Subgroups — C₈₉×#62598 #36440446

Order 22784.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3370	C₂	1	2	yes	maximal, complemented
4	C₈₉×#3366	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3318	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3318	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3309	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3306	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3297	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3294	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×#3220	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3205	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3180	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3176	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	#563×C₈₉	—	2	1	no	—
21	#562×C₈₉	—	2	1	no	—
22	#560×C₈₉	—	2	2	no	—
23	#559×C₈₉	C₂²	1	1	yes	characteristic
24	#554×C₈₉	C₂²	1	2	yes	complemented
25	#553×C₈₉	C₂²	1	2	yes	complemented
26	#553×C₈₉	C₂²	1	2	yes	complemented
27	#550×C₈₉	C₂²	1	1	yes	characteristic
28	#550×C₈₉	C₂²	1	1	yes	characteristic
29	#547×C₈₉	—	2	2	no	—
30	#547×C₈₉	C₂²	1	2	yes	complemented
31	#546×C₈₉	—	2	1	no	—
32	#546×C₈₉	C₂²	1	2	yes	—
33	D₄²×C₈₉	—	2	1	no	—
34	D₄²×C₈₉	C₂²	1	1	yes	characteristic
35	D₄²×C₈₉	C₂²	1	2	yes	—
36	#544×C₈₉	C₂²	1	2	yes	complemented
37	#540×C₈₉	—	2	1	no	—
38	#540×C₈₉	C₂²	1	2	yes	—
39	#540×C₈₉	C₂²	1	2	yes	complemented
40	#539×C₈₉	—	2	2	no	—
41	#539×C₈₉	—	2	1	no	—
42	#537×C₈₉	—	2	1	no	—
43	#535×C₈₉	—	2	1	no	—
44	#535×C₈₉	C₂²	1	2	yes	—
45	#534×C₈₉	—	2	2	no	—
46	#532×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	#496×C₈₉	C₂²	1	1	yes	characteristic, complemented
54	#493×C₈₉	C₂²	1	2	yes	complemented
55	#490×C₈₉	C₂²	1	2	yes	—
56	#490×C₈₉	C₂²	1	2	yes	complemented
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	1	yes	characteristic, 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	#469×C₈₉	C₂²	1	2	yes	complemented
82	#469×C₈₉	C₂²	1	2	yes	complemented
83	#466×C₈₉	C₂²	1	2	yes	—
84	#466×C₈₉	C₂²	1	2	yes	complemented
85	#466×C₈₉	C₂²	1	2	yes	complemented
86	#465×C₈₉	C₂²	1	2	yes	complemented
87	#463×C₈₉	C₂²	1	2	yes	complemented
88	#463×C₈₉	C₂²	1	2	yes	complemented
89	#459×C₈₉	C₂²	1	2	yes	—
90	#459×C₈₉	C₂²	1	2	yes	complemented
91	#459×C₈₉	C₂²	1	2	yes	complemented
92	#459×C₈₉	C₂²	1	2	yes	complemented
93	#449×C₈₉	C₂²	1	2	yes	complemented
94	#449×C₈₉	C₂²	1	2	yes	complemented
95	#447×C₈₉	C₂²	1	2	yes	complemented
96	#447×C₈₉	C₂²	1	2	yes	complemented
97	#447×C₈₉	C₂²	1	2	yes	complemented
98	#447×C₈₉	C₂²	1	2	yes	complemented
99	#446×C₈₉	C₂²	1	2	yes	complemented
100	#442×C₈₉	C₂²	1	2	yes	complemented
101	#442×C₈₉	C₂²	1	2	yes	complemented
102	#442×C₈₉	C₂²	1	2	yes	complemented
103	#440×C₈₉	C₂²	1	2	yes	complemented
104	C₄×D₈×C₈₉	C₂²	1	2	yes	complemented
105	C₄×D₈×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	—	2	2	no	—
121	C₂×#41×C₈₉	—	2	1	no	—
122	C₂×#41×C₈₉	C₂³	1	2	yes	—
123	C₂²×D₄×C₈₉	—	2	2	no	—
124	C₂²×D₄×C₈₉	—	2	1	no	—
125	C₂²×D₄×C₈₉	—	2	1	no	—
126	C₂²×D₄×C₈₉	—	2	1	no	—
127	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₈₉	C₂³	1	2	yes	—
130	C₂×D₈×C₈₉	C₂³	1	2	yes	—
131	C₂×D₈×C₈₉	C₂³	1	2	yes	—
132	C₂×D₈×C₈₉	C₂³	1	2	yes	—
133	C₂×D₈×C₈₉	C₂³	1	2	yes	—
134	C₂×D₈×C₈₉	C₂³	1	2	yes	—
135	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
136	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
137	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
138	C₄⋊Q₈×C₈₉	—	2	2	no	—
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	#127×C₈₉	C₂³	1	1	yes	characteristic
149	#126×C₈₉	—	2	2	no	—
150	#126×C₈₉	—	2	2	no	—
151	#126×C₈₉	—	2	1	no	—
152	#126×C₈₉	D₄	1	2	yes	—
153	#125×C₈₉	—	2	2	no	—
154	#125×C₈₉	—	2	1	no	—
155	#125×C₈₉	—	2	1	no	—
156	#125×C₈₉	D₄	1	1	yes	characteristic
157	#125×C₈₉	C₂³	1	2	yes	—
158	#125×C₈₉	C₂³	1	2	yes	—
159	#125×C₈₉	C₂³	1	2	yes	—
160	#125×C₈₉	C₂³	1	1	yes	characteristic
161	#124×C₈₉	—	2	1	no	—
162	#124×C₈₉	—	2	1	no	—
163	#124×C₈₉	D₄	1	1	yes	characteristic
164	#124×C₈₉	C₂³	1	2	yes	—
