Subgroups — C₈₉×#62614 #36440462

Order 22784.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3558	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#3370	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3327	C₂	1	1	yes	maximal, characteristic, complemented
8	C₈₉×#3326	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈₉×#3325	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈₉×#3324	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#3323	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈₉×#3322	C₂	1	1	yes	maximal, characteristic, complemented
13	C₈₉×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈₉×#3318	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈₉×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₈₉×#3310	C₂	1	1	yes	maximal, characteristic, complemented
17	C₈₉×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈₉×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₈₉×#3244	C₂	1	1	yes	maximal, characteristic, complemented
20	C₈₉×#3243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₉×#3228	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
23	C₈₉×#3224	C₂	1	1	yes	maximal, characteristic, complemented
24	C₈₉×#3211	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈₉×#3175	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈₉×#3173	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈₉×#3171	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈₉×#3140	C₂	1	1	yes	maximal, characteristic, complemented
29	C₈₉×#3136	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈₉×#3136	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2969	C₂	1	1	yes	maximal, characteristic, complemented
32	#563×C₈₉	—	2	1	no	—
33	#562×C₈₉	—	2	1	no	—
34	#562×C₈₉	—	2	1	no	—
35	H(3,𝔽₄)×C₈₉	—	2	1	no	—
36	#559×C₈₉	C₂²	1	1	yes	characteristic
37	#559×C₈₉	C₂²	1	1	yes	characteristic
38	#557×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	#556×C₈₉	—	2	1	no	—
40	#556×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#555×C₈₉	C₂²	1	1	yes	characteristic, complemented
42	#554×C₈₉	C₂²	1	1	yes	characteristic, complemented
43	#553×C₈₉	C₂²	1	1	yes	characteristic, complemented
44	#553×C₈₉	C₂²	1	1	yes	characteristic, complemented
45	#552×C₈₉	—	2	1	no	—
46	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
47	#552×C₈₉	C₂²	1	1	yes	characteristic, complemented
48	#548×C₈₉	C₂²	1	1	yes	characteristic
49	#548×C₈₉	C₂²	1	1	yes	characteristic
50	#546×C₈₉	—	2	1	no	—
51	#546×C₈₉	—	2	1	no	—
52	#546×C₈₉	C₂²	1	1	yes	characteristic
53	#546×C₈₉	C₂²	1	1	yes	characteristic
54	D₄²×C₈₉	C₂²	1	1	yes	characteristic
55	D₄²×C₈₉	C₂²	1	1	yes	characteristic
56	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
57	#544×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#542×C₈₉	—	2	1	no	—
59	#542×C₈₉	—	2	1	no	—
60	#542×C₈₉	C₂²	1	1	yes	characteristic
61	#542×C₈₉	C₂²	1	1	yes	characteristic
62	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
63	#542×C₈₉	C₂²	1	1	yes	characteristic, complemented
64	#541×C₈₉	—	2	1	no	—
65	#539×C₈₉	—	2	1	no	—
66	#538×C₈₉	—	2	1	no	—
67	#538×C₈₉	—	2	1	no	—
68	#538×C₈₉	—	2	1	no	—
69	#535×C₈₉	C₂²	1	1	yes	characteristic
70	#535×C₈₉	C₂²	1	1	yes	characteristic
71	#534×C₈₉	—	2	1	no	—
72	#533×C₈₉	C₂²	1	1	yes	characteristic, complemented
73	#532×C₈₉	C₂²	1	1	yes	characteristic
74	#529×C₈₉	C₂²	1	1	yes	characteristic
75	#529×C₈₉	C₂²	1	1	yes	characteristic, complemented
76	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
77	#501×C₈₉	C₂²	1	1	yes	characteristic, complemented
78	#500×C₈₉	C₂²	1	1	yes	characteristic, complemented
79	#498×C₈₉	C₂²	1	1	yes	characteristic, complemented
80	#496×C₈₉	C₂²	1	1	yes	characteristic, complemented
81	#495×C₈₉	C₂²	1	1	yes	characteristic, complemented
82	#495×C₈₉	C₂²	1	1	yes	characteristic, complemented
83	#490×C₈₉	C₂²	1	1	yes	characteristic
84	#490×C₈₉	C₂²	1	1	yes	characteristic
85	#490×C₈₉	C₂²	1	1	yes	characteristic, complemented
86	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
87	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
88	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
89	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
90	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
91	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
92	#489×C₈₉	C₂²	1	1	yes	characteristic, complemented
93	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
94	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
95	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
96	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
97	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
98	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
99	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
100	#488×C₈₉	C₂²	1	1	yes	characteristic, complemented
101	#486×C₈₉	C₂²	1	1	yes	characteristic
102	#486×C₈₉	C₂²	1	1	yes	characteristic
103	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
104	#486×C₈₉	C₂²	1	1	yes	characteristic, complemented
105	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
106	#485×C₈₉	C₂²	1	1	yes	characteristic, complemented
107	#484×C₈₉	C₂²	1	1	yes	characteristic, complemented
108	#483×C₈₉	C₂²	1	1	yes	characteristic, complemented
109	#482×C₈₉	C₂²	1	1	yes	characteristic
110	#482×C₈₉	C₂²	1	1	yes	characteristic
111	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
112	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
113	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
114	#482×C₈₉	C₂²	1	1	yes	characteristic, complemented
115	#481×C₈₉	C₂²	1	1	yes	characteristic
116	#480×C₈₉	C₂²	1	1	yes	characteristic
117	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
118	#479×C₈₉	C₂²	1	1	yes	characteristic, complemented
119	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
120	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
121	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
122	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
123	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
124	#478×C₈₉	C₂²	1	1	yes	characteristic, complemented
125	#477×C₈₉	C₂²	1	1	yes	characteristic, complemented
126	#476×C₈₉	C₂²	1	1	yes	characteristic, complemented
127	#475×C₈₉	C₂²	1	1	yes	characteristic, complemented
128	#474×C₈₉	C₂²	1	1	yes	characteristic, complemented
129	#470×C₈₉	C₂²	1	1	yes	characteristic, complemented
130	#469×C₈₉	C₂²	1	1	yes	characteristic
131	#469×C₈₉	C₂²	1	1	yes	characteristic, complemented
132	#469×C₈₉	C₂²	1	1	yes	characteristic, complemented
133	#468×C₈₉	C₂²	1	1	yes	characteristic
134	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
135	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
136	#468×C₈₉	C₂²	1	1	yes	characteristic, complemented
137	#467×C₈₉	C₂²	1	1	yes	characteristic, complemented
138	#466×C₈₉	C₂²	1	1	yes	characteristic
139	#465×C₈₉	C₂²	1	1	yes	characteristic
140	#465×C₈₉	C₂²	1	1	yes	characteristic, complemented
141	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
142	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
143	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
144	#464×C₈₉	C₂²	1	1	yes	characteristic, complemented
145	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
146	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
147	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
148	#463×C₈₉	C₂²	1	1	yes	characteristic, complemented
149	#460×C₈₉	C₂²	1	1	yes	characteristic
150	#460×C₈₉	C₂²	1	1	yes	characteristic
151	#459×C₈₉	C₂²	1	1	yes	characteristic
152	#459×C₈₉	C₂²	1	1	yes	characteristic
