Subgroups — C₈₉×#63063 #36440911

Order 22784.

6916 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3561	C₂	1	2	yes	maximal, complemented
2	C₈₉×#3560	C₂	1	8	yes	maximal, complemented
3	C₈₉×#3559	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3552	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3551	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3545	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3544	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3538	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3535	C₂	1	8	yes	maximal, complemented
12	C₈₉×#3533	C₂	1	4	yes	maximal, complemented
13	C₈₉×#3529	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#563×C₈₉	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3521	C₂	1	4	yes	maximal, complemented
16	C₈₉×#3515	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3500	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3499	C₂	1	2	yes	maximal, complemented
19	C₈₉×#3489	C₂	1	4	yes	maximal, complemented
20	C₈₉×#3485	C₂	1	2	yes	maximal, complemented
21	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	2	yes	complemented
22	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	1	yes	characteristic, complemented
23	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	1	yes	characteristic
24	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
25	#563×C₈₉	C₂²	1	1	yes	characteristic, complemented
26	#563×C₈₉	C₂²	1	4	yes	complemented
27	#563×C₈₉	C₂²	1	8	yes	complemented
28	#563×C₈₉	C₂²	1	4	yes	complemented
29	#563×C₈₉	C₂²	1	2	yes	complemented
30	#563×C₈₉	C₂²	1	8	yes	complemented
31	#563×C₈₉	C₂²	1	4	yes	complemented
32	#563×C₈₉	C₂²	1	2	yes	complemented
33	#563×C₈₉	C₂²	1	4	yes	complemented
34	#563×C₈₉	C₂²	1	8	yes	complemented
35	#563×C₈₉	C₂²	1	2	yes	complemented
36	#562×C₈₉	C₂²	1	4	yes	complemented
37	#562×C₈₉	C₂²	1	2	yes	complemented
38	#562×C₈₉	C₂²	1	8	yes	complemented
39	#562×C₈₉	C₂²	1	4	yes	complemented
40	H(3,𝔽₄)×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#560×C₈₉	C₂²	1	2	yes	complemented
42	#560×C₈₉	C₂²	1	4	yes	complemented
43	#560×C₈₉	C₂²	1	4	yes	complemented
44	#559×C₈₉	C₂²	1	2	yes	complemented
45	Q₈²×C₈₉	C₂²	1	2	yes	complemented
46	#557×C₈₉	C₂²	1	2	yes	complemented
47	#556×C₈₉	C₂²	1	4	yes	complemented
48	#556×C₈₉	C₂²	1	4	yes	complemented
49	#555×C₈₉	C₂²	1	4	yes	complemented
50	#554×C₈₉	C₂²	1	2	yes	complemented
51	#554×C₈₉	C₂²	1	2	yes	complemented
52	#554×C₈₉	C₂²	1	8	yes	complemented
53	#554×C₈₉	C₂²	1	8	yes	complemented
54	#553×C₈₉	C₂²	1	4	yes	complemented
55	#553×C₈₉	C₂²	1	4	yes	complemented
56	#553×C₈₉	C₂²	1	8	yes	complemented
57	#553×C₈₉	C₂²	1	8	yes	complemented
58	#553×C₈₉	C₂²	1	8	yes	complemented
59	#552×C₈₉	C₂²	1	8	yes	complemented
60	#552×C₈₉	C₂²	1	4	yes	complemented
61	#552×C₈₉	C₂²	1	4	yes	complemented
62	#552×C₈₉	C₂²	1	8	yes	complemented
63	#552×C₈₉	C₂²	1	4	yes	complemented
64	#551×C₈₉	C₂²	1	8	yes	complemented
65	#551×C₈₉	C₂²	1	8	yes	complemented
66	#551×C₈₉	C₂²	1	4	yes	complemented
67	#551×C₈₉	C₂²	1	4	yes	complemented
68	#551×C₈₉	C₂²	1	8	yes	complemented
69	#551×C₈₉	C₂²	1	4	yes	complemented
70	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
71	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
72	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
73	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
74	#548×C₈₉	C₂²	1	4	yes	complemented
75	#548×C₈₉	C₂²	1	4	yes	complemented
76	#548×C₈₉	C₂²	1	4	yes	complemented
77	#547×C₈₉	C₂²	1	4	yes	—
78	#547×C₈₉	C₂²	1	4	yes	complemented
79	#547×C₈₉	C₂²	1	8	yes	complemented
80	#547×C₈₉	C₂²	1	2	yes	complemented
81	#547×C₈₉	C₂²	1	4	yes	complemented
82	#547×C₈₉	C₂²	1	8	yes	complemented
83	#547×C₈₉	C₂²	1	8	yes	complemented
84	#547×C₈₉	C₂²	1	8	yes	complemented
85	#547×C₈₉	C₂²	1	8	yes	complemented
86	#546×C₈₉	C₂²	1	4	yes	—
87	#546×C₈₉	C₂²	1	8	yes	—
88	#546×C₈₉	C₂²	1	4	yes	complemented
89	#546×C₈₉	C₂²	1	4	yes	complemented
90	#546×C₈₉	C₂²	1	8	yes	complemented
91	#546×C₈₉	C₂²	1	8	yes	complemented
92	#546×C₈₉	C₂²	1	8	yes	complemented
93	#544×C₈₉	C₂²	1	8	yes	complemented
94	#544×C₈₉	C₂²	1	8	yes	complemented
95	#543×C₈₉	C₂²	1	4	yes	complemented
96	#542×C₈₉	C₂²	1	4	yes	complemented
97	#542×C₈₉	C₂²	1	8	yes	complemented
98	#542×C₈₉	C₂²	1	8	yes	complemented
99	#542×C₈₉	C₂²	1	8	yes	complemented
100	#542×C₈₉	C₂²	1	8	yes	complemented
101	#541×C₈₉	C₂²	1	4	yes	complemented
102	#541×C₈₉	C₂²	1	4	yes	complemented
103	#540×C₈₉	C₂²	1	8	yes	complemented
104	#539×C₈₉	C₂²	1	8	yes	complemented
105	#539×C₈₉	C₂²	1	8	yes	complemented
106	#539×C₈₉	C₂²	1	8	yes	complemented
107	#539×C₈₉	C₂²	1	8	yes	complemented
108	#539×C₈₉	C₂²	1	8	yes	complemented
109	#539×C₈₉	C₂²	1	8	yes	complemented
110	#538×C₈₉	C₂²	1	8	yes	complemented
111	#538×C₈₉	C₂²	1	8	yes	complemented
112	#538×C₈₉	C₂²	1	8	yes	complemented
113	#538×C₈₉	C₂²	1	8	yes	complemented
114	#538×C₈₉	C₂²	1	4	yes	complemented
115	#537×C₈₉	C₂²	1	4	yes	complemented
116	#537×C₈₉	C₂²	1	8	yes	complemented
117	#536×C₈₉	C₂²	1	2	yes	—
118	#536×C₈₉	C₂²	1	1	yes	characteristic
119	#536×C₈₉	C₂²	1	2	yes	complemented
120	#536×C₈₉	C₂²	1	8	yes	complemented
121	#536×C₈₉	C₂²	1	4	yes	complemented
122	#536×C₈₉	C₂²	1	4	yes	complemented
123	#536×C₈₉	C₂²	1	2	yes	complemented
124	#536×C₈₉	C₂²	1	4	yes	complemented
125	#536×C₈₉	C₂²	1	2	yes	complemented
126	#536×C₈₉	C₂²	1	2	yes	complemented
127	#535×C₈₉	C₂²	1	2	yes	—
128	#535×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#534×C₈₉	C₂²	1	4	yes	—
130	#534×C₈₉	C₂²	1	4	yes	complemented
131	#533×C₈₉	C₂²	1	2	yes	complemented
132	#532×C₈₉	C₂²	1	1	yes	characteristic
133	#532×C₈₉	C₂²	1	2	yes	complemented
134	#532×C₈₉	C₂²	1	4	yes	complemented
135	#532×C₈₉	C₂²	1	2	yes	complemented
136	C₂×C₄⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
137	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
138	#529×C₈₉	C₂²	1	2	yes	complemented
139	#529×C₈₉	C₂²	1	4	yes	complemented
140	#529×C₈₉	C₂²	1	4	yes	complemented
141	#529×C₈₉	C₂²	1	8	yes	complemented
142	#529×C₈₉	C₂²	1	4	yes	complemented
143	C₂×#126×C₈₉	C₂²	1	8	yes	complemented
144	C₂×#125×C₈₉	C₂²	1	4	yes	complemented
145	C₂×#124×C₈₉	C₂²	1	2	yes	—
146	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
147	#525×C₈₉	C₂²	1	2	yes	—
148	#525×C₈₉	C₂²	1	2	yes	complemented
149	#525×C₈₉	C₂²	1	4	yes	complemented
150	#525×C₈₉	C₂²	1	8	yes	complemented
151	C₂×#123×C₈₉	C₂²	1	4	yes	—
152	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
153	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	8	yes	complemented
154	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
155	#520×C₈₉	C₂²	1	4	yes	complemented
156	#518×C₈₉	C₂²	1	2	yes	complemented
157	C₄×#41×C₈₉	C₂²	1	2	yes	complemented
158	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
159	2₋¹⁺⁴×C₈₉	—	4	8	no	—
160	2₋¹⁺⁴×C₈₉	—	4	4	no	—
161	H(5,𝔽₂)×C₈₉	—	4	4	no	—
162	C₂×#41×C₈₉	—	4	8	no	—
163	C₂×#41×C₈₉	C₂³	1	2	yes	—
164	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
165	C₂×#41×C₈₉	C₂³	1	4	yes	—
166	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
167	C₂×#41×C₈₉	C₂³	1	2	yes	—
168	C₂×#41×C₈₉	C₂³	1	2	yes	—
169	C₂×#41×C₈₉	C₂³	1	8	yes	—
170	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
171	C₂×#41×C₈₉	C₂³	1	2	yes	—
172	C₂×#41×C₈₉	C₂³	1	4	yes	—
173	C₂×#41×C₈₉	C₂³	1	4	yes	—
174	C₂×#41×C₈₉	C₂³	1	2	yes	—
175	C₂×#41×C₈₉	C₂³	1	8	yes	—
176	C₂×#41×C₈₉	C₂³	1	4	yes	—
177	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
178	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
179	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
180	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
181	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
182	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
183	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
184	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
185	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
186	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
187	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
189	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
190	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
191	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
192	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
193	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
194	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
195	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
