Finite Group Databasebeta

← #28281300

Subgroups — #28281300

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289354C211yesmaximal, characteristic, complemented
2#20288656C211yesmaximal, characteristic, complemented
3#20287672C211yesmaximal, characteristic, complemented
4#20287588C211yesmaximal, characteristic, complemented
5#20287480C211yesmaximal, characteristic, complemented
6#20287372C211yesmaximal, characteristic, complemented
7#20287311C211yesmaximal, characteristic, complemented
8#20287273C211yesmaximal, characteristic, complemented
9#20287270C211yesmaximal, characteristic, complemented
10#20287240C211yesmaximal, characteristic, complemented
11#20287155C211yesmaximal, characteristic, complemented
12#20287115C211yesmaximal, characteristic, complemented
13#20286939C211yesmaximal, characteristic, complemented
14#20286917C211yesmaximal, characteristic, complemented
15#20286871C211yesmaximal, characteristic, complemented
16#20286857C211yesmaximal, characteristic, complemented
17#20286543C211yesmaximal, characteristic, complemented
18#20286174C211yesmaximal, characteristic, complemented
19#20286121C211yesmaximal, characteristic, complemented
20#20286117C211yesmaximal, characteristic, complemented
21#20286006C211yesmaximal, characteristic, complemented
22#20285972C211yesmaximal, characteristic, complemented
23#20285897C211yesmaximal, characteristic, complemented
24#20284985C211yesmaximal, characteristic, complemented
25#20284905C211yesmaximal, characteristic, complemented
26#20284763C211yesmaximal, characteristic, complemented
27#20284570C211yesmaximal, characteristic, complemented
28#20284545C211yesmaximal, characteristic, complemented
29#20284509C211yesmaximal, characteristic, complemented
30#20283861C211yesmaximal, characteristic, complemented
31C53×#3323C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811370—21no—
34#16811355C2211yescharacteristic
35#16811352C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic
37#16811341—21no—
38#16811338C2211yescharacteristic, complemented
39#16811330C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811325—21no—
42#16811325C2211yescharacteristic
43#16811321C2211yescharacteristic, complemented
44#16811317C2211yescharacteristic
45#16811315C2211yescharacteristic
46#16811311—21no—
47#16811307C2211yescharacteristic, complemented
48#16811299—21no—
49#16811296—21no—
50#16811277C2211yescharacteristic
51#16811261C2211yescharacteristic
52#16811260—21no—
53D4×C22⋊D53C2211yescharacteristic
54#16811254C2211yescharacteristic, complemented
55#16811253C2211yescharacteristic, complemented
56#16811246C2211yescharacteristic, complemented
57#16811245C2211yescharacteristic, complemented
58#16811244—21no—
59#16811242C2211yescharacteristic
60#16811239—21no—
61#16811232—21no—
62#16811226C2211yescharacteristic
63#16811217—21no—
64#16811216—21no—
65#16811210—21no—
66#16811176C2211yescharacteristic, complemented
67#16811159C2211yescharacteristic
68#16811159C2211yescharacteristic, complemented
69#16811153C2211yescharacteristic
70#16811129—21no—
71C2×#13133201—21no—
72#16811106C2211yescharacteristic
73#16811095C2211yescharacteristic
74C2×D4×Dic53C2211yescharacteristic
75#16811033C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811024C2211yescharacteristic, complemented
78#16811023C2211yescharacteristic, complemented
79#16811023C2211yescharacteristic, complemented
80#16811021C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic
82#16810982C2211yescharacteristic, complemented
83#16810979C2211yescharacteristic, complemented
84#16810979C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic
86#16810963C2211yescharacteristic, complemented
87#16810962C2211yescharacteristic, complemented
88#16810961C2211yescharacteristic, complemented
89#16810956C2211yescharacteristic, complemented
90#16810952C2211yescharacteristic, complemented
91#16810951C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic
94#16810948C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic
96#16810946C2211yescharacteristic
97#16810944C2211yescharacteristic, complemented
98#16810942C2211yescharacteristic, complemented
99#16810942C2211yescharacteristic, complemented
100#16810940C2211yescharacteristic
101#16810936C2211yescharacteristic, complemented
102#16810928C2211yescharacteristic, complemented
103#16810928C2211yescharacteristic, complemented
104#16810928C2211yescharacteristic, complemented
