Finite Group Databasebeta

← #28276163

Subgroups — #28276163

Order 13568.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289123C211yesmaximal, characteristic, complemented
2#20288614C211yesmaximal, characteristic, complemented
3#20287806C211yesmaximal, characteristic, complemented
4#20287803C211yesmaximal, characteristic, complemented
5#20287791C211yesmaximal, characteristic, complemented
6#20287789C211yesmaximal, characteristic, complemented
7#20287788C211yesmaximal, characteristic, complemented
8#20287787C211yesmaximal, characteristic, complemented
9#20287785C211yesmaximal, characteristic, complemented
10#20287780C211yesmaximal, characteristic, complemented
11#20287526C211yesmaximal, characteristic, complemented
12#20287524C211yesmaximal, characteristic, complemented
13#20287504C211yesmaximal, characteristic, complemented
14#20287502C211yesmaximal, characteristic, complemented
15#20287460C211yesmaximal, characteristic, complemented
16#20287459C211yesmaximal, characteristic, complemented
17#20287438C211yesmaximal, characteristic, complemented
18#20287437C211yesmaximal, characteristic, complemented
19#20285824C211yesmaximal, characteristic, complemented
20#20285815C211yesmaximal, characteristic, complemented
21#20285807C211yesmaximal, characteristic, complemented
22#20285717C211yesmaximal, characteristic, complemented
23#20285701C211yesmaximal, characteristic, complemented
24#20284945C211yesmaximal, characteristic, complemented
25#20284937C211yesmaximal, characteristic, complemented
26#20284901C211yesmaximal, characteristic, complemented
27#20284893C211yesmaximal, characteristic, complemented
28#20284870C211yesmaximal, characteristic, complemented
29#20284859C211yesmaximal, characteristic, complemented
30#20283819C211yesmaximal, 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
40Q8×Dic106C2211yescharacteristic, complemented
41#16811353C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic
43#16811347C2211yescharacteristic
44#16811347C2211yescharacteristic
45#16811347C2211yescharacteristic
46#16811345C2211yescharacteristic, complemented
47#16811342C2211yescharacteristic, complemented
48#16811340—21no—
49#16811296—21no—
50#16811296—21no—
51#16811296—21no—
52#16811296—21no—
53D4×Dic106C2211yescharacteristic, complemented
54#16811288C2211yescharacteristic, complemented
55#16811286—21no—
56#16811246—21no—
57#16811246—21no—
58#16811246C2211yescharacteristic
59#16811244C2211yescharacteristic
60#16811241—21no—
61#16811240C2211yescharacteristic
62#16811237—21no—
63#16811195—21no—
64#16811193—21no—
65#16811187C2211yescharacteristic
66#16811176C2211yescharacteristic
67#16811175C2211yescharacteristic
68#16811168C2211yescharacteristic
69#16811159—21no—
70#16811159—21no—
71C2×#13133206C2211yescharacteristic
72#16811101C2211yescharacteristic
73#16811097C2211yescharacteristic
74#41×Dic53C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811016C2211yescharacteristic
77#16811015C2211yescharacteristic, complemented
78#16811011C2211yescharacteristic
79#16811009C2211yescharacteristic
80#16811009C2211yescharacteristic
81#16811009C2211yescharacteristic
82#16811008C2211yescharacteristic
83#16811005C2211yescharacteristic, complemented
84#16811004C2211yescharacteristic
85#16810984C2211yescharacteristic
86#16810984C2211yescharacteristic
87#16810984C2211yescharacteristic
88#16810984C2211yescharacteristic
89#16810984C2211yescharacteristic
90#16810984C2211yescharacteristic
91#16810982C2211yescharacteristic, complemented
92#16810973C2211yescharacteristic, complemented
93#16810968C2211yescharacteristic
94#16810968C2211yescharacteristic
95#16810965C2211yescharacteristic
96#16810961C2211yescharacteristic
97#16810948C2211yescharacteristic
98#16810944C2211yescharacteristic
99#16810916C2211yescharacteristic, complemented
100#16810916C2211yescharacteristic, complemented
101#16810916C2211yescharacteristic, complemented
102#16810914C2211yescharacteristic
103#16810911C2211yescharacteristic, complemented
104#16810910C2211yescharacteristic
105#16810906C2211yescharacteristic, complemented
106#16810906C2211yescharacteristic, complemented
