Finite Group Databasebeta

← #12306954

Subgroups — #12306954

Order 1280.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2442C211yesmaximal, characteristic, complemented
2#10614800C211yesmaximal, characteristic, complemented
3#10614782C211yesmaximal, characteristic, complemented
4#10613903C211yesmaximal, characteristic, complemented
5C2×#65279C211yesmaximal, characteristic
6#10610044C211yesmaximal, characteristic, complemented
7#10610026C211yesmaximal, characteristic, complemented
8#10609995C211yesmaximal, characteristic, complemented
9#10609979C211yesmaximal, characteristic, complemented
10#10609716C211yesmaximal, characteristic, complemented
11#10609711C211yesmaximal, characteristic, complemented
12#10609620C211yesmaximal, characteristic, complemented
13#10609583C211yesmaximal, characteristic, complemented
14#10608013C211yesmaximal, characteristic, complemented
15#10608010C211yesmaximal, characteristic, complemented
16#10607864C211yesmaximal, characteristic, complemented
17#10607843C211yesmaximal, characteristic, complemented
18#10606317C211yesmaximal, characteristic, complemented
19#10606235C211yesmaximal, characteristic, complemented
20#10606144C211yesmaximal, characteristic
21#10606144C211yesmaximal, characteristic
22#10605939C211yesmaximal, characteristic, complemented
23#10605935C211yesmaximal, characteristic, complemented
24#10605736C211yesmaximal, characteristic
25#10605732C211yesmaximal, characteristic, complemented
26#10605688C211yesmaximal, characteristic, complemented
27#10605669C211yesmaximal, characteristic, complemented
28#10605627C211yesmaximal, characteristic
29#10605627C211yesmaximal, characteristic
30#10605298C211yesmaximal, characteristic
31#10605265C211yesmaximal, characteristic, complemented
32C2×C5×#125C2211yescharacteristic, complemented
33C22×C5×C4⋊C4C2211yescharacteristic
34C22×#685C2211yescharacteristic
35C22×#685C2211yescharacteristic
36C22×#685C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C2×#4043C2211yescharacteristic
39C2×#4043C2211yescharacteristic
40C2×#4042C2211yescharacteristic
41C2×#4042C2211yescharacteristic
42C2×#4036C2211yescharacteristic, complemented
43C2×#4035C2211yescharacteristic, complemented
44C2×#4034C2211yescharacteristic, complemented
45C2×D5×C22⋊C4C2211yescharacteristic
46C2×D5×C22⋊C4C2211yescharacteristic
47C2×#4024C2211yescharacteristic
48C2×#4024C2211yescharacteristic
49C2×#4024C2211yescharacteristic
50C2×#4024C2211yescharacteristic
51C5×#400C2211yescharacteristic, complemented
52C5×#400C2211yescharacteristic, complemented
53C5×#398C2211yescharacteristic, complemented
54C5×#398C2211yescharacteristic, complemented
55C5×#389C2211yescharacteristic, complemented
56C5×#389C2211yescharacteristic, complemented
57C5×#385C2211yescharacteristic
58C5×#385C2211yescharacteristic
59C5×#382C2211yescharacteristic, complemented
60C5×#380C2211yescharacteristic
61C5×#380C2211yescharacteristic
62C5×#380C2211yescharacteristic
63C4×C5×C22⋊C4C2211yescharacteristic
64#65501C2211yescharacteristic
65#65501C2211yescharacteristic
66#65501C2211yescharacteristic
67#65499C2211yescharacteristic
68#65499C2211yescharacteristic
69C4×C22⋊Dic5C2211yescharacteristic
70C2×#3963C2211yescharacteristic
71C2×#3963C2211yescharacteristic
72#65283C2211yescharacteristic
73#65283C2211yescharacteristic
74#65283C2211yescharacteristic
75#65283C2211yescharacteristic
76#65283C2211yescharacteristic
77#65283C2211yescharacteristic
78#65281C2211yescharacteristic
79#65281C2211yescharacteristic
80#65279C2211yescharacteristic
81#65279C2211yescharacteristic
82#65279C2211yescharacteristic
83#65279C2211yescharacteristic
84#65279C2211yescharacteristic
85#65279C2211yescharacteristic
86#65279C2211yescharacteristic
87#65279C2211yescharacteristic
88#65278C2211yescharacteristic
89#65278C2211yescharacteristic
90#65278C2211yescharacteristic
91#65278C2211yescharacteristic
92#65278C2211yescharacteristic
93#65278C2211yescharacteristic
