Subgroups — C₈₉×#62872 #36440720

Order 22784.

6502 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3566	C₂	1	4	yes	maximal, complemented
2	C₈₉×#3566	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3565	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3564	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3561	C₂	1	4	yes	maximal, complemented
6	C₈₉×#3560	C₂	1	4	yes	maximal, complemented
7	C₈₉×#3552	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3547	C₂	1	4	yes	maximal, complemented
9	C₈₉×#3545	C₂	1	4	yes	maximal, complemented
10	C₈₉×#3545	C₂	1	2	yes	maximal, complemented
11	C₈₉×#3538	C₂	1	2	yes	maximal, complemented
12	C₈₉×#3536	C₂	1	2	yes	maximal, complemented
13	C₈₉×#3535	C₂	1	2	yes	maximal, complemented
14	C₈₉×#3535	C₂	1	2	yes	maximal, complemented
15	C₈₉×#3534	C₂	1	2	yes	maximal, complemented
16	C₈₉×#3534	C₂	1	2	yes	maximal, complemented
17	C₈₉×#3521	C₂	1	4	yes	maximal, complemented
18	C₈₉×#3514	C₂	1	4	yes	maximal, complemented
19	C₈₉×#3505	C₂	1	2	yes	maximal, complemented
20	C₈₉×#3493	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3491	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3461	C₂	1	2	yes	maximal, complemented
23	C₂×#542×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#563×C₈₉	C₂²	1	4	yes	complemented
25	#563×C₈₉	C₂²	1	4	yes	complemented
26	#563×C₈₉	C₂²	1	4	yes	complemented
27	#563×C₈₉	C₂²	1	4	yes	complemented
28	#563×C₈₉	C₂²	1	2	yes	complemented
29	#563×C₈₉	C₂²	1	4	yes	complemented
30	#563×C₈₉	C₂²	1	4	yes	complemented
31	#562×C₈₉	C₂²	1	4	yes	complemented
32	#562×C₈₉	C₂²	1	4	yes	complemented
33	#562×C₈₉	C₂²	1	4	yes	complemented
34	#562×C₈₉	C₂²	1	4	yes	complemented
35	#562×C₈₉	C₂²	1	4	yes	complemented
36	#562×C₈₉	C₂²	1	4	yes	complemented
37	#562×C₈₉	C₂²	1	2	yes	complemented
38	#562×C₈₉	C₂²	1	2	yes	complemented
39	H(3,𝔽₄)×C₈₉	C₂²	1	2	yes	complemented
40	#560×C₈₉	C₂²	1	4	yes	complemented
41	#560×C₈₉	C₂²	1	4	yes	complemented
42	#559×C₈₉	C₂²	1	4	yes	complemented
43	#557×C₈₉	C₂²	1	2	yes	complemented
44	#556×C₈₉	C₂²	1	4	yes	complemented
45	#556×C₈₉	C₂²	1	4	yes	complemented
46	#556×C₈₉	C₂²	1	4	yes	complemented
47	#556×C₈₉	C₂²	1	4	yes	complemented
48	#556×C₈₉	C₂²	1	2	yes	complemented
49	#555×C₈₉	C₂²	1	4	yes	complemented
50	#555×C₈₉	C₂²	1	4	yes	complemented
51	#555×C₈₉	C₂²	1	4	yes	complemented
52	#555×C₈₉	C₂²	1	4	yes	complemented
53	#554×C₈₉	C₂²	1	4	yes	complemented
54	#554×C₈₉	C₂²	1	4	yes	complemented
55	#554×C₈₉	C₂²	1	4	yes	complemented
56	#553×C₈₉	C₂²	1	4	yes	complemented
57	#553×C₈₉	C₂²	1	4	yes	complemented
58	#553×C₈₉	C₂²	1	4	yes	complemented
59	#553×C₈₉	C₂²	1	2	yes	complemented
60	#553×C₈₉	C₂²	1	2	yes	complemented
61	#553×C₈₉	C₂²	1	4	yes	complemented
62	#553×C₈₉	C₂²	1	4	yes	complemented
63	#553×C₈₉	C₂²	1	4	yes	complemented
64	#553×C₈₉	C₂²	1	4	yes	complemented
65	#552×C₈₉	C₂²	1	4	yes	complemented
66	#552×C₈₉	C₂²	1	4	yes	complemented
67	#552×C₈₉	C₂²	1	4	yes	complemented
68	#552×C₈₉	C₂²	1	2	yes	complemented
69	#552×C₈₉	C₂²	1	2	yes	complemented
70	#552×C₈₉	C₂²	1	4	yes	complemented
71	#552×C₈₉	C₂²	1	4	yes	complemented
72	#552×C₈₉	C₂²	1	4	yes	complemented
73	#552×C₈₉	C₂²	1	4	yes	complemented
74	#552×C₈₉	C₂²	1	4	yes	complemented
75	#551×C₈₉	C₂²	1	4	yes	complemented
76	#551×C₈₉	C₂²	1	4	yes	complemented
77	#551×C₈₉	C₂²	1	4	yes	complemented
78	#551×C₈₉	C₂²	1	4	yes	complemented
79	#551×C₈₉	C₂²	1	4	yes	complemented
80	#551×C₈₉	C₂²	1	4	yes	complemented
81	#551×C₈₉	C₂²	1	4	yes	complemented
82	#551×C₈₉	C₂²	1	4	yes	complemented
83	#551×C₈₉	C₂²	1	4	yes	complemented
84	#551×C₈₉	C₂²	1	4	yes	complemented
85	#551×C₈₉	C₂²	1	4	yes	complemented
86	#551×C₈₉	C₂²	1	4	yes	complemented
87	#551×C₈₉	C₂²	1	4	yes	complemented
88	#551×C₈₉	C₂²	1	4	yes	complemented
89	#551×C₈₉	C₂²	1	4	yes	complemented
90	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
91	D₄×Q₈×C₈₉	C₂²	1	4	yes	complemented
92	D₄×Q₈×C₈₉	C₂²	1	2	yes	complemented
93	#548×C₈₉	C₂²	1	2	yes	complemented
94	#548×C₈₉	C₂²	1	2	yes	complemented
95	#548×C₈₉	C₂²	1	4	yes	complemented
96	#548×C₈₉	C₂²	1	4	yes	complemented
97	#547×C₈₉	C₂²	1	4	yes	complemented
98	#547×C₈₉	C₂²	1	4	yes	complemented
99	#547×C₈₉	C₂²	1	2	yes	complemented
100	#546×C₈₉	C₂²	1	2	yes	complemented
101	#546×C₈₉	C₂²	1	2	yes	complemented
102	#546×C₈₉	C₂²	1	4	yes	complemented
103	#546×C₈₉	C₂²	1	4	yes	complemented
104	#546×C₈₉	C₂²	1	4	yes	complemented
105	#546×C₈₉	C₂²	1	4	yes	complemented
106	#546×C₈₉	C₂²	1	4	yes	complemented
107	#546×C₈₉	C₂²	1	4	yes	complemented
108	#546×C₈₉	C₂²	1	4	yes	complemented
109	#546×C₈₉	C₂²	1	4	yes	complemented
110	#546×C₈₉	C₂²	1	4	yes	complemented
111	D₄²×C₈₉	C₂²	1	4	yes	complemented
112	#544×C₈₉	C₂²	1	2	yes	complemented
113	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#544×C₈₉	C₂²	1	2	yes	complemented
115	#544×C₈₉	C₂²	1	4	yes	complemented
116	#544×C₈₉	C₂²	1	4	yes	complemented
117	#543×C₈₉	C₂²	1	1	yes	characteristic, complemented
118	#543×C₈₉	C₂²	1	2	yes	complemented
119	#543×C₈₉	C₂²	1	4	yes	complemented
120	#542×C₈₉	C₂²	1	4	yes	complemented
121	#542×C₈₉	C₂²	1	4	yes	complemented
122	#542×C₈₉	C₂²	1	4	yes	complemented
123	#542×C₈₉	C₂²	1	4	yes	complemented
124	#542×C₈₉	C₂²	1	4	yes	complemented
125	#542×C₈₉	C₂²	1	4	yes	complemented
126	#542×C₈₉	C₂²	1	4	yes	complemented
127	#542×C₈₉	C₂²	1	4	yes	complemented
128	#542×C₈₉	C₂²	1	4	yes	complemented
129	#542×C₈₉	C₂²	1	4	yes	complemented
130	#542×C₈₉	C₂²	1	4	yes	complemented
131	#542×C₈₉	C₂²	1	4	yes	complemented
132	#542×C₈₉	C₂²	1	4	yes	complemented
133	#542×C₈₉	C₂²	1	4	yes	complemented
134	#542×C₈₉	C₂²	1	4	yes	complemented
135	#541×C₈₉	C₂²	1	4	yes	complemented
136	#541×C₈₉	C₂²	1	4	yes	complemented
137	#541×C₈₉	C₂²	1	4	yes	complemented
138	#541×C₈₉	C₂²	1	4	yes	complemented
139	#541×C₈₉	C₂²	1	4	yes	complemented
140	#540×C₈₉	C₂²	1	4	yes	complemented
141	#540×C₈₉	C₂²	1	4	yes	complemented
142	#539×C₈₉	C₂²	1	2	yes	complemented
143	#539×C₈₉	C₂²	1	4	yes	complemented
144	#539×C₈₉	C₂²	1	2	yes	complemented
145	#539×C₈₉	C₂²	1	2	yes	complemented
146	#539×C₈₉	C₂²	1	2	yes	complemented
147	#539×C₈₉	C₂²	1	4	yes	complemented
148	#539×C₈₉	C₂²	1	4	yes	complemented
149	#539×C₈₉	C₂²	1	2	yes	complemented
150	#539×C₈₉	C₂²	1	4	yes	complemented
151	#539×C₈₉	C₂²	1	4	yes	complemented
152	#539×C₈₉	C₂²	1	4	yes	complemented
153	#539×C₈₉	C₂²	1	4	yes	complemented
154	#539×C₈₉	C₂²	1	2	yes	complemented
155	#539×C₈₉	C₂²	1	4	yes	complemented
156	#538×C₈₉	C₂²	1	4	yes	—
157	#538×C₈₉	C₂²	1	2	yes	complemented
158	#538×C₈₉	C₂²	1	2	yes	complemented
159	#538×C₈₉	C₂²	1	4	yes	complemented
160	#538×C₈₉	C₂²	1	4	yes	complemented
161	#538×C₈₉	C₂²	1	4	yes	complemented
162	#538×C₈₉	C₂²	1	4	yes	complemented
163	#538×C₈₉	C₂²	1	4	yes	complemented
164	#538×C₈₉	C₂²	1	2	yes	complemented
165	#538×C₈₉	C₂²	1	2	yes	complemented
166	#538×C₈₉	C₂²	1	4	yes	complemented
167	#538×C₈₉	C₂²	1	4	yes	complemented
168	#538×C₈₉	C₂²	1	4	yes	complemented
169	#537×C₈₉	C₂²	1	2	yes	—
170	#537×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	#537×C₈₉	C₂²	1	2	yes	complemented
172	#537×C₈₉	C₂²	1	4	yes	complemented
173	#536×C₈₉	C₂²	1	4	yes	complemented
174	#536×C₈₉	C₂²	1	4	yes	complemented
175	#536×C₈₉	C₂²	1	4	yes	complemented
176	#536×C₈₉	C₂²	1	4	yes	complemented
177	#534×C₈₉	C₂²	1	1	yes	characteristic
178	#534×C₈₉	C₂²	1	4	yes	complemented
179	#534×C₈₉	C₂²	1	2	yes	complemented
180	#534×C₈₉	C₂²	1	4	yes	complemented
181	#533×C₈₉	C₂²	1	4	yes	complemented
182	#533×C₈₉	C₂²	1	4	yes	complemented
183	#532×C₈₉	C₂²	1	4	yes	complemented
184	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#529×C₈₉	C₂²	1	2	yes	complemented
186	#529×C₈₉	C₂²	1	2	yes	complemented
187	#529×C₈₉	C₂²	1	4	yes	complemented
188	#529×C₈₉	C₂²	1	4	yes	complemented
189	#529×C₈₉	C₂²	1	4	yes	complemented
190	#529×C₈₉	C₂²	1	2	yes	complemented
191	#529×C₈₉	C₂²	1	2	yes	complemented
192	#529×C₈₉	C₂²	1	4	yes	complemented
193	#529×C₈₉	C₂²	1	4	yes	complemented
194	#529×C₈₉	C₂²	1	4	yes	complemented
195	#529×C₈₉	C₂²	1	4	yes	complemented
196	#529×C₈₉	C₂²	1	4	yes	complemented
197	C₂×#126×C₈₉	C₂²	1	2	yes	complemented
198	C₂×#126×C₈₉	C₂²	1	4	yes	complemented
199	C₂×#124×C₈₉	C₂²	1	2	yes	complemented
200	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic, complemented
201	C₂×#124×C₈₉	C₂²	1	4	yes	complemented
202	#525×C₈₉	C₂²	1	2	yes	—
203	#525×C₈₉	C₂²	1	2	yes	complemented
204	#525×C₈₉	C₂²	1	2	yes	complemented
205	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
206	C₂×#123×C₈₉	C₂²	1	2	yes	complemented
207	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
208	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
209	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	2	yes	complemented
210	C₂×#121×C₈₉	C₂²	1	1	yes	characteristic
211	C₂×#121×C₈₉	C₂²	1	2	yes	complemented
212	#520×C₈₉	C₂²	1	2	yes	complemented
213	#518×C₈₉	C₂²	1	2	yes	complemented
214	#518×C₈₉	C₂²	1	4	yes	complemented
215	C₄×#41×C₈₉	C₂²	1	4	yes	complemented
216	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
218	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic, complemented
219	C₂×#41×C₈₉	C₂³	1	4	yes	—
220	C₂×#41×C₈₉	C₂³	1	2	yes	—
221	C₂×#41×C₈₉	C₂³	1	2	yes	—
222	C₂×#41×C₈₉	C₂³	1	2	yes	—
223	C₂×#41×C₈₉	C₂³	1	4	yes	—
224	C₂×#41×C₈₉	C₂³	1	4	yes	—
225	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
227	C₂²×Q₈×C₈₉	C₂³	1	2	yes	—
228	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
229	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
231	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
232	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
233	C₂²×D₄×C₈₉	C₂³	1	2	yes	—
234	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
235	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₈₉	C₂³	1	2	yes	—
237	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
238	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
239	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
240	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
241	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
242	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
243	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
244	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
245	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
246	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
247	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
248	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
249	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
250	#127×C₈₉	C₂³	1	4	yes	—
251	#126×C₈₉	C₂³	1	4	yes	—
252	#126×C₈₉	C₂³	1	4	yes	—
253	#126×C₈₉	C₂³	1	4	yes	—
254	#126×C₈₉	C₂³	1	4	yes	—
255	#126×C₈₉	C₂³	1	4	yes	—
256	#126×C₈₉	C₂³	1	4	yes	—
257	#126×C₈₉	C₂³	1	4	yes	—
258	#126×C₈₉	C₂³	1	4	yes	—
259	#126×C₈₉	C₂³	1	4	yes	—
260	#126×C₈₉	C₂³	1	4	yes	—
261	#126×C₈₉	C₂³	1	4	yes	—
262	#126×C₈₉	C₂³	1	4	yes	—
263	#126×C₈₉	C₂³	1	4	yes	—
264	#126×C₈₉	C₂³	1	4	yes	—
265	#126×C₈₉	C₂³	1	4	yes	—
266	#126×C₈₉	C₂³	1	4	yes	—
267	#126×C₈₉	C₂³	1	4	yes	—
268	#126×C₈₉	C₂³	1	4	yes	—
269	#126×C₈₉	C₂³	1	4	yes	—
270	#126×C₈₉	C₂³	1	4	yes	—
271	#126×C₈₉	C₂³	1	4	yes	—
272	#126×C₈₉	C₂³	1	4	yes	—
273	#126×C₈₉	C₂³	1	4	yes	—
274	#126×C₈₉	C₂³	1	4	yes	—
275	#126×C₈₉	C₂³	1	4	yes	—
276	#126×C₈₉	C₂³	1	4	yes	—
277	#126×C₈₉	C₂³	1	4	yes	—
278	#126×C₈₉	C₂³	1	4	yes	—
279	#126×C₈₉	C₂³	1	4	yes	—
280	#126×C₈₉	C₂³	1	4	yes	—
281	#126×C₈₉	C₂³	1	4	yes	—
282	#126×C₈₉	C₂³	1	4	yes	—
283	#126×C₈₉	C₂³	1	4	yes	—
284	#126×C₈₉	C₂³	1	4	yes	—
285	#125×C₈₉	C₂³	1	4	yes	—
286	#125×C₈₉	C₂³	1	4	yes	—
287	#125×C₈₉	C₂³	1	4	yes	—