107#16810906C2211yescharacteristic, complemented
108#16810904C2211yescharacteristic
109#16810901C2211yescharacteristic, complemented
110#16810900C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810848C2211yescharacteristic
114#16810847C2211yescharacteristic
115#16810847C2211yescharacteristic
116#16810847C2211yescharacteristic
117#16810847C2211yescharacteristic, complemented
118#16810847C2211yescharacteristic, complemented
119#16810843C2211yescharacteristic, complemented
120#16810843C2211yescharacteristic, complemented
121#16810842C2211yescharacteristic, complemented
122#16810841C2211yescharacteristic
123#16810841C2211yescharacteristic
124#16810841C2211yescharacteristic
125#16810840C2211yescharacteristic
126#16810840C2211yescharacteristic
127#16810840C2211yescharacteristic
128#16810839C2211yescharacteristic
129#16810839C2211yescharacteristic
130#16810835C2211yescharacteristic
131#16810835C2211yescharacteristic
132#16810835C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810830C2211yescharacteristic, complemented
135#16810826C2211yescharacteristic, complemented
136#16810825C2211yescharacteristic, complemented
137#16810822C2211yescharacteristic
138#16810821C2211yescharacteristic
139#16810821C2211yescharacteristic, complemented
140#16810817C2211yescharacteristic
141#16810816C2211yescharacteristic
142#16810816C2211yescharacteristic, complemented
143#16810785C2211yescharacteristic
144#16810779C2211yescharacteristic
145#16810776C2211yescharacteristic
146#16810773C2211yescharacteristic
147#16810768C2211yescharacteristic
148#16810762C2211yescharacteristic
149#16810759C2211yescharacteristic
150#16810756C2211yescharacteristic
151#16810753C2211yescharacteristic, complemented
152#16810753C2211yescharacteristic, complemented
153#16810752C2211yescharacteristic, complemented
154#16810752C2211yescharacteristic, complemented
155#16810751C2211yescharacteristic, complemented
156#16810751C2211yescharacteristic, complemented
157#16810750C2211yescharacteristic, complemented
158#16810750C2211yescharacteristic, complemented
159#16810736C2211yescharacteristic
160#16810735C2211yescharacteristic, complemented
161#16810733C2211yescharacteristic
162#16810732C2211yescharacteristic, complemented
163#16810730C2211yescharacteristic, complemented
164#16810730C2211yescharacteristic, complemented
165#16810727C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic, complemented
168#16810726C2211yescharacteristic, complemented
169#16810725C2211yescharacteristic
170#16810724C2211yescharacteristic, complemented
171#16810724C2211yescharacteristic, complemented
172#16810724C2211yescharacteristic, complemented
173#16810721C2211yescharacteristic
174#16810720C2211yescharacteristic, complemented
175Q16×Dic53C2211yescharacteristic, complemented
176#16810715C2211yescharacteristic, complemented
177C4×#11719913C2211yescharacteristic
178SD16×Dic53C2211yescharacteristic, complemented
179C4×#11719924C2211yescharacteristic
180#16810708C2211yescharacteristic, complemented
181C4×D424C2211yescharacteristic
182C4×#11719922C2211yescharacteristic
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810677C2211yescharacteristic
187#16810677C2211yescharacteristic
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
203C2×#11719947—21no—
204C22×Dic106—21no—
205C2×Q8×D53—21no—
206C22×D212C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719913C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719924C2311yescharacteristic
214C2×#11719924C2311yescharacteristic
215C2×#11719924C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×D424C2311yescharacteristic
219C2×D424C2311yescharacteristic
220C2×#11719922C2311yescharacteristic
221C2×#11719922C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223#13133217—21no—
224#13133217C2311yescharacteristic
225#13133216—21no—
226#13133216—21no—
227#13133216—21no—
228#13133216D411yescharacteristic
229#13133216D411yescharacteristic
230#13133216C2311yescharacteristic
231#13133216C2311yescharacteristic
232#13133216C2311yescharacteristic
233#13133216C2311yescharacteristic
234#13133215—21no—
235#13133215—21no—
236#13133215C2311yescharacteristic
