Subgroups — C₈₉×#63058 #36440906

Order 22784.

6404 conjugacy classes of subgroups.

The subgroup lattice has 2194 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	2	yes	maximal, complemented
2	C₈₉×#3564	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3564	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3563	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3563	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3561	C₂	1	2	yes	maximal, complemented
7	C₈₉×#3559	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3557	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
10	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3553	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3552	C₂	1	4	yes	maximal, complemented
13	C₈₉×#3552	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3544	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
17	C₈₉×#3538	C₂	1	4	yes	maximal, complemented
18	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
19	C₈₉×#3531	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#563×C₈₉	C₂	1	2	yes	maximal, complemented
21	C₈₉×#3521	C₂	1	2	yes	maximal, complemented
22	C₈₉×#3521	C₂	1	2	yes	maximal, complemented
23	C₈₉×#3520	C₂	1	2	yes	maximal, complemented
24	C₈₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3514	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3513	C₂	1	2	yes	maximal, complemented
27	C₈₉×#3504	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3503	C₂	1	2	yes	maximal, complemented
29	C₈₉×#3501	C₂	1	2	yes	maximal, complemented
30	#564×C₈₉	C₂²	1	1	yes	characteristic, complemented
31	#564×C₈₉	C₂²	1	2	yes	complemented
32	#563×C₈₉	C₂²	1	1	yes	characteristic
33	#563×C₈₉	C₂²	1	4	yes	—
34	#563×C₈₉	C₂²	1	2	yes	—
35	#563×C₈₉	C₂²	1	4	yes	complemented
36	#563×C₈₉	C₂²	1	4	yes	complemented
37	#563×C₈₉	C₂²	1	4	yes	complemented
38	#563×C₈₉	C₂²	1	2	yes	complemented
39	#563×C₈₉	C₂²	1	4	yes	complemented
40	#563×C₈₉	C₂²	1	4	yes	complemented
41	#563×C₈₉	C₂²	1	2	yes	complemented
42	#563×C₈₉	C₂²	1	2	yes	complemented
43	#563×C₈₉	C₂²	1	2	yes	complemented
44	#563×C₈₉	C₂²	1	1	yes	characteristic, complemented
45	#563×C₈₉	C₂²	1	2	yes	complemented
46	#563×C₈₉	C₂²	1	2	yes	complemented
47	#563×C₈₉	C₂²	1	4	yes	complemented
48	#563×C₈₉	C₂²	1	4	yes	complemented
49	#563×C₈₉	C₂²	1	4	yes	complemented
50	#563×C₈₉	C₂²	1	2	yes	complemented
51	#563×C₈₉	C₂²	1	4	yes	complemented
52	#563×C₈₉	C₂²	1	4	yes	complemented
53	#562×C₈₉	C₂²	1	2	yes	—
54	#562×C₈₉	C₂²	1	1	yes	characteristic
55	#562×C₈₉	C₂²	1	2	yes	complemented
56	#562×C₈₉	C₂²	1	4	yes	complemented
57	#562×C₈₉	C₂²	1	2	yes	complemented
58	#559×C₈₉	C₂²	1	2	yes	—
59	#559×C₈₉	C₂²	1	1	yes	characteristic
60	Q₈²×C₈₉	C₂²	1	2	yes	complemented
61	Q₈²×C₈₉	C₂²	1	2	yes	complemented
62	#557×C₈₉	C₂²	1	2	yes	complemented
63	#557×C₈₉	C₂²	1	2	yes	complemented
64	#557×C₈₉	C₂²	1	2	yes	complemented
65	#557×C₈₉	C₂²	1	2	yes	complemented
66	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
67	#557×C₈₉	C₂²	1	4	yes	complemented
68	#556×C₈₉	C₂²	1	1	yes	characteristic
69	#556×C₈₉	C₂²	1	2	yes	complemented
70	#556×C₈₉	C₂²	1	2	yes	complemented
71	#556×C₈₉	C₂²	1	2	yes	complemented
72	#556×C₈₉	C₂²	1	2	yes	complemented
73	#556×C₈₉	C₂²	1	2	yes	complemented
74	#556×C₈₉	C₂²	1	4	yes	complemented
75	#556×C₈₉	C₂²	1	2	yes	complemented
76	#556×C₈₉	C₂²	1	4	yes	complemented
77	#556×C₈₉	C₂²	1	4	yes	complemented
78	#555×C₈₉	C₂²	1	2	yes	—
79	#554×C₈₉	C₂²	1	1	yes	characteristic
80	#554×C₈₉	C₂²	1	2	yes	—
81	#554×C₈₉	C₂²	1	2	yes	—
82	#554×C₈₉	C₂²	1	2	yes	—
83	#554×C₈₉	C₂²	1	4	yes	complemented
84	#554×C₈₉	C₂²	1	2	yes	complemented
85	#554×C₈₉	C₂²	1	4	yes	complemented
86	#554×C₈₉	C₂²	1	4	yes	complemented
87	#554×C₈₉	C₂²	1	2	yes	complemented
88	#554×C₈₉	C₂²	1	2	yes	complemented
89	#554×C₈₉	C₂²	1	4	yes	complemented
90	#554×C₈₉	C₂²	1	4	yes	complemented
91	#554×C₈₉	C₂²	1	4	yes	complemented
92	#554×C₈₉	C₂²	1	4	yes	complemented
93	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#554×C₈₉	C₂²	1	2	yes	complemented
95	#554×C₈₉	C₂²	1	2	yes	complemented
96	#553×C₈₉	C₂²	1	4	yes	—
97	#553×C₈₉	C₂²	1	2	yes	—
98	#553×C₈₉	C₂²	1	2	yes	complemented
99	#553×C₈₉	C₂²	1	4	yes	complemented
100	#553×C₈₉	C₂²	1	4	yes	complemented
101	#553×C₈₉	C₂²	1	2	yes	complemented
102	#553×C₈₉	C₂²	1	2	yes	complemented
103	#552×C₈₉	C₂²	1	2	yes	—
104	#552×C₈₉	C₂²	1	4	yes	complemented
105	#552×C₈₉	C₂²	1	2	yes	complemented
106	#552×C₈₉	C₂²	1	2	yes	complemented
107	#552×C₈₉	C₂²	1	4	yes	complemented
108	#552×C₈₉	C₂²	1	4	yes	complemented
109	#552×C₈₉	C₂²	1	2	yes	complemented
110	#552×C₈₉	C₂²	1	4	yes	complemented
111	#552×C₈₉	C₂²	1	2	yes	complemented
112	#552×C₈₉	C₂²	1	4	yes	complemented
113	#552×C₈₉	C₂²	1	4	yes	complemented
114	#552×C₈₉	C₂²	1	4	yes	complemented
115	#552×C₈₉	C₂²	1	4	yes	complemented
116	#552×C₈₉	C₂²	1	4	yes	complemented
117	#552×C₈₉	C₂²	1	4	yes	complemented
118	#551×C₈₉	C₂²	1	4	yes	—
119	#551×C₈₉	C₂²	1	4	yes	—
120	#551×C₈₉	C₂²	1	4	yes	—
121	#551×C₈₉	C₂²	1	4	yes	complemented
122	#551×C₈₉	C₂²	1	4	yes	complemented
123	#551×C₈₉	C₂²	1	4	yes	complemented
124	#551×C₈₉	C₂²	1	4	yes	complemented
125	#551×C₈₉	C₂²	1	4	yes	complemented
126	#551×C₈₉	C₂²	1	4	yes	complemented
127	D₄×Q₈×C₈₉	C₂²	1	2	yes	—
128	D₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic
129	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
130	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
131	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
132	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
133	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
134	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
135	#548×C₈₉	C₂²	1	2	yes	—
136	#548×C₈₉	C₂²	1	4	yes	complemented
137	#548×C₈₉	C₂²	1	4	yes	complemented
138	#547×C₈₉	C₂²	1	2	yes	—
139	#547×C₈₉	C₂²	1	2	yes	—
140	#547×C₈₉	C₂²	1	1	yes	characteristic
141	#547×C₈₉	C₂²	1	2	yes	complemented
142	#547×C₈₉	C₂²	1	4	yes	complemented
143	#547×C₈₉	C₂²	1	4	yes	complemented
144	#546×C₈₉	C₂²	1	2	yes	—
145	#546×C₈₉	C₂²	1	2	yes	—
146	#546×C₈₉	C₂²	1	4	yes	—
147	#546×C₈₉	C₂²	1	2	yes	—
148	#546×C₈₉	C₂²	1	2	yes	—
149	D₄²×C₈₉	C₂²	1	1	yes	characteristic
150	#544×C₈₉	C₂²	1	2	yes	complemented
151	#544×C₈₉	C₂²	1	2	yes	complemented
152	#544×C₈₉	C₂²	1	4	yes	complemented
153	#544×C₈₉	C₂²	1	4	yes	complemented
154	#544×C₈₉	C₂²	1	2	yes	complemented
155	#544×C₈₉	C₂²	1	2	yes	complemented
156	#544×C₈₉	C₂²	1	2	yes	complemented
157	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#544×C₈₉	C₂²	1	2	yes	complemented
159	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#544×C₈₉	C₂²	1	4	yes	complemented
161	#544×C₈₉	C₂²	1	4	yes	complemented
162	#544×C₈₉	C₂²	1	2	yes	complemented
163	#543×C₈₉	C₂²	1	4	yes	complemented
164	#543×C₈₉	C₂²	1	4	yes	complemented
165	#542×C₈₉	C₂²	1	2	yes	—
166	#542×C₈₉	C₂²	1	2	yes	—
167	#542×C₈₉	C₂²	1	4	yes	—
168	#542×C₈₉	C₂²	1	2	yes	complemented
169	#542×C₈₉	C₂²	1	2	yes	complemented
170	#542×C₈₉	C₂²	1	2	yes	complemented
171	#542×C₈₉	C₂²	1	2	yes	complemented
172	#542×C₈₉	C₂²	1	4	yes	complemented
173	#542×C₈₉	C₂²	1	4	yes	complemented
174	#542×C₈₉	C₂²	1	4	yes	complemented
175	#542×C₈₉	C₂²	1	4	yes	complemented
176	#542×C₈₉	C₂²	1	4	yes	complemented
177	#542×C₈₉	C₂²	1	4	yes	complemented
178	#541×C₈₉	C₂²	1	2	yes	complemented
179	#541×C₈₉	C₂²	1	2	yes	complemented
180	#541×C₈₉	C₂²	1	2	yes	complemented
181	#541×C₈₉	C₂²	1	4	yes	complemented
182	#541×C₈₉	C₂²	1	4	yes	complemented
183	#541×C₈₉	C₂²	1	4	yes	complemented
184	#541×C₈₉	C₂²	1	4	yes	complemented
185	#541×C₈₉	C₂²	1	4	yes	complemented
186	#541×C₈₉	C₂²	1	4	yes	complemented
187	#541×C₈₉	C₂²	1	4	yes	complemented
188	#541×C₈₉	C₂²	1	4	yes	complemented
189	#541×C₈₉	C₂²	1	4	yes	complemented
190	#540×C₈₉	C₂²	1	2	yes	—
191	#539×C₈₉	C₂²	1	4	yes	—
192	#539×C₈₉	C₂²	1	2	yes	—
193	#539×C₈₉	C₂²	1	4	yes	complemented
194	#539×C₈₉	C₂²	1	4	yes	complemented
195	#539×C₈₉	C₂²	1	4	yes	complemented
196	#539×C₈₉	C₂²	1	4	yes	complemented
197	#539×C₈₉	C₂²	1	4	yes	complemented
198	#539×C₈₉	C₂²	1	4	yes	complemented
199	#539×C₈₉	C₂²	1	4	yes	complemented
200	#539×C₈₉	C₂²	1	4	yes	complemented
201	#539×C₈₉	C₂²	1	4	yes	complemented
202	#539×C₈₉	C₂²	1	4	yes	complemented
203	#539×C₈₉	C₂²	1	4	yes	complemented
204	#539×C₈₉	C₂²	1	2	yes	complemented
205	#538×C₈₉	C₂²	1	4	yes	—
206	#538×C₈₉	C₂²	1	4	yes	—
207	#538×C₈₉	C₂²	1	4	yes	complemented
208	#538×C₈₉	C₂²	1	4	yes	complemented
209	#537×C₈₉	C₂²	1	2	yes	complemented
210	#536×C₈₉	C₂²	1	4	yes	complemented
211	#536×C₈₉	C₂²	1	4	yes	complemented
212	#536×C₈₉	C₂²	1	4	yes	complemented
213	#536×C₈₉	C₂²	1	4	yes	complemented
214	#533×C₈₉	C₂²	1	2	yes	complemented
215	#533×C₈₉	C₂²	1	2	yes	complemented
216	#533×C₈₉	C₂²	1	2	yes	complemented
217	#533×C₈₉	C₂²	1	4	yes	complemented
218	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
219	#533×C₈₉	C₂²	1	2	yes	complemented
220	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
221	#533×C₈₉	C₂²	1	2	yes	complemented
222	#532×C₈₉	C₂²	1	1	yes	characteristic
223	C₂×C₄⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
224	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
225	#529×C₈₉	C₂²	1	2	yes	—
226	#529×C₈₉	C₂²	1	2	yes	—
227	#529×C₈₉	C₂²	1	1	yes	characteristic
228	#529×C₈₉	C₂²	1	2	yes	—
229	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
230	#529×C₈₉	C₂²	1	2	yes	complemented
231	#529×C₈₉	C₂²	1	2	yes	complemented
232	#529×C₈₉	C₂²	1	2	yes	complemented
233	#529×C₈₉	C₂²	1	2	yes	complemented
234	#529×C₈₉	C₂²	1	2	yes	complemented
235	#529×C₈₉	C₂²	1	2	yes	complemented
236	#529×C₈₉	C₂²	1	4	yes	complemented
237	#529×C₈₉	C₂²	1	4	yes	complemented
238	C₂×#126×C₈₉	C₂²	1	4	yes	complemented
239	C₂×#126×C₈₉	C₂²	1	4	yes	complemented
240	C₂×#125×C₈₉	C₂²	1	2	yes	complemented
241	C₂×#125×C₈₉	C₂²	1	1	yes	characteristic, complemented
242	C₂×#125×C₈₉	C₂²	1	2	yes	complemented
243	C₂×#124×C₈₉	C₂²	1	2	yes	—
244	#525×C₈₉	C₂²	1	4	yes	—
245	#525×C₈₉	C₂²	1	4	yes	complemented
246	C₂×#123×C₈₉	C₂²	1	4	yes	—
247	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
248	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
249	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
250	#520×C₈₉	C₂²	1	2	yes	—
251	#520×C₈₉	C₂²	1	2	yes	—
252	#520×C₈₉	C₂²	1	1	yes	characteristic
253	#520×C₈₉	C₂²	1	1	yes	characteristic
254	#518×C₈₉	C₂²	1	2	yes	—
255	#518×C₈₉	C₂²	1	2	yes	—
256	C₄×#41×C₈₉	C₂²	1	2	yes	—
257	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
258	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	—
259	C₂×#41×C₈₉	C₂³	1	2	yes	—
260	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
261	C₂×#41×C₈₉	C₂³	1	4	yes	—
262	C₂×#41×C₈₉	C₂³	1	4	yes	—
263	C₂×#41×C₈₉	C₂³	1	2	yes	—
264	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
265	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
266	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
267	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
268	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
269	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
270	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
271	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
272	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
273	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
274	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
275	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
276	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
277	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
278	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
279	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
280	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
281	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
282	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
283	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
284	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
285	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
286	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
287	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
288	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
289	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
290	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
291	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
292	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
293	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
294	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
295	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
296	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
297	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
298	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
299	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
300	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
301	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
302	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
303	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
304	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
305	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
306	#127×C₈₉	C₂³	1	1	yes	characteristic
307	#126×C₈₉	C₂³	1	2	yes	—
308	#126×C₈₉	C₂³	1	2	yes	—
309	#126×C₈₉	C₂³	1	4	yes	—
310	#126×C₈₉	C₂³	1	4	yes	—
311	#126×C₈₉	C₂³	1	4	yes	—
312	#126×C₈₉	C₂³	1	4	yes	—
313	#126×C₈₉	C₂³	1	4	yes	—
314	#126×C₈₉	C₂³	1	4	yes	—
315	#126×C₈₉	C₂³	1	4	yes	—
316	#126×C₈₉	C₂³	1	4	yes	—
