Subgroups — #36717633

Order 22784.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152104	C₂	1	1	yes	maximal, characteristic
2	#26023419	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023412	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023410	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023403	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023250	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023246	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023242	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023238	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023224	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023222	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023190	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023187	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023110	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023106	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023078	C₂	1	1	yes	maximal, characteristic, complemented
17	#26023077	C₂	1	1	yes	maximal, characteristic, complemented
18	#26023018	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023011	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023009	C₂	1	1	yes	maximal, characteristic, complemented
21	#26023002	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022913	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022910	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022907	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022893	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022889	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022882	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022878	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022630	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19151459	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2321	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#13083573	C₂²	1	1	yes	characteristic
33	C₂⁴×Dic₈₉	C₂²	1	1	yes	characteristic
34	#19152104	C₄	1	16	yes	complemented
35	C₂×#15667996	C₂²	1	1	yes	characteristic
36	C₂×#15667993	C₂²	1	1	yes	characteristic
37	C₂×#15667989	C₂²	1	1	yes	characteristic
38	C₂×#15667989	C₂²	1	1	yes	characteristic
39	C₂×#15667984	C₂²	1	1	yes	characteristic
40	C₂×#15667984	C₂²	1	1	yes	characteristic
41	C₂×#15667981	C₂²	1	1	yes	characteristic
42	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
43	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
44	C₂×D₄×Dic₈₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₂²⋊D₈₉	C₂²	1	1	yes	characteristic
46	C₂×#15667972	C₂²	1	1	yes	characteristic
47	C₂×#15667972	C₂²	1	1	yes	characteristic
48	C₂×#15667972	C₂²	1	1	yes	characteristic
49	C₂×#15667968	C₂²	1	1	yes	characteristic
50	C₂×#15667968	C₂²	1	1	yes	characteristic
51	C₂×#15667968	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
53	#19151504	C₂²	1	1	yes	characteristic, complemented
54	#19151503	C₂²	1	1	yes	characteristic, complemented
55	#19151502	C₂²	1	1	yes	characteristic, complemented
56	#19151502	C₂²	1	1	yes	characteristic, complemented
57	#19151501	C₂²	1	1	yes	characteristic
58	#19151501	C₂²	1	1	yes	characteristic
59	#19151498	C₂²	1	1	yes	characteristic
60	#19151498	C₂²	1	1	yes	characteristic
61	#19151498	C₂²	1	1	yes	characteristic
62	#19151498	C₂²	1	1	yes	characteristic
63	#19151496	C₂²	1	1	yes	characteristic, complemented
64	#19151495	C₂²	1	1	yes	characteristic, complemented
65	#19151494	C₂²	1	1	yes	characteristic, complemented
66	#19151493	C₂²	1	1	yes	characteristic, complemented
67	#19151492	C₂²	1	1	yes	characteristic
68	#19151492	C₂²	1	1	yes	characteristic
69	#19151492	C₂²	1	1	yes	characteristic
70	#19151492	C₂²	1	1	yes	characteristic
71	#19151492	C₂²	1	1	yes	characteristic, complemented
72	#19151492	C₂²	1	1	yes	characteristic, complemented
73	#19151491	C₂²	1	1	yes	characteristic
74	#19151491	C₂²	1	1	yes	characteristic
75	#19151491	C₂²	1	1	yes	characteristic
76	#19151491	C₂²	1	1	yes	characteristic
77	#19151490	C₂²	1	1	yes	characteristic, complemented
78	#19151489	C₂²	1	1	yes	characteristic, complemented
79	#19151488	C₂²	1	1	yes	characteristic, complemented
80	#19151487	C₂²	1	1	yes	characteristic, complemented
81	#19151486	C₂²	1	1	yes	characteristic
82	#19151486	C₂²	1	1	yes	characteristic
83	#19151486	C₂²	1	1	yes	characteristic
84	#19151486	C₂²	1	1	yes	characteristic
85	#19151486	C₂²	1	1	yes	characteristic, complemented
86	#19151486	C₂²	1	1	yes	characteristic, complemented
87	#19151485	C₂²	1	1	yes	characteristic, complemented
88	#19151485	C₂²	1	1	yes	characteristic, complemented
89	#19151485	C₂²	1	1	yes	characteristic, complemented
90	#19151483	C₂²	1	1	yes	characteristic, complemented
91	#19151483	C₂²	1	1	yes	characteristic, complemented
92	#19151482	C₂²	1	1	yes	characteristic, complemented
93	#19151482	C₂²	1	1	yes	characteristic, complemented
94	#19151482	C₂²	1	1	yes	characteristic, complemented
