Subgroups — C₈₉×#62901 #36440749

Order 22784.

7106 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3560	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3559	C₂	1	2	yes	maximal, complemented
3	C₈₉×#3559	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3544	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3542	C₂	1	4	yes	maximal, complemented
6	C₈₉×#3536	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3535	C₂	1	8	yes	maximal, complemented
8	C₈₉×#3533	C₂	1	8	yes	maximal, complemented
9	C₈₉×#3522	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3513	C₂	1	4	yes	maximal, complemented
11	C₈₉×#3505	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3496	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3494	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3492	C₂	1	4	yes	maximal, complemented
15	C₈₉×#3491	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3485	C₂	1	4	yes	maximal, complemented
17	C₂×#552×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#547×C₈₉	C₂	1	2	yes	maximal, complemented
19	C₈₉×#3459	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3449	C₂	1	2	yes	maximal, complemented
21	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	2	yes	—
22	C₂²×#41×C₈₉	C₂²	1	4	yes	complemented
23	#563×C₈₉	C₂²	1	8	yes	complemented
24	#563×C₈₉	C₂²	1	4	yes	complemented
25	#563×C₈₉	C₂²	1	8	yes	complemented
26	#562×C₈₉	C₂²	1	4	yes	complemented
27	#562×C₈₉	C₂²	1	8	yes	complemented
28	#562×C₈₉	C₂²	1	8	yes	complemented
29	#560×C₈₉	C₂²	1	8	yes	complemented
30	#559×C₈₉	C₂²	1	2	yes	complemented
31	#559×C₈₉	C₂²	1	4	yes	complemented
32	Q₈²×C₈₉	C₂²	1	2	yes	complemented
33	#555×C₈₉	C₂²	1	4	yes	complemented
34	#554×C₈₉	C₂²	1	2	yes	complemented
35	#554×C₈₉	C₂²	1	8	yes	complemented
36	#554×C₈₉	C₂²	1	4	yes	complemented
37	#554×C₈₉	C₂²	1	4	yes	complemented
38	#554×C₈₉	C₂²	1	4	yes	complemented
39	#553×C₈₉	C₂²	1	4	yes	complemented
40	#553×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	8	yes	complemented
44	#553×C₈₉	C₂²	1	8	yes	complemented
45	#552×C₈₉	C₂²	1	4	yes	complemented
46	#552×C₈₉	C₂²	1	8	yes	complemented
47	#552×C₈₉	C₂²	1	4	yes	complemented
48	#552×C₈₉	C₂²	1	8	yes	complemented
49	#552×C₈₉	C₂²	1	8	yes	complemented
50	#552×C₈₉	C₂²	1	4	yes	complemented
51	#551×C₈₉	C₂²	1	8	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	#551×C₈₉	C₂²	1	8	yes	complemented
56	#550×C₈₉	C₂²	1	2	yes	complemented
57	#548×C₈₉	C₂²	1	4	yes	complemented
58	#547×C₈₉	C₂²	1	4	yes	complemented
59	#547×C₈₉	C₂²	1	4	yes	complemented
60	#547×C₈₉	C₂²	1	8	yes	complemented
61	#547×C₈₉	C₂²	1	4	yes	complemented
62	#547×C₈₉	C₂²	1	4	yes	complemented
63	#547×C₈₉	C₂²	1	8	yes	complemented
64	#547×C₈₉	C₂²	1	8	yes	complemented
65	#547×C₈₉	C₂²	1	8	yes	complemented
66	#547×C₈₉	C₂²	1	8	yes	complemented
67	#547×C₈₉	C₂²	1	8	yes	complemented
68	#547×C₈₉	C₂²	1	4	yes	complemented
69	#546×C₈₉	C₂²	1	8	yes	complemented
70	#546×C₈₉	C₂²	1	8	yes	complemented
71	#546×C₈₉	C₂²	1	8	yes	complemented
72	#546×C₈₉	C₂²	1	8	yes	complemented
73	#546×C₈₉	C₂²	1	8	yes	complemented
74	#546×C₈₉	C₂²	1	4	yes	complemented
75	#546×C₈₉	C₂²	1	4	yes	complemented
76	D₄²×C₈₉	C₂²	1	4	yes	complemented
77	#544×C₈₉	C₂²	1	4	yes	complemented
78	#544×C₈₉	C₂²	1	2	yes	complemented
79	#544×C₈₉	C₂²	1	8	yes	complemented
80	#543×C₈₉	C₂²	1	1	yes	characteristic, complemented
81	#543×C₈₉	C₂²	1	4	yes	complemented
82	#542×C₈₉	C₂²	1	4	yes	complemented
83	#542×C₈₉	C₂²	1	4	yes	complemented
84	#542×C₈₉	C₂²	1	8	yes	complemented
85	#542×C₈₉	C₂²	1	4	yes	complemented
86	#542×C₈₉	C₂²	1	8	yes	complemented
87	#540×C₈₉	C₂²	1	4	yes	complemented
88	#540×C₈₉	C₂²	1	4	yes	complemented
89	#540×C₈₉	C₂²	1	8	yes	complemented
90	#539×C₈₉	C₂²	1	4	yes	complemented
91	#539×C₈₉	C₂²	1	2	yes	complemented
92	#539×C₈₉	C₂²	1	4	yes	complemented
93	#539×C₈₉	C₂²	1	4	yes	complemented
94	#539×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	8	yes	complemented
99	#538×C₈₉	C₂²	1	4	yes	complemented
100	#538×C₈₉	C₂²	1	2	yes	complemented
101	#538×C₈₉	C₂²	1	4	yes	complemented
102	#538×C₈₉	C₂²	1	8	yes	complemented
103	#538×C₈₉	C₂²	1	4	yes	complemented
104	#538×C₈₉	C₂²	1	8	yes	complemented
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	2	yes	complemented
109	#536×C₈₉	C₂²	1	8	yes	complemented
110	#536×C₈₉	C₂²	1	8	yes	complemented
111	#535×C₈₉	C₂²	1	8	yes	complemented
112	#535×C₈₉	C₂²	1	2	yes	complemented
113	#534×C₈₉	C₂²	1	2	yes	—
114	#534×C₈₉	C₂²	1	2	yes	—
115	#534×C₈₉	C₂²	1	1	yes	characteristic, complemented
116	#534×C₈₉	C₂²	1	4	yes	complemented
117	#534×C₈₉	C₂²	1	8	yes	complemented
118	#534×C₈₉	C₂²	1	2	yes	complemented
119	#532×C₈₉	C₂²	1	4	yes	complemented
120	#532×C₈₉	C₂²	1	4	yes	complemented
121	#532×C₈₉	C₂²	1	2	yes	complemented
122	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
123	#529×C₈₉	C₂²	1	4	yes	complemented
124	#529×C₈₉	C₂²	1	2	yes	complemented
125	#529×C₈₉	C₂²	1	4	yes	complemented
126	#529×C₈₉	C₂²	1	4	yes	complemented
127	#529×C₈₉	C₂²	1	4	yes	complemented
128	C₂×#126×C₈₉	C₂²	1	2	yes	complemented
129	C₂×#125×C₈₉	C₂²	1	2	yes	complemented
130	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
131	#525×C₈₉	C₂²	1	8	yes	complemented
132	#525×C₈₉	C₂²	1	8	yes	complemented
133	#525×C₈₉	C₂²	1	4	yes	complemented
134	#525×C₈₉	C₂²	1	2	yes	complemented
135	#525×C₈₉	C₂²	1	8	yes	complemented
136	#525×C₈₉	C₂²	1	4	yes	complemented
137	C₂×#123×C₈₉	C₂²	1	2	yes	—
138	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
139	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
140	C₂×#123×C₈₉	C₂²	1	8	yes	complemented
141	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
142	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	C₂×#121×C₈₉	C₂²	1	2	yes	—
145	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
146	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
147	#520×C₈₉	C₂²	1	2	yes	complemented
148	#520×C₈₉	C₂²	1	4	yes	complemented
149	#518×C₈₉	C₂²	1	4	yes	complemented
150	#518×C₈₉	C₂²	1	2	yes	complemented
151	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
153	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	complemented
154	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	complemented
155	C₂×#117×C₈₉	C₂²	1	2	yes	complemented
156	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
157	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	C₂²×C₄⋊C₄×C₈₉	C₂²	1	2	yes	complemented
159	H(5,𝔽₂)×C₈₉	—	4	8	no	—
160	C₂×#41×C₈₉	—	4	16	no	—
161	C₂×#41×C₈₉	C₂³	1	2	yes	—
162	C₂×#41×C₈₉	C₂³	1	4	yes	—
163	C₂×#41×C₈₉	C₂³	1	8	yes	—
164	C₂×#41×C₈₉	C₂³	1	8	yes	—
165	C₂×#41×C₈₉	C₂³	1	8	yes	—
166	C₂×#41×C₈₉	C₂³	1	4	yes	—
167	C₂×#41×C₈₉	C₂³	1	8	yes	—
168	C₂×#41×C₈₉	C₂³	1	8	yes	—
169	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
170	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
171	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
172	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
173	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
174	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
175	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
176	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
177	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
178	C₂²×D₄×C₈₉	C₂³	1	8	yes	—
179	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
180	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
182	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
183	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
184	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
185	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
186	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
187	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
188	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
189	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
190	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
191	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
192	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
193	#127×C₈₉	C₂³	1	4	yes	—
194	#127×C₈₉	C₂³	1	4	yes	—
195	#127×C₈₉	C₂³	1	2	yes	—