196	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
197	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
198	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
199	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
200	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
201	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
202	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
203	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
204	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
205	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
206	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
207	#127×C₈₉	C₂³	1	1	yes	characteristic
208	#127×C₈₉	C₂³	1	2	yes	—
209	#127×C₈₉	C₂³	1	2	yes	—
210	#126×C₈₉	C₂³	1	4	yes	—
211	#126×C₈₉	C₂³	1	8	yes	—
212	#126×C₈₉	C₂³	1	8	yes	—
213	#126×C₈₉	C₂³	1	8	yes	—
214	#126×C₈₉	C₂³	1	8	yes	—
215	#126×C₈₉	C₂³	1	8	yes	—
216	#126×C₈₉	C₂³	1	8	yes	—
217	#126×C₈₉	C₂³	1	8	yes	—
218	#126×C₈₉	C₂³	1	4	yes	—
219	#126×C₈₉	C₂³	1	8	yes	—
220	#126×C₈₉	C₂³	1	4	yes	—
221	#126×C₈₉	C₂³	1	8	yes	—
222	#126×C₈₉	C₂³	1	8	yes	—
223	#126×C₈₉	C₂³	1	8	yes	—
224	#126×C₈₉	C₂³	1	8	yes	—
225	#126×C₈₉	C₂³	1	8	yes	—
226	#125×C₈₉	C₂³	1	2	yes	—
227	#125×C₈₉	C₂³	1	4	yes	—
228	#125×C₈₉	C₂³	1	4	yes	—
229	#125×C₈₉	C₂³	1	4	yes	—
230	#125×C₈₉	C₂³	1	8	yes	—
231	#125×C₈₉	C₂³	1	8	yes	—
232	#125×C₈₉	C₂³	1	8	yes	—
233	#125×C₈₉	C₂³	1	4	yes	—
234	#125×C₈₉	C₂³	1	4	yes	—
235	#125×C₈₉	C₂³	1	8	yes	—
236	#125×C₈₉	C₂³	1	8	yes	—
237	#125×C₈₉	C₂³	1	8	yes	—
238	#125×C₈₉	C₂³	1	8	yes	—
239	#124×C₈₉	C₂³	1	1	yes	characteristic
240	#124×C₈₉	C₂³	1	2	yes	—
241	#124×C₈₉	C₂³	1	2	yes	—
242	#124×C₈₉	C₂³	1	2	yes	—
243	#124×C₈₉	C₂³	1	8	yes	—
244	#124×C₈₉	C₂³	1	2	yes	—
245	#124×C₈₉	C₂³	1	4	yes	—
246	#124×C₈₉	C₂³	1	2	yes	—
247	#124×C₈₉	C₂³	1	4	yes	—
248	#124×C₈₉	C₂³	1	8	yes	—
249	#124×C₈₉	C₂³	1	4	yes	—
250	#124×C₈₉	C₂³	1	1	yes	characteristic
251	#124×C₈₉	C₂³	1	4	yes	—
252	#124×C₈₉	C₂³	1	4	yes	—
253	#124×C₈₉	C₂³	1	2	yes	—
254	#124×C₈₉	C₂³	1	2	yes	—
255	#124×C₈₉	C₂³	1	4	yes	—
256	#124×C₈₉	C₂³	1	8	yes	—
257	#124×C₈₉	C₂³	1	8	yes	—
258	#124×C₈₉	C₂³	1	8	yes	—
259	#123×C₈₉	C₂³	1	2	yes	—
260	#123×C₈₉	C₂³	1	4	yes	—
261	#123×C₈₉	C₂³	1	4	yes	—
262	#123×C₈₉	C₂³	1	4	yes	—
263	#123×C₈₉	C₂³	1	8	yes	—
264	#123×C₈₉	C₂³	1	8	yes	—
265	#123×C₈₉	C₂³	1	2	yes	—
266	#123×C₈₉	C₂³	1	4	yes	—
267	#123×C₈₉	C₂³	1	4	yes	—
268	#123×C₈₉	C₂³	1	8	yes	—
269	#123×C₈₉	C₂³	1	8	yes	—
270	#123×C₈₉	C₂³	1	8	yes	—
271	#123×C₈₉	C₂³	1	8	yes	—
272	#123×C₈₉	C₂³	1	4	yes	—
273	#123×C₈₉	C₂³	1	4	yes	—
274	#123×C₈₉	C₂³	1	8	yes	—
275	#123×C₈₉	C₂³	1	8	yes	—
276	#123×C₈₉	C₂³	1	8	yes	—
277	#123×C₈₉	C₂³	1	8	yes	—
278	#123×C₈₉	C₂³	1	4	yes	—
279	#123×C₈₉	C₂³	1	4	yes	—
280	#123×C₈₉	C₂³	1	4	yes	—
281	#123×C₈₉	C₂³	1	8	yes	—
282	#123×C₈₉	C₂³	1	4	yes	—
283	#123×C₈₉	C₂³	1	8	yes	—
284	#123×C₈₉	C₂³	1	8	yes	—
285	#123×C₈₉	C₂³	1	8	yes	—
286	#123×C₈₉	C₂³	1	4	yes	—
287	#123×C₈₉	C₂³	1	4	yes	—
288	#123×C₈₉	C₂³	1	8	yes	—
289	#123×C₈₉	C₂³	1	8	yes	—
290	#123×C₈₉	C₂³	1	8	yes	—
291	#123×C₈₉	C₂³	1	8	yes	—
292	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
293	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
294	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
295	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
296	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
297	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
298	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
299	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
300	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
301	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
302	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
303	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
304	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
305	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
306	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
307	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
308	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
309	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
311	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
312	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
313	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
314	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
315	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
316	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
317	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
318	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
319	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
320	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
321	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
322	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
323	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
324	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
325	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
326	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
327	#121×C₈₉	C₂³	1	4	yes	—
328	#121×C₈₉	C₂³	1	4	yes	—
329	#121×C₈₉	C₂³	1	8	yes	—
330	#121×C₈₉	C₂³	1	4	yes	—
331	#121×C₈₉	C₂³	1	4	yes	—
332	#121×C₈₉	C₂³	1	8	yes	—
333	#121×C₈₉	C₂³	1	4	yes	—
334	#121×C₈₉	C₂³	1	4	yes	—
335	#121×C₈₉	C₂³	1	4	yes	—
336	#121×C₈₉	C₂³	1	2	yes	—
337	#121×C₈₉	C₂³	1	4	yes	—
338	#121×C₈₉	C₂³	1	8	yes	—
339	#121×C₈₉	C₂³	1	8	yes	—
340	#121×C₈₉	C₂³	1	8	yes	—
341	#121×C₈₉	C₂³	1	4	yes	—
342	#121×C₈₉	C₂³	1	4	yes	—
343	#121×C₈₉	C₂³	1	8	yes	—
344	#121×C₈₉	C₂³	1	8	yes	—
345	#121×C₈₉	C₂³	1	8	yes	—
346	#121×C₈₉	C₂³	1	8	yes	—
347	#121×C₈₉	C₂³	1	8	yes	—
348	#121×C₈₉	C₂³	1	8	yes	—
349	#121×C₈₉	C₂³	1	8	yes	—
350	#121×C₈₉	C₂³	1	8	yes	—
351	#120×C₈₉	C₂³	1	2	yes	—
352	#120×C₈₉	C₂³	1	2	yes	—
353	#120×C₈₉	C₂³	1	4	yes	—
354	#120×C₈₉	C₂³	1	8	yes	—
355	#120×C₈₉	C₂³	1	8	yes	—
356	#120×C₈₉	C₂³	1	4	yes	—
357	#120×C₈₉	C₂³	1	4	yes	—
358	#120×C₈₉	C₂³	1	8	yes	—
359	#120×C₈₉	C₂³	1	4	yes	—
360	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
361	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
362	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
363	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
364	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
365	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
366	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
367	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
368	C₄×D₄×C₈₉	C₂³	1	4	yes	—
369	C₄×D₄×C₈₉	C₂³	1	2	yes	—
370	C₄×D₄×C₈₉	C₂³	1	8	yes	—
371	C₄×D₄×C₈₉	C₂³	1	4	yes	—
372	C₄×D₄×C₈₉	C₂³	1	8	yes	—
373	C₄×D₄×C₈₉	C₂³	1	4	yes	—
374	C₄×D₄×C₈₉	C₂³	1	8	yes	—
375	C₄×D₄×C₈₉	C₂³	1	8	yes	—
376	C₄×D₄×C₈₉	C₂³	1	4	yes	—
377	C₄×D₄×C₈₉	C₂³	1	4	yes	—
378	C₄×D₄×C₈₉	C₂³	1	2	yes	—
379	C₄×D₄×C₈₉	C₂³	1	4	yes	—
380	C₄×D₄×C₈₉	C₂³	1	4	yes	—
381	C₄×D₄×C₈₉	C₂³	1	8	yes	—
382	C₄×D₄×C₈₉	C₂³	1	8	yes	—
383	C₄×D₄×C₈₉	C₂³	1	8	yes	—
384	C₄×D₄×C₈₉	C₂³	1	8	yes	—
385	C₄×D₄×C₈₉	C₂³	1	8	yes	—
386	C₄×D₄×C₈₉	C₂³	1	8	yes	—
387	C₄×D₄×C₈₉	C₂³	1	4	yes	—
388	C₄×D₄×C₈₉	C₂³	1	8	yes	—
389	C₄×D₄×C₈₉	C₂³	1	8	yes	—
390	C₄×D₄×C₈₉	C₂³	1	8	yes	—
391	C₄×D₄×C₈₉	C₂³	1	8	yes	—
392	#117×C₈₉	C₂³	1	2	yes	—
393	#117×C₈₉	C₂³	1	1	yes	characteristic
394	#117×C₈₉	C₂³	1	4	yes	—
395	#117×C₈₉	C₂³	1	2	yes	—
396	#117×C₈₉	C₂³	1	2	yes	—
397	#117×C₈₉	C₂³	1	2	yes	—
398	#117×C₈₉	C₂³	1	4	yes	—
399	#117×C₈₉	C₂³	1	8	yes	—
400	#117×C₈₉	C₂³	1	8	yes	—
401	#117×C₈₉	C₂³	1	8	yes	—
402	#117×C₈₉	C₂³	1	8	yes	—
403	#117×C₈₉	C₂³	1	8	yes	—
404	#117×C₈₉	C₂³	1	4	yes	—
405	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
406	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
407	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
408	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
409	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
410	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
411	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
412	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
413	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
414	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
415	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
416	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
417	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
418	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
419	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
420	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