94#65276C2211yescharacteristic
95#65276C2211yescharacteristic
96#65275C2211yescharacteristic, complemented
97#65275C2211yescharacteristic, complemented
98#65274C2211yescharacteristic, complemented
99#65274C2211yescharacteristic, complemented
100#65273C2211yescharacteristic, complemented
101#65273C2211yescharacteristic, complemented
102#65273C2211yescharacteristic, complemented
103#65273C2211yescharacteristic, complemented
104#65273C2211yescharacteristic, complemented
105#65273C2211yescharacteristic, complemented
106#65273C2211yescharacteristic, complemented
107#65272C2211yescharacteristic, complemented
108#65271C2211yescharacteristic, complemented
109#65270C2211yescharacteristic, complemented
110#65269C2211yescharacteristic, complemented
111#65268C2211yescharacteristic, complemented
112#65268C2211yescharacteristic, complemented
113#65268C2211yescharacteristic, complemented
114#65268C2211yescharacteristic, complemented
115#65267C2211yescharacteristic, complemented
116#65266C2211yescharacteristic, complemented
117#65265C2211yescharacteristic, complemented
118#65262C2211yescharacteristic, complemented
119#65262C2211yescharacteristic, complemented
120#65261C2211yescharacteristic, complemented
121#65244C2211yescharacteristic
122#65244C2211yescharacteristic
123#65239C2211yescharacteristic
124#65239C2211yescharacteristic
125#65235C2211yescharacteristic
126#65235C2211yescharacteristic
127#65231C2211yescharacteristic
128#65231C2211yescharacteristic
129#65231C2211yescharacteristic
130#65231C2211yescharacteristic
131#65229C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic
134#65229C2211yescharacteristic
135#65218C2211yescharacteristic, complemented
136#65218C2211yescharacteristic, complemented
137#65217C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64966C2211yescharacteristic
140#64966C2211yescharacteristic
141#64965C2211yescharacteristic
142#64965C2211yescharacteristic
143#64962C2211yescharacteristic
144#64962C2211yescharacteristic
145#64962C2211yescharacteristic
146#64962C2211yescharacteristic
147#64958C2211yescharacteristic
148#64958C2211yescharacteristic
149#64958C2211yescharacteristic
150#64958C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic
159#64957C2211yescharacteristic
160#64957C2211yescharacteristic
161#64956C2211yescharacteristic
162#64956C2211yescharacteristic
163#64950C2211yescharacteristic, complemented
164#64950C2211yescharacteristic, complemented
165#64948C2211yescharacteristic, complemented
166#64947C2211yescharacteristic, complemented
167#64947C2211yescharacteristic, complemented
168#64946C2211yescharacteristic, complemented
169#64946C2211yescharacteristic, complemented
170#64946C2211yescharacteristic, complemented
171#64945C2211yescharacteristic, complemented
172#64945C2211yescharacteristic, complemented
173#64945C2211yescharacteristic, complemented
174#64945C2211yescharacteristic, complemented
175#64942C2211yescharacteristic, complemented
176#64941C2211yescharacteristic, complemented
177#64939C2211yescharacteristic, complemented
178#64936C2211yescharacteristic, complemented
179#64936C2211yescharacteristic, complemented
180#64936C2211yescharacteristic, complemented
181#64936C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64935C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36750—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C23×C4×C5C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C23×C4×C5C2311yescharacteristic
192C23×Dic5C2311yescharacteristic
193C23×Dic5C2311yescharacteristic
194C23×Dic5C2311yescharacteristic
195C22×C4×D5C2311yescharacteristic
196C22×C4×D5C2311yescharacteristic
197C22×C4×D5C2311yescharacteristic
198C22×C4×D5C2311yescharacteristic
199C22×Dic10C2311yescharacteristic
200C22×Dic10C2311yescharacteristic
201C22×Dic10C2311yescharacteristic
202C22×Dic10C2311yescharacteristic
203C5×#125—42no—
204C2×C5×C4⋊C4—42no—
205C2×C5×C4⋊C4C2311yescharacteristic
206C2×C5×C4⋊C4C2311yescharacteristic
