Subgroups — #36723217

Order 22784.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152150	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#117×D₈₉	C₂	1	1	yes	maximal, characteristic
3	#26023971	C₂	1	1	yes	maximal, characteristic, complemented
4	#26023969	C₂	1	1	yes	maximal, characteristic, complemented
5	#26023964	C₂	1	1	yes	maximal, characteristic, complemented
6	#26023962	C₂	1	1	yes	maximal, characteristic, complemented
7	#26023949	C₂	1	1	yes	maximal, characteristic, complemented
8	#26023947	C₂	1	1	yes	maximal, characteristic, complemented
9	#26023942	C₂	1	1	yes	maximal, characteristic, complemented
10	#26023940	C₂	1	1	yes	maximal, characteristic, complemented
11	#26023930	C₂	1	1	yes	maximal, characteristic, complemented
12	#26023928	C₂	1	1	yes	maximal, characteristic, complemented
13	#26023922	C₂	1	1	yes	maximal, characteristic, complemented
14	#26023920	C₂	1	1	yes	maximal, characteristic
15	#26023917	C₂	1	1	yes	maximal, characteristic
16	#26023916	C₂	1	1	yes	maximal, characteristic
17	#26023915	C₂	1	1	yes	maximal, characteristic
18	#26023529	C₂	1	1	yes	maximal, characteristic, complemented
19	#26023529	C₂	1	1	yes	maximal, characteristic, complemented
20	#26023525	C₂	1	1	yes	maximal, characteristic, complemented
21	#26023523	C₂	1	1	yes	maximal, characteristic, complemented
22	#26022790	C₂	1	1	yes	maximal, characteristic, complemented
23	#26022786	C₂	1	1	yes	maximal, characteristic, complemented
24	#26022786	C₂	1	1	yes	maximal, characteristic, complemented
25	#26022782	C₂	1	1	yes	maximal, characteristic, complemented
26	#26022731	C₂	1	1	yes	maximal, characteristic, complemented
27	#26022731	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022654	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022632	C₂	1	1	yes	maximal, characteristic
30	C₂×#19151445	C₂	1	1	yes	maximal, characteristic
31	C₈₉×#2438	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
33	#19152150	—	2	8	no	—
34	C₂×#15668011	C₂²	1	1	yes	characteristic, complemented
35	C₂×#15668010	C₂²	1	1	yes	characteristic, complemented
36	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
37	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
38	C₂×#15667992	C₂²	1	1	yes	characteristic
39	C₂×#15667991	C₂²	1	1	yes	characteristic
40	C₂×#15667990	C₂²	1	1	yes	characteristic
41	C₂×#15667990	C₂²	1	1	yes	characteristic
42	C₂×#15667989	C₂²	1	1	yes	characteristic
43	C₂×#15667989	C₂²	1	1	yes	characteristic
44	C₂×#15667988	C₂²	1	1	yes	characteristic
45	C₂×Q₈×Dic₈₉	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	C₂×#15667977	C₂²	1	1	yes	characteristic, complemented
49	C₂×#15667971	C₂²	1	1	yes	characteristic
50	C₂×#15667970	C₂²	1	1	yes	characteristic
51	C₂×#15667970	C₂²	1	1	yes	characteristic
52	C₂×#15667969	C₂²	1	1	yes	characteristic
53	C₂×#15667969	C₂²	1	1	yes	characteristic
54	C₂×#15667968	C₂²	1	1	yes	characteristic
55	C₂×#15667968	C₂²	1	1	yes	characteristic
56	C₂×#15667968	C₂²	1	1	yes	characteristic
57	C₂×#15667968	C₂²	1	1	yes	characteristic
58	#117×D₈₉	—	2	8	no	—
59	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
60	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
61	C₂²×#13083551	C₂²	1	1	yes	characteristic
62	C₂²×#13083551	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
65	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
66	C₂²×C₄×Dic₈₉	C₂²	1	1	yes	characteristic
67	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₈₉	C₂²	1	1	yes	characteristic
69	#19151540	C₂²	1	1	yes	characteristic, complemented
70	#19151540	C₂²	1	1	yes	characteristic, complemented
71	#19151537	C₂²	1	1	yes	characteristic, complemented
72	#19151535	C₂²	1	1	yes	characteristic
73	#19151533	C₂²	1	1	yes	characteristic
74	#19151533	C₂²	1	1	yes	characteristic
75	#19151533	C₂²	1	1	yes	characteristic
76	#19151532	C₂²	1	1	yes	characteristic, complemented
77	#19151532	C₂²	1	1	yes	characteristic, complemented
78	#19151531	C₂²	1	1	yes	characteristic, complemented
79	#19151531	C₂²	1	1	yes	characteristic, complemented
80	#19151530	C₂²	1	1	yes	characteristic, complemented
81	#19151530	C₂²	1	1	yes	characteristic, complemented
82	#19151522	C₂²	1	1	yes	characteristic
83	#19151522	C₂²	1	1	yes	characteristic
84	#19151520	C₂²	1	1	yes	characteristic
85	#19151520	C₂²	1	1	yes	characteristic
86	#19151520	C₂²	1	1	yes	characteristic
87	#19151520	C₂²	1	1	yes	characteristic
88	#19151520	C₂²	1	1	yes	characteristic
89	#19151520	C₂²	1	1	yes	characteristic
90	#19151519	C₂²	1	1	yes	characteristic, complemented
91	#19151519	C₂²	1	1	yes	characteristic, complemented
92	#19151518	C₂²	1	1	yes	characteristic, complemented
93	#19151511	C₂²	1	1	yes	characteristic
94	#19151511	C₂²	1	1	yes	characteristic
95	#19151511	C₂²	1	1	yes	characteristic
96	#19151509	C₂²	1	1	yes	characteristic
97	#19151504	C₂²	1	1	yes	characteristic, complemented
98	#19151502	C₂²	1	1	yes	characteristic, complemented
99	#19151502	C₂²	1	1	yes	characteristic, complemented
100	#19151496	C₂²	1	1	yes	characteristic, complemented