421	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
422	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
423	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
424	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
425	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
426	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
427	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
428	#41×C₈₉	—	2	16	no	—
429	#41×C₈₉	—	2	4	no	—
430	#41×C₈₉	—	2	8	no	—
431	#41×C₈₉	—	4	2	no	—
432	#41×C₈₉	—	4	4	no	—
433	#41×C₈₉	—	4	2	no	—
434	#41×C₈₉	—	4	16	no	—
435	#41×C₈₉	—	4	4	no	—
436	#41×C₈₉	—	4	16	no	—
437	#41×C₈₉	—	4	4	no	—
438	#41×C₈₉	—	4	8	no	—
439	#41×C₈₉	—	4	8	no	—
440	#41×C₈₉	—	4	8	no	—
441	#41×C₈₉	—	4	4	no	—
442	C₂×Q₈×C₈₉	—	4	8	no	—
443	C₂×Q₈×C₈₉	—	4	4	no	—
444	C₂×Q₈×C₈₉	—	4	4	no	—
445	C₂×Q₈×C₈₉	—	4	8	no	—
446	C₂×Q₈×C₈₉	—	4	2	no	—
447	C₂×Q₈×C₈₉	—	4	4	no	—
448	C₂×Q₈×C₈₉	—	4	4	no	—
449	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
450	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
451	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
452	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
453	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
454	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
455	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
456	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
457	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
458	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
459	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
460	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
461	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
462	C₂×D₄×C₈₉	—	2	8	no	—
463	C₂×D₄×C₈₉	—	4	2	no	—
464	C₂×D₄×C₈₉	—	4	4	no	—
465	C₂×D₄×C₈₉	—	4	8	no	—
466	C₂×D₄×C₈₉	—	4	8	no	—
467	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
468	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
469	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
470	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
471	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
472	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
473	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
474	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
475	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
476	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
477	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
478	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
479	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
480	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
481	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
482	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
483	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
484	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
485	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
486	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
487	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
488	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₈₉	—	4	4	no	—
490	C₂²×C₄×C₈₉	—	4	8	no	—
491	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
492	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
493	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
496	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
497	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
498	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
499	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
500	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
501	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
503	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
504	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
505	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
508	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
510	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
513	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
514	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
515	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
516	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
517	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
519	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
522	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
523	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
524	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
525	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
526	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
527	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
528	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
529	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
530	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
531	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
532	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
533	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
534	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
535	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
536	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
537	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
538	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
539	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
540	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
541	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
542	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
543	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
544	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
545	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
546	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
547	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
548	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
549	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
550	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
551	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
552	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
553	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
554	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
555	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
556	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
557	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
558	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
559	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
560	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
561	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
562	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
563	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
564	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
565	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
567	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
568	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
569	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
570	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
571	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
572	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
573	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
574	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
575	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
576	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
577	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
578	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
579	C₄²×C₈₉	C₂⁴	1	2	yes	—
580	C₄²×C₈₉	C₂⁴	1	2	yes	—
581	C₄²×C₈₉	C₂⁴	1	2	yes	—
582	C₄²×C₈₉	C₂⁴	1	4	yes	—
583	C₄²×C₈₉	C₂⁴	1	2	yes	—
584	C₄²×C₈₉	C₂⁴	1	8	yes	—
585	C₄²×C₈₉	C₂⁴	1	4	yes	—
586	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
587	C₄²×C₈₉	C₂⁴	1	4	yes	—
588	C₄²×C₈₉	C₂⁴	1	4	yes	—
589	C₄²×C₈₉	C₂⁴	1	8	yes	—
590	C₄²×C₈₉	C₂⁴	1	8	yes	—
591	C₂³×C₈₉	—	2	8	no	—
592	C₂³×C₈₉	—	4	2	no	—
593	C₂³×C₈₉	—	4	8	no	—
594	C₂³×C₈₉	—	4	4	no	—
595	C₂³×C₈₉	—	4	2	no	—
596	C₂³×C₈₉	—	4	4	no	—
597	C₂³×C₈₉	C₂⁵	1	2	yes	—
598	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
599	C₂³×C₈₉	C₂⁵	1	4	yes	—
600	C₂³×C₈₉	C₂⁵	1	4	yes	—
601	C₂³×C₈₉	C₂⁵	1	2	yes	—
602	C₂³×C₈₉	C₂⁵	1	2	yes	—
603	Q₈×C₈₉	—	2	4	no	—
604	Q₈×C₈₉	—	2	8	no	—
605	Q₈×C₈₉	—	2	2	no	—
606	Q₈×C₈₉	—	4	2	no	—