95	#19151481	C₂²	1	1	yes	characteristic, complemented
96	#19151481	C₂²	1	1	yes	characteristic, complemented
97	#19151480	C₂²	1	1	yes	characteristic, complemented
98	#19151480	C₂²	1	1	yes	characteristic, complemented
99	#19151480	C₂²	1	1	yes	characteristic, complemented
100	#19151479	C₂²	1	1	yes	characteristic, complemented
101	#19151479	C₂²	1	1	yes	characteristic, complemented
102	#19151479	C₂²	1	1	yes	characteristic, complemented
103	#19151478	C₂²	1	1	yes	characteristic
104	#19151478	C₂²	1	1	yes	characteristic
105	#19151478	C₂²	1	1	yes	characteristic
106	#19151477	C₂²	1	1	yes	characteristic
107	#19151477	C₂²	1	1	yes	characteristic, complemented
108	#19151475	C₂²	1	1	yes	characteristic
109	#19151475	C₂²	1	1	yes	characteristic, complemented
110	#19151474	C₂²	1	1	yes	characteristic
111	#19151474	C₂²	1	1	yes	characteristic
112	#19151474	C₂²	1	1	yes	characteristic
113	#19151474	C₂²	1	1	yes	characteristic
114	#19151474	C₂²	1	1	yes	characteristic, complemented
115	#19151474	C₂²	1	1	yes	characteristic, complemented
116	#19151473	C₂²	1	1	yes	characteristic
117	#19151472	C₂²	1	1	yes	characteristic, complemented
118	#19151471	C₂²	1	1	yes	characteristic
119	#19151471	C₂²	1	1	yes	characteristic, complemented
120	#19151470	C₂²	1	1	yes	characteristic
121	#19151470	C₂²	1	1	yes	characteristic, complemented
122	#19151469	C₂²	1	1	yes	characteristic, complemented
123	#19151465	C₂²	1	1	yes	characteristic, complemented
124	#19151465	C₂²	1	1	yes	characteristic, complemented
125	#19151463	C₂²	1	1	yes	characteristic, complemented
126	#19151462	C₂²	1	1	yes	characteristic, complemented
127	#19151460	C₂²	1	1	yes	characteristic, complemented
128	#19151459	C₂²	1	1	yes	characteristic
129	#19151459	C₂²	1	1	yes	characteristic
130	#19151459	C₂²	1	1	yes	characteristic
131	#19151459	C₂²	1	1	yes	characteristic
132	#19151459	C₂²	1	1	yes	characteristic
133	#19151459	C₂²	1	1	yes	characteristic
134	#19151459	C₂²	1	1	yes	characteristic
135	#19151459	C₂²	1	1	yes	characteristic
136	#19151459	C₂²	1	1	yes	characteristic
137	#19151459	C₂²	1	1	yes	characteristic
138	#19151459	C₂²	1	1	yes	characteristic, complemented
139	#19151456	C₂²	1	1	yes	characteristic
140	#19151456	C₂²	1	1	yes	characteristic
141	#19151456	C₂²	1	1	yes	characteristic
142	#19151456	C₂²	1	1	yes	characteristic
143	#19151456	C₂²	1	1	yes	characteristic, complemented
144	#19151455	C₂²	1	1	yes	characteristic, complemented
145	#19151454	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
148	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
149	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
151	#19151449	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
160	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
161	C₄×#13083551	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
164	#19151445	C₂²	1	1	yes	characteristic, complemented
165	#19151444	C₂²	1	1	yes	characteristic, complemented
166	#19151443	C₂²	1	1	yes	characteristic, complemented
167	C₂×#15667919	C₂²	1	1	yes	characteristic
168	C₂×#15667919	C₂²	1	1	yes	characteristic
169	C₂×#15667919	C₂²	1	1	yes	characteristic
170	C₂×#15667919	C₂²	1	1	yes	characteristic
171	C₂×#15667919	C₂²	1	1	yes	characteristic, complemented
172	#95×D₈₉	C₂²	1	1	yes	characteristic, complemented
173	C₂×#120×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₈₉	C₂²	1	1	yes	characteristic
175	C₂²×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
176	#390×C₈₉	C₂²	1	1	yes	characteristic
177	#390×C₈₉	C₂²	1	1	yes	characteristic
178	#388×C₈₉	C₂²	1	1	yes	characteristic
179	#388×C₈₉	C₂²	1	1	yes	characteristic
180	#388×C₈₉	C₂²	1	1	yes	characteristic
181	#388×C₈₉	C₂²	1	1	yes	characteristic
182	#386×C₈₉	C₂²	1	1	yes	characteristic
183	#386×C₈₉	C₂²	1	1	yes	characteristic
184	#386×C₈₉	C₂²	1	1	yes	characteristic
185	#385×C₈₉	C₂²	1	1	yes	characteristic
186	#379×C₈₉	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#13083573	—	4	2	no	—
189	C₂×#13083573	—	4	2	no	—
190	C₂×#13083573	C₂×C₄	1	8	yes	—
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
196	C₂³×Dic₈₉	—	4	2	no	—
197	C₂³×Dic₈₉	—	4	2	no	—
198	C₂³×Dic₈₉	C₂×C₄	1	8	yes	complemented
199	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
200	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
201	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
202	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
203	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
204	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
205	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
206	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
207	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
208	C₂³×Dic₈₉	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	#15667996	C₂×C₄	1	8	yes	complemented
213	#15667993	C₂×C₄	1	8	yes	complemented
214	#15667989	C₂×C₄	1	8	yes	complemented
215	#15667989	C₂×C₄	1	8	yes	complemented
216	#15667984	C₂×C₄	1	8	yes	complemented
217	#15667984	C₂×C₄	1	8	yes	complemented
