Finite Group Databasebeta

← #28275963

Subgroups — #28275963

Order 13568.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289214C211yesmaximal, characteristic, complemented
2#20288614C211yesmaximal, characteristic, complemented
3#20287791C211yesmaximal, characteristic, complemented
4#20287789C211yesmaximal, characteristic, complemented
5#20287788C211yesmaximal, characteristic, complemented
6#20287780C211yesmaximal, characteristic, complemented
7#20287724C211yesmaximal, characteristic, complemented
8#20287722C211yesmaximal, characteristic, complemented
9#20287708C211yesmaximal, characteristic, complemented
10#20287706C211yesmaximal, characteristic, complemented
11#20287482C211yesmaximal, characteristic, complemented
12#20287480C211yesmaximal, characteristic, complemented
13#20287467C211yesmaximal, characteristic, complemented
14#20287465C211yesmaximal, characteristic, complemented
15#20287405C211yesmaximal, characteristic, complemented
16#20287404C211yesmaximal, characteristic, complemented
17#20287369C211yesmaximal, characteristic, complemented
18#20287368C211yesmaximal, characteristic, complemented
19#20285824C211yesmaximal, characteristic, complemented
20#20285785C211yesmaximal, characteristic, complemented
21#20285763C211yesmaximal, characteristic
22#20285685C211yesmaximal, characteristic, complemented
23#20285679C211yesmaximal, characteristic, complemented
24#20285009C211yesmaximal, characteristic, complemented
25#20285000C211yesmaximal, characteristic, complemented
26#20284901C211yesmaximal, characteristic, complemented
27#20284893C211yesmaximal, characteristic, complemented
28#20284734C211yesmaximal, characteristic, complemented
29#20284726C211yesmaximal, characteristic, complemented
30#20283814C211yesmaximal, characteristic, complemented
31C53×#3225C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811374—21no—
34#16811356C2211yescharacteristic, complemented
35#16811355C2211yescharacteristic
36#16811355C2211yescharacteristic
37#16811355C2211yescharacteristic
38#16811355C2211yescharacteristic
39#16811355C2211yescharacteristic, complemented
40#16811352C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic
43#16811347C2211yescharacteristic
44#16811347C2211yescharacteristic
45#16811347C2211yescharacteristic
46#16811345C2211yescharacteristic, complemented
47#16811342C2211yescharacteristic, complemented
48#16811334C2211yescharacteristic, complemented
49#16811330C2211yescharacteristic, complemented
50#16811315—21no—
51#16811309—21no—
52#16811296—21no—
53#16811296—21no—
54#16811296—21no—
55#16811296—21no—
56#16811246—21no—
57#16811246—21no—
58#16811244C2211yescharacteristic
59#16811242—21no—
60#16811237—21no—
61#16811233C2211yescharacteristic
62#16811226C2211yescharacteristic
63#16811217—21no—
64#16811216—21no—
65#16811187C2211yescharacteristic
66#16811176C2211yescharacteristic
67#16811159—21no—
68#16811159—21no—
69#16811159C2211yescharacteristic
70#16811154C2211yescharacteristic
71C2×#13133206C2211yescharacteristic
72#16811101C2211yescharacteristic
73#16811097C2211yescharacteristic
74#41×Dic53C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811015C2211yescharacteristic, complemented
77#16811009C2211yescharacteristic
78#16811008C2211yescharacteristic
79#16811008C2211yescharacteristic
80#16811005C2211yescharacteristic, complemented
81#16811004C2211yescharacteristic
82#16811004C2211yescharacteristic
83#16810998C2211yescharacteristic
84#16810994C2211yescharacteristic
85#16810986C2211yescharacteristic
86#16810986C2211yescharacteristic
87#16810982C2211yescharacteristic, complemented
88#16810979C2211yescharacteristic
89#16810979C2211yescharacteristic
90#16810979C2211yescharacteristic
91#16810979C2211yescharacteristic
92#16810979C2211yescharacteristic
93#16810979C2211yescharacteristic
94#16810973C2211yescharacteristic, complemented
95#16810965C2211yescharacteristic