165	#124×C₈₉	C₂³	1	1	yes	characteristic
166	#123×C₈₉	—	2	1	no	—
167	#123×C₈₉	—	2	2	no	—
168	#123×C₈₉	—	2	2	no	—
169	#123×C₈₉	—	2	2	no	—
170	#123×C₈₉	—	2	2	no	—
171	#123×C₈₉	—	2	2	no	—
172	#123×C₈₉	—	2	2	no	—
173	#123×C₈₉	—	2	2	no	—
174	#123×C₈₉	—	2	2	no	—
175	#123×C₈₉	—	2	2	no	—
176	#123×C₈₉	—	2	2	no	—
177	#123×C₈₉	D₄	1	2	yes	—
178	C₂²⋊Q₈×C₈₉	—	2	2	no	—
179	C₂²⋊Q₈×C₈₉	—	2	2	no	—
180	C₂²⋊Q₈×C₈₉	—	2	2	no	—
181	C₂²⋊Q₈×C₈₉	—	2	2	no	—
182	C₂²⋊Q₈×C₈₉	—	2	2	no	—
183	C₂²⋊Q₈×C₈₉	—	2	2	no	—
184	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
185	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
186	#121×C₈₉	—	2	2	no	—
187	#121×C₈₉	—	2	2	no	—
188	#121×C₈₉	—	2	1	no	—
189	#121×C₈₉	—	2	2	no	—
190	#121×C₈₉	—	2	2	no	—
191	#121×C₈₉	—	2	2	no	—
192	#121×C₈₉	—	2	1	no	—
193	#121×C₈₉	—	2	1	no	—
194	#121×C₈₉	—	2	2	no	—
195	#121×C₈₉	—	2	2	no	—
196	#121×C₈₉	—	2	2	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	D₄	1	1	yes	characteristic
202	#121×C₈₉	C₂³	1	2	yes	—
203	#121×C₈₉	C₂³	1	2	yes	—
204	#121×C₈₉	C₂³	1	2	yes	—
205	#121×C₈₉	C₂³	1	1	yes	characteristic
206	#121×C₈₉	C₂³	1	2	yes	—
207	#121×C₈₉	C₂³	1	2	yes	—
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	#120×C₈₉	—	2	2	no	—
213	#120×C₈₉	—	2	2	no	—
214	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
215	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
216	C₄×D₄×C₈₉	—	2	1	no	—
217	C₄×D₄×C₈₉	—	2	1	no	—
218	C₄×D₄×C₈₉	—	2	1	no	—
219	C₄×D₄×C₈₉	—	2	2	no	—
220	C₄×D₄×C₈₉	—	2	2	no	—
221	C₄×D₄×C₈₉	—	2	1	no	—
222	C₄×D₄×C₈₉	C₂³	1	2	yes	—
223	C₄×D₄×C₈₉	C₂³	1	2	yes	—
224	C₄×D₄×C₈₉	C₂³	1	2	yes	—
225	C₄×D₄×C₈₉	C₂³	1	2	yes	—
226	C₄×D₄×C₈₉	C₂³	1	2	yes	—
227	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₈₉	C₂³	1	2	yes	—
229	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
230	#117×C₈₉	—	2	1	no	—
231	#117×C₈₉	C₂³	1	2	yes	—
232	#117×C₈₉	C₂³	1	2	yes	—
233	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
234	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
235	C₂×C₄⋊C₄×C₈₉	—	2	2	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	#102×C₈₉	C₂³	1	2	yes	—
254	#102×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	#41×C₈₉	—	8	4	no	—
286	#41×C₈₉	—	8	2	no	—
287	C₂×Q₈×C₈₉	—	2	2	no	—
288	C₂×Q₈×C₈₉	—	2	1	no	—
289	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
290	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
291	C₂×D₄×C₈₉	—	2	1	no	—
292	C₂×D₄×C₈₉	—	2	2	no	—
293	C₂×D₄×C₈₉	—	2	2	no	—
294	C₂×D₄×C₈₉	—	2	2	no	—
295	C₂×D₄×C₈₉	—	2	2	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	1	no	—
300	C₂×D₄×C₈₉	—	2	1	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	—	2	2	no	—
305	C₂×D₄×C₈₉	—	2	2	no	—
306	C₂×D₄×C₈₉	—	2	2	no	—
307	C₂×D₄×C₈₉	—	2	2	no	—
308	C₂×D₄×C₈₉	—	2	1	no	—
309	C₂×D₄×C₈₉	—	2	1	no	—
310	C₂×D₄×C₈₉	—	4	2	no	—
311	C₂×D₄×C₈₉	—	4	2	no	—
312	C₂×D₄×C₈₉	—	4	2	no	—
313	C₂×D₄×C₈₉	—	4	2	no	—
314	C₂×D₄×C₈₉	—	8	2	no	—
315	C₂×D₄×C₈₉	—	8	2	no	—
316	C₂×D₄×C₈₉	—	8	2	no	—
317	C₂×D₄×C₈₉	—	8	4	no	—
318	C₂×D₄×C₈₉	C₂×D₄	1	2	yes	—
319	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
320	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
321	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
323	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₈₉	—	2	1	no	—
325	C₂²×C₄×C₈₉	—	2	1	no	—
326	C₂²×C₄×C₈₉	—	2	2	no	—
327	C₂²×C₄×C₈₉	—	2	1	no	—
328	C₂²×C₄×C₈₉	—	2	2	no	—
329	C₂²×C₄×C₈₉	—	2	2	no	—
330	C₂²×C₄×C₈₉	—	2	2	no	—
331	C₂²×C₄×C₈₉	—	2	2	no	—
332	C₂²×C₄×C₈₉	—	2	2	no	—
333	C₂²×C₄×C₈₉	—	2	2	no	—
334	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
338	SD₁₆×C₈₉	—	4	2	no	—
339	D₈×C₈₉	—	4	2	no	—
340	D₈×C₈₉	—	4	2	no	—
341	D₈×C₈₉	—	4	2	no	—
342	D₈×C₈₉	—	4	2	no	—
343	D₈×C₈₉	—	4	2	no	—
344	M₁₆×C₈₉	—	4	2	no	—
345	C₂×C₈×C₈₉	—	4	2	no	—
346	C₂×C₈×C₈₉	—	4	2	no	—
347	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
348	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
349	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
350	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
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	2	no	—