288	#125×C₈₉	C₂³	1	4	yes	—
289	#125×C₈₉	C₂³	1	2	yes	—
290	#125×C₈₉	C₂³	1	2	yes	—
291	#125×C₈₉	C₂³	1	2	yes	—
292	#125×C₈₉	C₂³	1	4	yes	—
293	#125×C₈₉	C₂³	1	4	yes	—
294	#125×C₈₉	C₂³	1	2	yes	—
295	#125×C₈₉	C₂³	1	4	yes	—
296	#125×C₈₉	C₂³	1	4	yes	—
297	#125×C₈₉	C₂³	1	4	yes	—
298	#125×C₈₉	C₂³	1	4	yes	—
299	#125×C₈₉	C₂³	1	4	yes	—
300	#125×C₈₉	C₂³	1	4	yes	—
301	#125×C₈₉	C₂³	1	4	yes	—
302	#125×C₈₉	C₂³	1	4	yes	—
303	#125×C₈₉	C₂³	1	4	yes	—
304	#125×C₈₉	C₂³	1	4	yes	—
305	#125×C₈₉	C₂³	1	4	yes	—
306	#125×C₈₉	C₂³	1	4	yes	—
307	#124×C₈₉	C₂³	1	4	yes	—
308	#124×C₈₉	C₂³	1	4	yes	—
309	#124×C₈₉	C₂³	1	4	yes	—
310	#124×C₈₉	C₂³	1	4	yes	—
311	#124×C₈₉	C₂³	1	4	yes	—
312	#124×C₈₉	C₂³	1	4	yes	—
313	#124×C₈₉	C₂³	1	4	yes	—
314	#124×C₈₉	C₂³	1	4	yes	—
315	#124×C₈₉	C₂³	1	4	yes	—
316	#124×C₈₉	C₂³	1	4	yes	—
317	#124×C₈₉	C₂³	1	4	yes	—
318	#124×C₈₉	C₂³	1	4	yes	—
319	#124×C₈₉	C₂³	1	2	yes	—
320	#124×C₈₉	C₂³	1	2	yes	—
321	#124×C₈₉	C₂³	1	2	yes	—
322	#124×C₈₉	C₂³	1	4	yes	—
323	#124×C₈₉	C₂³	1	4	yes	—
324	#124×C₈₉	C₂³	1	4	yes	—
325	#124×C₈₉	C₂³	1	4	yes	—
326	#124×C₈₉	C₂³	1	2	yes	—
327	#124×C₈₉	C₂³	1	2	yes	—
328	#124×C₈₉	C₂³	1	4	yes	—
329	#124×C₈₉	C₂³	1	2	yes	—
330	#124×C₈₉	C₂³	1	4	yes	—
331	#124×C₈₉	C₂³	1	4	yes	—
332	#124×C₈₉	C₂³	1	4	yes	—
333	#124×C₈₉	C₂³	1	4	yes	—
334	#124×C₈₉	C₂³	1	4	yes	—
335	#124×C₈₉	C₂³	1	4	yes	—
336	#124×C₈₉	C₂³	1	4	yes	—
337	#123×C₈₉	C₂³	1	4	yes	—
338	#123×C₈₉	C₂³	1	4	yes	—
339	#123×C₈₉	C₂³	1	4	yes	—
340	#123×C₈₉	C₂³	1	4	yes	—
341	#123×C₈₉	C₂³	1	4	yes	—
342	#123×C₈₉	C₂³	1	4	yes	—
343	#123×C₈₉	C₂³	1	4	yes	—
344	#123×C₈₉	C₂³	1	4	yes	—
345	#123×C₈₉	C₂³	1	4	yes	—
346	#123×C₈₉	C₂³	1	4	yes	—
347	#123×C₈₉	C₂³	1	4	yes	—
348	#123×C₈₉	C₂³	1	4	yes	—
349	#123×C₈₉	C₂³	1	4	yes	—
350	#123×C₈₉	C₂³	1	4	yes	—
351	#123×C₈₉	C₂³	1	4	yes	—
352	#123×C₈₉	C₂³	1	4	yes	—
353	#123×C₈₉	C₂³	1	4	yes	—
354	#123×C₈₉	C₂³	1	4	yes	—
355	#123×C₈₉	C₂³	1	4	yes	—
356	#123×C₈₉	C₂³	1	4	yes	—
357	#123×C₈₉	C₂³	1	4	yes	—
358	#123×C₈₉	C₂³	1	4	yes	—
359	#123×C₈₉	C₂³	1	4	yes	—
360	#123×C₈₉	C₂³	1	4	yes	—
361	#123×C₈₉	C₂³	1	4	yes	—
362	#123×C₈₉	C₂³	1	4	yes	—
363	#123×C₈₉	C₂³	1	4	yes	—
364	#123×C₈₉	C₂³	1	4	yes	—
365	#123×C₈₉	C₂³	1	4	yes	—
366	#123×C₈₉	C₂³	1	4	yes	—
367	#123×C₈₉	C₂³	1	4	yes	—
368	#123×C₈₉	C₂³	1	4	yes	—
369	#123×C₈₉	C₂³	1	4	yes	—
370	#123×C₈₉	C₂³	1	4	yes	—
371	#123×C₈₉	C₂³	1	4	yes	—
372	#123×C₈₉	C₂³	1	4	yes	—
373	#123×C₈₉	C₂³	1	4	yes	—
374	#123×C₈₉	C₂³	1	4	yes	—
375	#123×C₈₉	C₂³	1	4	yes	—
376	#123×C₈₉	C₂³	1	4	yes	—
377	#123×C₈₉	C₂³	1	4	yes	—
378	#123×C₈₉	C₂³	1	4	yes	—
379	#123×C₈₉	C₂³	1	4	yes	—
380	#123×C₈₉	C₂³	1	4	yes	—
381	#123×C₈₉	C₂³	1	4	yes	—
382	#123×C₈₉	C₂³	1	4	yes	—
383	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
384	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
385	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
386	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
387	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
388	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
389	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
390	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
391	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
392	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
393	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
394	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
395	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
396	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
397	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
398	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
399	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
400	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
401	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
402	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
403	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
404	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
405	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
406	C₂²⋊Q₈×C₈₉	C₂³	1	2	yes	—
407	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
408	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
409	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
410	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
411	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
412	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
413	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
414	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
415	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
416	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
417	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
418	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
419	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
420	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
421	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
422	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
423	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
424	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
425	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
426	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
427	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
428	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
429	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
430	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
431	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
432	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
433	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
434	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
435	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
436	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
437	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
438	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
439	C₂²⋊Q₈×C₈₉	C₂³	1	4	yes	—
440	#121×C₈₉	C₂³	1	2	yes	—
441	#121×C₈₉	C₂³	1	2	yes	—
442	#121×C₈₉	C₂³	1	4	yes	—
443	#121×C₈₉	C₂³	1	2	yes	—
444	#121×C₈₉	C₂³	1	2	yes	—
445	#121×C₈₉	C₂³	1	4	yes	—
446	#121×C₈₉	C₂³	1	2	yes	—
447	#121×C₈₉	C₂³	1	4	yes	—
448	#121×C₈₉	C₂³	1	2	yes	—
449	#121×C₈₉	C₂³	1	2	yes	—
450	#121×C₈₉	C₂³	1	2	yes	—
451	#121×C₈₉	C₂³	1	2	yes	—
452	#121×C₈₉	C₂³	1	2	yes	—
453	#121×C₈₉	C₂³	1	2	yes	—
454	#121×C₈₉	C₂³	1	4	yes	—
455	#121×C₈₉	C₂³	1	4	yes	—
456	#121×C₈₉	C₂³	1	4	yes	—
457	#121×C₈₉	C₂³	1	4	yes	—
458	#121×C₈₉	C₂³	1	2	yes	—
459	#121×C₈₉	C₂³	1	4	yes	—
460	#121×C₈₉	C₂³	1	4	yes	—
461	#121×C₈₉	C₂³	1	4	yes	—
462	#121×C₈₉	C₂³	1	4	yes	—
463	#121×C₈₉	C₂³	1	4	yes	—
464	#121×C₈₉	C₂³	1	4	yes	—
465	#121×C₈₉	C₂³	1	4	yes	—
466	#121×C₈₉	C₂³	1	4	yes	—
467	#121×C₈₉	C₂³	1	4	yes	—
468	#121×C₈₉	C₂³	1	4	yes	—
469	#121×C₈₉	C₂³	1	4	yes	—
470	#121×C₈₉	C₂³	1	4	yes	—
471	#121×C₈₉	C₂³	1	4	yes	—
472	#121×C₈₉	C₂³	1	4	yes	—
473	#121×C₈₉	C₂³	1	4	yes	—
474	#121×C₈₉	C₂³	1	4	yes	—
475	#121×C₈₉	C₂³	1	4	yes	—
476	#121×C₈₉	C₂³	1	4	yes	—
477	#121×C₈₉	C₂³	1	4	yes	—
478	#121×C₈₉	C₂³	1	4	yes	—
479	#121×C₈₉	C₂³	1	4	yes	—
480	#121×C₈₉	C₂³	1	4	yes	—
481	#121×C₈₉	C₂³	1	4	yes	—
482	#121×C₈₉	C₂³	1	4	yes	—
483	#120×C₈₉	C₂³	1	4	yes	—
484	#120×C₈₉	C₂³	1	4	yes	—
485	#120×C₈₉	C₂³	1	4	yes	—
486	#120×C₈₉	C₂³	1	4	yes	—
487	#120×C₈₉	C₂³	1	4	yes	—
488	#120×C₈₉	C₂³	1	4	yes	—
489	#120×C₈₉	C₂³	1	4	yes	—
490	#120×C₈₉	C₂³	1	4	yes	—
491	#120×C₈₉	C₂³	1	4	yes	—
492	#120×C₈₉	C₂³	1	4	yes	—
493	#120×C₈₉	C₂³	1	4	yes	—
494	#120×C₈₉	C₂³	1	4	yes	—
495	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
496	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
497	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
498	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
499	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
500	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
501	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
502	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
503	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
504	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
505	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
506	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
507	C₄×Q₈×C₈₉	C₂³	1	2	yes	—
508	C₄×Q₈×C₈₉	C₂³	1	4	yes	—
509	C₄×D₄×C₈₉	C₂³	1	2	yes	—
510	C₄×D₄×C₈₉	C₂³	1	2	yes	—
511	C₄×D₄×C₈₉	C₂³	1	2	yes	—
512	C₄×D₄×C₈₉	C₂³	1	2	yes	—
513	C₄×D₄×C₈₉	C₂³	1	4	yes	—
514	C₄×D₄×C₈₉	C₂³	1	4	yes	—
515	C₄×D₄×C₈₉	C₂³	1	4	yes	—
516	C₄×D₄×C₈₉	C₂³	1	4	yes	—
517	C₄×D₄×C₈₉	C₂³	1	4	yes	—
518	C₄×D₄×C₈₉	C₂³	1	4	yes	—
519	C₄×D₄×C₈₉	C₂³	1	4	yes	—
520	C₄×D₄×C₈₉	C₂³	1	4	yes	—
521	C₄×D₄×C₈₉	C₂³	1	4	yes	—
522	C₄×D₄×C₈₉	C₂³	1	4	yes	—
523	C₄×D₄×C₈₉	C₂³	1	4	yes	—
524	C₄×D₄×C₈₉	C₂³	1	4	yes	—
525	C₄×D₄×C₈₉	C₂³	1	4	yes	—
526	C₄×D₄×C₈₉	C₂³	1	4	yes	—
527	C₄×D₄×C₈₉	C₂³	1	4	yes	—
528	C₄×D₄×C₈₉	C₂³	1	4	yes	—
529	C₄×D₄×C₈₉	C₂³	1	4	yes	—
530	C₄×D₄×C₈₉	C₂³	1	4	yes	—
531	C₄×D₄×C₈₉	C₂³	1	4	yes	—
532	C₄×D₄×C₈₉	C₂³	1	4	yes	—
533	C₄×D₄×C₈₉	C₂³	1	4	yes	—
534	C₄×D₄×C₈₉	C₂³	1	2	yes	—
535	C₄×D₄×C₈₉	C₂³	1	4	yes	—
536	C₄×D₄×C₈₉	C₂³	1	2	yes	—
537	C₄×D₄×C₈₉	C₂³	1	4	yes	—
538	C₄×D₄×C₈₉	C₂³	1	2	yes	—
539	C₄×D₄×C₈₉	C₂³	1	2	yes	—
540	C₄×D₄×C₈₉	C₂³	1	4	yes	—
541	C₄×D₄×C₈₉	C₂³	1	4	yes	—
542	C₄×D₄×C₈₉	C₂³	1	4	yes	—
543	C₄×D₄×C₈₉	C₂³	1	4	yes	—
544	C₄×D₄×C₈₉	C₂³	1	4	yes	—
545	C₄×D₄×C₈₉	C₂³	1	4	yes	—
546	C₄×D₄×C₈₉	C₂³	1	4	yes	—
547	C₄×D₄×C₈₉	C₂³	1	4	yes	—
548	C₄×D₄×C₈₉	C₂³	1	4	yes	—
549	C₄×D₄×C₈₉	C₂³	1	4	yes	—
550	C₄×D₄×C₈₉	C₂³	1	4	yes	—
551	#117×C₈₉	C₂³	1	4	yes	—
552	#117×C₈₉	C₂³	1	4	yes	—
553	#117×C₈₉	C₂³	1	4	yes	—
554	#117×C₈₉	C₂³	1	4	yes	—
555	#117×C₈₉	C₂³	1	4	yes	—
556	#117×C₈₉	C₂³	1	4	yes	—
557	#117×C₈₉	C₂³	1	4	yes	—
558	#117×C₈₉	C₂³	1	4	yes	—
559	#117×C₈₉	C₂³	1	2	yes	—
560	#117×C₈₉	C₂³	1	4	yes	—
561	#117×C₈₉	C₂³	1	2	yes	—
562	#117×C₈₉	C₂³	1	2	yes	—
563	#117×C₈₉	C₂³	1	4	yes	—
564	#117×C₈₉	C₂³	1	4	yes	—
565	#117×C₈₉	C₂³	1	4	yes	—
566	#117×C₈₉	C₂³	1	4	yes	—
567	#117×C₈₉	C₂³	1	4	yes	—
568	#117×C₈₉	C₂³	1	4	yes	—
569	#117×C₈₉	C₂³	1	4	yes	—
570	#117×C₈₉	C₂³	1	4	yes	—
571	#117×C₈₉	C₂³	1	4	yes	—
572	#117×C₈₉	C₂³	1	4	yes	—
573	#117×C₈₉	C₂³	1	4	yes	—
574	#117×C₈₉	C₂³	1	4	yes	—
575	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
576	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
577	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
578	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
579	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
580	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
581	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
582	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
583	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
584	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
585	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
586	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
587	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
588	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
589	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
590	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
591	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
592	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
593	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
594	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
595	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
596	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
597	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