96#16810961C2211yescharacteristic
97#16810948C2211yescharacteristic
98#16810944C2211yescharacteristic
99#16810932C2211yescharacteristic, complemented
100#16810932C2211yescharacteristic, complemented
101#16810932C2211yescharacteristic, complemented
102#16810928C2211yescharacteristic, complemented
103#16810928C2211yescharacteristic, complemented
104#16810928C2211yescharacteristic, complemented
105#16810925C2211yescharacteristic, complemented
106#16810921C2211yescharacteristic, complemented
107#16810914C2211yescharacteristic
108#16810910C2211yescharacteristic
109#16810904C2211yescharacteristic
110#16810900C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810848C2211yescharacteristic
114#16810847C2211yescharacteristic
115#16810847C2211yescharacteristic
116#16810847C2211yescharacteristic
117#16810847C2211yescharacteristic, complemented
118#16810843C2211yescharacteristic, complemented
119#16810842C2211yescharacteristic, complemented
120#16810841C2211yescharacteristic
121#16810841C2211yescharacteristic
122#16810841C2211yescharacteristic
123#16810840C2211yescharacteristic
124#16810840C2211yescharacteristic
125#16810840C2211yescharacteristic
126#16810840C2211yescharacteristic, complemented
127#16810839C2211yescharacteristic
128#16810839C2211yescharacteristic
129#16810836C2211yescharacteristic, complemented
130#16810835C2211yescharacteristic
131#16810835C2211yescharacteristic
132#16810835C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810831C2211yescharacteristic, complemented
135#16810830C2211yescharacteristic, complemented
136#16810825C2211yescharacteristic, complemented
137#16810822C2211yescharacteristic
138#16810821C2211yescharacteristic
139#16810821C2211yescharacteristic, complemented
140#16810821C2211yescharacteristic, complemented
141#16810817C2211yescharacteristic
142#16810816C2211yescharacteristic
143#16810785C2211yescharacteristic
144#16810779C2211yescharacteristic
145#16810776C2211yescharacteristic
146#16810773C2211yescharacteristic
147#16810768C2211yescharacteristic
148#16810762C2211yescharacteristic
149#16810759C2211yescharacteristic
150#16810756C2211yescharacteristic
151#16810752C2211yescharacteristic, complemented
152#16810752C2211yescharacteristic, complemented
153#16810751C2211yescharacteristic, complemented
154#16810751C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156C8×Dic106C2211yescharacteristic, complemented
157#16810747C2211yescharacteristic, complemented
158#16810747C2211yescharacteristic, complemented
159#16810736C2211yescharacteristic
160#16810733C2211yescharacteristic
161#16810730C2211yescharacteristic, complemented
162#16810727C2211yescharacteristic, complemented
163#16810726C2211yescharacteristic, complemented
164#16810725C2211yescharacteristic
165#16810724C2211yescharacteristic, complemented
166#16810721C2211yescharacteristic
167Q16×Dic53C2211yescharacteristic, complemented
168Q16×Dic53C2211yescharacteristic, complemented
169#16810715C2211yescharacteristic, complemented
170#16810715C2211yescharacteristic, complemented
171#16810714C2211yescharacteristic, complemented
172C4×#11719913C2211yescharacteristic
173SD16×Dic53C2211yescharacteristic, complemented
174SD16×Dic53C2211yescharacteristic, complemented
175SD16×Dic53C2211yescharacteristic, complemented
176C4×#11719924C2211yescharacteristic
177#16810708C2211yescharacteristic, complemented
178#16810708C2211yescharacteristic, complemented
179C4×D424C2211yescharacteristic
180D8×Dic53C2211yescharacteristic, complemented
181C4×#11719922C2211yescharacteristic
182#16810703C2211yescharacteristic, complemented
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810673C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#542C2211yescharacteristic
189C53×#536C2211yescharacteristic
190C53×#497C2211yescharacteristic, complemented
191C53×#495C2211yescharacteristic, complemented
