³	1	1	yes	characteristic
279	#103×C₈₉	C₂³	1	2	yes	—
280	#103×C₈₉	C₂³	1	2	yes	—
281	#103×C₈₉	C₂³	1	2	yes	—
282	#103×C₈₉	C₂³	1	2	yes	—
283	#103×C₈₉	C₂³	1	2	yes	—
284	#103×C₈₉	C₂³	1	2	yes	—
285	#103×C₈₉	C₂³	1	2	yes	—
286	#103×C₈₉	C₂³	1	1	yes	characteristic
287	#103×C₈₉	C₂³	1	2	yes	—
288	#103×C₈₉	C₂³	1	2	yes	—
289	#103×C₈₉	C₂³	1	2	yes	—
290	#103×C₈₉	C₂³	1	2	yes	—
291	#103×C₈₉	C₂³	1	2	yes	—
292	#103×C₈₉	C₂³	1	2	yes	—
293	#103×C₈₉	C₂³	1	2	yes	—
294	#102×C₈₉	C₂³	1	1	yes	characteristic
295	#102×C₈₉	C₂³	1	2	yes	—
296	#102×C₈₉	C₂³	1	1	yes	characteristic
297	#102×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	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
303	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₈₉	C₂³	1	2	yes	—
305	#97×C₈₉	C₂³	1	1	yes	characteristic
306	#97×C₈₉	C₂³	1	1	yes	characteristic
307	#97×C₈₉	C₂³	1	2	yes	—
308	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₈₉	C₂³	1	2	yes	—
311	C₄×C₈×C₈₉	C₂³	1	2	yes	—
312	#41×C₈₉	—	4	2	no	—
313	#41×C₈₉	—	4	2	no	—
314	#41×C₈₉	—	8	2	no	—
315	#41×C₈₉	—	8	2	no	—
316	C₂×Q₈×C₈₉	—	2	1	no	—
317	C₂×Q₈×C₈₉	—	2	1	no	—
318	C₂×Q₈×C₈₉	—	2	2	no	—
319	C₂×Q₈×C₈₉	—	2	2	no	—
320	C₂×Q₈×C₈₉	—	2	2	no	—
321	C₂×Q₈×C₈₉	—	2	1	no	—
322	C₂×Q₈×C₈₉	—	4	2	no	—
323	C₂×Q₈×C₈₉	—	4	2	no	—
324	C₂×Q₈×C₈₉	—	4	2	no	—
325	C₂×Q₈×C₈₉	—	4	2	no	—
326	C₂×Q₈×C₈₉	—	8	2	no	—
327	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
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	—	2	1	no	—
336	C₂×D₄×C₈₉	—	2	2	no	—
337	C₂×D₄×C₈₉	—	2	1	no	—
338	C₂×D₄×C₈₉	—	2	1	no	—
339	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₈₉	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
343	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₈₉	—	2	2	no	—
345	C₂²×C₄×C₈₉	—	2	2	no	—
346	C₂²×C₄×C₈₉	—	2	2	no	—
347	C₂²×C₄×C₈₉	—	2	1	no	—
348	C₂²×C₄×C₈₉	—	2	1	no	—
349	C₂²×C₄×C₈₉	—	2	1	no	—
350	C₂²×C₄×C₈₉	—	2	2	no	—
351	C₂²×C₄×C₈₉	—	2	2	no	—
352	C₂²×C₄×C₈₉	—	2	2	no	—
353	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
357	SD₁₆×C₈₉	—	4	2	no	—
358	SD₁₆×C₈₉	—	4	2	no	—
359	SD₁₆×C₈₉	—	4	1	no	—
360	SD₁₆×C₈₉	—	4	1	no	—
361	SD₁₆×C₈₉	—	4	2	no	—
362	SD₁₆×C₈₉	—	4	2	no	—
363	D₈×C₈₉	—	4	1	no	—
364	D₈×C₈₉	—	4	1	no	—
365	M₁₆×C₈₉	—	4	1	no	—
366	M₁₆×C₈₉	—	4	1	no	—
367	M₁₆×C₈₉	—	4	2	no	—
368	C₂×C₈×C₈₉	—	4	2	no	—
369	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
371	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
373	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₈₉	—	2	1	no	—
376	C₄⋊C₄×C₈₉	—	2	1	no	—
377	C₄⋊C₄×C₈₉	—	2	1	no	—
378	C₄⋊C₄×C₈₉	—	2	2	no	—
