Subgroups — #36715642

Order 22784.

2570 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152223	C₂	1	1	yes	maximal, characteristic
2	#26023337	C₂	1	1	yes	maximal, characteristic, complemented
3	#26023336	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023335	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023334	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023333	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023331	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023330	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023329	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023258	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023257	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023256	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023254	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023254	C₂	1	1	yes	maximal, characteristic, complemented
15	#26023253	C₂	1	1	yes	maximal, characteristic, complemented
16	#26023252	C₂	1	1	yes	maximal, characteristic, complemented
17	#26022986	C₂	1	1	yes	maximal, characteristic, complemented
18	#26022986	C₂	1	1	yes	maximal, characteristic, complemented
19	#26022984	C₂	1	1	yes	maximal, characteristic, complemented
20	#26022981	C₂	1	1	yes	maximal, characteristic, complemented
21	#26022863	C₂	1	1	yes	maximal, characteristic
22	#26022786	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#15667990	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022782	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#15667988	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#19151469	C₂	1	1	yes	maximal, characteristic
27	#385×D₈₉	C₂	1	1	yes	maximal, characteristic
28	#26022604	C₂	1	1	yes	maximal, characteristic
29	#26022604	C₂	1	1	yes	maximal, characteristic
30	C₄×C₂²⋊C₄×D₈₉	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2360	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
33	#19152223	C₄	1	16	yes	complemented
34	C₂×#15667992	C₂²	1	1	yes	characteristic
35	C₂×#15667992	C₂²	1	1	yes	characteristic
36	C₂×#15667991	C₂²	1	1	yes	characteristic
37	C₂×#15667990	C₂²	1	1	yes	characteristic
38	C₂×#15667990	C₂²	1	1	yes	characteristic
39	C₂×#15667990	C₂²	1	1	yes	characteristic
40	C₂×#15667990	C₂²	1	1	yes	characteristic
41	C₂×#15667989	C₂²	1	1	yes	characteristic
42	C₂×#15667989	C₂²	1	1	yes	characteristic
43	C₂×#15667988	C₂²	1	1	yes	characteristic
44	C₂×#15667988	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₁₇₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
47	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#13083553	C₂²	1	1	yes	characteristic
49	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
51	C₂²×#13083551	C₂²	1	1	yes	characteristic
52	C₂²×#13083551	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
59	#19151505	C₂²	1	1	yes	characteristic, complemented
60	#19151505	C₂²	1	1	yes	characteristic, complemented
61	#19151504	C₂²	1	1	yes	characteristic, complemented
62	#19151503	C₂²	1	1	yes	characteristic, complemented
63	#19151503	C₂²	1	1	yes	characteristic, complemented
64	#19151502	C₂²	1	1	yes	characteristic, complemented
65	#19151502	C₂²	1	1	yes	characteristic, complemented
66	#19151502	C₂²	1	1	yes	characteristic, complemented
67	#19151502	C₂²	1	1	yes	characteristic, complemented
68	#19151502	C₂²	1	1	yes	characteristic, complemented
69	#19151502	C₂²	1	1	yes	characteristic, complemented
70	#19151496	C₂²	1	1	yes	characteristic, complemented
71	#19151495	C₂²	1	1	yes	characteristic, complemented
72	#19151495	C₂²	1	1	yes	characteristic, complemented
73	#19151494	C₂²	1	1	yes	characteristic, complemented
74	#19151494	C₂²	1	1	yes	characteristic, complemented
75	#19151493	C₂²	1	1	yes	characteristic, complemented
76	#19151493	C₂²	1	1	yes	characteristic, complemented
77	#19151493	C₂²	1	1	yes	characteristic, complemented
78	#19151493	C₂²	1	1	yes	characteristic, complemented
79	#19151485	C₂²	1	1	yes	characteristic, complemented
80	#19151485	C₂²	1	1	yes	characteristic, complemented
81	#19151484	C₂²	1	1	yes	characteristic, complemented
82	#19151484	C₂²	1	1	yes	characteristic, complemented
83	#19151484	C₂²	1	1	yes	characteristic, complemented
84	#19151484	C₂²	1	1	yes	characteristic, complemented
85	#19151483	C₂²	1	1	yes	characteristic, complemented
86	#19151483	C₂²	1	1	yes	characteristic, complemented
87	#19151482	C₂²	1	1	yes	characteristic, complemented
88	#19151482	C₂²	1	1	yes	characteristic, complemented
89	#19151482	C₂²	1	1	yes	characteristic, complemented
90	#19151482	C₂²	1	1	yes	characteristic, complemented
91	#19151481	C₂²	1	1	yes	characteristic, complemented
92	#19151481	C₂²	1	1	yes	characteristic, complemented
93	#19151481	C₂²	1	1	yes	characteristic, complemented
94	#19151481	C₂²	1	1	yes	characteristic, complemented
95	#19151480	C₂²	1	1	yes	characteristic, complemented
96	#19151480	C₂²	1	1	yes	characteristic, complemented
97	#19151479	C₂²	1	1	yes	characteristic, complemented
98	#19151479	C₂²	1	1	yes	characteristic, complemented
99	#19151479	C₂²	1	1	yes	characteristic, complemented
100	#19151479	C₂²	1	1	yes	characteristic, complemented
101	#19151473	C₂²	1	1	yes	characteristic
102	#19151473	C₂²	1	1	yes	characteristic
103	#19151472	C₂²	1	1	yes	characteristic
104	#19151472	C₂²	1	1	yes	characteristic
105	#19151472	C₂²	1	1	yes	characteristic
106	#19151472	C₂²	1	1	yes	characteristic
107	#19151471	C₂²	1	1	yes	characteristic
108	#19151471	C₂²	1	1	yes	characteristic
109	#19151470	C₂²	1	1	yes	characteristic
110	#19151470	C₂²	1	1	yes	characteristic
111	#19151469	C₂²	1	1	yes	characteristic
112	#19151469	C₂²	1	1	yes	characteristic
