Subgroups — C₈₉×#62875 #36440723

Order 22784.

7138 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3551	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3548	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3547	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3546	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3542	C₂	1	8	yes	maximal, complemented
6	C₈₉×#3542	C₂	1	4	yes	maximal, complemented
7	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
8	C₈₉×#3539	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3536	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
11	C₈₉×#3534	C₂	1	4	yes	maximal, complemented
12	C₈₉×#3495	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3494	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3492	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3489	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3488	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3449	C₂	1	2	yes	maximal, complemented
20	C₂×#537×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×2₋¹⁺⁴×C₈₉	C₂²	1	1	yes	characteristic, complemented
22	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	1	yes	characteristic
23	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
24	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
25	C₂²×#41×C₈₉	C₂²	1	2	yes	complemented
26	#563×C₈₉	C₂²	1	8	yes	complemented
27	#562×C₈₉	C₂²	1	8	yes	complemented
28	#562×C₈₉	C₂²	1	8	yes	complemented
29	#562×C₈₉	C₂²	1	8	yes	complemented
30	#562×C₈₉	C₂²	1	8	yes	complemented
31	#560×C₈₉	C₂²	1	8	yes	complemented
32	#560×C₈₉	C₂²	1	8	yes	complemented
33	#560×C₈₉	C₂²	1	8	yes	complemented
34	#556×C₈₉	C₂²	1	4	yes	complemented
35	#555×C₈₉	C₂²	1	4	yes	complemented
36	#555×C₈₉	C₂²	1	8	yes	complemented
37	#554×C₈₉	C₂²	1	4	yes	complemented
38	#554×C₈₉	C₂²	1	4	yes	complemented
39	#554×C₈₉	C₂²	1	4	yes	complemented
40	#554×C₈₉	C₂²	1	8	yes	complemented
41	#553×C₈₉	C₂²	1	4	yes	complemented
42	#553×C₈₉	C₂²	1	4	yes	complemented
43	#553×C₈₉	C₂²	1	4	yes	complemented
44	#553×C₈₉	C₂²	1	4	yes	complemented
45	#553×C₈₉	C₂²	1	8	yes	complemented
46	#553×C₈₉	C₂²	1	8	yes	complemented
47	#552×C₈₉	C₂²	1	4	yes	complemented
48	#552×C₈₉	C₂²	1	4	yes	complemented
49	#552×C₈₉	C₂²	1	8	yes	complemented
50	#552×C₈₉	C₂²	1	4	yes	complemented
51	#552×C₈₉	C₂²	1	4	yes	complemented
52	#551×C₈₉	C₂²	1	8	yes	complemented
53	#551×C₈₉	C₂²	1	8	yes	complemented
54	#551×C₈₉	C₂²	1	8	yes	complemented
55	#550×C₈₉	C₂²	1	4	yes	complemented
56	#550×C₈₉	C₂²	1	4	yes	complemented
57	#550×C₈₉	C₂²	1	4	yes	complemented
58	#550×C₈₉	C₂²	1	8	yes	complemented
59	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
60	#548×C₈₉	C₂²	1	4	yes	complemented
61	#548×C₈₉	C₂²	1	4	yes	complemented
62	#548×C₈₉	C₂²	1	4	yes	complemented
63	#548×C₈₉	C₂²	1	4	yes	complemented
64	#547×C₈₉	C₂²	1	4	yes	complemented
65	#547×C₈₉	C₂²	1	4	yes	complemented
66	#547×C₈₉	C₂²	1	8	yes	complemented
67	#547×C₈₉	C₂²	1	4	yes	complemented
68	#547×C₈₉	C₂²	1	4	yes	complemented
69	#547×C₈₉	C₂²	1	4	yes	complemented
70	#547×C₈₉	C₂²	1	4	yes	complemented
71	#546×C₈₉	C₂²	1	4	yes	complemented
72	#546×C₈₉	C₂²	1	4	yes	complemented
73	#546×C₈₉	C₂²	1	8	yes	complemented
74	#546×C₈₉	C₂²	1	4	yes	complemented
75	#546×C₈₉	C₂²	1	8	yes	complemented
76	#546×C₈₉	C₂²	1	4	yes	complemented
77	#546×C₈₉	C₂²	1	8	yes	complemented
78	#546×C₈₉	C₂²	1	8	yes	complemented
79	#546×C₈₉	C₂²	1	8	yes	complemented
80	D₄²×C₈₉	C₂²	1	8	yes	complemented
81	D₄²×C₈₉	C₂²	1	4	yes	complemented
82	#544×C₈₉	C₂²	1	2	yes	complemented
83	#544×C₈₉	C₂²	1	4	yes	complemented
84	#543×C₈₉	C₂²	1	4	yes	complemented
85	#542×C₈₉	C₂²	1	4	yes	complemented
86	#542×C₈₉	C₂²	1	4	yes	complemented
87	#542×C₈₉	C₂²	1	8	yes	complemented
88	#542×C₈₉	C₂²	1	8	yes	complemented
89	#541×C₈₉	C₂²	1	4	yes	complemented
90	#540×C₈₉	C₂²	1	4	yes	complemented
91	#540×C₈₉	C₂²	1	8	yes	complemented
92	#540×C₈₉	C₂²	1	8	yes	complemented
93	#540×C₈₉	C₂²	1	8	yes	complemented
94	#540×C₈₉	C₂²	1	8	yes	complemented
95	#539×C₈₉	C₂²	1	8	yes	complemented
96	#539×C₈₉	C₂²	1	4	yes	complemented
97	#539×C₈₉	C₂²	1	8	yes	complemented
98	#539×C₈₉	C₂²	1	4	yes	complemented
99	#538×C₈₉	C₂²	1	8	yes	complemented
100	#538×C₈₉	C₂²	1	4	yes	complemented
101	#538×C₈₉	C₂²	1	4	yes	complemented
102	#538×C₈₉	C₂²	1	8	yes	complemented
103	#538×C₈₉	C₂²	1	8	yes	complemented
104	#537×C₈₉	C₂²	1	2	yes	—
105	#537×C₈₉	C₂²	1	4	yes	complemented
106	#537×C₈₉	C₂²	1	4	yes	complemented
107	#537×C₈₉	C₂²	1	4	yes	complemented
108	#537×C₈₉	C₂²	1	4	yes	complemented
109	#537×C₈₉	C₂²	1	2	yes	complemented
110	#537×C₈₉	C₂²	1	2	yes	complemented
111	#537×C₈₉	C₂²	1	2	yes	complemented
112	#537×C₈₉	C₂²	1	2	yes	complemented
113	#537×C₈₉	C₂²	1	4	yes	complemented
114	#537×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	4	yes	complemented
118	#536×C₈₉	C₂²	1	2	yes	complemented
119	#536×C₈₉	C₂²	1	2	yes	complemented
120	#536×C₈₉	C₂²	1	2	yes	complemented
121	#536×C₈₉	C₂²	1	4	yes	complemented
122	#535×C₈₉	C₂²	1	4	yes	complemented
123	#535×C₈₉	C₂²	1	2	yes	complemented
124	#535×C₈₉	C₂²	1	2	yes	complemented
125	#535×C₈₉	C₂²	1	2	yes	complemented
126	#535×C₈₉	C₂²	1	4	yes	complemented
127	#535×C₈₉	C₂²	1	4	yes	complemented
128	#535×C₈₉	C₂²	1	8	yes	complemented
129	#534×C₈₉	C₂²	1	4	yes	complemented
130	#534×C₈₉	C₂²	1	4	yes	complemented
131	#534×C₈₉	C₂²	1	4	yes	complemented
132	#534×C₈₉	C₂²	1	4	yes	complemented
133	#533×C₈₉	C₂²	1	4	yes	complemented
134	#532×C₈₉	C₂²	1	4	yes	complemented
135	#532×C₈₉	C₂²	1	4	yes	complemented
136	#532×C₈₉	C₂²	1	4	yes	complemented
137	#529×C₈₉	C₂²	1	4	yes	complemented
138	#529×C₈₉	C₂²	1	4	yes	complemented
139	#525×C₈₉	C₂²	1	2	yes	—
140	#525×C₈₉	C₂²	1	2	yes	complemented
141	#525×C₈₉	C₂²	1	2	yes	complemented
142	#525×C₈₉	C₂²	1	2	yes	complemented
143	#525×C₈₉	C₂²	1	4	yes	complemented
144	#525×C₈₉	C₂²	1	4	yes	complemented
145	#525×C₈₉	C₂²	1	4	yes	complemented
146	#525×C₈₉	C₂²	1	4	yes	complemented
147	#525×C₈₉	C₂²	1	4	yes	complemented
148	#525×C₈₉	C₂²	1	8	yes	complemented
149	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
150	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
151	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
152	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
153	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
154	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
155	C₂×#121×C₈₉	C₂²	1	4	yes	complemented
156	C₂×#121×C₈₉	C₂²	1	4	yes	complemented
157	#520×C₈₉	C₂²	1	2	yes	complemented
158	#520×C₈₉	C₂²	1	2	yes	complemented
159	#519×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#518×C₈₉	C₂²	1	1	yes	characteristic, complemented
161	C₂×#117×C₈₉	C₂²	1	2	yes	complemented
162	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
163	2₋¹⁺⁴×C₈₉	—	4	4	no	—
164	H(5,𝔽₂)×C₈₉	—	4	4	no	—
165	C₂×#41×C₈₉	—	4	4	no	—
166	C₂×#41×C₈₉	—	4	4	no	—
167	C₂×#41×C₈₉	—	4	8	no	—
168	C₂×#41×C₈₉	C₂³	1	2	yes	—
169	C₂×#41×C₈₉	C₂³	1	2	yes	—
170	C₂×#41×C₈₉	C₂³	1	2	yes	—
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	4	yes	—
175	C₂×#41×C₈₉	C₂³	1	2	yes	—
176	C₂×#41×C₈₉	C₂³	1	4	yes	—
177	C₂×#41×C₈₉	C₂³	1	2	yes	—
178	C₂×#41×C₈₉	C₂³	1	4	yes	—
179	C₂×#41×C₈₉	C₂³	1	2	yes	—
180	C₂×#41×C₈₉	C₂³	1	4	yes	—
181	C₂×#41×C₈₉	C₂³	1	4	yes	—
182	C₂×#41×C₈₉	C₂³	1	2	yes	—
183	C₂×#41×C₈₉	C₂³	1	8	yes	—
184	C₂×#41×C₈₉	C₂³	1	8	yes	—
185	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
186	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
187	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
188	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
189	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
192	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
193	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
194	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
195	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
196	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
197	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
198	C₂²×D₄×C₈₉	C₂³	1	8	yes	—
199	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
201	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
202	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
203	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
204	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
205	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
206	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
207	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
208	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
209	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