237#13133213C2311yescharacteristic
238#13133213C2311yescharacteristic
239#13133213C2311yescharacteristic
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133212—21no—
251#13133211—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133208D411yescharacteristic
256#13133208D411yescharacteristic
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#13133204—21no—
269#13133204C2311yescharacteristic
270#13133203—21no—
271#13133203—21no—
272#13133203—21no—
273#13133203—21no—
274#13133203—21no—
275#13133203—21no—
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133201—21no—
280#13133201—21no—
281#13133201—21no—
282#13133201—21no—
283#13133201—21no—
284#13133200—21no—
285#13133199—21no—
286#13133199—21no—
287#13133199—21no—
288#13133199—21no—
289#13133199—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133198—21no—
294#13133197—21no—
295#13133197—21no—
296#13133197—21no—
297#13133197—21no—
298#13133197—21no—
299#13133196—21no—
300#13133196C2311yescharacteristic
301#13133195—21no—
302#13133195—21no—
303#13133195—21no—
304#13133195—21no—
305#13133194—21no—
306#13133194—21no—
307#13133194—21no—
308#13133194—21no—
309#13133194—21no—
310#13133194D411yescharacteristic
311#13133194D411yescharacteristic
312#13133194D411yescharacteristic
313#13133194D411yescharacteristic
314#13133193—21no—
315#13133191—21no—
316#13133191—21no—
317#13133191C2311yescharacteristic
318#13133189—21no—
319#13133185—21no—
320#13133185—21no—
321Q8×Dic53—21no—
322Q8×Dic53—21no—
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328Q8×Dic53C2311yescharacteristic
329Q8×Dic53C2311yescharacteristic
330Q8×Dic53C2311yescharacteristic
331C4×Dic106—21no—
332C4×Dic106C2311yescharacteristic
333C4×Dic106C2311yescharacteristic
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337#13133182—21no—
338#13133182—21no—
339#13133182C2311yescharacteristic
340#13133182C2311yescharacteristic
341C4×D212C2311yescharacteristic
342C4×D212C2311yescharacteristic
343C4×D212C2311yescharacteristic
344C4×D212C2311yescharacteristic
345C4×D212C2311yescharacteristic
346D4×Dic53—21no—
347D4×Dic53—21no—
348D4×Dic53C2311yescharacteristic
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351D4×Dic53C2311yescharacteristic
352#13133179—21no—
353#13133179—21no—
354#13133179C2311yescharacteristic
355#13133179C2311yescharacteristic
356C4×C22⋊D53—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133176—21no—
364#13133176—21no—
365#13133176—21no—
366#13133176C2311yescharacteristic
367#13133176C2311yescharacteristic
368#13133175—21no—
369#13133175—21no—
370#13133175—21no—
371#13133175—21no—
372#13133174—21no—
373#13133173—21no—
374#13133173—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
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
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
510Q8×D53—82no—
511#11719947—82no—
512C2×D212—21no—
513C2×D212—41no—
514C2×D212—41no—
515C2×D212C2411yescharacteristic
516C2×D212C2411yescharacteristic
517C2×D212C2411yescharacteristic
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×Dic106—21no—
526C2×Dic106—21no—
527C2×Dic106—21no—
528C2×Dic106—21no—
529C2×Dic106—21no—
530C2×Dic106—82no—
531C2×Dic106C2×D411yescharacteristic
532C2×Dic106C2×D411yescharacteristic
533C2×Dic106C2×D411yescharacteristic
534C2×Dic106C2×D411yescharacteristic
535C2×Dic106C2411yescharacteristic
536Q16×C53—41no—
537Q16×C53—41no—
538Q16×C53—41no—
539SD16×C53—41no—
540SD16×C53—41no—
541SD16×C53—41no—
542SD16×C53—41no—
543D8×C53—41no—
544C2×C8×C53C2411yescharacteristic
545C2×C8×C53C2411yescharacteristic
546C2×C8×C53C2411yescharacteristic
547C2×C8×C53C2411yescharacteristic
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53C2×D411yescharacteristic
556C4⋊C4×C53C2×D411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53C2×D411yescharacteristic
569C22⋊C4×C53C2×D411yescharacteristic
570C42×C53—21no—
571C42×C53C2411yescharacteristic
572C42×C53C2411yescharacteristic
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53C2×D411yescharacteristic
582C22⋊Dic53C2×D411yescharacteristic
583#11719925—41no—
584#11719925—41no—
585#11719925—41no—
586#11719924—41no—
587#11719924—41no—