355	C₄⋊C₄×C₈₉	—	2	2	no	—
356	C₄⋊C₄×C₈₉	—	2	2	no	—
357	C₄⋊C₄×C₈₉	—	2	1	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	1	no	—
362	C₄⋊C₄×C₈₉	—	2	1	no	—
363	C₄⋊C₄×C₈₉	—	2	1	no	—
364	C₄⋊C₄×C₈₉	—	2	2	no	—
365	C₄⋊C₄×C₈₉	—	2	1	no	—
366	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
367	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
368	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
369	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
370	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
371	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
372	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
373	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
374	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
375	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
377	C₂²⋊C₄×C₈₉	—	2	1	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	1	no	—
382	C₂²⋊C₄×C₈₉	—	2	1	no	—
383	C₂²⋊C₄×C₈₉	—	2	1	no	—
384	C₂²⋊C₄×C₈₉	—	2	2	no	—
385	C₂²⋊C₄×C₈₉	—	2	2	no	—
386	C₂²⋊C₄×C₈₉	—	2	2	no	—
387	C₂²⋊C₄×C₈₉	—	2	2	no	—
388	C₂²⋊C₄×C₈₉	—	2	2	no	—
389	C₂²⋊C₄×C₈₉	—	2	1	no	—
390	C₂²⋊C₄×C₈₉	—	2	2	no	—
391	C₂²⋊C₄×C₈₉	—	2	2	no	—
392	C₂²⋊C₄×C₈₉	—	2	2	no	—
393	C₂²⋊C₄×C₈₉	—	2	2	no	—
394	C₂²⋊C₄×C₈₉	—	2	2	no	—
395	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
396	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
397	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
398	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
399	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
400	C₄²×C₈₉	—	2	1	no	—
401	C₄²×C₈₉	—	2	2	no	—
402	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
403	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
404	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
405	C₄²×C₈₉	C₂⁴	1	2	yes	—
406	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
407	C₂³×C₈₉	—	2	2	no	—
408	C₂³×C₈₉	—	2	1	no	—
409	C₂³×C₈₉	—	2	2	no	—
410	C₂³×C₈₉	—	2	2	no	—
411	C₂³×C₈₉	—	4	4	no	—
412	C₂³×C₈₉	—	8	2	no	—
413	C₂³×C₈₉	—	8	2	no	—
414	C₂³×C₈₉	—	8	2	no	—
415	C₂³×C₈₉	—	8	2	no	—
416	C₂³×C₈₉	—	8	2	no	—
417	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
418	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
419	Q₈×C₈₉	—	2	2	no	—
420	Q₈×C₈₉	—	4	1	no	—
421	Q₈×C₈₉	—	8	1	no	—
422	Q₈×C₈₉	—	8	2	no	—
423	D₄×C₈₉	—	2	4	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	—	2	2	no	—
429	D₄×C₈₉	—	2	2	no	—
430	D₄×C₈₉	—	2	2	no	—
431	D₄×C₈₉	—	4	1	no	—
432	D₄×C₈₉	—	4	2	no	—
433	D₄×C₈₉	—	4	2	no	—
434	D₄×C₈₉	—	4	2	no	—
435	D₄×C₈₉	—	4	4	no	—
436	D₄×C₈₉	—	8	1	no	—
437	D₄×C₈₉	—	8	2	no	—
438	D₄×C₈₉	—	8	2	no	—
439	D₄×C₈₉	—	8	2	no	—
440	D₄×C₈₉	—	8	1	no	—
441	D₄×C₈₉	—	8	1	no	—
442	D₄×C₈₉	—	8	2	no	—
443	D₄×C₈₉	—	8	2	no	—
444	D₄×C₈₉	—	8	2	no	—
445	D₄×C₈₉	—	8	1	no	—
446	D₄×C₈₉	—	8	2	no	—
447	D₄×C₈₉	—	8	2	no	—
448	D₄×C₈₉	—	8	2	no	—
449	D₄×C₈₉	—	8	2	no	—
450	D₄×C₈₉	—	8	2	no	—
451	C₂×C₄×C₈₉	—	2	2	no	—
452	C₂×C₄×C₈₉	—	2	2	no	—
453	C₂×C₄×C₈₉	—	2	2	no	—
454	C₂×C₄×C₈₉	—	2	2	no	—
455	C₂×C₄×C₈₉	—	2	1	no	—
456	C₂×C₄×C₈₉	—	2	1	no	—
457	C₂×C₄×C₈₉	—	2	2	no	—
458	C₂×C₄×C₈₉	—	2	2	no	—
459	C₂×C₄×C₈₉	—	2	1	no	—
460	C₂×C₄×C₈₉	—	2	2	no	—
461	C₂×C₄×C₈₉	—	4	1	no	—
462	C₂×C₄×C₈₉	—	4	2	no	—
463	C₂×C₄×C₈₉	—	4	2	no	—
464	C₂×C₄×C₈₉	—	8	2	no	—
465	C₂×C₄×C₈₉	—	8	2	no	—
466	C₂×C₄×C₈₉	—	8	2	no	—
467	C₂×C₄×C₈₉	—	8	2	no	—
468	C₂×C₄×C₈₉	—	8	2	no	—
469	C₂×C₄×C₈₉	—	8	2	no	—
470	C₂×C₄×C₈₉	—	8	1	no	—
471	C₂×C₄×C₈₉	—	8	2	no	—
472	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
479	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
480	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
481	C₈×C₈₉	—	2	2	no	—
482	C₈×C₈₉	—	2	2	no	—
483	C₈×C₈₉	—	2	2	no	—
484	C₈×C₈₉	—	2	2	no	—
485	C₂²×C₈₉	—	2	1	no	—
486	C₂²×C₈₉	—	2	1	no	—
487	C₂²×C₈₉	—	2	2	no	—
488	C₂²×C₈₉	—	2	2	no	—
489	C₂²×C₈₉	—	2	2	no	—
490	C₂²×C₈₉	—	4	1	no	—
491	C₂²×C₈₉	—	4	2	no	—
492	C₂²×C₈₉	—	4	2	no	—
493	C₂²×C₈₉	—	4	2	no	—
494	C₂²×C₈₉	—	4	2	no	—
495	C₂²×C₈₉	—	4	1	no	—
496	C₂²×C₈₉	—	4	2	no	—
497	C₂²×C₈₉	—	4	2	no	—
498	C₂²×C₈₉	—	4	2	no	—
