Subgroups — C₈₉×#63056 #36440904

Order 22784.

6496 conjugacy classes of subgroups.

The subgroup lattice has 2242 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3568	C₂	1	2	yes	maximal, complemented
2	C₈₉×#3566	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3566	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3562	C₂	1	2	yes	maximal, complemented
5	C₈₉×#3562	C₂	1	2	yes	maximal, complemented
6	C₈₉×#3562	C₂	1	4	yes	maximal, complemented
7	C₈₉×#3561	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3559	C₂	1	2	yes	maximal, complemented
9	C₈₉×#3558	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3555	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3554	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3554	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3553	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3550	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3546	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3541	C₂	1	4	yes	maximal, complemented
17	C₈₉×#3535	C₂	1	4	yes	maximal, complemented
18	C₈₉×#3533	C₂	1	4	yes	maximal, complemented
19	C₈₉×#3531	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3529	C₂	1	2	yes	maximal, complemented
21	C₈₉×#3522	C₂	1	2	yes	maximal, complemented
22	C₈₉×#3520	C₂	1	2	yes	maximal, complemented
23	C₈₉×#3517	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#3516	C₂	1	2	yes	maximal, complemented
25	C₈₉×#3515	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3513	C₂	1	2	yes	maximal, complemented
27	C₈₉×#3510	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3507	C₂	1	2	yes	maximal, complemented
29	C₈₉×#3506	C₂	1	2	yes	maximal, complemented
30	#564×C₈₉	C₂²	1	1	yes	characteristic, complemented
31	#563×C₈₉	C₂²	1	4	yes	complemented
32	#563×C₈₉	C₂²	1	2	yes	complemented
33	#563×C₈₉	C₂²	1	2	yes	complemented
34	#563×C₈₉	C₂²	1	2	yes	complemented
35	#563×C₈₉	C₂²	1	1	yes	characteristic, complemented
36	#563×C₈₉	C₂²	1	2	yes	complemented
37	#563×C₈₉	C₂²	1	2	yes	complemented
38	#563×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	#563×C₈₉	C₂²	1	4	yes	complemented
40	#563×C₈₉	C₂²	1	2	yes	complemented
41	#563×C₈₉	C₂²	1	2	yes	complemented
42	#562×C₈₉	C₂²	1	2	yes	—
43	#562×C₈₉	C₂²	1	2	yes	—
44	#562×C₈₉	C₂²	1	1	yes	characteristic, complemented
45	#562×C₈₉	C₂²	1	4	yes	complemented
46	#562×C₈₉	C₂²	1	4	yes	complemented
47	#562×C₈₉	C₂²	1	2	yes	complemented
48	#562×C₈₉	C₂²	1	2	yes	complemented
49	#562×C₈₉	C₂²	1	4	yes	complemented
50	#562×C₈₉	C₂²	1	4	yes	complemented
51	#562×C₈₉	C₂²	1	4	yes	complemented
52	#562×C₈₉	C₂²	1	4	yes	complemented
53	H(3,𝔽₄)×C₈₉	C₂²	1	2	yes	—
54	#560×C₈₉	C₂²	1	4	yes	complemented
55	#560×C₈₉	C₂²	1	4	yes	complemented
56	#560×C₈₉	C₂²	1	4	yes	complemented
57	#560×C₈₉	C₂²	1	4	yes	complemented
58	#559×C₈₉	C₂²	1	2	yes	—
59	#559×C₈₉	C₂²	1	2	yes	—
60	#559×C₈₉	C₂²	1	2	yes	complemented
61	#559×C₈₉	C₂²	1	2	yes	complemented
62	#559×C₈₉	C₂²	1	2	yes	complemented
63	#559×C₈₉	C₂²	1	2	yes	complemented
64	#559×C₈₉	C₂²	1	4	yes	complemented
65	#559×C₈₉	C₂²	1	4	yes	complemented
66	Q₈²×C₈₉	C₂²	1	2	yes	complemented
67	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
68	#557×C₈₉	C₂²	1	2	yes	complemented
69	#557×C₈₉	C₂²	1	2	yes	complemented
70	#557×C₈₉	C₂²	1	1	yes	characteristic, 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	2	yes	complemented
75	#556×C₈₉	C₂²	1	2	yes	complemented
76	#556×C₈₉	C₂²	1	4	yes	complemented
77	#556×C₈₉	C₂²	1	2	yes	complemented
78	#556×C₈₉	C₂²	1	4	yes	complemented
79	#556×C₈₉	C₂²	1	2	yes	complemented
80	#556×C₈₉	C₂²	1	4	yes	complemented
81	#555×C₈₉	C₂²	1	4	yes	complemented
82	#554×C₈₉	C₂²	1	4	yes	complemented
83	#554×C₈₉	C₂²	1	2	yes	complemented
84	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
85	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#554×C₈₉	C₂²	1	2	yes	complemented
87	#554×C₈₉	C₂²	1	4	yes	complemented
88	#554×C₈₉	C₂²	1	4	yes	complemented
89	#554×C₈₉	C₂²	1	4	yes	complemented
90	#553×C₈₉	C₂²	1	2	yes	—
91	#553×C₈₉	C₂²	1	4	yes	complemented
92	#553×C₈₉	C₂²	1	4	yes	complemented
93	#553×C₈₉	C₂²	1	2	yes	complemented
94	#553×C₈₉	C₂²	1	4	yes	complemented
95	#553×C₈₉	C₂²	1	4	yes	complemented
96	#553×C₈₉	C₂²	1	4	yes	complemented
97	#553×C₈₉	C₂²	1	4	yes	complemented
98	#553×C₈₉	C₂²	1	4	yes	complemented
99	#553×C₈₉	C₂²	1	4	yes	complemented
100	#552×C₈₉	C₂²	1	4	yes	complemented
101	#552×C₈₉	C₂²	1	4	yes	complemented
102	#552×C₈₉	C₂²	1	2	yes	complemented
103	#552×C₈₉	C₂²	1	4	yes	complemented
104	#552×C₈₉	C₂²	1	2	yes	complemented
105	#552×C₈₉	C₂²	1	4	yes	complemented
106	#552×C₈₉	C₂²	1	4	yes	complemented
107	#552×C₈₉	C₂²	1	4	yes	complemented
108	#551×C₈₉	C₂²	1	4	yes	complemented
109	#551×C₈₉	C₂²	1	4	yes	complemented
110	#551×C₈₉	C₂²	1	4	yes	complemented
111	#551×C₈₉	C₂²	1	4	yes	complemented
112	#551×C₈₉	C₂²	1	4	yes	complemented
113	#551×C₈₉	C₂²	1	4	yes	complemented
114	#551×C₈₉	C₂²	1	4	yes	complemented
115	#551×C₈₉	C₂²	1	4	yes	complemented
116	#551×C₈₉	C₂²	1	4	yes	complemented
117	#550×C₈₉	C₂²	1	2	yes	—
118	#550×C₈₉	C₂²	1	2	yes	—
119	#550×C₈₉	C₂²	1	1	yes	characteristic, complemented
120	#550×C₈₉	C₂²	1	2	yes	complemented
121	#550×C₈₉	C₂²	1	2	yes	complemented
122	#550×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
124	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
125	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
126	#548×C₈₉	C₂²	1	2	yes	—
127	#548×C₈₉	C₂²	1	2	yes	complemented
128	#548×C₈₉	C₂²	1	4	yes	complemented
129	#548×C₈₉	C₂²	1	2	yes	complemented
130	#548×C₈₉	C₂²	1	2	yes	complemented
131	#548×C₈₉	C₂²	1	4	yes	complemented
132	#547×C₈₉	C₂²	1	2	yes	—
133	#547×C₈₉	C₂²	1	4	yes	complemented
134	#547×C₈₉	C₂²	1	2	yes	complemented
135	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	#547×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#547×C₈₉	C₂²	1	2	yes	complemented
138	#547×C₈₉	C₂²	1	2	yes	complemented
139	#547×C₈₉	C₂²	1	4	yes	complemented
140	#547×C₈₉	C₂²	1	4	yes	complemented
141	#547×C₈₉	C₂²	1	4	yes	complemented
142	#546×C₈₉	C₂²	1	2	yes	—
143	#546×C₈₉	C₂²	1	2	yes	—
144	#546×C₈₉	C₂²	1	4	yes	—
145	#546×C₈₉	C₂²	1	4	yes	complemented
146	#546×C₈₉	C₂²	1	2	yes	complemented
147	#546×C₈₉	C₂²	1	2	yes	complemented
148	#546×C₈₉	C₂²	1	4	yes	complemented
149	D₄²×C₈₉	C₂²	1	2	yes	—
150	#544×C₈₉	C₂²	1	4	yes	complemented
151	#543×C₈₉	C₂²	1	2	yes	complemented
152	#542×C₈₉	C₂²	1	2	yes	—
153	#542×C₈₉	C₂²	1	2	yes	—
154	#542×C₈₉	C₂²	1	2	yes	complemented
155	#542×C₈₉	C₂²	1	2	yes	complemented
156	#542×C₈₉	C₂²	1	2	yes	complemented
157	#542×C₈₉	C₂²	1	4	yes	complemented
158	#542×C₈₉	C₂²	1	2	yes	complemented
159	#542×C₈₉	C₂²	1	2	yes	complemented
160	#542×C₈₉	C₂²	1	4	yes	complemented
161	#542×C₈₉	C₂²	1	4	yes	complemented
162	#542×C₈₉	C₂²	1	2	yes	complemented
163	#542×C₈₉	C₂²	1	4	yes	complemented
164	#542×C₈₉	C₂²	1	4	yes	complemented
165	#542×C₈₉	C₂²	1	4	yes	complemented
166	#542×C₈₉	C₂²	1	4	yes	complemented
167	#541×C₈₉	C₂²	1	2	yes	complemented
168	#541×C₈₉	C₂²	1	4	yes	complemented
169	#541×C₈₉	C₂²	1	2	yes	complemented
170	#541×C₈₉	C₂²	1	4	yes	complemented
171	#541×C₈₉	C₂²	1	4	yes	complemented
172	#541×C₈₉	C₂²	1	4	yes	complemented
173	#540×C₈₉	C₂²	1	2	yes	—
174	#540×C₈₉	C₂²	1	4	yes	complemented
175	#540×C₈₉	C₂²	1	2	yes	complemented
176	#540×C₈₉	C₂²	1	4	yes	complemented
177	#540×C₈₉	C₂²	1	4	yes	complemented
178	#540×C₈₉	C₂²	1	4	yes	complemented
179	#539×C₈₉	C₂²	1	4	yes	complemented
180	#539×C₈₉	C₂²	1	4	yes	complemented
181	#539×C₈₉	C₂²	1	4	yes	complemented
182	#539×C₈₉	C₂²	1	4	yes	complemented
183	#539×C₈₉	C₂²	1	4	yes	complemented
184	#539×C₈₉	C₂²	1	4	yes	complemented
185	#539×C₈₉	C₂²	1	4	yes	complemented
186	#539×C₈₉	C₂²	1	4	yes	complemented
187	#539×C₈₉	C₂²	1	4	yes	complemented
188	#539×C₈₉	C₂²	1	4	yes	complemented
189	#539×C₈₉	C₂²	1	4	yes	complemented
190	#539×C₈₉	C₂²	1	4	yes	complemented
191	#538×C₈₉	C₂²	1	4	yes	—
192	#538×C₈₉	C₂²	1	2	yes	—
193	#538×C₈₉	C₂²	1	4	yes	complemented
194	#538×C₈₉	C₂²	1	4	yes	complemented
195	#538×C₈₉	C₂²	1	4	yes	complemented
196	#538×C₈₉	C₂²	1	4	yes	complemented
197	#538×C₈₉	C₂²	1	4	yes	complemented
198	#538×C₈₉	C₂²	1	4	yes	complemented
199	#538×C₈₉	C₂²	1	4	yes	complemented
200	#538×C₈₉	C₂²	1	4	yes	complemented
201	#538×C₈₉	C₂²	1	4	yes	complemented
202	#538×C₈₉	C₂²	1	2	yes	complemented
203	#537×C₈₉	C₂²	1	4	yes	complemented
204	#536×C₈₉	C₂²	1	2	yes	complemented
205	#536×C₈₉	C₂²	1	2	yes	complemented
206	#536×C₈₉	C₂²	1	1	yes	characteristic, complemented
207	#536×C₈₉	C₂²	1	4	yes	complemented
208	#536×C₈₉	C₂²	1	4	yes	complemented
209	#535×C₈₉	C₂²	1	2	yes	—
210	#535×C₈₉	C₂²	1	1	yes	characteristic
211	#535×C₈₉	C₂²	1	2	yes	complemented
212	#535×C₈₉	C₂²	1	4	yes	complemented
213	#534×C₈₉	C₂²	1	2	yes	—
214	#533×C₈₉	C₂²	1	2	yes	complemented
215	#533×C₈₉	C₂²	1	2	yes	complemented
216	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
217	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
218	#533×C₈₉	C₂²	1	2	yes	complemented
219	#532×C₈₉	C₂²	1	2	yes	—
220	#532×C₈₉	C₂²	1	1	yes	characteristic
221	#532×C₈₉	C₂²	1	2	yes	complemented
222	#532×C₈₉	C₂²	1	2	yes	complemented
223	#532×C₈₉	C₂²	1	4	yes	complemented
224	#532×C₈₉	C₂²	1	2	yes	complemented
225	#529×C₈₉	C₂²	1	2	yes	—
226	#529×C₈₉	C₂²	1	1	yes	characteristic
227	#529×C₈₉	C₂²	1	4	yes	complemented
228	#529×C₈₉	C₂²	1	4	yes	complemented
229	#529×C₈₉	C₂²	1	2	yes	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	4	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	1	yes	characteristic, complemented
238	#529×C₈₉	C₂²	1	2	yes	complemented
239	#529×C₈₉	C₂²	1	2	yes	complemented
240	#529×C₈₉	C₂²	1	2	yes	complemented
241	#529×C₈₉	C₂²	1	4	yes	complemented
242	C₂×#125×C₈₉	C₂²	1	2	yes	complemented
243	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
244	#525×C₈₉	C₂²	1	4	yes	complemented
245	#525×C₈₉	C₂²	1	4	yes	complemented
246	#525×C₈₉	C₂²	1	4	yes	complemented
247	#525×C₈₉	C₂²	1	4	yes	complemented
248	C₂×#123×C₈₉	C₂²	1	4	yes	complemented
249	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	4	yes	complemented
250	#520×C₈₉	C₂²	1	2	yes	complemented
251	#520×C₈₉	C₂²	1	2	yes	complemented
252	#520×C₈₉	C₂²	1	2	yes	complemented
253	#520×C₈₉	C₂²	1	2	yes	complemented
254	#519×C₈₉	C₂²	1	1	yes	characteristic, complemented
255	#518×C₈₉	C₂²	1	1	yes	characteristic
256	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
257	C₂×C₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
258	C₂×C₄×D₄×C₈₉	C₂²	1	2	yes	complemented
259	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
260	C₂×#41×C₈₉	C₂³	1	2	yes	—
261	C₂×#41×C₈₉	C₂³	1	2	yes	—
262	C₂×#41×C₈₉	C₂³	1	2	yes	—
263	C₂×#41×C₈₉	C₂³	1	2	yes	—
264	C₂×#41×C₈₉	C₂³	1	4	yes	—
265	C₂×#41×C₈₉	C₂³	1	2	yes	—
266	C₂×#41×C₈₉	C₂³	1	4	yes	—
267	C₂×#41×C₈₉	C₂³	1	2	yes	—
268	C₂×#41×C₈₉	C₂³	1	2	yes	—
269	C₂×#41×C₈₉	C₂³	1	4	yes	—
270	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
271	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
272	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
273	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
274	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
275	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
276	C₂³×C₄×C₈₉	C₂³	1	4	yes	—
277	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
278	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
279	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
280	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
281	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
282	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
283	C₄⋊Q₈×C₈₉	C₂³	1	2	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	1	yes	characteristic
289	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
290	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
291	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
292	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
293	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
294	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
295	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