317	#126×C₈₉	C₂³	1	4	yes	—
318	#126×C₈₉	C₂³	1	4	yes	—
319	#126×C₈₉	C₂³	1	4	yes	—
320	#126×C₈₉	C₂³	1	4	yes	—
321	#126×C₈₉	C₂³	1	4	yes	—
322	#126×C₈₉	C₂³	1	4	yes	—
323	#126×C₈₉	C₂³	1	4	yes	—
324	#126×C₈₉	C₂³	1	4	yes	—
325	#126×C₈₉	C₂³	1	2	yes	—
326	#126×C₈₉	C₂³	1	2	yes	—
327	#126×C₈₉	C₂³	1	2	yes	—
328	#126×C₈₉	C₂³	1	2	yes	—
329	#126×C₈₉	C₂³	1	2	yes	—
330	#126×C₈₉	C₂³	1	4	yes	—
331	#126×C₈₉	C₂³	1	2	yes	—
332	#126×C₈₉	C₂³	1	2	yes	—
333	#126×C₈₉	C₂³	1	2	yes	—
334	#126×C₈₉	C₂³	1	4	yes	—
335	#126×C₈₉	C₂³	1	4	yes	—
336	#126×C₈₉	C₂³	1	4	yes	—
337	#126×C₈₉	C₂³	1	4	yes	—
338	#126×C₈₉	C₂³	1	4	yes	—
339	#126×C₈₉	C₂³	1	4	yes	—
340	#126×C₈₉	C₂³	1	4	yes	—
341	#126×C₈₉	C₂³	1	4	yes	—
342	#126×C₈₉	C₂³	1	4	yes	—
343	#126×C₈₉	C₂³	1	4	yes	—
344	#126×C₈₉	C₂³	1	4	yes	—
345	#126×C₈₉	C₂³	1	4	yes	—
346	#126×C₈₉	C₂³	1	4	yes	—
347	#126×C₈₉	C₂³	1	4	yes	—
348	#126×C₈₉	C₂³	1	4	yes	—
349	#126×C₈₉	C₂³	1	4	yes	—
350	#125×C₈₉	C₂³	1	1	yes	characteristic
351	#125×C₈₉	C₂³	1	2	yes	—
352	#125×C₈₉	C₂³	1	1	yes	characteristic
353	#125×C₈₉	C₂³	1	2	yes	—
354	#125×C₈₉	C₂³	1	2	yes	—
355	#125×C₈₉	C₂³	1	4	yes	—
356	#125×C₈₉	C₂³	1	4	yes	—
357	#125×C₈₉	C₂³	1	4	yes	—
358	#125×C₈₉	C₂³	1	2	yes	—
359	#125×C₈₉	C₂³	1	2	yes	—
360	#125×C₈₉	C₂³	1	2	yes	—
361	#125×C₈₉	C₂³	1	4	yes	—
362	#125×C₈₉	C₂³	1	2	yes	—
363	#125×C₈₉	C₂³	1	2	yes	—
364	#125×C₈₉	C₂³	1	2	yes	—
365	#125×C₈₉	C₂³	1	1	yes	characteristic
366	#125×C₈₉	C₂³	1	2	yes	—
367	#125×C₈₉	C₂³	1	2	yes	—
368	#125×C₈₉	C₂³	1	4	yes	—
369	#125×C₈₉	C₂³	1	4	yes	—
370	#125×C₈₉	C₂³	1	2	yes	—
371	#125×C₈₉	C₂³	1	2	yes	—
372	#125×C₈₉	C₂³	1	2	yes	—
373	#125×C₈₉	C₂³	1	2	yes	—
374	#125×C₈₉	C₂³	1	2	yes	—
375	#125×C₈₉	C₂³	1	1	yes	characteristic
376	#125×C₈₉	C₂³	1	4	yes	—
377	#125×C₈₉	C₂³	1	4	yes	—
378	#125×C₈₉	C₂³	1	4	yes	—
379	#125×C₈₉	C₂³	1	2	yes	—
380	#125×C₈₉	C₂³	1	2	yes	—
381	#125×C₈₉	C₂³	1	2	yes	—
382	#125×C₈₉	C₂³	1	2	yes	—
383	#125×C₈₉	C₂³	1	2	yes	—
384	#125×C₈₉	C₂³	1	2	yes	—
385	#125×C₈₉	C₂³	1	4	yes	—
386	#125×C₈₉	C₂³	1	4	yes	—
387	#125×C₈₉	C₂³	1	4	yes	—
388	#125×C₈₉	C₂³	1	4	yes	—
389	#125×C₈₉	C₂³	1	4	yes	—
390	#125×C₈₉	C₂³	1	4	yes	—
391	#125×C₈₉	C₂³	1	4	yes	—
392	#125×C₈₉	C₂³	1	4	yes	—
393	#125×C₈₉	C₂³	1	4	yes	—
394	#125×C₈₉	C₂³	1	4	yes	—
395	#125×C₈₉	C₂³	1	4	yes	—
396	#125×C₈₉	C₂³	1	4	yes	—
397	#125×C₈₉	C₂³	1	4	yes	—
398	#125×C₈₉	C₂³	1	4	yes	—
399	#125×C₈₉	C₂³	1	4	yes	—
400	#125×C₈₉	C₂³	1	4	yes	—
401	#125×C₈₉	C₂³	1	4	yes	—
402	#124×C₈₉	C₂³	1	1	yes	characteristic
403	#124×C₈₉	C₂³	1	2	yes	—
404	#124×C₈₉	C₂³	1	4	yes	—
405	#124×C₈₉	C₂³	1	4	yes	—
406	#124×C₈₉	C₂³	1	2	yes	—
407	#124×C₈₉	C₂³	1	2	yes	—
408	#124×C₈₉	C₂³	1	2	yes	—
409	#124×C₈₉	C₂³	1	2	yes	—
410	#124×C₈₉	C₂³	1	1	yes	characteristic
411	#124×C₈₉	C₂³	1	4	yes	—
412	#124×C₈₉	C₂³	1	2	yes	—
413	#124×C₈₉	C₂³	1	4	yes	—
414	#124×C₈₉	C₂³	1	2	yes	—
415	#124×C₈₉	C₂³	1	2	yes	—
416	#124×C₈₉	C₂³	1	2	yes	—
417	#124×C₈₉	C₂³	1	2	yes	—
418	#124×C₈₉	C₂³	1	4	yes	—
419	#124×C₈₉	C₂³	1	4	yes	—
420	#124×C₈₉	C₂³	1	4	yes	—
421	#124×C₈₉	C₂³	1	4	yes	—
422	#124×C₈₉	C₂³	1	4	yes	—
423	#124×C₈₉	C₂³	1	4	yes	—
424	#124×C₈₉	C₂³	1	4	yes	—
425	#123×C₈₉	C₂³	1	2	yes	—
426	#123×C₈₉	C₂³	1	4	yes	—
427	#123×C₈₉	C₂³	1	4	yes	—
428	#123×C₈₉	C₂³	1	4	yes	—
429	#123×C₈₉	C₂³	1	4	yes	—
430	#123×C₈₉	C₂³	1	4	yes	—
431	#123×C₈₉	C₂³	1	4	yes	—
432	#123×C₈₉	C₂³	1	4	yes	—
433	#123×C₈₉	C₂³	1	2	yes	—
434	#123×C₈₉	C₂³	1	4	yes	—
435	#123×C₈₉	C₂³	1	4	yes	—
436	#123×C₈₉	C₂³	1	2	yes	—
437	#123×C₈₉	C₂³	1	4	yes	—
438	#123×C₈₉	C₂³	1	4	yes	—
439	#123×C₈₉	C₂³	1	2	yes	—
440	#123×C₈₉	C₂³	1	2	yes	—
441	#123×C₈₉	C₂³	1	4	yes	—
442	#123×C₈₉	C₂³	1	4	yes	—
443	#123×C₈₉	C₂³	1	4	yes	—
444	#123×C₈₉	C₂³	1	4	yes	—
445	#123×C₈₉	C₂³	1	4	yes	—
446	#123×C₈₉	C₂³	1	4	yes	—
447	#123×C₈₉	C₂³	1	2	yes	—
448	#123×C₈₉	C₂³	1	2	yes	—
449	#123×C₈₉	C₂³	1	2	yes	—
450	#123×C₈₉	C₂³	1	2	yes	—
451	#123×C₈₉	C₂³	1	2	yes	—
452	#123×C₈₉	C₂³	1	4	yes	—
453	#123×C₈₉	C₂³	1	4	yes	—
454	#123×C₈₉	C₂³	1	4	yes	—
455	#123×C₈₉	C₂³	1	4	yes	—
456	#123×C₈₉	C₂³	1	4	yes	—
457	#123×C₈₉	C₂³	1	4	yes	—
458	#123×C₈₉	C₂³	1	4	yes	—
459	#123×C₈₉	C₂³	1	4	yes	—
460	#123×C₈₉	C₂³	1	4	yes	—
461	#123×C₈₉	C₂³	1	4	yes	—
462	#123×C₈₉	C₂³	1	4	yes	—
463	#123×C₈₉	C₂³	1	4	yes	—
464	#123×C₈₉	C₂³	1	4	yes	—
465	#123×C₈₉	C₂³	1	4	yes	—
466	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
467	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
468	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
469	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
470	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
471	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
472	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
473	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
474	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
475	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
476	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
477	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
478	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
479	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
480	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
481	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
482	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
483	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
484	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
485	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
486	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
487	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
488	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
489	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
490	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
491	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
492	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
493	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
494	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
495	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
496	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
497	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
498	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
499	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
500	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
501	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
502	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
503	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
504	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
505	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
506	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
507	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
508	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
509	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
510	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
511	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
512	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
513	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
514	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
515	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
516	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
517	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
518	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
519	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
520	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
521	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
522	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
523	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
524	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
525	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
526	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
527	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
528	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
529	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
530	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
531	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
532	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
533	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
534	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
535	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
536	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
537	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
538	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
539	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
540	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
541	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
542	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
543	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
544	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
545	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
546	#121×C₈₉	C₂³	1	4	yes	—
547	#121×C₈₉	C₂³	1	4	yes	—
548	#121×C₈₉	C₂³	1	2	yes	—
549	#121×C₈₉	C₂³	1	4	yes	—
550	#121×C₈₉	C₂³	1	2	yes	—
551	#121×C₈₉	C₂³	1	1	yes	characteristic
552	#121×C₈₉	C₂³	1	2	yes	—
553	#121×C₈₉	C₂³	1	2	yes	—
554	#121×C₈₉	C₂³	1	1	yes	characteristic
555	#121×C₈₉	C₂³	1	4	yes	—
556	#121×C₈₉	C₂³	1	4	yes	—
557	#121×C₈₉	C₂³	1	2	yes	—
558	#121×C₈₉	C₂³	1	2	yes	—
559	#121×C₈₉	C₂³	1	2	yes	—
560	#121×C₈₉	C₂³	1	2	yes	—
561	#121×C₈₉	C₂³	1	2	yes	—
562	#121×C₈₉	C₂³	1	2	yes	—
563	#121×C₈₉	C₂³	1	2	yes	—
564	#121×C₈₉	C₂³	1	4	yes	—
565	#121×C₈₉	C₂³	1	4	yes	—
566	#121×C₈₉	C₂³	1	4	yes	—
567	#121×C₈₉	C₂³	1	4	yes	—
568	#121×C₈₉	C₂³	1	4	yes	—
569	#120×C₈₉	C₂³	1	4	yes	—
570	#120×C₈₉	C₂³	1	4	yes	—
571	#120×C₈₉	C₂³	1	4	yes	—
572	#120×C₈₉	C₂³	1	4	yes	—
573	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
574	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
575	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
576	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
577	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
578	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
579	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
580	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
581	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
582	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
583	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
584	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
585	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
586	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
587	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
588	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
589	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
590	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
591	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
592	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
593	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
594	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
595	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
596	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
597	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
598	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
599	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
600	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
601	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
602	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
603	C₄×D₄×C₈₉	C₂³	1	2	yes	—
604	C₄×D₄×C₈₉	C₂³	1	2	yes	—
605	C₄×D₄×C₈₉	C₂³	1	4	yes	—
606	C₄×D₄×C₈₉	C₂³	1	4	yes	—
607	C₄×D₄×C₈₉	C₂³	1	2	yes	—
608	C₄×D₄×C₈₉	C₂³	1	2	yes	—
609	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
610	C₄×D₄×C₈₉	C₂³	1	2	yes	—
611	C₄×D₄×C₈₉	C₂³	1	2	yes	—
612	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
613	C₄×D₄×C₈₉	C₂³	1	2	yes	—
614	C₄×D₄×C₈₉	C₂³	1	4	yes	—
615	C₄×D₄×C₈₉	C₂³	1	4	yes	—
616	C₄×D₄×C₈₉	C₂³	1	2	yes	—
617	C₄×D₄×C₈₉	C₂³	1	4	yes	—
618	C₄×D₄×C₈₉	C₂³	1	4	yes	—
619	C₄×D₄×C₈₉	C₂³	1	2	yes	—
620	C₄×D₄×C₈₉	C₂³	1	4	yes	—
621	C₄×D₄×C₈₉	C₂³	1	4	yes	—
622	C₄×D₄×C₈₉	C₂³	1	2	yes	—
623	C₄×D₄×C₈₉	C₂³	1	2	yes	—
624	C₄×D₄×C₈₉	C₂³	1	2	yes	—
625	C₄×D₄×C₈₉	C₂³	1	4	yes	—
626	C₄×D₄×C₈₉	C₂³	1	4	yes	—
627	C₄×D₄×C₈₉	C₂³	1	4	yes	—
628	C₄×D₄×C₈₉	C₂³	1	4	yes	—
629	C₄×D₄×C₈₉	C₂³	1	4	yes	—
630	C₄×D₄×C₈₉	C₂³	1	4	yes	—
631	C₄×D₄×C₈₉	C₂³	1	4	yes	—
632	C₄×D₄×C₈₉	C₂³	1	4	yes	—
633	C₄×D₄×C₈₉	C₂³	1	4	yes	—
634	C₄×D₄×C₈₉	C₂³	1	4	yes	—
635	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
636	C₄×D₄×C₈₉	C₂³	1	2	yes	—
637	C₄×D₄×C₈₉	C₂³	1	2	yes	—
638	C₄×D₄×C₈₉	C₂³	1	2	yes	—
639	C₄×D₄×C₈₉	C₂³	1	2	yes	—
640	C₄×D₄×C₈₉	C₂³	1	4	yes	—
641	C₄×D₄×C₈₉	C₂³	1	2	yes	—
642	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
643	C₄×D₄×C₈₉	C₂³	1	4	yes	—
644	C₄×D₄×C₈₉	C₂³	1	4	yes	—
645	C₄×D₄×C₈₉	C₂³	1	2	yes	—
646	C₄×D₄×C₈₉	C₂³	1	4	yes	—
647	C₄×D₄×C₈₉	C₂³	1	4	yes	—
648	C₄×D₄×C₈₉	C₂³	1	2	yes	—
649	#117×C₈₉	C₂³	1	2	yes	—
650	#117×C₈₉	C₂³	1	4	yes	—
651	#117×C₈₉	C₂³	1	1	yes	characteristic
652	#117×C₈₉	C₂³	1	2	yes	—
653	#117×C₈₉	C₂³	1	2	yes	—
654	#117×C₈₉	C₂³	1	2	yes	—
655	#117×C₈₉	C₂³	1	2	yes	—
656	#117×C₈₉	C₂³	1	2	yes	—
657	#117×C₈₉	C₂³	1	2	yes	—
658	#117×C₈₉	C₂³	1	2	yes	—
659	#117×C₈₉	C₂³	1	1	yes	characteristic
660	#117×C₈₉	C₂³	1	1	yes	characteristic
661	#117×C₈₉	C₂³	1	4	yes	—
662	#117×C₈₉	C₂³	1	4	yes	—
663	#117×C₈₉	C₂³	1	2	yes	—
664	#117×C₈₉	C₂³	1	2	yes	—
