Subgroups — C₈₉×#62879 #36440727

Order 22784.

6398 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3565	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3565	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3564	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3561	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3557	C₂	1	4	yes	maximal, complemented
6	C₈₉×#3555	C₂	1	4	yes	maximal, complemented
7	C₈₉×#3554	C₂	1	4	yes	maximal, complemented
8	C₈₉×#3552	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3550	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3544	C₂	1	4	yes	maximal, complemented
11	C₈₉×#3538	C₂	1	4	yes	maximal, complemented
12	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
13	C₈₉×#3510	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3503	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3502	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3495	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3494	C₂	1	2	yes	maximal, complemented
21	C₈₉×#3458	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3455	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#542×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₈₉	C₂²	1	8	yes	complemented
25	#563×C₈₉	C₂²	1	8	yes	complemented
26	#563×C₈₉	C₂²	1	8	yes	complemented
27	#563×C₈₉	C₂²	1	8	yes	complemented
28	#563×C₈₉	C₂²	1	8	yes	complemented
29	#563×C₈₉	C₂²	1	8	yes	complemented
30	#562×C₈₉	C₂²	1	8	yes	complemented
31	#562×C₈₉	C₂²	1	8	yes	complemented
32	#559×C₈₉	C₂²	1	4	yes	complemented
33	#559×C₈₉	C₂²	1	2	yes	complemented
34	#559×C₈₉	C₂²	1	4	yes	complemented
35	#559×C₈₉	C₂²	1	4	yes	complemented
36	Q₈²×C₈₉	C₂²	1	2	yes	complemented
37	Q₈²×C₈₉	C₂²	1	2	yes	complemented
38	Q₈²×C₈₉	C₂²	1	4	yes	complemented
39	#557×C₈₉	C₂²	1	4	yes	complemented
40	#557×C₈₉	C₂²	1	4	yes	complemented
41	#557×C₈₉	C₂²	1	2	yes	complemented
42	#557×C₈₉	C₂²	1	2	yes	complemented
43	#557×C₈₉	C₂²	1	4	yes	complemented
44	#557×C₈₉	C₂²	1	2	yes	complemented
45	#556×C₈₉	C₂²	1	4	yes	complemented
46	#556×C₈₉	C₂²	1	2	yes	complemented
47	#556×C₈₉	C₂²	1	4	yes	complemented
48	#556×C₈₉	C₂²	1	2	yes	complemented
49	#556×C₈₉	C₂²	1	4	yes	complemented
50	#556×C₈₉	C₂²	1	4	yes	complemented
51	#556×C₈₉	C₂²	1	8	yes	complemented
52	#556×C₈₉	C₂²	1	8	yes	complemented
53	#555×C₈₉	C₂²	1	4	yes	—
54	#555×C₈₉	C₂²	1	2	yes	complemented
55	#554×C₈₉	C₂²	1	8	yes	—
56	#554×C₈₉	C₂²	1	4	yes	complemented
57	#554×C₈₉	C₂²	1	4	yes	complemented
58	#554×C₈₉	C₂²	1	4	yes	complemented
59	#554×C₈₉	C₂²	1	2	yes	complemented
60	#554×C₈₉	C₂²	1	2	yes	complemented
61	#554×C₈₉	C₂²	1	4	yes	complemented
62	#554×C₈₉	C₂²	1	2	yes	complemented
63	#553×C₈₉	C₂²	1	4	yes	—
64	#553×C₈₉	C₂²	1	4	yes	—
65	#553×C₈₉	C₂²	1	4	yes	complemented
66	#552×C₈₉	C₂²	1	8	yes	—
67	#552×C₈₉	C₂²	1	4	yes	complemented
68	#552×C₈₉	C₂²	1	4	yes	complemented
69	#552×C₈₉	C₂²	1	4	yes	complemented
70	#552×C₈₉	C₂²	1	8	yes	complemented
71	#552×C₈₉	C₂²	1	8	yes	complemented
72	#552×C₈₉	C₂²	1	8	yes	complemented
73	#551×C₈₉	C₂²	1	8	yes	—
74	#551×C₈₉	C₂²	1	8	yes	—
75	#551×C₈₉	C₂²	1	8	yes	—
76	#551×C₈₉	C₂²	1	8	yes	—
77	#550×C₈₉	C₂²	1	2	yes	complemented
78	D₄×Q₈×C₈₉	C₂²	1	8	yes	—
79	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
80	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
81	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
82	D₄×Q₈×C₈₉	C₂²	1	8	yes	complemented
83	#548×C₈₉	C₂²	1	8	yes	complemented
84	#547×C₈₉	C₂²	1	4	yes	—
85	#547×C₈₉	C₂²	1	2	yes	complemented
86	#547×C₈₉	C₂²	1	8	yes	complemented
87	#546×C₈₉	C₂²	1	8	yes	—
88	#544×C₈₉	C₂²	1	2	yes	—
89	#544×C₈₉	C₂²	1	2	yes	—
90	#544×C₈₉	C₂²	1	2	yes	—
91	#544×C₈₉	C₂²	1	2	yes	—
92	#544×C₈₉	C₂²	1	4	yes	—
93	#544×C₈₉	C₂²	1	2	yes	complemented
94	#544×C₈₉	C₂²	1	2	yes	complemented
95	#544×C₈₉	C₂²	1	2	yes	complemented
96	#544×C₈₉	C₂²	1	2	yes	complemented
97	#544×C₈₉	C₂²	1	4	yes	complemented
98	#544×C₈₉	C₂²	1	4	yes	complemented
99	#544×C₈₉	C₂²	1	8	yes	complemented
100	#543×C₈₉	C₂²	1	2	yes	—
101	#543×C₈₉	C₂²	1	2	yes	—
102	#543×C₈₉	C₂²	1	4	yes	—
103	#542×C₈₉	C₂²	1	4	yes	—
104	#542×C₈₉	C₂²	1	4	yes	—
105	#542×C₈₉	C₂²	1	4	yes	—
106	#542×C₈₉	C₂²	1	4	yes	—
107	#542×C₈₉	C₂²	1	4	yes	—
108	#542×C₈₉	C₂²	1	2	yes	complemented
109	#542×C₈₉	C₂²	1	2	yes	complemented
110	#542×C₈₉	C₂²	1	4	yes	complemented
111	#542×C₈₉	C₂²	1	4	yes	complemented
112	#542×C₈₉	C₂²	1	4	yes	complemented
113	#542×C₈₉	C₂²	1	8	yes	complemented
114	#542×C₈₉	C₂²	1	8	yes	complemented
115	#542×C₈₉	C₂²	1	8	yes	complemented
116	#542×C₈₉	C₂²	1	8	yes	complemented
117	#542×C₈₉	C₂²	1	8	yes	complemented
118	#541×C₈₉	C₂²	1	2	yes	complemented
119	#541×C₈₉	C₂²	1	4	yes	complemented
120	#541×C₈₉	C₂²	1	8	yes	complemented
121	#541×C₈₉	C₂²	1	8	yes	complemented
122	#541×C₈₉	C₂²	1	8	yes	complemented
123	#540×C₈₉	C₂²	1	4	yes	—
124	#540×C₈₉	C₂²	1	2	yes	complemented
125	#539×C₈₉	C₂²	1	2	yes	—
126	#539×C₈₉	C₂²	1	2	yes	—
127	#539×C₈₉	C₂²	1	4	yes	—
128	#539×C₈₉	C₂²	1	8	yes	complemented
129	#539×C₈₉	C₂²	1	8	yes	complemented
130	#539×C₈₉	C₂²	1	8	yes	complemented
131	#539×C₈₉	C₂²	1	8	yes	complemented
132	#538×C₈₉	C₂²	1	2	yes	—
133	#538×C₈₉	C₂²	1	2	yes	—
134	#538×C₈₉	C₂²	1	4	yes	—
135	#536×C₈₉	C₂²	1	2	yes	—
136	#536×C₈₉	C₂²	1	8	yes	complemented
137	#536×C₈₉	C₂²	1	8	yes	complemented
138	#536×C₈₉	C₂²	1	8	yes	complemented
139	#535×C₈₉	C₂²	1	2	yes	—
140	#533×C₈₉	C₂²	1	1	yes	characteristic
141	#533×C₈₉	C₂²	1	1	yes	characteristic
142	#533×C₈₉	C₂²	1	1	yes	characteristic
143	#533×C₈₉	C₂²	1	2	yes	—
144	#533×C₈₉	C₂²	1	4	yes	—
145	#533×C₈₉	C₂²	1	4	yes	complemented
146	#533×C₈₉	C₂²	1	4	yes	complemented
147	#533×C₈₉	C₂²	1	4	yes	complemented
148	#533×C₈₉	C₂²	1	4	yes	complemented
149	#532×C₈₉	C₂²	1	1	yes	characteristic
150	#532×C₈₉	C₂²	1	4	yes	—
151	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
152	C₂×C₄⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
153	#529×C₈₉	C₂²	1	4	yes	—
154	#529×C₈₉	C₂²	1	4	yes	—
155	#529×C₈₉	C₂²	1	4	yes	complemented
156	#529×C₈₉	C₂²	1	4	yes	complemented
157	#529×C₈₉	C₂²	1	4	yes	complemented
158	#529×C₈₉	C₂²	1	4	yes	complemented
159	#529×C₈₉	C₂²	1	4	yes	complemented
160	C₂×#126×C₈₉	C₂²	1	2	yes	—
161	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
162	C₂×#124×C₈₉	C₂²	1	2	yes	—
163	#525×C₈₉	C₂²	1	2	yes	—
164	#525×C₈₉	C₂²	1	4	yes	—
165	C₂×#123×C₈₉	C₂²	1	2	yes	—
166	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
167	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	—
168	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	—
169	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
170	#520×C₈₉	C₂²	1	2	yes	—
171	#520×C₈₉	C₂²	1	2	yes	—
172	#519×C₈₉	C₂²	1	2	yes	—
173	#518×C₈₉	C₂²	1	2	yes	—
174	C₄×#41×C₈₉	C₂²	1	2	yes	—
175	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
177	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
178	C₂×#117×C₈₉	C₂²	1	2	yes	—
179	C₂×#41×C₈₉	C₂³	1	2	yes	—
180	C₂×#41×C₈₉	C₂³	1	4	yes	—
181	C₂×#41×C₈₉	C₂³	1	8	yes	—
182	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
183	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
184	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
185	C₂²×Q₈×C₈₉	C₂³	1	8	yes	—
186	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
187	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
188	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
190	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
191	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
192	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
193	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
194	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
195	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
196	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
197	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
198	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
199	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
200	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
201	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
202	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
203	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
204	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