296	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
297	#127×C₈₉	C₂³	1	1	yes	characteristic
298	#127×C₈₉	C₂³	1	2	yes	—
299	#127×C₈₉	C₂³	1	2	yes	—
300	#127×C₈₉	C₂³	1	2	yes	—
301	#127×C₈₉	C₂³	1	4	yes	—
302	#127×C₈₉	C₂³	1	2	yes	—
303	#127×C₈₉	C₂³	1	4	yes	—
304	#126×C₈₉	C₂³	1	2	yes	—
305	#126×C₈₉	C₂³	1	4	yes	—
306	#126×C₈₉	C₂³	1	4	yes	—
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	2	yes	—
317	#126×C₈₉	C₂³	1	2	yes	—
318	#126×C₈₉	C₂³	1	2	yes	—
319	#126×C₈₉	C₂³	1	2	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	4	yes	—
326	#126×C₈₉	C₂³	1	4	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	4	yes	—
332	#126×C₈₉	C₂³	1	4	yes	—
333	#126×C₈₉	C₂³	1	4	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	#125×C₈₉	C₂³	1	1	yes	characteristic
341	#125×C₈₉	C₂³	1	2	yes	—
342	#125×C₈₉	C₂³	1	4	yes	—
343	#125×C₈₉	C₂³	1	2	yes	—
344	#125×C₈₉	C₂³	1	2	yes	—
345	#125×C₈₉	C₂³	1	4	yes	—
346	#125×C₈₉	C₂³	1	2	yes	—
347	#125×C₈₉	C₂³	1	1	yes	characteristic
348	#125×C₈₉	C₂³	1	1	yes	characteristic
349	#125×C₈₉	C₂³	1	1	yes	characteristic
350	#125×C₈₉	C₂³	1	4	yes	—
351	#125×C₈₉	C₂³	1	2	yes	—
352	#125×C₈₉	C₂³	1	2	yes	—
353	#125×C₈₉	C₂³	1	2	yes	—
354	#125×C₈₉	C₂³	1	4	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	4	yes	—
361	#125×C₈₉	C₂³	1	2	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	4	yes	—
366	#125×C₈₉	C₂³	1	4	yes	—
367	#125×C₈₉	C₂³	1	4	yes	—
368	#125×C₈₉	C₂³	1	4	yes	—
369	#125×C₈₉	C₂³	1	4	yes	—
370	#125×C₈₉	C₂³	1	4	yes	—
371	#124×C₈₉	C₂³	1	2	yes	—
372	#124×C₈₉	C₂³	1	2	yes	—
373	#124×C₈₉	C₂³	1	2	yes	—
374	#124×C₈₉	C₂³	1	2	yes	—
375	#124×C₈₉	C₂³	1	1	yes	characteristic
376	#124×C₈₉	C₂³	1	2	yes	—
377	#124×C₈₉	C₂³	1	2	yes	—
378	#124×C₈₉	C₂³	1	1	yes	characteristic
379	#124×C₈₉	C₂³	1	2	yes	—
380	#124×C₈₉	C₂³	1	4	yes	—
381	#124×C₈₉	C₂³	1	4	yes	—
382	#124×C₈₉	C₂³	1	4	yes	—
383	#124×C₈₉	C₂³	1	2	yes	—
384	#124×C₈₉	C₂³	1	4	yes	—
385	#124×C₈₉	C₂³	1	2	yes	—
386	#124×C₈₉	C₂³	1	2	yes	—
387	#124×C₈₉	C₂³	1	4	yes	—
388	#124×C₈₉	C₂³	1	2	yes	—
389	#124×C₈₉	C₂³	1	2	yes	—
390	#124×C₈₉	C₂³	1	2	yes	—
391	#124×C₈₉	C₂³	1	4	yes	—
392	#124×C₈₉	C₂³	1	2	yes	—
393	#124×C₈₉	C₂³	1	2	yes	—
394	#124×C₈₉	C₂³	1	4	yes	—
395	#124×C₈₉	C₂³	1	4	yes	—
396	#124×C₈₉	C₂³	1	4	yes	—
397	#124×C₈₉	C₂³	1	4	yes	—
398	#124×C₈₉	C₂³	1	4	yes	—
399	#124×C₈₉	C₂³	1	4	yes	—
400	#124×C₈₉	C₂³	1	4	yes	—
401	#124×C₈₉	C₂³	1	4	yes	—
402	#124×C₈₉	C₂³	1	4	yes	—
403	#124×C₈₉	C₂³	1	4	yes	—
404	#124×C₈₉	C₂³	1	4	yes	—
405	#123×C₈₉	C₂³	1	2	yes	—
406	#123×C₈₉	C₂³	1	4	yes	—
407	#123×C₈₉	C₂³	1	4	yes	—
408	#123×C₈₉	C₂³	1	4	yes	—
409	#123×C₈₉	C₂³	1	4	yes	—
410	#123×C₈₉	C₂³	1	4	yes	—
411	#123×C₈₉	C₂³	1	4	yes	—
412	#123×C₈₉	C₂³	1	4	yes	—
413	#123×C₈₉	C₂³	1	2	yes	—
414	#123×C₈₉	C₂³	1	4	yes	—
415	#123×C₈₉	C₂³	1	4	yes	—
416	#123×C₈₉	C₂³	1	4	yes	—
417	#123×C₈₉	C₂³	1	4	yes	—
418	#123×C₈₉	C₂³	1	4	yes	—
419	#123×C₈₉	C₂³	1	4	yes	—
420	#123×C₈₉	C₂³	1	2	yes	—
421	#123×C₈₉	C₂³	1	2	yes	—
422	#123×C₈₉	C₂³	1	2	yes	—
423	#123×C₈₉	C₂³	1	4	yes	—
424	#123×C₈₉	C₂³	1	4	yes	—
425	#123×C₈₉	C₂³	1	4	yes	—
426	#123×C₈₉	C₂³	1	4	yes	—
427	#123×C₈₉	C₂³	1	4	yes	—
428	#123×C₈₉	C₂³	1	2	yes	—
429	#123×C₈₉	C₂³	1	2	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	4	yes	—
434	#123×C₈₉	C₂³	1	4	yes	—
435	#123×C₈₉	C₂³	1	2	yes	—
436	#123×C₈₉	C₂³	1	2	yes	—
437	#123×C₈₉	C₂³	1	2	yes	—
438	#123×C₈₉	C₂³	1	4	yes	—
439	#123×C₈₉	C₂³	1	4	yes	—
440	#123×C₈₉	C₂³	1	4	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	4	yes	—
448	#123×C₈₉	C₂³	1	4	yes	—
449	#123×C₈₉	C₂³	1	4	yes	—
450	#123×C₈₉	C₂³	1	4	yes	—
451	#123×C₈₉	C₂³	1	4	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	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
459	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
460	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
461	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
462	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
463	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
464	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
465	C₂²⋊Q₈×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	4	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	1	yes	characteristic
474	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
475	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
476	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
477	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
478	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
479	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
480	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
481	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
482	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
483	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
484	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
485	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
486	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
487	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
488	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
489	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
490	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
491	C₂²⋊Q₈×C₈₉	C₂³	1	2	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	2	yes	—
496	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
497	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
498	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
499	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
500	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
501	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
502	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
503	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
504	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
505	C₂²⋊Q₈×C₈₉	C₂³	1	4	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	4	yes	—
511	C₂²⋊Q₈×C₈₉	C₂³	1	4	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	4	yes	—
516	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
517	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
518	#121×C₈₉	C₂³	1	2	yes	—
519	#121×C₈₉	C₂³	1	4	yes	—
520	#121×C₈₉	C₂³	1	4	yes	—
521	#121×C₈₉	C₂³	1	4	yes	—
522	#121×C₈₉	C₂³	1	4	yes	—
523	#121×C₈₉	C₂³	1	4	yes	—
524	#121×C₈₉	C₂³	1	4	yes	—
525	#121×C₈₉	C₂³	1	1	yes	characteristic
526	#121×C₈₉	C₂³	1	2	yes	—
527	#121×C₈₉	C₂³	1	4	yes	—
528	#121×C₈₉	C₂³	1	2	yes	—
529	#121×C₈₉	C₂³	1	4	yes	—
530	#121×C₈₉	C₂³	1	2	yes	—
531	#121×C₈₉	C₂³	1	2	yes	—
532	#121×C₈₉	C₂³	1	2	yes	—
533	#121×C₈₉	C₂³	1	2	yes	—
534	#121×C₈₉	C₂³	1	2	yes	—
535	#121×C₈₉	C₂³	1	1	yes	characteristic
536	#121×C₈₉	C₂³	1	4	yes	—
537	#121×C₈₉	C₂³	1	4	yes	—
538	#121×C₈₉	C₂³	1	2	yes	—
539	#121×C₈₉	C₂³	1	2	yes	—
540	#121×C₈₉	C₂³	1	2	yes	—
541	#121×C₈₉	C₂³	1	4	yes	—
542	#121×C₈₉	C₂³	1	2	yes	—
543	#121×C₈₉	C₂³	1	4	yes	—
544	#121×C₈₉	C₂³	1	4	yes	—
545	#121×C₈₉	C₂³	1	4	yes	—
546	#121×C₈₉	C₂³	1	4	yes	—
547	#121×C₈₉	C₂³	1	2	yes	—
548	#121×C₈₉	C₂³	1	4	yes	—
549	#121×C₈₉	C₂³	1	2	yes	—
550	#121×C₈₉	C₂³	1	4	yes	—
551	#121×C₈₉	C₂³	1	4	yes	—
552	#121×C₈₉	C₂³	1	4	yes	—
553	#121×C₈₉	C₂³	1	4	yes	—
554	#121×C₈₉	C₂³	1	4	yes	—
555	#121×C₈₉	C₂³	1	4	yes	—
556	#121×C₈₉	C₂³	1	4	yes	—
557	#121×C₈₉	C₂³	1	4	yes	—
558	#121×C₈₉	C₂³	1	4	yes	—
559	#121×C₈₉	C₂³	1	4	yes	—
560	#121×C₈₉	C₂³	1	4	yes	—
561	#121×C₈₉	C₂³	1	4	yes	—
562	#121×C₈₉	C₂³	1	4	yes	—
563	#121×C₈₉	C₂³	1	4	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	#120×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	#120×C₈₉	C₂³	1	4	yes	—
574	#120×C₈₉	C₂³	1	4	yes	—
575	#120×C₈₉	C₂³	1	4	yes	—
576	#120×C₈₉	C₂³	1	4	yes	—
577	#120×C₈₉	C₂³	1	4	yes	—
578	#120×C₈₉	C₂³	1	4	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	4	yes	—
583	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
584	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
585	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
586	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
587	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
588	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
589	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
590	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
591	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
592	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
593	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
594	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
595	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
596	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
597	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
598	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
599	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
600	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
601	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
602	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
603	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
604	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
605	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
606	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
607	C₄×D₄×C₈₉	C₂³	1	2	yes	—
608	C₄×D₄×C₈₉	C₂³	1	2	yes	—
609	C₄×D₄×C₈₉	C₂³	1	4	yes	—
610	C₄×D₄×C₈₉	C₂³	1	4	yes	—
611	C₄×D₄×C₈₉	C₂³	1	2	yes	—
612	C₄×D₄×C₈₉	C₂³	1	2	yes	—
613	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
614	C₄×D₄×C₈₉	C₂³	1	2	yes	—
615	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
616	C₄×D₄×C₈₉	C₂³	1	2	yes	—
617	C₄×D₄×C₈₉	C₂³	1	2	yes	—
618	C₄×D₄×C₈₉	C₂³	1	2	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	4	yes	—
623	C₄×D₄×C₈₉	C₂³	1	4	yes	—
624	C₄×D₄×C₈₉	C₂³	1	4	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	2	yes	—
629	C₄×D₄×C₈₉	C₂³	1	2	yes	—
630	C₄×D₄×C₈₉	C₂³	1	2	yes	—
631	C₄×D₄×C₈₉	C₂³	1	2	yes	—
632	C₄×D₄×C₈₉	C₂³	1	2	yes	—
633	C₄×D₄×C₈₉	C₂³	1	4	yes	—
634	C₄×D₄×C₈₉	C₂³	1	4	yes	—
635	C₄×D₄×C₈₉	C₂³	1	4	yes	—
636	C₄×D₄×C₈₉	C₂³	1	4	yes	—
637	C₄×D₄×C₈₉	C₂³	1	4	yes	—
638	C₄×D₄×C₈₉	C₂³	1	4	yes	—
639	C₄×D₄×C₈₉	C₂³	1	2	yes	—
640	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
641	C₄×D₄×C₈₉	C₂³	1	4	yes	—
642	C₄×D₄×C₈₉	C₂³	1	2	yes	—
643	C₄×D₄×C₈₉	C₂³	1	2	yes	—
644	C₄×D₄×C₈₉	C₂³	1	2	yes	—
645	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
646	C₄×D₄×C₈₉	C₂³	1	4	yes	—
647	C₄×D₄×C₈₉	C₂³	1	4	yes	—
648	C₄×D₄×C₈₉	C₂³	1	4	yes	—
649	C₄×D₄×C₈₉	C₂³	1	4	yes	—
650	C₄×D₄×C₈₉	C₂³	1	4	yes	—
651	C₄×D₄×C₈₉	C₂³	1	4	yes	—
652	C₄×D₄×C₈₉	C₂³	1	4	yes	—
653	C₄×D₄×C₈₉	C₂³	1	4	yes	—
654	C₄×D₄×C₈₉	C₂³	1	4	yes	—
655	C₄×D₄×C₈₉	C₂³	1	2	yes	—
656	C₄×D₄×C₈₉	C₂³	1	4	yes	—
657	C₄×D₄×C₈₉	C₂³	1	2	yes	—
658	C₄×D₄×C₈₉	C₂³	1	4	yes	—
659	C₄×D₄×C₈₉	C₂³	1	4	yes	—
660	C₄×D₄×C₈₉	C₂³	1	4	yes	—
661	C₄×D₄×C₈₉	C₂³	1	4	yes	—
662	C₄×D₄×C₈₉	C₂³	1	4	yes	—
663	#117×C₈₉	C₂³	1	1	yes	characteristic
664	#117×C₈₉	C₂³	1	2	yes	—
665	#117×C₈₉	C₂³	1	1	yes	characteristic
666	#117×C₈₉	C₂³	1	1	yes	characteristic
667	#117×C₈₉	C₂³	1	4	yes	—
668	#117×C₈₉	C₂³	1	2	yes	—
669	#117×C₈₉	C₂³	1	2	yes	—
670	#117×C₈₉	C₂³	1	2	yes	—
671	#117×C₈₉	C₂³	1	2	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	4	yes	—
678	#117×C₈₉	C₂³	1	4	yes	—
679	#117×C₈₉	C₂³	1	4	yes	—
680	#117×C₈₉	C₂³	1	4	yes	—
681	#117×C₈₉	C₂³	1	4	yes	—
682	#117×C₈₉	C₂³	1	4	yes	—
683	#117×C₈₉	C₂³	1	4	yes	—
684	#117×C₈₉	C₂³	1	4	yes	—
685	#117×C₈₉	C₂³	1	4	yes	—
686	#117×C₈₉	C₂³	1	2	yes	—
687	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
688	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	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	4	yes	—
696	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
697	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
698	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	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	2	yes	—
706	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
707	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
708	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
709	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
710	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