588#11719924—41no—
589#11719924—41no—
590#11719924—41no—
591#11719923—41no—
592#11719922—41no—
593#11719922—41no—
594#11719922—41no—
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—
612#11719921—21no—
613#11719921—21no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53C2×D411yescharacteristic
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2×D411yescharacteristic
631C4⋊Dic53C2×D411yescharacteristic
632C4⋊Dic53C2×D411yescharacteristic
633C4⋊Dic53C2×D411yescharacteristic
634C4⋊Dic53C2411yescharacteristic
635C4⋊Dic53C2411yescharacteristic
636C4⋊Dic53C2411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
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×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53C2×D411yescharacteristic
669C4×Dic53C2×D411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672C4×Dic53C2411yescharacteristic
673C4×Dic53C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678D424—41no—
679D424—41no—
680#11719913—41no—
681#11719913—41no—
682C23×C53—21no—
683C23×C53—21no—
684C23×C53C22×D411yescharacteristic
685C22×D53—21no—
686C22×D53—21no—
687C22×D53—21no—
688C22×D53—42no—
689C22×D53—81no—
690C22×D53—81no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—21no—
694Q8×C53—21no—
695Q8×C53—21no—
696Q8×C53—21no—
697Q8×C53—21no—
698Q8×C53—21no—
699Q8×C53—42no—
700Q8×C53—81no—
701D4×C53—21no—
702D4×C53—21no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—42no—
706D4×C53—81no—
707C2×C4×C53—21no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—42no—
716C2×C4×C53—42no—
717C2×C4×C53—81no—
718C2×C4×C53C22×D411yescharacteristic
719C2×C4×C53C22×D411yescharacteristic
720C2×C4×C53C22×D411yescharacteristic
721C2×C4×C53C22×D411yescharacteristic
722C2×C4×C53C22×D411yescharacteristic
723C2×C4×C53C2511yescharacteristic
724C22⋊D53—42no—
725C22⋊D53—81no—
726C22⋊D53—81no—
727C22⋊D53—81no—
728C22⋊D53—81no—
729C22⋊D53—81no—
730C22⋊D53—81no—
731C2×Dic53—21no—
732C2×Dic53—21no—
733C2×Dic53—21no—
734C2×Dic53—21no—
735C2×Dic53—21no—
736C2×Dic53—41no—
737C2×Dic53—41no—
738C2×Dic53—42no—
739C2×Dic53—81no—
740C2×Dic53—81no—
741C2×Dic53—81no—
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747C2×Dic53C22×D411yescharacteristic
748C2×Dic53C22×D411yescharacteristic
749C2×Dic53C22×D411yescharacteristic
750D212—21no—
751D212—21no—
752D212—21no—
753D212—21no—
754D212—21no—
755D212—21no—
756D212—42no—
757C4×D53—42no—
758C4×D53—81no—
759C4×D53—81no—
760C4×D53—81no—
761C4×D53—81no—
762C4×D53—81no—
763C4×D53—81no—
764Dic106—21no—
765Dic106—21no—
766Dic106—41no—
767Dic106—41no—
768Dic106—41no—
769Dic106—41no—
770Dic106—42no—
771Dic106—81no—
772Dic106—81no—
773Dic106—81no—
774Dic106—81no—
775C8×C53—21no—
776C8×C53—21no—
777C8×C53—21no—
778C8×C53—21no—
779#88322—21no—
780#88322—21no—
781#88322—21no—
782#88322—21no—
783#61944—531nomaximal, Sylow
784C22×C53—21no—
785C22×C53—21no—
786C22×C53—21no—
787C22×C53—41no—
788C22×C53—41no—
789C22×C53—41no—
790C22×C53—41no—
791C22×C53—41no—
792C22×C53—41no—
793C22×C53C23×D411yescharacteristic
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—41no—
799C2×D53—41no—
800C2×D53—41no—
801C2×D53—41no—
802C2×D53—41no—
803C2×D53—162no—
804C4×C53—21no—
805C4×C53—21no—
806C4×C53—21no—
807C4×C53—21no—
808C4×C53—21no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53—41no—
812C4×C53—41no—
813C4×C53—41no—
814C4×C53—41no—
815C4×C53#58511yescharacteristic
816C4×C53#58511yescharacteristic
817Dic53—21no—
818Dic53—21no—
819Dic53—21no—
820Dic53—21no—
821Dic53—21no—
822Dic53—21no—
823Dic53—21no—
824Dic53—21no—
825Dic53—41no—
826Dic53—41no—
827Dic53—41no—
828Dic53—41no—
829Dic53—41no—
830#3550—531no—
831#3510—531no—
832#3403—531no—
833#3403—531no—
834#3402—531no—
835#3402—531no—
836#3401—531no—
837#3401—531no—
838#3401—531no—
839#3401—531no—
840#3375—531no—
841#3375—531no—
842#3373—531no—
843#3373—531no—
844#3369—531no—
845#3369—531no—
846#3367—531no—
847#3367—531no—
848#3225—531no—
849#3225D5311yescharacteristic, complemented
850#3224—531no—
851#3224—531no—
852#3215—531no—
853#3213—531no—
854#3121—531no—
855#3121—531no—
856#3118—531no—
857#3118—531no—
858#3116—531no—
859#3115—531no—
