Subgroups — #36761273

Order 22784.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19152225	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#123×D₈₉	C₂	1	1	yes	maximal, characteristic
3	#26028538	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028536	C₂	1	1	yes	maximal, characteristic, complemented
5	#26026778	C₂	1	1	yes	maximal, characteristic, complemented
6	#26026776	C₂	1	1	yes	maximal, characteristic, complemented
7	#26026775	C₂	1	1	yes	maximal, characteristic, complemented
8	#26026773	C₂	1	1	yes	maximal, characteristic, complemented
9	#26026771	C₂	1	1	yes	maximal, characteristic, complemented
10	#26026770	C₂	1	1	yes	maximal, characteristic, complemented
11	#26026769	C₂	1	1	yes	maximal, characteristic, complemented
12	#26026768	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026539	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026538	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026532	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026529	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026528	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026527	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026526	C₂	1	1	yes	maximal, characteristic, complemented
20	#26026062	C₂	1	1	yes	maximal, characteristic, complemented
21	#26026056	C₂	1	1	yes	maximal, characteristic, complemented
22	#26025630	C₂	1	1	yes	maximal, characteristic, complemented
23	#26025628	C₂	1	1	yes	maximal, characteristic, complemented
24	#26024527	C₂	1	1	yes	maximal, characteristic, complemented
25	#26024524	C₂	1	1	yes	maximal, characteristic, complemented
26	#26024524	C₂	1	1	yes	maximal, characteristic, complemented
27	#26024521	C₂	1	1	yes	maximal, characteristic, complemented
28	#26023900	C₂	1	1	yes	maximal, characteristic
29	#26023898	C₂	1	1	yes	maximal, characteristic
30	#26022851	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2674	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₈₉	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
34	#19152225	—	2	8	no	—
35	C₂×#15668011	C₂²	1	1	yes	characteristic, complemented
36	C₂×#15668010	C₂²	1	1	yes	characteristic, complemented
37	C₂×#15668010	C₂²	1	1	yes	characteristic, complemented
38	C₂×#15668004	C₂²	1	1	yes	characteristic, complemented
39	C₂×#15668003	C₂²	1	1	yes	characteristic, complemented
40	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
41	C₂×#15668002	C₂²	1	1	yes	characteristic, complemented
42	C₂×#15668001	C₂²	1	1	yes	characteristic
43	C₂×#15667998	C₂²	1	1	yes	characteristic
44	C₂×#15667998	C₂²	1	1	yes	characteristic
45	C₂×#15667997	C₂²	1	1	yes	characteristic
46	C₂×#15667997	C₂²	1	1	yes	characteristic
47	C₂×#15667996	C₂²	1	1	yes	characteristic
48	C₂×#15667995	C₂²	1	1	yes	characteristic
49	C₂×#15667994	C₂²	1	1	yes	characteristic
50	C₂×#15667994	C₂²	1	1	yes	characteristic
51	C₂×#15667993	C₂²	1	1	yes	characteristic
52	#123×D₈₉	—	2	8	no	—
53	C₂×#15667990	C₂²	1	1	yes	characteristic
54	C₂×#15667990	C₂²	1	1	yes	characteristic
55	C₂×#15667990	C₂²	1	1	yes	characteristic, complemented
56	C₂×#15667989	C₂²	1	1	yes	characteristic, complemented
57	C₂×#15667988	C₂²	1	1	yes	characteristic
58	C₂×#15667988	C₂²	1	1	yes	characteristic
59	C₂×#15667988	C₂²	1	1	yes	characteristic, complemented
60	C₂×#15667970	C₂²	1	1	yes	characteristic
61	C₂×#15667969	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
63	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
67	#19151535	C₂²	1	1	yes	characteristic, complemented
68	#19151535	C₂²	1	1	yes	characteristic, complemented
69	#19151534	C₂²	1	1	yes	characteristic, complemented
70	#19151534	C₂²	1	1	yes	characteristic, complemented
71	#19151534	C₂²	1	1	yes	characteristic, complemented
72	#19151534	C₂²	1	1	yes	characteristic, complemented
73	#19151534	C₂²	1	1	yes	characteristic, complemented
74	#19151533	C₂²	1	1	yes	characteristic, complemented
75	#19151533	C₂²	1	1	yes	characteristic, complemented
76	#19151533	C₂²	1	1	yes	characteristic, complemented
77	#19151533	C₂²	1	1	yes	characteristic, complemented
78	#19151532	C₂²	1	1	yes	characteristic, complemented
79	#19151531	C₂²	1	1	yes	characteristic, complemented
80	#19151530	C₂²	1	1	yes	characteristic, complemented
81	#19151528	C₂²	1	1	yes	characteristic, complemented
82	#19151527	C₂²	1	1	yes	characteristic, complemented
83	#19151527	C₂²	1	1	yes	characteristic, complemented
84	#19151526	C₂²	1	1	yes	characteristic, complemented
85	#19151526	C₂²	1	1	yes	characteristic, complemented
86	#19151525	C₂²	1	1	yes	characteristic, complemented
87	#19151524	C₂²	1	1	yes	characteristic, complemented
88	#19151523	C₂²	1	1	yes	characteristic, complemented
89	#19151522	C₂²	1	1	yes	characteristic, complemented
90	#19151522	C₂²	1	1	yes	characteristic, complemented
91	#19151521	C₂²	1	1	yes	characteristic, complemented
92	#19151521	C₂²	1	1	yes	characteristic, complemented
93	#19151521	C₂²	1	1	yes	characteristic, complemented
94	#19151520	C₂²	1	1	yes	characteristic, complemented
95	#19151520	C₂²	1	1	yes	characteristic, complemented
96	#19151519	C₂²	1	1	yes	characteristic, complemented
97	#19151518	C₂²	1	1	yes	characteristic, complemented
98	#19151517	C₂²	1	1	yes	characteristic, complemented
99	#19151516	C₂²	1	1	yes	characteristic
100	#19151515	C₂²	1	1	yes	characteristic
101	#19151513	C₂²	1	1	yes	characteristic
102	#19151513	C₂²	1	1	yes	characteristic
103	#19151513	C₂²	1	1	yes	characteristic
104	#19151513	C₂²	1	1	yes	characteristic
105	#19151512	C₂²	1	1	yes	characteristic
106	#19151511	C₂²	1	1	yes	characteristic, complemented
107	#19151510	C₂²	1	1	yes	characteristic, complemented
