Finite Group Databasebeta

← #28281310

Subgroups — #28281310

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#20289363C211yesmaximal, characteristic, complemented
2#20288644C211yesmaximal, characteristic, complemented
3#20287673C211yesmaximal, characteristic, complemented
4#20287591C211yesmaximal, characteristic, complemented
5#20287487C211yesmaximal, characteristic, complemented
6#20287372C211yesmaximal, characteristic, complemented
7#20287308C211yesmaximal, characteristic, complemented
8#20287278C211yesmaximal, characteristic, complemented
9#20287275C211yesmaximal, characteristic, complemented
10#20287251C211yesmaximal, characteristic, complemented
11#20287161C211yesmaximal, characteristic, complemented
12#20287118C211yesmaximal, characteristic, complemented
13#20286939C211yesmaximal, characteristic, complemented
14#20286924C211yesmaximal, characteristic, complemented
15#20286916C211yesmaximal, characteristic, complemented
16#20286867C211yesmaximal, characteristic, complemented
17#20286852C211yesmaximal, characteristic, complemented
18#20286177C211yesmaximal, characteristic, complemented
19#20286129C211yesmaximal, characteristic, complemented
20#20286114C211yesmaximal, characteristic, complemented
21#20286017C211yesmaximal, characteristic, complemented
22#20285966C211yesmaximal, characteristic, complemented
23#20285889C211yesmaximal, characteristic, complemented
24#20284985C211yesmaximal, characteristic, complemented
25#20284900C211yesmaximal, characteristic, complemented
26#20284766C211yesmaximal, characteristic, complemented
27#20284564C211yesmaximal, characteristic, complemented
28#20284542C211yesmaximal, characteristic, complemented
29#20284510C211yesmaximal, characteristic, complemented
30#20283865C211yesmaximal, characteristic, complemented
31C53×#3296C211yesmaximal, characteristic, complemented
32#16811377—21no—
33#16811370—21no—
34#16811355C2211yescharacteristic
35#16811349C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic
37#16811340—21no—
38#16811336C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811321C2211yescharacteristic
42#16811319C2211yescharacteristic
43#16811319C2211yescharacteristic, complemented
44#16811316—21no—
45#16811315C2211yescharacteristic, complemented
46#16811312—21no—
47#16811307C2211yescharacteristic
48#16811299—21no—
49#16811296—21no—
50#16811273C2211yescharacteristic
51#16811261C2211yescharacteristic
52#16811260—21no—
53D4×C22⋊D53C2211yescharacteristic
54#16811254C2211yescharacteristic, complemented
55#16811251C2211yescharacteristic, complemented
56#16811246C2211yescharacteristic
57#16811246C2211yescharacteristic, complemented
58#16811246C2211yescharacteristic, complemented
59#16811244—21no—
60#16811241—21no—
61#16811236—21no—
62#16811226C2211yescharacteristic
63#16811217—21no—
64#16811214—21no—
65#16811208—21no—
66#16811179C2211yescharacteristic, complemented
67#16811160C2211yescharacteristic, complemented
68#16811155C2211yescharacteristic
69#16811152C2211yescharacteristic
70#16811133—21no—
71C2×#13133199—21no—
72#16811106C2211yescharacteristic
73#16811098C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811025C2211yescharacteristic, complemented
78#16811023C2211yescharacteristic, complemented
79#16811022C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic
82#16810984C2211yescharacteristic, complemented
83#16810979C2211yescharacteristic, complemented
84#16810977C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic
86#16810963C2211yescharacteristic, complemented
87#16810962C2211yescharacteristic, complemented
88#16810961C2211yescharacteristic, complemented
89#16810961C2211yescharacteristic, complemented
90#16810957C2211yescharacteristic, complemented
91#16810951C2211yescharacteristic, complemented
92#16810948C2211yescharacteristic
93#16810948C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic, complemented
95#16810946C2211yescharacteristic
96#16810945C2211yescharacteristic
97#16810943C2211yescharacteristic, complemented
98#16810942C2211yescharacteristic, complemented
99#16810942C2211yescharacteristic, complemented
100#16810941C2211yescharacteristic
101#16810934C2211yescharacteristic, complemented
102#16810932C2211yescharacteristic, complemented
103#16810932C2211yescharacteristic, complemented
104#16810932C2211yescharacteristic, complemented
105#16810930C2211yescharacteristic, complemented
106#16810925C2211yescharacteristic