205	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
206	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
207	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
208	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
209	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
210	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
211	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
212	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
213	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
214	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
215	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
216	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
217	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
218	#127×C₈₉	C₂³	1	4	yes	—
219	#127×C₈₉	C₂³	1	1	yes	characteristic
220	#126×C₈₉	C₂³	1	8	yes	—
221	#126×C₈₉	C₂³	1	8	yes	—
222	#126×C₈₉	C₂³	1	8	yes	—
223	#126×C₈₉	C₂³	1	8	yes	—
224	#126×C₈₉	C₂³	1	4	yes	—
225	#126×C₈₉	C₂³	1	4	yes	—
226	#126×C₈₉	C₂³	1	4	yes	—
227	#126×C₈₉	C₂³	1	4	yes	—
228	#126×C₈₉	C₂³	1	8	yes	—
229	#126×C₈₉	C₂³	1	8	yes	—
230	#126×C₈₉	C₂³	1	8	yes	—
231	#126×C₈₉	C₂³	1	8	yes	—
232	#126×C₈₉	C₂³	1	8	yes	—
233	#126×C₈₉	C₂³	1	8	yes	—
234	#126×C₈₉	C₂³	1	8	yes	—
235	#126×C₈₉	C₂³	1	8	yes	—
236	#126×C₈₉	C₂³	1	8	yes	—
237	#126×C₈₉	C₂³	1	8	yes	—
238	#126×C₈₉	C₂³	1	8	yes	—
239	#125×C₈₉	C₂³	1	4	yes	—
240	#125×C₈₉	C₂³	1	4	yes	—
241	#125×C₈₉	C₂³	1	2	yes	—
242	#125×C₈₉	C₂³	1	2	yes	—
243	#125×C₈₉	C₂³	1	4	yes	—
244	#125×C₈₉	C₂³	1	4	yes	—
245	#125×C₈₉	C₂³	1	4	yes	—
246	#125×C₈₉	C₂³	1	8	yes	—
247	#125×C₈₉	C₂³	1	2	yes	—
248	#125×C₈₉	C₂³	1	2	yes	—
249	#125×C₈₉	C₂³	1	2	yes	—
250	#125×C₈₉	C₂³	1	4	yes	—
251	#125×C₈₉	C₂³	1	4	yes	—
252	#125×C₈₉	C₂³	1	8	yes	—
253	#125×C₈₉	C₂³	1	4	yes	—
254	#125×C₈₉	C₂³	1	4	yes	—
255	#125×C₈₉	C₂³	1	4	yes	—
256	#125×C₈₉	C₂³	1	4	yes	—
257	#125×C₈₉	C₂³	1	8	yes	—
258	#125×C₈₉	C₂³	1	8	yes	—
259	#125×C₈₉	C₂³	1	8	yes	—
260	#125×C₈₉	C₂³	1	8	yes	—
261	#125×C₈₉	C₂³	1	8	yes	—
262	#125×C₈₉	C₂³	1	8	yes	—
263	#125×C₈₉	C₂³	1	8	yes	—
264	#124×C₈₉	C₂³	1	4	yes	—
265	#124×C₈₉	C₂³	1	8	yes	—
266	#124×C₈₉	C₂³	1	8	yes	—
267	#124×C₈₉	C₂³	1	4	yes	—
268	#124×C₈₉	C₂³	1	4	yes	—
269	#124×C₈₉	C₂³	1	4	yes	—
270	#124×C₈₉	C₂³	1	4	yes	—
271	#124×C₈₉	C₂³	1	4	yes	—
272	#124×C₈₉	C₂³	1	4	yes	—
273	#124×C₈₉	C₂³	1	8	yes	—
274	#124×C₈₉	C₂³	1	2	yes	—
275	#124×C₈₉	C₂³	1	8	yes	—
276	#124×C₈₉	C₂³	1	8	yes	—
277	#124×C₈₉	C₂³	1	8	yes	—
278	#124×C₈₉	C₂³	1	8	yes	—
279	#124×C₈₉	C₂³	1	8	yes	—
280	#123×C₈₉	C₂³	1	8	yes	—
281	#123×C₈₉	C₂³	1	8	yes	—
282	#123×C₈₉	C₂³	1	8	yes	—
283	#123×C₈₉	C₂³	1	4	yes	—
284	#123×C₈₉	C₂³	1	8	yes	—
285	#123×C₈₉	C₂³	1	8	yes	—
286	#123×C₈₉	C₂³	1	4	yes	—
287	#123×C₈₉	C₂³	1	4	yes	—
288	#123×C₈₉	C₂³	1	8	yes	—
289	#123×C₈₉	C₂³	1	4	yes	—
290	#123×C₈₉	C₂³	1	4	yes	—
291	#123×C₈₉	C₂³	1	8	yes	—
292	#123×C₈₉	C₂³	1	8	yes	—
293	#123×C₈₉	C₂³	1	8	yes	—
294	#123×C₈₉	C₂³	1	8	yes	—
295	#123×C₈₉	C₂³	1	8	yes	—
296	#123×C₈₉	C₂³	1	8	yes	—
297	#123×C₈₉	C₂³	1	8	yes	—
298	#123×C₈₉	C₂³	1	8	yes	—
299	#123×C₈₉	C₂³	1	8	yes	—
300	#123×C₈₉	C₂³	1	8	yes	—
301	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
302	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
303	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
304	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
305	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
306	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
307	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
308	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
309	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
311	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
312	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
313	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
314	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
315	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
316	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
317	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
318	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
319	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
320	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
321	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
322	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
323	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
324	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
325	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
326	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
327	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
328	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
329	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
330	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
331	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
332	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
333	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
334	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
335	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
336	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
337	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
338	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
339	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
340	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
341	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
342	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
343	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
344	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
345	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
346	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
347	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
348	C₂²⋊Q₈×C₈₉	C₂³	1	8	yes	—
349	#121×C₈₉	C₂³	1	4	yes	—
350	#121×C₈₉	C₂³	1	4	yes	—
351	#121×C₈₉	C₂³	1	2	yes	—
352	#121×C₈₉	C₂³	1	2	yes	—
353	#121×C₈₉	C₂³	1	2	yes	—
354	#121×C₈₉	C₂³	1	4	yes	—
355	#121×C₈₉	C₂³	1	2	yes	—
356	#121×C₈₉	C₂³	1	4	yes	—
357	#121×C₈₉	C₂³	1	4	yes	—
358	#121×C₈₉	C₂³	1	4	yes	—
359	#121×C₈₉	C₂³	1	4	yes	—
360	#121×C₈₉	C₂³	1	8	yes	—
361	#121×C₈₉	C₂³	1	8	yes	—
362	#121×C₈₉	C₂³	1	8	yes	—
363	#121×C₈₉	C₂³	1	8	yes	—
364	#120×C₈₉	C₂³	1	8	yes	—
365	#120×C₈₉	C₂³	1	4	yes	—
366	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
367	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
368	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
369	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
370	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
371	C₄×Q₈×C₈₉	C₂³	1	2	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	4	yes	—
377	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
378	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
379	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
380	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
381	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
382	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
383	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
384	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
385	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
386	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
387	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
388	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
389	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
390	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
391	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
392	C₄×Q₈×C₈₉	C₂³	1	8	yes	—
393	C₄×D₄×C₈₉	C₂³	1	2	yes	—
394	C₄×D₄×C₈₉	C₂³	1	2	yes	—
395	C₄×D₄×C₈₉	C₂³	1	2	yes	—
396	C₄×D₄×C₈₉	C₂³	1	2	yes	—
397	C₄×D₄×C₈₉	C₂³	1	4	yes	—
398	C₄×D₄×C₈₉	C₂³	1	4	yes	—
399	C₄×D₄×C₈₉	C₂³	1	2	yes	—
400	C₄×D₄×C₈₉	C₂³	1	2	yes	—
401	C₄×D₄×C₈₉	C₂³	1	4	yes	—
402	C₄×D₄×C₈₉	C₂³	1	4	yes	—
403	C₄×D₄×C₈₉	C₂³	1	4	yes	—
404	C₄×D₄×C₈₉	C₂³	1	4	yes	—
405	C₄×D₄×C₈₉	C₂³	1	8	yes	—
406	C₄×D₄×C₈₉	C₂³	1	8	yes	—
407	C₄×D₄×C₈₉	C₂³	1	4	yes	—
408	C₄×D₄×C₈₉	C₂³	1	4	yes	—
409	C₄×D₄×C₈₉	C₂³	1	4	yes	—
410	C₄×D₄×C₈₉	C₂³	1	4	yes	—
411	C₄×D₄×C₈₉	C₂³	1	8	yes	—
412	C₄×D₄×C₈₉	C₂³	1	4	yes	—