108	#19151509	C₂²	1	1	yes	characteristic, complemented
109	#19151501	C₂²	1	1	yes	characteristic
110	#19151500	C₂²	1	1	yes	characteristic
111	#19151498	C₂²	1	1	yes	characteristic
112	#19151498	C₂²	1	1	yes	characteristic
113	#19151496	C₂²	1	1	yes	characteristic, complemented
114	#19151495	C₂²	1	1	yes	characteristic, complemented
115	#19151495	C₂²	1	1	yes	characteristic, complemented
116	#19151494	C₂²	1	1	yes	characteristic, complemented
117	#19151494	C₂²	1	1	yes	characteristic, complemented
118	#19151493	C₂²	1	1	yes	characteristic, complemented
119	#19151493	C₂²	1	1	yes	characteristic, complemented
120	#19151492	C₂²	1	1	yes	characteristic, complemented
121	#19151492	C₂²	1	1	yes	characteristic, complemented
122	#19151491	C₂²	1	1	yes	characteristic, complemented
123	#19151491	C₂²	1	1	yes	characteristic, complemented
124	#19151490	C₂²	1	1	yes	characteristic, complemented
125	#19151490	C₂²	1	1	yes	characteristic, complemented
126	#19151489	C₂²	1	1	yes	characteristic, complemented
127	#19151489	C₂²	1	1	yes	characteristic, complemented
128	#19151488	C₂²	1	1	yes	characteristic, complemented
129	#19151488	C₂²	1	1	yes	characteristic, complemented
130	#19151487	C₂²	1	1	yes	characteristic, complemented
131	#19151487	C₂²	1	1	yes	characteristic, complemented
132	#19151486	C₂²	1	1	yes	characteristic, complemented
133	#19151486	C₂²	1	1	yes	characteristic, complemented
134	#19151485	C₂²	1	1	yes	characteristic, complemented
135	#19151484	C₂²	1	1	yes	characteristic, complemented
136	#19151483	C₂²	1	1	yes	characteristic, complemented
137	#19151482	C₂²	1	1	yes	characteristic, complemented
138	#19151481	C₂²	1	1	yes	characteristic, complemented
139	#19151480	C₂²	1	1	yes	characteristic, complemented
140	#19151479	C₂²	1	1	yes	characteristic, complemented
141	#19151472	C₂²	1	1	yes	characteristic
142	#19151472	C₂²	1	1	yes	characteristic
143	#19151472	C₂²	1	1	yes	characteristic
144	#19151472	C₂²	1	1	yes	characteristic
145	#19151472	C₂²	1	1	yes	characteristic, complemented
146	#19151471	C₂²	1	1	yes	characteristic, complemented
147	#19151470	C₂²	1	1	yes	characteristic, complemented
148	#19151470	C₂²	1	1	yes	characteristic, complemented
149	#19151469	C₂²	1	1	yes	characteristic
150	#19151469	C₂²	1	1	yes	characteristic
151	#19151469	C₂²	1	1	yes	characteristic
152	#19151469	C₂²	1	1	yes	characteristic
153	#19151469	C₂²	1	1	yes	characteristic, complemented
154	#19151469	C₂²	1	1	yes	characteristic, complemented
155	#19151469	C₂²	1	1	yes	characteristic, complemented
156	#19151460	C₂²	1	1	yes	characteristic
157	#19151460	C₂²	1	1	yes	characteristic
158	#19151458	C₂²	1	1	yes	characteristic, complemented
159	#19151457	C₂²	1	1	yes	characteristic
160	#19151457	C₂²	1	1	yes	characteristic, complemented
161	#19151456	C₂²	1	1	yes	characteristic, complemented
162	#19151455	C₂²	1	1	yes	characteristic
163	#19151455	C₂²	1	1	yes	characteristic, complemented
164	#19151453	C₂²	1	1	yes	characteristic
165	#19151453	C₂²	1	1	yes	characteristic
166	#19151453	C₂²	1	1	yes	characteristic
167	#19151453	C₂²	1	1	yes	characteristic
168	#19151453	C₂²	1	1	yes	characteristic
169	#19151453	C₂²	1	1	yes	characteristic
170	#19151453	C₂²	1	1	yes	characteristic
171	#19151453	C₂²	1	1	yes	characteristic
172	C₄×#13083551	C₂²	1	1	yes	characteristic
173	#19151445	C₂²	1	1	yes	characteristic
174	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	C₂×#124×C₈₉	C₂²	1	1	yes	characteristic
176	C₂×#123×C₈₉	C₂²	1	1	yes	characteristic
177	C₂×C₂²⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
178	#399×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#397×C₈₉	C₂²	1	1	yes	characteristic, complemented
180	#396×C₈₉	C₂²	1	1	yes	characteristic, complemented
181	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#394×C₈₉	C₂²	1	1	yes	characteristic
183	#393×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#389×C₈₉	C₂²	1	1	yes	characteristic, complemented
185	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
186	#388×C₈₉	C₂²	1	1	yes	characteristic, complemented
187	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
188	#385×C₈₉	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
190	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
193	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
196	C₂×D₄×D₈₉	—	2	4	no	—
197	C₂×D₄×D₈₉	—	4	2	no	—
198	C₂×D₄×D₈₉	—	4	2	no	—
199	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₈₉	—	2	4	no	—
201	C₂²×C₄×D₈₉	—	4	2	no	—
202	C₂²×C₄×D₈₉	—	4	2	no	—
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	#15668011	—	2	4	no	—
211	#15668010	—	2	4	no	—
212	#15668010	—	2	4	no	—
213	#15668004	—	2	4	no	—
214	#15668003	—	2	4	no	—
215	#15668002	—	2	4	no	—
216	#15668002	—	2	4	no	—
217	#15668001	—	4	2	no	—
218	#15667998	—	4	2	no	—
219	#15667998	—	4	2	no	—
220	#15667997	—	2	4	no	—
221	#15667997	—	2	4	no	—
222	#15667996	—	2	4	no	—
223	#15667995	—	2	4	no	—
224	#15667994	—	2	4	no	—
225	#15667994	—	2	4	no	—
226	#15667993	—	2	4	no	—
227	#15667990	—	2	4	no	—
228	#15667990	—	2	4	no	—
229	#15667990	—	4	2	no	—
230	#15667989	—	4	2	no	—
231	#15667988	—	2	4	no	—
232	#15667988	—	2	4	no	—
233	#15667988	—	4	2	no	—
234	#15667970	—	2	4	no	—
235	#15667969	—	2	4	no	—
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×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₈₉	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	C₂×#13083553	C₂³	1	1	yes	characteristic
269	C₂×#13083553	C₂³	1	1	yes	characteristic
270	C₄⋊C₄×D₈₉	—	2	4	no	—
271	C₄⋊C₄×D₈₉	D₄	1	8	yes	—
272	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₈₉	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	C₂×#13083551	C₂³	1	1	yes	characteristic