860#2987—531no—
861C2×C53—41no—
862C2×C53—81no—
863C2×C53—81no—
864C2×C53#348711yescharacteristic
865C2×C53#358511yescharacteristic
866C2×C53#358611yescharacteristic
867D53—81no—
868D53—81no—
869D53—81no—
870#563—1061no—
871#563—1061no—
872#559—531no—
873#559—531no—
874#559—531no—
875#559—531no—
876#559—531no—
877#559—531no—
878Q82—531no—
879Q82—531no—
880#556—531no—
881#556—531no—
882#556—531no—
883#556—531no—
884#556—531no—
885#556—531no—
886#556—1061no—
887#551—1061no—
888#551—1061no—
889#551—1061no—
890#551—1061no—
891D4×Q8—531no—
892D4×Q8—531no—
893D4×Q8—1061no—
894#542—531no—
895#542—531no—
896#542—531no—
897#542—1061no—
898#542—1061no—
899#542—1061no—
900#542—1061no—
901#542C2×D5311yescharacteristic
902#536—1061no—
903#536—1061no—
904#536C2×D5311yescharacteristic
905#535—531no—
906#533—531no—
907#533—531no—
908#532—531no—
909#529—1061no—
910#529—1061no—
911C2×#124—531no—
912#519—531no—
913#518—531no—
914C4×#41—531no—
915#497—531no—
916#497—531no—
917#497—531no—
918#497C2×D5311yescharacteristic, complemented
919#496—531no—
920#496—531no—
921#496—531no—
922#496—531no—
923#495—531no—
924#495—531no—
925#495—531no—
926#495C2×D5311yescharacteristic, complemented
927#489—531no—
928#489—531no—
929#489—531no—
930#489—531no—
931#489—531no—
932#489—531no—
933#489—531no—
934#489C2×D5311yescharacteristic, complemented
935#487—531no—
936#487C2×D5311yescharacteristic, complemented
937#486—531no—
938#486—531no—
939#485—531no—
940#485—531no—
941#482—531no—
942#482—531no—
943#477—531no—
944#477—531no—
945#477—531no—
946#476—531no—
947#476—531no—
948#476—531no—
949#475—531no—
950#475—531no—
951#475—531no—
952#474—531no—
953#474—531no—
954#474—531no—
955#464—531no—
956#464—531no—
957#464—531no—
958#464—531no—
959#464—531no—
960#464—531no—
961#464—531no—
962#464—531no—
963#464—531no—
964#464—531no—
965#464—531no—
966#464C2×D5311yescharacteristic, complemented
967#463—531no—
968#463—531no—
969#463—531no—
970#463—531no—
971#463—531no—
972#463—531no—
973#463—531no—
974#463—531no—
975#463—531no—
976#463—531no—
977#463—531no—
978#463C2×D5311yescharacteristic, complemented
979#462—531no—
980#462—531no—
981#462C2×D5311yescharacteristic, complemented
982#461—531no—
983#461—531no—
984#461C2×D5311yescharacteristic, complemented
985#460—531no—
986#460—531no—
987#460—531no—
988#459—531no—
989#459—531no—
990#459—531no—
991#452—531no—
992#452C2×D5311yescharacteristic
993#451—531no—
994#451C2×D5311yescharacteristic
995#450—531no—
996#450—531no—
997#449—531no—
998#449C2×D5311yescharacteristic
999#448—531no—
1000#448C2×D5311yescharacteristic
1001#447—531no—
1002#447—531no—
1003#446—531no—
1004#446—531no—
1005#446—531no—
1006#446—531no—
1007#446—531no—
1008#446—531no—
1009#446—531no—
1010#446—531no—
1011#442—531no—
1012#442—531no—
1013#442—531no—
1014#442—531no—
1015#441—531no—
1016#441—531no—
1017#441—531no—
1018#441—531no—
1019#440—531no—
1020#440—531no—
1021#440—531no—
1022#440—531no—
1023#440—531no—
1024#440—531no—
1025#440—531no—
1026#440—531no—
1027C4×Q16—531no—
1028C4×Q16—531no—
1029C4×SD16—531no—
1030C4×SD16—531no—
1031C4×SD16—531no—
1032C4×SD16—531no—
1033C4×D8—531no—
1034C4×D8—531no—
1035#433—531no—
1036#433—531no—
1037#433—531no—
1038#433C2×D5311yescharacteristic
1039#432—531no—
1040#432—531no—
1041C53#6194411yescharacteristic, complemented, Sylow
1042C2×#41—1061no—
1043C2×#41C22×D5311yescharacteristic
1044C22×Q8—1061no—
1045C22×Q8—1061no—
1046C22×Q8C22×D5311yescharacteristic
1047C22×D4—531no—
1048C2×Q16—531no—
1049C2×Q16—531no—
1050C2×Q16—531no—
1051C2×Q16C22×D5311yescharacteristic
1052C2×Q16C22×D5311yescharacteristic
1053C2×Q16C22×D5311yescharacteristic
1054C2×SD16—531no—
1055C2×SD16—531no—
1056C2×SD16—531no—
1057C2×SD16—531no—
1058C2×SD16—531no—
1059C2×SD16—531no—
1060C2×SD16—531no—
1061C2×SD16—531no—
1062C2×SD16C22×D5311yescharacteristic
1063C2×SD16C22×D5311yescharacteristic
1064C2×SD16C22×D5311yescharacteristic
1065C2×SD16C22×D5311yescharacteristic
1066C2×D8—531no—
1067C2×D8—531no—
1068C2×D8—531no—
1069C2×D8—531no—
1070C2×D8—531no—
1071C2×D8C22×D5311yescharacteristic
1072C4⋊Q8—531no—
1073C4⋊Q8—531no—
1074C4⋊Q8—531no—
1075C4⋊Q8—531no—