607	Q₈×C₈₉	—	4	8	no	—
608	Q₈×C₈₉	—	4	1	no	—
609	Q₈×C₈₉	—	4	2	no	—
610	Q₈×C₈₉	—	4	4	no	—
611	Q₈×C₈₉	—	4	4	no	—
612	Q₈×C₈₉	—	4	4	no	—
613	Q₈×C₈₉	—	4	2	no	—
614	Q₈×C₈₉	—	4	4	no	—
615	Q₈×C₈₉	—	4	1	no	—
616	D₄×C₈₉	—	2	8	no	—
617	D₄×C₈₉	—	2	4	no	—
618	D₄×C₈₉	—	2	16	no	—
619	D₄×C₈₉	—	2	8	no	—
620	D₄×C₈₉	—	2	4	no	—
621	D₄×C₈₉	—	4	1	no	—
622	D₄×C₈₉	—	4	2	no	—
623	D₄×C₈₉	—	4	2	no	—
624	D₄×C₈₉	—	4	4	no	—
625	D₄×C₈₉	—	4	8	no	—
626	D₄×C₈₉	—	4	4	no	—
627	D₄×C₈₉	—	4	8	no	—
628	D₄×C₈₉	—	4	4	no	—
629	D₄×C₈₉	—	4	4	no	—
630	D₄×C₈₉	—	4	8	no	—
631	D₄×C₈₉	—	4	2	no	—
632	D₄×C₈₉	—	4	4	no	—
633	D₄×C₈₉	—	4	4	no	—
634	D₄×C₈₉	—	4	1	no	—
635	D₄×C₈₉	—	4	2	no	—
636	D₄×C₈₉	—	4	2	no	—
637	D₄×C₈₉	H(5,𝔽₂)	1	4	yes	—
638	C₂×C₄×C₈₉	—	2	16	no	—
639	C₂×C₄×C₈₉	—	2	4	no	—
640	C₂×C₄×C₈₉	—	2	8	no	—
641	C₂×C₄×C₈₉	—	2	4	no	—
642	C₂×C₄×C₈₉	—	2	8	no	—
643	C₂×C₄×C₈₉	—	2	2	no	—
644	C₂×C₄×C₈₉	—	2	4	no	—
645	C₂×C₄×C₈₉	—	4	2	no	—
646	C₂×C₄×C₈₉	—	4	4	no	—
647	C₂×C₄×C₈₉	—	4	4	no	—
648	C₂×C₄×C₈₉	—	4	8	no	—
649	C₂×C₄×C₈₉	—	4	4	no	—
650	C₂×C₄×C₈₉	—	4	8	no	—
651	C₂×C₄×C₈₉	—	4	8	no	—
652	C₂×C₄×C₈₉	—	4	4	no	—
653	C₂×C₄×C₈₉	—	4	8	no	—
654	C₂×C₄×C₈₉	—	4	2	no	—
655	C₂×C₄×C₈₉	—	4	4	no	—
656	C₂×C₄×C₈₉	—	4	4	no	—
657	C₂×C₄×C₈₉	—	4	4	no	—
658	C₂×C₄×C₈₉	—	4	8	no	—
659	C₂×C₄×C₈₉	—	4	2	no	—
660	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
661	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
662	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
663	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
664	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
665	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
666	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
667	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
668	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
669	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
670	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
671	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
672	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
673	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
674	C₂²×C₈₉	—	2	4	no	—
675	C₂²×C₈₉	—	2	2	no	—
676	C₂²×C₈₉	—	2	4	no	—
677	C₂²×C₈₉	—	2	2	no	—
678	C₂²×C₈₉	—	2	1	no	—
679	C₂²×C₈₉	—	2	4	no	—
680	C₂²×C₈₉	—	2	4	no	—
681	C₂²×C₈₉	—	2	4	no	—
682	C₂²×C₈₉	—	2	8	no	—
683	C₂²×C₈₉	—	2	2	no	—
684	C₂²×C₈₉	—	2	4	no	—
685	C₂²×C₈₉	—	2	4	no	—
686	C₂²×C₈₉	—	8	8	no	—
687	C₂²×C₈₉	—	8	4	no	—
688	C₂²×C₈₉	—	16	2	no	—
689	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	4	yes	—
690	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
691	C₄×C₈₉	—	2	4	no	—
692	C₄×C₈₉	—	2	1	no	—
693	C₄×C₈₉	—	2	2	no	—
694	C₄×C₈₉	—	2	2	no	—
695	C₄×C₈₉	—	2	2	no	—
696	C₄×C₈₉	—	2	8	no	—
697	C₄×C₈₉	—	2	4	no	—
698	C₄×C₈₉	—	2	4	no	—
699	C₄×C₈₉	—	2	4	no	—
700	C₄×C₈₉	—	2	2	no	—
701	C₄×C₈₉	—	2	8	no	—
702	C₄×C₈₉	—	2	4	no	—
703	C₄×C₈₉	—	2	2	no	—
704	C₄×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
705	#63063	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
706	C₂×C₈₉	—	2	4	no	—
707	C₂×C₈₉	—	4	2	no	—
708	C₂×C₈₉	—	4	4	no	—
709	C₂×C₈₉	—	4	2	no	—
710	C₂×C₈₉	—	4	4	no	—
711	C₂×C₈₉	—	4	1	no	—
712	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
713	C₂×C₈₉	2₋¹⁺⁶	1	2	yes	—
714	#3561	C₂×C₈₉	1	2	yes	complemented
715	#3560	C₂×C₈₉	1	8	yes	complemented
716	#3559	C₂×C₈₉	1	4	yes	complemented
717	#3552	C₂×C₈₉	1	4	yes	complemented
718	#3551	C₂×C₈₉	1	2	yes	complemented
719	#3550	C₂×C₈₉	1	1	yes	characteristic, complemented
720	#3545	C₂×C₈₉	1	2	yes	complemented
721	#3544	C₂×C₈₉	1	4	yes	complemented
722	#3541	C₂×C₈₉	1	4	yes	complemented
723	#3538	C₂×C₈₉	1	2	yes	complemented
724	#3535	C₂×C₈₉	1	8	yes	complemented
725	#3533	C₂×C₈₉	1	4	yes	complemented
726	#3529	C₂×C₈₉	1	1	yes	characteristic, complemented
727	C₂×#563	C₂×C₈₉	1	2	yes	complemented
728	#3521	C₂×C₈₉	1	4	yes	complemented
729	#3515	C₂×C₈₉	1	2	yes	complemented
730	#3500	C₂×C₈₉	1	1	yes	characteristic, complemented
731	#3499	C₂×C₈₉	1	2	yes	complemented
732	#3489	C₂×C₈₉	1	4	yes	complemented
733	#3485	C₂×C₈₉	1	2	yes	complemented
734	C₈₉	#63063	1	1	yes	characteristic, direct product factor, Sylow
735	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	2	yes	complemented
736	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	1	yes	characteristic, complemented
737	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	1	yes	characteristic
738	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
739	#563	C₂²×C₈₉	1	1	yes	characteristic, complemented
740	#563	C₂²×C₈₉	1	4	yes	complemented
741	#563	C₂²×C₈₉	1	8	yes	complemented
742	#563	C₂²×C₈₉	1	4	yes	complemented
743	#563	C₂²×C₈₉	1	2	yes	complemented
744	#563	C₂²×C₈₉	1	8	yes	complemented
745	#563	C₂²×C₈₉	1	4	yes	complemented
746	#563	C₂²×C₈₉	1	2	yes	complemented
747	#563	C₂²×C₈₉	1	4	yes	complemented
748	#563	C₂²×C₈₉	1	8	yes	complemented
749	#563	C₂²×C₈₉	1	2	yes	complemented
750	#562	C₂²×C₈₉	1	4	yes	complemented
751	#562	C₂²×C₈₉	1	2	yes	complemented
752	#562	C₂²×C₈₉	1	8	yes	complemented
753	#562	C₂²×C₈₉	1	4	yes	complemented
754	H(3,𝔽₄)	C₂²×C₈₉	1	1	yes	characteristic, complemented
755	#560	C₂²×C₈₉	1	2	yes	complemented
756	#560	C₂²×C₈₉	1	4	yes	complemented
757	#560	C₂²×C₈₉	1	4	yes	complemented
758	#559	C₂²×C₈₉	1	2	yes	complemented
759	Q₈²	C₂²×C₈₉	1	2	yes	complemented
760	#557	C₂²×C₈₉	1	2	yes	complemented
761	#556	C₂²×C₈₉	1	4	yes	complemented
762	#556	C₂²×C₈₉	1	4	yes	complemented
763	#555	C₂²×C₈₉	1	4	yes	complemented
764	#554	C₂²×C₈₉	1	2	yes	complemented
765	#554	C₂²×C₈₉	1	2	yes	complemented
766	#554	C₂²×C₈₉	1	8	yes	complemented
767	#554	C₂²×C₈₉	1	8	yes	complemented
768	#553	C₂²×C₈₉	1	4	yes	complemented
769	#553	C₂²×C₈₉	1	4	yes	complemented
770	#553	C₂²×C₈₉	1	8	yes	complemented
771	#553	C₂²×C₈₉	1	8	yes	complemented
772	#553	C₂²×C₈₉	1	8	yes	complemented
773	#552	C₂²×C₈₉	1	8	yes	complemented
774	#552	C₂²×C₈₉	1	4	yes	complemented
775	#552	C₂²×C₈₉	1	4	yes	complemented
776	#552	C₂²×C₈₉	1	8	yes	complemented
777	#552	C₂²×C₈₉	1	4	yes	complemented
778	#551	C₂²×C₈₉	1	8	yes	complemented
779	#551	C₂²×C₈₉	1	8	yes	complemented
780	#551	C₂²×C₈₉	1	4	yes	complemented
781	#551	C₂²×C₈₉	1	4	yes	complemented
782	#551	C₂²×C₈₉	1	8	yes	complemented
783	#551	C₂²×C₈₉	1	4	yes	complemented
784	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
785	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
786	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
787	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
788	#548	C₂²×C₈₉	1	4	yes	complemented
789	#548	C₂²×C₈₉	1	4	yes	complemented
790	#548	C₂²×C₈₉	1	4	yes	complemented
791	#547	C₂²×C₈₉	1	4	yes	—
792	#547	C₂²×C₈₉	1	4	yes	complemented
793	#547	C₂²×C₈₉	1	8	yes	complemented
794	#547	C₂²×C₈₉	1	2	yes	complemented
795	#547	C₂²×C₈₉	1	4	yes	complemented
796	#547	C₂²×C₈₉	1	8	yes	complemented
797	#547	C₂²×C₈₉	1	8	yes	complemented
798	#547	C₂²×C₈₉	1	8	yes	complemented
799	#547	C₂²×C₈₉	1	8	yes	complemented
800	#546	C₂²×C₈₉	1	4	yes	—
801	#546	C₂²×C₈₉	1	8	yes	—
802	#546	C₂²×C₈₉	1	4	yes	complemented
803	#546	C₂²×C₈₉	1	4	yes	complemented
804	#546	C₂²×C₈₉	1	8	yes	complemented
805	#546	C₂²×C₈₉	1	8	yes	complemented
806	#546	C₂²×C₈₉	1	8	yes	complemented
807	#544	C₂²×C₈₉	1	8	yes	complemented
808	#544	C₂²×C₈₉	1	8	yes	complemented
809	#543	C₂²×C₈₉	1	4	yes	complemented
810	#542	C₂²×C₈₉	1	4	yes	complemented
811	#542	C₂²×C₈₉	1	8	yes	complemented
812	#542	C₂²×C₈₉	1	8	yes	complemented
813	#542	C₂²×C₈₉	1	8	yes	complemented
814	#542	C₂²×C₈₉	1	8	yes	complemented
815	#541	C₂²×C₈₉	1	4	yes	complemented
816	#541	C₂²×C₈₉	1	4	yes	complemented
817	#540	C₂²×C₈₉	1	8	yes	complemented
818	#539	C₂²×C₈₉	1	8	yes	complemented
819	#539	C₂²×C₈₉	1	8	yes	complemented
820	#539	C₂²×C₈₉	1	8	yes	complemented
821	#539	C₂²×C₈₉	1	8	yes	complemented
822	#539	C₂²×C₈₉	1	8	yes	complemented
823	#539	C₂²×C₈₉	1	8	yes	complemented
824	#538	C₂²×C₈₉	1	8	yes	complemented
825	#538	C₂²×C₈₉	1	8	yes	complemented
826	#538	C₂²×C₈₉	1	8	yes	complemented
827	#538	C₂²×C₈₉	1	8	yes	complemented
828	#538	C₂²×C₈₉	1	4	yes	complemented
829	#537	C₂²×C₈₉	1	4	yes	complemented
830	#537	C₂²×C₈₉	1	8	yes	complemented
831	#536	C₂²×C₈₉	1	2	yes	—
832	#536	C₂²×C₈₉	1	1	yes	characteristic
833	#536	C₂²×C₈₉	1	2	yes	complemented
834	#536	C₂²×C₈₉	1	8	yes	complemented
835	#536	C₂²×C₈₉	1	4	yes	complemented
836	#536	C₂²×C₈₉	1	4	yes	complemented
837	#536	C₂²×C₈₉	1	2	yes	complemented
838	#536	C₂²×C₈₉	1	4	yes	complemented
839	#536	C₂²×C₈₉	1	2	yes	complemented