192C53×#489C2211yescharacteristic, complemented
193C53×#487C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#462C2211yescharacteristic, complemented
197C53×#461C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic
199C53×#451C2211yescharacteristic
200C53×#449C2211yescharacteristic
201C53×#448C2211yescharacteristic
202C53×#433C2211yescharacteristic
203C22×D212C2311yescharacteristic
204C2×#11719925C2311yescharacteristic
205C2×#11719925C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719913C2311yescharacteristic
208C2×#11719913C2311yescharacteristic
209C2×#11719923C2311yescharacteristic
210C2×#11719924C2311yescharacteristic
211C2×#11719924C2311yescharacteristic
212C2×#11719924C2311yescharacteristic
213C2×#11719924C2311yescharacteristic
214C2×#11719924C2311yescharacteristic
215C2×D424C2311yescharacteristic
216C2×D424C2311yescharacteristic
217C2×#11719922C2311yescharacteristic
218C2×#11719922C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220#13133217—21no—
221#13133217C2311yescharacteristic
222#13133216D411yescharacteristic
223#13133216D411yescharacteristic
224#13133215—21no—
225#13133215C2311yescharacteristic
226#13133213C2311yescharacteristic
227#13133213C2311yescharacteristic
228#13133213C2311yescharacteristic
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133211—21no—
241#13133210—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133208—21no—
247#13133208—21no—
248#13133208—21no—
249#13133208D411yescharacteristic
250#13133208D411yescharacteristic
251#13133208C2311yescharacteristic
252#13133208C2311yescharacteristic
253#13133208C2311yescharacteristic
254#13133208C2311yescharacteristic
255#13133207—21no—
256#13133207—21no—
257#13133207—21no—
258#13133206—21no—
259#13133206—21no—
260#13133206C2311yescharacteristic
261#13133206C2311yescharacteristic
262#13133206C2311yescharacteristic
263#13133206C2311yescharacteristic
264#13133206C2311yescharacteristic
265#13133206C2311yescharacteristic
266#13133206C2311yescharacteristic
267#13133205C2311yescharacteristic
268#13133204C2311yescharacteristic
269#13133203—21no—
270#13133203—21no—
271#13133203—21no—
272#13133203—21no—
273#13133203—21no—
274#13133203—21no—
275#13133203—21no—
276#13133201—21no—
277#13133201—21no—
278#13133201—21no—
279#13133201—21no—
280#13133201—21no—
281#13133201—21no—
282#13133201—21no—
283#13133200—21no—
284#13133199—21no—
285#13133199—21no—
286#13133199—21no—
287#13133199—21no—
288#13133199—21no—
289#13133199—21no—
290#13133199—21no—
291#13133199—21no—
292#13133198—21no—
293#13133197—21no—
294#13133197—21no—
295#13133197—21no—
296#13133197—21no—
297#13133197—21no—
298#13133196—21no—
299#13133196C2311yescharacteristic
300#13133195—21no—
301#13133195—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133194D411yescharacteristic
306#13133194D411yescharacteristic
307#13133194D411yescharacteristic
308#13133194D411yescharacteristic
309#13133193—21no—
310#13133193—21no—
311#13133191—21no—
312#13133191—21no—
313#13133191C2311yescharacteristic
314#13133189—21no—
315#13133188—21no—
316#13133185—21no—
317#13133185—21no—
318Q8×Dic53—21no—
319Q8×Dic53—21no—
320Q8×Dic53—21no—
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328Q8×Dic53C2311yescharacteristic
329C4×Dic106—21no—
330C4×Dic106C2311yescharacteristic
331C4×Dic106C2311yescharacteristic
332C4×Dic106C2311yescharacteristic
333C4×Dic106C2311yescharacteristic
334C4×Dic106C2311yescharacteristic
335#13133182C2311yescharacteristic
336#13133182C2311yescharacteristic
337C4×D212C2311yescharacteristic
338C4×D212C2311yescharacteristic
339C4×D212C2311yescharacteristic
340C4×D212C2311yescharacteristic
341C4×D212C2311yescharacteristic
342D4×Dic53—21no—
343D4×Dic53—21no—
344D4×Dic53—21no—
345D4×Dic53C2311yescharacteristic
346D4×Dic53C2311yescharacteristic
347D4×Dic53C2311yescharacteristic
348D4×Dic53C2311yescharacteristic
349#13133179—21no—
350#13133179—21no—