196	#126×C₈₉	C₂³	1	8	yes	—
197	#126×C₈₉	C₂³	1	8	yes	—
198	#126×C₈₉	C₂³	1	4	yes	—
199	#126×C₈₉	C₂³	1	4	yes	—
200	#126×C₈₉	C₂³	1	8	yes	—
201	#126×C₈₉	C₂³	1	4	yes	—
202	#126×C₈₉	C₂³	1	8	yes	—
203	#126×C₈₉	C₂³	1	8	yes	—
204	#126×C₈₉	C₂³	1	8	yes	—
205	#126×C₈₉	C₂³	1	8	yes	—
206	#126×C₈₉	C₂³	1	8	yes	—
207	#126×C₈₉	C₂³	1	8	yes	—
208	#125×C₈₉	C₂³	1	8	yes	—
209	#125×C₈₉	C₂³	1	4	yes	—
210	#125×C₈₉	C₂³	1	4	yes	—
211	#125×C₈₉	C₂³	1	8	yes	—
212	#125×C₈₉	C₂³	1	4	yes	—
213	#125×C₈₉	C₂³	1	4	yes	—
214	#125×C₈₉	C₂³	1	2	yes	—
215	#125×C₈₉	C₂³	1	4	yes	—
216	#125×C₈₉	C₂³	1	4	yes	—
217	#125×C₈₉	C₂³	1	8	yes	—
218	#125×C₈₉	C₂³	1	8	yes	—
219	#125×C₈₉	C₂³	1	8	yes	—
220	#124×C₈₉	C₂³	1	4	yes	—
221	#124×C₈₉	C₂³	1	4	yes	—
222	#124×C₈₉	C₂³	1	4	yes	—
223	#124×C₈₉	C₂³	1	2	yes	—
224	#124×C₈₉	C₂³	1	4	yes	—
225	#124×C₈₉	C₂³	1	8	yes	—
226	#124×C₈₉	C₂³	1	8	yes	—
227	#124×C₈₉	C₂³	1	4	yes	—
228	#124×C₈₉	C₂³	1	8	yes	—
229	#124×C₈₉	C₂³	1	8	yes	—
230	#124×C₈₉	C₂³	1	8	yes	—
231	#123×C₈₉	C₂³	1	8	yes	—
232	#123×C₈₉	C₂³	1	8	yes	—
233	#123×C₈₉	C₂³	1	8	yes	—
234	#123×C₈₉	C₂³	1	4	yes	—
235	#123×C₈₉	C₂³	1	8	yes	—
236	#123×C₈₉	C₂³	1	8	yes	—
237	#123×C₈₉	C₂³	1	8	yes	—
238	#123×C₈₉	C₂³	1	8	yes	—
239	#123×C₈₉	C₂³	1	8	yes	—
240	#123×C₈₉	C₂³	1	8	yes	—
241	#123×C₈₉	C₂³	1	8	yes	—
242	#123×C₈₉	C₂³	1	8	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	8	yes	—
247	#123×C₈₉	C₂³	1	4	yes	—
248	#123×C₈₉	C₂³	1	8	yes	—
249	#123×C₈₉	C₂³	1	8	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	4	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	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
263	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
264	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
265	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
266	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
267	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
268	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
269	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
270	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
271	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
272	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
273	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
274	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
275	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
276	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
277	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
278	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
279	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
280	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
281	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
282	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
283	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
284	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
285	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
286	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
287	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
288	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
289	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
290	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
291	#121×C₈₉	C₂³	1	4	yes	—
292	#121×C₈₉	C₂³	1	4	yes	—
293	#121×C₈₉	C₂³	1	4	yes	—
294	#121×C₈₉	C₂³	1	4	yes	—
295	#121×C₈₉	C₂³	1	4	yes	—
296	#121×C₈₉	C₂³	1	4	yes	—
297	#121×C₈₉	C₂³	1	4	yes	—
298	#121×C₈₉	C₂³	1	4	yes	—
299	#121×C₈₉	C₂³	1	8	yes	—
300	#121×C₈₉	C₂³	1	4	yes	—
301	#121×C₈₉	C₂³	1	2	yes	—
302	#121×C₈₉	C₂³	1	4	yes	—
303	#121×C₈₉	C₂³	1	8	yes	—
304	#121×C₈₉	C₂³	1	8	yes	—
305	#121×C₈₉	C₂³	1	8	yes	—
306	#121×C₈₉	C₂³	1	8	yes	—
307	#121×C₈₉	C₂³	1	4	yes	—
308	#121×C₈₉	C₂³	1	8	yes	—
309	#121×C₈₉	C₂³	1	2	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	2	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	8	yes	—
321	#121×C₈₉	C₂³	1	8	yes	—
322	#121×C₈₉	C₂³	1	8	yes	—
323	#120×C₈₉	C₂³	1	4	yes	—
324	#120×C₈₉	C₂³	1	8	yes	—
325	#120×C₈₉	C₂³	1	4	yes	—
326	#120×C₈₉	C₂³	1	8	yes	—
327	#120×C₈₉	C₂³	1	4	yes	—
328	#120×C₈₉	C₂³	1	8	yes	—
329	#120×C₈₉	C₂³	1	8	yes	—
330	#120×C₈₉	C₂³	1	8	yes	—
331	#120×C₈₉	C₂³	1	8	yes	—
332	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
333	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
334	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
335	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
336	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
337	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
338	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
339	C₄×D₄×C₈₉	C₂³	1	4	yes	—
340	C₄×D₄×C₈₉	C₂³	1	4	yes	—
341	C₄×D₄×C₈₉	C₂³	1	4	yes	—
342	C₄×D₄×C₈₉	C₂³	1	4	yes	—
343	C₄×D₄×C₈₉	C₂³	1	4	yes	—
344	C₄×D₄×C₈₉	C₂³	1	4	yes	—
345	C₄×D₄×C₈₉	C₂³	1	8	yes	—
346	C₄×D₄×C₈₉	C₂³	1	4	yes	—
347	C₄×D₄×C₈₉	C₂³	1	4	yes	—
348	C₄×D₄×C₈₉	C₂³	1	4	yes	—
349	C₄×D₄×C₈₉	C₂³	1	8	yes	—
350	C₄×D₄×C₈₉	C₂³	1	8	yes	—
351	C₄×D₄×C₈₉	C₂³	1	8	yes	—
352	C₄×D₄×C₈₉	C₂³	1	8	yes	—
353	C₄×D₄×C₈₉	C₂³	1	4	yes	—
354	C₄×D₄×C₈₉	C₂³	1	4	yes	—
355	C₄×D₄×C₈₉	C₂³	1	8	yes	—
356	C₄×D₄×C₈₉	C₂³	1	4	yes	—
357	C₄×D₄×C₈₉	C₂³	1	8	yes	—
358	C₄×D₄×C₈₉	C₂³	1	8	yes	—
359	C₄×D₄×C₈₉	C₂³	1	4	yes	—
360	C₄×D₄×C₈₉	C₂³	1	4	yes	—
361	C₄×D₄×C₈₉	C₂³	1	2	yes	—
362	C₄×D₄×C₈₉	C₂³	1	4	yes	—
363	C₄×D₄×C₈₉	C₂³	1	8	yes	—
364	C₄×D₄×C₈₉	C₂³	1	4	yes	—
365	C₄×D₄×C₈₉	C₂³	1	8	yes	—
366	C₄×D₄×C₈₉	C₂³	1	8	yes	—
367	C₄×D₄×C₈₉	C₂³	1	8	yes	—
368	C₄×D₄×C₈₉	C₂³	1	4	yes	—
369	C₄×D₄×C₈₉	C₂³	1	4	yes	—
370	#117×C₈₉	C₂³	1	2	yes	—
371	#117×C₈₉	C₂³	1	8	yes	—
372	#117×C₈₉	C₂³	1	8	yes	—
373	#117×C₈₉	C₂³	1	2	yes	—
374	#117×C₈₉	C₂³	1	4	yes	—
375	#117×C₈₉	C₂³	1	2	yes	—
376	#117×C₈₉	C₂³	1	8	yes	—
377	#117×C₈₉	C₂³	1	4	yes	—
378	#117×C₈₉	C₂³	1	4	yes	—
379	#117×C₈₉	C₂³	1	8	yes	—
380	#117×C₈₉	C₂³	1	8	yes	—
381	#117×C₈₉	C₂³	1	8	yes	—
382	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
383	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
385	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
386	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
387	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
388	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
389	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
391	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
392	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
393	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
394	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
396	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
398	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
399	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
400	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
401	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
402	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
403	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
404	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
405	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
406	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
407	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
408	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
409	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
410	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
411	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
412	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
413	C₂×C₂²⋊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	4	yes	—
417	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
418	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
419	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
420	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
421	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
422	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
423	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
424	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
425	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