113	#19151469	C₂²	1	1	yes	characteristic
114	#19151469	C₂²	1	1	yes	characteristic
115	#19151469	C₂²	1	1	yes	characteristic
116	#19151469	C₂²	1	1	yes	characteristic
117	#19151469	C₂²	1	1	yes	characteristic
118	#19151469	C₂²	1	1	yes	characteristic
119	#19151469	C₂²	1	1	yes	characteristic
120	#19151469	C₂²	1	1	yes	characteristic
121	#19151469	C₂²	1	1	yes	characteristic
122	#19151469	C₂²	1	1	yes	characteristic
123	#19151457	C₂²	1	1	yes	characteristic
124	#19151457	C₂²	1	1	yes	characteristic
125	#19151455	C₂²	1	1	yes	characteristic
126	#19151455	C₂²	1	1	yes	characteristic
127	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
128	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
129	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
130	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
131	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
132	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
133	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
134	C₄×#13083553	C₂²	1	1	yes	characteristic, complemented
135	C₄×C₄⋊Dic₈₉	C₂²	1	1	yes	characteristic, complemented
136	#19151449	C₂²	1	1	yes	characteristic, complemented
137	#19151449	C₂²	1	1	yes	characteristic, complemented
138	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
140	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
141	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
142	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
143	C₂²⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic
144	C₄×#13083551	C₂²	1	1	yes	characteristic
145	C₄×#13083551	C₂²	1	1	yes	characteristic
146	C₄×#13083551	C₂²	1	1	yes	characteristic
147	C₄×#13083551	C₂²	1	1	yes	characteristic
148	C₄×#13083551	C₂²	1	1	yes	characteristic
149	C₄×#13083551	C₂²	1	1	yes	characteristic
150	C₄×#13083551	C₂²	1	1	yes	characteristic
151	C₄×#13083551	C₂²	1	1	yes	characteristic
152	C₄×#13083551	C₂²	1	1	yes	characteristic
153	C₄×#13083551	C₂²	1	1	yes	characteristic
154	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
155	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
156	C₄×C₂²⋊Dic₈₉	C₂²	1	1	yes	characteristic
157	#19151445	C₂²	1	1	yes	characteristic
158	#19151445	C₂²	1	1	yes	characteristic
159	#19151445	C₂²	1	1	yes	characteristic
160	#19151445	C₂²	1	1	yes	characteristic
161	#19151445	C₂²	1	1	yes	characteristic
162	#19151445	C₂²	1	1	yes	characteristic
163	#19151445	C₂²	1	1	yes	characteristic
164	#19151445	C₂²	1	1	yes	characteristic
165	#19151445	C₂²	1	1	yes	characteristic
166	#19151445	C₂²	1	1	yes	characteristic
167	C₂×#15667919	C₂²	1	1	yes	characteristic
168	C₂×#15667919	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	#95×D₈₉	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
174	C₂×C₄×Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
176	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#385×C₈₉	C₂²	1	1	yes	characteristic
183	#385×C₈₉	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₈₉	C₂²	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	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
193	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₈₉	—	2	4	no	—
196	C₂²×C₄×D₈₉	—	4	2	no	—
197	C₂²×C₄×D₈₉	—	4	2	no	—
198	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	#15667992	C₂×C₄	1	8	yes	complemented
211	#15667992	C₂×C₄	1	8	yes	complemented
212	#15667991	C₂×C₄	1	8	yes	complemented
213	#15667990	C₂×C₄	1	8	yes	complemented
214	#15667990	C₂×C₄	1	8	yes	complemented
215	#15667990	C₂×C₄	1	8	yes	complemented
216	#15667990	C₂×C₄	1	8	yes	complemented
217	#15667989	C₂×C₄	1	8	yes	complemented
218	#15667989	C₂×C₄	1	8	yes	complemented
219	#15667988	C₂×C₄	1	8	yes	complemented
220	#15667988	C₂×C₄	1	8	yes	complemented
221	C₄×Dic₁₇₈	—	4	2	no	—
222	#15667977	—	4	2	no	—
223	#15667977	—	4	2	no	—
224	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
231	C₂×#13083553	—	4	2	no	—
232	C₂×#13083553	C₂³	1	1	yes	characteristic
233	C₂×#13083553	C₂³	1	1	yes	characteristic
234	C₂×#13083553	C₂³	1	1	yes	characteristic
235	C₂×#13083553	C₂³	1	1	yes	characteristic
236	C₂×#13083553	C₂³	1	1	yes	characteristic
237	C₂×#13083553	C₂³	1	1	yes	characteristic
238	C₂×#13083553	C₂³	1	1	yes	characteristic
239	C₂×#13083553	C₂³	1	1	yes	characteristic
240	C₂×#13083553	C₂³	1	1	yes	characteristic
241	C₂×#13083553	C₂³	1	1	yes	characteristic
242	C₂×#13083553	C₂³	1	1	yes	characteristic
243	C₂×#13083553	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₄⋊C₄×D₈₉	—	4	2	no	—
251	C₄⋊C₄×D₈₉	—	4	2	no	—
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×#13083551	—	2	4	no	—
257	C₂×#13083551	C₂×C₄	1	8	yes	—
258	C₂×#13083551	C₂³	1	1	yes	characteristic
259	C₂×#13083551	C₂³	1	1	yes	characteristic
260	C₂×#13083551	C₂³	1	1	yes	characteristic
261	C₂×#13083551	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×#13083551	C₂³	1	1	yes	characteristic
274	C₂²⋊C₄×D₈₉	—	2	4	no	—
275	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	—
276	C₂²⋊C₄×D₈₉	C₂×C₄	1	8	yes	—
277	C₂²⋊C₄×D₈₉	Q₈	1	8	yes	complemented
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	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
296	C₄²×D₈₉	—	4	2	no	—
297	C₄²×D₈₉	—	4	2	no	—
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	#15667919	C₂³	1	1	yes	characteristic
335	#15667919	C₂³	1	1	yes	characteristic
336	C₂²×Q₈×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	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂²⋊Q₈×C₈₉	C₂×C₄	1	8	yes	complemented
341	C₄×Q₈×C₈₉	—	4	2	no	—
342	C₂×C₄⋊C₄×C₈₉	—	4	2	no	—
343	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊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×C₄²×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