351#13133179C2311yescharacteristic
352#13133179C2311yescharacteristic
353C4×C22⋊D53—21no—
354#13133177—21no—
355#13133177—21no—
356#13133177—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133176—21no—
361#13133176—21no—
362#13133176—21no—
363#13133176C2311yescharacteristic
364#13133176C2311yescharacteristic
365#13133175—21no—
366#13133175—21no—
367#13133175—21no—
368#13133175—21no—
369#13133175—21no—
370#13133174—21no—
371#13133173—21no—
372#13133173—21no—
373C2×C4⋊Dic53—21no—
374C4⋊C4×D53—21no—
375C2×#11719921—21no—
376C2×#11719921—21no—
377C22⋊C4×D53—21no—
378C22⋊C4×D53—21no—
379C2×C4×Dic53—21no—
380C2×C4×Dic53C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133128C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428C4×#88322C2311yescharacteristic
429C8×Dic53C2311yescharacteristic
430C8×Dic53C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C22×Q8×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447C4⋊Q8×C53C2311yescharacteristic
448#126×C53—21no—
449#124×C53—21no—
450#124×C53C2311yescharacteristic
451#124×C53C2311yescharacteristic
452#124×C53C2311yescharacteristic
453#123×C53—21no—
454#123×C53—21no—
455#123×C53—21no—
456C22⋊Q8×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460#121×C53C2311yescharacteristic
461C4×Q8×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463#117×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479#41×C53—41no—
480#41×C53—41no—
481C2×Q8×C53—21no—
482C2×Q8×C53—21no—
483C2×Q8×C53—41no—
484C2×Q8×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×Q8×C53C2411yescharacteristic
488C2×Q8×C53C2411yescharacteristic
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2411yescharacteristic
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53C2411yescharacteristic
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C22×Dic53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53C2×D411yescharacteristic
509C22×Dic53C2×D411yescharacteristic
510C2×D212—21no—
511C2×D212—41no—
512C2×D212—41no—
513C2×D212C2411yescharacteristic
514C2×D212C2411yescharacteristic
515C2×D212C2411yescharacteristic
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×Dic106—21no—
524C2×Dic106C2×D411yescharacteristic
525C2×Dic106C2×D411yescharacteristic
526C2×Dic106C2×D411yescharacteristic
527C2×Dic106C2×D411yescharacteristic
528C2×Dic106C2411yescharacteristic
529Q16×C53—41no—
530Q16×C53—41no—
531Q16×C53—41no—
532SD16×C53—41no—
533SD16×C53—41no—
534SD16×C53—41no—
535SD16×C53—41no—
536D8×C53—41no—
537C2×C8×C53C2411yescharacteristic
538C2×C8×C53C2411yescharacteristic
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53—21no—
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53C2×D411yescharacteristic
549C4⋊C4×C53C2×D411yescharacteristic
550C4⋊C4×C53C2411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53C2×D411yescharacteristic
562C22⋊C4×C53C2×D411yescharacteristic
563C42×C53—21no—
564C42×C53C2411yescharacteristic
565C42×C53C2411yescharacteristic
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53C2×D411yescharacteristic
575C22⋊Dic53C2×D411yescharacteristic
576#11719925—41no—
577#11719925—41no—
578#11719925—41no—
579#11719924—41no—
580#11719924—41no—
581#11719924—41no—
582#11719924—41no—
583#11719924—41no—
584#11719923—41no—
585#11719922—41no—
586#11719922—41no—
587#11719922—41no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53C2×D411yescharacteristic
626C4⋊Dic53C2×D411yescharacteristic
627C4⋊Dic53C2×D411yescharacteristic
628C4⋊Dic53C2×D411yescharacteristic
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2×D411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
632C4⋊Dic53C2411yescharacteristic
633C4⋊Dic53C2411yescharacteristic
634C4⋊Dic53C2411yescharacteristic
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53C2×D411yescharacteristic
666C4×Dic53C2×D411yescharacteristic
667C4×Dic53C2411yescharacteristic