218	#15667981	C₂×C₄	1	8	yes	complemented
219	D₄×Dic₈₉	—	4	2	no	—
220	D₄×Dic₈₉	C₂×C₄	1	8	yes	complemented
221	D₄×Dic₈₉	C₂×C₄	1	8	yes	complemented
222	C₄×C₂²⋊D₈₉	—	4	2	no	—
223	#15667972	—	4	2	no	—
224	#15667972	C₂×C₄	1	8	yes	complemented
225	#15667972	C₂×C₄	1	8	yes	complemented
226	#15667968	—	4	2	no	—
227	#15667968	—	4	2	no	—
228	#15667968	C₂×C₄	1	8	yes	complemented
229	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₈₉	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×#13083553	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₈₉	—	4	2	no	—
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×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₈₉	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	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
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	#15667919	C₂³	1	1	yes	characteristic
291	#15667919	C₂³	1	1	yes	characteristic
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	C₂⁵×C₈₉	C₂³	1	1	yes	characteristic
333	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
334	C₂²×D₄×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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
339	#120×C₈₉	C₂×C₄	1	8	yes	complemented
340	C₄×D₄×C₈₉	—	4	2	no	—
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₈₉	—	4	2	no	—
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×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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₄²×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	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
371	#13083573	—	4	16	no	—
372	C₂×Dic₁₇₈	—	4	1	no	—
373	C₂×Dic₁₇₈	—	4	1	no	—
374	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	—
375	C₂×C₂²⋊D₈₉	—	2	2	no	—
376	C₂×C₂²⋊D₈₉	—	2	2	no	—
377	C₂×C₂²⋊D₈₉	—	4	1	no	—
378	C₂×C₂²⋊D₈₉	—	4	1	no	—
379	C₂×C₂²⋊D₈₉	—	4	1	no	—
380	C₂×C₂²⋊D₈₉	—	4	1	no	—
381	C₂×C₂²⋊D₈₉	—	4	1	no	—
382	C₂×C₂²⋊D₈₉	—	4	1	no	—
383	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
384	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
385	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
386	C₂×C₂²⋊D₈₉	C₂²×C₄	1	4	yes	—
387	C₂²×Dic₈₉	—	2	2	no	—
388	C₂²×Dic₈₉	—	2	2	no	—
389	C₂²×Dic₈₉	—	2	2	no	—
390	C₂²×Dic₈₉	—	2	2	no	—
391	C₂²×Dic₈₉	—	2	2	no	—
392	C₂²×Dic₈₉	—	2	2	no	—
393	C₂²×Dic₈₉	—	4	16	no	—
394	C₂²×Dic₈₉	—	4	1	no	—
395	C₂²×Dic₈₉	—	4	1	no	—
396	C₂²×Dic₈₉	—	4	1	no	—
397	C₂²×Dic₈₉	—	4	1	no	—
398	C₂²×Dic₈₉	—	4	1	no	—
399	C₂²×Dic₈₉	—	4	1	no	—
400	C₂²×Dic₈₉	—	4	1	no	—
401	C₂²×Dic₈₉	—	4	1	no	—
402	C₂²×Dic₈₉	—	4	1	no	—
403	C₂²×Dic₈₉	—	4	1	no	—
404	C₂²×Dic₈₉	—	4	1	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	—	4	1	no	—
408	C₂²×Dic₈₉	—	4	1	no	—
409	C₂²×Dic₈₉	—	4	1	no	—
410	C₂²×Dic₈₉	—	4	1	no	—
411	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
412	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
413	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
414	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
415	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
416	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
417	C₂²×Dic₈₉	C₂²×C₄	1	4	yes	—
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	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂×C₄×D₈₉	—	4	1	no	—
434	C₂×C₄×D₈₉	—	4	1	no	—
435	C₂×C₄×D₈₉	—	4	1	no	—
436	C₂×C₄×D₈₉	—	4	1	no	—
437	C₂×C₄×D₈₉	—	4	1	no	—
438	C₂×C₄×D₈₉	—	4	1	no	—
439	C₂×C₄×D₈₉	—	4	1	no	—
440	C₂×C₄×D₈₉	—	4	1	no	—
441	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
442	C₄⋊Dic₈₉	—	4	1	no	—
443	C₄⋊Dic₈₉	—	4	1	no	—
444	C₄⋊Dic₈₉	—	4	1	no	—
445	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
446	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	—
447	#13083553	—	4	1	no	—
448	#13083553	—	4	1	no	—
449	#13083553	—	4	1	no	—
450	#13083553	—	4	1	no	—
451	#13083553	—	4	1	no	—
452	#13083553	—	4	1	no	—
453	#13083553	—	4	1	no	—
454	#13083553	—	4	1	no	—
455	#13083553	—	4	1	no	—
456	#13083553	—	4	1	no	—
457	#13083553	C₂²×C₄	1	4	yes	—
458	#13083553	C₂²×C₄	1	4	yes	—
459	#13083553	C₂²×C₄	1	4	yes	—
460	#13083553	C₂²×C₄	1	4	yes	—
461	C₂²⋊Dic₈₉	—	2	2	no	—
462	C₂²⋊Dic₈₉	—	2	2	no	—
463	C₂²⋊Dic₈₉	—	4	1	no	—
464	C₂²⋊Dic₈₉	—	4	1	no	—
465	C₂²⋊Dic₈₉	—	4	1	no	—
466	C₂²⋊Dic₈₉	—	4	1	no	—
467	C₂²⋊Dic₈₉	—	4	1	no	—
468	C₂²⋊Dic₈₉	—	4	1	no	—
469	C₂²⋊Dic₈₉	—	4	1	no	—
470	C₂²⋊Dic₈₉	—	4	1	no	—
471	C₂²⋊Dic₈₉	—	4	1	no	—
472	C₂²⋊Dic₈₉	—	4	1	no	—
473	C₂²⋊Dic₈₉	—	4	1	no	—
474	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
475	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
476	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
477	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
478	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
479	#13083551	—	4	1	no	—
480	#13083551	—	4	1	no	—
481	#13083551	—	4	1	no	—
482	#13083551	—	4	1	no	—
483	#13083551	—	4	1	no	—
484	#13083551	—	4	1	no	—
485	#13083551	C₂²×C₄	1	4	yes	—
486	#13083551	C₂²×C₄	1	4	yes	—
487	C₄×Dic₈₉	—	4	1	no	—