105#16810928C2211yescharacteristic, complemented
106#16810926C2211yescharacteristic, complemented
107#16810925C2211yescharacteristic
108#16810925C2211yescharacteristic
109#16810925C2211yescharacteristic
110#16810925C2211yescharacteristic, complemented
111#16810925C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic, complemented
113#16810922C2211yescharacteristic, complemented
114#16810921C2211yescharacteristic
115#16810921C2211yescharacteristic, complemented
116#16810920C2211yescharacteristic, complemented
117#16810918C2211yescharacteristic, complemented
118#16810916C2211yescharacteristic, complemented
119#16810916C2211yescharacteristic, complemented
120#16810914C2211yescharacteristic, complemented
121#16810912C2211yescharacteristic, complemented
122#16810911C2211yescharacteristic
123#16810911C2211yescharacteristic, complemented
124#16810906C2211yescharacteristic, complemented
125#16810904C2211yescharacteristic, complemented
126#16810903C2211yescharacteristic
127#16810902C2211yescharacteristic, complemented
128#16810901C2211yescharacteristic
129#16810901C2211yescharacteristic
130#16810901C2211yescharacteristic, complemented
131#16810876C2211yescharacteristic
132#16810876C2211yescharacteristic, complemented
133#16810872C2211yescharacteristic, complemented
134#16810871C2211yescharacteristic
135#16810871C2211yescharacteristic, complemented
136#16810866C2211yescharacteristic
137#16810861C2211yescharacteristic, complemented
138#16810858C2211yescharacteristic
139#16810857C2211yescharacteristic, complemented
140#16810854C2211yescharacteristic, complemented
141#16810847C2211yescharacteristic, complemented
142#16810847C2211yescharacteristic, complemented
143#16810841C2211yescharacteristic, complemented
144#16810841C2211yescharacteristic, complemented
145#16810840C2211yescharacteristic
146#16810840C2211yescharacteristic, complemented
147#16810835C2211yescharacteristic, complemented
148#16810821C2211yescharacteristic
149#16810817C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810768C2211yescharacteristic
152#16810758C2211yescharacteristic
153#16810757C2211yescharacteristic
154#16810752C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156#16810733C2211yescharacteristic
157#16810732C2211yescharacteristic
158#16810730C2211yescharacteristic, complemented
159#16810721C2211yescharacteristic, complemented
160SD16×Dic53C2211yescharacteristic
161SD16×Dic53C2211yescharacteristic
162SD16×Dic53C2211yescharacteristic, complemented
163#16810708C2211yescharacteristic, complemented
164C4×D424C2211yescharacteristic, complemented
165#16810703C2211yescharacteristic
166#16810703C2211yescharacteristic, complemented
167#16810699C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic
169#16810695C2211yescharacteristic, complemented
170#16810692C2211yescharacteristic
171#16810686C2211yescharacteristic, complemented
172#16810682C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810673C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810665C2211yescharacteristic, complemented
177#16810665C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810658C2211yescharacteristic, complemented
180C2×#13133150C2211yescharacteristic, complemented
181#16810651C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810646C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic
185#16810626C2211yescharacteristic
186#16810619C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#552C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic
194C53×#470C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic
198C53×#450C2211yescharacteristic
199C4×SD16×C53C2211yescharacteristic
200C53×#436C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic
202C53×#417C2211yescharacteristic
203C2×#11719947—21no—
204C22×C22⋊D53—21no—
205C2×D4×D53C2311yescharacteristic
206C23×Dic53—21no—
207C2×#11719924C2311yescharacteristic
208C2×#11719924C2311yescharacteristic
209C2×D424C2311yescharacteristic
210C2×#11719922C2311yescharacteristic
211C2×#11719922C2311yescharacteristic
212C2×#11719917C2311yescharacteristic
213C2×#11719912C2311yescharacteristic
214C22×#88322C2311yescharacteristic
215C2×C8×D53C2311yescharacteristic
216#13133217—21no—
217#13133217C2311yescharacteristic
218#13133217C2311yescharacteristic
219#13133216—21no—
220#13133216—21no—
221#13133216C2311yescharacteristic
222#13133216C2311yescharacteristic
223#13133216C2311yescharacteristic
224#13133213C2311yescharacteristic