668C4×Dic53C2411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675D424—41no—
676D424—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53C22×D411yescharacteristic
682C22×D53—21no—
683C22×D53—21no—
684C22×D53—21no—
685C22×D53—42no—
686C22×D53—81no—
687C22×D53—81no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—21no—
694Q8×C53—21no—
695Q8×C53—21no—
696Q8×C53—42no—
697Q8×C53—81no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—21no—
701D4×C53—21no—
702D4×C53—42no—
703D4×C53—81no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—42no—
713C2×C4×C53—42no—
714C2×C4×C53—81no—
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C22×D411yescharacteristic
718C2×C4×C53C22×D411yescharacteristic
719C2×C4×C53C22×D411yescharacteristic
720C2×C4×C53C2511yescharacteristic
721C22⋊D53—81no—
722C22⋊D53—81no—
723C22⋊D53—81no—
724C22⋊D53—81no—
725C22⋊D53—81no—
726C22⋊D53—81no—
727C22⋊D53—81no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—21no—
733C2×Dic53—41no—
734C2×Dic53—41no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53—81no—
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747D212—21no—
748D212—21no—
749D212—21no—
750D212—21no—
751D212—21no—
752D212—21no—
753D212—42no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760C4×D53—81no—
761Dic106—21no—
762Dic106—21no—
763Dic106—41no—
764Dic106—41no—
765Dic106—41no—
766Dic106—41no—
767Dic106—81no—
768C8×C53—21no—
769C8×C53—21no—
770C8×C53—21no—
771C8×C53—21no—
772#88322—21no—
773#88322—21no—
774#88322—21no—
775#88322—21no—
776#61931—531nomaximal, Sylow
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53C23×D411yescharacteristic
787C2×D53—41no—
788C2×D53—41no—
789C2×D53—41no—
790C2×D53—41no—
791C2×D53—41no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—162no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—41no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53#58511yescharacteristic
809C4×C53#58511yescharacteristic
810Dic53—21no—
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823#3557—531no—
824#3510—531no—
825#3402—531no—
826#3402—531no—
827#3401—531no—
828#3401—531no—
829#3396—531no—
830#3396—531no—
831#3394—531no—
832#3394—531no—
833#3371—531no—
834#3371—531no—
835#3370—531no—
836#3370—531no—
837#3364—531no—
838#3364—531no—
839#3360—531no—
840#3360—531no—
841#3225—531no—
842#3225D5311yescharacteristic, complemented
843#3222—531no—
844#3220—531no—
845#3211—531no—
846#3211—531no—
847#3127—531no—
848#3126—531no—
849#3118—531no—
850#3118—531no—
851#3102—531no—
852#3102—531no—
853#2986—531no—
854C2×C53—41no—
855C2×C53—81no—
856C2×C53—81no—
857C2×C53#348711yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358411yescharacteristic
860D53—81no—
861D53—81no—
862D53—81no—
863#563—1061no—
864#563—1061no—
865#559—531no—
866#559—531no—
867#559—531no—
868#559—531no—
869#559—531no—
870#559—531no—
871#557—531no—
872#557—531no—
873#556—531no—
874#556—531no—
875#556—531no—
876#556—531no—
877#556—531no—
878#556—531no—
879#554—531no—
880#554—531no—
881#552—1061no—
882#552—1061no—
883#551—1061no—
884#551—1061no—
885#551—1061no—
886#551—1061no—
887#542—531no—
888#542—1061no—
889#542—1061no—
890#542—1061no—
891#542—1061no—
892#542C2×D5311yescharacteristic
893#541—531no—
894#540—531no—
895#539—1061no—
896#539—1061no—
897#536C2×D5311yescharacteristic
898#535—531no—
899#533—531no—
900#529—531no—
901#529—531no—
902#529—1061no—
903#529—1061no—
904C2×#124—531no—
905#519—531no—
906#518—531no—
907C4×#41—531no—
908#497—531no—
909#497—531no—
910#497C2×D5311yescharacteristic, complemented
911#496—531no—
912#495—531no—
913#495—531no—
914#495—531no—
915#495—531no—
916#495—531no—
917#495C2×D5311yescharacteristic, complemented
918#493—531no—
919#492—531no—
920#490—531no—
921#490—531no—
922#489—531no—
923#489C2×D5311yescharacteristic, complemented
924#488—531no—
925#488—531no—
926#488—531no—
927#488—531no—