711	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
712	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
713	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
714	#41×C₈₉	—	4	2	no	—
715	#41×C₈₉	—	4	4	no	—
716	#41×C₈₉	—	4	4	no	—
717	#41×C₈₉	—	4	4	no	—
718	#41×C₈₉	—	4	4	no	—
719	#41×C₈₉	—	8	4	no	—
720	#41×C₈₉	—	8	2	no	—
721	#41×C₈₉	—	8	4	no	—
722	#41×C₈₉	—	8	4	no	—
723	#41×C₈₉	—	8	2	no	—
724	#41×C₈₉	—	8	2	no	—
725	C₂×Q₈×C₈₉	—	4	2	no	—
726	C₂×Q₈×C₈₉	—	4	4	no	—
727	C₂×Q₈×C₈₉	—	8	4	no	—
728	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
729	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
730	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
731	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
732	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
733	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
734	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
735	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
736	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
737	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
738	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
739	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
740	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
741	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
742	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
743	C₂×D₄×C₈₉	—	4	2	no	—
744	C₂×D₄×C₈₉	—	4	4	no	—
745	C₂×D₄×C₈₉	—	8	4	no	—
746	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
747	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
748	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
749	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
750	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
751	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
752	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
753	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
754	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
755	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
756	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
757	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
758	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
759	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
760	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
761	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
762	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
763	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
764	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
765	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
766	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
767	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
768	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
769	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
770	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
771	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
772	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
773	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
774	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
775	C₂²×C₄×C₈₉	—	8	4	no	—
776	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
777	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
778	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
779	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
780	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
781	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
782	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
783	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
784	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
785	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
786	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
787	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
788	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
789	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
790	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
791	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
792	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
793	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
794	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
795	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
796	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
797	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
798	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
799	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
800	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
801	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
802	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
803	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
804	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
805	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
806	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
807	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
808	C₄⋊C₄×C₈₉	C₂⁴	1	4	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	2	yes	—
814	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
815	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
816	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
817	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
818	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
819	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
820	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
821	C₄⋊C₄×C₈₉	C₂⁴	1	2	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	4	yes	—
826	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
827	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
828	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
829	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
830	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
831	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
832	C₄⋊C₄×C₈₉	C₂⁴	1	2	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	2	yes	—
840	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
841	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
842	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
844	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
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	2	yes	—
849	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
850	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
851	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
852	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
853	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
854	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
855	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
856	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
857	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
858	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
859	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
860	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
861	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
862	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
863	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
864	C₄⋊C₄×C₈₉	C₂⁴	1	2	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	4	yes	—
874	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
876	C₄⋊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	2	yes	—
881	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
882	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
883	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
884	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	2	yes	—
903	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
904	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
905	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
906	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
907	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
908	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₈₉	C₂⁴	1	2	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	2	yes	—
914	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
916	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
917	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
918	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
919	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
924	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
926	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
927	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
928	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
929	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
930	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
931	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
932	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
933	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
934	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
935	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
936	C₄²×C₈₉	C₂⁴	1	2	yes	—
937	C₄²×C₈₉	C₂⁴	1	2	yes	—
938	C₄²×C₈₉	C₂⁴	1	4	yes	—
939	C₄²×C₈₉	C₂⁴	1	4	yes	—
940	C₄²×C₈₉	C₂⁴	1	2	yes	—
941	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
946	C₄²×C₈₉	C₂⁴	1	2	yes	—
947	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
948	C₄²×C₈₉	C₂⁴	1	2	yes	—
949	C₄²×C₈₉	C₂⁴	1	2	yes	—
950	C₄²×C₈₉	C₂⁴	1	4	yes	—
951	C₄²×C₈₉	C₂⁴	1	2	yes	—
952	C₄²×C₈₉	C₂⁴	1	2	yes	—
953	C₄²×C₈₉	C₂⁴	1	4	yes	—
954	C₄²×C₈₉	C₂⁴	1	4	yes	—
955	C₄²×C₈₉	C₂⁴	1	4	yes	—
956	C₄²×C₈₉	C₂⁴	1	4	yes	—
957	C₄²×C₈₉	C₂⁴	1	4	yes	—
958	C₄²×C₈₉	C₂⁴	1	4	yes	—
959	C₂³×C₈₉	—	4	4	no	—
960	C₂³×C₈₉	—	4	4	no	—
961	C₂³×C₈₉	—	4	4	no	—
962	C₂³×C₈₉	—	4	2	no	—
963	C₂³×C₈₉	—	4	2	no	—
964	C₂³×C₈₉	—	4	2	no	—
965	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
966	C₂³×C₈₉	C₂⁵	1	2	yes	—
967	C₂³×C₈₉	C₂⁵	1	4	yes	—
968	C₂³×C₈₉	C₂⁵	1	4	yes	—
969	C₂³×C₈₉	C₂⁵	1	2	yes	—
970	C₂³×C₈₉	C₂⁵	1	2	yes	—
971	Q₈×C₈₉	—	2	4	no	—
972	Q₈×C₈₉	—	2	4	no	—
973	Q₈×C₈₉	—	2	2	no	—
974	Q₈×C₈₉	—	4	4	no	—
975	Q₈×C₈₉	—	4	2	no	—
976	Q₈×C₈₉	—	4	2	no	—
977	Q₈×C₈₉	—	4	2	no	—
978	Q₈×C₈₉	—	4	4	no	—
979	Q₈×C₈₉	—	4	4	no	—
980	Q₈×C₈₉	—	4	1	no	—
981	Q₈×C₈₉	—	4	2	no	—
982	Q₈×C₈₉	—	4	2	no	—
983	Q₈×C₈₉	—	4	2	no	—
984	Q₈×C₈₉	—	4	1	no	—
985	Q₈×C₈₉	—	4	2	no	—
986	D₄×C₈₉	—	2	4	no	—
987	D₄×C₈₉	—	2	4	no	—
988	D₄×C₈₉	—	2	2	no	—
989	D₄×C₈₉	—	4	4	no	—
990	D₄×C₈₉	—	4	2	no	—
991	D₄×C₈₉	—	4	2	no	—
992	D₄×C₈₉	—	4	4	no	—
993	D₄×C₈₉	—	4	4	no	—
994	D₄×C₈₉	—	4	4	no	—
995	D₄×C₈₉	—	4	4	no	—
996	D₄×C₈₉	—	4	1	no	—
997	D₄×C₈₉	—	4	2	no	—
998	D₄×C₈₉	—	4	4	no	—
999	D₄×C₈₉	—	4	2	no	—
1000	D₄×C₈₉	—	4	4	no	—
1001	D₄×C₈₉	—	4	4	no	—
1002	D₄×C₈₉	—	4	2	no	—
1003	D₄×C₈₉	—	4	4	no	—
1004	D₄×C₈₉	—	4	2	no	—
1005	D₄×C₈₉	—	4	4	no	—
1006	D₄×C₈₉	—	4	4	no	—
1007	D₄×C₈₉	—	4	4	no	—
1008	D₄×C₈₉	—	4	4	no	—
1009	D₄×C₈₉	—	4	2	no	—
1010	D₄×C₈₉	—	4	4	no	—
1011	D₄×C₈₉	—	4	2	no	—
1012	D₄×C₈₉	—	4	4	no	—
1013	D₄×C₈₉	—	4	1	no	—
1014	D₄×C₈₉	—	4	4	no	—
1015	C₂×C₄×C₈₉	—	2	2	no	—
1016	C₂×C₄×C₈₉	—	2	4	no	—
1017	C₂×C₄×C₈₉	—	2	4	no	—
1018	C₂×C₄×C₈₉	—	4	2	no	—
1019	C₂×C₄×C₈₉	—	4	4	no	—
1020	C₂×C₄×C₈₉	—	4	4	no	—
1021	C₂×C₄×C₈₉	—	4	4	no	—
1022	C₂×C₄×C₈₉	—	4	4	no	—
1023	C₂×C₄×C₈₉	—	4	4	no	—
1024	C₂×C₄×C₈₉	—	4	2	no	—
1025	C₂×C₄×C₈₉	—	4	4	no	—
1026	C₂×C₄×C₈₉	—	4	1	no	—
1027	C₂×C₄×C₈₉	—	4	2	no	—
1028	C₂×C₄×C₈₉	—	4	2	no	—
1029	C₂×C₄×C₈₉	—	4	4	no	—
1030	C₂×C₄×C₈₉	—	4	4	no	—
1031	C₂×C₄×C₈₉	—	4	2	no	—
1032	C₂×C₄×C₈₉	—	4	4	no	—
1033	C₂×C₄×C₈₉	—	4	4	no	—
1034	C₂×C₄×C₈₉	—	4	4	no	—
1035	C₂×C₄×C₈₉	—	4	4	no	—
1036	C₂×C₄×C₈₉	—	4	4	no	—
1037	C₂×C₄×C₈₉	—	4	4	no	—
1038	C₂×C₄×C₈₉	—	4	2	no	—
1039	C₂×C₄×C₈₉	—	4	4	no	—
1040	C₂×C₄×C₈₉	—	4	2	no	—
1041	C₂×C₄×C₈₉	—	4	4	no	—
1042	C₂×C₄×C₈₉	—	4	2	no	—
1043	C₂×C₄×C₈₉	—	4	1	no	—