499	C₂²×C₈₉	—	4	2	no	—
500	C₂²×C₈₉	—	4	1	no	—
501	C₂²×C₈₉	—	4	2	no	—
502	C₂²×C₈₉	—	16	4	no	—
503	C₂²×C₈₉	—	16	4	no	—
504	C₂²×C₈₉	#576	1	2	yes	—
505	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
506	C₄×C₈₉	—	2	1	no	—
507	C₄×C₈₉	—	2	1	no	—
508	C₄×C₈₉	—	2	2	no	—
509	C₄×C₈₉	—	2	2	no	—
510	C₄×C₈₉	—	2	1	no	—
511	C₄×C₈₉	—	2	1	no	—
512	C₄×C₈₉	—	2	1	no	—
513	C₄×C₈₉	—	2	2	no	—
514	C₄×C₈₉	—	4	1	no	—
515	C₄×C₈₉	—	4	2	no	—
516	C₄×C₈₉	—	4	1	no	—
517	C₄×C₈₉	—	4	2	no	—
518	C₄×C₈₉	—	4	1	no	—
519	C₄×C₈₉	—	4	2	no	—
520	C₄×C₈₉	#585	1	2	yes	—
521	#62598	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
522	C₂×C₈₉	—	2	2	no	—
523	C₂×C₈₉	—	4	2	no	—
524	C₂×C₈₉	—	8	2	no	—
525	C₂×C₈₉	—	8	2	no	—
526	C₂×C₈₉	—	8	1	no	—
527	C₂×C₈₉	—	8	2	no	—
528	C₂×C₈₉	#3500	1	1	yes	characteristic
529	C₂×C₈₉	C₂×#576	1	1	yes	characteristic
530	C₂×C₈₉	#3585	1	1	yes	characteristic
531	#3559	C₂×C₈₉	1	1	yes	characteristic, complemented
532	#3543	C₂×C₈₉	1	1	yes	characteristic, complemented
533	#3370	C₂×C₈₉	1	2	yes	complemented
534	#3366	C₂×C₈₉	1	2	yes	complemented
535	#3318	C₂×C₈₉	1	2	yes	complemented
536	#3318	C₂×C₈₉	1	2	yes	complemented
537	#3309	C₂×C₈₉	1	2	yes	complemented
538	#3306	C₂×C₈₉	1	2	yes	complemented
539	#3297	C₂×C₈₉	1	2	yes	complemented
540	#3294	C₂×C₈₉	1	2	yes	complemented
541	#3241	C₂×C₈₉	1	2	yes	complemented
542	#3232	C₂×C₈₉	1	1	yes	characteristic, complemented
543	#3220	C₂×C₈₉	1	2	yes	complemented
544	#3205	C₂×C₈₉	1	1	yes	characteristic, complemented
545	#3180	C₂×C₈₉	1	1	yes	characteristic, complemented
546	#3176	C₂×C₈₉	1	2	yes	complemented
547	#3136	C₂×C₈₉	1	2	yes	complemented
548	C₂×#490	C₂×C₈₉	1	1	yes	characteristic, complemented
549	#2968	C₂×C₈₉	1	1	yes	characteristic, complemented
550	C₈₉	#62598	1	1	yes	characteristic, direct product factor, Sylow
551	#563	—	2	1	no	—
552	#562	—	2	1	no	—
553	#560	—	2	2	no	—
554	#559	C₂²×C₈₉	1	1	yes	characteristic
555	#554	C₂²×C₈₉	1	2	yes	complemented
556	#553	C₂²×C₈₉	1	2	yes	complemented
557	#553	C₂²×C₈₉	1	2	yes	complemented
558	#550	C₂²×C₈₉	1	1	yes	characteristic
559	#550	C₂²×C₈₉	1	1	yes	characteristic
560	#547	—	2	2	no	—
561	#547	C₂²×C₈₉	1	2	yes	complemented
562	#546	—	2	1	no	—
563	#546	C₂²×C₈₉	1	2	yes	—
564	D₄²	—	2	1	no	—
565	D₄²	C₂²×C₈₉	1	2	yes	—
566	D₄²	C₂²×C₈₉	1	1	yes	characteristic
567	#544	C₂²×C₈₉	1	2	yes	complemented
568	#540	—	2	1	no	—
569	#540	C₂²×C₈₉	1	2	yes	—
570	#540	C₂²×C₈₉	1	2	yes	complemented
571	#539	—	2	2	no	—
572	#539	—	2	1	no	—
573	#537	—	2	1	no	—
574	#535	—	2	1	no	—
575	#535	C₂²×C₈₉	1	2	yes	—
576	#534	—	2	2	no	—
577	#532	C₂²×C₈₉	1	1	yes	characteristic, complemented
578	C₂×#127	C₂²×C₈₉	1	1	yes	characteristic
579	#529	C₂²×C₈₉	1	1	yes	characteristic
580	#529	C₂²×C₈₉	1	1	yes	characteristic
581	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
582	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
583	#499	C₂²×C₈₉	1	2	yes	complemented
584	#496	C₂²×C₈₉	1	1	yes	characteristic, complemented
585	#493	C₂²×C₈₉	1	2	yes	complemented
586	#490	C₂²×C₈₉	1	2	yes	—
587	#490	C₂²×C₈₉	1	2	yes	complemented
588	#490	C₂²×C₈₉	1	2	yes	complemented
589	#490	C₂²×C₈₉	1	2	yes	complemented
590	#490	C₂²×C₈₉	1	2	yes	complemented
591	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
592	#489	C₂²×C₈₉	1	2	yes	complemented
593	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
594	#488	C₂²×C₈₉	1	2	yes	complemented
595	#488	C₂²×C₈₉	1	2	yes	complemented
596	#486	C₂²×C₈₉	1	2	yes	complemented
597	#486	C₂²×C₈₉	1	2	yes	complemented
598	#484	C₂²×C₈₉	1	1	yes	characteristic, complemented
599	#483	C₂²×C₈₉	1	1	yes	characteristic, complemented
600	#482	C₂²×C₈₉	1	2	yes	complemented
601	#482	C₂²×C₈₉	1	2	yes	complemented
602	#481	C₂²×C₈₉	1	1	yes	characteristic
603	#481	C₂²×C₈₉	1	2	yes	complemented
604	#480	C₂²×C₈₉	1	1	yes	characteristic
605	#480	C₂²×C₈₉	1	2	yes	complemented
606	#479	C₂²×C₈₉	1	2	yes	complemented
607	#478	C₂²×C₈₉	1	2	yes	complemented
608	#478	C₂²×C₈₉	1	2	yes	complemented
609	#478	C₂²×C₈₉	1	2	yes	complemented
610	#476	C₂²×C₈₉	1	2	yes	complemented
611	#474	C₂²×C₈₉	1	2	yes	complemented