598	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
599	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
600	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
601	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
602	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
603	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
604	C₂×C₂²⋊C₄×C₈₉	C₂³	1	2	yes	—
605	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
606	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
607	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
608	C₂×C₂²⋊C₄×C₈₉	C₂³	1	4	yes	—
609	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
610	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
611	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
612	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
613	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
614	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
615	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
616	C₂⁴×C₈₉	C₂⁴	1	4	yes	—
617	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
618	#41×C₈₉	—	4	4	no	—
619	#41×C₈₉	—	4	8	no	—
620	#41×C₈₉	—	8	2	no	—
621	#41×C₈₉	—	8	2	no	—
622	#41×C₈₉	—	8	4	no	—
623	#41×C₈₉	—	8	4	no	—
624	C₂×Q₈×C₈₉	—	4	2	no	—
625	C₂×Q₈×C₈₉	—	8	2	no	—
626	C₂×Q₈×C₈₉	—	8	2	no	—
627	C₂×Q₈×C₈₉	—	8	4	no	—
628	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
629	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
630	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
631	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
632	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
633	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
634	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
635	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
636	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
637	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
638	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
639	C₂×Q₈×C₈₉	C₂⁴	1	2	yes	—
640	C₂×D₄×C₈₉	—	4	2	no	—
641	C₂×D₄×C₈₉	—	4	4	no	—
642	C₂×D₄×C₈₉	—	4	8	no	—
643	C₂×D₄×C₈₉	—	8	2	no	—
644	C₂×D₄×C₈₉	—	8	2	no	—
645	C₂×D₄×C₈₉	—	8	4	no	—
646	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
647	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
648	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
649	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
650	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
651	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
652	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
653	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
654	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
655	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
656	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
657	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
658	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
659	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
660	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
661	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
662	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
663	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
664	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
665	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
666	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
667	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
668	C₂×D₄×C₈₉	C₂⁴	1	4	yes	—
669	C₂×D₄×C₈₉	C₂⁴	1	2	yes	—
670	C₂²×C₄×C₈₉	—	4	2	no	—
671	C₂²×C₄×C₈₉	—	8	2	no	—
672	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
674	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
677	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
678	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
679	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
680	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
681	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
682	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
683	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
684	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
685	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
686	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
687	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
688	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
689	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
690	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
691	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
692	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
693	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
694	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
695	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
696	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
697	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
698	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
699	C₂²×C₄×C₈₉	C₂⁴	1	4	yes	—
700	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
701	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
702	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
703	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
704	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
705	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
706	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
707	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
708	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
709	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
710	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
711	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
712	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
713	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
714	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
715	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
716	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
717	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
718	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
719	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
720	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
721	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
722	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
723	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
724	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
725	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
726	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
727	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
728	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
729	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
730	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
731	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
732	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
733	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
734	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
735	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
737	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
738	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
739	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
740	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
741	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
742	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
743	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
744	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
745	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
746	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
747	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
748	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
749	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
750	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
751	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
752	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
753	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
754	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
755	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
756	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
757	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
758	C₄⋊C₄×C₈₉	C₂⁴	1	2	yes	—
759	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
760	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
761	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
764	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
765	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
766	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
767	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
768	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
769	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
770	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
771	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	4	yes	—
782	C₂²⋊C₄×C₈₉	C₂⁴	1	4	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	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
788	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
789	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
790	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
791	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
792	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
793	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
794	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
795	C₂²⋊C₄×C₈₉	C₂⁴	1	2	yes	—
796	C₂²⋊C₄×C₈₉	C₂⁴	1	2	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	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
806	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
807	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
808	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
809	C₂²⋊C₄×C₈₉	C₂⁴	1	4	yes	—
810	C₄²×C₈₉	C₂⁴	1	4	yes	—
811	C₄²×C₈₉	C₂⁴	1	4	yes	—
812	C₄²×C₈₉	C₂⁴	1	2	yes	—
813	C₄²×C₈₉	C₂⁴	1	2	yes	—
814	C₄²×C₈₉	C₂⁴	1	2	yes	—
815	C₄²×C₈₉	C₂⁴	1	4	yes	—
816	C₄²×C₈₉	C₂⁴	1	4	yes	—
817	C₄²×C₈₉	C₂⁴	1	4	yes	—
818	C₄²×C₈₉	C₂⁴	1	4	yes	—
819	C₄²×C₈₉	C₂⁴	1	2	yes	—
820	C₄²×C₈₉	C₂⁴	1	4	yes	—
821	C₄²×C₈₉	C₂⁴	1	4	yes	—
822	C₄²×C₈₉	C₂⁴	1	4	yes	—
823	C₄²×C₈₉	C₂⁴	1	4	yes	—
824	C₄²×C₈₉	C₂⁴	1	4	yes	—
825	C₄²×C₈₉	C₂⁴	1	4	yes	—
826	C₄²×C₈₉	C₂⁴	1	4	yes	—
827	C₂³×C₈₉	—	2	2	no	—
828	C₂³×C₈₉	—	2	4	no	—
829	C₂³×C₈₉	—	4	2	no	—
830	C₂³×C₈₉	—	4	1	no	—
831	C₂³×C₈₉	—	4	2	no	—
832	C₂³×C₈₉	—	4	1	no	—
833	C₂³×C₈₉	—	4	2	no	—
834	C₂³×C₈₉	—	4	4	no	—
835	C₂³×C₈₉	—	4	2	no	—
836	C₂³×C₈₉	—	4	4	no	—
837	C₂³×C₈₉	—	4	4	no	—
838	C₂³×C₈₉	—	4	2	no	—
839	C₂³×C₈₉	C₂⁵	1	2	yes	—
840	C₂³×C₈₉	C₂⁵	1	2	yes	—
841	C₂³×C₈₉	C₂⁵	1	4	yes	—
842	C₂³×C₈₉	C₂⁵	1	4	yes	—
843	C₂³×C₈₉	C₂⁵	1	2	yes	—
844	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
845	Q₈×C₈₉	—	4	2	no	—
846	Q₈×C₈₉	—	4	2	no	—
847	Q₈×C₈₉	—	4	4	no	—
848	Q₈×C₈₉	—	4	4	no	—
849	Q₈×C₈₉	—	4	2	no	—
850	Q₈×C₈₉	—	4	2	no	—
851	Q₈×C₈₉	—	4	4	no	—
852	Q₈×C₈₉	—	4	2	no	—
853	Q₈×C₈₉	—	4	4	no	—
854	Q₈×C₈₉	—	4	2	no	—
855	Q₈×C₈₉	—	4	2	no	—
856	Q₈×C₈₉	—	4	4	no	—
857	D₄×C₈₉	—	2	8	no	—
858	D₄×C₈₉	—	2	8	no	—
859	D₄×C₈₉	—	4	1	no	—
860	D₄×C₈₉	—	4	2	no	—
861	D₄×C₈₉	—	4	1	no	—
862	D₄×C₈₉	—	4	4	no	—
863	D₄×C₈₉	—	4	4	no	—
864	D₄×C₈₉	—	4	4	no	—
865	D₄×C₈₉	—	4	4	no	—
866	D₄×C₈₉	—	4	2	no	—
867	D₄×C₈₉	—	4	4	no	—
868	D₄×C₈₉	—	4	2	no	—