1076C4⋊Q8—531no—
1077C4⋊Q8—531no—
1078C4⋊Q8—531no—
1079C4⋊Q8—531no—
1080C4⋊Q8—1061no—
1081C4⋊Q8—1061no—
1082C4⋊Q8—1061no—
1083C4⋊Q8—1061no—
1084C4⋊Q8—1061no—
1085C4⋊Q8—1061no—
1086C4⋊Q8C22×D5311yescharacteristic
1087C4⋊Q8C22×D5311yescharacteristic
1088C4⋊Q8C22×D5311yescharacteristic
1089#127—531no—
1090#127—531no—
1091#127—531no—
1092#126—21no—
1093#126—1061no—
1094#126—1061no—
1095#126—1061no—
1096#126—1061no—
1097#126—1061no—
1098#126—1061no—
1099#126—1061no—
1100#126—1061no—
1101#126—1061no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#125—531no—
1109#125—531no—
1110#125—1061no—
1111#124—21no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—531no—
1120#124—531no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124—1061no—
1129#124—1061no—
1130#124—1061no—
1131#124—1061no—
1132#124—1061no—
1133#124C22×D5311yescharacteristic
1134#124C22×D5311yescharacteristic
1135#124C22×D5311yescharacteristic
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147#123—1061no—
1148#123—1061no—
1149#123—1061no—
1150#123—1061no—
1151#123—1061no—
1152#123—1061no—
1153#123—1061no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—531no—
1158C22⋊Q8—531no—
1159C22⋊Q8—531no—
1160C22⋊Q8—531no—
1161C22⋊Q8—531no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8—1061no—
1168C22⋊Q8—1061no—
1169C22⋊Q8—1061no—
1170C22⋊Q8—1061no—
1171C22⋊Q8—1061no—
1172C22⋊Q8—1061no—
1173C22⋊Q8—1061no—
1174C22⋊Q8—1061no—
1175C22⋊Q8—1061no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8C22×D5311yescharacteristic
1179#121—531no—
1180#121—1061no—
1181#121—1061no—
1182#121—1061no—
1183#121C22×D5311yescharacteristic
1184#120—1061no—
1185#120—1061no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—531no—
1190C4×Q8—531no—
1191C4×Q8—531no—
1192C4×Q8—531no—
1193C4×Q8—531no—
1194C4×Q8—531no—
1195C4×Q8—531no—
1196C4×Q8—531no—
1197C4×Q8—531no—
1198C4×Q8—531no—
1199C4×Q8—531no—
1200C4×Q8—531no—
1201C4×Q8—1061no—
1202C4×Q8—1061no—
1203C4×Q8—1061no—
1204C4×Q8—1061no—
1205C4×Q8—1061no—
1206C4×Q8C22×D5311yescharacteristic
1207C4×D4—531no—
1208C4×D4—531no—
1209C4×D4—531no—
1210C4×D4—531no—
1211C4×D4—531no—
1212C4×D4—531no—
1213C4×D4—531no—
1214C4×D4—531no—
1215C4×D4—531no—
1216C4×D4—531no—
1217C4×D4—531no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4—1061no—
1223C4×D4—1061no—
1224C4×D4—1061no—
1225C4×D4—1061no—
1226C4×D4—1061no—
1227C4×D4—1061no—
1228C4×D4—1061no—
1229C4×D4C22×D5311yescharacteristic
1230#117—531no—
1231#117—531no—
1232#117—1061no—
1233#117—1061no—
1234#117—1061no—
1235#117—1061no—
1236#117—1061no—
1237#117—1061no—
1238#117—1061no—
1239#117—1061no—
1240#117—1061no—
1241#117—1061no—
1242#117C22×D5311yescharacteristic
1243C2×C22⋊C4—1061no—
1244C2×C22⋊C4—1061no—
1245C2×C22⋊C4—1061no—
1246C2×C22⋊C4—1061no—
1247C2×C42—531no—
1248C2×C42—1061no—
1249#107—531no—
1250#107—531no—
1251#107—531no—
1252#107—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106—531no—
1257C4⋊C8—531no—
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8—531no—
1267C4⋊C8C22×D5311yescharacteristic
1268C4⋊C8C22×D5311yescharacteristic
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103—531no—
1277#103—531no—
1278#103—531no—
1279#103C22×D5311yescharacteristic
1280#103C22×D5311yescharacteristic
1281#103C22×D5311yescharacteristic
1282#103C22×D5311yescharacteristic
1283#103C22×D5311yescharacteristic
1284#103C22×D5311yescharacteristic
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102—531no—
1295#102—531no—
1296#102—531no—
1297#102—531no—
1298#102—531no—
1299#102C22×D5311yescharacteristic
1300#102C22×D5311yescharacteristic
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8C22×D5311yescharacteristic
1304C22⋊C8C22×D5311yescharacteristic
1305#97—531no—
1306#97—531no—
1307#97—531no—
1308#97—531no—
1309#97—531no—
1310#97—531no—
1311#97—531no—
1312#97C22×D5311yescharacteristic
1313C4×C8—531no—
1314C4×C8—531no—
1315C4×C8—531no—
1316C4×C8C22×D5311yescharacteristic
1317C24—1061no—
1318#41—41no—
1319#41—41no—
1320#41—4242no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—531no—
1326C2×Q8—531no—
1327C2×Q8—531no—
1328C2×Q8—531no—
1329C2×Q8—531no—
1330C2×Q8—1061no—
