Subgroups — #36714301

Order 22784.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152277	C₂	1	1	yes	maximal, characteristic
2	#26023383	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023378	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023372	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023359	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023332	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023329	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023250	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023241	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023232	C₂	1	1	yes	maximal, characteristic
11	#26023189	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023109	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023106	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023098	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023095	C₂	1	1	yes	maximal, characteristic, complemented
16	#26022802	C₂	1	1	yes	maximal, characteristic, complemented
17	#26022800	C₂	1	1	yes	maximal, characteristic, complemented
18	#26022793	C₂	1	1	yes	maximal, characteristic, complemented
19	#26022786	C₂	1	1	yes	maximal, characteristic, complemented
20	#26022780	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022779	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022777	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022769	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022757	C₂	1	1	yes	maximal, characteristic
25	C₄×D₄×Dic₈₉	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#15667972	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022591	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#15667968	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#19151445	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2353	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
33	#19152277	C₄	1	16	yes	complemented
34	C₂×#15668007	C₂²	1	1	yes	characteristic
35	C₂×#15668006	C₂²	1	1	yes	characteristic
36	C₂×#15667998	C₂²	1	1	yes	characteristic
37	C₂×#15667995	C₂²	1	1	yes	characteristic
38	C₂×#15667994	C₂²	1	1	yes	characteristic
39	C₂×#15667993	C₂²	1	1	yes	characteristic
40	C₂×#15667991	C₂²	1	1	yes	characteristic
41	C₂×#15667990	C₂²	1	1	yes	characteristic
42	C₂×#15667980	C₂²	1	1	yes	characteristic
43	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
45	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
47	C₂×#15667972	C₂²	1	1	yes	characteristic
48	C₂×#15667972	C₂²	1	1	yes	characteristic
49	C₂×#15667972	C₂²	1	1	yes	characteristic
50	C₂×#15667969	C₂²	1	1	yes	characteristic
51	C₂×#15667969	C₂²	1	1	yes	characteristic
52	C₂×#15667968	C₂²	1	1	yes	characteristic
53	C₂×#15667968	C₂²	1	1	yes	characteristic
54	C₂²×#13083551	C₂²	1	1	yes	characteristic
55	C₂²×#13083551	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
58	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
59	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
60	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
63	#19151503	C₂²	1	1	yes	characteristic, complemented
64	#19151502	C₂²	1	1	yes	characteristic, complemented
65	#19151502	C₂²	1	1	yes	characteristic, complemented
66	#19151498	C₂²	1	1	yes	characteristic
67	#19151495	C₂²	1	1	yes	characteristic, complemented
68	#19151494	C₂²	1	1	yes	characteristic, complemented
69	#19151492	C₂²	1	1	yes	characteristic, complemented
70	#19151492	C₂²	1	1	yes	characteristic, complemented
71	#19151492	C₂²	1	1	yes	characteristic, complemented
72	#19151490	C₂²	1	1	yes	characteristic
73	#19151489	C₂²	1	1	yes	characteristic
74	#19151489	C₂²	1	1	yes	characteristic
75	#19151488	C₂²	1	1	yes	characteristic
76	#19151488	C₂²	1	1	yes	characteristic
77	#19151487	C₂²	1	1	yes	characteristic
78	#19151487	C₂²	1	1	yes	characteristic
79	#19151487	C₂²	1	1	yes	characteristic
80	#19151487	C₂²	1	1	yes	characteristic
81	#19151487	C₂²	1	1	yes	characteristic
82	#19151486	C₂²	1	1	yes	characteristic, complemented
83	#19151485	C₂²	1	1	yes	characteristic, complemented
84	#19151485	C₂²	1	1	yes	characteristic, complemented
85	#19151485	C₂²	1	1	yes	characteristic, complemented
86	#19151483	C₂²	1	1	yes	characteristic, complemented
87	#19151483	C₂²	1	1	yes	characteristic, complemented
88	#19151482	C₂²	1	1	yes	characteristic, complemented
89	#19151482	C₂²	1	1	yes	characteristic, complemented
90	#19151480	C₂²	1	1	yes	characteristic, complemented
91	#19151480	C₂²	1	1	yes	characteristic, complemented
92	#19151480	C₂²	1	1	yes	characteristic, complemented
93	#19151480	C₂²	1	1	yes	characteristic, complemented
94	#19151480	C₂²	1	1	yes	characteristic, complemented
95	#19151480	C₂²	1	1	yes	characteristic, complemented
96	#19151480	C₂²	1	1	yes	characteristic, complemented
97	#19151475	C₂²	1	1	yes	characteristic
98	#19151474	C₂²	1	1	yes	characteristic
99	#19151474	C₂²	1	1	yes	characteristic
100	#19151474	C₂²	1	1	yes	characteristic
101	#19151472	C₂²	1	1	yes	characteristic
102	#19151472	C₂²	1	1	yes	characteristic
103	#19151472	C₂²	1	1	yes	characteristic
104	#19151471	C₂²	1	1	yes	characteristic
105	#19151471	C₂²	1	1	yes	characteristic
106	#19151470	C₂²	1	1	yes	characteristic
107	#19151470	C₂²	1	1	yes	characteristic
108	#19151470	C₂²	1	1	yes	characteristic, complemented
109	#19151469	C₂²	1	1	yes	characteristic
110	#19151469	C₂²	1	1	yes	characteristic
111	#19151465	C₂²	1	1	yes	characteristic, complemented
112	#19151462	C₂²	1	1	yes	characteristic, complemented
113	#19151460	C₂²	1	1	yes	characteristic
114	#19151459	C₂²	1	1	yes	characteristic
115	#19151457	C₂²	1	1	yes	characteristic
116	#19151453	C₂²	1	1	yes	characteristic
117	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
118	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
