Finite Group Databasebeta

← #28275821

Subgroups — #28275821

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#20289197C211yesmaximal, characteristic, complemented
2#20288609C211yesmaximal, characteristic, complemented
3#20287794C211yesmaximal, characteristic, complemented
4#20287791C211yesmaximal, characteristic, complemented
5#20287785C211yesmaximal, characteristic, complemented
6#20287780C211yesmaximal, characteristic, complemented
7#20287765C211yesmaximal, characteristic, complemented
8#20287743C211yesmaximal, characteristic, complemented
9#20287706C211yesmaximal, characteristic, complemented
10#20287698C211yesmaximal, characteristic, complemented
11#20287561C211yesmaximal, characteristic, complemented
12#20287541C211yesmaximal, characteristic, complemented
13#20287526C211yesmaximal, characteristic, complemented
14#20287487C211yesmaximal, characteristic, complemented
15#20287467C211yesmaximal, characteristic, complemented
16#20287452C211yesmaximal, characteristic, complemented
17#20287406C211yesmaximal, characteristic, complemented
18#20287395C211yesmaximal, characteristic, complemented
19#20285830C211yesmaximal, characteristic, complemented
20#20285813C211yesmaximal, characteristic
21#20285794C211yesmaximal, characteristic, complemented
22#20285783C211yesmaximal, characteristic, complemented
23#20285680C211yesmaximal, characteristic, complemented
24#20285009C211yesmaximal, characteristic, complemented
25#20284961C211yesmaximal, characteristic, complemented
26#20284945C211yesmaximal, characteristic, complemented
27#20284900C211yesmaximal, characteristic, complemented
28#20284826C211yesmaximal, characteristic, complemented
29#20284780C211yesmaximal, characteristic, complemented
30#20283812C211yesmaximal, characteristic, complemented
31C53×#3215C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811374—21no—
34#16811355C2211yescharacteristic
35#16811355C2211yescharacteristic
36#16811355C2211yescharacteristic
37#16811355C2211yescharacteristic
38#16811353C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811349C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic, complemented
43#16811345C2211yescharacteristic, complemented
44#16811345C2211yescharacteristic, complemented
45#16811342C2211yescharacteristic
46#16811342C2211yescharacteristic
47#16811342C2211yescharacteristic
48#16811342C2211yescharacteristic
49#16811341—21no—
50#16811334C2211yescharacteristic, complemented
51#16811312—21no—
52#16811299—21no—
53#16811299—21no—
54#16811299—21no—
55#16811299—21no—
56#16811253—21no—
57#16811246C2211yescharacteristic
58#16811246C2211yescharacteristic
59#16811242—21no—
60#16811242—21no—
61#16811236—21no—
62#16811233C2211yescharacteristic
63#16811233C2211yescharacteristic
64#16811231—21no—
65#16811231—21no—
66#16811197C2211yescharacteristic
67#16811190C2211yescharacteristic
68#16811180C2211yescharacteristic
69#16811157C2211yescharacteristic
70#16811152—21no—
71#16811152—21no—
72#16811101C2211yescharacteristic
73#16811098C2211yescharacteristic
74C4×#11719945C2211yescharacteristic
75#16811016C2211yescharacteristic, complemented
76#16811016C2211yescharacteristic, complemented
77#16811014C2211yescharacteristic
78#16811009C2211yescharacteristic
79#16811008C2211yescharacteristic, complemented
80#16811005C2211yescharacteristic
81#16811005C2211yescharacteristic
82#16811004C2211yescharacteristic
83#16811001C2211yescharacteristic, complemented
84#16810994C2211yescharacteristic
85#16810990C2211yescharacteristic, complemented
86#16810986C2211yescharacteristic
87#16810984C2211yescharacteristic, complemented
88#16810981C2211yescharacteristic
89#16810979C2211yescharacteristic, complemented
90#16810977C2211yescharacteristic
91#16810977C2211yescharacteristic
92#16810976C2211yescharacteristic
93#16810972C2211yescharacteristic, complemented
94#16810968C2211yescharacteristic
95#16810965C2211yescharacteristic
96#16810961C2211yescharacteristic
97#16810961C2211yescharacteristic
98#16810948C2211yescharacteristic
99#16810932C2211yescharacteristic, complemented
100#16810931C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic
103#16810924C2211yescharacteristic, complemented
104#16810921C2211yescharacteristic
105#16810916C2211yescharacteristic, complemented
106#16810911C2211yescharacteristic