297	C₂×#13083551	C₂³	1	1	yes	characteristic
298	C₂×#13083551	C₂³	1	1	yes	characteristic
299	C₂×#13083551	C₂³	1	1	yes	characteristic
300	C₂×#13083551	C₂³	1	1	yes	characteristic
301	C₂×#13083551	C₂³	1	1	yes	characteristic
302	C₂×#13083551	C₂³	1	1	yes	characteristic
303	C₂×#13083551	C₂³	1	1	yes	characteristic
304	C₂×#13083551	C₂³	1	1	yes	characteristic
305	C₂×#13083551	C₂³	1	1	yes	characteristic
306	C₂×#13083551	C₂³	1	1	yes	characteristic
307	C₂×#13083551	C₂³	1	1	yes	characteristic
308	C₂×#13083551	C₂³	1	1	yes	characteristic
309	C₂×#13083551	C₂³	1	1	yes	characteristic
310	C₂×#13083551	C₂³	1	1	yes	characteristic
311	C₂×#13083551	C₂³	1	1	yes	characteristic
312	C₂×#13083551	C₂³	1	1	yes	characteristic
313	C₂²⋊C₄×D₈₉	—	2	4	no	—
314	C₂²⋊C₄×D₈₉	—	2	4	no	—
315	C₂²⋊C₄×D₈₉	—	2	4	no	—
316	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₈₉	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	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
348	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
350	C₄⋊Q₈×C₈₉	—	2	4	no	—
351	#124×C₈₉	—	4	2	no	—
352	#123×C₈₉	—	2	4	no	—
353	C₂²⋊Q₈×C₈₉	—	4	2	no	—
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×C₄⋊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×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
375	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
376	C₂×C₄²×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	#95×C₈₉	C₂³	1	1	yes	characteristic
384	#95×C₈₉	C₂³	1	1	yes	characteristic
385	C₂³×D₈₉	—	2	2	no	—
386	C₂³×D₈₉	—	2	2	no	—
387	C₂³×D₈₉	—	2	2	no	—
388	C₂³×D₈₉	—	2	2	no	—
389	C₂³×D₈₉	—	2	2	no	—
390	C₂³×D₈₉	—	2	2	no	—
391	C₂³×D₈₉	—	2	2	no	—
392	C₂³×D₈₉	—	2	2	no	—
393	C₂³×D₈₉	—	4	1	no	—
394	C₂³×D₈₉	—	4	1	no	—
395	C₂³×D₈₉	—	4	1	no	—
396	C₂³×D₈₉	—	4	1	no	—
397	C₂³×D₈₉	—	4	1	no	—
398	C₂³×D₈₉	—	4	1	no	—
399	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
400	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
401	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₁₇₈	—	2	2	no	—
403	C₂×Dic₁₇₈	—	2	2	no	—
404	C₂×Dic₁₇₈	—	4	1	no	—
405	C₂×Dic₁₇₈	—	4	1	no	—
406	C₂×Dic₁₇₈	—	4	1	no	—
407	C₂×Dic₁₇₈	—	4	1	no	—
408	C₂×D₃₅₆	—	2	2	no	—
409	C₂×D₃₅₆	—	2	2	no	—
410	C₂×D₃₅₆	—	4	1	no	—
411	C₂×C₂²⋊D₈₉	—	2	2	no	—
412	C₂×C₂²⋊D₈₉	—	2	2	no	—
413	C₂×C₂²⋊D₈₉	—	2	2	no	—
414	C₂×C₂²⋊D₈₉	—	2	2	no	—
415	C₂×C₂²⋊D₈₉	—	4	1	no	—
416	C₂×C₂²⋊D₈₉	—	4	1	no	—
417	D₄×D₈₉	—	4	16	no	—
418	C₂²×Dic₈₉	—	2	2	no	—
419	C₂²×Dic₈₉	—	2	2	no	—
420	C₂²×Dic₈₉	—	4	1	no	—
421	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
434	C₂×C₄×D₈₉	—	2	2	no	—
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	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	—	4	1	no	—
447	C₂×C₄×D₈₉	—	4	1	no	—
448	C₂×C₄×D₈₉	—	4	1	no	—
449	C₂×C₄×D₈₉	—	4	1	no	—
450	C₂×C₄×D₈₉	—	4	1	no	—
451	C₂×C₄×D₈₉	—	4	1	no	—
452	C₂×C₄×D₈₉	—	4	16	no	—
453	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
454	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
455	C₂×C₄×D₈₉	C₂×D₄	1	4	yes	—
456	C₄⋊Dic₈₉	—	2	2	no	—
457	C₄⋊Dic₈₉	—	2	2	no	—
458	C₄⋊Dic₈₉	—	2	2	no	—
459	C₄⋊Dic₈₉	—	2	2	no	—
460	C₄⋊Dic₈₉	—	4	1	no	—
461	C₄⋊Dic₈₉	—	4	1	no	—
462	C₄⋊Dic₈₉	—	4	1	no	—
463	C₄⋊Dic₈₉	—	4	1	no	—
464	C₄⋊Dic₈₉	—	4	1	no	—
465	C₄⋊Dic₈₉	C₂×D₄	1	4	yes	—
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	—	4	1	no	—
485	#13083553	—	4	1	no	—
486	#13083553	—	4	1	no	—
487	#13083553	—	4	1	no	—
488	#13083553	C₂×D₄	1	4	yes	—
489	#13083553	C₂×D₄	1	4	yes	—
490	C₂²⋊Dic₈₉	—	2	2	no	—
491	C₂²⋊Dic₈₉	—	2	2	no	—
492	C₂²⋊Dic₈₉	—	2	2	no	—
493	C₂²⋊Dic₈₉	—	2	2	no	—
494	C₂²⋊Dic₈₉	—	4	1	no	—
495	C₂²⋊Dic₈₉	—	4	1	no	—
496	C₂²⋊Dic₈₉	—	4	1	no	—
497	C₂²⋊Dic₈₉	—	4	1	no	—
498	C₂²⋊Dic₈₉	—	4	1	no	—
499	C₂²⋊Dic₈₉	—	4	1	no	—
500	C₂²⋊Dic₈₉	—	4	1	no	—
501	#13083551	—	2	2	no	—
502	#13083551	—	2	2	no	—
503	#13083551	—	2	2	no	—
504	#13083551	—	2	2	no	—
505	#13083551	—	2	2	no	—
506	#13083551	—	2	2	no	—
507	#13083551	—	2	2	no	—
508	#13083551	—	2	2	no	—
509	#13083551	—	2	2	no	—
510	#13083551	—	2	2	no	—
511	#13083551	—	2	2	no	—
512	#13083551	—	2	2	no	—
513	#13083551	—	2	2	no	—
514	#13083551	—	2	2	no	—
515	#13083551	—	2	2	no	—
516	#13083551	—	2	2	no	—
517	#13083551	—	2	2	no	—
518	#13083551	—	2	2	no	—
519	#13083551	—	4	1	no	—
520	#13083551	—	4	1	no	—
521	#13083551	—	4	1	no	—
522	#13083551	—	4	1	no	—
523	#13083551	—	4	1	no	—
524	#13083551	—	4	1	no	—
525	#13083551	—	4	1	no	—
526	#13083551	—	4	1	no	—
527	#13083551	—	4	1	no	—
528	#13083551	—	4	1	no	—
529	#13083551	—	4	1	no	—
530	#13083551	—	4	1	no	—
531	C₄×Dic₈₉	—	2	2	no	—
532	C₄×Dic₈₉	—	2	2	no	—
533	C₄×Dic₈₉	—	2	2	no	—
534	C₄×Dic₈₉	—	4	1	no	—
535	C₄×Dic₈₉	—	4	1	no	—
536	C₄×Dic₈₉	—	4	1	no	—
537	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
538	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₈₉	—	2	2	no	—
540	C₂×Q₈×C₈₉	—	2	2	no	—
541	C₂×Q₈×C₈₉	—	4	1	no	—
542	C₂×Q₈×C₈₉	—	4	1	no	—
543	C₂×Q₈×C₈₉	—	4	1	no	—
544	C₂×Q₈×C₈₉	—	4	1	no	—
545	C₂×D₄×C₈₉	—	2	2	no	—
546	C₂×D₄×C₈₉	—	2	2	no	—
547	C₂×D₄×C₈₉	—	4	1	no	—
548	C₂²×C₄×C₈₉	—	2	2	no	—
549	C₂²×C₄×C₈₉	—	2	2	no	—
550	C₂²×C₄×C₈₉	—	4	1	no	—
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	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄×C₈₉	—	2	2	no	—
565	C₄⋊C₄×C₈₉	—	2	2	no	—
566	C₄⋊C₄×C₈₉	—	2	2	no	—
567	C₄⋊C₄×C₈₉	—	2	2	no	—
568	C₄⋊C₄×C₈₉	—	4	1	no	—
569	C₄⋊C₄×C₈₉	—	4	1	no	—
570	C₄⋊C₄×C₈₉	—	4	1	no	—
571	C₄⋊C₄×C₈₉	—	4	1	no	—
572	C₄⋊C₄×C₈₉	—	4	1	no	—
573	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
574	C₂²⋊C₄×C₈₉	—	2	2	no	—
575	C₂²⋊C₄×C₈₉	—	2	2	no	—
576	C₂²⋊C₄×C₈₉	—	2	2	no	—
577	C₂²⋊C₄×C₈₉	—	2	2	no	—
578	C₂²⋊C₄×C₈₉	—	2	2	no	—
579	C₂²⋊C₄×C₈₉	—	2	2	no	—
580	C₂²⋊C₄×C₈₉	—	4	1	no	—
581	C₂²⋊C₄×C₈₉	—	4	1	no	—
