Subgroups — #2653×D₈₉ #36720915

Order 22784.

2394 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26026322	C₂	1	1	yes	maximal, characteristic, complemented
2	#26026321	C₂	1	1	yes	maximal, characteristic, complemented
3	#26026320	C₂	1	1	yes	maximal, characteristic, complemented
4	#26026319	C₂	1	1	yes	maximal, characteristic, complemented
5	#26026318	C₂	1	1	yes	maximal, characteristic, complemented
6	#26026317	C₂	1	1	yes	maximal, characteristic, complemented
7	#26026316	C₂	1	1	yes	maximal, characteristic, complemented
8	#26026315	C₂	1	1	yes	maximal, characteristic, complemented
9	#26026314	C₂	1	1	yes	maximal, characteristic, complemented
10	#26026313	C₂	1	1	yes	maximal, characteristic, complemented
11	#26026312	C₂	1	1	yes	maximal, characteristic, complemented
12	#26026311	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026310	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026309	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026308	C₂	1	1	yes	maximal, characteristic, complemented
16	#401×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#398×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#397×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#397×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#394×D₈₉	C₂	1	1	yes	maximal, characteristic
21	#394×D₈₉	C₂	1	1	yes	maximal, characteristic
22	#393×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#393×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#391×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
25	#388×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
26	#388×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
27	#387×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#386×D₈₉	C₂	1	1	yes	maximal, characteristic
29	#385×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2653	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₈₉	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₈₉	C₂²	1	1	yes	characteristic
34	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
53	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
54	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
55	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
56	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
57	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
58	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
59	C₈₉⋊#401	C₂²	1	1	yes	characteristic, complemented
60	#19151532	C₂²	1	1	yes	characteristic, complemented
61	#19151532	C₂²	1	1	yes	characteristic, complemented
62	#19151531	C₂²	1	1	yes	characteristic, complemented
63	#19151531	C₂²	1	1	yes	characteristic, complemented
64	#19151530	C₂²	1	1	yes	characteristic, complemented
65	#19151529	C₂²	1	1	yes	characteristic, complemented
66	#19151528	C₂²	1	1	yes	characteristic, complemented
67	#19151527	C₂²	1	1	yes	characteristic, complemented
68	#19151527	C₂²	1	1	yes	characteristic, complemented
69	#19151527	C₂²	1	1	yes	characteristic, complemented
70	#19151527	C₂²	1	1	yes	characteristic, complemented
71	#19151526	C₂²	1	1	yes	characteristic, complemented
72	#19151526	C₂²	1	1	yes	characteristic, complemented
73	#19151526	C₂²	1	1	yes	characteristic, complemented
74	#19151526	C₂²	1	1	yes	characteristic, complemented
75	#19151525	C₂²	1	1	yes	characteristic, complemented
76	#19151525	C₂²	1	1	yes	characteristic, complemented
77	#19151524	C₂²	1	1	yes	characteristic, complemented
78	#19151524	C₂²	1	1	yes	characteristic, complemented
79	#19151523	C₂²	1	1	yes	characteristic, complemented
80	#19151523	C₂²	1	1	yes	characteristic, complemented
81	#19151516	C₂²	1	1	yes	characteristic
82	#19151516	C₂²	1	1	yes	characteristic
83	#19151515	C₂²	1	1	yes	characteristic
84	#19151515	C₂²	1	1	yes	characteristic
85	#19151514	C₂²	1	1	yes	characteristic
86	#19151514	C₂²	1	1	yes	characteristic
87	#19151514	C₂²	1	1	yes	characteristic
88	#19151514	C₂²	1	1	yes	characteristic
89	#19151513	C₂²	1	1	yes	characteristic
90	#19151513	C₂²	1	1	yes	characteristic
91	#19151513	C₂²	1	1	yes	characteristic
92	#19151513	C₂²	1	1	yes	characteristic
93	#19151512	C₂²	1	1	yes	characteristic
94	#19151512	C₂²	1	1	yes	characteristic
95	#19151511	C₂²	1	1	yes	characteristic, complemented
96	#19151511	C₂²	1	1	yes	characteristic, complemented
97	#19151511	C₂²	1	1	yes	characteristic, complemented
98	#19151511	C₂²	1	1	yes	characteristic, complemented
99	#19151511	C₂²	1	1	yes	characteristic, complemented
100	#19151511	C₂²	1	1	yes	characteristic, complemented
101	#19151510	C₂²	1	1	yes	characteristic, complemented
102	#19151510	C₂²	1	1	yes	characteristic, complemented
103	#19151510	C₂²	1	1	yes	characteristic, complemented
104	#19151510	C₂²	1	1	yes	characteristic, complemented
105	#19151510	C₂²	1	1	yes	characteristic, complemented
106	#19151510	C₂²	1	1	yes	characteristic, complemented
107	#19151509	C₂²	1	1	yes	characteristic, complemented
108	#19151509	C₂²	1	1	yes	characteristic, complemented
109	#19151505	C₂²	1	1	yes	characteristic, complemented
110	#19151504	C₂²	1	1	yes	characteristic, complemented
111	#19151503	C₂²	1	1	yes	characteristic, complemented