225#13133212—21no—
226#13133212—21no—
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212D411yescharacteristic
232#13133211—21no—
233#13133211—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210—21no—
237#13133210—21no—
238#13133210D411yescharacteristic
239#13133208—21no—
240#13133208—21no—
241#13133208—21no—
242#13133208—21no—
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133207—21no—
250#13133207—21no—
251#13133207D411yescharacteristic
252#13133206C2311yescharacteristic
253#13133206C2311yescharacteristic
254#13133205—21no—
255#13133203—21no—
256#13133203—21no—
257#13133203—21no—
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203D411yescharacteristic
262#13133202—21no—
263#13133202—21no—
264#13133201—21no—
265#13133201—21no—
266#13133201—21no—
267#13133201—21no—
268#13133201—21no—
269#13133201—21no—
270#13133201—21no—
271#13133201—21no—
272#13133201—21no—
273#13133201D411yescharacteristic
274#13133200—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133198D411yescharacteristic
281#13133197—21no—
282#13133197—21no—
283#13133197—21no—
284#13133197—21no—
285#13133196—21no—
286#13133196—21no—
287#13133196—21no—
288#13133195—21no—
289#13133195—21no—
290#13133195—21no—
291#13133195—21no—
292#13133194—21no—
293#13133194—21no—
294#13133194—21no—
295#13133194—21no—
296#13133194—21no—
297#13133194D411yescharacteristic
298#13133193C2311yescharacteristic
299#13133193C2311yescharacteristic
300#13133192C2311yescharacteristic
301#13133191—21no—
302#13133191C2311yescharacteristic
303#13133191C2311yescharacteristic
304#13133191C2311yescharacteristic
305#13133191C2311yescharacteristic
306#13133190—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133189—21no—
311#13133189D411yescharacteristic
312#13133188—21no—
313#13133188—21no—
314#13133188C2311yescharacteristic
315#13133186—21no—
316#13133185—21no—
317#13133185—21no—
318Q8×Dic53C2311yescharacteristic
319Q8×Dic53C2311yescharacteristic
320Q8×Dic53C2311yescharacteristic
321Q8×Dic53C2311yescharacteristic
322C4×Dic106—21no—
323C4×Dic106—21no—
324C4×Dic106—21no—
325C4×Dic106C2311yescharacteristic
326#13133182—21no—
327C4×D212—21no—
328C4×D212C2311yescharacteristic
329C4×D212C2311yescharacteristic
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53—21no—
334D4×Dic53—21no—
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53C2311yescharacteristic
346C4×C22⋊D53C2311yescharacteristic
347#13133177—21no—
348#13133177—21no—
349#13133177—21no—
350#13133177—21no—
351#13133176—21no—
352#13133176C2311yescharacteristic
353#13133176C2311yescharacteristic
354#13133176C2311yescharacteristic
355#13133175—21no—
356#13133175—21no—
357#13133175—21no—
358#13133175—21no—
359#13133175C2311yescharacteristic
360#13133175C2311yescharacteristic
361#13133174C2311yescharacteristic
362#13133173—21no—
363C2×C4⋊Dic53—21no—
364C2×C4⋊Dic53—21no—
365C2×C4⋊Dic53C2311yescharacteristic
366C2×C4⋊Dic53C2311yescharacteristic
367C4⋊C4×D53—21no—
368C4⋊C4×D53C2311yescharacteristic
369C2×C22⋊Dic53—21no—
370C2×#11719921—21no—
371C2×#11719921—21no—
372C22⋊C4×D53—21no—
373C2×C4×Dic53C2311yescharacteristic
374#13133151C2311yescharacteristic
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133149C2311yescharacteristic
390#13133149C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133127C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C22×D4×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×M16×C53C2311yescharacteristic
441C2×M16×C53C2311yescharacteristic
442#126×C53—21no—
443#125×C53—21no—
444#125×C53C2311yescharacteristic
445#124×C53C2311yescharacteristic
446#123×C53—21no—
447#123×C53—21no—
448C22⋊Q8×C53C2311yescharacteristic
449C22⋊Q8×C53C2311yescharacteristic
450C22⋊Q8×C53C2311yescharacteristic
451#121×C53—21no—
452#121×C53C2311yescharacteristic
453#120×C53—21no—
454C4×Q8×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457#117×C53—21no—
458#117×C53C2311yescharacteristic
459C2×C4⋊C4×C53C2311yescharacteristic
460C2×C22⋊C4×C53—21no—
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#103×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C24×C53—21no—
479C23×D53—21no—
480#41×C53—22no—
481#41×C53—41no—
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53—22no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—41no—
489C2×D4×C53C2×D411yescharacteristic
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53C2411yescharacteristic