379	C₄⋊C₄×C₈₉	—	2	1	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	2	no	—
385	C₄⋊C₄×C₈₉	—	2	2	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	1	no	—
393	C₄⋊C₄×C₈₉	—	2	2	no	—
394	C₄⋊C₄×C₈₉	—	2	2	no	—
395	C₄⋊C₄×C₈₉	—	2	1	no	—
396	C₄⋊C₄×C₈₉	—	2	2	no	—
397	C₄⋊C₄×C₈₉	—	2	2	no	—
398	C₄⋊C₄×C₈₉	—	2	2	no	—
399	C₄⋊C₄×C₈₉	—	2	1	no	—
400	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
411	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
412	C₂²⋊C₄×C₈₉	—	2	2	no	—
413	C₂²⋊C₄×C₈₉	—	2	2	no	—
414	C₂²⋊C₄×C₈₉	—	2	1	no	—
415	C₂²⋊C₄×C₈₉	—	2	2	no	—
416	C₂²⋊C₄×C₈₉	—	2	2	no	—
417	C₂²⋊C₄×C₈₉	—	2	1	no	—
418	C₂²⋊C₄×C₈₉	—	2	2	no	—
419	C₂²⋊C₄×C₈₉	—	2	1	no	—
420	C₂²⋊C₄×C₈₉	—	2	2	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	1	no	—
425	C₂²⋊C₄×C₈₉	—	2	2	no	—
426	C₂²⋊C₄×C₈₉	—	2	2	no	—
427	C₂²⋊C₄×C₈₉	—	2	1	no	—
428	C₂²⋊C₄×C₈₉	—	2	2	no	—
429	C₂²⋊C₄×C₈₉	—	2	1	no	—
430	C₂²⋊C₄×C₈₉	—	2	1	no	—
431	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
436	C₄²×C₈₉	—	2	2	no	—
437	C₄²×C₈₉	—	2	2	no	—
438	C₄²×C₈₉	—	2	1	no	—
439	C₄²×C₈₉	—	2	2	no	—
440	C₄²×C₈₉	—	2	2	no	—
441	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
444	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
445	C₄²×C₈₉	C₂⁴	1	2	yes	—
446	C₂³×C₈₉	—	2	1	no	—
447	C₂³×C₈₉	—	2	1	no	—
448	C₂³×C₈₉	—	2	1	no	—
449	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
450	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
451	Q₈×C₈₉	—	2	2	no	—
452	Q₈×C₈₉	—	2	2	no	—
453	Q₈×C₈₉	—	2	1	no	—
454	Q₈×C₈₉	—	2	1	no	—
455	Q₈×C₈₉	—	2	2	no	—
456	Q₈×C₈₉	—	2	2	no	—
457	Q₈×C₈₉	—	2	2	no	—
458	Q₈×C₈₉	—	4	2	no	—
459	Q₈×C₈₉	—	8	1	no	—
460	Q₈×C₈₉	—	8	2	no	—
461	Q₈×C₈₉	—	8	2	no	—
462	Q₈×C₈₉	—	8	2	no	—
463	Q₈×C₈₉	—	8	1	no	—
464	D₄×C₈₉	—	2	2	no	—
465	D₄×C₈₉	—	2	1	no	—
466	D₄×C₈₉	—	2	1	no	—
467	D₄×C₈₉	—	2	1	no	—
468	D₄×C₈₉	—	2	1	no	—
469	D₄×C₈₉	—	2	1	no	—
470	D₄×C₈₉	—	2	1	no	—
471	D₄×C₈₉	—	4	2	no	—
472	D₄×C₈₉	—	4	2	no	—
473	D₄×C₈₉	—	8	1	no	—
474	D₄×C₈₉	—	8	1	no	—
475	D₄×C₈₉	—	8	2	no	—
476	D₄×C₈₉	—	8	2	no	—
477	D₄×C₈₉	—	8	1	no	—
478	D₄×C₈₉	—	8	1	no	—
479	D₄×C₈₉	—	8	2	no	—
480	C₂×C₄×C₈₉	—	2	2	no	—
481	C₂×C₄×C₈₉	—	2	2	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	1	no	—
487	C₂×C₄×C₈₉	—	2	2	no	—
488	C₂×C₄×C₈₉	—	2	1	no	—
489	C₂×C₄×C₈₉	—	2	1	no	—
490	C₂×C₄×C₈₉	—	2	2	no	—
491	C₂×C₄×C₈₉	—	2	2	no	—
492	C₂×C₄×C₈₉	—	2	2	no	—
493	C₂×C₄×C₈₉	—	2	1	no	—
494	C₂×C₄×C₈₉	—	4	1	no	—
495	C₂×C₄×C₈₉	—	4	2	no	—
496	C₂×C₄×C₈₉	—	4	2	no	—
497	C₂×C₄×C₈₉	—	4	2	no	—
498	C₂×C₄×C₈₉	—	8	2	no	—
499	C₂×C₄×C₈₉	—	8	2	no	—
500	C₂×C₄×C₈₉	—	8	2	no	—
501	C₂×C₄×C₈₉	—	8	2	no	—