488	C₄×Dic₈₉	—	4	1	no	—
489	C₄×Dic₈₉	—	4	1	no	—
490	C₄×Dic₈₉	—	4	1	no	—
491	C₄×Dic₈₉	—	4	1	no	—
492	C₄×Dic₈₉	—	4	1	no	—
493	C₄×Dic₈₉	—	4	1	no	—
494	C₄×Dic₈₉	—	4	1	no	—
495	C₄×Dic₈₉	—	4	1	no	—
496	C₄×Dic₈₉	—	4	1	no	—
497	C₄×Dic₈₉	—	4	1	no	—
498	C₄×Dic₈₉	—	4	1	no	—
499	C₄×Dic₈₉	—	4	1	no	—
500	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
501	C₄×Dic₈₉	C₂²×C₄	1	4	yes	—
502	C₂⁴×C₈₉	—	2	2	no	—
503	C₂⁴×C₈₉	—	2	2	no	—
504	C₂⁴×C₈₉	—	4	1	no	—
505	C₂⁴×C₈₉	—	4	1	no	—
506	C₂⁴×C₈₉	—	4	1	no	—
507	C₂⁴×C₈₉	—	4	1	no	—
508	C₂⁴×C₈₉	C₂²×C₄	1	4	yes	—
509	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
510	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
511	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
512	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₈₉	—	2	2	no	—
514	C₂×D₄×C₈₉	—	2	2	no	—
515	C₂×D₄×C₈₉	—	4	1	no	—
516	C₂×D₄×C₈₉	—	4	1	no	—
517	C₂×D₄×C₈₉	—	4	1	no	—
518	C₂×D₄×C₈₉	—	4	1	no	—
519	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
520	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
521	C₂×D₄×C₈₉	C₂²×C₄	1	4	yes	—
522	C₂²×C₄×C₈₉	—	2	2	no	—
523	C₂²×C₄×C₈₉	—	2	2	no	—
524	C₂²×C₄×C₈₉	—	4	1	no	—
525	C₂²×C₄×C₈₉	—	4	1	no	—
526	C₂²×C₄×C₈₉	—	4	1	no	—
527	C₂²×C₄×C₈₉	—	4	1	no	—
528	C₂²×C₄×C₈₉	—	4	1	no	—
529	C₂²×C₄×C₈₉	—	4	1	no	—
530	C₂²×C₄×C₈₉	—	4	1	no	—
531	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₈₉	—	4	1	no	—
543	C₄⋊C₄×C₈₉	—	4	1	no	—
544	C₄⋊C₄×C₈₉	—	4	1	no	—
545	C₂²⋊C₄×C₈₉	—	2	2	no	—
546	C₂²⋊C₄×C₈₉	—	2	2	no	—
547	C₂²⋊C₄×C₈₉	—	4	1	no	—
548	C₂²⋊C₄×C₈₉	—	4	1	no	—
549	C₂²⋊C₄×C₈₉	—	4	1	no	—
550	C₂²⋊C₄×C₈₉	—	4	1	no	—
551	C₂²⋊C₄×C₈₉	—	4	1	no	—
552	C₂²⋊C₄×C₈₉	—	4	1	no	—
553	C₂²⋊C₄×C₈₉	—	4	1	no	—
554	C₂²⋊C₄×C₈₉	—	4	1	no	—
555	C₂²⋊C₄×C₈₉	—	4	1	no	—
556	C₂²⋊C₄×C₈₉	—	4	1	no	—
557	C₂²⋊C₄×C₈₉	—	4	1	no	—
558	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
559	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
560	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
561	C₄²×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	8	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	—	2	1	no	—
578	C₂³×C₈₉	—	2	1	no	—
579	C₂³×C₈₉	—	2	1	no	—
580	C₂³×C₈₉	—	2	1	no	—
581	C₂³×C₈₉	—	2	1	no	—
582	C₂³×C₈₉	—	2	1	no	—
583	C₂³×C₈₉	—	2	1	no	—
584	C₂³×C₈₉	—	2	1	no	—
585	C₂³×C₈₉	—	2	1	no	—
586	C₂³×C₈₉	—	2	1	no	—
587	C₂³×C₈₉	—	4	4	no	—
588	C₂³×C₈₉	—	4	4	no	—
589	C₂³×C₈₉	—	4	4	no	—
590	C₂³×C₈₉	—	4	4	no	—
591	C₂³×C₈₉	—	4	4	no	—
592	C₂³×C₈₉	—	4	4	no	—
593	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
594	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
595	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
596	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
597	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
598	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
599	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
600	C₂²×D₈₉	—	2	1	no	—
601	C₂²×D₈₉	—	2	1	no	—
602	C₂²×D₈₉	—	2	1	no	—
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
607	D₄×C₈₉	—	2	8	no	—
608	D₄×C₈₉	—	4	4	no	—
609	D₄×C₈₉	—	4	4	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	—	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	—	8	2	no	—
641	C₂×C₄×C₈₉	—	8	2	no	—
642	C₂×C₄×C₈₉	—	8	2	no	—
643	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
644	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
645	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
646	C₂²⋊D₈₉	—	2	8	no	—
647	C₂²⋊D₈₉	—	4	4	no	—
648	C₂²⋊D₈₉	—	4	4	no	—
649	C₂²⋊D₈₉	—	4	4	no	—
650	C₂×Dic₈₉	—	2	8	no	—
651	C₂×Dic₈₉	—	2	8	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	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	—	4	4	no	—
691	C₂×Dic₈₉	—	4	4	no	—
692	C₂×Dic₈₉	—	4	4	no	—
693	C₂×Dic₈₉	—	4	4	no	—
694	C₂×Dic₈₉	—	4	4	no	—
695	C₂×Dic₈₉	—	8	2	no	—
696	C₂×Dic₈₉	—	8	2	no	—
697	C₂×Dic₈₉	—	8	2	no	—
698	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
699	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
700	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
701	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
702	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
703	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
704	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
705	C₄×D₈₉	—	4	4	no	—
706	C₄×D₈₉	—	8	2	no	—
707	C₄×D₈₉	—	8	2	no	—
708	Dic₁₇₈	—	4	4	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	—	2	2	no	—
715	C₂²×C₈₉	—	2	2	no	—
716	C₂²×C₈₉	—	2	2	no	—
717	C₂²×C₈₉	—	2	2	no	—
718	C₂²×C₈₉	—	2	2	no	—
719	C₂²×C₈₉	—	2	2	no	—
720	C₂²×C₈₉	—	2	2	no	—
721	C₂²×C₈₉	—	2	2	no	—
722	C₂²×C₈₉	—	2	2	no	—
723	C₂²×C₈₉	—	2	2	no	—
724	C₂²×C₈₉	—	4	16	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	—	4	1	no	—
732	C₂²×C₈₉	—	4	1	no	—
733	C₂²×C₈₉	—	4	1	no	—
734	C₂²×C₈₉	—	4	1	no	—
735	C₂²×C₈₉	—	4	1	no	—
736	C₂²×C₈₉	—	4	1	no	—
737	C₂²×C₈₉	#518	1	4	yes	—
738	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
739	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂²×C₈₉	#585	1	1	yes	characteristic