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—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—82no—
506C2×C22⋊D53C2×D411yescharacteristic
507C2×C22⋊D53C2×D411yescharacteristic
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53—82no—
516C22×Dic53C2×D411yescharacteristic
517C22×Dic53C2×D411yescharacteristic
518#11719947—82no—
519D4×D53—22no—
520D4×D53—41no—
521C2×D212—21no—
522C2×D212C2411yescharacteristic
523C2×D212C2411yescharacteristic
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53C2411yescharacteristic
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106—21no—
536C2×Dic106C2×D411yescharacteristic
537Q16×C53—41no—
538SD16×C53—22no—
539SD16×C53—41no—
540M16×C53—41no—
541M16×C53—41no—
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C2×C8×C53C2411yescharacteristic
545C2×C8×C53C2411yescharacteristic
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C22⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
567C22⋊C4×C53C2×D411yescharacteristic
568C42×C53—21no—
569C42×C53—21no—
570C42×C53C2411yescharacteristic
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53C2×D411yescharacteristic
580C22⋊Dic53C2×D411yescharacteristic
581C22⋊Dic53C2×D411yescharacteristic
582C22⋊Dic53C2×D411yescharacteristic
583#11719924—41no—
584#11719924—41no—
585#11719922—22no—
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—
603#11719921—21no—
604#11719921—21no—
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
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⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2×D411yescharacteristic
625C4⋊Dic53C2×D411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
629C4⋊Dic53C2411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
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#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53C2×D411yescharacteristic
659C4×Dic53C2×D411yescharacteristic
660C4×Dic53C2411yescharacteristic
661C4×Dic53C2411yescharacteristic
662C4×Dic53C2411yescharacteristic
663#11719917—41no—
664C2×#88322—41no—
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669D424—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—42no—
675C23×C53—42no—
676C23×C53—81no—
677C23×C53C22×D411yescharacteristic
678C23×C53C22×D411yescharacteristic
679C22×D53—21no—
680C22×D53—21no—
681C22×D53—42no—
682C22×D53—81no—
683C22×D53—81no—
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689D4×C53—21no—
690D4×C53—21no—
691D4×C53—21no—
692D4×C53—41no—
693D4×C53—42no—
694D4×C53—42no—
695D4×C53—81no—
696D4×C532−1+412yes—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
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—42no—
708C2×C4×C53—81no—
709C2×C4×C53—81no—
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C2511yescharacteristic
715C22⋊D53—41no—
716C22⋊D53—41no—
717C22⋊D53—42no—
718C22⋊D53—42no—
719C22⋊D53—81no—
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—41no—
732C2×Dic53—41no—
733C2×Dic53—42no—
734C2×Dic53—81no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53—81no—
739C2×Dic53—81no—
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747D212—21no—
748D212—21no—
749D212—21no—
750D212—21no—
751D212—81no—
752C4×D53—21no—
753C4×D53—21no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760Dic106—41no—
761Dic106—81no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—22no—
780C22×C53—21no—
781C22×C53—21no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53—41no—
787C22×C53—84no—
788C22×C53C23×D411yescharacteristic
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—21no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53C2×2−1+411yescharacteristic
810C4×C53#58511yescharacteristic
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323D5311yescharacteristic, complemented
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—42no—
856C2×C53—41no—
857C2×C53—41no—
858C2×C53—81no—
859C2×C53#348911yescharacteristic
860C2×C53#358411yescharacteristic
861C2×C53#358511yescharacteristic
862D53—41no—
863D53—81no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—1061no—
881#552C2×D5311yescharacteristic, complemented
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—1061no—
887#546C2×D5311yescharacteristic
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488C2×D5311yescharacteristic, complemented
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485C2×D5311yescharacteristic, complemented