1044	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1045	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1046	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1047	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1048	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1049	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1050	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1051	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1052	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1053	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1054	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1055	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1056	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1057	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1058	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1059	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1060	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1061	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1062	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
1063	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1064	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1065	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
1066	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
1067	C₂²×C₈₉	—	2	2	no	—
1068	C₂²×C₈₉	—	2	1	no	—
1069	C₂²×C₈₉	—	2	2	no	—
1070	C₂²×C₈₉	—	2	2	no	—
1071	C₂²×C₈₉	—	2	4	no	—
1072	C₂²×C₈₉	—	2	4	no	—
1073	C₂²×C₈₉	—	2	4	no	—
1074	C₂²×C₈₉	—	2	2	no	—
1075	C₂²×C₈₉	—	2	2	no	—
1076	C₂²×C₈₉	—	2	2	no	—
1077	C₂²×C₈₉	—	2	4	no	—
1078	C₂²×C₈₉	—	2	1	no	—
1079	C₂²×C₈₉	—	2	2	no	—
1080	C₂²×C₈₉	—	2	2	no	—
1081	C₂²×C₈₉	—	2	2	no	—
1082	C₂²×C₈₉	—	2	4	no	—
1083	C₂²×C₈₉	—	2	1	no	—
1084	C₂²×C₈₉	—	2	4	no	—
1085	C₂²×C₈₉	—	8	8	no	—
1086	C₂²×C₈₉	—	16	2	no	—
1087	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
1088	C₄×C₈₉	—	2	2	no	—
1089	C₄×C₈₉	—	2	2	no	—
1090	C₄×C₈₉	—	2	1	no	—
1091	C₄×C₈₉	—	2	2	no	—
1092	C₄×C₈₉	—	2	4	no	—
1093	C₄×C₈₉	—	2	4	no	—
1094	C₄×C₈₉	—	2	2	no	—
1095	C₄×C₈₉	—	2	2	no	—
1096	C₄×C₈₉	—	2	2	no	—
1097	C₄×C₈₉	—	2	2	no	—
1098	C₄×C₈₉	—	2	4	no	—
1099	C₄×C₈₉	—	2	1	no	—
1100	C₄×C₈₉	—	2	4	no	—
1101	C₄×C₈₉	—	2	1	no	—
1102	C₄×C₈₉	—	2	2	no	—
1103	C₄×C₈₉	—	2	2	no	—
1104	C₄×C₈₉	—	2	1	no	—
1105	C₄×C₈₉	—	2	2	no	—
1106	C₄×C₈₉	—	2	2	no	—
1107	C₄×C₈₉	—	2	2	no	—
1108	C₄×C₈₉	—	2	1	no	—
1109	C₄×C₈₉	—	2	2	no	—
1110	C₄×C₈₉	#585	1	2	yes	—
1111	#63056	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
1112	C₂×C₈₉	—	4	2	no	—
1113	C₂×C₈₉	—	4	2	no	—
1114	C₂×C₈₉	—	4	4	no	—
1115	C₂×C₈₉	—	4	2	no	—
1116	C₂×C₈₉	—	4	4	no	—
1117	C₂×C₈₉	—	4	1	no	—
1118	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
1119	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
1120	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
1121	#3568	C₂×C₈₉	1	2	yes	complemented
1122	#3566	C₂×C₈₉	1	4	yes	complemented
1123	#3566	C₂×C₈₉	1	4	yes	complemented
1124	#3562	C₂×C₈₉	1	2	yes	complemented
1125	#3562	C₂×C₈₉	1	2	yes	complemented
1126	#3562	C₂×C₈₉	1	4	yes	complemented
1127	#3561	C₂×C₈₉	1	1	yes	characteristic, complemented
1128	#3559	C₂×C₈₉	1	2	yes	complemented
1129	#3558	C₂×C₈₉	1	1	yes	characteristic, complemented
1130	#3555	C₂×C₈₉	1	2	yes	complemented
1131	#3554	C₂×C₈₉	1	2	yes	complemented
1132	#3554	C₂×C₈₉	1	2	yes	complemented
1133	#3553	C₂×C₈₉	1	2	yes	complemented
1134	#3550	C₂×C₈₉	1	1	yes	characteristic, complemented
1135	#3546	C₂×C₈₉	1	2	yes	complemented
1136	#3541	C₂×C₈₉	1	4	yes	complemented
1137	#3535	C₂×C₈₉	1	4	yes	complemented
1138	#3533	C₂×C₈₉	1	4	yes	complemented
1139	#3531	C₂×C₈₉	1	1	yes	characteristic, complemented
1140	#3529	C₂×C₈₉	1	2	yes	complemented
1141	#3522	C₂×C₈₉	1	2	yes	complemented
1142	#3520	C₂×C₈₉	1	2	yes	complemented
1143	#3517	C₂×C₈₉	1	1	yes	characteristic, complemented
1144	#3516	C₂×C₈₉	1	2	yes	complemented
1145	#3515	C₂×C₈₉	1	1	yes	characteristic, complemented
1146	#3513	C₂×C₈₉	1	2	yes	complemented
1147	#3510	C₂×C₈₉	1	1	yes	characteristic, complemented
1148	#3507	C₂×C₈₉	1	2	yes	complemented
1149	#3506	C₂×C₈₉	1	2	yes	complemented
1150	C₈₉	#63056	1	1	yes	characteristic, direct product factor, Sylow
1151	#564	C₂²×C₈₉	1	1	yes	characteristic, complemented
1152	#563	C₂²×C₈₉	1	4	yes	complemented
1153	#563	C₂²×C₈₉	1	2	yes	complemented
1154	#563	C₂²×C₈₉	1	2	yes	complemented
1155	#563	C₂²×C₈₉	1	2	yes	complemented
1156	#563	C₂²×C₈₉	1	1	yes	characteristic, complemented
1157	#563	C₂²×C₈₉	1	2	yes	complemented
1158	#563	C₂²×C₈₉	1	2	yes	complemented
1159	#563	C₂²×C₈₉	1	1	yes	characteristic, complemented
1160	#563	C₂²×C₈₉	1	4	yes	complemented
1161	#563	C₂²×C₈₉	1	2	yes	complemented
1162	#563	C₂²×C₈₉	1	2	yes	complemented
1163	#562	C₂²×C₈₉	1	2	yes	—
1164	#562	C₂²×C₈₉	1	2	yes	—
1165	#562	C₂²×C₈₉	1	1	yes	characteristic, complemented
1166	#562	C₂²×C₈₉	1	4	yes	complemented
1167	#562	C₂²×C₈₉	1	4	yes	complemented
1168	#562	C₂²×C₈₉	1	2	yes	complemented
1169	#562	C₂²×C₈₉	1	2	yes	complemented
1170	#562	C₂²×C₈₉	1	4	yes	complemented
1171	#562	C₂²×C₈₉	1	4	yes	complemented
1172	#562	C₂²×C₈₉	1	4	yes	complemented
1173	#562	C₂²×C₈₉	1	4	yes	complemented
1174	H(3,𝔽₄)	C₂²×C₈₉	1	2	yes	—
1175	#560	C₂²×C₈₉	1	4	yes	complemented
1176	#560	C₂²×C₈₉	1	4	yes	complemented
1177	#560	C₂²×C₈₉	1	4	yes	complemented
1178	#560	C₂²×C₈₉	1	4	yes	complemented
1179	#559	C₂²×C₈₉	1	2	yes	—
1180	#559	C₂²×C₈₉	1	2	yes	—
1181	#559	C₂²×C₈₉	1	2	yes	complemented
1182	#559	C₂²×C₈₉	1	2	yes	complemented
1183	#559	C₂²×C₈₉	1	2	yes	complemented
1184	#559	C₂²×C₈₉	1	2	yes	complemented
1185	#559	C₂²×C₈₉	1	4	yes	complemented
1186	#559	C₂²×C₈₉	1	4	yes	complemented
1187	Q₈²	C₂²×C₈₉	1	2	yes	complemented
1188	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
1189	#557	C₂²×C₈₉	1	2	yes	complemented
1190	#557	C₂²×C₈₉	1	2	yes	complemented
1191	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
1192	#556	C₂²×C₈₉	1	2	yes	complemented
1193	#556	C₂²×C₈₉	1	2	yes	complemented
1194	#556	C₂²×C₈₉	1	2	yes	complemented
1195	#556	C₂²×C₈₉	1	2	yes	complemented
1196	#556	C₂²×C₈₉	1	2	yes	complemented
1197	#556	C₂²×C₈₉	1	4	yes	complemented
1198	#556	C₂²×C₈₉	1	2	yes	complemented
1199	#556	C₂²×C₈₉	1	4	yes	complemented
1200	#556	C₂²×C₈₉	1	2	yes	complemented
1201	#556	C₂²×C₈₉	1	4	yes	complemented
1202	#555	C₂²×C₈₉	1	4	yes	complemented
1203	#554	C₂²×C₈₉	1	4	yes	complemented
1204	#554	C₂²×C₈₉	1	2	yes	complemented
1205	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
1206	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
1207	#554	C₂²×C₈₉	1	2	yes	complemented
1208	#554	C₂²×C₈₉	1	4	yes	complemented
1209	#554	C₂²×C₈₉	1	4	yes	complemented
1210	#554	C₂²×C₈₉	1	4	yes	complemented
1211	#553	C₂²×C₈₉	1	2	yes	—
1212	#553	C₂²×C₈₉	1	4	yes	complemented
1213	#553	C₂²×C₈₉	1	4	yes	complemented
1214	#553	C₂²×C₈₉	1	2	yes	complemented
1215	#553	C₂²×C₈₉	1	4	yes	complemented
1216	#553	C₂²×C₈₉	1	4	yes	complemented
1217	#553	C₂²×C₈₉	1	4	yes	complemented
1218	#553	C₂²×C₈₉	1	4	yes	complemented
1219	#553	C₂²×C₈₉	1	4	yes	complemented
1220	#553	C₂²×C₈₉	1	4	yes	complemented
1221	#552	C₂²×C₈₉	1	4	yes	complemented
1222	#552	C₂²×C₈₉	1	4	yes	complemented
1223	#552	C₂²×C₈₉	1	2	yes	complemented
1224	#552	C₂²×C₈₉	1	4	yes	complemented
1225	#552	C₂²×C₈₉	1	2	yes	complemented
1226	#552	C₂²×C₈₉	1	4	yes	complemented
1227	#552	C₂²×C₈₉	1	4	yes	complemented
1228	#552	C₂²×C₈₉	1	4	yes	complemented
1229	#551	C₂²×C₈₉	1	4	yes	complemented
1230	#551	C₂²×C₈₉	1	4	yes	complemented
1231	#551	C₂²×C₈₉	1	4	yes	complemented
1232	#551	C₂²×C₈₉	1	4	yes	complemented
1233	#551	C₂²×C₈₉	1	4	yes	complemented
1234	#551	C₂²×C₈₉	1	4	yes	complemented
1235	#551	C₂²×C₈₉	1	4	yes	complemented
1236	#551	C₂²×C₈₉	1	4	yes	complemented
1237	#551	C₂²×C₈₉	1	4	yes	complemented
1238	#550	C₂²×C₈₉	1	2	yes	—
1239	#550	C₂²×C₈₉	1	2	yes	—
1240	#550	C₂²×C₈₉	1	1	yes	characteristic, complemented
1241	#550	C₂²×C₈₉	1	2	yes	complemented
1242	#550	C₂²×C₈₉	1	2	yes	complemented
1243	#550	C₂²×C₈₉	1	1	yes	characteristic, complemented
1244	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1245	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1246	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1247	#548	C₂²×C₈₉	1	2	yes	—
1248	#548	C₂²×C₈₉	1	2	yes	complemented
1249	#548	C₂²×C₈₉	1	4	yes	complemented
1250	#548	C₂²×C₈₉	1	2	yes	complemented
1251	#548	C₂²×C₈₉	1	2	yes	complemented
1252	#548	C₂²×C₈₉	1	4	yes	complemented
1253	#547	C₂²×C₈₉	1	2	yes	—
1254	#547	C₂²×C₈₉	1	4	yes	complemented
1255	#547	C₂²×C₈₉	1	2	yes	complemented
1256	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1257	#547	C₂²×C₈₉	1	1	yes	characteristic, complemented
1258	#547	C₂²×C₈₉	1	2	yes	complemented
1259	#547	C₂²×C₈₉	1	2	yes	complemented
1260	#547	C₂²×C₈₉	1	4	yes	complemented
1261	#547	C₂²×C₈₉	1	4	yes	complemented
1262	#547	C₂²×C₈₉	1	4	yes	complemented
1263	#546	C₂²×C₈₉	1	2	yes	—
1264	#546	C₂²×C₈₉	1	2	yes	—
1265	#546	C₂²×C₈₉	1	4	yes	—
1266	#546	C₂²×C₈₉	1	4	yes	complemented
1267	#546	C₂²×C₈₉	1	2	yes	complemented
1268	#546	C₂²×C₈₉	1	2	yes	complemented
1269	#546	C₂²×C₈₉	1	4	yes	complemented
1270	D₄²	C₂²×C₈₉	1	2	yes	—
1271	#544	C₂²×C₈₉	1	4	yes	complemented
1272	#543	C₂²×C₈₉	1	2	yes	complemented
1273	#542	C₂²×C₈₉	1	2	yes	—
1274	#542	C₂²×C₈₉	1	2	yes	—
1275	#542	C₂²×C₈₉	1	2	yes	complemented
1276	#542	C₂²×C₈₉	1	2	yes	complemented
1277	#542	C₂²×C₈₉	1	2	yes	complemented
1278	#542	C₂²×C₈₉	1	4	yes	complemented
1279	#542	C₂²×C₈₉	1	2	yes	complemented
1280	#542	C₂²×C₈₉	1	2	yes	complemented
1281	#542	C₂²×C₈₉	1	4	yes	complemented
1282	#542	C₂²×C₈₉	1	4	yes	complemented
1283	#542	C₂²×C₈₉	1	2	yes	complemented
1284	#542	C₂²×C₈₉	1	4	yes	complemented
1285	#542	C₂²×C₈₉	1	4	yes	complemented
1286	#542	C₂²×C₈₉	1	4	yes	complemented
1287	#542	C₂²×C₈₉	1	4	yes	complemented
1288	#541	C₂²×C₈₉	1	2	yes	complemented
1289	#541	C₂²×C₈₉	1	4	yes	complemented
1290	#541	C₂²×C₈₉	1	2	yes	complemented
1291	#541	C₂²×C₈₉	1	4	yes	complemented
1292	#541	C₂²×C₈₉	1	4	yes	complemented
1293	#541	C₂²×C₈₉	1	4	yes	complemented
1294	#540	C₂²×C₈₉	1	2	yes	—
1295	#540	C₂²×C₈₉	1	4	yes	complemented
1296	#540	C₂²×C₈₉	1	2	yes	complemented
1297	#540	C₂²×C₈₉	1	4	yes	complemented
1298	#540	C₂²×C₈₉	1	4	yes	complemented
1299	#540	C₂²×C₈₉	1	4	yes	complemented
1300	#539	C₂²×C₈₉	1	4	yes	complemented
1301	#539	C₂²×C₈₉	1	4	yes	complemented
1302	#539	C₂²×C₈₉	1	4	yes	complemented
1303	#539	C₂²×C₈₉	1	4	yes	complemented
1304	#539	C₂²×C₈₉	1	4	yes	complemented
1305	#539	C₂²×C₈₉	1	4	yes	complemented
1306	#539	C₂²×C₈₉	1	4	yes	complemented
1307	#539	C₂²×C₈₉	1	4	yes	complemented
1308	#539	C₂²×C₈₉	1	4	yes	complemented
1309	#539	C₂²×C₈₉	1	4	yes	complemented
1310	#539	C₂²×C₈₉	1	4	yes	complemented
1311	#539	C₂²×C₈₉	1	4	yes	complemented
1312	#538	C₂²×C₈₉	1	4	yes	—
1313	#538	C₂²×C₈₉	1	2	yes	—
1314	#538	C₂²×C₈₉	1	4	yes	complemented
1315	#538	C₂²×C₈₉	1	4	yes	complemented
1316	#538	C₂²×C₈₉	1	4	yes	complemented
1317	#538	C₂²×C₈₉	1	4	yes	complemented
1318	#538	C₂²×C₈₉	1	4	yes	complemented
1319	#538	C₂²×C₈₉	1	4	yes	complemented
1320	#538	C₂²×C₈₉	1	4	yes	complemented
1321	#538	C₂²×C₈₉	1	4	yes	complemented
1322	#538	C₂²×C₈₉	1	4	yes	complemented
1323	#538	C₂²×C₈₉	1	2	yes	complemented
1324	#537	C₂²×C₈₉	1	4	yes	complemented
1325	#536	C₂²×C₈₉	1	2	yes	complemented
1326	#536	C₂²×C₈₉	1	2	yes	complemented
1327	#536	C₂²×C₈₉	1	1	yes	characteristic, complemented
1328	#536	C₂²×C₈₉	1	4	yes	complemented
1329	#536	C₂²×C₈₉	1	4	yes	complemented
1330	#535	C₂²×C₈₉	1	2	yes	—
1331	#535	C₂²×C₈₉	1	1	yes	characteristic
1332	#535	C₂²×C₈₉	1	2	yes	complemented
1333	#535	C₂²×C₈₉	1	4	yes	complemented
1334	#534	C₂²×C₈₉	1	2	yes	—
1335	#533	C₂²×C₈₉	1	2	yes	complemented
1336	#533	C₂²×C₈₉	1	2	yes	complemented
1337	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1338	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
1339	#533	C₂²×C₈₉	1	2	yes	complemented
1340	#532	C₂²×C₈₉	1	2	yes	—
1341	#532	C₂²×C₈₉	1	1	yes	characteristic
1342	#532	C₂²×C₈₉	1	2	yes	complemented
1343	#532	C₂²×C₈₉	1	2	yes	complemented
1344	#532	C₂²×C₈₉	1	4	yes	complemented
1345	#532	C₂²×C₈₉	1	2	yes	complemented
1346	#529	C₂²×C₈₉	1	2	yes	—
1347	#529	C₂²×C₈₉	1	1	yes	characteristic
1348	#529	C₂²×C₈₉	1	4	yes	complemented
1349	#529	C₂²×C₈₉	1	4	yes	complemented
1350	#529	C₂²×C₈₉	1	2	yes	complemented