210	#127×C₈₉	C₂³	1	4	yes	—
211	#127×C₈₉	C₂³	1	4	yes	—
212	#127×C₈₉	C₂³	1	4	yes	—
213	#127×C₈₉	C₂³	1	8	yes	—
214	#127×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	8	yes	—
219	#126×C₈₉	C₂³	1	8	yes	—
220	#126×C₈₉	C₂³	1	8	yes	—
221	#126×C₈₉	C₂³	1	8	yes	—
222	#126×C₈₉	C₂³	1	8	yes	—
223	#125×C₈₉	C₂³	1	4	yes	—
224	#125×C₈₉	C₂³	1	4	yes	—
225	#125×C₈₉	C₂³	1	8	yes	—
226	#125×C₈₉	C₂³	1	8	yes	—
227	#125×C₈₉	C₂³	1	8	yes	—
228	#125×C₈₉	C₂³	1	8	yes	—
229	#125×C₈₉	C₂³	1	8	yes	—
230	#124×C₈₉	C₂³	1	4	yes	—
231	#124×C₈₉	C₂³	1	4	yes	—
232	#124×C₈₉	C₂³	1	4	yes	—
233	#124×C₈₉	C₂³	1	4	yes	—
234	#124×C₈₉	C₂³	1	4	yes	—
235	#124×C₈₉	C₂³	1	4	yes	—
236	#124×C₈₉	C₂³	1	8	yes	—
237	#124×C₈₉	C₂³	1	8	yes	—
238	#124×C₈₉	C₂³	1	8	yes	—
239	#124×C₈₉	C₂³	1	8	yes	—
240	#124×C₈₉	C₂³	1	8	yes	—
241	#124×C₈₉	C₂³	1	8	yes	—
242	#123×C₈₉	C₂³	1	4	yes	—
243	#123×C₈₉	C₂³	1	8	yes	—
244	#123×C₈₉	C₂³	1	8	yes	—
245	#123×C₈₉	C₂³	1	8	yes	—
246	#123×C₈₉	C₂³	1	4	yes	—
247	#123×C₈₉	C₂³	1	4	yes	—
248	#123×C₈₉	C₂³	1	4	yes	—
249	#123×C₈₉	C₂³	1	4	yes	—
250	#123×C₈₉	C₂³	1	4	yes	—
251	#123×C₈₉	C₂³	1	4	yes	—
252	#123×C₈₉	C₂³	1	4	yes	—
253	#123×C₈₉	C₂³	1	8	yes	—
254	#123×C₈₉	C₂³	1	8	yes	—
255	#123×C₈₉	C₂³	1	8	yes	—
256	#123×C₈₉	C₂³	1	8	yes	—
257	#123×C₈₉	C₂³	1	8	yes	—
258	#123×C₈₉	C₂³	1	8	yes	—
259	#123×C₈₉	C₂³	1	8	yes	—
260	#123×C₈₉	C₂³	1	8	yes	—
261	#123×C₈₉	C₂³	1	8	yes	—
262	#123×C₈₉	C₂³	1	8	yes	—
263	#123×C₈₉	C₂³	1	8	yes	—
264	#123×C₈₉	C₂³	1	8	yes	—
265	#123×C₈₉	C₂³	1	8	yes	—
266	#123×C₈₉	C₂³	1	8	yes	—
267	#123×C₈₉	C₂³	1	8	yes	—
268	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
269	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
270	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
271	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
272	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
273	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
274	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
275	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
276	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
277	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
278	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
279	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
280	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
281	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
282	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
283	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
284	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
285	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
286	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
287	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
288	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
289	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
290	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
291	C₂²⋊Q₈×C₈₉	C₂³	1	4	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	8	yes	—
296	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
297	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
298	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
299	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
300	C₂²⋊Q₈×C₈₉	C₂³	1	8	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	#121×C₈₉	C₂³	1	2	yes	—
305	#121×C₈₉	C₂³	1	4	yes	—
306	#121×C₈₉	C₂³	1	4	yes	—
307	#121×C₈₉	C₂³	1	4	yes	—
308	#121×C₈₉	C₂³	1	4	yes	—
309	#121×C₈₉	C₂³	1	8	yes	—
310	#121×C₈₉	C₂³	1	4	yes	—
311	#121×C₈₉	C₂³	1	8	yes	—
312	#121×C₈₉	C₂³	1	4	yes	—
313	#121×C₈₉	C₂³	1	4	yes	—
314	#121×C₈₉	C₂³	1	4	yes	—
315	#121×C₈₉	C₂³	1	8	yes	—
316	#121×C₈₉	C₂³	1	8	yes	—
317	#121×C₈₉	C₂³	1	8	yes	—
318	#121×C₈₉	C₂³	1	8	yes	—
319	#121×C₈₉	C₂³	1	8	yes	—
320	#121×C₈₉	C₂³	1	2	yes	—
321	#121×C₈₉	C₂³	1	2	yes	—
322	#121×C₈₉	C₂³	1	2	yes	—
323	#121×C₈₉	C₂³	1	4	yes	—
324	#121×C₈₉	C₂³	1	4	yes	—
325	#121×C₈₉	C₂³	1	4	yes	—
326	#121×C₈₉	C₂³	1	4	yes	—
327	#121×C₈₉	C₂³	1	2	yes	—
328	#121×C₈₉	C₂³	1	2	yes	—
329	#121×C₈₉	C₂³	1	4	yes	—
330	#121×C₈₉	C₂³	1	2	yes	—
331	#121×C₈₉	C₂³	1	2	yes	—
332	#121×C₈₉	C₂³	1	4	yes	—
333	#121×C₈₉	C₂³	1	8	yes	—
334	#121×C₈₉	C₂³	1	4	yes	—
335	#121×C₈₉	C₂³	1	8	yes	—
336	#121×C₈₉	C₂³	1	4	yes	—
337	#121×C₈₉	C₂³	1	4	yes	—
338	#121×C₈₉	C₂³	1	4	yes	—
339	#121×C₈₉	C₂³	1	4	yes	—
340	#121×C₈₉	C₂³	1	4	yes	—
341	#121×C₈₉	C₂³	1	4	yes	—
342	#121×C₈₉	C₂³	1	4	yes	—
343	#121×C₈₉	C₂³	1	4	yes	—
344	#121×C₈₉	C₂³	1	4	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	#121×C₈₉	C₂³	1	8	yes	—
352	#121×C₈₉	C₂³	1	8	yes	—
353	#121×C₈₉	C₂³	1	8	yes	—
354	#121×C₈₉	C₂³	1	8	yes	—
355	#121×C₈₉	C₂³	1	8	yes	—
356	#121×C₈₉	C₂³	1	8	yes	—
357	#121×C₈₉	C₂³	1	8	yes	—
358	#120×C₈₉	C₂³	1	4	yes	—
359	#120×C₈₉	C₂³	1	4	yes	—
360	#120×C₈₉	C₂³	1	4	yes	—
361	#120×C₈₉	C₂³	1	4	yes	—
362	#120×C₈₉	C₂³	1	4	yes	—
363	#120×C₈₉	C₂³	1	4	yes	—
364	#120×C₈₉	C₂³	1	4	yes	—
365	#120×C₈₉	C₂³	1	8	yes	—
366	#120×C₈₉	C₂³	1	4	yes	—
367	#120×C₈₉	C₂³	1	8	yes	—
368	#120×C₈₉	C₂³	1	8	yes	—
369	#120×C₈₉	C₂³	1	8	yes	—
370	#120×C₈₉	C₂³	1	8	yes	—
371	#120×C₈₉	C₂³	1	8	yes	—
372	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
373	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
374	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
375	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
376	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
377	C₄×D₄×C₈₉	C₂³	1	4	yes	—
378	C₄×D₄×C₈₉	C₂³	1	4	yes	—
379	C₄×D₄×C₈₉	C₂³	1	8	yes	—
380	C₄×D₄×C₈₉	C₂³	1	8	yes	—
381	C₄×D₄×C₈₉	C₂³	1	4	yes	—
382	C₄×D₄×C₈₉	C₂³	1	4	yes	—
383	C₄×D₄×C₈₉	C₂³	1	4	yes	—
384	C₄×D₄×C₈₉	C₂³	1	4	yes	—
385	C₄×D₄×C₈₉	C₂³	1	4	yes	—
386	C₄×D₄×C₈₉	C₂³	1	4	yes	—
387	C₄×D₄×C₈₉	C₂³	1	4	yes	—
388	C₄×D₄×C₈₉	C₂³	1	4	yes	—
389	C₄×D₄×C₈₉	C₂³	1	4	yes	—
390	C₄×D₄×C₈₉	C₂³	1	4	yes	—
391	C₄×D₄×C₈₉	C₂³	1	8	yes	—
392	C₄×D₄×C₈₉	C₂³	1	8	yes	—
393	C₄×D₄×C₈₉	C₂³	1	8	yes	—
394	C₄×D₄×C₈₉	C₂³	1	8	yes	—
395	C₄×D₄×C₈₉	C₂³	1	8	yes	—
396	C₄×D₄×C₈₉	C₂³	1	8	yes	—
397	C₄×D₄×C₈₉	C₂³	1	8	yes	—
398	C₄×D₄×C₈₉	C₂³	1	8	yes	—
399	C₄×D₄×C₈₉	C₂³	1	8	yes	—
400	C₄×D₄×C₈₉	C₂³	1	8	yes	—
401	C₄×D₄×C₈₉	C₂³	1	8	yes	—
402	#117×C₈₉	C₂³	1	2	yes	—
403	#117×C₈₉	C₂³	1	2	yes	—
404	#117×C₈₉	C₂³	1	4	yes	—
405	#117×C₈₉	C₂³	1	4	yes	—
406	#117×C₈₉	C₂³	1	2	yes	—
407	#117×C₈₉	C₂³	1	2	yes	—
408	#117×C₈₉	C₂³	1	4	yes	—
409	#117×C₈₉	C₂³	1	4	yes	—
410	#117×C₈₉	C₂³	1	4	yes	—
411	#117×C₈₉	C₂³	1	8	yes	—
412	#117×C₈₉	C₂³	1	8	yes	—
413	#117×C₈₉	C₂³	1	8	yes	—
414	#117×C₈₉	C₂³	1	8	yes	—
415	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
416	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
417	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
418	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
419	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
420	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
421	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
422	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
423	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
424	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
425	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
426	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
427	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
428	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
429	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
430	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
431	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
432	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
433	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
434	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
435	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
436	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
437	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
438	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
439	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
440	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
441	#41×C₈₉	—	2	8	no	—
442	#41×C₈₉	—	2	8	no	—
443	#41×C₈₉	—	4	4	no	—
444	#41×C₈₉	—	4	4	no	—
445	#41×C₈₉	—	4	4	no	—
446	#41×C₈₉	—	4	4	no	—
447	#41×C₈₉	—	4	8	no	—
448	#41×C₈₉	—	4	8	no	—
449	#41×C₈₉	—	4	8	no	—
450	#41×C₈₉	—	4	8	no	—
451	#41×C₈₉	—	4	8	no	—
452	#41×C₈₉	—	4	4	no	—
453	#41×C₈₉	—	4	4	no	—
454	#41×C₈₉	—	4	8	no	—
455	#41×C₈₉	—	4	8	no	—
456	#41×C₈₉	—	8	8	no	—
457	#41×C₈₉	—	8	8	no	—
458	C₂×Q₈×C₈₉	—	2	4	no	—
459	C₂×Q₈×C₈₉	—	4	2	no	—
460	C₂×Q₈×C₈₉	—	4	4	no	—
461	C₂×Q₈×C₈₉	—	4	8	no	—
462	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
463	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