840	#536	C₂²×C₈₉	1	2	yes	complemented
841	#535	C₂²×C₈₉	1	2	yes	—
842	#535	C₂²×C₈₉	1	1	yes	characteristic, complemented
843	#534	C₂²×C₈₉	1	4	yes	—
844	#534	C₂²×C₈₉	1	4	yes	complemented
845	#533	C₂²×C₈₉	1	2	yes	complemented
846	#532	C₂²×C₈₉	1	1	yes	characteristic
847	#532	C₂²×C₈₉	1	2	yes	complemented
848	#532	C₂²×C₈₉	1	4	yes	complemented
849	#532	C₂²×C₈₉	1	2	yes	complemented
850	C₂×C₄⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
851	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
852	#529	C₂²×C₈₉	1	2	yes	complemented
853	#529	C₂²×C₈₉	1	4	yes	complemented
854	#529	C₂²×C₈₉	1	4	yes	complemented
855	#529	C₂²×C₈₉	1	8	yes	complemented
856	#529	C₂²×C₈₉	1	4	yes	complemented
857	C₂×#126	C₂²×C₈₉	1	8	yes	complemented
858	C₂×#125	C₂²×C₈₉	1	4	yes	complemented
859	C₂×#124	C₂²×C₈₉	1	2	yes	—
860	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
861	#525	C₂²×C₈₉	1	2	yes	—
862	#525	C₂²×C₈₉	1	2	yes	complemented
863	#525	C₂²×C₈₉	1	4	yes	complemented
864	#525	C₂²×C₈₉	1	8	yes	complemented
865	C₂×#123	C₂²×C₈₉	1	4	yes	—
866	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
867	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	8	yes	complemented
868	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
869	#520	C₂²×C₈₉	1	4	yes	complemented
870	#518	C₂²×C₈₉	1	2	yes	complemented
871	C₄×#41	C₂²×C₈₉	1	2	yes	complemented
872	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
873	2₋¹⁺⁴	—	4	8	no	—
874	2₋¹⁺⁴	—	4	4	no	—
875	H(5,𝔽₂)	—	4	4	no	—
876	C₂×#41	—	4	8	no	—
877	C₂×#41	C₂³×C₈₉	1	2	yes	—
878	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
879	C₂×#41	C₂³×C₈₉	1	4	yes	—
880	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
881	C₂×#41	C₂³×C₈₉	1	2	yes	—
882	C₂×#41	C₂³×C₈₉	1	2	yes	—
883	C₂×#41	C₂³×C₈₉	1	8	yes	—
884	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
885	C₂×#41	C₂³×C₈₉	1	2	yes	—
886	C₂×#41	C₂³×C₈₉	1	4	yes	—
887	C₂×#41	C₂³×C₈₉	1	4	yes	—
888	C₂×#41	C₂³×C₈₉	1	2	yes	—
889	C₂×#41	C₂³×C₈₉	1	8	yes	—
890	C₂×#41	C₂³×C₈₉	1	4	yes	—
891	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
892	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
893	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
894	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
895	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
896	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
897	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
898	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
899	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
900	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
901	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
902	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
903	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
904	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
905	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
906	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
907	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
908	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
909	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
910	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
911	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
912	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
913	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
914	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
915	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
916	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
917	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
918	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
919	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
920	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
921	#127	C₂³×C₈₉	1	1	yes	characteristic
922	#127	C₂³×C₈₉	1	2	yes	—
923	#127	C₂³×C₈₉	1	2	yes	—
924	#126	C₂³×C₈₉	1	4	yes	—
925	#126	C₂³×C₈₉	1	8	yes	—
926	#126	C₂³×C₈₉	1	8	yes	—
927	#126	C₂³×C₈₉	1	8	yes	—
928	#126	C₂³×C₈₉	1	8	yes	—
929	#126	C₂³×C₈₉	1	8	yes	—
930	#126	C₂³×C₈₉	1	8	yes	—
931	#126	C₂³×C₈₉	1	8	yes	—
932	#126	C₂³×C₈₉	1	4	yes	—
933	#126	C₂³×C₈₉	1	8	yes	—
934	#126	C₂³×C₈₉	1	4	yes	—
935	#126	C₂³×C₈₉	1	8	yes	—
936	#126	C₂³×C₈₉	1	8	yes	—
937	#126	C₂³×C₈₉	1	8	yes	—
938	#126	C₂³×C₈₉	1	8	yes	—
939	#126	C₂³×C₈₉	1	8	yes	—
940	#125	C₂³×C₈₉	1	2	yes	—
941	#125	C₂³×C₈₉	1	4	yes	—
942	#125	C₂³×C₈₉	1	4	yes	—
943	#125	C₂³×C₈₉	1	4	yes	—
944	#125	C₂³×C₈₉	1	8	yes	—
945	#125	C₂³×C₈₉	1	8	yes	—
946	#125	C₂³×C₈₉	1	8	yes	—
947	#125	C₂³×C₈₉	1	4	yes	—
948	#125	C₂³×C₈₉	1	4	yes	—
949	#125	C₂³×C₈₉	1	8	yes	—
950	#125	C₂³×C₈₉	1	8	yes	—
951	#125	C₂³×C₈₉	1	8	yes	—
952	#125	C₂³×C₈₉	1	8	yes	—
953	#124	C₂³×C₈₉	1	1	yes	characteristic
954	#124	C₂³×C₈₉	1	2	yes	—
955	#124	C₂³×C₈₉	1	2	yes	—
956	#124	C₂³×C₈₉	1	2	yes	—
957	#124	C₂³×C₈₉	1	8	yes	—
958	#124	C₂³×C₈₉	1	2	yes	—
959	#124	C₂³×C₈₉	1	4	yes	—
960	#124	C₂³×C₈₉	1	2	yes	—
961	#124	C₂³×C₈₉	1	4	yes	—
962	#124	C₂³×C₈₉	1	8	yes	—
963	#124	C₂³×C₈₉	1	4	yes	—
964	#124	C₂³×C₈₉	1	1	yes	characteristic
965	#124	C₂³×C₈₉	1	4	yes	—
966	#124	C₂³×C₈₉	1	4	yes	—
967	#124	C₂³×C₈₉	1	2	yes	—
968	#124	C₂³×C₈₉	1	2	yes	—
969	#124	C₂³×C₈₉	1	4	yes	—
970	#124	C₂³×C₈₉	1	8	yes	—
971	#124	C₂³×C₈₉	1	8	yes	—
972	#124	C₂³×C₈₉	1	8	yes	—
973	#123	C₂³×C₈₉	1	2	yes	—
974	#123	C₂³×C₈₉	1	4	yes	—
975	#123	C₂³×C₈₉	1	4	yes	—
976	#123	C₂³×C₈₉	1	4	yes	—
977	#123	C₂³×C₈₉	1	8	yes	—
978	#123	C₂³×C₈₉	1	8	yes	—
979	#123	C₂³×C₈₉	1	2	yes	—
980	#123	C₂³×C₈₉	1	4	yes	—
981	#123	C₂³×C₈₉	1	4	yes	—
982	#123	C₂³×C₈₉	1	8	yes	—
983	#123	C₂³×C₈₉	1	8	yes	—
984	#123	C₂³×C₈₉	1	8	yes	—
985	#123	C₂³×C₈₉	1	8	yes	—
986	#123	C₂³×C₈₉	1	4	yes	—
987	#123	C₂³×C₈₉	1	4	yes	—
988	#123	C₂³×C₈₉	1	8	yes	—
989	#123	C₂³×C₈₉	1	8	yes	—
990	#123	C₂³×C₈₉	1	8	yes	—
991	#123	C₂³×C₈₉	1	8	yes	—
992	#123	C₂³×C₈₉	1	4	yes	—
993	#123	C₂³×C₈₉	1	4	yes	—
994	#123	C₂³×C₈₉	1	4	yes	—
995	#123	C₂³×C₈₉	1	8	yes	—
996	#123	C₂³×C₈₉	1	4	yes	—
997	#123	C₂³×C₈₉	1	8	yes	—
998	#123	C₂³×C₈₉	1	8	yes	—
999	#123	C₂³×C₈₉	1	8	yes	—
1000	#123	C₂³×C₈₉	1	4	yes	—
1001	#123	C₂³×C₈₉	1	4	yes	—
1002	#123	C₂³×C₈₉	1	8	yes	—
1003	#123	C₂³×C₈₉	1	8	yes	—
1004	#123	C₂³×C₈₉	1	8	yes	—
1005	#123	C₂³×C₈₉	1	8	yes	—
1006	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1007	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1008	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1009	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1010	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1011	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1012	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1013	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1014	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1015	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1016	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1017	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1018	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1019	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1020	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1021	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1022	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1023	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1024	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1025	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1026	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1027	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1028	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1029	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1030	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1031	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1032	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1033	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1034	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1036	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1037	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1038	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1039	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1040	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1041	#121	C₂³×C₈₉	1	4	yes	—
1042	#121	C₂³×C₈₉	1	4	yes	—
1043	#121	C₂³×C₈₉	1	8	yes	—
1044	#121	C₂³×C₈₉	1	4	yes	—
1045	#121	C₂³×C₈₉	1	4	yes	—
1046	#121	C₂³×C₈₉	1	8	yes	—
1047	#121	C₂³×C₈₉	1	4	yes	—
1048	#121	C₂³×C₈₉	1	4	yes	—