112	#19151502	C₂²	1	1	yes	characteristic, complemented
113	#19151502	C₂²	1	1	yes	characteristic, complemented
114	#19151502	C₂²	1	1	yes	characteristic, complemented
115	#19151502	C₂²	1	1	yes	characteristic, complemented
116	#19151492	C₂²	1	1	yes	characteristic, complemented
117	#19151492	C₂²	1	1	yes	characteristic, complemented
118	#19151491	C₂²	1	1	yes	characteristic, complemented
119	#19151491	C₂²	1	1	yes	characteristic, complemented
120	#19151490	C₂²	1	1	yes	characteristic, complemented
121	#19151490	C₂²	1	1	yes	characteristic, complemented
122	#19151489	C₂²	1	1	yes	characteristic, complemented
123	#19151489	C₂²	1	1	yes	characteristic, complemented
124	#19151488	C₂²	1	1	yes	characteristic, complemented
125	#19151488	C₂²	1	1	yes	characteristic, complemented
126	#19151487	C₂²	1	1	yes	characteristic, complemented
127	#19151487	C₂²	1	1	yes	characteristic, complemented
128	#19151486	C₂²	1	1	yes	characteristic, complemented
129	#19151486	C₂²	1	1	yes	characteristic, complemented
130	#19151485	C₂²	1	1	yes	characteristic, complemented
131	#19151484	C₂²	1	1	yes	characteristic, complemented
132	#19151483	C₂²	1	1	yes	characteristic, complemented
133	#19151482	C₂²	1	1	yes	characteristic, complemented
134	#19151481	C₂²	1	1	yes	characteristic, complemented
135	#19151480	C₂²	1	1	yes	characteristic, complemented
136	#19151479	C₂²	1	1	yes	characteristic, complemented
137	#19151478	C₂²	1	1	yes	characteristic
138	#19151477	C₂²	1	1	yes	characteristic
139	#19151476	C₂²	1	1	yes	characteristic
140	#19151476	C₂²	1	1	yes	characteristic
141	#19151475	C₂²	1	1	yes	characteristic
142	#19151474	C₂²	1	1	yes	characteristic
143	#19151474	C₂²	1	1	yes	characteristic
144	#19151473	C₂²	1	1	yes	characteristic, complemented
145	#19151472	C₂²	1	1	yes	characteristic, complemented
146	#19151472	C₂²	1	1	yes	characteristic, complemented
147	#19151471	C₂²	1	1	yes	characteristic, complemented
148	#19151470	C₂²	1	1	yes	characteristic, complemented
149	#19151469	C₂²	1	1	yes	characteristic, complemented
150	#19151469	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
153	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
154	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
156	#19151445	C₂²	1	1	yes	characteristic, complemented
157	#19151445	C₂²	1	1	yes	characteristic, complemented
158	#95×D₈₉	C₂²	1	1	yes	characteristic
159	#95×D₈₉	C₂²	1	1	yes	characteristic
160	#95×D₈₉	C₂²	1	1	yes	characteristic
161	#95×D₈₉	C₂²	1	1	yes	characteristic
162	#95×D₈₉	C₂²	1	1	yes	characteristic
163	#95×D₈₉	C₂²	1	1	yes	characteristic
164	#95×D₈₉	C₂²	1	1	yes	characteristic
165	#95×D₈₉	C₂²	1	1	yes	characteristic
166	#95×D₈₉	C₂²	1	1	yes	characteristic
167	#95×D₈₉	C₂²	1	1	yes	characteristic
168	#95×D₈₉	C₂²	1	1	yes	characteristic
169	#95×D₈₉	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic
171	#95×D₈₉	C₂²	1	1	yes	characteristic
172	#401×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
176	#394×C₈₉	C₂²	1	1	yes	characteristic
177	#394×C₈₉	C₂²	1	1	yes	characteristic
178	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#386×C₈₉	C₂²	1	1	yes	characteristic
185	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂×Q₈×D₈₉	—	2	4	no	—
193	C₂×Q₈×D₈₉	—	4	2	no	—
194	C₂×Q₈×D₈₉	—	4	2	no	—
195	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
198	C₂×D₄×D₈₉	—	2	4	no	—
199	C₂×D₄×D₈₉	—	4	2	no	—
200	C₂×D₄×D₈₉	—	4	2	no	—
201	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₈₉	—	2	4	no	—
203	C₂²×C₄×D₈₉	—	4	2	no	—
204	C₂²×C₄×D₈₉	—	4	2	no	—
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	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
225	C₂×#13083553	C₂³	1	1	yes	characteristic
226	C₂×#13083553	C₂³	1	1	yes	characteristic
227	C₂×#13083553	C₂³	1	1	yes	characteristic
228	C₂×#13083553	C₂³	1	1	yes	characteristic
229	C₂×#13083553	C₂³	1	1	yes	characteristic
230	C₂×#13083553	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	C₄⋊C₄×D₈₉	—	2	4	no	—
236	C₄⋊C₄×D₈₉	—	4	2	no	—
237	C₄⋊C₄×D₈₉	—	4	2	no	—
238	C₄⋊C₄×D₈₉	—	4	2	no	—
239	C₄⋊C₄×D₈₉	—	4	2	no	—
240	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₈₉	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×#13083551	C₂³	1	1	yes	characteristic
252	C₂×#13083551	C₂³	1	1	yes	characteristic
253	C₂×#13083551	C₂³	1	1	yes	characteristic
254	C₂×#13083551	C₂³	1	1	yes	characteristic
255	C₂×#13083551	C₂³	1	1	yes	characteristic
256	C₂×#13083551	C₂³	1	1	yes	characteristic
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	C₂²⋊C₄×D₈₉	—	2	4	no	—
274	C₂²⋊C₄×D₈₉	—	2	4	no	—
275	C₂²⋊C₄×D₈₉	—	2	4	no	—
276	C₂²⋊C₄×D₈₉	—	2	4	no	—
277	C₂²⋊C₄×D₈₉	—	2	4	no	—
278	C₂²⋊C₄×D₈₉	—	4	2	no	—
279	C₂²⋊C₄×D₈₉	—	4	2	no	—
280	C₂²⋊C₄×D₈₉	—	4	2	no	—
281	C₂²⋊C₄×D₈₉	—	4	2	no	—
282	C₂²⋊C₄×D₈₉	—	4	2	no	—
283	C₂²⋊C₄×D₈₉	—	4	2	no	—
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	C₄²×D₈₉	—	4	2	no	—
291	C₄²×D₈₉	—	4	2	no	—
292	#15667919	C₂³	1	1	yes	characteristic
293	#15667919	C₂³	1	1	yes	characteristic
294	#15667919	C₂³	1	1	yes	characteristic
295	#15667919	C₂³	1	1	yes	characteristic
296	#15667919	C₂³	1	1	yes	characteristic
297	#15667919	C₂³	1	1	yes	characteristic