665	#117×C₈₉	C₂³	1	4	yes	—
666	#117×C₈₉	C₂³	1	4	yes	—
667	#117×C₈₉	C₂³	1	4	yes	—
668	#117×C₈₉	C₂³	1	4	yes	—
669	#117×C₈₉	C₂³	1	4	yes	—
670	#117×C₈₉	C₂³	1	4	yes	—
671	#117×C₈₉	C₂³	1	4	yes	—
672	#117×C₈₉	C₂³	1	4	yes	—
673	#117×C₈₉	C₂³	1	4	yes	—
674	#117×C₈₉	C₂³	1	4	yes	—
675	#117×C₈₉	C₂³	1	4	yes	—
676	#117×C₈₉	C₂³	1	4	yes	—
677	#117×C₈₉	C₂³	1	2	yes	—
678	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
679	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
680	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
681	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
682	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
683	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
684	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
685	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
686	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
687	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
688	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
689	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
690	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
691	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
692	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
693	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
694	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
695	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
697	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
698	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
699	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
700	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
704	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
706	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
707	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
708	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
709	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
710	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
711	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
712	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
713	#41×C₈₉	—	2	8	no	—
714	#41×C₈₉	—	2	4	no	—
715	#41×C₈₉	—	8	4	no	—
716	#41×C₈₉	—	8	4	no	—
717	#41×C₈₉	—	8	2	no	—
718	C₂×Q₈×C₈₉	—	8	4	no	—
719	C₂×Q₈×C₈₉	—	8	4	no	—
720	C₂×Q₈×C₈₉	—	8	2	no	—
721	C₂×Q₈×C₈₉	—	8	4	no	—
722	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
723	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
724	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
725	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
726	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
727	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
728	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
729	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
730	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
731	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
732	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
733	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
734	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
735	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
736	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
737	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
738	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
739	C₂×D₄×C₈₉	—	2	8	no	—
740	C₂×D₄×C₈₉	—	8	2	no	—
741	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
742	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
743	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
744	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
745	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
746	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
747	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
748	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
749	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
750	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
751	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
752	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
753	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
754	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
755	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
756	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
757	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
758	C₂²×C₄×C₈₉	—	8	4	no	—
759	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
760	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
761	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
762	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
763	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
764	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
765	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
766	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
767	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
768	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
769	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
770	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
771	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
772	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
773	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
774	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
775	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
776	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
777	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
778	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
779	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
780	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
781	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
782	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
783	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
784	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
785	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
786	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
787	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
788	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
789	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
790	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
791	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
792	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
793	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
794	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
795	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
796	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
797	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
798	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
799	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
800	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
801	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
802	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
803	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
804	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
805	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
806	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
807	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
808	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
809	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
810	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
811	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
812	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
813	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
814	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
815	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
816	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
817	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
818	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
819	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
820	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
821	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
822	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
823	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
824	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
825	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
826	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
827	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
828	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
829	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
830	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
831	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
832	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
833	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
834	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
835	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
836	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
837	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
838	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
839	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
840	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
841	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
842	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
844	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
845	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
846	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
847	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
848	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
849	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
850	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
851	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
852	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
854	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
855	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
856	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
857	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
858	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
859	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
860	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
861	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
862	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
863	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
864	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
865	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
866	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
867	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
868	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
869	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
870	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
871	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
872	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
873	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
874	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
875	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
876	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
877	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
878	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
879	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
880	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
881	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
882	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
883	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
884	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
885	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
886	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
887	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
888	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
889	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
890	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
891	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
892	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
893	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
894	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
895	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
896	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
897	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
898	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
899	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
900	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
901	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
902	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
903	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
904	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
905	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
906	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
907	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
908	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
910	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
911	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
912	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