464	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
465	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
466	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
467	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
468	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
469	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
470	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
471	C₂×D₄×C₈₉	—	2	4	no	—
472	C₂×D₄×C₈₉	—	4	4	no	—
473	C₂×D₄×C₈₉	—	4	8	no	—
474	C₂×D₄×C₈₉	—	4	2	no	—
475	C₂×D₄×C₈₉	—	4	4	no	—
476	C₂×D₄×C₈₉	—	4	4	no	—
477	C₂×D₄×C₈₉	—	4	8	no	—
478	C₂×D₄×C₈₉	—	4	8	no	—
479	C₂×D₄×C₈₉	—	8	4	no	—
480	C₂×D₄×C₈₉	—	8	8	no	—
481	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
482	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
483	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
484	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
485	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
486	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
487	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
488	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
489	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
490	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
491	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
492	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
493	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
494	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
495	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
496	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
497	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
498	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
499	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
501	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
502	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
503	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
504	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
505	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
506	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
507	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
508	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
509	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
511	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
512	C₂²×C₄×C₈₉	—	2	4	no	—
513	C₂²×C₄×C₈₉	—	2	8	no	—
514	C₂²×C₄×C₈₉	—	4	8	no	—
515	C₂²×C₄×C₈₉	—	4	4	no	—
516	C₂²×C₄×C₈₉	—	8	2	no	—
517	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
519	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
520	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
521	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
522	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
523	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
525	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
526	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
527	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
529	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
530	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
531	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
532	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
533	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
534	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
535	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
536	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
537	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
538	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
539	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
540	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
541	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
542	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
545	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
546	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
547	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
548	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
549	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
550	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
551	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
552	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
553	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
554	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
555	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
556	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
557	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
558	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
559	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
560	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
561	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
562	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
563	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
564	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
565	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
566	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
567	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
568	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
569	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
572	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
573	C₄⋊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	8	yes	—
578	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
579	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
580	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
581	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
582	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
583	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
584	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
585	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
586	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
587	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
588	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
589	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
590	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
591	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
592	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
593	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
594	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
595	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
596	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
597	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
598	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
599	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
600	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
601	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
602	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
604	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
605	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
606	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
607	C₄²×C₈₉	C₂⁴	1	4	yes	—
608	C₄²×C₈₉	C₂⁴	1	4	yes	—
609	C₄²×C₈₉	C₂⁴	1	4	yes	—
610	C₄²×C₈₉	C₂⁴	1	4	yes	—
611	C₄²×C₈₉	C₂⁴	1	8	yes	—
612	C₄²×C₈₉	C₂⁴	1	8	yes	—
613	C₄²×C₈₉	C₂⁴	1	8	yes	—
614	C₂³×C₈₉	—	2	2	no	—
615	C₂³×C₈₉	—	2	4	no	—
616	C₂³×C₈₉	—	2	4	no	—
617	C₂³×C₈₉	—	4	1	no	—
618	C₂³×C₈₉	—	4	1	no	—
619	C₂³×C₈₉	—	4	4	no	—
620	C₂³×C₈₉	—	4	2	no	—
621	C₂³×C₈₉	—	4	2	no	—
622	C₂³×C₈₉	—	4	4	no	—
623	C₂³×C₈₉	—	4	2	no	—
624	C₂³×C₈₉	—	4	2	no	—
625	C₂³×C₈₉	—	4	4	no	—
626	C₂³×C₈₉	—	4	4	no	—
627	C₂³×C₈₉	—	4	4	no	—
628	C₂³×C₈₉	—	4	4	no	—
629	C₂³×C₈₉	C₂⁵	1	2	yes	—
630	C₂³×C₈₉	C₂⁵	1	4	yes	—
631	C₂³×C₈₉	C₂⁵	1	4	yes	—
632	C₂³×C₈₉	C₂⁵	1	2	yes	—
633	C₂³×C₈₉	C₂⁵	1	2	yes	—
634	C₂³×C₈₉	C₂⁵	1	4	yes	—
635	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
636	Q₈×C₈₉	—	2	8	no	—
637	Q₈×C₈₉	—	2	4	no	—
638	Q₈×C₈₉	—	2	4	no	—
639	Q₈×C₈₉	—	4	4	no	—
640	Q₈×C₈₉	—	4	1	no	—
641	Q₈×C₈₉	—	4	2	no	—
642	Q₈×C₈₉	—	4	1	no	—
643	Q₈×C₈₉	—	4	4	no	—
644	Q₈×C₈₉	—	4	8	no	—
645	D₄×C₈₉	—	2	8	no	—
646	D₄×C₈₉	—	2	8	no	—
647	D₄×C₈₉	—	2	8	no	—
648	D₄×C₈₉	—	2	4	no	—
649	D₄×C₈₉	—	2	4	no	—
650	D₄×C₈₉	—	4	8	no	—
651	D₄×C₈₉	—	4	1	no	—
652	D₄×C₈₉	—	4	2	no	—
653	D₄×C₈₉	—	4	2	no	—
654	D₄×C₈₉	—	4	1	no	—
655	D₄×C₈₉	—	4	2	no	—
656	D₄×C₈₉	—	4	2	no	—
657	D₄×C₈₉	—	4	2	no	—
658	D₄×C₈₉	—	4	4	no	—
659	D₄×C₈₉	—	4	4	no	—
660	D₄×C₈₉	—	4	4	no	—
661	D₄×C₈₉	—	4	8	no	—
662	D₄×C₈₉	—	4	8	no	—
663	D₄×C₈₉	—	4	4	no	—
664	D₄×C₈₉	—	4	8	no	—