362	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	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	C₂³×D₈₉	—	4	1	no	—
375	C₂³×D₈₉	—	4	1	no	—
376	C₂³×D₈₉	—	4	1	no	—
377	C₂³×D₈₉	—	4	1	no	—
378	C₂³×D₈₉	C₂²×C₄	1	4	yes	—
379	C₂³×D₈₉	C₂×Q₈	1	4	yes	—
380	C₂³×D₈₉	#41	1	4	yes	—
381	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
382	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₇₈	—	4	1	no	—
384	C₂×Dic₁₇₈	—	4	1	no	—
385	C₂×Dic₁₇₈	—	4	1	no	—
386	C₂×Dic₁₇₈	—	4	1	no	—
387	C₂×Dic₁₇₈	—	4	1	no	—
388	C₂×Dic₁₇₈	—	4	1	no	—
389	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	complemented
390	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	complemented
391	C₂×Dic₁₇₈	C₂²×C₄	1	4	yes	complemented
392	C₂²×Dic₈₉	—	2	2	no	—
393	C₂²×Dic₈₉	—	2	2	no	—
394	C₂²×Dic₈₉	—	2	2	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	C₂²×C₄	1	4	yes	—
401	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₈₉	—	2	2	no	—
416	C₂×C₄×D₈₉	—	2	2	no	—
417	C₂×C₄×D₈₉	—	2	2	no	—
418	C₂×C₄×D₈₉	—	2	2	no	—
419	C₂×C₄×D₈₉	—	2	2	no	—
420	C₂×C₄×D₈₉	—	2	2	no	—
421	C₂×C₄×D₈₉	—	2	2	no	—
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	—	4	16	no	—
426	C₂×C₄×D₈₉	—	4	1	no	—
427	C₂×C₄×D₈₉	—	4	1	no	—
428	C₂×C₄×D₈₉	—	4	1	no	—
429	C₂×C₄×D₈₉	—	4	1	no	—
430	C₂×C₄×D₈₉	—	4	1	no	—
431	C₂×C₄×D₈₉	—	4	1	no	—
432	C₂×C₄×D₈₉	—	4	1	no	—
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	—	4	1	no	—
442	C₂×C₄×D₈₉	—	4	1	no	—
443	C₂×C₄×D₈₉	—	4	1	no	—
444	C₂×C₄×D₈₉	—	4	1	no	—
445	C₂×C₄×D₈₉	—	4	1	no	—
446	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
447	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
448	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
449	C₂×C₄×D₈₉	C₂²×C₄	1	4	yes	—
450	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
451	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
452	C₄⋊Dic₈₉	—	2	2	no	—
453	C₄⋊Dic₈₉	—	4	1	no	—
454	C₄⋊Dic₈₉	—	4	1	no	—
455	C₄⋊Dic₈₉	—	4	1	no	—
456	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
457	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
458	C₄⋊Dic₈₉	C₂²×C₄	1	4	yes	complemented
459	#13083553	—	2	2	no	—
460	#13083553	—	2	2	no	—
461	#13083553	—	2	2	no	—
462	#13083553	—	2	2	no	—
463	#13083553	—	4	1	no	—
464	#13083553	—	4	1	no	—
465	#13083553	—	4	1	no	—
466	#13083553	—	4	1	no	—
467	#13083553	—	4	1	no	—
468	#13083553	—	4	1	no	—
469	#13083553	—	4	1	no	—
470	#13083553	—	4	1	no	—
471	#13083553	C₂²×C₄	1	4	yes	complemented
472	#13083553	C₂²×C₄	1	4	yes	complemented
473	#13083553	C₂²×C₄	1	4	yes	complemented
474	#13083553	C₂²×C₄	1	4	yes	complemented
475	#13083553	C₂²×C₄	1	4	yes	complemented
476	#13083553	C₂²×C₄	1	4	yes	complemented
477	C₂²⋊Dic₈₉	—	2	2	no	—
478	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
479	C₂²⋊Dic₈₉	C₂²×C₄	1	4	yes	—
480	C₂²⋊Dic₈₉	C₂×Q₈	1	4	yes	—
481	#13083551	—	2	2	no	—
482	#13083551	—	2	2	no	—
483	#13083551	—	2	2	no	—
484	#13083551	—	2	2	no	—
485	#13083551	—	2	2	no	—
486	#13083551	—	2	2	no	—
487	#13083551	C₂²×C₄	1	4	yes	—
488	#13083551	C₂²×C₄	1	4	yes	—
489	#13083551	C₂²×C₄	1	4	yes	—
490	#13083551	C₂²×C₄	1	4	yes	—
491	#13083551	C₂²×C₄	1	4	yes	—
492	#13083551	C₂²×C₄	1	4	yes	—
493	#13083551	C₂²×C₄	1	4	yes	—
494	#13083551	C₂²×C₄	1	4	yes	—
495	#13083551	C₂×Q₈	1	4	yes	—
496	#13083551	C₂×Q₈	1	4	yes	—
497	C₄×Dic₈₉	—	2	2	no	—
498	C₄×Dic₈₉	—	2	2	no	—
499	C₄×Dic₈₉	—	2	2	no	—
500	C₄×Dic₈₉	—	4	1	no	—
501	C₄×Dic₈₉	—	4	1	no	—
502	C₄×Dic₈₉	—	4	1	no	—
503	C₄×Dic₈₉	—	4	1	no	—
504	C₄×Dic₈₉	—	4	1	no	—
505	C₄×Dic₈₉	—	4	1	no	—
506	C₄×Dic₈₉	—	4	1	no	—
507	C₄×Dic₈₉	—	4	1	no	—
508	C₄×Dic₈₉	—	4	1	no	—
509	C₄×Dic₈₉	—	4	1	no	—
510	C₄×Dic₈₉	—	4	1	no	—
511	C₄×Dic₈₉	—	4	1	no	—
512	C₄×Dic₈₉	—	4	1	no	—
513	C₄×Dic₈₉	—	4	1	no	—
514	C₄×Dic₈₉	—	4	1	no	—
515	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
516	C₂×Q₈×C₈₉	—	4	1	no	—
517	C₂×Q₈×C₈₉	—	4	1	no	—
518	C₂×Q₈×C₈₉	C₂²×C₄	1	4	yes	complemented
519	C₂²×C₄×C₈₉	—	2	2	no	—
520	C₂²×C₄×C₈₉	—	2	2	no	—
521	C₂²×C₄×C₈₉	—	2	2	no	—
522	C₂²×C₄×C₈₉	—	4	1	no	—
523	C₂²×C₄×C₈₉	—	4	1	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	C₂²×C₄	1	4	yes	—
528	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
543	C₄⋊C₄×C₈₉	—	2	2	no	—
544	C₄⋊C₄×C₈₉	—	2	2	no	—
545	C₄⋊C₄×C₈₉	—	4	1	no	—
546	C₄⋊C₄×C₈₉	—	4	1	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	C₂²×C₄	1	4	yes	complemented
551	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
552	C₄⋊C₄×C₈₉	C₂²×C₄	1	4	yes	complemented
553	C₂²⋊C₄×C₈₉	—	2	2	no	—
554	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
555	C₂²⋊C₄×C₈₉	C₂²×C₄	1	4	yes	—
556	C₂²⋊C₄×C₈₉	C₂×Q₈	1	4	yes	—
557	C₄²×C₈₉	—	2	2	no	—
558	C₄²×C₈₉	—	4	1	no	—
559	C₄²×C₈₉	—	4	1	no	—
560	C₄²×C₈₉	—	4	1	no	—
561	C₄²×C₈₉	—	4	1	no	—
562	C₄²×C₈₉	—	4	1	no	—
563	C₂³×C₈₉	—	2	1	no	—
564	C₂³×C₈₉	—	2	1	no	—
565	C₂³×C₈₉	—	2	1	no	—
566	C₂³×C₈₉	—	2	1	no	—
567	C₂³×C₈₉	C₂³×C₄	1	2	yes	—
568	C₂³×C₈₉	C₂²×Q₈	1	2	yes	—
569	C₂³×C₈₉	C₂×#41	1	2	yes	—
570	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
571	C₂²×D₈₉	—	2	1	no	—
572	C₂²×D₈₉	—	2	1	no	—
573	C₂²×D₈₉	—	2	1	no	—
574	C₂²×D₈₉	—	2	1	no	—
575	C₂²×D₈₉	—	2	1	no	—
576	C₂²×D₈₉	—	2	1	no	—
577	C₂²×D₈₉	—	2	1	no	—
578	C₂²×D₈₉	—	2	1	no	—
579	C₂²×D₈₉	—	4	4	no	—
580	C₂²×D₈₉	—	4	4	no	—
581	C₂²×D₈₉	—	4	4	no	—
582	C₂²×D₈₉	—	4	4	no	—
583	C₂²×D₈₉	—	4	4	no	—
584	C₂²×D₈₉	—	4	4	no	—
585	C₂²×D₈₉	C₄×Q₈	1	16	yes	complemented
586	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
587	C₂²×D₈₉	C₂³×C₄	1	2	yes	—
588	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
589	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
590	C₂²×D₈₉	C₂×#41	1	2	yes	—
591	C₂²×D₈₉	C₂×#41	1	2	yes	—