426	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
427	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
428	#41×C₈₉	—	4	4	no	—
429	#41×C₈₉	—	4	16	no	—
430	#41×C₈₉	—	4	16	no	—
431	#41×C₈₉	—	4	16	no	—
432	#41×C₈₉	—	4	16	no	—
433	#41×C₈₉	—	4	16	no	—
434	#41×C₈₉	—	4	8	no	—
435	#41×C₈₉	—	4	8	no	—
436	C₂×Q₈×C₈₉	—	4	8	no	—
437	C₂×Q₈×C₈₉	—	4	2	no	—
438	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
439	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
440	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
441	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
442	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
443	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
444	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
445	C₂×D₄×C₈₉	—	2	8	no	—
446	C₂×D₄×C₈₉	—	2	16	no	—
447	C₂×D₄×C₈₉	—	2	4	no	—
448	C₂×D₄×C₈₉	—	4	4	no	—
449	C₂×D₄×C₈₉	—	4	4	no	—
450	C₂×D₄×C₈₉	—	4	8	no	—
451	C₂×D₄×C₈₉	—	4	16	no	—
452	C₂×D₄×C₈₉	—	4	8	no	—
453	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
454	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
455	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
456	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
457	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
458	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
459	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
460	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
461	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
462	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
463	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
464	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
465	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
466	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
467	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
468	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
469	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
470	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
471	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
472	C₂²×C₄×C₈₉	—	2	8	no	—
473	C₂²×C₄×C₈₉	—	4	2	no	—
474	C₂²×C₄×C₈₉	—	4	4	no	—
475	C₂²×C₄×C₈₉	—	4	2	no	—
476	C₂²×C₄×C₈₉	—	4	8	no	—
477	C₂²×C₄×C₈₉	—	4	8	no	—
478	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
479	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
483	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
484	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
492	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
493	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
496	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
497	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
498	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
499	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
501	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
503	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
504	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
505	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
507	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
508	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
509	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
510	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
511	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
512	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
513	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
514	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
515	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
516	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
518	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
519	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
520	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
521	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
522	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
523	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
524	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
525	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
526	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
527	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
528	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
529	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
530	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
531	C₄⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
536	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
537	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
538	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
539	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
540	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
541	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
542	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
543	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
544	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
545	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
546	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
547	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
548	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
549	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
550	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
551	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
552	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
553	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
554	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
555	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
561	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	8	yes	—
566	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
567	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
568	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
569	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
570	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
571	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
572	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
573	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
574	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
575	C₄²×C₈₉	C₂⁴	1	4	yes	—
576	C₄²×C₈₉	C₂⁴	1	4	yes	—
577	C₄²×C₈₉	C₂⁴	1	4	yes	—
578	C₄²×C₈₉	C₂⁴	1	4	yes	—
579	C₄²×C₈₉	C₂⁴	1	2	yes	—
580	C₄²×C₈₉	C₂⁴	1	4	yes	—
581	C₄²×C₈₉	C₂⁴	1	4	yes	—
582	C₄²×C₈₉	C₂⁴	1	2	yes	—
583	C₄²×C₈₉	C₂⁴	1	8	yes	—
584	C₄²×C₈₉	C₂⁴	1	8	yes	—
585	C₂³×C₈₉	—	2	4	no	—
586	C₂³×C₈₉	—	2	8	no	—
587	C₂³×C₈₉	—	2	2	no	—
588	C₂³×C₈₉	—	4	1	no	—
589	C₂³×C₈₉	—	4	2	no	—
590	C₂³×C₈₉	—	4	1	no	—
591	C₂³×C₈₉	—	4	2	no	—
592	C₂³×C₈₉	—	4	1	no	—
593	C₂³×C₈₉	—	4	4	no	—
594	C₂³×C₈₉	—	4	1	no	—
595	C₂³×C₈₉	—	4	4	no	—
596	C₂³×C₈₉	—	4	4	no	—
597	C₂³×C₈₉	—	4	4	no	—
598	C₂³×C₈₉	—	4	4	no	—
599	C₂³×C₈₉	H(5,𝔽₂)	1	4	yes	—
600	C₂³×C₈₉	C₂⁵	1	2	yes	—
601	C₂³×C₈₉	C₂⁵	1	8	yes	—
602	C₂³×C₈₉	C₂⁵	1	4	yes	—
603	C₂³×C₈₉	C₂⁵	1	2	yes	—
604	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
605	Q₈×C₈₉	—	2	4	no	—
606	Q₈×C₈₉	—	4	2	no	—
607	Q₈×C₈₉	—	4	8	no	—
608	Q₈×C₈₉	—	4	8	no	—
609	Q₈×C₈₉	—	4	2	no	—
610	Q₈×C₈₉	—	4	2	no	—
611	Q₈×C₈₉	—	4	4	no	—
612	D₄×C₈₉	—	2	8	no	—
613	D₄×C₈₉	—	2	16	no	—
614	D₄×C₈₉	—	2	16	no	—
615	D₄×C₈₉	—	2	8	no	—
616	D₄×C₈₉	—	2	8	no	—
617	D₄×C₈₉	—	2	8	no	—
618	D₄×C₈₉	—	4	4	no	—
619	D₄×C₈₉	—	4	8	no	—
620	D₄×C₈₉	—	4	4	no	—
621	D₄×C₈₉	—	4	4	no	—
622	D₄×C₈₉	—	4	8	no	—
623	D₄×C₈₉	—	4	8	no	—
624	D₄×C₈₉	—	4	8	no	—
625	D₄×C₈₉	—	4	4	no	—
626	D₄×C₈₉	—	4	4	no	—
627	D₄×C₈₉	—	4	2	no	—
628	D₄×C₈₉	—	4	4	no	—
629	D₄×C₈₉	—	4	2	no	—
630	D₄×C₈₉	—	4	8	no	—
631	C₂×C₄×C₈₉	—	2	8	no	—
632	C₂×C₄×C₈₉	—	2	8	no	—
633	C₂×C₄×C₈₉	—	2	4	no	—
634	C₂×C₄×C₈₉	—	2	4	no	—
635	C₂×C₄×C₈₉	—	2	4	no	—
636	C₂×C₄×C₈₉	—	2	8	no	—
637	C₂×C₄×C₈₉	—	2	2	no	—
638	C₂×C₄×C₈₉	—	2	4	no	—
639	C₂×C₄×C₈₉	—	2	2	no	—
640	C₂×C₄×C₈₉	—	2	4	no	—
641	C₂×C₄×C₈₉	—	2	8	no	—
642	C₂×C₄×C₈₉	—	4	1	no	—
643	C₂×C₄×C₈₉	—	4	4	no	—
644	C₂×C₄×C₈₉	—	4	2	no	—
645	C₂×C₄×C₈₉	—	4	2	no	—