153	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
154	#452×C₈₉	C₂²	1	1	yes	characteristic, complemented
155	#451×C₈₉	C₂²	1	1	yes	characteristic, complemented
156	#450×C₈₉	C₂²	1	1	yes	characteristic
157	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
158	#450×C₈₉	C₂²	1	1	yes	characteristic, complemented
159	#449×C₈₉	C₂²	1	1	yes	characteristic, complemented
160	#449×C₈₉	C₂²	1	1	yes	characteristic, complemented
161	#448×C₈₉	C₂²	1	1	yes	characteristic, complemented
162	#447×C₈₉	C₂²	1	1	yes	characteristic
163	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
164	#447×C₈₉	C₂²	1	1	yes	characteristic, complemented
165	#446×C₈₉	C₂²	1	1	yes	characteristic, complemented
166	C₈×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
167	#442×C₈₉	C₂²	1	1	yes	characteristic, complemented
168	#441×C₈₉	C₂²	1	1	yes	characteristic, complemented
169	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
170	#440×C₈₉	C₂²	1	1	yes	characteristic, complemented
171	C₄×Q₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₄×SD₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#436×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#436×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#436×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#435×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	C₈×D₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#433×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	#431×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	#419×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	#419×C₈₉	C₂²	1	1	yes	characteristic, complemented
190	#418×C₈₉	C₂²	1	1	yes	characteristic
191	#418×C₈₉	C₂²	1	1	yes	characteristic
192	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
193	#418×C₈₉	C₂²	1	1	yes	characteristic, complemented
194	#417×C₈₉	C₂²	1	1	yes	characteristic, complemented
195	#417×C₈₉	C₂²	1	1	yes	characteristic, complemented
196	#416×C₈₉	C₂²	1	1	yes	characteristic, complemented
197	#416×C₈₉	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
199	C₂×#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
200	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
201	#405×C₈₉	C₂²	1	1	yes	characteristic, complemented
202	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₈₉	—	2	1	no	—
204	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
205	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₈₉	—	2	1	no	—
208	C₂²×D₄×C₈₉	—	2	1	no	—
209	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
212	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
213	C₂×Q₁₆×C₈₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
218	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
219	C₂×SD₁₆×C₈₉	C₂³	1	1	yes	characteristic
220	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
221	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
222	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₈₉	C₂³	1	1	yes	characteristic
224	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
225	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
226	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
227	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₈₉	—	2	1	no	—
231	C₄⋊Q₈×C₈₉	—	2	1	no	—
232	C₄⋊Q₈×C₈₉	—	2	1	no	—
233	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
238	#127×C₈₉	C₂³	1	1	yes	characteristic
239	#127×C₈₉	C₂³	1	1	yes	characteristic
240	#127×C₈₉	C₂³	1	1	yes	characteristic
241	#126×C₈₉	—	2	1	no	—
242	#126×C₈₉	—	2	1	no	—
243	#126×C₈₉	—	2	1	no	—
244	#126×C₈₉	—	2	1	no	—
245	#126×C₈₉	—	2	1	no	—
246	#126×C₈₉	—	2	1	no	—
247	#126×C₈₉	—	2	1	no	—
248	#126×C₈₉	—	2	1	no	—
249	#126×C₈₉	—	2	1	no	—
250	#126×C₈₉	—	2	1	no	—
251	#126×C₈₉	—	2	1	no	—
252	#126×C₈₉	D₄	1	1	yes	characteristic
253	#126×C₈₉	D₄	1	1	yes	characteristic
254	#125×C₈₉	—	2	1	no	—
255	#125×C₈₉	—	2	1	no	—
256	#125×C₈₉	—	2	1	no	—
257	#125×C₈₉	—	2	1	no	—
258	#125×C₈₉	—	2	1	no	—
259	#125×C₈₉	—	2	1	no	—
260	#125×C₈₉	D₄	1	1	yes	characteristic
261	#125×C₈₉	C₂³	1	1	yes	characteristic
262	#125×C₈₉	C₂³	1	1	yes	characteristic
263	#125×C₈₉	C₂³	1	1	yes	characteristic
264	#125×C₈₉	C₂³	1	1	yes	characteristic
265	#125×C₈₉	C₂³	1	1	yes	characteristic
266	#124×C₈₉	—	2	1	no	—
267	#124×C₈₉	—	2	1	no	—
268	#124×C₈₉	—	2	1	no	—
269	#124×C₈₉	—	2	1	no	—
270	#124×C₈₉	—	2	1	no	—
271	#124×C₈₉	—	2	1	no	—
272	#124×C₈₉	—	2	1	no	—
273	#124×C₈₉	—	2	1	no	—
274	#124×C₈₉	—	2	1	no	—
275	#124×C₈₉	—	2	1	no	—
276	#124×C₈₉	—	2	1	no	—
277	#124×C₈₉	—	2	1	no	—
278	#124×C₈₉	—	2	1	no	—
279	#124×C₈₉	—	2	1	no	—
280	#124×C₈₉	D₄	1	1	yes	characteristic
281	#124×C₈₉	C₂³	1	1	yes	characteristic
282	#124×C₈₉	C₂³	1	1	yes	characteristic
283	#124×C₈₉	C₂³	1	1	yes	characteristic
284	#124×C₈₉	C₂³	1	1	yes	characteristic
285	#124×C₈₉	C₂³	1	1	yes	characteristic
286	#124×C₈₉	C₂³	1	1	yes	characteristic
287	#124×C₈₉	C₂³	1	1	yes	characteristic
288	#123×C₈₉	—	2	1	no	—
289	#123×C₈₉	—	2	1	no	—
290	#123×C₈₉	—	2	1	no	—
291	#123×C₈₉	—	2	1	no	—
292	#123×C₈₉	—	2	1	no	—
293	#123×C₈₉	—	2	1	no	—
294	#123×C₈₉	—	2	1	no	—
295	#123×C₈₉	—	2	1	no	—
296	#123×C₈₉	—	2	1	no	—
297	#123×C₈₉	—	2	1	no	—
298	#123×C₈₉	—	2	1	no	—
299	#123×C₈₉	—	2	1	no	—
300	#123×C₈₉	—	2	1	no	—
301	#123×C₈₉	—	2	1	no	—
302	#123×C₈₉	—	2	1	no	—
303	#123×C₈₉	D₄	1	1	yes	characteristic
304	#123×C₈₉	D₄	1	1	yes	characteristic
305	C₂²⋊Q₈×C₈₉	—	2	1	no	—
306	C₂²⋊Q₈×C₈₉	—	2	1	no	—
307	C₂²⋊Q₈×C₈₉	—	2	1	no	—
308	C₂²⋊Q₈×C₈₉	—	2	1	no	—
309	C₂²⋊Q₈×C₈₉	—	2	1	no	—
310	C₂²⋊Q₈×C₈₉	—	2	1	no	—
311	C₂²⋊Q₈×C₈₉	—	2	1	no	—
312	C₂²⋊Q₈×C₈₉	—	2	1	no	—
313	C₂²⋊Q₈×C₈₉	—	2	1	no	—
314	C₂²⋊Q₈×C₈₉	—	2	1	no	—
315	C₂²⋊Q₈×C₈₉	—	2	1	no	—
316	C₂²⋊Q₈×C₈₉	—	2	1	no	—
317	C₂²⋊Q₈×C₈₉	—	2	1	no	—
318	C₂²⋊Q₈×C₈₉	—	2	1	no	—
319	C₂²⋊Q₈×C₈₉	—	2	1	no	—
320	C₂²⋊Q₈×C₈₉	D₄	1	1	yes	characteristic
321	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
322	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
323	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
324	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
325	C₂²⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
326	#121×C₈₉	—	2	1	no	—
327	#121×C₈₉	—	2	1	no	—
328	#121×C₈₉	—	2	1	no	—
329	#121×C₈₉	—	2	1	no	—
330	#121×C₈₉	—	2	1	no	—
331	#121×C₈₉	—	2	1	no	—
332	#121×C₈₉	—	2	1	no	—
333	#121×C₈₉	—	2	1	no	—
334	#121×C₈₉	—	2	1	no	—
335	#121×C₈₉	—	2	1	no	—
336	#121×C₈₉	—	2	1	no	—
337	#121×C₈₉	—	2	1	no	—
338	#121×C₈₉	—	2	1	no	—
339	#121×C₈₉	—	2	1	no	—
340	#121×C₈₉	D₄	1	1	yes	characteristic
341	#121×C₈₉	C₂³	1	1	yes	characteristic
342	#121×C₈₉	C₂³	1	1	yes	characteristic
343	#121×C₈₉	C₂³	1	1	yes	characteristic
344	#121×C₈₉	C₂³	1	1	yes	characteristic
345	#121×C₈₉	C₂³	1	1	yes	characteristic
346	#121×C₈₉	C₂³	1	1	yes	characteristic
347	#121×C₈₉	C₂³	1	1	yes	characteristic
348	#120×C₈₉	—	2	1	no	—
349	#120×C₈₉	—	2	1	no	—
350	#120×C₈₉	—	2	1	no	—
351	#120×C₈₉	—	2	1	no	—
352	#120×C₈₉	—	2	1	no	—
353	#120×C₈₉	—	2	1	no	—
354	#120×C₈₉	—	2	1	no	—
355	#120×C₈₉	—	2	1	no	—
356	#120×C₈₉	—	2	1	no	—
357	#120×C₈₉	—	2	1	no	—
358	C₄×Q₈×C₈₉	—	2	1	no	—
359	C₄×Q₈×C₈₉	—	2	1	no	—
360	C₄×Q₈×C₈₉	—	2	1	no	—
361	C₄×Q₈×C₈₉	—	2	1	no	—
362	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
364	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₈₉	—	2	1	no	—
369	C₄×D₄×C₈₉	—	2	1	no	—
370	C₄×D₄×C₈₉	—	2	1	no	—
371	C₄×D₄×C₈₉	—	2	1	no	—
372	C₄×D₄×C₈₉	—	2	1	no	—
373	C₄×D₄×C₈₉	—	2	1	no	—
374	C₄×D₄×C₈₉	—	2	1	no	—
375	C₄×D₄×C₈₉	—	2	1	no	—
376	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₈₉	C₂³	1	1	yes	characteristic
386	#117×C₈₉	—	2	1	no	—
387	#117×C₈₉	—	2	1	no	—
388	#117×C₈₉	—	2	1	no	—