1351	#529	C₂²×C₈₉	1	2	yes	complemented
1352	#529	C₂²×C₈₉	1	2	yes	complemented
1353	#529	C₂²×C₈₉	1	2	yes	complemented
1354	#529	C₂²×C₈₉	1	4	yes	complemented
1355	#529	C₂²×C₈₉	1	2	yes	complemented
1356	#529	C₂²×C₈₉	1	2	yes	complemented
1357	#529	C₂²×C₈₉	1	4	yes	complemented
1358	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
1359	#529	C₂²×C₈₉	1	2	yes	complemented
1360	#529	C₂²×C₈₉	1	2	yes	complemented
1361	#529	C₂²×C₈₉	1	2	yes	complemented
1362	#529	C₂²×C₈₉	1	4	yes	complemented
1363	C₂×#125	C₂²×C₈₉	1	2	yes	complemented
1364	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
1365	#525	C₂²×C₈₉	1	4	yes	complemented
1366	#525	C₂²×C₈₉	1	4	yes	complemented
1367	#525	C₂²×C₈₉	1	4	yes	complemented
1368	#525	C₂²×C₈₉	1	4	yes	complemented
1369	C₂×#123	C₂²×C₈₉	1	4	yes	complemented
1370	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	4	yes	complemented
1371	#520	C₂²×C₈₉	1	2	yes	complemented
1372	#520	C₂²×C₈₉	1	2	yes	complemented
1373	#520	C₂²×C₈₉	1	2	yes	complemented
1374	#520	C₂²×C₈₉	1	2	yes	complemented
1375	#519	C₂²×C₈₉	1	1	yes	characteristic, complemented
1376	#518	C₂²×C₈₉	1	1	yes	characteristic
1377	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
1378	C₂×C₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1379	C₂×C₄×D₄	C₂²×C₈₉	1	2	yes	complemented
1380	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1381	C₂×#41	C₂³×C₈₉	1	2	yes	—
1382	C₂×#41	C₂³×C₈₉	1	2	yes	—
1383	C₂×#41	C₂³×C₈₉	1	2	yes	—
1384	C₂×#41	C₂³×C₈₉	1	2	yes	—
1385	C₂×#41	C₂³×C₈₉	1	4	yes	—
1386	C₂×#41	C₂³×C₈₉	1	2	yes	—
1387	C₂×#41	C₂³×C₈₉	1	4	yes	—
1388	C₂×#41	C₂³×C₈₉	1	2	yes	—
1389	C₂×#41	C₂³×C₈₉	1	2	yes	—
1390	C₂×#41	C₂³×C₈₉	1	4	yes	—
1391	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1392	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1393	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1394	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1395	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1396	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1397	C₂³×C₄	C₂³×C₈₉	1	4	yes	—
1398	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1399	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1400	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1401	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1402	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1403	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1404	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1405	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1406	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1407	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1408	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1409	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1410	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1411	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1412	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1413	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1414	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1415	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1416	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1417	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1418	#127	C₂³×C₈₉	1	1	yes	characteristic
1419	#127	C₂³×C₈₉	1	2	yes	—
1420	#127	C₂³×C₈₉	1	2	yes	—
1421	#127	C₂³×C₈₉	1	2	yes	—
1422	#127	C₂³×C₈₉	1	4	yes	—
1423	#127	C₂³×C₈₉	1	2	yes	—
1424	#127	C₂³×C₈₉	1	4	yes	—
1425	#126	C₂³×C₈₉	1	2	yes	—
1426	#126	C₂³×C₈₉	1	4	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	4	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	2	yes	—
1438	#126	C₂³×C₈₉	1	2	yes	—
1439	#126	C₂³×C₈₉	1	2	yes	—
1440	#126	C₂³×C₈₉	1	2	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	#126	C₂³×C₈₉	1	4	yes	—
1448	#126	C₂³×C₈₉	1	2	yes	—
1449	#126	C₂³×C₈₉	1	2	yes	—
1450	#126	C₂³×C₈₉	1	2	yes	—
1451	#126	C₂³×C₈₉	1	4	yes	—
1452	#126	C₂³×C₈₉	1	4	yes	—
1453	#126	C₂³×C₈₉	1	4	yes	—
1454	#126	C₂³×C₈₉	1	4	yes	—
1455	#126	C₂³×C₈₉	1	4	yes	—
1456	#126	C₂³×C₈₉	1	4	yes	—
1457	#126	C₂³×C₈₉	1	4	yes	—
1458	#126	C₂³×C₈₉	1	4	yes	—
1459	#126	C₂³×C₈₉	1	4	yes	—
1460	#126	C₂³×C₈₉	1	4	yes	—
1461	#125	C₂³×C₈₉	1	1	yes	characteristic
1462	#125	C₂³×C₈₉	1	2	yes	—
1463	#125	C₂³×C₈₉	1	4	yes	—
1464	#125	C₂³×C₈₉	1	2	yes	—
1465	#125	C₂³×C₈₉	1	2	yes	—
1466	#125	C₂³×C₈₉	1	4	yes	—
1467	#125	C₂³×C₈₉	1	2	yes	—
1468	#125	C₂³×C₈₉	1	1	yes	characteristic
1469	#125	C₂³×C₈₉	1	1	yes	characteristic
1470	#125	C₂³×C₈₉	1	1	yes	characteristic
1471	#125	C₂³×C₈₉	1	4	yes	—
1472	#125	C₂³×C₈₉	1	2	yes	—
1473	#125	C₂³×C₈₉	1	2	yes	—
1474	#125	C₂³×C₈₉	1	2	yes	—
1475	#125	C₂³×C₈₉	1	4	yes	—
1476	#125	C₂³×C₈₉	1	4	yes	—
1477	#125	C₂³×C₈₉	1	4	yes	—
1478	#125	C₂³×C₈₉	1	4	yes	—
1479	#125	C₂³×C₈₉	1	2	yes	—
1480	#125	C₂³×C₈₉	1	2	yes	—
1481	#125	C₂³×C₈₉	1	4	yes	—
1482	#125	C₂³×C₈₉	1	2	yes	—
1483	#125	C₂³×C₈₉	1	2	yes	—
1484	#125	C₂³×C₈₉	1	2	yes	—
1485	#125	C₂³×C₈₉	1	2	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	#124	C₂³×C₈₉	1	2	yes	—
1493	#124	C₂³×C₈₉	1	2	yes	—
1494	#124	C₂³×C₈₉	1	2	yes	—
1495	#124	C₂³×C₈₉	1	2	yes	—
1496	#124	C₂³×C₈₉	1	1	yes	characteristic
1497	#124	C₂³×C₈₉	1	2	yes	—
1498	#124	C₂³×C₈₉	1	2	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	4	yes	—
1504	#124	C₂³×C₈₉	1	2	yes	—
1505	#124	C₂³×C₈₉	1	4	yes	—
1506	#124	C₂³×C₈₉	1	2	yes	—
1507	#124	C₂³×C₈₉	1	2	yes	—
1508	#124	C₂³×C₈₉	1	4	yes	—
1509	#124	C₂³×C₈₉	1	2	yes	—
1510	#124	C₂³×C₈₉	1	2	yes	—
1511	#124	C₂³×C₈₉	1	2	yes	—
1512	#124	C₂³×C₈₉	1	4	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	#124	C₂³×C₈₉	1	4	yes	—
1523	#124	C₂³×C₈₉	1	4	yes	—
1524	#124	C₂³×C₈₉	1	4	yes	—
1525	#124	C₂³×C₈₉	1	4	yes	—
1526	#123	C₂³×C₈₉	1	2	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	4	yes	—
1531	#123	C₂³×C₈₉	1	4	yes	—
1532	#123	C₂³×C₈₉	1	4	yes	—
1533	#123	C₂³×C₈₉	1	4	yes	—
1534	#123	C₂³×C₈₉	1	2	yes	—
1535	#123	C₂³×C₈₉	1	4	yes	—
1536	#123	C₂³×C₈₉	1	4	yes	—
1537	#123	C₂³×C₈₉	1	4	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	2	yes	—
1542	#123	C₂³×C₈₉	1	2	yes	—
1543	#123	C₂³×C₈₉	1	2	yes	—
1544	#123	C₂³×C₈₉	1	4	yes	—
1545	#123	C₂³×C₈₉	1	4	yes	—
1546	#123	C₂³×C₈₉	1	4	yes	—
1547	#123	C₂³×C₈₉	1	4	yes	—
1548	#123	C₂³×C₈₉	1	4	yes	—
1549	#123	C₂³×C₈₉	1	2	yes	—
1550	#123	C₂³×C₈₉	1	2	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	2	yes	—
1557	#123	C₂³×C₈₉	1	2	yes	—
1558	#123	C₂³×C₈₉	1	2	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	#123	C₂³×C₈₉	1	4	yes	—
1564	#123	C₂³×C₈₉	1	4	yes	—
1565	#123	C₂³×C₈₉	1	4	yes	—
1566	#123	C₂³×C₈₉	1	4	yes	—
1567	#123	C₂³×C₈₉	1	4	yes	—
1568	#123	C₂³×C₈₉	1	4	yes	—
1569	#123	C₂³×C₈₉	1	4	yes	—
1570	#123	C₂³×C₈₉	1	4	yes	—
1571	#123	C₂³×C₈₉	1	4	yes	—
1572	#123	C₂³×C₈₉	1	4	yes	—
1573	#123	C₂³×C₈₉	1	4	yes	—
1574	#123	C₂³×C₈₉	1	4	yes	—
1575	#123	C₂³×C₈₉	1	4	yes	—
1576	#123	C₂³×C₈₉	1	4	yes	—
1577	#123	C₂³×C₈₉	1	4	yes	—
1578	#123	C₂³×C₈₉	1	4	yes	—
1579	C₂²⋊Q₈	C₂³×C₈₉	1	2	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	2	yes	—
1588	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1589	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1590	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1591	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1592	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1593	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1594	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1595	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
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	2	yes	—
1600	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1601	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1602	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1603	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1604	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1605	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1606	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1607	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1608	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1609	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1610	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1611	C₂²⋊Q₈	C₂³×C₈₉	1	2	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	4	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	#121	C₂³×C₈₉	1	2	yes	—
1640	#121	C₂³×C₈₉	1	4	yes	—
1641	#121	C₂³×C₈₉	1	4	yes	—
1642	#121	C₂³×C₈₉	1	4	yes	—
1643	#121	C₂³×C₈₉	1	4	yes	—
1644	#121	C₂³×C₈₉	1	4	yes	—
1645	#121	C₂³×C₈₉	1	4	yes	—
1646	#121	C₂³×C₈₉	1	1	yes	characteristic
1647	#121	C₂³×C₈₉	1	2	yes	—
1648	#121	C₂³×C₈₉	1	4	yes	—
1649	#121	C₂³×C₈₉	1	2	yes	—
1650	#121	C₂³×C₈₉	1	4	yes	—
1651	#121	C₂³×C₈₉	1	2	yes	—
1652	#121	C₂³×C₈₉	1	2	yes	—
1653	#121	C₂³×C₈₉	1	2	yes	—
1654	#121	C₂³×C₈₉	1	2	yes	—
1655	#121	C₂³×C₈₉	1	2	yes	—
1656	#121	C₂³×C₈₉	1	1	yes	characteristic
1657	#121	C₂³×C₈₉	1	4	yes	—
1658	#121	C₂³×C₈₉	1	4	yes	—
1659	#121	C₂³×C₈₉	1	2	yes	—
1660	#121	C₂³×C₈₉	1	2	yes	—
1661	#121	C₂³×C₈₉	1	2	yes	—
1662	#121	C₂³×C₈₉	1	4	yes	—
1663	#121	C₂³×C₈₉	1	2	yes	—
1664	#121	C₂³×C₈₉	1	4	yes	—
1665	#121	C₂³×C₈₉	1	4	yes	—
1666	#121	C₂³×C₈₉	1	4	yes	—
1667	#121	C₂³×C₈₉	1	4	yes	—
1668	#121	C₂³×C₈₉	1	2	yes	—
1669	#121	C₂³×C₈₉	1	4	yes	—
1670	#121	C₂³×C₈₉	1	2	yes	—
1671	#121	C₂³×C₈₉	1	4	yes	—
1672	#121	C₂³×C₈₉	1	4	yes	—
1673	#121	C₂³×C₈₉	1	4	yes	—
1674	#121	C₂³×C₈₉	1	4	yes	—
1675	#121	C₂³×C₈₉	1	4	yes	—
1676	#121	C₂³×C₈₉	1	4	yes	—
1677	#121	C₂³×C₈₉	1	4	yes	—
1678	#121	C₂³×C₈₉	1	4	yes	—
1679	#121	C₂³×C₈₉	1	4	yes	—
1680	#121	C₂³×C₈₉	1	4	yes	—
1681	#121	C₂³×C₈₉	1	4	yes	—
1682	#121	C₂³×C₈₉	1	4	yes	—
1683	#121	C₂³×C₈₉	1	4	yes	—
1684	#121	C₂³×C₈₉	1	4	yes	—
1685	#121	C₂³×C₈₉	1	4	yes	—
1686	#121	C₂³×C₈₉	1	4	yes	—
1687	#121	C₂³×C₈₉	1	4	yes	—
1688	#121	C₂³×C₈₉	1	4	yes	—
1689	#120	C₂³×C₈₉	1	4	yes	—
1690	#120	C₂³×C₈₉	1	4	yes	—
1691	#120	C₂³×C₈₉	1	4	yes	—
1692	#120	C₂³×C₈₉	1	4	yes	—
1693	#120	C₂³×C₈₉	1	4	yes	—
1694	#120	C₂³×C₈₉	1	4	yes	—
1695	#120	C₂³×C₈₉	1	4	yes	—
1696	#120	C₂³×C₈₉	1	4	yes	—
1697	#120	C₂³×C₈₉	1	4	yes	—
1698	#120	C₂³×C₈₉	1	4	yes	—
1699	#120	C₂³×C₈₉	1	4	yes	—
1700	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1701	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1702	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1703	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1704	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1705	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1706	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1707	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1708	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1709	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1710	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1711	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1712	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1713	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1714	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1715	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1716	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1717	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1718	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1719	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1720	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1721	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1722	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1723	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1724	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1725	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1726	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1727	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1728	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1729	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1730	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1731	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1732	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1733	