582	C₂²⋊C₄×C₈₉	—	4	1	no	—
583	C₂²⋊C₄×C₈₉	—	4	1	no	—
584	C₂²⋊C₄×C₈₉	—	4	1	no	—
585	C₄²×C₈₉	—	2	2	no	—
586	C₄²×C₈₉	—	4	1	no	—
587	C₂³×C₈₉	—	2	1	no	—
588	C₂³×C₈₉	—	2	1	no	—
589	C₂³×C₈₉	—	2	1	no	—
590	C₂³×C₈₉	—	2	1	no	—
591	C₂³×C₈₉	—	2	1	no	—
592	C₂³×C₈₉	—	2	1	no	—
593	C₂³×C₈₉	—	2	1	no	—
594	C₂³×C₈₉	—	2	1	no	—
595	C₂³×C₈₉	—	2	1	no	—
596	C₂³×C₈₉	—	2	1	no	—
597	C₂³×C₈₉	—	2	1	no	—
598	C₂³×C₈₉	—	2	1	no	—
599	C₂³×C₈₉	—	2	1	no	—
600	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
601	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
602	C₂²×D₈₉	—	2	1	no	—
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	—	2	8	no	—
607	C₂²×D₈₉	—	2	1	no	—
608	C₂²×D₈₉	—	2	1	no	—
609	C₂²×D₈₉	—	2	1	no	—
610	C₂²×D₈₉	—	2	1	no	—
611	C₂²×D₈₉	—	2	1	no	—
612	C₂²×D₈₉	—	2	1	no	—
613	C₂²×D₈₉	—	2	1	no	—
614	C₂²×D₈₉	—	2	1	no	—
615	C₂²×D₈₉	—	2	1	no	—
616	C₂²×D₈₉	—	2	1	no	—
617	C₂²×D₈₉	—	2	1	no	—
618	C₂²×D₈₉	—	2	1	no	—
619	C₂²×D₈₉	—	2	1	no	—
620	C₂²×D₈₉	—	4	4	no	—
621	C₂²×D₈₉	—	4	4	no	—
622	C₂²×D₈₉	—	4	4	no	—
623	C₂²×D₈₉	—	4	4	no	—
624	C₂²×D₈₉	—	4	4	no	—
625	C₂²×D₈₉	—	4	4	no	—
626	C₂²×D₈₉	—	4	4	no	—
627	C₂²×D₈₉	—	4	4	no	—
628	C₂²×D₈₉	—	4	4	no	—
629	C₂²×D₈₉	—	8	2	no	—
630	C₂²×D₈₉	—	8	2	no	—
631	C₂²×D₈₉	—	8	2	no	—
632	C₂²×D₈₉	—	8	2	no	—
633	C₂²×D₈₉	C₂²×D₄	1	2	yes	—
634	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
635	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
636	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
637	Q₈×C₈₉	—	8	2	no	—
638	Q₈×C₈₉	—	8	2	no	—
639	D₄×C₈₉	—	4	4	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	2	1	no	—
662	C₂×C₄×C₈₉	—	2	1	no	—
663	C₂×C₄×C₈₉	—	2	1	no	—
664	C₂×C₄×C₈₉	—	2	1	no	—
665	C₂×C₄×C₈₉	—	2	1	no	—
666	C₂×C₄×C₈₉	—	2	1	no	—
667	C₂×C₄×C₈₉	—	2	1	no	—
668	C₂×C₄×C₈₉	—	2	1	no	—
669	C₂×C₄×C₈₉	—	2	1	no	—
670	C₂×C₄×C₈₉	—	2	1	no	—
671	C₂×C₄×C₈₉	—	2	1	no	—
672	C₂×C₄×C₈₉	—	2	1	no	—
673	C₂×C₄×C₈₉	—	2	1	no	—
674	C₂×C₄×C₈₉	—	2	1	no	—
675	C₂×C₄×C₈₉	—	2	1	no	—
676	C₂×C₄×C₈₉	—	4	4	no	—
677	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
678	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
679	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
680	C₂²⋊D₈₉	—	4	4	no	—
681	C₂²⋊D₈₉	—	4	4	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	2	1	no	—
703	C₂×Dic₈₉	—	2	1	no	—
704	C₂×Dic₈₉	—	2	1	no	—
705	C₂×Dic₈₉	—	2	1	no	—
706	C₂×Dic₈₉	—	2	1	no	—
707	C₂×Dic₈₉	—	2	1	no	—
708	C₂×Dic₈₉	—	2	1	no	—
709	C₂×Dic₈₉	—	2	1	no	—
710	C₂×Dic₈₉	—	2	1	no	—
711	C₂×Dic₈₉	—	2	1	no	—
712	C₂×Dic₈₉	—	2	1	no	—
713	C₂×Dic₈₉	—	2	1	no	—
714	C₂×Dic₈₉	—	2	1	no	—
715	C₂×Dic₈₉	—	2	1	no	—
716	C₂×Dic₈₉	—	2	1	no	—
717	C₂×Dic₈₉	—	2	1	no	—
718	C₂×Dic₈₉	—	4	4	no	—
719	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
720	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
721	C₂×Dic₈₉	C₂²×D₄	1	2	yes	—
722	D₃₅₆	—	4	4	no	—
723	C₄×D₈₉	—	2	8	no	—
724	C₄×D₈₉	—	4	4	no	—
725	C₄×D₈₉	—	4	4	no	—
726	C₄×D₈₉	—	4	4	no	—
727	C₄×D₈₉	—	4	4	no	—
728	C₄×D₈₉	—	4	4	no	—
729	C₄×D₈₉	—	4	4	no	—
730	Dic₁₇₈	—	8	2	no	—
731	Dic₁₇₈	—	8	2	no	—
732	C₂²×C₈₉	—	2	2	no	—
733	C₂²×C₈₉	—	2	2	no	—
734	C₂²×C₈₉	—	2	2	no	—
735	C₂²×C₈₉	—	4	1	no	—
736	C₂²×C₈₉	—	4	1	no	—
737	C₂²×C₈₉	—	4	1	no	—
738	C₂²×C₈₉	—	4	1	no	—
739	C₂²×C₈₉	—	4	1	no	—
740	C₂²×C₈₉	—	4	1	no	—
741	C₂²×C₈₉	—	4	1	no	—
742	C₂²×C₈₉	—	4	1	no	—
743	C₂²×C₈₉	—	4	1	no	—
744	C₂²×C₈₉	—	4	1	no	—
745	C₂²×C₈₉	—	4	1	no	—
746	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
747	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
748	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
749	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
750	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
751	C₂²×C₈₉	#585	1	1	yes	characteristic
752	C₂²×C₈₉	#585	1	1	yes	characteristic
753	C₂×D₈₉	—	2	2	no	—
754	C₂×D₈₉	—	2	2	no	—
755	C₂×D₈₉	—	2	2	no	—
756	C₂×D₈₉	—	2	2	no	—
757	C₂×D₈₉	—	2	2	no	—
758	C₂×D₈₉	—	2	2	no	—
759	C₂×D₈₉	—	2	2	no	—
760	C₂×D₈₉	—	2	2	no	—
761	C₂×D₈₉	—	2	2	no	—
762	C₂×D₈₉	—	4	16	no	—
763	C₂×D₈₉	—	4	1	no	—
764	C₂×D₈₉	—	4	1	no	—
765	C₂×D₈₉	—	4	1	no	—
766	C₂×D₈₉	—	4	1	no	—
767	C₂×D₈₉	—	4	1	no	—
768	C₂×D₈₉	—	4	1	no	—
769	C₂×D₈₉	—	4	1	no	—
770	C₂×D₈₉	—	4	1	no	—
771	C₂×D₈₉	—	4	1	no	—
772	C₂×D₈₉	—	4	1	no	—
773	C₂×D₈₉	—	4	1	no	—
774	C₂×D₈₉	—	8	8	no	—
775	C₂×D₈₉	#536	1	4	yes	—
776	C₄×C₈₉	—	2	2	no	—
777	C₄×C₈₉	—	2	2	no	—
778	C₄×C₈₉	—	2	2	no	—
779	C₄×C₈₉	—	4	1	no	—
780	C₄×C₈₉	—	4	1	no	—
781	C₄×C₈₉	—	4	1	no	—
782	C₄×C₈₉	—	4	1	no	—
783	C₄×C₈₉	—	4	1	no	—
784	C₄×C₈₉	—	4	1	no	—
785	C₄×C₈₉	—	4	1	no	—
786	C₄×C₈₉	—	4	1	no	—
787	C₄×C₈₉	—	4	1	no	—
788	C₄×C₈₉	—	4	1	no	—
789	Dic₈₉	—	2	2	no	—
790	Dic₈₉	—	2	2	no	—
791	Dic₈₉	—	2	2	no	—
792	Dic₈₉	—	4	1	no	—
793	Dic₈₉	—	4	1	no	—
794	Dic₈₉	—	4	1	no	—
795	Dic₈₉	—	4	1	no	—
796	Dic₈₉	—	4	1	no	—
797	Dic₈₉	—	4	1	no	—
798	Dic₈₉	—	4	1	no	—
799	Dic₈₉	—	4	1	no	—
800	Dic₈₉	—	4	1	no	—
801	Dic₈₉	—	4	1	no	—
802	#36711	—	89	1	no	maximal, Sylow
803	C₂×C₈₉	—	4	2	no	—
804	C₂×C₈₉	—	8	1	no	—
805	C₂×C₈₉	C₂×#536	1	1	yes	characteristic
806	C₂×C₈₉	#3484	1	1	yes	characteristic
807	C₂×C₈₉	#3487	1	1	yes	characteristic
808	C₂×C₈₉	#3535	1	1	yes	characteristic
809	C₂×C₈₉	#3535	1	1	yes	characteristic
810	C₂×C₈₉	#3535	1	1	yes	characteristic
811	C₂×C₈₉	#3535	1	1	yes	characteristic
812	D₈₉	—	2	4	no	—
813	D₈₉	—	4	2	no	—
814	D₈₉	—	8	1	no	—
815	C₂×#544	—	89	1	no	—
816	C₂²×#123	—	89	1	no	—
817	#2848	—	89	1	no	—
818	#2848	—	89	1	no	—
819	#2694	—	89	1	no	—
820	#2694	—	89	1	no	—
821	#2694	—	89	1	no	—
822	#2694	—	89	1	no	—
823	#2694	—	89	1	no	—
824	#2694	—	89	1	no	—
825	#2694	—	89	1	no	—
826	#2694	—	89	1	no	—
827	#2674	—	89	1	no	—
828	#2674	—	89	1	no	—
829	#2674	—	89	1	no	—
830	#2674	—	89	1	no	—
831	#2674	—	89	1	no	—