665	D₄×C₈₉	—	4	8	no	—
666	D₄×C₈₉	—	4	8	no	—
667	D₄×C₈₉	—	4	4	no	—
668	D₄×C₈₉	—	4	4	no	—
669	D₄×C₈₉	—	4	4	no	—
670	D₄×C₈₉	—	4	8	no	—
671	D₄×C₈₉	—	4	4	no	—
672	D₄×C₈₉	—	4	4	no	—
673	D₄×C₈₉	—	4	4	no	—
674	D₄×C₈₉	—	4	4	no	—
675	D₄×C₈₉	—	4	4	no	—
676	C₂×C₄×C₈₉	—	2	2	no	—
677	C₂×C₄×C₈₉	—	2	4	no	—
678	C₂×C₄×C₈₉	—	2	4	no	—
679	C₂×C₄×C₈₉	—	2	4	no	—
680	C₂×C₄×C₈₉	—	2	4	no	—
681	C₂×C₄×C₈₉	—	2	4	no	—
682	C₂×C₄×C₈₉	—	2	4	no	—
683	C₂×C₄×C₈₉	—	2	4	no	—
684	C₂×C₄×C₈₉	—	2	4	no	—
685	C₂×C₄×C₈₉	—	2	8	no	—
686	C₂×C₄×C₈₉	—	2	8	no	—
687	C₂×C₄×C₈₉	—	4	4	no	—
688	C₂×C₄×C₈₉	—	4	4	no	—
689	C₂×C₄×C₈₉	—	4	4	no	—
690	C₂×C₄×C₈₉	—	4	4	no	—
691	C₂×C₄×C₈₉	—	4	4	no	—
692	C₂×C₄×C₈₉	—	4	4	no	—
693	C₂×C₄×C₈₉	—	4	8	no	—
694	C₂×C₄×C₈₉	—	4	4	no	—
695	C₂×C₄×C₈₉	—	4	4	no	—
696	C₂×C₄×C₈₉	—	4	4	no	—
697	C₂×C₄×C₈₉	—	4	8	no	—
698	C₂×C₄×C₈₉	—	4	8	no	—
699	C₂×C₄×C₈₉	—	4	8	no	—
700	C₂×C₄×C₈₉	—	4	4	no	—
701	C₂×C₄×C₈₉	—	4	4	no	—
702	C₂×C₄×C₈₉	H(5,𝔽₂)	1	4	yes	—
703	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
704	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
705	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
706	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
707	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
708	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
709	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
710	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
711	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
712	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
713	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
714	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
715	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
716	C₂²×C₈₉	—	2	1	no	—
717	C₂²×C₈₉	—	2	1	no	—
718	C₂²×C₈₉	—	2	2	no	—
719	C₂²×C₈₉	—	2	2	no	—
720	C₂²×C₈₉	—	2	2	no	—
721	C₂²×C₈₉	—	2	4	no	—
722	C₂²×C₈₉	—	2	4	no	—
723	C₂²×C₈₉	—	2	4	no	—
724	C₂²×C₈₉	—	2	2	no	—
725	C₂²×C₈₉	—	2	2	no	—
726	C₂²×C₈₉	—	2	4	no	—
727	C₂²×C₈₉	—	2	4	no	—
728	C₂²×C₈₉	—	2	4	no	—
729	C₂²×C₈₉	—	2	2	no	—
730	C₂²×C₈₉	—	2	2	no	—
731	C₂²×C₈₉	—	2	4	no	—
732	C₂²×C₈₉	—	2	2	no	—
733	C₂²×C₈₉	—	2	4	no	—
734	C₂²×C₈₉	—	2	2	no	—
735	C₂²×C₈₉	—	2	4	no	—
736	C₂²×C₈₉	—	4	4	no	—
737	C₂²×C₈₉	—	8	4	no	—
738	C₂²×C₈₉	—	8	4	no	—
739	C₂²×C₈₉	—	8	8	no	—
740	C₂²×C₈₉	—	16	4	no	—
741	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
742	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
743	C₄×C₈₉	—	2	1	no	—
744	C₄×C₈₉	—	2	1	no	—
745	C₄×C₈₉	—	2	2	no	—
746	C₄×C₈₉	—	2	2	no	—
747	C₄×C₈₉	—	2	4	no	—
748	C₄×C₈₉	—	2	4	no	—
749	C₄×C₈₉	—	2	4	no	—
750	C₄×C₈₉	—	2	8	no	—
751	C₄×C₈₉	—	2	4	no	—
752	C₄×C₈₉	—	2	4	no	—
753	C₄×C₈₉	—	2	4	no	—
754	C₄×C₈₉	—	2	4	no	—
755	C₄×C₈₉	C₂×H(5,𝔽₂)	1	4	yes	—
756	#62875	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
757	C₂×C₈₉	—	2	2	no	—
758	C₂×C₈₉	—	4	2	no	—
759	C₂×C₈₉	—	4	2	no	—
760	C₂×C₈₉	—	4	4	no	—
761	C₂×C₈₉	—	4	2	no	—
762	C₂×C₈₉	—	4	4	no	—
763	C₂×C₈₉	—	4	4	no	—
764	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
765	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
766	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
767	#3551	C₂×C₈₉	1	4	yes	complemented
768	#3548	C₂×C₈₉	1	4	yes	complemented
769	#3547	C₂×C₈₉	1	4	yes	complemented
770	#3546	C₂×C₈₉	1	4	yes	complemented
771	#3542	C₂×C₈₉	1	8	yes	complemented
772	#3542	C₂×C₈₉	1	4	yes	complemented
773	#3541	C₂×C₈₉	1	4	yes	complemented
774	#3539	C₂×C₈₉	1	4	yes	complemented
775	#3536	C₂×C₈₉	1	4	yes	complemented
776	#3535	C₂×C₈₉	1	4	yes	complemented
777	#3534	C₂×C₈₉	1	4	yes	complemented
778	#3495	C₂×C₈₉	1	2	yes	complemented
779	#3494	C₂×C₈₉	1	2	yes	complemented
780	#3492	C₂×C₈₉	1	2	yes	complemented
781	#3489	C₂×C₈₉	1	2	yes	complemented
782	#3488	C₂×C₈₉	1	2	yes	complemented
783	#3487	C₂×C₈₉	1	1	yes	characteristic, complemented
784	#3485	C₂×C₈₉	1	1	yes	characteristic, complemented
785	#3449	C₂×C₈₉	1	2	yes	complemented
786	C₂×#537	C₂×C₈₉	1	1	yes	characteristic, complemented
787	C₈₉	#62875	1	1	yes	characteristic, direct product factor, Sylow
788	C₂×2₋¹⁺⁴	C₂²×C₈₉	1	1	yes	characteristic, complemented
789	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	1	yes	characteristic
790	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
791	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
792	C₂²×#41	C₂²×C₈₉	1	2	yes	complemented
793	#563	C₂²×C₈₉	1	8	yes	complemented
794	#562	C₂²×C₈₉	1	8	yes	complemented
795	#562	C₂²×C₈₉	1	8	yes	complemented
796	#562	C₂²×C₈₉	1	8	yes	complemented
797	#562	C₂²×C₈₉	1	8	yes	complemented
798	#560	C₂²×C₈₉	1	8	yes	complemented
799	#560	C₂²×C₈₉	1	8	yes	complemented
800	#560	C₂²×C₈₉	1	8	yes	complemented
801	#556	C₂²×C₈₉	1	4	yes	complemented
802	#555	C₂²×C₈₉	1	4	yes	complemented
803	#555	C₂²×C₈₉	1	8	yes	complemented
804	#554	C₂²×C₈₉	1	4	yes	complemented
805	#554	C₂²×C₈₉	1	4	yes	complemented
806	#554	C₂²×C₈₉	1	4	yes	complemented
807	#554	C₂²×C₈₉	1	8	yes	complemented
808	#553	C₂²×C₈₉	1	4	yes	complemented
809	#553	C₂²×C₈₉	1	4	yes	complemented
810	#553	C₂²×C₈₉	1	4	yes	complemented
811	#553	C₂²×C₈₉	1	4	yes	complemented
812	#553	C₂²×C₈₉	1	8	yes	complemented
813	#553	C₂²×C₈₉	1	8	yes	complemented
814	#552	C₂²×C₈₉	1	4	yes	complemented
815	#552	C₂²×C₈₉	1	4	yes	complemented
816	#552	C₂²×C₈₉	1	8	yes	complemented
817	#552	C₂²×C₈₉	1	4	yes	complemented
818	#552	C₂²×C₈₉	1	4	yes	complemented
819	#551	C₂²×C₈₉	1	8	yes	complemented
820	#551	C₂²×C₈₉	1	8	yes	complemented
821	#551	C₂²×C₈₉	1	8	yes	complemented
822	#550	C₂²×C₈₉	1	4	yes	complemented
823	#550	C₂²×C₈₉	1	4	yes	complemented
824	#550	C₂²×C₈₉	1	4	yes	complemented
825	#550	C₂²×C₈₉	1	8	yes	complemented
826	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
827	#548	C₂²×C₈₉	1	4	yes	complemented
828	#548	C₂²×C₈₉	1	4	yes	complemented
829	#548	C₂²×C₈₉	1	4	yes	complemented
830	#548	C₂²×C₈₉	1	4	yes	complemented
831	#547	C₂²×C₈₉	1	4	yes	complemented
832	#547	C₂²×C₈₉	1	4	yes	complemented
833	#547	C₂²×C₈₉	1	8	yes	complemented
834	#547	C₂²×C₈₉	1	4	yes	complemented
835	#547	C₂²×C₈₉	1	4	yes	complemented
836	#547	C₂²×C₈₉	1	4	yes	complemented
837	#547	C₂²×C₈₉	1	4	yes	complemented
838	#546	C₂²×C₈₉	1	4	yes	complemented
839	#546	C₂²×C₈₉	1	4	yes	complemented
840	#546	C₂²×C₈₉	1	8	yes	complemented
841	#546	C₂²×C₈₉	1	4	yes	complemented
842	#546	C₂²×C₈₉	1	8	yes	complemented
843	#546	C₂²×C₈₉	1	4	yes	complemented
844	#546	C₂²×C₈₉	1	8	yes	complemented
845	#546	C₂²×C₈₉	1	8	yes	complemented
846	#546	C₂²×C₈₉	1	8	yes	complemented
847	D₄²	C₂²×C₈₉	1	8	yes	complemented
848	D₄²	C₂²×C₈₉	1	4	yes	complemented
849	#544	C₂²×C₈₉	1	2	yes	complemented
850	#544	C₂²×C₈₉	1	4	yes	complemented
851	#543	C₂²×C₈₉	1	4	yes	complemented
852	#542	C₂²×C₈₉	1	4	yes	complemented
853	#542	C₂²×C₈₉	1	4	yes	complemented
854	#542	C₂²×C₈₉	1	8	yes	complemented
855	#542	C₂²×C₈₉	1	8	yes	complemented
856	#541	C₂²×C₈₉	1	4	yes	complemented
857	#540	C₂²×C₈₉	1	4	yes	complemented
858	#540	C₂²×C₈₉	1	8	yes	complemented
859	#540	C₂²×C₈₉	1	8	yes	complemented
860	#540	C₂²×C₈₉	1	8	yes	complemented
861	#540	C₂²×C₈₉	1	8	yes	complemented
862	#539	C₂²×C₈₉	1	8	yes	complemented
863	#539	C₂²×C₈₉	1	4	yes	complemented
864	#539	C₂²×C₈₉	1	8	yes	complemented
865	#539	C₂²×C₈₉	1	4	yes	complemented
866	#538	C₂²×C₈₉	1	8	yes	complemented
867	#538	C₂²×C₈₉	1	4	yes	complemented
868	#538	C₂²×C₈₉	1	4	yes	complemented
869	#538	C₂²×C₈₉	1	8	yes	complemented
870	#538	C₂²×C₈₉	1	8	yes	complemented
871	#537	C₂²×C₈₉	1	2	yes	—
872	#537	C₂²×C₈₉	1	4	yes	complemented
873	#537	C₂²×C₈₉	1	4	yes	complemented
874	#537	C₂²×C₈₉	1	4	yes	complemented
875	#537	C₂²×C₈₉	1	4	yes	complemented
876	#537	C₂²×C₈₉	1	2	yes	complemented
877	#537	C₂²×C₈₉	1	2	yes	complemented
878	#537	C₂²×C₈₉	1	2	yes	complemented
879	#537	C₂²×C₈₉	1	2	yes	complemented
880	#537	C₂²×C₈₉	1	4	yes	complemented
881	#537	C₂²×C₈₉	1	4	yes	complemented
882	#537	C₂²×C₈₉	1	4	yes	complemented
883	#537	C₂²×C₈₉	1	8	yes	complemented
884	#536	C₂²×C₈₉	1	4	yes	complemented
885	#536	C₂²×C₈₉	1	2	yes	complemented
886	#536	C₂²×C₈₉	1	2	yes	complemented
887	#536	C₂²×C₈₉	1	2	yes	complemented
888	#536	C₂²×C₈₉	1	4	yes	complemented
889	#535	C₂²×C₈₉	1	4	yes	complemented
890	#535	C₂²×C₈₉	1	2	yes	complemented
891	#535	C₂²×C₈₉	1	2	yes	complemented
892	#535	C₂²×C₈₉	1	2	yes	complemented
893	#535	C₂²×C₈₉	1	4	yes	complemented
894	#535	C₂²×C₈₉	1	4	yes	complemented
895	#535	C₂²×C₈₉	1	8	yes	complemented
896	#534	C₂²×C₈₉	1	4	yes	complemented
897	#534	C₂²×C₈₉	1	4	yes	complemented
898	#534	C₂²×C₈₉	1	4	yes	complemented
899	#534	C₂²×C₈₉	1	4	yes	complemented
900	#533	C₂²×C₈₉	1	4	yes	complemented
901	#532	C₂²×C₈₉	1	4	yes	complemented