1049	#121	C₂³×C₈₉	1	4	yes	—
1050	#121	C₂³×C₈₉	1	2	yes	—
1051	#121	C₂³×C₈₉	1	4	yes	—
1052	#121	C₂³×C₈₉	1	8	yes	—
1053	#121	C₂³×C₈₉	1	8	yes	—
1054	#121	C₂³×C₈₉	1	8	yes	—
1055	#121	C₂³×C₈₉	1	4	yes	—
1056	#121	C₂³×C₈₉	1	4	yes	—
1057	#121	C₂³×C₈₉	1	8	yes	—
1058	#121	C₂³×C₈₉	1	8	yes	—
1059	#121	C₂³×C₈₉	1	8	yes	—
1060	#121	C₂³×C₈₉	1	8	yes	—
1061	#121	C₂³×C₈₉	1	8	yes	—
1062	#121	C₂³×C₈₉	1	8	yes	—
1063	#121	C₂³×C₈₉	1	8	yes	—
1064	#121	C₂³×C₈₉	1	8	yes	—
1065	#120	C₂³×C₈₉	1	2	yes	—
1066	#120	C₂³×C₈₉	1	2	yes	—
1067	#120	C₂³×C₈₉	1	4	yes	—
1068	#120	C₂³×C₈₉	1	8	yes	—
1069	#120	C₂³×C₈₉	1	8	yes	—
1070	#120	C₂³×C₈₉	1	4	yes	—
1071	#120	C₂³×C₈₉	1	4	yes	—
1072	#120	C₂³×C₈₉	1	8	yes	—
1073	#120	C₂³×C₈₉	1	4	yes	—
1074	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1075	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1076	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1077	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1078	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1079	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1080	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1081	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1082	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1083	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1084	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1085	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1086	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1087	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1088	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1089	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1090	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1091	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1092	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1093	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1094	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1095	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1096	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1097	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1098	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1099	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1100	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1101	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1102	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1103	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1104	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1105	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1106	#117	C₂³×C₈₉	1	2	yes	—
1107	#117	C₂³×C₈₉	1	1	yes	characteristic
1108	#117	C₂³×C₈₉	1	4	yes	—
1109	#117	C₂³×C₈₉	1	2	yes	—
1110	#117	C₂³×C₈₉	1	2	yes	—
1111	#117	C₂³×C₈₉	1	2	yes	—
1112	#117	C₂³×C₈₉	1	4	yes	—
1113	#117	C₂³×C₈₉	1	8	yes	—
1114	#117	C₂³×C₈₉	1	8	yes	—
1115	#117	C₂³×C₈₉	1	8	yes	—
1116	#117	C₂³×C₈₉	1	8	yes	—
1117	#117	C₂³×C₈₉	1	8	yes	—
1118	#117	C₂³×C₈₉	1	4	yes	—
1119	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1120	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1121	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1122	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1123	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1124	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1125	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1126	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1127	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1128	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1129	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1130	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1131	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1132	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1133	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1134	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1135	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1136	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1137	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1138	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1139	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1140	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1141	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1142	#41	—	2	16	no	—
1143	#41	—	2	4	no	—
1144	#41	—	2	8	no	—
1145	#41	—	4	2	no	—
1146	#41	—	4	4	no	—
1147	#41	—	4	2	no	—
1148	#41	—	4	16	no	—
1149	#41	—	4	4	no	—
1150	#41	—	4	16	no	—
1151	#41	—	4	4	no	—
1152	#41	—	4	8	no	—
1153	#41	—	4	8	no	—
1154	#41	—	4	8	no	—
1155	#41	—	4	4	no	—
1156	C₂×Q₈	—	4	8	no	—
1157	C₂×Q₈	—	4	4	no	—
1158	C₂×Q₈	—	4	4	no	—
1159	C₂×Q₈	—	4	8	no	—
1160	C₂×Q₈	—	4	2	no	—
1161	C₂×Q₈	—	4	4	no	—
1162	C₂×Q₈	—	4	4	no	—
1163	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1164	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1165	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1166	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1167	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1168	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1169	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1170	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1171	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1172	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1173	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1174	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1175	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1176	C₂×D₄	—	2	8	no	—
1177	C₂×D₄	—	4	2	no	—
1178	C₂×D₄	—	4	4	no	—
1179	C₂×D₄	—	4	8	no	—
1180	C₂×D₄	—	4	8	no	—
1181	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1182	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1183	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1184	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1185	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1186	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1187	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1188	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1189	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1190	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1191	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1192	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1193	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1194	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1195	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1196	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1197	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1198	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1199	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1200	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1201	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1202	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1203	C₂²×C₄	—	4	4	no	—
1204	C₂²×C₄	—	4	8	no	—
1205	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1206	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1207	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1208	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1210	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1211	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1212	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1213	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1214	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1215	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1216	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1217	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1218	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1219	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1220	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1221	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1222	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1223	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1224	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1225	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1226	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1227	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1228	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1229	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1230	