298	#15667919	C₂³	1	1	yes	characteristic
299	#15667919	C₂³	1	1	yes	characteristic
300	#15667919	C₂³	1	1	yes	characteristic
301	#15667919	C₂³	1	1	yes	characteristic
302	#15667919	C₂³	1	1	yes	characteristic
303	#15667919	C₂³	1	1	yes	characteristic
304	#15667919	C₂³	1	1	yes	characteristic
305	#15667919	C₂³	1	1	yes	characteristic
306	#15667919	C₂³	1	1	yes	characteristic
307	#15667919	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
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	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
335	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	#95×C₈₉	C₂³	1	1	yes	characteristic
358	#95×C₈₉	C₂³	1	1	yes	characteristic
359	#95×C₈₉	C₂³	1	1	yes	characteristic
360	#95×C₈₉	C₂³	1	1	yes	characteristic
361	#95×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	C₂³×D₈₉	—	2	2	no	—
370	C₂³×D₈₉	—	2	2	no	—
371	C₂³×D₈₉	—	2	2	no	—
372	C₂³×D₈₉	—	2	2	no	—
373	C₂³×D₈₉	—	2	2	no	—
374	C₂³×D₈₉	—	2	2	no	—
375	C₂³×D₈₉	—	2	2	no	—
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	—	2	2	no	—
381	C₂³×D₈₉	—	2	2	no	—
382	C₂³×D₈₉	#41	1	4	yes	—
383	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
384	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
385	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₁₇₈	—	2	2	no	—
387	C₂×Dic₁₇₈	—	2	2	no	—
388	C₂×Dic₁₇₈	—	2	2	no	—
389	C₂×Dic₁₇₈	—	4	1	no	—
390	C₂×Dic₁₇₈	—	4	1	no	—
391	C₂×Dic₁₇₈	—	4	1	no	—
392	C₂×Dic₁₇₈	—	4	1	no	—
393	C₂×Dic₁₇₈	—	4	1	no	—
394	C₂×Dic₁₇₈	—	4	1	no	—
395	Q₈×D₈₉	—	4	16	no	—
396	C₂×D₃₅₆	—	2	2	no	—
397	C₂×D₃₅₆	—	4	1	no	—
398	C₂×D₃₅₆	—	4	1	no	—
399	C₂×C₂²⋊D₈₉	—	2	2	no	—
400	C₂×C₂²⋊D₈₉	—	2	2	no	—
401	C₂×C₂²⋊D₈₉	—	4	1	no	—
402	C₂×C₂²⋊D₈₉	—	4	1	no	—
403	C₂×C₂²⋊D₈₉	—	4	1	no	—
404	C₂×C₂²⋊D₈₉	—	4	1	no	—
405	D₄×D₈₉	—	4	16	no	—
406	C₂²×Dic₈₉	—	2	2	no	—
407	C₂²×Dic₈₉	—	4	1	no	—
408	C₂²×Dic₈₉	—	4	1	no	—
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	C₂×C₄×D₈₉	—	2	2	no	—
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	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	2	2	no	—
443	C₂×C₄×D₈₉	—	2	2	no	—
444	C₂×C₄×D₈₉	—	2	2	no	—
445	C₂×C₄×D₈₉	—	2	2	no	—
446	C₂×C₄×D₈₉	—	2	2	no	—
447	C₂×C₄×D₈₉	—	2	2	no	—
448	C₂×C₄×D₈₉	—	2	2	no	—
449	C₂×C₄×D₈₉	—	2	2	no	—
450	C₂×C₄×D₈₉	—	2	2	no	—
451	C₂×C₄×D₈₉	—	2	2	no	—
452	C₂×C₄×D₈₉	—	2	2	no	—
453	C₂×C₄×D₈₉	—	2	2	no	—
454	C₂×C₄×D₈₉	—	2	2	no	—
455	C₂×C₄×D₈₉	—	2	2	no	—
456	C₂×C₄×D₈₉	—	2	2	no	—
457	C₂×C₄×D₈₉	—	2	2	no	—
458	C₂×C₄×D₈₉	—	2	2	no	—
459	C₂×C₄×D₈₉	—	2	2	no	—
460	C₂×C₄×D₈₉	—	2	2	no	—
461	C₂×C₄×D₈₉	—	4	16	no	—
462	C₂×C₄×D₈₉	—	4	1	no	—
463	C₂×C₄×D₈₉	—	4	1	no	—
464	C₂×C₄×D₈₉	—	4	1	no	—
465	C₂×C₄×D₈₉	—	4	1	no	—
466	C₂×C₄×D₈₉	#41	1	4	yes	—
467	C₂×C₄×D₈₉	#41	1	4	yes	—
468	C₄⋊Dic₈₉	—	2	2	no	—
469	C₄⋊Dic₈₉	—	4	1	no	—
470	C₄⋊Dic₈₉	—	4	1	no	—
471	C₄⋊Dic₈₉	—	4	1	no	—
472	C₄⋊Dic₈₉	—	4	1	no	—
473	#13083553	—	2	2	no	—
474	#13083553	—	2	2	no	—
475	#13083553	—	4	1	no	—
476	#13083553	—	4	1	no	—
477	#13083553	—	4	1	no	—
478	#13083553	—	4	1	no	—
479	#13083553	—	4	1	no	—
480	#13083553	—	4	1	no	—
481	#13083553	—	4	1	no	—
482	#13083553	—	4	1	no	—
483	C₂²⋊Dic₈₉	—	2	2	no	—
484	C₂²⋊Dic₈₉	—	2	2	no	—
485	C₂²⋊Dic₈₉	—	2	2	no	—
486	C₂²⋊Dic₈₉	—	2	2	no	—
487	C₂²⋊Dic₈₉	—	2	2	no	—
488	C₂²⋊Dic₈₉	—	4	1	no	—
489	C₂²⋊Dic₈₉	—	4	1	no	—
490	C₂²⋊Dic₈₉	—	4	1	no	—
491	C₂²⋊Dic₈₉	—	4	1	no	—
492	C₂²⋊Dic₈₉	—	4	1	no	—
493	C₂²⋊Dic₈₉	—	4	1	no	—
494	#13083551	—	2	2	no	—
495	#13083551	—	2	2	no	—
496	#13083551	—	2	2	no	—
497	#13083551	—	2	2	no	—
498	#13083551	—	2	2	no	—
499	#13083551	—	2	2	no	—
500	#13083551	—	2	2	no	—
501	#13083551	—	2	2	no	—
502	#13083551	—	2	2	no	—
503	#13083551	—	2	2	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	—	4	1	no	—
508	#13083551	—	4	1	no	—
509	#13083551	—	4	1	no	—
510	#13083551	—	4	1	no	—
511	#13083551	—	4	1	no	—
512	#13083551	—	4	1	no	—
513	#13083551	—	4	1	no	—
514	#13083551	—	4	1	no	—
515	#13083551	—	4	1	no	—
516	C₄×Dic₈₉	—	4	1	no	—
517	C₄×Dic₈₉	—	4	1	no	—
518	C₄×Dic₈₉	—	4	1	no	—
519	C₄×Dic₈₉	—	4	1	no	—
520	C₄×Dic₈₉	—	4	1	no	—
521	C₄×Dic₈₉	—	4	1	no	—
522	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
523	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
524	C₂×Q₈×C₈₉	—	2	2	no	—
525	C₂×Q₈×C₈₉	—	4	1	no	—
526	C₂×Q₈×C₈₉	—	4	1	no	—
527	C₂×D₄×C₈₉	—	2	2	no	—
528	C₂×D₄×C₈₉	—	4	1	no	—
529	C₂×D₄×C₈₉	—	4	1	no	—
530	C₂²×C₄×C₈₉	—	2	2	no	—
531	C₂²×C₄×C₈₉	—	4	1	no	—
532	C₂²×C₄×C₈₉	—	4	1	no	—
533	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₈₉	—	2	2	no	—
547	C₄⋊C₄×C₈₉	—	4	1	no	—
548	C₄⋊C₄×C₈₉	—	4	1	no	—
549	C₄⋊C₄×C₈₉	—	4	1	no	—
550	C₄⋊C₄×C₈₉	—	4	1	no	—
551	C₂²⋊C₄×C₈₉	—	2	2	no	—
552	C₂²⋊C₄×C₈₉	—	2	2	no	—
553	C₂²⋊C₄×C₈₉	—	2	2	no	—
554	C₂²⋊C₄×C₈₉	—	2	2	no	—
555	C₂²⋊C₄×C₈₉	—	2	2	no	—
556	C₂²⋊C₄×C₈₉	—	4	1	no	—
557	C₂²⋊C₄×C₈₉	—	4	1	no	—
558	C₂²⋊C₄×C₈₉	—	4	1	no	—
559	C₂²⋊C₄×C₈₉	—	4	1	no	—
560	C₂²⋊C₄×C₈₉	—	4	1	no	—
561	C₂²⋊C₄×C₈₉	—	4	1	no	—
562	C₄²×C₈₉	—	4	1	no	—
563	C₄²×C₈₉	—	4	1	no	—
564	C₂³×C₈₉	—	2	1	no	—
565	C₂³×C₈₉	—	2	1	no	—
566	C₂³×C₈₉	—	2	1	no	—
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	C₂×#41	1	2	yes	—
578	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