832	#2674	—	89	1	no	—
833	#2674	—	89	1	no	—
834	#2674	D₈₉	1	1	yes	characteristic, complemented
835	#2626	—	89	1	no	—
836	#2626	—	89	1	no	—
837	#2583	—	89	1	no	—
838	#2583	—	89	1	no	—
839	#2482	—	89	1	no	—
840	#2482	—	89	1	no	—
841	#2482	—	89	1	no	—
842	#2482	—	89	1	no	—
843	#2435	—	89	1	no	—
844	#2435	—	89	1	no	—
845	#2313	—	89	1	no	—
846	C₈₉	#36711	1	1	yes	characteristic, complemented, Sylow
847	C₂³×D₄	—	89	1	no	—
848	C₂⁴×C₄	—	89	1	no	—
849	#544	—	178	8	no	—
850	C₂×C₄⋊Q₈	—	89	1	no	—
851	C₂×C₄⋊Q₈	—	89	1	no	—
852	C₂×C₄⋊Q₈	—	89	1	no	—
853	C₂×C₄⋊Q₈	C₂×D₈₉	1	1	yes	characteristic, complemented
854	C₂×#125	—	89	1	no	—
855	C₂×#125	—	89	1	no	—
856	C₂×#125	—	89	1	no	—
857	C₂×#125	—	89	1	no	—
858	C₂×#124	—	89	1	no	—
859	C₂×#124	—	89	1	no	—
860	C₂×#124	—	89	1	no	—
861	C₂×#124	C₂×D₈₉	1	1	yes	characteristic
862	C₂×#123	—	89	1	no	—
863	C₂×#123	—	89	1	no	—
864	C₂×#123	—	89	1	no	—
865	C₂×#123	—	89	1	no	—
866	C₂×#123	—	89	1	no	—
867	C₂×#123	—	89	1	no	—
868	C₂×#123	—	89	1	no	—
869	C₂×#123	—	178	8	no	—
870	C₂×#123	C₂×D₈₉	1	1	yes	characteristic
871	C₂×C₂²⋊Q₈	—	89	1	no	—
872	C₂×C₂²⋊Q₈	—	89	1	no	—
873	C₂×C₂²⋊Q₈	—	89	1	no	—
874	C₂×C₂²⋊Q₈	—	89	1	no	—
875	C₂×C₂²⋊Q₈	—	89	1	no	—
876	C₂×C₂²⋊Q₈	—	89	1	no	—
877	C₂×C₂²⋊Q₈	—	89	1	no	—
878	C₂×C₂²⋊Q₈	C₂×D₈₉	1	1	yes	characteristic, complemented
879	C₂×#117	—	89	1	no	—
880	C₂×#117	—	89	1	no	—
881	C₂²×C₄⋊C₄	—	89	1	no	—
882	C₂²×C₄⋊C₄	—	89	1	no	—
883	C₂²×C₂²⋊C₄	—	89	1	no	—
884	C₂²×C₂²⋊C₄	—	89	1	no	—
885	C₂²×C₂²⋊C₄	—	89	1	no	—
886	#399	—	89	1	no	—
887	#399	—	89	1	no	—
888	#399	—	89	1	no	—
889	#399	—	89	1	no	—
890	#399	—	89	1	no	—
891	#399	—	89	1	no	—
892	#399	—	89	1	no	—
893	#399	—	89	1	no	—
894	#399	—	89	1	no	—
895	#399	—	89	1	no	—
896	#399	—	89	1	no	—
897	#399	C₂×D₈₉	1	1	yes	characteristic, complemented
898	#398	—	89	1	no	—
899	#398	—	89	1	no	—
900	#398	—	89	1	no	—
901	#398	—	89	1	no	—
902	#397	—	89	1	no	—
903	#397	—	89	1	no	—
904	#397	—	89	1	no	—
905	#397	—	89	1	no	—
906	#397	—	89	1	no	—
907	#397	—	89	1	no	—
908	#397	—	89	1	no	—
909	#397	C₂×D₈₉	1	1	yes	characteristic, complemented
910	#396	—	89	1	no	—
911	#396	—	89	1	no	—
912	#396	—	89	1	no	—
913	#396	—	89	1	no	—
914	#396	—	89	1	no	—
915	#396	—	89	1	no	—
916	#396	—	89	1	no	—
917	#396	C₂×D₈₉	1	1	yes	characteristic, complemented
918	#395	—	89	1	no	—
919	#395	—	89	1	no	—
920	#395	—	89	1	no	—
921	#395	C₂×D₈₉	1	1	yes	characteristic, complemented
922	#394	—	89	1	no	—
923	#394	—	89	1	no	—
924	#394	—	89	1	no	—
925	#394	—	89	1	no	—
926	#394	—	89	1	no	—
927	#394	—	89	1	no	—
928	#394	—	89	1	no	—
929	#394	C₂×D₈₉	1	1	yes	characteristic
930	#393	—	89	1	no	—
931	#393	—	89	1	no	—
932	#393	—	89	1	no	—
933	#393	C₂×D₈₉	1	1	yes	characteristic, complemented
934	#390	—	89	1	no	—
935	#390	—	89	1	no	—
936	#390	—	89	1	no	—
937	#390	—	89	1	no	—
938	#389	—	89	1	no	—
939	#389	—	89	1	no	—
940	#389	—	89	1	no	—
941	#389	—	89	1	no	—
942	#389	—	89	1	no	—
943	#389	—	89	1	no	—
944	#389	—	89	1	no	—
945	#389	C₂×D₈₉	1	1	yes	characteristic, complemented
946	#388	—	89	1	no	—
947	#388	—	89	1	no	—
948	#388	—	89	1	no	—
949	#388	—	89	1	no	—
950	#388	—	89	1	no	—
951	#388	—	89	1	no	—
952	#388	—	89	1	no	—
953	#388	—	89	1	no	—
954	#388	—	89	1	no	—
955	#388	—	89	1	no	—
956	#388	—	89	1	no	—
957	#388	—	89	1	no	—
958	#388	—	89	1	no	—
959	#388	—	89	1	no	—
960	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
961	#388	C₂×D₈₉	1	1	yes	characteristic, complemented
962	#387	—	89	1	no	—
963	#387	—	89	1	no	—
964	#387	—	89	1	no	—
965	#387	—	89	1	no	—
966	#387	—	89	1	no	—
967	#387	—	89	1	no	—
968	#387	—	89	1	no	—
969	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
970	#385	—	89	1	no	—
971	#385	—	89	1	no	—
972	#385	—	89	1	no	—
973	#385	—	89	1	no	—
974	#385	—	89	1	no	—
975	#385	—	89	1	no	—
976	#385	—	89	1	no	—
977	#385	—	89	1	no	—
978	#385	—	89	1	no	—
979	#385	—	89	1	no	—
980	#385	—	89	1	no	—
981	#385	—	89	1	no	—
982	#385	—	89	1	no	—
983	#385	—	89	1	no	—
984	#385	—	89	1	no	—
985	#385	C₂×D₈₉	1	1	yes	characteristic, complemented
986	#381	—	89	1	no	—
987	#381	—	89	1	no	—
988	#380	—	89	1	no	—
989	#380	—	89	1	no	—
990	#380	—	89	1	no	—
991	#380	—	89	1	no	—
992	#380	—	89	1	no	—
993	#380	—	89	1	no	—
994	#379	—	89	1	no	—
995	#379	—	89	1	no	—
996	#379	—	89	1	no	—
997	#379	—	89	1	no	—
998	#379	—	89	1	no	—
999	#379	—	89	1	no	—
1000	#379	—	89	1	no	—
1001	#379	—	89	1	no	—
1002	C₄×C₂²⋊C₄	—	89	1	no	—
1003	C₄×C₂²⋊C₄	—	89	1	no	—
1004	C₂⁵	—	89	1	no	—
1005	C₂⁵	—	89	1	no	—
1006	C₂²×Q₈	—	89	1	no	—
1007	C₂²×Q₈	—	89	1	no	—
1008	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
1009	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
1010	C₂²×D₄	—	89	1	no	—
1011	C₂²×D₄	—	89	1	no	—
1012	C₂²×D₄	—	89	1	no	—
1013	C₂²×D₄	—	356	2	no	—
1014	C₂²×D₄	—	356	2	no	—
1015	C₂²×D₄	—	178	4	no	—
1016	C₂²×D₄	C₂²×D₈₉	1	1	yes	characteristic
1017	C₂³×C₄	—	89	1	no	—
1018	C₂³×C₄	—	89	1	no	—
1019	C₂³×C₄	—	89	1	no	—
1020	C₂³×C₄	—	89	1	no	—
1021	C₂³×C₄	—	89	1	no	—
1022	C₂³×C₄	—	89	1	no	—
1023	C₂³×C₄	—	89	1	no	—
1024	C₂³×C₄	—	89	1	no	—
1025	C₂³×C₄	—	356	2	no	—
1026	C₂³×C₄	—	356	2	no	—
1027	C₂³×C₄	—	178	4	no	—
1028	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1029	C₄⋊Q₈	—	2	4	no	—
1030	C₄⋊Q₈	—	178	4	no	—
1031	C₄⋊Q₈	—	178	4	no	—
1032	C₄⋊Q₈	—	178	4	no	—
1033	#125	—	178	4	no	—
1034	#125	—	178	4	no	—
1035	#125	—	178	4	no	—
1036	#125	—	178	4	no	—
1037	#124	—	4	2	no	—
1038	#124	—	356	2	no	—
1039	#124	—	356	2	no	—
1040	#124	—	356	2	no	—
1041	#123	—	2	4	no	—
1042	#123	—	178	4	no	—
1043	#123	—	178	4	no	—
1044	#123	—	178	4	no	—
1045	#123	—	178	4	no	—
1046	#123	—	178	4	no	—
1047	#123	—	178	4	no	—
1048	#123	—	178	4	no	—
1049	C₂²⋊Q₈	—	4	2	no	—
1050	C₂²⋊Q₈	—	356	2	no	—