413	C₄×D₄×C₈₉	C₂³	1	8	yes	—
414	C₄×D₄×C₈₉	C₂³	1	2	yes	—
415	C₄×D₄×C₈₉	C₂³	1	2	yes	—
416	C₄×D₄×C₈₉	C₂³	1	8	yes	—
417	C₄×D₄×C₈₉	C₂³	1	8	yes	—
418	C₄×D₄×C₈₉	C₂³	1	8	yes	—
419	C₄×D₄×C₈₉	C₂³	1	8	yes	—
420	#117×C₈₉	C₂³	1	2	yes	—
421	#117×C₈₉	C₂³	1	2	yes	—
422	#117×C₈₉	C₂³	1	2	yes	—
423	#117×C₈₉	C₂³	1	2	yes	—
424	#117×C₈₉	C₂³	1	4	yes	—
425	#117×C₈₉	C₂³	1	2	yes	—
426	#117×C₈₉	C₂³	1	2	yes	—
427	#117×C₈₉	C₂³	1	4	yes	—
428	#117×C₈₉	C₂³	1	2	yes	—
429	#117×C₈₉	C₂³	1	2	yes	—
430	#117×C₈₉	C₂³	1	2	yes	—
431	#117×C₈₉	C₂³	1	4	yes	—
432	#117×C₈₉	C₂³	1	8	yes	—
433	#117×C₈₉	C₂³	1	4	yes	—
434	#117×C₈₉	C₂³	1	4	yes	—
435	#117×C₈₉	C₂³	1	4	yes	—
436	#117×C₈₉	C₂³	1	8	yes	—
437	#117×C₈₉	C₂³	1	8	yes	—
438	#117×C₈₉	C₂³	1	8	yes	—
439	#117×C₈₉	C₂³	1	8	yes	—
440	#117×C₈₉	C₂³	1	8	yes	—
441	#117×C₈₉	C₂³	1	8	yes	—
442	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
443	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
444	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
445	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
446	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
447	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
448	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
449	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
450	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
451	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
452	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
453	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
454	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄×C₈₉	C₂³	1	8	yes	—
456	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
457	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
459	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
460	C₂×C₂²⋊C₄×C₈₉	C₂³	1	8	yes	—
461	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
462	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
463	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
464	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
465	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
466	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
467	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
468	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
469	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
470	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
472	#41×C₈₉	—	2	8	no	—
473	#41×C₈₉	—	8	4	no	—
474	#41×C₈₉	—	8	8	no	—
475	C₂×Q₈×C₈₉	—	2	4	no	—
476	C₂×Q₈×C₈₉	—	8	2	no	—
477	C₂×Q₈×C₈₉	—	8	4	no	—
478	C₂×Q₈×C₈₉	—	8	8	no	—
479	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
480	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
481	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
482	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
483	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
484	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
485	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
486	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
487	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
488	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
489	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
490	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
491	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
492	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
493	C₂×D₄×C₈₉	—	2	4	no	—
494	C₂×D₄×C₈₉	—	8	2	no	—
495	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
496	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
497	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
498	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
499	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
500	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
501	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
502	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
503	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
504	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
505	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₈₉	—	2	4	no	—
507	C₂²×C₄×C₈₉	—	8	2	no	—
508	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
509	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
521	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
522	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
523	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
524	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
525	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
526	C₂²×C₄×C₈₉	C₂⁴	1	8	yes	—
527	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
528	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
529	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
530	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
531	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
532	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
533	C₄⋊C₄×C₈₉	C₂⁴	1	2	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	2	yes	—
538	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
539	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
540	C₄⋊C₄×C₈₉	C₂⁴	1	4	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	2	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	8	yes	—
550	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
551	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
552	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
553	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
554	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
555	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
556	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
557	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
558	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
559	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
560	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
561	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
562	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
563	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
564	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
565	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
566	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
567	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
568	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
572	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
573	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
574	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
575	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
576	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
577	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
578	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
579	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
580	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
581	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
583	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
584	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
586	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
587	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
588	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
589	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
590	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
591	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
592	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
593	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
594	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
595	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
596	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
597	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
598	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
599	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
600	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
601	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
602	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
604	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