207C2×C5×C4⋊C4C2311yescharacteristic
208C2×C5×C4⋊C4C2311yescharacteristic
209C2×C5×C4⋊C4C2311yescharacteristic
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C42×C5C2311yescharacteristic
224C2×C42×C5C2311yescharacteristic
225C2×C22⋊Dic5C2311yescharacteristic
226C2×C22⋊Dic5C2311yescharacteristic
227C2×C22⋊Dic5C2311yescharacteristic
228C2×C22⋊Dic5C2311yescharacteristic
229C2×#685—42no—
230C2×#685—42no—
231C2×#685Q818yescomplemented
232C2×#685C2311yescharacteristic
233C2×#685C2311yescharacteristic
234C2×#685C2311yescharacteristic
235C2×#685C2311yescharacteristic
236C2×#685C2311yescharacteristic
237C2×#685C2311yescharacteristic
238C2×#685C2311yescharacteristic
239C2×#685C2311yescharacteristic
240C2×#685C2311yescharacteristic
241C2×#685C2311yescharacteristic
242C2×#685C2311yescharacteristic
243C2×#685C2311yescharacteristic
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×C4⋊Dic5C2311yescharacteristic
257C2×C4⋊Dic5C2311yescharacteristic
258C2×C4⋊Dic5C2311yescharacteristic
259C2×C4⋊Dic5C2311yescharacteristic
260C2×C4⋊Dic5C2311yescharacteristic
261C2×C4⋊Dic5C2311yescharacteristic
262C2×C4⋊Dic5C2311yescharacteristic
263C2×C4⋊Dic5C2311yescharacteristic
264C2×C4⋊Dic5C2311yescharacteristic
265C2×C4⋊Dic5C2311yescharacteristic
266C2×C4⋊Dic5C2311yescharacteristic
267C2×C4⋊Dic5C2311yescharacteristic
268C2×C4⋊Dic5C2311yescharacteristic
269C2×C4⋊Dic5C2311yescharacteristic
270C2×#683C2311yescharacteristic
271C2×#683C2311yescharacteristic
272C2×#683C2311yescharacteristic
273C2×#683C2311yescharacteristic
274C2×#683C2311yescharacteristic
275C2×#683C2311yescharacteristic
276C2×#683C2311yescharacteristic
277C2×#683C2311yescharacteristic
278C2×#683C2311yescharacteristic
279C2×#683C2311yescharacteristic
280C2×#683C2311yescharacteristic
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×C4×Dic5—42no—
295C2×C4×Dic5C2311yescharacteristic
296C2×C4×Dic5C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301#4043—42no—
302#4043—42no—
303#4042—42no—
304#4042—42no—
305#4036—42no—
306#4035—42no—
307#4034—42no—
308D5×C22⋊C4—42no—
309D5×C22⋊C4—42no—
310#4024—42no—
311#4024—42no—
312#4024—42no—
313#4024—42no—
314C5×#95C2311yescharacteristic
315C5×#95C2311yescharacteristic
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#2857—51no—
363#2851—51no—
364#2807—51no—
365#2807—51no—
366#2788—51no—
367#2788—51no—
368#2768—51no—
369#2768—51no—
370#2763—51no—
371#2763—51no—
372#2729—51no—
373#2729—51no—
374#2720—51no—
375#2720—51no—
376#2704—51no—
377#2704—51no—
378#2704—51no—
379#2704—51no—
380#2659—51no—
381#2646—51no—
382#2549—51no—
383#2549—51no—
384#2442—51no—
385#2442D511yescharacteristic, complemented
386#2437—51no—
387#2437—51no—
388#2437—51no—
389#2437—51no—
390#2315—51no—
391#2312—51no—
392C2×#388—51no—
393C24×C5C2411yescharacteristic
394C23×D5—22no—
395C23×D5—22no—
396C23×D5—41no—
397C23×D5—41no—
398C23×D5—41no—
399C23×D5—41no—
400C23×D5C2×Q814yes—
401C23×D5C2411yescharacteristic
402C23×D5C2411yescharacteristic
403C22×C4×C5—22no—
404C22×C4×C5—22no—
405C22×C4×C5—22no—
406C22×C4×C5—41no—
407C22×C4×C5—41no—
408C22×C4×C5—41no—
409C22×C4×C5—41no—
410C22×C4×C5—41no—
411C22×C4×C5C2×Q814yes—
412C22×C4×C5C2411yescharacteristic
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C22×Dic5—22no—
427C22×Dic5—22no—
428C22×Dic5—22no—
429C22×Dic5—41no—
430C22×Dic5—41no—
431C22×Dic5—41no—
432C22×Dic5—41no—
433C22×Dic5—41no—
434C22×Dic5C2×Q814yes—
435C22×Dic5C2411yescharacteristic
436C22×Dic5C2411yescharacteristic
437C22×Dic5C2411yescharacteristic
438C22×Dic5C2411yescharacteristic
439C22×Dic5C2411yescharacteristic
440C22×Dic5C2411yescharacteristic
441C22×Dic5C2411yescharacteristic
442C22×Dic5C2411yescharacteristic
443C22×Dic5C2411yescharacteristic
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C2×C4×D5—41no—
450C2×C4×D5—41no—
451C2×C4×D5—41no—
452C2×C4×D5—41no—
453C2×C4×D5—41no—
454C2×C4×D5—41no—
455C2×C4×D5—41no—
456C2×C4×D5—41no—
457C2×C4×D5—41no—
458C2×C4×D5—41no—