869	D₄×C₈₉	—	4	4	no	—
870	D₄×C₈₉	—	4	4	no	—
871	D₄×C₈₉	—	4	4	no	—
872	D₄×C₈₉	—	4	4	no	—
873	D₄×C₈₉	—	4	4	no	—
874	D₄×C₈₉	—	4	4	no	—
875	D₄×C₈₉	—	4	4	no	—
876	D₄×C₈₉	—	4	2	no	—
877	D₄×C₈₉	—	4	2	no	—
878	D₄×C₈₉	—	4	4	no	—
879	D₄×C₈₉	—	4	4	no	—
880	D₄×C₈₉	—	4	2	no	—
881	C₂×C₄×C₈₉	—	2	2	no	—
882	C₂×C₄×C₈₉	—	2	2	no	—
883	C₂×C₄×C₈₉	—	2	4	no	—
884	C₂×C₄×C₈₉	—	4	2	no	—
885	C₂×C₄×C₈₉	—	4	2	no	—
886	C₂×C₄×C₈₉	—	4	1	no	—
887	C₂×C₄×C₈₉	—	4	2	no	—
888	C₂×C₄×C₈₉	—	4	2	no	—
889	C₂×C₄×C₈₉	—	4	2	no	—
890	C₂×C₄×C₈₉	—	4	2	no	—
891	C₂×C₄×C₈₉	—	4	2	no	—
892	C₂×C₄×C₈₉	—	4	1	no	—
893	C₂×C₄×C₈₉	—	4	4	no	—
894	C₂×C₄×C₈₉	—	4	4	no	—
895	C₂×C₄×C₈₉	—	4	4	no	—
896	C₂×C₄×C₈₉	—	4	4	no	—
897	C₂×C₄×C₈₉	—	4	1	no	—
898	C₂×C₄×C₈₉	—	4	2	no	—
899	C₂×C₄×C₈₉	—	4	2	no	—
900	C₂×C₄×C₈₉	—	4	4	no	—
901	C₂×C₄×C₈₉	—	4	2	no	—
902	C₂×C₄×C₈₉	—	4	4	no	—
903	C₂×C₄×C₈₉	—	4	1	no	—
904	C₂×C₄×C₈₉	—	4	4	no	—
905	C₂×C₄×C₈₉	—	4	4	no	—
906	C₂×C₄×C₈₉	—	4	4	no	—
907	C₂×C₄×C₈₉	—	4	4	no	—
908	C₂×C₄×C₈₉	—	4	4	no	—
909	C₂×C₄×C₈₉	—	4	4	no	—
910	C₂×C₄×C₈₉	—	4	4	no	—
911	C₂×C₄×C₈₉	—	4	2	no	—
912	C₂×C₄×C₈₉	—	4	4	no	—
913	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
914	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
915	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
916	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
917	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
918	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
919	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
920	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
921	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
922	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
923	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
924	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
925	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
926	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
927	C₂×C₄×C₈₉	C₂⁵	1	4	yes	—
928	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
929	C₂×C₄×C₈₉	C₂⁵	1	2	yes	—
930	C₂²×C₈₉	—	2	1	no	—
931	C₂²×C₈₉	—	2	1	no	—
932	C₂²×C₈₉	—	2	2	no	—
933	C₂²×C₈₉	—	2	4	no	—
934	C₂²×C₈₉	—	2	2	no	—
935	C₂²×C₈₉	—	2	4	no	—
936	C₂²×C₈₉	—	2	2	no	—
937	C₂²×C₈₉	—	2	2	no	—
938	C₂²×C₈₉	—	2	4	no	—
939	C₂²×C₈₉	—	2	4	no	—
940	C₂²×C₈₉	—	2	2	no	—
941	C₂²×C₈₉	—	2	2	no	—
942	C₂²×C₈₉	—	2	2	no	—
943	C₂²×C₈₉	—	2	4	no	—
944	C₂²×C₈₉	—	2	2	no	—
945	C₂²×C₈₉	—	2	4	no	—
946	C₂²×C₈₉	—	2	2	no	—
947	C₂²×C₈₉	—	8	4	no	—
948	C₂²×C₈₉	—	8	2	no	—
949	C₂²×C₈₉	—	16	2	no	—
950	C₂²×C₈₉	—	16	4	no	—
951	C₂²×C₈₉	#585	1	2	yes	—
952	C₂²×C₈₉	C₂⁶	1	1	yes	characteristic
953	C₄×C₈₉	—	2	2	no	—
954	C₄×C₈₉	—	2	1	no	—
955	C₄×C₈₉	—	2	1	no	—
956	C₄×C₈₉	—	2	4	no	—
957	C₄×C₈₉	—	2	4	no	—
958	C₄×C₈₉	—	2	4	no	—
959	C₄×C₈₉	—	2	2	no	—
960	C₄×C₈₉	—	2	2	no	—
961	C₄×C₈₉	—	2	4	no	—
962	C₄×C₈₉	—	2	2	no	—
963	C₄×C₈₉	—	2	4	no	—
964	C₄×C₈₉	—	2	4	no	—
965	C₄×C₈₉	—	2	2	no	—
966	C₄×C₈₉	—	2	2	no	—
967	C₄×C₈₉	—	2	4	no	—
968	C₄×C₈₉	—	2	4	no	—
969	C₄×C₈₉	—	2	2	no	—
970	#62872	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
971	C₂×C₈₉	—	2	2	no	—
972	C₂×C₈₉	—	4	2	no	—
973	C₂×C₈₉	—	4	2	no	—
974	C₂×C₈₉	—	4	2	no	—
975	C₂×C₈₉	—	4	4	no	—
976	C₂×C₈₉	—	4	4	no	—
977	C₂×C₈₉	C₂×#585	1	1	yes	characteristic
978	C₂×C₈₉	H(7,𝔽₂)	1	1	yes	characteristic
979	C₂×C₈₉	2₋¹⁺⁶	1	1	yes	characteristic
980	#3566	C₂×C₈₉	1	4	yes	complemented
981	#3566	C₂×C₈₉	1	4	yes	complemented
982	#3565	C₂×C₈₉	1	4	yes	complemented
983	#3564	C₂×C₈₉	1	4	yes	complemented
984	#3561	C₂×C₈₉	1	4	yes	complemented
985	#3560	C₂×C₈₉	1	4	yes	complemented
986	#3552	C₂×C₈₉	1	2	yes	complemented
987	#3547	C₂×C₈₉	1	4	yes	complemented
988	#3545	C₂×C₈₉	1	4	yes	complemented
989	#3545	C₂×C₈₉	1	2	yes	complemented
990	#3538	C₂×C₈₉	1	2	yes	complemented
991	#3536	C₂×C₈₉	1	2	yes	complemented
992	#3535	C₂×C₈₉	1	2	yes	complemented
993	#3535	C₂×C₈₉	1	2	yes	complemented
994	#3534	C₂×C₈₉	1	2	yes	complemented
995	#3534	C₂×C₈₉	1	2	yes	complemented
996	#3521	C₂×C₈₉	1	4	yes	complemented
997	#3514	C₂×C₈₉	1	4	yes	complemented
998	#3505	C₂×C₈₉	1	2	yes	complemented
999	#3493	C₂×C₈₉	1	1	yes	characteristic, complemented
1000	#3491	C₂×C₈₉	1	1	yes	characteristic, complemented
1001	#3461	C₂×C₈₉	1	2	yes	complemented
1002	C₂×#542	C₂×C₈₉	1	1	yes	characteristic, complemented
1003	C₈₉	#62872	1	1	yes	characteristic, direct product factor, Sylow
1004	#563	C₂²×C₈₉	1	4	yes	complemented
1005	#563	C₂²×C₈₉	1	4	yes	complemented
1006	#563	C₂²×C₈₉	1	4	yes	complemented
1007	#563	C₂²×C₈₉	1	4	yes	complemented
1008	#563	C₂²×C₈₉	1	2	yes	complemented
1009	#563	C₂²×C₈₉	1	4	yes	complemented
1010	#563	C₂²×C₈₉	1	4	yes	complemented
1011	#562	C₂²×C₈₉	1	4	yes	complemented
1012	#562	C₂²×C₈₉	1	4	yes	complemented
1013	#562	C₂²×C₈₉	1	4	yes	complemented
1014	#562	C₂²×C₈₉	1	4	yes	complemented
1015	#562	C₂²×C₈₉	1	4	yes	complemented
1016	#562	C₂²×C₈₉	1	4	yes	complemented
1017	#562	C₂²×C₈₉	1	2	yes	complemented
1018	#562	C₂²×C₈₉	1	2	yes	complemented
1019	H(3,𝔽₄)	C₂²×C₈₉	1	2	yes	complemented
1020	#560	C₂²×C₈₉	1	4	yes	complemented
1021	#560	C₂²×C₈₉	1	4	yes	complemented
1022	#559	C₂²×C₈₉	1	4	yes	complemented
1023	#557	C₂²×C₈₉	1	2	yes	complemented
1024	#556	C₂²×C₈₉	1	4	yes	complemented
1025	#556	C₂²×C₈₉	1	4	yes	complemented
1026	#556	C₂²×C₈₉	1	4	yes	complemented
1027	#556	C₂²×C₈₉	1	4	yes	complemented
1028	#556	C₂²×C₈₉	1	2	yes	complemented
1029	#555	C₂²×C₈₉	1	4	yes	complemented
1030	#555	C₂²×C₈₉	1	4	yes	complemented
1031	#555	C₂²×C₈₉	1	4	yes	complemented
1032	#555	C₂²×C₈₉	1	4	yes	complemented
1033	#554	C₂²×C₈₉	1	4	yes	complemented
1034	#554	C₂²×C₈₉	1	4	yes	complemented
1035	#554	C₂²×C₈₉	1	4	yes	complemented
1036	#553	C₂²×C₈₉	1	4	yes	complemented
1037	#553	C₂²×C₈₉	1	4	yes	complemented
1038	#553	C₂²×C₈₉	1	4	yes	complemented
1039	#553	C₂²×C₈₉	1	2	yes	complemented
1040	#553	C₂²×C₈₉	1	2	yes	complemented
1041	#553	C₂²×C₈₉	1	4	yes	complemented
1042	#553	C₂²×C₈₉	1	4	yes	complemented
1043	#553	C₂²×C₈₉	1	4	yes	complemented
1044	#553	C₂²×C₈₉	1	4	yes	complemented
1045	#552	C₂²×C₈₉	1	4	yes	complemented
1046	#552	C₂²×C₈₉	1	4	yes	complemented
1047	#552	C₂²×C₈₉	1	4	yes	complemented
1048	#552	C₂²×C₈₉	1	2	yes	complemented
1049	#552	C₂²×C₈₉	1	2	yes	complemented
1050	#552	C₂²×C₈₉	1	4	yes	complemented
1051	#552	C₂²×C₈₉	1	4	yes	complemented
1052	#552	C₂²×C₈₉	1	4	yes	complemented
1053	#552	C₂²×C₈₉	1	4	yes	complemented
1054	#552	C₂²×C₈₉	1	4	yes	complemented
1055	#551	C₂²×C₈₉	1	4	yes	complemented
1056	#551	C₂²×C₈₉	1	4	yes	complemented
1057	#551	C₂²×C₈₉	1	4	yes	complemented
1058	#551	C₂²×C₈₉	1	4	yes	complemented
1059	#551	C₂²×C₈₉	1	4	yes	complemented
1060	#551	C₂²×C₈₉	1	4	yes	complemented
1061	#551	C₂²×C₈₉	1	4	yes	complemented
1062	#551	C₂²×C₈₉	1	4	yes	complemented
1063	#551	C₂²×C₈₉	1	4	yes	complemented
1064	#551	C₂²×C₈₉	1	4	yes	complemented
1065	#551	C₂²×C₈₉	1	4	yes	complemented
1066	#551	C₂²×C₈₉	1	4	yes	complemented
1067	#551	C₂²×C₈₉	1	4	yes	complemented
1068	#551	C₂²×C₈₉	1	4	yes	complemented
1069	#551	C₂²×C₈₉	1	4	yes	complemented
1070	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1071	D₄×Q₈	C₂²×C₈₉	1	4	yes	complemented
1072	D₄×Q₈	C₂²×C₈₉	1	2	yes	complemented
1073	#548	C₂²×C₈₉	1	2	yes	complemented
1074	#548	C₂²×C₈₉	1	2	yes	complemented
1075	#548	C₂²×C₈₉	1	4	yes	complemented
1076	#548	C₂²×C₈₉	1	4	yes	complemented
1077	#547	C₂²×C₈₉	1	4	yes	complemented
1078	#547	C₂²×C₈₉	1	4	yes	complemented
1079	#547	C₂²×C₈₉	1	2	yes	complemented
1080	#546	C₂²×C₈₉	1	2	yes	complemented
1081	#546	C₂²×C₈₉	1	2	yes	complemented
1082	#546	C₂²×C₈₉	1	4	yes	complemented
1083	#546	C₂²×C₈₉	1	4	yes	complemented
1084	#546	C₂²×C₈₉	1	4	yes	complemented
1085	#546	C₂²×C₈₉	1	4	yes	complemented
1086	#546	C₂²×C₈₉	1	4	yes	complemented
1087	#546	C₂²×C₈₉	1	4	yes	complemented
1088	#546	C₂²×C₈₉	1	4	yes	complemented
1089	#546	C₂²×C₈₉	1	4	yes	complemented
1090	#546	C₂²×C₈₉	1	4	yes	complemented
1091	D₄²	C₂²×C₈₉	1	4	yes	complemented
1092	#544	C₂²×C₈₉	1	2	yes	complemented
1093	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
1094	#544	C₂²×C₈₉	1	2	yes	complemented
1095	#544	C₂²×C₈₉	1	4	yes	complemented
1096	#544	C₂²×C₈₉	1	4	yes	complemented
1097	#543	C₂²×C₈₉	1	1	yes	characteristic, complemented
1098	#543	C₂²×C₈₉	1	2	yes	complemented
1099	#543	C₂²×C₈₉	1	4	yes	complemented
1100	#542	C₂²×C₈₉	1	4	yes	complemented
1101	#542	C₂²×C₈₉	1	4	yes	complemented
1102	#542	C₂²×C₈₉	1	4	yes	complemented
1103	#542	C₂²×C₈₉	1	4	yes	complemented
1104	#542	C₂²×C₈₉	1	4	yes	complemented
1105	#542	C₂²×C₈₉	1	4	yes	complemented
1106	#542	C₂²×C₈₉	1	4	yes	complemented
1107	#542	C₂²×C₈₉	1	4	yes	complemented
1108	#542	C₂²×C₈₉	1	4	yes	complemented
1109	#542	C₂²×C₈₉	1	4	yes	complemented
1110	#542	C₂²×C₈₉	1	4	yes	complemented
1111	#542	C₂²×C₈₉	1	4	yes	complemented
1112	#542	C₂²×C₈₉	1	4	yes	complemented
1113	#542	C₂²×C₈₉	1	4	yes	complemented
1114	#542	C₂²×C₈₉	1	4	yes	complemented
1115	#541	C₂²×C₈₉	1	4	yes	complemented
1116	#541	C₂²×C₈₉	1	4	yes	complemented
1117	#541	C₂²×C₈₉	1	4	yes	complemented
1118	#541	C₂²×C₈₉	1	4	yes	complemented
1119	#541	C₂²×C₈₉	1	4	yes	complemented
1120	#540	C₂²×C₈₉	1	4	yes	complemented
1121	#540	C₂²×C₈₉	1	4	yes	complemented
1122	#539	C₂²×C₈₉	1	2	yes	complemented
1123	#539	C₂²×C₈₉	1	4	yes	complemented
1124	#539	C₂²×C₈₉	1	2	yes	complemented
1125	#539	C₂²×C₈₉	1	2	yes	complemented
1126	#539	C₂²×C₈₉	1	2	yes	complemented
1127	#539	C₂²×C₈₉	1	4	yes	complemented
1128	#539	C₂²×C₈₉	1	4	yes	complemented
1129	#539	C₂²×C₈₉	1	2	yes	complemented
1130	#539	C₂²×C₈₉	1	4	yes	complemented
1131	#539	C₂²×C₈₉	1	4	yes	complemented
1132	#539	C₂²×C₈₉	1	4	yes	complemented
1133	#539	C₂²×C₈₉	1	4	yes	complemented
1134	#539	C₂²×C₈₉	1	2	yes	complemented
1135	#539	C₂²×C₈₉	1	4	yes	complemented
1136	#538	C₂²×C₈₉	1	4	yes	—
1137	#538	C₂²×C₈₉	1	2	yes	complemented
1138	#538	C₂²×C₈₉	1	2	yes	complemented
1139	#538	C₂²×C₈₉	1	4	yes	complemented
1140	#538	C₂²×C₈₉	1	4	yes	complemented
1141	#538	C₂²×C₈₉	1	4	yes	complemented
1142	#538	C₂²×C₈₉	1	4	yes	complemented
1143	#538	C₂²×C₈₉	1	4	yes	complemented
1144	#538	C₂²×C₈₉	1	2	yes	complemented
1145	#538	C₂²×C₈₉	1	2	yes	complemented
1146	#538	C₂²×C₈₉	1	4	yes	complemented
1147	#538	C₂²×C₈₉	1	4	yes	complemented
1148	#538	C₂²×C₈₉	1	4	yes	complemented
1149	#537	C₂²×C₈₉	1	2	yes	—
1150	#537	C₂²×C₈₉	1	1	yes	characteristic, complemented
1151	#537	C₂²×C₈₉	1	2	yes	complemented
1152	#537	C₂²×C₈₉	1	4	yes	complemented
1153	#536	C₂²×C₈₉	1	4	yes	complemented
1154	#536	C₂²×C₈₉	1	4	yes	complemented
1155	#536	C₂²×C₈₉	1	4	yes	complemented
1156	#536	C₂²×C₈₉	1	4	yes	complemented
1157	#534	C₂²×C₈₉	1	1	yes	characteristic
1158	#534	C₂²×C₈₉	1	4	yes	complemented
1159	#534	C₂²×C₈₉	1	2	yes	complemented
1160	#534	C₂²×C₈₉	1	4	yes	complemented
1161	#533	C₂²×C₈₉	1	4	yes	complemented
1162	#533	C₂²×C₈₉	1	4	yes	complemented
1163	#532	C₂²×C₈₉	1	4	yes	complemented
1164	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1165	#529	C₂²×C₈₉	1	2	yes	complemented
1166	#529	C₂²×C₈₉	1	2	yes	complemented
1167	#529	C₂²×C₈₉	1	4	yes	complemented
1168	#529	C₂²×C₈₉	1	4	yes	complemented
1169	#529	C₂²×C₈₉	1	4	yes	complemented
1170	#529	C₂²×C₈₉	1	2	yes	complemented
1171	#529	C₂²×C₈₉	1	2	yes	complemented
1172	#529	C₂²×C₈₉	1	4	yes	complemented
1173	#529	C₂²×C₈₉	1	4	yes	complemented
1174	#529	C₂²×C₈₉	1	4	yes	complemented
1175	#529	C₂²×C₈₉	1	4	yes	complemented
1176	#529	C₂²×C₈₉	1	4	yes	complemented
1177	C₂×#126	C₂²×C₈₉	1	2	yes	complemented
1178	C₂×#126	C₂²×C₈₉	1	4	yes	complemented
1179	C₂×#124	C₂²×C₈₉	1	2	yes	complemented
1180	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic, complemented