605	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
606	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
607	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
608	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
609	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
610	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
611	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
612	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
613	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₈₉	C₂⁴	1	8	yes	—
617	C₄²×C₈₉	C₂⁴	1	2	yes	—
618	C₄²×C₈₉	C₂⁴	1	4	yes	—
619	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
620	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
621	C₄²×C₈₉	C₂⁴	1	4	yes	—
622	C₄²×C₈₉	C₂⁴	1	4	yes	—
623	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
624	C₄²×C₈₉	C₂⁴	1	2	yes	—
625	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
626	C₄²×C₈₉	C₂⁴	1	4	yes	—
627	C₄²×C₈₉	C₂⁴	1	4	yes	—
628	C₄²×C₈₉	C₂⁴	1	4	yes	—
629	C₄²×C₈₉	C₂⁴	1	4	yes	—
630	C₄²×C₈₉	C₂⁴	1	4	yes	—
631	C₄²×C₈₉	C₂⁴	1	4	yes	—
632	C₄²×C₈₉	C₂⁴	1	8	yes	—
633	C₄²×C₈₉	C₂⁴	1	8	yes	—
634	C₄²×C₈₉	C₂⁴	1	8	yes	—
635	C₄²×C₈₉	C₂⁴	1	8	yes	—
636	C₂³×C₈₉	—	2	2	no	—
637	C₂³×C₈₉	—	2	4	no	—
638	C₂³×C₈₉	—	4	2	no	—
639	C₂³×C₈₉	—	4	1	no	—
640	C₂³×C₈₉	—	4	1	no	—
641	C₂³×C₈₉	—	4	2	no	—
642	C₂³×C₈₉	C₂⁵	1	2	yes	—
643	C₂³×C₈₉	C₂⁵	1	4	yes	—
644	C₂³×C₈₉	C₂⁵	1	4	yes	—
645	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
646	Q₈×C₈₉	—	2	4	no	—
647	Q₈×C₈₉	—	2	4	no	—
648	Q₈×C₈₉	—	2	4	no	—
649	Q₈×C₈₉	—	4	2	no	—
650	Q₈×C₈₉	—	4	8	no	—
651	Q₈×C₈₉	—	4	8	no	—
652	Q₈×C₈₉	—	4	4	no	—
653	Q₈×C₈₉	—	4	2	no	—
654	Q₈×C₈₉	—	4	8	no	—
655	Q₈×C₈₉	—	4	2	no	—
656	Q₈×C₈₉	—	4	2	no	—
657	Q₈×C₈₉	—	4	4	no	—
658	Q₈×C₈₉	—	4	2	no	—
659	Q₈×C₈₉	—	4	2	no	—
660	D₄×C₈₉	—	2	8	no	—
661	D₄×C₈₉	—	2	4	no	—
662	D₄×C₈₉	—	2	4	no	—
663	D₄×C₈₉	—	2	4	no	—
664	D₄×C₈₉	—	4	8	no	—
665	D₄×C₈₉	—	4	4	no	—
666	D₄×C₈₉	—	4	8	no	—
667	D₄×C₈₉	—	4	2	no	—
668	D₄×C₈₉	—	4	2	no	—
669	D₄×C₈₉	—	4	8	no	—
670	D₄×C₈₉	—	4	4	no	—
671	C₂×C₄×C₈₉	—	2	2	no	—
672	C₂×C₄×C₈₉	—	2	4	no	—
673	C₂×C₄×C₈₉	—	2	4	no	—
674	C₂×C₄×C₈₉	—	2	4	no	—
675	C₂×C₄×C₈₉	—	2	8	no	—
676	C₂×C₄×C₈₉	—	4	1	no	—
677	C₂×C₄×C₈₉	—	4	2	no	—
678	C₂×C₄×C₈₉	—	4	4	no	—
679	C₂×C₄×C₈₉	—	4	4	no	—
680	C₂×C₄×C₈₉	—	4	8	no	—
681	C₂×C₄×C₈₉	—	4	4	no	—
682	C₂×C₄×C₈₉	—	4	1	no	—
683	C₂×C₄×C₈₉	—	4	4	no	—
684	C₂×C₄×C₈₉	—	4	1	no	—
685	C₂×C₄×C₈₉	—	4	2	no	—
686	C₂×C₄×C₈₉	—	4	4	no	—
687	C₂×C₄×C₈₉	—	4	1	no	—
688	C₂×C₄×C₈₉	—	4	8	no	—
689	C₂×C₄×C₈₉	—	4	8	no	—
690	C₂×C₄×C₈₉	—	4	8	no	—
691	C₂×C₄×C₈₉	—	4	4	no	—
692	C₂×C₄×C₈₉	2₋¹⁺⁴	1	4	yes	—
693	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
694	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
695	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
696	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
697	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
698	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
699	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
700	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
701	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
702	C₂×C₄×C₈₉	C₂⁵	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	1	yes	characteristic
707	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
708	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
709	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
710	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
711	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
712	C₂²×C₈₉	—	2	1	no	—
713	C₂²×C₈₉	—	2	1	no	—
714	C₂²×C₈₉	—	2	2	no	—
715	C₂²×C₈₉	—	2	4	no	—
716	C₂²×C₈₉	—	2	4	no	—
717	C₂²×C₈₉	—	2	4	no	—
718	C₂²×C₈₉	—	2	4	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	—	8	2	no	—
724	C₂²×C₈₉	—	8	4	no	—
725	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
726	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
727	C₄×C₈₉	—	2	2	no	—
728	C₄×C₈₉	—	2	4	no	—
729	C₄×C₈₉	—	2	4	no	—
730	C₄×C₈₉	—	2	1	no	—
731	C₄×C₈₉	—	2	1	no	—
732	C₄×C₈₉	—	2	4	no	—
733	C₄×C₈₉	—	2	4	no	—
734	C₄×C₈₉	—	2	4	no	—
735	C₄×C₈₉	—	2	4	no	—
736	C₄×C₈₉	—	2	4	no	—
737	C₄×C₈₉	—	2	2	no	—
738	C₄×C₈₉	—	2	4	no	—
739	C₄×C₈₉	—	2	4	no	—
740	C₄×C₈₉	—	2	2	no	—
741	C₄×C₈₉	—	2	4	no	—
742	C₄×C₈₉	—	2	1	no	—
743	C₄×C₈₉	—	2	1	no	—
744	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
745	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
746	#62879	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
747	C₂×C₈₉	—	2	2	no	—
748	C₂×C₈₉	—	4	4	no	—
749	C₂×C₈₉	—	4	2	no	—
750	C₂×C₈₉	—	4	4	no	—
751	C₂×C₈₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
752	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
753	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
754	#3565	C₂×C₈₉	1	4	yes	complemented
755	#3565	C₂×C₈₉	1	4	yes	complemented
756	#3564	C₂×C₈₉	1	4	yes	complemented
757	#3561	C₂×C₈₉	1	4	yes	complemented
758	#3557	C₂×C₈₉	1	4	yes	complemented
759	#3555	C₂×C₈₉	1	4	yes	complemented
760	#3554	C₂×C₈₉	1	4	yes	complemented
761	#3552	C₂×C₈₉	1	4	yes	complemented
762	#3550	C₂×C₈₉	1	4	yes	complemented
763	#3544	C₂×C₈₉	1	4	yes	complemented
764	#3538	C₂×C₈₉	1	4	yes	complemented
765	#3535	C₂×C₈₉	1	4	yes	complemented
766	#3510	C₂×C₈₉	1	2	yes	complemented
767	#3507	C₂×C₈₉	1	1	yes	characteristic, complemented
768	#3506	C₂×C₈₉	1	1	yes	characteristic, complemented
769	#3503	C₂×C₈₉	1	2	yes	complemented
770	#3502	C₂×C₈₉	1	1	yes	characteristic, complemented
771	#3501	C₂×C₈₉	1	1	yes	characteristic, complemented
772	#3495	C₂×C₈₉	1	2	yes	complemented
773	#3494	C₂×C₈₉	1	2	yes	complemented
774	#3458	C₂×C₈₉	1	1	yes	characteristic, complemented
775	#3455	C₂×C₈₉	1	1	yes	characteristic, complemented
776	C₂×#542	C₂×C₈₉	1	1	yes	characteristic, complemented
777	C₈₉	#62879	1	1	yes	characteristic, direct product factor, Sylow
778	#563	C₂²×C₈₉	1	8	yes	complemented
779	#563	C₂²×C₈₉	1	8	yes	complemented
780	#563	C₂²×C₈₉	1	8	yes	complemented
781	#563	C₂²×C₈₉	1	8	yes	complemented
782	#563	C₂²×C₈₉	1	8	yes	complemented
783	#563	C₂²×C₈₉	1	8	yes	complemented
784	#562	C₂²×C₈₉	1	8	yes	complemented
785	#562	C₂²×C₈₉	1	8	yes	complemented
786	#559	C₂²×C₈₉	1	4	yes	complemented
787	#559	C₂²×C₈₉	1	2	yes	complemented
788	#559	C₂²×C₈₉	1	4	yes	complemented
789	#559	C₂²×C₈₉	1	4	yes	complemented
790	Q₈²	C₂²×C₈₉	1	2	yes	complemented
791	Q₈²	C₂²×C₈₉	1	2	yes	complemented
792	Q₈²	C₂²×C₈₉	1	4	yes	complemented
793	#557	C₂²×C₈₉	1	4	yes	complemented
794	#557	C₂²×C₈₉	1	4	yes	complemented
795	#557	C₂²×C₈₉	1	2	yes	complemented
796	#557	C₂²×C₈₉	1	2	yes	complemented
797	#557	C₂²×C₈₉	1	4	yes	complemented
798	#557	C₂²×C₈₉	1	2	yes	complemented
799	#556	C₂²×C₈₉	1	4	yes	complemented
800	#556	C₂²×C₈₉	1	2	yes	complemented
801	#556	C₂²×C₈₉	1	4	yes	complemented
802	#556	C₂²×C₈₉	1	2	yes	complemented
803	#556	C₂²×C₈₉	1	4	yes	complemented
804	#556	C₂²×C₈₉	1	4	yes	complemented
805	#556	C₂²×C₈₉	1	8	yes	complemented
806	#556	C₂²×C₈₉	1	8	yes	complemented
807	#555	C₂²×C₈₉	1	4	yes	—
808	#555	C₂²×C₈₉	1	2	yes	complemented
809	#554	C₂²×C₈₉	1	8	yes	—
810	#554	C₂²×C₈₉	1	4	yes	complemented
811	#554	C₂²×C₈₉	1	4	yes	complemented
812	#554	C₂²×C₈₉	1	4	yes	complemented
813	#554	C₂²×C₈₉	1	2	yes	complemented
814	#554	C₂²×C₈₉	1	2	yes	complemented
815	#554	C₂²×C₈₉	1	4	yes	complemented
816	#554	C₂²×C₈₉	1	2	yes	complemented
817	#553	C₂²×C₈₉	1	4	yes	—
818	#553	C₂²×C₈₉	1	4	yes	—
819	#553	C₂²×C₈₉	1	4	yes	complemented
820	#552	C₂²×C₈₉	1	8	yes	—
821	#552	C₂²×C₈₉	1	4	yes	complemented
822	#552	C₂²×C₈₉	1	4	yes	complemented
823	#552	C₂²×C₈₉	1	4	yes	complemented
824	#552	C₂²×C₈₉	1	8	yes	complemented
825	#552	C₂²×C₈₉	1	8	yes	complemented
826	#552	C₂²×C₈₉	1	8	yes	complemented
827	#551	C₂²×C₈₉	1	8	yes	—
828	#551	C₂²×C₈₉	1	8	yes	—
829	#551	C₂²×C₈₉	1	8	yes	—
830	#551	C₂²×C₈₉	1	8	yes	—
831	#550	C₂²×C₈₉	1	2	yes	complemented
832	D₄×Q₈	C₂²×C₈₉	1	8	yes	—
833	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
834	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
835	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
836	D₄×Q₈	C₂²×C₈₉	1	8	yes	complemented
837	#548	C₂²×C₈₉	1	8	yes	complemented
838	#547	C₂²×C₈₉	1	4	yes	—
839	#547	C₂²×C₈₉	1	2	yes	complemented
