Finite Group Databasebeta

← #28275815

Subgroups — #28275815

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289193C211yesmaximal, characteristic, complemented
2#20288614C211yesmaximal, characteristic, complemented
3#20287789C211yesmaximal, characteristic, complemented
4#20287789C211yesmaximal, characteristic, complemented
5#20287785C211yesmaximal, characteristic, complemented
6#20287780C211yesmaximal, characteristic, complemented
7#20287765C211yesmaximal, characteristic, complemented
8#20287751C211yesmaximal, characteristic, complemented
9#20287706C211yesmaximal, characteristic, complemented
10#20287705C211yesmaximal, characteristic, complemented
11#20287552C211yesmaximal, characteristic, complemented
12#20287537C211yesmaximal, characteristic, complemented
13#20287524C211yesmaximal, characteristic, complemented
14#20287480C211yesmaximal, characteristic, complemented
15#20287474C211yesmaximal, characteristic, complemented
16#20287459C211yesmaximal, characteristic, complemented
17#20287408C211yesmaximal, characteristic, complemented
18#20287404C211yesmaximal, characteristic, complemented
19#20285824C211yesmaximal, characteristic, complemented
20#20285815C211yesmaximal, characteristic
21#20285785C211yesmaximal, characteristic, complemented
22#20285717C211yesmaximal, characteristic, complemented
23#20285685C211yesmaximal, characteristic, complemented
24#20285009C211yesmaximal, characteristic, complemented
25#20284962C211yesmaximal, characteristic, complemented
26#20284945C211yesmaximal, characteristic, complemented
27#20284901C211yesmaximal, characteristic, complemented
28#20284825C211yesmaximal, characteristic, complemented
29#20284779C211yesmaximal, characteristic, complemented
30#20283807C211yesmaximal, characteristic, complemented
31C53×#3223C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811375—21no—
34#16811355C2211yescharacteristic
35#16811355C2211yescharacteristic
36#16811355C2211yescharacteristic
37#16811355C2211yescharacteristic
38Q8×Dic106C2211yescharacteristic, complemented
39#16811352C2211yescharacteristic, complemented
40#16811350C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic
43#16811347C2211yescharacteristic
44#16811347C2211yescharacteristic
45#16811347C2211yescharacteristic
46#16811347C2211yescharacteristic, complemented
47#16811345C2211yescharacteristic, complemented
48#16811345C2211yescharacteristic, complemented
49#16811340—21no—
50#16811329C2211yescharacteristic, complemented
51#16811309—21no—
52#16811296—21no—
53#16811296—21no—
54#16811296—21no—
55#16811296—21no—
56#16811253—21no—
57#16811246—21no—
58#16811246—21no—
59#16811246C2211yescharacteristic
60#16811244C2211yescharacteristic
61#16811236—21no—
62#16811233C2211yescharacteristic
63#16811232—21no—
64#16811232—21no—
65#16811187C2211yescharacteristic
66#16811176C2211yescharacteristic
67#16811175C2211yescharacteristic
68#16811159—21no—
69#16811159—21no—
70#16811159C2211yescharacteristic
71C2×#13133206C2211yescharacteristic
72#16811101C2211yescharacteristic
73#16811097C2211yescharacteristic
74#41×Dic53C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811016C2211yescharacteristic
77#16811016C2211yescharacteristic
78#16811015C2211yescharacteristic, complemented
79#16811009C2211yescharacteristic
80#16811008C2211yescharacteristic
81#16811008C2211yescharacteristic
82#16811008C2211yescharacteristic
83#16811005C2211yescharacteristic, complemented
84#16810994C2211yescharacteristic
85#16810986C2211yescharacteristic
86#16810984C2211yescharacteristic
87#16810984C2211yescharacteristic
88#16810984C2211yescharacteristic
89#16810982C2211yescharacteristic, complemented
90#16810979C2211yescharacteristic
91#16810979C2211yescharacteristic
92#16810979C2211yescharacteristic
93#16810973C2211yescharacteristic, complemented
94#16810968C2211yescharacteristic
95#16810965C2211yescharacteristic
96#16810961C2211yescharacteristic
97#16810961C2211yescharacteristic
98#16810948C2211yescharacteristic
99#16810932C2211yescharacteristic, complemented
100#16810932C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic, complemented
103#16810920C2211yescharacteristic
104#16810920C2211yescharacteristic
105#16810916C2211yescharacteristic, complemented
106#16810914C2211yescharacteristic
107#16810906C2211yescharacteristic, complemented
108#16810906C2211yescharacteristic, complemented
109#16810904C2211yescharacteristic