107#16810925C2211yescharacteristic, complemented
108#16810924C2211yescharacteristic, complemented
109#16810924C2211yescharacteristic, complemented
110#16810923C2211yescharacteristic
111#16810922C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic, complemented
113#16810921C2211yescharacteristic
114#16810921C2211yescharacteristic
115#16810921C2211yescharacteristic, complemented
116#16810920C2211yescharacteristic, complemented
117#16810916C2211yescharacteristic, complemented
118#16810916C2211yescharacteristic, complemented
119#16810916C2211yescharacteristic, complemented
120#16810912C2211yescharacteristic, complemented
121#16810911C2211yescharacteristic
122#16810911C2211yescharacteristic, complemented
123#16810911C2211yescharacteristic, complemented
124#16810906C2211yescharacteristic, complemented
125#16810902C2211yescharacteristic, complemented
126#16810902C2211yescharacteristic, complemented
127#16810901C2211yescharacteristic
128#16810901C2211yescharacteristic
129#16810901C2211yescharacteristic
130#16810901C2211yescharacteristic, complemented
131#16810878C2211yescharacteristic, complemented
132#16810875C2211yescharacteristic
133#16810874C2211yescharacteristic, complemented
134#16810872C2211yescharacteristic, complemented
135#16810871C2211yescharacteristic
136#16810871C2211yescharacteristic, complemented
137#16810871C2211yescharacteristic, complemented
138#16810866C2211yescharacteristic
139#16810859C2211yescharacteristic
140#16810859C2211yescharacteristic, 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#16810750C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156#16810732C2211yescharacteristic
157#16810732C2211yescharacteristic
158#16810730C2211yescharacteristic, complemented
159#16810724C2211yescharacteristic, complemented
160SD16×Dic53C2211yescharacteristic
161SD16×Dic53C2211yescharacteristic
162C4×#11719924C2211yescharacteristic, complemented
163#16810708C2211yescharacteristic, complemented
164C4×D424C2211yescharacteristic, complemented
165C4×#11719922C2211yescharacteristic
166#16810703C2211yescharacteristic, complemented
167#16810701C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic
169#16810698C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic
171#16810694C2211yescharacteristic, complemented
172#16810681C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810674C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810663C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179#16810661C2211yescharacteristic, complemented
180C2×#13133151C2211yescharacteristic, complemented
181#16810649C2211yescharacteristic, complemented
182#16810649C2211yescharacteristic, complemented
183#16810645C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic
185#16810626C2211yescharacteristic
186#16810626C2211yescharacteristic
187#16810624C2211yescharacteristic
188C53×#552C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#483C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic
194C53×#467C2211yescharacteristic, complemented
195C53×#465C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic
198C53×#450C2211yescharacteristic
199C4×SD16×C53C2211yescharacteristic
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic
203C2×#11719947—21no—
204C22×C22⋊D53—21no—
205C2×D4×D53C2311yescharacteristic
206C22×C4×D53—21no—
207C2×#11719924C2311yescharacteristic
208C2×#11719924C2311yescharacteristic
209C2×D424C2311yescharacteristic
210C2×#11719922C2311yescharacteristic
211C2×#11719922C2311yescharacteristic
212C2×#11719917C2311yescharacteristic
213C2×#11719917C2311yescharacteristic
214C2×#11719912C2311yescharacteristic
215C2×#11719912C2311yescharacteristic
216#13133217—21no—
217#13133216—21no—
218#13133216—21no—
219#13133216C2311yescharacteristic
220#13133216C2311yescharacteristic
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#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210—21no—
237#13133210D411yescharacteristic
238#13133210D411yescharacteristic
239#13133209—21no—
240#13133209—21no—
241#13133209C2311yescharacteristic
242#13133209C2311yescharacteristic
243#13133208—21no—
244#13133208—21no—
245#13133208—21no—
246#13133208D411yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133208C2311yescharacteristic
251#13133207—21no—
252#13133206C2311yescharacteristic
253#13133206C2311yescharacteristic
254#13133205—21no—
255#13133204D411yescharacteristic
256#13133203—21no—
257#13133203—21no—