1331C2×Q8—1061no—
1332C2×Q8—1061no—
1333C2×Q8—1061no—
1334C2×Q8—1061no—
1335C2×Q8—4242no—
1336C2×Q8—4242no—
1337C2×Q8C23×D5311yescharacteristic
1338C2×Q8C23×D5311yescharacteristic
1339C2×Q8C23×D5311yescharacteristic
1340C2×Q8C23×D5311yescharacteristic
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—531no—
1344C2×D4—531no—
1345C2×D4—531no—
1346C2×D4—1061no—
1347C2×D4—1061no—
1348C2×D4—1061no—
1349C2×D4—1061no—
1350C2×D4—1061no—
1351C2×D4—1061no—
1352C2×D4—1061no—
1353C2×D4—1061no—
1354C2×D4—2121no—
1355C2×D4—2121no—
1356C2×D4C23×D5311yescharacteristic
1357C2×D4C23×D5311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—531no—
1362C22×C4—531no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—1061no—
1369C22×C4—1061no—
1370C22×C4—1061no—
1371C22×C4—1061no—
1372C22×C4—1061no—
1373C22×C4—1061no—
1374C22×C4C23×D5311yescharacteristic
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—2121no—
1379Q16—2121no—
1380Q16—2121no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—2121no—
1386SD16—2121no—
1387SD16—2121no—
1388SD16—2121no—
1389SD16—2121no—
1390SD16—2121no—
1391SD16—2121no—
1392SD16—2121no—
1393D8—41no—
1394D8—2121no—
1395D8—2121no—
1396D8—2121no—
1397D8—2121no—
1398D8—2121no—
1399C2×C8—531no—
1400C2×C8—531no—
1401C2×C8—531no—
1402C2×C8—531no—
1403C2×C8C23×D5311yescharacteristic
1404C2×C8C23×D5311yescharacteristic
1405C2×C8C23×D5311yescharacteristic
1406C2×C8C23×D5311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—531no—
1415C4⋊C4—531no—
1416C4⋊C4—531no—
1417C4⋊C4—531no—
1418C4⋊C4—531no—
1419C4⋊C4—531no—
1420C4⋊C4—531no—
1421C4⋊C4—531no—
1422C4⋊C4—531no—
1423C4⋊C4—531no—
1424C4⋊C4—531no—
1425C4⋊C4—531no—
1426C4⋊C4—531no—
1427C4⋊C4—531no—
1428C4⋊C4—531no—
1429C4⋊C4—531no—
1430C4⋊C4—531no—
1431C4⋊C4—531no—
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⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4D4×D5311yescharacteristic
1452C4⋊C4D4×D5311yescharacteristic
1453C4⋊C4C23×D5311yescharacteristic
1454C4⋊C4C23×D5311yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—531no—
1465C22⋊C4—531no—
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⋊C4—1061no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4D4×D5311yescharacteristic
1499C22⋊C4D4×D5311yescharacteristic
1500C42—21no—
1501C42—531no—
1502C42—531no—
1503C42—531no—
1504C42—531no—
1505C42—531no—
1506C42—531no—
1507C42—1061no—
1508C42—1061no—
1509C42—1061no—
1510C42—1061no—
1511C42—1061no—
1512C42—1061no—
1513C42—1061no—
1514C42—1061no—
1515C42—1061no—
1516C42—1061no—
1517C42—1061no—
1518C42—1061no—
1519C42C23×D5311yescharacteristic
1520C42C23×D5311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—1061no—
1524C23—1061no—
1525C23—1061no—
1526C23—4241no—
1527C23—4241no—
1528C23—2122no—
1529C23C2×D4×D5311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—42no—
1539Q8—81no—
1540Q8—1061no—
1541Q8—1061no—
1542Q8—4241no—
1543Q8—4241no—
1544Q8—4241no—
1545Q8—4241no—
1546Q8—2121no—
1547Q8—2121no—
1548Q8—2121no—
1549Q8—2121no—
1550Q8—2122no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—42no—
1556D4—81no—
1557D4—1061no—
1558D4—1061no—
1559D4—1061no—
1560D4—1061no—
1561D4—1061no—
1562D4—1061no—
1563D4—4241no—
1564D4—4241no—
1565D4—4241no—
1566D4—4241no—
1567D4—4241no—
1568D4—4241no—
1569D4—2122no—
1570D4—2122no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—531no—
1583C2×C4—531no—
1584C2×C4—531no—
1585C2×C4—531no—
1586C2×C4—531no—
1587C2×C4—531no—
1588C2×C4—531no—
1589C2×C4—531no—
1590C2×C4—1061no—
1591C2×C4—1061no—
1592C2×C4—1061no—
1593C2×C4—1061no—
1594C2×C4—1061no—
1595C2×C4—4241no—
1596C2×C4—4241no—
1597C2×C4—4241no—
1598C2×C4—4241no—
1599C2×C4—4241no—
1600C2×C4—4241no—
1601C2×C4—4241no—
1602C2×C4—4241no—
1603C2×C4—4241no—
1604C2×C4—2122no—
1605C2×C4—2121no—
1606C2×C4—2121no—
1607C2×C4—2122no—
1608C2×C4C2×D4×D5311yescharacteristic
1609C2×C4C2×D4×D5311yescharacteristic
1610C2×C4C2×D4×D5311yescharacteristic
1611C2×C4C2×D4×D5311yescharacteristic
1612C2×C4C2×D4×D5311yescharacteristic
1613C2×C4C24×D5311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1061no—
1619C8—1061no—
1620C8—1061no—
1621C8—1061no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—8482no—