913	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
914	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
915	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
916	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
917	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
918	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
919	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
920	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
921	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
922	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
923	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
924	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
926	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
927	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
928	C₄²×C₈₉	C₂⁴	1	2	yes	—
929	C₄²×C₈₉	C₂⁴	1	2	yes	—
930	C₄²×C₈₉	C₂⁴	1	2	yes	—
931	C₄²×C₈₉	C₂⁴	1	2	yes	—
932	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
933	C₄²×C₈₉	C₂⁴	1	2	yes	—
934	C₄²×C₈₉	C₂⁴	1	2	yes	—
935	C₄²×C₈₉	C₂⁴	1	2	yes	—
936	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
937	C₄²×C₈₉	C₂⁴	1	2	yes	—
938	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
939	C₄²×C₈₉	C₂⁴	1	4	yes	—
940	C₄²×C₈₉	C₂⁴	1	4	yes	—
941	C₄²×C₈₉	C₂⁴	1	4	yes	—
942	C₄²×C₈₉	C₂⁴	1	2	yes	—
943	C₄²×C₈₉	C₂⁴	1	2	yes	—
944	C₄²×C₈₉	C₂⁴	1	2	yes	—
945	C₄²×C₈₉	C₂⁴	1	4	yes	—
946	C₄²×C₈₉	C₂⁴	1	4	yes	—
947	C₄²×C₈₉	C₂⁴	1	4	yes	—
948	C₄²×C₈₉	C₂⁴	1	4	yes	—
949	C₄²×C₈₉	C₂⁴	1	4	yes	—
950	C₄²×C₈₉	C₂⁴	1	4	yes	—
951	C₄²×C₈₉	C₂⁴	1	4	yes	—
952	C₄²×C₈₉	C₂⁴	1	4	yes	—
953	C₂³×C₈₉	—	2	8	no	—
954	C₂³×C₈₉	—	4	4	no	—
955	C₂³×C₈₉	—	4	4	no	—
956	C₂³×C₈₉	C₂⁵	1	2	yes	—
957	C₂³×C₈₉	C₂⁵	1	4	yes	—
958	C₂³×C₈₉	C₂⁵	1	2	yes	—
959	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
960	C₂³×C₈₉	C₂⁵	1	2	yes	—
961	Q₈×C₈₉	—	2	2	no	—
962	Q₈×C₈₉	—	2	4	no	—
963	Q₈×C₈₉	—	4	2	no	—
964	Q₈×C₈₉	—	4	4	no	—
965	Q₈×C₈₉	—	4	2	no	—
966	Q₈×C₈₉	—	4	4	no	—
967	Q₈×C₈₉	—	4	2	no	—
968	Q₈×C₈₉	—	4	4	no	—
969	Q₈×C₈₉	—	4	1	no	—
970	Q₈×C₈₉	—	4	4	no	—
971	Q₈×C₈₉	—	4	4	no	—
972	Q₈×C₈₉	—	4	4	no	—
973	Q₈×C₈₉	—	4	2	no	—
974	Q₈×C₈₉	—	4	1	no	—
975	Q₈×C₈₉	—	4	2	no	—
976	Q₈×C₈₉	—	4	4	no	—
977	Q₈×C₈₉	—	4	2	no	—
978	D₄×C₈₉	—	2	8	no	—
979	D₄×C₈₉	—	2	4	no	—
980	D₄×C₈₉	—	2	8	no	—
981	D₄×C₈₉	—	2	4	no	—
982	D₄×C₈₉	—	4	1	no	—
983	D₄×C₈₉	—	4	2	no	—
984	D₄×C₈₉	—	4	4	no	—
985	D₄×C₈₉	—	4	2	no	—
986	D₄×C₈₉	—	4	4	no	—
987	D₄×C₈₉	—	4	1	no	—
988	D₄×C₈₉	—	4	2	no	—
989	D₄×C₈₉	—	4	2	no	—
990	D₄×C₈₉	—	4	4	no	—
991	D₄×C₈₉	—	4	2	no	—
992	D₄×C₈₉	—	4	2	no	—
993	D₄×C₈₉	—	4	4	no	—
994	D₄×C₈₉	2₋¹⁺⁴	1	4	yes	—
995	C₂×C₄×C₈₉	—	2	4	no	—
996	C₂×C₄×C₈₉	—	2	8	no	—
997	C₂×C₄×C₈₉	—	2	4	no	—
998	C₂×C₄×C₈₉	—	2	2	no	—
999	C₂×C₄×C₈₉	—	2	4	no	—
1000	C₂×C₄×C₈₉	—	4	2	no	—
1001	C₂×C₄×C₈₉	—	4	4	no	—
1002	C₂×C₄×C₈₉	—	4	4	no	—
1003	C₂×C₄×C₈₉	—	4	4	no	—
1004	C₂×C₄×C₈₉	—	4	4	no	—
1005	C₂×C₄×C₈₉	—	4	4	no	—
1006	C₂×C₄×C₈₉	—	4	2	no	—
1007	C₂×C₄×C₈₉	—	4	2	no	—
1008	C₂×C₄×C₈₉	—	4	4	no	—
1009	C₂×C₄×C₈₉	—	4	4	no	—
1010	C₂×C₄×C₈₉	—	4	4	no	—
1011	C₂×C₄×C₈₉	—	4	2	no	—
1012	C₂×C₄×C₈₉	—	4	1	no	—
1013	C₂×C₄×C₈₉	—	4	2	no	—
1014	C₂×C₄×C₈₉	—	4	2	no	—
1015	C₂×C₄×C₈₉	—	4	4	no	—
1016	C₂×C₄×C₈₉	—	4	2	no	—
1017	C₂×C₄×C₈₉	—	4	4	no	—
1018	C₂×C₄×C₈₉	—	4	4	no	—
1019	C₂×C₄×C₈₉	—	4	4	no	—
1020	C₂×C₄×C₈₉	—	4	4	no	—
1021	C₂×C₄×C₈₉	—	4	2	no	—
1022	C₂×C₄×C₈₉	—	4	1	no	—
1023	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1024	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1025	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1026	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1027	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1028	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1029	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1030	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1031	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1032	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1033	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1034	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1035	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1036	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1037	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1038	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1039	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1040	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1041	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1042	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1043	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1044	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1045	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1046	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1047	C₂²×C₈₉	—	2	2	no	—
1048	C₂²×C₈₉	—	2	2	no	—
1049	C₂²×C₈₉	—	2	2	no	—
1050	C₂²×C₈₉	—	2	1	no	—
1051	C₂²×C₈₉	—	2	2	no	—
1052	C₂²×C₈₉	—	2	4	no	—
1053	C₂²×C₈₉	—	2	2	no	—
1054	C₂²×C₈₉	—	2	4	no	—
1055	C₂²×C₈₉	—	2	1	no	—
1056	C₂²×C₈₉	—	2	2	no	—
1057	C₂²×C₈₉	—	2	1	no	—
1058	C₂²×C₈₉	—	2	4	no	—
1059	C₂²×C₈₉	—	2	2	no	—
1060	C₂²×C₈₉	—	2	2	no	—
1061	C₂²×C₈₉	—	8	8	no	—
1062	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	4	yes	—
1063	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
1064	C₄×C₈₉	—	2	1	no	—
1065	C₄×C₈₉	—	2	2	no	—
1066	C₄×C₈₉	—	2	2	no	—
1067	C₄×C₈₉	—	2	4	no	—
1068	C₄×C₈₉	—	2	2	no	—
1069	C₄×C₈₉	—	2	2	no	—
1070	C₄×C₈₉	—	2	4	no	—
1071	C₄×C₈₉	—	2	2	no	—
1072	C₄×C₈₉	—	2	4	no	—
1073	C₄×C₈₉	—	2	1	no	—
1074	C₄×C₈₉	—	2	1	no	—
1075	C₄×C₈₉	—	2	2	no	—
1076	C₄×C₈₉	—	2	4	no	—
1077	C₄×C₈₉	—	2	2	no	—
1078	C₄×C₈₉	—	2	2	no	—
1079	C₄×C₈₉	—	2	4	no	—
1080	C₄×C₈₉	—	2	1	no	—
1081	C₄×C₈₉	—	2	2	no	—
1082	C₄×C₈₉	—	2	2	no	—
1083	C₄×C₈₉	—	2	2	no	—
1084	C₄×C₈₉	—	2	2	no	—
1085	C₄×C₈₉	—	2	1	no	—
1086	C₄×C₈₉	—	2	2	no	—
1087	C₄×C₈₉	C₂×2₋¹⁺⁴	1	2	yes	—
1088	#63058	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
1089	C₂×C₈₉	—	2	4	no	—
1090	C₂×C₈₉	—	4	2	no	—
1091	C₂×C₈₉	—	4	1	no	—
1092	C₂×C₈₉	—	4	4	no	—
1093	C₂×C₈₉	—	4	2	no	—
1094	C₂×C₈₉	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1095	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
1096	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
1097	#3565	C₂×C₈₉	1	2	yes	complemented
1098	#3564	C₂×C₈₉	1	4	yes	complemented
1099	#3564	C₂×C₈₉	1	4	yes	complemented
1100	#3563	C₂×C₈₉	1	1	yes	characteristic, complemented
1101	#3563	C₂×C₈₉	1	2	yes	complemented
1102	#3561	C₂×C₈₉	1	2	yes	complemented
1103	#3559	C₂×C₈₉	1	1	yes	characteristic, complemented
1104	#3557	C₂×C₈₉	1	2	yes	complemented
1105	#3555	C₂×C₈₉	1	2	yes	complemented
1106	#3555	C₂×C₈₉	1	2	yes	complemented
1107	#3553	C₂×C₈₉	1	2	yes	complemented
1108	#3552	C₂×C₈₉	1	4	yes	complemented
1109	#3552	C₂×C₈₉	1	2	yes	complemented
1110	#3550	C₂×C₈₉	1	1	yes	characteristic, complemented
1111	#3544	C₂×C₈₉	1	2	yes	complemented
1112	#3541	C₂×C₈₉	1	4	yes	complemented
1113	#3538	C₂×C₈₉	1	4	yes	complemented
1114	#3535	C₂×C₈₉	1	4	yes	complemented
1115	#3531	C₂×C₈₉	1	1	yes	characteristic, complemented
1116	C₂×#563	C₂×C₈₉	1	2	yes	complemented
1117	#3521	C₂×C₈₉	1	2	yes	complemented
1118	#3521	C₂×C₈₉	1	2	yes	complemented
1119	#3520	C₂×C₈₉	1	2	yes	complemented
1120	#3515	C₂×C₈₉	1	1	yes	characteristic, complemented
1121	#3514	C₂×C₈₉	1	1	yes	characteristic, complemented
1122	#3513	C₂×C₈₉	1	2	yes	complemented
1123	#3504	C₂×C₈₉	1	1	yes	characteristic, complemented
1124	#3503	C₂×C₈₉	1	2	yes	complemented
1125	#3501	C₂×C₈₉	1	2	yes	complemented
1126	C₈₉	#63058	1	1	yes	characteristic, direct product factor, Sylow
1127	#564	C₂²×C₈₉	1	1	yes	characteristic, complemented
1128	#564	C₂²×C₈₉	1	2	yes	complemented
1129	#563	C₂²×C₈₉	1	1	yes	characteristic
1130	#563	C₂²×C₈₉	1	4	yes	—
1131	#563	C₂²×C₈₉	1	2	yes	—
1132	#563	C₂²×C₈₉	1	4	yes	complemented
1133	#563	C₂²×C₈₉	1	4	yes	complemented
1134	#563	C₂²×C₈₉	1	4	yes	complemented
1135	#563	C₂²×C₈₉	1	2	yes	complemented
1136	#563	C₂²×C₈₉	1	4	yes	complemented
1137	#563	C₂²×C₈₉	1	4	yes	complemented
1138	#563	C₂²×C₈₉	1	2	yes	complemented
1139	#563	C₂²×C₈₉	1	2	yes	complemented
1140	#563	C₂²×C₈₉	1	2	yes	complemented
1141	#563	C₂²×C₈₉	1	1	yes	characteristic, complemented
1142	#563	C₂²×C₈₉	1	2	yes	complemented
1143	#563	C₂²×C₈₉	1	2	yes	complemented
1144	#563	C₂²×C₈₉	1	4	yes	complemented
1145	#563	C₂²×C₈₉	1	4	yes	complemented
1146	#563	C₂²×C₈₉	1	4	yes	complemented
1147	#563	C₂²×C₈₉	1	2	yes	complemented
1148	#563	C₂²×C₈₉	1	4	yes	complemented
1149	#563	C₂²×C₈₉	1	4	yes	complemented
1150	#562	C₂²×C₈₉	1	2	yes	—
1151	#562	C₂²×C₈₉	1	1	yes	characteristic
1152	#562	C₂²×C₈₉	1	2	yes	complemented
1153	#562	C₂²×C₈₉	1	4	yes	complemented
1154	#562	C₂²×C₈₉	1	2	yes	complemented
1155	#559	C₂²×C₈₉	1	2	yes	—
1156	#559	C₂²×C₈₉	1	1	yes	characteristic
1157	Q₈²	C₂²×C₈₉	1	2	yes	complemented
1158	Q₈²	C₂²×C₈₉	1	2	yes	complemented
1159	#557	C₂²×C₈₉	1	2	yes	complemented
1160	#557	C₂²×C₈₉	1	2	yes	complemented
1161	#557	C₂²×C₈₉	1	2	yes	complemented
1162	#557	C₂²×C₈₉	1	2	yes	complemented
1163	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
1164	#557	C₂²×C₈₉	1	4	yes	complemented
1165	#556	C₂²×C₈₉	1	1	yes	characteristic
1166	#556	C₂²×C₈₉	1	2	yes	complemented
1167	#556	C₂²×C₈₉	1	2	yes	complemented
1168	#556	C₂²×C₈₉	1	2	yes	complemented
1169	#556	C₂²×C₈₉	1	2	yes	complemented
1170	#556	C₂²×C₈₉	1	2	yes	complemented
1171	#556	C₂²×C₈₉	1	4	yes	complemented
1172	#556	C₂²×C₈₉	1	2	yes	complemented
1173	#556	C₂²×C₈₉	1	4	yes	complemented
1174	#556	C₂²×C₈₉	1	4	yes	complemented
1175	#555	C₂²×C₈₉	1	2	yes	—
1176	#554	C₂²×C₈₉	1	1	yes	characteristic
1177	#554	C₂²×C₈₉	1	2	yes	—
1178	#554	C₂²×C₈₉	1	2	yes	—
1179	#554	C₂²×C₈₉	1	2	yes	—
1180	#554	C₂²×C₈₉	1	4	yes	complemented
1181	#554	C₂²×C₈₉	1	2	yes	complemented
1182	#554	C₂²×C₈₉	1	4	yes	complemented
1183	#554	C₂²×C₈₉	1	4	yes	complemented
1184	#554	C₂²×C₈₉	1	2	yes	complemented
1185	#554	C₂²×C₈₉	1	2	yes	complemented
1186	#554	C₂²×C₈₉	1	4	yes	complemented
1187	#554	C₂²×C₈₉	1	4	yes	complemented
1188	#554	C₂²×C₈₉	1	4	yes	complemented
1189	#554	C₂²×C₈₉	1	4	yes	complemented
1190	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
1191	#554	C₂²×C₈₉	1	2	yes	complemented
1192	#554	C₂²×C₈₉	1	2	yes	complemented
1193	#553	C₂²×C₈₉	1	4	yes	—
1194	#553	C₂²×C₈₉	1	2	yes	—
1195	#553	C₂²×C₈₉	1	2	yes	complemented
1196	#553	C₂²×C₈₉	1	4	yes	complemented
1197	#553	C₂²×C₈₉	1	4	yes	complemented
1198	#553	C₂²×C₈₉	1	2	yes	complemented
1199	#553	C₂²×C₈₉	1	2	yes	complemented
1200	#552	C₂²×C₈₉	1	2	yes	—
1201	#552	C₂²×C₈₉	1	4	yes	complemented
1202	#552	C₂²×C₈₉	1	2	yes	complemented
1203	#552	C₂²×C₈₉	1	2	yes	complemented
1204	#552	C₂²×C₈₉	1	4	yes	complemented
1205	#552	C₂²×C₈₉	1	4	yes	complemented
1206	#552	C₂²×C₈₉	1	2	yes	complemented
1207	#552	C₂²×C₈₉	1	4	yes	complemented
1208	#552	C₂²×C₈₉	1	2	yes	complemented
1209	#552	C₂²×C₈₉	1	4	yes	complemented
1210	#552	C₂²×C₈₉	1	4	yes	complemented
1211	#552	C₂²×C₈₉	1	4	yes	complemented
1212	#552	C₂²×C₈₉	1	4	yes	complemented
1213	#552	C₂²×C₈₉	1	4	yes	complemented
1214	#552	C₂²×C₈₉	1	4	yes	complemented
1215	#551	C₂²×C₈₉	1	4	yes	—
1216	#551	C₂²×C₈₉	1	4	yes	—
1217	#551	C₂²×C₈₉	1	4	yes	—
1218	#551	C₂²×C₈₉	1	4	yes	complemented
1219	#551	C₂²×C₈₉	1	4	yes	complemented
1220	#551	C₂²×C₈₉	1	4	yes	complemented
1221	#551	C₂²×C₈₉	1	4	yes	complemented
1222	#551	C₂²×C₈₉	1	4	yes	complemented
1223	#551	C₂²×C₈₉	1	4	yes	complemented
1224	D₄×Q₈	C₂²×C₈₉	1	2	yes	—
1225	D₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic
1226	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1227	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1228	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1229	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1230	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1231	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1232	#548	C₂²×C₈₉	1	2	yes	—
1233	#548	C₂²×C₈₉	1	4	yes	complemented
1234	#548	C₂²×C₈₉	1	4	yes	complemented
1235	#547	C₂²×C₈₉	1	2	yes	—
1236	#547	C₂²×C₈₉	1	2	yes	—
1237	#547	C₂²×C₈₉	1	1	yes	characteristic
1238	#547	C₂²×C₈₉	1	2	yes	complemented
1239	#547	C₂²×C₈₉	1	4	yes	complemented
1240	#547	C₂²×C₈₉	1	4	yes	complemented
1241	#546	C₂²×C₈₉	1	2	yes	—
1242	#546	C₂²×C₈₉	1	2	yes	—
1243	#546	C₂²×C₈₉	1	4	yes	—
1244	#546	C₂²×C₈₉	1	2	yes	—
1245	#546	C₂²×C₈₉	1	2	yes	—
1246	D₄²	C₂²×C₈₉	1	1	yes	characteristic
1247	#544	C₂²×C₈₉	1	2	yes	complemented
1248	#544	C₂²×C₈₉	1	2	yes	complemented
1249	#544	C₂²×C₈₉	1	4	yes	complemented
1250	#544	C₂²×C₈₉	1	4	yes	complemented
1251	#544	C₂²×C₈₉	1	2	yes	complemented
1252	#544	C₂²×C₈₉	1	2	yes	complemented
1253	#544	C₂²×C₈₉	1	2	yes	complemented
1254	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
1255	#544	C₂²×C₈₉	1	2	yes	complemented
1256	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
1257	#544	C₂²×C₈₉	1	4	yes	complemented
1258	#544	C₂²×C₈₉	1	4	yes	complemented
1259	#544	C₂²×C₈₉	1	2	yes	complemented
1260	#543	C₂²×C₈₉	1	4	yes	complemented
1261	#543	C₂²×C₈₉	1	4	yes	complemented
1262	#542	C₂²×C₈₉	1	2	yes	—
1263	#542	C₂²×C₈₉	1	2	yes	—
1264	#542	C₂²×C₈₉	1	4	yes	—
1265	#542	C₂²×C₈₉	1	2	yes	complemented
1266	#542	C₂²×C₈₉	1	2	yes	complemented
1267	#542	C₂²×C₈₉	1	2	yes	complemented
1268	#542	C₂²×C₈₉	1	2	yes	complemented
1269	#542	C₂²×C₈₉	1	4	yes	complemented
1270	#542	C₂²×C₈₉	1	4	yes	complemented
1271	#542	C₂²×C₈₉	1	4	yes	complemented
1272	#542	C₂²×C₈₉	1	4	yes	complemented
1273	#542	C₂²×C₈₉	1	4	yes	complemented
1274	#542	C₂²×C₈₉	1	4	yes	complemented