389	#117×C₈₉	—	2	1	no	—
390	#117×C₈₉	C₂³	1	1	yes	characteristic
391	#117×C₈₉	C₂³	1	1	yes	characteristic
392	#117×C₈₉	C₂³	1	1	yes	characteristic
393	#117×C₈₉	C₂³	1	1	yes	characteristic
394	#117×C₈₉	C₂³	1	1	yes	characteristic
395	#117×C₈₉	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
397	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
400	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
401	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
402	C₂×C₂²⋊C₄×C₈₉	—	2	1	no	—
403	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
404	#107×C₈₉	C₂³	1	1	yes	characteristic
405	#107×C₈₉	C₂³	1	1	yes	characteristic
406	#107×C₈₉	C₂³	1	1	yes	characteristic
407	#107×C₈₉	C₂³	1	1	yes	characteristic
408	#107×C₈₉	C₂³	1	1	yes	characteristic
409	#107×C₈₉	C₂³	1	1	yes	characteristic
410	#106×C₈₉	C₂³	1	1	yes	characteristic
411	#106×C₈₉	C₂³	1	1	yes	characteristic
412	#106×C₈₉	C₂³	1	1	yes	characteristic
413	#106×C₈₉	C₂³	1	1	yes	characteristic
414	#106×C₈₉	C₂³	1	1	yes	characteristic
415	#106×C₈₉	C₂³	1	1	yes	characteristic
416	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
417	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
418	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
419	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
420	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
421	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
422	#103×C₈₉	C₂³	1	1	yes	characteristic
423	#103×C₈₉	C₂³	1	1	yes	characteristic
424	#103×C₈₉	C₂³	1	1	yes	characteristic
425	#103×C₈₉	C₂³	1	1	yes	characteristic
426	#103×C₈₉	C₂³	1	1	yes	characteristic
427	#103×C₈₉	C₂³	1	1	yes	characteristic
428	#103×C₈₉	C₂³	1	1	yes	characteristic
429	#103×C₈₉	C₂³	1	1	yes	characteristic
430	#103×C₈₉	C₂³	1	1	yes	characteristic
431	#103×C₈₉	C₂³	1	1	yes	characteristic
432	#103×C₈₉	C₂³	1	1	yes	characteristic
433	#103×C₈₉	C₂³	1	1	yes	characteristic
434	#103×C₈₉	C₂³	1	1	yes	characteristic
435	#103×C₈₉	C₂³	1	1	yes	characteristic
436	#102×C₈₉	C₂³	1	1	yes	characteristic
437	#102×C₈₉	C₂³	1	1	yes	characteristic
438	#102×C₈₉	C₂³	1	1	yes	characteristic
439	#102×C₈₉	C₂³	1	1	yes	characteristic
440	#102×C₈₉	C₂³	1	1	yes	characteristic
441	#102×C₈₉	C₂³	1	1	yes	characteristic
442	#102×C₈₉	C₂³	1	1	yes	characteristic
443	#102×C₈₉	C₂³	1	1	yes	characteristic
444	#102×C₈₉	C₂³	1	1	yes	characteristic
445	#102×C₈₉	C₂³	1	1	yes	characteristic
446	#102×C₈₉	C₂³	1	1	yes	characteristic
447	#102×C₈₉	C₂³	1	1	yes	characteristic
448	#102×C₈₉	C₂³	1	1	yes	characteristic
449	#102×C₈₉	C₂³	1	1	yes	characteristic
450	#102×C₈₉	C₂³	1	1	yes	characteristic
451	#102×C₈₉	C₂³	1	1	yes	characteristic
452	#102×C₈₉	C₂³	1	1	yes	characteristic
453	#102×C₈₉	C₂³	1	1	yes	characteristic
454	#102×C₈₉	C₂³	1	1	yes	characteristic
455	#102×C₈₉	C₂³	1	1	yes	characteristic
456	#102×C₈₉	C₂³	1	1	yes	characteristic
457	#102×C₈₉	C₂³	1	1	yes	characteristic
458	#102×C₈₉	C₂³	1	1	yes	characteristic
459	#102×C₈₉	C₂³	1	1	yes	characteristic
460	#102×C₈₉	C₂³	1	1	yes	characteristic
461	#102×C₈₉	C₂³	1	1	yes	characteristic
462	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
463	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
464	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
465	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
468	#97×C₈₉	C₂³	1	1	yes	characteristic
469	#97×C₈₉	C₂³	1	1	yes	characteristic
470	#97×C₈₉	C₂³	1	1	yes	characteristic
471	#97×C₈₉	C₂³	1	1	yes	characteristic
472	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
473	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
478	C₂⁴×C₈₉	—	2	1	no	—
479	C₂⁴×C₈₉	—	2	1	no	—
480	C₂⁴×C₈₉	—	2	1	no	—
481	#41×C₈₉	—	4	1	no	—
482	#41×C₈₉	—	4	1	no	—
483	#41×C₈₉	—	4	1	no	—
484	#41×C₈₉	—	4	1	no	—
485	#41×C₈₉	—	8	2	no	—
486	C₂×Q₈×C₈₉	—	2	1	no	—
487	C₂×Q₈×C₈₉	—	2	1	no	—
488	C₂×Q₈×C₈₉	—	2	1	no	—
489	C₂×Q₈×C₈₉	—	2	1	no	—
490	C₂×Q₈×C₈₉	—	2	1	no	—
491	C₂×Q₈×C₈₉	—	2	1	no	—
492	C₂×Q₈×C₈₉	—	4	1	no	—
493	C₂×Q₈×C₈₉	—	4	1	no	—
494	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₈₉	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₈₉	—	2	1	no	—
499	C₂×D₄×C₈₉	—	2	1	no	—
500	C₂×D₄×C₈₉	—	2	1	no	—
501	C₂×D₄×C₈₉	—	2	1	no	—
502	C₂×D₄×C₈₉	—	2	1	no	—
503	C₂×D₄×C₈₉	—	2	1	no	—
504	C₂×D₄×C₈₉	—	2	1	no	—
505	C₂×D₄×C₈₉	—	2	1	no	—
506	C₂×D₄×C₈₉	—	2	1	no	—
507	C₂×D₄×C₈₉	—	2	1	no	—
508	C₂×D₄×C₈₉	—	2	1	no	—
509	C₂×D₄×C₈₉	—	2	1	no	—
510	C₂×D₄×C₈₉	—	2	1	no	—
511	C₂×D₄×C₈₉	—	2	1	no	—
512	C₂×D₄×C₈₉	—	2	1	no	—
513	C₂×D₄×C₈₉	—	2	1	no	—
514	C₂×D₄×C₈₉	—	2	1	no	—
515	C₂×D₄×C₈₉	—	2	1	no	—
516	C₂×D₄×C₈₉	—	4	1	no	—
517	C₂×D₄×C₈₉	—	4	1	no	—
518	C₂×D₄×C₈₉	—	4	1	no	—
519	C₂×D₄×C₈₉	—	4	1	no	—
520	C₂×D₄×C₈₉	—	4	1	no	—
521	C₂×D₄×C₈₉	—	4	1	no	—
522	C₂×D₄×C₈₉	—	8	2	no	—
523	C₂×D₄×C₈₉	—	8	2	no	—
524	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₈₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₈₉	—	2	1	no	—
533	C₂²×C₄×C₈₉	—	2	1	no	—
534	C₂²×C₄×C₈₉	—	2	1	no	—
535	C₂²×C₄×C₈₉	—	2	1	no	—
536	C₂²×C₄×C₈₉	—	2	1	no	—
537	C₂²×C₄×C₈₉	—	2	1	no	—
538	C₂²×C₄×C₈₉	—	2	1	no	—
539	C₂²×C₄×C₈₉	—	2	1	no	—
540	C₂²×C₄×C₈₉	—	2	1	no	—
541	C₂²×C₄×C₈₉	—	2	1	no	—
542	C₂²×C₄×C₈₉	—	2	1	no	—
543	C₂²×C₄×C₈₉	—	2	1	no	—
544	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	Q₁₆×C₈₉	—	4	1	no	—
550	Q₁₆×C₈₉	—	4	1	no	—
551	SD₁₆×C₈₉	—	4	1	no	—
552	SD₁₆×C₈₉	—	4	1	no	—
553	SD₁₆×C₈₉	—	4	1	no	—
554	SD₁₆×C₈₉	—	4	1	no	—
555	SD₁₆×C₈₉	—	4	1	no	—
556	SD₁₆×C₈₉	—	4	1	no	—
557	D₈×C₈₉	—	4	1	no	—
558	D₈×C₈₉	—	4	1	no	—
559	D₈×C₈₉	—	4	1	no	—
560	D₈×C₈₉	—	4	1	no	—
561	M₁₆×C₈₉	—	4	1	no	—
562	M₁₆×C₈₉	—	4	1	no	—
563	M₁₆×C₈₉	—	4	1	no	—
564	M₁₆×C₈₉	—	4	1	no	—
565	C₂×C₈×C₈₉	—	4	1	no	—
566	C₂×C₈×C₈₉	—	4	1	no	—
567	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₈₉	C₂⁴	1	1	yes	characteristic
575	C₄⋊C₄×C₈₉	—	2	1	no	—
576	C₄⋊C₄×C₈₉	—	2	1	no	—
577	C₄⋊C₄×C₈₉	—	2	1	no	—
578	C₄⋊C₄×C₈₉	—	2	1	no	—
579	C₄⋊C₄×C₈₉	—	2	1	no	—
580	C₄⋊C₄×C₈₉	—	2	1	no	—
581	C₄⋊C₄×C₈₉	—	2	1	no	—
582	C₄⋊C₄×C₈₉	—	2	1	no	—
583	C₄⋊C₄×C₈₉	—	2	1	no	—
584	C₄⋊C₄×C₈₉	—	2	1	no	—
585	C₄⋊C₄×C₈₉	—	2	1	no	—
586	C₄⋊C₄×C₈₉	—	2	1	no	—
587	C₄⋊C₄×C₈₉	—	2	1	no	—
588	C₄⋊C₄×C₈₉	—	2	1	no	—
589	C₄⋊C₄×C₈₉	—	2	1	no	—
590	C₄⋊C₄×C₈₉	—	2	1	no	—
591	C₄⋊C₄×C₈₉	—	2	1	no	—
592	C₄⋊C₄×C₈₉	—	2	1	no	—
593	C₄⋊C₄×C₈₉	—	2	1	no	—
594	C₄⋊C₄×C₈₉	—	2	1	no	—
595	C₄⋊C₄×C₈₉	—	2	1	no	—
596	C₄⋊C₄×C₈₉	—	2	1	no	—
597	C₄⋊C₄×C₈₉	—	2	1	no	—
598	C₄⋊C₄×C₈₉	—	2	1	no	—
599	C₄⋊C₄×C₈₉	—	2	1	no	—
600	C₄⋊C₄×C₈₉	—	2	1	no	—
601	C₄⋊C₄×C₈₉	—	2	1	no	—
602	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
610	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
611	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
612	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₈₉	C₂⁴	1	1	yes	characteristic
620	C₂²⋊C₄×C₈₉	—	2	1	no	—
621	C₂²⋊C₄×C₈₉	—	2	1	no	—
622	C₂²⋊C₄×C₈₉	—	2	1	no	—
623	C₂²⋊C₄×C₈₉	—	2	1	no	—
624	C₂²⋊C₄×C₈₉	—	2	1	no	—
625	C₂²⋊C₄×C₈₉	—	2	1	no	—
626	C₂²⋊C₄×C₈₉	—	2	1	no	—
627	C₂²⋊C₄×C₈₉	—	2	1	no	—
628	C₂²⋊C₄×C₈₉	—	2	1	no	—
629	C₂²⋊C₄×C₈₉	—	2	1	no	—
630	C₂²⋊C₄×C₈₉	—	2	1	no	—
631	C₂²⋊C₄×C₈₉	—	2	1	no	—
632	C₂²⋊C₄×C₈₉	—	2	1	no	—
633	C₂²⋊C₄×C₈₉	—	2	1	no	—
634	C₂²⋊C₄×C₈₉	—	2	1	no	—
635	C₂²⋊C₄×C₈₉	—	2	1	no	—
636	C₂²⋊C₄×C₈₉	—	2	1	no	—
637	C₂²⋊C₄×C₈₉	—	2	1	no	—
638	C₂²⋊C₄×C₈₉	—	2	1	no	—
639	C₂²⋊C₄×C₈₉	—	2	1	no	—
640	C₂²⋊C₄×C₈₉	—	2	1	no	—
641	C₂²⋊C₄×C₈₉	—	2	1	no	—
642	C₂²⋊C₄×C₈₉	—	2	1	no	—
643	C₂²⋊C₄×C₈₉	—	2	1	no	—
644	C₂²⋊C₄×C₈₉	—	2	1	no	—
645	C₂²⋊C₄×C₈₉	—	2	1	no	—
646	C₂²⋊C₄×C₈₉	—	2	1	no	—
647	C₂²⋊C₄×C₈₉	—	2	1	no	—
648	C₂²⋊C₄×C₈₉	—	2	1	no	—
649	C₂²⋊C₄×C₈₉	—	2	1	no	—
650	C₂²⋊C₄×C₈₉	—	2	1	no	—
651	C₂²⋊C₄×C₈₉	—	2	1	no	—
652	C₂²⋊C₄×C₈₉	—	2	1	no	—