612	#469	C₂²×C₈₉	1	2	yes	complemented
613	#469	C₂²×C₈₉	1	2	yes	complemented
614	#466	C₂²×C₈₉	1	2	yes	—
615	#466	C₂²×C₈₉	1	2	yes	complemented
616	#466	C₂²×C₈₉	1	2	yes	complemented
617	#465	C₂²×C₈₉	1	2	yes	complemented
618	#463	C₂²×C₈₉	1	2	yes	complemented
619	#463	C₂²×C₈₉	1	2	yes	complemented
620	#459	C₂²×C₈₉	1	2	yes	—
621	#459	C₂²×C₈₉	1	2	yes	complemented
622	#459	C₂²×C₈₉	1	2	yes	complemented
623	#459	C₂²×C₈₉	1	2	yes	complemented
624	#449	C₂²×C₈₉	1	2	yes	complemented
625	#449	C₂²×C₈₉	1	2	yes	complemented
626	#447	C₂²×C₈₉	1	2	yes	complemented
627	#447	C₂²×C₈₉	1	2	yes	complemented
628	#447	C₂²×C₈₉	1	2	yes	complemented
629	#447	C₂²×C₈₉	1	2	yes	complemented
630	#446	C₂²×C₈₉	1	2	yes	complemented
631	#442	C₂²×C₈₉	1	2	yes	complemented
632	#442	C₂²×C₈₉	1	2	yes	complemented
633	#442	C₂²×C₈₉	1	2	yes	complemented
634	#440	C₂²×C₈₉	1	2	yes	complemented
635	C₄×D₈	C₂²×C₈₉	1	2	yes	complemented
636	C₄×D₈	C₂²×C₈₉	1	2	yes	complemented
637	#435	C₂²×C₈₉	1	2	yes	complemented
638	#435	C₂²×C₈₉	1	2	yes	complemented
639	C₈×D₄	C₂²×C₈₉	1	2	yes	complemented
640	#433	C₂²×C₈₉	1	2	yes	complemented
641	#431	C₂²×C₈₉	1	1	yes	characteristic, complemented
642	#418	C₂²×C₈₉	1	2	yes	complemented
643	#417	C₂²×C₈₉	1	2	yes	complemented
644	#416	C₂²×C₈₉	1	2	yes	complemented
645	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
646	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
647	C₂×#102	C₂²×C₈₉	1	2	yes	complemented
648	#405	C₂²×C₈₉	1	2	yes	complemented
649	C₂×#97	C₂²×C₈₉	1	1	yes	characteristic, complemented
650	C₂×#41	—	2	1	no	—
651	C₂×#41	—	2	2	no	—
652	C₂×#41	—	2	1	no	—
653	C₂×#41	C₂³×C₈₉	1	2	yes	—
654	C₂²×D₄	—	2	2	no	—
655	C₂²×D₄	—	2	1	no	—
656	C₂²×D₄	—	2	1	no	—
657	C₂²×D₄	—	2	1	no	—
658	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
659	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
660	C₂×SD₁₆	C₂³×C₈₉	1	2	yes	—
661	C₂×D₈	C₂³×C₈₉	1	2	yes	—
662	C₂×D₈	C₂³×C₈₉	1	2	yes	—
663	C₂×D₈	C₂³×C₈₉	1	2	yes	—
664	C₂×D₈	C₂³×C₈₉	1	2	yes	—
665	C₂×D₈	C₂³×C₈₉	1	2	yes	—
666	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
667	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
668	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
669	C₄⋊Q₈	—	2	2	no	—
670	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
671	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
672	#127	—	2	1	no	—
673	#127	—	2	1	no	—
674	#127	—	2	1	no	—
675	#127	C₂³×C₈₉	1	2	yes	—
676	#127	C₂³×C₈₉	1	1	yes	characteristic
677	#127	C₂³×C₈₉	1	1	yes	characteristic
678	#127	C₂³×C₈₉	1	1	yes	characteristic
679	#127	C₂³×C₈₉	1	2	yes	—
680	#126	—	2	2	no	—
681	#126	—	2	2	no	—
682	#126	—	2	1	no	—
683	#126	D₄×C₈₉	1	2	yes	—
684	#125	—	2	2	no	—
685	#125	—	2	1	no	—
686	#125	—	2	1	no	—
687	#125	D₄×C₈₉	1	1	yes	characteristic
688	#125	C₂³×C₈₉	1	2	yes	—
689	#125	C₂³×C₈₉	1	2	yes	—
690	#125	C₂³×C₈₉	1	1	yes	characteristic
691	#125	C₂³×C₈₉	1	2	yes	—
692	#124	—	2	1	no	—
693	#124	—	2	1	no	—
694	#124	D₄×C₈₉	1	1	yes	characteristic
695	#124	C₂³×C₈₉	1	1	yes	characteristic
696	#124	C₂³×C₈₉	1	2	yes	—
697	#123	—	2	1	no	—
698	#123	—	2	2	no	—
699	#123	—	2	2	no	—
700	#123	—	2	2	no	—
701	#123	—	2	2	no	—
702	#123	—	2	2	no	—
703	#123	—	2	2	no	—
704	#123	—	2	2	no	—
705	#123	—	2	2	no	—
706	#123	—	2	2	no	—
707	#123	—	2	2	no	—
708	#123	D₄×C₈₉	1	2	yes	—
709	C₂²⋊Q₈	—	2	2	no	—
710	C₂²⋊Q₈	—	2	2	no	—
711	C₂²⋊Q₈	—	2	2	no	—
712	C₂²⋊Q₈	—	2	2	no	—
713	C₂²⋊Q₈	—	2	2	no	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
716	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	1	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	—	2	2	no	—
723	#121	—	2	1	no	—
724	#121	—	2	1	no	—
725	#121	—	2	2	no	—
726	#121	—	2	2	no	—
727	#121	—	2	2	no	—
728	#121	—	2	2	no	—
729	#121	—	2	2	no	—
730	#121	—	2	2	no	—
731	#121	—	2	2	no	—
732	#121	D₄×C₈₉	1	1	yes	characteristic
733	#121	C₂³×C₈₉	1	1	yes	characteristic
734	#121	C₂³×C₈₉	1	2	yes	—
735	#121	C₂³×C₈₉	1	2	yes	—
736	#121	C₂³×C₈₉	1	2	yes	—
737	#121	C₂³×C₈₉	1	2	yes	—
738	#121	C₂³×C₈₉	1	2	yes	—
739	#120	—	2	2	no	—
740	#120	—	2	2	no	—