1632C22—2121no—
1633C22—2121no—
1634C22—2121no—
1635C22—2121no—
1636C22—2121no—
1637C22—2121no—
1638C22—2121no—
1639C22—2121no—
1640C22—2121no—
1641C22C22×D4×D5311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—1061no—
1654C4—1061no—
1655C4—1061no—
1656C4—1061no—
1657C4—1061no—
1658C4—1061no—
1659C4—1061no—
1660C4—1061no—
1661C4—2121no—
1662C4—2121no—
1663C4—2121no—
1664C4—2121no—
1665C4—2121no—
1666C4#1681145811yescharacteristic
1667C4#1681145811yescharacteristic
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—4241no—
1672C2—4241no—
1673C2—4241no—
1674C2#2028837111yescharacteristic
1675C2#2028949311yescharacteristic
1676C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3225C2
socleC22×C53C23×D4
hypercenter#3225D53
hypocenterC53#61944
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. #20289123C2semidirect
2. #20288614C2semidirect
3. #20287806C2semidirect
4. #20287803C2semidirect
5. #20287791C2semidirect
6. #20287789C2semidirect
7. #20287788C2semidirect
8. #20287787C2semidirect
9. #20287785C2semidirect
10. #20287780C2semidirect
11. #20287526C2semidirect
12. #20287524C2semidirect
13. #20287504C2semidirect
14. #20287502C2semidirect
15. #20287460C2semidirect
16. #20287459C2semidirect
17. #20287438C2semidirect
18. #20287437C2semidirect
19. #20285824C2semidirect
20. #20285815C2semidirect
21. #20285807C2semidirect
22. #20285717C2semidirect
23. #20285701C2semidirect
24. #20284945C2semidirect
25. #20284937C2semidirect
26. #20284901C2semidirect
27. #20284893C2semidirect
28. #20284870C2semidirect
29. #20284859C2semidirect
30. #20283819C2semidirect
31. C53×#3225C2semidirect
34. #16811356C22semidirect
39. #16811355C22semidirect
40. Q8×Dic106C22semidirect
41. #16811353C22semidirect
46. #16811345C22semidirect
47. #16811342C22semidirect
53. D4×Dic106C22semidirect
54. #16811288C22semidirect
77. #16811015C22semidirect
83. #16811005C22semidirect
91. #16810982C22semidirect
92. #16810973C22semidirect
99. #16810916C22semidirect
100. #16810916C22semidirect
101. #16810916C22semidirect
103. #16810911C22semidirect
105. #16810906C22semidirect
106. #16810906C22semidirect
107. #16810906C22semidirect
109. #16810901C22semidirect
117. #16810847C22semidirect
118. #16810847C22semidirect
119. #16810843C22semidirect
120. #16810843C22semidirect
121. #16810842C22semidirect
132. #16810835C22semidirect
133. #16810831C22semidirect
134. #16810830C22semidirect
135. #16810826C22semidirect
136. #16810825C22semidirect
139. #16810821C22semidirect
142. #16810816C22semidirect
151. #16810753C22semidirect
152. #16810753C22semidirect
153. #16810752C22semidirect
154. #16810752C22semidirect
155. #16810751C22semidirect
156. #16810751C22semidirect
157. #16810750C22semidirect
158. #16810750C22semidirect
160. #16810735C22semidirect
162. #16810732C22semidirect
163. #16810730C22semidirect
164. #16810730C22semidirect
165. #16810727C22semidirect
166. #16810727C22semidirect
167. #16810726C22semidirect
168. #16810726C22semidirect
170. #16810724C22semidirect
171. #16810724C22semidirect
172. #16810724C22semidirect
174. #16810720C22semidirect
175. Q16×Dic53C22semidirect
176. #16810715C22semidirect
178. SD16×Dic53C22semidirect
180. #16810708C22semidirect
190. C53×#497C22semidirect
191. C53×#495C22semidirect
192. C53×#489C22semidirect
193. C53×#487C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
196. C53×#462C22semidirect
197. C53×#461C22semidirect
849. #3225D53semidirect
918. #497C2×D53semidirect
926. #495C2×D53semidirect
934. #489C2×D53semidirect
936. #487C2×D53semidirect
966. #464C2×D53semidirect
978. #463C2×D53semidirect
981. #462C2×D53semidirect
984. #461C2×D53semidirect
1041. C53#61944semidirect

Maximal subgroups

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

subgroupindex
#202891232
#202886142
#202878062
#202878032
#202877912
#202877892
#202877882
#202877872
#202877852
#202877802
#202875262
#202875242
#202875042
#202875022
#202874602
#202874592
#202874382
#202874372
#202858242
#202858152
#202858072
#202857172
#202857012
#202849452
#202849372
#202849012
#202848932
#202848702
#202848592
#202838192
C53×#32252
#6194453