502	C₂×C₄×C₈₉	—	8	2	no	—
503	C₂×C₄×C₈₉	—	8	2	no	—
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	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
513	C₈×C₈₉	—	2	1	no	—
514	C₈×C₈₉	—	2	2	no	—
515	C₈×C₈₉	—	2	1	no	—
516	C₈×C₈₉	—	2	1	no	—
517	C₈×C₈₉	—	2	1	no	—
518	C₈×C₈₉	—	2	2	no	—
519	C₂²×C₈₉	—	2	1	no	—
520	C₂²×C₈₉	—	2	2	no	—
521	C₂²×C₈₉	—	2	1	no	—
522	C₂²×C₈₉	—	2	2	no	—
523	C₂²×C₈₉	—	2	1	no	—
524	C₂²×C₈₉	—	2	2	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	—	4	1	no	—
530	C₂²×C₈₉	—	4	1	no	—
531	C₂²×C₈₉	—	4	1	no	—
532	C₂²×C₈₉	—	4	1	no	—
533	C₂²×C₈₉	—	4	1	no	—
534	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
535	C₄×C₈₉	—	2	1	no	—
536	C₄×C₈₉	—	2	1	no	—
537	C₄×C₈₉	—	2	2	no	—
538	C₄×C₈₉	—	2	2	no	—
539	C₄×C₈₉	—	2	1	no	—
540	C₄×C₈₉	—	2	1	no	—
541	C₄×C₈₉	—	2	2	no	—
542	C₄×C₈₉	—	4	2	no	—
543	C₄×C₈₉	—	4	1	no	—
544	C₄×C₈₉	—	4	2	no	—
545	C₄×C₈₉	—	4	1	no	—
546	C₄×C₈₉	—	4	2	no	—
547	C₄×C₈₉	—	4	1	no	—
548	C₄×C₈₉	—	4	1	no	—
549	C₄×C₈₉	—	4	1	no	—
550	C₄×C₈₉	—	4	2	no	—
551	C₄×C₈₉	#577	1	2	yes	—
552	C₄×C₈₉	#585	1	1	yes	characteristic
553	C₄×C₈₉	#585	1	1	yes	characteristic
554	#62609	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
555	C₂×C₈₉	—	4	1	no	—
556	C₂×C₈₉	—	4	2	no	—
557	C₂×C₈₉	—	8	1	no	—
558	C₂×C₈₉	—	8	1	no	—
559	C₂×C₈₉	—	8	1	no	—
560	C₂×C₈₉	#3500	1	1	yes	characteristic
561	C₂×C₈₉	C₂×#577	1	1	yes	characteristic
562	C₂×C₈₉	#3586	1	1	yes	characteristic
563	#3552	C₂×C₈₉	1	1	yes	characteristic, complemented
564	#3547	C₂×C₈₉	1	1	yes	characteristic, complemented
565	#3372	C₂×C₈₉	1	1	yes	characteristic, complemented
566	#3367	C₂×C₈₉	1	1	yes	characteristic, complemented
567	#3360	C₂×C₈₉	1	1	yes	characteristic, complemented
568	#3359	C₂×C₈₉	1	1	yes	characteristic, complemented
569	#3330	C₂×C₈₉	1	1	yes	characteristic, complemented
570	#3329	C₂×C₈₉	1	1	yes	characteristic, complemented
571	#3329	C₂×C₈₉	1	2	yes	complemented
572	#3326	C₂×C₈₉	1	2	yes	complemented
573	#3321	C₂×C₈₉	1	2	yes	complemented
574	#3320	C₂×C₈₉	1	2	yes	complemented
575	#3303	C₂×C₈₉	1	1	yes	characteristic, complemented
576	#3298	C₂×C₈₉	1	1	yes	characteristic, complemented
577	#3242	C₂×C₈₉	1	2	yes	complemented
578	#3233	C₂×C₈₉	1	1	yes	characteristic, complemented
579	#3221	C₂×C₈₉	1	2	yes	complemented
580	#3206	C₂×C₈₉	1	1	yes	characteristic, complemented
581	#3174	C₂×C₈₉	1	2	yes	complemented
582	#3171	C₂×C₈₉	1	1	yes	characteristic, complemented
583	#3139	C₂×C₈₉	1	1	yes	characteristic, complemented
584	#3137	C₂×C₈₉	1	2	yes	complemented
585	#2969	C₂×C₈₉	1	1	yes	characteristic, complemented