741	#120	—	2	2	no	—
742	#120	—	2	2	no	—
743	#120	—	2	2	no	—
744	#120	—	2	2	no	—
745	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
746	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
747	C₄×D₄	—	2	1	no	—
748	C₄×D₄	—	2	1	no	—
749	C₄×D₄	—	2	1	no	—
750	C₄×D₄	—	2	2	no	—
751	C₄×D₄	—	2	2	no	—
752	C₄×D₄	—	2	1	no	—
753	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
754	C₄×D₄	C₂³×C₈₉	1	2	yes	—
755	C₄×D₄	C₂³×C₈₉	1	2	yes	—
756	C₄×D₄	C₂³×C₈₉	1	2	yes	—
757	C₄×D₄	C₂³×C₈₉	1	2	yes	—
758	C₄×D₄	C₂³×C₈₉	1	2	yes	—
759	C₄×D₄	C₂³×C₈₉	1	2	yes	—
760	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
761	#117	—	2	1	no	—
762	#117	C₂³×C₈₉	1	2	yes	—
763	#117	C₂³×C₈₉	1	2	yes	—
764	C₂×C₄⋊C₄	—	2	1	no	—
765	C₂×C₄⋊C₄	—	2	1	no	—
766	C₂×C₄⋊C₄	—	2	2	no	—
767	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
770	C₂×C₂²⋊C₄	—	2	2	no	—
771	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
772	#107	C₂³×C₈₉	1	2	yes	—
773	#107	C₂³×C₈₉	1	2	yes	—
774	#107	C₂³×C₈₉	1	2	yes	—
775	#106	C₂³×C₈₉	1	2	yes	—
776	#106	C₂³×C₈₉	1	2	yes	—
777	#106	C₂³×C₈₉	1	2	yes	—
778	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
779	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
780	C₄⋊C₈	C₂³×C₈₉	1	2	yes	—
781	#103	C₂³×C₈₉	1	2	yes	—
782	#103	C₂³×C₈₉	1	2	yes	—
783	#103	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	#102	C₂³×C₈₉	1	2	yes	—
789	#102	C₂³×C₈₉	1	2	yes	—
790	#102	C₂³×C₈₉	1	2	yes	—
791	#102	C₂³×C₈₉	1	2	yes	—
792	#102	C₂³×C₈₉	1	2	yes	—
793	#102	C₂³×C₈₉	1	2	yes	—
794	#102	C₂³×C₈₉	1	2	yes	—
795	#102	C₂³×C₈₉	1	2	yes	—
796	#102	C₂³×C₈₉	1	2	yes	—
797	#102	C₂³×C₈₉	1	2	yes	—
798	#102	C₂³×C₈₉	1	2	yes	—
799	#102	C₂³×C₈₉	1	2	yes	—
800	#102	C₂³×C₈₉	1	2	yes	—
801	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
802	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
803	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
804	C₂²⋊C₈	C₂³×C₈₉	1	2	yes	—
805	#97	C₂³×C₈₉	1	1	yes	characteristic
806	#97	C₂³×C₈₉	1	1	yes	characteristic
807	#97	C₂³×C₈₉	1	2	yes	—
808	#97	C₂³×C₈₉	1	2	yes	—
809	C₄×C₈	C₂³×C₈₉	1	2	yes	—
810	C₄×C₈	C₂³×C₈₉	1	2	yes	—
811	C₂⁴	—	2	2	no	—
812	C₂⁴	—	2	2	no	—
813	#41	—	4	2	no	—
814	#41	—	4	2	no	—
815	#41	—	8	2	no	—
816	#41	—	8	4	no	—
817	#41	—	8	2	no	—
818	C₂×Q₈	—	2	2	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
821	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	1	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	2	no	—
839	C₂×D₄	—	2	1	no	—
840	C₂×D₄	—	2	1	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	4	2	no	—
843	C₂×D₄	—	4	2	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	8	2	no	—
846	C₂×D₄	—	8	2	no	—
847	C₂×D₄	—	8	2	no	—
848	C₂×D₄	—	8	4	no	—
849	C₂×D₄	C₂×D₄×C₈₉	1	2	yes	—
850	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
851	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
852	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
853	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
854	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
866	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
869	SD₁₆	—	4	2	no	—
870	D₈	—	4	2	no	—
871	D₈	—	4	2	no	—
872	D₈	—	4	2	no	—
873	D₈	—	4	2	no	—
874	D₈	—	4	2	no	—
875	M₁₆	—	4	2	no	—
876	C₂×C₈	—	4	2	no	—
877	C₂×C₈	—	4	2	no	—
878	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
879	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
880	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
881	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	1	no	—
892	C₄⋊C₄	—	2	1	no	—
893	C₄⋊C₄	—	2	1	no	—
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
898	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
899	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
900	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
901	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
902	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
903	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
904	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
905	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