592	Q₈×C₈₉	—	4	4	no	—
593	C₂×C₄×C₈₉	—	2	1	no	—
594	C₂×C₄×C₈₉	—	2	1	no	—
595	C₂×C₄×C₈₉	—	2	1	no	—
596	C₂×C₄×C₈₉	—	2	1	no	—
597	C₂×C₄×C₈₉	—	2	1	no	—
598	C₂×C₄×C₈₉	—	2	1	no	—
599	C₂×C₄×C₈₉	—	2	1	no	—
600	C₂×C₄×C₈₉	—	2	1	no	—
601	C₂×C₄×C₈₉	—	2	1	no	—
602	C₂×C₄×C₈₉	—	2	1	no	—
603	C₂×C₄×C₈₉	—	2	1	no	—
604	C₂×C₄×C₈₉	—	2	1	no	—
605	C₂×C₄×C₈₉	—	2	1	no	—
606	C₂×C₄×C₈₉	—	2	1	no	—
607	C₂×C₄×C₈₉	—	2	1	no	—
608	C₂×C₄×C₈₉	—	2	1	no	—
609	C₂×C₄×C₈₉	—	2	1	no	—
610	C₂×C₄×C₈₉	—	2	1	no	—
611	C₂×C₄×C₈₉	—	2	1	no	—
612	C₂×C₄×C₈₉	—	2	1	no	—
613	C₂×C₄×C₈₉	—	2	1	no	—
614	C₂×C₄×C₈₉	—	2	1	no	—
615	C₂×C₄×C₈₉	—	2	1	no	—
616	C₂×C₄×C₈₉	—	2	1	no	—
617	C₂×C₄×C₈₉	—	2	1	no	—
618	C₂×C₄×C₈₉	—	2	1	no	—
619	C₂×C₄×C₈₉	—	2	1	no	—
620	C₂×C₄×C₈₉	—	2	1	no	—
621	C₂×C₄×C₈₉	—	2	1	no	—
622	C₂×C₄×C₈₉	—	2	1	no	—
623	C₂×C₄×C₈₉	—	2	1	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	4	4	no	—
627	C₂×C₄×C₈₉	—	4	4	no	—
628	C₂×C₄×C₈₉	—	8	2	no	—
629	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
630	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
631	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
632	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
633	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
634	C₂×C₄×C₈₉	C₂³×C₄	1	2	yes	—
635	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
636	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
637	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
638	C₂×Dic₈₉	—	2	1	no	—
639	C₂×Dic₈₉	—	2	1	no	—
640	C₂×Dic₈₉	—	2	1	no	—
641	C₂×Dic₈₉	—	2	1	no	—
642	C₂×Dic₈₉	—	2	1	no	—
643	C₂×Dic₈₉	—	2	1	no	—
644	C₂×Dic₈₉	—	2	1	no	—
645	C₂×Dic₈₉	—	2	1	no	—
646	C₂×Dic₈₉	—	2	1	no	—
647	C₂×Dic₈₉	—	2	1	no	—
648	C₂×Dic₈₉	—	2	1	no	—
649	C₂×Dic₈₉	—	2	1	no	—
650	C₂×Dic₈₉	—	2	1	no	—
651	C₂×Dic₈₉	—	2	1	no	—
652	C₂×Dic₈₉	—	2	1	no	—
653	C₂×Dic₈₉	—	2	1	no	—
654	C₂×Dic₈₉	—	2	1	no	—
655	C₂×Dic₈₉	—	2	1	no	—
656	C₂×Dic₈₉	—	2	1	no	—
657	C₂×Dic₈₉	—	2	1	no	—
658	C₂×Dic₈₉	—	2	1	no	—
659	C₂×Dic₈₉	—	2	1	no	—
660	C₂×Dic₈₉	—	2	1	no	—
661	C₂×Dic₈₉	—	2	1	no	—
662	C₂×Dic₈₉	—	2	1	no	—
663	C₂×Dic₈₉	—	2	1	no	—
664	C₂×Dic₈₉	—	2	1	no	—
665	C₂×Dic₈₉	—	2	1	no	—
666	C₂×Dic₈₉	—	2	1	no	—
667	C₂×Dic₈₉	—	2	1	no	—
668	C₂×Dic₈₉	—	2	1	no	—
669	C₂×Dic₈₉	—	2	1	no	—
670	C₂×Dic₈₉	—	2	1	no	—
671	C₂×Dic₈₉	—	4	4	no	—
672	C₂×Dic₈₉	—	4	4	no	—
673	C₂×Dic₈₉	—	8	2	no	—
674	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
675	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
676	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
677	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
678	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
679	C₂×Dic₈₉	C₂³×C₄	1	2	yes	—
680	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
681	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
682	C₂×Dic₈₉	H(5,𝔽₂)	1	2	yes	—
683	C₄×D₈₉	—	2	8	no	—
684	C₄×D₈₉	—	4	4	no	—
685	C₄×D₈₉	—	4	4	no	—
686	C₄×D₈₉	—	4	4	no	—
687	C₄×D₈₉	—	4	4	no	—
688	C₄×D₈₉	—	4	4	no	—
689	C₄×D₈₉	—	4	4	no	—
690	C₄×D₈₉	—	4	4	no	—
691	C₄×D₈₉	—	4	4	no	—
692	C₄×D₈₉	—	4	4	no	—
693	C₄×D₈₉	—	8	2	no	—
694	C₄×D₈₉	—	8	2	no	—
695	Dic₁₇₈	—	4	4	no	—
696	Dic₁₇₈	—	4	4	no	—
697	Dic₁₇₈	—	4	4	no	—
698	C₂²×C₈₉	—	2	2	no	—
699	C₂²×C₈₉	—	2	2	no	—
700	C₂²×C₈₉	—	2	2	no	—
701	C₂²×C₈₉	—	2	2	no	—
702	C₂²×C₈₉	—	2	2	no	—
703	C₂²×C₈₉	—	2	2	no	—
704	C₂²×C₈₉	C₂×C₄×Q₈	1	4	yes	—
705	C₂²×C₈₉	C₂⁴×C₄	1	1	yes	characteristic
706	C₂²×C₈₉	C₂³×Q₈	1	1	yes	characteristic
707	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
708	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
709	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
710	C₂²×C₈₉	#585	1	1	yes	characteristic
711	C₂²×C₈₉	#585	1	1	yes	characteristic
712	C₂×D₈₉	—	2	2	no	—
713	C₂×D₈₉	—	2	2	no	—
714	C₂×D₈₉	—	2	2	no	—
715	C₂×D₈₉	—	2	2	no	—
716	C₂×D₈₉	—	2	2	no	—
717	C₂×D₈₉	—	2	2	no	—
718	C₂×D₈₉	—	2	2	no	—
719	C₂×D₈₉	—	2	2	no	—
720	C₂×D₈₉	—	2	2	no	—
721	C₂×D₈₉	—	2	2	no	—
722	C₂×D₈₉	—	2	2	no	—
723	C₂×D₈₉	—	2	2	no	—
724	C₂×D₈₉	—	4	16	no	—
725	C₂×D₈₉	C₂×C₄×Q₈	1	4	yes	—
726	C₂×D₈₉	C₂×C₄×Q₈	1	4	yes	—
727	C₄×C₈₉	—	2	2	no	—
728	C₄×C₈₉	—	2	2	no	—
729	C₄×C₈₉	—	2	2	no	—
730	C₄×C₈₉	—	2	2	no	—
731	C₄×C₈₉	—	2	2	no	—
732	C₄×C₈₉	—	2	2	no	—
733	C₄×C₈₉	—	2	2	no	—
734	C₄×C₈₉	—	2	2	no	—
735	C₄×C₈₉	—	2	2	no	—
736	C₄×C₈₉	—	4	1	no	—
737	C₄×C₈₉	—	4	1	no	—
738	C₄×C₈₉	—	4	1	no	—
739	C₄×C₈₉	—	4	1	no	—
740	C₄×C₈₉	—	4	1	no	—
741	Dic₈₉	—	2	2	no	—
742	Dic₈₉	—	2	2	no	—
743	Dic₈₉	—	2	2	no	—
744	Dic₈₉	—	2	2	no	—
745	Dic₈₉	—	2	2	no	—
746	Dic₈₉	—	2	2	no	—
747	Dic₈₉	—	2	2	no	—
748	Dic₈₉	—	2	2	no	—
749	Dic₈₉	—	2	2	no	—
750	Dic₈₉	—	4	1	no	—
751	Dic₈₉	—	4	1	no	—
752	Dic₈₉	—	4	1	no	—
753	Dic₈₉	—	4	1	no	—
754	Dic₈₉	—	4	1	no	—
755	#34270	—	89	1	no	maximal, Sylow
756	C₂×C₈₉	—	2	4	no	—
757	C₂×C₈₉	C₂²×C₄×Q₈	1	1	yes	characteristic
758	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
759	C₂×C₈₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
760	C₂×C₈₉	#3490	1	1	yes	characteristic
761	C₂×C₈₉	#3491	1	1	yes	characteristic
762	C₂×C₈₉	#3501	1	1	yes	characteristic
763	C₂×C₈₉	#3501	1	1	yes	characteristic
764	D₈₉	—	2	4	no	—
765	D₈₉	—	2	4	no	—
766	C₂×#543	—	89	1	no	—
767	#2368	—	89	1	no	—
768	#2368	—	89	1	no	—
769	#2368	—	89	1	no	—
770	#2368	—	89	1	no	—
771	#2368	—	89	1	no	—
772	#2368	—	89	1	no	—
773	#2368	—	89	1	no	—
774	#2368	—	89	1	no	—
775	#2360	—	89	1	no	—
776	#2360	—	89	1	no	—
777	#2360	—	89	1	no	—
778	#2360	—	89	1	no	—
779	#2360	—	89	1	no	—
780	#2360	—	89	1	no	—
781	#2360	—	89	1	no	—
782	#2360	D₈₉	1	1	yes	characteristic, complemented
783	#2329	—	89	1	no	—
784	#2329	—	89	1	no	—
785	#2329	—	89	1	no	—
786	#2329	—	89	1	no	—
787	#2315	—	89	1	no	—
788	C₄×C₂²⋊Q₈	—	89	1	no	—
789	C₄×C₂²⋊Q₈	—	89	1	no	—