902	#532	C₂²×C₈₉	1	4	yes	complemented
903	#532	C₂²×C₈₉	1	4	yes	complemented
904	#529	C₂²×C₈₉	1	4	yes	complemented
905	#529	C₂²×C₈₉	1	4	yes	complemented
906	#525	C₂²×C₈₉	1	2	yes	—
907	#525	C₂²×C₈₉	1	2	yes	complemented
908	#525	C₂²×C₈₉	1	2	yes	complemented
909	#525	C₂²×C₈₉	1	2	yes	complemented
910	#525	C₂²×C₈₉	1	4	yes	complemented
911	#525	C₂²×C₈₉	1	4	yes	complemented
912	#525	C₂²×C₈₉	1	4	yes	complemented
913	#525	C₂²×C₈₉	1	4	yes	complemented
914	#525	C₂²×C₈₉	1	4	yes	complemented
915	#525	C₂²×C₈₉	1	8	yes	complemented
916	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
917	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
918	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
919	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
920	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
921	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
922	C₂×#121	C₂²×C₈₉	1	4	yes	complemented
923	C₂×#121	C₂²×C₈₉	1	4	yes	complemented
924	#520	C₂²×C₈₉	1	2	yes	complemented
925	#520	C₂²×C₈₉	1	2	yes	complemented
926	#519	C₂²×C₈₉	1	1	yes	characteristic, complemented
927	#518	C₂²×C₈₉	1	1	yes	characteristic, complemented
928	C₂×#117	C₂²×C₈₉	1	2	yes	complemented
929	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
930	2₋¹⁺⁴	—	4	4	no	—
931	H(5,𝔽₂)	—	4	4	no	—
932	C₂×#41	—	4	4	no	—
933	C₂×#41	—	4	4	no	—
934	C₂×#41	—	4	8	no	—
935	C₂×#41	C₂³×C₈₉	1	2	yes	—
936	C₂×#41	C₂³×C₈₉	1	2	yes	—
937	C₂×#41	C₂³×C₈₉	1	2	yes	—
938	C₂×#41	C₂³×C₈₉	1	2	yes	—
939	C₂×#41	C₂³×C₈₉	1	4	yes	—
940	C₂×#41	C₂³×C₈₉	1	4	yes	—
941	C₂×#41	C₂³×C₈₉	1	4	yes	—
942	C₂×#41	C₂³×C₈₉	1	2	yes	—
943	C₂×#41	C₂³×C₈₉	1	4	yes	—
944	C₂×#41	C₂³×C₈₉	1	2	yes	—
945	C₂×#41	C₂³×C₈₉	1	4	yes	—
946	C₂×#41	C₂³×C₈₉	1	2	yes	—
947	C₂×#41	C₂³×C₈₉	1	4	yes	—
948	C₂×#41	C₂³×C₈₉	1	4	yes	—
949	C₂×#41	C₂³×C₈₉	1	2	yes	—
950	C₂×#41	C₂³×C₈₉	1	8	yes	—
951	C₂×#41	C₂³×C₈₉	1	8	yes	—
952	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
953	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
954	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
955	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
956	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
957	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
958	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
959	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
960	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
961	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
962	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
963	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
964	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
965	C₂²×D₄	C₂³×C₈₉	1	8	yes	—
966	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
967	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
968	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
969	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
970	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
971	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
972	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
973	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
974	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
975	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
976	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
977	#127	C₂³×C₈₉	1	4	yes	—
978	#127	C₂³×C₈₉	1	4	yes	—
979	#127	C₂³×C₈₉	1	4	yes	—
980	#127	C₂³×C₈₉	1	8	yes	—
981	#127	C₂³×C₈₉	1	8	yes	—
982	#126	C₂³×C₈₉	1	8	yes	—
983	#126	C₂³×C₈₉	1	8	yes	—
984	#126	C₂³×C₈₉	1	8	yes	—
985	#126	C₂³×C₈₉	1	8	yes	—
986	#126	C₂³×C₈₉	1	8	yes	—
987	#126	C₂³×C₈₉	1	8	yes	—
988	#126	C₂³×C₈₉	1	8	yes	—
989	#126	C₂³×C₈₉	1	8	yes	—
990	#125	C₂³×C₈₉	1	4	yes	—
991	#125	C₂³×C₈₉	1	4	yes	—
992	#125	C₂³×C₈₉	1	8	yes	—
993	#125	C₂³×C₈₉	1	8	yes	—
994	#125	C₂³×C₈₉	1	8	yes	—
995	#125	C₂³×C₈₉	1	8	yes	—
996	#125	C₂³×C₈₉	1	8	yes	—
997	#124	C₂³×C₈₉	1	4	yes	—
998	#124	C₂³×C₈₉	1	4	yes	—
999	#124	C₂³×C₈₉	1	4	yes	—
1000	#124	C₂³×C₈₉	1	4	yes	—
1001	#124	C₂³×C₈₉	1	4	yes	—
1002	#124	C₂³×C₈₉	1	4	yes	—
1003	#124	C₂³×C₈₉	1	8	yes	—
1004	#124	C₂³×C₈₉	1	8	yes	—
1005	#124	C₂³×C₈₉	1	8	yes	—
1006	#124	C₂³×C₈₉	1	8	yes	—
1007	#124	C₂³×C₈₉	1	8	yes	—
1008	#124	C₂³×C₈₉	1	8	yes	—
1009	#123	C₂³×C₈₉	1	4	yes	—
1010	#123	C₂³×C₈₉	1	8	yes	—
1011	#123	C₂³×C₈₉	1	8	yes	—
1012	#123	C₂³×C₈₉	1	8	yes	—
1013	#123	C₂³×C₈₉	1	4	yes	—
1014	#123	C₂³×C₈₉	1	4	yes	—
1015	#123	C₂³×C₈₉	1	4	yes	—
1016	#123	C₂³×C₈₉	1	4	yes	—
1017	#123	C₂³×C₈₉	1	4	yes	—
1018	#123	C₂³×C₈₉	1	4	yes	—
1019	#123	C₂³×C₈₉	1	4	yes	—
1020	#123	C₂³×C₈₉	1	8	yes	—
1021	#123	C₂³×C₈₉	1	8	yes	—
1022	#123	C₂³×C₈₉	1	8	yes	—
1023	#123	C₂³×C₈₉	1	8	yes	—
1024	#123	C₂³×C₈₉	1	8	yes	—
1025	#123	C₂³×C₈₉	1	8	yes	—
1026	#123	C₂³×C₈₉	1	8	yes	—
1027	#123	C₂³×C₈₉	1	8	yes	—
1028	#123	C₂³×C₈₉	1	8	yes	—
1029	#123	C₂³×C₈₉	1	8	yes	—
1030	#123	C₂³×C₈₉	1	8	yes	—
1031	#123	C₂³×C₈₉	1	8	yes	—
1032	#123	C₂³×C₈₉	1	8	yes	—
1033	#123	C₂³×C₈₉	1	8	yes	—
1034	#123	C₂³×C₈₉	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1036	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1037	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1038	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1039	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1040	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1042	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1043	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1044	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1045	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1046	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1047	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1048	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1049	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1050	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1051	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1052	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1053	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1054	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1055	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1056	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1057	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1058	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1059	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1060	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1062	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1063	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1064	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1065	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1066	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1067	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1068	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1069	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1070	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1071	#121	C₂³×C₈₉	1	2	yes	—
1072	#121	C₂³×C₈₉	1	4	yes	—
1073	#121	C₂³×C₈₉	1	4	yes	—
1074	#121	C₂³×C₈₉	1	4	yes	—
1075	#121	C₂³×C₈₉	1	4	yes	—
1076	#121	C₂³×C₈₉	1	8	yes	—
1077	#121	C₂³×C₈₉	1	4	yes	—
1078	#121	C₂³×C₈₉	1	8	yes	—
1079	#121	C₂³×C₈₉	1	4	yes	—
1080	#121	C₂³×C₈₉	1	4	yes	—
1081	#121	C₂³×C₈₉	1	4	yes	—
1082	#121	C₂³×C₈₉	1	8	yes	—
1083	#121	C₂³×C₈₉	1	8	yes	—
1084	#121	C₂³×C₈₉	1	8	yes	—
1085	#121	C₂³×C₈₉	1	8	yes	—
1086	#121	C₂³×C₈₉	1	8	yes	—
1087	#121	C₂³×C₈₉	1	2	yes	—
1088	#121	C₂³×C₈₉	1	2	yes	—
1089	#121	C₂³×C₈₉	1	2	yes	—
1090	#121	C₂³×C₈₉	1	4	yes	—
1091	#121	C₂³×C₈₉	1	4	yes	—
1092	#121	C₂³×C₈₉	1	4	yes	—
1093	#121	C₂³×C₈₉	1	4	yes	—
1094	#121	C₂³×C₈₉	1	2	yes	—
1095	#121	C₂³×C₈₉	1	2	yes	—
1096	#121	C₂³×C₈₉	1	4	yes	—
1097	#121	C₂³×C₈₉	1	2	yes	—
1098	#121	C₂³×C₈₉	1	2	yes	—
1099	#121	C₂³×C₈₉	1	4	yes	—
1100	#121	C₂³×C₈₉	1	8	yes	—
1101	#121	C₂³×C₈₉	1	4	yes	—
1102	#121	C₂³×C₈₉	1	8	yes	—
1103	#121	C₂³×C₈₉	1	4	yes	—
1104	#121	C₂³×C₈₉	1	4	yes	—
1105	#121	C₂³×C₈₉	1	4	yes	—
1106	#121	C₂³×C₈₉	1	4	yes	—
1107	#121	C₂³×C₈₉	1	4	yes	—
1108	#121	C₂³×C₈₉	1	4	yes	—
1109	#121	C₂³×C₈₉	1	4	yes	—
1110	#121	C₂³×C₈₉	1	4	yes	—
1111	#121	C₂³×C₈₉	1	4	yes	—
1112	#121	C₂³×C₈₉	1	8	yes	—
1113	#121	C₂³×C₈₉	1	8	yes	—
1114	#121	C₂³×C₈₉	1	8	yes	—
1115	#121	C₂³×C₈₉	1	8	yes	—
1116	#121	C₂³×C₈₉	1	8	yes	—
1117	#121	C₂³×C₈₉	1	8	yes	—
1118	#121	C₂³×C₈₉	1	8	yes	—
1119	#121	C₂³×C₈₉	1	8	yes	—
1120	#121	C₂³×C₈₉	1	8	yes	—
1121	#121	C₂³×C₈₉	1	8	yes	—
1122	#121	C₂³×C₈₉	1	8	yes	—
1123	#121	C₂³×C₈₉	1	8	yes	—
1124	#121	C₂³×C₈₉	1	8	yes	—
1125	#120	C₂³×C₈₉	1	4	yes	—
1126	#120	C₂³×C₈₉	1	4	yes	—