119	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
121	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
122	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
124	#19151449	C₂²	1	1	yes	characteristic, complemented
125	#19151449	C₂²	1	1	yes	characteristic, complemented
126	#19151449	C₂²	1	1	yes	characteristic, complemented
127	#19151449	C₂²	1	1	yes	characteristic, complemented
128	#19151449	C₂²	1	1	yes	characteristic, complemented
129	#19151449	C₂²	1	1	yes	characteristic, complemented
130	#19151449	C₂²	1	1	yes	characteristic, complemented
131	#19151449	C₂²	1	1	yes	characteristic, complemented
132	#19151449	C₂²	1	1	yes	characteristic, complemented
133	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
134	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
135	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
136	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
137	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
138	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
139	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
140	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
141	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
142	C₄×#13083551	C₂²	1	1	yes	characteristic
143	C₄×#13083551	C₂²	1	1	yes	characteristic
144	C₄×#13083551	C₂²	1	1	yes	characteristic
145	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
146	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
147	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
148	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
149	#19151445	C₂²	1	1	yes	characteristic
150	#19151445	C₂²	1	1	yes	characteristic
151	#19151445	C₂²	1	1	yes	characteristic
152	#19151445	C₂²	1	1	yes	characteristic
153	#19151445	C₂²	1	1	yes	characteristic
154	#19151445	C₂²	1	1	yes	characteristic
155	#19151445	C₂²	1	1	yes	characteristic
156	#19151445	C₂²	1	1	yes	characteristic
157	#19151445	C₂²	1	1	yes	characteristic
158	#19151445	C₂²	1	1	yes	characteristic
159	#19151445	C₂²	1	1	yes	characteristic
160	#19151445	C₂²	1	1	yes	characteristic
161	#19151445	C₂²	1	1	yes	characteristic
162	#19151445	C₂²	1	1	yes	characteristic
163	#19151445	C₂²	1	1	yes	characteristic
164	#19151444	C₂²	1	1	yes	characteristic, complemented
165	#19151443	C₂²	1	1	yes	characteristic, complemented
166	#19151443	C₂²	1	1	yes	characteristic, complemented
167	C₂×#15667919	C₂²	1	1	yes	characteristic
168	#95×D₈₉	C₂²	1	1	yes	characteristic
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
171	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
172	C₄²×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
174	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#386×C₈₉	C₂²	1	1	yes	characteristic
179	#386×C₈₉	C₂²	1	1	yes	characteristic
180	#383×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#381×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#380×C₈₉	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#376×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
188	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
192	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
195	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
196	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₈₉	—	2	4	no	—
198	C₂²×C₄×D₈₉	—	2	4	no	—
199	C₂²×C₄×D₈₉	—	4	2	no	—
200	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
208	#15668007	C₂×C₄	1	8	yes	complemented
209	#15668006	C₂×C₄	1	8	yes	complemented
210	#15667998	C₂×C₄	1	8	yes	complemented
211	#15667995	C₂×C₄	1	8	yes	complemented
212	#15667994	C₂×C₄	1	8	yes	complemented
213	#15667993	C₂×C₄	1	8	yes	complemented
214	#15667991	C₂×C₄	1	8	yes	complemented
215	#15667990	C₂×C₄	1	8	yes	complemented
216	#15667980	C₂×C₄	1	8	yes	—
217	#15667977	—	4	2	no	—
218	D₄×Dic₈₉	—	2	4	no	—
219	D₄×Dic₈₉	—	2	4	no	—
220	C₄×C₂²⋊D₈₉	C₂×C₄	1	8	yes	complemented
221	#15667972	—	2	4	no	—
222	#15667972	—	2	4	no	—
223	#15667972	—	4	2	no	—
224	#15667969	—	2	4	no	—
225	#15667969	C₂×C₄	1	8	yes	complemented
226	#15667968	—	2	4	no	—
227	#15667968	C₂×C₄	1	8	yes	complemented
228	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×#13083553	C₂³	1	1	yes	characteristic
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×#13083553	C₂³	1	1	yes	characteristic
234	C₂×#13083553	C₂³	1	1	yes	characteristic
235	C₂×#13083553	C₂³	1	1	yes	characteristic
236	C₂×#13083553	C₂³	1	1	yes	characteristic
237	C₂×#13083553	C₂³	1	1	yes	characteristic
238	C₂×#13083553	C₂³	1	1	yes	characteristic
239	C₂×#13083553	C₂³	1	1	yes	characteristic
240	C₂×#13083553	C₂³	1	1	yes	characteristic
241	C₂×#13083553	C₂³	1	1	yes	characteristic
242	C₂×#13083553	C₂³	1	1	yes	characteristic
243	C₂×#13083553	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
255	C₂×#13083551	—	2	4	no	—
256	C₂×#13083551	C₂×C₄	1	8	yes	complemented
257	C₂×#13083551	C₂³	1	1	yes	characteristic
258	C₂×#13083551	C₂³	1	1	yes	characteristic
259	C₂×#13083551	C₂³	1	1	yes	characteristic
260	C₂×#13083551	C₂³	1	1	yes	characteristic
261	C₂×#13083551	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×#13083551	C₂³	1	1	yes	characteristic
274	C₂×#13083551	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×D₈₉	—	2	4	no	—
276	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	complemented
277	C₂×C₄×Dic₈₉	—	2	4	no	—
278	C₂×C₄×Dic₈₉	—	4	2	no	—
279	C₂×C₄×Dic₈₉	—	4	2	no	—
280	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
308	C₄²×D₈₉	—	2	4	no	—
309	C₄²×D₈₉	—	4	2	no	—
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#15667919	C₂³	1	1	yes	characteristic
333	#15667919	C₂³	1	1	yes	characteristic
334	#15667919	C₂³	1	1	yes	characteristic
335	#15667919	C₂³	1	1	yes	characteristic
336	#15667919	C₂³	1	1	yes	characteristic