110#16810901C2211yescharacteristic, complemented
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810848C2211yescharacteristic
114#16810847C2211yescharacteristic
115#16810847C2211yescharacteristic
116#16810847C2211yescharacteristic
117#16810847C2211yescharacteristic
118#16810847C2211yescharacteristic
119#16810847C2211yescharacteristic
120#16810847C2211yescharacteristic, complemented
121#16810847C2211yescharacteristic, complemented
122#16810847C2211yescharacteristic, complemented
123#16810842C2211yescharacteristic, complemented
124#16810841C2211yescharacteristic
125#16810841C2211yescharacteristic
126#16810841C2211yescharacteristic
127#16810840C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic
129#16810839C2211yescharacteristic
130#16810835C2211yescharacteristic, complemented
131#16810831C2211yescharacteristic, complemented
132#16810831C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810830C2211yescharacteristic, complemented
135#16810826C2211yescharacteristic, complemented
136#16810825C2211yescharacteristic
137#16810825C2211yescharacteristic
138#16810825C2211yescharacteristic, complemented
139#16810822C2211yescharacteristic
140#16810821C2211yescharacteristic
141#16810821C2211yescharacteristic
142#16810817C2211yescharacteristic
143#16810785C2211yescharacteristic
144#16810779C2211yescharacteristic
145#16810776C2211yescharacteristic
146#16810773C2211yescharacteristic
147#16810773C2211yescharacteristic
148#16810768C2211yescharacteristic
149#16810762C2211yescharacteristic
150#16810759C2211yescharacteristic
151#16810753C2211yescharacteristic, complemented
152#16810752C2211yescharacteristic, complemented
153#16810752C2211yescharacteristic, complemented
154#16810751C2211yescharacteristic, complemented
155#16810751C2211yescharacteristic, complemented
156#16810750C2211yescharacteristic, complemented
157C8×Dic106C2211yescharacteristic, complemented
158#16810747C2211yescharacteristic, complemented
159#16810736C2211yescharacteristic
160#16810732C2211yescharacteristic, complemented
161#16810730C2211yescharacteristic, complemented
162#16810730C2211yescharacteristic, complemented
163#16810730C2211yescharacteristic, complemented
164#16810727C2211yescharacteristic, complemented
165#16810726C2211yescharacteristic, complemented
166#16810726C2211yescharacteristic, complemented
167#16810725C2211yescharacteristic
168#16810724C2211yescharacteristic, complemented
169#16810721C2211yescharacteristic
170#16810721C2211yescharacteristic
171Q16×Dic53C2211yescharacteristic, complemented
172Q16×Dic53C2211yescharacteristic, complemented
173Q16×Dic53C2211yescharacteristic, complemented
174#16810715C2211yescharacteristic, complemented
175#16810715C2211yescharacteristic, complemented
176#16810714C2211yescharacteristic, complemented
177C4×#11719913C2211yescharacteristic
178SD16×Dic53C2211yescharacteristic, complemented
179C4×#11719924C2211yescharacteristic
180C4×#11719924C2211yescharacteristic
181#16810708C2211yescharacteristic, complemented
182C4×D424C2211yescharacteristic
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810677C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#541C2211yescharacteristic
189C53×#536C2211yescharacteristic
190C53×#497C2211yescharacteristic, complemented
191C53×#494C2211yescharacteristic, complemented
192C53×#491C2211yescharacteristic, complemented
193C53×#488C2211yescharacteristic, complemented
194C53×#464C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#462C2211yescharacteristic, complemented
197C53×#462C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic
199C53×#452C2211yescharacteristic
200C53×#451C2211yescharacteristic
201C53×#451C2211yescharacteristic
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×#11719924C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×D424C2311yescharacteristic
218C2×D424C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220#13133217—21no—
221#13133217—21no—
222#13133217C2311yescharacteristic
223#13133216—21no—
224#13133216—21no—
225#13133216—21no—
226#13133216D411yescharacteristic
227#13133216D411yescharacteristic
228#13133216C2311yescharacteristic
229#13133216C2311yescharacteristic
230#13133215C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133213C2311yescharacteristic
233#13133213C2311yescharacteristic
234#13133212—21no—
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