101	#19151495	C₂²	1	1	yes	characteristic, complemented
102	#19151495	C₂²	1	1	yes	characteristic, complemented
103	#19151495	C₂²	1	1	yes	characteristic, complemented
104	#19151495	C₂²	1	1	yes	characteristic, complemented
105	#19151495	C₂²	1	1	yes	characteristic, complemented
106	#19151495	C₂²	1	1	yes	characteristic, complemented
107	#19151493	C₂²	1	1	yes	characteristic, complemented
108	#19151493	C₂²	1	1	yes	characteristic, complemented
109	#19151493	C₂²	1	1	yes	characteristic, complemented
110	#19151493	C₂²	1	1	yes	characteristic, complemented
111	#19151485	C₂²	1	1	yes	characteristic, complemented
112	#19151485	C₂²	1	1	yes	characteristic, complemented
113	#19151482	C₂²	1	1	yes	characteristic, complemented
114	#19151482	C₂²	1	1	yes	characteristic, complemented
115	#19151481	C₂²	1	1	yes	characteristic, complemented
116	#19151481	C₂²	1	1	yes	characteristic, complemented
117	#19151473	C₂²	1	1	yes	characteristic
118	#19151473	C₂²	1	1	yes	characteristic
119	#19151472	C₂²	1	1	yes	characteristic
120	#19151472	C₂²	1	1	yes	characteristic
121	#19151472	C₂²	1	1	yes	characteristic
122	#19151472	C₂²	1	1	yes	characteristic
123	#19151471	C₂²	1	1	yes	characteristic
124	#19151471	C₂²	1	1	yes	characteristic
125	#19151470	C₂²	1	1	yes	characteristic
126	#19151470	C₂²	1	1	yes	characteristic
127	#19151469	C₂²	1	1	yes	characteristic
128	#19151469	C₂²	1	1	yes	characteristic
129	#19151469	C₂²	1	1	yes	characteristic
130	#19151469	C₂²	1	1	yes	characteristic
131	#19151467	C₂²	1	1	yes	characteristic, complemented
132	#19151467	C₂²	1	1	yes	characteristic, complemented
133	#19151462	C₂²	1	1	yes	characteristic, complemented
134	#19151462	C₂²	1	1	yes	characteristic, complemented
135	#19151461	C₂²	1	1	yes	characteristic
136	#19151458	C₂²	1	1	yes	characteristic
137	#19151457	C₂²	1	1	yes	characteristic
138	#19151457	C₂²	1	1	yes	characteristic
139	#19151457	C₂²	1	1	yes	characteristic
140	#19151457	C₂²	1	1	yes	characteristic
141	#19151457	C₂²	1	1	yes	characteristic
142	#19151457	C₂²	1	1	yes	characteristic
143	#19151456	C₂²	1	1	yes	characteristic
144	#19151456	C₂²	1	1	yes	characteristic
145	#19151455	C₂²	1	1	yes	characteristic
146	#19151455	C₂²	1	1	yes	characteristic
147	#19151453	C₂²	1	1	yes	characteristic
148	#19151453	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
150	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
151	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
152	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
153	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
154	C₄⋊C₄×Dic₈₉	C₂²	1	1	yes	characteristic, complemented
155	#19151449	C₂²	1	1	yes	characteristic, complemented
156	#19151449	C₂²	1	1	yes	characteristic, complemented
157	#19151449	C₂²	1	1	yes	characteristic, complemented
158	#19151449	C₂²	1	1	yes	characteristic, complemented
159	#19151449	C₂²	1	1	yes	characteristic, complemented
160	#19151449	C₂²	1	1	yes	characteristic, complemented
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	#19151445	C₂²	1	1	yes	characteristic
168	#19151445	C₂²	1	1	yes	characteristic
169	#19151445	C₂²	1	1	yes	characteristic
170	#19151445	C₂²	1	1	yes	characteristic
171	#19151445	C₂²	1	1	yes	characteristic
172	#19151445	C₂²	1	1	yes	characteristic
173	C₂×#15667919	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
175	C₂×#117×C₈₉	C₂²	1	1	yes	characteristic
176	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#398×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#385×C₈₉	C₂²	1	1	yes	characteristic
185	#385×C₈₉	C₂²	1	1	yes	characteristic
186	#381×C₈₉	C₂²	1	1	yes	characteristic
187	#380×C₈₉	C₂²	1	1	yes	characteristic
188	C₂×#95×C₈₉	C₂²	1	1	yes	characteristic
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
193	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
194	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
195	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₈₉	—	2	4	no	—
197	C₂²×C₄×D₈₉	—	2	4	no	—
198	C₂²×C₄×D₈₉	Q₈	1	8	yes	complemented
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	#15668011	—	2	4	no	—
208	#15668010	—	2	4	no	—
209	#15668002	—	2	4	no	—
210	#15668002	—	2	4	no	—
211	#15667992	—	2	4	no	—
212	#15667991	—	2	4	no	—
213	#15667990	—	2	4	no	—
214	#15667990	—	2	4	no	—
215	#15667989	—	2	4	no	—
216	#15667989	—	2	4	no	—
217	#15667988	—	2	4	no	—
218	Q₈×Dic₈₉	—	2	4	no	—
219	#15667977	—	2	4	no	—
220	#15667977	—	2	4	no	—
221	#15667977	—	2	4	no	—
222	#15667971	—	2	4	no	—
223	#15667970	—	2	4	no	—
224	#15667970	—	2	4	no	—
225	#15667969	—	2	4	no	—
226	#15667969	—	2	4	no	—
227	#15667968	—	2	4	no	—
228	#15667968	—	2	4	no	—
229	#15667968	—	2	4	no	—
230	#15667968	D₄	1	8	yes	—
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×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₈₉	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	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×#13083553	C₂³	1	1	yes	characteristic
252	C₂×#13083553	C₂³	1	1	yes	characteristic
253	C₂×#13083553	C₂³	1	1	yes	characteristic