337	#15667919	C₂³	1	1	yes	characteristic
338	#15667919	C₂³	1	1	yes	characteristic
339	#15667919	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₄×D₄×C₈₉	C₂×C₄	1	8	yes	complemented
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	#95×C₈₉	C₂³	1	1	yes	characteristic
363	#95×C₈₉	C₂³	1	1	yes	characteristic
364	#95×C₈₉	C₂³	1	1	yes	characteristic
365	#95×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	C₂³×D₈₉	—	2	2	no	—
377	C₂³×D₈₉	—	2	2	no	—
378	C₂³×D₈₉	—	2	2	no	—
379	C₂³×D₈₉	—	2	2	no	—
380	C₂³×D₈₉	—	4	1	no	—
381	C₂³×D₈₉	—	4	1	no	—
382	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
383	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
384	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₇₈	—	4	1	no	—
386	C₂×Dic₁₇₈	—	4	1	no	—
387	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	complemented
388	C₂×C₂²⋊D₈₉	—	2	2	no	—
389	C₂×C₂²⋊D₈₉	—	2	2	no	—
390	C₂×C₂²⋊D₈₉	—	4	1	no	—
391	C₂×C₂²⋊D₈₉	—	4	1	no	—
392	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
393	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
394	C₂²×Dic₈₉	—	2	2	no	—
395	C₂²×Dic₈₉	—	2	2	no	—
396	C₂²×Dic₈₉	—	2	2	no	—
397	C₂²×Dic₈₉	—	2	2	no	—
398	C₂²×Dic₈₉	—	2	2	no	—
399	C₂²×Dic₈₉	—	2	2	no	—
400	C₂²×Dic₈₉	—	2	2	no	—
401	C₂²×Dic₈₉	—	2	2	no	—
402	C₂²×Dic₈₉	—	2	2	no	—
403	C₂²×Dic₈₉	—	2	2	no	—
404	C₂²×Dic₈₉	—	2	2	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
408	C₂²×Dic₈₉	#41	1	4	yes	—
409	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×D₈₉	—	2	2	no	—
424	C₂×C₄×D₈₉	—	2	2	no	—
425	C₂×C₄×D₈₉	—	2	2	no	—
426	C₂×C₄×D₈₉	—	2	2	no	—
427	C₂×C₄×D₈₉	—	2	2	no	—
428	C₂×C₄×D₈₉	—	2	2	no	—
429	C₂×C₄×D₈₉	—	2	2	no	—
430	C₂×C₄×D₈₉	—	2	2	no	—
431	C₂×C₄×D₈₉	—	2	2	no	—
432	C₂×C₄×D₈₉	—	2	2	no	—
433	C₂×C₄×D₈₉	—	2	2	no	—
434	C₂×C₄×D₈₉	—	2	2	no	—
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	4	16	no	—
439	C₂×C₄×D₈₉	—	4	1	no	—
440	C₂×C₄×D₈₉	—	4	1	no	—
441	C₂×C₄×D₈₉	—	4	1	no	—
442	C₂×C₄×D₈₉	—	4	1	no	—
443	C₂×C₄×D₈₉	—	4	1	no	—
444	C₂×C₄×D₈₉	—	4	1	no	—
445	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
446	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
447	C₂×C₄×D₈₉	#41	1	4	yes	—
448	C₄⋊Dic₈₉	—	2	2	no	—
449	C₄⋊Dic₈₉	—	2	2	no	—
450	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
451	#13083553	—	2	2	no	—
452	#13083553	—	2	2	no	—
453	#13083553	—	2	2	no	—
454	#13083553	—	2	2	no	—
455	#13083553	—	2	2	no	—
456	#13083553	—	2	2	no	—
457	#13083553	—	4	1	no	—
458	#13083553	—	4	1	no	—
459	#13083553	—	4	1	no	—
460	#13083553	—	4	1	no	—
461	#13083553	C₂²×C₄	1	4	yes	complemented
462	#13083553	C₂²×C₄	1	4	yes	complemented
463	#13083553	C₂²×C₄	1	4	yes	complemented
464	#13083553	C₂²×C₄	1	4	yes	complemented
465	#13083553	C₂²×C₄	1	4	yes	complemented
466	#13083553	C₂²×C₄	1	4	yes	complemented
467	C₂²⋊Dic₈₉	—	2	2	no	—
468	C₂²⋊Dic₈₉	—	2	2	no	—
469	C₂²⋊Dic₈₉	—	2	2	no	—
470	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
471	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
472	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
473	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
474	C₂²⋊Dic₈₉	#41	1	4	yes	—
475	#13083551	—	2	2	no	—
476	#13083551	—	2	2	no	—
477	#13083551	—	2	2	no	—
478	#13083551	—	2	2	no	—
479	#13083551	—	2	2	no	—
480	#13083551	—	2	2	no	—
481	#13083551	—	2	2	no	—
482	#13083551	—	4	1	no	—
483	#13083551	—	4	1	no	—
484	#13083551	C₂²×C₄	1	4	yes	—
485	#13083551	C₂²×C₄	1	4	yes	—
486	#13083551	C₂²×C₄	1	4	yes	—
487	#13083551	C₂²×C₄	1	4	yes	—
488	#13083551	C₂²×C₄	1	4	yes	—
489	#13083551	C₂²×C₄	1	4	yes	—
490	#13083551	C₂²×C₄	1	4	yes	—
491	#13083551	C₂²×C₄	1	4	yes	—
492	#13083551	#41	1	4	yes	—
493	C₄×Dic₈₉	—	2	2	no	—
494	C₄×Dic₈₉	—	2	2	no	—
495	C₄×Dic₈₉	—	2	2	no	—
496	C₄×Dic₈₉	—	2	2	no	—
497	C₄×Dic₈₉	—	2	2	no	—
498	C₄×Dic₈₉	—	2	2	no	—
499	C₄×Dic₈₉	—	2	2	no	—
500	C₄×Dic₈₉	—	2	2	no	—
501	C₄×Dic₈₉	—	2	2	no	—
502	C₄×Dic₈₉	—	2	2	no	—
503	C₄×Dic₈₉	—	2	2	no	—
504	C₄×Dic₈₉	—	2	2	no	—
505	C₄×Dic₈₉	—	2	2	no	—
506	C₄×Dic₈₉	—	2	2	no	—
507	C₄×Dic₈₉	—	2	2	no	—
508	C₄×Dic₈₉	—	2	2	no	—
509	C₄×Dic₈₉	—	2	2	no	—
510	C₄×Dic₈₉	—	2	2	no	—
511	C₄×Dic₈₉	—	2	2	no	—
512	C₄×Dic₈₉	—	4	1	no	—
513	C₄×Dic₈₉	—	4	1	no	—
514	C₄×Dic₈₉	—	4	1	no	—
515	C₄×Dic₈₉	—	4	1	no	—
516	C₄×Dic₈₉	—	4	1	no	—
517	C₄×Dic₈₉	—	4	1	no	—
518	C₄×Dic₈₉	—	4	1	no	—
519	C₄×Dic₈₉	C₂²×C₄	1	4	yes	complemented
520	C₄×Dic₈₉	C₂²×C₄	1	4	yes	complemented
521	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
522	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₈₉	—	2	2	no	—
524	C₂×D₄×C₈₉	—	2	2	no	—
525	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
526	C₂²×C₄×C₈₉	—	2	2	no	—
527	C₂²×C₄×C₈₉	—	2	2	no	—
528	C₂²×C₄×C₈₉	—	2	2	no	—
529	C₂²×C₄×C₈₉	—	2	2	no	—
530	C₂²×C₄×C₈₉	—	4	1	no	—
531	C₂²×C₄×C₈₉	—	4	1	no	—
532	C₂²×C₄×C₈₉	—	4	1	no	—
533	C₂²×C₄×C₈₉	—	4	1	no	—
534	C₂²×C₄×C₈₉	—	4	1	no	—
535	C₂²×C₄×C₈₉	—	4	1	no	—
536	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	—
537	C₂²×C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
538	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	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	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₄⋊C₄×C₈₉	—	4	1	no	—
552	C₄⋊C₄×C₈₉	—	4	1	no	—
553	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
554	C₂²⋊C₄×C₈₉	—	2	2	no	—
555	C₂²⋊C₄×C₈₉	—	2	2	no	—
556	C₂²⋊C₄×C₈₉	—	2	2	no	—
557	C₂²⋊C₄×C₈₉	—	2	2	no	—
558	C₂²⋊C₄×C₈₉	—	4	1	no	—
559	C₂²⋊C₄×C₈₉	—	4	1	no	—
560	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
561	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
562	C₄²×C₈₉	—	2	2	no	—
563	C₄²×C₈₉	—	2	2	no	—
564	C₄²×C₈₉	—	4	1	no	—
565	C₄²×C₈₉	—	4	1	no	—
566	C₄²×C₈₉	C₂²×C₄	1	4	yes	complemented
567	C₂³×C₈₉	—	2	1	no	—
568	C₂³×C₈₉	—	2	1	no	—
569	C₂³×C₈₉	—	2	1	no	—
570	C₂³×C₈₉	—	2	1	no	—
571	C₂³×C₈₉	—	2	1	no	—