906	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
907	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
908	C₂²⋊C₄	—	2	1	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	1	no	—
913	C₂²⋊C₄	—	2	1	no	—
914	C₂²⋊C₄	—	2	1	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	1	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
927	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
928	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
929	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
930	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
931	C₄²	—	2	1	no	—
932	C₄²	—	2	2	no	—
933	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
934	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
935	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
936	C₄²	C₂⁴×C₈₉	1	2	yes	—
937	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	4	4	no	—
943	C₂³	—	8	2	no	—
944	C₂³	—	8	2	no	—
945	C₂³	—	8	2	no	—
946	C₂³	—	8	2	no	—
947	C₂³	—	8	2	no	—
948	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
949	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
950	Q₈	—	2	2	no	—
951	Q₈	—	4	1	no	—
952	Q₈	—	8	1	no	—
953	Q₈	—	8	2	no	—
954	D₄	—	2	4	no	—
955	D₄	—	2	2	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	2	2	no	—
960	D₄	—	2	2	no	—
961	D₄	—	2	2	no	—
962	D₄	—	4	1	no	—
963	D₄	—	4	2	no	—
964	D₄	—	4	2	no	—
965	D₄	—	4	2	no	—
966	D₄	—	4	4	no	—
967	D₄	—	8	1	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	2	no	—
970	D₄	—	8	1	no	—
971	D₄	—	8	1	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	2	no	—
975	D₄	—	8	1	no	—
976	D₄	—	8	2	no	—
977	D₄	—	8	2	no	—
978	D₄	—	8	2	no	—
979	D₄	—	8	2	no	—
980	D₄	—	8	2	no	—
981	D₄	—	8	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	4	1	no	—
993	C₂×C₄	—	4	2	no	—
994	C₂×C₄	—	4	2	no	—
995	C₂×C₄	—	8	2	no	—
996	C₂×C₄	—	8	2	no	—
997	C₂×C₄	—	8	2	no	—
998	C₂×C₄	—	8	2	no	—
999	C₂×C₄	—	8	2	no	—
1000	C₂×C₄	—	8	2	no	—
1001	C₂×C₄	—	8	1	no	—
1002	C₂×C₄	—	8	2	no	—
1003	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1005	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1007	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1008	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1010	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
1011	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1012	C₈	—	2	2	no	—
1013	C₈	—	2	2	no	—
1014	C₈	—	2	2	no	—
1015	C₈	—	2	2	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	2	2	no	—
1020	C₂²	—	2	2	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	1	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	—	4	1	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	2	no	—
1028	C₂²	—	4	2	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	1	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	16	4	no	—
1034	C₂²	—	16	4	no	—
1035	C₂²	#576×C₈₉	1	2	yes	—
1036	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	2	no	—
1048	C₄	—	4	1	no	—
1049	C₄	—	4	2	no	—
1050	C₄	—	4	1	no	—
1051	C₄	#585×C₈₉	1	2	yes	—
1052	C₂	—	2	2	no	—
1053	C₂	—	4	2	no	—
1054	C₂	—	8	2	no	—
1055	C₂	—	8	2	no	—
1056	C₂	—	8	2	no	—
1057	C₂	—	8	1	no	—
1058	C₂	C₈₉×#3500	1	1	yes	characteristic
1059	C₂	C₂×#576×C₈₉	1	1	yes	characteristic
1060	C₂	C₈₉×#3585	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×#3559	C₂	semidirect
2. C₈₉×#3543	C₂	semidirect
3. C₈₉×#3370	C₂	semidirect
4. C₈₉×#3366	C₂	semidirect
5. C₈₉×#3318	C₂	semidirect
6. C₈₉×#3318	C₂	semidirect
7. C₈₉×#3309	C₂	semidirect
8. C₈₉×#3306	C₂	semidirect
9. C₈₉×#3297	C₂	semidirect
10. C₈₉×#3294	C₂	semidirect
11. C₈₉×#3241	C₂	semidirect
12. C₈₉×#3232	C₂	semidirect
13. C₈₉×#3220	C₂	semidirect
14. C₈₉×#3205	C₂	semidirect
15. C₈₉×#3180	C₂	semidirect
16. C₈₉×#3176	C₂	semidirect
17. C₈₉×#3136	C₂	semidirect
18. C₂×#490×C₈₉	C₂	semidirect
19. C₈₉×#2968	C₂	semidirect
24. #554×C₈₉	C₂²	semidirect
25. #553×C₈₉	C₂²	semidirect
26. #553×C₈₉	C₂²	semidirect
30. #547×C₈₉	C₂²	semidirect
36. #544×C₈₉	C₂²	semidirect
39. #540×C₈₉	C₂²	semidirect
46. #532×C₈₉	C₂²	semidirect