653	C₂²⋊C₄×C₈₉	—	2	1	no	—
654	C₂²⋊C₄×C₈₉	—	2	1	no	—
655	C₂²⋊C₄×C₈₉	—	2	1	no	—
656	C₂²⋊C₄×C₈₉	—	2	1	no	—
657	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₈₉	—	2	1	no	—
668	C₄²×C₈₉	—	2	1	no	—
669	C₄²×C₈₉	—	2	1	no	—
670	C₄²×C₈₉	—	2	1	no	—
671	C₄²×C₈₉	—	2	1	no	—
672	C₄²×C₈₉	—	2	1	no	—
673	C₄²×C₈₉	—	2	1	no	—
674	C₄²×C₈₉	—	2	1	no	—
675	C₄²×C₈₉	—	2	1	no	—
676	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
679	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
680	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
681	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
682	C₂³×C₈₉	—	2	1	no	—
683	C₂³×C₈₉	—	2	1	no	—
684	C₂³×C₈₉	—	2	1	no	—
685	C₂³×C₈₉	—	2	1	no	—
686	C₂³×C₈₉	—	2	1	no	—
687	C₂³×C₈₉	—	4	2	no	—
688	C₂³×C₈₉	—	8	1	no	—
689	C₂³×C₈₉	—	8	1	no	—
690	C₂³×C₈₉	—	8	1	no	—
691	C₂³×C₈₉	—	8	1	no	—
692	C₂³×C₈₉	—	8	1	no	—
693	C₂³×C₈₉	—	8	1	no	—
694	C₂³×C₈₉	—	8	1	no	—
695	C₂³×C₈₉	—	8	1	no	—
696	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
697	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
698	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
699	Q₈×C₈₉	—	2	1	no	—
700	Q₈×C₈₉	—	2	1	no	—
701	Q₈×C₈₉	—	2	1	no	—
702	Q₈×C₈₉	—	2	1	no	—
703	Q₈×C₈₉	—	2	1	no	—
704	Q₈×C₈₉	—	2	1	no	—
705	Q₈×C₈₉	—	4	1	no	—
706	Q₈×C₈₉	—	8	1	no	—
707	Q₈×C₈₉	—	8	1	no	—
708	Q₈×C₈₉	—	8	1	no	—
709	Q₈×C₈₉	—	8	1	no	—
710	Q₈×C₈₉	—	8	1	no	—
711	Q₈×C₈₉	—	8	1	no	—
712	D₄×C₈₉	—	2	1	no	—
713	D₄×C₈₉	—	2	1	no	—
714	D₄×C₈₉	—	2	1	no	—
715	D₄×C₈₉	—	2	1	no	—
716	D₄×C₈₉	—	2	1	no	—
717	D₄×C₈₉	—	2	1	no	—
718	D₄×C₈₉	—	2	1	no	—
719	D₄×C₈₉	—	2	1	no	—
720	D₄×C₈₉	—	2	1	no	—
721	D₄×C₈₉	—	2	1	no	—
722	D₄×C₈₉	—	4	1	no	—
723	D₄×C₈₉	—	4	1	no	—
724	D₄×C₈₉	—	4	1	no	—
725	D₄×C₈₉	—	4	2	no	—
726	D₄×C₈₉	—	4	2	no	—
727	D₄×C₈₉	—	8	1	no	—
728	D₄×C₈₉	—	8	1	no	—
729	D₄×C₈₉	—	8	1	no	—
730	D₄×C₈₉	—	8	1	no	—
731	D₄×C₈₉	—	8	1	no	—
732	D₄×C₈₉	—	8	1	no	—
733	D₄×C₈₉	—	8	1	no	—
734	D₄×C₈₉	—	8	1	no	—
735	D₄×C₈₉	—	8	1	no	—
736	D₄×C₈₉	—	8	1	no	—
737	D₄×C₈₉	—	8	1	no	—
738	D₄×C₈₉	—	8	1	no	—
739	D₄×C₈₉	—	8	1	no	—
740	D₄×C₈₉	—	8	1	no	—
741	D₄×C₈₉	—	8	1	no	—
742	D₄×C₈₉	—	8	1	no	—
743	C₂×C₄×C₈₉	—	2	1	no	—
744	C₂×C₄×C₈₉	—	2	1	no	—
745	C₂×C₄×C₈₉	—	2	1	no	—
746	C₂×C₄×C₈₉	—	2	1	no	—
747	C₂×C₄×C₈₉	—	2	1	no	—
748	C₂×C₄×C₈₉	—	2	1	no	—
749	C₂×C₄×C₈₉	—	2	1	no	—
750	C₂×C₄×C₈₉	—	2	1	no	—
751	C₂×C₄×C₈₉	—	2	1	no	—
752	C₂×C₄×C₈₉	—	2	1	no	—
753	C₂×C₄×C₈₉	—	2	1	no	—
754	C₂×C₄×C₈₉	—	2	1	no	—
755	C₂×C₄×C₈₉	—	2	1	no	—
756	C₂×C₄×C₈₉	—	2	1	no	—
757	C₂×C₄×C₈₉	—	2	1	no	—
758	C₂×C₄×C₈₉	—	2	1	no	—
759	C₂×C₄×C₈₉	—	2	1	no	—
760	C₂×C₄×C₈₉	—	4	1	no	—
761	C₂×C₄×C₈₉	—	4	1	no	—
762	C₂×C₄×C₈₉	—	8	1	no	—
763	C₂×C₄×C₈₉	—	8	1	no	—
764	C₂×C₄×C₈₉	—	8	1	no	—
765	C₂×C₄×C₈₉	—	8	1	no	—
766	C₂×C₄×C₈₉	—	8	1	no	—
767	C₂×C₄×C₈₉	—	8	1	no	—
768	C₂×C₄×C₈₉	—	8	1	no	—
769	C₂×C₄×C₈₉	—	8	1	no	—
770	C₂×C₄×C₈₉	—	8	1	no	—
771	C₂×C₄×C₈₉	—	8	1	no	—
772	C₂×C₄×C₈₉	—	8	1	no	—
773	C₂×C₄×C₈₉	—	8	1	no	—
774	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
786	C₈×C₈₉	—	2	1	no	—
787	C₈×C₈₉	—	2	1	no	—
788	C₈×C₈₉	—	2	1	no	—
789	C₈×C₈₉	—	2	1	no	—
790	C₈×C₈₉	—	2	1	no	—
791	C₈×C₈₉	—	2	1	no	—
792	C₈×C₈₉	—	2	1	no	—
793	C₈×C₈₉	—	2	1	no	—
794	C₂²×C₈₉	—	2	1	no	—
795	C₂²×C₈₉	—	2	1	no	—
796	C₂²×C₈₉	—	2	1	no	—
797	C₂²×C₈₉	—	2	1	no	—
798	C₂²×C₈₉	—	2	1	no	—
799	C₂²×C₈₉	—	2	1	no	—
800	C₂²×C₈₉	—	2	1	no	—
801	C₂²×C₈₉	—	2	1	no	—
802	C₂²×C₈₉	—	2	1	no	—
803	C₂²×C₈₉	—	4	1	no	—
804	C₂²×C₈₉	—	4	1	no	—
805	C₂²×C₈₉	—	4	1	no	—
806	C₂²×C₈₉	—	4	1	no	—
807	C₂²×C₈₉	—	4	1	no	—
808	C₂²×C₈₉	—	4	1	no	—
809	C₂²×C₈₉	—	4	1	no	—
810	C₂²×C₈₉	—	4	1	no	—
811	C₂²×C₈₉	—	4	1	no	—
812	C₂²×C₈₉	—	4	1	no	—
813	C₂²×C₈₉	—	4	1	no	—
814	C₂²×C₈₉	—	4	1	no	—
815	C₂²×C₈₉	—	4	1	no	—
816	C₂²×C₈₉	—	4	1	no	—
817	C₂²×C₈₉	—	4	1	no	—
818	C₂²×C₈₉	—	16	2	no	—
819	C₂²×C₈₉	—	16	2	no	—
820	C₂²×C₈₉	—	16	2	no	—
821	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
822	C₄×C₈₉	—	2	1	no	—
823	C₄×C₈₉	—	2	1	no	—
824	C₄×C₈₉	—	2	1	no	—
825	C₄×C₈₉	—	2	1	no	—
826	C₄×C₈₉	—	2	1	no	—
827	C₄×C₈₉	—	2	1	no	—
828	C₄×C₈₉	—	2	1	no	—
829	C₄×C₈₉	—	2	1	no	—
830	C₄×C₈₉	—	2	1	no	—
831	C₄×C₈₉	—	2	1	no	—
832	C₄×C₈₉	—	2	1	no	—
833	C₄×C₈₉	—	4	1	no	—
834	C₄×C₈₉	—	4	1	no	—
835	C₄×C₈₉	—	4	1	no	—
836	C₄×C₈₉	—	4	1	no	—
837	C₄×C₈₉	—	4	1	no	—
838	C₄×C₈₉	—	4	1	no	—
839	C₄×C₈₉	—	4	1	no	—
840	C₄×C₈₉	—	4	1	no	—
841	C₄×C₈₉	—	4	1	no	—
842	C₄×C₈₉	—	4	1	no	—
843	C₄×C₈₉	—	4	1	no	—
844	C₄×C₈₉	#585	1	1	yes	characteristic
845	C₄×C₈₉	#585	1	1	yes	characteristic
846	#62614	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
847	C₂×C₈₉	—	4	1	no	—
848	C₂×C₈₉	—	4	1	no	—
849	C₂×C₈₉	—	4	1	no	—
850	C₂×C₈₉	—	8	1	no	—
851	C₂×C₈₉	—	8	1	no	—
852	C₂×C₈₉	—	8	1	no	—
853	C₂×C₈₉	—	8	1	no	—
854	C₂×C₈₉	—	8	1	no	—
855	C₂×C₈₉	#3500	1	1	yes	characteristic
856	C₂×C₈₉	#3584	1	1	yes	characteristic
857	C₂×C₈₉	#3585	1	1	yes	characteristic
858	#3565	C₂×C₈₉	1	1	yes	characteristic, complemented
859	#3558	C₂×C₈₉	1	1	yes	characteristic, complemented
860	#3371	C₂×C₈₉	1	1	yes	characteristic, complemented
861	#3370	C₂×C₈₉	1	1	yes	characteristic, complemented
862	#3365	C₂×C₈₉	1	1	yes	characteristic, complemented
863	#3361	C₂×C₈₉	1	1	yes	characteristic, complemented
864	#3327	C₂×C₈₉	1	1	yes	characteristic, complemented
865	#3326	C₂×C₈₉	1	1	yes	characteristic, complemented
866	#3325	C₂×C₈₉	1	1	yes	characteristic, complemented
867	#3324	C₂×C₈₉	1	1	yes	characteristic, complemented
868	#3323	C₂×C₈₉	1	1	yes	characteristic, complemented
869	#3322	C₂×C₈₉	1	1	yes	characteristic, complemented
870	#3321	C₂×C₈₉	1	1	yes	characteristic, complemented
871	#3318	C₂×C₈₉	1	1	yes	characteristic, complemented
872	#3313	C₂×C₈₉	1	1	yes	characteristic, complemented
873	#3310	C₂×C₈₉	1	1	yes	characteristic, complemented
874	#3297	C₂×C₈₉	1	1	yes	characteristic, complemented
875	#3296	C₂×C₈₉	1	1	yes	characteristic, complemented
876	#3244	C₂×C₈₉	1	1	yes	characteristic, complemented
877	#3243	C₂×C₈₉	1	1	yes	characteristic, complemented
878	#3228	C₂×C₈₉	1	1	yes	characteristic, complemented
879	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
880	#3224	C₂×C₈₉	1	1	yes	characteristic, complemented
881	#3211	C₂×C₈₉	1	1	yes	characteristic, complemented
882	#3175	C₂×C₈₉	1	1	yes	characteristic, complemented
883	#3173	C₂×C₈₉	1	1	yes	characteristic, complemented
884	#3171	C₂×C₈₉	1	1	yes	characteristic, complemented
885	#3140	C₂×C₈₉	1	1	yes	characteristic, complemented
886	#3136	C₂×C₈₉	1	1	yes	characteristic, complemented
887	#3136	C₂×C₈₉	1	1	yes	characteristic, complemented
888	#2969	C₂×C₈₉	1	1	yes	characteristic, complemented
889	C₈₉	#62614	1	1	yes	characteristic, direct product factor, Sylow
890	#563	—	2	1	no	—
891	#562	—	2	1	no	—
892	#562	—	2	1	no	—
893	H(3,𝔽₄)	—	2	1	no	—
894	#559	C₂²×C₈₉	1	1	yes	characteristic
895	#559	C₂²×C₈₉	1	1	yes	characteristic
896	#557	C₂²×C₈₉	1	1	yes	characteristic, complemented
897	#556	—	2	1	no	—
898	#556	C₂²×C₈₉	1	1	yes	characteristic, complemented
899	#555	C₂²×C₈₉	1	1	yes	characteristic, complemented
900	#554	C₂²×C₈₉	1	1	yes	characteristic, complemented
901	#553	C₂²×C₈₉	1	1	yes	characteristic, complemented
902	#553	C₂²×C₈₉	1	1	yes	characteristic, complemented
903	#552	—	2	1	no	—
904	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
905	#552	C₂²×C₈₉	1	1	yes	characteristic, complemented
906	#548	C₂²×C₈₉	1	1	yes	characteristic
907	#548	C₂²×C₈₉	1	1	yes	characteristic
908	#546	—	2	1	no	—
909	#546	—	2	1	no	—
910	#546	C₂²×C₈₉	1	1	yes	characteristic
911	#546	C₂²×C₈₉	1	1	yes	characteristic
912	D₄²	C₂²×C₈₉	1	1	yes	characteristic
913	D₄²	C₂²×C₈₉	1	1	yes	characteristic
914	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