586	C₈₉	#62609	1	1	yes	characteristic, direct product factor, Sylow
587	#563	—	2	2	no	—
588	#562	—	2	2	no	—
589	#557	C₂²×C₈₉	1	1	yes	characteristic
590	#556	C₂²×C₈₉	1	1	yes	characteristic
591	#555	C₂²×C₈₉	1	1	yes	characteristic
592	#555	C₂²×C₈₉	1	2	yes	—
593	#554	—	2	1	no	—
594	#554	C₂²×C₈₉	1	1	yes	characteristic
595	#553	—	2	1	no	—
596	#553	C₂²×C₈₉	1	2	yes	—
597	#552	—	2	1	no	—
598	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
599	D₄×Q₈	C₂²×C₈₉	1	2	yes	—
600	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
601	#548	—	2	1	no	—
602	#548	C₂²×C₈₉	1	2	yes	—
603	#547	C₂²×C₈₉	1	1	yes	characteristic
604	#547	C₂²×C₈₉	1	1	yes	characteristic
605	#544	—	2	1	no	—
606	#544	C₂²×C₈₉	1	2	yes	—
607	#542	—	2	2	no	—
608	#542	—	2	1	no	—
609	#541	C₂²×C₈₉	1	2	yes	—
610	#540	C₂²×C₈₉	1	2	yes	—
611	#539	—	2	2	no	—
612	#537	—	2	1	no	—
613	#536	—	2	1	no	—
614	#536	C₂²×C₈₉	1	2	yes	—
615	#533	C₂²×C₈₉	1	1	yes	characteristic
616	#532	C₂²×C₈₉	1	1	yes	characteristic
617	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
618	#529	C₂²×C₈₉	1	1	yes	characteristic
619	#529	C₂²×C₈₉	1	1	yes	characteristic
620	#501	C₂²×C₈₉	1	1	yes	characteristic
621	#499	C₂²×C₈₉	1	2	yes	—
622	#496	C₂²×C₈₉	1	1	yes	characteristic
623	#492	C₂²×C₈₉	1	2	yes	—
624	#491	C₂²×C₈₉	1	2	yes	—
625	#491	C₂²×C₈₉	1	2	yes	—
626	#491	C₂²×C₈₉	1	2	yes	—
627	#490	C₂²×C₈₉	1	1	yes	characteristic
628	#489	C₂²×C₈₉	1	2	yes	—
629	#489	C₂²×C₈₉	1	1	yes	characteristic
630	#488	C₂²×C₈₉	1	2	yes	—
631	#488	C₂²×C₈₉	1	2	yes	—
632	#487	C₂²×C₈₉	1	2	yes	—
633	#487	C₂²×C₈₉	1	1	yes	characteristic
634	#487	C₂²×C₈₉	1	1	yes	characteristic
635	#487	C₂²×C₈₉	1	1	yes	characteristic
636	#487	C₂²×C₈₉	1	1	yes	characteristic
637	#487	C₂²×C₈₉	1	2	yes	—
638	#485	C₂²×C₈₉	1	2	yes	—
639	#485	C₂²×C₈₉	1	2	yes	—
640	#485	C₂²×C₈₉	1	2	yes	—
641	#484	C₂²×C₈₉	1	2	yes	—
642	#483	C₂²×C₈₉	1	2	yes	—
643	#482	C₂²×C₈₉	1	2	yes	—
644	#479	C₂²×C₈₉	1	2	yes	—
645	#479	C₂²×C₈₉	1	2	yes	—
646	#477	C₂²×C₈₉	1	2	yes	—
647	#477	C₂²×C₈₉	1	1	yes	characteristic
648	#476	C₂²×C₈₉	1	1	yes	characteristic
649	#475	C₂²×C₈₉	1	1	yes	characteristic
650	#475	C₂²×C₈₉	1	2	yes	—
651	#474	C₂²×C₈₉	1	1	yes	characteristic
652	#469	C₂²×C₈₉	1	1	yes	characteristic
653	#469	C₂²×C₈₉	1	1	yes	characteristic
654	#468	C₂²×C₈₉	1	1	yes	characteristic
655	#468	C₂²×C₈₉	1	2	yes	—
656	#468	C₂²×C₈₉	1	2	yes	—
657	#468	C₂²×C₈₉	1	1	yes	characteristic
658	#465	C₂²×C₈₉	1	2	yes	—
659	#465	C₂²×C₈₉	1	2	yes	—
660	#463	C₂²×C₈₉	1	2	yes	—
661	#463	C₂²×C₈₉	1	2	yes	—
662	#461	C₂²×C₈₉	1	1	yes	characteristic
663	#461	C₂²×C₈₉	1	2	yes	—