1181	C₂×#124	C₂²×C₈₉	1	4	yes	complemented
1182	#525	C₂²×C₈₉	1	2	yes	—
1183	#525	C₂²×C₈₉	1	2	yes	complemented
1184	#525	C₂²×C₈₉	1	2	yes	complemented
1185	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
1186	C₂×#123	C₂²×C₈₉	1	2	yes	complemented
1187	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1188	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1189	C₂×C₂²⋊Q₈	C₂²×C₈₉	1	2	yes	complemented
1190	C₂×#121	C₂²×C₈₉	1	1	yes	characteristic
1191	C₂×#121	C₂²×C₈₉	1	2	yes	complemented
1192	#520	C₂²×C₈₉	1	2	yes	complemented
1193	#518	C₂²×C₈₉	1	2	yes	complemented
1194	#518	C₂²×C₈₉	1	4	yes	complemented
1195	C₄×#41	C₂²×C₈₉	1	4	yes	complemented
1196	C₂×C₄×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1197	C₂×C₄×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1198	C₂×#117	C₂²×C₈₉	1	1	yes	characteristic, complemented
1199	C₂×#41	C₂³×C₈₉	1	4	yes	—
1200	C₂×#41	C₂³×C₈₉	1	2	yes	—
1201	C₂×#41	C₂³×C₈₉	1	2	yes	—
1202	C₂×#41	C₂³×C₈₉	1	2	yes	—
1203	C₂×#41	C₂³×C₈₉	1	4	yes	—
1204	C₂×#41	C₂³×C₈₉	1	4	yes	—
1205	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1206	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1207	C₂²×Q₈	C₂³×C₈₉	1	2	yes	—
1208	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
1209	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1210	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1211	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1212	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1213	C₂²×D₄	C₂³×C₈₉	1	2	yes	—
1214	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
1215	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
1216	C₂³×C₄	C₂³×C₈₉	1	2	yes	—
1217	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1218	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1219	C₄⋊Q₈	C₂³×C₈₉	1	2	yes	—
1220	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1221	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1222	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1223	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1224	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1225	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1226	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1227	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1228	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1229	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
1230	#127	C₂³×C₈₉	1	4	yes	—
1231	#126	C₂³×C₈₉	1	4	yes	—
1232	#126	C₂³×C₈₉	1	4	yes	—
1233	#126	C₂³×C₈₉	1	4	yes	—
1234	#126	C₂³×C₈₉	1	4	yes	—
1235	#126	C₂³×C₈₉	1	4	yes	—
1236	#126	C₂³×C₈₉	1	4	yes	—
1237	#126	C₂³×C₈₉	1	4	yes	—
1238	#126	C₂³×C₈₉	1	4	yes	—
1239	#126	C₂³×C₈₉	1	4	yes	—
1240	#126	C₂³×C₈₉	1	4	yes	—
1241	#126	C₂³×C₈₉	1	4	yes	—
1242	#126	C₂³×C₈₉	1	4	yes	—
1243	#126	C₂³×C₈₉	1	4	yes	—
1244	#126	C₂³×C₈₉	1	4	yes	—
1245	#126	C₂³×C₈₉	1	4	yes	—
1246	#126	C₂³×C₈₉	1	4	yes	—
1247	#126	C₂³×C₈₉	1	4	yes	—
1248	#126	C₂³×C₈₉	1	4	yes	—
1249	#126	C₂³×C₈₉	1	4	yes	—
1250	#126	C₂³×C₈₉	1	4	yes	—
1251	#126	C₂³×C₈₉	1	4	yes	—
1252	#126	C₂³×C₈₉	1	4	yes	—
1253	#126	C₂³×C₈₉	1	4	yes	—
1254	#126	C₂³×C₈₉	1	4	yes	—
1255	#126	C₂³×C₈₉	1	4	yes	—
1256	#126	C₂³×C₈₉	1	4	yes	—
1257	#126	C₂³×C₈₉	1	4	yes	—
1258	#126	C₂³×C₈₉	1	4	yes	—
1259	#126	C₂³×C₈₉	1	4	yes	—
1260	#126	C₂³×C₈₉	1	4	yes	—
1261	#126	C₂³×C₈₉	1	4	yes	—
1262	#126	C₂³×C₈₉	1	4	yes	—
1263	#126	C₂³×C₈₉	1	4	yes	—
1264	#126	C₂³×C₈₉	1	4	yes	—
1265	#125	C₂³×C₈₉	1	4	yes	—
1266	#125	C₂³×C₈₉	1	4	yes	—
1267	#125	C₂³×C₈₉	1	4	yes	—
1268	#125	C₂³×C₈₉	1	4	yes	—
1269	#125	C₂³×C₈₉	1	2	yes	—
1270	#125	C₂³×C₈₉	1	2	yes	—
1271	#125	C₂³×C₈₉	1	2	yes	—
1272	#125	C₂³×C₈₉	1	4	yes	—
1273	#125	C₂³×C₈₉	1	4	yes	—
1274	#125	C₂³×C₈₉	1	2	yes	—
1275	#125	C₂³×C₈₉	1	4	yes	—
1276	#125	C₂³×C₈₉	1	4	yes	—
1277	#125	C₂³×C₈₉	1	4	yes	—
1278	#125	C₂³×C₈₉	1	4	yes	—
1279	#125	C₂³×C₈₉	1	4	yes	—
1280	#125	C₂³×C₈₉	1	4	yes	—
1281	#125	C₂³×C₈₉	1	4	yes	—
1282	#125	C₂³×C₈₉	1	4	yes	—
1283	#125	C₂³×C₈₉	1	4	yes	—
1284	#125	C₂³×C₈₉	1	4	yes	—
1285	#125	C₂³×C₈₉	1	4	yes	—
1286	#125	C₂³×C₈₉	1	4	yes	—
1287	#124	C₂³×C₈₉	1	4	yes	—
1288	#124	C₂³×C₈₉	1	4	yes	—
1289	#124	C₂³×C₈₉	1	4	yes	—
1290	#124	C₂³×C₈₉	1	4	yes	—
1291	#124	C₂³×C₈₉	1	4	yes	—
1292	#124	C₂³×C₈₉	1	4	yes	—
1293	#124	C₂³×C₈₉	1	4	yes	—
1294	#124	C₂³×C₈₉	1	4	yes	—
1295	#124	C₂³×C₈₉	1	4	yes	—
1296	#124	C₂³×C₈₉	1	4	yes	—
1297	#124	C₂³×C₈₉	1	4	yes	—
1298	#124	C₂³×C₈₉	1	4	yes	—
1299	#124	C₂³×C₈₉	1	2	yes	—
1300	#124	C₂³×C₈₉	1	2	yes	—
1301	#124	C₂³×C₈₉	1	2	yes	—
1302	#124	C₂³×C₈₉	1	4	yes	—
1303	#124	C₂³×C₈₉	1	4	yes	—
1304	#124	C₂³×C₈₉	1	4	yes	—
1305	#124	C₂³×C₈₉	1	4	yes	—
1306	#124	C₂³×C₈₉	1	2	yes	—
1307	#124	C₂³×C₈₉	1	2	yes	—
1308	#124	C₂³×C₈₉	1	4	yes	—
1309	#124	C₂³×C₈₉	1	2	yes	—
1310	#124	C₂³×C₈₉	1	4	yes	—
1311	#124	C₂³×C₈₉	1	4	yes	—
1312	#124	C₂³×C₈₉	1	4	yes	—
1313	#124	C₂³×C₈₉	1	4	yes	—
1314	#124	C₂³×C₈₉	1	4	yes	—
1315	#124	C₂³×C₈₉	1	4	yes	—
1316	#124	C₂³×C₈₉	1	4	yes	—
1317	#123	C₂³×C₈₉	1	4	yes	—
1318	#123	C₂³×C₈₉	1	4	yes	—
1319	#123	C₂³×C₈₉	1	4	yes	—
1320	#123	C₂³×C₈₉	1	4	yes	—
1321	#123	C₂³×C₈₉	1	4	yes	—
1322	#123	C₂³×C₈₉	1	4	yes	—
1323	#123	C₂³×C₈₉	1	4	yes	—
1324	#123	C₂³×C₈₉	1	4	yes	—
1325	#123	C₂³×C₈₉	1	4	yes	—
1326	#123	C₂³×C₈₉	1	4	yes	—
1327	#123	C₂³×C₈₉	1	4	yes	—
1328	#123	C₂³×C₈₉	1	4	yes	—
1329	#123	C₂³×C₈₉	1	4	yes	—
1330	#123	C₂³×C₈₉	1	4	yes	—
1331	#123	C₂³×C₈₉	1	4	yes	—
1332	#123	C₂³×C₈₉	1	4	yes	—
1333	#123	C₂³×C₈₉	1	4	yes	—
1334	#123	C₂³×C₈₉	1	4	yes	—
1335	#123	C₂³×C₈₉	1	4	yes	—
1336	#123	C₂³×C₈₉	1	4	yes	—
1337	#123	C₂³×C₈₉	1	4	yes	—
1338	#123	C₂³×C₈₉	1	4	yes	—
1339	#123	C₂³×C₈₉	1	4	yes	—
1340	#123	C₂³×C₈₉	1	4	yes	—
1341	#123	C₂³×C₈₉	1	4	yes	—
1342	#123	C₂³×C₈₉	1	4	yes	—
1343	#123	C₂³×C₈₉	1	4	yes	—
1344	#123	C₂³×C₈₉	1	4	yes	—
1345	#123	C₂³×C₈₉	1	4	yes	—
1346	#123	C₂³×C₈₉	1	4	yes	—
1347	#123	C₂³×C₈₉	1	4	yes	—
1348	#123	C₂³×C₈₉	1	4	yes	—
1349	#123	C₂³×C₈₉	1	4	yes	—
1350	#123	C₂³×C₈₉	1	4	yes	—
1351	#123	C₂³×C₈₉	1	4	yes	—
1352	#123	C₂³×C₈₉	1	4	yes	—
1353	#123	C₂³×C₈₉	1	4	yes	—
1354	#123	C₂³×C₈₉	1	4	yes	—
1355	#123	C₂³×C₈₉	1	4	yes	—
1356	#123	C₂³×C₈₉	1	4	yes	—
1357	#123	C₂³×C₈₉	1	4	yes	—
1358	#123	C₂³×C₈₉	1	4	yes	—
1359	#123	C₂³×C₈₉	1	4	yes	—
1360	#123	C₂³×C₈₉	1	4	yes	—
1361	#123	C₂³×C₈₉	1	4	yes	—
1362	#123	C₂³×C₈₉	1	4	yes	—
1363	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1364	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1365	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1366	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1367	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1368	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1369	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1370	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1371	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1372	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1373	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1374	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1375	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1376	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1377	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1378	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1379	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1380	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1381	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1382	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1383	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1384	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1385	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1386	C₂²⋊Q₈	C₂³×C₈₉	1	2	yes	—
1387	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1388	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1389	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1390	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1391	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1392	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1393	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1394	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1395	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1396	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1397	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1398	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1399	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1400	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1401	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1402	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1403	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1404	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1405	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1406	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1407	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1408	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1409	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1410	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1411	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1412	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1413	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1414	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1415	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1416	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1417	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1418	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1419	C₂²⋊Q₈	C₂³×C₈₉	1	4	yes	—
1420	#121	C₂³×C₈₉	1	2	yes	—
1421	#121	C₂³×C₈₉	1	2	yes	—
1422	#121	C₂³×C₈₉	1	4	yes	—
1423	#121	C₂³×C₈₉	1	2	yes	—
1424	#121	C₂³×C₈₉	1	2	yes	—
1425	#121	C₂³×C₈₉	1	4	yes	—
1426	#121	C₂³×C₈₉	1	2	yes	—
1427	#121	C₂³×C₈₉	1	4	yes	—
1428	#121	C₂³×C₈₉	1	2	yes	—
1429	#121	C₂³×C₈₉	1	2	yes	—
1430	#121	C₂³×C₈₉	1	2	yes	—
1431	#121	C₂³×C₈₉	1	2	yes	—
1432	#121	C₂³×C₈₉	1	2	yes	—
1433	#121	C₂³×C₈₉	1	2	yes	—
1434	#121	C₂³×C₈₉	1	4	yes	—
1435	#121	C₂³×C₈₉	1	4	yes	—
1436	#121	C₂³×C₈₉	1	4	yes	—
1437	#121	C₂³×C₈₉	1	4	yes	—
1438	#121	C₂³×C₈₉	1	2	yes	—
1439	#121	C₂³×C₈₉	1	4	yes	—
1440	#121	C₂³×C₈₉	1	4	yes	—
1441	#121	C₂³×C₈₉	1	4	yes	—
1442	#121	C₂³×C₈₉	1	4	yes	—
1443	#121	C₂³×C₈₉	1	4	yes	—
1444	#121	C₂³×C₈₉	1	4	yes	—
1445	#121	C₂³×C₈₉	1	4	yes	—
1446	#121	C₂³×C₈₉	1	4	yes	—
1447	#121	C₂³×C₈₉	1	4	yes	—
1448	#121	C₂³×C₈₉	1	4	yes	—
1449	#121	C₂³×C₈₉	1	4	yes	—
1450	#121	C₂³×C₈₉	1	4	yes	—
1451	#121	C₂³×C₈₉	1	4	yes	—
1452	#121	C₂³×C₈₉	1	4	yes	—
1453	#121	C₂³×C₈₉	1	4	yes	—
1454	#121	C₂³×C₈₉	1	4	yes	—
1455	#121	C₂³×C₈₉	1	4	yes	—
1456	#121	C₂³×C₈₉	1	4	yes	—
1457	#121	C₂³×C₈₉	1	4	yes	—
1458	#121	C₂³×C₈₉	1	4	yes	—
1459	#121	C₂³×C₈₉	1	4	yes	—
1460	#121	C₂³×C₈₉	1	4	yes	—
1461	#121	C₂³×C₈₉	1	4	yes	—
1462	#121	C₂³×C₈₉	1	4	yes	—
1463	#120	C₂³×C₈₉	1	4	yes	—
1464	#120	C₂³×C₈₉	1	4	yes	—
1465	#120	C₂³×C₈₉	1	4	yes	—
1466	#120	C₂³×C₈₉	1	4	yes	—
1467	#120	C₂³×C₈₉	1	4	yes	—
1468	#120	C₂³×C₈₉	1	4	yes	—
1469	#120	C₂³×C₈₉	1	4	yes	—
1470	#120	C₂³×C₈₉	1	4	yes	—
1471	#120	C₂³×C₈₉	1	4	yes	—
1472	#120	C₂³×C₈₉	1	4	yes	—
1473	#120	C₂³×C₈₉	1	4	yes	—
1474	#120	C₂³×C₈₉	1	4	yes	—