579	C₂²×D₈₉	—	2	1	no	—
580	C₂²×D₈₉	—	2	1	no	—
581	C₂²×D₈₉	—	2	1	no	—
582	C₂²×D₈₉	—	2	1	no	—
583	C₂²×D₈₉	—	2	1	no	—
584	C₂²×D₈₉	—	2	1	no	—
585	C₂²×D₈₉	—	2	8	no	—
586	C₂²×D₈₉	—	2	8	no	—
587	C₂²×D₈₉	—	2	8	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	1	no	—
594	C₂²×D₈₉	—	2	1	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	—	4	4	no	—
600	C₂²×D₈₉	—	4	4	no	—
601	C₂²×D₈₉	—	4	4	no	—
602	C₂²×D₈₉	—	4	4	no	—
603	C₂²×D₈₉	—	4	4	no	—
604	C₂²×D₈₉	—	4	4	no	—
605	C₂²×D₈₉	—	4	4	no	—
606	C₂²×D₈₉	C₂×#41	1	2	yes	—
607	C₂²×D₈₉	C₂×#41	1	2	yes	—
608	C₂²×D₈₉	C₂×#41	1	2	yes	—
609	C₂²×D₈₉	C₂×#41	1	2	yes	—
610	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
611	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
612	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
613	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
614	Q₈×C₈₉	—	4	4	no	—
615	D₄×C₈₉	—	4	4	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	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	4	4	no	—
654	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
655	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
656	C₂²⋊D₈₉	—	4	4	no	—
657	C₂²⋊D₈₉	—	4	4	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	1	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	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	4	4	no	—
696	C₂×Dic₈₉	C₂×#41	1	2	yes	—
697	C₂×Dic₈₉	C₂×#41	1	2	yes	—
698	D₃₅₆	—	4	4	no	—
699	C₄×D₈₉	—	2	8	no	—
700	C₄×D₈₉	—	2	8	no	—
701	C₄×D₈₉	—	4	4	no	—
702	C₄×D₈₉	—	4	4	no	—
703	C₄×D₈₉	—	4	4	no	—
704	C₄×D₈₉	—	4	4	no	—
705	C₄×D₈₉	—	4	4	no	—
706	C₄×D₈₉	—	4	4	no	—
707	C₄×D₈₉	—	4	4	no	—
708	C₄×D₈₉	—	4	4	no	—
709	C₄×D₈₉	—	4	4	no	—
710	C₄×D₈₉	—	4	4	no	—
711	C₄×D₈₉	—	4	4	no	—
712	C₄×D₈₉	—	4	4	no	—
713	C₄×D₈₉	—	4	4	no	—
714	Dic₁₇₈	—	4	4	no	—
715	Dic₁₇₈	—	4	4	no	—
716	Dic₁₇₈	—	4	4	no	—
717	C₂²×C₈₉	—	2	2	no	—
718	C₂²×C₈₉	—	2	2	no	—
719	C₂²×C₈₉	—	2	2	no	—
720	C₂²×C₈₉	—	4	1	no	—
721	C₂²×C₈₉	—	4	1	no	—
722	C₂²×C₈₉	—	4	1	no	—
723	C₂²×C₈₉	—	4	1	no	—
724	C₂²×C₈₉	—	4	1	no	—
725	C₂²×C₈₉	—	4	1	no	—
726	C₂²×C₈₉	—	4	1	no	—
727	C₂²×C₈₉	—	4	1	no	—
728	C₂²×C₈₉	—	4	1	no	—
729	C₂²×C₈₉	—	4	1	no	—
730	C₂²×C₈₉	—	4	1	no	—
731	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
732	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
733	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
734	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
738	C₂×D₈₉	—	2	2	no	—
739	C₂×D₈₉	—	2	2	no	—
740	C₂×D₈₉	—	2	2	no	—
741	C₂×D₈₉	—	4	1	no	—
742	C₂×D₈₉	—	4	1	no	—
743	C₂×D₈₉	—	4	1	no	—
744	C₂×D₈₉	—	4	1	no	—
745	C₂×D₈₉	—	4	16	no	—
746	C₂×D₈₉	—	4	1	no	—
747	C₂×D₈₉	—	4	1	no	—
748	C₂×D₈₉	—	4	1	no	—
749	C₂×D₈₉	—	4	1	no	—
750	C₂×D₈₉	—	4	1	no	—
751	C₂×D₈₉	—	4	1	no	—
752	C₂×D₈₉	—	4	1	no	—
753	C₂×D₈₉	—	8	8	no	—
754	C₂×D₈₉	#529	1	4	yes	—
755	C₂×D₈₉	#538	1	4	yes	—
756	C₂×D₈₉	#538	1	4	yes	—
757	C₂×D₈₉	#538	1	4	yes	—
758	C₂×D₈₉	#539	1	4	yes	—
759	C₂×D₈₉	#542	1	4	yes	—
760	C₂×D₈₉	#542	1	4	yes	—
761	C₄×C₈₉	—	2	2	no	—
762	C₄×C₈₉	—	2	2	no	—
763	C₄×C₈₉	—	4	1	no	—
764	C₄×C₈₉	—	4	1	no	—
765	C₄×C₈₉	—	4	1	no	—
766	C₄×C₈₉	—	4	1	no	—
767	C₄×C₈₉	—	4	1	no	—
768	C₄×C₈₉	—	4	1	no	—
769	C₄×C₈₉	—	4	1	no	—
770	C₄×C₈₉	—	4	1	no	—
771	C₄×C₈₉	—	4	1	no	—
772	C₄×C₈₉	—	4	1	no	—
773	C₄×C₈₉	—	4	1	no	—
774	Dic₈₉	—	2	2	no	—
775	Dic₈₉	—	2	2	no	—
776	Dic₈₉	—	4	1	no	—
777	Dic₈₉	—	4	1	no	—
778	Dic₈₉	—	4	1	no	—
779	Dic₈₉	—	4	1	no	—
780	Dic₈₉	—	4	1	no	—
781	Dic₈₉	—	4	1	no	—
782	Dic₈₉	—	4	1	no	—
783	Dic₈₉	—	4	1	no	—
784	Dic₈₉	—	4	1	no	—
785	Dic₈₉	—	4	1	no	—
786	Dic₈₉	—	4	1	no	—
787	C₂×#2653	—	89	1	no	maximal, Sylow
788	C₂×C₈₉	—	4	2	no	—
789	C₂×C₈₉	—	8	1	no	—
790	C₂×C₈₉	C₂×#529	1	1	yes	characteristic
791	C₂×C₈₉	C₂×#538	1	1	yes	characteristic
792	C₂×C₈₉	C₂×#538	1	1	yes	characteristic
793	C₂×C₈₉	C₂×#538	1	1	yes	characteristic
794	C₂×C₈₉	C₂×#539	1	1	yes	characteristic
795	C₂×C₈₉	C₂×#542	1	1	yes	characteristic
796	C₂×C₈₉	C₂×#542	1	1	yes	characteristic
797	D₈₉	—	4	2	no	—
798	D₈₉	—	8	1	no	—
799	D₈₉	#2653	1	8	yes	direct product factor
800	#2653	—	89	1	no	—
801	#2653	—	89	1	no	—
802	#2653	—	89	1	no	—
803	#2653	—	89	1	no	—
804	#2653	—	89	1	no	—
805	#2653	—	89	1	no	—
806	#2653	—	89	1	no	—
807	#2653	—	89	1	no	—
808	#2653	—	89	1	no	—
809	#2653	—	89	1	no	—
810	#2653	—	89	1	no	—
811	#2653	—	89	1	no	—
812	#2653	—	89	1	no	—
813	#2653	—	89	1	no	—
814	#2653	—	89	1	no	—
815	#2653	D₈₉	1	1	yes	characteristic, direct product factor
816	C₂×#401	—	89	1	no	—
817	C₂×#398	—	89	1	no	—
818	C₂×#397	—	89	1	no	—
819	C₂×#397	—	89	1	no	—
820	C₂×#394	—	89	1	no	—
821	C₂×#394	—	89	1	no	—
822	C₂×#393	—	89	1	no	—
823	C₂×#393	—	89	1	no	—
824	C₂×#391	—	89	1	no	—
825	C₂×#388	—	89	1	no	—
826	C₂×#388	—	89	1	no	—
827	C₂×#387	—	89	1	no	—
828	C₂×#386	—	89	1	no	—
829	C₂×#385	—	89	1	no	—
830	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
831	C₈₉	C₂×#2653	1	1	yes	characteristic, complemented, Sylow
832	C₂³×Q₈	—	89	1	no	—
833	C₂³×D₄	—	89	1	no	—
834	C₂⁴×C₄	—	89	1	no	—
835	C₂²×C₄⋊C₄	—	89	1	no	—
836	C₂²×C₄⋊C₄	—	89	1	no	—
837	C₂²×C₄⋊C₄	—	89	1	no	—
838	C₂²×C₄⋊C₄	—	89	1	no	—
839	C₂²×C₄⋊C₄	—	89	1	no	—
840	C₂²×C₂²⋊C₄	—	89	1	no	—
841	C₂²×C₂²⋊C₄	—	89	1	no	—
842	C₂²×C₂²⋊C₄	—	89	1	no	—