742	C₂²×C₈₉	#585	1	1	yes	characteristic
743	C₂²×C₈₉	#585	1	1	yes	characteristic
744	C₂²×C₈₉	#585	1	1	yes	characteristic
745	C₂×D₈₉	—	2	2	no	—
746	C₂×D₈₉	—	2	2	no	—
747	C₂×D₈₉	—	2	2	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	C₄×C₈₉	—	2	2	no	—
753	C₄×C₈₉	—	2	2	no	—
754	C₄×C₈₉	—	2	2	no	—
755	C₄×C₈₉	—	4	1	no	—
756	C₄×C₈₉	—	4	1	no	—
757	C₄×C₈₉	—	4	1	no	—
758	C₄×C₈₉	—	4	1	no	—
759	C₄×C₈₉	—	4	1	no	—
760	C₄×C₈₉	—	4	1	no	—
761	C₄×C₈₉	—	4	1	no	—
762	C₄×C₈₉	—	4	1	no	—
763	Dic₈₉	—	2	2	no	—
764	Dic₈₉	—	2	2	no	—
765	Dic₈₉	—	2	2	no	—
766	Dic₈₉	—	2	2	no	—
767	Dic₈₉	—	2	2	no	—
768	Dic₈₉	—	2	2	no	—
769	Dic₈₉	—	2	2	no	—
770	Dic₈₉	—	4	1	no	—
771	Dic₈₉	—	4	1	no	—
772	Dic₈₉	—	4	1	no	—
773	Dic₈₉	—	4	1	no	—
774	Dic₈₉	—	4	1	no	—
775	Dic₈₉	—	4	1	no	—
776	Dic₈₉	—	4	1	no	—
777	Dic₈₉	—	4	1	no	—
778	#34396	—	89	1	no	maximal, Sylow
779	C₂×C₈₉	—	2	4	no	—
780	C₂×C₈₉	—	4	2	no	—
781	C₂×C₈₉	—	4	2	no	—
782	C₂×C₈₉	—	4	2	no	—
783	C₂×C₈₉	C₂×#518	1	1	yes	characteristic
784	C₂×C₈₉	#3428	1	1	yes	characteristic
785	C₂×C₈₉	#3428	1	1	yes	characteristic
786	C₂×C₈₉	#3533	1	1	yes	characteristic
787	C₂×C₈₉	#3533	1	1	yes	characteristic
788	C₂×C₈₉	#3533	1	1	yes	characteristic
789	C₂×C₈₉	#3533	1	1	yes	characteristic
790	D₈₉	—	4	2	no	—
791	C₂×#525	—	89	1	no	—
792	#2378	—	89	1	no	—
793	#2378	—	89	1	no	—
794	#2377	—	89	1	no	—
795	#2377	—	89	1	no	—
796	#2359	—	89	1	no	—
797	#2359	—	89	1	no	—
798	#2359	—	89	1	no	—
799	#2359	—	89	1	no	—
800	#2357	—	89	1	no	—
801	#2357	—	89	1	no	—
802	#2353	—	89	1	no	—
803	#2353	—	89	1	no	—
804	#2343	—	89	1	no	—
805	#2343	—	89	1	no	—
806	#2339	—	89	1	no	—
807	#2339	—	89	1	no	—
808	#2333	—	89	1	no	—
809	#2333	—	89	1	no	—
810	#2332	—	89	1	no	—
811	#2332	—	89	1	no	—
812	#2321	—	89	1	no	—
813	#2321	—	89	1	no	—
814	#2321	—	89	1	no	—
815	#2321	D₈₉	1	1	yes	characteristic, complemented
816	#2319	—	89	1	no	—
817	#2319	—	89	1	no	—
818	#2318	—	89	1	no	—
819	#2318	—	89	1	no	—
820	#2280	—	89	1	no	—
821	C₂×#381	—	89	1	no	—
822	C₈₉	#34396	1	1	yes	characteristic, complemented, Sylow
823	C₂²×#41	—	89	1	no	—
824	C₂⁴×C₄	—	89	1	no	—
825	#525	—	89	16	no	—
826	C₂×#123	—	89	1	no	—
827	C₂×#123	—	89	1	no	—
828	C₂×C₂²⋊Q₈	—	89	1	no	—
829	C₂×C₂²⋊Q₈	—	89	1	no	—
830	C₂×#121	—	89	1	no	—
831	C₂×#121	—	89	1	no	—
832	C₂×#120	—	89	1	no	—
833	C₂×#120	C₂×D₈₉	1	1	yes	characteristic
834	C₂×C₄×D₄	—	89	1	no	—
835	C₂×C₄×D₄	—	89	1	no	—
836	C₂×C₄×D₄	—	89	1	no	—
837	C₂×C₄×D₄	—	89	1	no	—
838	C₂×C₄×D₄	—	89	1	no	—
839	C₂×C₄×D₄	—	89	1	no	—
840	C₂×C₄×D₄	—	89	1	no	—
841	C₂×C₄×D₄	C₂×D₈₉	1	1	yes	characteristic
842	C₂×#117	—	89	1	no	—
843	C₂×#117	—	89	1	no	—
844	C₂×#117	—	89	1	no	—
845	C₂²×C₂²⋊C₄	—	89	1	no	—
846	C₂²×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
847	#391	—	89	1	no	—
848	#391	—	89	1	no	—
849	#391	—	89	1	no	—
850	#391	—	89	1	no	—
851	#390	—	89	1	no	—
852	#390	—	89	1	no	—
853	#390	—	89	1	no	—
854	#390	—	89	1	no	—
855	#390	—	89	1	no	—
856	#390	—	89	1	no	—
857	#390	C₂×D₈₉	1	1	yes	characteristic
858	#390	C₂×D₈₉	1	1	yes	characteristic
859	#389	—	89	1	no	—
860	#389	—	89	1	no	—
861	#389	—	89	1	no	—
862	#389	—	89	1	no	—
863	#388	—	89	1	no	—
864	#388	—	89	1	no	—
865	#388	—	89	1	no	—
866	#388	—	89	1	no	—
867	#388	—	89	1	no	—
868	#388	—	89	1	no	—
869	#388	—	89	1	no	—
870	#388	—	89	1	no	—
871	#388	—	89	1	no	—
872	#388	—	89	1	no	—
873	#388	—	89	1	no	—
874	#388	—	89	1	no	—
875	#388	—	89	1	no	—
876	#388	—	89	1	no	—
877	#388	—	89	1	no	—
878	#388	—	89	1	no	—
879	#388	—	89	1	no	—
880	#388	—	89	1	no	—
881	#388	—	89	1	no	—
882	#388	—	89	1	no	—
883	#388	C₂×D₈₉	1	1	yes	characteristic
884	#388	C₂×D₈₉	1	1	yes	characteristic
885	#388	C₂×D₈₉	1	1	yes	characteristic
886	#388	C₂×D₈₉	1	1	yes	characteristic
887	#387	—	89	1	no	—
888	#387	—	89	1	no	—
889	#387	—	89	1	no	—
890	#387	—	89	1	no	—
891	#387	—	89	1	no	—
892	#387	—	89	1	no	—
893	#387	—	89	1	no	—
894	#387	—	89	1	no	—
895	#387	—	89	1	no	—
896	#387	—	89	1	no	—
897	#387	—	89	1	no	—
898	#387	—	89	1	no	—
899	#387	—	89	1	no	—
900	#387	—	89	1	no	—
901	#387	—	89	1	no	—
902	#387	—	89	1	no	—
903	#386	—	89	1	no	—
904	#386	—	89	1	no	—
905	#386	—	89	1	no	—
906	#386	—	89	1	no	—
907	#386	—	89	1	no	—
908	#386	—	89	1	no	—
909	#386	—	89	1	no	—
910	#386	—	89	1	no	—
911	#386	—	89	1	no	—
912	#386	—	89	1	no	—
913	#386	—	89	1	no	—
914	#386	—	89	1	no	—
915	#386	—	89	1	no	—
916	#386	C₂×D₈₉	1	1	yes	characteristic
917	#386	C₂×D₈₉	1	1	yes	characteristic
918	#386	C₂×D₈₉	1	1	yes	characteristic
919	#385	—	89	1	no	—
920	#385	—	89	1	no	—
921	#385	—	89	1	no	—
922	#385	—	89	1	no	—
923	#385	—	89	1	no	—
924	#385	—	89	1	no	—
925	#385	—	89	1	no	—
926	#385	C₂×D₈₉	1	1	yes	characteristic
927	#383	—	89	1	no	—
928	#383	—	89	1	no	—
929	#382	—	89	1	no	—
930	#382	—	89	1	no	—
931	#381	—	89	1	no	—
932	#381	—	89	1	no	—
933	#381	—	89	1	no	—
934	#381	—	89	1	no	—
935	#381	—	89	1	no	—
936	#381	—	89	1	no	—
937	#381	—	89	1	no	—
938	#381	—	89	1	no	—
939	#381	—	89	1	no	—
940	#381	—	89	1	no	—
941	#381	—	89	1	no	—
942	#381	—	89	1	no	—