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1231	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1232	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1233	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1234	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1235	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1236	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1237	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1238	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1239	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1240	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1241	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1242	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1243	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1244	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1245	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1246	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1247	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1248	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1249	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1250	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1251	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1252	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1253	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1254	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1255	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1256	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1257	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1258	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1259	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1260	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1261	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1262	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1263	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1264	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1265	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1266	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1267	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1268	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1269	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1270	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1271	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1272	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1273	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1274	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1275	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1276	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1277	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1278	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1279	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1280	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1281	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1282	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1283	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1284	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1285	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1286	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1287	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1288	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1289	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1290	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1291	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1292	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1293	C₄²	C₂⁴×C₈₉	1	2	yes	—
1294	C₄²	C₂⁴×C₈₉	1	2	yes	—
1295	C₄²	C₂⁴×C₈₉	1	2	yes	—
1296	C₄²	C₂⁴×C₈₉	1	4	yes	—
1297	C₄²	C₂⁴×C₈₉	1	2	yes	—
1298	C₄²	C₂⁴×C₈₉	1	8	yes	—
1299	C₄²	C₂⁴×C₈₉	1	4	yes	—
1300	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1301	C₄²	C₂⁴×C₈₉	1	4	yes	—
1302	C₄²	C₂⁴×C₈₉	1	4	yes	—
1303	C₄²	C₂⁴×C₈₉	1	8	yes	—
1304	C₄²	C₂⁴×C₈₉	1	8	yes	—
1305	C₂³	—	2	8	no	—
1306	C₂³	—	4	2	no	—
1307	C₂³	—	4	8	no	—
1308	C₂³	—	4	4	no	—
1309	C₂³	—	4	2	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	C₂⁵×C₈₉	1	2	yes	—
1312	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1313	C₂³	C₂⁵×C₈₉	1	4	yes	—
1314	C₂³	C₂⁵×C₈₉	1	4	yes	—
1315	C₂³	C₂⁵×C₈₉	1	2	yes	—
1316	C₂³	C₂⁵×C₈₉	1	2	yes	—
1317	Q₈	—	2	4	no	—
1318	Q₈	—	2	8	no	—
1319	Q₈	—	2	2	no	—
1320	Q₈	—	4	2	no	—
1321	Q₈	—	4	8	no	—
1322	Q₈	—	4	1	no	—
1323	Q₈	—	4	2	no	—
1324	Q₈	—	4	4	no	—
1325	Q₈	—	4	4	no	—
1326	Q₈	—	4	4	no	—
1327	Q₈	—	4	2	no	—
1328	Q₈	—	4	4	no	—
1329	Q₈	—	4	1	no	—
1330	D₄	—	2	8	no	—
1331	D₄	—	2	4	no	—
1332	D₄	—	2	16	no	—
1333	D₄	—	2	8	no	—
1334	D₄	—	2	4	no	—
1335	D₄	—	4	1	no	—
1336	D₄	—	4	2	no	—
1337	D₄	—	4	2	no	—
1338	D₄	—	4	4	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	8	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	4	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	2	no	—
1346	D₄	—	4	4	no	—
1347	D₄	—	4	4	no	—
1348	D₄	—	4	1	no	—
1349	D₄	—	4	2	no	—
1350	D₄	—	4	2	no	—
1351	D₄	H(5,𝔽₂)×C₈₉	1	4	yes	—
1352	C₂×C₄	—	2	16	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	8	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	8	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	4	2	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	8	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	8	no	—
1365	C₂×C₄	—	4	8	no	—
1366	C₂×C₄	—	4	4	no	—
1367	C₂×C₄	—	4	8	no	—
1368	C₂×C₄	—	4	2	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	8	no	—
1373	C₂×C₄	—	4	2	no	—
1374	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1375	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1377	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1378	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1379	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1380	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1381	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1382	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1383	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1384	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1385	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1386	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1387	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1388	C₂²	—	2	4	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	4	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	4	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	2	4	no	—
1396	C₂²	—	2	8	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	4	no	—
1399	C₂²	—	2	4	no	—
1400	C₂²	—	8	8	no	—
1401	C₂²	—	8	4	no	—
1402	C₂²	—	16	2	no	—
1403	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	4	yes	—
1404	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1405	C₄	—	2	4	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	8	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	2	4	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	2	8	no	—
1416	C₄	—	2	4	no	—
1417	C₄	—	2	2	no	—
1418	C₄	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1419	C₂	—	2	4	no	—
1420	C₂	—	4	2	no	—
1421	C₂	—	4	4	no	—
1422	C₂	—	4	2	no	—
1423	C₂	—	4	4	no	—
1424	C₂	—	4	1	no	—
1425	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1426	C₂	C₈₉×2₋¹⁺⁶	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₈₉×#3561	C₂	semidirect
2. C₈₉×#3560	C₂	semidirect
3. C₈₉×#3559	C₂	semidirect
4. C₈₉×#3552	C₂	semidirect
5. C₈₉×#3551	C₂	semidirect
6. C₈₉×#3550	C₂	semidirect
7. C₈₉×#3545	C₂	semidirect
8. C₈₉×#3544	C₂	semidirect
9. C₈₉×#3541	C₂	semidirect
10. C₈₉×#3538	C₂	semidirect
11. C₈₉×#3535	C₂	semidirect
12. C₈₉×#3533	C₂	semidirect
13. C₈₉×#3529	C₂	semidirect
14. C₂×#563×C₈₉	C₂	semidirect
15. C₈₉×#3521	C₂	semidirect
16. C₈₉×#3515	C₂	semidirect
17. C₈₉×#3500	C₂	semidirect
18. C₈₉×#3499	C₂	semidirect
19. C₈₉×#3489	C₂	semidirect
20. C₈₉×#3485	C₂	semidirect
21. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
22. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
24. C₂²×#41×C₈₉	C₂²	semidirect
25. #563×C₈₉	C₂²	semidirect
26. #563×C₈₉	C₂²	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #563×C₈₉	C₂²	semidirect
29. #563×C₈₉	C₂²	semidirect
30. #563×C₈₉	C₂²	semidirect
31. #563×C₈₉	C₂²	semidirect
32. #563×C₈₉	C₂²	semidirect
33. #563×C₈₉	C₂²	semidirect