107#16810906C2211yescharacteristic, complemented
108#16810905C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic
110#16810900C2211yescharacteristic, complemented
111#16810848C2211yescharacteristic, complemented
112#16810847C2211yescharacteristic, complemented
113#16810847C2211yescharacteristic, complemented
114#16810847C2211yescharacteristic, complemented
115#16810847C2211yescharacteristic, complemented
116#16810846C2211yescharacteristic, complemented
117#16810844C2211yescharacteristic
118#16810843C2211yescharacteristic
119#16810843C2211yescharacteristic
120#16810842C2211yescharacteristic
121#16810842C2211yescharacteristic
122#16810841C2211yescharacteristic, complemented
123#16810840C2211yescharacteristic
124#16810840C2211yescharacteristic
125#16810839C2211yescharacteristic, complemented
126#16810837C2211yescharacteristic
127#16810835C2211yescharacteristic
128#16810835C2211yescharacteristic
129#16810832C2211yescharacteristic, complemented
130#16810831C2211yescharacteristic, complemented
131#16810831C2211yescharacteristic, complemented
132#16810831C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810830C2211yescharacteristic, complemented
135#16810827C2211yescharacteristic, complemented
136#16810826C2211yescharacteristic
137#16810826C2211yescharacteristic
138#16810825C2211yescharacteristic, complemented
139#16810822C2211yescharacteristic
140#16810821C2211yescharacteristic
141#16810821C2211yescharacteristic
142#16810817C2211yescharacteristic
143#16810787C2211yescharacteristic
144#16810783C2211yescharacteristic
145#16810783C2211yescharacteristic
146#16810779C2211yescharacteristic
147#16810774C2211yescharacteristic
148#16810770C2211yescharacteristic
149#16810762C2211yescharacteristic
150#16810757C2211yescharacteristic
151#16810751C2211yescharacteristic, complemented
152#16810751C2211yescharacteristic, complemented
153#16810751C2211yescharacteristic, complemented
154#16810751C2211yescharacteristic, complemented
155#16810750C2211yescharacteristic, complemented
156#16810750C2211yescharacteristic, complemented
157#16810747C2211yescharacteristic, complemented
158#16810747C2211yescharacteristic, complemented
159#16810736C2211yescharacteristic, complemented
160#16810732C2211yescharacteristic
161#16810731C2211yescharacteristic, complemented
162#16810730C2211yescharacteristic, complemented
163#16810730C2211yescharacteristic, complemented
164#16810727C2211yescharacteristic, complemented
165#16810726C2211yescharacteristic, complemented
166#16810725C2211yescharacteristic, complemented
167#16810725C2211yescharacteristic, complemented
168#16810724C2211yescharacteristic
169#16810724C2211yescharacteristic
170#16810720C2211yescharacteristic
171Q16×Dic53C2211yescharacteristic, complemented
172Q16×Dic53C2211yescharacteristic, complemented
173C4×#11719925C2211yescharacteristic, complemented
174C4×#11719925C2211yescharacteristic, complemented
175#16810715C2211yescharacteristic, complemented
176#16810714C2211yescharacteristic
177SD16×Dic53C2211yescharacteristic
178SD16×Dic53C2211yescharacteristic
179C4×#11719924C2211yescharacteristic, complemented
180C4×#11719924C2211yescharacteristic, complemented
181#16810708C2211yescharacteristic, complemented
182#16810703C2211yescharacteristic
183#16810681C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810681C2211yescharacteristic
187#16810676C2211yescharacteristic
188C53×#533C2211yescharacteristic
189C2×#124×C53C2211yescharacteristic
190C53×#497C2211yescharacteristic
191C53×#497C2211yescharacteristic
192C53×#489C2211yescharacteristic
193C53×#489C2211yescharacteristic
194C53×#464C2211yescharacteristic
195C53×#464C2211yescharacteristic
196C53×#464C2211yescharacteristic
197C53×#464C2211yescharacteristic
198C53×#451C2211yescharacteristic
199C53×#451C2211yescharacteristic
200C53×#450C2211yescharacteristic
201C53×#450C2211yescharacteristic
202C53×#432C2211yescharacteristic
203C2×#11719945C2311yescharacteristic
204C2×Dic212C2311yescharacteristic
205C2×#11719925C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719924C2311yescharacteristic
214C2×#11719924C2311yescharacteristic
215C2×#11719924C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×D424C2311yescharacteristic
218C2×#11719922C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220#13133217D411yescharacteristic