572	C₂³×C₈₉	—	2	1	no	—
573	C₂³×C₈₉	—	2	1	no	—
574	C₂³×C₈₉	—	2	1	no	—
575	C₂³×C₈₉	—	2	1	no	—
576	C₂³×C₈₉	—	2	1	no	—
577	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
578	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
579	C₂³×C₈₉	C₂×#41	1	2	yes	—
580	C₂³×C₈₉	C₂×#41	1	2	yes	—
581	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
582	C₂²×D₈₉	—	2	1	no	—
583	C₂²×D₈₉	—	2	1	no	—
584	C₂²×D₈₉	—	2	1	no	—
585	C₂²×D₈₉	—	2	1	no	—
586	C₂²×D₈₉	—	2	8	no	—
587	C₂²×D₈₉	—	2	1	no	—
588	C₂²×D₈₉	—	2	1	no	—
589	C₂²×D₈₉	—	2	1	no	—
590	C₂²×D₈₉	—	2	1	no	—
591	C₂²×D₈₉	—	2	1	no	—
592	C₂²×D₈₉	—	2	1	no	—
593	C₂²×D₈₉	—	2	8	no	—
594	C₂²×D₈₉	—	4	4	no	—
595	C₂²×D₈₉	—	4	4	no	—
596	C₂²×D₈₉	—	4	4	no	—
597	C₂²×D₈₉	—	4	4	no	—
598	C₂²×D₈₉	—	4	4	no	—
599	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
600	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
601	C₂²×D₈₉	C₂×#41	1	2	yes	—
602	C₂²×D₈₉	C₂×#41	1	2	yes	—
603	D₄×C₈₉	—	2	8	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	2	1	no	—
612	C₂×C₄×C₈₉	—	2	1	no	—
613	C₂×C₄×C₈₉	—	2	1	no	—
614	C₂×C₄×C₈₉	—	2	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	4	4	no	—
637	C₂×C₄×C₈₉	—	4	4	no	—
638	C₂×C₄×C₈₉	—	4	4	no	—
639	C₂×C₄×C₈₉	—	4	4	no	—
640	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
642	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
643	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
644	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
645	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
646	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
647	C₂²⋊D₈₉	—	2	8	no	—
648	C₂²⋊D₈₉	—	4	4	no	—
649	C₂×Dic₈₉	—	2	8	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	2	1	no	—
660	C₂×Dic₈₉	—	2	1	no	—
661	C₂×Dic₈₉	—	2	1	no	—
662	C₂×Dic₈₉	—	2	1	no	—
663	C₂×Dic₈₉	—	2	1	no	—
664	C₂×Dic₈₉	—	2	1	no	—
665	C₂×Dic₈₉	—	2	1	no	—
666	C₂×Dic₈₉	—	2	1	no	—
667	C₂×Dic₈₉	—	2	1	no	—
668	C₂×Dic₈₉	—	2	1	no	—
669	C₂×Dic₈₉	—	2	1	no	—
670	C₂×Dic₈₉	—	2	8	no	—
671	C₂×Dic₈₉	—	2	1	no	—
672	C₂×Dic₈₉	—	2	1	no	—
673	C₂×Dic₈₉	—	2	1	no	—
674	C₂×Dic₈₉	—	2	1	no	—
675	C₂×Dic₈₉	—	2	1	no	—
676	C₂×Dic₈₉	—	2	1	no	—
677	C₂×Dic₈₉	—	2	1	no	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	4	4	no	—
681	C₂×Dic₈₉	—	4	4	no	—
682	C₂×Dic₈₉	—	4	4	no	—
683	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
684	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
685	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
686	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
687	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
688	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
689	C₂×Dic₈₉	C₂×#41	1	2	yes	—
690	C₂×Dic₈₉	C₂×#41	1	2	yes	—
691	C₂×Dic₈₉	C₂×#41	1	2	yes	—
692	C₂×Dic₈₉	C₂×#41	1	2	yes	—
693	C₂×Dic₈₉	C₂×#41	1	2	yes	—
694	C₂×Dic₈₉	C₂×#41	1	2	yes	—
695	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
696	C₄×D₈₉	—	2	8	no	—
697	C₄×D₈₉	—	2	8	no	—
698	C₄×D₈₉	—	4	4	no	—
699	C₄×D₈₉	—	4	4	no	—
700	C₄×D₈₉	—	4	4	no	—
701	C₄×D₈₉	—	4	4	no	—
702	C₄×D₈₉	—	4	4	no	—
703	C₄×D₈₉	—	4	4	no	—
704	Dic₁₇₈	—	4	4	no	—
705	C₂²×C₈₉	—	2	2	no	—
706	C₂²×C₈₉	—	2	2	no	—
707	C₂²×C₈₉	—	2	2	no	—
708	C₂²×C₈₉	—	2	2	no	—
709	C₂²×C₈₉	—	2	2	no	—
710	C₂²×C₈₉	—	2	2	no	—
711	C₂²×C₈₉	—	2	2	no	—
712	C₂²×C₈₉	—	2	2	no	—
713	C₂²×C₈₉	—	2	2	no	—
714	C₂²×C₈₉	—	4	1	no	—
715	C₂²×C₈₉	—	4	1	no	—
716	C₂²×C₈₉	—	4	1	no	—
717	C₂²×C₈₉	—	4	1	no	—
718	C₂²×C₈₉	C₄×#41	1	4	yes	—
719	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
720	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
721	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
722	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
723	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
724	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
725	C₂²×C₈₉	#585	1	1	yes	characteristic
726	C₂×D₈₉	—	2	2	no	—
727	C₂×D₈₉	—	2	2	no	—
728	C₂×D₈₉	—	2	2	no	—
729	C₂×D₈₉	—	2	2	no	—
730	C₂×D₈₉	—	2	2	no	—
731	C₂×D₈₉	—	2	2	no	—
732	C₂×D₈₉	—	2	2	no	—
733	C₂×D₈₉	—	2	2	no	—
734	C₂×D₈₉	—	2	2	no	—
735	C₂×D₈₉	—	4	16	no	—
736	C₂×D₈₉	—	4	1	no	—
737	C₂×D₈₉	—	4	1	no	—
738	C₂×D₈₉	—	4	1	no	—
739	C₂×D₈₉	—	4	1	no	—
740	C₂×D₈₉	C₄×#41	1	4	yes	—
741	C₄×C₈₉	—	2	2	no	—
742	C₄×C₈₉	—	2	2	no	—
743	C₄×C₈₉	—	2	2	no	—
744	C₄×C₈₉	—	2	2	no	—
745	C₄×C₈₉	—	2	2	no	—
746	C₄×C₈₉	—	2	2	no	—
747	C₄×C₈₉	—	2	2	no	—
748	C₄×C₈₉	—	4	1	no	—
749	C₄×C₈₉	—	4	1	no	—
750	C₄×C₈₉	—	4	1	no	—
751	C₄×C₈₉	—	4	1	no	—
752	C₄×C₈₉	—	4	1	no	—
753	C₄×C₈₉	—	4	1	no	—
754	Dic₈₉	—	2	2	no	—
755	Dic₈₉	—	2	2	no	—
756	Dic₈₉	—	2	2	no	—
757	Dic₈₉	—	2	2	no	—
758	Dic₈₉	—	2	2	no	—
759	Dic₈₉	—	2	2	no	—
760	Dic₈₉	—	2	2	no	—
761	Dic₈₉	—	2	2	no	—
762	Dic₈₉	—	2	2	no	—
763	Dic₈₉	—	2	2	no	—
764	Dic₈₉	—	4	1	no	—
765	Dic₈₉	—	4	1	no	—
766	Dic₈₉	—	4	1	no	—
767	Dic₈₉	#551	1	4	yes	complemented
768	C₄×#551	—	89	1	no	maximal, Sylow
769	C₂×C₈₉	—	2	4	no	—
770	C₂×C₈₉	—	4	2	no	—
771	C₂×C₈₉	C₂×C₄×#41	1	1	yes	characteristic
772	C₂×C₈₉	C₂×C₄×#41	1	1	yes	characteristic
773	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂×C₈₉	C₂×#551	1	1	yes	characteristic
775	C₂×C₈₉	#3475	1	1	yes	characteristic
776	C₂×C₈₉	#3475	1	1	yes	characteristic
777	C₂×C₈₉	#3481	1	1	yes	characteristic
778	D₈₉	—	2	4	no	—
779	D₈₉	—	4	2	no	—
780	C₂×#551	—	89	1	no	—
781	#2374	—	89	1	no	—
782	#2373	—	89	1	no	—
783	#2373	—	89	1	no	—
784	#2372	—	89	1	no	—
785	#2368	—	89	1	no	—
786	#2368	—	89	1	no	—
787	#2359	—	89	1	no	—
788	#2359	—	89	1	no	—
789	#2358	—	89	1	no	—
790	#2353	—	89	1	no	—
791	#2353	D₈₉	1	1	yes	characteristic, complemented
792	#2343	—	89	1	no	—
793	#2343	—	89	1	no	—
794	#2342	—	89	1	no	—
795	#2342	—	89	1	no	—
796	C₄×#126	—	89	1	no	—
797	C₄×#126	—	89	1	no	—
798	C₄×#124	—	89	1	no	—
799	C₄×C₂²⋊Q₈	—	89	1	no	—
800	C₄×C₂²⋊Q₈	—	89	1	no	—
801	C₄×#123	—	89	1	no	—
802	C₄×#123	—	89	1	no	—