915	#544	C₂²×C₈₉	1	1	yes	characteristic, complemented
916	#542	—	2	1	no	—
917	#542	—	2	1	no	—
918	#542	C₂²×C₈₉	1	1	yes	characteristic
919	#542	C₂²×C₈₉	1	1	yes	characteristic
920	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
921	#542	C₂²×C₈₉	1	1	yes	characteristic, complemented
922	#541	—	2	1	no	—
923	#539	—	2	1	no	—
924	#538	—	2	1	no	—
925	#538	—	2	1	no	—
926	#538	—	2	1	no	—
927	#535	C₂²×C₈₉	1	1	yes	characteristic
928	#535	C₂²×C₈₉	1	1	yes	characteristic
929	#534	—	2	1	no	—
930	#533	C₂²×C₈₉	1	1	yes	characteristic, complemented
931	#532	C₂²×C₈₉	1	1	yes	characteristic
932	#529	C₂²×C₈₉	1	1	yes	characteristic
933	#529	C₂²×C₈₉	1	1	yes	characteristic, complemented
934	C₂×#124	C₂²×C₈₉	1	1	yes	characteristic
935	#501	C₂²×C₈₉	1	1	yes	characteristic, complemented
936	#500	C₂²×C₈₉	1	1	yes	characteristic, complemented
937	#498	C₂²×C₈₉	1	1	yes	characteristic, complemented
938	#496	C₂²×C₈₉	1	1	yes	characteristic, complemented
939	#495	C₂²×C₈₉	1	1	yes	characteristic, complemented
940	#495	C₂²×C₈₉	1	1	yes	characteristic, complemented
941	#490	C₂²×C₈₉	1	1	yes	characteristic
942	#490	C₂²×C₈₉	1	1	yes	characteristic
943	#490	C₂²×C₈₉	1	1	yes	characteristic, complemented
944	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
945	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
946	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
947	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
948	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
949	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
950	#489	C₂²×C₈₉	1	1	yes	characteristic, complemented
951	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
952	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
953	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
954	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
955	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
956	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
957	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
958	#488	C₂²×C₈₉	1	1	yes	characteristic, complemented
959	#486	C₂²×C₈₉	1	1	yes	characteristic
960	#486	C₂²×C₈₉	1	1	yes	characteristic
961	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
962	#486	C₂²×C₈₉	1	1	yes	characteristic, complemented
963	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
964	#485	C₂²×C₈₉	1	1	yes	characteristic, complemented
965	#484	C₂²×C₈₉	1	1	yes	characteristic, complemented
966	#483	C₂²×C₈₉	1	1	yes	characteristic, complemented
967	#482	C₂²×C₈₉	1	1	yes	characteristic
968	#482	C₂²×C₈₉	1	1	yes	characteristic
969	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
970	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
971	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
972	#482	C₂²×C₈₉	1	1	yes	characteristic, complemented
973	#481	C₂²×C₈₉	1	1	yes	characteristic
974	#480	C₂²×C₈₉	1	1	yes	characteristic
975	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
976	#479	C₂²×C₈₉	1	1	yes	characteristic, complemented
977	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
978	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
979	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
980	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
981	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
982	#478	C₂²×C₈₉	1	1	yes	characteristic, complemented
983	#477	C₂²×C₈₉	1	1	yes	characteristic, complemented
984	#476	C₂²×C₈₉	1	1	yes	characteristic, complemented
985	#475	C₂²×C₈₉	1	1	yes	characteristic, complemented
986	#474	C₂²×C₈₉	1	1	yes	characteristic, complemented
987	#470	C₂²×C₈₉	1	1	yes	characteristic, complemented
988	#469	C₂²×C₈₉	1	1	yes	characteristic
989	#469	C₂²×C₈₉	1	1	yes	characteristic, complemented
990	#469	C₂²×C₈₉	1	1	yes	characteristic, complemented
991	#468	C₂²×C₈₉	1	1	yes	characteristic
992	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
993	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
994	#468	C₂²×C₈₉	1	1	yes	characteristic, complemented
995	#467	C₂²×C₈₉	1	1	yes	characteristic, complemented
996	#466	C₂²×C₈₉	1	1	yes	characteristic
997	#465	C₂²×C₈₉	1	1	yes	characteristic
998	#465	C₂²×C₈₉	1	1	yes	characteristic, complemented
999	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1002	#464	C₂²×C₈₉	1	1	yes	characteristic, complemented
1003	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1004	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1005	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1006	#463	C₂²×C₈₉	1	1	yes	characteristic, complemented
1007	#460	C₂²×C₈₉	1	1	yes	characteristic
1008	#460	C₂²×C₈₉	1	1	yes	characteristic
1009	#459	C₂²×C₈₉	1	1	yes	characteristic
1010	#459	C₂²×C₈₉	1	1	yes	characteristic
1011	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1012	#452	C₂²×C₈₉	1	1	yes	characteristic, complemented
1013	#451	C₂²×C₈₉	1	1	yes	characteristic, complemented
1014	#450	C₂²×C₈₉	1	1	yes	characteristic
1015	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1016	#450	C₂²×C₈₉	1	1	yes	characteristic, complemented
1017	#449	C₂²×C₈₉	1	1	yes	characteristic, complemented
1018	#449	C₂²×C₈₉	1	1	yes	characteristic, complemented
1019	#448	C₂²×C₈₉	1	1	yes	characteristic, complemented
1020	#447	C₂²×C₈₉	1	1	yes	characteristic
1021	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1022	#447	C₂²×C₈₉	1	1	yes	characteristic, complemented
1023	#446	C₂²×C₈₉	1	1	yes	characteristic, complemented
1024	C₈×Q₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1025	#442	C₂²×C₈₉	1	1	yes	characteristic, complemented
1026	#441	C₂²×C₈₉	1	1	yes	characteristic, complemented
1027	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1028	#440	C₂²×C₈₉	1	1	yes	characteristic, complemented
1029	C₄×Q₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1030	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1031	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1032	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1033	C₄×SD₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1034	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1035	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1036	C₄×D₈	C₂²×C₈₉	1	1	yes	characteristic, complemented
1037	#436	C₂²×C₈₉	1	1	yes	characteristic, complemented
1038	#436	C₂²×C₈₉	1	1	yes	characteristic, complemented
1039	#436	C₂²×C₈₉	1	1	yes	characteristic, complemented
1040	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1041	#435	C₂²×C₈₉	1	1	yes	characteristic, complemented
1042	C₈×D₄	C₂²×C₈₉	1	1	yes	characteristic, complemented
1043	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1044	#433	C₂²×C₈₉	1	1	yes	characteristic, complemented
1045	#431	C₂²×C₈₉	1	1	yes	characteristic, complemented
1046	#419	C₂²×C₈₉	1	1	yes	characteristic, complemented
1047	#419	C₂²×C₈₉	1	1	yes	characteristic, complemented
1048	#418	C₂²×C₈₉	1	1	yes	characteristic
1049	#418	C₂²×C₈₉	1	1	yes	characteristic
1050	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1051	#418	C₂²×C₈₉	1	1	yes	characteristic, complemented
1052	#417	C₂²×C₈₉	1	1	yes	characteristic, complemented
1053	#417	C₂²×C₈₉	1	1	yes	characteristic, complemented
1054	#416	C₂²×C₈₉	1	1	yes	characteristic, complemented
1055	#416	C₂²×C₈₉	1	1	yes	characteristic, complemented
1056	C₂×#102	C₂²×C₈₉	1	1	yes	characteristic, complemented
1057	C₂×#102	C₂²×C₈₉	1	1	yes	characteristic, complemented
1058	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1059	#405	C₂²×C₈₉	1	1	yes	characteristic, complemented
1060	C₄×M₁₆	C₂²×C₈₉	1	1	yes	characteristic, complemented