943	#380	—	89	1	no	—
944	#380	—	89	1	no	—
945	#380	—	89	1	no	—
946	#380	—	89	1	no	—
947	#380	—	89	1	no	—
948	#380	—	89	1	no	—
949	#379	—	89	1	no	—
950	#379	C₂×D₈₉	1	1	yes	characteristic
951	C₄×C₄⋊C₄	—	89	1	no	—
952	C₄×C₄⋊C₄	—	89	1	no	—
953	C₄×C₄⋊C₄	—	89	1	no	—
954	C₄×C₄⋊C₄	—	89	1	no	—
955	C₄×C₄⋊C₄	—	89	1	no	—
956	C₄×C₄⋊C₄	—	89	1	no	—
957	C₄×C₂²⋊C₄	—	89	1	no	—
958	C₄×C₂²⋊C₄	—	89	1	no	—
959	C₄×C₂²⋊C₄	—	89	1	no	—
960	C₄×C₂²⋊C₄	—	89	1	no	—
961	C₄×C₂²⋊C₄	—	89	1	no	—
962	C₄×C₂²⋊C₄	—	89	1	no	—
963	C₄×C₂²⋊C₄	—	89	1	no	—
964	C₄×C₂²⋊C₄	—	89	1	no	—
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	C₂×D₈₉	1	1	yes	characteristic
971	#376	—	89	1	no	—
972	#376	—	89	1	no	—
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	C₂⁵	C₂²×D₈₉	1	1	yes	characteristic
980	C₂×#41	—	89	8	no	—
981	C₂×#41	—	356	2	no	—
982	C₂×#41	—	356	2	no	—
983	C₂²×Q₈	—	89	1	no	—
984	C₂²×D₄	—	89	1	no	—
985	C₂²×D₄	—	89	1	no	—
986	C₂²×D₄	—	89	1	no	—
987	C₂²×D₄	—	89	1	no	—
988	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
989	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
990	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
991	C₂³×C₄	—	89	8	no	—
992	C₂³×C₄	—	89	1	no	—
993	C₂³×C₄	—	89	1	no	—
994	C₂³×C₄	—	89	1	no	—
995	C₂³×C₄	—	89	1	no	—
996	C₂³×C₄	—	89	1	no	—
997	C₂³×C₄	—	89	1	no	—
998	C₂³×C₄	—	89	1	no	—
999	C₂³×C₄	—	89	1	no	—
1000	C₂³×C₄	—	89	1	no	—
1001	C₂³×C₄	—	89	1	no	—
1002	C₂³×C₄	—	89	1	no	—
1003	C₂³×C₄	—	89	1	no	—
1004	C₂³×C₄	—	89	1	no	—
1005	C₂³×C₄	—	356	2	no	—
1006	C₂³×C₄	—	356	2	no	—
1007	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1008	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1009	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1010	#123	—	89	8	no	—
1011	#123	—	89	8	no	—
1012	C₂²⋊Q₈	—	89	8	no	—
1013	C₂²⋊Q₈	—	89	8	no	—
1014	#121	—	89	8	no	—
1015	#121	—	89	8	no	—
1016	#120	—	89	8	no	—
1017	#120	C₄×D₈₉	1	8	yes	complemented
1018	C₄×D₄	—	4	2	no	—
1019	C₄×D₄	—	89	8	no	—
1020	C₄×D₄	—	89	8	no	—
1021	C₄×D₄	—	89	8	no	—
1022	C₄×D₄	—	89	8	no	—
1023	C₄×D₄	—	356	2	no	—
1024	C₄×D₄	—	356	2	no	—
1025	C₄×D₄	—	356	2	no	—
1026	#117	—	89	8	no	—
1027	#117	—	356	2	no	—
1028	#117	—	356	2	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	—	89	1	no	—
1039	C₂×C₄⋊C₄	—	89	1	no	—
1040	C₂×C₄⋊C₄	—	89	1	no	—
1041	C₂×C₄⋊C₄	—	89	1	no	—
1042	C₂×C₄⋊C₄	—	89	1	no	—
1043	C₂×C₄⋊C₄	—	89	1	no	—
1044	C₂×C₄⋊C₄	—	89	1	no	—
1045	C₂×C₄⋊C₄	—	89	1	no	—
1046	C₂×C₄⋊C₄	—	89	1	no	—
1047	C₂×C₄⋊C₄	—	89	1	no	—
1048	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	—	4	2	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	—	356	2	no	—
1079	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
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×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	—	89	1	no	—
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	—	89	1	no	—
1110	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
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	C₂⁴	—	2	2	no	—
1162	C₂⁴	—	2	2	no	—
1163	C₂⁴	—	4	1	no	—
1164	C₂⁴	—	4	1	no	—
1165	C₂⁴	—	4	1	no	—
1166	C₂⁴	—	4	1	no	—
1167	C₂⁴	—	89	1	no	—
1168	C₂⁴	C₂×C₄×D₈₉	1	4	yes	—
1169	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1170	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1171	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1172	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1173	#41	—	356	16	no	—
1174	C₂×Q₈	—	89	4	no	—
1175	C₂×Q₈	—	356	1	no	—
1176	C₂×Q₈	—	356	1	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	89	4	no	—
1184	C₂×D₄	—	89	4	no	—
1185	C₂×D₄	—	89	4	no	—
1186	C₂×D₄	—	89	4	no	—
1187	C₂×D₄	—	356	1	no	—
1188	C₂×D₄	—	356	1	no	—
1189	C₂×D₄	—	356	1	no	—
1190	C₂×D₄	—	356	1	no	—
1191	C₂×D₄	—	356	1	no	—
1192	C₂×D₄	—	356	1	no	—
1193	C₂×D₄	—	178	2	no	—
1194	C₂×D₄	—	178	2	no	—
1195	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1196	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1197	C₂×D₄	C₂×C₄×D₈₉	1	4	yes	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	89	4	no	—
1208	C₂²×C₄	—	89	4	no	—
1209	C₂²×C₄	—	89	4	no	—
1210	C₂²×C₄	—	89	4	no	—
1211	C₂²×C₄	—	89	4	no	—
1212	C₂²×C₄	—	89	4	no	—
1213	C₂²×C₄	—	89	4	no	—
1214	C₂²×C₄	—	89	1	no	—
1215	C₂²×C₄	—	89	1	no	—
1216	C₂²×C₄	—	89	1	no	—
1217	C₂²×C₄	—	89	1	no	—
1218	C₂²×C₄	—	89	1	no	—
1219	C₂²×C₄	—	89	1	no	—
1220	C₂²×C₄	—	89	1	no	—
1221	C₂²×C₄	—	89	4	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	—	356	1	no	—
1231	C₂²×C₄	—	356	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	1	no	—
1237	C₂²×C₄	—	356	1	no	—
1238	C₂²×C₄	—	356	1	no	—
1239	C₂²×C₄	—	356	1	no	—
1240	C₂²×C₄	—	356	1	no	—
1241	C₂²×C₄	—	356	1	no	—
1242	C₂²×C₄	—	356	1	no	—
1243	C₂²×C₄	—	356	1	no	—
1244	C₂²×C₄	—	356	1	no	—
1245	C₂²×C₄	—	356	1	no	—
1246	C₂²×C₄	—	356	16	no	—
1247	C₂²×C₄	—	356	1	no	—
1248	C₂²×C₄	—	356	1	no	—
1249	C₂²×C₄	—	356	1	no	—
1250	C₂²×C₄	—	356	1	no	—
1251	C₂²×C₄	—	356	1	no	—
1252	C₂²×C₄	—	356	1	no	—
1253	C₂²×C₄	—	356	1	no	—
1254	C₂²×C₄	—	356	1	no	—