646	C₂×C₄×C₈₉	—	4	2	no	—
647	C₂×C₄×C₈₉	—	4	1	no	—
648	C₂×C₄×C₈₉	—	4	8	no	—
649	C₂×C₄×C₈₉	—	4	8	no	—
650	C₂×C₄×C₈₉	—	4	8	no	—
651	C₂×C₄×C₈₉	—	4	8	no	—
652	C₂×C₄×C₈₉	—	4	2	no	—
653	C₂×C₄×C₈₉	—	4	8	no	—
654	C₂×C₄×C₈₉	—	4	2	no	—
655	C₂×C₄×C₈₉	—	4	1	no	—
656	C₂×C₄×C₈₉	—	4	8	no	—
657	C₂×C₄×C₈₉	—	4	4	no	—
658	C₂×C₄×C₈₉	—	4	2	no	—
659	C₂×C₄×C₈₉	—	4	8	no	—
660	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
661	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
662	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
663	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
664	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
665	C₂×C₄×C₈₉	C₂⁵	1	2	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	2	yes	—
670	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
671	C₂×C₄×C₈₉	C₂⁵	1	8	yes	—
672	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
673	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
674	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
675	C₂²×C₈₉	—	2	1	no	—
676	C₂²×C₈₉	—	2	2	no	—
677	C₂²×C₈₉	—	2	1	no	—
678	C₂²×C₈₉	—	2	2	no	—
679	C₂²×C₈₉	—	2	4	no	—
680	C₂²×C₈₉	—	2	8	no	—
681	C₂²×C₈₉	—	2	2	no	—
682	C₂²×C₈₉	—	2	4	no	—
683	C₂²×C₈₉	—	2	2	no	—
684	C₂²×C₈₉	—	2	8	no	—
685	C₂²×C₈₉	—	2	8	no	—
686	C₂²×C₈₉	—	2	4	no	—
687	C₂²×C₈₉	—	2	2	no	—
688	C₂²×C₈₉	—	4	4	no	—
689	C₂²×C₈₉	—	4	8	no	—
690	C₂²×C₈₉	—	8	8	no	—
691	C₂²×C₈₉	—	8	2	no	—
692	C₂²×C₈₉	—	16	4	no	—
693	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	4	yes	—
694	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	2	yes	—
695	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
696	C₄×C₈₉	—	2	2	no	—
697	C₄×C₈₉	—	2	4	no	—
698	C₄×C₈₉	—	2	2	no	—
699	C₄×C₈₉	—	2	2	no	—
700	C₄×C₈₉	—	2	8	no	—
701	C₄×C₈₉	—	2	4	no	—
702	C₄×C₈₉	—	2	2	no	—
703	C₄×C₈₉	—	2	4	no	—
704	C₄×C₈₉	—	2	1	no	—
705	C₄×C₈₉	—	2	2	no	—
706	C₄×C₈₉	—	2	4	no	—
707	C₄×C₈₉	—	2	4	no	—
708	C₄×C₈₉	—	2	4	no	—
709	C₄×C₈₉	—	2	2	no	—
710	C₄×C₈₉	#585	1	2	yes	—
711	#62901	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
712	C₂×C₈₉	—	2	4	no	—
713	C₂×C₈₉	—	2	2	no	—
714	C₂×C₈₉	—	4	4	no	—
715	C₂×C₈₉	—	4	8	no	—
716	C₂×C₈₉	—	4	2	no	—
717	C₂×C₈₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
719	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
720	#3560	C₂×C₈₉	1	4	yes	complemented
721	#3559	C₂×C₈₉	1	2	yes	complemented
722	#3559	C₂×C₈₉	1	4	yes	complemented
723	#3544	C₂×C₈₉	1	4	yes	complemented
724	#3542	C₂×C₈₉	1	4	yes	complemented
725	#3536	C₂×C₈₉	1	2	yes	complemented
726	#3535	C₂×C₈₉	1	8	yes	complemented
727	#3533	C₂×C₈₉	1	8	yes	complemented
728	#3522	C₂×C₈₉	1	2	yes	complemented
729	#3513	C₂×C₈₉	1	4	yes	complemented
730	#3505	C₂×C₈₉	1	2	yes	complemented
731	#3496	C₂×C₈₉	1	1	yes	characteristic, complemented
732	#3494	C₂×C₈₉	1	2	yes	complemented
733	#3492	C₂×C₈₉	1	4	yes	complemented
734	#3491	C₂×C₈₉	1	2	yes	complemented
735	#3485	C₂×C₈₉	1	4	yes	complemented
736	C₂×#552	C₂×C₈₉	1	1	yes	characteristic, complemented
737	C₂×#547	C₂×C₈₉	1	2	yes	complemented
738	#3459	C₂×C₈₉	1	1	yes	characteristic, complemented
739	#3449	C₂×C₈₉	1	2	yes	complemented
740	C₈₉	#62901	1	1	yes	characteristic, direct product factor, Sylow
741	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	2	yes	—
742	C₂²×#41	C₂²×C₈₉	1	4	yes	complemented
743	#563	C₂²×C₈₉	1	8	yes	complemented
744	#563	C₂²×C₈₉	1	4	yes	complemented
745	#563	C₂²×C₈₉	1	8	yes	complemented
746	#562	C₂²×C₈₉	1	4	yes	complemented
747	#562	C₂²×C₈₉	1	8	yes	complemented
748	#562	C₂²×C₈₉	1	8	yes	complemented
749	#560	C₂²×C₈₉	1	8	yes	complemented
750	#559	C₂²×C₈₉	1	2	yes	complemented
751	#559	C₂²×C₈₉	1	4	yes	complemented
752	Q₈²	C₂²×C₈₉	1	2	yes	complemented
753	#555	C₂²×C₈₉	1	4	yes	complemented
754	#554	C₂²×C₈₉	1	2	yes	complemented
755	#554	C₂²×C₈₉	1	8	yes	complemented
756	#554	C₂²×C₈₉	1	4	yes	complemented
757	#554	C₂²×C₈₉	1	4	yes	complemented
758	#554	C₂²×C₈₉	1	4	yes	complemented
759	#553	C₂²×C₈₉	1	4	yes	complemented
760	#553	C₂²×C₈₉	1	8	yes	complemented
761	#553	C₂²×C₈₉	1	4	yes	complemented
762	#553	C₂²×C₈₉	1	4	yes	complemented
763	#553	C₂²×C₈₉	1	8	yes	complemented
764	#553	C₂²×C₈₉	1	8	yes	complemented
765	#552	C₂²×C₈₉	1	4	yes	complemented
766	#552	C₂²×C₈₉	1	8	yes	complemented
767	#552	C₂²×C₈₉	1	4	yes	complemented
768	#552	C₂²×C₈₉	1	8	yes	complemented
769	#552	C₂²×C₈₉	1	8	yes	complemented
770	#552	C₂²×C₈₉	1	4	yes	complemented
771	#551	C₂²×C₈₉	1	8	yes	complemented
772	#551	C₂²×C₈₉	1	8	yes	complemented
773	#551	C₂²×C₈₉	1	8	yes	complemented
774	#551	C₂²×C₈₉	1	8	yes	complemented
775	#551	C₂²×C₈₉	1	8	yes	complemented
776	#550	C₂²×C₈₉	1	2	yes	complemented
777	#548	C₂²×C₈₉	1	4	yes	complemented
778	#547	C₂²×C₈₉	1	4	yes	complemented
779	#547	C₂²×C₈₉	1	4	yes	complemented
780	#547	C₂²×C₈₉	1	8	yes	complemented
781	#547	C₂²×C₈₉	1	4	yes	complemented
782	#547	C₂²×C₈₉	1	4	yes	complemented
783	#547	C₂²×C₈₉	1	8	yes	complemented
784	#547	C₂²×C₈₉	1	8	yes	complemented
785	#547	C₂²×C₈₉	1	8	yes	complemented
786	#547	C₂²×C₈₉	1	8	yes	complemented
787	#547	C₂²×C₈₉	1	8	yes	complemented
788	#547	C₂²×C₈₉	1	4	yes	complemented
789	#546	C₂²×C₈₉	1	8	yes	complemented
790	#546	C₂²×C₈₉	1	8	yes	complemented
791	#546	C₂²×C₈₉	1	8	yes	complemented
792	#546	C₂²×C₈₉	1	8	yes	complemented
793	#546	C₂²×C₈₉	1	8	yes	complemented
794	#546	C₂²×C₈₉	1	4	yes	complemented
795	#546	C₂²×C₈₉	1	4	yes	complemented
796	D₄²	C₂²×C₈₉	1	4	yes	complemented
797	#544	C₂²×C₈₉	1	4	yes	complemented
798	#544	C₂²×C₈₉	1	2	yes	complemented
799	#544	C₂²×C₈₉	1	8	yes	complemented
800	#543	C₂²×C₈₉	1	1	yes	characteristic, complemented
801	#543	C₂²×C₈₉	1	4	yes	complemented
802	#542	C₂²×C₈₉	1	4	yes	complemented
803	#542	C₂²×C₈₉	1	4	yes	complemented
804	#542	C₂²×C₈₉	1	8	yes	complemented
805	#542	C₂²×C₈₉	1	4	yes	complemented
806	#542	C₂²×C₈₉	1	8	yes	complemented
807	#540	C₂²×C₈₉	1	4	yes	complemented
808	#540	C₂²×C₈₉	1	4	yes	complemented
809	#540	C₂²×C₈₉	1	8	yes	complemented
810	#539	C₂²×C₈₉	1	4	yes	complemented
811	#539	C₂²×C₈₉	1	2	yes	complemented
812	#539	C₂²×C₈₉	1	4	yes	complemented
813	#539	C₂²×C₈₉	1	4	yes	complemented
814	#539	C₂²×C₈₉	1	8	yes	complemented
815	#539	C₂²×C₈₉	1	8	yes	complemented
816	#539	C₂²×C₈₉	1	4	yes	complemented
817	#539	C₂²×C₈₉	1	8	yes	complemented
818	#539	C₂²×C₈₉	1	8	yes	complemented
819	#538	C₂²×C₈₉	1	4	yes	complemented
820	#538	C₂²×C₈₉	1	2	yes	complemented
821	#538	C₂²×C₈₉	1	4	yes	complemented
822	#538	C₂²×C₈₉	1	8	yes	complemented
823	#538	C₂²×C₈₉	1	4	yes	complemented
824	#538	C₂²×C₈₉	1	8	yes	complemented
825	#537	C₂²×C₈₉	1	4	yes	complemented
826	#537	C₂²×C₈₉	1	4	yes	complemented
827	#537	C₂²×C₈₉	1	4	yes	complemented
828	#537	C₂²×C₈₉	1	2	yes	complemented
829	#536	C₂²×C₈₉	1	8	yes	complemented
830	#536	C₂²×C₈₉	1	8	yes	complemented
831	#535	C₂²×C₈₉	1	8	yes	complemented
832	#535	C₂²×C₈₉	1	2	yes	complemented
833	#534	C₂²×C₈₉	1	2	yes	—
834	#534	C₂²×C₈₉	1	2	yes	—
835	#534	C₂²×C₈₉	1	1	yes	characteristic, complemented
836	#534	C₂²×C₈₉	1	4	yes	complemented
837	#534	C₂²×C₈₉	1	8	yes	complemented
838	#534	C₂²×C₈₉	1	2	yes	complemented
839	#532	C₂²×C₈₉	1	4	yes	complemented
840	#532	C₂²×C₈₉	1	4	yes	complemented
841	#532	C₂²×C₈₉	1	2	yes	complemented
842	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
843	#529	C₂²×C₈₉	1	4	yes	complemented
844	#529	C₂²×C₈₉	1	2	yes	complemented
845	#529	C₂²×C₈₉	1	4	yes	complemented
846	#529	C₂²×C₈₉	1	4	yes	complemented
847	#529	C₂²×C₈₉	1	4	yes	complemented
848	C₂×#126	C₂²×C₈₉	1	2	yes	complemented
849	C₂×#125	C₂²×C₈₉	1	2	yes	complemented
850	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
851	#525	C₂²×C₈₉	1	8	yes	complemented
852	#525	C₂²×C₈₉	1	8	yes	complemented
853	#525	C₂²×C₈₉	1	4	yes	complemented
854	#525	C₂²×C₈₉	1	2	yes	complemented
855	#525	C₂²×C₈₉	1	8	yes	complemented
856	#525	C₂²×C₈₉	1	4	yes	complemented
857	C₂×#123	C₂²×C₈₉	1	2	yes	—
858	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
859	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
860	C₂×#123	C₂²×C₈₉	1	8	yes	complemented
861	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
862	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