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#13133211—21no—
250#13133211—21no—
251#13133210—21no—
252#13133210—21no—
253#13133208—21no—
254#13133208—21no—
255#13133208—21no—
256#13133208—21no—
257#13133208D411yescharacteristic
258#13133208D411yescharacteristic
259#13133208C2311yescharacteristic
260#13133208C2311yescharacteristic
261#13133207—21no—
262#13133207—21no—
263#13133207—21no—
264#13133207—21no—
265#13133207—21no—
266#13133207—21no—
267#13133206—21no—
268#13133206—21no—
269#13133206C2311yescharacteristic
270#13133206C2311yescharacteristic
271#13133206C2311yescharacteristic
272#13133206C2311yescharacteristic
273#13133206C2311yescharacteristic
274#13133206C2311yescharacteristic
275#13133206C2311yescharacteristic
276#13133206C2311yescharacteristic
277#13133205C2311yescharacteristic
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133201—21no—
285#13133201—21no—
286#13133201—21no—
287#13133201—21no—
288#13133201—21no—
289#13133199—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133197—21no—
296#13133197—21no—
297#13133197—21no—
298#13133197—21no—
299#13133197—21no—
300#13133197—21no—
301#13133197—21no—
302#13133196C2311yescharacteristic
303#13133195—21no—
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195—21no—
308#13133194—21no—
309#13133194D411yescharacteristic
310#13133194D411yescharacteristic
311#13133194D411yescharacteristic
312#13133194D411yescharacteristic
313#13133191—21no—
314#13133191—21no—
315#13133191C2311yescharacteristic
316#13133185—21no—
317#13133185—21no—
318Q8×Dic53—21no—
319Q8×Dic53—21no—
320Q8×Dic53C2311yescharacteristic
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328Q8×Dic53C2311yescharacteristic
329Q8×Dic53C2311yescharacteristic
330C4×Dic106—21no—
331C4×Dic106—21no—
332C4×Dic106C2311yescharacteristic
333C4×Dic106C2311yescharacteristic
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337#13133182—21no—
338#13133182—21no—
339#13133182—21no—
340#13133182C2311yescharacteristic
341#13133182C2311yescharacteristic
342C4×D212C2311yescharacteristic
343C4×D212C2311yescharacteristic
344C4×D212C2311yescharacteristic
345C4×D212C2311yescharacteristic
346C4×D212C2311yescharacteristic
347D4×Dic53—21no—
348D4×Dic53—21no—
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351#13133179—21no—
352#13133179—21no—
353#13133179C2311yescharacteristic
354#13133179C2311yescharacteristic
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#13133175—21no—
371#13133174—21no—
372#13133174—21no—
373#13133173—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#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
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
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C22×Q8×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C2×Q16×C53C2311yescharacteristic
441C2×Q16×C53C2311yescharacteristic
442C2×Q16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447C4⋊Q8×C53C2311yescharacteristic
448#126×C53—21no—
449#126×C53—21no—
450#125×C53—21no—
451#125×C53—21no—
452#125×C53C2311yescharacteristic
453#124×C53C2311yescharacteristic
454#124×C53C2311yescharacteristic
455#123×C53—21no—
456#123×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic
461C4×Q8×C53C2311yescharacteristic
462C4×Q8×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—41no—
483C2×Q8×C53—41no—
484C2×Q8×C53C2411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×Q8×C53C2411yescharacteristic
488C2×Q8×C53C2411yescharacteristic
489C2×D4×C53—21no—
490C2×D4×C53C2411yescharacteristic
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53C2411yescharacteristic
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C22×Dic53—21no—
500C22×Dic53—21no—
501C22×Dic53C2×D411yescharacteristic
502C22×Dic53C2×D411yescharacteristic
503C2×D212—21no—
504C2×D212—41no—
505C2×D212—41no—
506C2×D212C2411yescharacteristic
507C2×D212C2411yescharacteristic
508C2×D212C2411yescharacteristic
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×C4×D53—21no—
513C2×C4×D53—21no—
514C2×C4×D53—21no—
515C2×C4×D53—21no—
516C2×Dic106—21no—
517C2×Dic106—21no—
518C2×Dic106—21no—
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2×D411yescharacteristic
522C2×Dic106C2×D411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526Q16×C53—41no—
527Q16×C53—41no—
528Q16×C53—41no—
529Q16×C53—41no—
530SD16×C53—41no—
531SD16×C53—41no—
532C2×C8×C53C2411yescharacteristic