928#488—531no—
929#488—531no—
930#487—531no—
931#487C2×D5311yescharacteristic, complemented
932#485—531no—
933#485—531no—
934#482—531no—
935#482—531no—
936#479—531no—
937#479—531no—
938#479—531no—
939#479—531no—
940#479—531no—
941#479—531no—
942#478—531no—
943#478—531no—
944#476—531no—
945#476—531no—
946#474—531no—
947#474—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#464—531no—
956#464—531no—
957#464C2×D5311yescharacteristic, complemented
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#463—531no—
963#463—531no—
964#463—531no—
965#463—531no—
966#463—531no—
967#463—531no—
968#463—531no—
969#463—531no—
970#463—531no—
971#463C2×D5311yescharacteristic, complemented
972#462—531no—
973#462—531no—
974#462—531no—
975#462C2×D5311yescharacteristic, complemented
976#461—531no—
977#461C2×D5311yescharacteristic, complemented
978#460—531no—
979#460—531no—
980#460—531no—
981#460—531no—
982#459—531no—
983#459—531no—
984#452—531no—
985#452C2×D5311yescharacteristic
986#451—531no—
987#451C2×D5311yescharacteristic
988#450—531no—
989#450—531no—
990#449—531no—
991#449C2×D5311yescharacteristic
992#448—531no—
993#448C2×D5311yescharacteristic
994#447—531no—
995#447—531no—
996#446—531no—
997#446—531no—
998#446—531no—
999#446—531no—
1000C8×Q8—531no—
1001C8×Q8—531no—
1002C8×Q8—531no—
1003C8×Q8—531no—
1004#442—531no—
1005#442—531no—
1006#441—531no—
1007#441—531no—
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012C4×Q16—531no—
1013C4×Q16—531no—
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×D8—531no—
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028#433—531no—
1029#433—531no—
1030#433—531no—
1031#433C2×D5311yescharacteristic
1032#431—531no—
1033#431—531no—
1034C53#6193111yescharacteristic, complemented, Sylow
1035C2×#41C22×D5311yescharacteristic
1036C22×Q8C22×D5311yescharacteristic
1037C22×D4—531no—
1038C2×Q16—531no—
1039C2×Q16—531no—
1040C2×Q16—531no—
1041C2×Q16C22×D5311yescharacteristic
1042C2×Q16C22×D5311yescharacteristic
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
1051C2×SD16—531no—
1052C2×SD16C22×D5311yescharacteristic
1053C2×SD16C22×D5311yescharacteristic
1054C2×SD16C22×D5311yescharacteristic
1055C2×SD16C22×D5311yescharacteristic
1056C2×D8—531no—
1057C2×D8—531no—
1058C2×D8—531no—
1059C2×D8—531no—
1060C2×D8—531no—
1061C2×D8C22×D5311yescharacteristic
1062C4⋊Q8—531no—
1063C4⋊Q8—531no—
1064C4⋊Q8—531no—
1065C4⋊Q8—531no—
1066C4⋊Q8—1061no—
1067C4⋊Q8—1061no—
1068C4⋊Q8C22×D5311yescharacteristic
1069C4⋊Q8C22×D5311yescharacteristic
1070C4⋊Q8C22×D5311yescharacteristic
1071#127—531no—
1072#127—531no—
1073#127—531no—
1074#126—21no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—531no—
1093#125—531no—
1094#125—531no—
1095#125—531no—
1096#125—531no—
1097#125—531no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#124—21no—
1105#124—531no—
1106#124—531no—
1107#124—531no—
1108#124—531no—
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—1061no—
1115#124—1061no—
1116#124—1061no—
1117#124—1061no—
1118#124—1061no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124C22×D5311yescharacteristic
1124#124C22×D5311yescharacteristic
1125#124C22×D5311yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—531no—
1153C22⋊Q8—531no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8C22×D5311yescharacteristic
1168#121—531no—
1169#121—1061no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121C22×D5311yescharacteristic
1174#120—1061no—
1175#120—1061no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—531no—
1190C4×Q8—531no—
1191C4×Q8—1061no—
1192C4×Q8—1061no—
1193C4×Q8—1061no—
1194C4×Q8—1061no—
1195C4×Q8C22×D5311yescharacteristic
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4C22×D5311yescharacteristic
1220#117—531no—
1221#117—531no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117—1061no—
1229#117—1061no—
1230#117—1061no—
1231#117—1061no—