790	C₄×C₂²⋊Q₈	—	89	1	no	—
791	C₄×C₂²⋊Q₈	—	89	1	no	—
792	C₂×#385	—	89	1	no	—
793	C₂×#385	—	89	1	no	—
794	#2273	—	89	1	no	—
795	#2273	—	89	1	no	—
796	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
797	C₈₉	#34270	1	1	yes	characteristic, complemented, Sylow
798	C₂⁴×C₄	—	89	1	no	—
799	#543	—	89	16	no	—
800	C₂×C₂²⋊Q₈	—	89	1	no	—
801	C₂×C₂²⋊Q₈	—	89	1	no	—
802	C₂×C₂²⋊Q₈	—	89	1	no	—
803	C₂×C₂²⋊Q₈	—	89	1	no	—
804	C₂×C₂²⋊Q₈	—	89	1	no	—
805	C₂×C₂²⋊Q₈	—	89	1	no	—
806	C₂×C₂²⋊Q₈	—	89	1	no	—
807	C₂×C₂²⋊Q₈	—	89	1	no	—
808	C₂×C₂²⋊Q₈	—	89	1	no	—
809	C₂×C₂²⋊Q₈	—	89	1	no	—
810	C₂×C₂²⋊Q₈	—	89	1	no	—
811	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
812	C₂×C₄×Q₈	—	89	1	no	—
813	C₂×C₄×Q₈	—	89	1	no	—
814	C₂×C₄×Q₈	—	89	1	no	—
815	C₂×C₄×Q₈	C₂×D₈₉	1	1	yes	characteristic, complemented
816	C₂²×C₄⋊C₄	—	89	1	no	—
817	C₂²×C₄⋊C₄	—	89	1	no	—
818	C₂²×C₄⋊C₄	—	89	1	no	—
819	C₂²×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic
820	C₂²×C₂²⋊C₄	—	89	1	no	—
821	C₂²×C₂²⋊C₄	—	89	1	no	—
822	C₂²×C₂²⋊C₄	—	89	1	no	—
823	C₂²×C₂²⋊C₄	—	89	1	no	—
824	C₂²×C₂²⋊C₄	—	89	1	no	—
825	C₂²×C₂²⋊C₄	—	89	1	no	—
826	C₂²×C₄²	—	89	1	no	—
827	C₂²×C₄²	—	89	1	no	—
828	#391	—	89	1	no	—
829	#391	—	89	1	no	—
830	#391	—	89	1	no	—
831	#391	—	89	1	no	—
832	#391	—	89	1	no	—
833	#391	—	89	1	no	—
834	#391	—	89	1	no	—
835	#391	—	89	1	no	—
836	#391	—	89	1	no	—
837	#391	—	89	1	no	—
838	#391	—	89	1	no	—
839	#391	C₂×D₈₉	1	1	yes	characteristic, complemented
840	#389	—	89	1	no	—
841	#389	—	89	1	no	—
842	#389	—	89	1	no	—
843	#389	—	89	1	no	—
844	#389	—	89	1	no	—
845	#389	—	89	1	no	—
846	#389	—	89	1	no	—
847	#389	—	89	1	no	—
848	#389	—	89	1	no	—
849	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
850	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
851	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
852	#387	—	89	1	no	—
853	#387	—	89	1	no	—
854	#387	—	89	1	no	—
855	#387	—	89	1	no	—
856	#387	—	89	1	no	—
857	#387	—	89	1	no	—
858	#387	—	89	1	no	—
859	#387	—	89	1	no	—
860	#387	—	89	1	no	—
861	#387	—	89	1	no	—
862	#387	—	89	1	no	—
863	#387	—	89	1	no	—
864	#387	—	89	1	no	—
865	#387	—	89	1	no	—
866	#387	—	89	1	no	—
867	#387	—	89	1	no	—
868	#387	—	89	1	no	—
869	#387	—	89	1	no	—
870	#387	—	89	1	no	—
871	#387	—	89	1	no	—
872	#387	—	89	1	no	—
873	#387	—	89	1	no	—
874	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
875	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
876	#385	—	89	1	no	—
877	#385	—	89	1	no	—
878	#385	—	89	1	no	—
879	#385	—	89	1	no	—
880	#385	—	89	1	no	—
881	#385	—	89	1	no	—
882	#385	—	89	1	no	—
883	#385	—	89	1	no	—
884	#385	—	89	1	no	—
885	#385	—	89	1	no	—
886	#385	—	89	1	no	—
887	#385	—	89	1	no	—
888	#385	—	89	1	no	—
889	#385	—	89	1	no	—
890	#385	—	89	1	no	—
891	#385	—	89	1	no	—
892	#385	—	89	1	no	—
893	#385	—	89	1	no	—
894	#385	—	89	1	no	—
895	#385	—	89	1	no	—
896	#385	—	89	1	no	—
897	#385	—	89	1	no	—
898	#385	C₂×D₈₉	1	1	yes	characteristic
899	#385	C₂×D₈₉	1	1	yes	characteristic
900	#380	—	89	1	no	—
901	#380	—	89	1	no	—
902	#380	—	89	1	no	—
903	#380	—	89	1	no	—
904	C₄×C₄⋊C₄	—	89	1	no	—
905	C₄×C₄⋊C₄	—	89	1	no	—
906	C₄×C₄⋊C₄	—	89	1	no	—
907	C₄×C₄⋊C₄	—	89	1	no	—
908	C₄×C₄⋊C₄	—	89	1	no	—
909	C₄×C₄⋊C₄	—	89	1	no	—
910	C₄×C₄⋊C₄	—	89	1	no	—
911	C₄×C₄⋊C₄	—	89	1	no	—
912	C₄×C₄⋊C₄	—	89	1	no	—
913	C₄×C₄⋊C₄	—	89	1	no	—
914	C₄×C₄⋊C₄	—	89	1	no	—
915	C₄×C₄⋊C₄	C₂×D₈₉	1	1	yes	characteristic, complemented
916	C₄×C₂²⋊C₄	—	89	1	no	—
917	C₄×C₂²⋊C₄	—	89	1	no	—
918	C₄×C₂²⋊C₄	—	89	1	no	—
919	C₄×C₂²⋊C₄	—	89	1	no	—
920	C₄×C₂²⋊C₄	—	89	1	no	—
921	C₄×C₂²⋊C₄	—	89	1	no	—
922	C₄×C₂²⋊C₄	—	89	1	no	—
923	C₄×C₂²⋊C₄	—	89	1	no	—
924	C₄×C₂²⋊C₄	—	89	1	no	—
925	C₄×C₂²⋊C₄	—	89	1	no	—
926	C₄×C₂²⋊C₄	—	89	1	no	—
927	C₄×C₂²⋊C₄	—	89	1	no	—
928	C₄×C₂²⋊C₄	—	89	1	no	—
929	C₄×C₂²⋊C₄	—	89	1	no	—
930	C₄×C₂²⋊C₄	—	89	1	no	—
931	C₄×C₂²⋊C₄	—	89	1	no	—
932	C₄×C₂²⋊C₄	—	89	1	no	—
933	C₄×C₂²⋊C₄	—	89	1	no	—
934	C₄×C₂²⋊C₄	—	89	1	no	—
935	C₄×C₂²⋊C₄	—	89	1	no	—
936	C₄×C₂²⋊C₄	—	89	1	no	—
937	C₄×C₂²⋊C₄	—	89	1	no	—
938	C₄×C₂²⋊C₄	—	89	1	no	—
939	C₄×C₂²⋊C₄	—	89	1	no	—
940	C₄×C₂²⋊C₄	—	89	1	no	—
941	C₄×C₂²⋊C₄	—	89	1	no	—
942	C₄×C₂²⋊C₄	—	89	1	no	—
943	C₄×C₂²⋊C₄	—	89	1	no	—
944	C₄×C₂²⋊C₄	—	89	1	no	—
945	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
946	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
947	C₄×C₂²⋊C₄	C₂×D₈₉	1	1	yes	characteristic
948	C₂×#95	—	89	1	no	—
949	C₂×#95	—	89	1	no	—
950	C₂×#95	—	89	1	no	—
951	C₂×#95	—	89	1	no	—
952	C₂×#95	—	89	1	no	—
953	C₂×#95	—	89	1	no	—
954	C₂⁵	—	89	1	no	—
955	C₂²×Q₈	—	89	1	no	—
956	C₂²×Q₈	—	89	1	no	—
957	C₂²×Q₈	—	89	1	no	—
958	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
959	C₂³×C₄	—	89	1	no	—
960	C₂³×C₄	—	89	1	no	—
961	C₂³×C₄	—	89	1	no	—
962	C₂³×C₄	—	89	1	no	—
963	C₂³×C₄	—	89	1	no	—
964	C₂³×C₄	—	89	1	no	—
965	C₂³×C₄	—	89	1	no	—
966	C₂³×C₄	—	89	1	no	—
967	C₂³×C₄	—	89	1	no	—
968	C₂³×C₄	—	89	1	no	—
969	C₂³×C₄	—	89	1	no	—
970	C₂³×C₄	—	89	1	no	—
971	C₂³×C₄	—	89	1	no	—
972	C₂³×C₄	—	89	1	no	—
973	C₂³×C₄	—	89	1	no	—
974	C₂³×C₄	—	356	2	no	—
975	C₂³×C₄	—	356	2	no	—
976	C₂³×C₄	—	178	4	no	—
977	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
978	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
979	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
980	C₂²⋊Q₈	—	89	8	no	—
981	C₂²⋊Q₈	—	89	8	no	—
982	C₂²⋊Q₈	—	89	8	no	—
983	C₂²⋊Q₈	—	89	8	no	—
984	C₂²⋊Q₈	—	89	8	no	—
985	C₂²⋊Q₈	—	89	8	no	—
986	C₂²⋊Q₈	—	89	8	no	—
987	C₂²⋊Q₈	—	89	8	no	—
988	C₂²⋊Q₈	—	89	8	no	—
989	C₂²⋊Q₈	—	89	8	no	—
990	C₂²⋊Q₈	—	89	8	no	—
991	C₂²⋊Q₈	C₄×D₈₉	1	8	yes	complemented
992	C₄×Q₈	—	4	2	no	—
993	C₄×Q₈	—	356	2	no	—
994	C₄×Q₈	—	356	2	no	—
995	C₄×Q₈	—	356	2	no	—
996	C₂×C₄⋊C₄	—	4	2	no	—
997	C₂×C₄⋊C₄	—	89	1	no	—