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1734	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1735	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1736	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1737	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1738	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1739	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1740	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1741	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1742	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1743	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1744	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1745	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1746	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1747	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1748	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1749	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1750	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1751	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1752	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1753	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1754	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1755	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1756	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1757	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1758	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1759	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1760	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1761	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1762	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1763	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1764	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1765	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1766	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1767	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1768	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1769	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1770	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1771	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1772	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1773	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1774	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1775	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1776	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1777	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1778	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1779	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1780	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1781	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1782	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1783	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1784	#117	C₂³×C₈₉	1	1	yes	characteristic
1785	#117	C₂³×C₈₉	1	2	yes	—
1786	#117	C₂³×C₈₉	1	1	yes	characteristic
1787	#117	C₂³×C₈₉	1	1	yes	characteristic
1788	#117	C₂³×C₈₉	1	4	yes	—
1789	#117	C₂³×C₈₉	1	2	yes	—
1790	#117	C₂³×C₈₉	1	2	yes	—
1791	#117	C₂³×C₈₉	1	2	yes	—
1792	#117	C₂³×C₈₉	1	2	yes	—
1793	#117	C₂³×C₈₉	1	4	yes	—
1794	#117	C₂³×C₈₉	1	4	yes	—
1795	#117	C₂³×C₈₉	1	4	yes	—
1796	#117	C₂³×C₈₉	1	4	yes	—
1797	#117	C₂³×C₈₉	1	4	yes	—
1798	#117	C₂³×C₈₉	1	4	yes	—
1799	#117	C₂³×C₈₉	1	4	yes	—
1800	#117	C₂³×C₈₉	1	4	yes	—
1801	#117	C₂³×C₈₉	1	4	yes	—
1802	#117	C₂³×C₈₉	1	4	yes	—
1803	#117	C₂³×C₈₉	1	4	yes	—
1804	#117	C₂³×C₈₉	1	4	yes	—
1805	#117	C₂³×C₈₉	1	4	yes	—
1806	#117	C₂³×C₈₉	1	4	yes	—
1807	#117	C₂³×C₈₉	1	2	yes	—
1808	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1809	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1810	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1811	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1812	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1813	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1814	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1815	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1816	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1817	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1818	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1819	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1820	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1821	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1822	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1823	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1824	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1825	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1826	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1827	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1828	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1829	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1830	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1831	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1832	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1833	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1834	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1835	#41	—	4	2	no	—
1836	#41	—	4	4	no	—
1837	#41	—	4	4	no	—
1838	#41	—	4	4	no	—
1839	#41	—	4	4	no	—
1840	#41	—	8	4	no	—
1841	#41	—	8	2	no	—
1842	#41	—	8	4	no	—
1843	#41	—	8	4	no	—
1844	#41	—	8	2	no	—
1845	#41	—	8	2	no	—
1846	C₂×Q₈	—	4	2	no	—
1847	C₂×Q₈	—	4	4	no	—
1848	C₂×Q₈	—	8	4	no	—
1849	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1850	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1851	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1852	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1853	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1854	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1855	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1856	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1857	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1858	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1859	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1860	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1861	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1862	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1863	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1864	C₂×D₄	—	4	2	no	—
1865	C₂×D₄	—	4	4	no	—
1866	C₂×D₄	—	8	4	no	—
1867	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1868	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1869	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1870	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1871	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1872	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1873	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1874	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1875	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1876	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1877	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1878	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1879	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1880	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1881	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1882	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1883	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1884	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1885	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1886	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1887	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1888	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1889	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1890	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1891	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1892	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1893	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1894	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1895	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1896	C₂²×C₄	—	8	4	no	—
1897	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1898	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1899	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1900	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1901	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1902	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1903	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1904	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1905	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1906	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1907	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1908	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1909	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1910	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1911	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1912	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1913	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1914	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1915	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1916	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1917	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1918	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1919	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1920	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1921	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1922	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1923	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1924	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1925	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1926	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
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	2	yes	—
1931	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1932	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1933	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1934	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1935	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1936	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1937	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1938	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1939	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1940	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1941	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1942	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1943	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1944	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1945	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1946	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1947	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1948	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1949	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1950	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1951	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1952	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1953	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1954	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1955	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1956	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1957	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1958	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1959	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1960	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1961	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1962	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1963	C₄⋊C₄	C₂⁴×C₈₉	1	2	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	4	yes	—