50. C₂×#125×C₈₉	C₂²	semidirect
51. #501×C₈₉	C₂²	semidirect
52. #499×C₈₉	C₂²	semidirect
53. #496×C₈₉	C₂²	semidirect
54. #493×C₈₉	C₂²	semidirect
56. #490×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. #469×C₈₉	C₂²	semidirect
82. #469×C₈₉	C₂²	semidirect
84. #466×C₈₉	C₂²	semidirect
85. #466×C₈₉	C₂²	semidirect
86. #465×C₈₉	C₂²	semidirect
87. #463×C₈₉	C₂²	semidirect
88. #463×C₈₉	C₂²	semidirect
90. #459×C₈₉	C₂²	semidirect
91. #459×C₈₉	C₂²	semidirect
92. #459×C₈₉	C₂²	semidirect
93. #449×C₈₉	C₂²	semidirect
94. #449×C₈₉	C₂²	semidirect
95. #447×C₈₉	C₂²	semidirect
96. #447×C₈₉	C₂²	semidirect
97. #447×C₈₉	C₂²	semidirect
98. #447×C₈₉	C₂²	semidirect
99. #446×C₈₉	C₂²	semidirect
100. #442×C₈₉	C₂²	semidirect
101. #442×C₈₉	C₂²	semidirect
102. #442×C₈₉	C₂²	semidirect
103. #440×C₈₉	C₂²	semidirect
104. C₄×D₈×C₈₉	C₂²	semidirect
105. C₄×D₈×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
521. #62598	C₈₉	direct (N × H)
531. #3559	C₂×C₈₉	semidirect
532. #3543	C₂×C₈₉	semidirect
533. #3370	C₂×C₈₉	semidirect
534. #3366	C₂×C₈₉	semidirect
535. #3318	C₂×C₈₉	semidirect
536. #3318	C₂×C₈₉	semidirect
537. #3309	C₂×C₈₉	semidirect
538. #3306	C₂×C₈₉	semidirect
539. #3297	C₂×C₈₉	semidirect
540. #3294	C₂×C₈₉	semidirect
541. #3241	C₂×C₈₉	semidirect
542. #3232	C₂×C₈₉	semidirect
543. #3220	C₂×C₈₉	semidirect
544. #3205	C₂×C₈₉	semidirect
545. #3180	C₂×C₈₉	semidirect
546. #3176	C₂×C₈₉	semidirect
547. #3136	C₂×C₈₉	semidirect
548. C₂×#490	C₂×C₈₉	semidirect
549. #2968	C₂×C₈₉	semidirect
550. C₈₉	#62598	direct (N × H)
555. #554	C₂²×C₈₉	semidirect
556. #553	C₂²×C₈₉	semidirect
557. #553	C₂²×C₈₉	semidirect
561. #547	C₂²×C₈₉	semidirect
567. #544	C₂²×C₈₉	semidirect
570. #540	C₂²×C₈₉	semidirect
577. #532	C₂²×C₈₉	semidirect
581. C₂×#125	C₂²×C₈₉	semidirect
582. #501	C₂²×C₈₉	semidirect
583. #499	C₂²×C₈₉	semidirect
584. #496	C₂²×C₈₉	semidirect
585. #493	C₂²×C₈₉	semidirect
587. #490	C₂²×C₈₉	semidirect
588. #490	C₂²×C₈₉	semidirect
589. #490	C₂²×C₈₉	semidirect
590. #490	C₂²×C₈₉	semidirect
591. #490	C₂²×C₈₉	semidirect
592. #489	C₂²×C₈₉	semidirect
593. #489	C₂²×C₈₉	semidirect
594. #488	C₂²×C₈₉	semidirect
595. #488	C₂²×C₈₉	semidirect
596. #486	C₂²×C₈₉	semidirect
597. #486	C₂²×C₈₉	semidirect
598. #484	C₂²×C₈₉	semidirect
599. #483	C₂²×C₈₉	semidirect
600. #482	C₂²×C₈₉	semidirect
601. #482	C₂²×C₈₉	semidirect
603. #481	C₂²×C₈₉	semidirect
605. #480	C₂²×C₈₉	semidirect
606. #479	C₂²×C₈₉	semidirect
607. #478	C₂²×C₈₉	semidirect
608. #478	C₂²×C₈₉	semidirect
609. #478	C₂²×C₈₉	semidirect
610. #476	C₂²×C₈₉	semidirect
611. #474	C₂²×C₈₉	semidirect
612. #469	C₂²×C₈₉	semidirect
613. #469	C₂²×C₈₉	semidirect
615. #466	C₂²×C₈₉	semidirect
616. #466	C₂²×C₈₉	semidirect
617. #465	C₂²×C₈₉	semidirect
618. #463	C₂²×C₈₉	semidirect
619. #463	C₂²×C₈₉	semidirect
621. #459	C₂²×C₈₉	semidirect
622. #459	C₂²×C₈₉	semidirect
623. #459	C₂²×C₈₉	semidirect
624. #449	C₂²×C₈₉	semidirect
625. #449	C₂²×C₈₉	semidirect
626. #447	C₂²×C₈₉	semidirect
627. #447	C₂²×C₈₉	semidirect
628. #447	C₂²×C₈₉	semidirect
629. #447	C₂²×C₈₉	semidirect
630. #446	C₂²×C₈₉	semidirect
631. #442	C₂²×C₈₉	semidirect
632. #442	C₂²×C₈₉	semidirect
633. #442	C₂²×C₈₉	semidirect
634. #440	C₂²×C₈₉	semidirect
635. C₄×D₈	C₂²×C₈₉	semidirect
636. C₄×D₈	C₂²×C₈₉	semidirect
637. #435	C₂²×C₈₉	semidirect
638. #435	C₂²×C₈₉	semidirect
639. C₈×D₄	C₂²×C₈₉	semidirect
640. #433	C₂²×C₈₉	semidirect
641. #431	C₂²×C₈₉	semidirect
642. #418	C₂²×C₈₉	semidirect
643. #417	C₂²×C₈₉	semidirect
644. #416	C₂²×C₈₉	semidirect
645. C₂×#102	C₂²×C₈₉	semidirect
646. C₂×#102	C₂²×C₈₉	semidirect
647. C₂×#102	C₂²×C₈₉	semidirect
648. #405	C₂²×C₈₉	semidirect
649. 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×#3559	2
C₈₉×#3543	2
C₈₉×#3370	2
C₈₉×#3366	2
C₈₉×#3318	2
C₈₉×#3309	2
C₈₉×#3306	2
C₈₉×#3297	2
C₈₉×#3294	2
C₈₉×#3241	2
C₈₉×#3232	2
C₈₉×#3220	2
C₈₉×#3205	2
C₈₉×#3180	2
C₈₉×#3176	2
C₈₉×#3136	2
C₂×#490×C₈₉	2
C₈₉×#2968	2
#62598	89

Subgroups — C89×#62598 #36440446

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62598 #36440446