459C2×C4×D5—41no—
460C2×C4×D5—41no—
461C2×Dic10—22no—
462C2×Dic10—22no—
463C2×Dic10—41no—
464C2×Dic10—41no—
465C2×Dic10—41no—
466C2×Dic10—41no—
467C2×Dic10—41no—
468C2×Dic10—41no—
469C2×Dic10—41no—
470C2×Dic10—41no—
471C2×Dic10—41no—
472C2×Dic10—41no—
473C5×C4⋊C4—22no—
474C5×C4⋊C4—22no—
475C5×C4⋊C4—22no—
476C5×C4⋊C4—22no—
477C5×C4⋊C4—41no—
478C5×C4⋊C4—41no—
479C5×C4⋊C4—41no—
480C5×C4⋊C4—41no—
481C5×C4⋊C4—41no—
482C5×C4⋊C4—41no—
483C5×C4⋊C4—41no—
484C5×C4⋊C4—41no—
485C5×C4⋊C4—41no—
486C5×C4⋊C4—41no—
487C5×C22⋊C4—22no—
488C5×C22⋊C4—22no—
489C5×C22⋊C4—22no—
490C5×C22⋊C4—22no—
491C42×C5—41no—
492C42×C5—41no—
493C22⋊Dic5—22no—
494C22⋊Dic5—22no—
495C22⋊Dic5—22no—
496C22⋊Dic5—22no—
497#685—22no—
498#685—22no—
499#685—22no—
500#685—22no—
501#685—41no—
502#685—41no—
503#685—41no—
504#685—41no—
505#685—41no—
506#685—41no—
507#685—41no—
508#685—41no—
509#685—41no—
510#685—41no—
511#685—41no—
512#685—41no—
513#685—41no—
514#685—41no—
515#685—41no—
516#685—41no—
517#685C2×Q814yes—
518#685C2×Q814yes—
519#685C2×Q814yes—
520#685C2×Q814yes—
521C4⋊Dic5—22no—
522C4⋊Dic5—22no—
523C4⋊Dic5—41no—
524C4⋊Dic5—41no—
525C4⋊Dic5—41no—
526C4⋊Dic5—41no—
527C4⋊Dic5—41no—
528C4⋊Dic5—41no—
529C4⋊Dic5—41no—
530C4⋊Dic5—41no—
531C4⋊Dic5—41no—
532C4⋊Dic5—41no—
533C4⋊Dic5—41no—
534C4⋊Dic5—41no—
535#683—22no—
536#683—22no—
537#683—41no—
538#683—41no—
539#683—41no—
540#683—41no—
541#683—41no—
542#683—41no—
543#683—41no—
544#683—41no—
545#683—41no—
546#683—41no—
547#683—41no—
548#683—41no—
549#683—41no—
550#683—41no—
551#683—41no—
552#683—41no—
553#683—41no—
554#683—41no—
555#683—41no—
556#683—41no—
557#683—41no—
558#683—41no—
559C4×Dic5—22no—
560C4×Dic5—22no—
561C4×Dic5—41no—
562C4×Dic5—41no—
563C4×Dic5—41no—
564C4×Dic5—41no—
565C2×C4⋊Q8—51no—
566C2×#125—51no—
567C2×#125—51no—
568C2×#125C2×D511yescharacteristic, complemented
569C2×C22⋊Q8—51no—
570C2×C22⋊Q8—51no—
571C2×C22⋊Q8—51no—
572C2×C22⋊Q8—51no—
573C2×C22⋊Q8—51no—
574C2×C22⋊Q8—51no—
575C2×C22⋊Q8—51no—
576C2×C22⋊Q8—51no—
577C22×C4⋊C4C2×D511yescharacteristic
578C22×C22⋊C4—51no—
579C22×C22⋊C4—51no—
580C22×C22⋊C4—51no—
581C22×C22⋊C4—51no—
582C22×C22⋊C4—51no—
583C22×C42—51no—
584#400—51no—
585#400—51no—
586#400—51no—
587#400—51no—
588#400—51no—
589#400—51no—
590#400C2×D511yescharacteristic, complemented
591#400C2×D511yescharacteristic, complemented
592#399—51no—
593#399—51no—
594#399—51no—
595#399—51no—
596#398—51no—
597#398—51no—
598#398—51no—
599#398—51no—
600#398—51no—
601#398—51no—
602#398—51no—
603#398—51no—
604#398—51no—
605#398—51no—
606#398—51no—
607#398—51no—
608#398—51no—
609#398—51no—
610#398C2×D511yescharacteristic, complemented
611#398C2×D511yescharacteristic, complemented
612#396—51no—
613#396—51no—
614#396—51no—
615#396—51no—
616#396—51no—
617#396—51no—
618#396—51no—
619#396—51no—
620#395—51no—
621#395—51no—
622#395—51no—
623#395—51no—
624#395—51no—
625#395—51no—
626#395—51no—
627#395—51no—
628#393—51no—
629#393—51no—
630#393—51no—
631#393—51no—
632#391—51no—
633#391—51no—
634#391—51no—
635#391—51no—
636#391—51no—
637#391—51no—
638#389—51no—
639#389—51no—
640#389—51no—
641#389—51no—
642#389—51no—
643#389—51no—
644#389—51no—
645#389—51no—
646#389—51no—
647#389—51no—
648#389—51no—
649#389—51no—
650#389C2×D511yescharacteristic, complemented
651#389C2×D511yescharacteristic, complemented
652#388—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#385—51no—
673#385—51no—
674#385—51no—
675#385—51no—
676#385—51no—
677#385—51no—
678#385—51no—
679#385—51no—
680#385—51no—
681#385—51no—
682#385—51no—
683#385—51no—
684#385—51no—
685#385—51no—
686#385—51no—
687#385—51no—
688#385—51no—
689#385—51no—
690#385—51no—
691#385—51no—
692#385—51no—
693#385—51no—
694#385C2×D511yescharacteristic
695#385C2×D511yescharacteristic
696#384—51no—
697#382—51no—
698#382—51no—
699#382C2×D511yescharacteristic, complemented
700#380—51no—
701#380—51no—
702#380—51no—
703#380—51no—
704#380—51no—
705#380—51no—
706#380—51no—
707#380—51no—