664	#461	C₂²×C₈₉	1	1	yes	characteristic
665	#461	C₂²×C₈₉	1	1	yes	characteristic
666	#461	C₂²×C₈₉	1	2	yes	—
667	#461	C₂²×C₈₉	1	1	yes	characteristic
668	#449	C₂²×C₈₉	1	2	yes	—
669	#449	C₂²×C₈₉	1	2	yes	—
670	#448	C₂²×C₈₉	1	2	yes	—
671	#448	C₂²×C₈₉	1	2	yes	—
672	#448	C₂²×C₈₉	1	2	yes	—
673	#448	C₂²×C₈₉	1	2	yes	—
674	#446	C₂²×C₈₉	1	1	yes	characteristic
675	C₈×Q₈	C₂²×C₈₉	1	1	yes	characteristic
676	#440	C₂²×C₈₉	1	2	yes	—
677	#440	C₂²×C₈₉	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
679	C₄×SD₁₆	C₂²×C₈₉	1	2	yes	—
680	C₄×SD₁₆	C₂²×C₈₉	1	2	yes	—
681	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic
682	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
683	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic
684	#436	C₂²×C₈₉	1	1	yes	characteristic
685	#436	C₂²×C₈₉	1	2	yes	—
686	#435	C₂²×C₈₉	1	2	yes	—
687	C₈×D₄	C₂²×C₈₉	1	1	yes	characteristic
688	#433	C₂²×C₈₉	1	2	yes	—
689	#431	C₂²×C₈₉	1	1	yes	characteristic
690	#419	C₂²×C₈₉	1	2	yes	—
691	#419	C₂²×C₈₉	1	2	yes	—
692	#419	C₂²×C₈₉	1	2	yes	—
693	#417	C₂²×C₈₉	1	2	yes	—
694	#416	C₂²×C₈₉	1	2	yes	—
695	C₂×#103	C₂²×C₈₉	1	2	yes	—
696	#405	C₂²×C₈₉	1	2	yes	—
697	C₄×M₁₆	C₂²×C₈₉	1	1	yes	characteristic
698	C₂×#41	—	2	1	no	—
699	C₂×#41	—	2	1	no	—
700	C₂×#41	C₂³×C₈₉	1	2	yes	—
701	C₂²×Q₈	—	2	1	no	—
702	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
703	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
710	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
711	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
712	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
713	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
714	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
715	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	2	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
722	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
725	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
729	#127	C₂³×C₈₉	1	1	yes	characteristic
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	—	2	1	no	—
735	#126	D₄×C₈₉	1	2	yes	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	2	no	—
739	#125	—	2	1	no	—
740	#125	—	2	2	no	—
741	#125	D₄×C₈₉	1	1	yes	characteristic
742	#125	C₂³×C₈₉	1	1	yes	characteristic
743	#125	C₂³×C₈₉	1	2	yes	—
744	#125	C₂³×C₈₉	1	2	yes	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	2	no	—
749	#124	—	2	1	no	—
750	#124	D₄×C₈₉	1	1	yes	characteristic
751	#124	C₂³×C₈₉	1	1	yes	characteristic
752	#124	C₂³×C₈₉	1	2	yes	—