863	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
864	C₂×#121	C₂²×C₈₉	1	2	yes	—
865	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
866	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
867	#520	C₂²×C₈₉	1	2	yes	complemented
868	#520	C₂²×C₈₉	1	4	yes	complemented
869	#518	C₂²×C₈₉	1	4	yes	complemented
870	#518	C₂²×C₈₉	1	2	yes	complemented
871	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
872	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
873	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	complemented
874	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	complemented
875	C₂×#117	C₂²×C₈₉	1	2	yes	complemented
876	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
877	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
878	C₂²×C₄⋊C₄	C₂²×C₈₉	1	2	yes	complemented
879	H(5,𝔽₂)	—	4	8	no	—
880	C₂×#41	—	4	16	no	—
881	C₂×#41	C₂³×C₈₉	1	2	yes	—
882	C₂×#41	C₂³×C₈₉	1	4	yes	—
883	C₂×#41	C₂³×C₈₉	1	8	yes	—
884	C₂×#41	C₂³×C₈₉	1	8	yes	—
885	C₂×#41	C₂³×C₈₉	1	8	yes	—
886	C₂×#41	C₂³×C₈₉	1	4	yes	—
887	C₂×#41	C₂³×C₈₉	1	8	yes	—
888	C₂×#41	C₂³×C₈₉	1	8	yes	—
889	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
890	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
891	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
892	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
893	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
894	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
895	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
896	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
897	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
898	C₂²×D₄	C₂³×C₈₉	1	8	yes	—
899	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
900	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
902	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
903	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
904	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
905	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
906	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
907	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
908	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
909	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
910	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
911	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
912	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
913	#127	C₂³×C₈₉	1	4	yes	—
914	#127	C₂³×C₈₉	1	4	yes	—
915	#127	C₂³×C₈₉	1	2	yes	—
916	#126	C₂³×C₈₉	1	8	yes	—
917	#126	C₂³×C₈₉	1	8	yes	—
918	#126	C₂³×C₈₉	1	4	yes	—
919	#126	C₂³×C₈₉	1	4	yes	—
920	#126	C₂³×C₈₉	1	8	yes	—
921	#126	C₂³×C₈₉	1	4	yes	—
922	#126	C₂³×C₈₉	1	8	yes	—
923	#126	C₂³×C₈₉	1	8	yes	—
924	#126	C₂³×C₈₉	1	8	yes	—
925	#126	C₂³×C₈₉	1	8	yes	—
926	#126	C₂³×C₈₉	1	8	yes	—
927	#126	C₂³×C₈₉	1	8	yes	—
928	#125	C₂³×C₈₉	1	8	yes	—
929	#125	C₂³×C₈₉	1	4	yes	—
930	#125	C₂³×C₈₉	1	4	yes	—
931	#125	C₂³×C₈₉	1	8	yes	—
932	#125	C₂³×C₈₉	1	4	yes	—
933	#125	C₂³×C₈₉	1	4	yes	—
934	#125	C₂³×C₈₉	1	2	yes	—
935	#125	C₂³×C₈₉	1	4	yes	—
936	#125	C₂³×C₈₉	1	4	yes	—
937	#125	C₂³×C₈₉	1	8	yes	—
938	#125	C₂³×C₈₉	1	8	yes	—
939	#125	C₂³×C₈₉	1	8	yes	—
940	#124	C₂³×C₈₉	1	4	yes	—
941	#124	C₂³×C₈₉	1	4	yes	—
942	#124	C₂³×C₈₉	1	4	yes	—
943	#124	C₂³×C₈₉	1	2	yes	—
944	#124	C₂³×C₈₉	1	4	yes	—
945	#124	C₂³×C₈₉	1	8	yes	—
946	#124	C₂³×C₈₉	1	8	yes	—
947	#124	C₂³×C₈₉	1	4	yes	—
948	#124	C₂³×C₈₉	1	8	yes	—
949	#124	C₂³×C₈₉	1	8	yes	—
950	#124	C₂³×C₈₉	1	8	yes	—
951	#123	C₂³×C₈₉	1	8	yes	—
952	#123	C₂³×C₈₉	1	8	yes	—
953	#123	C₂³×C₈₉	1	8	yes	—
954	#123	C₂³×C₈₉	1	4	yes	—
955	#123	C₂³×C₈₉	1	8	yes	—
956	#123	C₂³×C₈₉	1	8	yes	—
957	#123	C₂³×C₈₉	1	8	yes	—
958	#123	C₂³×C₈₉	1	8	yes	—
959	#123	C₂³×C₈₉	1	8	yes	—
960	#123	C₂³×C₈₉	1	8	yes	—
961	#123	C₂³×C₈₉	1	8	yes	—
962	#123	C₂³×C₈₉	1	8	yes	—
963	#123	C₂³×C₈₉	1	8	yes	—
964	#123	C₂³×C₈₉	1	8	yes	—
965	#123	C₂³×C₈₉	1	8	yes	—
966	#123	C₂³×C₈₉	1	8	yes	—
967	#123	C₂³×C₈₉	1	4	yes	—
968	#123	C₂³×C₈₉	1	8	yes	—
969	#123	C₂³×C₈₉	1	8	yes	—
970	#123	C₂³×C₈₉	1	4	yes	—
971	#123	C₂³×C₈₉	1	4	yes	—
972	#123	C₂³×C₈₉	1	4	yes	—
973	#123	C₂³×C₈₉	1	8	yes	—
974	#123	C₂³×C₈₉	1	4	yes	—
975	#123	C₂³×C₈₉	1	8	yes	—
976	#123	C₂³×C₈₉	1	8	yes	—
977	#123	C₂³×C₈₉	1	8	yes	—
978	#123	C₂³×C₈₉	1	8	yes	—
979	#123	C₂³×C₈₉	1	8	yes	—
980	#123	C₂³×C₈₉	1	8	yes	—
981	#123	C₂³×C₈₉	1	8	yes	—
982	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
983	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
984	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
985	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
986	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
987	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
988	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
989	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
990	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
991	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
992	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
993	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
994	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
995	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
996	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
997	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
998	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
999	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1000	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1001	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1002	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1003	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1004	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1005	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1006	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1007	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1008	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1009	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1010	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1011	#121	C₂³×C₈₉	1	4	yes	—
1012	#121	C₂³×C₈₉	1	4	yes	—
1013	#121	C₂³×C₈₉	1	4	yes	—
1014	#121	C₂³×C₈₉	1	4	yes	—
1015	#121	C₂³×C₈₉	1	4	yes	—
1016	#121	C₂³×C₈₉	1	4	yes	—
1017	#121	C₂³×C₈₉	1	4	yes	—
1018	#121	C₂³×C₈₉	1	4	yes	—
1019	#121	C₂³×C₈₉	1	8	yes	—
1020	#121	C₂³×C₈₉	1	4	yes	—
1021	#121	C₂³×C₈₉	1	2	yes	—
1022	#121	C₂³×C₈₉	1	4	yes	—
1023	#121	C₂³×C₈₉	1	8	yes	—
1024	#121	C₂³×C₈₉	1	8	yes	—
1025	#121	C₂³×C₈₉	1	8	yes	—
1026	#121	C₂³×C₈₉	1	8	yes	—
1027	#121	C₂³×C₈₉	1	4	yes	—
1028	#121	C₂³×C₈₉	1	8	yes	—
1029	#121	C₂³×C₈₉	1	2	yes	—
1030	#121	C₂³×C₈₉	1	4	yes	—
1031	#121	C₂³×C₈₉	1	8	yes	—
1032	#121	C₂³×C₈₉	1	4	yes	—
1033	#121	C₂³×C₈₉	1	2	yes	—
1034	#121	C₂³×C₈₉	1	4	yes	—
1035	#121	C₂³×C₈₉	1	8	yes	—
1036	#121	C₂³×C₈₉	1	8	yes	—
1037	#121	C₂³×C₈₉	1	8	yes	—
1038	#121	C₂³×C₈₉	1	8	yes	—
1039	#121	C₂³×C₈₉	1	8	yes	—
1040	#121	C₂³×C₈₉	1	8	yes	—
1041	#121	C₂³×C₈₉	1	8	yes	—
1042	#121	C₂³×C₈₉	1	8	yes	—
1043	#120	C₂³×C₈₉	1	4	yes	—
1044	#120	C₂³×C₈₉	1	8	yes	—
1045	#120	C₂³×C₈₉	1	4	yes	—
1046	#120	C₂³×C₈₉	1	8	yes	—
1047	#120	C₂³×C₈₉	1	4	yes	—
1048	#120	C₂³×C₈₉	1	8	yes	—
1049	#120	C₂³×C₈₉	1	8	yes	—
1050	#120	C₂³×C₈₉	1	8	yes	—
1051	#120	C₂³×C₈₉	1	8	yes	—