254	C₂×#13083553	C₂³	1	1	yes	characteristic
255	C₂×#13083553	C₂³	1	1	yes	characteristic
256	C₂×#13083553	C₂³	1	1	yes	characteristic
257	C₂×#13083553	C₂³	1	1	yes	characteristic
258	C₂×#13083553	C₂³	1	1	yes	characteristic
259	C₂×#13083553	C₂³	1	1	yes	characteristic
260	C₂×#13083553	C₂³	1	1	yes	characteristic
261	C₂×#13083553	C₂³	1	1	yes	characteristic
262	C₂×#13083553	C₂³	1	1	yes	characteristic
263	C₂×#13083553	C₂³	1	1	yes	characteristic
264	C₂×#13083553	C₂³	1	1	yes	characteristic
265	C₂×#13083553	C₂³	1	1	yes	characteristic
266	C₂×#13083553	C₂³	1	1	yes	characteristic
267	C₂×#13083553	C₂³	1	1	yes	characteristic
268	C₄⋊C₄×D₈₉	—	2	4	no	—
269	C₄⋊C₄×D₈₉	—	2	4	no	—
270	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×#13083551	—	2	4	no	—
275	C₂×#13083551	—	2	4	no	—
276	C₂×#13083551	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂×#13083551	C₂³	1	1	yes	characteristic
286	C₂×#13083551	C₂³	1	1	yes	characteristic
287	C₂×#13083551	C₂³	1	1	yes	characteristic
288	C₂×#13083551	C₂³	1	1	yes	characteristic
289	C₂×#13083551	C₂³	1	1	yes	characteristic
290	C₂×#13083551	C₂³	1	1	yes	characteristic
291	C₂×#13083551	C₂³	1	1	yes	characteristic
292	C₂×#13083551	C₂³	1	1	yes	characteristic
293	C₂×#13083551	C₂³	1	1	yes	characteristic
294	C₂×#13083551	C₂³	1	1	yes	characteristic
295	C₂×#13083551	C₂³	1	1	yes	characteristic
296	C₂²⋊C₄×D₈₉	—	2	4	no	—
297	C₂²⋊C₄×D₈₉	—	2	4	no	—
298	C₂×C₄×Dic₈₉	—	2	4	no	—
299	C₂×C₄×Dic₈₉	—	2	4	no	—
300	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
318	C₄²×D₈₉	—	2	4	no	—
319	C₄²×D₈₉	—	2	4	no	—
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#15667919	C₂³	1	1	yes	characteristic
333	#15667919	C₂³	1	1	yes	characteristic
334	#15667919	C₂³	1	1	yes	characteristic
335	#15667919	C₂³	1	1	yes	characteristic
336	#15667919	C₂³	1	1	yes	characteristic
337	#15667919	C₂³	1	1	yes	characteristic
338	#15667919	C₂³	1	1	yes	characteristic
339	#15667919	C₂³	1	1	yes	characteristic
340	#15667919	C₂³	1	1	yes	characteristic
341	#15667919	C₂³	1	1	yes	characteristic
342	#15667919	C₂³	1	1	yes	characteristic
343	#15667919	C₂³	1	1	yes	characteristic
344	#15667919	C₂³	1	1	yes	characteristic
345	#15667919	C₂³	1	1	yes	characteristic
346	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₂²⋊Q₈×C₈₉	—	2	4	no	—
351	#117×C₈₉	—	2	4	no	—
352	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
367	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
369	#95×C₈₉	C₂³	1	1	yes	characteristic
370	#95×C₈₉	C₂³	1	1	yes	characteristic
371	#95×C₈₉	C₂³	1	1	yes	characteristic
372	#95×C₈₉	C₂³	1	1	yes	characteristic
373	#95×C₈₉	C₂³	1	1	yes	characteristic
374	#95×C₈₉	C₂³	1	1	yes	characteristic
375	#95×C₈₉	C₂³	1	1	yes	characteristic
376	#95×C₈₉	C₂³	1	1	yes	characteristic
377	#95×C₈₉	C₂³	1	1	yes	characteristic
378	#95×C₈₉	C₂³	1	1	yes	characteristic
379	#95×C₈₉	C₂³	1	1	yes	characteristic
380	#95×C₈₉	C₂³	1	1	yes	characteristic
381	#95×C₈₉	C₂³	1	1	yes	characteristic
382	#95×C₈₉	C₂³	1	1	yes	characteristic
383	C₂³×D₈₉	—	2	2	no	—
384	C₂³×D₈₉	—	2	2	no	—
385	C₂³×D₈₉	—	2	2	no	—
386	C₂³×D₈₉	—	2	2	no	—
387	C₂³×D₈₉	—	4	1	no	—
388	C₂³×D₈₉	—	4	1	no	—
389	C₂³×D₈₉	C₂×Q₈	1	4	yes	—
390	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
391	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₇₈	—	2	2	no	—
393	C₂×Dic₁₇₈	—	2	2	no	—
394	C₂×Dic₁₇₈	—	2	2	no	—
395	C₂×Dic₁₇₈	—	2	2	no	—
396	C₂×Dic₁₇₈	—	2	2	no	—
397	C₂×Dic₁₇₈	—	2	2	no	—
398	C₂×Dic₁₇₈	—	4	1	no	—
399	C₂×Dic₁₇₈	—	4	1	no	—
400	C₂×Dic₁₇₈	—	4	1	no	—
401	C₂²×Dic₈₉	—	2	2	no	—
402	C₂²×Dic₈₉	—	2	2	no	—
403	C₂²×Dic₈₉	—	2	2	no	—
404	C₂²×Dic₈₉	—	2	2	no	—
405	C₂²×Dic₈₉	—	4	1	no	—
406	C₂²×Dic₈₉	—	4	1	no	—
407	C₂²×Dic₈₉	C₂×D₄	1	4	yes	—
408	C₂²×Dic₈₉	C₂×Q₈	1	4	yes	—
409	C₂²×Dic₈₉	#41	1	4	yes	—
410	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×D₈₉	—	2	32	no	—
425	C₂×C₄×D₈₉	—	2	2	no	—
426	C₂×C₄×D₈₉	—	2	2	no	—
427	C₂×C₄×D₈₉	—	2	2	no	—
428	C₂×C₄×D₈₉	—	2	2	no	—
429	C₂×C₄×D₈₉	—	2	2	no	—
430	C₂×C₄×D₈₉	—	2	2	no	—
431	C₂×C₄×D₈₉	—	2	2	no	—
432	C₂×C₄×D₈₉	—	2	2	no	—
433	C₂×C₄×D₈₉	—	2	2	no	—
434	C₂×C₄×D₈₉	—	2	2	no	—
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	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	C₂×Q₈	1	4	yes	—
446	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
447	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
448	C₂×C₄×D₈₉	C₂×Q₈	1	4	yes	—
449	C₄⋊Dic₈₉	—	2	2	no	—
450	C₄⋊Dic₈₉	—	2	2	no	—
451	C₄⋊Dic₈₉	—	2	2	no	—
452	C₄⋊Dic₈₉	—	2	2	no	—
453	C₄⋊Dic₈₉	—	2	2	no	—
454	C₄⋊Dic₈₉	—	2	2	no	—
455	C₄⋊Dic₈₉	—	2	2	no	—
456	C₄⋊Dic₈₉	—	2	2	no	—
457	C₄⋊Dic₈₉	—	4	1	no	—
458	C₄⋊Dic₈₉	—	4	1	no	—
459	C₄⋊Dic₈₉	—	4	1	no	—
460	#13083553	—	2	2	no	—
461	#13083553	—	2	2	no	—
462	#13083553	—	2	2	no	—
463	#13083553	—	2	2	no	—
464	#13083553	—	2	2	no	—
465	#13083553	—	2	2	no	—
466	#13083553	—	2	2	no	—
467	#13083553	—	2	2	no	—
468	#13083553	—	2	2	no	—
469	#13083553	—	2	2	no	—
470	#13083553	—	2	2	no	—
471	#13083553	—	2	2	no	—
472	#13083553	—	2	2	no	—
473	#13083553	—	2	2	no	—
474	#13083553	—	2	2	no	—
475	#13083553	—	2	2	no	—