34. #563×C₈₉	C₂²	semidirect
35. #563×C₈₉	C₂²	semidirect
36. #562×C₈₉	C₂²	semidirect
37. #562×C₈₉	C₂²	semidirect
38. #562×C₈₉	C₂²	semidirect
39. #562×C₈₉	C₂²	semidirect
40. H(3,𝔽₄)×C₈₉	C₂²	semidirect
41. #560×C₈₉	C₂²	semidirect
42. #560×C₈₉	C₂²	semidirect
43. #560×C₈₉	C₂²	semidirect
44. #559×C₈₉	C₂²	semidirect
45. Q₈²×C₈₉	C₂²	semidirect
46. #557×C₈₉	C₂²	semidirect
47. #556×C₈₉	C₂²	semidirect
48. #556×C₈₉	C₂²	semidirect
49. #555×C₈₉	C₂²	semidirect
50. #554×C₈₉	C₂²	semidirect
51. #554×C₈₉	C₂²	semidirect
52. #554×C₈₉	C₂²	semidirect
53. #554×C₈₉	C₂²	semidirect
54. #553×C₈₉	C₂²	semidirect
55. #553×C₈₉	C₂²	semidirect
56. #553×C₈₉	C₂²	semidirect
57. #553×C₈₉	C₂²	semidirect
58. #553×C₈₉	C₂²	semidirect
59. #552×C₈₉	C₂²	semidirect
60. #552×C₈₉	C₂²	semidirect
61. #552×C₈₉	C₂²	semidirect
62. #552×C₈₉	C₂²	semidirect
63. #552×C₈₉	C₂²	semidirect
64. #551×C₈₉	C₂²	semidirect
65. #551×C₈₉	C₂²	semidirect
66. #551×C₈₉	C₂²	semidirect
67. #551×C₈₉	C₂²	semidirect
68. #551×C₈₉	C₂²	semidirect
69. #551×C₈₉	C₂²	semidirect
70. D₄×Q₈×C₈₉	C₂²	semidirect
71. D₄×Q₈×C₈₉	C₂²	semidirect
72. D₄×Q₈×C₈₉	C₂²	semidirect
73. D₄×Q₈×C₈₉	C₂²	semidirect
74. #548×C₈₉	C₂²	semidirect
75. #548×C₈₉	C₂²	semidirect
76. #548×C₈₉	C₂²	semidirect
78. #547×C₈₉	C₂²	semidirect
79. #547×C₈₉	C₂²	semidirect
80. #547×C₈₉	C₂²	semidirect
81. #547×C₈₉	C₂²	semidirect
82. #547×C₈₉	C₂²	semidirect
83. #547×C₈₉	C₂²	semidirect
84. #547×C₈₉	C₂²	semidirect
85. #547×C₈₉	C₂²	semidirect
88. #546×C₈₉	C₂²	semidirect
89. #546×C₈₉	C₂²	semidirect
90. #546×C₈₉	C₂²	semidirect
91. #546×C₈₉	C₂²	semidirect
92. #546×C₈₉	C₂²	semidirect
93. #544×C₈₉	C₂²	semidirect
94. #544×C₈₉	C₂²	semidirect
95. #543×C₈₉	C₂²	semidirect
96. #542×C₈₉	C₂²	semidirect
97. #542×C₈₉	C₂²	semidirect
98. #542×C₈₉	C₂²	semidirect
99. #542×C₈₉	C₂²	semidirect
100. #542×C₈₉	C₂²	semidirect
101. #541×C₈₉	C₂²	semidirect
102. #541×C₈₉	C₂²	semidirect
103. #540×C₈₉	C₂²	semidirect
104. #539×C₈₉	C₂²	semidirect
105. #539×C₈₉	C₂²	semidirect
106. #539×C₈₉	C₂²	semidirect
107. #539×C₈₉	C₂²	semidirect
108. #539×C₈₉	C₂²	semidirect
109. #539×C₈₉	C₂²	semidirect
110. #538×C₈₉	C₂²	semidirect
111. #538×C₈₉	C₂²	semidirect
112. #538×C₈₉	C₂²	semidirect
113. #538×C₈₉	C₂²	semidirect
114. #538×C₈₉	C₂²	semidirect
115. #537×C₈₉	C₂²	semidirect
116. #537×C₈₉	C₂²	semidirect
119. #536×C₈₉	C₂²	semidirect
120. #536×C₈₉	C₂²	semidirect
121. #536×C₈₉	C₂²	semidirect
122. #536×C₈₉	C₂²	semidirect
123. #536×C₈₉	C₂²	semidirect
124. #536×C₈₉	C₂²	semidirect
125. #536×C₈₉	C₂²	semidirect
126. #536×C₈₉	C₂²	semidirect
128. #535×C₈₉	C₂²	semidirect
130. #534×C₈₉	C₂²	semidirect
131. #533×C₈₉	C₂²	semidirect
133. #532×C₈₉	C₂²	semidirect
134. #532×C₈₉	C₂²	semidirect
135. #532×C₈₉	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
137. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
138. #529×C₈₉	C₂²	semidirect
139. #529×C₈₉	C₂²	semidirect
140. #529×C₈₉	C₂²	semidirect
141. #529×C₈₉	C₂²	semidirect
142. #529×C₈₉	C₂²	semidirect
143. C₂×#126×C₈₉	C₂²	semidirect
144. C₂×#125×C₈₉	C₂²	semidirect
146. C₂×#124×C₈₉	C₂²	semidirect
148. #525×C₈₉	C₂²	semidirect
149. #525×C₈₉	C₂²	semidirect
150. #525×C₈₉	C₂²	semidirect
152. C₂×#123×C₈₉	C₂²	semidirect
153. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
154. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
155. #520×C₈₉	C₂²	semidirect
156. #518×C₈₉	C₂²	semidirect
157. C₄×#41×C₈₉	C₂²	semidirect
158. C₄×#41×C₈₉	C₂²	semidirect
705. #63063	C₈₉	direct (N × H)
714. #3561	C₂×C₈₉	semidirect
715. #3560	C₂×C₈₉	semidirect
716. #3559	C₂×C₈₉	semidirect
717. #3552	C₂×C₈₉	semidirect
718. #3551	C₂×C₈₉	semidirect
719. #3550	C₂×C₈₉	semidirect
720. #3545	C₂×C₈₉	semidirect
721. #3544	C₂×C₈₉	semidirect
722. #3541	C₂×C₈₉	semidirect
723. #3538	C₂×C₈₉	semidirect
724. #3535	C₂×C₈₉	semidirect
725. #3533	C₂×C₈₉	semidirect
726. #3529	C₂×C₈₉	semidirect
727. C₂×#563	C₂×C₈₉	semidirect
728. #3521	C₂×C₈₉	semidirect
729. #3515	C₂×C₈₉	semidirect
730. #3500	C₂×C₈₉	semidirect
731. #3499	C₂×C₈₉	semidirect
732. #3489	C₂×C₈₉	semidirect
733. #3485	C₂×C₈₉	semidirect
734. C₈₉	#63063	direct (N × H)
735. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
736. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
738. C₂²×#41	C₂²×C₈₉	semidirect
739. #563	C₂²×C₈₉	semidirect
740. #563	C₂²×C₈₉	semidirect
741. #563	C₂²×C₈₉	semidirect
742. #563	C₂²×C₈₉	semidirect
743. #563	C₂²×C₈₉	semidirect
744. #563	C₂²×C₈₉	semidirect
745. #563	C₂²×C₈₉	semidirect
746. #563	C₂²×C₈₉	semidirect
747. #563	C₂²×C₈₉	semidirect
748. #563	C₂²×C₈₉	semidirect
749. #563	C₂²×C₈₉	semidirect
750. #562	C₂²×C₈₉	semidirect
751. #562	C₂²×C₈₉	semidirect
752. #562	C₂²×C₈₉	semidirect
753. #562	C₂²×C₈₉	semidirect
754. H(3,𝔽₄)	C₂²×C₈₉	semidirect
755. #560	C₂²×C₈₉	semidirect
756. #560	C₂²×C₈₉	semidirect
757. #560	C₂²×C₈₉	semidirect
758. #559	C₂²×C₈₉	semidirect
759. Q₈²	C₂²×C₈₉	semidirect
760. #557	C₂²×C₈₉	semidirect
761. #556	C₂²×C₈₉	semidirect
762. #556	C₂²×C₈₉	semidirect
763. #555	C₂²×C₈₉	semidirect
764. #554	C₂²×C₈₉	semidirect
765. #554	C₂²×C₈₉	semidirect
766. #554	C₂²×C₈₉	semidirect
767. #554	C₂²×C₈₉	semidirect
768. #553	C₂²×C₈₉	semidirect
769. #553	C₂²×C₈₉	semidirect
770. #553	C₂²×C₈₉	semidirect
771. #553	C₂²×C₈₉	semidirect
772. #553	C₂²×C₈₉	semidirect
773. #552	C₂²×C₈₉	semidirect
774. #552	C₂²×C₈₉	semidirect
775. #552	C₂²×C₈₉	semidirect
776. #552	C₂²×C₈₉	semidirect
777. #552	C₂²×C₈₉	semidirect
778. #551	C₂²×C₈₉	semidirect
779. #551	C₂²×C₈₉	semidirect
780. #551	C₂²×C₈₉	semidirect
781. #551	C₂²×C₈₉	semidirect
782. #551	C₂²×C₈₉	semidirect
783. #551	C₂²×C₈₉	semidirect
784. D₄×Q₈	C₂²×C₈₉	semidirect
785. D₄×Q₈	C₂²×C₈₉	semidirect
786. D₄×Q₈	C₂²×C₈₉	semidirect
787. D₄×Q₈	C₂²×C₈₉	semidirect
788. #548	C₂²×C₈₉	semidirect
789. #548	C₂²×C₈₉	semidirect
790. #548	C₂²×C₈₉	semidirect
792. #547	C₂²×C₈₉	semidirect
793. #547	C₂²×C₈₉	semidirect
794. #547	C₂²×C₈₉	semidirect
795. #547	C₂²×C₈₉	semidirect
796. #547	C₂²×C₈₉	semidirect
797. #547	C₂²×C₈₉	semidirect
798. #547	C₂²×C₈₉	semidirect
799. #547	C₂²×C₈₉	semidirect
802. #546	C₂²×C₈₉	semidirect
803. #546	C₂²×C₈₉	semidirect
804. #546	C₂²×C₈₉	semidirect
805. #546	C₂²×C₈₉	semidirect
806. #546	C₂²×C₈₉	semidirect
807. #544	C₂²×C₈₉	semidirect
808. #544	C₂²×C₈₉	semidirect
809. #543	C₂²×C₈₉	semidirect
810. #542	C₂²×C₈₉	semidirect
811. #542	C₂²×C₈₉	semidirect
812. #542	C₂²×C₈₉	semidirect
813. #542	C₂²×C₈₉	semidirect
814. #542	C₂²×C₈₉	semidirect
815. #541	C₂²×C₈₉	semidirect
816. #541	C₂²×C₈₉	semidirect
817. #540	C₂²×C₈₉	semidirect
818. #539	C₂²×C₈₉	semidirect
819. #539	C₂²×C₈₉	semidirect
820. #539	C₂²×C₈₉	semidirect
821. #539	C₂²×C₈₉	semidirect
822. #539	C₂²×C₈₉	semidirect
823. #539	C₂²×C₈₉	semidirect
824. #538	C₂²×C₈₉	semidirect
825. #538	C₂²×C₈₉	semidirect
826. #538	C₂²×C₈₉	semidirect
827. #538	C₂²×C₈₉	semidirect
828. #538	C₂²×C₈₉	semidirect
829. #537	C₂²×C₈₉	semidirect
830. #537	C₂²×C₈₉	semidirect
833. #536	C₂²×C₈₉	semidirect
834. #536	C₂²×C₈₉	semidirect
835. #536	C₂²×C₈₉	semidirect
836. #536	C₂²×C₈₉	semidirect
837. #536	C₂²×C₈₉	semidirect
838. #536	C₂²×C₈₉	semidirect
839. #536	C₂²×C₈₉	semidirect
840. #536	C₂²×C₈₉	semidirect
842. #535	C₂²×C₈₉	semidirect
844. #534	C₂²×C₈₉	semidirect
845. #533	C₂²×C₈₉	semidirect
847. #532	C₂²×C₈₉	semidirect
848. #532	C₂²×C₈₉	semidirect
849. #532	C₂²×C₈₉	semidirect
850. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
851. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
852. #529	C₂²×C₈₉	semidirect
853. #529	C₂²×C₈₉	semidirect
854. #529	C₂²×C₈₉	semidirect
855. #529	C₂²×C₈₉	semidirect
856. #529	C₂²×C₈₉	semidirect
857. C₂×#126	C₂²×C₈₉	semidirect
858. C₂×#125	C₂²×C₈₉	semidirect
860. C₂×#124	C₂²×C₈₉	semidirect
862. #525	C₂²×C₈₉	semidirect
863. #525	C₂²×C₈₉	semidirect
864. #525	C₂²×C₈₉	semidirect
866. C₂×#123	C₂²×C₈₉	semidirect
867. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
868. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
869. #520	C₂²×C₈₉	semidirect
870. #518	C₂²×C₈₉	semidirect
871. C₄×#41	C₂²×C₈₉	semidirect
872. C₄×#41	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×#3561	2
C₈₉×#3560	2
C₈₉×#3559	2
C₈₉×#3552	2
C₈₉×#3551	2
C₈₉×#3550	2
C₈₉×#3545	2
C₈₉×#3544	2
C₈₉×#3541	2
C₈₉×#3538	2
C₈₉×#3535	2
C₈₉×#3533	2
C₈₉×#3529	2
C₂×#563×C₈₉	2
C₈₉×#3521	2
C₈₉×#3515	2
C₈₉×#3500	2
C₈₉×#3499	2
C₈₉×#3489	2
C₈₉×#3485	2
#63063	89

Subgroups — C89×#63063 #36440911

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#63063 #36440911