533C2×C8×C53C2411yescharacteristic
534C2×C8×C53C2411yescharacteristic
535C2×C8×C53C2411yescharacteristic
536C4⋊C4×C53—21no—
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
559C22⋊C4×C53C2×D411yescharacteristic
560C42×C53—21no—
561C42×C53—21no—
562C42×C53C2411yescharacteristic
563C42×C53C2411yescharacteristic
564C22⋊Dic53—21no—
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53C2×D411yescharacteristic
569C22⋊Dic53C2×D411yescharacteristic
570#11719925—41no—
571#11719925—41no—
572#11719925—41no—
573#11719924—41no—
574#11719924—41no—
575#11719924—41no—
576#11719924—41no—
577#11719924—41no—
578#11719924—41no—
579#11719924—41no—
580#11719923—41no—
581#11719922—41no—
582#11719921—21no—
583#11719921—21no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
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—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—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⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2×D411yescharacteristic
625C4⋊Dic53C2×D411yescharacteristic
626C4⋊Dic53C2×D411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
629C4⋊Dic53C2411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
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#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651C4×Dic53—21no—
652C4×Dic53—21no—
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×C53C22×D411yescharacteristic
681C22×D53—21no—
682C22×D53—21no—
683C22×D53—21no—
684C22×D53—42no—
685C22×D53—81no—
686C22×D53—81no—
687Q8×C53—21no—
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—21no—
697Q8×C53—42no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—42no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
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—42no—
711C2×C4×C53—42no—
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C2511yescharacteristic
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—41no—
729C2×Dic53—41no—
730C2×Dic53—81no—
731C2×Dic53—81no—
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740D212—21no—
741D212—21no—
742D212—21no—
743D212—21no—
744D212—21no—
745D212—21no—
746D212—42no—
747C4×D53—42no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754Dic106—21no—
755Dic106—21no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—41no—
760Dic106—81no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—21no—
773C22×C53—21no—
774C22×C53—21no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53C23×D411yescharacteristic
779C2×D53—41no—
780C2×D53—41no—
781C2×D53—41no—
782C2×D53—41no—
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—41no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53—41no—
800C4×C53—41no—
801C4×C53#58511yescharacteristic
802C4×C53#58511yescharacteristic
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—21no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223D5311yescharacteristic, complemented
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985—531no—
847C2×C53—41no—
848C2×C53—81no—
849C2×C53#348711yescharacteristic
850C2×C53#358411yescharacteristic
851C2×C53#358611yescharacteristic
852D53—81no—
853D53—81no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559—531no—
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554—531no—
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—1061no—
886#541—1061no—
887#541—1061no—
888#541C2×D5311yescharacteristic
889#536C2×D5311yescharacteristic
890#535—531no—
891#533—531no—
892#533—531no—
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41—531no—
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497C2×D5311yescharacteristic, complemented
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494C2×D5311yescharacteristic, complemented
911#492—531no—
912#491C2×D5311yescharacteristic, complemented
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488C2×D5311yescharacteristic, complemented
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485—531no—
927#482—531no—
928#479—531no—
929#479—531no—
930#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464C2×D5311yescharacteristic, complemented
954#464C2×D5311yescharacteristic, complemented
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462C2×D5311yescharacteristic, complemented
967#462C2×D5311yescharacteristic, complemented
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452C2×D5311yescharacteristic