840	#547	C₂²×C₈₉	1	8	yes	complemented
841	#546	C₂²×C₈₉	1	8	yes	—
842	#544	C₂²×C₈₉	1	2	yes	—
843	#544	C₂²×C₈₉	1	2	yes	—
844	#544	C₂²×C₈₉	1	2	yes	—
845	#544	C₂²×C₈₉	1	2	yes	—
846	#544	C₂²×C₈₉	1	4	yes	—
847	#544	C₂²×C₈₉	1	2	yes	complemented
848	#544	C₂²×C₈₉	1	2	yes	complemented
849	#544	C₂²×C₈₉	1	2	yes	complemented
850	#544	C₂²×C₈₉	1	2	yes	complemented
851	#544	C₂²×C₈₉	1	4	yes	complemented
852	#544	C₂²×C₈₉	1	4	yes	complemented
853	#544	C₂²×C₈₉	1	8	yes	complemented
854	#543	C₂²×C₈₉	1	2	yes	—
855	#543	C₂²×C₈₉	1	2	yes	—
856	#543	C₂²×C₈₉	1	4	yes	—
857	#542	C₂²×C₈₉	1	4	yes	—
858	#542	C₂²×C₈₉	1	4	yes	—
859	#542	C₂²×C₈₉	1	4	yes	—
860	#542	C₂²×C₈₉	1	4	yes	—
861	#542	C₂²×C₈₉	1	4	yes	—
862	#542	C₂²×C₈₉	1	2	yes	complemented
863	#542	C₂²×C₈₉	1	2	yes	complemented
864	#542	C₂²×C₈₉	1	4	yes	complemented
865	#542	C₂²×C₈₉	1	4	yes	complemented
866	#542	C₂²×C₈₉	1	4	yes	complemented
867	#542	C₂²×C₈₉	1	8	yes	complemented
868	#542	C₂²×C₈₉	1	8	yes	complemented
869	#542	C₂²×C₈₉	1	8	yes	complemented
870	#542	C₂²×C₈₉	1	8	yes	complemented
871	#542	C₂²×C₈₉	1	8	yes	complemented
872	#541	C₂²×C₈₉	1	2	yes	complemented
873	#541	C₂²×C₈₉	1	4	yes	complemented
874	#541	C₂²×C₈₉	1	8	yes	complemented
875	#541	C₂²×C₈₉	1	8	yes	complemented
876	#541	C₂²×C₈₉	1	8	yes	complemented
877	#540	C₂²×C₈₉	1	4	yes	—
878	#540	C₂²×C₈₉	1	2	yes	complemented
879	#539	C₂²×C₈₉	1	2	yes	—
880	#539	C₂²×C₈₉	1	2	yes	—
881	#539	C₂²×C₈₉	1	4	yes	—
882	#539	C₂²×C₈₉	1	8	yes	complemented
883	#539	C₂²×C₈₉	1	8	yes	complemented
884	#539	C₂²×C₈₉	1	8	yes	complemented
885	#539	C₂²×C₈₉	1	8	yes	complemented
886	#538	C₂²×C₈₉	1	2	yes	—
887	#538	C₂²×C₈₉	1	2	yes	—
888	#538	C₂²×C₈₉	1	4	yes	—
889	#536	C₂²×C₈₉	1	2	yes	—
890	#536	C₂²×C₈₉	1	8	yes	complemented
891	#536	C₂²×C₈₉	1	8	yes	complemented
892	#536	C₂²×C₈₉	1	8	yes	complemented
893	#535	C₂²×C₈₉	1	2	yes	—
894	#533	C₂²×C₈₉	1	1	yes	characteristic
895	#533	C₂²×C₈₉	1	1	yes	characteristic
896	#533	C₂²×C₈₉	1	1	yes	characteristic
897	#533	C₂²×C₈₉	1	2	yes	—
898	#533	C₂²×C₈₉	1	4	yes	—
899	#533	C₂²×C₈₉	1	4	yes	complemented
900	#533	C₂²×C₈₉	1	4	yes	complemented
901	#533	C₂²×C₈₉	1	4	yes	complemented
902	#533	C₂²×C₈₉	1	4	yes	complemented
903	#532	C₂²×C₈₉	1	1	yes	characteristic
904	#532	C₂²×C₈₉	1	4	yes	—
905	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
906	C₂×C₄⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
907	#529	C₂²×C₈₉	1	4	yes	—
908	#529	C₂²×C₈₉	1	4	yes	—
909	#529	C₂²×C₈₉	1	4	yes	complemented
910	#529	C₂²×C₈₉	1	4	yes	complemented
911	#529	C₂²×C₈₉	1	4	yes	complemented
912	#529	C₂²×C₈₉	1	4	yes	complemented
913	#529	C₂²×C₈₉	1	4	yes	complemented
914	C₂×#126	C₂²×C₈₉	1	2	yes	—
915	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
916	C₂×#124	C₂²×C₈₉	1	2	yes	—
917	#525	C₂²×C₈₉	1	2	yes	—
918	#525	C₂²×C₈₉	1	4	yes	—
919	C₂×#123	C₂²×C₈₉	1	2	yes	—
920	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
921	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	—
922	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	—
923	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
924	#520	C₂²×C₈₉	1	2	yes	—
925	#520	C₂²×C₈₉	1	2	yes	—
926	#519	C₂²×C₈₉	1	2	yes	—
927	#518	C₂²×C₈₉	1	2	yes	—
928	C₄×#41	C₂²×C₈₉	1	2	yes	—
929	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
930	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic
931	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic
932	C₂×#117	C₂²×C₈₉	1	2	yes	—
933	C₂×#41	C₂³×C₈₉	1	2	yes	—
934	C₂×#41	C₂³×C₈₉	1	4	yes	—
935	C₂×#41	C₂³×C₈₉	1	8	yes	—
936	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
937	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
938	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
939	C₂²×Q₈	C₂³×C₈₉	1	8	yes	—
940	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
941	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
942	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
943	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
944	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
945	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
946	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
947	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
948	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
949	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
950	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
951	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
952	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
953	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
954	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
955	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
956	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
957	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
958	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
959	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
960	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
961	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
962	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
963	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
964	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
965	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
966	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
967	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
968	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
969	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
970	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
971	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
972	#127	C₂³×C₈₉	1	4	yes	—
973	#127	C₂³×C₈₉	1	1	yes	characteristic
974	#126	C₂³×C₈₉	1	8	yes	—
975	#126	C₂³×C₈₉	1	8	yes	—
976	#126	C₂³×C₈₉	1	8	yes	—
977	#126	C₂³×C₈₉	1	8	yes	—
978	#126	C₂³×C₈₉	1	4	yes	—
979	#126	C₂³×C₈₉	1	4	yes	—
980	#126	C₂³×C₈₉	1	4	yes	—
981	#126	C₂³×C₈₉	1	4	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	#126	C₂³×C₈₉	1	8	yes	—
991	#126	C₂³×C₈₉	1	8	yes	—
992	#126	C₂³×C₈₉	1	8	yes	—
993	#125	C₂³×C₈₉	1	4	yes	—
994	#125	C₂³×C₈₉	1	4	yes	—
995	#125	C₂³×C₈₉	1	2	yes	—
996	#125	C₂³×C₈₉	1	2	yes	—
997	#125	C₂³×C₈₉	1	4	yes	—
998	#125	C₂³×C₈₉	1	4	yes	—
999	#125	C₂³×C₈₉	1	4	yes	—
1000	#125	C₂³×C₈₉	1	8	yes	—
1001	#125	C₂³×C₈₉	1	2	yes	—
1002	#125	C₂³×C₈₉	1	2	yes	—
1003	#125	C₂³×C₈₉	1	2	yes	—
1004	#125	C₂³×C₈₉	1	4	yes	—
1005	#125	C₂³×C₈₉	1	4	yes	—
1006	#125	C₂³×C₈₉	1	8	yes	—
1007	#125	C₂³×C₈₉	1	4	yes	—
1008	#125	C₂³×C₈₉	1	4	yes	—
1009	#125	C₂³×C₈₉	1	4	yes	—
1010	#125	C₂³×C₈₉	1	4	yes	—
1011	#125	C₂³×C₈₉	1	8	yes	—
1012	#125	C₂³×C₈₉	1	8	yes	—
1013	#125	C₂³×C₈₉	1	8	yes	—
1014	#125	C₂³×C₈₉	1	8	yes	—
1015	#125	C₂³×C₈₉	1	8	yes	—
1016	#125	C₂³×C₈₉	1	8	yes	—
1017	#125	C₂³×C₈₉	1	8	yes	—
1018	#124	C₂³×C₈₉	1	4	yes	—
1019	#124	C₂³×C₈₉	1	8	yes	—
1020	#124	C₂³×C₈₉	1	8	yes	—
1021	#124	C₂³×C₈₉	1	4	yes	—
1022	#124	C₂³×C₈₉	1	4	yes	—
1023	#124	C₂³×C₈₉	1	4	yes	—
1024	#124	C₂³×C₈₉	1	4	yes	—
1025	#124	C₂³×C₈₉	1	4	yes	—
1026	#124	C₂³×C₈₉	1	4	yes	—
1027	#124	C₂³×C₈₉	1	8	yes	—
1028	#124	C₂³×C₈₉	1	2	yes	—
1029	#124	C₂³×C₈₉	1	8	yes	—
1030	#124	C₂³×C₈₉	1	8	yes	—
1031	#124	C₂³×C₈₉	1	8	yes	—
1032	#124	C₂³×C₈₉	1	8	yes	—
1033	#124	C₂³×C₈₉	1	8	yes	—
1034	#123	C₂³×C₈₉	1	8	yes	—
1035	#123	C₂³×C₈₉	1	8	yes	—
1036	#123	C₂³×C₈₉	1	8	yes	—
1037	#123	C₂³×C₈₉	1	4	yes	—
1038	#123	C₂³×C₈₉	1	8	yes	—
1039	#123	C₂³×C₈₉	1	8	yes	—
1040	#123	C₂³×C₈₉	1	4	yes	—
1041	#123	C₂³×C₈₉	1	4	yes	—
1042	#123	C₂³×C₈₉	1	8	yes	—
1043	#123	C₂³×C₈₉	1	4	yes	—
1044	#123	C₂³×C₈₉	1	4	yes	—
1045	#123	C₂³×C₈₉	1	8	yes	—
1046	#123	C₂³×C₈₉	1	8	yes	—
1047	#123	C₂³×C₈₉	1	8	yes	—
1048	#123	C₂³×C₈₉	1	8	yes	—
1049	#123	C₂³×C₈₉	1	8	yes	—
1050	#123	C₂³×C₈₉	1	8	yes	—
1051	#123	C₂³×C₈₉	1	8	yes	—
1052	#123	C₂³×C₈₉	1	8	yes	—
1053	#123	C₂³×C₈₉	1	8	yes	—