1051	C₂²⋊Q₈	—	356	2	no	—
1052	C₂²⋊Q₈	—	356	2	no	—
1053	C₂²⋊Q₈	—	178	4	no	—
1054	C₂²⋊Q₈	—	178	4	no	—
1055	C₂²⋊Q₈	—	178	4	no	—
1056	C₂²⋊Q₈	—	178	4	no	—
1057	#117	—	178	4	no	—
1058	#117	—	178	4	no	—
1059	C₂×C₄⋊C₄	—	89	1	no	—
1060	C₂×C₄⋊C₄	—	89	1	no	—
1061	C₂×C₄⋊C₄	—	89	1	no	—
1062	C₂×C₄⋊C₄	—	89	8	no	—
1063	C₂×C₄⋊C₄	—	89	1	no	—
1064	C₂×C₄⋊C₄	—	89	1	no	—
1065	C₂×C₄⋊C₄	—	89	1	no	—
1066	C₂×C₄⋊C₄	—	89	1	no	—
1067	C₂×C₄⋊C₄	—	89	1	no	—
1068	C₂×C₄⋊C₄	—	89	1	no	—
1069	C₂×C₄⋊C₄	—	89	1	no	—
1070	C₂×C₄⋊C₄	—	89	1	no	—
1071	C₂×C₄⋊C₄	—	89	1	no	—
1072	C₂×C₄⋊C₄	—	89	1	no	—
1073	C₂×C₄⋊C₄	—	89	1	no	—
1074	C₂×C₄⋊C₄	—	89	1	no	—
1075	C₂×C₄⋊C₄	—	89	1	no	—
1076	C₂×C₄⋊C₄	—	89	1	no	—
1077	C₂×C₄⋊C₄	—	89	1	no	—
1078	C₂×C₄⋊C₄	—	89	1	no	—
1079	C₂×C₄⋊C₄	—	89	1	no	—
1080	C₂×C₄⋊C₄	—	89	1	no	—
1081	C₂×C₄⋊C₄	—	89	1	no	—
1082	C₂×C₄⋊C₄	—	89	1	no	—
1083	C₂×C₄⋊C₄	—	89	1	no	—
1084	C₂×C₄⋊C₄	—	89	1	no	—
1085	C₂×C₄⋊C₄	—	89	1	no	—
1086	C₂×C₄⋊C₄	—	89	1	no	—
1087	C₂×C₄⋊C₄	—	89	1	no	—
1088	C₂×C₄⋊C₄	—	89	1	no	—
1089	C₂×C₄⋊C₄	—	89	1	no	—
1090	C₂×C₄⋊C₄	—	89	1	no	—
1091	C₂×C₄⋊C₄	—	89	1	no	—
1092	C₂×C₄⋊C₄	—	89	1	no	—
1093	C₂×C₄⋊C₄	—	89	1	no	—
1094	C₂×C₄⋊C₄	—	178	4	no	—
1095	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	89	1	no	—
1107	C₂×C₂²⋊C₄	—	89	1	no	—
1108	C₂×C₂²⋊C₄	—	89	1	no	—
1109	C₂×C₂²⋊C₄	—	89	1	no	—
1110	C₂×C₂²⋊C₄	—	89	1	no	—
1111	C₂×C₂²⋊C₄	—	89	1	no	—
1112	C₂×C₂²⋊C₄	—	89	1	no	—
1113	C₂×C₂²⋊C₄	—	89	1	no	—
1114	C₂×C₂²⋊C₄	—	89	1	no	—
1115	C₂×C₂²⋊C₄	—	89	1	no	—
1116	C₂×C₂²⋊C₄	—	89	1	no	—
1117	C₂×C₂²⋊C₄	—	89	1	no	—
1118	C₂×C₂²⋊C₄	—	89	1	no	—
1119	C₂×C₂²⋊C₄	—	89	1	no	—
1120	C₂×C₂²⋊C₄	—	89	1	no	—
1121	C₂×C₂²⋊C₄	—	89	1	no	—
1122	C₂×C₂²⋊C₄	—	89	1	no	—
1123	C₂×C₂²⋊C₄	—	89	1	no	—
1124	C₂×C₂²⋊C₄	—	89	1	no	—
1125	C₂×C₂²⋊C₄	—	89	1	no	—
1126	C₂×C₂²⋊C₄	—	89	1	no	—
1127	C₂×C₂²⋊C₄	—	89	1	no	—
1128	C₂×C₂²⋊C₄	—	89	1	no	—
1129	C₂×C₂²⋊C₄	—	89	1	no	—
1130	C₂×C₂²⋊C₄	—	89	1	no	—
1131	C₂×C₂²⋊C₄	—	89	1	no	—
1132	C₂×C₂²⋊C₄	—	89	1	no	—
1133	C₂×C₂²⋊C₄	—	89	1	no	—
1134	C₂×C₂²⋊C₄	—	89	1	no	—
1135	C₂×C₂²⋊C₄	—	89	1	no	—
1136	C₂×C₂²⋊C₄	—	89	1	no	—
1137	C₂×C₂²⋊C₄	—	89	1	no	—
1138	C₂×C₂²⋊C₄	—	89	1	no	—
1139	C₂×C₂²⋊C₄	—	89	1	no	—
1140	C₂×C₂²⋊C₄	—	89	1	no	—
1141	C₂×C₂²⋊C₄	—	89	1	no	—
1142	C₂×C₂²⋊C₄	—	89	1	no	—
1143	C₂×C₂²⋊C₄	—	89	1	no	—
1144	C₂×C₂²⋊C₄	—	89	1	no	—
1145	C₂×C₂²⋊C₄	—	89	1	no	—
1146	C₂×C₂²⋊C₄	—	178	4	no	—
1147	C₂×C₂²⋊C₄	—	178	4	no	—
1148	C₂×C₂²⋊C₄	—	178	4	no	—
1149	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1160	C₂×C₄²	—	89	1	no	—
1161	C₂×C₄²	—	89	1	no	—
1162	C₂×C₄²	—	89	1	no	—
1163	C₂×C₄²	—	89	1	no	—
1164	C₂×C₄²	—	89	1	no	—
1165	C₂×C₄²	—	89	1	no	—
1166	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1167	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1168	#95	—	89	1	no	—
1169	#95	—	89	1	no	—
1170	#95	—	89	1	no	—
1171	#95	—	89	1	no	—
1172	#95	—	89	1	no	—
1173	#95	—	89	1	no	—
1174	#95	—	89	1	no	—
1175	#95	—	89	1	no	—
1176	#95	—	89	1	no	—
1177	#95	—	89	1	no	—
1178	#95	—	89	1	no	—
1179	#95	—	89	1	no	—
1180	#95	—	89	1	no	—
1181	#95	—	89	1	no	—
1182	#95	—	89	1	no	—
1183	#95	—	89	1	no	—
1184	#95	—	89	1	no	—
1185	#95	—	89	1	no	—
1186	#95	—	89	1	no	—
1187	#95	—	89	1	no	—
1188	#95	—	89	1	no	—
1189	#95	—	89	1	no	—
1190	#95	—	89	1	no	—
1191	#95	—	89	1	no	—
1192	#95	C₂²×D₈₉	1	1	yes	characteristic
1193	#95	C₂²×D₈₉	1	1	yes	characteristic
1194	#95	C₂²×D₈₉	1	1	yes	characteristic
1195	#95	C₂²×D₈₉	1	1	yes	characteristic
1196	#95	C₂²×D₈₉	1	1	yes	characteristic
1197	#95	C₂²×D₈₉	1	1	yes	characteristic
1198	#95	C₂²×D₈₉	1	1	yes	characteristic
1199	#95	C₂²×D₈₉	1	1	yes	characteristic
1200	C₂⁴	—	89	1	no	—
1201	C₂⁴	—	89	1	no	—
1202	C₂⁴	—	89	1	no	—
1203	C₂⁴	—	356	1	no	—
1204	C₂⁴	—	356	1	no	—
1205	C₂⁴	—	356	1	no	—
1206	C₂⁴	—	356	1	no	—
1207	C₂⁴	—	356	1	no	—
1208	C₂⁴	—	356	1	no	—
1209	C₂⁴	—	178	2	no	—
1210	C₂⁴	—	178	2	no	—
1211	C₂⁴	—	178	2	no	—
1212	C₂⁴	—	178	2	no	—
1213	C₂⁴	—	178	2	no	—
1214	C₂⁴	—	178	2	no	—
1215	C₂⁴	—	178	2	no	—
1216	C₂⁴	—	178	2	no	—
1217	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1218	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1219	C₂×Q₈	—	2	2	no	—
1220	C₂×Q₈	—	2	2	no	—
1221	C₂×Q₈	—	4	1	no	—
1222	C₂×Q₈	—	4	1	no	—
1223	C₂×Q₈	—	4	1	no	—
1224	C₂×Q₈	—	4	1	no	—
1225	C₂×Q₈	—	356	1	no	—
1226	C₂×Q₈	—	356	1	no	—
1227	C₂×Q₈	—	356	1	no	—
1228	C₂×Q₈	—	356	1	no	—
1229	C₂×Q₈	—	178	2	no	—
1230	C₂×Q₈	—	178	2	no	—
1231	C₂×D₄	—	2	2	no	—
1232	C₂×D₄	—	2	2	no	—
1233	C₂×D₄	—	4	1	no	—
1234	C₂×D₄	—	356	1	no	—
1235	C₂×D₄	—	356	16	no	—
1236	C₂×D₄	—	356	1	no	—
1237	C₂×D₄	—	356	1	no	—
1238	C₂×D₄	—	178	2	no	—
1239	C₂×D₄	—	178	2	no	—
1240	C₂×D₄	—	178	2	no	—
1241	C₂×D₄	—	178	2	no	—
1242	C₂×D₄	—	178	2	no	—
1243	C₂×D₄	—	178	2	no	—
1244	C₂²×C₄	—	2	2	no	—
1245	C₂²×C₄	—	2	2	no	—
1246	C₂²×C₄	—	4	1	no	—
1247	C₂²×C₄	—	89	1	no	—
1248	C₂²×C₄	—	89	1	no	—
1249	C₂²×C₄	—	89	1	no	—
1250	C₂²×C₄	—	89	4	no	—
1251	C₂²×C₄	—	89	4	no	—
1252	C₂²×C₄	—	89	4	no	—
1253	C₂²×C₄	—	89	1	no	—
1254	C₂²×C₄	—	89	1	no	—
1255	C₂²×C₄	—	89	1	no	—
1256	C₂²×C₄	—	89	1	no	—
1257	C₂²×C₄	—	89	1	no	—
1258	C₂²×C₄	—	89	1	no	—
1259	C₂²×C₄	—	89	1	no	—
1260	C₂²×C₄	—	89	1	no	—
1261	C₂²×C₄	—	89	1	no	—
1262	C₂²×C₄	—	89	1	no	—
1263	C₂²×C₄	—	356	1	no	—
1264	C₂²×C₄	—	356	1	no	—
1265	C₂²×C₄	—	356	1	no	—
1266	C₂²×C₄	—	356	1	no	—
1267	C₂²×C₄	—	356	1	no	—
1268	C₂²×C₄	—	356	1	no	—
1269	C₂²×C₄	—	356	1	no	—
1270	C₂²×C₄	—	356	1	no	—
1271	C₂²×C₄	—	356	1	no	—
1272	C₂²×C₄	—	356	1	no	—
1273	C₂²×C₄	—	356	16	no	—
1274	C₂²×C₄	—	356	1	no	—
1275	C₂²×C₄	—	178	2	no	—
1276	C₂²×C₄	—	178	2	no	—
1277	C₂²×C₄	—	178	2	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	—	178	2	no	—
1280	C₂²×C₄	—	178	2	no	—
1281	C₂²×C₄	—	178	2	no	—
1282	C₂²×C₄	—	178	2	no	—
1283	C₂²×C₄	—	178	2	no	—