978#452C2×D5311yescharacteristic
979#451—531no—
980#451C2×D5311yescharacteristic
981#451C2×D5311yescharacteristic
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446—531no—
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442—531no—
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440—531no—
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16—531no—
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433C2×D5311yescharacteristic
1024#432—531no—
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41C22×D5311yescharacteristic
1028C22×Q8C22×D5311yescharacteristic
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16C22×D5311yescharacteristic
1034C2×Q16C22×D5311yescharacteristic
1035C2×Q16C22×D5311yescharacteristic
1036C2×Q16C22×D5311yescharacteristic
1037C2×Q16C22×D5311yescharacteristic
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16C22×D5311yescharacteristic
1050C2×SD16C22×D5311yescharacteristic
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8C22×D5311yescharacteristic
1067C4⋊Q8C22×D5311yescharacteristic
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127—531no—
1071#126—21no—
1072#126—21no—
1073#126—1061no—
1074#126—1061no—
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—21no—
1093#125—21no—
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#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125—1061no—
1108#125C22×D5311yescharacteristic
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—1061no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124C22×D5311yescharacteristic
1127#124C22×D5311yescharacteristic
1128#123—21no—
1129#123—21no—
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—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8C22×D5311yescharacteristic
1162C22⋊Q8C22×D5311yescharacteristic
1163#121—531no—
1164#121—1061no—
1165#121—1061no—
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—531no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
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—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8—1061no—
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—531no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212#117—531no—
1213#117—531no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117C22×D5311yescharacteristic
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—531no—
1233C2×C42—1061no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#106—531no—
1239#106—531no—
1240#106—531no—
1241#106—531no—
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103C22×D5311yescharacteristic
1267#103C22×D5311yescharacteristic
1268#103C22×D5311yescharacteristic
1269#103C22×D5311yescharacteristic
1270#103C22×D5311yescharacteristic
1271#103C22×D5311yescharacteristic
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8C22×D5311yescharacteristic
1289C22⋊C8C22×D5311yescharacteristic
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97—531no—
1295#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—21no—
1306C2×Q8—41no—
1307C2×Q8—41no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8C23×D5311yescharacteristic
1317C2×Q8C23×D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—531no—
1323C2×D4—531no—
1324C2×D4—531no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—1061no—
1331C2×D4—2121no—
1332C2×D4—2121no—
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—531no—
1337C22×C4—531no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4—1061no—
1346C22×C4—1061no—
1347C22×C4C23×D5311yescharacteristic
1348Q16—41no—
1349Q16—41no—
1350Q16—41no—
1351Q16—41no—
1352Q16—41no—
1353Q16—41no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—2121no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
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—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1436C4⋊C4D4×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—531no—
1446C22⋊C4—531no—
1447C22⋊C4—1061no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1478C22⋊C4D4×D5311yescharacteristic
1479C42—21no—
1480C42—21no—
1481C42—531no—
1482C42—531no—
1483C42—531no—
1484C42—531no—
1485C42—531no—
1486C42—531no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—1061no—
1505C23—1061no—
1506C23—1061no—
1507C23—4241no—
1508C23—4241no—
1509C23—2122no—
1510C23C2×D4×D5311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—42no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2121no—