753	#123	—	2	1	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	D₄×C₈₉	1	2	yes	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
780	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
781	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	—	2	2	no	—
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	D₄×C₈₉	1	1	yes	characteristic
791	#121	C₂³×C₈₉	1	1	yes	characteristic
792	#121	C₂³×C₈₉	1	1	yes	characteristic
793	#121	C₂³×C₈₉	1	1	yes	characteristic
794	#121	C₂³×C₈₉	1	2	yes	—
795	#121	C₂³×C₈₉	1	2	yes	—
796	C₄×Q₈	—	2	1	no	—
797	C₄×Q₈	—	2	1	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
801	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
802	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
812	C₄×D₄	C₂³×C₈₉	1	2	yes	—
813	C₄×D₄	C₂³×C₈₉	1	2	yes	—
814	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₈₉	1	2	yes	—
816	#117	—	2	1	no	—
817	#117	—	2	2	no	—
818	#117	—	2	1	no	—
819	#117	—	2	1	no	—
820	#117	C₂³×C₈₉	1	2	yes	—
821	#117	C₂³×C₈₉	1	2	yes	—
822	#117	C₂³×C₈₉	1	2	yes	—
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	—	2	1	no	—
827	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
828	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
829	#107	C₂³×C₈₉	1	1	yes	characteristic
830	#107	C₂³×C₈₉	1	1	yes	characteristic
831	#107	C₂³×C₈₉	1	2	yes	—
832	#107	C₂³×C₈₉	1	2	yes	—
833	#106	C₂³×C₈₉	1	2	yes	—
834	#106	C₂³×C₈₉	1	2	yes	—
835	#106	C₂³×C₈₉	1	1	yes	characteristic
836	#106	C₂³×C₈₉	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
840	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
841	#103	C₂³×C₈₉	1	1	yes	characteristic
842	#103	C₂³×C₈₉	1	2	yes	—
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	2	yes	—
847	#103	C₂³×C₈₉	1	2	yes	—
848	#103	C₂³×C₈₉	1	2	yes	—
849	#103	C₂³×C₈₉	1	1	yes	characteristic
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	#103	C₂³×C₈₉	1	2	yes	—
857	#102	C₂³×C₈₉	1	1	yes	characteristic
858	#102	C₂³×C₈₉	1	2	yes	—
859	#102	C₂³×C₈₉	1	1	yes	characteristic
860	#102	C₂³×C₈₉	1	2	yes	—
861	#102	C₂³×C₈₉	1	1	yes	characteristic
862	#102	C₂³×C₈₉	1	1	yes	characteristic
863	#102	C₂³×C₈₉	1	1	yes	characteristic
864	#102	C₂³×C₈₉	1	1	yes	characteristic
865	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
867	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
868	#97	C₂³×C₈₉	1	1	yes	characteristic
869	#97	C₂³×C₈₉	1	1	yes	characteristic
870	#97	C₂³×C₈₉	1	2	yes	—
871	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
872	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
873	C₄×C₈	C₂³×C₈₉	1	2	yes	—
874	C₄×C₈	C₂³×C₈₉	1	2	yes	—
875	#41	—	4	2	no	—