1052	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1053	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1054	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1055	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1056	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1057	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1058	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1059	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1060	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1061	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1062	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1063	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1064	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1065	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1066	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1067	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1068	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1069	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1070	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1071	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1072	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1073	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1074	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1075	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1076	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1077	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1078	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1079	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1080	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1081	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1082	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1083	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1084	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1085	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1086	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1087	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1088	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1089	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1090	#117	C₂³×C₈₉	1	2	yes	—
1091	#117	C₂³×C₈₉	1	8	yes	—
1092	#117	C₂³×C₈₉	1	8	yes	—
1093	#117	C₂³×C₈₉	1	2	yes	—
1094	#117	C₂³×C₈₉	1	4	yes	—
1095	#117	C₂³×C₈₉	1	2	yes	—
1096	#117	C₂³×C₈₉	1	8	yes	—
1097	#117	C₂³×C₈₉	1	4	yes	—
1098	#117	C₂³×C₈₉	1	4	yes	—
1099	#117	C₂³×C₈₉	1	8	yes	—
1100	#117	C₂³×C₈₉	1	8	yes	—
1101	#117	C₂³×C₈₉	1	8	yes	—
1102	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1103	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1105	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1106	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1107	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1108	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1109	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1111	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1112	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1113	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1114	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1116	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1118	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1119	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1120	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1121	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1122	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1123	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1124	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1125	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1127	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1128	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1130	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1131	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	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×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1136	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1137	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1138	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1139	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1140	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1141	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1142	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1143	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1144	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1145	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1146	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1147	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1148	#41	—	4	4	no	—
1149	#41	—	4	16	no	—
1150	#41	—	4	16	no	—
1151	#41	—	4	16	no	—
1152	#41	—	4	16	no	—
1153	#41	—	4	16	no	—
1154	#41	—	4	8	no	—
1155	#41	—	4	8	no	—
1156	C₂×Q₈	—	4	8	no	—
1157	C₂×Q₈	—	4	2	no	—
1158	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1159	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1160	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1161	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1162	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1163	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1164	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1165	C₂×D₄	—	2	8	no	—
1166	C₂×D₄	—	2	16	no	—
1167	C₂×D₄	—	2	4	no	—
1168	C₂×D₄	—	4	4	no	—
1169	C₂×D₄	—	4	4	no	—
1170	C₂×D₄	—	4	8	no	—
1171	C₂×D₄	—	4	16	no	—
1172	C₂×D₄	—	4	8	no	—
1173	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1174	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1175	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1176	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1177	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1178	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1179	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1180	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1181	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1182	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1183	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1184	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1185	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1186	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1187	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1188	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1189	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1190	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1191	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1192	C₂²×C₄	—	2	8	no	—
1193	C₂²×C₄	—	4	2	no	—
1194	C₂²×C₄	—	4	4	no	—
1195	C₂²×C₄	—	4	2	no	—
1196	C₂²×C₄	—	4	8	no	—
1197	C₂²×C₄	—	4	8	no	—
1198	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1199	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1202	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1203	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1204	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1205	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1206	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1207	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1208	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1209	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1212	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1213	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1214	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1215	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1216	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1217	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1218	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1219	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1221	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1222	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1223	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1224	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1225	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1226	C₂²×C₄	C₂⁴×C₈₉	1	8	yes	—