476	#13083553	—	2	2	no	—
477	#13083553	—	2	2	no	—
478	#13083553	—	4	1	no	—
479	#13083553	—	4	1	no	—
480	#13083553	—	4	1	no	—
481	#13083553	—	4	1	no	—
482	#13083553	—	4	1	no	—
483	#13083553	—	4	1	no	—
484	#13083553	C₂×D₄	1	4	yes	—
485	#13083553	C₂×D₄	1	4	yes	—
486	C₂²⋊Dic₈₉	—	2	2	no	—
487	C₂²⋊Dic₈₉	—	2	2	no	—
488	C₂²⋊Dic₈₉	—	2	2	no	—
489	C₂²⋊Dic₈₉	C₂×D₄	1	4	yes	—
490	#13083551	—	2	2	no	—
491	#13083551	—	2	2	no	—
492	#13083551	—	2	2	no	—
493	#13083551	—	2	2	no	—
494	#13083551	—	2	2	no	—
495	#13083551	—	2	2	no	—
496	#13083551	—	2	2	no	—
497	#13083551	—	2	2	no	—
498	#13083551	—	2	2	no	—
499	#13083551	—	2	2	no	—
500	#13083551	—	2	2	no	—
501	#13083551	—	2	2	no	—
502	#13083551	—	2	2	no	—
503	#13083551	—	2	2	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	—	4	1	no	—
508	#13083551	#41	1	4	yes	—
509	#13083551	#41	1	4	yes	—
510	C₄×Dic₈₉	—	2	2	no	—
511	C₄×Dic₈₉	—	2	2	no	—
512	C₄×Dic₈₉	—	2	2	no	—
513	C₄×Dic₈₉	—	2	2	no	—
514	C₄×Dic₈₉	—	2	2	no	—
515	C₄×Dic₈₉	—	2	2	no	—
516	C₄×Dic₈₉	—	2	2	no	—
517	C₄×Dic₈₉	—	2	2	no	—
518	C₄×Dic₈₉	—	2	2	no	—
519	C₄×Dic₈₉	—	2	2	no	—
520	C₄×Dic₈₉	—	2	2	no	—
521	C₄×Dic₈₉	—	2	2	no	—
522	C₄×Dic₈₉	—	2	2	no	—
523	C₄×Dic₈₉	—	2	2	no	—
524	C₄×Dic₈₉	—	2	2	no	—
525	C₄×Dic₈₉	—	2	2	no	—
526	C₄×Dic₈₉	C₂×D₄	1	4	yes	—
527	C₄×Dic₈₉	C₂×D₄	1	4	yes	—
528	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
529	C₂×Q₈×C₈₉	—	2	2	no	—
530	C₂×Q₈×C₈₉	—	2	2	no	—
531	C₂×Q₈×C₈₉	—	4	1	no	—
532	C₂²×C₄×C₈₉	—	2	2	no	—
533	C₂²×C₄×C₈₉	—	2	2	no	—
534	C₂²×C₄×C₈₉	—	2	2	no	—
535	C₂²×C₄×C₈₉	—	2	2	no	—
536	C₂²×C₄×C₈₉	—	2	2	no	—
537	C₂²×C₄×C₈₉	—	2	2	no	—
538	C₂²×C₄×C₈₉	—	4	1	no	—
539	C₂²×C₄×C₈₉	—	4	1	no	—
540	C₂²×C₄×C₈₉	C₂×Q₈	1	4	yes	—
541	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₄⋊C₄×C₈₉	—	2	2	no	—
556	C₄⋊C₄×C₈₉	—	2	2	no	—
557	C₄⋊C₄×C₈₉	—	2	2	no	—
558	C₄⋊C₄×C₈₉	—	2	2	no	—
559	C₄⋊C₄×C₈₉	—	2	2	no	—
560	C₄⋊C₄×C₈₉	—	2	2	no	—
561	C₄⋊C₄×C₈₉	—	2	2	no	—
562	C₄⋊C₄×C₈₉	—	2	2	no	—
563	C₄⋊C₄×C₈₉	—	4	1	no	—
564	C₄⋊C₄×C₈₉	—	4	1	no	—
565	C₄⋊C₄×C₈₉	—	4	1	no	—
566	C₂²⋊C₄×C₈₉	—	2	2	no	—
567	C₂²⋊C₄×C₈₉	—	2	2	no	—
568	C₂²⋊C₄×C₈₉	—	2	2	no	—
569	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
570	C₄²×C₈₉	—	2	2	no	—
571	C₄²×C₈₉	—	2	2	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	C₂²×D₄	1	2	yes	—
577	C₂³×C₈₉	C₂²×Q₈	1	2	yes	—
578	C₂³×C₈₉	C₂×#41	1	2	yes	—
579	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
580	C₂²×D₈₉	—	2	1	no	—
581	C₂²×D₈₉	—	2	1	no	—
582	C₂²×D₈₉	—	2	1	no	—
583	C₂²×D₈₉	—	2	1	no	—
584	C₂²×D₈₉	—	2	8	no	—
585	C₂²×D₈₉	—	2	1	no	—
586	C₂²×D₈₉	—	2	1	no	—
587	C₂²×D₈₉	—	2	1	no	—
588	C₂²×D₈₉	—	2	1	no	—
589	C₂²×D₈₉	—	2	1	no	—
590	C₂²×D₈₉	—	2	1	no	—
591	C₂²×D₈₉	—	2	8	no	—
592	C₂²×D₈₉	—	4	4	no	—
593	C₂²×D₈₉	—	4	4	no	—
594	C₂²×D₈₉	—	4	4	no	—
595	C₂²×D₈₉	—	4	4	no	—
596	C₂²×D₈₉	—	4	4	no	—
597	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
598	C₂²×D₈₉	C₂²×Q₈	1	2	yes	—
599	C₂²×D₈₉	C₂×#41	1	2	yes	—
600	C₂²×D₈₉	C₂×#41	1	2	yes	—
601	Q₈×C₈₉	—	4	4	no	—
602	C₂×C₄×C₈₉	—	2	8	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	—	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	—	4	4	no	—
640	C₂×C₄×C₈₉	—	4	4	no	—
641	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
642	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
643	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
644	C₂×C₄×C₈₉	C₂²×Q₈	1	2	yes	—
645	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
646	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
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	—	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	—	4	4	no	—
680	C₂×Dic₈₉	—	4	4	no	—
681	C₂×Dic₈₉	C₂²⋊Q₈	1	16	yes	complemented
682	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
683	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
684	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
685	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
686	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
687	C₂×Dic₈₉	C₂²×Q₈	1	2	yes	—
688	C₂×Dic₈₉	C₂×#41	1	2	yes	—
689	C₂×Dic₈₉	C₂×#41	1	2	yes	—
690	C₂×Dic₈₉	C₂×#41	1	2	yes	—
691	C₂×Dic₈₉	C₂×#41	1	2	yes	—
692	C₄×D₈₉	—	2	8	no	—
693	C₄×D₈₉	—	2	8	no	—
694	C₄×D₈₉	—	2	8	no	—
695	C₄×D₈₉	—	2	8	no	—
696	C₄×D₈₉	—	4	4	no	—
697	C₄×D₈₉	—	4	4	no	—
698	C₄×D₈₉	—	4	4	no	—
699	C₄×D₈₉	—	4	4	no	—
700	Dic₁₇₈	—	4	4	no	—
701	Dic₁₇₈	—	4	4	no	—
702	Dic₁₇₈	—	4	4	no	—
703	C₂²×C₈₉	—	2	2	no	—
704	C₂²×C₈₉	—	2	2	no	—
705	C₂²×C₈₉	—	2	2	no	—
706	C₂²×C₈₉	—	2	2	no	—
707	C₂²×C₈₉	—	2	2	no	—
708	C₂²×C₈₉	—	2	2	no	—
709	C₂²×C₈₉	C₂×C₂²⋊Q₈	1	4	yes	—
710	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
711	C₂²×C₈₉	C₂³×Q₈	1	1	yes	characteristic
712	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
713	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
714	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
715	C₂²×C₈₉	#585	1	1	yes	characteristic
716	C₂²×C₈₉	#585	1	1	yes	characteristic
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	—	2	2	no	—
725	C₂×D₈₉	—	2	2	no	—
726	C₂×D₈₉	—	4	16	no	—
727	C₂×D₈₉	—	4	1	no	—