1232#117—1061no—
1233#117C22×D5311yescharacteristic
1234C2×C4⋊C4—1061no—
1235C2×C4⋊C4—1061no—
1236C2×C22⋊C4—1061no—
1237C2×C22⋊C4—1061no—
1238C2×C22⋊C4—1061no—
1239C2×C22⋊C4—1061no—
1240C2×C42—531no—
1241C2×C42—1061no—
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107—531no—
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8—531no—
1253C4⋊C8—531no—
1254C4⋊C8—531no—
1255C4⋊C8—531no—
1256C4⋊C8—531no—
1257C4⋊C8—531no—
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8C22×D5311yescharacteristic
1261C4⋊C8C22×D5311yescharacteristic
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103C22×D5311yescharacteristic
1273#103C22×D5311yescharacteristic
1274#103C22×D5311yescharacteristic
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
1294C22⋊C8—531no—
1295C22⋊C8—531no—
1296C22⋊C8C22×D5311yescharacteristic
1297C22⋊C8C22×D5311yescharacteristic
1298#97—531no—
1299#97—531no—
1300#97—531no—
1301#97C22×D5311yescharacteristic
1302C4×C8—531no—
1303C4×C8—531no—
1304C4×C8—531no—
1305C4×C8—531no—
1306C4×C8—531no—
1307C4×C8—531no—
1308C4×C8—531no—
1309C4×C8C22×D5311yescharacteristic
1310C24—1061no—
1311#41—41no—
1312#41—41no—
1313C2×Q8—21no—
1314C2×Q8—21no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—531no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—531no—
1321C2×Q8—531no—
1322C2×Q8—1061no—
1323C2×Q8C23×D5311yescharacteristic
1324C2×Q8C23×D5311yescharacteristic
1325C2×Q8C23×D5311yescharacteristic
1326C2×Q8C23×D5311yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—1061no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4—2121no—
1341C2×D4—2121no—
1342C2×D4C23×D5311yescharacteristic
1343C2×D4C23×D5311yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—531no—
1348C22×C4—531no—
1349C22×C4—1061no—
1350C22×C4—1061no—
1351C22×C4—1061no—
1352C22×C4—1061no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4C23×D5311yescharacteristic
1361Q16—41no—
1362Q16—41no—
1363Q16—41no—
1364Q16—2121no—
1365Q16—2121no—
1366Q16—2121no—
1367SD16—41no—
1368SD16—41no—
1369SD16—41no—
1370SD16—41no—
1371SD16—2121no—
1372SD16—2121no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376SD16—2121no—
1377SD16—2121no—
1378SD16—2121no—
1379D8—41no—
1380D8—2121no—
1381D8—2121no—
1382D8—2121no—
1383D8—2121no—
1384D8—2121no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—531no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—531no—
1416C4⋊C4—531no—
1417C4⋊C4—531no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4D4×D5311yescharacteristic
1442C4⋊C4D4×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—531no—
1492C42—531no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42—1061no—
1506C42—1061no—
1507C42—1061no—
1508C42—1061no—
1509C42C23×D5311yescharacteristic
1510C42C23×D5311yescharacteristic
1511C23—21no—
1512C23—21no—
1513C23—1061no—
1514C23—1061no—
1515C23—1061no—
1516C23—4241no—
1517C23—4241no—
1518C23—2122no—
1519C23C2×D4×D5311yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—42no—
1529Q8—81no—
1530Q8—1061no—
1531Q8—1061no—
1532Q8—4241no—
1533Q8—2121no—
1534Q8—2121no—
1535Q8—2121no—
1536Q8—2121no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—42no—
1542D4—81no—
1543D4—1061no—
1544D4—1061no—
1545D4—1061no—
1546D4—1061no—
1547D4—1061no—
1548D4—1061no—
1549D4—4241no—
1550D4—4241no—
1551D4—4241no—
1552D4—4241no—
1553D4—4241no—
1554D4—4241no—
1555D4—4241no—
1556D4—2122no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—81no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—531no—
1573C2×C4—531no—
1574C2×C4—531no—
1575C2×C4—531no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—2121no—
1593C2×C4—2121no—
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—8482no—
1618C22—2121no—
1619C22—2121no—
1620C22—2121no—
1621C22—2121no—
1622C22—2121no—
1623C22—2121no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22C22×D4×D5311yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—1061no—