1284	C₂²×C₄	—	178	2	no	—
1285	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1296	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1297	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	2	no	—
1300	C₄⋊C₄	—	2	2	no	—
1301	C₄⋊C₄	—	2	2	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	89	4	no	—
1308	C₄⋊C₄	—	89	4	no	—
1309	C₄⋊C₄	—	89	4	no	—
1310	C₄⋊C₄	—	356	1	no	—
1311	C₄⋊C₄	—	356	1	no	—
1312	C₄⋊C₄	—	356	1	no	—
1313	C₄⋊C₄	—	356	1	no	—
1314	C₄⋊C₄	—	356	1	no	—
1315	C₄⋊C₄	—	356	1	no	—
1316	C₄⋊C₄	—	356	1	no	—
1317	C₄⋊C₄	—	356	1	no	—
1318	C₄⋊C₄	—	356	1	no	—
1319	C₄⋊C₄	—	356	1	no	—
1320	C₄⋊C₄	—	356	1	no	—
1321	C₄⋊C₄	—	356	1	no	—
1322	C₄⋊C₄	—	356	1	no	—
1323	C₄⋊C₄	—	356	1	no	—
1324	C₄⋊C₄	—	356	1	no	—
1325	C₄⋊C₄	—	178	2	no	—
1326	C₄⋊C₄	—	178	2	no	—
1327	C₄⋊C₄	—	178	2	no	—
1328	C₄⋊C₄	—	178	2	no	—
1329	C₄⋊C₄	—	178	2	no	—
1330	C₄⋊C₄	—	178	2	no	—
1331	C₄⋊C₄	—	178	2	no	—
1332	C₄⋊C₄	—	178	2	no	—
1333	C₄⋊C₄	—	178	2	no	—
1334	C₄⋊C₄	—	178	2	no	—
1335	C₄⋊C₄	—	178	2	no	—
1336	C₄⋊C₄	—	178	2	no	—
1337	C₄⋊C₄	—	178	2	no	—
1338	C₄⋊C₄	—	178	2	no	—
1339	C₄⋊C₄	—	178	2	no	—
1340	C₄⋊C₄	—	178	2	no	—
1341	C₄⋊C₄	D₄×D₈₉	1	4	yes	—
1342	C₂²⋊C₄	—	2	2	no	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	2	2	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	356	1	no	—
1354	C₂²⋊C₄	—	356	1	no	—
1355	C₂²⋊C₄	—	356	1	no	—
1356	C₂²⋊C₄	—	356	1	no	—
1357	C₂²⋊C₄	—	356	1	no	—
1358	C₂²⋊C₄	—	356	1	no	—
1359	C₂²⋊C₄	—	356	1	no	—
1360	C₂²⋊C₄	—	356	1	no	—
1361	C₂²⋊C₄	—	356	1	no	—
1362	C₂²⋊C₄	—	356	1	no	—
1363	C₂²⋊C₄	—	356	1	no	—
1364	C₂²⋊C₄	—	356	1	no	—
1365	C₂²⋊C₄	—	356	1	no	—
1366	C₂²⋊C₄	—	356	1	no	—
1367	C₂²⋊C₄	—	356	1	no	—
1368	C₂²⋊C₄	—	356	1	no	—
1369	C₂²⋊C₄	—	356	1	no	—
1370	C₂²⋊C₄	—	356	1	no	—
1371	C₂²⋊C₄	—	356	1	no	—
1372	C₂²⋊C₄	—	178	2	no	—
1373	C₂²⋊C₄	—	178	2	no	—
1374	C₂²⋊C₄	—	178	2	no	—
1375	C₂²⋊C₄	—	178	2	no	—
1376	C₂²⋊C₄	—	178	2	no	—
1377	C₂²⋊C₄	—	178	2	no	—
1378	C₂²⋊C₄	—	178	2	no	—
1379	C₂²⋊C₄	—	178	2	no	—
1380	C₂²⋊C₄	—	178	2	no	—
1381	C₂²⋊C₄	—	178	2	no	—
1382	C₂²⋊C₄	—	178	2	no	—
1383	C₂²⋊C₄	—	178	2	no	—
1384	C₂²⋊C₄	—	178	2	no	—
1385	C₂²⋊C₄	—	178	2	no	—
1386	C₂²⋊C₄	—	178	2	no	—
1387	C₂²⋊C₄	—	178	2	no	—
1388	C₂²⋊C₄	—	178	2	no	—
1389	C₂²⋊C₄	—	178	2	no	—
1390	C₂²⋊C₄	—	178	2	no	—
1391	C₂²⋊C₄	—	178	2	no	—
1392	C₂²⋊C₄	—	178	2	no	—
1393	C₂²⋊C₄	—	178	2	no	—
1394	C₄²	—	2	2	no	—
1395	C₄²	—	4	1	no	—
1396	C₄²	—	356	1	no	—
1397	C₄²	—	356	1	no	—
1398	C₄²	—	356	1	no	—
1399	C₄²	—	178	2	no	—
1400	C₄²	—	178	2	no	—
1401	C₄²	—	178	2	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	89	2	no	—
1416	C₂³	—	89	2	no	—
1417	C₂³	—	89	2	no	—
1418	C₂³	—	89	2	no	—
1419	C₂³	—	356	4	no	—
1420	C₂³	—	356	4	no	—
1421	C₂³	—	356	4	no	—
1422	C₂³	—	356	4	no	—
1423	C₂³	—	356	4	no	—
1424	C₂³	—	356	4	no	—
1425	C₂³	—	356	4	no	—
1426	C₂³	—	356	4	no	—
1427	C₂³	—	356	4	no	—
1428	C₂³	—	178	8	no	—
1429	C₂³	—	178	1	no	—
1430	C₂³	—	178	1	no	—
1431	C₂³	—	178	1	no	—
1432	C₂³	—	178	1	no	—
1433	C₂³	—	178	1	no	—
1434	C₂³	—	178	1	no	—
1435	C₂³	—	178	1	no	—
1436	C₂³	—	178	1	no	—
1437	C₂³	—	178	1	no	—
1438	C₂³	—	178	1	no	—
1439	C₂³	—	178	1	no	—
1440	C₂³	—	178	1	no	—
1441	C₂³	—	178	1	no	—
1442	C₂³	—	178	1	no	—
1443	C₂³	—	178	1	no	—
1444	C₂³	—	178	1	no	—
1445	C₂³	—	178	1	no	—
1446	C₂³	—	712	2	no	—
1447	C₂³	—	712	2	no	—
1448	C₂³	—	712	2	no	—
1449	C₂³	—	712	2	no	—
1450	C₂³	#15668057	1	2	yes	—
1451	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1452	Q₈	—	8	2	no	—
1453	Q₈	—	8	2	no	—
1454	Q₈	—	712	2	no	—
1455	Q₈	—	712	2	no	—
1456	D₄	—	4	4	no	—
1457	D₄	—	356	4	no	—
1458	D₄	—	356	4	no	—
1459	D₄	—	356	4	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	4	4	no	—
1497	C₂×C₄	—	89	2	no	—
1498	C₂×C₄	—	89	2	no	—
1499	C₂×C₄	—	89	2	no	—
1500	C₂×C₄	—	356	4	no	—
1501	C₂×C₄	—	356	4	no	—
1502	C₂×C₄	—	356	4	no	—
1503	C₂×C₄	—	356	4	no	—
1504	C₂×C₄	—	356	4	no	—
1505	C₂×C₄	—	356	4	no	—
1506	C₂×C₄	—	356	4	no	—
1507	C₂×C₄	—	178	8	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	—	178	1	no	—
1516	C₂×C₄	—	178	1	no	—
1517	C₂×C₄	—	178	1	no	—
1518	C₂×C₄	—	178	1	no	—
1519	C₂×C₄	—	178	1	no	—
1520	C₂×C₄	—	178	1	no	—
1521	C₂×C₄	—	178	1	no	—
1522	C₂×C₄	—	178	1	no	—
1523	C₂×C₄	—	178	1	no	—
1524	C₂×C₄	—	178	1	no	—
1525	C₂×C₄	—	178	1	no	—
1526	C₂×C₄	—	178	1	no	—
1527	C₂×C₄	—	178	1	no	—
1528	C₂×C₄	—	178	1	no	—
1529	C₂×C₄	—	178	1	no	—
1530	C₂×C₄	—	178	1	no	—
1531	C₂×C₄	—	178	1	no	—
1532	C₂×C₄	—	178	1	no	—
1533	C₂×C₄	—	178	1	no	—
1534	C₂×C₄	—	178	1	no	—
1535	C₂×C₄	—	178	1	no	—
1536	C₂×C₄	—	178	1	no	—
1537	C₂×C₄	—	178	1	no	—
1538	C₂×C₄	—	178	1	no	—
1539	C₂×C₄	—	178	1	no	—
1540	C₂×C₄	—	178	1	no	—
1541	C₂×C₄	—	178	1	no	—
1542	C₂×C₄	—	178	1	no	—
1543	C₂×C₄	—	178	1	no	—
1544	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1545	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1546	C₂×C₄	C₂×D₄×D₈₉	1	2	yes	—
1547	C₂²	—	2	2	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	89	4	no	—
1562	C₂²	—	356	16	no	—
1563	C₂²	—	356	1	no	—
1564	C₂²	—	356	1	no	—
1565	C₂²	—	356	1	no	—
1566	C₂²	—	356	1	no	—
1567	C₂²	—	356	1	no	—
1568	C₂²	—	356	1	no	—
1569	C₂²	—	356	1	no	—
1570	C₂²	—	356	1	no	—
1571	C₂²	—	356	1	no	—
1572	C₂²	—	356	1	no	—
1573	C₂²	—	356	1	no	—
1574	C₂²	—	178	2	no	—
1575	C₂²	—	178	2	no	—
1576	C₂²	—	178	2	no	—
1577	C₂²	—	178	2	no	—
1578	C₂²	—	178	2	no	—
1579	C₂²	—	178	2	no	—
1580	C₂²	—	178	2	no	—
1581	C₂²	—	178	2	no	—
1582	C₂²	—	178	2	no	—
1583	C₂²	—	712	8	no	—
1584	C₂²	C₂²×D₄×D₈₉	1	1	yes	characteristic
1585	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1586	C₂²	C₂×#15668057	1	1	yes	characteristic
1587	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1588	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1589	C₂²	#19152434	1	1	yes	characteristic