1054	#123	C₂³×C₈₉	1	8	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	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1060	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1061	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1062	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1063	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1064	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1065	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1066	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1067	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1068	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1070	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1071	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1072	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1073	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1074	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1075	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1076	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1077	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1078	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1079	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1080	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1081	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1082	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1083	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1085	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1086	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1087	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1088	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1089	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1090	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1091	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1092	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1093	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1094	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1095	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1096	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1097	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1098	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1099	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1100	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1101	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1102	C₂²⋊Q₈	C₂³×C₈₉	1	8	yes	—
1103	#121	C₂³×C₈₉	1	4	yes	—
1104	#121	C₂³×C₈₉	1	4	yes	—
1105	#121	C₂³×C₈₉	1	2	yes	—
1106	#121	C₂³×C₈₉	1	2	yes	—
1107	#121	C₂³×C₈₉	1	2	yes	—
1108	#121	C₂³×C₈₉	1	4	yes	—
1109	#121	C₂³×C₈₉	1	2	yes	—
1110	#121	C₂³×C₈₉	1	4	yes	—
1111	#121	C₂³×C₈₉	1	4	yes	—
1112	#121	C₂³×C₈₉	1	4	yes	—
1113	#121	C₂³×C₈₉	1	4	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	#120	C₂³×C₈₉	1	8	yes	—
1119	#120	C₂³×C₈₉	1	4	yes	—
1120	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1121	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1122	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1123	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1124	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1125	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1126	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1127	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1128	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1129	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1130	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1131	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1132	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1133	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1134	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1135	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1136	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1137	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1138	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1139	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1140	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1141	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1142	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1143	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1144	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1145	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1146	C₄×Q₈	C₂³×C₈₉	1	8	yes	—
1147	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1148	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1149	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1150	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1151	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1152	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1153	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1154	C₄×D₄	C₂³×C₈₉	1	2	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	4	yes	—
1159	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1160	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1161	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1162	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1163	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1164	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1165	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1166	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1167	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1168	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1169	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1170	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1171	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1172	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1173	C₄×D₄	C₂³×C₈₉	1	8	yes	—
1174	#117	C₂³×C₈₉	1	2	yes	—
1175	#117	C₂³×C₈₉	1	2	yes	—
1176	#117	C₂³×C₈₉	1	2	yes	—
1177	#117	C₂³×C₈₉	1	2	yes	—
1178	#117	C₂³×C₈₉	1	4	yes	—
1179	#117	C₂³×C₈₉	1	2	yes	—
1180	#117	C₂³×C₈₉	1	2	yes	—
1181	#117	C₂³×C₈₉	1	4	yes	—
1182	#117	C₂³×C₈₉	1	2	yes	—
1183	#117	C₂³×C₈₉	1	2	yes	—
1184	#117	C₂³×C₈₉	1	2	yes	—
1185	#117	C₂³×C₈₉	1	4	yes	—
1186	#117	C₂³×C₈₉	1	8	yes	—
1187	#117	C₂³×C₈₉	1	4	yes	—
1188	#117	C₂³×C₈₉	1	4	yes	—
1189	#117	C₂³×C₈₉	1	4	yes	—
1190	#117	C₂³×C₈₉	1	8	yes	—
1191	#117	C₂³×C₈₉	1	8	yes	—
1192	#117	C₂³×C₈₉	1	8	yes	—
1193	#117	C₂³×C₈₉	1	8	yes	—
1194	#117	C₂³×C₈₉	1	8	yes	—
1195	#117	C₂³×C₈₉	1	8	yes	—
1196	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1197	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1198	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1199	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1200	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1201	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1202	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1203	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1204	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1205	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1206	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1207	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1208	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1209	C₂×C₄⋊C₄	C₂³×C₈₉	1	8	yes	—
1210	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1213	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1214	C₂×C₂²⋊C₄	C₂³×C₈₉	1	8	yes	—
1215	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1216	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1217	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1218	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1219	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1220	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1221	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1222	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1223	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1224	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1225	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1226	#41	—	2	8	no	—
1227	#41	—	8	4	no	—
1228	#41	—	8	8	no	—
1229	C₂×Q₈	—	2	4	no	—
1230	C₂×Q₈	—	8	2	no	—
1231	C₂×Q₈	—	8	4	no	—
1232	C₂×Q₈	—	8	8	no	—