1061	C₂×#41	—	2	1	no	—
1062	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1063	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
1064	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1065	C₂²×D₄	—	2	1	no	—
1066	C₂²×D₄	—	2	1	no	—
1067	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1068	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1069	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
1070	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1071	C₂×Q₁₆	C₂³×C₈₉	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1073	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1074	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1075	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1076	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1077	C₂×SD₁₆	C₂³×C₈₉	1	1	yes	characteristic
1078	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1079	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1080	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1081	C₂×D₈	C₂³×C₈₉	1	1	yes	characteristic
1082	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1083	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1084	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1085	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
1086	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1087	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
1088	C₄⋊Q₈	—	2	1	no	—
1089	C₄⋊Q₈	—	2	1	no	—
1090	C₄⋊Q₈	—	2	1	no	—
1091	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1092	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1093	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1094	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1095	C₄⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1096	#127	C₂³×C₈₉	1	1	yes	characteristic
1097	#127	C₂³×C₈₉	1	1	yes	characteristic
1098	#127	C₂³×C₈₉	1	1	yes	characteristic
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	—	2	1	no	—
1110	#126	D₄×C₈₉	1	1	yes	characteristic
1111	#126	D₄×C₈₉	1	1	yes	characteristic
1112	#125	—	2	1	no	—
1113	#125	—	2	1	no	—
1114	#125	—	2	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	2	1	no	—
1117	#125	—	2	1	no	—
1118	#125	D₄×C₈₉	1	1	yes	characteristic
1119	#125	C₂³×C₈₉	1	1	yes	characteristic
1120	#125	C₂³×C₈₉	1	1	yes	characteristic
1121	#125	C₂³×C₈₉	1	1	yes	characteristic
1122	#125	C₂³×C₈₉	1	1	yes	characteristic
1123	#125	C₂³×C₈₉	1	1	yes	characteristic
1124	#124	—	2	1	no	—
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	—	2	1	no	—
1129	#124	—	2	1	no	—
1130	#124	—	2	1	no	—
1131	#124	—	2	1	no	—
1132	#124	—	2	1	no	—
1133	#124	—	2	1	no	—
1134	#124	—	2	1	no	—
1135	#124	—	2	1	no	—
1136	#124	—	2	1	no	—
1137	#124	—	2	1	no	—
1138	#124	D₄×C₈₉	1	1	yes	characteristic
1139	#124	C₂³×C₈₉	1	1	yes	characteristic
1140	#124	C₂³×C₈₉	1	1	yes	characteristic
1141	#124	C₂³×C₈₉	1	1	yes	characteristic
1142	#124	C₂³×C₈₉	1	1	yes	characteristic
1143	#124	C₂³×C₈₉	1	1	yes	characteristic
1144	#124	C₂³×C₈₉	1	1	yes	characteristic
1145	#124	C₂³×C₈₉	1	1	yes	characteristic
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	2	1	no	—
1154	#123	—	2	1	no	—
1155	#123	—	2	1	no	—
1156	#123	—	2	1	no	—
1157	#123	—	2	1	no	—
1158	#123	—	2	1	no	—
1159	#123	—	2	1	no	—
1160	#123	—	2	1	no	—
1161	#123	D₄×C₈₉	1	1	yes	characteristic
1162	#123	D₄×C₈₉	1	1	yes	characteristic
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	2	1	no	—
1165	C₂²⋊Q₈	—	2	1	no	—
1166	C₂²⋊Q₈	—	2	1	no	—
1167	C₂²⋊Q₈	—	2	1	no	—
1168	C₂²⋊Q₈	—	2	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	2	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	2	1	no	—
1173	C₂²⋊Q₈	—	2	1	no	—
1174	C₂²⋊Q₈	—	2	1	no	—
1175	C₂²⋊Q₈	—	2	1	no	—
1176	C₂²⋊Q₈	—	2	1	no	—
1177	C₂²⋊Q₈	—	2	1	no	—
1178	C₂²⋊Q₈	D₄×C₈₉	1	1	yes	characteristic
1179	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1180	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1181	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1182	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1183	C₂²⋊Q₈	C₂³×C₈₉	1	1	yes	characteristic
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	2	1	no	—
1194	#121	—	2	1	no	—
1195	#121	—	2	1	no	—
1196	#121	—	2	1	no	—
1197	#121	—	2	1	no	—
1198	#121	D₄×C₈₉	1	1	yes	characteristic
1199	#121	C₂³×C₈₉	1	1	yes	characteristic
1200	#121	C₂³×C₈₉	1	1	yes	characteristic
1201	#121	C₂³×C₈₉	1	1	yes	characteristic
1202	#121	C₂³×C₈₉	1	1	yes	characteristic
1203	#121	C₂³×C₈₉	1	1	yes	characteristic
1204	#121	C₂³×C₈₉	1	1	yes	characteristic
1205	#121	C₂³×C₈₉	1	1	yes	characteristic
1206	#120	—	2	1	no	—
1207	#120	—	2	1	no	—
1208	#120	—	2	1	no	—
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	#120	—	2	1	no	—
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	#120	—	2	1	no	—
1216	C₄×Q₈	—	2	1	no	—
1217	C₄×Q₈	—	2	1	no	—
1218	C₄×Q₈	—	2	1	no	—
1219	C₄×Q₈	—	2	1	no	—
1220	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1221	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1222	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1223	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1224	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1225	C₄×Q₈	C₂³×C₈₉	1	1	yes	characteristic
1226	C₄×D₄	—	2	1	no	—
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	2	1	no	—
1231	C₄×D₄	—	2	1	no	—
1232	C₄×D₄	—	2	1	no	—
1233	C₄×D₄	—	2	1	no	—
1234	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1235	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1236	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1237	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1238	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1239	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1240	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1241	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1242	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1243	C₄×D₄	C₂³×C₈₉	1	1	yes	characteristic
1244	#117	—	2	1	no	—
1245	#117	—	2	1	no	—
1246	#117	—	2	1	no	—
1247	#117	—	2	1	no	—
1248	#117	C₂³×C₈₉	1	1	yes	characteristic
1249	#117	C₂³×C₈₉	1	1	yes	characteristic
1250	#117	C₂³×C₈₉	1	1	yes	characteristic
1251	#117	C₂³×C₈₉	1	1	yes	characteristic
1252	#117	C₂³×C₈₉	1	1	yes	characteristic
1253	#117	C₂³×C₈₉	1	1	yes	characteristic
1254	C₂×C₄⋊C₄	—	2	1	no	—
1255	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	C₂³×C₈₉	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	—	2	1	no	—
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₂²⋊C₄	—	2	1	no	—
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
1262	#107	C₂³×C₈₉	1	1	yes	characteristic
1263	#107	C₂³×C₈₉	1	1	yes	characteristic
1264	#107	C₂³×C₈₉	1	1	yes	characteristic
1265	#107	C₂³×C₈₉	1	1	yes	characteristic
1266	#107	C₂³×C₈₉	1	1	yes	characteristic
1267	#107	C₂³×C₈₉	1	1	yes	characteristic
1268	#106	C₂³×C₈₉	1	1	yes	characteristic
1269	#106	C₂³×C₈₉	1	1	yes	characteristic
1270	#106	C₂³×C₈₉	1	1	yes	characteristic
1271	#106	C₂³×C₈₉	1	1	yes	characteristic
1272	#106	C₂³×C₈₉	1	1	yes	characteristic
1273	#106	C₂³×C₈₉	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1275	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1276	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1277	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1278	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1279	C₄⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1280	#103	C₂³×C₈₉	1	1	yes	characteristic
1281	#103	C₂³×C₈₉	1	1	yes	characteristic
1282	#103	C₂³×C₈₉	1	1	yes	characteristic
1283	#103	C₂³×C₈₉	1	1	yes	characteristic