728	C₂×D₈₉	—	4	1	no	—
729	C₂×D₈₉	—	4	1	no	—
730	C₂×D₈₉	—	4	1	no	—
731	C₂×D₈₉	#533	1	4	yes	complemented
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	—	2	2	no	—
737	C₄×C₈₉	—	2	2	no	—
738	C₄×C₈₉	—	4	1	no	—
739	C₄×C₈₉	—	4	1	no	—
740	C₄×C₈₉	—	4	1	no	—
741	C₄×C₈₉	—	4	1	no	—
742	C₄×C₈₉	—	4	1	no	—
743	C₄×C₈₉	—	4	1	no	—
744	C₄×C₈₉	—	4	1	no	—
745	C₄×C₈₉	—	4	1	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	Dic₈₉	—	4	1	no	—
756	Dic₈₉	—	4	1	no	—
757	Dic₈₉	—	4	1	no	—
758	Dic₈₉	C₂×C₂²⋊Q₈	1	4	yes	—
759	Dic₈₉	C₂×C₂²⋊Q₈	1	4	yes	—
760	#34739	—	89	1	no	maximal, Sylow
761	C₂×C₈₉	—	2	4	no	—
762	C₂×C₈₉	C₂²×C₂²⋊Q₈	1	1	yes	characteristic
763	C₂×C₈₉	C₂×#533	1	1	yes	characteristic
764	C₂×C₈₉	#3458	1	1	yes	characteristic
765	C₂×C₈₉	D₄×#41	1	1	yes	characteristic
766	C₂×C₈₉	D₄×#41	1	1	yes	characteristic
767	C₂×C₈₉	#3475	1	1	yes	characteristic
768	C₂×C₈₉	#3475	1	1	yes	characteristic
769	D₈₉	—	2	4	no	—
770	D₈₉	—	4	2	no	—
771	C₂×#533	—	89	1	no	—
772	C₂²×#117	—	89	1	no	—
773	#2442	—	89	1	no	—
774	#2442	—	89	1	no	—
775	#2441	—	89	1	no	—
776	#2441	—	89	1	no	—
777	#2440	—	89	1	no	—
778	#2440	—	89	1	no	—
779	#2439	—	89	1	no	—
780	#2439	—	89	1	no	—
781	#2438	—	89	1	no	—
782	#2438	—	89	1	no	—
783	#2438	—	89	1	no	—
784	#2438	D₈₉	1	1	yes	characteristic, complemented
785	#2437	—	89	1	no	—
786	#2437	—	89	1	no	—
787	#2437	—	89	1	no	—
788	#2437	—	89	1	no	—
789	#2396	—	89	1	no	—
790	#2396	—	89	1	no	—
791	#2396	—	89	1	no	—
792	#2396	—	89	1	no	—
793	C₄×C₂²⋊Q₈	—	89	1	no	—
794	C₄×C₂²⋊Q₈	—	89	1	no	—
795	C₄×C₂²⋊Q₈	—	89	1	no	—
796	C₄×C₂²⋊Q₈	—	89	1	no	—
797	#2296	—	89	1	no	—
798	#2296	—	89	1	no	—
799	#2285	—	89	1	no	—
800	#2280	—	89	1	no	—
801	C₂×C₄×C₂²⋊C₄	—	89	1	no	—
802	C₈₉	#34739	1	1	yes	characteristic, complemented, Sylow
803	C₂⁴×C₄	—	89	1	no	—
804	#533	—	178	8	no	—
805	C₂×C₄⋊Q₈	—	89	1	no	—
806	C₂×C₄⋊Q₈	—	89	1	no	—
807	C₂×#125	—	89	1	no	—
808	C₂×#125	—	89	1	no	—
809	C₂×C₂²⋊Q₈	—	89	1	no	—
810	C₂×C₂²⋊Q₈	—	89	1	no	—
811	C₂×C₂²⋊Q₈	—	89	1	no	—
812	C₂×C₂²⋊Q₈	—	89	1	no	—
813	C₂×C₂²⋊Q₈	—	89	1	no	—
814	C₂×C₂²⋊Q₈	—	89	1	no	—
815	C₂×C₂²⋊Q₈	—	89	1	no	—
816	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic
817	C₂×C₄×Q₈	—	89	1	no	—
818	C₂×C₄×Q₈	—	89	1	no	—
819	C₂×C₄×Q₈	—	89	1	no	—
820	C₂×C₄×Q₈	—	89	1	no	—
821	C₂×#117	—	89	1	no	—
822	C₂×#117	—	89	1	no	—
823	C₂×#117	—	89	1	no	—
824	C₂×#117	—	89	1	no	—
825	C₂×#117	—	89	1	no	—
826	C₂×#117	—	89	1	no	—
827	C₂×#117	—	89	1	no	—
828	C₂×#117	—	89	1	no	—
829	C₂×#117	—	89	1	no	—
830	C₂×#117	—	178	8	no	—
831	C₂×#117	C₂×D₈₉	1	1	yes	characteristic
832	C₂²×C₄⋊C₄	—	89	1	no	—
833	C₂²×C₄⋊C₄	—	89	1	no	—
834	C₂²×C₂²⋊C₄	—	89	1	no	—
835	C₂²×C₂²⋊C₄	—	89	1	no	—
836	C₂²×C₂²⋊C₄	—	89	1	no	—
837	C₂²×C₂²⋊C₄	—	89	1	no	—
838	C₂²×C₄²	—	89	1	no	—
839	C₂²×C₄²	—	89	1	no	—
840	C₂²×C₄²	—	89	1	no	—
841	C₂²×C₄²	—	89	1	no	—
842	#400	—	89	1	no	—
843	#400	—	89	1	no	—
844	#400	—	89	1	no	—
845	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
846	#399	—	89	1	no	—
847	#399	—	89	1	no	—
848	#399	—	89	1	no	—
849	#399	—	89	1	no	—
850	#398	—	89	1	no	—
851	#398	—	89	1	no	—
852	#398	—	89	1	no	—
853	#398	—	89	1	no	—
854	#398	—	89	1	no	—
855	#398	—	89	1	no	—
856	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
857	#398	C₂×D₈₉	1	1	yes	characteristic, complemented
858	#396	—	89	1	no	—
859	#396	—	89	1	no	—
860	#396	—	89	1	no	—
861	#396	—	89	1	no	—
862	#396	—	89	1	no	—
863	#396	—	89	1	no	—
864	#396	—	89	1	no	—
865	#396	—	89	1	no	—
866	#395	—	89	1	no	—
867	#395	—	89	1	no	—
868	#395	—	89	1	no	—
869	#395	C₂×D₈₉	1	1	yes	characteristic, complemented
870	#393	—	89	1	no	—
871	#393	—	89	1	no	—
872	#393	—	89	1	no	—
873	#393	—	89	1	no	—
874	#391	—	89	1	no	—
875	#391	—	89	1	no	—
876	#391	—	89	1	no	—
877	#391	C₂×D₈₉	1	1	yes	characteristic, complemented
878	#389	—	89	1	no	—
879	#389	—	89	1	no	—
880	#389	—	89	1	no	—
881	#389	—	89	1	no	—
882	#389	—	89	1	no	—
883	#389	—	89	1	no	—
884	#389	—	89	1	no	—
885	#389	—	89	1	no	—
886	#389	—	89	1	no	—
887	#389	—	89	1	no	—
888	#389	—	89	1	no	—
889	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
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	C₂×D₈₉	1	1	yes	characteristic, complemented
897	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
898	#385	—	89	1	no	—
899	#385	—	89	1	no	—
900	#385	—	89	1	no	—
901	#385	—	89	1	no	—
902	#385	—	89	1	no	—
903	#385	—	89	1	no	—
904	#385	—	89	1	no	—
905	#385	—	89	1	no	—
906	#385	—	89	1	no	—
907	#385	—	89	1	no	—
908	#385	—	89	1	no	—
909	#385	—	89	1	no	—
910	#385	—	89	1	no	—
911	#385	—	89	1	no	—
912	#385	C₂×D₈₉	1	1	yes	characteristic
913	#385	C₂×D₈₉	1	1	yes	characteristic
914	#384	—	89	1	no	—
915	#384	—	89	1	no	—
916	#382	—	89	1	no	—
917	#382	—	89	1	no	—
918	#381	—	89	1	no	—
919	#381	C₂×D₈₉	1	1	yes	characteristic
920	#380	—	89	1	no	—
921	#380	—	89	1	no	—
922	#380	—	89	1	no	—
923	#380	—	89	1	no	—
924	#380	—	89	1	no	—
925	#380	—	89	1	no	—
926	#380	—	89	1	no	—
927	#380	—	89	1	no	—
928	#380	—	89	1	no	—
929	#380	—	89	1	no	—
930	#380	—	89	1	no	—
931	#380	C₂×D₈₉	1	1	yes	characteristic
932	#379	—	89	1	no	—