1255	C₂²×C₄	—	356	1	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	C₂³×D₈₉	1	1	yes	characteristic
1263	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1264	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1265	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1266	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1267	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1268	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1269	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1270	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1271	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1272	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	89	4	no	—
1277	C₄⋊C₄	—	89	4	no	—
1278	C₄⋊C₄	—	89	4	no	—
1279	C₄⋊C₄	—	89	4	no	—
1280	C₄⋊C₄	—	89	4	no	—
1281	C₄⋊C₄	—	89	4	no	—
1282	C₄⋊C₄	—	356	1	no	—
1283	C₄⋊C₄	—	356	1	no	—
1284	C₄⋊C₄	—	356	1	no	—
1285	C₄⋊C₄	—	356	1	no	—
1286	C₄⋊C₄	—	356	1	no	—
1287	C₄⋊C₄	—	356	1	no	—
1288	C₄⋊C₄	—	356	1	no	—
1289	C₄⋊C₄	—	356	1	no	—
1290	C₄⋊C₄	—	356	1	no	—
1291	C₄⋊C₄	—	356	1	no	—
1292	C₄⋊C₄	—	356	1	no	—
1293	C₄⋊C₄	—	356	1	no	—
1294	C₄⋊C₄	—	356	1	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	89	4	no	—
1309	C₂²⋊C₄	—	89	4	no	—
1310	C₂²⋊C₄	—	89	4	no	—
1311	C₂²⋊C₄	—	89	4	no	—
1312	C₂²⋊C₄	—	89	4	no	—
1313	C₂²⋊C₄	—	89	4	no	—
1314	C₂²⋊C₄	—	89	4	no	—
1315	C₂²⋊C₄	—	356	1	no	—
1316	C₂²⋊C₄	—	356	1	no	—
1317	C₂²⋊C₄	—	356	1	no	—
1318	C₂²⋊C₄	—	356	1	no	—
1319	C₂²⋊C₄	—	356	1	no	—
1320	C₂²⋊C₄	—	356	1	no	—
1321	C₂²⋊C₄	—	356	1	no	—
1322	C₂²⋊C₄	—	356	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	—	178	2	no	—
1333	C₂²⋊C₄	—	178	2	no	—
1334	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1335	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1336	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1337	C₄²	—	4	1	no	—
1338	C₄²	—	4	1	no	—
1339	C₄²	—	4	1	no	—
1340	C₄²	—	89	4	no	—
1341	C₄²	—	89	4	no	—
1342	C₄²	—	356	1	no	—
1343	C₄²	—	356	1	no	—
1344	C₄²	—	356	1	no	—
1345	C₄²	—	356	1	no	—
1346	C₄²	—	356	1	no	—
1347	C₄²	—	356	1	no	—
1348	C₄²	—	356	1	no	—
1349	C₄²	—	356	1	no	—
1350	C₄²	—	356	1	no	—
1351	C₄²	—	356	1	no	—
1352	C₄²	—	356	1	no	—
1353	C₄²	—	356	1	no	—
1354	C₄²	—	356	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	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	—	2	8	no	—
1378	C₂³	—	4	4	no	—
1379	C₂³	—	4	4	no	—
1380	C₂³	—	4	4	no	—
1381	C₂³	—	4	4	no	—
1382	C₂³	—	4	4	no	—
1383	C₂³	—	4	4	no	—
1384	C₂³	—	89	2	no	—
1385	C₂³	—	178	1	no	—
1386	C₂³	—	178	1	no	—
1387	C₂³	—	178	1	no	—
1388	C₂³	—	178	1	no	—
1389	C₂³	—	178	1	no	—
1390	C₂³	—	178	1	no	—
1391	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1392	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1393	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1394	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1395	C₂³	#15668057	1	2	yes	—
1396	C₂³	#15668058	1	2	yes	—
1397	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1398	Q₈	—	356	4	no	—
1399	D₄	—	2	8	no	—
1400	D₄	—	4	4	no	—
1401	D₄	—	4	4	no	—
1402	D₄	—	356	4	no	—
1403	D₄	—	356	4	no	—
1404	D₄	—	356	4	no	—
1405	D₄	—	178	8	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	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	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	—	8	2	no	—
1437	C₂×C₄	—	8	2	no	—
1438	C₂×C₄	—	8	2	no	—
1439	C₂×C₄	—	89	2	no	—
1440	C₂×C₄	—	89	2	no	—
1441	C₂×C₄	—	89	2	no	—
1442	C₂×C₄	—	89	2	no	—
1443	C₂×C₄	—	89	2	no	—
1444	C₂×C₄	—	89	2	no	—
1445	C₂×C₄	—	89	2	no	—
1446	C₂×C₄	—	356	4	no	—
1447	C₂×C₄	—	356	4	no	—
1448	C₂×C₄	—	356	4	no	—
1449	C₂×C₄	—	356	4	no	—
1450	C₂×C₄	—	356	4	no	—
1451	C₂×C₄	—	356	4	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	1	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	8	no	—
1491	C₂×C₄	—	178	8	no	—
1492	C₂×C₄	—	712	2	no	—
1493	C₂×C₄	—	712	2	no	—
1494	C₂×C₄	—	712	2	no	—
1495	C₂×C₄	—	712	2	no	—
1496	C₂×C₄	—	712	2	no	—
1497	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1498	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1499	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	2	2	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	2	2	no	—
1507	C₂²	—	2	2	no	—
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	2	no	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	2	2	no	—
1514	C₂²	—	2	2	no	—
1515	C₂²	—	4	16	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	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	—	356	1	no	—
1529	C₂²	—	356	1	no	—
1530	C₂²	—	356	1	no	—
1531	C₂²	—	356	1	no	—
1532	C₂²	—	178	2	no	—
1533	C₂²	—	178	2	no	—
1534	C₂²	—	178	2	no	—
1535	C₂²	#19152070	1	4	yes	—
1536	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1537	C₂²	C₂×#15668057	1	1	yes	characteristic
1538	C₂²	C₂×#15668058	1	1	yes	characteristic
1539	C₂²	#19152433	1	1	yes	characteristic
1540	C₂²	#19152433	1	1	yes	characteristic
1541	C₂²	#19152433	1	1	yes	characteristic
1542	C₂²	#19152433	1	1	yes	characteristic
1543	C₄	—	2	2	no	—
1544	C₄	—	2	2	no	—