1275	#541	C₂²×C₈₉	1	2	yes	complemented
1276	#541	C₂²×C₈₉	1	2	yes	complemented
1277	#541	C₂²×C₈₉	1	2	yes	complemented
1278	#541	C₂²×C₈₉	1	4	yes	complemented
1279	#541	C₂²×C₈₉	1	4	yes	complemented
1280	#541	C₂²×C₈₉	1	4	yes	complemented
1281	#541	C₂²×C₈₉	1	4	yes	complemented
1282	#541	C₂²×C₈₉	1	4	yes	complemented
1283	#541	C₂²×C₈₉	1	4	yes	complemented
1284	#541	C₂²×C₈₉	1	4	yes	complemented
1285	#541	C₂²×C₈₉	1	4	yes	complemented
1286	#541	C₂²×C₈₉	1	4	yes	complemented
1287	#540	C₂²×C₈₉	1	2	yes	—
1288	#539	C₂²×C₈₉	1	4	yes	—
1289	#539	C₂²×C₈₉	1	2	yes	—
1290	#539	C₂²×C₈₉	1	4	yes	complemented
1291	#539	C₂²×C₈₉	1	4	yes	complemented
1292	#539	C₂²×C₈₉	1	4	yes	complemented
1293	#539	C₂²×C₈₉	1	4	yes	complemented
1294	#539	C₂²×C₈₉	1	4	yes	complemented
1295	#539	C₂²×C₈₉	1	4	yes	complemented
1296	#539	C₂²×C₈₉	1	4	yes	complemented
1297	#539	C₂²×C₈₉	1	4	yes	complemented
1298	#539	C₂²×C₈₉	1	4	yes	complemented
1299	#539	C₂²×C₈₉	1	4	yes	complemented
1300	#539	C₂²×C₈₉	1	4	yes	complemented
1301	#539	C₂²×C₈₉	1	2	yes	complemented
1302	#538	C₂²×C₈₉	1	4	yes	—
1303	#538	C₂²×C₈₉	1	4	yes	—
1304	#538	C₂²×C₈₉	1	4	yes	complemented
1305	#538	C₂²×C₈₉	1	4	yes	complemented
1306	#537	C₂²×C₈₉	1	2	yes	complemented
1307	#536	C₂²×C₈₉	1	4	yes	complemented
1308	#536	C₂²×C₈₉	1	4	yes	complemented
1309	#536	C₂²×C₈₉	1	4	yes	complemented
1310	#536	C₂²×C₈₉	1	4	yes	complemented
1311	#533	C₂²×C₈₉	1	2	yes	complemented
1312	#533	C₂²×C₈₉	1	2	yes	complemented
1313	#533	C₂²×C₈₉	1	2	yes	complemented
1314	#533	C₂²×C₈₉	1	4	yes	complemented
1315	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1316	#533	C₂²×C₈₉	1	2	yes	complemented
1317	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1318	#533	C₂²×C₈₉	1	2	yes	complemented
1319	#532	C₂²×C₈₉	1	1	yes	characteristic
1320	C₂×C₄⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1321	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1322	#529	C₂²×C₈₉	1	2	yes	—
1323	#529	C₂²×C₈₉	1	2	yes	—
1324	#529	C₂²×C₈₉	1	1	yes	characteristic
1325	#529	C₂²×C₈₉	1	2	yes	—
1326	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1327	#529	C₂²×C₈₉	1	2	yes	complemented
1328	#529	C₂²×C₈₉	1	2	yes	complemented
1329	#529	C₂²×C₈₉	1	2	yes	complemented
1330	#529	C₂²×C₈₉	1	2	yes	complemented
1331	#529	C₂²×C₈₉	1	2	yes	complemented
1332	#529	C₂²×C₈₉	1	2	yes	complemented
1333	#529	C₂²×C₈₉	1	4	yes	complemented
1334	#529	C₂²×C₈₉	1	4	yes	complemented
1335	C₂×#126	C₂²×C₈₉	1	4	yes	complemented
1336	C₂×#126	C₂²×C₈₉	1	4	yes	complemented
1337	C₂×#125	C₂²×C₈₉	1	2	yes	complemented
1338	C₂×#125	C₂²×C₈₉	1	1	yes	characteristic, complemented
1339	C₂×#125	C₂²×C₈₉	1	2	yes	complemented
1340	C₂×#124	C₂²×C₈₉	1	2	yes	—
1341	#525	C₂²×C₈₉	1	4	yes	—
1342	#525	C₂²×C₈₉	1	4	yes	complemented
1343	C₂×#123	C₂²×C₈₉	1	4	yes	—
1344	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1345	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1346	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1347	#520	C₂²×C₈₉	1	2	yes	—
1348	#520	C₂²×C₈₉	1	2	yes	—
1349	#520	C₂²×C₈₉	1	1	yes	characteristic
1350	#520	C₂²×C₈₉	1	1	yes	characteristic
1351	#518	C₂²×C₈₉	1	2	yes	—
1352	#518	C₂²×C₈₉	1	2	yes	—
1353	C₄×#41	C₂²×C₈₉	1	2	yes	—
1354	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
1355	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	—
1356	C₂×#41	C₂³×C₈₉	1	2	yes	—
1357	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1358	C₂×#41	C₂³×C₈₉	1	4	yes	—
1359	C₂×#41	C₂³×C₈₉	1	4	yes	—
1360	C₂×#41	C₂³×C₈₉	1	2	yes	—
1361	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1362	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1363	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1364	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1365	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1366	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1367	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1368	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1369	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1370	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1371	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1372	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1373	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1374	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1375	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1376	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1377	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1378	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1379	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1380	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1381	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1382	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1383	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1384	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1385	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1386	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1387	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1388	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1389	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1390	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1391	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1392	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1393	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1394	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1395	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1396	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1397	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1398	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1399	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1400	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1401	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1402	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1403	#127	C₂³×C₈₉	1	1	yes	characteristic
1404	#126	C₂³×C₈₉	1	2	yes	—
1405	#126	C₂³×C₈₉	1	2	yes	—
1406	#126	C₂³×C₈₉	1	4	yes	—
1407	#126	C₂³×C₈₉	1	4	yes	—
1408	#126	C₂³×C₈₉	1	4	yes	—
1409	#126	C₂³×C₈₉	1	4	yes	—
1410	#126	C₂³×C₈₉	1	4	yes	—
1411	#126	C₂³×C₈₉	1	4	yes	—
1412	#126	C₂³×C₈₉	1	4	yes	—
1413	#126	C₂³×C₈₉	1	4	yes	—
1414	#126	C₂³×C₈₉	1	4	yes	—
1415	#126	C₂³×C₈₉	1	4	yes	—
1416	#126	C₂³×C₈₉	1	4	yes	—
1417	#126	C₂³×C₈₉	1	4	yes	—
1418	#126	C₂³×C₈₉	1	4	yes	—
1419	#126	C₂³×C₈₉	1	4	yes	—
1420	#126	C₂³×C₈₉	1	4	yes	—
1421	#126	C₂³×C₈₉	1	4	yes	—
1422	#126	C₂³×C₈₉	1	2	yes	—
1423	#126	C₂³×C₈₉	1	2	yes	—
1424	#126	C₂³×C₈₉	1	2	yes	—
1425	#126	C₂³×C₈₉	1	2	yes	—
1426	#126	C₂³×C₈₉	1	2	yes	—
1427	#126	C₂³×C₈₉	1	4	yes	—
1428	#126	C₂³×C₈₉	1	2	yes	—
1429	#126	C₂³×C₈₉	1	2	yes	—
1430	#126	C₂³×C₈₉	1	2	yes	—
1431	#126	C₂³×C₈₉	1	4	yes	—
1432	#126	C₂³×C₈₉	1	4	yes	—
1433	#126	C₂³×C₈₉	1	4	yes	—
1434	#126	C₂³×C₈₉	1	4	yes	—
1435	#126	C₂³×C₈₉	1	4	yes	—
1436	#126	C₂³×C₈₉	1	4	yes	—
1437	#126	C₂³×C₈₉	1	4	yes	—
1438	#126	C₂³×C₈₉	1	4	yes	—
1439	#126	C₂³×C₈₉	1	4	yes	—
1440	#126	C₂³×C₈₉	1	4	yes	—
1441	#126	C₂³×C₈₉	1	4	yes	—
1442	#126	C₂³×C₈₉	1	4	yes	—
1443	#126	C₂³×C₈₉	1	4	yes	—
1444	#126	C₂³×C₈₉	1	4	yes	—
1445	#126	C₂³×C₈₉	1	4	yes	—
1446	#126	C₂³×C₈₉	1	4	yes	—
1447	#125	C₂³×C₈₉	1	1	yes	characteristic
1448	#125	C₂³×C₈₉	1	2	yes	—
1449	#125	C₂³×C₈₉	1	1	yes	characteristic
1450	#125	C₂³×C₈₉	1	2	yes	—
1451	#125	C₂³×C₈₉	1	2	yes	—
1452	#125	C₂³×C₈₉	1	4	yes	—
1453	#125	C₂³×C₈₉	1	4	yes	—
1454	#125	C₂³×C₈₉	1	4	yes	—
1455	#125	C₂³×C₈₉	1	2	yes	—
1456	#125	C₂³×C₈₉	1	2	yes	—
1457	#125	C₂³×C₈₉	1	2	yes	—
1458	#125	C₂³×C₈₉	1	4	yes	—
1459	#125	C₂³×C₈₉	1	2	yes	—
1460	#125	C₂³×C₈₉	1	2	yes	—
1461	#125	C₂³×C₈₉	1	2	yes	—
1462	#125	C₂³×C₈₉	1	1	yes	characteristic
1463	#125	C₂³×C₈₉	1	2	yes	—
1464	#125	C₂³×C₈₉	1	2	yes	—
1465	#125	C₂³×C₈₉	1	4	yes	—
1466	#125	C₂³×C₈₉	1	4	yes	—
1467	#125	C₂³×C₈₉	1	2	yes	—
1468	#125	C₂³×C₈₉	1	2	yes	—
1469	#125	C₂³×C₈₉	1	2	yes	—
1470	#125	C₂³×C₈₉	1	2	yes	—
1471	#125	C₂³×C₈₉	1	2	yes	—
1472	#125	C₂³×C₈₉	1	1	yes	characteristic
1473	#125	C₂³×C₈₉	1	4	yes	—
1474	#125	C₂³×C₈₉	1	4	yes	—
1475	#125	C₂³×C₈₉	1	4	yes	—
1476	#125	C₂³×C₈₉	1	2	yes	—
1477	#125	C₂³×C₈₉	1	2	yes	—
1478	#125	C₂³×C₈₉	1	2	yes	—
1479	#125	C₂³×C₈₉	1	2	yes	—
1480	#125	C₂³×C₈₉	1	2	yes	—
1481	#125	C₂³×C₈₉	1	2	yes	—
1482	#125	C₂³×C₈₉	1	4	yes	—
1483	#125	C₂³×C₈₉	1	4	yes	—
1484	#125	C₂³×C₈₉	1	4	yes	—
1485	#125	C₂³×C₈₉	1	4	yes	—
1486	#125	C₂³×C₈₉	1	4	yes	—
1487	#125	C₂³×C₈₉	1	4	yes	—
1488	#125	C₂³×C₈₉	1	4	yes	—
1489	#125	C₂³×C₈₉	1	4	yes	—
1490	#125	C₂³×C₈₉	1	4	yes	—
1491	#125	C₂³×C₈₉	1	4	yes	—
1492	#125	C₂³×C₈₉	1	4	yes	—
1493	#125	C₂³×C₈₉	1	4	yes	—
1494	#125	C₂³×C₈₉	1	4	yes	—
1495	#125	C₂³×C₈₉	1	4	yes	—
1496	#125	C₂³×C₈₉	1	4	yes	—
1497	#125	C₂³×C₈₉	1	4	yes	—
1498	#125	C₂³×C₈₉	1	4	yes	—
1499	#124	C₂³×C₈₉	1	1	yes	characteristic
1500	#124	C₂³×C₈₉	1	2	yes	—
1501	#124	C₂³×C₈₉	1	4	yes	—
1502	#124	C₂³×C₈₉	1	4	yes	—
1503	#124	C₂³×C₈₉	1	2	yes	—
1504	#124	C₂³×C₈₉	1	2	yes	—
1505	#124	C₂³×C₈₉	1	2	yes	—
1506	#124	C₂³×C₈₉	1	2	yes	—
1507	#124	C₂³×C₈₉	1	1	yes	characteristic
1508	#124	C₂³×C₈₉	1	4	yes	—
1509	#124	C₂³×C₈₉	1	2	yes	—
1510	#124	C₂³×C₈₉	1	4	yes	—
1511	#124	C₂³×C₈₉	1	2	yes	—
1512	#124	C₂³×C₈₉	1	2	yes	—
1513	#124	C₂³×C₈₉	1	2	yes	—
1514	#124	C₂³×C₈₉	1	2	yes	—
1515	#124	C₂³×C₈₉	1	4	yes	—
1516	#124	C₂³×C₈₉	1	4	yes	—
1517	#124	C₂³×C₈₉	1	4	yes	—
1518	#124	C₂³×C₈₉	1	4	yes	—
1519	#124	C₂³×C₈₉	1	4	yes	—
1520	#124	C₂³×C₈₉	1	4	yes	—
1521	#124	C₂³×C₈₉	1	4	yes	—
1522	#123	C₂³×C₈₉	1	2	yes	—
1523	#123	C₂³×C₈₉	1	4	yes	—
1524	#123	C₂³×C₈₉	1	4	yes	—
1525	#123	C₂³×C₈₉	1	4	yes	—
1526	#123	C₂³×C₈₉	1	4	yes	—
1527	#123	C₂³×C₈₉	1	4	yes	—
1528	#123	C₂³×C₈₉	1	4	yes	—
1529	#123	C₂³×C₈₉	1	4	yes	—
1530	#123	C₂³×C₈₉	1	2	yes	—
1531	#123	C₂³×C₈₉	1	4	yes	—
1532	#123	C₂³×C₈₉	1	4	yes	—
1533	#123	C₂³×C₈₉	1	2	yes	—
1534	#123	C₂³×C₈₉	1	4	yes	—
1535	#123	C₂³×C₈₉	1	4	yes	—
1536	#123	C₂³×C₈₉	1	2	yes	—
1537	#123	C₂³×C₈₉	1	2	yes	—
1538	#123	C₂³×C₈₉	1	4	yes	—
1539	#123	C₂³×C₈₉	1	4	yes	—
1540	#123	C₂³×C₈₉	1	4	yes	—
1541	#123	C₂³×C₈₉	1	4	yes	—
1542	#123	C₂³×C₈₉	1	4	yes	—
1543	#123	C₂³×C₈₉	1	4	yes	—
1544	#123	C₂³×C₈₉	1	2	yes	—
1545	#123	C₂³×C₈₉	1	2	yes	—
1546	#123	C₂³×C₈₉	1	2	yes	—
1547	#123	C₂³×C₈₉	1	2	yes	—
1548	#123	C₂³×C₈₉	1	2	yes	—
1549	#123	C₂³×C₈₉	1	4	yes	—
1550	#123	C₂³×C₈₉	1	4	yes	—
1551	#123	C₂³×C₈₉	1	4	yes	—
1552	#123	C₂³×C₈₉	1	4	yes	—
1553	#123	C₂³×C₈₉	1	4	yes	—
1554	#123	C₂³×C₈₉	1	4	yes	—
1555	#123	C₂³×C₈₉	1	4	yes	—
1556	#123	C₂³×C₈₉	1	4	yes	—
1557	#123	C₂³×C₈₉	1	4	yes	—
1558	#123	C₂³×C₈₉	1	4	yes	—
1559	#123	C₂³×C₈₉	1	4	yes	—
1560	#123	C₂³×C₈₉	1	4	yes	—
1561	#123	C₂³×C₈₉	1	4	yes	—
1562	#123	C₂³×C₈₉	1	4	yes	—
1563	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1564	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1565	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1566	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1567	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1568	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1569	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1570	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1571	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1572	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1573	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1574	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1575	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1576	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1577	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1578	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1579	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1580	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1581	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1582	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1583	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1584	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1585	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1586	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1587	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1588	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1589	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1590	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1591	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1592	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1593	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1594	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1595	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1596	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1597	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1598	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1599	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1600	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1601	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1602	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1603	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1604	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1605	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1606	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1607	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1608	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1609	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1610	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1611	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1612	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1613	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1614	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1615	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1616	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1617	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1618	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1619	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1620	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1621	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1622	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1623	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1624	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1625	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1626	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1627	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1628	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1629	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1630	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1631	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1632	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1633	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1634	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1635	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1636	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1637	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1638	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1639	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1640	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1641	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1642	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1643	#121	C₂³×C₈₉	1	4	yes	—