1475	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1476	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1477	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1478	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1479	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1480	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1481	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1482	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1483	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1484	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1485	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1486	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1487	C₄×Q₈	C₂³×C₈₉	1	2	yes	—
1488	C₄×Q₈	C₂³×C₈₉	1	4	yes	—
1489	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1490	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1491	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1492	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1493	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1494	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1495	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1496	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1497	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1498	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1499	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1500	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1501	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1502	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1503	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1504	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1505	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1506	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1507	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1508	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1509	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1510	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1511	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1512	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1513	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1514	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1515	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1516	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1517	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1518	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1519	C₄×D₄	C₂³×C₈₉	1	2	yes	—
1520	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1521	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1522	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1523	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1524	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1525	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1526	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1527	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1528	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1529	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1530	C₄×D₄	C₂³×C₈₉	1	4	yes	—
1531	#117	C₂³×C₈₉	1	4	yes	—
1532	#117	C₂³×C₈₉	1	4	yes	—
1533	#117	C₂³×C₈₉	1	4	yes	—
1534	#117	C₂³×C₈₉	1	4	yes	—
1535	#117	C₂³×C₈₉	1	4	yes	—
1536	#117	C₂³×C₈₉	1	4	yes	—
1537	#117	C₂³×C₈₉	1	4	yes	—
1538	#117	C₂³×C₈₉	1	4	yes	—
1539	#117	C₂³×C₈₉	1	2	yes	—
1540	#117	C₂³×C₈₉	1	4	yes	—
1541	#117	C₂³×C₈₉	1	2	yes	—
1542	#117	C₂³×C₈₉	1	2	yes	—
1543	#117	C₂³×C₈₉	1	4	yes	—
1544	#117	C₂³×C₈₉	1	4	yes	—
1545	#117	C₂³×C₈₉	1	4	yes	—
1546	#117	C₂³×C₈₉	1	4	yes	—
1547	#117	C₂³×C₈₉	1	4	yes	—
1548	#117	C₂³×C₈₉	1	4	yes	—
1549	#117	C₂³×C₈₉	1	4	yes	—
1550	#117	C₂³×C₈₉	1	4	yes	—
1551	#117	C₂³×C₈₉	1	4	yes	—
1552	#117	C₂³×C₈₉	1	4	yes	—
1553	#117	C₂³×C₈₉	1	4	yes	—
1554	#117	C₂³×C₈₉	1	4	yes	—
1555	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1556	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1557	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1558	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1559	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1560	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1561	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1562	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1563	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1564	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1565	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1566	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1567	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
1568	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1569	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
1570	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1571	C₂×C₂²⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1572	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1573	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1574	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1575	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1576	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1577	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1578	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1579	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1580	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1581	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1582	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1583	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1584	C₂×C₂²⋊C₄	C₂³×C₈₉	1	2	yes	—
1585	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1586	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1587	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1588	C₂×C₂²⋊C₄	C₂³×C₈₉	1	4	yes	—
1589	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1590	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1591	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
1592	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1593	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
1594	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
1595	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1596	C₂⁴	C₂⁴×C₈₉	1	4	yes	—
1597	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
1598	#41	—	4	4	no	—
1599	#41	—	4	8	no	—
1600	#41	—	8	2	no	—
1601	#41	—	8	2	no	—
1602	#41	—	8	4	no	—
1603	#41	—	8	4	no	—
1604	C₂×Q₈	—	4	2	no	—
1605	C₂×Q₈	—	8	2	no	—
1606	C₂×Q₈	—	8	2	no	—
1607	C₂×Q₈	—	8	4	no	—
1608	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1609	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1610	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1611	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1612	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1613	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1614	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1615	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1616	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1617	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1618	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
1619	C₂×Q₈	C₂⁴×C₈₉	1	2	yes	—
1620	C₂×D₄	—	4	2	no	—
1621	C₂×D₄	—	4	4	no	—
1622	C₂×D₄	—	4	8	no	—
1623	C₂×D₄	—	8	2	no	—
1624	C₂×D₄	—	8	2	no	—
1625	C₂×D₄	—	8	4	no	—
1626	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1627	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1628	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1629	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1630	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1631	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1632	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1633	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1634	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1635	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1636	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1637	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1638	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1639	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1640	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1641	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1642	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1643	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1644	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1645	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1646	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1647	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1648	C₂×D₄	C₂⁴×C₈₉	1	4	yes	—
1649	C₂×D₄	C₂⁴×C₈₉	1	2	yes	—
1650	C₂²×C₄	—	4	2	no	—
1651	C₂²×C₄	—	8	2	no	—
1652	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1653	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1654	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1655	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1656	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1657	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1658	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1659	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1660	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1661	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1662	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1663	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1664	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1665	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1666	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1667	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1668	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1669	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1670	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1671	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1672	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1673	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1674	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1675	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1676	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1677	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1678	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1679	C₂²×C₄	C₂⁴×C₈₉	1	4	yes	—
1680	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1681	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1682	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1683	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