1969	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1970	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1971	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1972	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1973	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1974	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1975	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1976	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1977	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1978	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1979	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1980	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1981	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1982	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1983	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1984	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1985	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1986	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1987	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1988	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1989	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1990	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1991	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1992	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1993	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1994	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1995	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1996	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1997	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1998	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1999	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2000	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2001	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2002	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2003	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2004	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2005	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2006	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2007	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2008	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2009	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2010	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2011	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2012	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2013	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2014	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2015	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2016	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2017	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2018	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2019	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2020	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2021	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2022	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2023	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2024	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2025	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2026	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2027	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2028	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2029	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2030	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2031	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2032	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2033	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2034	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2035	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2036	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2037	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2038	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2039	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2040	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2041	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2042	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2043	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2044	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2045	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2046	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2047	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2048	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2049	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2050	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2051	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2052	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2053	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2054	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
2055	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
2056	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2057	C₄²	C₂⁴×C₈₉	1	2	yes	—
2058	C₄²	C₂⁴×C₈₉	1	2	yes	—
2059	C₄²	C₂⁴×C₈₉	1	4	yes	—
2060	C₄²	C₂⁴×C₈₉	1	4	yes	—
2061	C₄²	C₂⁴×C₈₉	1	2	yes	—
2062	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2063	C₄²	C₂⁴×C₈₉	1	2	yes	—
2064	C₄²	C₂⁴×C₈₉	1	2	yes	—
2065	C₄²	C₂⁴×C₈₉	1	2	yes	—
2066	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2067	C₄²	C₂⁴×C₈₉	1	2	yes	—
2068	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
2069	C₄²	C₂⁴×C₈₉	1	2	yes	—
2070	C₄²	C₂⁴×C₈₉	1	2	yes	—
2071	C₄²	C₂⁴×C₈₉	1	4	yes	—
2072	C₄²	C₂⁴×C₈₉	1	2	yes	—
2073	C₄²	C₂⁴×C₈₉	1	2	yes	—
2074	C₄²	C₂⁴×C₈₉	1	4	yes	—
2075	C₄²	C₂⁴×C₈₉	1	4	yes	—
2076	C₄²	C₂⁴×C₈₉	1	4	yes	—
2077	C₄²	C₂⁴×C₈₉	1	4	yes	—
2078	C₄²	C₂⁴×C₈₉	1	4	yes	—
2079	C₄²	C₂⁴×C₈₉	1	4	yes	—
2080	C₂³	—	4	4	no	—
2081	C₂³	—	4	4	no	—
2082	C₂³	—	4	4	no	—
2083	C₂³	—	4	2	no	—
2084	C₂³	—	4	2	no	—
2085	C₂³	—	4	2	no	—
2086	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
2087	C₂³	C₂⁵×C₈₉	1	2	yes	—
2088	C₂³	C₂⁵×C₈₉	1	4	yes	—
2089	C₂³	C₂⁵×C₈₉	1	4	yes	—
2090	C₂³	C₂⁵×C₈₉	1	2	yes	—
2091	C₂³	C₂⁵×C₈₉	1	2	yes	—
2092	Q₈	—	2	4	no	—
2093	Q₈	—	2	4	no	—
2094	Q₈	—	2	2	no	—
2095	Q₈	—	4	4	no	—
2096	Q₈	—	4	2	no	—
2097	Q₈	—	4	2	no	—
2098	Q₈	—	4	2	no	—
2099	Q₈	—	4	4	no	—
2100	Q₈	—	4	4	no	—
2101	Q₈	—	4	1	no	—
2102	Q₈	—	4	2	no	—
2103	Q₈	—	4	2	no	—
2104	Q₈	—	4	2	no	—
2105	Q₈	—	4	1	no	—
2106	Q₈	—	4	2	no	—
2107	D₄	—	2	4	no	—
2108	D₄	—	2	4	no	—
2109	D₄	—	2	2	no	—
2110	D₄	—	4	4	no	—
2111	D₄	—	4	2	no	—
2112	D₄	—	4	2	no	—
2113	D₄	—	4	4	no	—
2114	D₄	—	4	4	no	—
2115	D₄	—	4	4	no	—
2116	D₄	—	4	4	no	—
2117	D₄	—	4	1	no	—
2118	D₄	—	4	2	no	—
2119	D₄	—	4	4	no	—
2120	D₄	—	4	2	no	—
2121	D₄	—	4	4	no	—
2122	D₄	—	4	4	no	—
2123	D₄	—	4	2	no	—
2124	D₄	—	4	4	no	—
2125	D₄	—	4	2	no	—
2126	D₄	—	4	4	no	—
2127	D₄	—	4	4	no	—
2128	D₄	—	4	4	no	—
2129	D₄	—	4	4	no	—
2130	D₄	—	4	2	no	—
2131	D₄	—	4	4	no	—
2132	D₄	—	4	2	no	—
2133	D₄	—	4	4	no	—
2134	D₄	—	4	1	no	—
2135	D₄	—	4	4	no	—
2136	C₂×C₄	—	2	2	no	—
2137	C₂×C₄	—	2	4	no	—
2138	C₂×C₄	—	2	4	no	—
2139	C₂×C₄	—	4	2	no	—
2140	C₂×C₄	—	4	4	no	—
2141	C₂×C₄	—	4	4	no	—
2142	C₂×C₄	—	4	4	no	—
2143	C₂×C₄	—	4	4	no	—
2144	C₂×C₄	—	4	4	no	—
2145	C₂×C₄	—	4	2	no	—
2146	C₂×C₄	—	4	4	no	—
2147	C₂×C₄	—	4	1	no	—
2148	C₂×C₄	—	4	2	no	—
2149	C₂×C₄	—	4	2	no	—
2150	C₂×C₄	—	4	4	no	—
2151	C₂×C₄	—	4	4	no	—
2152	C₂×C₄	—	4	2	no	—
2153	C₂×C₄	—	4	4	no	—
2154	C₂×C₄	—	4	4	no	—
2155	C₂×C₄	—	4	4	no	—
2156	C₂×C₄	—	4	4	no	—
2157	C₂×C₄	—	4	4	no	—
2158	C₂×C₄	—	4	4	no	—
2159	C₂×C₄	—	4	2	no	—
2160	C₂×C₄	—	4	4	no	—
2161	C₂×C₄	—	4	2	no	—
2162	C₂×C₄	—	4	4	no	—
2163	C₂×C₄	—	4	2	no	—
2164	C₂×C₄	—	4	1	no	—
2165	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2166	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2167	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2168	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2169	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2170	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2171	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2172	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2173	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2174	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2175	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2176	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2177	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2178	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2179	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2180	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2181	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2182	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2183	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
2184	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2185	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2186	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
2187	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
2188	C₂²	—	2	2	no	—
2189	C₂²	—	2	1	no	—
2190	C₂²	—	2	2	no	—
2191	C₂²	—	2	2	no	—
2192	C₂²	—	2	4	no	—
2193	C₂²	—	2	4	no	—
2194	C₂²	—	2	4	no	—
2195	C₂²	—	2	2	no	—
2196	C₂²	—	2	2	no	—
2197	C₂²	—	2	2	no	—
2198	C₂²	—	2	4	no	—
2199	C₂²	—	2	1	no	—
2200	C₂²	—	2	2	no	—
2201	C₂²	—	2	2	no	—
2202	C₂²	—	2	2	no	—
2203	C₂²	—	2	4	no	—
2204	C₂²	—	2	1	no	—
2205	C₂²	—	2	4	no	—
2206	C₂²	—	8	8	no	—
2207	C₂²	—	16	2	no	—
2208	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
2209	C₄	—	2	2	no	—
2210	C₄	—	2	2	no	—
2211	C₄	—	2	1	no	—
2212	C₄	—	2	2	no	—
2213	C₄	—	2	4	no	—
2214	C₄	—	2	4	no	—
2215	C₄	—	2	2	no	—
2216	C₄	—	2	2	no	—
2217	C₄	—	2	2	no	—
2218	C₄	—	2	2	no	—
2219	C₄	—	2	4	no	—
2220	C₄	—	2	1	no	—
2221	C₄	—	2	4	no	—
2222	C₄	—	2	1	no	—
2223	C₄	—	2	2	no	—
2224	C₄	—	2	2	no	—
2225	C₄	—	2	1	no	—
2226	C₄	—	2	2	no	—
2227	C₄	—	2	2	no	—
2228	C₄	—	2	2	no	—
2229	C₄	—	2	1	no	—
2230	C₄	—	2	2	no	—
2231	C₄	#585×C₈₉	1	2	yes	—
2232	C₂	—	4	2	no	—
2233	C₂	—	4	2	no	—
2234	C₂	—	4	4	no	—
2235	C₂	—	4	2	no	—
2236	C₂	—	4	4	no	—
2237	C₂	—	4	1	no	—
2238	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
2239	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
2240	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×#3568	C₂	semidirect
2. C₈₉×#3566	C₂	semidirect
3. C₈₉×#3566	C₂	semidirect
4. C₈₉×#3562	C₂	semidirect
5. C₈₉×#3562	C₂	semidirect
6. C₈₉×#3562	C₂	semidirect
7. C₈₉×#3561	C₂	semidirect
8. C₈₉×#3559	C₂	semidirect
9. C₈₉×#3558	C₂	semidirect
10. C₈₉×#3555	C₂	semidirect
11. C₈₉×#3554	C₂	semidirect
12. C₈₉×#3554	C₂	semidirect
13. C₈₉×#3553	C₂	semidirect
14. C₈₉×#3550	C₂	semidirect
15. C₈₉×#3546	C₂	semidirect
16. C₈₉×#3541	C₂	semidirect
17. C₈₉×#3535	C₂	semidirect
18. C₈₉×#3533	C₂	semidirect
19. C₈₉×#3531	C₂	semidirect
20. C₈₉×#3529	C₂	semidirect
21. C₈₉×#3522	C₂	semidirect
22. C₈₉×#3520	C₂	semidirect
23. C₈₉×#3517	C₂	semidirect
24. C₈₉×#3516	C₂	semidirect
25. C₈₉×#3515	C₂	semidirect
26. C₈₉×#3513	C₂	semidirect
27. C₈₉×#3510	C₂	semidirect
28. C₈₉×#3507	C₂	semidirect
29. C₈₉×#3506	C₂	semidirect
30. #564×C₈₉	C₂²	semidirect
31. #563×C₈₉	C₂²	semidirect
32. #563×C₈₉	C₂²	semidirect
33. #563×C₈₉	C₂²	semidirect
34. #563×C₈₉	C₂²	semidirect
35. #563×C₈₉	C₂²	semidirect
36. #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
44. #562×C₈₉	C₂²	semidirect
45. #562×C₈₉	C₂²	semidirect
46. #562×C₈₉	C₂²	semidirect
47. #562×C₈₉	C₂²	semidirect
48. #562×C₈₉	C₂²	semidirect
49. #562×C₈₉	C₂²	semidirect
50. #562×C₈₉	C₂²	semidirect
51. #562×C₈₉	C₂²	semidirect
52. #562×C₈₉	C₂²	semidirect
54. #560×C₈₉	C₂²	semidirect
55. #560×C₈₉	C₂²	semidirect
56. #560×C₈₉	C₂²	semidirect
57. #560×C₈₉	C₂²	semidirect
60. #559×C₈₉	C₂²	semidirect
61. #559×C₈₉	C₂²	semidirect
62. #559×C₈₉	C₂²	semidirect
63. #559×C₈₉	C₂²	semidirect
64. #559×C₈₉	C₂²	semidirect
65. #559×C₈₉	C₂²	semidirect