843	C₂²×C₂²⋊C₄	—	89	1	no	—
844	C₂²×C₂²⋊C₄	—	89	1	no	—
845	C₂²×C₂²⋊C₄	—	89	1	no	—
846	C₂²×C₂²⋊C₄	—	89	1	no	—
847	C₂²×C₂²⋊C₄	—	89	1	no	—
848	C₂²×C₂²⋊C₄	—	89	1	no	—
849	C₂²×C₂²⋊C₄	—	89	1	no	—
850	C₂²×C₂²⋊C₄	—	89	1	no	—
851	C₂²×C₄²	—	89	1	no	—
852	C₂²×C₄²	—	89	1	no	—
853	#401	—	89	1	no	—
854	#401	—	89	1	no	—
855	#401	—	89	1	no	—
856	#401	—	89	1	no	—
857	#401	—	89	1	no	—
858	#401	—	89	1	no	—
859	#401	—	89	1	no	—
860	#401	C₂×D₈₉	1	1	yes	characteristic, complemented
861	#398	—	89	1	no	—
862	#398	—	89	1	no	—
863	#398	—	89	1	no	—
864	#398	—	89	1	no	—
865	#398	—	89	1	no	—
866	#398	—	89	1	no	—
867	#398	—	89	1	no	—
868	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
869	#397	—	89	1	no	—
870	#397	—	89	1	no	—
871	#397	—	89	1	no	—
872	#397	—	89	1	no	—
873	#397	—	89	1	no	—
874	#397	—	89	1	no	—
875	#397	—	89	1	no	—
876	#397	—	89	1	no	—
877	#397	—	89	1	no	—
878	#397	—	89	1	no	—
879	#397	—	89	1	no	—
880	#397	—	89	1	no	—
881	#397	—	89	1	no	—
882	#397	—	89	1	no	—
883	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
884	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
885	#394	—	89	1	no	—
886	#394	—	89	1	no	—
887	#394	—	89	1	no	—
888	#394	—	89	1	no	—
889	#394	—	89	1	no	—
890	#394	—	89	1	no	—
891	#394	—	89	1	no	—
892	#394	—	89	1	no	—
893	#394	—	89	1	no	—
894	#394	—	89	1	no	—
895	#394	—	89	1	no	—
896	#394	—	89	1	no	—
897	#394	—	89	1	no	—
898	#394	—	89	1	no	—
899	#394	C₂×D₈₉	1	1	yes	characteristic
900	#394	C₂×D₈₉	1	1	yes	characteristic
901	#393	—	89	1	no	—
902	#393	—	89	1	no	—
903	#393	—	89	1	no	—
904	#393	—	89	1	no	—
905	#393	—	89	1	no	—
906	#393	—	89	1	no	—
907	#393	—	89	1	no	—
908	#393	—	89	1	no	—
909	#393	—	89	1	no	—
910	#393	—	89	1	no	—
911	#393	—	89	1	no	—
912	#393	—	89	1	no	—
913	#393	—	89	1	no	—
914	#393	—	89	1	no	—
915	#393	C₂×D₈₉	1	1	yes	characteristic, complemented
916	#393	C₂×D₈₉	1	1	yes	characteristic, complemented
917	#391	—	89	1	no	—
918	#391	—	89	1	no	—
919	#391	—	89	1	no	—
920	#391	—	89	1	no	—
921	#391	—	89	1	no	—
922	#391	—	89	1	no	—
923	#391	—	89	1	no	—
924	#391	C₂×D₈₉	1	1	yes	characteristic, complemented
925	#388	—	89	1	no	—
926	#388	—	89	1	no	—
927	#388	—	89	1	no	—
928	#388	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	—	89	1	no	—
931	#388	—	89	1	no	—
932	#388	—	89	1	no	—
933	#388	—	89	1	no	—
934	#388	—	89	1	no	—
935	#388	—	89	1	no	—
936	#388	—	89	1	no	—
937	#388	—	89	1	no	—
938	#388	—	89	1	no	—
939	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
940	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
941	#387	—	89	1	no	—
942	#387	—	89	1	no	—
943	#387	—	89	1	no	—
944	#387	—	89	1	no	—
945	#387	—	89	1	no	—
946	#387	—	89	1	no	—
947	#387	—	89	1	no	—
948	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
949	#386	—	89	1	no	—
950	#386	—	89	1	no	—
951	#386	—	89	1	no	—
952	#386	—	89	1	no	—
953	#386	—	89	1	no	—
954	#386	—	89	1	no	—
955	#386	—	89	1	no	—
956	#386	C₂×D₈₉	1	1	yes	characteristic
957	#385	—	89	1	no	—
958	#385	—	89	1	no	—
959	#385	—	89	1	no	—
960	#385	—	89	1	no	—
961	#385	—	89	1	no	—
962	#385	—	89	1	no	—
963	#385	—	89	1	no	—
964	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
965	C₄×C₂²⋊C₄	—	89	1	no	—
966	C₄×C₂²⋊C₄	—	89	1	no	—
967	C₄×C₂²⋊C₄	—	89	1	no	—
968	C₄×C₂²⋊C₄	—	89	1	no	—
969	C₄×C₂²⋊C₄	—	89	1	no	—
970	C₄×C₂²⋊C₄	—	89	1	no	—
971	C₄×C₂²⋊C₄	—	89	1	no	—
972	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
973	C₂×#95	—	89	1	no	—
974	C₂×#95	—	89	1	no	—
975	C₂×#95	—	89	1	no	—
976	C₂×#95	—	89	1	no	—
977	C₂×#95	—	89	1	no	—
978	C₂×#95	—	89	1	no	—
979	C₂×#95	—	89	1	no	—
980	C₂×#95	—	89	1	no	—
981	C₂×#95	—	89	1	no	—
982	C₂×#95	—	89	1	no	—
983	C₂×#95	—	89	1	no	—
984	C₂×#95	—	89	1	no	—
985	C₂×#95	—	89	1	no	—
986	C₂×#95	—	89	1	no	—
987	C₂⁵	—	89	1	no	—
988	C₂⁵	—	89	1	no	—
989	C₂²×Q₈	—	89	1	no	—
990	C₂²×Q₈	—	89	1	no	—
991	C₂²×Q₈	—	89	1	no	—
992	C₂²×Q₈	—	356	2	no	—
993	C₂²×Q₈	—	356	2	no	—
994	C₂²×Q₈	—	178	4	no	—
995	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
996	C₂²×D₄	—	89	1	no	—
997	C₂²×D₄	—	89	1	no	—
998	C₂²×D₄	—	89	1	no	—
999	C₂²×D₄	—	356	2	no	—
1000	C₂²×D₄	—	356	2	no	—
1001	C₂²×D₄	—	178	4	no	—
1002	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1003	C₂³×C₄	—	89	1	no	—
1004	C₂³×C₄	—	89	1	no	—
1005	C₂³×C₄	—	89	1	no	—
1006	C₂³×C₄	—	89	1	no	—
1007	C₂³×C₄	—	89	1	no	—
1008	C₂³×C₄	—	89	1	no	—
1009	C₂³×C₄	—	89	1	no	—
1010	C₂³×C₄	—	89	1	no	—
1011	C₂³×C₄	—	89	1	no	—
1012	C₂³×C₄	—	89	1	no	—
1013	C₂³×C₄	—	89	1	no	—
1014	C₂³×C₄	—	89	1	no	—
1015	C₂³×C₄	—	89	1	no	—
1016	C₂³×C₄	—	89	1	no	—
1017	C₂³×C₄	—	89	1	no	—
1018	C₂³×C₄	—	89	1	no	—
1019	C₂³×C₄	—	356	2	no	—
1020	C₂³×C₄	—	356	2	no	—
1021	C₂³×C₄	—	178	4	no	—
1022	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
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	—	89	1	no	—
1034	C₂×C₄⋊C₄	—	89	1	no	—
1035	C₂×C₄⋊C₄	—	89	1	no	—
1036	C₂×C₄⋊C₄	—	89	1	no	—
1037	C₂×C₄⋊C₄	—	89	1	no	—
1038	C₂×C₄⋊C₄	—	356	2	no	—
1039	C₂×C₄⋊C₄	—	356	2	no	—
1040	C₂×C₄⋊C₄	—	356	2	no	—
1041	C₂×C₄⋊C₄	—	356	2	no	—
1042	C₂×C₄⋊C₄	—	178	4	no	—
1043	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