1644	#121	C₂³×C₈₉	1	4	yes	—
1645	#121	C₂³×C₈₉	1	2	yes	—
1646	#121	C₂³×C₈₉	1	4	yes	—
1647	#121	C₂³×C₈₉	1	2	yes	—
1648	#121	C₂³×C₈₉	1	1	yes	characteristic
1649	#121	C₂³×C₈₉	1	2	yes	—
1650	#121	C₂³×C₈₉	1	2	yes	—
1651	#121	C₂³×C₈₉	1	1	yes	characteristic
1652	#121	C₂³×C₈₉	1	4	yes	—
1653	#121	C₂³×C₈₉	1	4	yes	—
1654	#121	C₂³×C₈₉	1	2	yes	—
1655	#121	C₂³×C₈₉	1	2	yes	—
1656	#121	C₂³×C₈₉	1	2	yes	—
1657	#121	C₂³×C₈₉	1	2	yes	—
1658	#121	C₂³×C₈₉	1	2	yes	—
1659	#121	C₂³×C₈₉	1	2	yes	—
1660	#121	C₂³×C₈₉	1	2	yes	—
1661	#121	C₂³×C₈₉	1	4	yes	—
1662	#121	C₂³×C₈₉	1	4	yes	—
1663	#121	C₂³×C₈₉	1	4	yes	—
1664	#121	C₂³×C₈₉	1	4	yes	—
1665	#121	C₂³×C₈₉	1	4	yes	—
1666	#120	C₂³×C₈₉	1	4	yes	—
1667	#120	C₂³×C₈₉	1	4	yes	—
1668	#120	C₂³×C₈₉	1	4	yes	—
1669	#120	C₂³×C₈₉	1	4	yes	—
1670	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1671	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1672	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1673	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1674	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1675	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1676	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1677	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1678	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1679	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1680	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1681	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1682	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1683	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1684	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1685	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1686	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1687	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1688	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1689	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1690	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1691	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1692	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1693	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1694	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1695	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1696	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1697	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1698	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1699	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1700	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1701	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1702	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1703	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1704	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1705	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1706	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1707	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1708	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1709	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1710	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1711	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1712	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1713	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1714	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1715	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1716	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1717	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1718	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1719	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1720	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1721	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1722	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1723	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1724	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1725	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1726	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1727	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1728	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1729	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1730	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1731	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1732	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1733	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1734	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1735	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1736	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1737	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1738	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1739	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1740	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1741	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1742	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1743	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1744	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1745	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1746	#117	C₂³×C₈₉	1	2	yes	—
1747	#117	C₂³×C₈₉	1	4	yes	—
1748	#117	C₂³×C₈₉	1	1	yes	characteristic
1749	#117	C₂³×C₈₉	1	2	yes	—
1750	#117	C₂³×C₈₉	1	2	yes	—
1751	#117	C₂³×C₈₉	1	2	yes	—
1752	#117	C₂³×C₈₉	1	2	yes	—
1753	#117	C₂³×C₈₉	1	2	yes	—
1754	#117	C₂³×C₈₉	1	2	yes	—
1755	#117	C₂³×C₈₉	1	2	yes	—
1756	#117	C₂³×C₈₉	1	1	yes	characteristic
1757	#117	C₂³×C₈₉	1	1	yes	characteristic
1758	#117	C₂³×C₈₉	1	4	yes	—
1759	#117	C₂³×C₈₉	1	4	yes	—
1760	#117	C₂³×C₈₉	1	2	yes	—
1761	#117	C₂³×C₈₉	1	2	yes	—
1762	#117	C₂³×C₈₉	1	4	yes	—
1763	#117	C₂³×C₈₉	1	4	yes	—
1764	#117	C₂³×C₈₉	1	4	yes	—
1765	#117	C₂³×C₈₉	1	4	yes	—
1766	#117	C₂³×C₈₉	1	4	yes	—
1767	#117	C₂³×C₈₉	1	4	yes	—
1768	#117	C₂³×C₈₉	1	4	yes	—
1769	#117	C₂³×C₈₉	1	4	yes	—
1770	#117	C₂³×C₈₉	1	4	yes	—
1771	#117	C₂³×C₈₉	1	4	yes	—
1772	#117	C₂³×C₈₉	1	4	yes	—
1773	#117	C₂³×C₈₉	1	4	yes	—
1774	#117	C₂³×C₈₉	1	2	yes	—
1775	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1776	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1777	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1778	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1779	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1780	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1781	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1782	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1783	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1784	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1785	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1786	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1787	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1788	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1789	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1790	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1791	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1792	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1793	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1794	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1795	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1796	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1797	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1798	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1799	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1800	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1801	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1802	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1803	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1804	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1805	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1806	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1807	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1808	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1809	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1810	#41	—	2	8	no	—
1811	#41	—	2	4	no	—
1812	#41	—	8	4	no	—
1813	#41	—	8	4	no	—
1814	#41	—	8	2	no	—
1815	C₂×Q₈	—	8	4	no	—
1816	C₂×Q₈	—	8	4	no	—
1817	C₂×Q₈	—	8	2	no	—
1818	C₂×Q₈	—	8	4	no	—
1819	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1820	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1821	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1822	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1823	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1824	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1825	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1826	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1827	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1828	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1829	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1830	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1831	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1832	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1833	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1834	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1835	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1836	C₂×D₄	—	2	8	no	—
1837	C₂×D₄	—	8	2	no	—
1838	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1839	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1840	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1841	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1842	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1843	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1844	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1845	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1846	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1847	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1848	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1849	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1850	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1851	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1852	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1853	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1854	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1855	C₂²×C₄	—	8	4	no	—