221#13133217D411yescharacteristic
222#13133216—21no—
223#13133216—21no—
224#13133216—21no—
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133215—21no—
228#13133215—21no—
229#13133215C2311yescharacteristic
230#13133215C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133215C2311yescharacteristic
233#13133213C2311yescharacteristic
234#13133213C2311yescharacteristic
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133211—21no—
242#13133211—21no—
243#13133211—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133210—21no—
256#13133209—21no—
257#13133209—21no—
258#13133209D411yescharacteristic
259#13133209D411yescharacteristic
260#13133209C2311yescharacteristic
261#13133208—21no—
262#13133208—21no—
263#13133208—21no—
264#13133208—21no—
265#13133208—21no—
266#13133208C2311yescharacteristic
267#13133208C2311yescharacteristic
268#13133207—21no—
269#13133207—21no—
270#13133207—21no—
271#13133207—21no—
272#13133206C2311yescharacteristic
273#13133206C2311yescharacteristic
274#13133206C2311yescharacteristic
275#13133206C2311yescharacteristic
276#13133205C2311yescharacteristic
277#13133204C2311yescharacteristic
278#13133204C2311yescharacteristic
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133201—21no—
286#13133201—21no—
287#13133201—21no—
288#13133201—21no—
289#13133200—21no—
290#13133200—21no—
291#13133200—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133197—21no—
299#13133197—21no—
300#13133197—21no—
301#13133197—21no—
302#13133196D411yescharacteristic
303#13133196D411yescharacteristic
304#13133196D411yescharacteristic
305#13133196D411yescharacteristic
306#13133196C2311yescharacteristic
307#13133195—21no—
308#13133195—21no—
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133194—21no—
313#13133193—21no—
314#13133193—21no—
315#13133193—21no—
316#13133193—21no—
317#13133191C2311yescharacteristic
318#13133188—21no—
319#13133188—21no—
320#13133186—21no—
321#13133186—21no—
322Q8×Dic53—21no—
323Q8×Dic53—21no—
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328Q8×Dic53C2311yescharacteristic
329Q8×Dic53C2311yescharacteristic
330Q8×Dic53C2311yescharacteristic
331Q8×Dic53C2311yescharacteristic
332C4×Dic106—21no—
333C4×Dic106—21no—
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341#13133182—21no—
342#13133182—21no—
343#13133182C2311yescharacteristic
344#13133182C2311yescharacteristic
345C4×D212C2311yescharacteristic
346C4×D212C2311yescharacteristic
347C4×D212C2311yescharacteristic
348D4×Dic53—21no—
349D4×Dic53—21no—
350D4×Dic53C2311yescharacteristic
351D4×Dic53C2311yescharacteristic
352D4×Dic53C2311yescharacteristic
353D4×Dic53C2311yescharacteristic
354#13133179C2311yescharacteristic
355#13133179C2311yescharacteristic
356C4×C22⋊D53—21no—
357C4×C22⋊D53—21no—
358C4×C22⋊D53—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133176—21no—
364#13133176—21no—
365#13133176C2311yescharacteristic
366#13133176C2311yescharacteristic
367#13133176C2311yescharacteristic
368#13133175—21no—
369#13133174—21no—
370#13133174—21no—
371#13133174—21no—
372#13133174—21no—
373#13133173—21no—
374#13133173—21no—
375#13133173—21no—
376#13133173—21no—
377C4⋊C4×D53—21no—
378C2×C22⋊Dic53—21no—
379C2×C22⋊Dic53—21no—
380C42×D53—21no—
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#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133127C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429C4×#88322C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×Q8×C53C2311yescharacteristic
436C22×D4×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C2×Q16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446C4⋊Q8×C53C2311yescharacteristic
447#125×C53—21no—
448#124×C53—21no—
449#124×C53—21no—
450#124×C53C2311yescharacteristic
451#124×C53C2311yescharacteristic
452#124×C53C2311yescharacteristic
453#124×C53C2311yescharacteristic
454C22⋊Q8×C53—21no—
455C22⋊Q8×C53C2311yescharacteristic
456C22⋊Q8×C53C2311yescharacteristic
457C4×Q8×C53—21no—
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460#117×C53—21no—
461C2×C22⋊C4×C53—21no—
462C2×C22⋊C4×C53—21no—
463C2×C42×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478C24×C53—21no—
479C2×Q8×C53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53—41no—
482C2×Q8×C53—41no—
483C2×Q8×C53C2411yescharacteristic