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	1	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	—	89	1	no	—
1065	C₂×C₂²⋊C₄	—	89	1	no	—
1066	C₂×C₂²⋊C₄	—	89	1	no	—
1067	C₂×C₂²⋊C₄	—	89	1	no	—
1068	C₂×C₂²⋊C₄	—	89	1	no	—
1069	C₂×C₂²⋊C₄	—	89	1	no	—
1070	C₂×C₂²⋊C₄	—	89	1	no	—
1071	C₂×C₂²⋊C₄	—	89	1	no	—
1072	C₂×C₂²⋊C₄	—	89	1	no	—
1073	C₂×C₂²⋊C₄	—	89	1	no	—
1074	C₂×C₂²⋊C₄	—	89	1	no	—
1075	C₂×C₂²⋊C₄	—	89	1	no	—
1076	C₂×C₂²⋊C₄	—	89	1	no	—
1077	C₂×C₂²⋊C₄	—	89	1	no	—
1078	C₂×C₂²⋊C₄	—	89	1	no	—
1079	C₂×C₂²⋊C₄	—	89	1	no	—
1080	C₂×C₂²⋊C₄	—	89	1	no	—
1081	C₂×C₂²⋊C₄	—	356	2	no	—
1082	C₂×C₂²⋊C₄	—	356	2	no	—
1083	C₂×C₂²⋊C₄	—	356	2	no	—
1084	C₂×C₂²⋊C₄	—	356	2	no	—
1085	C₂×C₂²⋊C₄	—	356	2	no	—
1086	C₂×C₂²⋊C₄	—	356	2	no	—
1087	C₂×C₂²⋊C₄	—	178	4	no	—
1088	C₂×C₂²⋊C₄	—	178	4	no	—
1089	C₂×C₂²⋊C₄	—	178	4	no	—
1090	C₂×C₂²⋊C₄	—	178	4	no	—
1091	C₂×C₂²⋊C₄	—	178	4	no	—
1092	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1103	C₂×C₄²	—	89	1	no	—
1104	C₂×C₄²	—	89	1	no	—
1105	C₂×C₄²	—	89	1	no	—
1106	C₂×C₄²	—	89	1	no	—
1107	C₂×C₄²	—	89	1	no	—
1108	C₂×C₄²	—	89	1	no	—
1109	C₂×C₄²	—	356	2	no	—
1110	C₂×C₄²	—	356	2	no	—
1111	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1112	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
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	—	89	1	no	—
1143	#95	—	89	1	no	—
1144	#95	—	89	1	no	—
1145	#95	—	89	1	no	—
1146	#95	—	89	1	no	—
1147	#95	—	89	1	no	—
1148	#95	—	89	1	no	—
1149	#95	—	89	1	no	—
1150	#95	—	89	1	no	—
1151	#95	—	89	1	no	—
1152	#95	—	89	1	no	—
1153	#95	—	89	1	no	—
1154	#95	—	89	1	no	—
1155	#95	C₂²×D₈₉	1	1	yes	characteristic
1156	#95	C₂²×D₈₉	1	1	yes	characteristic
1157	#95	C₂²×D₈₉	1	1	yes	characteristic
1158	#95	C₂²×D₈₉	1	1	yes	characteristic
1159	#95	C₂²×D₈₉	1	1	yes	characteristic
1160	#95	C₂²×D₈₉	1	1	yes	characteristic
1161	#95	C₂²×D₈₉	1	1	yes	characteristic
1162	#95	C₂²×D₈₉	1	1	yes	characteristic
1163	#95	C₂²×D₈₉	1	1	yes	characteristic
1164	#95	C₂²×D₈₉	1	1	yes	characteristic
1165	#95	C₂²×D₈₉	1	1	yes	characteristic
1166	#95	C₂²×D₈₉	1	1	yes	characteristic
1167	#95	C₂²×D₈₉	1	1	yes	characteristic
1168	#95	C₂²×D₈₉	1	1	yes	characteristic
1169	C₂⁴	—	89	1	no	—
1170	C₂⁴	—	89	4	no	—
1171	C₂⁴	—	89	1	no	—
1172	C₂⁴	—	89	1	no	—
1173	C₂⁴	—	178	2	no	—
1174	C₂⁴	—	178	2	no	—
1175	C₂⁴	—	178	2	no	—
1176	C₂⁴	—	178	2	no	—
1177	C₂⁴	—	178	2	no	—
1178	C₂⁴	—	178	2	no	—
1179	C₂⁴	—	178	2	no	—
1180	C₂⁴	—	178	2	no	—
1181	C₂⁴	—	178	2	no	—
1182	C₂⁴	—	178	2	no	—
1183	C₂⁴	—	178	2	no	—
1184	C₂⁴	—	178	2	no	—
1185	C₂⁴	—	178	2	no	—
1186	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1187	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1188	C₂×Q₈	—	2	2	no	—
1189	C₂×Q₈	—	4	1	no	—
1190	C₂×Q₈	—	4	1	no	—
1191	C₂×Q₈	—	356	1	no	—
1192	C₂×Q₈	—	356	1	no	—
1193	C₂×Q₈	—	356	1	no	—
1194	C₂×Q₈	—	356	1	no	—
1195	C₂×Q₈	—	356	1	no	—
1196	C₂×Q₈	—	356	1	no	—
1197	C₂×Q₈	—	356	16	no	—
1198	C₂×Q₈	—	178	2	no	—
1199	C₂×Q₈	—	178	2	no	—
1200	C₂×Q₈	—	178	2	no	—
1201	C₂×D₄	—	2	2	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	356	1	no	—
1205	C₂×D₄	—	356	1	no	—
1206	C₂×D₄	—	356	16	no	—
1207	C₂×D₄	—	356	1	no	—
1208	C₂×D₄	—	356	1	no	—
1209	C₂×D₄	—	356	1	no	—
1210	C₂×D₄	—	356	1	no	—
1211	C₂×D₄	—	178	2	no	—
1212	C₂×D₄	—	178	2	no	—
1213	C₂×D₄	—	178	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	89	1	no	—
1218	C₂²×C₄	—	89	1	no	—
1219	C₂²×C₄	—	89	4	no	—
1220	C₂²×C₄	—	89	4	no	—
1221	C₂²×C₄	—	89	1	no	—
1222	C₂²×C₄	—	89	1	no	—
1223	C₂²×C₄	—	89	1	no	—
1224	C₂²×C₄	—	89	1	no	—
1225	C₂²×C₄	—	89	1	no	—
1226	C₂²×C₄	—	89	1	no	—
1227	C₂²×C₄	—	89	1	no	—
1228	C₂²×C₄	—	89	1	no	—
1229	C₂²×C₄	—	89	1	no	—
1230	C₂²×C₄	—	89	1	no	—
1231	C₂²×C₄	—	89	1	no	—
1232	C₂²×C₄	—	356	1	no	—
1233	C₂²×C₄	—	356	1	no	—
1234	C₂²×C₄	—	356	1	no	—
1235	C₂²×C₄	—	356	1	no	—
1236	C₂²×C₄	—	356	16	no	—
1237	C₂²×C₄	—	356	1	no	—
1238	C₂²×C₄	—	356	1	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	—	178	2	no	—
1244	C₂²×C₄	—	178	2	no	—
1245	C₂²×C₄	—	178	2	no	—
1246	C₂²×C₄	—	178	2	no	—
1247	C₂²×C₄	—	178	2	no	—
1248	C₂²×C₄	—	178	2	no	—
1249	C₂²×C₄	—	178	2	no	—
1250	C₂²×C₄	—	178	2	no	—
1251	C₂²×C₄	—	178	2	no	—
1252	C₂²×C₄	—	178	2	no	—
1253	C₂²×C₄	—	178	2	no	—
1254	C₂²×C₄	—	178	2	no	—
1255	C₂²×C₄	—	178	2	no	—
1256	C₂²×C₄	—	178	2	no	—
1257	C₂²×C₄	—	178	2	no	—
1258	C₂²×C₄	—	178	2	no	—
1259	C₂²×C₄	—	178	2	no	—
1260	C₂²×C₄	—	178	2	no	—
1261	C₂²×C₄	—	178	2	no	—
1262	C₂²×C₄	—	178	2	no	—
1263	C₂²×C₄	—	178	2	no	—
1264	C₂²×C₄	—	178	2	no	—
1265	C₂²×C₄	—	178	2	no	—
1266	C₂²×C₄	—	178	2	no	—
1267	C₂²×C₄	—	178	2	no	—
1268	C₂²×C₄	—	178	2	no	—
1269	C₂²×C₄	—	178	2	no	—
1270	C₂²×C₄	—	178	2	no	—
1271	C₂²×C₄	—	178	2	no	—
1272	C₂²×C₄	—	178	2	no	—
1273	C₂²×C₄	—	178	2	no	—
1274	C₂²×C₄	—	178	2	no	—
1275	C₂²×C₄	—	178	2	no	—
1276	C₂²×C₄	—	178	2	no	—
1277	C₂²×C₄	—	178	2	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1280	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	4	1	no	—
1294	C₄⋊C₄	—	4	1	no	—
1295	C₄⋊C₄	—	4	1	no	—
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	356	1	no	—
1298	C₄⋊C₄	—	356	1	no	—
1299	C₄⋊C₄	—	356	1	no	—
1300	C₄⋊C₄	—	356	1	no	—
1301	C₄⋊C₄	—	356	1	no	—
1302	C₄⋊C₄	—	356	1	no	—
1303	C₄⋊C₄	—	356	1	no	—