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481C2×D5311yescharacteristic, complemented
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478—531no—
955#478C2×D5311yescharacteristic
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470C2×D5311yescharacteristic, complemented
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468C2×D5311yescharacteristic, complemented
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464C2×D5311yescharacteristic, complemented
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452C2×D5311yescharacteristic
993#450—531no—
994#450C2×D5311yescharacteristic
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16C2×D5311yescharacteristic
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436C2×D5311yescharacteristic, complemented
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418C2×D5311yescharacteristic
1033#417C2×D5311yescharacteristic
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—1061no—
1038C2×#41C22×D5311yescharacteristic
1039C22×D4—531no—
1040C22×D4—1061no—
1041C22×D4C22×D5311yescharacteristic
1042C23×C4—1061no—
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16C22×D5311yescharacteristic
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8—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—
1065#127—531no—
1066#126—21no—
1067#126—531no—
1068#126—531no—
1069#126—1061no—
1070#126—1061no—
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#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—531no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—1061no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124C22×D5311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—531no—
1110#123—531no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—1061no—
1132C22⋊Q8—1061no—
1133C22⋊Q8—1061no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8C22×D5311yescharacteristic
1148C22⋊Q8C22×D5311yescharacteristic
1149C22⋊Q8C22×D5311yescharacteristic
1150#121—21no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121C22×D5311yescharacteristic
1167#120—21no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—531no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—1061no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—21no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
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#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
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
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103C22×D5311yescharacteristic
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8C22×D5311yescharacteristic
1312C24—21no—
1313C24—1061no—
1314#41—22no—
1315#41—41no—
1316#41—4242no—
1317C2×Q8—531no—
1318C2×Q8—1061no—
1319C2×Q8—1061no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8C23×D5311yescharacteristic
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—41no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—531no—
1333C2×D4—531no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1062no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—4242no—
1345C2×D4—2121no—
1346C2×D4D4×D5311yescharacteristic
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—531no—
1353C22×C4—531no—
1354C22×C4—531no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—4242no—
1369C22×C4C23×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—41no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—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⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4D4×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—531no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—531no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—531no—
1512C23—1061no—
1513C23—1061no—
1514C23—4241no—
1515C23—4241no—
1516C23—2122no—
1517C23C2×D4×D5311yescharacteristic
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—4241no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—41no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—4241no—
1547D4—2121no—
1548D4—2121no—
1549D4—2122no—
1550D4—2122no—
1551D4#1313326412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—4241no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—2121no—
1593C2×C4—2121no—
1594C2×C4—2122no—
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—8482no—
1622C22—1061no—
1623C22—1061no—
1624C22—1061no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326411yescharacteristic