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133202—21no—
263#13133202—21no—
264#13133201—21no—
265#13133201—21no—
266#13133201—21no—
267#13133200—21no—
268#13133199—21no—
269#13133199—21no—
270#13133199—21no—
271#13133199—21no—
272#13133199—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199D411yescharacteristic
279#13133199D411yescharacteristic
280#13133198—21no—
281#13133197—21no—
282#13133197—21no—
283#13133197—21no—
284#13133197—21no—
285#13133197D411yescharacteristic
286#13133196—21no—
287#13133196—21no—
288#13133196—21no—
289#13133195—21no—
290#13133195—21no—
291#13133195—21no—
292#13133195—21no—
293#13133194—21no—
294#13133194—21no—
295#13133194—21no—
296#13133194—21no—
297#13133194—21no—
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#13133189—21no—
312#13133188—21no—
313#13133188D411yescharacteristic
314#13133188C2311yescharacteristic
315#13133186—21no—
316#13133185—21no—
317#13133185—21no—
318Q8×Dic53C2311yescharacteristic
319Q8×Dic53C2311yescharacteristic
320Q8×Dic53C2311yescharacteristic
321Q8×Dic53C2311yescharacteristic
322C4×Dic106—21no—
323C4×Dic106C2311yescharacteristic
324#13133182—21no—
325#13133182—21no—
326#13133182—21no—
327C4×D212—21no—
328C4×D212C2311yescharacteristic
329C4×D212C2311yescharacteristic
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53—21no—
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179C2311yescharacteristic
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53C2311yescharacteristic
345C4×C22⋊D53C2311yescharacteristic
346#13133177—21no—
347#13133177—21no—
348#13133177—21no—
349#13133177—21no—
350#13133177—21no—
351#13133176—21no—
352#13133176C2311yescharacteristic
353#13133176C2311yescharacteristic
354#13133176C2311yescharacteristic
355#13133176C2311yescharacteristic
356#13133175—21no—
357#13133175C2311yescharacteristic
358#13133175C2311yescharacteristic
359#13133174—21no—
360#13133174—21no—
361#13133173—21no—
362#13133173—21no—
363C2×C4⋊Dic53—21no—
364C2×C4⋊Dic53C2311yescharacteristic
365C2×C4⋊Dic53C2311yescharacteristic
366C2×#11719919—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53C2311yescharacteristic
369C2×C22⋊Dic53—21no—
370C2×C22⋊Dic53—21no—
371C2×#11719921—21no—
372C22⋊C4×D53—21no—
373C42×D53C2311yescharacteristic
374#13133151C2311yescharacteristic
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
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#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C22×D4×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C22×C8×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—
515#11719947—82no—
516D4×D53—22no—
517D4×D53—41no—
518C2×D212—21no—
519C2×D212C2411yescharacteristic
520C2×D212C2411yescharacteristic
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—82no—
528C2×C4×D53C2×D411yescharacteristic
529C2×C4×D53C2×D411yescharacteristic
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—
540C2×C8×C53—41no—
541C2×C8×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
583C22⋊Dic53C2×D411yescharacteristic
584C22⋊Dic53C2×D411yescharacteristic
585#11719924—41no—
586#11719924—41no—
587#11719922—22no—
588#11719922—41no—
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#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⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
629C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
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—
664#11719917—41no—
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669D424—41no—
670#11719912—41no—
671#11719912—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—42no—
675C23×C53—81no—
676C23×C53—81no—
677C23×C53C22×D411yescharacteristic
678C23×C53C22×D411yescharacteristic
679C22×D53—21no—
680C22×D53—21no—
681C22×D53—42no—
682C22×D53—42no—
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—81no—
732C2×Dic53—81no—
733C2×Dic53—81no—
734C2×Dic53—81no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745D212—21no—
746D212—21no—
747D212—21no—
748D212—21no—
749D212—81no—
750C4×D53—21no—
751C4×D53—21no—
752C4×D53—41no—
753C4×D53—41no—
754C4×D53—42no—
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—162no—
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—84no—
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#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296D5311yescharacteristic, complemented
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#485—531no—