998	C₂×C₄⋊C₄	—	89	1	no	—
999	C₂×C₄⋊C₄	—	89	1	no	—
1000	C₂×C₄⋊C₄	—	89	1	no	—
1001	C₂×C₄⋊C₄	—	89	1	no	—
1002	C₂×C₄⋊C₄	—	89	1	no	—
1003	C₂×C₄⋊C₄	—	89	1	no	—
1004	C₂×C₄⋊C₄	—	89	1	no	—
1005	C₂×C₄⋊C₄	—	89	1	no	—
1006	C₂×C₄⋊C₄	—	89	1	no	—
1007	C₂×C₄⋊C₄	—	89	1	no	—
1008	C₂×C₄⋊C₄	—	89	1	no	—
1009	C₂×C₄⋊C₄	—	89	1	no	—
1010	C₂×C₄⋊C₄	—	89	1	no	—
1011	C₂×C₄⋊C₄	—	89	1	no	—
1012	C₂×C₄⋊C₄	—	89	1	no	—
1013	C₂×C₄⋊C₄	—	89	1	no	—
1014	C₂×C₄⋊C₄	—	89	1	no	—
1015	C₂×C₄⋊C₄	—	89	1	no	—
1016	C₂×C₄⋊C₄	—	89	1	no	—
1017	C₂×C₄⋊C₄	—	89	1	no	—
1018	C₂×C₄⋊C₄	—	89	1	no	—
1019	C₂×C₄⋊C₄	—	89	1	no	—
1020	C₂×C₄⋊C₄	—	89	1	no	—
1021	C₂×C₄⋊C₄	—	89	1	no	—
1022	C₂×C₄⋊C₄	—	356	2	no	—
1023	C₂×C₄⋊C₄	—	356	2	no	—
1024	C₂×C₄⋊C₄	—	356	2	no	—
1025	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	—	89	1	no	—
1037	C₂×C₂²⋊C₄	—	89	1	no	—
1038	C₂×C₂²⋊C₄	—	89	1	no	—
1039	C₂×C₂²⋊C₄	—	89	8	no	—
1040	C₂×C₂²⋊C₄	—	89	1	no	—
1041	C₂×C₂²⋊C₄	—	89	1	no	—
1042	C₂×C₂²⋊C₄	—	89	1	no	—
1043	C₂×C₂²⋊C₄	—	89	1	no	—
1044	C₂×C₂²⋊C₄	—	89	1	no	—
1045	C₂×C₂²⋊C₄	—	89	1	no	—
1046	C₂×C₂²⋊C₄	—	89	1	no	—
1047	C₂×C₂²⋊C₄	—	89	1	no	—
1048	C₂×C₂²⋊C₄	—	89	1	no	—
1049	C₂×C₂²⋊C₄	—	89	1	no	—
1050	C₂×C₂²⋊C₄	—	89	8	no	—
1051	C₂×C₂²⋊C₄	—	89	8	no	—
1052	C₂×C₂²⋊C₄	—	89	8	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	—	178	4	no	—
1061	C₂×C₂²⋊C₄	—	178	4	no	—
1062	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1066	C₂×C₄²	—	89	1	no	—
1067	C₂×C₄²	—	89	1	no	—
1068	C₂×C₄²	—	89	1	no	—
1069	C₂×C₄²	—	89	1	no	—
1070	C₂×C₄²	—	89	1	no	—
1071	C₂×C₄²	—	89	1	no	—
1072	C₂×C₄²	—	89	1	no	—
1073	C₂×C₄²	—	89	1	no	—
1074	C₂×C₄²	—	89	1	no	—
1075	C₂×C₄²	—	89	1	no	—
1076	C₂×C₄²	—	89	1	no	—
1077	C₂×C₄²	—	89	1	no	—
1078	C₂×C₄²	—	89	1	no	—
1079	C₂×C₄²	—	89	1	no	—
1080	C₂×C₄²	—	89	1	no	—
1081	C₂×C₄²	—	89	1	no	—
1082	C₂×C₄²	—	89	1	no	—
1083	C₂×C₄²	—	89	1	no	—
1084	C₂×C₄²	—	356	2	no	—
1085	C₂×C₄²	—	356	2	no	—
1086	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1087	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1088	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1089	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1090	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1091	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1092	#95	—	89	1	no	—
1093	#95	—	89	1	no	—
1094	#95	—	89	1	no	—
1095	#95	—	89	1	no	—
1096	#95	—	89	1	no	—
1097	#95	—	89	1	no	—
1098	#95	—	89	1	no	—
1099	#95	—	89	1	no	—
1100	#95	—	89	1	no	—
1101	#95	—	89	1	no	—
1102	#95	—	89	1	no	—
1103	#95	—	89	1	no	—
1104	#95	—	89	1	no	—
1105	#95	—	89	1	no	—
1106	#95	—	89	1	no	—
1107	#95	—	89	1	no	—
1108	#95	—	89	1	no	—
1109	#95	—	89	1	no	—
1110	#95	—	89	1	no	—
1111	#95	—	89	1	no	—
1112	#95	—	89	1	no	—
1113	#95	—	89	1	no	—
1114	#95	—	89	1	no	—
1115	#95	—	89	1	no	—
1116	#95	—	89	1	no	—
1117	#95	—	89	1	no	—
1118	#95	—	89	1	no	—
1119	#95	—	89	1	no	—
1120	#95	—	89	1	no	—
1121	#95	—	89	1	no	—
1122	#95	—	89	1	no	—
1123	#95	—	89	1	no	—
1124	#95	—	89	1	no	—
1125	#95	—	89	1	no	—
1126	#95	—	89	1	no	—
1127	#95	—	89	1	no	—
1128	#95	—	89	1	no	—
1129	#95	—	89	1	no	—
1130	#95	C₂²×D₈₉	1	1	yes	characteristic
1131	#95	C₂²×D₈₉	1	1	yes	characteristic
1132	#95	C₂²×D₈₉	1	1	yes	characteristic
1133	#95	C₂²×D₈₉	1	1	yes	characteristic
1134	#95	C₂²×D₈₉	1	1	yes	characteristic
1135	#95	C₂²×D₈₉	1	1	yes	characteristic
1136	#95	C₂²×D₈₉	1	1	yes	characteristic
1137	#95	C₂²×D₈₉	1	1	yes	characteristic
1138	#95	C₂²×D₈₉	1	1	yes	characteristic
1139	#95	C₂²×D₈₉	1	1	yes	characteristic
1140	C₂⁴	—	89	4	no	—
1141	C₂⁴	—	89	4	no	—
1142	C₂⁴	—	89	4	no	—
1143	C₂⁴	—	89	1	no	—
1144	C₂⁴	—	89	1	no	—
1145	C₂⁴	—	356	1	no	—
1146	C₂⁴	—	356	1	no	—
1147	C₂⁴	—	356	1	no	—
1148	C₂⁴	—	356	1	no	—
1149	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1150	C₂×Q₈	—	4	1	no	—
1151	C₂×Q₈	—	4	1	no	—
1152	C₂×Q₈	—	89	4	no	—
1153	C₂×Q₈	—	89	4	no	—
1154	C₂×Q₈	—	89	4	no	—
1155	C₂×Q₈	—	356	1	no	—
1156	C₂×Q₈	—	356	1	no	—
1157	C₂×Q₈	—	356	1	no	—
1158	C₂×Q₈	—	356	1	no	—
1159	C₂×Q₈	—	356	1	no	—
1160	C₂×Q₈	—	356	1	no	—
1161	C₂×Q₈	C₂×C₄×D₈₉	1	4	yes	complemented
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	89	4	no	—
1171	C₂²×C₄	—	89	1	no	—
1172	C₂²×C₄	—	89	1	no	—
1173	C₂²×C₄	—	89	1	no	—
1174	C₂²×C₄	—	89	1	no	—
1175	C₂²×C₄	—	89	1	no	—
1176	C₂²×C₄	—	89	1	no	—
1177	C₂²×C₄	—	89	1	no	—
1178	C₂²×C₄	—	89	1	no	—
1179	C₂²×C₄	—	89	1	no	—
1180	C₂²×C₄	—	89	4	no	—
1181	C₂²×C₄	—	89	4	no	—
1182	C₂²×C₄	—	89	4	no	—
1183	C₂²×C₄	—	89	4	no	—
1184	C₂²×C₄	—	89	4	no	—
1185	C₂²×C₄	—	89	4	no	—
1186	C₂²×C₄	—	89	1	no	—
1187	C₂²×C₄	—	89	1	no	—
1188	C₂²×C₄	—	89	1	no	—
1189	C₂²×C₄	—	89	1	no	—
1190	C₂²×C₄	—	89	1	no	—
1191	C₂²×C₄	—	356	1	no	—
1192	C₂²×C₄	—	356	1	no	—
1193	C₂²×C₄	—	356	1	no	—
1194	C₂²×C₄	—	356	1	no	—
1195	C₂²×C₄	—	356	1	no	—
1196	C₂²×C₄	—	356	1	no	—
1197	C₂²×C₄	—	356	1	no	—
1198	C₂²×C₄	—	356	1	no	—
1199	C₂²×C₄	—	356	1	no	—
1200	C₂²×C₄	—	356	1	no	—
1201	C₂²×C₄	—	356	1	no	—
1202	C₂²×C₄	—	356	1	no	—
1203	C₂²×C₄	—	356	1	no	—
1204	C₂²×C₄	—	356	1	no	—
1205	C₂²×C₄	—	356	1	no	—
1206	C₂²×C₄	—	356	1	no	—
1207	C₂²×C₄	—	356	1	no	—
1208	C₂²×C₄	—	356	1	no	—
1209	C₂²×C₄	—	356	1	no	—
1210	C₂²×C₄	—	356	1	no	—
1211	C₂²×C₄	—	356	16	no	—
1212	C₂²×C₄	—	356	1	no	—
1213	C₂²×C₄	—	356	1	no	—
1214	C₂²×C₄	—	356	1	no	—
1215	C₂²×C₄	—	356	1	no	—
1216	C₂²×C₄	—	356	1	no	—
1217	C₂²×C₄	—	178	2	no	—
1218	C₂²×C₄	—	178	2	no	—
1219	C₂²×C₄	—	178	2	no	—
1220	C₂²×C₄	—	178	2	no	—
1221	C₂²×C₄	—	178	2	no	—
1222	C₂²×C₄	—	178	2	no	—
1223	C₂²×C₄	—	178	2	no	—
1224	C₂²×C₄	—	178	2	no	—
1225	C₂²×C₄	—	178	2	no	—
1226	C₂²×C₄	—	178	2	no	—
1227	C₂²×C₄	—	178	2	no	—
1228	C₂²×C₄	—	178	2	no	—
1229	C₂²×C₄	—	178	2	no	—
1230	C₂²×C₄	C₂×C₄×D₈₉	1	4	yes	—