876	#41	—	4	2	no	—
877	#41	—	8	2	no	—
878	#41	—	8	2	no	—
879	C₂×Q₈	—	2	1	no	—
880	C₂×Q₈	—	2	1	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	2	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	4	2	no	—
886	C₂×Q₈	—	4	2	no	—
887	C₂×Q₈	—	4	2	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	—	8	2	no	—
890	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
891	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
893	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
903	C₂×D₄	C₂×D₄×C₈₉	1	2	yes	—
904	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
905	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
906	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
917	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
920	SD₁₆	—	4	2	no	—
921	SD₁₆	—	4	2	no	—
922	SD₁₆	—	4	1	no	—
923	SD₁₆	—	4	1	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	D₈	—	4	1	no	—
927	D₈	—	4	1	no	—
928	M₁₆	—	4	1	no	—
929	M₁₆	—	4	1	no	—
930	M₁₆	—	4	2	no	—
931	C₂×C₈	—	4	2	no	—
932	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
933	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
934	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
936	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
965	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
966	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
967	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
968	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
969	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
970	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1005	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1006	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1008	C₄²	C₂⁴×C₈₉	1	2	yes	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
1013	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1014	Q₈	—	2	2	no	—
1015	Q₈	—	2	2	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	2	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	2	2	no	—
1021	Q₈	—	4	2	no	—
1022	Q₈	—	8	1	no	—
1023	Q₈	—	8	2	no	—
1024	Q₈	—	8	2	no	—
1025	Q₈	—	8	2	no	—
1026	Q₈	—	8	1	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	8	1	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	1	no	—
1041	D₄	—	8	1	no	—
1042	D₄	—	8	2	no	—
1043	C₂×C₄	—	2	2	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	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	8	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1071	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1075	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1076	C₈	—	2	1	no	—