708#380—51no—
709#380—51no—
710#380—51no—
711#380C2×D511yescharacteristic
712#380C2×D511yescharacteristic
713#380C2×D511yescharacteristic
714#379—51no—
715#379—51no—
716C4×C22⋊C4—51no—
717C4×C22⋊C4C2×D511yescharacteristic
718C2×#95—51no—
719C2×#95—51no—
720C23×C5—21no—
721C23×C5—21no—
722C23×C5—21no—
723C23×C5—21no—
724C23×C5C22×Q812yes—
725C23×C5H(5,𝔽2)12yes—
726C23×C52−1+412yes—
727C23×C5C2511yescharacteristic
728C22×D5—21no—
729C22×D5—21no—
730C22×D5—21no—
731C22×D5—21no—
732C22×D5—21no—
733C22×D5—21no—
734C22×D5—21no—
735C22×D5—21no—
736C22×D5—21no—
737C22×D5—21no—
738C22×D5—21no—
739C22×D5—21no—
740C22×D5—28no—
741C22×D5—44no—
742C22×D5—44no—
743C22×D5—82no—
744C22×D5—82no—
745C22×D5—82no—
746C22×D5—82no—
747C22×D5C22×Q812yes—
748C22×D5C22×Q812yes—
749C2×C4×C5—21no—
750C2×C4×C5—21no—
751C2×C4×C5—21no—
752C2×C4×C5—21no—
753C2×C4×C5—21no—
754C2×C4×C5—21no—
755C2×C4×C5—21no—
756C2×C4×C5—21no—
757C2×C4×C5—21no—
758C2×C4×C5—21no—
759C2×C4×C5—21no—
760C2×C4×C5—21no—
761C2×C4×C5—21no—
762C2×C4×C5—21no—
763C2×C4×C5—21no—
764C2×C4×C5—21no—
765C2×C4×C5—21no—
766C2×C4×C5—21no—
767C2×C4×C5—21no—
768C2×C4×C5—21no—
769C2×C4×C5—21no—
770C2×C4×C5—21no—
771C2×C4×C5—21no—
772C2×C4×C5—21no—
773C2×C4×C5—21no—
774C2×C4×C5—21no—
775C2×C4×C5—21no—
776C2×C4×C5—21no—
777C2×C4×C5—21no—
778C2×C4×C5—21no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—44no—
789C2×C4×C5—44no—
790C2×C4×C5—82no—
791C2×C4×C5C22×Q812yes—
792C2×C4×C5C22×Q812yes—
793C2×C4×C5H(5,𝔽2)12yes—
794C2×Dic5—21no—
795C2×Dic5—21no—
796C2×Dic5—21no—
797C2×Dic5—21no—
798C2×Dic5—21no—
799C2×Dic5—21no—
800C2×Dic5—21no—
801C2×Dic5—21no—
802C2×Dic5—21no—
803C2×Dic5—21no—
804C2×Dic5—21no—
805C2×Dic5—21no—
806C2×Dic5—21no—
807C2×Dic5—21no—
808C2×Dic5—21no—
809C2×Dic5—21no—
810C2×Dic5—21no—
811C2×Dic5—21no—
812C2×Dic5—21no—
813C2×Dic5—21no—
814C2×Dic5—21no—
815C2×Dic5—21no—
816C2×Dic5—21no—
817C2×Dic5—21no—
818C2×Dic5—21no—
819C2×Dic5—21no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—44no—
834C2×Dic5—44no—
835C2×Dic5—82no—
836C2×Dic5C22×Q812yes—
837C2×Dic5C22×Q812yes—
838C2×Dic5H(5,𝔽2)12yes—
839C4×D5—82no—
840C4×D5—82no—
841C4×D5—82no—
842C4×D5—82no—
843Dic10—82no—
844Dic10—82no—
845Dic10—82no—
846Dic10—82no—
847C25—51no—
848C22×Q8—51no—
849C22×Q8—51no—
850C22×Q8—51no—
851C22×Q8—51no—
852C23×C4—51no—
853C23×C4—51no—
854C23×C4—51no—
855C23×C4—51no—
856C23×C4—51no—
857C23×C4—51no—
858C23×C4—51no—
859C23×C4C22×D511yescharacteristic
860C23×C4C22×D511yescharacteristic
861C23×C4C22×D511yescharacteristic
862C4⋊Q8—202no—
863#125—42no—
864#125—202no—
865#125—202no—
866C22⋊Q8—202no—
867C22⋊Q8—202no—
868C22⋊Q8—202no—
869C22⋊Q8—202no—
870C22⋊Q8—202no—
871C22⋊Q8—202no—
872C22⋊Q8—202no—
873C22⋊Q8—202no—
874C2×C4⋊C4—42no—
875C2×C4⋊C4—51no—
876C2×C4⋊C4—51no—
877C2×C4⋊C4—51no—
878C2×C4⋊C4—51no—
879C2×C4⋊C4—51no—
880C2×C4⋊C4—51no—
881C2×C4⋊C4—51no—
882C2×C4⋊C4—51no—
883C2×C4⋊C4—51no—
884C2×C4⋊C4—51no—
885C2×C4⋊C4—51no—
886C2×C4⋊C4—51no—
887C2×C4⋊C4—51no—
888C2×C4⋊C4—51no—
889C2×C4⋊C4—51no—
890C2×C4⋊C4—51no—
891C2×C4⋊C4—51no—
892C2×C4⋊C4—51no—
893C2×C4⋊C4—51no—
894C2×C4⋊C4—51no—
895C2×C4⋊C4—51no—
896C2×C4⋊C4—51no—
897C2×C4⋊C4—51no—
898C2×C4⋊C4—51no—
899C2×C4⋊C4—51no—
900C2×C4⋊C4—51no—
901C2×C4⋊C4—51no—
902C2×C4⋊C4—51no—
903C2×C4⋊C4—51no—
904C2×C4⋊C4—51no—
905C2×C4⋊C4—51no—
906C2×C4⋊C4—51no—
907C2×C4⋊C4—51no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4—51no—
910C2×C4⋊C4—51no—
911C2×C4⋊C4—51no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4C22×D511yescharacteristic
914C2×C4⋊C4C22×D511yescharacteristic
915C2×C4⋊C4C22×D511yescharacteristic
916C2×C4⋊C4C22×D511yescharacteristic
917C2×C4⋊C4C22×D511yescharacteristic
918C2×C4⋊C4C22×D511yescharacteristic
919C2×C4⋊C4C22×D511yescharacteristic
920C2×C4⋊C4C22×D511yescharacteristic
921C2×C4⋊C4C22×D511yescharacteristic
922C2×C4⋊C4C22×D511yescharacteristic
923C2×C4⋊C4C22×D511yescharacteristic
924C2×C4⋊C4C22×D511yescharacteristic
925C2×C4⋊C4C22×D511yescharacteristic