1284	#103	C₂³×C₈₉	1	1	yes	characteristic
1285	#103	C₂³×C₈₉	1	1	yes	characteristic
1286	#103	C₂³×C₈₉	1	1	yes	characteristic
1287	#103	C₂³×C₈₉	1	1	yes	characteristic
1288	#103	C₂³×C₈₉	1	1	yes	characteristic
1289	#103	C₂³×C₈₉	1	1	yes	characteristic
1290	#103	C₂³×C₈₉	1	1	yes	characteristic
1291	#103	C₂³×C₈₉	1	1	yes	characteristic
1292	#103	C₂³×C₈₉	1	1	yes	characteristic
1293	#103	C₂³×C₈₉	1	1	yes	characteristic
1294	#102	C₂³×C₈₉	1	1	yes	characteristic
1295	#102	C₂³×C₈₉	1	1	yes	characteristic
1296	#102	C₂³×C₈₉	1	1	yes	characteristic
1297	#102	C₂³×C₈₉	1	1	yes	characteristic
1298	#102	C₂³×C₈₉	1	1	yes	characteristic
1299	#102	C₂³×C₈₉	1	1	yes	characteristic
1300	#102	C₂³×C₈₉	1	1	yes	characteristic
1301	#102	C₂³×C₈₉	1	1	yes	characteristic
1302	#102	C₂³×C₈₉	1	1	yes	characteristic
1303	#102	C₂³×C₈₉	1	1	yes	characteristic
1304	#102	C₂³×C₈₉	1	1	yes	characteristic
1305	#102	C₂³×C₈₉	1	1	yes	characteristic
1306	#102	C₂³×C₈₉	1	1	yes	characteristic
1307	#102	C₂³×C₈₉	1	1	yes	characteristic
1308	#102	C₂³×C₈₉	1	1	yes	characteristic
1309	#102	C₂³×C₈₉	1	1	yes	characteristic
1310	#102	C₂³×C₈₉	1	1	yes	characteristic
1311	#102	C₂³×C₈₉	1	1	yes	characteristic
1312	#102	C₂³×C₈₉	1	1	yes	characteristic
1313	#102	C₂³×C₈₉	1	1	yes	characteristic
1314	#102	C₂³×C₈₉	1	1	yes	characteristic
1315	#102	C₂³×C₈₉	1	1	yes	characteristic
1316	#102	C₂³×C₈₉	1	1	yes	characteristic
1317	#102	C₂³×C₈₉	1	1	yes	characteristic
1318	#102	C₂³×C₈₉	1	1	yes	characteristic
1319	#102	C₂³×C₈₉	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1321	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1322	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1323	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1324	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1325	C₂²⋊C₈	C₂³×C₈₉	1	1	yes	characteristic
1326	#97	C₂³×C₈₉	1	1	yes	characteristic
1327	#97	C₂³×C₈₉	1	1	yes	characteristic
1328	#97	C₂³×C₈₉	1	1	yes	characteristic
1329	#97	C₂³×C₈₉	1	1	yes	characteristic
1330	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1331	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1332	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1333	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1334	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1335	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
1336	C₂⁴	—	2	1	no	—
1337	C₂⁴	—	2	1	no	—
1338	C₂⁴	—	2	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	4	1	no	—
1343	#41	—	8	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₈₉	1	1	yes	characteristic
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	4	1	no	—
1375	C₂×D₄	—	4	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	4	1	no	—
1379	C₂×D₄	—	4	1	no	—
1380	C₂×D₄	—	8	2	no	—
1381	C₂×D₄	—	8	2	no	—
1382	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1383	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1384	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1387	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1388	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₈₉	1	1	yes	characteristic
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1403	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	D₈	—	4	1	no	—
1416	D₈	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	M₁₆	—	4	1	no	—
1420	M₁₆	—	4	1	no	—
1421	M₁₆	—	4	1	no	—
1422	M₁₆	—	4	1	no	—
1423	C₂×C₈	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1426	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₈₉	1	1	yes	characteristic
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1470	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₈₉	1	1	yes	characteristic
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1535	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1537	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1538	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1539	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	4	2	no	—
1546	C₂³	—	8	1	no	—
1547	C₂³	—	8	1	no	—
1548	C₂³	—	8	1	no	—
1549	C₂³	—	8	1	no	—
1550	C₂³	—	8	1	no	—
1551	C₂³	—	8	1	no	—
1552	C₂³	—	8	1	no	—
1553	C₂³	—	8	1	no	—
1554	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1555	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1556	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	4	1	no	—
1564	Q₈	—	8	1	no	—
1565	Q₈	—	8	1	no	—
1566	Q₈	—	8	1	no	—
1567	Q₈	—	8	1	no	—
1568	Q₈	—	8	1	no	—
1569	Q₈	—	8	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	4	1	no	—
1581	D₄	—	4	1	no	—
1582	D₄	—	4	1	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	4	2	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	8	1	no	—
1596	D₄	—	8	1	no	—
1597	D₄	—	8	1	no	—
1598	D₄	—	8	1	no	—
1599	D₄	—	8	1	no	—
1600	D₄	—	8	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1641	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1642	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
1643	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	16	2	no	—
1677	C₂²	—	16	2	no	—
1678	C₂²	—	16	2	no	—
1679	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	#585×C₈₉	1	1	yes	characteristic
1703	C₄	#585×C₈₉	1	1	yes	characteristic
1704	C₂	—	4	1	no	—
1705	C₂	—	4	1	no	—
1706	C₂	—	4	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	8	1	no	—
1709	C₂	—	8	1	no	—
1710	C₂	—	8	1	no	—
1711	C₂	—	8	1	no	—
1712	C₂	C₈₉×#3500	1	1	yes	characteristic
1713	C₂	C₈₉×#3584	1	1	yes	characteristic
1714	C₂	C₈₉×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ #529×C₈₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₈₉×#3565	C₂	semidirect
2. C₈₉×#3558	C₂	semidirect
3. C₈₉×#3371	C₂	semidirect
4. C₈₉×#3370	C₂	semidirect
5. C₈₉×#3365	C₂	semidirect
6. C₈₉×#3361	C₂	semidirect
7. C₈₉×#3327	C₂	semidirect
8. C₈₉×#3326	C₂	semidirect
9. C₈₉×#3325	C₂	semidirect
10. C₈₉×#3324	C₂	semidirect
11. C₈₉×#3323	C₂	semidirect
12. C₈₉×#3322	C₂	semidirect
13. C₈₉×#3321	C₂	semidirect
14. C₈₉×#3318	C₂	semidirect
15. C₈₉×#3313	C₂	semidirect
16. C₈₉×#3310	C₂	semidirect
17. C₈₉×#3297	C₂	semidirect
18. C₈₉×#3296	C₂	semidirect
19. C₈₉×#3244	C₂	semidirect
20. C₈₉×#3243	C₂	semidirect
21. C₈₉×#3228	C₂	semidirect
22. C₈₉×#3224	C₂	semidirect
23. C₈₉×#3224	C₂	semidirect
24. C₈₉×#3211	C₂	semidirect
25. C₈₉×#3175	C₂	semidirect
26. C₈₉×#3173	C₂	semidirect
27. C₈₉×#3171	C₂	semidirect
28. C₈₉×#3140	C₂	semidirect
29. C₈₉×#3136	C₂	semidirect
30. C₈₉×#3136	C₂	semidirect
31. C₈₉×#2969	C₂	semidirect
38. #557×C₈₉	C₂²	semidirect
40. #556×C₈₉	C₂²	semidirect
41. #555×C₈₉	C₂²	semidirect
42. #554×C₈₉	C₂²	semidirect
43. #553×C₈₉	C₂²	semidirect
44. #553×C₈₉	C₂²	semidirect
46. #552×C₈₉	C₂²	semidirect
47. #552×C₈₉	C₂²	semidirect
56. #544×C₈₉	C₂²	semidirect
57. #544×C₈₉	C₂²	semidirect
62. #542×C₈₉	C₂²	semidirect
63. #542×C₈₉	C₂²	semidirect
72. #533×C₈₉	C₂²	semidirect
75. #529×C₈₉	C₂²	semidirect
77. #501×C₈₉	C₂²	semidirect
78. #500×C₈₉	C₂²	semidirect
79. #498×C₈₉	C₂²	semidirect
80. #496×C₈₉	C₂²	semidirect
81. #495×C₈₉	C₂²	semidirect
82. #495×C₈₉	C₂²	semidirect
85. #490×C₈₉	C₂²	semidirect
86. #489×C₈₉	C₂²	semidirect
87. #489×C₈₉	C₂²	semidirect
88. #489×C₈₉	C₂²	semidirect
89. #489×C₈₉	C₂²	semidirect
90. #489×C₈₉	C₂²	semidirect
91. #489×C₈₉	C₂²	semidirect
92. #489×C₈₉	C₂²	semidirect
93. #488×C₈₉	C₂²	semidirect
94. #488×C₈₉	C₂²	semidirect
95. #488×C₈₉	C₂²	semidirect
96. #488×C₈₉	C₂²	semidirect
97. #488×C₈₉	C₂²	semidirect
98. #488×C₈₉	C₂²	semidirect
99. #488×C₈₉	C₂²	semidirect
100. #488×C₈₉	C₂²	semidirect
103. #486×C₈₉	C₂²	semidirect
104. #486×C₈₉	C₂²	semidirect
105. #485×C₈₉	C₂²	semidirect