484C2×Q8×C53C2411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×D4×C53—21no—
488C2×D4×C53—41no—
489C2×D4×C53—41no—
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C22×C4×C53—21no—
493C22×C4×C53C2×D411yescharacteristic
494C22×C4×C53C2×D411yescharacteristic
495C22×C4×C53C2411yescharacteristic
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C22×Dic53—21no—
503C22×Dic53—21no—
504C22×Dic53—21no—
505C22×Dic53—21no—
506#11719945—41no—
507#11719945—41no—
508C2×D212C2411yescharacteristic
509C2×D212C2411yescharacteristic
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×Dic106C2×D411yescharacteristic
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2×D411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526Q16×C53—41no—
527Q16×C53—41no—
528SD16×C53—41no—
529SD16×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×C53C2411yescharacteristic
544C4⋊C4×C53C2411yescharacteristic
545C22⋊C4×C53—21no—
546C22⋊C4×C53—21no—
547C22⋊C4×C53—21no—
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C22⋊C4×C53—21no—
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C42×C53—21no—
556C42×C53—21no—
557C42×C53C2×D411yescharacteristic
558C42×C53C2×D411yescharacteristic
559C42×C53C2411yescharacteristic
560C42×C53C2411yescharacteristic
561C22⋊Dic53—21no—
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564C22⋊Dic53—21no—
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53C2×D411yescharacteristic
572C22⋊Dic53C2×D411yescharacteristic
573C22⋊Dic53C2×D411yescharacteristic
574C22⋊Dic53C2×D411yescharacteristic
575#11719925—41no—
576#11719925—41no—
577#11719925—41no—
578#11719925—41no—
579#11719924—41no—
580#11719924—41no—
581#11719924—41no—
582#11719924—41no—
583#11719923—41no—
584#11719923—41no—
585#11719922—41no—
586#11719922—41no—
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—
603C4⋊Dic53—21no—
604C4⋊Dic53—21no—
605C4⋊Dic53—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53C2×D411yescharacteristic
614C4⋊Dic53C2×D411yescharacteristic
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
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#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×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53C2411yescharacteristic
668C4×Dic53C2411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675Dic212—41no—
676D424—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53—42no—
682C23×C53—81no—
683C23×C53—81no—
684C23×C53C22×D411yescharacteristic
685C22×D53—21no—
686C22×D53—21no—
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—42no—
696Q8×C53—81no—
697D4×C53—21no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—21no—
701D4×C53—42no—
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—41no—
711C2×C4×C53—41no—
712C2×C4×C53—42no—
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C22×D411yescharacteristic
718C2×C4×C53C2511yescharacteristic
719C22⋊D53—42no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C22⋊D53—81no—
724C22⋊D53—81no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—81no—
732C2×Dic53—81no—
733C2×Dic53—81no—
734C2×Dic53—81no—
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743D212—21no—
744D212—21no—
745D212—21no—
746D212—21no—
747C4×D53—42no—
748C4×D53—42no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—21no—
757Dic106—41no—
758Dic106—41no—
759Dic106—41no—
760Dic106—41no—
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×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—162no—
782C22×C53C23×D411yescharacteristic
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—41no—
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#58511yescharacteristic
801C4×C53#58511yescharacteristic
802Dic53—21no—
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—41no—
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#3223—531no—
837#3222—531no—
838#3215D5311yescharacteristic, complemented
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—81no—
850C2×C53#348711yescharacteristic
851C2×C53#358411yescharacteristic
852C2×C53#358611yescharacteristic
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—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533C2×D5311yescharacteristic
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124C2×D5311yescharacteristic
897#519—531no—
898#518—531no—