1077	C₈	—	2	2	no	—
1078	C₈	—	2	1	no	—
1079	C₈	—	2	1	no	—
1080	C₈	—	2	1	no	—
1081	C₈	—	2	2	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1098	C₄	—	2	1	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	2	1	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	2	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	2	no	—
1114	C₄	#577×C₈₉	1	2	yes	—
1115	C₄	#585×C₈₉	1	1	yes	characteristic
1116	C₄	#585×C₈₉	1	1	yes	characteristic
1117	C₂	—	4	1	no	—
1118	C₂	—	4	2	no	—
1119	C₂	—	8	1	no	—
1120	C₂	—	8	1	no	—
1121	C₂	—	8	1	no	—
1122	C₂	C₈₉×#3500	1	1	yes	characteristic
1123	C₂	C₂×#577×C₈₉	1	1	yes	characteristic
1124	C₂	C₈₉×#3586	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×#3552	C₂	semidirect
2. C₈₉×#3547	C₂	semidirect
3. C₈₉×#3372	C₂	semidirect
4. C₈₉×#3367	C₂	semidirect
5. C₈₉×#3360	C₂	semidirect
6. C₈₉×#3359	C₂	semidirect
7. C₈₉×#3330	C₂	semidirect
8. C₈₉×#3329	C₂	semidirect
9. C₈₉×#3329	C₂	semidirect
10. C₈₉×#3326	C₂	semidirect
11. C₈₉×#3321	C₂	semidirect
12. C₈₉×#3320	C₂	semidirect
13. C₈₉×#3303	C₂	semidirect
14. C₈₉×#3298	C₂	semidirect
15. C₈₉×#3242	C₂	semidirect
16. C₈₉×#3233	C₂	semidirect
17. C₈₉×#3221	C₂	semidirect
18. C₈₉×#3206	C₂	semidirect
19. C₈₉×#3174	C₂	semidirect
20. C₈₉×#3171	C₂	semidirect
21. C₈₉×#3139	C₂	semidirect
22. C₈₉×#3137	C₂	semidirect
23. C₈₉×#2969	C₂	semidirect
554. #62609	C₈₉	direct (N × H)
563. #3552	C₂×C₈₉	semidirect
564. #3547	C₂×C₈₉	semidirect
565. #3372	C₂×C₈₉	semidirect
566. #3367	C₂×C₈₉	semidirect
567. #3360	C₂×C₈₉	semidirect
568. #3359	C₂×C₈₉	semidirect
569. #3330	C₂×C₈₉	semidirect
570. #3329	C₂×C₈₉	semidirect
571. #3329	C₂×C₈₉	semidirect
572. #3326	C₂×C₈₉	semidirect
573. #3321	C₂×C₈₉	semidirect
574. #3320	C₂×C₈₉	semidirect
575. #3303	C₂×C₈₉	semidirect
576. #3298	C₂×C₈₉	semidirect
577. #3242	C₂×C₈₉	semidirect
578. #3233	C₂×C₈₉	semidirect
579. #3221	C₂×C₈₉	semidirect
580. #3206	C₂×C₈₉	semidirect
581. #3174	C₂×C₈₉	semidirect
582. #3171	C₂×C₈₉	semidirect
583. #3139	C₂×C₈₉	semidirect
584. #3137	C₂×C₈₉	semidirect
585. #2969	C₂×C₈₉	semidirect
586. C₈₉	#62609	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×#3552	2
C₈₉×#3547	2
C₈₉×#3372	2
C₈₉×#3367	2
C₈₉×#3360	2
C₈₉×#3359	2
C₈₉×#3330	2
C₈₉×#3329	2
C₈₉×#3326	2
C₈₉×#3321	2
C₈₉×#3320	2
C₈₉×#3303	2
C₈₉×#3298	2
C₈₉×#3242	2
C₈₉×#3233	2
C₈₉×#3221	2
C₈₉×#3206	2
C₈₉×#3174	2
C₈₉×#3171	2
C₈₉×#3139	2
C₈₉×#3137	2
C₈₉×#2969	2
#62609	89

Subgroups — C89×#62609 #36440457

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62609 #36440457