66. Q₈²×C₈₉	C₂²	semidirect
67. #557×C₈₉	C₂²	semidirect
68. #557×C₈₉	C₂²	semidirect
69. #557×C₈₉	C₂²	semidirect
70. #557×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
78. #556×C₈₉	C₂²	semidirect
79. #556×C₈₉	C₂²	semidirect
80. #556×C₈₉	C₂²	semidirect
81. #555×C₈₉	C₂²	semidirect
82. #554×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
91. #553×C₈₉	C₂²	semidirect
92. #553×C₈₉	C₂²	semidirect
93. #553×C₈₉	C₂²	semidirect
94. #553×C₈₉	C₂²	semidirect
95. #553×C₈₉	C₂²	semidirect
96. #553×C₈₉	C₂²	semidirect
97. #553×C₈₉	C₂²	semidirect
98. #553×C₈₉	C₂²	semidirect
99. #553×C₈₉	C₂²	semidirect
100. #552×C₈₉	C₂²	semidirect
101. #552×C₈₉	C₂²	semidirect
102. #552×C₈₉	C₂²	semidirect
103. #552×C₈₉	C₂²	semidirect
104. #552×C₈₉	C₂²	semidirect
105. #552×C₈₉	C₂²	semidirect
106. #552×C₈₉	C₂²	semidirect
107. #552×C₈₉	C₂²	semidirect
108. #551×C₈₉	C₂²	semidirect
109. #551×C₈₉	C₂²	semidirect
110. #551×C₈₉	C₂²	semidirect
111. #551×C₈₉	C₂²	semidirect
112. #551×C₈₉	C₂²	semidirect
113. #551×C₈₉	C₂²	semidirect
114. #551×C₈₉	C₂²	semidirect
115. #551×C₈₉	C₂²	semidirect
116. #551×C₈₉	C₂²	semidirect
119. #550×C₈₉	C₂²	semidirect
120. #550×C₈₉	C₂²	semidirect
121. #550×C₈₉	C₂²	semidirect
122. #550×C₈₉	C₂²	semidirect
123. D₄×Q₈×C₈₉	C₂²	semidirect
124. D₄×Q₈×C₈₉	C₂²	semidirect
125. D₄×Q₈×C₈₉	C₂²	semidirect
127. #548×C₈₉	C₂²	semidirect
128. #548×C₈₉	C₂²	semidirect
129. #548×C₈₉	C₂²	semidirect
130. #548×C₈₉	C₂²	semidirect
131. #548×C₈₉	C₂²	semidirect
133. #547×C₈₉	C₂²	semidirect
134. #547×C₈₉	C₂²	semidirect
135. #547×C₈₉	C₂²	semidirect
136. #547×C₈₉	C₂²	semidirect
137. #547×C₈₉	C₂²	semidirect
138. #547×C₈₉	C₂²	semidirect
139. #547×C₈₉	C₂²	semidirect
140. #547×C₈₉	C₂²	semidirect
141. #547×C₈₉	C₂²	semidirect
145. #546×C₈₉	C₂²	semidirect
146. #546×C₈₉	C₂²	semidirect
147. #546×C₈₉	C₂²	semidirect
148. #546×C₈₉	C₂²	semidirect
150. #544×C₈₉	C₂²	semidirect
151. #543×C₈₉	C₂²	semidirect
154. #542×C₈₉	C₂²	semidirect
155. #542×C₈₉	C₂²	semidirect
156. #542×C₈₉	C₂²	semidirect
157. #542×C₈₉	C₂²	semidirect
158. #542×C₈₉	C₂²	semidirect
159. #542×C₈₉	C₂²	semidirect
160. #542×C₈₉	C₂²	semidirect
161. #542×C₈₉	C₂²	semidirect
162. #542×C₈₉	C₂²	semidirect
163. #542×C₈₉	C₂²	semidirect
164. #542×C₈₉	C₂²	semidirect
165. #542×C₈₉	C₂²	semidirect
166. #542×C₈₉	C₂²	semidirect
167. #541×C₈₉	C₂²	semidirect
168. #541×C₈₉	C₂²	semidirect
169. #541×C₈₉	C₂²	semidirect
170. #541×C₈₉	C₂²	semidirect
171. #541×C₈₉	C₂²	semidirect
172. #541×C₈₉	C₂²	semidirect
174. #540×C₈₉	C₂²	semidirect
175. #540×C₈₉	C₂²	semidirect
176. #540×C₈₉	C₂²	semidirect
177. #540×C₈₉	C₂²	semidirect
178. #540×C₈₉	C₂²	semidirect
179. #539×C₈₉	C₂²	semidirect
180. #539×C₈₉	C₂²	semidirect
181. #539×C₈₉	C₂²	semidirect
182. #539×C₈₉	C₂²	semidirect
183. #539×C₈₉	C₂²	semidirect
184. #539×C₈₉	C₂²	semidirect
185. #539×C₈₉	C₂²	semidirect
186. #539×C₈₉	C₂²	semidirect
187. #539×C₈₉	C₂²	semidirect
188. #539×C₈₉	C₂²	semidirect
189. #539×C₈₉	C₂²	semidirect
190. #539×C₈₉	C₂²	semidirect
193. #538×C₈₉	C₂²	semidirect
194. #538×C₈₉	C₂²	semidirect
195. #538×C₈₉	C₂²	semidirect
196. #538×C₈₉	C₂²	semidirect
197. #538×C₈₉	C₂²	semidirect
198. #538×C₈₉	C₂²	semidirect
199. #538×C₈₉	C₂²	semidirect
200. #538×C₈₉	C₂²	semidirect
201. #538×C₈₉	C₂²	semidirect
202. #538×C₈₉	C₂²	semidirect
203. #537×C₈₉	C₂²	semidirect
204. #536×C₈₉	C₂²	semidirect
205. #536×C₈₉	C₂²	semidirect
206. #536×C₈₉	C₂²	semidirect
207. #536×C₈₉	C₂²	semidirect
208. #536×C₈₉	C₂²	semidirect
211. #535×C₈₉	C₂²	semidirect
212. #535×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
221. #532×C₈₉	C₂²	semidirect
222. #532×C₈₉	C₂²	semidirect
223. #532×C₈₉	C₂²	semidirect
224. #532×C₈₉	C₂²	semidirect
227. #529×C₈₉	C₂²	semidirect
228. #529×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. #529×C₈₉	C₂²	semidirect
239. #529×C₈₉	C₂²	semidirect
240. #529×C₈₉	C₂²	semidirect
241. #529×C₈₉	C₂²	semidirect
242. C₂×#125×C₈₉	C₂²	semidirect
244. #525×C₈₉	C₂²	semidirect
245. #525×C₈₉	C₂²	semidirect
246. #525×C₈₉	C₂²	semidirect
247. #525×C₈₉	C₂²	semidirect
248. C₂×#123×C₈₉	C₂²	semidirect
249. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
250. #520×C₈₉	C₂²	semidirect
251. #520×C₈₉	C₂²	semidirect
252. #520×C₈₉	C₂²	semidirect
253. #520×C₈₉	C₂²	semidirect
254. #519×C₈₉	C₂²	semidirect
256. C₄×#41×C₈₉	C₂²	semidirect
257. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
258. C₂×C₄×D₄×C₈₉	C₂²	semidirect
1111. #63056	C₈₉	direct (N × H)
1121. #3568	C₂×C₈₉	semidirect
1122. #3566	C₂×C₈₉	semidirect
1123. #3566	C₂×C₈₉	semidirect
1124. #3562	C₂×C₈₉	semidirect
1125. #3562	C₂×C₈₉	semidirect
1126. #3562	C₂×C₈₉	semidirect
1127. #3561	C₂×C₈₉	semidirect
1128. #3559	C₂×C₈₉	semidirect
1129. #3558	C₂×C₈₉	semidirect
1130. #3555	C₂×C₈₉	semidirect
1131. #3554	C₂×C₈₉	semidirect
1132. #3554	C₂×C₈₉	semidirect
1133. #3553	C₂×C₈₉	semidirect
1134. #3550	C₂×C₈₉	semidirect
1135. #3546	C₂×C₈₉	semidirect
1136. #3541	C₂×C₈₉	semidirect
1137. #3535	C₂×C₈₉	semidirect
1138. #3533	C₂×C₈₉	semidirect
1139. #3531	C₂×C₈₉	semidirect
1140. #3529	C₂×C₈₉	semidirect
1141. #3522	C₂×C₈₉	semidirect
1142. #3520	C₂×C₈₉	semidirect
1143. #3517	C₂×C₈₉	semidirect
1144. #3516	C₂×C₈₉	semidirect
1145. #3515	C₂×C₈₉	semidirect
1146. #3513	C₂×C₈₉	semidirect
1147. #3510	C₂×C₈₉	semidirect
1148. #3507	C₂×C₈₉	semidirect
1149. #3506	C₂×C₈₉	semidirect
1150. C₈₉	#63056	direct (N × H)
1151. #564	C₂²×C₈₉	semidirect
1152. #563	C₂²×C₈₉	semidirect
1153. #563	C₂²×C₈₉	semidirect
1154. #563	C₂²×C₈₉	semidirect
1155. #563	C₂²×C₈₉	semidirect
1156. #563	C₂²×C₈₉	semidirect
1157. #563	C₂²×C₈₉	semidirect
1158. #563	C₂²×C₈₉	semidirect
1159. #563	C₂²×C₈₉	semidirect
1160. #563	C₂²×C₈₉	semidirect
1161. #563	C₂²×C₈₉	semidirect
1162. #563	C₂²×C₈₉	semidirect
1165. #562	C₂²×C₈₉	semidirect
1166. #562	C₂²×C₈₉	semidirect
1167. #562	C₂²×C₈₉	semidirect
1168. #562	C₂²×C₈₉	semidirect
1169. #562	C₂²×C₈₉	semidirect
1170. #562	C₂²×C₈₉	semidirect
1171. #562	C₂²×C₈₉	semidirect
1172. #562	C₂²×C₈₉	semidirect
1173. #562	C₂²×C₈₉	semidirect
1175. #560	C₂²×C₈₉	semidirect
1176. #560	C₂²×C₈₉	semidirect
1177. #560	C₂²×C₈₉	semidirect
1178. #560	C₂²×C₈₉	semidirect
1181. #559	C₂²×C₈₉	semidirect
1182. #559	C₂²×C₈₉	semidirect
1183. #559	C₂²×C₈₉	semidirect
1184. #559	C₂²×C₈₉	semidirect
1185. #559	C₂²×C₈₉	semidirect
1186. #559	C₂²×C₈₉	semidirect
1187. Q₈²	C₂²×C₈₉	semidirect
1188. #557	C₂²×C₈₉	semidirect
1189. #557	C₂²×C₈₉	semidirect
1190. #557	C₂²×C₈₉	semidirect
1191. #557	C₂²×C₈₉	semidirect
1192. #556	C₂²×C₈₉	semidirect
1193. #556	C₂²×C₈₉	semidirect
1194. #556	C₂²×C₈₉	semidirect
1195. #556	C₂²×C₈₉	semidirect
1196. #556	C₂²×C₈₉	semidirect
1197. #556	C₂²×C₈₉	semidirect
1198. #556	C₂²×C₈₉	semidirect
1199. #556	C₂²×C₈₉	semidirect
1200. #556	C₂²×C₈₉	semidirect
1201. #556	C₂²×C₈₉	semidirect
1202. #555	C₂²×C₈₉	semidirect
1203. #554	C₂²×C₈₉	semidirect
1204. #554	C₂²×C₈₉	semidirect
1205. #554	C₂²×C₈₉	semidirect
1206. #554	C₂²×C₈₉	semidirect
1207. #554	C₂²×C₈₉	semidirect
1208. #554	C₂²×C₈₉	semidirect
1209. #554	C₂²×C₈₉	semidirect
1210. #554	C₂²×C₈₉	semidirect
1212. #553	C₂²×C₈₉	semidirect
1213. #553	C₂²×C₈₉	semidirect
1214. #553	C₂²×C₈₉	semidirect
1215. #553	C₂²×C₈₉	semidirect
1216. #553	C₂²×C₈₉	semidirect
1217. #553	C₂²×C₈₉	semidirect
1218. #553	C₂²×C₈₉	semidirect
1219. #553	C₂²×C₈₉	semidirect
1220. #553	C₂²×C₈₉	semidirect
1221. #552	C₂²×C₈₉	semidirect
1222. #552	C₂²×C₈₉	semidirect
1223. #552	C₂²×C₈₉	semidirect
1224. #552	C₂²×C₈₉	semidirect
1225. #552	C₂²×C₈₉	semidirect
1226. #552	C₂²×C₈₉	semidirect
1227. #552	C₂²×C₈₉	semidirect
1228. #552	C₂²×C₈₉	semidirect
1229. #551	C₂²×C₈₉	semidirect
1230. #551	C₂²×C₈₉	semidirect
1231. #551	C₂²×C₈₉	semidirect
1232. #551	C₂²×C₈₉	semidirect
1233. #551	C₂²×C₈₉	semidirect
1234. #551	C₂²×C₈₉	semidirect
1235. #551	C₂²×C₈₉	semidirect
1236. #551	C₂²×C₈₉	semidirect
1237. #551	C₂²×C₈₉	semidirect
1240. #550	C₂²×C₈₉	semidirect
1241. #550	C₂²×C₈₉	semidirect
1242. #550	C₂²×C₈₉	semidirect
1243. #550	C₂²×C₈₉	semidirect
1244. D₄×Q₈	C₂²×C₈₉	semidirect
1245. D₄×Q₈	C₂²×C₈₉	semidirect
1246. D₄×Q₈	C₂²×C₈₉	semidirect
1248. #548	C₂²×C₈₉	semidirect
1249. #548	C₂²×C₈₉	semidirect
1250. #548	C₂²×C₈₉	semidirect
1251. #548	C₂²×C₈₉	semidirect
1252. #548	C₂²×C₈₉	semidirect
1254. #547	C₂²×C₈₉	semidirect
1255. #547	C₂²×C₈₉	semidirect
1256. #547	C₂²×C₈₉	semidirect
1257. #547	C₂²×C₈₉	semidirect
1258. #547	C₂²×C₈₉	semidirect
1259. #547	C₂²×C₈₉	semidirect
1260. #547	C₂²×C₈₉	semidirect
1261. #547	C₂²×C₈₉	semidirect
1262. #547	C₂²×C₈₉	semidirect
1266. #546	C₂²×C₈₉	semidirect
1267. #546	C₂²×C₈₉	semidirect
1268. #546	C₂²×C₈₉	semidirect
1269. #546	C₂²×C₈₉	semidirect
1271. #544	C₂²×C₈₉	semidirect
1272. #543	C₂²×C₈₉	semidirect
1275. #542	C₂²×C₈₉	semidirect
1276. #542	C₂²×C₈₉	semidirect
1277. #542	C₂²×C₈₉	semidirect
1278. #542	C₂²×C₈₉	semidirect
1279. #542	C₂²×C₈₉	semidirect
1280. #542	C₂²×C₈₉	semidirect
1281. #542	C₂²×C₈₉	semidirect
1282. #542	C₂²×C₈₉	semidirect
1283. #542	C₂²×C₈₉	semidirect
1284. #542	C₂²×C₈₉	semidirect
1285. #542	C₂²×C₈₉	semidirect
1286. #542	C₂²×C₈₉	semidirect
1287. #542	C₂²×C₈₉	semidirect
1288. #541	C₂²×C₈₉	semidirect
1289. #541	C₂²×C₈₉	semidirect
1290. #541	C₂²×C₈₉	semidirect
1291. #541	C₂²×C₈₉	semidirect
1292. #541	C₂²×C₈₉	semidirect
1293. #541	C₂²×C₈₉	semidirect
1295. #540	C₂²×C₈₉	semidirect
1296. #540	C₂²×C₈₉	semidirect
1297. #540	C₂²×C₈₉	semidirect
1298. #540	C₂²×C₈₉	semidirect
1299. #540	C₂²×C₈₉	semidirect
1300. #539	C₂²×C₈₉	semidirect
1301. #539	C₂²×C₈₉	semidirect
1302. #539	C₂²×C₈₉	semidirect
1303. #539	C₂²×C₈₉	semidirect
1304. #539	C₂²×C₈₉	semidirect
1305. #539	C₂²×C₈₉	semidirect
1306. #539	C₂²×C₈₉	semidirect
1307. #539	C₂²×C₈₉	semidirect
1308. #539	C₂²×C₈₉	semidirect
1309. #539	C₂²×C₈₉	semidirect
1310. #539	C₂²×C₈₉	semidirect
1311. #539	C₂²×C₈₉	semidirect
1314. #538	C₂²×C₈₉	semidirect
1315. #538	C₂²×C₈₉	semidirect
1316. #538	C₂²×C₈₉	semidirect
1317. #538	C₂²×C₈₉	semidirect
1318. #538	C₂²×C₈₉	semidirect
1319. #538	C₂²×C₈₉	semidirect
1320. #538	C₂²×C₈₉	semidirect
1321. #538	C₂²×C₈₉	semidirect
1322. #538	C₂²×C₈₉	semidirect
1323. #538	C₂²×C₈₉	semidirect
1324. #537	C₂²×C₈₉	semidirect
1325. #536	C₂²×C₈₉	semidirect
1326. #536	C₂²×C₈₉	semidirect
1327. #536	C₂²×C₈₉	semidirect
1328. #536	C₂²×C₈₉	semidirect
1329. #536	C₂²×C₈₉	semidirect
1332. #535	C₂²×C₈₉	semidirect
1333. #535	C₂²×C₈₉	semidirect
1335. #533	C₂²×C₈₉	semidirect
1336. #533	C₂²×C₈₉	semidirect
1337. #533	C₂²×C₈₉	semidirect
1338. #533	C₂²×C₈₉	semidirect
1339. #533	C₂²×C₈₉	semidirect
1342. #532	C₂²×C₈₉	semidirect
1343. #532	C₂²×C₈₉	semidirect
1344. #532	C₂²×C₈₉	semidirect
1345. #532	C₂²×C₈₉	semidirect
1348. #529	C₂²×C₈₉	semidirect
1349. #529	C₂²×C₈₉	semidirect
1350. #529	C₂²×C₈₉	semidirect
1351. #529	C₂²×C₈₉	semidirect
1352. #529	C₂²×C₈₉	semidirect
1353. #529	C₂²×C₈₉	semidirect
1354. #529	C₂²×C₈₉	semidirect
1355. #529	C₂²×C₈₉	semidirect
1356. #529	C₂²×C₈₉	semidirect
1357. #529	C₂²×C₈₉	semidirect
1358. #529	C₂²×C₈₉	semidirect
1359. #529	C₂²×C₈₉	semidirect
1360. #529	C₂²×C₈₉	semidirect
1361. #529	C₂²×C₈₉	semidirect
1362. #529	C₂²×C₈₉	semidirect
1363. C₂×#125	C₂²×C₈₉	semidirect
1365. #525	C₂²×C₈₉	semidirect
1366. #525	C₂²×C₈₉	semidirect
1367. #525	C₂²×C₈₉	semidirect
1368. #525	C₂²×C₈₉	semidirect
1369. C₂×#123	C₂²×C₈₉	semidirect
1370. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1371. #520	C₂²×C₈₉	semidirect
1372. #520	C₂²×C₈₉	semidirect
1373. #520	C₂²×C₈₉	semidirect
1374. #520	C₂²×C₈₉	semidirect
1375. #519	C₂²×C₈₉	semidirect
1377. C₄×#41	C₂²×C₈₉	semidirect
1378. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1379. C₂×C₄×D₄	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×#3568	2
C₈₉×#3566	2
C₈₉×#3562	2
C₈₉×#3561	2
C₈₉×#3559	2
C₈₉×#3558	2
C₈₉×#3555	2
C₈₉×#3554	2
C₈₉×#3553	2
C₈₉×#3550	2
C₈₉×#3546	2
C₈₉×#3541	2
C₈₉×#3535	2
C₈₉×#3533	2
C₈₉×#3531	2
C₈₉×#3529	2
C₈₉×#3522	2
C₈₉×#3520	2
C₈₉×#3517	2
C₈₉×#3516	2
C₈₉×#3515	2
C₈₉×#3513	2
C₈₉×#3510	2
C₈₉×#3507	2
C₈₉×#3506	2
#63056	89

Subgroups — C89×#63056 #36440904

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#63056 #36440904