926C2×C4⋊C4C22×D511yescharacteristic
927C2×C22⋊C4—58no—
928C2×C22⋊C4—51no—
929C2×C22⋊C4—51no—
930C2×C22⋊C4—51no—
931C2×C22⋊C4—51no—
932C2×C22⋊C4—51no—
933C2×C22⋊C4—51no—
934C2×C22⋊C4—51no—
935C2×C22⋊C4—51no—
936C2×C22⋊C4—51no—
937C2×C22⋊C4—51no—
938C2×C22⋊C4—51no—
939C2×C22⋊C4—51no—
940C2×C22⋊C4—51no—
941C2×C22⋊C4—51no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—51no—
949C2×C22⋊C4—51no—
950C2×C22⋊C4—51no—
951C2×C22⋊C4—51no—
952C2×C22⋊C4—51no—
953C2×C22⋊C4—51no—
954C2×C22⋊C4—51no—
955C2×C22⋊C4—51no—
956C2×C22⋊C4—202no—
957C2×C22⋊C4—202no—
958C2×C22⋊C4—202no—
959C2×C22⋊C4—202no—
960C2×C22⋊C4C22×D511yescharacteristic
961C2×C22⋊C4C22×D511yescharacteristic
962C2×C22⋊C4C22×D511yescharacteristic
963C2×C22⋊C4C22×D511yescharacteristic
964C2×C42—51no—
965C2×C42—51no—
966C2×C42—51no—
967C2×C42—51no—
968C2×C42—51no—
969C2×C42—51no—
970C2×C42—202no—
971C2×C42C22×D511yescharacteristic
972C2×C42C22×D511yescharacteristic
973#95—51no—
974#95—51no—
975#95—51no—
976#95—51no—
977#95—51no—
978#95—51no—
979#95—51no—
980#95—51no—
981#95—51no—
982#95—51no—
983#95—51no—
984#95—51no—
985#95—51no—
986#95—51no—
987#95—51no—
988#95—51no—
989#95—51no—
990#95—51no—
991#95—51no—
992#95—51no—
993#95—51no—
994#95—51no—
995#95—51no—
996#95—51no—
997#95—51no—
998#95—51no—
999#95—51no—
1000#95—51no—
1001#95—51no—
1002#95—51no—
1003#95—51no—
1004#95—51no—
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95C22×D511yescharacteristic
1010#95C22×D511yescharacteristic
1011#95C22×D511yescharacteristic
1012#95C22×D511yescharacteristic
1013#95C22×D511yescharacteristic
1014#95C22×D511yescharacteristic
1015#95C22×D511yescharacteristic
1016#95C22×D511yescharacteristic
1017#95C22×D511yescharacteristic
1018#95C22×D511yescharacteristic
1019#95C22×D511yescharacteristic
1020#95C22×D511yescharacteristic
1021C22×C5—22no—
1022C22×C5—22no—
1023C22×C5—22no—
1024C22×C5—22no—
1025C22×C5—22no—
1026C22×C5—22no—
1027C22×C5#54414yes—
1028C22×C5C23×Q811yescharacteristic
1029C22×C5C2×H(5,𝔽2)11yescharacteristic
1030C22×C5C2×H(5,𝔽2)11yescharacteristic
1031C22×C5C2×H(5,𝔽2)11yescharacteristic
1032C22×C5C2×2−1+411yescharacteristic
1033C22×C5#58511yescharacteristic
1034C22×C5#58511yescharacteristic
1035C2×D5—22no—
1036C2×D5—22no—
1037C2×D5—22no—
1038C2×D5—22no—
1039C2×D5—22no—
1040C2×D5—22no—
1041C2×D5—41no—
1042C2×D5—41no—
1043C2×D5—41no—
1044C2×D5—41no—
1045C2×D5—41no—
1046C2×D5—41no—
1047C2×D5—41no—
1048C2×D5—41no—
1049C2×D5—88no—
1050C4×C5—22no—
1051C4×C5—22no—
1052C4×C5—22no—
1053C4×C5—41no—
1054C4×C5—41no—
1055C4×C5—41no—
1056C4×C5—41no—
1057C4×C5—41no—
1058C4×C5—41no—
1059C4×C5—41no—
1060C4×C5—41no—
1061C4×C5—41no—
1062C4×C5—41no—
1063C4×C5—41no—
1064Dic5—22no—
1065Dic5—22no—
1066Dic5—22no—
1067Dic5—41no—
1068Dic5—41no—
1069Dic5—41no—
1070Dic5—41no—
1071Dic5—41no—
1072Dic5—41no—
1073Dic5—41no—
1074Dic5—41no—
1075Dic5—41no—
1076Dic5—41no—
1077Dic5—41no—
1078C24—51no—
1079C24—51no—
1080C24—54no—
1081C24—102no—
1082C24—102no—
1083C24—201no—
1084C24—201no—
1085C24—201no—
1086C24—201no—
1087C24C23×D511yescharacteristic
1088C2×Q8—102no—
1089C2×Q8—102no—
1090C2×Q8—201no—
1091C2×Q8—201no—
1092C2×Q8—201no—
1093C2×Q8—201no—
1094C2×Q8—201no—
1095C2×Q8—201no—
1096C2×Q8—201no—
1097C2×Q8—201no—
1098C2×Q8—201no—
1099C2×Q8—201no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—51no—
1109C22×C4—51no—
1110C22×C4—51no—
1111C22×C4—54no—
1112C22×C4—51no—
1113C22×C4—51no—
1114C22×C4—51no—
1115C22×C4—51no—
1116C22×C4—51no—
1117C22×C4—51no—
1118C22×C4—51no—
1119C22×C4—51no—
1120C22×C4—51no—
1121C22×C4—51no—
1122C22×C4—51no—
1123C22×C4—102no—
1124C22×C4—102no—
1125C22×C4—102no—
1126C22×C4—201no—
1127C22×C4—201no—
1128C22×C4—201no—
1129C22×C4—201no—
1130C22×C4—201no—
1131C22×C4—201no—
1132C22×C4—201no—
1133C22×C4—201no—
1134C22×C4—201no—
1135C22×C4—201no—
1136C22×C4—201no—
1137C22×C4—201no—
1138C22×C4—201no—
1139C22×C4—201no—
1140C22×C4—201no—
1141C22×C4—201no—
1142C22×C4—201no—
1143C22×C4Q8×D514yes—