1531D4—21no—
1532D4—21no—
1533D4—42no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—42no—
1556C2×C4—42no—
1557C2×C4—531no—
1558C2×C4—531no—
1559C2×C4—531no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—4241no—
1577C2×C4—4241no—
1578C2×C4—2122no—
1579C2×C4—2121no—
1580C2×C4—2121no—
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C2×D4×D5311yescharacteristic
1584C2×C4C2×D4×D5311yescharacteristic
1585C2×C4C2×D4×D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—8482no—
1602C22—2121no—
1603C22—2121no—
1604C22—2121no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—1061no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145811yescharacteristic
1638C4#1681145811yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—4241no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028837111yescharacteristic
1645C2#2028948511yescharacteristic
1646C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3223C2
socleC22×C53C23×D4
prime radical#20285815C2
hypercenter#3223D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3223

Complements

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

NH ≅ G/Ntype
1. #20289193C2semidirect
2. #20288614C2semidirect
3. #20287789C2semidirect
4. #20287789C2semidirect
5. #20287785C2semidirect
6. #20287780C2semidirect
7. #20287765C2semidirect
8. #20287751C2semidirect
9. #20287706C2semidirect
10. #20287705C2semidirect
11. #20287552C2semidirect
12. #20287537C2semidirect
13. #20287524C2semidirect
14. #20287480C2semidirect
15. #20287474C2semidirect
16. #20287459C2semidirect
17. #20287408C2semidirect
18. #20287404C2semidirect
19. #20285824C2semidirect
21. #20285785C2semidirect
22. #20285717C2semidirect
23. #20285685C2semidirect
24. #20285009C2semidirect
25. #20284962C2semidirect
26. #20284945C2semidirect
27. #20284901C2semidirect
28. #20284825C2semidirect
29. #20284779C2semidirect
30. #20283807C2semidirect
31. C53×#3223C2semidirect
38. Q8×Dic106C22semidirect
39. #16811352C22semidirect
40. #16811350C22semidirect
41. #16811348C22semidirect
46. #16811347C22semidirect
47. #16811345C22semidirect
48. #16811345C22semidirect
50. #16811329C22semidirect
78. #16811015C22semidirect
83. #16811005C22semidirect
89. #16810982C22semidirect
93. #16810973C22semidirect
99. #16810932C22semidirect
100. #16810932C22semidirect
101. #16810928C22semidirect
102. #16810925C22semidirect
105. #16810916C22semidirect
107. #16810906C22semidirect
108. #16810906C22semidirect
110. #16810901C22semidirect
120. #16810847C22semidirect
121. #16810847C22semidirect
122. #16810847C22semidirect
123. #16810842C22semidirect
127. #16810840C22semidirect
130. #16810835C22semidirect
131. #16810831C22semidirect
132. #16810831C22semidirect
133. #16810831C22semidirect
134. #16810830C22semidirect
135. #16810826C22semidirect
138. #16810825C22semidirect
151. #16810753C22semidirect
152. #16810752C22semidirect
153. #16810752C22semidirect
154. #16810751C22semidirect
155. #16810751C22semidirect
156. #16810750C22semidirect
157. C8×Dic106C22semidirect
158. #16810747C22semidirect
160. #16810732C22semidirect
161. #16810730C22semidirect
162. #16810730C22semidirect
163. #16810730C22semidirect
164. #16810727C22semidirect
165. #16810726C22semidirect
166. #16810726C22semidirect
168. #16810724C22semidirect
171. Q16×Dic53C22semidirect
172. Q16×Dic53C22semidirect
173. Q16×Dic53C22semidirect
174. #16810715C22semidirect
175. #16810715C22semidirect
176. #16810714C22semidirect
178. SD16×Dic53C22semidirect
181. #16810708C22semidirect
190. C53×#497C22semidirect
191. C53×#494C22semidirect
192. C53×#491C22semidirect
193. C53×#488C22semidirect
194. C53×#464C22semidirect
195. C53×#464C22semidirect
196. C53×#462C22semidirect
197. C53×#462C22semidirect
836. #3223D53semidirect
904. #497C2×D53semidirect
910. #494C2×D53semidirect
912. #491C2×D53semidirect
921. #488C2×D53semidirect
953. #464C2×D53semidirect
954. #464C2×D53semidirect
966. #462C2×D53semidirect
967. #462C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202891932
#202886142
#202877892
#202877852
#202877802
#202877652
#202877512
#202877062
#202877052
#202875522
#202875372
#202875242
#202874802
#202874742
#202874592
#202874082
#202874042
#202858242
#202858152
#202857852
#202857172
#202856852
#202850092
#202849622
#202849452
#202849012
#202848252
#202847792
#202838072
C53×#32232
#6192553