803	C₄×#123	—	89	1	no	—
804	C₄×#120	—	89	1	no	—
805	C₄²×D₄	—	89	1	no	—
806	C₄²×D₄	—	89	1	no	—
807	C₄×#117	—	89	1	no	—
808	C₄×#117	—	89	1	no	—
809	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
810	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
811	C₈₉	C₄×#551	1	1	yes	characteristic, complemented, Sylow
812	C₂⁴×C₄	—	89	1	no	—
813	#551	—	89	16	no	—
814	C₂×#126	—	89	1	no	—
815	C₂×#126	—	89	1	no	—
816	C₂×#124	—	89	1	no	—
817	C₂×#123	—	89	1	no	—
818	C₂×#123	—	89	1	no	—
819	C₂×#123	—	89	1	no	—
820	C₂×C₂²⋊Q₈	—	89	1	no	—
821	C₂×C₂²⋊Q₈	—	89	1	no	—
822	C₂×#120	—	89	1	no	—
823	C₂×C₄×Q₈	—	89	1	no	—
824	C₂×C₄×D₄	—	89	1	no	—
825	C₂×C₄×D₄	—	89	1	no	—
826	C₂×C₄×D₄	—	89	1	no	—
827	C₂×C₄×D₄	—	89	1	no	—
828	C₂×C₄×D₄	—	89	1	no	—
829	C₂×C₄×D₄	—	89	1	no	—
830	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
831	C₂×#117	—	89	1	no	—
832	C₂×#117	—	89	1	no	—
833	C₂×#117	—	89	1	no	—
834	C₂×#117	—	89	1	no	—
835	C₂²×C₂²⋊C₄	—	89	1	no	—
836	C₂²×C₂²⋊C₄	—	89	1	no	—
837	C₂²×C₂²⋊C₄	—	89	1	no	—
838	C₂²×C₂²⋊C₄	—	89	1	no	—
839	C₂²×C₄²	—	89	1	no	—
840	C₂²×C₄²	—	89	1	no	—
841	C₂²×C₄²	—	89	1	no	—
842	C₂²×C₄²	—	89	1	no	—
843	C₂²×C₄²	—	89	1	no	—
844	#391	—	89	1	no	—
845	#391	—	89	1	no	—
846	#391	—	89	1	no	—
847	#390	—	89	1	no	—
848	#389	—	89	1	no	—
849	#389	—	89	1	no	—
850	#388	—	89	1	no	—
851	#388	—	89	1	no	—
852	#388	—	89	1	no	—
853	#388	—	89	1	no	—
854	#388	—	89	1	no	—
855	#388	—	89	1	no	—
856	#388	—	89	1	no	—
857	#388	—	89	1	no	—
858	#388	—	89	1	no	—
859	#388	—	89	1	no	—
860	#388	—	89	1	no	—
861	#388	—	89	1	no	—
862	#388	—	89	1	no	—
863	#388	—	89	1	no	—
864	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
865	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
866	#387	—	89	1	no	—
867	#387	—	89	1	no	—
868	#387	—	89	1	no	—
869	#387	—	89	1	no	—
870	#387	—	89	1	no	—
871	#387	—	89	1	no	—
872	#387	—	89	1	no	—
873	#387	—	89	1	no	—
874	#387	—	89	1	no	—
875	#387	—	89	1	no	—
876	#387	—	89	1	no	—
877	#387	—	89	1	no	—
878	#387	—	89	1	no	—
879	#387	—	89	1	no	—
880	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
881	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
882	#386	—	89	1	no	—
883	#386	—	89	1	no	—
884	#386	—	89	1	no	—
885	#386	—	89	1	no	—
886	#386	C₂×D₈₉	1	1	yes	characteristic
887	#386	C₂×D₈₉	1	1	yes	characteristic
888	#385	—	89	1	no	—
889	#385	—	89	1	no	—
890	#385	—	89	1	no	—
891	#385	—	89	1	no	—
892	#385	—	89	1	no	—
893	#385	—	89	1	no	—
894	#385	—	89	1	no	—
895	#385	—	89	1	no	—
896	#385	—	89	1	no	—
897	#385	—	89	1	no	—
898	#383	—	89	1	no	—
899	#383	C₂×D₈₉	1	1	yes	characteristic, complemented
900	#382	—	89	1	no	—
901	#381	—	89	1	no	—
902	#381	—	89	1	no	—
903	#381	C₂×D₈₉	1	1	yes	characteristic, complemented
904	#380	—	89	1	no	—
905	#380	C₂×D₈₉	1	1	yes	characteristic
906	#379	—	89	1	no	—
907	C₄×C₄⋊C₄	—	89	1	no	—
908	C₄×C₄⋊C₄	—	89	1	no	—
909	C₄×C₄⋊C₄	—	89	1	no	—
910	C₄×C₄⋊C₄	—	89	1	no	—
911	C₄×C₄⋊C₄	—	89	1	no	—
912	C₄×C₄⋊C₄	—	89	1	no	—
913	C₄×C₄⋊C₄	—	89	1	no	—
914	C₄×C₄⋊C₄	—	89	1	no	—
915	C₄×C₄⋊C₄	—	89	1	no	—
916	C₄×C₄⋊C₄	—	89	1	no	—
917	C₄×C₄⋊C₄	—	89	1	no	—
918	C₄×C₄⋊C₄	—	89	1	no	—
919	C₄×C₄⋊C₄	—	89	1	no	—
920	C₄×C₄⋊C₄	—	89	1	no	—
921	C₄×C₄⋊C₄	—	89	1	no	—
922	C₄×C₄⋊C₄	—	89	1	no	—
923	C₄×C₂²⋊C₄	—	89	1	no	—
924	C₄×C₂²⋊C₄	—	89	1	no	—
925	C₄×C₂²⋊C₄	—	89	1	no	—
926	C₄×C₂²⋊C₄	—	89	1	no	—
927	C₄×C₂²⋊C₄	—	89	1	no	—
928	C₄×C₂²⋊C₄	—	89	1	no	—
929	C₄×C₂²⋊C₄	—	89	1	no	—
930	C₄×C₂²⋊C₄	—	89	1	no	—
931	C₄×C₂²⋊C₄	—	89	1	no	—
932	C₄×C₂²⋊C₄	—	89	1	no	—
933	C₄×C₂²⋊C₄	—	89	1	no	—
934	C₄×C₂²⋊C₄	—	89	1	no	—
935	C₄×C₂²⋊C₄	—	89	1	no	—
936	C₄×C₂²⋊C₄	—	89	1	no	—
937	C₄×C₂²⋊C₄	—	89	1	no	—
938	C₄×C₂²⋊C₄	—	89	1	no	—
939	C₄×C₂²⋊C₄	—	89	1	no	—
940	C₄×C₂²⋊C₄	—	89	1	no	—
941	C₄×C₂²⋊C₄	—	89	1	no	—
942	C₄×C₂²⋊C₄	—	89	1	no	—
943	C₄×C₂²⋊C₄	—	89	1	no	—
944	C₄×C₂²⋊C₄	—	89	1	no	—
945	C₄×C₂²⋊C₄	—	89	1	no	—
946	C₄×C₂²⋊C₄	—	89	1	no	—
947	C₄×C₂²⋊C₄	—	89	1	no	—
948	C₄×C₂²⋊C₄	—	89	1	no	—
949	C₄×C₂²⋊C₄	—	89	1	no	—
950	C₄×C₂²⋊C₄	—	89	1	no	—
951	C₄×C₂²⋊C₄	—	89	1	no	—
952	C₄×C₂²⋊C₄	—	89	1	no	—
953	C₄×C₂²⋊C₄	—	89	1	no	—
954	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
955	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
956	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
957	#376	—	89	1	no	—
958	#376	—	89	1	no	—
959	#376	—	89	1	no	—
960	#376	C₂×D₈₉	1	1	yes	characteristic, complemented
961	C₂×#95	—	89	1	no	—
962	C₂×#95	—	89	1	no	—
963	C₂×#95	—	89	1	no	—
964	C₂×#95	C₂×D₈₉	1	1	yes	characteristic
965	C₄³	—	89	1	no	—
966	C₄³	—	89	1	no	—
967	C₄³	—	89	1	no	—
968	C₂⁵	—	89	1	no	—
969	C₂²×Q₈	—	89	1	no	—
970	C₂²×D₄	—	89	1	no	—
971	C₂²×D₄	—	89	1	no	—
972	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
973	C₂³×C₄	—	89	1	no	—
974	C₂³×C₄	—	89	1	no	—
975	C₂³×C₄	—	89	1	no	—
976	C₂³×C₄	—	89	1	no	—
977	C₂³×C₄	—	89	1	no	—
978	C₂³×C₄	—	89	1	no	—
979	C₂³×C₄	—	89	1	no	—
980	C₂³×C₄	—	89	1	no	—
981	C₂³×C₄	—	89	1	no	—
982	C₂³×C₄	—	89	1	no	—
983	C₂³×C₄	—	89	1	no	—
984	C₂³×C₄	—	89	1	no	—
985	C₂³×C₄	—	89	1	no	—
986	C₂³×C₄	—	356	2	no	—
987	C₂³×C₄	—	178	4	no	—
988	C₂³×C₄	—	178	4	no	—
989	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
990	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
991	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
992	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
993	#126	—	89	8	no	—
994	#126	—	89	8	no	—
995	#124	—	89	8	no	—
996	#123	—	89	8	no	—
997	#123	—	89	8	no	—
998	#123	—	89	8	no	—
999	C₂²⋊Q₈	—	89	8	no	—
1000	C₂²⋊Q₈	—	89	8	no	—
1001	#120	—	89	8	no	—
1002	C₄×Q₈	—	356	2	no	—
1003	C₄×D₄	—	89	8	no	—
1004	C₄×D₄	—	356	2	no	—
1005	C₄×D₄	—	178	4	no	—
1006	C₄×D₄	—	178	4	no	—
1007	C₄×D₄	—	178	4	no	—
1008	C₄×D₄	—	178	4	no	—
1009	C₄×D₄	C₄×D₈₉	1	8	yes	complemented
1010	#117	—	89	8	no	—
1011	#117	—	89	8	no	—
1012	#117	—	178	4	no	—
1013	#117	—	178	4	no	—