1545	C₄	—	2	2	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	4	1	no	—
1552	C₄	—	4	1	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	356	1	no	—
1555	C₄	—	356	1	no	—
1556	C₄	—	356	1	no	—
1557	C₄	—	356	1	no	—
1558	C₄	—	356	1	no	—
1559	C₄	—	356	1	no	—
1560	C₄	—	356	1	no	—
1561	C₄	—	356	1	no	—
1562	C₄	—	178	2	no	—
1563	C₄	—	178	2	no	—
1564	C₄	—	178	2	no	—
1565	C₄	—	178	2	no	—
1566	C₄	—	178	2	no	—
1567	C₄	—	178	2	no	—
1568	C₄	—	178	2	no	—
1569	C₂	—	2	4	no	—
1570	C₂	—	4	2	no	—
1571	C₂	—	4	2	no	—
1572	C₂	—	4	2	no	—
1573	C₂	—	356	2	no	—
1574	C₂	C₂×#19152070	1	1	yes	characteristic
1575	C₂	#26033450	1	1	yes	characteristic
1576	C₂	#26033450	1	1	yes	characteristic
1577	C₂	#26034413	1	1	yes	characteristic
1578	C₂	#26034420	1	1	yes	characteristic
1579	C₂	#26034420	1	1	yes	characteristic
1580	C₂	#26034425	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2321	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂×#19152104	C₂
hypercenter	#2321	D₈₉
hypocenter	C₈₉	#34396
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2321

Complements

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

N	H ≅ G/N	type
2. #26023419	C₂	semidirect
3. #26023412	C₂	semidirect
4. #26023410	C₂	semidirect
5. #26023403	C₂	semidirect
6. #26023250	C₂	semidirect
7. #26023246	C₂	semidirect
8. #26023242	C₂	semidirect
9. #26023238	C₂	semidirect
10. #26023224	C₂	semidirect
11. #26023222	C₂	semidirect
12. #26023190	C₂	semidirect
13. #26023187	C₂	semidirect
14. #26023110	C₂	semidirect
15. #26023106	C₂	semidirect
16. #26023078	C₂	semidirect
17. #26023077	C₂	semidirect
18. #26023018	C₂	semidirect
19. #26023011	C₂	semidirect
20. #26023009	C₂	semidirect
21. #26023002	C₂	semidirect
22. #26022913	C₂	semidirect
23. #26022910	C₂	semidirect
24. #26022907	C₂	semidirect
25. #26022893	C₂	semidirect
26. #26022889	C₂	semidirect
27. #26022882	C₂	semidirect
28. #26022878	C₂	semidirect
29. #26022630	C₂	semidirect
30. C₂×#19151459	C₂	semidirect
31. C₈₉×#2321	C₂	semidirect
34. #19152104	C₄	semidirect
53. #19151504	C₂²	semidirect
54. #19151503	C₂²	semidirect
55. #19151502	C₂²	semidirect
56. #19151502	C₂²	semidirect
63. #19151496	C₂²	semidirect
64. #19151495	C₂²	semidirect
65. #19151494	C₂²	semidirect
66. #19151493	C₂²	semidirect
71. #19151492	C₂²	semidirect
72. #19151492	C₂²	semidirect
77. #19151490	C₂²	semidirect
78. #19151489	C₂²	semidirect
79. #19151488	C₂²	semidirect
80. #19151487	C₂²	semidirect
85. #19151486	C₂²	semidirect
86. #19151486	C₂²	semidirect
87. #19151485	C₂²	semidirect
88. #19151485	C₂²	semidirect
89. #19151485	C₂²	semidirect
90. #19151483	C₂²	semidirect
91. #19151483	C₂²	semidirect
92. #19151482	C₂²	semidirect
93. #19151482	C₂²	semidirect
94. #19151482	C₂²	semidirect
95. #19151481	C₂²	semidirect
96. #19151481	C₂²	semidirect
97. #19151480	C₂²	semidirect
98. #19151480	C₂²	semidirect
99. #19151480	C₂²	semidirect
100. #19151479	C₂²	semidirect
101. #19151479	C₂²	semidirect
102. #19151479	C₂²	semidirect
107. #19151477	C₂²	semidirect
109. #19151475	C₂²	semidirect
114. #19151474	C₂²	semidirect
115. #19151474	C₂²	semidirect
117. #19151472	C₂²	semidirect
119. #19151471	C₂²	semidirect
121. #19151470	C₂²	semidirect
122. #19151469	C₂²	semidirect
123. #19151465	C₂²	semidirect
124. #19151465	C₂²	semidirect
125. #19151463	C₂²	semidirect
126. #19151462	C₂²	semidirect
127. #19151460	C₂²	semidirect
138. #19151459	C₂²	semidirect
143. #19151456	C₂²	semidirect
144. #19151455	C₂²	semidirect
146. C₄⋊C₄×Dic₈₉	C₂²	semidirect
147. C₄⋊C₄×Dic₈₉	C₂²	semidirect
148. C₄×#13083553	C₂²	semidirect
149. C₄×#13083553	C₂²	semidirect
150. C₄×C₄⋊Dic₈₉	C₂²	semidirect
151. #19151449	C₂²	semidirect
158. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
159. C₂²⋊C₄×Dic₈₉	C₂²	semidirect
160. C₄×#13083551	C₂²	semidirect
161. C₄×#13083551	C₂²	semidirect
163. C₄×C₂²⋊Dic₈₉	C₂²	semidirect
164. #19151445	C₂²	semidirect
165. #19151444	C₂²	semidirect
166. #19151443	C₂²	semidirect
171. C₂×#15667919	C₂²	semidirect
172. #95×D₈₉	C₂²	semidirect
198. C₂³×Dic₈₉	C₂×C₄	semidirect
212. #15667996	C₂×C₄	semidirect
213. #15667993	C₂×C₄	semidirect
214. #15667989	C₂×C₄	semidirect
215. #15667989	C₂×C₄	semidirect
216. #15667984	C₂×C₄	semidirect
217. #15667984	C₂×C₄	semidirect
218. #15667981	C₂×C₄	semidirect
220. D₄×Dic₈₉	C₂×C₄	semidirect
221. D₄×Dic₈₉	C₂×C₄	semidirect
224. #15667972	C₂×C₄	semidirect
225. #15667972	C₂×C₄	semidirect
228. #15667968	C₂×C₄	semidirect
339. #120×C₈₉	C₂×C₄	semidirect
815. #2321	D₈₉	semidirect
822. C₈₉	#34396	semidirect
1017. #120	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×#19152104	2
#26023419	2
#26023412	2
#26023410	2
#26023403	2
#26023250	2
#26023246	2
#26023242	2
#26023238	2
#26023224	2
#26023222	2
#26023190	2
#26023187	2
#26023110	2
#26023106	2
#26023078	2
#26023077	2
#26023018	2
#26023011	2
#26023009	2
#26023002	2
#26022913	2
#26022910	2
#26022907	2
#26022893	2
#26022889	2
#26022882	2
#26022878	2
#26022630	2
C₂×#19151459	2
C₈₉×#2321	2
#34396	89