106. #485×C₈₉	C₂²	semidirect
107. #484×C₈₉	C₂²	semidirect
108. #483×C₈₉	C₂²	semidirect
111. #482×C₈₉	C₂²	semidirect
112. #482×C₈₉	C₂²	semidirect
113. #482×C₈₉	C₂²	semidirect
114. #482×C₈₉	C₂²	semidirect
117. #479×C₈₉	C₂²	semidirect
118. #479×C₈₉	C₂²	semidirect
119. #478×C₈₉	C₂²	semidirect
120. #478×C₈₉	C₂²	semidirect
121. #478×C₈₉	C₂²	semidirect
122. #478×C₈₉	C₂²	semidirect
123. #478×C₈₉	C₂²	semidirect
124. #478×C₈₉	C₂²	semidirect
125. #477×C₈₉	C₂²	semidirect
126. #476×C₈₉	C₂²	semidirect
127. #475×C₈₉	C₂²	semidirect
128. #474×C₈₉	C₂²	semidirect
129. #470×C₈₉	C₂²	semidirect
131. #469×C₈₉	C₂²	semidirect
132. #469×C₈₉	C₂²	semidirect
134. #468×C₈₉	C₂²	semidirect
135. #468×C₈₉	C₂²	semidirect
136. #468×C₈₉	C₂²	semidirect
137. #467×C₈₉	C₂²	semidirect
140. #465×C₈₉	C₂²	semidirect
141. #464×C₈₉	C₂²	semidirect
142. #464×C₈₉	C₂²	semidirect
143. #464×C₈₉	C₂²	semidirect
144. #464×C₈₉	C₂²	semidirect
145. #463×C₈₉	C₂²	semidirect
146. #463×C₈₉	C₂²	semidirect
147. #463×C₈₉	C₂²	semidirect
148. #463×C₈₉	C₂²	semidirect
153. #452×C₈₉	C₂²	semidirect
154. #452×C₈₉	C₂²	semidirect
155. #451×C₈₉	C₂²	semidirect
157. #450×C₈₉	C₂²	semidirect
158. #450×C₈₉	C₂²	semidirect
159. #449×C₈₉	C₂²	semidirect
160. #449×C₈₉	C₂²	semidirect
161. #448×C₈₉	C₂²	semidirect
163. #447×C₈₉	C₂²	semidirect
164. #447×C₈₉	C₂²	semidirect
165. #446×C₈₉	C₂²	semidirect
166. C₈×Q₈×C₈₉	C₂²	semidirect
167. #442×C₈₉	C₂²	semidirect
168. #441×C₈₉	C₂²	semidirect
169. #440×C₈₉	C₂²	semidirect
170. #440×C₈₉	C₂²	semidirect
171. C₄×Q₁₆×C₈₉	C₂²	semidirect
172. C₄×SD₁₆×C₈₉	C₂²	semidirect
173. C₄×SD₁₆×C₈₉	C₂²	semidirect
174. C₄×SD₁₆×C₈₉	C₂²	semidirect
175. C₄×SD₁₆×C₈₉	C₂²	semidirect
176. C₄×D₈×C₈₉	C₂²	semidirect
177. C₄×D₈×C₈₉	C₂²	semidirect
178. C₄×D₈×C₈₉	C₂²	semidirect
179. #436×C₈₉	C₂²	semidirect
180. #436×C₈₉	C₂²	semidirect
181. #436×C₈₉	C₂²	semidirect
182. #435×C₈₉	C₂²	semidirect
183. #435×C₈₉	C₂²	semidirect
184. C₈×D₄×C₈₉	C₂²	semidirect
185. #433×C₈₉	C₂²	semidirect
186. #433×C₈₉	C₂²	semidirect
187. #431×C₈₉	C₂²	semidirect
188. #419×C₈₉	C₂²	semidirect
189. #419×C₈₉	C₂²	semidirect
192. #418×C₈₉	C₂²	semidirect
193. #418×C₈₉	C₂²	semidirect
194. #417×C₈₉	C₂²	semidirect
195. #417×C₈₉	C₂²	semidirect
196. #416×C₈₉	C₂²	semidirect
197. #416×C₈₉	C₂²	semidirect
198. C₂×#102×C₈₉	C₂²	semidirect
199. C₂×#102×C₈₉	C₂²	semidirect
200. #405×C₈₉	C₂²	semidirect
201. #405×C₈₉	C₂²	semidirect
202. C₄×M₁₆×C₈₉	C₂²	semidirect
846. #62614	C₈₉	direct (N × H)
858. #3565	C₂×C₈₉	semidirect
859. #3558	C₂×C₈₉	semidirect
860. #3371	C₂×C₈₉	semidirect
861. #3370	C₂×C₈₉	semidirect
862. #3365	C₂×C₈₉	semidirect
863. #3361	C₂×C₈₉	semidirect
864. #3327	C₂×C₈₉	semidirect
865. #3326	C₂×C₈₉	semidirect
866. #3325	C₂×C₈₉	semidirect
867. #3324	C₂×C₈₉	semidirect
868. #3323	C₂×C₈₉	semidirect
869. #3322	C₂×C₈₉	semidirect
870. #3321	C₂×C₈₉	semidirect
871. #3318	C₂×C₈₉	semidirect
872. #3313	C₂×C₈₉	semidirect
873. #3310	C₂×C₈₉	semidirect
874. #3297	C₂×C₈₉	semidirect
875. #3296	C₂×C₈₉	semidirect
876. #3244	C₂×C₈₉	semidirect
877. #3243	C₂×C₈₉	semidirect
878. #3228	C₂×C₈₉	semidirect
879. #3224	C₂×C₈₉	semidirect
880. #3224	C₂×C₈₉	semidirect
881. #3211	C₂×C₈₉	semidirect
882. #3175	C₂×C₈₉	semidirect
883. #3173	C₂×C₈₉	semidirect
884. #3171	C₂×C₈₉	semidirect
885. #3140	C₂×C₈₉	semidirect
886. #3136	C₂×C₈₉	semidirect
887. #3136	C₂×C₈₉	semidirect
888. #2969	C₂×C₈₉	semidirect
889. C₈₉	#62614	direct (N × H)
896. #557	C₂²×C₈₉	semidirect
898. #556	C₂²×C₈₉	semidirect
899. #555	C₂²×C₈₉	semidirect
900. #554	C₂²×C₈₉	semidirect
901. #553	C₂²×C₈₉	semidirect
902. #553	C₂²×C₈₉	semidirect
904. #552	C₂²×C₈₉	semidirect
905. #552	C₂²×C₈₉	semidirect
914. #544	C₂²×C₈₉	semidirect
915. #544	C₂²×C₈₉	semidirect
920. #542	C₂²×C₈₉	semidirect
921. #542	C₂²×C₈₉	semidirect
930. #533	C₂²×C₈₉	semidirect
933. #529	C₂²×C₈₉	semidirect
935. #501	C₂²×C₈₉	semidirect
936. #500	C₂²×C₈₉	semidirect
937. #498	C₂²×C₈₉	semidirect
938. #496	C₂²×C₈₉	semidirect
939. #495	C₂²×C₈₉	semidirect
940. #495	C₂²×C₈₉	semidirect
943. #490	C₂²×C₈₉	semidirect
944. #489	C₂²×C₈₉	semidirect
945. #489	C₂²×C₈₉	semidirect
946. #489	C₂²×C₈₉	semidirect
947. #489	C₂²×C₈₉	semidirect
948. #489	C₂²×C₈₉	semidirect
949. #489	C₂²×C₈₉	semidirect
950. #489	C₂²×C₈₉	semidirect
951. #488	C₂²×C₈₉	semidirect
952. #488	C₂²×C₈₉	semidirect
953. #488	C₂²×C₈₉	semidirect
954. #488	C₂²×C₈₉	semidirect
955. #488	C₂²×C₈₉	semidirect
956. #488	C₂²×C₈₉	semidirect
957. #488	C₂²×C₈₉	semidirect
958. #488	C₂²×C₈₉	semidirect
961. #486	C₂²×C₈₉	semidirect
962. #486	C₂²×C₈₉	semidirect
963. #485	C₂²×C₈₉	semidirect
964. #485	C₂²×C₈₉	semidirect
965. #484	C₂²×C₈₉	semidirect
966. #483	C₂²×C₈₉	semidirect
969. #482	C₂²×C₈₉	semidirect
970. #482	C₂²×C₈₉	semidirect
971. #482	C₂²×C₈₉	semidirect
972. #482	C₂²×C₈₉	semidirect
975. #479	C₂²×C₈₉	semidirect
976. #479	C₂²×C₈₉	semidirect
977. #478	C₂²×C₈₉	semidirect
978. #478	C₂²×C₈₉	semidirect
979. #478	C₂²×C₈₉	semidirect
980. #478	C₂²×C₈₉	semidirect
981. #478	C₂²×C₈₉	semidirect
982. #478	C₂²×C₈₉	semidirect
983. #477	C₂²×C₈₉	semidirect
984. #476	C₂²×C₈₉	semidirect
985. #475	C₂²×C₈₉	semidirect
986. #474	C₂²×C₈₉	semidirect
987. #470	C₂²×C₈₉	semidirect
989. #469	C₂²×C₈₉	semidirect
990. #469	C₂²×C₈₉	semidirect
992. #468	C₂²×C₈₉	semidirect
993. #468	C₂²×C₈₉	semidirect
994. #468	C₂²×C₈₉	semidirect
995. #467	C₂²×C₈₉	semidirect
998. #465	C₂²×C₈₉	semidirect
999. #464	C₂²×C₈₉	semidirect
1000. #464	C₂²×C₈₉	semidirect
1001. #464	C₂²×C₈₉	semidirect
1002. #464	C₂²×C₈₉	semidirect
1003. #463	C₂²×C₈₉	semidirect
1004. #463	C₂²×C₈₉	semidirect
1005. #463	C₂²×C₈₉	semidirect
1006. #463	C₂²×C₈₉	semidirect
1011. #452	C₂²×C₈₉	semidirect
1012. #452	C₂²×C₈₉	semidirect
1013. #451	C₂²×C₈₉	semidirect
1015. #450	C₂²×C₈₉	semidirect
1016. #450	C₂²×C₈₉	semidirect
1017. #449	C₂²×C₈₉	semidirect
1018. #449	C₂²×C₈₉	semidirect
1019. #448	C₂²×C₈₉	semidirect
1021. #447	C₂²×C₈₉	semidirect
1022. #447	C₂²×C₈₉	semidirect
1023. #446	C₂²×C₈₉	semidirect
1024. C₈×Q₈	C₂²×C₈₉	semidirect
1025. #442	C₂²×C₈₉	semidirect
1026. #441	C₂²×C₈₉	semidirect
1027. #440	C₂²×C₈₉	semidirect
1028. #440	C₂²×C₈₉	semidirect
1029. C₄×Q₁₆	C₂²×C₈₉	semidirect
1030. C₄×SD₁₆	C₂²×C₈₉	semidirect
1031. C₄×SD₁₆	C₂²×C₈₉	semidirect
1032. C₄×SD₁₆	C₂²×C₈₉	semidirect
1033. C₄×SD₁₆	C₂²×C₈₉	semidirect
1034. C₄×D₈	C₂²×C₈₉	semidirect
1035. C₄×D₈	C₂²×C₈₉	semidirect
1036. C₄×D₈	C₂²×C₈₉	semidirect
1037. #436	C₂²×C₈₉	semidirect
1038. #436	C₂²×C₈₉	semidirect
1039. #436	C₂²×C₈₉	semidirect
1040. #435	C₂²×C₈₉	semidirect
1041. #435	C₂²×C₈₉	semidirect
1042. C₈×D₄	C₂²×C₈₉	semidirect
1043. #433	C₂²×C₈₉	semidirect
1044. #433	C₂²×C₈₉	semidirect
1045. #431	C₂²×C₈₉	semidirect
1046. #419	C₂²×C₈₉	semidirect
1047. #419	C₂²×C₈₉	semidirect
1050. #418	C₂²×C₈₉	semidirect
1051. #418	C₂²×C₈₉	semidirect
1052. #417	C₂²×C₈₉	semidirect
1053. #417	C₂²×C₈₉	semidirect
1054. #416	C₂²×C₈₉	semidirect
1055. #416	C₂²×C₈₉	semidirect
1056. C₂×#102	C₂²×C₈₉	semidirect
1057. C₂×#102	C₂²×C₈₉	semidirect
1058. #405	C₂²×C₈₉	semidirect
1059. #405	C₂²×C₈₉	semidirect
1060. C₄×M₁₆	C₂²×C₈₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₈₉×#3565	2
C₈₉×#3558	2
C₈₉×#3371	2
C₈₉×#3370	2
C₈₉×#3365	2
C₈₉×#3361	2
C₈₉×#3327	2
C₈₉×#3326	2
C₈₉×#3325	2
C₈₉×#3324	2
C₈₉×#3323	2
C₈₉×#3322	2
C₈₉×#3321	2
C₈₉×#3318	2
C₈₉×#3313	2
C₈₉×#3310	2
C₈₉×#3297	2
C₈₉×#3296	2
C₈₉×#3244	2
C₈₉×#3243	2
C₈₉×#3228	2
C₈₉×#3224	2
C₈₉×#3211	2
C₈₉×#3175	2
C₈₉×#3173	2
C₈₉×#3171	2
C₈₉×#3140	2
C₈₉×#3136	2
C₈₉×#2969	2
#62614	89

Subgroups — C89×#62614 #36440462

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#62614 #36440462