1014	C₂×C₄⋊C₄	—	89	1	no	—
1015	C₂×C₄⋊C₄	—	89	1	no	—
1016	C₂×C₄⋊C₄	—	89	1	no	—
1017	C₂×C₄⋊C₄	—	89	1	no	—
1018	C₂×C₄⋊C₄	—	89	1	no	—
1019	C₂×C₄⋊C₄	—	89	1	no	—
1020	C₂×C₄⋊C₄	—	89	1	no	—
1021	C₂×C₄⋊C₄	—	89	1	no	—
1022	C₂×C₄⋊C₄	—	89	1	no	—
1023	C₂×C₄⋊C₄	—	89	1	no	—
1024	C₂×C₄⋊C₄	—	89	1	no	—
1025	C₂×C₄⋊C₄	—	89	1	no	—
1026	C₂×C₄⋊C₄	—	89	1	no	—
1027	C₂×C₄⋊C₄	—	89	1	no	—
1028	C₂×C₄⋊C₄	—	89	1	no	—
1029	C₂×C₄⋊C₄	—	89	1	no	—
1030	C₂×C₄⋊C₄	—	89	1	no	—
1031	C₂×C₄⋊C₄	—	89	1	no	—
1032	C₂×C₄⋊C₄	—	89	1	no	—
1033	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	—	89	1	no	—
1037	C₂×C₂²⋊C₄	—	89	1	no	—
1038	C₂×C₂²⋊C₄	—	89	1	no	—
1039	C₂×C₂²⋊C₄	—	89	1	no	—
1040	C₂×C₂²⋊C₄	—	89	1	no	—
1041	C₂×C₂²⋊C₄	—	89	8	no	—
1042	C₂×C₂²⋊C₄	—	89	1	no	—
1043	C₂×C₂²⋊C₄	—	89	1	no	—
1044	C₂×C₂²⋊C₄	—	89	1	no	—
1045	C₂×C₂²⋊C₄	—	89	1	no	—
1046	C₂×C₂²⋊C₄	—	89	1	no	—
1047	C₂×C₂²⋊C₄	—	89	1	no	—
1048	C₂×C₂²⋊C₄	—	89	1	no	—
1049	C₂×C₂²⋊C₄	—	89	1	no	—
1050	C₂×C₂²⋊C₄	—	89	1	no	—
1051	C₂×C₂²⋊C₄	—	89	8	no	—
1052	C₂×C₂²⋊C₄	—	89	1	no	—
1053	C₂×C₂²⋊C₄	—	89	1	no	—
1054	C₂×C₂²⋊C₄	—	89	1	no	—
1055	C₂×C₂²⋊C₄	—	89	1	no	—
1056	C₂×C₂²⋊C₄	—	89	1	no	—
1057	C₂×C₂²⋊C₄	—	89	1	no	—
1058	C₂×C₂²⋊C₄	—	89	1	no	—
1059	C₂×C₂²⋊C₄	—	89	1	no	—
1060	C₂×C₂²⋊C₄	—	89	1	no	—
1061	C₂×C₂²⋊C₄	—	89	1	no	—
1062	C₂×C₂²⋊C₄	—	89	1	no	—
1063	C₂×C₂²⋊C₄	—	89	1	no	—
1064	C₂×C₂²⋊C₄	—	178	4	no	—
1065	C₂×C₂²⋊C₄	—	178	4	no	—
1066	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1074	C₂×C₄²	—	89	1	no	—
1075	C₂×C₄²	—	89	1	no	—
1076	C₂×C₄²	—	89	1	no	—
1077	C₂×C₄²	—	89	1	no	—
1078	C₂×C₄²	—	89	1	no	—
1079	C₂×C₄²	—	89	1	no	—
1080	C₂×C₄²	—	89	1	no	—
1081	C₂×C₄²	—	89	1	no	—
1082	C₂×C₄²	—	89	1	no	—
1083	C₂×C₄²	—	89	1	no	—
1084	C₂×C₄²	—	89	1	no	—
1085	C₂×C₄²	—	89	1	no	—
1086	C₂×C₄²	—	89	1	no	—
1087	C₂×C₄²	—	89	1	no	—
1088	C₂×C₄²	—	89	1	no	—
1089	C₂×C₄²	—	89	1	no	—
1090	C₂×C₄²	—	89	1	no	—
1091	C₂×C₄²	—	89	1	no	—
1092	C₂×C₄²	—	89	1	no	—
1093	C₂×C₄²	—	89	1	no	—
1094	C₂×C₄²	—	89	1	no	—
1095	C₂×C₄²	—	89	1	no	—
1096	C₂×C₄²	—	89	1	no	—
1097	C₂×C₄²	—	89	1	no	—
1098	C₂×C₄²	—	89	1	no	—
1099	C₂×C₄²	—	89	1	no	—
1100	C₂×C₄²	—	89	1	no	—
1101	C₂×C₄²	—	89	1	no	—
1102	C₂×C₄²	—	356	2	no	—
1103	C₂×C₄²	—	356	2	no	—
1104	C₂×C₄²	—	356	2	no	—
1105	C₂×C₄²	—	178	4	no	—
1106	C₂×C₄²	—	178	4	no	—
1107	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1108	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1109	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1110	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1111	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1112	#95	—	89	1	no	—
1113	#95	—	89	1	no	—
1114	#95	—	89	1	no	—
1115	#95	—	89	1	no	—
1116	#95	—	89	1	no	—
1117	#95	—	89	1	no	—
1118	#95	—	89	1	no	—
1119	#95	—	89	1	no	—
1120	#95	—	89	1	no	—
1121	#95	—	89	1	no	—
1122	#95	—	89	1	no	—
1123	#95	—	89	1	no	—
1124	#95	—	89	1	no	—
1125	#95	—	89	1	no	—
1126	#95	—	89	1	no	—
1127	#95	—	89	1	no	—
1128	#95	—	89	1	no	—
1129	#95	—	89	1	no	—
1130	#95	—	89	1	no	—
1131	#95	—	89	1	no	—
1132	#95	—	89	1	no	—
1133	#95	—	89	1	no	—
1134	#95	—	89	1	no	—
1135	#95	—	89	1	no	—
1136	#95	—	89	1	no	—
1137	#95	—	89	1	no	—
1138	#95	—	89	1	no	—
1139	#95	—	89	1	no	—
1140	#95	—	89	1	no	—
1141	#95	—	89	1	no	—
1142	#95	C₂²×D₈₉	1	1	yes	characteristic
1143	#95	C₂²×D₈₉	1	1	yes	characteristic
1144	#95	C₂²×D₈₉	1	1	yes	characteristic
1145	#95	C₂²×D₈₉	1	1	yes	characteristic
1146	#95	C₂²×D₈₉	1	1	yes	characteristic
1147	#95	C₂²×D₈₉	1	1	yes	characteristic
1148	#95	C₂²×D₈₉	1	1	yes	characteristic
1149	#95	C₂²×D₈₉	1	1	yes	characteristic
1150	#95	C₂²×D₈₉	1	1	yes	characteristic
1151	#95	C₂²×D₈₉	1	1	yes	characteristic
1152	#95	C₂²×D₈₉	1	1	yes	characteristic
1153	#95	C₂²×D₈₉	1	1	yes	characteristic
1154	#95	C₂²×D₈₉	1	1	yes	characteristic
1155	#95	C₂²×D₈₉	1	1	yes	characteristic
1156	C₂⁴	—	89	1	no	—
1157	C₂⁴	—	89	4	no	—
1158	C₂⁴	—	89	1	no	—
1159	C₂⁴	—	356	1	no	—
1160	C₂⁴	—	356	1	no	—
1161	C₂⁴	—	178	2	no	—
1162	C₂⁴	—	178	2	no	—
1163	C₂⁴	—	178	2	no	—
1164	C₂⁴	—	178	2	no	—
1165	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1167	C₂×Q₈	—	89	4	no	—
1168	C₂×Q₈	—	356	1	no	—
1169	C₂×Q₈	—	356	1	no	—
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	89	4	no	—
1173	C₂×D₄	—	89	4	no	—
1174	C₂×D₄	—	356	1	no	—
1175	C₂×D₄	—	356	1	no	—
1176	C₂×D₄	—	178	2	no	—
1177	C₂×D₄	—	178	2	no	—
1178	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	89	1	no	—
1190	C₂²×C₄	—	89	4	no	—
1191	C₂²×C₄	—	89	4	no	—
1192	C₂²×C₄	—	89	1	no	—
1193	C₂²×C₄	—	89	1	no	—
1194	C₂²×C₄	—	89	1	no	—
1195	C₂²×C₄	—	89	1	no	—
1196	C₂²×C₄	—	89	1	no	—
1197	C₂²×C₄	—	89	1	no	—
1198	C₂²×C₄	—	89	1	no	—
1199	C₂²×C₄	—	89	1	no	—
1200	C₂²×C₄	—	89	1	no	—
1201	C₂²×C₄	—	89	1	no	—
1202	C₂²×C₄	—	89	4	no	—
1203	C₂²×C₄	—	89	4	no	—
1204	C₂²×C₄	—	89	4	no	—
1205	C₂²×C₄	—	89	1	no	—
1206	C₂²×C₄	—	89	1	no	—
1207	C₂²×C₄	—	89	1	no	—
1208	C₂²×C₄	—	356	1	no	—
1209	C₂²×C₄	—	356	1	no	—
1210	C₂²×C₄	—	356	1	no	—
1211	C₂²×C₄	—	356	1	no	—
1212	C₂²×C₄	—	356	1	no	—
1213	C₂²×C₄	—	356	1	no	—
1214	C₂²×C₄	—	356	16	no	—
1215	C₂²×C₄	—	356	1	no	—
1216	C₂²×C₄	—	356	1	no	—
1217	C₂²×C₄	—	178	2	no	—
1218	C₂²×C₄	—	178	2	no	—
1219	C₂²×C₄	—	178	2	no	—
1220	C₂²×C₄	—	178	2	no	—
1221	C₂²×C₄	—	178	2	no	—
1222	C₂²×C₄	—	178	2	no	—
1223	C₂²×C₄	—	178	2	no	—
1224	C₂²×C₄	—	178	2	no	—
1225	C₂²×C₄	—	178	2	no	—
1226	C₂²×C₄	—	178	2	no	—
1227	C₂²×C₄	—	178	2	no	—
1228	C₂²×C₄	—	178	2	no	—
1229	C₂²×C₄	—	178	2	no	—
1230	C₂²×C₄	—	178	2	no	—
1231	C₂²×C₄	—	178	2	no	—
1232	C₂²×C₄	—	178	2	no	—
1233	C₂²×C₄	—	178	2	no	—
1234	C₂²×C₄	—	178	2	no	—
1235	C₂²×C₄	—	178	2	no	—
1236	C₂²×C₄	—	178	2	no	—
1237	C₂²×C₄	—	178	2	no	—
1238	C₂²×C₄	—	178	2	no	—
1239	C₂²×C₄	—	178	2	no	—
1240	C₂²×C₄	—	178	2	no	—
1241	C₂²×C₄	—	178	2	no	—
1242	C₂²×C₄	—	178	2	no	—