1233	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1234	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1235	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1236	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1237	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1238	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1239	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1240	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1241	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1242	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1243	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1244	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1245	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1246	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
1247	C₂×D₄	—	2	4	no	—
1248	C₂×D₄	—	8	2	no	—
1249	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1250	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1251	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1252	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1253	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1254	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1255	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1256	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1257	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1258	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1259	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
1260	C₂²×C₄	—	2	4	no	—
1261	C₂²×C₄	—	8	2	no	—
1262	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1263	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1264	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1265	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1267	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1271	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1273	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1276	C₂²×C₄	C₂⁴×C₈₉	1	2	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	8	yes	—
1281	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1282	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1283	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1284	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1285	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1286	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1287	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1288	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1289	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1290	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1291	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1292	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1293	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1294	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1295	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1296	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1297	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1298	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1299	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1301	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1302	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1304	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1305	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1306	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1307	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1308	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1309	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
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	4	yes	—
1315	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1316	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1320	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1321	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1322	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1323	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1324	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1325	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1326	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1327	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1328	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1329	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1330	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1331	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1332	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1333	C₄⋊C₄	C₂⁴×C₈₉	1	2	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	2	yes	—
1339	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1340	C₂²⋊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	2	yes	—
1344	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1345	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1346	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1347	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1348	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1349	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1352	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1353	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1354	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₈₉	1	8	yes	—
1358	C₂²⋊C₄	C₂⁴×C₈₉	1	8	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	8	yes	—
1365	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1366	C₂²⋊C₄	C₂⁴×C₈₉	1	4	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	8	yes	—
1371	C₄²	C₂⁴×C₈₉	1	2	yes	—
1372	C₄²	C₂⁴×C₈₉	1	4	yes	—
1373	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1374	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1375	C₄²	C₂⁴×C₈₉	1	4	yes	—
1376	C₄²	C₂⁴×C₈₉	1	4	yes	—
1377	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1378	C₄²	C₂⁴×C₈₉	1	2	yes	—
1379	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1380	C₄²	C₂⁴×C₈₉	1	4	yes	—
1381	C₄²	C₂⁴×C₈₉	1	4	yes	—
1382	C₄²	C₂⁴×C₈₉	1	4	yes	—
1383	C₄²	C₂⁴×C₈₉	1	4	yes	—
1384	C₄²	C₂⁴×C₈₉	1	4	yes	—
1385	C₄²	C₂⁴×C₈₉	1	4	yes	—
1386	C₄²	C₂⁴×C₈₉	1	8	yes	—
1387	C₄²	C₂⁴×C₈₉	1	8	yes	—
1388	C₄²	C₂⁴×C₈₉	1	8	yes	—
1389	C₄²	C₂⁴×C₈₉	1	8	yes	—
1390	C₂³	—	2	2	no	—
1391	C₂³	—	2	4	no	—
1392	C₂³	—	4	2	no	—
1393	C₂³	—	4	1	no	—
1394	C₂³	—	4	1	no	—
1395	C₂³	—	4	2	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	1	yes	characteristic
1400	Q₈	—	2	4	no	—
1401	Q₈	—	2	4	no	—
1402	Q₈	—	2	4	no	—
1403	Q₈	—	4	2	no	—
1404	Q₈	—	4	8	no	—
1405	Q₈	—	4	8	no	—
1406	Q₈	—	4	4	no	—
1407	Q₈	—	4	2	no	—
1408	Q₈	—	4	8	no	—
1409	Q₈	—	4	2	no	—
1410	Q₈	—	4	2	no	—
1411	Q₈	—	4	4	no	—
1412	Q₈	—	4	2	no	—
1413	Q₈	—	4	2	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	2	4	no	—
1418	D₄	—	4	8	no	—
1419	D₄	—	4	4	no	—
1420	D₄	—	4	8	no	—
1421	D₄	—	4	2	no	—
1422	D₄	—	4	2	no	—
1423	D₄	—	4	8	no	—
1424	D₄	—	4	4	no	—
1425	C₂×C₄	—	2	2	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	4	no	—
1429	C₂×C₄	—	2	8	no	—
1430	C₂×C₄	—	4	1	no	—
1431	C₂×C₄	—	4	2	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	8	no	—
1435	C₂×C₄	—	4	4	no	—
1436	C₂×C₄	—	4	1	no	—
1437	C₂×C₄	—	4	4	no	—
1438	C₂×C₄	—	4	1	no	—
1439	C₂×C₄	—	4	2	no	—
1440	C₂×C₄	—	4	4	no	—
1441	C₂×C₄	—	4	1	no	—
1442	C₂×C₄	—	4	8	no	—
1443	C₂×C₄	—	4	8	no	—
1444	C₂×C₄	—	4	8	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	2₋¹⁺⁴×C₈₉	1	4	yes	—
1447	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1448	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1449	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1450	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1451	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1452	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1453	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1454	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1455	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1456	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1457	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1458	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1459	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1460	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1461	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1462	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1463	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1464	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1465	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	2	4	no	—