1856	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1857	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1858	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1859	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1860	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1861	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1862	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1863	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1864	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1865	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1866	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1867	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1868	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1869	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1870	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1871	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1872	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1873	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1874	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1875	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1876	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1877	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1878	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1879	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1880	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1881	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1882	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1883	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1884	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1885	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1886	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1887	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1888	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1889	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1890	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1891	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1892	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1893	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1894	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1895	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1896	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1897	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1898	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1899	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1900	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1901	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1902	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1903	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1904	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1905	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1906	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1907	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1908	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1909	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1910	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1911	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1912	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1913	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1914	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1915	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1916	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1917	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1918	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1919	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1920	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1921	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1922	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1923	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1924	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1925	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1926	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1927	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1928	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1929	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1930	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1931	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1932	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1933	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1934	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1935	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1936	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1937	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1938	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1939	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1940	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1941	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1942	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1943	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1944	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1945	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1946	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1947	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1948	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1949	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1950	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1951	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1952	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1953	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1954	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1955	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1956	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1957	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1958	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1959	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1960	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1961	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1962	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1963	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1964	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1965	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1966	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1967	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1968	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1969	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1970	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1971	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1972	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1973	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1974	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1975	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1976	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1977	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1978	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1979	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1980	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1981	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1982	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1983	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1984	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1985	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1986	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1987	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1988	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1989	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1990	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1991	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1992	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1993	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1994	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1995	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1996	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1997	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1998	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1999	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2000	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2001	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2002	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2003	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2004	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2005	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2006	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2007	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2008	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2009	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2010	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2011	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2012	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2013	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2014	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2015	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2016	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2017	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2018	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2019	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2020	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2021	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2022	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2023	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2024	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2025	C₄²	C₂⁴×C₈₉	1	2	yes	—
2026	C₄²	C₂⁴×C₈₉	1	2	yes	—
2027	C₄²	C₂⁴×C₈₉	1	2	yes	—
2028	C₄²	C₂⁴×C₈₉	1	2	yes	—
2029	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2030	C₄²	C₂⁴×C₈₉	1	2	yes	—
2031	C₄²	C₂⁴×C₈₉	1	2	yes	—
2032	C₄²	C₂⁴×C₈₉	1	2	yes	—
2033	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2034	C₄²	C₂⁴×C₈₉	1	2	yes	—
2035	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2036	C₄²	C₂⁴×C₈₉	1	4	yes	—
2037	C₄²	C₂⁴×C₈₉	1	4	yes	—
2038	C₄²	C₂⁴×C₈₉	1	4	yes	—
2039	C₄²	C₂⁴×C₈₉	1	2	yes	—
2040	C₄²	C₂⁴×C₈₉	1	2	yes	—
2041	C₄²	C₂⁴×C₈₉	1	2	yes	—
2042	C₄²	C₂⁴×C₈₉	1	4	yes	—
2043	C₄²	C₂⁴×C₈₉	1	4	yes	—
2044	C₄²	C₂⁴×C₈₉	1	4	yes	—
2045	C₄²	C₂⁴×C₈₉	1	4	yes	—
2046	C₄²	C₂⁴×C₈₉	1	4	yes	—
2047	C₄²	C₂⁴×C₈₉	1	4	yes	—
2048	C₄²	C₂⁴×C₈₉	1	4	yes	—
2049	C₄²	C₂⁴×C₈₉	1	4	yes	—
2050	C₂³	—	2	8	no	—
2051	C₂³	—	4	4	no	—
2052	C₂³	—	4	4	no	—
2053	C₂³	C₂⁵×C₈₉	1	2	yes	—
2054	C₂³	C₂⁵×C₈₉	1	4	yes	—
2055	C₂³	C₂⁵×C₈₉	1	2	yes	—
2056	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
2057	C₂³	C₂⁵×C₈₉	1	2	yes	—
2058	Q₈	—	2	2	no	—
2059	Q₈	—	2	4	no	—
2060	Q₈	—	4	2	no	—
2061	Q₈	—	4	4	no	—
2062	Q₈	—	4	2	no	—
2063	Q₈	—	4	4	no	—
2064	Q₈	—	4	2	no	—
2065	Q₈	—	4	4	no	—
2066	Q₈	—	4	1	no	—
2067	Q₈	—	4	4	no	—
2068	Q₈	—	4	4	no	—
2069	Q₈	—	4	4	no	—
2070	Q₈	—	4	2	no	—
2071	Q₈	—	4	1	no	—
2072	Q₈	—	4	2	no	—
2073	Q₈	—	4	4	no	—
2074	Q₈	—	4	2	no	—
2075	D₄	—	2	8	no	—
2076	D₄	—	2	4	no	—
2077	D₄	—	2	8	no	—
2078	D₄	—	2	4	no	—
2079	D₄	—	4	1	no	—
2080	D₄	—	4	2	no	—
2081	D₄	—	4	4	no	—
2082	D₄	—	4	2	no	—
2083	D₄	—	4	4	no	—
2084	D₄	—	4	1	no	—
2085	D₄	—	4	2	no	—
2086	D₄	—	4	2	no	—
2087	D₄	—	4	4	no	—
2088	D₄	—	4	2	no	—
2089	D₄	—	4	2	no	—
2090	D₄	—	4	4	no	—
2091	D₄	2₋¹⁺⁴×C₈₉	1	4	yes	—
2092	C₂×C₄	—	2	4	no	—
2093	C₂×C₄	—	2	8	no	—
2094	C₂×C₄	—	2	4	no	—
2095	C₂×C₄	—	2	2	no	—
2096	C₂×C₄	—	2	4	no	—
2097	C₂×C₄	—	4	2	no	—
2098	C₂×C₄	—	4	4	no	—
2099	C₂×C₄	—	4	4	no	—
2100	C₂×C₄	—	4	4	no	—
2101	C₂×C₄	—	4	4	no	—
2102	C₂×C₄	—	4	4	no	—
2103	C₂×C₄	—	4	2	no	—
2104	C₂×C₄	—	4	2	no	—
2105	C₂×C₄	—	4	4	no	—
2106	C₂×C₄	—	4	4	no	—
2107	C₂×C₄	—	4	4	no	—
2108	C₂×C₄	—	4	2	no	—
2109	C₂×C₄	—	4	1	no	—
2110	C₂×C₄	—	4	2	no	—
2111	C₂×C₄	—	4	2	no	—
2112	C₂×C₄	—	4	4	no	—
2113	C₂×C₄	—	4	2	no	—
2114	C₂×C₄	—	4	4	no	—
2115	C₂×C₄	—	4	4	no	—
2116	C₂×C₄	—	4	4	no	—
2117	C₂×C₄	—	4	4	no	—
2118	C₂×C₄	—	4	2	no	—
2119	C₂×C₄	—	4	1	no	—
2120	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2121	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2122	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2123	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2124	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2125	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2126	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2127	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2128	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2129	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2130	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2131	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2132	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2133	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2134	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2135	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2136	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2137	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2138	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2139	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2140	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2141	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2142	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2143	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2144	C₂²	—	2	2	no	—
2145	C₂²	—	2	2	no	—
2146	C₂²	—	2	2	no	—
2147	C₂²	—	2	1	no	—
2148	C₂²	—	2	2	no	—
2149	C₂²	—	2	4	no	—
2150	C₂²	—	2	2	no	—
2151	C₂²	—	2	4	no	—
2152	C₂²	—	2	1	no	—
2153	C₂²	—	2	2	no	—
2154	C₂²	—	2	1	no	—
2155	C₂²	—	2	4	no	—
2156	C₂²	—	2	2	no	—
2157	C₂²	—	2	2	no	—
2158	C₂²	—	8	8	no	—
2159	C₂²	C₂×2₋¹⁺⁴×C₈₉	1	4	yes	—
2160	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
2161	C₄	—	2	1	no	—
2162	C₄	—	2	2	no	—
2163	C₄	—	2	2	no	—
2164	C₄	—	2	4	no	—
2165	C₄	—	2	2	no	—
2166	C₄	—	2	2	no	—
2167	C₄	—	2	4	no	—
2168	C₄	—	2	2	no	—
2169	C₄	—	2	4	no	—
2170	C₄	—	2	1	no	—