1227	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1228	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1229	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1230	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1231	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1232	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1233	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1234	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1235	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1236	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1237	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1238	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1239	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1240	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1241	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1242	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1243	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1244	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1245	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1246	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1247	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1248	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1249	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1250	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1251	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1252	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1253	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1254	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1255	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1256	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1257	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1258	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1259	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1260	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1261	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1262	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1263	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1264	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1265	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1266	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1267	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1268	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1269	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1270	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1271	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1272	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1273	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1274	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1275	C₂²⋊C₄	C₂⁴×C₈₉	1	4	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	8	yes	—
1280	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1281	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1282	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1283	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1284	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1285	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1286	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1287	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1288	C₂²⋊C₄	C₂⁴×C₈₉	1	8	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	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1293	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1294	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1295	C₄²	C₂⁴×C₈₉	1	4	yes	—
1296	C₄²	C₂⁴×C₈₉	1	4	yes	—
1297	C₄²	C₂⁴×C₈₉	1	4	yes	—
1298	C₄²	C₂⁴×C₈₉	1	4	yes	—
1299	C₄²	C₂⁴×C₈₉	1	2	yes	—
1300	C₄²	C₂⁴×C₈₉	1	4	yes	—
1301	C₄²	C₂⁴×C₈₉	1	4	yes	—
1302	C₄²	C₂⁴×C₈₉	1	2	yes	—
1303	C₄²	C₂⁴×C₈₉	1	8	yes	—
1304	C₄²	C₂⁴×C₈₉	1	8	yes	—
1305	C₂³	—	2	4	no	—
1306	C₂³	—	2	8	no	—
1307	C₂³	—	2	2	no	—
1308	C₂³	—	4	1	no	—
1309	C₂³	—	4	2	no	—
1310	C₂³	—	4	1	no	—
1311	C₂³	—	4	2	no	—
1312	C₂³	—	4	1	no	—
1313	C₂³	—	4	4	no	—
1314	C₂³	—	4	1	no	—
1315	C₂³	—	4	4	no	—
1316	C₂³	—	4	4	no	—
1317	C₂³	—	4	4	no	—
1318	C₂³	—	4	4	no	—
1319	C₂³	H(5,𝔽₂)×C₈₉	1	4	yes	—
1320	C₂³	C₂⁵×C₈₉	1	2	yes	—
1321	C₂³	C₂⁵×C₈₉	1	8	yes	—
1322	C₂³	C₂⁵×C₈₉	1	4	yes	—
1323	C₂³	C₂⁵×C₈₉	1	2	yes	—
1324	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1325	Q₈	—	2	4	no	—
1326	Q₈	—	4	2	no	—
1327	Q₈	—	4	8	no	—
1328	Q₈	—	4	8	no	—
1329	Q₈	—	4	2	no	—
1330	Q₈	—	4	2	no	—
1331	Q₈	—	4	4	no	—
1332	D₄	—	2	8	no	—
1333	D₄	—	2	16	no	—
1334	D₄	—	2	16	no	—
1335	D₄	—	2	8	no	—
1336	D₄	—	2	8	no	—
1337	D₄	—	2	8	no	—
1338	D₄	—	4	4	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	4	no	—
1342	D₄	—	4	8	no	—
1343	D₄	—	4	8	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	4	no	—
1346	D₄	—	4	4	no	—
1347	D₄	—	4	2	no	—
1348	D₄	—	4	4	no	—
1349	D₄	—	4	2	no	—
1350	D₄	—	4	8	no	—
1351	C₂×C₄	—	2	8	no	—
1352	C₂×C₄	—	2	8	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	4	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	—	2	2	no	—
1360	C₂×C₄	—	2	4	no	—
1361	C₂×C₄	—	2	8	no	—
1362	C₂×C₄	—	4	1	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	2	no	—
1365	C₂×C₄	—	4	2	no	—
1366	C₂×C₄	—	4	2	no	—
1367	C₂×C₄	—	4	1	no	—
1368	C₂×C₄	—	4	8	no	—
1369	C₂×C₄	—	4	8	no	—
1370	C₂×C₄	—	4	8	no	—
1371	C₂×C₄	—	4	8	no	—
1372	C₂×C₄	—	4	2	no	—
1373	C₂×C₄	—	4	8	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	1	no	—
1376	C₂×C₄	—	4	8	no	—
1377	C₂×C₄	—	4	4	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	4	8	no	—
1380	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1381	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1382	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1383	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1384	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1385	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1386	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1387	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1388	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1389	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1390	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1391	C₂×C₄	C₂⁵×C₈₉	1	8	yes	—
1392	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1393	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1394	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	4	no	—
1400	C₂²	—	2	8	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	4	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	8	no	—
1405	C₂²	—	2	8	no	—
1406	C₂²	—	2	4	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	4	4	no	—
1409	C₂²	—	4	8	no	—
1410	C₂²	—	8	8	no	—
1411	C₂²	—	8	2	no	—
1412	C₂²	—	16	4	no	—
1413	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	4	yes	—
1414	C₂²	C₂×H(5,𝔽₂)×C₈₉	1	2	yes	—
1415	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	4	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	8	no	—
1421	C₄	—	2	4	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	4	no	—
1424	C₄	—	2	1	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	4	no	—
1427	C₄	—	2	4	no	—
1428	C₄	—	2	4	no	—
1429	C₄	—	2	2	no	—
1430	C₄	#585×C₈₉	1	2	yes	—
1431	C₂	—	2	4	no	—
1432	C₂	—	2	2	no	—
1433	C₂	—	4	4	no	—
1434	C₂	—	4	8	no	—
1435	C₂	—	4	2	no	—
1436	C₂	C₂²×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
1437	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1438	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×#3560	C₂	semidirect
2. C₈₉×#3559	C₂	semidirect
3. C₈₉×#3559	C₂	semidirect
4. C₈₉×#3544	C₂	semidirect
5. C₈₉×#3542	C₂	semidirect
6. C₈₉×#3536	C₂	semidirect
7. C₈₉×#3535	C₂	semidirect
8. C₈₉×#3533	C₂	semidirect
9. C₈₉×#3522	C₂	semidirect
10. C₈₉×#3513	C₂	semidirect
11. C₈₉×#3505	C₂	semidirect
12. C₈₉×#3496	C₂	semidirect
13. C₈₉×#3494	C₂	semidirect
14. C₈₉×#3492	C₂	semidirect
15. C₈₉×#3491	C₂	semidirect
16. C₈₉×#3485	C₂	semidirect
17. C₂×#552×C₈₉	C₂	semidirect
18. C₂×#547×C₈₉	C₂	semidirect
19. C₈₉×#3459	C₂	semidirect
20. C₈₉×#3449	C₂	semidirect
22. C₂²×#41×C₈₉	C₂²	semidirect
23. #563×C₈₉	C₂²	semidirect
24. #563×C₈₉	C₂²	semidirect
25. #563×C₈₉	C₂²	semidirect
26. #562×C₈₉	C₂²	semidirect
27. #562×C₈₉	C₂²	semidirect
28. #562×C₈₉	C₂²	semidirect
29. #560×C₈₉	C₂²	semidirect
30. #559×C₈₉	C₂²	semidirect
31. #559×C₈₉	C₂²	semidirect
32. Q₈²×C₈₉	C₂²	semidirect
33. #555×C₈₉	C₂²	semidirect
34. #554×C₈₉	C₂²	semidirect
35. #554×C₈₉	C₂²	semidirect
36. #554×C₈₉	C₂²	semidirect
37. #554×C₈₉	C₂²	semidirect
38. #554×C₈₉	C₂²	semidirect
39. #553×C₈₉	C₂²	semidirect