1127	#120	C₂³×C₈₉	1	4	yes	—
1128	#120	C₂³×C₈₉	1	4	yes	—
1129	#120	C₂³×C₈₉	1	4	yes	—
1130	#120	C₂³×C₈₉	1	4	yes	—
1131	#120	C₂³×C₈₉	1	4	yes	—
1132	#120	C₂³×C₈₉	1	8	yes	—
1133	#120	C₂³×C₈₉	1	4	yes	—
1134	#120	C₂³×C₈₉	1	8	yes	—
1135	#120	C₂³×C₈₉	1	8	yes	—
1136	#120	C₂³×C₈₉	1	8	yes	—
1137	#120	C₂³×C₈₉	1	8	yes	—
1138	#120	C₂³×C₈₉	1	8	yes	—
1139	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1140	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1141	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1142	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1143	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1144	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1145	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1146	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1147	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1148	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1149	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1150	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1151	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1152	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1153	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1154	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1155	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1156	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1157	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1158	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1159	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1160	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1161	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1162	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1163	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1164	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1165	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1166	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1167	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1168	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1169	#117	C₂³×C₈₉	1	2	yes	—
1170	#117	C₂³×C₈₉	1	2	yes	—
1171	#117	C₂³×C₈₉	1	4	yes	—
1172	#117	C₂³×C₈₉	1	4	yes	—
1173	#117	C₂³×C₈₉	1	2	yes	—
1174	#117	C₂³×C₈₉	1	2	yes	—
1175	#117	C₂³×C₈₉	1	4	yes	—
1176	#117	C₂³×C₈₉	1	4	yes	—
1177	#117	C₂³×C₈₉	1	4	yes	—
1178	#117	C₂³×C₈₉	1	8	yes	—
1179	#117	C₂³×C₈₉	1	8	yes	—
1180	#117	C₂³×C₈₉	1	8	yes	—
1181	#117	C₂³×C₈₉	1	8	yes	—
1182	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1183	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1184	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1185	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1186	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1187	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1188	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1189	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1190	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1191	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1192	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1193	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1194	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1195	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1196	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1197	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1198	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1199	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1200	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1201	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1202	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1203	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1204	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1205	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1206	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1207	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1208	#41	—	2	8	no	—
1209	#41	—	2	8	no	—
1210	#41	—	4	4	no	—
1211	#41	—	4	4	no	—
1212	#41	—	4	4	no	—
1213	#41	—	4	4	no	—
1214	#41	—	4	8	no	—
1215	#41	—	4	8	no	—
1216	#41	—	4	8	no	—
1217	#41	—	4	8	no	—
1218	#41	—	4	8	no	—
1219	#41	—	4	4	no	—
1220	#41	—	4	4	no	—
1221	#41	—	4	8	no	—
1222	#41	—	4	8	no	—
1223	#41	—	8	8	no	—
1224	#41	—	8	8	no	—
1225	C₂×Q₈	—	2	4	no	—
1226	C₂×Q₈	—	4	2	no	—
1227	C₂×Q₈	—	4	4	no	—
1228	C₂×Q₈	—	4	8	no	—
1229	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1230	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1231	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1232	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1233	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1234	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1235	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1236	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1237	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1238	C₂×D₄	—	2	4	no	—
1239	C₂×D₄	—	4	4	no	—
1240	C₂×D₄	—	4	8	no	—
1241	C₂×D₄	—	4	2	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	8	no	—
1245	C₂×D₄	—	4	8	no	—
1246	C₂×D₄	—	8	4	no	—
1247	C₂×D₄	—	8	8	no	—
1248	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1250	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1251	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1252	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1253	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1254	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1255	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1256	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1257	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1258	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1259	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1260	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1261	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1262	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1263	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1264	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1265	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1266	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1267	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1268	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1269	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1270	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1271	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1272	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1273	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1274	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1275	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1276	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1277	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1278	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1279	C₂²×C₄	—	2	4	no	—
1280	C₂²×C₄	—	2	8	no	—
1281	C₂²×C₄	—	4	8	no	—
1282	C₂²×C₄	—	4	4	no	—
1283	C₂²×C₄	—	8	2	no	—
1284	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1285	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1286	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1287	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1288	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1289	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1290	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1292	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1293	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1294	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1295	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1296	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1297	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1298	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1299	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1300	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1301	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1302	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1303	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1304	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1305	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1306	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1307	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1308	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1309	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1310	