933	#379	—	89	1	no	—
934	C₄×C₄⋊C₄	—	89	1	no	—
935	C₄×C₄⋊C₄	—	89	1	no	—
936	C₄×C₄⋊C₄	—	89	1	no	—
937	C₄×C₄⋊C₄	—	89	1	no	—
938	C₄×C₄⋊C₄	—	89	1	no	—
939	C₄×C₄⋊C₄	—	89	1	no	—
940	C₄×C₄⋊C₄	—	89	1	no	—
941	C₄×C₄⋊C₄	—	89	1	no	—
942	C₄×C₄⋊C₄	—	89	1	no	—
943	C₄×C₄⋊C₄	—	89	1	no	—
944	C₄×C₄⋊C₄	—	89	1	no	—
945	C₄×C₄⋊C₄	—	89	1	no	—
946	C₄×C₂²⋊C₄	—	89	1	no	—
947	C₄×C₂²⋊C₄	—	89	1	no	—
948	C₄×C₂²⋊C₄	—	89	1	no	—
949	C₄×C₂²⋊C₄	—	89	1	no	—
950	C₄×C₂²⋊C₄	—	89	1	no	—
951	C₄×C₂²⋊C₄	—	89	1	no	—
952	C₄×C₂²⋊C₄	—	89	1	no	—
953	C₄×C₂²⋊C₄	—	89	1	no	—
954	C₄×C₂²⋊C₄	—	89	1	no	—
955	C₄×C₂²⋊C₄	—	89	1	no	—
956	C₄×C₂²⋊C₄	—	89	1	no	—
957	C₄×C₂²⋊C₄	—	89	1	no	—
958	C₂×#95	—	89	1	no	—
959	C₂×#95	C₂×D₈₉	1	1	yes	characteristic
960	C₂⁵	—	89	1	no	—
961	C₂²×Q₈	—	89	1	no	—
962	C₂²×Q₈	—	89	1	no	—
963	C₂²×Q₈	—	89	1	no	—
964	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
965	C₂³×C₄	—	89	1	no	—
966	C₂³×C₄	—	89	8	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	—	89	1	no	—
975	C₂³×C₄	—	89	1	no	—
976	C₂³×C₄	—	89	1	no	—
977	C₂³×C₄	—	178	4	no	—
978	C₂³×C₄	—	178	4	no	—
979	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
980	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
981	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
982	C₄⋊Q₈	—	178	4	no	—
983	C₄⋊Q₈	—	178	4	no	—
984	#125	—	178	4	no	—
985	#125	—	178	4	no	—
986	C₂²⋊Q₈	—	2	4	no	—
987	C₂²⋊Q₈	—	178	4	no	—
988	C₂²⋊Q₈	—	178	4	no	—
989	C₂²⋊Q₈	—	178	4	no	—
990	C₂²⋊Q₈	—	178	4	no	—
991	C₂²⋊Q₈	—	178	4	no	—
992	C₂²⋊Q₈	—	178	4	no	—
993	C₂²⋊Q₈	—	178	4	no	—
994	C₄×Q₈	—	178	4	no	—
995	C₄×Q₈	—	178	4	no	—
996	C₄×Q₈	—	178	4	no	—
997	C₄×Q₈	—	178	4	no	—
998	#117	—	2	4	no	—
999	#117	—	89	8	no	—
1000	#117	—	178	4	no	—
1001	#117	—	178	4	no	—
1002	#117	—	178	4	no	—
1003	#117	—	178	4	no	—
1004	#117	—	178	4	no	—
1005	#117	—	178	4	no	—
1006	#117	—	178	4	no	—
1007	#117	—	178	4	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	—	89	1	no	—
1023	C₂×C₄⋊C₄	—	89	1	no	—
1024	C₂×C₄⋊C₄	—	89	1	no	—
1025	C₂×C₄⋊C₄	—	89	1	no	—
1026	C₂×C₄⋊C₄	—	89	1	no	—
1027	C₂×C₄⋊C₄	—	89	1	no	—
1028	C₂×C₄⋊C₄	—	89	1	no	—
1029	C₂×C₄⋊C₄	—	89	1	no	—
1030	C₂×C₄⋊C₄	—	89	1	no	—
1031	C₂×C₄⋊C₄	—	89	1	no	—
1032	C₂×C₄⋊C₄	—	89	1	no	—
1033	C₂×C₄⋊C₄	—	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	—	178	4	no	—
1046	C₂×C₄⋊C₄	—	178	4	no	—
1047	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
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×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	—	89	1	no	—
1059	C₂×C₂²⋊C₄	—	89	1	no	—
1060	C₂×C₂²⋊C₄	—	89	1	no	—
1061	C₂×C₂²⋊C₄	—	89	1	no	—
1062	C₂×C₂²⋊C₄	—	89	1	no	—
1063	C₂×C₂²⋊C₄	—	89	1	no	—
1064	C₂×C₂²⋊C₄	—	89	1	no	—
1065	C₂×C₂²⋊C₄	—	89	1	no	—
1066	C₂×C₂²⋊C₄	—	89	1	no	—
1067	C₂×C₂²⋊C₄	—	89	1	no	—
1068	C₂×C₂²⋊C₄	—	89	1	no	—
1069	C₂×C₂²⋊C₄	—	89	1	no	—
1070	C₂×C₂²⋊C₄	—	89	1	no	—
1071	C₂×C₂²⋊C₄	—	89	1	no	—
1072	C₂×C₂²⋊C₄	—	89	1	no	—
1073	C₂×C₂²⋊C₄	—	89	1	no	—
1074	C₂×C₂²⋊C₄	—	89	1	no	—
1075	C₂×C₂²⋊C₄	—	89	1	no	—
1076	C₂×C₂²⋊C₄	—	89	1	no	—
1077	C₂×C₂²⋊C₄	—	89	1	no	—
1078	C₂×C₂²⋊C₄	—	89	1	no	—
1079	C₂×C₂²⋊C₄	—	89	1	no	—
1080	C₂×C₂²⋊C₄	—	89	1	no	—
1081	C₂×C₂²⋊C₄	—	89	1	no	—
1082	C₂×C₂²⋊C₄	—	178	4	no	—
1083	C₂×C₂²⋊C₄	—	178	4	no	—
1084	C₂×C₂²⋊C₄	—	178	4	no	—
1085	C₂×C₂²⋊C₄	—	178	4	no	—
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×C₄²	—	89	1	no	—
1091	C₂×C₄²	—	89	1	no	—
1092	C₂×C₄²	—	89	1	no	—
1093	C₂×C₄²	—	89	1	no	—
1094	C₂×C₄²	—	89	1	no	—
1095	C₂×C₄²	—	89	1	no	—
1096	C₂×C₄²	—	89	1	no	—
1097	C₂×C₄²	—	89	1	no	—
1098	C₂×C₄²	—	89	1	no	—
1099	C₂×C₄²	—	89	1	no	—
1100	C₂×C₄²	—	89	1	no	—
1101	C₂×C₄²	—	89	1	no	—
1102	C₂×C₄²	—	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	—	178	4	no	—
1109	C₂×C₄²	—	178	4	no	—
1110	C₂×C₄²	—	178	4	no	—
1111	C₂×C₄²	—	178	4	no	—
1112	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1113	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
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	C₂²×D₈₉	1	1	yes	characteristic
1141	#95	C₂²×D₈₉	1	1	yes	characteristic
1142	#95	C₂²×D₈₉	1	1	yes	characteristic
1143	#95	C₂²×D₈₉	1	1	yes	characteristic
1144	#95	C₂²×D₈₉	1	1	yes	characteristic
1145	#95	C₂²×D₈₉	1	1	yes	characteristic
1146	#95	C₂²×D₈₉	1	1	yes	characteristic
1147	#95	C₂²×D₈₉	1	1	yes	characteristic
1148	#95	C₂²×D₈₉	1	1	yes	characteristic
1149	#95	C₂²×D₈₉	1	1	yes	characteristic
1150	#95	C₂²×D₈₉	1	1	yes	characteristic
1151	#95	C₂²×D₈₉	1	1	yes	characteristic
1152	#95	C₂²×D₈₉	1	1	yes	characteristic
1153	#95	C₂²×D₈₉	1	1	yes	characteristic
1154	C₂⁴	—	89	1	no	—
1155	C₂⁴	—	89	4	no	—
1156	C₂⁴	—	89	1	no	—
1157	C₂⁴	—	356	1	no	—
1158	C₂⁴	—	356	1	no	—
1159	C₂⁴	—	178	2	no	—
1160	C₂⁴	—	178	2	no	—
1161	C₂⁴	—	178	2	no	—
1162	C₂⁴	—	178	2	no	—
1163	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1164	C₂×Q₈	—	2	2	no	—
1165	C₂×Q₈	—	2	2	no	—
1166	C₂×Q₈	—	4	1	no	—
1167	C₂×Q₈	—	356	1	no	—
1168	C₂×Q₈	—	356	1	no	—
1169	C₂×Q₈	—	356	1	no	—
1170	C₂×Q₈	—	178	2	no	—
1171	C₂×Q₈	—	178	2	no	—
1172	C₂×Q₈	—	178	2	no	—
1173	C₂×Q₈	—	178	2	no	—
1174	C₂×Q₈	—	178	2	no	—