1640C4—1061no—
1641C4—1061no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—2121no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4#1681145811yescharacteristic
1653C4#1681145811yescharacteristic
1654C2—41no—
1655C2—81no—
1656C2—81no—
1657C2—4241no—
1658C2—4241no—
1659C2—4241no—
1660C2#2028837111yescharacteristic
1661C2#2028948511yescharacteristic
1662C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3225C2
socleC22×C53C23×D4
prime radical#20285763C2
hypercenter#3225D53
hypocenterC53#61931
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #20289214C2semidirect
2. #20288614C2semidirect
3. #20287791C2semidirect
4. #20287789C2semidirect
5. #20287788C2semidirect
6. #20287780C2semidirect
7. #20287724C2semidirect
8. #20287722C2semidirect
9. #20287708C2semidirect
10. #20287706C2semidirect
11. #20287482C2semidirect
12. #20287480C2semidirect
13. #20287467C2semidirect
14. #20287465C2semidirect
15. #20287405C2semidirect
16. #20287404C2semidirect
17. #20287369C2semidirect
18. #20287368C2semidirect
19. #20285824C2semidirect
20. #20285785C2semidirect
22. #20285685C2semidirect
23. #20285679C2semidirect
24. #20285009C2semidirect
25. #20285000C2semidirect
26. #20284901C2semidirect
27. #20284893C2semidirect
28. #20284734C2semidirect
29. #20284726C2semidirect
30. #20283814C2semidirect
31. C53×#3225C2semidirect
34. #16811356C22semidirect
39. #16811355C22semidirect
40. #16811352C22semidirect
41. #16811348C22semidirect
46. #16811345C22semidirect
47. #16811342C22semidirect
48. #16811334C22semidirect
49. #16811330C22semidirect
76. #16811015C22semidirect
80. #16811005C22semidirect
87. #16810982C22semidirect
94. #16810973C22semidirect
99. #16810932C22semidirect
100. #16810932C22semidirect
101. #16810932C22semidirect
102. #16810928C22semidirect
103. #16810928C22semidirect
104. #16810928C22semidirect
105. #16810925C22semidirect
106. #16810921C22semidirect
117. #16810847C22semidirect
118. #16810843C22semidirect
119. #16810842C22semidirect
126. #16810840C22semidirect
129. #16810836C22semidirect
132. #16810835C22semidirect
133. #16810831C22semidirect
134. #16810831C22semidirect
135. #16810830C22semidirect
136. #16810825C22semidirect
139. #16810821C22semidirect
140. #16810821C22semidirect
151. #16810752C22semidirect
152. #16810752C22semidirect
153. #16810751C22semidirect
154. #16810751C22semidirect
155. C8×Dic106C22semidirect
156. C8×Dic106C22semidirect
157. #16810747C22semidirect
158. #16810747C22semidirect
161. #16810730C22semidirect
162. #16810727C22semidirect
163. #16810726C22semidirect
165. #16810724C22semidirect
167. Q16×Dic53C22semidirect
168. Q16×Dic53C22semidirect
169. #16810715C22semidirect
170. #16810715C22semidirect
171. #16810714C22semidirect
173. SD16×Dic53C22semidirect
174. SD16×Dic53C22semidirect
175. SD16×Dic53C22semidirect
177. #16810708C22semidirect
178. #16810708C22semidirect
180. D8×Dic53C22semidirect
182. #16810703C22semidirect
190. C53×#497C22semidirect
191. C53×#495C22semidirect
192. C53×#489C22semidirect
193. C53×#487C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
196. C53×#462C22semidirect
197. C53×#461C22semidirect
842. #3225D53semidirect
910. #497C2×D53semidirect
917. #495C2×D53semidirect
923. #489C2×D53semidirect
931. #487C2×D53semidirect
957. #464C2×D53semidirect
971. #463C2×D53semidirect
975. #462C2×D53semidirect
977. #461C2×D53semidirect
1034. C53#61931semidirect

Maximal subgroups

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

subgroupindex
#202892142
#202886142
#202877912
#202877892
#202877882
#202877802
#202877242
#202877222
#202877082
#202877062
#202874822
#202874802
#202874672
#202874652
#202874052
#202874042
#202873692
#202873682
#202858242
#202857852
#202857632
#202856852
#202856792
#202850092
#202850002
#202849012
#202848932
#202847342
#202847262
#202838142
C53×#32252
#6193153