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1311	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1313	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1314	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1315	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1318	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1320	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1321	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1322	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1323	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1324	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1325	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1326	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1327	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1328	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1329	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1330	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1331	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1332	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1333	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1334	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1335	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1336	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1337	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1338	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1339	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1340	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1341	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1343	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1344	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1345	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1346	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1347	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1348	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1349	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1351	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1352	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1354	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1357	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1358	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1362	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1363	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1364	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1365	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1366	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1367	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1368	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1369	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1370	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1371	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1372	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1373	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1374	C₄²	C₂⁴×C₈₉	1	4	yes	—
1375	C₄²	C₂⁴×C₈₉	1	4	yes	—
1376	C₄²	C₂⁴×C₈₉	1	4	yes	—
1377	C₄²	C₂⁴×C₈₉	1	4	yes	—
1378	C₄²	C₂⁴×C₈₉	1	8	yes	—
1379	C₄²	C₂⁴×C₈₉	1	8	yes	—
1380	C₄²	C₂⁴×C₈₉	1	8	yes	—
1381	C₂³	—	2	2	no	—
1382	C₂³	—	2	4	no	—
1383	C₂³	—	2	4	no	—
1384	C₂³	—	4	1	no	—
1385	C₂³	—	4	1	no	—
1386	C₂³	—	4	4	no	—
1387	C₂³	—	4	2	no	—
1388	C₂³	—	4	2	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	2	no	—
1391	C₂³	—	4	2	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	—	4	4	no	—
1396	C₂³	C₂⁵×C₈₉	1	2	yes	—
1397	C₂³	C₂⁵×C₈₉	1	4	yes	—
1398	C₂³	C₂⁵×C₈₉	1	4	yes	—
1399	C₂³	C₂⁵×C₈₉	1	2	yes	—
1400	C₂³	C₂⁵×C₈₉	1	2	yes	—
1401	C₂³	C₂⁵×C₈₉	1	4	yes	—
1402	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1403	Q₈	—	2	8	no	—
1404	Q₈	—	2	4	no	—
1405	Q₈	—	2	4	no	—
1406	Q₈	—	4	4	no	—
1407	Q₈	—	4	1	no	—
1408	Q₈	—	4	2	no	—
1409	Q₈	—	4	1	no	—
1410	Q₈	—	4	4	no	—
1411	Q₈	—	4	8	no	—
1412	D₄	—	2	8	no	—
1413	D₄	—	2	8	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	4	8	no	—
1418	D₄	—	4	1	no	—
1419	D₄	—	4	2	no	—
1420	D₄	—	4	2	no	—
1421	D₄	—	4	1	no	—
1422	D₄	—	4	2	no	—
1423	D₄	—	4	2	no	—
1424	D₄	—	4	2	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	4	no	—
1428	D₄	—	4	8	no	—
1429	D₄	—	4	8	no	—
1430	D₄	—	4	4	no	—
1431	D₄	—	4	8	no	—
1432	D₄	—	4	8	no	—
1433	D₄	—	4	8	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	4	no	—
1437	D₄	—	4	8	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	4	4	no	—
1440	D₄	—	4	4	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	C₂×C₄	—	2	2	no	—
1444	C₂×C₄	—	2	4	no	—
1445	C₂×C₄	—	2	4	no	—
1446	C₂×C₄	—	2	4	no	—
1447	C₂×C₄	—	2	4	no	—
1448	C₂×C₄	—	2	4	no	—
1449	C₂×C₄	—	2	4	no	—
1450	C₂×C₄	—	2	4	no	—
1451	C₂×C₄	—	2	4	no	—
1452	C₂×C₄	—	2	8	no	—
1453	C₂×C₄	—	2	8	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	8	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	8	no	—
1465	C₂×C₄	—	4	8	no	—
1466	C₂×C₄	—	4	8	no	—
1467	C₂×C₄	—	4	4	no	—
1468	C₂×C₄	—	4	4	no	—
1469	C₂×C₄	H(5,𝔽₂)×C₈₉	1	4	yes	—
1470	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1471	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1472	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1473	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1474	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1475	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1476	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1477	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1478	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1479	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1480	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1481	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1482	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1483	C₂²	—	2	1	no	—
1484	C₂²	—	2	1	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	4	no	—
1489	C₂²	—	2	4	no	—
1490	C₂²	—	2	4	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	4	no	—
1494	C₂²	—	2	4	no	—
1495	C₂²	—	2	4	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	4	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	4	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	4	no	—
1503	C₂²	—	4	4	no	—
1504	C₂²	—	8	4	no	—
1505	C₂²	—	8	4	no	—
1506	C₂²	—	8	8	no	—
1507	C₂²	—	16	4	no	—
1508	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1509	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1510	C₄	—	2	1	no	—
1511	C₄	—	2	1	no	—
1512	C₄	—	2	2	no	—
1513	C₄	—	2	2	no	—
1514	C₄	—	2	4	no	—
1515	C₄	—	2	4	no	—
1516	C₄	—	2	4	no	—
1517	C₄	—	2	8	no	—
1518	C₄	—	2	4	no	—
1519	C₄	—	2	4	no	—
1520	C₄	—	2	4	no	—
1521	C₄	—	2	4	no	—
1522	C₄	C₂×H(5,𝔽₂)×C₈₉	1	4	yes	—
1523	C₂	—	2	2	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	4	no	—
1527	C₂	—	4	2	no	—
1528	C₂	—	4	4	no	—
1529	C₂	—	4	4	no	—
1530	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1531	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
1532	C₂	C₈₉×2₋¹⁺⁶	1	1	yes	characteristic

	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×#3551	C₂	semidirect
2. C₈₉×#3548	C₂	semidirect
3. C₈₉×#3547	C₂	semidirect
4. C₈₉×#3546	C₂	semidirect
5. C₈₉×#3542	C₂	semidirect
6. C₈₉×#3542	C₂	semidirect
7. C₈₉×#3541	C₂	semidirect
8. C₈₉×#3539	C₂	semidirect
9. C₈₉×#3536	C₂	semidirect
10. C₈₉×#3535	C₂	semidirect
11. C₈₉×#3534	C₂	semidirect
12. C₈₉×#3495	C₂	semidirect
13. C₈₉×#3494	C₂	semidirect
14. C₈₉×#3492	C₂	semidirect
15. C₈₉×#3489	C₂	semidirect
16. C₈₉×#3488	C₂	semidirect
17. C₈₉×#3487	C₂	semidirect
18. C₈₉×#3485	C₂	semidirect
19. C₈₉×#3449	C₂	semidirect
20. C₂×#537×C₈₉	C₂	semidirect
21. C₂×2₋¹⁺⁴×C₈₉	C₂²	semidirect
23. C₂²×#41×C₈₉	C₂²	semidirect
24. C₂²×#41×C₈₉	C₂²	semidirect
25. C₂²×#41×C₈₉	C₂²	semidirect
26. #563×C₈₉	C₂²	semidirect
27. #562×C₈₉	C₂²	semidirect
28. #562×C₈₉	C₂²	semidirect
29. #562×C₈₉	C₂²	semidirect
30. #562×C₈₉	C₂²	semidirect
31. #560×C₈₉	C₂²	semidirect
32. #560×C₈₉	C₂²	semidirect
33. #560×C₈₉	C₂²	semidirect
34. #556×C₈₉	C₂²	semidirect
35. #555×C₈₉	C₂²	semidirect
36. #555×C₈₉	C₂²	semidirect
37. #554×C₈₉	C₂²	semidirect
38. #554×C₈₉	C₂²	semidirect
39. #554×C₈₉	C₂²	semidirect
40. #554×C₈₉	C₂²	semidirect
41. #553×C₈₉	C₂²	semidirect
42. #553×C₈₉	C₂²	semidirect
43. #553×C₈₉	C₂²	semidirect
44. #553×C₈₉	C₂²	semidirect
45. #553×C₈₉	C₂²	semidirect
46. #553×C₈₉	C₂²	semidirect
47. #552×C₈₉	C₂²	semidirect
48. #552×C₈₉	C₂²	semidirect
49. #552×C₈₉	C₂²	semidirect
50. #552×C₈₉	C₂²	semidirect
51. #552×C₈₉	C₂²	semidirect
52. #551×C₈₉	C₂²	semidirect