1590	C₂²	#19152435	1	1	yes	characteristic
1591	C₄	—	2	2	no	—
1592	C₄	—	2	2	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	356	1	no	—
1605	C₄	—	356	1	no	—
1606	C₄	—	356	1	no	—
1607	C₄	—	356	1	no	—
1608	C₄	—	356	1	no	—
1609	C₄	—	356	1	no	—
1610	C₄	—	356	1	no	—
1611	C₄	—	356	1	no	—
1612	C₄	—	356	1	no	—
1613	C₄	—	356	1	no	—
1614	C₄	—	178	2	no	—
1615	C₄	—	178	2	no	—
1616	C₄	—	178	2	no	—
1617	C₂	—	4	2	no	—
1618	C₂	—	8	1	no	—
1619	C₂	—	356	2	no	—
1620	C₂	—	178	4	no	—
1621	C₂	—	712	1	no	—
1622	C₂	#536×D₈₉	1	1	yes	characteristic
1623	C₂	#26033880	1	1	yes	characteristic
1624	C₂	#26033909	1	1	yes	characteristic
1625	C₂	#26034451	1	1	yes	characteristic
1626	C₂	#26034453	1	1	yes	characteristic
1627	C₂	#26034454	1	1	yes	characteristic
1628	C₂	#26034463	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2674	C₂
prime radical	C₂²×D₄×D₈₉	C₂²
hypercenter	#2674	D₈₉
hypocenter	C₈₉	#36711
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2674

Complements

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

N	H ≅ G/N	type
1. C₂×#19152225	C₂	semidirect
3. #26028538	C₂	semidirect
4. #26028536	C₂	semidirect
5. #26026778	C₂	semidirect
6. #26026776	C₂	semidirect
7. #26026775	C₂	semidirect
8. #26026773	C₂	semidirect
9. #26026771	C₂	semidirect
10. #26026770	C₂	semidirect
11. #26026769	C₂	semidirect
12. #26026768	C₂	semidirect
13. #26026539	C₂	semidirect
14. #26026538	C₂	semidirect
15. #26026532	C₂	semidirect
16. #26026529	C₂	semidirect
17. #26026528	C₂	semidirect
18. #26026527	C₂	semidirect
19. #26026526	C₂	semidirect
20. #26026062	C₂	semidirect
21. #26026056	C₂	semidirect
22. #26025630	C₂	semidirect
23. #26025628	C₂	semidirect
24. #26024527	C₂	semidirect
25. #26024524	C₂	semidirect
26. #26024524	C₂	semidirect
27. #26024521	C₂	semidirect
30. #26022851	C₂	semidirect
31. C₈₉×#2674	C₂	semidirect
35. C₂×#15668011	C₂²	semidirect
36. C₂×#15668010	C₂²	semidirect
37. C₂×#15668010	C₂²	semidirect
38. C₂×#15668004	C₂²	semidirect
39. C₂×#15668003	C₂²	semidirect
40. C₂×#15668002	C₂²	semidirect
41. C₂×#15668002	C₂²	semidirect
55. C₂×#15667990	C₂²	semidirect
56. C₂×#15667989	C₂²	semidirect
59. C₂×#15667988	C₂²	semidirect
67. #19151535	C₂²	semidirect
68. #19151535	C₂²	semidirect
69. #19151534	C₂²	semidirect
70. #19151534	C₂²	semidirect
71. #19151534	C₂²	semidirect
72. #19151534	C₂²	semidirect
73. #19151534	C₂²	semidirect
74. #19151533	C₂²	semidirect
75. #19151533	C₂²	semidirect
76. #19151533	C₂²	semidirect
77. #19151533	C₂²	semidirect
78. #19151532	C₂²	semidirect
79. #19151531	C₂²	semidirect
80. #19151530	C₂²	semidirect
81. #19151528	C₂²	semidirect
82. #19151527	C₂²	semidirect
83. #19151527	C₂²	semidirect
84. #19151526	C₂²	semidirect
85. #19151526	C₂²	semidirect
86. #19151525	C₂²	semidirect
87. #19151524	C₂²	semidirect
88. #19151523	C₂²	semidirect
89. #19151522	C₂²	semidirect
90. #19151522	C₂²	semidirect
91. #19151521	C₂²	semidirect
92. #19151521	C₂²	semidirect
93. #19151521	C₂²	semidirect
94. #19151520	C₂²	semidirect
95. #19151520	C₂²	semidirect
96. #19151519	C₂²	semidirect
97. #19151518	C₂²	semidirect
98. #19151517	C₂²	semidirect
106. #19151511	C₂²	semidirect
107. #19151510	C₂²	semidirect
108. #19151509	C₂²	semidirect
113. #19151496	C₂²	semidirect
114. #19151495	C₂²	semidirect
115. #19151495	C₂²	semidirect
116. #19151494	C₂²	semidirect
117. #19151494	C₂²	semidirect
118. #19151493	C₂²	semidirect
119. #19151493	C₂²	semidirect
120. #19151492	C₂²	semidirect
121. #19151492	C₂²	semidirect
122. #19151491	C₂²	semidirect
123. #19151491	C₂²	semidirect
124. #19151490	C₂²	semidirect
125. #19151490	C₂²	semidirect
126. #19151489	C₂²	semidirect
127. #19151489	C₂²	semidirect
128. #19151488	C₂²	semidirect
129. #19151488	C₂²	semidirect
130. #19151487	C₂²	semidirect
131. #19151487	C₂²	semidirect
132. #19151486	C₂²	semidirect
133. #19151486	C₂²	semidirect
134. #19151485	C₂²	semidirect
135. #19151484	C₂²	semidirect
136. #19151483	C₂²	semidirect
137. #19151482	C₂²	semidirect
138. #19151481	C₂²	semidirect
139. #19151480	C₂²	semidirect
140. #19151479	C₂²	semidirect
145. #19151472	C₂²	semidirect
146. #19151471	C₂²	semidirect
147. #19151470	C₂²	semidirect
148. #19151470	C₂²	semidirect
153. #19151469	C₂²	semidirect
154. #19151469	C₂²	semidirect
155. #19151469	C₂²	semidirect
158. #19151458	C₂²	semidirect
160. #19151457	C₂²	semidirect
161. #19151456	C₂²	semidirect
163. #19151455	C₂²	semidirect
174. C₂×C₄⋊Q₈×C₈₉	C₂²	semidirect
177. C₂×C₂²⋊Q₈×C₈₉	C₂²	semidirect
178. #399×C₈₉	C₂²	semidirect
179. #397×C₈₉	C₂²	semidirect
180. #396×C₈₉	C₂²	semidirect
181. #395×C₈₉	C₂²	semidirect
183. #393×C₈₉	C₂²	semidirect
184. #389×C₈₉	C₂²	semidirect
185. #388×C₈₉	C₂²	semidirect
186. #388×C₈₉	C₂²	semidirect
187. #387×C₈₉	C₂²	semidirect
188. #385×C₈₉	C₂²	semidirect
834. #2674	D₈₉	semidirect
846. C₈₉	#36711	semidirect
853. C₂×C₄⋊Q₈	C₂×D₈₉	semidirect
878. C₂×C₂²⋊Q₈	C₂×D₈₉	semidirect
897. #399	C₂×D₈₉	semidirect
909. #397	C₂×D₈₉	semidirect
917. #396	C₂×D₈₉	semidirect
921. #395	C₂×D₈₉	semidirect
933. #393	C₂×D₈₉	semidirect
945. #389	C₂×D₈₉	semidirect
960. #388	C₂×D₈₉	semidirect
961. #388	C₂×D₈₉	semidirect
969. #387	C₂×D₈₉	semidirect
985. #385	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×#19152225	2
C₂×#123×D₈₉	2
#26028538	2
#26028536	2
#26026778	2
#26026776	2
#26026775	2
#26026773	2
#26026771	2
#26026770	2
#26026769	2
#26026768	2
#26026539	2
#26026538	2
#26026532	2
#26026529	2
#26026528	2
#26026527	2
#26026526	2
#26026062	2
#26026056	2
#26025630	2
#26025628	2
#26024527	2
#26024524	2
#26024521	2
#26023900	2
#26023898	2
#26022851	2
C₈₉×#2674	2
#36711	89