1472	C₂²	—	2	4	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	4	no	—
1476	C₂²	—	2	4	no	—
1477	C₂²	—	8	2	no	—
1478	C₂²	—	8	4	no	—
1479	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1480	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	4	no	—
1484	C₄	—	2	1	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	4	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	4	no	—
1493	C₄	—	2	4	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	4	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1499	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
1500	C₂	—	2	2	no	—
1501	C₂	—	4	4	no	—
1502	C₂	—	4	2	no	—
1503	C₂	—	4	4	no	—
1504	C₂	C₂²×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
1505	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
1506	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×#3565	C₂	semidirect
2. C₈₉×#3565	C₂	semidirect
3. C₈₉×#3564	C₂	semidirect
4. C₈₉×#3561	C₂	semidirect
5. C₈₉×#3557	C₂	semidirect
6. C₈₉×#3555	C₂	semidirect
7. C₈₉×#3554	C₂	semidirect
8. C₈₉×#3552	C₂	semidirect
9. C₈₉×#3550	C₂	semidirect
10. C₈₉×#3544	C₂	semidirect
11. C₈₉×#3538	C₂	semidirect
12. C₈₉×#3535	C₂	semidirect
13. C₈₉×#3510	C₂	semidirect
14. C₈₉×#3507	C₂	semidirect
15. C₈₉×#3506	C₂	semidirect
16. C₈₉×#3503	C₂	semidirect
17. C₈₉×#3502	C₂	semidirect
18. C₈₉×#3501	C₂	semidirect
19. C₈₉×#3495	C₂	semidirect
20. C₈₉×#3494	C₂	semidirect
21. C₈₉×#3458	C₂	semidirect
22. C₈₉×#3455	C₂	semidirect
23. C₂×#542×C₈₉	C₂	semidirect
24. #563×C₈₉	C₂²	semidirect
25. #563×C₈₉	C₂²	semidirect
26. #563×C₈₉	C₂²	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #563×C₈₉	C₂²	semidirect
29. #563×C₈₉	C₂²	semidirect
30. #562×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. #559×C₈₉	C₂²	semidirect
33. #559×C₈₉	C₂²	semidirect
34. #559×C₈₉	C₂²	semidirect
35. #559×C₈₉	C₂²	semidirect
36. Q₈²×C₈₉	C₂²	semidirect
37. Q₈²×C₈₉	C₂²	semidirect
38. Q₈²×C₈₉	C₂²	semidirect
39. #557×C₈₉	C₂²	semidirect
40. #557×C₈₉	C₂²	semidirect
41. #557×C₈₉	C₂²	semidirect
42. #557×C₈₉	C₂²	semidirect
43. #557×C₈₉	C₂²	semidirect
44. #557×C₈₉	C₂²	semidirect
45. #556×C₈₉	C₂²	semidirect
46. #556×C₈₉	C₂²	semidirect
47. #556×C₈₉	C₂²	semidirect
48. #556×C₈₉	C₂²	semidirect
49. #556×C₈₉	C₂²	semidirect
50. #556×C₈₉	C₂²	semidirect
51. #556×C₈₉	C₂²	semidirect
52. #556×C₈₉	C₂²	semidirect
54. #555×C₈₉	C₂²	semidirect
56. #554×C₈₉	C₂²	semidirect
57. #554×C₈₉	C₂²	semidirect
58. #554×C₈₉	C₂²	semidirect
59. #554×C₈₉	C₂²	semidirect
60. #554×C₈₉	C₂²	semidirect
61. #554×C₈₉	C₂²	semidirect
62. #554×C₈₉	C₂²	semidirect
65. #553×C₈₉	C₂²	semidirect
67. #552×C₈₉	C₂²	semidirect
68. #552×C₈₉	C₂²	semidirect
69. #552×C₈₉	C₂²	semidirect
70. #552×C₈₉	C₂²	semidirect
71. #552×C₈₉	C₂²	semidirect
72. #552×C₈₉	C₂²	semidirect
77. #550×C₈₉	C₂²	semidirect
79. D₄×Q₈×C₈₉	C₂²	semidirect
80. D₄×Q₈×C₈₉	C₂²	semidirect
81. D₄×Q₈×C₈₉	C₂²	semidirect
82. D₄×Q₈×C₈₉	C₂²	semidirect
83. #548×C₈₉	C₂²	semidirect
85. #547×C₈₉	C₂²	semidirect
86. #547×C₈₉	C₂²	semidirect
93. #544×C₈₉	C₂²	semidirect
94. #544×C₈₉	C₂²	semidirect
95. #544×C₈₉	C₂²	semidirect
96. #544×C₈₉	C₂²	semidirect
97. #544×C₈₉	C₂²	semidirect
98. #544×C₈₉	C₂²	semidirect
99. #544×C₈₉	C₂²	semidirect
108. #542×C₈₉	C₂²	semidirect
109. #542×C₈₉	C₂²	semidirect
110. #542×C₈₉	C₂²	semidirect
111. #542×C₈₉	C₂²	semidirect
112. #542×C₈₉	C₂²	semidirect
113. #542×C₈₉	C₂²	semidirect
114. #542×C₈₉	C₂²	semidirect
115. #542×C₈₉	C₂²	semidirect
116. #542×C₈₉	C₂²	semidirect
117. #542×C₈₉	C₂²	semidirect
118. #541×C₈₉	C₂²	semidirect
119. #541×C₈₉	C₂²	semidirect
120. #541×C₈₉	C₂²	semidirect
121. #541×C₈₉	C₂²	semidirect
122. #541×C₈₉	C₂²	semidirect
124. #540×C₈₉	C₂²	semidirect
128. #539×C₈₉	C₂²	semidirect
129. #539×C₈₉	C₂²	semidirect
130. #539×C₈₉	C₂²	semidirect
131. #539×C₈₉	C₂²	semidirect
136. #536×C₈₉	C₂²	semidirect
137. #536×C₈₉	C₂²	semidirect
138. #536×C₈₉	C₂²	semidirect
145. #533×C₈₉	C₂²	semidirect
146. #533×C₈₉	C₂²	semidirect
147. #533×C₈₉	C₂²	semidirect
148. #533×C₈₉	C₂²	semidirect
152. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
155. #529×C₈₉	C₂²	semidirect
156. #529×C₈₉	C₂²	semidirect
157. #529×C₈₉	C₂²	semidirect
158. #529×C₈₉	C₂²	semidirect
159. #529×C₈₉	C₂²	semidirect
746. #62879	C₈₉	direct (N × H)
754. #3565	C₂×C₈₉	semidirect
755. #3565	C₂×C₈₉	semidirect
756. #3564	C₂×C₈₉	semidirect
757. #3561	C₂×C₈₉	semidirect
758. #3557	C₂×C₈₉	semidirect
759. #3555	C₂×C₈₉	semidirect
760. #3554	C₂×C₈₉	semidirect
761. #3552	C₂×C₈₉	semidirect
762. #3550	C₂×C₈₉	semidirect
763. #3544	C₂×C₈₉	semidirect
764. #3538	C₂×C₈₉	semidirect
765. #3535	C₂×C₈₉	semidirect
766. #3510	C₂×C₈₉	semidirect
767. #3507	C₂×C₈₉	semidirect
768. #3506	C₂×C₈₉	semidirect
769. #3503	C₂×C₈₉	semidirect
770. #3502	C₂×C₈₉	semidirect
771. #3501	C₂×C₈₉	semidirect
772. #3495	C₂×C₈₉	semidirect
773. #3494	C₂×C₈₉	semidirect
774. #3458	C₂×C₈₉	semidirect
775. #3455	C₂×C₈₉	semidirect
776. C₂×#542	C₂×C₈₉	semidirect
777. C₈₉	#62879	direct (N × H)
778. #563	C₂²×C₈₉	semidirect
779. #563	C₂²×C₈₉	semidirect
780. #563	C₂²×C₈₉	semidirect
781. #563	C₂²×C₈₉	semidirect
782. #563	C₂²×C₈₉	semidirect
783. #563	C₂²×C₈₉	semidirect
784. #562	C₂²×C₈₉	semidirect
785. #562	C₂²×C₈₉	semidirect
786. #559	C₂²×C₈₉	semidirect
787. #559	C₂²×C₈₉	semidirect
788. #559	C₂²×C₈₉	semidirect
789. #559	C₂²×C₈₉	semidirect
790. Q₈²	C₂²×C₈₉	semidirect
791. Q₈²	C₂²×C₈₉	semidirect
792. Q₈²	C₂²×C₈₉	semidirect
793. #557	C₂²×C₈₉	semidirect
794. #557	C₂²×C₈₉	semidirect
795. #557	C₂²×C₈₉	semidirect
796. #557	C₂²×C₈₉	semidirect
797. #557	C₂²×C₈₉	semidirect
798. #557	C₂²×C₈₉	semidirect
799. #556	C₂²×C₈₉	semidirect
800. #556	C₂²×C₈₉	semidirect
801. #556	C₂²×C₈₉	semidirect
802. #556	C₂²×C₈₉	semidirect
803. #556	C₂²×C₈₉	semidirect
804. #556	C₂²×C₈₉	semidirect
805. #556	C₂²×C₈₉	semidirect
806. #556	C₂²×C₈₉	semidirect
808. #555	C₂²×C₈₉	semidirect
810. #554	C₂²×C₈₉	semidirect
811. #554	C₂²×C₈₉	semidirect
812. #554	C₂²×C₈₉	semidirect
813. #554	C₂²×C₈₉	semidirect
814. #554	C₂²×C₈₉	semidirect
815. #554	C₂²×C₈₉	semidirect
816. #554	C₂²×C₈₉	semidirect
819. #553	C₂²×C₈₉	semidirect
821. #552	C₂²×C₈₉	semidirect
822. #552	C₂²×C₈₉	semidirect
823. #552	C₂²×C₈₉	semidirect
824. #552	C₂²×C₈₉	semidirect
825. #552	C₂²×C₈₉	semidirect
826. #552	C₂²×C₈₉	semidirect
831. #550	C₂²×C₈₉	semidirect
833. D₄×Q₈	C₂²×C₈₉	semidirect
834. D₄×Q₈	C₂²×C₈₉	semidirect
835. D₄×Q₈	C₂²×C₈₉	semidirect
836. D₄×Q₈	C₂²×C₈₉	semidirect
837. #548	C₂²×C₈₉	semidirect
839. #547	C₂²×C₈₉	semidirect
840. #547	C₂²×C₈₉	semidirect
847. #544	C₂²×C₈₉	semidirect
848. #544	C₂²×C₈₉	semidirect
849. #544	C₂²×C₈₉	semidirect
850. #544	C₂²×C₈₉	semidirect
851. #544	C₂²×C₈₉	semidirect
852. #544	C₂²×C₈₉	semidirect
853. #544	C₂²×C₈₉	semidirect
862. #542	C₂²×C₈₉	semidirect
863. #542	C₂²×C₈₉	semidirect
864. #542	C₂²×C₈₉	semidirect
865. #542	C₂²×C₈₉	semidirect
866. #542	C₂²×C₈₉	semidirect
867. #542	C₂²×C₈₉	semidirect
868. #542	C₂²×C₈₉	semidirect
869. #542	C₂²×C₈₉	semidirect
870. #542	C₂²×C₈₉	semidirect
871. #542	C₂²×C₈₉	semidirect
872. #541	C₂²×C₈₉	semidirect
873. #541	C₂²×C₈₉	semidirect
874. #541	C₂²×C₈₉	semidirect
875. #541	C₂²×C₈₉	semidirect
876. #541	C₂²×C₈₉	semidirect
878. #540	C₂²×C₈₉	semidirect
882. #539	C₂²×C₈₉	semidirect
883. #539	C₂²×C₈₉	semidirect
884. #539	C₂²×C₈₉	semidirect
885. #539	C₂²×C₈₉	semidirect
890. #536	C₂²×C₈₉	semidirect
891. #536	C₂²×C₈₉	semidirect
892. #536	C₂²×C₈₉	semidirect
899. #533	C₂²×C₈₉	semidirect
900. #533	C₂²×C₈₉	semidirect
901. #533	C₂²×C₈₉	semidirect
902. #533	C₂²×C₈₉	semidirect
906. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
909. #529	C₂²×C₈₉	semidirect
910. #529	C₂²×C₈₉	semidirect
911. #529	C₂²×C₈₉	semidirect
912. #529	C₂²×C₈₉	semidirect
913. #529	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×#3565	2
C₈₉×#3564	2
C₈₉×#3561	2
C₈₉×#3557	2
C₈₉×#3555	2
C₈₉×#3554	2
C₈₉×#3552	2
C₈₉×#3550	2
C₈₉×#3544	2
C₈₉×#3538	2
C₈₉×#3535	2
C₈₉×#3510	2
C₈₉×#3507	2
C₈₉×#3506	2
C₈₉×#3503	2
C₈₉×#3502	2
C₈₉×#3501	2
C₈₉×#3495	2
C₈₉×#3494	2
C₈₉×#3458	2
C₈₉×#3455	2
C₂×#542×C₈₉	2
#62879	89

Subgroups — C89×#62879 #36440727

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62879 #36440727