1175	C₂×Q₈	—	178	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	89	4	no	—
1185	C₂²×C₄	—	89	4	no	—
1186	C₂²×C₄	—	89	4	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	—	89	1	no	—
1192	C₂²×C₄	—	89	1	no	—
1193	C₂²×C₄	—	89	4	no	—
1194	C₂²×C₄	—	89	4	no	—
1195	C₂²×C₄	—	89	4	no	—
1196	C₂²×C₄	—	89	4	no	—
1197	C₂²×C₄	—	89	1	no	—
1198	C₂²×C₄	—	89	1	no	—
1199	C₂²×C₄	—	89	1	no	—
1200	C₂²×C₄	—	89	1	no	—
1201	C₂²×C₄	—	89	1	no	—
1202	C₂²×C₄	—	89	1	no	—
1203	C₂²×C₄	—	89	1	no	—
1204	C₂²×C₄	—	89	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	—	178	2	no	—
1212	C₂²×C₄	—	178	2	no	—
1213	C₂²×C₄	—	178	2	no	—
1214	C₂²×C₄	—	178	2	no	—
1215	C₂²×C₄	—	178	2	no	—
1216	C₂²×C₄	—	178	2	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	32	no	—
1222	C₂²×C₄	—	178	2	no	—
1223	C₂²×C₄	—	178	2	no	—
1224	C₂²×C₄	—	178	2	no	—
1225	C₂²×C₄	—	178	2	no	—
1226	C₂²×C₄	—	178	2	no	—
1227	C₂²×C₄	—	178	2	no	—
1228	C₂²×C₄	—	178	2	no	—
1229	C₂²×C₄	—	178	2	no	—
1230	C₂²×C₄	—	178	2	no	—
1231	C₂²×C₄	—	178	2	no	—
1232	C₂²×C₄	Q₈×D₈₉	1	4	yes	—
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	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	89	4	no	—
1259	C₄⋊C₄	—	89	4	no	—
1260	C₄⋊C₄	—	356	1	no	—
1261	C₄⋊C₄	—	356	1	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	—	178	2	no	—
1270	C₄⋊C₄	—	178	2	no	—
1271	C₄⋊C₄	—	178	2	no	—
1272	C₄⋊C₄	—	178	2	no	—
1273	C₄⋊C₄	—	178	2	no	—
1274	C₄⋊C₄	—	178	2	no	—
1275	C₄⋊C₄	—	178	2	no	—
1276	C₄⋊C₄	—	178	2	no	—
1277	C₄⋊C₄	—	178	2	no	—
1278	C₄⋊C₄	—	178	2	no	—
1279	C₄⋊C₄	—	178	2	no	—
1280	C₄⋊C₄	—	178	2	no	—
1281	C₄⋊C₄	—	178	2	no	—
1282	C₄⋊C₄	—	178	2	no	—
1283	C₄⋊C₄	—	178	2	no	—
1284	C₄⋊C₄	—	178	2	no	—
1285	C₄⋊C₄	—	178	2	no	—
1286	C₄⋊C₄	—	178	2	no	—
1287	C₄⋊C₄	—	178	2	no	—
1288	C₄⋊C₄	—	178	2	no	—
1289	C₄⋊C₄	—	178	2	no	—
1290	C₄⋊C₄	—	178	2	no	—
1291	C₄⋊C₄	—	178	2	no	—
1292	C₄⋊C₄	—	178	2	no	—
1293	C₄⋊C₄	—	178	2	no	—
1294	C₄⋊C₄	—	178	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	89	4	no	—
1299	C₂²⋊C₄	—	89	4	no	—
1300	C₂²⋊C₄	—	89	4	no	—
1301	C₂²⋊C₄	—	356	1	no	—
1302	C₂²⋊C₄	—	356	1	no	—
1303	C₂²⋊C₄	—	356	1	no	—
1304	C₂²⋊C₄	—	356	1	no	—
1305	C₂²⋊C₄	—	178	2	no	—
1306	C₂²⋊C₄	—	178	2	no	—
1307	C₂²⋊C₄	—	178	2	no	—
1308	C₂²⋊C₄	—	178	2	no	—
1309	C₂²⋊C₄	—	178	2	no	—
1310	C₂²⋊C₄	—	178	2	no	—
1311	C₂²⋊C₄	—	178	2	no	—
1312	C₂²⋊C₄	—	178	2	no	—
1313	C₂²⋊C₄	—	178	2	no	—
1314	C₂²⋊C₄	—	178	2	no	—
1315	C₂²⋊C₄	—	178	2	no	—
1316	C₂²⋊C₄	—	178	2	no	—
1317	C₂²⋊C₄	—	178	2	no	—
1318	C₂²⋊C₄	—	178	2	no	—
1319	C₂²⋊C₄	—	178	2	no	—
1320	C₂²⋊C₄	—	178	2	no	—
1321	C₂²⋊C₄	—	178	2	no	—
1322	C₂²⋊C₄	D₄×D₈₉	1	4	yes	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	89	4	no	—
1326	C₄²	—	89	4	no	—
1327	C₄²	—	178	2	no	—
1328	C₄²	—	178	2	no	—
1329	C₄²	—	178	2	no	—
1330	C₄²	—	178	2	no	—
1331	C₄²	—	178	2	no	—
1332	C₄²	—	178	2	no	—
1333	C₄²	—	178	2	no	—
1334	C₄²	—	178	2	no	—
1335	C₄²	—	178	2	no	—
1336	C₄²	—	178	2	no	—
1337	C₄²	—	178	2	no	—
1338	C₄²	—	178	2	no	—
1339	C₄²	—	178	2	no	—
1340	C₄²	—	178	2	no	—
1341	C₄²	—	178	2	no	—
1342	C₄²	—	178	2	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	89	2	no	—
1348	C₂³	—	89	2	no	—
1349	C₂³	—	89	2	no	—
1350	C₂³	—	89	2	no	—
1351	C₂³	—	356	4	no	—
1352	C₂³	—	356	4	no	—
1353	C₂³	—	356	4	no	—
1354	C₂³	—	356	4	no	—
1355	C₂³	—	356	4	no	—
1356	C₂³	—	178	8	no	—
1357	C₂³	—	178	1	no	—
1358	C₂³	—	178	1	no	—
1359	C₂³	—	178	1	no	—
1360	C₂³	—	178	1	no	—
1361	C₂³	—	178	1	no	—
1362	C₂³	—	178	1	no	—
1363	C₂³	—	178	8	no	—
1364	C₂³	—	178	1	no	—
1365	C₂³	—	178	1	no	—
1366	C₂³	—	178	1	no	—
1367	C₂³	—	178	1	no	—
1368	C₂³	C₂×D₄×D₈₉	1	2	yes	—
1369	C₂³	C₂×Q₈×D₈₉	1	2	yes	—
1370	C₂³	#41×D₈₉	1	2	yes	—
1371	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1372	Q₈	—	4	4	no	—
1373	Q₈	—	356	4	no	—
1374	Q₈	—	356	4	no	—
1375	Q₈	—	356	4	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	8	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	89	2	no	—
1416	C₂×C₄	—	89	2	no	—
1417	C₂×C₄	—	89	2	no	—
1418	C₂×C₄	—	89	2	no	—
1419	C₂×C₄	—	89	2	no	—
1420	C₂×C₄	—	89	2	no	—
1421	C₂×C₄	—	89	16	no	—
1422	C₂×C₄	—	89	2	no	—
1423	C₂×C₄	—	89	2	no	—
1424	C₂×C₄	—	89	2	no	—
1425	C₂×C₄	—	89	2	no	—
1426	C₂×C₄	—	356	4	no	—
1427	C₂×C₄	—	356	4	no	—
1428	C₂×C₄	—	356	4	no	—
1429	C₂×C₄	—	356	4	no	—
1430	C₂×C₄	—	356	4	no	—
1431	C₂×C₄	—	356	4	no	—
1432	C₂×C₄	—	178	8	no	—
1433	C₂×C₄	—	178	8	no	—
1434	C₂×C₄	—	178	8	no	—
1435	C₂×C₄	—	178	8	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	—	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	C₂×D₄×D₈₉	1	2	yes	—
1469	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1470	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1471	C₂×C₄	C₂×Q₈×D₈₉	1	2	yes	—
1472	C₂×C₄	#41×D₈₉	1	2	yes	—
1473	C₂×C₄	#41×D₈₉	1	2	yes	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	2	no	—
1476	C₂²	—	2	2	no	—
1477	C₂²	—	2	2	no	—
1478	C₂²	—	2	2	no	—
1479	C₂²	—	2	2	no	—
1480	C₂²	—	89	4	no	—
1481	C₂²	—	356	16	no	—
1482	C₂²	—	356	1	no	—
1483	C₂²	—	356	1	no	—
1484	C₂²	—	356	1	no	—
1485	C₂²	—	356	1	no	—
1486	C₂²	—	178	2	no	—
1487	C₂²	—	178	2	no	—