1243	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1244	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1245	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	89	4	no	—
1261	C₄⋊C₄	—	89	4	no	—
1262	C₄⋊C₄	—	89	4	no	—
1263	C₄⋊C₄	—	89	4	no	—
1264	C₄⋊C₄	—	89	4	no	—
1265	C₄⋊C₄	—	89	4	no	—
1266	C₄⋊C₄	—	89	4	no	—
1267	C₄⋊C₄	—	356	1	no	—
1268	C₄⋊C₄	—	356	1	no	—
1269	C₄⋊C₄	—	356	1	no	—
1270	C₄⋊C₄	—	356	1	no	—
1271	C₄⋊C₄	—	178	2	no	—
1272	C₄⋊C₄	—	178	2	no	—
1273	C₄⋊C₄	—	178	2	no	—
1274	C₄⋊C₄	—	178	2	no	—
1275	C₄⋊C₄	—	178	2	no	—
1276	C₄⋊C₄	—	178	2	no	—
1277	C₄⋊C₄	—	178	2	no	—
1278	C₄⋊C₄	—	178	2	no	—
1279	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	89	4	no	—
1287	C₂²⋊C₄	—	89	4	no	—
1288	C₂²⋊C₄	—	89	4	no	—
1289	C₂²⋊C₄	—	89	4	no	—
1290	C₂²⋊C₄	—	89	4	no	—
1291	C₂²⋊C₄	—	89	4	no	—
1292	C₂²⋊C₄	—	89	4	no	—
1293	C₂²⋊C₄	—	89	4	no	—
1294	C₂²⋊C₄	—	89	4	no	—
1295	C₂²⋊C₄	—	89	4	no	—
1296	C₂²⋊C₄	—	89	4	no	—
1297	C₂²⋊C₄	—	89	4	no	—
1298	C₂²⋊C₄	—	89	4	no	—
1299	C₂²⋊C₄	—	89	4	no	—
1300	C₂²⋊C₄	—	356	1	no	—
1301	C₂²⋊C₄	—	356	1	no	—
1302	C₂²⋊C₄	—	178	2	no	—
1303	C₂²⋊C₄	—	178	2	no	—
1304	C₂²⋊C₄	—	178	2	no	—
1305	C₂²⋊C₄	—	178	2	no	—
1306	C₂²⋊C₄	—	178	2	no	—
1307	C₂²⋊C₄	—	178	2	no	—
1308	C₂²⋊C₄	—	178	2	no	—
1309	C₂²⋊C₄	—	178	2	no	—
1310	C₂²⋊C₄	—	178	2	no	—
1311	C₂²⋊C₄	—	178	2	no	—
1312	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1313	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1314	C₄²	—	2	2	no	—
1315	C₄²	—	2	2	no	—
1316	C₄²	—	4	1	no	—
1317	C₄²	—	4	1	no	—
1318	C₄²	—	89	4	no	—
1319	C₄²	—	89	4	no	—
1320	C₄²	—	356	1	no	—
1321	C₄²	—	356	1	no	—
1322	C₄²	—	356	1	no	—
1323	C₄²	—	356	1	no	—
1324	C₄²	—	356	1	no	—
1325	C₄²	—	356	1	no	—
1326	C₄²	—	356	1	no	—
1327	C₄²	—	178	2	no	—
1328	C₄²	—	178	2	no	—
1329	C₄²	—	178	2	no	—
1330	C₄²	—	178	2	no	—
1331	C₄²	—	178	2	no	—
1332	C₄²	—	178	2	no	—
1333	C₄²	—	178	2	no	—
1334	C₄²	—	178	2	no	—
1335	C₄²	—	178	2	no	—
1336	C₄²	—	178	2	no	—
1337	C₄²	—	178	2	no	—
1338	C₄²	—	178	2	no	—
1339	C₄²	—	178	2	no	—
1340	C₄²	—	178	2	no	—
1341	C₄²	—	178	2	no	—
1342	C₄²	—	178	2	no	—
1343	C₄²	—	178	2	no	—
1344	C₄²	—	178	2	no	—
1345	C₄²	—	178	2	no	—
1346	C₄²	C₂×C₄×D₈₉	1	4	yes	complemented
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	89	2	no	—
1358	C₂³	—	89	2	no	—
1359	C₂³	—	89	2	no	—
1360	C₂³	—	89	2	no	—
1361	C₂³	—	356	4	no	—
1362	C₂³	—	356	4	no	—
1363	C₂³	—	356	4	no	—
1364	C₂³	—	356	4	no	—
1365	C₂³	—	356	4	no	—
1366	C₂³	—	178	8	no	—
1367	C₂³	—	178	1	no	—
1368	C₂³	—	178	1	no	—
1369	C₂³	—	178	1	no	—
1370	C₂³	—	178	1	no	—
1371	C₂³	—	178	1	no	—
1372	C₂³	—	178	1	no	—
1373	C₂³	—	178	8	no	—
1374	C₂³	—	178	1	no	—
1375	C₂³	—	178	1	no	—
1376	C₂³	—	178	1	no	—
1377	C₂³	—	178	1	no	—
1378	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1379	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1380	C₂³	#41×D₈₉	1	2	yes	—
1381	C₂³	#41×D₈₉	1	2	yes	—
1382	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1383	Q₈	—	356	4	no	—
1384	D₄	—	2	8	no	—
1385	D₄	—	356	4	no	—
1386	D₄	—	178	8	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	4	4	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	89	2	no	—
1424	C₂×C₄	—	89	2	no	—
1425	C₂×C₄	—	89	2	no	—
1426	C₂×C₄	—	89	2	no	—
1427	C₂×C₄	—	89	2	no	—
1428	C₂×C₄	—	89	2	no	—
1429	C₂×C₄	—	89	2	no	—
1430	C₂×C₄	—	89	2	no	—
1431	C₂×C₄	—	89	2	no	—
1432	C₂×C₄	—	89	2	no	—
1433	C₂×C₄	—	89	2	no	—
1434	C₂×C₄	—	89	2	no	—
1435	C₂×C₄	—	89	2	no	—
1436	C₂×C₄	—	356	4	no	—
1437	C₂×C₄	—	356	4	no	—
1438	C₂×C₄	—	356	4	no	—
1439	C₂×C₄	—	356	4	no	—
1440	C₂×C₄	—	356	4	no	—
1441	C₂×C₄	—	356	4	no	—
1442	C₂×C₄	—	356	4	no	—
1443	C₂×C₄	—	356	4	no	—
1444	C₂×C₄	—	356	4	no	—
1445	C₂×C₄	—	178	8	no	—
1446	C₂×C₄	—	178	8	no	—
1447	C₂×C₄	—	178	8	no	—
1448	C₂×C₄	—	178	1	no	—
1449	C₂×C₄	—	178	1	no	—
1450	C₂×C₄	—	178	1	no	—
1451	C₂×C₄	—	178	1	no	—
1452	C₂×C₄	—	178	1	no	—
1453	C₂×C₄	—	178	1	no	—
1454	C₂×C₄	—	178	1	no	—
1455	C₂×C₄	—	178	1	no	—
1456	C₂×C₄	—	178	1	no	—
1457	C₂×C₄	—	178	1	no	—
1458	C₂×C₄	—	178	1	no	—
1459	C₂×C₄	—	178	1	no	—
1460	C₂×C₄	—	178	1	no	—
1461	C₂×C₄	—	178	1	no	—
1462	C₂×C₄	—	178	1	no	—
1463	C₂×C₄	—	178	1	no	—
1464	C₂×C₄	—	178	1	no	—
1465	C₂×C₄	—	178	1	no	—
1466	C₂×C₄	—	178	1	no	—
1467	C₂×C₄	—	178	1	no	—
1468	C₂×C₄	—	178	1	no	—
1469	C₂×C₄	—	178	1	no	—
1470	C₂×C₄	—	178	1	no	—
1471	C₂×C₄	—	178	1	no	—
1472	C₂×C₄	—	178	1	no	—
1473	C₂×C₄	—	178	1	no	—
1474	C₂×C₄	—	178	1	no	—
1475	C₂×C₄	—	178	1	no	—
1476	C₂×C₄	—	178	1	no	—
1477	C₂×C₄	—	178	8	no	—
1478	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1479	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1480	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1481	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1482	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1483	C₂×C₄	#41×D₈₉	1	2	yes	—
1484	C₂×C₄	#41×D₈₉	1	2	yes	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	89	4	no	—
1499	C₂²	—	356	16	no	—
1500	C₂²	—	356	1	no	—
1501	C₂²	—	356	1	no	—
1502	C₂²	—	356	1	no	—
1503	C₂²	—	356	1	no	—
1504	C₂²	—	178	2	no	—
1505	C₂²	—	178	2	no	—
1506	C₂²	—	178	2	no	—
1507	C₂²	—	178	2	no	—
1508	C₂²	—	178	2	no	—
1509	C₂²	—	178	2	no	—
1510	C₂²	—	178	2	no	—
1511	C₂²	—	178	2	no	—
1512	C₂²	—	178	2	no	—
1513	C₂²	#19152066	1	4	yes	—
1514	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1515	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1516	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1517	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1518	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1519	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1520	C₂²	#19152433	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	89	4	no	—
1535	C₄	—	356	1	no	—
1536	C₄	—	356	1	no	—
1537	C₄	—	356	1	no	—
1538	C₄	—	178	2	no	—
1539	C₄	—	178	2	no	—
1540	C₄	—	178	2	no	—
1541	C₄	—	178	2	no	—
1542	C₄	—	178	2	no	—