1304	C₄⋊C₄	—	356	1	no	—
1305	C₄⋊C₄	—	356	1	no	—
1306	C₄⋊C₄	—	356	1	no	—
1307	C₄⋊C₄	—	356	1	no	—
1308	C₄⋊C₄	—	356	1	no	—
1309	C₄⋊C₄	—	178	2	no	—
1310	C₄⋊C₄	—	178	2	no	—
1311	C₄⋊C₄	—	178	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	356	1	no	—
1324	C₂²⋊C₄	—	356	1	no	—
1325	C₂²⋊C₄	—	356	1	no	—
1326	C₂²⋊C₄	—	356	1	no	—
1327	C₂²⋊C₄	—	356	1	no	—
1328	C₂²⋊C₄	—	356	1	no	—
1329	C₂²⋊C₄	—	356	1	no	—
1330	C₂²⋊C₄	—	356	1	no	—
1331	C₂²⋊C₄	—	356	1	no	—
1332	C₂²⋊C₄	—	356	1	no	—
1333	C₂²⋊C₄	—	356	1	no	—
1334	C₂²⋊C₄	—	356	1	no	—
1335	C₂²⋊C₄	—	356	1	no	—
1336	C₂²⋊C₄	—	356	1	no	—
1337	C₂²⋊C₄	—	356	1	no	—
1338	C₂²⋊C₄	—	356	1	no	—
1339	C₂²⋊C₄	—	356	1	no	—
1340	C₂²⋊C₄	—	356	1	no	—
1341	C₂²⋊C₄	—	178	2	no	—
1342	C₂²⋊C₄	—	178	2	no	—
1343	C₂²⋊C₄	—	178	2	no	—
1344	C₂²⋊C₄	—	178	2	no	—
1345	C₂²⋊C₄	—	178	2	no	—
1346	C₂²⋊C₄	—	178	2	no	—
1347	C₂²⋊C₄	—	178	2	no	—
1348	C₂²⋊C₄	—	178	2	no	—
1349	C₂²⋊C₄	—	178	2	no	—
1350	C₂²⋊C₄	—	178	2	no	—
1351	C₂²⋊C₄	—	178	2	no	—
1352	C₂²⋊C₄	—	178	2	no	—
1353	C₂²⋊C₄	—	178	2	no	—
1354	C₂²⋊C₄	—	178	2	no	—
1355	C₂²⋊C₄	—	178	2	no	—
1356	C₄²	—	4	1	no	—
1357	C₄²	—	4	1	no	—
1358	C₄²	—	356	1	no	—
1359	C₄²	—	356	1	no	—
1360	C₄²	—	356	1	no	—
1361	C₄²	—	356	1	no	—
1362	C₄²	—	356	1	no	—
1363	C₄²	—	356	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	89	2	no	—
1378	C₂³	—	89	2	no	—
1379	C₂³	—	89	2	no	—
1380	C₂³	—	89	2	no	—
1381	C₂³	—	89	2	no	—
1382	C₂³	—	89	2	no	—
1383	C₂³	—	89	2	no	—
1384	C₂³	—	89	2	no	—
1385	C₂³	—	356	4	no	—
1386	C₂³	—	356	4	no	—
1387	C₂³	—	356	4	no	—
1388	C₂³	—	356	4	no	—
1389	C₂³	—	356	4	no	—
1390	C₂³	—	356	4	no	—
1391	C₂³	—	356	4	no	—
1392	C₂³	—	356	4	no	—
1393	C₂³	—	356	4	no	—
1394	C₂³	—	356	4	no	—
1395	C₂³	—	356	4	no	—
1396	C₂³	—	178	8	no	—
1397	C₂³	—	178	8	no	—
1398	C₂³	—	178	8	no	—
1399	C₂³	—	178	1	no	—
1400	C₂³	—	178	1	no	—
1401	C₂³	—	178	1	no	—
1402	C₂³	—	178	1	no	—
1403	C₂³	—	178	1	no	—
1404	C₂³	—	178	1	no	—
1405	C₂³	—	178	1	no	—
1406	C₂³	—	178	1	no	—
1407	C₂³	—	178	1	no	—
1408	C₂³	—	178	1	no	—
1409	C₂³	—	178	1	no	—
1410	C₂³	—	178	1	no	—
1411	C₂³	—	178	1	no	—
1412	C₂³	#41×D₈₉	1	2	yes	—
1413	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1414	Q₈	—	4	4	no	—
1415	Q₈	—	356	4	no	—
1416	Q₈	—	356	4	no	—
1417	Q₈	—	356	4	no	—
1418	D₄	—	4	4	no	—
1419	D₄	—	356	4	no	—
1420	D₄	—	356	4	no	—
1421	D₄	—	356	4	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	89	2	no	—
1461	C₂×C₄	—	89	2	no	—
1462	C₂×C₄	—	356	4	no	—
1463	C₂×C₄	—	356	4	no	—
1464	C₂×C₄	—	356	4	no	—
1465	C₂×C₄	—	356	4	no	—
1466	C₂×C₄	—	356	4	no	—
1467	C₂×C₄	—	356	4	no	—
1468	C₂×C₄	—	356	4	no	—
1469	C₂×C₄	—	356	4	no	—
1470	C₂×C₄	—	356	4	no	—
1471	C₂×C₄	—	356	4	no	—
1472	C₂×C₄	—	356	4	no	—
1473	C₂×C₄	—	356	4	no	—
1474	C₂×C₄	—	356	4	no	—
1475	C₂×C₄	—	356	4	no	—
1476	C₂×C₄	—	178	8	no	—
1477	C₂×C₄	—	178	8	no	—
1478	C₂×C₄	—	178	1	no	—
1479	C₂×C₄	—	178	1	no	—
1480	C₂×C₄	—	178	1	no	—
1481	C₂×C₄	—	178	1	no	—
1482	C₂×C₄	—	178	1	no	—
1483	C₂×C₄	—	178	1	no	—
1484	C₂×C₄	—	178	1	no	—
1485	C₂×C₄	—	178	1	no	—
1486	C₂×C₄	—	178	1	no	—
1487	C₂×C₄	—	178	1	no	—
1488	C₂×C₄	—	178	1	no	—
1489	C₂×C₄	—	178	1	no	—
1490	C₂×C₄	—	178	1	no	—
1491	C₂×C₄	—	178	1	no	—
1492	C₂×C₄	—	178	1	no	—
1493	C₂×C₄	—	178	1	no	—
1494	C₂×C₄	—	178	1	no	—
1495	C₂×C₄	—	178	1	no	—
1496	C₂×C₄	—	178	1	no	—
1497	C₂×C₄	—	178	1	no	—
1498	C₂×C₄	—	178	1	no	—
1499	C₂×C₄	—	178	1	no	—
1500	C₂×C₄	—	178	1	no	—
1501	C₂×C₄	—	178	1	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	#41×D₈₉	1	2	yes	—
1516	C₂×C₄	#41×D₈₉	1	2	yes	—
1517	C₂²	—	2	2	no	—
1518	C₂²	—	2	2	no	—
1519	C₂²	—	2	2	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	89	4	no	—
1532	C₂²	—	89	4	no	—
1533	C₂²	—	89	4	no	—
1534	C₂²	—	89	4	no	—
1535	C₂²	—	89	4	no	—
1536	C₂²	—	89	4	no	—
1537	C₂²	—	89	4	no	—
1538	C₂²	—	356	16	no	—
1539	C₂²	—	356	1	no	—
1540	C₂²	—	356	1	no	—
1541	C₂²	—	356	1	no	—
1542	C₂²	—	356	1	no	—
1543	C₂²	—	356	1	no	—
1544	C₂²	—	356	1	no	—
1545	C₂²	—	356	1	no	—
1546	C₂²	—	356	1	no	—
1547	C₂²	—	356	1	no	—
1548	C₂²	—	356	1	no	—
1549	C₂²	—	356	1	no	—
1550	C₂²	—	178	2	no	—
1551	C₂²	—	178	2	no	—
1552	C₂²	—	178	2	no	—
1553	C₂²	—	712	8	no	—
1554	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1555	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1556	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1557	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1558	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1559	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1560	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1561	C₄	—	2	2	no	—
1562	C₄	—	2	2	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	356	1	no	—
1575	C₄	—	356	1	no	—
1576	C₄	—	356	1	no	—
1577	C₄	—	356	1	no	—
1578	C₄	—	356	1	no	—
1579	C₄	—	356	1	no	—
1580	C₄	—	356	1	no	—
1581	C₄	—	356	1	no	—
1582	C₄	—	356	1	no	—
1583	C₄	—	356	1	no	—
1584	C₄	—	356	1	no	—
1585	C₄	—	178	2	no	—
1586	C₄	—	178	2	no	—
1587	C₂	—	4	2	no	—
1588	C₂	—	8	1	no	—
1589	C₂	—	89	8	no	—
1590	C₂	—	356	2	no	—
1591	C₂	—	712	1	no	—
1592	C₂	#529×D₈₉	1	1	yes	characteristic
1593	C₂	#538×D₈₉	1	1	yes	characteristic
1594	C₂	#538×D₈₉	1	1	yes	characteristic
1595	C₂	#538×D₈₉	1	1	yes	characteristic