1488	C₂²	—	178	2	no	—
1489	C₂²	—	178	2	no	—
1490	C₂²	—	178	2	no	—
1491	C₂²	—	178	2	no	—
1492	C₂²	—	178	2	no	—
1493	C₂²	—	178	2	no	—
1494	C₂²	—	178	2	no	—
1495	C₂²	C₂²⋊Q₈×D₈₉	1	4	yes	—
1496	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1497	C₂²	C₂²×Q₈×D₈₉	1	1	yes	characteristic
1498	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1499	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1500	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1501	C₂²	#19152433	1	1	yes	characteristic
1502	C₂²	#19152435	1	1	yes	characteristic
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	2	2	no	—
1507	C₄	—	2	2	no	—
1508	C₄	—	2	2	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	89	4	no	—
1518	C₄	—	89	4	no	—
1519	C₄	—	356	1	no	—
1520	C₄	—	356	1	no	—
1521	C₄	—	356	1	no	—
1522	C₄	—	356	1	no	—
1523	C₄	—	356	1	no	—
1524	C₄	—	356	1	no	—
1525	C₄	—	356	1	no	—
1526	C₄	—	356	1	no	—
1527	C₄	—	178	2	no	—
1528	C₄	—	178	2	no	—
1529	C₄	—	178	2	no	—
1530	C₄	—	178	2	no	—
1531	C₂	—	2	4	no	—
1532	C₂	—	356	2	no	—
1533	C₂	—	178	4	no	—
1534	C₂	C₂×C₂²⋊Q₈×D₈₉	1	1	yes	characteristic
1535	C₂	#533×D₈₉	1	1	yes	characteristic
1536	C₂	#26033656	1	1	yes	characteristic
1537	C₂	#26033736	1	1	yes	characteristic
1538	C₂	#26033739	1	1	yes	characteristic
1539	C₂	#26033807	1	1	yes	characteristic
1540	C₂	#26033817	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2438	C₂
prime radical	C₂⁴×D₈₉	C₂³
hypercenter	#2438	D₈₉
hypocenter	C₈₉	#34739
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2438

Complements

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

N	H ≅ G/N	type
1. C₂×#19152150	C₂	semidirect
3. #26023971	C₂	semidirect
4. #26023969	C₂	semidirect
5. #26023964	C₂	semidirect
6. #26023962	C₂	semidirect
7. #26023949	C₂	semidirect
8. #26023947	C₂	semidirect
9. #26023942	C₂	semidirect
10. #26023940	C₂	semidirect
11. #26023930	C₂	semidirect
12. #26023928	C₂	semidirect
13. #26023922	C₂	semidirect
18. #26023529	C₂	semidirect
19. #26023529	C₂	semidirect
20. #26023525	C₂	semidirect
21. #26023523	C₂	semidirect
22. #26022790	C₂	semidirect
23. #26022786	C₂	semidirect
24. #26022786	C₂	semidirect
25. #26022782	C₂	semidirect
26. #26022731	C₂	semidirect
27. #26022731	C₂	semidirect
28. #26022654	C₂	semidirect
31. C₈₉×#2438	C₂	semidirect
34. C₂×#15668011	C₂²	semidirect
35. C₂×#15668010	C₂²	semidirect
36. C₂×#15668002	C₂²	semidirect
37. C₂×#15668002	C₂²	semidirect
45. C₂×Q₈×Dic₈₉	C₂²	semidirect
46. C₂×#15667977	C₂²	semidirect
47. C₂×#15667977	C₂²	semidirect
48. C₂×#15667977	C₂²	semidirect
69. #19151540	C₂²	semidirect
70. #19151540	C₂²	semidirect
71. #19151537	C₂²	semidirect
76. #19151532	C₂²	semidirect
77. #19151532	C₂²	semidirect
78. #19151531	C₂²	semidirect
79. #19151531	C₂²	semidirect
80. #19151530	C₂²	semidirect
81. #19151530	C₂²	semidirect
90. #19151519	C₂²	semidirect
91. #19151519	C₂²	semidirect
92. #19151518	C₂²	semidirect
97. #19151504	C₂²	semidirect
98. #19151502	C₂²	semidirect
99. #19151502	C₂²	semidirect
100. #19151496	C₂²	semidirect
101. #19151495	C₂²	semidirect
102. #19151495	C₂²	semidirect
103. #19151495	C₂²	semidirect
104. #19151495	C₂²	semidirect
105. #19151495	C₂²	semidirect
106. #19151495	C₂²	semidirect
107. #19151493	C₂²	semidirect
108. #19151493	C₂²	semidirect
109. #19151493	C₂²	semidirect
110. #19151493	C₂²	semidirect
111. #19151485	C₂²	semidirect
112. #19151485	C₂²	semidirect
113. #19151482	C₂²	semidirect
114. #19151482	C₂²	semidirect
115. #19151481	C₂²	semidirect
116. #19151481	C₂²	semidirect
131. #19151467	C₂²	semidirect
132. #19151467	C₂²	semidirect
133. #19151462	C₂²	semidirect
134. #19151462	C₂²	semidirect
149. C₄⋊C₄×Dic₈₉	C₂²	semidirect
150. C₄⋊C₄×Dic₈₉	C₂²	semidirect
151. C₄⋊C₄×Dic₈₉	C₂²	semidirect
152. C₄⋊C₄×Dic₈₉	C₂²	semidirect
153. C₄⋊C₄×Dic₈₉	C₂²	semidirect
154. C₄⋊C₄×Dic₈₉	C₂²	semidirect
155. #19151449	C₂²	semidirect
156. #19151449	C₂²	semidirect
157. #19151449	C₂²	semidirect
158. #19151449	C₂²	semidirect
159. #19151449	C₂²	semidirect
160. #19151449	C₂²	semidirect
176. #400×C₈₉	C₂²	semidirect
177. #398×C₈₉	C₂²	semidirect
178. #398×C₈₉	C₂²	semidirect
179. #395×C₈₉	C₂²	semidirect
180. #391×C₈₉	C₂²	semidirect
181. #389×C₈₉	C₂²	semidirect
182. #387×C₈₉	C₂²	semidirect
183. #387×C₈₉	C₂²	semidirect
198. C₂²×C₄×D₈₉	Q₈	semidirect
681. C₂×Dic₈₉	C₂²⋊Q₈	semidirect
731. C₂×D₈₉	#533	semidirect
784. #2438	D₈₉	semidirect
802. C₈₉	#34739	semidirect
845. #400	C₂×D₈₉	semidirect
856. #398	C₂×D₈₉	semidirect
857. #398	C₂×D₈₉	semidirect
869. #395	C₂×D₈₉	semidirect
877. #391	C₂×D₈₉	semidirect
889. #389	C₂×D₈₉	semidirect
896. #387	C₂×D₈₉	semidirect
897. #387	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19152150	2
C₂×#117×D₈₉	2
#26023971	2
#26023969	2
#26023964	2
#26023962	2
#26023949	2
#26023947	2
#26023942	2
#26023940	2
#26023930	2
#26023928	2
#26023922	2
#26023920	2
#26023917	2
#26023916	2
#26023915	2
#26023529	2
#26023525	2
#26023523	2
#26022790	2
#26022786	2
#26022782	2
#26022731	2
#26022654	2
#26022632	2
C₂×#19151445	2
C₈₉×#2438	2
#34739	89