899C4×#41—531no—
900#497—531no—
901#497—531no—
902#497—531no—
903#497C2×D5311yescharacteristic
904#497C2×D5311yescharacteristic
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489C2×D5311yescharacteristic
917#489C2×D5311yescharacteristic
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
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#464C2×D5311yescharacteristic
952#464C2×D5311yescharacteristic
953#464C2×D5311yescharacteristic
954#464C2×D5311yescharacteristic
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#462—531no—
967#462—531no—
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#452—531no—
978#452—531no—
979#451—531no—
980#451C2×D5311yescharacteristic
981#451C2×D5311yescharacteristic
982#450—531no—
983#450C2×D5311yescharacteristic
984#450C2×D5311yescharacteristic
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#433—531no—
1024#432C2×D5311yescharacteristic
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41—531no—
1028C22×Q8C22×D5311yescharacteristic
1029C22×D4C22×D5311yescharacteristic
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
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×SD16C22×D5311yescharacteristic
1048C2×SD16C22×D5311yescharacteristic
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—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8C22×D5311yescharacteristic
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127—531no—
1071#126—1061no—
1072#126—1061no—
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—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#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125—1061no—
1108#125—1061no—
1109#124—21no—
1110#124—21no—
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#124C22×D5311yescharacteristic
1125#124C22×D5311yescharacteristic
1126#124C22×D5311yescharacteristic
1127#124C22×D5311yescharacteristic
1128#123—1061no—
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—
1141C22⋊Q8—21no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—1061no—
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—21no—
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—531no—
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—21no—
1213#117—531no—
1214#117—531no—
1215#117—531no—
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#117—1061no—
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—1061no—
1233C2×C42C22×D5311yescharacteristic
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#103—531no—
1267#103—531no—
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#102C22×D5311yescharacteristic
1283#102C22×D5311yescharacteristic
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#97C22×D5311yescharacteristic
1295#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8—531no—
1302C24—21no—
1303#41—2121no—
1304#41—2121no—
1305C2×Q8—21no—
1306C2×Q8—21no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—531no—
1314C2×Q8—531no—
1315C2×Q8—1061no—
1316C2×Q8—1061no—
1317C2×Q8C23×D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—531no—
1325C2×D4—531no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—1061no—
1331C2×D4—1061no—
1332C2×D4C23×D5311yescharacteristic
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—1061no—
1336C22×C4—1061no—
1337C22×C4—1061no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4D4×D5311yescharacteristic
1346C22×C4D4×D5311yescharacteristic
1347C22×C4C23×D5311yescharacteristic
1348Q16—41no—
1349Q16—41no—
1350Q16—41no—
1351Q16—41no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—41no—
1360SD16—41no—
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—531no—
1388C4⋊C4—531no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
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—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
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⋊C4—1061no—
1436C4⋊C4—1061no—
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—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—531no—
1452C22⋊C4—531no—
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⋊C4—1061no—
1478C22⋊C4—1061no—
1479C42—21no—
1480C42—21no—
1481C42—531no—
1482C42—531no—
1483C42—531no—
1484C42—531no—
1485C42—1061no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42D4×D5311yescharacteristic