1596	C₂	#539×D₈₉	1	1	yes	characteristic
1597	C₂	#542×D₈₉	1	1	yes	characteristic
1598	C₂	#542×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2653	C₂
prime radical	C₂²×D₄×D₈₉	C₂²
hypercenter	#2653	D₈₉
hypocenter	C₈₉	C₂×#2653
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2653

Complements

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

N	H ≅ G/N	type
1. #26026322	C₂	semidirect
2. #26026321	C₂	semidirect
3. #26026320	C₂	semidirect
4. #26026319	C₂	semidirect
5. #26026318	C₂	semidirect
6. #26026317	C₂	semidirect
7. #26026316	C₂	semidirect
8. #26026315	C₂	semidirect
9. #26026314	C₂	semidirect
10. #26026313	C₂	semidirect
11. #26026312	C₂	semidirect
12. #26026311	C₂	semidirect
13. #26026310	C₂	semidirect
14. #26026309	C₂	semidirect
15. #26026308	C₂	semidirect
16. #401×D₈₉	C₂	semidirect
17. #398×D₈₉	C₂	semidirect
18. #397×D₈₉	C₂	semidirect
19. #397×D₈₉	C₂	semidirect
22. #393×D₈₉	C₂	semidirect
23. #393×D₈₉	C₂	semidirect
24. #391×D₈₉	C₂	semidirect
25. #388×D₈₉	C₂	semidirect
26. #388×D₈₉	C₂	semidirect
27. #387×D₈₉	C₂	semidirect
29. #385×D₈₉	C₂	semidirect
30. C₄×C₂²⋊C₄×D₈₉	C₂	semidirect
31. C₈₉×#2653	C₂	semidirect
53. C₈₉⋊#401	C₂²	semidirect
54. C₈₉⋊#401	C₂²	semidirect
55. C₈₉⋊#401	C₂²	semidirect
56. C₈₉⋊#401	C₂²	semidirect
57. C₈₉⋊#401	C₂²	semidirect
58. C₈₉⋊#401	C₂²	semidirect
59. C₈₉⋊#401	C₂²	semidirect
60. #19151532	C₂²	semidirect
61. #19151532	C₂²	semidirect
62. #19151531	C₂²	semidirect
63. #19151531	C₂²	semidirect
64. #19151530	C₂²	semidirect
65. #19151529	C₂²	semidirect
66. #19151528	C₂²	semidirect
67. #19151527	C₂²	semidirect
68. #19151527	C₂²	semidirect
69. #19151527	C₂²	semidirect
70. #19151527	C₂²	semidirect
71. #19151526	C₂²	semidirect
72. #19151526	C₂²	semidirect
73. #19151526	C₂²	semidirect
74. #19151526	C₂²	semidirect
75. #19151525	C₂²	semidirect
76. #19151525	C₂²	semidirect
77. #19151524	C₂²	semidirect
78. #19151524	C₂²	semidirect
79. #19151523	C₂²	semidirect
80. #19151523	C₂²	semidirect
95. #19151511	C₂²	semidirect
96. #19151511	C₂²	semidirect
97. #19151511	C₂²	semidirect
98. #19151511	C₂²	semidirect
99. #19151511	C₂²	semidirect
100. #19151511	C₂²	semidirect
101. #19151510	C₂²	semidirect
102. #19151510	C₂²	semidirect
103. #19151510	C₂²	semidirect
104. #19151510	C₂²	semidirect
105. #19151510	C₂²	semidirect
106. #19151510	C₂²	semidirect
107. #19151509	C₂²	semidirect
108. #19151509	C₂²	semidirect
109. #19151505	C₂²	semidirect
110. #19151504	C₂²	semidirect
111. #19151503	C₂²	semidirect
112. #19151502	C₂²	semidirect
113. #19151502	C₂²	semidirect
114. #19151502	C₂²	semidirect
115. #19151502	C₂²	semidirect
116. #19151492	C₂²	semidirect
117. #19151492	C₂²	semidirect
118. #19151491	C₂²	semidirect
119. #19151491	C₂²	semidirect
120. #19151490	C₂²	semidirect
121. #19151490	C₂²	semidirect
122. #19151489	C₂²	semidirect
123. #19151489	C₂²	semidirect
124. #19151488	C₂²	semidirect
125. #19151488	C₂²	semidirect
126. #19151487	C₂²	semidirect
127. #19151487	C₂²	semidirect
128. #19151486	C₂²	semidirect
129. #19151486	C₂²	semidirect
130. #19151485	C₂²	semidirect
131. #19151484	C₂²	semidirect
132. #19151483	C₂²	semidirect
133. #19151482	C₂²	semidirect
134. #19151481	C₂²	semidirect
135. #19151480	C₂²	semidirect
136. #19151479	C₂²	semidirect
144. #19151473	C₂²	semidirect
145. #19151472	C₂²	semidirect
146. #19151472	C₂²	semidirect
147. #19151471	C₂²	semidirect
148. #19151470	C₂²	semidirect
149. #19151469	C₂²	semidirect
150. #19151469	C₂²	semidirect
151. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
152. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
153. C₄×#13083551	C₂²	semidirect
154. C₄×#13083551	C₂²	semidirect
155. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
156. #19151445	C₂²	semidirect
157. #19151445	C₂²	semidirect
172. #401×C₈₉	C₂²	semidirect
173. #398×C₈₉	C₂²	semidirect
174. #397×C₈₉	C₂²	semidirect
175. #397×C₈₉	C₂²	semidirect
178. #393×C₈₉	C₂²	semidirect
179. #393×C₈₉	C₂²	semidirect
180. #391×C₈₉	C₂²	semidirect
181. #388×C₈₉	C₂²	semidirect
182. #388×C₈₉	C₂²	semidirect
183. #387×C₈₉	C₂²	semidirect
185. #385×C₈₉	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₈₉	C₂²	semidirect
799. D₈₉	#2653	direct (N × H)
815. #2653	D₈₉	direct (N × H)
831. C₈₉	C₂×#2653	semidirect
860. #401	C₂×D₈₉	semidirect
868. #398	C₂×D₈₉	semidirect
883. #397	C₂×D₈₉	semidirect
884. #397	C₂×D₈₉	semidirect
915. #393	C₂×D₈₉	semidirect
916. #393	C₂×D₈₉	semidirect
924. #391	C₂×D₈₉	semidirect
939. #388	C₂×D₈₉	semidirect
940. #388	C₂×D₈₉	semidirect
948. #387	C₂×D₈₉	semidirect
964. #385	C₂×D₈₉	semidirect
972. C₄×C₂²⋊C₄	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26026322	2
#26026321	2
#26026320	2
#26026319	2
#26026318	2
#26026317	2
#26026316	2
#26026315	2
#26026314	2
#26026313	2
#26026312	2
#26026311	2
#26026310	2
#26026309	2
#26026308	2
#401×D₈₉	2
#398×D₈₉	2
#397×D₈₉	2
#394×D₈₉	2
#393×D₈₉	2
#391×D₈₉	2
#388×D₈₉	2
#387×D₈₉	2
#386×D₈₉	2
#385×D₈₉	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2653	2
C₂×#2653	89

Subgroups — #2653×D89 #36720915

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2653×D₈₉ #36720915