1656C4#1681145811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—4241no—
1662C2—4241no—
1663C2—2121no—
1664C2#2028838611yescharacteristic
1665C2#2028948711yescharacteristic
1666C2#2028949211yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3323C2
socleC22×C53C23×D4
hypercenter#3323D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #20289354C2semidirect
2. #20288656C2semidirect
3. #20287672C2semidirect
4. #20287588C2semidirect
5. #20287480C2semidirect
6. #20287372C2semidirect
7. #20287311C2semidirect
8. #20287273C2semidirect
9. #20287270C2semidirect
10. #20287240C2semidirect
11. #20287155C2semidirect
12. #20287115C2semidirect
13. #20286939C2semidirect
14. #20286917C2semidirect
15. #20286871C2semidirect
16. #20286857C2semidirect
17. #20286543C2semidirect
18. #20286174C2semidirect
19. #20286121C2semidirect
20. #20286117C2semidirect
21. #20286006C2semidirect
22. #20285972C2semidirect
23. #20285897C2semidirect
24. #20284985C2semidirect
25. #20284905C2semidirect
26. #20284763C2semidirect
27. #20284570C2semidirect
28. #20284545C2semidirect
29. #20284509C2semidirect
30. #20283861C2semidirect
31. C53×#3323C2semidirect
35. #16811352C22semidirect
38. #16811338C22semidirect
40. #16811329C22semidirect
43. #16811321C22semidirect
47. #16811307C22semidirect
54. #16811254C22semidirect
55. #16811253C22semidirect
56. #16811246C22semidirect
57. #16811245C22semidirect
66. #16811176C22semidirect
68. #16811159C22semidirect
75. #16811033C22semidirect
76. #16811030C22semidirect
77. #16811024C22semidirect
78. #16811023C22semidirect
79. #16811023C22semidirect
80. #16811021C22semidirect
82. #16810982C22semidirect
83. #16810979C22semidirect
84. #16810979C22semidirect
86. #16810963C22semidirect
87. #16810962C22semidirect
88. #16810961C22semidirect
89. #16810956C22semidirect
90. #16810952C22semidirect
91. #16810951C22semidirect
92. #16810949C22semidirect
94. #16810948C22semidirect
97. #16810944C22semidirect
98. #16810942C22semidirect
99. #16810942C22semidirect
101. #16810936C22semidirect
102. #16810928C22semidirect
103. #16810928C22semidirect
104. #16810928C22semidirect
105. #16810928C22semidirect
106. #16810926C22semidirect
110. #16810925C22semidirect
111. #16810925C22semidirect
112. #16810922C22semidirect
113. #16810922C22semidirect
115. #16810921C22semidirect
116. #16810920C22semidirect
117. #16810918C22semidirect
118. #16810916C22semidirect
119. #16810916C22semidirect
120. #16810914C22semidirect
121. #16810912C22semidirect
123. #16810911C22semidirect
124. #16810906C22semidirect
125. #16810904C22semidirect
127. #16810902C22semidirect
130. #16810901C22semidirect
132. #16810876C22semidirect
133. #16810872C22semidirect
135. #16810871C22semidirect
137. #16810861C22semidirect
139. #16810857C22semidirect
140. #16810854C22semidirect
141. #16810847C22semidirect
142. #16810847C22semidirect
143. #16810841C22semidirect
144. #16810841C22semidirect
146. #16810840C22semidirect
147. #16810835C22semidirect
154. #16810752C22semidirect
155. C8×Dic106C22semidirect
158. #16810730C22semidirect
159. #16810721C22semidirect
162. SD16×Dic53C22semidirect
163. #16810708C22semidirect
164. C4×D424C22semidirect
166. #16810703C22semidirect
167. #16810699C22semidirect
169. #16810695C22semidirect
171. #16810686C22semidirect
172. #16810682C22semidirect
173. #16810681C22semidirect
174. #16810673C22semidirect
175. #16810666C22semidirect
176. #16810665C22semidirect
177. #16810665C22semidirect
178. #16810664C22semidirect
179. #16810658C22semidirect
180. C2×#13133150C22semidirect
181. #16810651C22semidirect
182. #16810648C22semidirect
183. #16810646C22semidirect
188. C53×#552C22semidirect
190. C53×#488C22semidirect
191. C53×#485C22semidirect
192. C53×#481C22semidirect
194. C53×#470C22semidirect
195. C53×#468C22semidirect
196. C53×#464C22semidirect
200. C53×#436C22semidirect
837. #3323D53semidirect
881. #552C2×D53semidirect
920. #488C2×D53semidirect
925. #485C2×D53semidirect
938. #481C2×D53semidirect
970. #470C2×D53semidirect
977. #468C2×D53semidirect
984. #464C2×D53semidirect
1014. #436C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893542
#202886562
#202876722
#202875882
#202874802
#202873722
#202873112
#202872732
#202872702
#202872402
#202871552
#202871152
#202869392
#202869172
#202868712
#202868572
#202865432
#202861742
#202861212
#202861172
#202860062
#202859722
#202858972
#202849852
#202849052
#202847632
#202845702
#202845452
#202845092
#202838612
C53×#33232
#6217553