2171	C₄	—	2	1	no	—
2172	C₄	—	2	2	no	—
2173	C₄	—	2	4	no	—
2174	C₄	—	2	2	no	—
2175	C₄	—	2	2	no	—
2176	C₄	—	2	4	no	—
2177	C₄	—	2	1	no	—
2178	C₄	—	2	2	no	—
2179	C₄	—	2	2	no	—
2180	C₄	—	2	2	no	—
2181	C₄	—	2	2	no	—
2182	C₄	—	2	1	no	—
2183	C₄	—	2	2	no	—
2184	C₄	C₂×2₋¹⁺⁴×C₈₉	1	2	yes	—
2185	C₂	—	2	4	no	—
2186	C₂	—	4	2	no	—
2187	C₂	—	4	1	no	—
2188	C₂	—	4	4	no	—
2189	C₂	—	4	2	no	—
2190	C₂	C₂²×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
2191	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
2192	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×#3564	C₂	semidirect
3. C₈₉×#3564	C₂	semidirect
4. C₈₉×#3563	C₂	semidirect
5. C₈₉×#3563	C₂	semidirect
6. C₈₉×#3561	C₂	semidirect
7. C₈₉×#3559	C₂	semidirect
8. C₈₉×#3557	C₂	semidirect
9. C₈₉×#3555	C₂	semidirect
10. C₈₉×#3555	C₂	semidirect
11. C₈₉×#3553	C₂	semidirect
12. C₈₉×#3552	C₂	semidirect
13. C₈₉×#3552	C₂	semidirect
14. C₈₉×#3550	C₂	semidirect
15. C₈₉×#3544	C₂	semidirect
16. C₈₉×#3541	C₂	semidirect
17. C₈₉×#3538	C₂	semidirect
18. C₈₉×#3535	C₂	semidirect
19. C₈₉×#3531	C₂	semidirect
20. C₂×#563×C₈₉	C₂	semidirect
21. C₈₉×#3521	C₂	semidirect
22. C₈₉×#3521	C₂	semidirect
23. C₈₉×#3520	C₂	semidirect
24. C₈₉×#3515	C₂	semidirect
25. C₈₉×#3514	C₂	semidirect
26. C₈₉×#3513	C₂	semidirect
27. C₈₉×#3504	C₂	semidirect
28. C₈₉×#3503	C₂	semidirect
29. C₈₉×#3501	C₂	semidirect
30. #564×C₈₉	C₂²	semidirect
31. #564×C₈₉	C₂²	semidirect
35. #563×C₈₉	C₂²	semidirect
36. #563×C₈₉	C₂²	semidirect
37. #563×C₈₉	C₂²	semidirect
38. #563×C₈₉	C₂²	semidirect
39. #563×C₈₉	C₂²	semidirect
40. #563×C₈₉	C₂²	semidirect
41. #563×C₈₉	C₂²	semidirect
42. #563×C₈₉	C₂²	semidirect
43. #563×C₈₉	C₂²	semidirect
44. #563×C₈₉	C₂²	semidirect
45. #563×C₈₉	C₂²	semidirect
46. #563×C₈₉	C₂²	semidirect
47. #563×C₈₉	C₂²	semidirect
48. #563×C₈₉	C₂²	semidirect
49. #563×C₈₉	C₂²	semidirect
50. #563×C₈₉	C₂²	semidirect
51. #563×C₈₉	C₂²	semidirect
52. #563×C₈₉	C₂²	semidirect
55. #562×C₈₉	C₂²	semidirect
56. #562×C₈₉	C₂²	semidirect
57. #562×C₈₉	C₂²	semidirect
60. Q₈²×C₈₉	C₂²	semidirect
61. Q₈²×C₈₉	C₂²	semidirect
62. #557×C₈₉	C₂²	semidirect
63. #557×C₈₉	C₂²	semidirect
64. #557×C₈₉	C₂²	semidirect
65. #557×C₈₉	C₂²	semidirect
66. #557×C₈₉	C₂²	semidirect
67. #557×C₈₉	C₂²	semidirect
69. #556×C₈₉	C₂²	semidirect
70. #556×C₈₉	C₂²	semidirect
71. #556×C₈₉	C₂²	semidirect
72. #556×C₈₉	C₂²	semidirect
73. #556×C₈₉	C₂²	semidirect
74. #556×C₈₉	C₂²	semidirect
75. #556×C₈₉	C₂²	semidirect
76. #556×C₈₉	C₂²	semidirect
77. #556×C₈₉	C₂²	semidirect
83. #554×C₈₉	C₂²	semidirect
84. #554×C₈₉	C₂²	semidirect
85. #554×C₈₉	C₂²	semidirect
86. #554×C₈₉	C₂²	semidirect
87. #554×C₈₉	C₂²	semidirect
88. #554×C₈₉	C₂²	semidirect
89. #554×C₈₉	C₂²	semidirect
90. #554×C₈₉	C₂²	semidirect
91. #554×C₈₉	C₂²	semidirect
92. #554×C₈₉	C₂²	semidirect
93. #554×C₈₉	C₂²	semidirect
94. #554×C₈₉	C₂²	semidirect
95. #554×C₈₉	C₂²	semidirect
98. #553×C₈₉	C₂²	semidirect
99. #553×C₈₉	C₂²	semidirect
100. #553×C₈₉	C₂²	semidirect
101. #553×C₈₉	C₂²	semidirect
102. #553×C₈₉	C₂²	semidirect
104. #552×C₈₉	C₂²	semidirect
105. #552×C₈₉	C₂²	semidirect
106. #552×C₈₉	C₂²	semidirect
107. #552×C₈₉	C₂²	semidirect
108. #552×C₈₉	C₂²	semidirect
109. #552×C₈₉	C₂²	semidirect
110. #552×C₈₉	C₂²	semidirect
111. #552×C₈₉	C₂²	semidirect
112. #552×C₈₉	C₂²	semidirect
113. #552×C₈₉	C₂²	semidirect
114. #552×C₈₉	C₂²	semidirect
115. #552×C₈₉	C₂²	semidirect
116. #552×C₈₉	C₂²	semidirect
117. #552×C₈₉	C₂²	semidirect
121. #551×C₈₉	C₂²	semidirect
122. #551×C₈₉	C₂²	semidirect
123. #551×C₈₉	C₂²	semidirect
124. #551×C₈₉	C₂²	semidirect
125. #551×C₈₉	C₂²	semidirect
126. #551×C₈₉	C₂²	semidirect
129. D₄×Q₈×C₈₉	C₂²	semidirect
130. D₄×Q₈×C₈₉	C₂²	semidirect
131. D₄×Q₈×C₈₉	C₂²	semidirect
132. D₄×Q₈×C₈₉	C₂²	semidirect
133. D₄×Q₈×C₈₉	C₂²	semidirect
134. D₄×Q₈×C₈₉	C₂²	semidirect
136. #548×C₈₉	C₂²	semidirect
137. #548×C₈₉	C₂²	semidirect
141. #547×C₈₉	C₂²	semidirect
142. #547×C₈₉	C₂²	semidirect
143. #547×C₈₉	C₂²	semidirect
150. #544×C₈₉	C₂²	semidirect
151. #544×C₈₉	C₂²	semidirect
152. #544×C₈₉	C₂²	semidirect
153. #544×C₈₉	C₂²	semidirect
154. #544×C₈₉	C₂²	semidirect
155. #544×C₈₉	C₂²	semidirect
156. #544×C₈₉	C₂²	semidirect
157. #544×C₈₉	C₂²	semidirect
158. #544×C₈₉	C₂²	semidirect
159. #544×C₈₉	C₂²	semidirect
160. #544×C₈₉	C₂²	semidirect
161. #544×C₈₉	C₂²	semidirect
162. #544×C₈₉	C₂²	semidirect
163. #543×C₈₉	C₂²	semidirect
164. #543×C₈₉	C₂²	semidirect
168. #542×C₈₉	C₂²	semidirect
169. #542×C₈₉	C₂²	semidirect
170. #542×C₈₉	C₂²	semidirect
171. #542×C₈₉	C₂²	semidirect
172. #542×C₈₉	C₂²	semidirect
173. #542×C₈₉	C₂²	semidirect
174. #542×C₈₉	C₂²	semidirect
175. #542×C₈₉	C₂²	semidirect
176. #542×C₈₉	C₂²	semidirect
177. #542×C₈₉	C₂²	semidirect
178. #541×C₈₉	C₂²	semidirect
179. #541×C₈₉	C₂²	semidirect
180. #541×C₈₉	C₂²	semidirect
181. #541×C₈₉	C₂²	semidirect
182. #541×C₈₉	C₂²	semidirect
183. #541×C₈₉	C₂²	semidirect
184. #541×C₈₉	C₂²	semidirect
185. #541×C₈₉	C₂²	semidirect
186. #541×C₈₉	C₂²	semidirect
187. #541×C₈₉	C₂²	semidirect
188. #541×C₈₉	C₂²	semidirect
189. #541×C₈₉	C₂²	semidirect
193. #539×C₈₉	C₂²	semidirect
194. #539×C₈₉	C₂²	semidirect
195. #539×C₈₉	C₂²	semidirect
196. #539×C₈₉	C₂²	semidirect
197. #539×C₈₉	C₂²	semidirect
198. #539×C₈₉	C₂²	semidirect
199. #539×C₈₉	C₂²	semidirect
200. #539×C₈₉	C₂²	semidirect
201. #539×C₈₉	C₂²	semidirect
202. #539×C₈₉	C₂²	semidirect
203. #539×C₈₉	C₂²	semidirect
204. #539×C₈₉	C₂²	semidirect
207. #538×C₈₉	C₂²	semidirect
208. #538×C₈₉	C₂²	semidirect
209. #537×C₈₉	C₂²	semidirect
210. #536×C₈₉	C₂²	semidirect
211. #536×C₈₉	C₂²	semidirect
212. #536×C₈₉	C₂²	semidirect
213. #536×C₈₉	C₂²	semidirect
214. #533×C₈₉	C₂²	semidirect
215. #533×C₈₉	C₂²	semidirect
216. #533×C₈₉	C₂²	semidirect
217. #533×C₈₉	C₂²	semidirect
218. #533×C₈₉	C₂²	semidirect
219. #533×C₈₉	C₂²	semidirect
220. #533×C₈₉	C₂²	semidirect
221. #533×C₈₉	C₂²	semidirect
223. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
224. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
229. #529×C₈₉	C₂²	semidirect
230. #529×C₈₉	C₂²	semidirect
231. #529×C₈₉	C₂²	semidirect
232. #529×C₈₉	C₂²	semidirect
233. #529×C₈₉	C₂²	semidirect
234. #529×C₈₉	C₂²	semidirect
235. #529×C₈₉	C₂²	semidirect
236. #529×C₈₉	C₂²	semidirect
237. #529×C₈₉	C₂²	semidirect
238. C₂×#126×C₈₉	C₂²	semidirect
239. C₂×#126×C₈₉	C₂²	semidirect
240. C₂×#125×C₈₉	C₂²	semidirect
241. C₂×#125×C₈₉	C₂²	semidirect
242. C₂×#125×C₈₉	C₂²	semidirect
245. #525×C₈₉	C₂²	semidirect
247. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
248. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
249. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
1088. #63058	C₈₉	direct (N × H)
1097. #3565	C₂×C₈₉	semidirect
1098. #3564	C₂×C₈₉	semidirect
1099. #3564	C₂×C₈₉	semidirect
1100. #3563	C₂×C₈₉	semidirect
1101. #3563	C₂×C₈₉	semidirect
1102. #3561	C₂×C₈₉	semidirect
1103. #3559	C₂×C₈₉	semidirect
1104. #3557	C₂×C₈₉	semidirect
1105. #3555	C₂×C₈₉	semidirect
1106. #3555	C₂×C₈₉	semidirect
1107. #3553	C₂×C₈₉	semidirect
1108. #3552	C₂×C₈₉	semidirect
1109. #3552	C₂×C₈₉	semidirect
1110. #3550	C₂×C₈₉	semidirect
1111. #3544	C₂×C₈₉	semidirect
1112. #3541	C₂×C₈₉	semidirect
1113. #3538	C₂×C₈₉	semidirect
1114. #3535	C₂×C₈₉	semidirect
1115. #3531	C₂×C₈₉	semidirect
1116. C₂×#563	C₂×C₈₉	semidirect
1117. #3521	C₂×C₈₉	semidirect
1118. #3521	C₂×C₈₉	semidirect
1119. #3520	C₂×C₈₉	semidirect
1120. #3515	C₂×C₈₉	semidirect
1121. #3514	C₂×C₈₉	semidirect
1122. #3513	C₂×C₈₉	semidirect
1123. #3504	C₂×C₈₉	semidirect
1124. #3503	C₂×C₈₉	semidirect
1125. #3501	C₂×C₈₉	semidirect
1126. C₈₉	#63058	direct (N × H)
1127. #564	C₂²×C₈₉	semidirect
1128. #564	C₂²×C₈₉	semidirect
1132. #563	C₂²×C₈₉	semidirect
1133. #563	C₂²×C₈₉	semidirect
1134. #563	C₂²×C₈₉	semidirect
1135. #563	C₂²×C₈₉	semidirect
1136. #563	C₂²×C₈₉	semidirect
1137. #563	C₂²×C₈₉	semidirect
1138. #563	C₂²×C₈₉	semidirect
1139. #563	C₂²×C₈₉	semidirect
1140. #563	C₂²×C₈₉	semidirect
1141. #563	C₂²×C₈₉	semidirect
1142. #563	C₂²×C₈₉	semidirect
1143. #563	C₂²×C₈₉	semidirect
1144. #563	C₂²×C₈₉	semidirect
1145. #563	C₂²×C₈₉	semidirect
1146. #563	C₂²×C₈₉	semidirect
1147. #563	C₂²×C₈₉	semidirect
1148. #563	C₂²×C₈₉	semidirect
1149. #563	C₂²×C₈₉	semidirect
1152. #562	C₂²×C₈₉	semidirect
1153. #562	C₂²×C₈₉	semidirect
1154. #562	C₂²×C₈₉	semidirect
1157. Q₈²	C₂²×C₈₉	semidirect
1158. Q₈²	C₂²×C₈₉	semidirect
1159. #557	C₂²×C₈₉	semidirect
1160. #557	C₂²×C₈₉	semidirect
1161. #557	C₂²×C₈₉	semidirect
1162. #557	C₂²×C₈₉	semidirect
1163. #557	C₂²×C₈₉	semidirect
1164. #557	C₂²×C₈₉	semidirect
1166. #556	C₂²×C₈₉	semidirect
1167. #556	C₂²×C₈₉	semidirect
1168. #556	C₂²×C₈₉	semidirect
1169. #556	C₂²×C₈₉	semidirect
1170. #556	C₂²×C₈₉	semidirect
1171. #556	C₂²×C₈₉	semidirect
1172. #556	C₂²×C₈₉	semidirect
1173. #556	C₂²×C₈₉	semidirect
1174. #556	C₂²×C₈₉	semidirect
1180. #554	C₂²×C₈₉	semidirect
1181. #554	C₂²×C₈₉	semidirect
1182. #554	C₂²×C₈₉	semidirect
1183. #554	C₂²×C₈₉	semidirect
1184. #554	C₂²×C₈₉	semidirect
1185. #554	C₂²×C₈₉	semidirect
1186. #554	C₂²×C₈₉	semidirect
1187. #554	C₂²×C₈₉	semidirect
1188. #554	C₂²×C₈₉	semidirect
1189. #554	C₂²×C₈₉	semidirect
1190. #554	C₂²×C₈₉	semidirect
1191. #554	C₂²×C₈₉	semidirect
1192. #554	C₂²×C₈₉	semidirect
1195. #553	C₂²×C₈₉	semidirect
1196. #553	C₂²×C₈₉	semidirect
1197. #553	C₂²×C₈₉	semidirect
1198. #553	C₂²×C₈₉	semidirect
1199. #553	C₂²×C₈₉	semidirect
1201. #552	C₂²×C₈₉	semidirect
1202. #552	C₂²×C₈₉	semidirect
1203. #552	C₂²×C₈₉	semidirect
1204. #552	C₂²×C₈₉	semidirect
1205. #552	C₂²×C₈₉	semidirect
1206. #552	C₂²×C₈₉	semidirect
1207. #552	C₂²×C₈₉	semidirect
1208. #552	C₂²×C₈₉	semidirect
1209. #552	C₂²×C₈₉	semidirect
1210. #552	C₂²×C₈₉	semidirect
1211. #552	C₂²×C₈₉	semidirect
1212. #552	C₂²×C₈₉	semidirect
1213. #552	C₂²×C₈₉	semidirect
1214. #552	C₂²×C₈₉	semidirect
1218. #551	C₂²×C₈₉	semidirect
1219. #551	C₂²×C₈₉	semidirect
1220. #551	C₂²×C₈₉	semidirect
1221. #551	C₂²×C₈₉	semidirect
1222. #551	C₂²×C₈₉	semidirect
1223. #551	C₂²×C₈₉	semidirect
1226. D₄×Q₈	C₂²×C₈₉	semidirect
1227. D₄×Q₈	C₂²×C₈₉	semidirect
1228. D₄×Q₈	C₂²×C₈₉	semidirect
1229. D₄×Q₈	C₂²×C₈₉	semidirect
1230. D₄×Q₈	C₂²×C₈₉	semidirect
1231. D₄×Q₈	C₂²×C₈₉	semidirect
1233. #548	C₂²×C₈₉	semidirect
1234. #548	C₂²×C₈₉	semidirect
1238. #547	C₂²×C₈₉	semidirect
1239. #547	C₂²×C₈₉	semidirect
1240. #547	C₂²×C₈₉	semidirect
1247. #544	C₂²×C₈₉	semidirect
1248. #544	C₂²×C₈₉	semidirect
1249. #544	C₂²×C₈₉	semidirect
1250. #544	C₂²×C₈₉	semidirect
1251. #544	C₂²×C₈₉	semidirect
1252. #544	C₂²×C₈₉	semidirect
1253. #544	C₂²×C₈₉	semidirect
1254. #544	C₂²×C₈₉	semidirect
1255. #544	C₂²×C₈₉	semidirect
1256. #544	C₂²×C₈₉	semidirect
1257. #544	C₂²×C₈₉	semidirect
1258. #544	C₂²×C₈₉	semidirect
1259. #544	C₂²×C₈₉	semidirect
1260. #543	C₂²×C₈₉	semidirect
1261. #543	C₂²×C₈₉	semidirect
1265. #542	C₂²×C₈₉	semidirect
1266. #542	C₂²×C₈₉	semidirect
1267. #542	C₂²×C₈₉	semidirect
1268. #542	C₂²×C₈₉	semidirect
1269. #542	C₂²×C₈₉	semidirect
1270. #542	C₂²×C₈₉	semidirect
1271. #542	C₂²×C₈₉	semidirect
1272. #542	C₂²×C₈₉	semidirect
1273. #542	C₂²×C₈₉	semidirect
1274. #542	C₂²×C₈₉	semidirect
1275. #541	C₂²×C₈₉	semidirect
1276. #541	C₂²×C₈₉	semidirect
1277. #541	C₂²×C₈₉	semidirect
1278. #541	C₂²×C₈₉	semidirect
1279. #541	C₂²×C₈₉	semidirect
1280. #541	C₂²×C₈₉	semidirect
1281. #541	C₂²×C₈₉	semidirect
1282. #541	C₂²×C₈₉	semidirect
1283. #541	C₂²×C₈₉	semidirect
1284. #541	C₂²×C₈₉	semidirect
1285. #541	C₂²×C₈₉	semidirect
1286. #541	C₂²×C₈₉	semidirect
1290. #539	C₂²×C₈₉	semidirect
1291. #539	C₂²×C₈₉	semidirect
1292. #539	C₂²×C₈₉	semidirect
1293. #539	C₂²×C₈₉	semidirect
1294. #539	C₂²×C₈₉	semidirect
1295. #539	C₂²×C₈₉	semidirect
1296. #539	C₂²×C₈₉	semidirect
1297. #539	C₂²×C₈₉	semidirect
1298. #539	C₂²×C₈₉	semidirect
1299. #539	C₂²×C₈₉	semidirect
1300. #539	C₂²×C₈₉	semidirect
1301. #539	C₂²×C₈₉	semidirect
1304. #538	C₂²×C₈₉	semidirect
1305. #538	C₂²×C₈₉	semidirect
1306. #537	C₂²×C₈₉	semidirect
1307. #536	C₂²×C₈₉	semidirect
1308. #536	C₂²×C₈₉	semidirect
1309. #536	C₂²×C₈₉	semidirect
1310. #536	C₂²×C₈₉	semidirect
1311. #533	C₂²×C₈₉	semidirect
1312. #533	C₂²×C₈₉	semidirect
1313. #533	C₂²×C₈₉	semidirect
1314. #533	C₂²×C₈₉	semidirect
1315. #533	C₂²×C₈₉	semidirect
1316. #533	C₂²×C₈₉	semidirect
1317. #533	C₂²×C₈₉	semidirect
1318. #533	C₂²×C₈₉	semidirect
1320. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1321. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1326. #529	C₂²×C₈₉	semidirect
1327. #529	C₂²×C₈₉	semidirect
1328. #529	C₂²×C₈₉	semidirect
1329. #529	C₂²×C₈₉	semidirect
1330. #529	C₂²×C₈₉	semidirect
1331. #529	C₂²×C₈₉	semidirect
1332. #529	C₂²×C₈₉	semidirect
1333. #529	C₂²×C₈₉	semidirect
1334. #529	C₂²×C₈₉	semidirect
1335. C₂×#126	C₂²×C₈₉	semidirect
1336. C₂×#126	C₂²×C₈₉	semidirect
1337. C₂×#125	C₂²×C₈₉	semidirect
1338. C₂×#125	C₂²×C₈₉	semidirect
1339. C₂×#125	C₂²×C₈₉	semidirect
1342. #525	C₂²×C₈₉	semidirect
1344. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1345. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1346. C₂×C₂²⋊Q₈	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×#3563	2
C₈₉×#3561	2
C₈₉×#3559	2
C₈₉×#3557	2
C₈₉×#3555	2
C₈₉×#3553	2
C₈₉×#3552	2
C₈₉×#3550	2
C₈₉×#3544	2
C₈₉×#3541	2
C₈₉×#3538	2
C₈₉×#3535	2
C₈₉×#3531	2
C₂×#563×C₈₉	2
C₈₉×#3521	2
C₈₉×#3520	2
C₈₉×#3515	2
C₈₉×#3514	2
C₈₉×#3513	2
C₈₉×#3504	2
C₈₉×#3503	2
C₈₉×#3501	2
#63058	89

Subgroups — C89×#63058 #36440906

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#63058 #36440906