1500C42D4×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—42no—
1506C23—81no—
1507C23—81no—
1508C23—1061no—
1509C23—1061no—
1510C23C2×D4×D5311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—42no—
1520Q8—81no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2121no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—42no—
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—41no—
1555C2×C4—41no—
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—1061no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—4241no—
1577C2×C4—4241no—
1578C2×C4—4241no—
1579C2×C4—2122no—
1580C2×C4—2122no—
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—41no—
1602C22—41no—
1603C22—41no—
1604C22—162no—
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—1061no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145811yescharacteristic
1638C4#1681145811yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—81no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028837111yescharacteristic
1645C2#2028948811yescharacteristic
1646C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3215C2
socleC22×C53C23×D4
prime radical#20285813C2
hypercenter#3215D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3215

Complements

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

NH ≅ G/Ntype
1. #20289197C2semidirect
2. #20288609C2semidirect
3. #20287794C2semidirect
4. #20287791C2semidirect
5. #20287785C2semidirect
6. #20287780C2semidirect
7. #20287765C2semidirect
8. #20287743C2semidirect
9. #20287706C2semidirect
10. #20287698C2semidirect
11. #20287561C2semidirect
12. #20287541C2semidirect
13. #20287526C2semidirect
14. #20287487C2semidirect
15. #20287467C2semidirect
16. #20287452C2semidirect
17. #20287406C2semidirect
18. #20287395C2semidirect
19. #20285830C2semidirect
21. #20285794C2semidirect
22. #20285783C2semidirect
23. #20285680C2semidirect
24. #20285009C2semidirect
25. #20284961C2semidirect
26. #20284945C2semidirect
27. #20284900C2semidirect
28. #20284826C2semidirect
29. #20284780C2semidirect
30. #20283812C2semidirect
31. C53×#3215C2semidirect
38. #16811353C22semidirect
39. #16811349C22semidirect
40. #16811349C22semidirect
41. #16811348C22semidirect
42. #16811347C22semidirect
43. #16811345C22semidirect
44. #16811345C22semidirect
50. #16811334C22semidirect
75. #16811016C22semidirect
76. #16811016C22semidirect
79. #16811008C22semidirect
83. #16811001C22semidirect
85. #16810990C22semidirect
87. #16810984C22semidirect
89. #16810979C22semidirect
93. #16810972C22semidirect
99. #16810932C22semidirect
100. #16810931C22semidirect
101. #16810928C22semidirect
103. #16810924C22semidirect
105. #16810916C22semidirect
107. #16810906C22semidirect
108. #16810905C22semidirect
110. #16810900C22semidirect
111. #16810848C22semidirect
112. #16810847C22semidirect
113. #16810847C22semidirect
114. #16810847C22semidirect
115. #16810847C22semidirect
116. #16810846C22semidirect
122. #16810841C22semidirect
125. #16810839C22semidirect
129. #16810832C22semidirect
130. #16810831C22semidirect
131. #16810831C22semidirect
132. #16810831C22semidirect
133. #16810831C22semidirect
134. #16810830C22semidirect
135. #16810827C22semidirect
138. #16810825C22semidirect
151. #16810751C22semidirect
152. #16810751C22semidirect
153. #16810751C22semidirect
154. #16810751C22semidirect
155. #16810750C22semidirect
156. #16810750C22semidirect
157. #16810747C22semidirect
158. #16810747C22semidirect
159. #16810736C22semidirect
161. #16810731C22semidirect
162. #16810730C22semidirect
163. #16810730C22semidirect
164. #16810727C22semidirect
165. #16810726C22semidirect
166. #16810725C22semidirect
167. #16810725C22semidirect
171. Q16×Dic53C22semidirect
172. Q16×Dic53C22semidirect
173. C4×#11719925C22semidirect
174. C4×#11719925C22semidirect
175. #16810715C22semidirect
179. C4×#11719924C22semidirect
180. C4×#11719924C22semidirect
181. #16810708C22semidirect
838. #3215D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202891972
#202886092
#202877942
#202877912
#202877852
#202877802
#202877652
#202877432
#202877062
#202876982
#202875612
#202875412
#202875262
#202874872
#202874672
#202874522
#202874062
#202873952
#202858302
#202858132
#202857942
#202857832
#202856802
#202850092
#202849612
#202849452
#202849002
#202848262
#202847802
#202838122
C53×#32152
#6192553