1144C22×C4C23×D511yescharacteristic
1145C22×C4C23×D511yescharacteristic
1146C22×C4C23×D511yescharacteristic
1147C22×C4C23×D511yescharacteristic
1148C22×C4C23×D511yescharacteristic
1149C22×C4C23×D511yescharacteristic
1150C22×C4C23×D511yescharacteristic
1151C22×C4C23×D511yescharacteristic
1152C22×C4C23×D511yescharacteristic
1153C22×C4C23×D511yescharacteristic
1154C22×C4C23×D511yescharacteristic
1155C22×C4C23×D511yescharacteristic
1156C22×C4C23×D511yescharacteristic
1157C22×C4C23×D511yescharacteristic
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—102no—
1173C4⋊C4—102no—
1174C4⋊C4—102no—
1175C4⋊C4—102no—
1176C4⋊C4—201no—
1177C4⋊C4—201no—
1178C4⋊C4—201no—
1179C4⋊C4—201no—
1180C4⋊C4—201no—
1181C4⋊C4—201no—
1182C4⋊C4—201no—
1183C4⋊C4—201no—
1184C4⋊C4—201no—
1185C4⋊C4—201no—
1186C4⋊C4—201no—
1187C4⋊C4—201no—
1188C4⋊C4—201no—
1189C4⋊C4—201no—
1190C4⋊C4—201no—
1191C4⋊C4—201no—
1192C4⋊C4—201no—
1193C4⋊C4—201no—
1194C4⋊C4—201no—
1195C4⋊C4—201no—
1196C4⋊C4—201no—
1197C4⋊C4—201no—
1198C4⋊C4—201no—
1199C4⋊C4—201no—
1200C4⋊C4—201no—
1201C4⋊C4—201no—
1202C4⋊C4—201no—
1203C4⋊C4—201no—
1204C4⋊C4—201no—
1205C4⋊C4—201no—
1206C4⋊C4—201no—
1207C4⋊C4—201no—
1208C4⋊C4—201no—
1209C4⋊C4—201no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—54no—
1215C22⋊C4—54no—
1216C22⋊C4—54no—
1217C22⋊C4—54no—
1218C22⋊C4—102no—
1219C22⋊C4—102no—
1220C22⋊C4—102no—
1221C22⋊C4—102no—
1222C22⋊C4—102no—
1223C22⋊C4—102no—
1224C22⋊C4—102no—
1225C22⋊C4—102no—
1226C22⋊C4—201no—
1227C22⋊C4—201no—
1228C22⋊C4—201no—
1229C22⋊C4—201no—
1230C22⋊C4—201no—
1231C22⋊C4—201no—
1232C22⋊C4—201no—
1233C22⋊C4—201no—
1234C22⋊C4—201no—
1235C22⋊C4—201no—
1236C22⋊C4—201no—
1237C22⋊C4—201no—
1238C22⋊C4—201no—
1239C22⋊C4—201no—
1240C22⋊C4—201no—
1241C22⋊C4—201no—
1242C42—41no—
1243C42—41no—
1244C42—102no—
1245C42—102no—
1246C42—201no—
1247C42—201no—
1248C42—201no—
1249C42—201no—
1250C2×C5—24no—
1251C2×C5C2×#54411yescharacteristic
1252C2×C5#350111yescharacteristic
1253C2×C5#350111yescharacteristic
1254C2×C5#353411yescharacteristic
1255C2×C5#353611yescharacteristic
1256C2×C5#355811yescharacteristic
1257C2×C5#356411yescharacteristic
1258D5—42no—
1259D5—42no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—52no—
1265C23—52no—
1266C23—101no—
1267C23—101no—
1268C23—101no—
1269C23—101no—
1270C23—101no—
1271C23—101no—
1272C23—101no—
1273C23—101no—
1274C23—101no—
1275C23—101no—
1276C23—101no—
1277C23—101no—
1278C23—108no—
1279C23—204no—
1280C23—204no—
1281C23—402no—
1282C23—402no—
1283C23—402no—
1284C23—402no—
1285C23C2×Q8×D512yes—
1286C23#414912yes—
1287C23#415012yes—
1288C23C24×D511yescharacteristic
1289Q8—402no—
1290Q8—402no—
1291Q8—402no—
1292Q8—402no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—44no—
1333C2×C4—44no—
1334C2×C4—52no—
1335C2×C4—52no—
1336C2×C4—52no—
1337C2×C4—82no—
1338C2×C4—101no—
1339C2×C4—101no—
1340C2×C4—101no—
1341C2×C4—101no—
1342C2×C4—101no—
1343C2×C4—101no—
1344C2×C4—101no—
1345C2×C4—101no—
1346C2×C4—101no—
1347C2×C4—101no—
1348C2×C4—101no—
1349C2×C4—101no—
1350C2×C4—101no—
1351C2×C4—101no—
1352C2×C4—101no—
1353C2×C4—101no—
1354C2×C4—101no—
1355C2×C4—101no—
1356C2×C4—101no—
1357C2×C4—101no—
1358C2×C4—101no—
1359C2×C4—101no—
1360C2×C4—101no—
1361C2×C4—101no—
1362C2×C4—101no—
1363C2×C4—101no—
1364C2×C4—101no—
1365C2×C4—101no—
1366C2×C4—101no—
1367C2×C4—101no—
1368C2×C4—101no—
1369C2×C4—101no—
1370C2×C4—101no—
1371C2×C4—101no—
1372C2×C4—101no—
1373C2×C4—101no—
1374C2×C4—101no—
1375C2×C4—101no—
1376C2×C4—101no—
1377C2×C4—204no—
1378C2×C4—204no—
1379C2×C4—402no—
1380C2×C4—402no—
1381C2×C4—402no—
1382C2×C4—402no—
1383C2×C4—402no—
1384C2×C4#414412yes—
1385C2×C4C2×Q8×D512yes—
1386C2×C4C2×Q8×D512yes—
1387C5#3675011yescharacteristic, complemented, Sylow
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—102no—
1395C22—102no—
1396C22—102no—
1397C22—102no—
1398C22—102no—
1399C22—102no—
1400C22—201no—
1401C22—201no—
1402C22—201no—
1403C22—201no—
1404C22—201no—
1405C22—201no—
1406C22—201no—