1543	C₄	—	178	2	no	—
1544	C₄	—	178	2	no	—
1545	C₄	—	178	2	no	—
1546	C₄	—	178	2	no	—
1547	C₄	—	178	2	no	—
1548	C₂	—	2	4	no	—
1549	C₂	—	4	2	no	—
1550	C₂	—	356	2	no	—
1551	C₂	—	178	4	no	—
1552	C₂	C₄×#41×D₈₉	1	1	yes	characteristic
1553	C₂	C₂×#19152066	1	1	yes	characteristic
1554	C₂	#26033456	1	1	yes	characteristic
1555	C₂	#551×D₈₉	1	1	yes	characteristic
1556	C₂	#26033807	1	1	yes	characteristic
1557	C₂	#26033811	1	1	yes	characteristic
1558	C₂	#26033859	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2353	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂×#15667980	C₂²
hypercenter	#2353	D₈₉
hypocenter	C₈₉	C₄×#551
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2353

Complements

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

N	H ≅ G/N	type
2. #26023383	C₂	semidirect
3. #26023378	C₂	semidirect
4. #26023372	C₂	semidirect
5. #26023359	C₂	semidirect
6. #26023332	C₂	semidirect
7. #26023329	C₂	semidirect
8. #26023250	C₂	semidirect
9. #26023241	C₂	semidirect
11. #26023189	C₂	semidirect
12. #26023109	C₂	semidirect
13. #26023106	C₂	semidirect
14. #26023098	C₂	semidirect
15. #26023095	C₂	semidirect
16. #26022802	C₂	semidirect
17. #26022800	C₂	semidirect
18. #26022793	C₂	semidirect
19. #26022786	C₂	semidirect
20. #26022780	C₂	semidirect
21. #26022779	C₂	semidirect
22. #26022777	C₂	semidirect
23. #26022769	C₂	semidirect
25. C₄×D₄×Dic₈₉	C₂	semidirect
26. C₄×#15667972	C₂	semidirect
27. #26022591	C₂	semidirect
28. C₄×#15667968	C₂	semidirect
29. C₂×#19151445	C₂	semidirect
30. C₄×C₂²⋊C₄×D₈₉	C₂	semidirect
31. C₈₉×#2353	C₂	semidirect
33. #19152277	C₄	semidirect
43. C₂×#15667977	C₂²	semidirect
60. C₂²×C₄×Dic₈₉	C₂²	semidirect
63. #19151503	C₂²	semidirect
64. #19151502	C₂²	semidirect
65. #19151502	C₂²	semidirect
67. #19151495	C₂²	semidirect
68. #19151494	C₂²	semidirect
69. #19151492	C₂²	semidirect
70. #19151492	C₂²	semidirect
71. #19151492	C₂²	semidirect
82. #19151486	C₂²	semidirect
83. #19151485	C₂²	semidirect
84. #19151485	C₂²	semidirect
85. #19151485	C₂²	semidirect
86. #19151483	C₂²	semidirect
87. #19151483	C₂²	semidirect
88. #19151482	C₂²	semidirect
89. #19151482	C₂²	semidirect
90. #19151480	C₂²	semidirect
91. #19151480	C₂²	semidirect
92. #19151480	C₂²	semidirect
93. #19151480	C₂²	semidirect
94. #19151480	C₂²	semidirect
95. #19151480	C₂²	semidirect
96. #19151480	C₂²	semidirect
108. #19151470	C₂²	semidirect
111. #19151465	C₂²	semidirect
112. #19151462	C₂²	semidirect
117. C₄⋊C₄×Dic₈₉	C₂²	semidirect
118. C₄⋊C₄×Dic₈₉	C₂²	semidirect
119. C₄⋊C₄×Dic₈₉	C₂²	semidirect
120. C₄×#13083553	C₂²	semidirect
121. C₄×#13083553	C₂²	semidirect
122. C₄×#13083553	C₂²	semidirect
123. C₄×C₄⋊Dic₈₉	C₂²	semidirect
124. #19151449	C₂²	semidirect
125. #19151449	C₂²	semidirect
126. #19151449	C₂²	semidirect
127. #19151449	C₂²	semidirect
128. #19151449	C₂²	semidirect
129. #19151449	C₂²	semidirect
130. #19151449	C₂²	semidirect
131. #19151449	C₂²	semidirect
132. #19151449	C₂²	semidirect
137. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
138. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
139. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
140. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
141. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
148. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
164. #19151444	C₂²	semidirect
165. #19151443	C₂²	semidirect
166. #19151443	C₂²	semidirect
170. C₄²×Dic₈₉	C₂²	semidirect
171. C₄²×Dic₈₉	C₂²	semidirect
172. C₄²×Dic₈₉	C₂²	semidirect
174. #388×C₈₉	C₂²	semidirect
175. #388×C₈₉	C₂²	semidirect
176. #387×C₈₉	C₂²	semidirect
177. #387×C₈₉	C₂²	semidirect
180. #383×C₈₉	C₂²	semidirect
181. #381×C₈₉	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
186. #376×C₈₉	C₂²	semidirect
208. #15668007	C₂×C₄	semidirect
209. #15668006	C₂×C₄	semidirect
210. #15667998	C₂×C₄	semidirect
211. #15667995	C₂×C₄	semidirect
212. #15667994	C₂×C₄	semidirect
213. #15667993	C₂×C₄	semidirect
214. #15667991	C₂×C₄	semidirect
215. #15667990	C₂×C₄	semidirect
220. C₄×C₂²⋊D₈₉	C₂×C₄	semidirect
225. #15667969	C₂×C₄	semidirect
227. #15667968	C₂×C₄	semidirect
256. C₂×#13083551	C₂×C₄	semidirect
276. C₂²⋊C₄×D₈₉	C₂×C₄	semidirect
345. C₄×D₄×C₈₉	C₂×C₄	semidirect
387. C₂×Dic₁₇₈	C₂²×C₄	semidirect
450. C₄⋊Dic₈₉	C₂²×C₄	semidirect
461. #13083553	C₂²×C₄	semidirect
462. #13083553	C₂²×C₄	semidirect
463. #13083553	C₂²×C₄	semidirect
464. #13083553	C₂²×C₄	semidirect
465. #13083553	C₂²×C₄	semidirect
466. #13083553	C₂²×C₄	semidirect
472. C₂²⋊Dic₈₉	C₂²×C₄	semidirect
473. C₂²⋊Dic₈₉	C₂²×C₄	semidirect
519. C₄×Dic₈₉	C₂²×C₄	semidirect
520. C₄×Dic₈₉	C₂²×C₄	semidirect
537. C₂²×C₄×C₈₉	C₂²×C₄	semidirect
553. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
561. C₂²⋊C₄×C₈₉	C₂²×C₄	semidirect
566. C₄²×C₈₉	C₂²×C₄	semidirect
767. Dic₈₉	#551	semidirect
791. #2353	D₈₉	semidirect
811. C₈₉	C₄×#551	semidirect
864. #388	C₂×D₈₉	semidirect
865. #388	C₂×D₈₉	semidirect
880. #387	C₂×D₈₉	semidirect
881. #387	C₂×D₈₉	semidirect
899. #383	C₂×D₈₉	semidirect
903. #381	C₂×D₈₉	semidirect
956. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect
960. #376	C₂×D₈₉	semidirect
1009. C₄×D₄	C₄×D₈₉	semidirect
1244. C₂²×C₄	C₂×C₄×D₈₉	semidirect
1279. C₄⋊C₄	C₂×C₄×D₈₉	semidirect
1313. C₂²⋊C₄	C₂×C₄×D₈₉	semidirect
1346. C₄²	C₂×C₄×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152277	2
#26023383	2
#26023378	2
#26023372	2
#26023359	2
#26023332	2
#26023329	2
#26023250	2
#26023241	2
#26023232	2
#26023189	2
#26023109	2
#26023106	2
#26023098	2
#26023095	2
#26022802	2
#26022800	2
#26022793	2
#26022786	2
#26022780	2
#26022779	2
#26022777	2
#26022769	2
#26022757	2
C₄×D₄×Dic₈₉	2
C₄×#15667972	2
#26022591	2
C₄×#15667968	2
C₂×#19151445	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2353	2
C₄×#551	89