40. #553×C₈₉	C₂²	semidirect
41. #553×C₈₉	C₂²	semidirect
42. #553×C₈₉	C₂²	semidirect
43. #553×C₈₉	C₂²	semidirect
44. #553×C₈₉	C₂²	semidirect
45. #552×C₈₉	C₂²	semidirect
46. #552×C₈₉	C₂²	semidirect
47. #552×C₈₉	C₂²	semidirect
48. #552×C₈₉	C₂²	semidirect
49. #552×C₈₉	C₂²	semidirect
50. #552×C₈₉	C₂²	semidirect
51. #551×C₈₉	C₂²	semidirect
52. #551×C₈₉	C₂²	semidirect
53. #551×C₈₉	C₂²	semidirect
54. #551×C₈₉	C₂²	semidirect
55. #551×C₈₉	C₂²	semidirect
56. #550×C₈₉	C₂²	semidirect
57. #548×C₈₉	C₂²	semidirect
58. #547×C₈₉	C₂²	semidirect
59. #547×C₈₉	C₂²	semidirect
60. #547×C₈₉	C₂²	semidirect
61. #547×C₈₉	C₂²	semidirect
62. #547×C₈₉	C₂²	semidirect
63. #547×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. #546×C₈₉	C₂²	semidirect
70. #546×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. D₄²×C₈₉	C₂²	semidirect
77. #544×C₈₉	C₂²	semidirect
78. #544×C₈₉	C₂²	semidirect
79. #544×C₈₉	C₂²	semidirect
80. #543×C₈₉	C₂²	semidirect
81. #543×C₈₉	C₂²	semidirect
82. #542×C₈₉	C₂²	semidirect
83. #542×C₈₉	C₂²	semidirect
84. #542×C₈₉	C₂²	semidirect
85. #542×C₈₉	C₂²	semidirect
86. #542×C₈₉	C₂²	semidirect
87. #540×C₈₉	C₂²	semidirect
88. #540×C₈₉	C₂²	semidirect
89. #540×C₈₉	C₂²	semidirect
90. #539×C₈₉	C₂²	semidirect
91. #539×C₈₉	C₂²	semidirect
92. #539×C₈₉	C₂²	semidirect
93. #539×C₈₉	C₂²	semidirect
94. #539×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
104. #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. #536×C₈₉	C₂²	semidirect
110. #536×C₈₉	C₂²	semidirect
111. #535×C₈₉	C₂²	semidirect
112. #535×C₈₉	C₂²	semidirect
115. #534×C₈₉	C₂²	semidirect
116. #534×C₈₉	C₂²	semidirect
117. #534×C₈₉	C₂²	semidirect
118. #534×C₈₉	C₂²	semidirect
119. #532×C₈₉	C₂²	semidirect
120. #532×C₈₉	C₂²	semidirect
121. #532×C₈₉	C₂²	semidirect
122. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
123. #529×C₈₉	C₂²	semidirect
124. #529×C₈₉	C₂²	semidirect
125. #529×C₈₉	C₂²	semidirect
126. #529×C₈₉	C₂²	semidirect
127. #529×C₈₉	C₂²	semidirect
128. C₂×#126×C₈₉	C₂²	semidirect
129. C₂×#125×C₈₉	C₂²	semidirect
130. C₂×#125×C₈₉	C₂²	semidirect
131. #525×C₈₉	C₂²	semidirect
132. #525×C₈₉	C₂²	semidirect
133. #525×C₈₉	C₂²	semidirect
134. #525×C₈₉	C₂²	semidirect
135. #525×C₈₉	C₂²	semidirect
136. #525×C₈₉	C₂²	semidirect
138. C₂×#123×C₈₉	C₂²	semidirect
139. C₂×#123×C₈₉	C₂²	semidirect
140. C₂×#123×C₈₉	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
143. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
145. C₂×#121×C₈₉	C₂²	semidirect
146. C₂×#121×C₈₉	C₂²	semidirect
147. #520×C₈₉	C₂²	semidirect
148. #520×C₈₉	C₂²	semidirect
149. #518×C₈₉	C₂²	semidirect
150. #518×C₈₉	C₂²	semidirect
151. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
153. C₂×C₄×D₄×C₈₉	C₂²	semidirect
154. C₂×C₄×D₄×C₈₉	C₂²	semidirect
155. C₂×#117×C₈₉	C₂²	semidirect
156. C₂×#117×C₈₉	C₂²	semidirect
157. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
158. C₂²×C₄⋊C₄×C₈₉	C₂²	semidirect
711. #62901	C₈₉	direct (N × H)
720. #3560	C₂×C₈₉	semidirect
721. #3559	C₂×C₈₉	semidirect
722. #3559	C₂×C₈₉	semidirect
723. #3544	C₂×C₈₉	semidirect
724. #3542	C₂×C₈₉	semidirect
725. #3536	C₂×C₈₉	semidirect
726. #3535	C₂×C₈₉	semidirect
727. #3533	C₂×C₈₉	semidirect
728. #3522	C₂×C₈₉	semidirect
729. #3513	C₂×C₈₉	semidirect
730. #3505	C₂×C₈₉	semidirect
731. #3496	C₂×C₈₉	semidirect
732. #3494	C₂×C₈₉	semidirect
733. #3492	C₂×C₈₉	semidirect
734. #3491	C₂×C₈₉	semidirect
735. #3485	C₂×C₈₉	semidirect
736. C₂×#552	C₂×C₈₉	semidirect
737. C₂×#547	C₂×C₈₉	semidirect
738. #3459	C₂×C₈₉	semidirect
739. #3449	C₂×C₈₉	semidirect
740. C₈₉	#62901	direct (N × H)
742. C₂²×#41	C₂²×C₈₉	semidirect
743. #563	C₂²×C₈₉	semidirect
744. #563	C₂²×C₈₉	semidirect
745. #563	C₂²×C₈₉	semidirect
746. #562	C₂²×C₈₉	semidirect
747. #562	C₂²×C₈₉	semidirect
748. #562	C₂²×C₈₉	semidirect
749. #560	C₂²×C₈₉	semidirect
750. #559	C₂²×C₈₉	semidirect
751. #559	C₂²×C₈₉	semidirect
752. Q₈²	C₂²×C₈₉	semidirect
753. #555	C₂²×C₈₉	semidirect
754. #554	C₂²×C₈₉	semidirect
755. #554	C₂²×C₈₉	semidirect
756. #554	C₂²×C₈₉	semidirect
757. #554	C₂²×C₈₉	semidirect
758. #554	C₂²×C₈₉	semidirect
759. #553	C₂²×C₈₉	semidirect
760. #553	C₂²×C₈₉	semidirect
761. #553	C₂²×C₈₉	semidirect
762. #553	C₂²×C₈₉	semidirect
763. #553	C₂²×C₈₉	semidirect
764. #553	C₂²×C₈₉	semidirect
765. #552	C₂²×C₈₉	semidirect
766. #552	C₂²×C₈₉	semidirect
767. #552	C₂²×C₈₉	semidirect
768. #552	C₂²×C₈₉	semidirect
769. #552	C₂²×C₈₉	semidirect
770. #552	C₂²×C₈₉	semidirect
771. #551	C₂²×C₈₉	semidirect
772. #551	C₂²×C₈₉	semidirect
773. #551	C₂²×C₈₉	semidirect
774. #551	C₂²×C₈₉	semidirect
775. #551	C₂²×C₈₉	semidirect
776. #550	C₂²×C₈₉	semidirect
777. #548	C₂²×C₈₉	semidirect
778. #547	C₂²×C₈₉	semidirect
779. #547	C₂²×C₈₉	semidirect
780. #547	C₂²×C₈₉	semidirect
781. #547	C₂²×C₈₉	semidirect
782. #547	C₂²×C₈₉	semidirect
783. #547	C₂²×C₈₉	semidirect
784. #547	C₂²×C₈₉	semidirect
785. #547	C₂²×C₈₉	semidirect
786. #547	C₂²×C₈₉	semidirect
787. #547	C₂²×C₈₉	semidirect
788. #547	C₂²×C₈₉	semidirect
789. #546	C₂²×C₈₉	semidirect
790. #546	C₂²×C₈₉	semidirect
791. #546	C₂²×C₈₉	semidirect
792. #546	C₂²×C₈₉	semidirect
793. #546	C₂²×C₈₉	semidirect
794. #546	C₂²×C₈₉	semidirect
795. #546	C₂²×C₈₉	semidirect
796. D₄²	C₂²×C₈₉	semidirect
797. #544	C₂²×C₈₉	semidirect
798. #544	C₂²×C₈₉	semidirect
799. #544	C₂²×C₈₉	semidirect
800. #543	C₂²×C₈₉	semidirect
801. #543	C₂²×C₈₉	semidirect
802. #542	C₂²×C₈₉	semidirect
803. #542	C₂²×C₈₉	semidirect
804. #542	C₂²×C₈₉	semidirect
805. #542	C₂²×C₈₉	semidirect
806. #542	C₂²×C₈₉	semidirect
807. #540	C₂²×C₈₉	semidirect
808. #540	C₂²×C₈₉	semidirect
809. #540	C₂²×C₈₉	semidirect
810. #539	C₂²×C₈₉	semidirect
811. #539	C₂²×C₈₉	semidirect
812. #539	C₂²×C₈₉	semidirect
813. #539	C₂²×C₈₉	semidirect
814. #539	C₂²×C₈₉	semidirect
815. #539	C₂²×C₈₉	semidirect
816. #539	C₂²×C₈₉	semidirect
817. #539	C₂²×C₈₉	semidirect
818. #539	C₂²×C₈₉	semidirect
819. #538	C₂²×C₈₉	semidirect
820. #538	C₂²×C₈₉	semidirect
821. #538	C₂²×C₈₉	semidirect
822. #538	C₂²×C₈₉	semidirect
823. #538	C₂²×C₈₉	semidirect
824. #538	C₂²×C₈₉	semidirect
825. #537	C₂²×C₈₉	semidirect
826. #537	C₂²×C₈₉	semidirect
827. #537	C₂²×C₈₉	semidirect
828. #537	C₂²×C₈₉	semidirect
829. #536	C₂²×C₈₉	semidirect
830. #536	C₂²×C₈₉	semidirect
831. #535	C₂²×C₈₉	semidirect
832. #535	C₂²×C₈₉	semidirect
835. #534	C₂²×C₈₉	semidirect
836. #534	C₂²×C₈₉	semidirect
837. #534	C₂²×C₈₉	semidirect
838. #534	C₂²×C₈₉	semidirect
839. #532	C₂²×C₈₉	semidirect
840. #532	C₂²×C₈₉	semidirect
841. #532	C₂²×C₈₉	semidirect
842. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
843. #529	C₂²×C₈₉	semidirect
844. #529	C₂²×C₈₉	semidirect
845. #529	C₂²×C₈₉	semidirect
846. #529	C₂²×C₈₉	semidirect
847. #529	C₂²×C₈₉	semidirect
848. C₂×#126	C₂²×C₈₉	semidirect
849. C₂×#125	C₂²×C₈₉	semidirect
850. C₂×#125	C₂²×C₈₉	semidirect
851. #525	C₂²×C₈₉	semidirect
852. #525	C₂²×C₈₉	semidirect
853. #525	C₂²×C₈₉	semidirect
854. #525	C₂²×C₈₉	semidirect
855. #525	C₂²×C₈₉	semidirect
856. #525	C₂²×C₈₉	semidirect
858. C₂×#123	C₂²×C₈₉	semidirect
859. C₂×#123	C₂²×C₈₉	semidirect
860. C₂×#123	C₂²×C₈₉	semidirect
861. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
862. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
863. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
865. C₂×#121	C₂²×C₈₉	semidirect
866. C₂×#121	C₂²×C₈₉	semidirect
867. #520	C₂²×C₈₉	semidirect
868. #520	C₂²×C₈₉	semidirect
869. #518	C₂²×C₈₉	semidirect
870. #518	C₂²×C₈₉	semidirect
871. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
873. C₂×C₄×D₄	C₂²×C₈₉	semidirect
874. C₂×C₄×D₄	C₂²×C₈₉	semidirect
875. C₂×#117	C₂²×C₈₉	semidirect
876. C₂×#117	C₂²×C₈₉	semidirect
877. C₂²×C₄⋊C₄	C₂²×C₈₉	semidirect
878. 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×#3560	2
C₈₉×#3559	2
C₈₉×#3544	2
C₈₉×#3542	2
C₈₉×#3536	2
C₈₉×#3535	2
C₈₉×#3533	2
C₈₉×#3522	2
C₈₉×#3513	2
C₈₉×#3505	2
C₈₉×#3496	2
C₈₉×#3494	2
C₈₉×#3492	2
C₈₉×#3491	2
C₈₉×#3485	2
C₂×#552×C₈₉	2
C₂×#547×C₈₉	2
C₈₉×#3459	2
C₈₉×#3449	2
#62901	89

Subgroups — C89×#62901 #36440749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62901 #36440749