53. #551×C₈₉	C₂²	semidirect
54. #551×C₈₉	C₂²	semidirect
55. #550×C₈₉	C₂²	semidirect
56. #550×C₈₉	C₂²	semidirect
57. #550×C₈₉	C₂²	semidirect
58. #550×C₈₉	C₂²	semidirect
59. D₄×Q₈×C₈₉	C₂²	semidirect
60. #548×C₈₉	C₂²	semidirect
61. #548×C₈₉	C₂²	semidirect
62. #548×C₈₉	C₂²	semidirect
63. #548×C₈₉	C₂²	semidirect
64. #547×C₈₉	C₂²	semidirect
65. #547×C₈₉	C₂²	semidirect
66. #547×C₈₉	C₂²	semidirect
67. #547×C₈₉	C₂²	semidirect
68. #547×C₈₉	C₂²	semidirect
69. #547×C₈₉	C₂²	semidirect
70. #547×C₈₉	C₂²	semidirect
71. #546×C₈₉	C₂²	semidirect
72. #546×C₈₉	C₂²	semidirect
73. #546×C₈₉	C₂²	semidirect
74. #546×C₈₉	C₂²	semidirect
75. #546×C₈₉	C₂²	semidirect
76. #546×C₈₉	C₂²	semidirect
77. #546×C₈₉	C₂²	semidirect
78. #546×C₈₉	C₂²	semidirect
79. #546×C₈₉	C₂²	semidirect
80. D₄²×C₈₉	C₂²	semidirect
81. D₄²×C₈₉	C₂²	semidirect
82. #544×C₈₉	C₂²	semidirect
83. #544×C₈₉	C₂²	semidirect
84. #543×C₈₉	C₂²	semidirect
85. #542×C₈₉	C₂²	semidirect
86. #542×C₈₉	C₂²	semidirect
87. #542×C₈₉	C₂²	semidirect
88. #542×C₈₉	C₂²	semidirect
89. #541×C₈₉	C₂²	semidirect
90. #540×C₈₉	C₂²	semidirect
91. #540×C₈₉	C₂²	semidirect
92. #540×C₈₉	C₂²	semidirect
93. #540×C₈₉	C₂²	semidirect
94. #540×C₈₉	C₂²	semidirect
95. #539×C₈₉	C₂²	semidirect
96. #539×C₈₉	C₂²	semidirect
97. #539×C₈₉	C₂²	semidirect
98. #539×C₈₉	C₂²	semidirect
99. #538×C₈₉	C₂²	semidirect
100. #538×C₈₉	C₂²	semidirect
101. #538×C₈₉	C₂²	semidirect
102. #538×C₈₉	C₂²	semidirect
103. #538×C₈₉	C₂²	semidirect
105. #537×C₈₉	C₂²	semidirect
106. #537×C₈₉	C₂²	semidirect
107. #537×C₈₉	C₂²	semidirect
108. #537×C₈₉	C₂²	semidirect
109. #537×C₈₉	C₂²	semidirect
110. #537×C₈₉	C₂²	semidirect
111. #537×C₈₉	C₂²	semidirect
112. #537×C₈₉	C₂²	semidirect
113. #537×C₈₉	C₂²	semidirect
114. #537×C₈₉	C₂²	semidirect
115. #537×C₈₉	C₂²	semidirect
116. #537×C₈₉	C₂²	semidirect
117. #536×C₈₉	C₂²	semidirect
118. #536×C₈₉	C₂²	semidirect
119. #536×C₈₉	C₂²	semidirect
120. #536×C₈₉	C₂²	semidirect
121. #536×C₈₉	C₂²	semidirect
122. #535×C₈₉	C₂²	semidirect
123. #535×C₈₉	C₂²	semidirect
124. #535×C₈₉	C₂²	semidirect
125. #535×C₈₉	C₂²	semidirect
126. #535×C₈₉	C₂²	semidirect
127. #535×C₈₉	C₂²	semidirect
128. #535×C₈₉	C₂²	semidirect
129. #534×C₈₉	C₂²	semidirect
130. #534×C₈₉	C₂²	semidirect
131. #534×C₈₉	C₂²	semidirect
132. #534×C₈₉	C₂²	semidirect
133. #533×C₈₉	C₂²	semidirect
134. #532×C₈₉	C₂²	semidirect
135. #532×C₈₉	C₂²	semidirect
136. #532×C₈₉	C₂²	semidirect
137. #529×C₈₉	C₂²	semidirect
138. #529×C₈₉	C₂²	semidirect
140. #525×C₈₉	C₂²	semidirect
141. #525×C₈₉	C₂²	semidirect
142. #525×C₈₉	C₂²	semidirect
143. #525×C₈₉	C₂²	semidirect
144. #525×C₈₉	C₂²	semidirect
145. #525×C₈₉	C₂²	semidirect
146. #525×C₈₉	C₂²	semidirect
147. #525×C₈₉	C₂²	semidirect
148. #525×C₈₉	C₂²	semidirect
149. C₂×#123×C₈₉	C₂²	semidirect
150. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
151. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
152. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
153. C₂×#121×C₈₉	C₂²	semidirect
154. C₂×#121×C₈₉	C₂²	semidirect
155. C₂×#121×C₈₉	C₂²	semidirect
156. C₂×#121×C₈₉	C₂²	semidirect
157. #520×C₈₉	C₂²	semidirect
158. #520×C₈₉	C₂²	semidirect
159. #519×C₈₉	C₂²	semidirect
160. #518×C₈₉	C₂²	semidirect
161. C₂×#117×C₈₉	C₂²	semidirect
162. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
756. #62875	C₈₉	direct (N × H)
767. #3551	C₂×C₈₉	semidirect
768. #3548	C₂×C₈₉	semidirect
769. #3547	C₂×C₈₉	semidirect
770. #3546	C₂×C₈₉	semidirect
771. #3542	C₂×C₈₉	semidirect
772. #3542	C₂×C₈₉	semidirect
773. #3541	C₂×C₈₉	semidirect
774. #3539	C₂×C₈₉	semidirect
775. #3536	C₂×C₈₉	semidirect
776. #3535	C₂×C₈₉	semidirect
777. #3534	C₂×C₈₉	semidirect
778. #3495	C₂×C₈₉	semidirect
779. #3494	C₂×C₈₉	semidirect
780. #3492	C₂×C₈₉	semidirect
781. #3489	C₂×C₈₉	semidirect
782. #3488	C₂×C₈₉	semidirect
783. #3487	C₂×C₈₉	semidirect
784. #3485	C₂×C₈₉	semidirect
785. #3449	C₂×C₈₉	semidirect
786. C₂×#537	C₂×C₈₉	semidirect
787. C₈₉	#62875	direct (N × H)
788. C₂×2₋¹⁺⁴	C₂²×C₈₉	semidirect
790. C₂²×#41	C₂²×C₈₉	semidirect
791. C₂²×#41	C₂²×C₈₉	semidirect
792. C₂²×#41	C₂²×C₈₉	semidirect
793. #563	C₂²×C₈₉	semidirect
794. #562	C₂²×C₈₉	semidirect
795. #562	C₂²×C₈₉	semidirect
796. #562	C₂²×C₈₉	semidirect
797. #562	C₂²×C₈₉	semidirect
798. #560	C₂²×C₈₉	semidirect
799. #560	C₂²×C₈₉	semidirect
800. #560	C₂²×C₈₉	semidirect
801. #556	C₂²×C₈₉	semidirect
802. #555	C₂²×C₈₉	semidirect
803. #555	C₂²×C₈₉	semidirect
804. #554	C₂²×C₈₉	semidirect
805. #554	C₂²×C₈₉	semidirect
806. #554	C₂²×C₈₉	semidirect
807. #554	C₂²×C₈₉	semidirect
808. #553	C₂²×C₈₉	semidirect
809. #553	C₂²×C₈₉	semidirect
810. #553	C₂²×C₈₉	semidirect
811. #553	C₂²×C₈₉	semidirect
812. #553	C₂²×C₈₉	semidirect
813. #553	C₂²×C₈₉	semidirect
814. #552	C₂²×C₈₉	semidirect
815. #552	C₂²×C₈₉	semidirect
816. #552	C₂²×C₈₉	semidirect
817. #552	C₂²×C₈₉	semidirect
818. #552	C₂²×C₈₉	semidirect
819. #551	C₂²×C₈₉	semidirect
820. #551	C₂²×C₈₉	semidirect
821. #551	C₂²×C₈₉	semidirect
822. #550	C₂²×C₈₉	semidirect
823. #550	C₂²×C₈₉	semidirect
824. #550	C₂²×C₈₉	semidirect
825. #550	C₂²×C₈₉	semidirect
826. D₄×Q₈	C₂²×C₈₉	semidirect
827. #548	C₂²×C₈₉	semidirect
828. #548	C₂²×C₈₉	semidirect
829. #548	C₂²×C₈₉	semidirect
830. #548	C₂²×C₈₉	semidirect
831. #547	C₂²×C₈₉	semidirect
832. #547	C₂²×C₈₉	semidirect
833. #547	C₂²×C₈₉	semidirect
834. #547	C₂²×C₈₉	semidirect
835. #547	C₂²×C₈₉	semidirect
836. #547	C₂²×C₈₉	semidirect
837. #547	C₂²×C₈₉	semidirect
838. #546	C₂²×C₈₉	semidirect
839. #546	C₂²×C₈₉	semidirect
840. #546	C₂²×C₈₉	semidirect
841. #546	C₂²×C₈₉	semidirect
842. #546	C₂²×C₈₉	semidirect
843. #546	C₂²×C₈₉	semidirect
844. #546	C₂²×C₈₉	semidirect
845. #546	C₂²×C₈₉	semidirect
846. #546	C₂²×C₈₉	semidirect
847. D₄²	C₂²×C₈₉	semidirect
848. D₄²	C₂²×C₈₉	semidirect
849. #544	C₂²×C₈₉	semidirect
850. #544	C₂²×C₈₉	semidirect
851. #543	C₂²×C₈₉	semidirect
852. #542	C₂²×C₈₉	semidirect
853. #542	C₂²×C₈₉	semidirect
854. #542	C₂²×C₈₉	semidirect
855. #542	C₂²×C₈₉	semidirect
856. #541	C₂²×C₈₉	semidirect
857. #540	C₂²×C₈₉	semidirect
858. #540	C₂²×C₈₉	semidirect
859. #540	C₂²×C₈₉	semidirect
860. #540	C₂²×C₈₉	semidirect
861. #540	C₂²×C₈₉	semidirect
862. #539	C₂²×C₈₉	semidirect
863. #539	C₂²×C₈₉	semidirect
864. #539	C₂²×C₈₉	semidirect
865. #539	C₂²×C₈₉	semidirect
866. #538	C₂²×C₈₉	semidirect
867. #538	C₂²×C₈₉	semidirect
868. #538	C₂²×C₈₉	semidirect
869. #538	C₂²×C₈₉	semidirect
870. #538	C₂²×C₈₉	semidirect
872. #537	C₂²×C₈₉	semidirect
873. #537	C₂²×C₈₉	semidirect
874. #537	C₂²×C₈₉	semidirect
875. #537	C₂²×C₈₉	semidirect
876. #537	C₂²×C₈₉	semidirect
877. #537	C₂²×C₈₉	semidirect
878. #537	C₂²×C₈₉	semidirect
879. #537	C₂²×C₈₉	semidirect
880. #537	C₂²×C₈₉	semidirect
881. #537	C₂²×C₈₉	semidirect
882. #537	C₂²×C₈₉	semidirect
883. #537	C₂²×C₈₉	semidirect
884. #536	C₂²×C₈₉	semidirect
885. #536	C₂²×C₈₉	semidirect
886. #536	C₂²×C₈₉	semidirect
887. #536	C₂²×C₈₉	semidirect
888. #536	C₂²×C₈₉	semidirect
889. #535	C₂²×C₈₉	semidirect
890. #535	C₂²×C₈₉	semidirect
891. #535	C₂²×C₈₉	semidirect
892. #535	C₂²×C₈₉	semidirect
893. #535	C₂²×C₈₉	semidirect
894. #535	C₂²×C₈₉	semidirect
895. #535	C₂²×C₈₉	semidirect
896. #534	C₂²×C₈₉	semidirect
897. #534	C₂²×C₈₉	semidirect
898. #534	C₂²×C₈₉	semidirect
899. #534	C₂²×C₈₉	semidirect
900. #533	C₂²×C₈₉	semidirect
901. #532	C₂²×C₈₉	semidirect
902. #532	C₂²×C₈₉	semidirect
903. #532	C₂²×C₈₉	semidirect
904. #529	C₂²×C₈₉	semidirect
905. #529	C₂²×C₈₉	semidirect
907. #525	C₂²×C₈₉	semidirect
908. #525	C₂²×C₈₉	semidirect
909. #525	C₂²×C₈₉	semidirect
910. #525	C₂²×C₈₉	semidirect
911. #525	C₂²×C₈₉	semidirect
912. #525	C₂²×C₈₉	semidirect
913. #525	C₂²×C₈₉	semidirect
914. #525	C₂²×C₈₉	semidirect
915. #525	C₂²×C₈₉	semidirect
916. C₂×#123	C₂²×C₈₉	semidirect
917. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
918. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
919. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
920. C₂×#121	C₂²×C₈₉	semidirect
921. C₂×#121	C₂²×C₈₉	semidirect
922. C₂×#121	C₂²×C₈₉	semidirect
923. C₂×#121	C₂²×C₈₉	semidirect
924. #520	C₂²×C₈₉	semidirect
925. #520	C₂²×C₈₉	semidirect
926. #519	C₂²×C₈₉	semidirect
927. #518	C₂²×C₈₉	semidirect
928. C₂×#117	C₂²×C₈₉	semidirect
929. C₂²×C₄⋊C₄	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×#3551	2
C₈₉×#3548	2
C₈₉×#3547	2
C₈₉×#3546	2
C₈₉×#3542	2
C₈₉×#3541	2
C₈₉×#3539	2
C₈₉×#3536	2
C₈₉×#3535	2
C₈₉×#3534	2
C₈₉×#3495	2
C₈₉×#3494	2
C₈₉×#3492	2
C₈₉×#3489	2
C₈₉×#3488	2
C₈₉×#3487	2
C₈₉×#3485	2
C₈₉×#3449	2
C₂×#537×C₈₉	2
#62875	89

Subgroups — C89×#62875 #36440723

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62875 #36440723