1407C22—201no—
1408C22—408no—
1409C22#6602314yes—
1410C22C2×#414411yescharacteristic
1411C22C22×Q8×D511yescharacteristic
1412C22C2×#414911yescharacteristic
1413C22C2×#415011yescharacteristic
1414C22#6628311yescharacteristic
1415C22D5×H(5,𝔽2)11yescharacteristic
1416C22#6628711yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—102no—
1432C4—102no—
1433C4—102no—
1434C4—201no—
1435C4—201no—
1436C4—201no—
1437C4—201no—
1438C4—201no—
1439C4—201no—
1440C4—201no—
1441C4—201no—
1442C4—201no—
1443C4—201no—
1444C4—201no—
1445C2—24no—
1446C2—202no—
1447C2—202no—
1448C2#1061788711yescharacteristic
1449C2C2×#6602311yescharacteristic
1450C2#1061850011yescharacteristic
1451C2#1061854811yescharacteristic
1452C2#1061863111yescharacteristic
1453C2#1061875411yescharacteristic
1454C2#1061881611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2442C2
prime radicalC24×D5C23
hypercenter#2442D5
hypocenterC5#36750
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2442

Complements

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

NH ≅ G/Ntype
1. C5×#2442C2semidirect
2. #10614800C2semidirect
3. #10614782C2semidirect
4. #10613903C2semidirect
6. #10610044C2semidirect
7. #10610026C2semidirect
8. #10609995C2semidirect
9. #10609979C2semidirect
10. #10609716C2semidirect
11. #10609711C2semidirect
12. #10609620C2semidirect
13. #10609583C2semidirect
14. #10608013C2semidirect
15. #10608010C2semidirect
16. #10607864C2semidirect
17. #10607843C2semidirect
18. #10606317C2semidirect
19. #10606235C2semidirect
22. #10605939C2semidirect
23. #10605935C2semidirect
25. #10605732C2semidirect
26. #10605688C2semidirect
27. #10605669C2semidirect
31. #10605265C2semidirect
32. C2×C5×#125C22semidirect
42. C2×#4036C22semidirect
43. C2×#4035C22semidirect
44. C2×#4034C22semidirect
51. C5×#400C22semidirect
52. C5×#400C22semidirect
53. C5×#398C22semidirect
54. C5×#398C22semidirect
55. C5×#389C22semidirect
56. C5×#389C22semidirect
59. C5×#382C22semidirect
96. #65275C22semidirect
97. #65275C22semidirect
98. #65274C22semidirect
99. #65274C22semidirect
100. #65273C22semidirect
101. #65273C22semidirect
102. #65273C22semidirect
103. #65273C22semidirect
104. #65273C22semidirect
105. #65273C22semidirect
106. #65273C22semidirect
107. #65272C22semidirect
108. #65271C22semidirect
109. #65270C22semidirect
110. #65269C22semidirect
111. #65268C22semidirect
112. #65268C22semidirect
113. #65268C22semidirect
114. #65268C22semidirect
115. #65267C22semidirect
116. #65266C22semidirect
117. #65265C22semidirect
118. #65262C22semidirect
119. #65262C22semidirect
120. #65261C22semidirect
135. #65218C22semidirect
136. #65218C22semidirect
137. #65217C22semidirect
138. #65217C22semidirect
163. #64950C22semidirect
164. #64950C22semidirect
165. #64948C22semidirect
166. #64947C22semidirect
167. #64947C22semidirect
168. #64946C22semidirect
169. #64946C22semidirect
170. #64946C22semidirect
171. #64945C22semidirect
172. #64945C22semidirect
173. #64945C22semidirect
174. #64945C22semidirect
175. #64942C22semidirect
176. #64941C22semidirect
177. #64939C22semidirect
178. #64936C22semidirect
179. #64936C22semidirect
180. #64936C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64935C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
231. C2×#685Q8semidirect
385. #2442D5semidirect
568. C2×#125C2×D5semidirect
590. #400C2×D5semidirect
591. #400C2×D5semidirect
610. #398C2×D5semidirect
611. #398C2×D5semidirect
650. #389C2×D5semidirect
651. #389C2×D5semidirect
699. #382C2×D5semidirect
1387. C5#36750semidirect

Maximal subgroups

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

subgroupindex
C5×#24422
#106148002
#106147822
#106139032
C2×#652792
#106100442
#106100262
#106099952
#106099792
#106097162
#106097112
#106096202
#106095832
#106080132
#106080102
#106078642
#106078432
#106063172
#106062352
#106061442
#106059392
#106059352
#106057362
#106057322
#106056882
#106056692
#106056272
#106052982
#106052652
#367505