1231	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1240	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1241	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	4	1	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	89	4	no	—
1254	C₄⋊C₄	—	89	4	no	—
1255	C₄⋊C₄	—	89	4	no	—
1256	C₄⋊C₄	—	89	4	no	—
1257	C₄⋊C₄	—	89	4	no	—
1258	C₄⋊C₄	—	89	4	no	—
1259	C₄⋊C₄	—	89	4	no	—
1260	C₄⋊C₄	—	89	4	no	—
1261	C₄⋊C₄	—	89	4	no	—
1262	C₄⋊C₄	—	356	1	no	—
1263	C₄⋊C₄	—	356	1	no	—
1264	C₄⋊C₄	—	356	1	no	—
1265	C₄⋊C₄	—	356	1	no	—
1266	C₄⋊C₄	—	356	1	no	—
1267	C₄⋊C₄	—	356	1	no	—
1268	C₄⋊C₄	—	356	1	no	—
1269	C₄⋊C₄	—	356	1	no	—
1270	C₄⋊C₄	—	356	1	no	—
1271	C₄⋊C₄	—	356	1	no	—
1272	C₄⋊C₄	—	356	1	no	—
1273	C₄⋊C₄	—	178	2	no	—
1274	C₄⋊C₄	—	178	2	no	—
1275	C₄⋊C₄	—	178	2	no	—
1276	C₄⋊C₄	—	178	2	no	—
1277	C₄⋊C₄	—	178	2	no	—
1278	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1279	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1280	C₄⋊C₄	C₂×C₄×D₈₉	1	4	yes	complemented
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	89	4	no	—
1283	C₂²⋊C₄	—	89	4	no	—
1284	C₂²⋊C₄	—	89	4	no	—
1285	C₂²⋊C₄	—	89	4	no	—
1286	C₂²⋊C₄	—	89	4	no	—
1287	C₂²⋊C₄	—	89	4	no	—
1288	C₂²⋊C₄	—	89	4	no	—
1289	C₂²⋊C₄	—	89	4	no	—
1290	C₂²⋊C₄	—	89	4	no	—
1291	C₂²⋊C₄	—	89	4	no	—
1292	C₂²⋊C₄	—	89	4	no	—
1293	C₂²⋊C₄	—	89	4	no	—
1294	C₂²⋊C₄	—	89	4	no	—
1295	C₂²⋊C₄	—	178	2	no	—
1296	C₂²⋊C₄	—	178	2	no	—
1297	C₂²⋊C₄	—	178	2	no	—
1298	C₂²⋊C₄	—	178	2	no	—
1299	C₂²⋊C₄	—	178	2	no	—
1300	C₂²⋊C₄	—	178	2	no	—
1301	C₂²⋊C₄	—	178	2	no	—
1302	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1303	C₂²⋊C₄	C₂×C₄×D₈₉	1	4	yes	—
1304	C₂²⋊C₄	Q₈×D₈₉	1	4	yes	—
1305	C₄²	—	2	2	no	—
1306	C₄²	—	4	1	no	—
1307	C₄²	—	4	1	no	—
1308	C₄²	—	4	1	no	—
1309	C₄²	—	4	1	no	—
1310	C₄²	—	4	1	no	—
1311	C₄²	—	356	1	no	—
1312	C₄²	—	356	1	no	—
1313	C₄²	—	356	1	no	—
1314	C₄²	—	356	1	no	—
1315	C₄²	—	356	1	no	—
1316	C₄²	—	356	1	no	—
1317	C₄²	—	356	1	no	—
1318	C₄²	—	356	1	no	—
1319	C₄²	—	356	1	no	—
1320	C₄²	—	356	1	no	—
1321	C₄²	—	356	1	no	—
1322	C₄²	—	356	1	no	—
1323	C₄²	—	356	1	no	—
1324	C₄²	—	356	1	no	—
1325	C₄²	—	356	1	no	—
1326	C₄²	—	178	2	no	—
1327	C₄²	—	178	2	no	—
1328	C₄²	—	178	2	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	89	16	no	—
1334	C₂³	—	89	2	no	—
1335	C₂³	—	89	2	no	—
1336	C₂³	—	89	2	no	—
1337	C₂³	—	89	2	no	—
1338	C₂³	—	89	2	no	—
1339	C₂³	—	89	2	no	—
1340	C₂³	—	356	4	no	—
1341	C₂³	—	356	4	no	—
1342	C₂³	—	356	4	no	—
1343	C₂³	—	356	4	no	—
1344	C₂³	—	356	4	no	—
1345	C₂³	—	356	4	no	—
1346	C₂³	—	178	1	no	—
1347	C₂³	—	178	1	no	—
1348	C₂³	—	178	1	no	—
1349	C₂³	—	178	1	no	—
1350	C₂³	—	178	1	no	—
1351	C₂³	—	178	1	no	—
1352	C₂³	—	178	1	no	—
1353	C₂³	—	178	1	no	—
1354	C₂³	C₂²×C₄×D₈₉	1	2	yes	—
1355	C₂³	C₂×Q₈×D₈₉	1	2	yes	—
1356	C₂³	#41×D₈₉	1	2	yes	—
1357	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1358	Q₈	—	4	4	no	—
1359	Q₈	—	356	4	no	—
1360	Q₈	—	356	4	no	—
1361	Q₈	—	356	4	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	—	4	4	no	—
1397	C₂×C₄	—	8	2	no	—
1398	C₂×C₄	—	89	2	no	—
1399	C₂×C₄	—	89	2	no	—
1400	C₂×C₄	—	89	2	no	—
1401	C₂×C₄	—	89	2	no	—
1402	C₂×C₄	—	89	2	no	—
1403	C₂×C₄	—	89	2	no	—
1404	C₂×C₄	—	89	2	no	—
1405	C₂×C₄	—	89	2	no	—
1406	C₂×C₄	—	89	2	no	—
1407	C₂×C₄	—	356	4	no	—
1408	C₂×C₄	—	356	4	no	—
1409	C₂×C₄	—	356	4	no	—
1410	C₂×C₄	—	356	4	no	—
1411	C₂×C₄	—	356	4	no	—
1412	C₂×C₄	—	356	4	no	—
1413	C₂×C₄	—	356	4	no	—
1414	C₂×C₄	—	356	4	no	—
1415	C₂×C₄	—	356	4	no	—
1416	C₂×C₄	—	356	4	no	—
1417	C₂×C₄	—	356	4	no	—
1418	C₂×C₄	—	178	8	no	—
1419	C₂×C₄	—	178	1	no	—
1420	C₂×C₄	—	178	1	no	—
1421	C₂×C₄	—	178	1	no	—
1422	C₂×C₄	—	178	1	no	—
1423	C₂×C₄	—	178	1	no	—
1424	C₂×C₄	—	178	1	no	—
1425	C₂×C₄	—	178	1	no	—
1426	C₂×C₄	—	178	1	no	—
1427	C₂×C₄	—	178	1	no	—
1428	C₂×C₄	—	178	1	no	—
1429	C₂×C₄	—	178	1	no	—
1430	C₂×C₄	—	178	1	no	—
1431	C₂×C₄	—	178	1	no	—
1432	C₂×C₄	—	178	1	no	—
1433	C₂×C₄	—	178	1	no	—
1434	C₂×C₄	—	178	1	no	—
1435	C₂×C₄	—	178	1	no	—
1436	C₂×C₄	—	178	1	no	—
1437	C₂×C₄	—	178	1	no	—
1438	C₂×C₄	—	178	1	no	—
1439	C₂×C₄	—	178	1	no	—
1440	C₂×C₄	—	178	1	no	—
1441	C₂×C₄	—	178	1	no	—
1442	C₂×C₄	—	178	1	no	—
1443	C₂×C₄	—	178	1	no	—
1444	C₂×C₄	—	178	1	no	—
1445	C₂×C₄	—	178	1	no	—
1446	C₂×C₄	—	178	1	no	—
1447	C₂×C₄	—	178	1	no	—
1448	C₂×C₄	—	178	1	no	—
1449	C₂×C₄	—	178	1	no	—
1450	C₂×C₄	—	178	1	no	—
1451	C₂×C₄	—	178	1	no	—
1452	C₂×C₄	—	712	2	no	—
1453	C₂×C₄	—	712	2	no	—
1454	C₂×C₄	—	712	2	no	—
1455	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1456	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1457	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1458	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1459	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1460	C₂×C₄	C₂²×C₄×D₈₉	1	2	yes	—
1461	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1462	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1463	C₂×C₄	#15668057	1	2	yes	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	89	4	no	—
1471	C₂²	—	89	4	no	—
1472	C₂²	—	356	16	no	—
1473	C₂²	—	178	2	no	—
1474	C₂²	—	178	2	no	—
1475	C₂²	—	178	2	no	—
1476	C₂²	—	178	2	no	—
1477	C₂²	—	178	2	no	—
1478	C₂²	—	178	2	no	—
1479	C₂²	—	178	2	no	—
1480	C₂²	—	178	2	no	—
1481	C₂²	—	178	2	no	—
1482	C₂²	—	178	2	no	—
1483	C₂²	—	178	2	no	—
1484	C₂²	—	178	2	no	—
1485	C₂²	C₄×Q₈×D₈₉	1	4	yes	—
1486	C₂²	C₂³×C₄×D₈₉	1	1	yes	characteristic
1487	C₂²	C₂²×Q₈×D₈₉	1	1	yes	characteristic
1488	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1489	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1490	C₂²	C₂×#15668057	1	1	yes	characteristic
1491	C₂²	#19152434	1	1	yes	characteristic
1492	C₂²	#19152435	1	1	yes	characteristic
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	2	no	—