1684	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1685	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1686	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1687	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1688	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1689	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1690	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1691	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1692	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1693	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1694	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1695	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1696	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1697	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1698	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1699	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1700	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1701	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1702	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1703	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1704	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1705	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1706	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1707	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1708	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1709	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1710	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1711	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1712	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1713	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1714	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1715	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1716	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1717	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1718	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1719	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1720	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1721	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1722	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1723	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1724	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1725	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1726	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1727	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1728	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1729	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1730	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1731	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1732	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1733	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1734	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1735	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1736	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1737	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1738	C₄⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1739	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1740	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1741	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1742	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1743	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1744	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1745	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1746	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1747	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1748	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1749	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1750	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1751	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1752	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1753	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1754	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1755	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1756	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1757	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1758	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1759	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1760	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1761	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1762	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1763	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1764	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1765	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1766	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1767	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1768	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1769	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1770	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1771	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1772	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1773	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1774	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1775	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1776	C₂²⋊C₄	C₂⁴×C₈₉	1	2	yes	—
1777	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1778	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1779	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1780	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1781	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1782	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1783	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1784	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1785	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1786	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1787	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1788	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1789	C₂²⋊C₄	C₂⁴×C₈₉	1	4	yes	—
1790	C₄²	C₂⁴×C₈₉	1	4	yes	—
1791	C₄²	C₂⁴×C₈₉	1	4	yes	—
1792	C₄²	C₂⁴×C₈₉	1	2	yes	—
1793	C₄²	C₂⁴×C₈₉	1	2	yes	—
1794	C₄²	C₂⁴×C₈₉	1	2	yes	—
1795	C₄²	C₂⁴×C₈₉	1	4	yes	—
1796	C₄²	C₂⁴×C₈₉	1	4	yes	—
1797	C₄²	C₂⁴×C₈₉	1	4	yes	—
1798	C₄²	C₂⁴×C₈₉	1	4	yes	—
1799	C₄²	C₂⁴×C₈₉	1	2	yes	—
1800	C₄²	C₂⁴×C₈₉	1	4	yes	—
1801	C₄²	C₂⁴×C₈₉	1	4	yes	—
1802	C₄²	C₂⁴×C₈₉	1	4	yes	—
1803	C₄²	C₂⁴×C₈₉	1	4	yes	—
1804	C₄²	C₂⁴×C₈₉	1	4	yes	—
1805	C₄²	C₂⁴×C₈₉	1	4	yes	—
1806	C₄²	C₂⁴×C₈₉	1	4	yes	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	4	no	—
1809	C₂³	—	4	2	no	—
1810	C₂³	—	4	1	no	—
1811	C₂³	—	4	2	no	—
1812	C₂³	—	4	1	no	—
1813	C₂³	—	4	2	no	—
1814	C₂³	—	4	4	no	—
1815	C₂³	—	4	2	no	—
1816	C₂³	—	4	4	no	—
1817	C₂³	—	4	4	no	—
1818	C₂³	—	4	2	no	—
1819	C₂³	C₂⁵×C₈₉	1	2	yes	—
1820	C₂³	C₂⁵×C₈₉	1	2	yes	—
1821	C₂³	C₂⁵×C₈₉	1	4	yes	—
1822	C₂³	C₂⁵×C₈₉	1	4	yes	—
1823	C₂³	C₂⁵×C₈₉	1	2	yes	—
1824	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
1825	Q₈	—	4	2	no	—
1826	Q₈	—	4	2	no	—
1827	Q₈	—	4	4	no	—
1828	Q₈	—	4	4	no	—
1829	Q₈	—	4	2	no	—
1830	Q₈	—	4	2	no	—
1831	Q₈	—	4	4	no	—
1832	Q₈	—	4	2	no	—
1833	Q₈	—	4	4	no	—
1834	Q₈	—	4	2	no	—
1835	Q₈	—	4	2	no	—
1836	Q₈	—	4	4	no	—
1837	D₄	—	2	8	no	—
1838	D₄	—	2	8	no	—
1839	D₄	—	4	1	no	—
1840	D₄	—	4	2	no	—
1841	D₄	—	4	1	no	—
1842	D₄	—	4	4	no	—
1843	D₄	—	4	4	no	—
1844	D₄	—	4	4	no	—
1845	D₄	—	4	4	no	—
1846	D₄	—	4	2	no	—
1847	D₄	—	4	4	no	—
1848	D₄	—	4	2	no	—
1849	D₄	—	4	4	no	—
1850	D₄	—	4	4	no	—
1851	D₄	—	4	4	no	—
1852	D₄	—	4	4	no	—
1853	D₄	—	4	4	no	—
1854	D₄	—	4	4	no	—
1855	D₄	—	4	4	no	—
1856	D₄	—	4	2	no	—
1857	D₄	—	4	2	no	—
1858	D₄	—	4	4	no	—
1859	D₄	—	4	4	no	—
1860	D₄	—	4	2	no	—
1861	C₂×C₄	—	2	2	no	—
1862	C₂×C₄	—	2	2	no	—
1863	C₂×C₄	—	2	4	no	—
1864	C₂×C₄	—	4	2	no	—
1865	C₂×C₄	—	4	2	no	—
1866	C₂×C₄	—	4	1	no	—
1867	C₂×C₄	—	4	2	no	—
1868	C₂×C₄	—	4	2	no	—
1869	C₂×C₄	—	4	2	no	—
1870	C₂×C₄	—	4	2	no	—
1871	C₂×C₄	—	4	2	no	—
1872	C₂×C₄	—	4	1	no	—
1873	C₂×C₄	—	4	4	no	—
1874	C₂×C₄	—	4	4	no	—
1875	C₂×C₄	—	4	4	no	—
1876	C₂×C₄	—	4	4	no	—
1877	C₂×C₄	—	4	1	no	—
1878	C₂×C₄	—	4	2	no	—
1879	C₂×C₄	—	4	2	no	—
1880	C₂×C₄	—	4	4	no	—
1881	C₂×C₄	—	4	2	no	—
1882	C₂×C₄	—	4	4	no	—
1883	C₂×C₄	—	4	1	no	—
1884	C₂×C₄	—	4	4	no	—
1885	C₂×C₄	—	4	4	no	—
1886	C₂×C₄	—	4	4	no	—
1887	C₂×C₄	—	4	4	no	—
1888	C₂×C₄	—	4	4	no	—
1889	C₂×C₄	—	4	4	no	—
1890	C₂×C₄	—	4	4	no	—
1891	C₂×C₄	—	4	2	no	—
1892	C₂×C₄	—	4	4	no	—
1893	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1894	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1895	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1896	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1897	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1898	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1899	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1900	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1901	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1902	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1903	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1904	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1905	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1906	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1907	C₂×C₄	C₂⁵×C₈₉	1	4	yes	—
1908	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1909	C₂×C₄	C₂⁵×C₈₉	1	2	yes	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	2	2	no	—
1913	C₂²	—	2	4	no	—
1914	C₂²	—	2	2	no	—
1915	C₂²	—	2	4	no	—
1916	C₂²	—	2	2	no	—
1917	C₂²	—	2	2	no	—
1918	C₂²	—	2	4	no	—
1919	C₂²	—	2	4	no	—
1920	C₂²	—	2	2	no	—
1921	C₂²	—	2	2	no	—
1922	C₂²	—	2	2	no	—
1923	C₂²	—	2	4	no	—
1924	C₂²	—	2	2	no	—
1925	C₂²	—	2	4	no	—
1926	C₂²	—	2	2	no	—
1927	C₂²	—	8	4	no	—
1928	C₂²	—	8	2	no	—
1929	C₂²	—	16	2	no	—
1930	C₂²	—	16	4	no	—
1931	C₂²	#585×C₈₉	1	2	yes	—
1932	C₂²	C₂⁶×C₈₉	1	1	yes	characteristic
1933	C₄	—	2	2	no	—
1934	C₄	—	2	1	no	—
1935	C₄	—	2	1	no	—
1936	C₄	—	2	4	no	—
1937	C₄	—	2	4	no	—
1938	C₄	—	2	4	no	—
1939	C₄	—	2	2	no	—
1940	C₄	—	2	2	no	—
1941	C₄	—	2	4	no	—
1942	C₄	—	2	2	no	—
1943	C₄	—	2	4	no	—
1944	C₄	—	2	4	no	—
1945	C₄	—	2	2	no	—
1946	C₄	—	2	2	no	—
1947	C₄	—	2	4	no	—
1948	C₄	—	2	4	no	—
1949	C₄	—	2	2	no	—
1950	C₂	—	2	2	no	—
1951	C₂	—	4	2	no	—
1952	C₂	—	4	2	no	—
1953	C₂	—	4	2	no	—
1954	C₂	—	4	4	no	—
1955	C₂	—	4	4	no	—
1956	C₂	C₂×#585×C₈₉	1	1	yes	characteristic
1957	C₂	C₈₉×H(7,𝔽₂)	1	1	yes	characteristic
1958	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×#3566	C₂	semidirect
2. C₈₉×#3566	C₂	semidirect
3. C₈₉×#3565	C₂	semidirect
4. C₈₉×#3564	C₂	semidirect
5. C₈₉×#3561	C₂	semidirect
6. C₈₉×#3560	C₂	semidirect
7. C₈₉×#3552	C₂	semidirect
8. C₈₉×#3547	C₂	semidirect
9. C₈₉×#3545	C₂	semidirect
10. C₈₉×#3545	C₂	semidirect
11. C₈₉×#3538	C₂	semidirect
12. C₈₉×#3536	C₂	semidirect
13. C₈₉×#3535	C₂	semidirect
14. C₈₉×#3535	C₂	semidirect
15. C₈₉×#3534	C₂	semidirect
16. C₈₉×#3534	C₂	semidirect
17. C₈₉×#3521	C₂	semidirect
18. C₈₉×#3514	C₂	semidirect
19. C₈₉×#3505	C₂	semidirect
20. C₈₉×#3493	C₂	semidirect
21. C₈₉×#3491	C₂	semidirect
22. C₈₉×#3461	C₂	semidirect
23. C₂×#542×C₈₉	C₂	semidirect
24. #563×C₈₉	C₂²	semidirect
25. #563×C₈₉	C₂²	semidirect
26. #563×C₈₉	C₂²	semidirect
27. #563×C₈₉	C₂²	semidirect
28. #563×C₈₉	C₂²	semidirect
29. #563×C₈₉	C₂²	semidirect
30. #563×C₈₉	C₂²	semidirect
31. #562×C₈₉	C₂²	semidirect
32. #562×C₈₉	C₂²	semidirect
33. #562×C₈₉	C₂²	semidirect
34. #562×C₈₉	C₂²	semidirect
35. #562×C₈₉	C₂²	semidirect
36. #562×C₈₉	C₂²	semidirect
37. #562×C₈₉	C₂²	semidirect
38. #562×C₈₉	C₂²	semidirect
39. H(3,𝔽₄)×C₈₉	C₂²	semidirect
40. #560×C₈₉	C₂²	semidirect
41. #560×C₈₉	C₂²	semidirect
42. #559×C₈₉	C₂²	semidirect
43. #557×C₈₉	C₂²	semidirect
44. #556×C₈₉	C₂²	semidirect
45. #556×C₈₉	C₂²	semidirect
46. #556×C₈₉	C₂²	semidirect
47. #556×C₈₉	C₂²	semidirect
48. #556×C₈₉	C₂²	semidirect
49. #555×C₈₉	C₂²	semidirect
50. #555×C₈₉	C₂²	semidirect
51. #555×C₈₉	C₂²	semidirect
52. #555×C₈₉	C₂²	semidirect
53. #554×C₈₉	C₂²	semidirect
54. #554×C₈₉	C₂²	semidirect
55. #554×C₈₉	C₂²	semidirect
56. #553×C₈₉	C₂²	semidirect
57. #553×C₈₉	C₂²	semidirect
58. #553×C₈₉	C₂²	semidirect
59. #553×C₈₉	C₂²	semidirect
60. #553×C₈₉	C₂²	semidirect
61. #553×C₈₉	C₂²	semidirect
62. #553×C₈₉	C₂²	semidirect
63. #553×C₈₉	C₂²	semidirect
64. #553×C₈₉	C₂²	semidirect
65. #552×C₈₉	C₂²	semidirect
66. #552×C₈₉	C₂²	semidirect
67. #552×C₈₉	C₂²	semidirect
68. #552×C₈₉	C₂²	semidirect
69. #552×C₈₉	C₂²	semidirect
70. #552×C₈₉	C₂²	semidirect
71. #552×C₈₉	C₂²	semidirect
72. #552×C₈₉	C₂²	semidirect
73. #552×C₈₉	C₂²	semidirect
74. #552×C₈₉	C₂²	semidirect
75. #551×C₈₉	C₂²	semidirect
76. #551×C₈₉	C₂²	semidirect
77. #551×C₈₉	C₂²	semidirect
78. #551×C₈₉	C₂²	semidirect
79. #551×C₈₉	C₂²	semidirect
80. #551×C₈₉	C₂²	semidirect
81. #551×C₈₉	C₂²	semidirect
82. #551×C₈₉	C₂²	semidirect
83. #551×C₈₉	C₂²	semidirect
84. #551×C₈₉	C₂²	semidirect
85. #551×C₈₉	C₂²	semidirect
86. #551×C₈₉	C₂²	semidirect
87. #551×C₈₉	C₂²	semidirect
88. #551×C₈₉	C₂²	semidirect
89. #551×C₈₉	C₂²	semidirect
90. D₄×Q₈×C₈₉	C₂²	semidirect
91. D₄×Q₈×C₈₉	C₂²	semidirect
92. D₄×Q₈×C₈₉	C₂²	semidirect
93. #548×C₈₉	C₂²	semidirect
94. #548×C₈₉	C₂²	semidirect
95. #548×C₈₉	C₂²	semidirect
96. #548×C₈₉	C₂²	semidirect
97. #547×C₈₉	C₂²	semidirect
98. #547×C₈₉	C₂²	semidirect
99. #547×C₈₉	C₂²	semidirect
100. #546×C₈₉	C₂²	semidirect
101. #546×C₈₉	C₂²	semidirect
102. #546×C₈₉	C₂²	semidirect
103. #546×C₈₉	C₂²	semidirect
104. #546×C₈₉	C₂²	semidirect
105. #546×C₈₉	C₂²	semidirect
106. #546×C₈₉	C₂²	semidirect
107. #546×C₈₉	C₂²	semidirect
108. #546×C₈₉	C₂²	semidirect
109. #546×C₈₉	C₂²	semidirect
110. #546×C₈₉	C₂²	semidirect
111. D₄²×C₈₉	C₂²	semidirect
112. #544×C₈₉	C₂²	semidirect
113. #544×C₈₉	C₂²	semidirect
114. #544×C₈₉	C₂²	semidirect
115. #544×C₈₉	C₂²	semidirect
116. #544×C₈₉	C₂²	semidirect
117. #543×C₈₉	C₂²	semidirect
118. #543×C₈₉	C₂²	semidirect
119. #543×C₈₉	C₂²	semidirect
120. #542×C₈₉	C₂²	semidirect
121. #542×C₈₉	C₂²	semidirect
122. #542×C₈₉	C₂²	semidirect
123. #542×C₈₉	C₂²	semidirect
124. #542×C₈₉	C₂²	semidirect
125. #542×C₈₉	C₂²	semidirect
126. #542×C₈₉	C₂²	semidirect
127. #542×C₈₉	C₂²	semidirect
128. #542×C₈₉	C₂²	semidirect
129. #542×C₈₉	C₂²	semidirect
130. #542×C₈₉	C₂²	semidirect
131. #542×C₈₉	C₂²	semidirect
132. #542×C₈₉	C₂²	semidirect
133. #542×C₈₉	C₂²	semidirect
134. #542×C₈₉	C₂²	semidirect
135. #541×C₈₉	C₂²	semidirect
136. #541×C₈₉	C₂²	semidirect
137. #541×C₈₉	C₂²	semidirect
138. #541×C₈₉	C₂²	semidirect
139. #541×C₈₉	C₂²	semidirect
140. #540×C₈₉	C₂²	semidirect
141. #540×C₈₉	C₂²	semidirect
142. #539×C₈₉	C₂²	semidirect
143. #539×C₈₉	C₂²	semidirect
144. #539×C₈₉	C₂²	semidirect
145. #539×C₈₉	C₂²	semidirect
146. #539×C₈₉	C₂²	semidirect
147. #539×C₈₉	C₂²	semidirect
148. #539×C₈₉	C₂²	semidirect
149. #539×C₈₉	C₂²	semidirect
150. #539×C₈₉	C₂²	semidirect
151. #539×C₈₉	C₂²	semidirect
152. #539×C₈₉	C₂²	semidirect
153. #539×C₈₉	C₂²	semidirect
154. #539×C₈₉	C₂²	semidirect
155. #539×C₈₉	C₂²	semidirect
157. #538×C₈₉	C₂²	semidirect
158. #538×C₈₉	C₂²	semidirect
159. #538×C₈₉	C₂²	semidirect
160. #538×C₈₉	C₂²	semidirect
161. #538×C₈₉	C₂²	semidirect
162. #538×C₈₉	C₂²	semidirect
163. #538×C₈₉	C₂²	semidirect
164. #538×C₈₉	C₂²	semidirect
165. #538×C₈₉	C₂²	semidirect
166. #538×C₈₉	C₂²	semidirect
167. #538×C₈₉	C₂²	semidirect
168. #538×C₈₉	C₂²	semidirect
170. #537×C₈₉	C₂²	semidirect
171. #537×C₈₉	C₂²	semidirect
172. #537×C₈₉	C₂²	semidirect
173. #536×C₈₉	C₂²	semidirect
174. #536×C₈₉	C₂²	semidirect
175. #536×C₈₉	C₂²	semidirect
176. #536×C₈₉	C₂²	semidirect
178. #534×C₈₉	C₂²	semidirect
179. #534×C₈₉	C₂²	semidirect
180. #534×C₈₉	C₂²	semidirect
181. #533×C₈₉	C₂²	semidirect
182. #533×C₈₉	C₂²	semidirect
183. #532×C₈₉	C₂²	semidirect
184. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
185. #529×C₈₉	C₂²	semidirect
186. #529×C₈₉	C₂²	semidirect
187. #529×C₈₉	C₂²	semidirect
188. #529×C₈₉	C₂²	semidirect
189. #529×C₈₉	C₂²	semidirect
190. #529×C₈₉	C₂²	semidirect
191. #529×C₈₉	C₂²	semidirect
192. #529×C₈₉	C₂²	semidirect
193. #529×C₈₉	C₂²	semidirect
194. #529×C₈₉	C₂²	semidirect
195. #529×C₈₉	C₂²	semidirect
196. #529×C₈₉	C₂²	semidirect
197. C₂×#126×C₈₉	C₂²	semidirect
198. C₂×#126×C₈₉	C₂²	semidirect
199. C₂×#124×C₈₉	C₂²	semidirect
200. C₂×#124×C₈₉	C₂²	semidirect
201. C₂×#124×C₈₉	C₂²	semidirect
203. #525×C₈₉	C₂²	semidirect
204. #525×C₈₉	C₂²	semidirect
205. C₂×#123×C₈₉	C₂²	semidirect
206. C₂×#123×C₈₉	C₂²	semidirect
207. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
208. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
209. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
211. C₂×#121×C₈₉	C₂²	semidirect
212. #520×C₈₉	C₂²	semidirect
213. #518×C₈₉	C₂²	semidirect
214. #518×C₈₉	C₂²	semidirect
215. C₄×#41×C₈₉	C₂²	semidirect
216. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
217. C₂×C₄×D₄×C₈₉	C₂²	semidirect
218. C₂×#117×C₈₉	C₂²	semidirect
970. #62872	C₈₉	direct (N × H)
980. #3566	C₂×C₈₉	semidirect
981. #3566	C₂×C₈₉	semidirect
982. #3565	C₂×C₈₉	semidirect
983. #3564	C₂×C₈₉	semidirect
984. #3561	C₂×C₈₉	semidirect
985. #3560	C₂×C₈₉	semidirect
986. #3552	C₂×C₈₉	semidirect
987. #3547	C₂×C₈₉	semidirect
988. #3545	C₂×C₈₉	semidirect
989. #3545	C₂×C₈₉	semidirect
990. #3538	C₂×C₈₉	semidirect
991. #3536	C₂×C₈₉	semidirect
992. #3535	C₂×C₈₉	semidirect
993. #3535	C₂×C₈₉	semidirect
994. #3534	C₂×C₈₉	semidirect
995. #3534	C₂×C₈₉	semidirect
996. #3521	C₂×C₈₉	semidirect
997. #3514	C₂×C₈₉	semidirect
998. #3505	C₂×C₈₉	semidirect
999. #3493	C₂×C₈₉	semidirect
1000. #3491	C₂×C₈₉	semidirect
1001. #3461	C₂×C₈₉	semidirect
1002. C₂×#542	C₂×C₈₉	semidirect
1003. C₈₉	#62872	direct (N × H)
1004. #563	C₂²×C₈₉	semidirect
1005. #563	C₂²×C₈₉	semidirect
1006. #563	C₂²×C₈₉	semidirect
1007. #563	C₂²×C₈₉	semidirect
1008. #563	C₂²×C₈₉	semidirect
1009. #563	C₂²×C₈₉	semidirect
1010. #563	C₂²×C₈₉	semidirect
1011. #562	C₂²×C₈₉	semidirect
1012. #562	C₂²×C₈₉	semidirect
1013. #562	C₂²×C₈₉	semidirect
1014. #562	C₂²×C₈₉	semidirect
1015. #562	C₂²×C₈₉	semidirect
1016. #562	C₂²×C₈₉	semidirect
1017. #562	C₂²×C₈₉	semidirect
1018. #562	C₂²×C₈₉	semidirect
1019. H(3,𝔽₄)	C₂²×C₈₉	semidirect
1020. #560	C₂²×C₈₉	semidirect
1021. #560	C₂²×C₈₉	semidirect
1022. #559	C₂²×C₈₉	semidirect
1023. #557	C₂²×C₈₉	semidirect
1024. #556	C₂²×C₈₉	semidirect
1025. #556	C₂²×C₈₉	semidirect
1026. #556	C₂²×C₈₉	semidirect
1027. #556	C₂²×C₈₉	semidirect
1028. #556	C₂²×C₈₉	semidirect
1029. #555	C₂²×C₈₉	semidirect
1030. #555	C₂²×C₈₉	semidirect
1031. #555	C₂²×C₈₉	semidirect
1032. #555	C₂²×C₈₉	semidirect
1033. #554	C₂²×C₈₉	semidirect
1034. #554	C₂²×C₈₉	semidirect
1035. #554	C₂²×C₈₉	semidirect
1036. #553	C₂²×C₈₉	semidirect
1037. #553	C₂²×C₈₉	semidirect
1038. #553	C₂²×C₈₉	semidirect
1039. #553	C₂²×C₈₉	semidirect
1040. #553	C₂²×C₈₉	semidirect
1041. #553	C₂²×C₈₉	semidirect
1042. #553	C₂²×C₈₉	semidirect
1043. #553	C₂²×C₈₉	semidirect
1044. #553	C₂²×C₈₉	semidirect
1045. #552	C₂²×C₈₉	semidirect
1046. #552	C₂²×C₈₉	semidirect
1047. #552	C₂²×C₈₉	semidirect
1048. #552	C₂²×C₈₉	semidirect
1049. #552	C₂²×C₈₉	semidirect
1050. #552	C₂²×C₈₉	semidirect
1051. #552	C₂²×C₈₉	semidirect
1052. #552	C₂²×C₈₉	semidirect
1053. #552	C₂²×C₈₉	semidirect
1054. #552	C₂²×C₈₉	semidirect
1055. #551	C₂²×C₈₉	semidirect
1056. #551	C₂²×C₈₉	semidirect
1057. #551	C₂²×C₈₉	semidirect
1058. #551	C₂²×C₈₉	semidirect
1059. #551	C₂²×C₈₉	semidirect
1060. #551	C₂²×C₈₉	semidirect
1061. #551	C₂²×C₈₉	semidirect
1062. #551	C₂²×C₈₉	semidirect
1063. #551	C₂²×C₈₉	semidirect
1064. #551	C₂²×C₈₉	semidirect
1065. #551	C₂²×C₈₉	semidirect
1066. #551	C₂²×C₈₉	semidirect
1067. #551	C₂²×C₈₉	semidirect
1068. #551	C₂²×C₈₉	semidirect
1069. #551	C₂²×C₈₉	semidirect
1070. D₄×Q₈	C₂²×C₈₉	semidirect
1071. D₄×Q₈	C₂²×C₈₉	semidirect
1072. D₄×Q₈	C₂²×C₈₉	semidirect
1073. #548	C₂²×C₈₉	semidirect
1074. #548	C₂²×C₈₉	semidirect
1075. #548	C₂²×C₈₉	semidirect
1076. #548	C₂²×C₈₉	semidirect
1077. #547	C₂²×C₈₉	semidirect
1078. #547	C₂²×C₈₉	semidirect
1079. #547	C₂²×C₈₉	semidirect
1080. #546	C₂²×C₈₉	semidirect
1081. #546	C₂²×C₈₉	semidirect
1082. #546	C₂²×C₈₉	semidirect
1083. #546	C₂²×C₈₉	semidirect
1084. #546	C₂²×C₈₉	semidirect
1085. #546	C₂²×C₈₉	semidirect
1086. #546	C₂²×C₈₉	semidirect
1087. #546	C₂²×C₈₉	semidirect
1088. #546	C₂²×C₈₉	semidirect
1089. #546	C₂²×C₈₉	semidirect
1090. #546	C₂²×C₈₉	semidirect
1091. D₄²	C₂²×C₈₉	semidirect
1092. #544	C₂²×C₈₉	semidirect
1093. #544	C₂²×C₈₉	semidirect
1094. #544	C₂²×C₈₉	semidirect
1095. #544	C₂²×C₈₉	semidirect
1096. #544	C₂²×C₈₉	semidirect
1097. #543	C₂²×C₈₉	semidirect
1098. #543	C₂²×C₈₉	semidirect
1099. #543	C₂²×C₈₉	semidirect
1100. #542	C₂²×C₈₉	semidirect
1101. #542	C₂²×C₈₉	semidirect
1102. #542	C₂²×C₈₉	semidirect
1103. #542	C₂²×C₈₉	semidirect
1104. #542	C₂²×C₈₉	semidirect
1105. #542	C₂²×C₈₉	semidirect
1106. #542	C₂²×C₈₉	semidirect
1107. #542	C₂²×C₈₉	semidirect
1108. #542	C₂²×C₈₉	semidirect
1109. #542	C₂²×C₈₉	semidirect
1110. #542	C₂²×C₈₉	semidirect
1111. #542	C₂²×C₈₉	semidirect
1112. #542	C₂²×C₈₉	semidirect
1113. #542	C₂²×C₈₉	semidirect
1114. #542	C₂²×C₈₉	semidirect
1115. #541	C₂²×C₈₉	semidirect
1116. #541	C₂²×C₈₉	semidirect
1117. #541	C₂²×C₈₉	semidirect
1118. #541	C₂²×C₈₉	semidirect
1119. #541	C₂²×C₈₉	semidirect
1120. #540	C₂²×C₈₉	semidirect
1121. #540	C₂²×C₈₉	semidirect
1122. #539	C₂²×C₈₉	semidirect
1123. #539	C₂²×C₈₉	semidirect
1124. #539	C₂²×C₈₉	semidirect
1125. #539	C₂²×C₈₉	semidirect
1126. #539	C₂²×C₈₉	semidirect
1127. #539	C₂²×C₈₉	semidirect
1128. #539	C₂²×C₈₉	semidirect
1129. #539	C₂²×C₈₉	semidirect
1130. #539	C₂²×C₈₉	semidirect
1131. #539	C₂²×C₈₉	semidirect
1132. #539	C₂²×C₈₉	semidirect
1133. #539	C₂²×C₈₉	semidirect
1134. #539	C₂²×C₈₉	semidirect
1135. #539	C₂²×C₈₉	semidirect
1137. #538	C₂²×C₈₉	semidirect
1138. #538	C₂²×C₈₉	semidirect
1139. #538	C₂²×C₈₉	semidirect
1140. #538	C₂²×C₈₉	semidirect
1141. #538	C₂²×C₈₉	semidirect
1142. #538	C₂²×C₈₉	semidirect
1143. #538	C₂²×C₈₉	semidirect
1144. #538	C₂²×C₈₉	semidirect
1145. #538	C₂²×C₈₉	semidirect
1146. #538	C₂²×C₈₉	semidirect
1147. #538	C₂²×C₈₉	semidirect
1148. #538	C₂²×C₈₉	semidirect
1150. #537	C₂²×C₈₉	semidirect
1151. #537	C₂²×C₈₉	semidirect
1152. #537	C₂²×C₈₉	semidirect
1153. #536	C₂²×C₈₉	semidirect
1154. #536	C₂²×C₈₉	semidirect
1155. #536	C₂²×C₈₉	semidirect
1156. #536	C₂²×C₈₉	semidirect
1158. #534	C₂²×C₈₉	semidirect
1159. #534	C₂²×C₈₉	semidirect
1160. #534	C₂²×C₈₉	semidirect
1161. #533	C₂²×C₈₉	semidirect
1162. #533	C₂²×C₈₉	semidirect
1163. #532	C₂²×C₈₉	semidirect
1164. C₂×C₄⋊Q₈	C₂²×C₈₉	semidirect
1165. #529	C₂²×C₈₉	semidirect
1166. #529	C₂²×C₈₉	semidirect
1167. #529	C₂²×C₈₉	semidirect
1168. #529	C₂²×C₈₉	semidirect
1169. #529	C₂²×C₈₉	semidirect
1170. #529	C₂²×C₈₉	semidirect
1171. #529	C₂²×C₈₉	semidirect
1172. #529	C₂²×C₈₉	semidirect
1173. #529	C₂²×C₈₉	semidirect
1174. #529	C₂²×C₈₉	semidirect
1175. #529	C₂²×C₈₉	semidirect
1176. #529	C₂²×C₈₉	semidirect
1177. C₂×#126	C₂²×C₈₉	semidirect
1178. C₂×#126	C₂²×C₈₉	semidirect
1179. C₂×#124	C₂²×C₈₉	semidirect
1180. C₂×#124	C₂²×C₈₉	semidirect
1181. C₂×#124	C₂²×C₈₉	semidirect
1183. #525	C₂²×C₈₉	semidirect
1184. #525	C₂²×C₈₉	semidirect
1185. C₂×#123	C₂²×C₈₉	semidirect
1186. C₂×#123	C₂²×C₈₉	semidirect
1187. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1188. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1189. C₂×C₂²⋊Q₈	C₂²×C₈₉	semidirect
1191. C₂×#121	C₂²×C₈₉	semidirect
1192. #520	C₂²×C₈₉	semidirect
1193. #518	C₂²×C₈₉	semidirect
1194. #518	C₂²×C₈₉	semidirect
1195. C₄×#41	C₂²×C₈₉	semidirect
1196. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
1197. C₂×C₄×D₄	C₂²×C₈₉	semidirect
1198. C₂×#117	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×#3566	2
C₈₉×#3565	2
C₈₉×#3564	2
C₈₉×#3561	2
C₈₉×#3560	2
C₈₉×#3552	2
C₈₉×#3547	2
C₈₉×#3545	2
C₈₉×#3538	2
C₈₉×#3536	2
C₈₉×#3535	2
C₈₉×#3534	2
C₈₉×#3521	2
C₈₉×#3514	2
C₈₉×#3505	2
C₈₉×#3493	2
C₈₉×#3491	2
C₈₉×#3461	2
C₂×#542×C₈₉	2
#62872	89

Subgroups — C89×#62872 #36440720

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62872 #36440720