1500	C₄	—	2	2	no	—
1501	C₄	—	2	2	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	356	1	no	—
1508	C₄	—	356	1	no	—
1509	C₄	—	356	1	no	—
1510	C₄	—	356	1	no	—
1511	C₄	—	356	1	no	—
1512	C₄	—	178	2	no	—
1513	C₄	—	178	2	no	—
1514	C₄	—	178	2	no	—
1515	C₄	—	178	2	no	—
1516	C₄	—	178	2	no	—
1517	C₄	—	178	2	no	—
1518	C₄	—	178	2	no	—
1519	C₄	—	178	2	no	—
1520	C₄	—	178	2	no	—
1521	C₂	—	2	4	no	—
1522	C₂	—	178	4	no	—
1523	C₂	—	178	4	no	—
1524	C₂	C₂×C₄×Q₈×D₈₉	1	1	yes	characteristic
1525	C₂	C₄×#15668057	1	1	yes	characteristic
1526	C₂	#26033458	1	1	yes	characteristic
1527	C₂	#26033934	1	1	yes	characteristic
1528	C₂	#26033947	1	1	yes	characteristic
1529	C₂	#26034047	1	1	yes	characteristic
1530	C₂	#26034051	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator	C₂²×C₈₉	C₂⁴×C₄
Fitting	C₈₉×#2360	C₂
socle, cosocle	C₂³×C₈₉	C₂⁵
prime radical	C₂⁴×D₈₉	C₂³
hypercenter	#2360	D₈₉
hypocenter	C₈₉	#34270
LCS	G ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2360

Complements

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

N	H ≅ G/N	type
2. #26023337	C₂	semidirect
3. #26023336	C₂	semidirect
4. #26023335	C₂	semidirect
5. #26023334	C₂	semidirect
6. #26023333	C₂	semidirect
7. #26023331	C₂	semidirect
8. #26023330	C₂	semidirect
9. #26023329	C₂	semidirect
10. #26023258	C₂	semidirect
11. #26023257	C₂	semidirect
12. #26023256	C₂	semidirect
13. #26023254	C₂	semidirect
14. #26023254	C₂	semidirect
15. #26023253	C₂	semidirect
16. #26023252	C₂	semidirect
17. #26022986	C₂	semidirect
18. #26022986	C₂	semidirect
19. #26022984	C₂	semidirect
20. #26022981	C₂	semidirect
22. #26022786	C₂	semidirect
23. C₄×#15667990	C₂	semidirect
24. #26022782	C₂	semidirect
25. C₄×#15667988	C₂	semidirect
31. C₈₉×#2360	C₂	semidirect
33. #19152223	C₄	semidirect
45. C₂×C₄×Dic₁₇₈	C₂²	semidirect
46. C₂×#15667977	C₂²	semidirect
47. C₂×#15667977	C₂²	semidirect
59. #19151505	C₂²	semidirect
60. #19151505	C₂²	semidirect
61. #19151504	C₂²	semidirect
62. #19151503	C₂²	semidirect
63. #19151503	C₂²	semidirect
64. #19151502	C₂²	semidirect
65. #19151502	C₂²	semidirect
66. #19151502	C₂²	semidirect
67. #19151502	C₂²	semidirect
68. #19151502	C₂²	semidirect
69. #19151502	C₂²	semidirect
70. #19151496	C₂²	semidirect
71. #19151495	C₂²	semidirect
72. #19151495	C₂²	semidirect
73. #19151494	C₂²	semidirect
74. #19151494	C₂²	semidirect
75. #19151493	C₂²	semidirect
76. #19151493	C₂²	semidirect
77. #19151493	C₂²	semidirect
78. #19151493	C₂²	semidirect
79. #19151485	C₂²	semidirect
80. #19151485	C₂²	semidirect
81. #19151484	C₂²	semidirect
82. #19151484	C₂²	semidirect
83. #19151484	C₂²	semidirect
84. #19151484	C₂²	semidirect
85. #19151483	C₂²	semidirect
86. #19151483	C₂²	semidirect
87. #19151482	C₂²	semidirect
88. #19151482	C₂²	semidirect
89. #19151482	C₂²	semidirect
90. #19151482	C₂²	semidirect
91. #19151481	C₂²	semidirect
92. #19151481	C₂²	semidirect
93. #19151481	C₂²	semidirect
94. #19151481	C₂²	semidirect
95. #19151480	C₂²	semidirect
96. #19151480	C₂²	semidirect
97. #19151479	C₂²	semidirect
98. #19151479	C₂²	semidirect
99. #19151479	C₂²	semidirect
100. #19151479	C₂²	semidirect
127. C₄⋊C₄×Dic₈₉	C₂²	semidirect
128. C₄⋊C₄×Dic₈₉	C₂²	semidirect
129. C₄⋊C₄×Dic₈₉	C₂²	semidirect
130. C₄⋊C₄×Dic₈₉	C₂²	semidirect
131. C₄×#13083553	C₂²	semidirect
132. C₄×#13083553	C₂²	semidirect
133. C₄×#13083553	C₂²	semidirect
134. C₄×#13083553	C₂²	semidirect
135. C₄×C₄⋊Dic₈₉	C₂²	semidirect
136. #19151449	C₂²	semidirect
137. #19151449	C₂²	semidirect
174. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
176. #391×C₈₉	C₂²	semidirect
177. #389×C₈₉	C₂²	semidirect
178. #389×C₈₉	C₂²	semidirect
179. #389×C₈₉	C₂²	semidirect
180. #387×C₈₉	C₂²	semidirect
181. #387×C₈₉	C₂²	semidirect
184. C₄×C₄⋊C₄×C₈₉	C₂²	semidirect
210. #15667992	C₂×C₄	semidirect
211. #15667992	C₂×C₄	semidirect
212. #15667991	C₂×C₄	semidirect
213. #15667990	C₂×C₄	semidirect
214. #15667990	C₂×C₄	semidirect
215. #15667990	C₂×C₄	semidirect
216. #15667990	C₂×C₄	semidirect
217. #15667989	C₂×C₄	semidirect
218. #15667989	C₂×C₄	semidirect
219. #15667988	C₂×C₄	semidirect
220. #15667988	C₂×C₄	semidirect
277. C₂²⋊C₄×D₈₉	Q₈	semidirect
340. C₂²⋊Q₈×C₈₉	C₂×C₄	semidirect
389. C₂×Dic₁₇₈	C₂²×C₄	semidirect
390. C₂×Dic₁₇₈	C₂²×C₄	semidirect
391. C₂×Dic₁₇₈	C₂²×C₄	semidirect
456. C₄⋊Dic₈₉	C₂²×C₄	semidirect
457. C₄⋊Dic₈₉	C₂²×C₄	semidirect
458. C₄⋊Dic₈₉	C₂²×C₄	semidirect
471. #13083553	C₂²×C₄	semidirect
472. #13083553	C₂²×C₄	semidirect
473. #13083553	C₂²×C₄	semidirect
474. #13083553	C₂²×C₄	semidirect
475. #13083553	C₂²×C₄	semidirect
476. #13083553	C₂²×C₄	semidirect
518. C₂×Q₈×C₈₉	C₂²×C₄	semidirect
550. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
551. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
552. C₄⋊C₄×C₈₉	C₂²×C₄	semidirect
585. C₂²×D₈₉	C₄×Q₈	semidirect
782. #2360	D₈₉	semidirect
797. C₈₉	#34270	semidirect
815. C₂×C₄×Q₈	C₂×D₈₉	semidirect
839. #391	C₂×D₈₉	semidirect
849. #389	C₂×D₈₉	semidirect
850. #389	C₂×D₈₉	semidirect
851. #389	C₂×D₈₉	semidirect
874. #387	C₂×D₈₉	semidirect
875. #387	C₂×D₈₉	semidirect
915. C₄×C₄⋊C₄	C₂×D₈₉	semidirect
991. C₂²⋊Q₈	C₄×D₈₉	semidirect
1161. C₂×Q₈	C₂×C₄×D₈₉	semidirect
1278. C₄⋊C₄	C₂×C₄×D₈₉	semidirect
1279. C₄⋊C₄	C₂×C₄×D₈₉	semidirect
1280. C₄⋊C₄	C₂×C₄×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152223	2
#26023337	2
#26023336	2
#26023335	2
#26023334	2
#26023333	2
#26023331	2
#26023330	2
#26023329	2
#26023258	2
#26023257	2
#26023256	2
#26023254	2
#26023253	2
#26023252	2
#26022986	2
#26022984	2
#26022981	2
#26022863	2
#26022786	2
C₄×#15667990	2
#26022782	2
C₄×#15667988	2
C₂×#19151469	2
#385×D₈₉	2
#26022604	2
C₄×C₂²⋊C₄×D₈₉	2
C₈₉×#2360	2
#34270	89