926#484—531no—
927#483—531no—
928#483C2×D5311yescharacteristic, complemented
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482C2×D5311yescharacteristic, complemented
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
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#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467C2×D5311yescharacteristic, complemented
979#466—531no—
980#466—531no—
981#465C2×D5311yescharacteristic, complemented
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#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4C2×D5311yescharacteristic, complemented
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#418—531no—
1033#417—531no—
1034#416C2×D5311yescharacteristic
1035C2×#102C2×D5311yescharacteristic
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×M16—531no—
1054C2×M16—531no—
1055C22×C8C22×D5311yescharacteristic
1056C22×C8C22×D5311yescharacteristic
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—2121no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—531no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—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—81no—
1510C23—81no—
1511C23—531no—
1512C23—1061no—
1513C23—1061no—
1514C23—4241no—
1515C23—2122no—
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—162no—
1621C22—1061no—
1622C22—1061no—
1623C22—1061no—
1624C22—4244no—
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#2028948411yescharacteristic
1666C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3296C2
socleC22×C53C23×D4
hypercenter#3296D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #20289363C2semidirect
2. #20288644C2semidirect
3. #20287673C2semidirect
4. #20287591C2semidirect
5. #20287487C2semidirect
6. #20287372C2semidirect
7. #20287308C2semidirect
8. #20287278C2semidirect
9. #20287275C2semidirect
10. #20287251C2semidirect
11. #20287161C2semidirect
12. #20287118C2semidirect
13. #20286939C2semidirect
14. #20286924C2semidirect
15. #20286916C2semidirect
16. #20286867C2semidirect
17. #20286852C2semidirect
18. #20286177C2semidirect
19. #20286129C2semidirect
20. #20286114C2semidirect
21. #20286017C2semidirect
22. #20285966C2semidirect
23. #20285889C2semidirect
24. #20284985C2semidirect
25. #20284900C2semidirect
26. #20284766C2semidirect
27. #20284564C2semidirect
28. #20284542C2semidirect
29. #20284510C2semidirect
30. #20283865C2semidirect
31. C53×#3296C2semidirect
35. #16811349C22semidirect
38. #16811336C22semidirect
40. #16811329C22semidirect
43. #16811319C22semidirect
45. #16811315C22semidirect
54. #16811254C22semidirect
55. #16811251C22semidirect
57. #16811246C22semidirect
58. #16811246C22semidirect
66. #16811179C22semidirect
67. #16811160C22semidirect
75. #16811031C22semidirect
76. #16811030C22semidirect
77. #16811025C22semidirect
78. #16811023C22semidirect
79. #16811022C22semidirect
80. #16811020C22semidirect
82. #16810984C22semidirect
83. #16810979C22semidirect
84. #16810977C22semidirect
86. #16810963C22semidirect
87. #16810962C22semidirect
88. #16810961C22semidirect
89. #16810961C22semidirect
90. #16810957C22semidirect
91. #16810951C22semidirect
93. #16810948C22semidirect
94. #16810947C22semidirect
97. #16810943C22semidirect
98. #16810942C22semidirect
99. #16810942C22semidirect
101. #16810934C22semidirect
102. #16810932C22semidirect
103. #16810932C22semidirect
104. #16810932C22semidirect
105. #16810930C22semidirect
107. #16810925C22semidirect
108. #16810924C22semidirect
109. #16810924C22semidirect
111. #16810922C22semidirect
112. #16810922C22semidirect
115. #16810921C22semidirect
116. #16810920C22semidirect
117. #16810916C22semidirect
118. #16810916C22semidirect
119. #16810916C22semidirect
120. #16810912C22semidirect
122. #16810911C22semidirect
123. #16810911C22semidirect
124. #16810906C22semidirect
125. #16810902C22semidirect
126. #16810902C22semidirect
130. #16810901C22semidirect
131. #16810878C22semidirect
133. #16810874C22semidirect
134. #16810872C22semidirect
136. #16810871C22semidirect
137. #16810871C22semidirect
140. #16810859C22semidirect
141. #16810847C22semidirect
142. #16810847C22semidirect
143. #16810841C22semidirect
144. #16810841C22semidirect
146. #16810840C22semidirect
147. #16810835C22semidirect
154. #16810750C22semidirect
155. C8×Dic106C22semidirect
158. #16810730C22semidirect
159. #16810724C22semidirect
162. C4×#11719924C22semidirect
163. #16810708C22semidirect
164. C4×D424C22semidirect
166. #16810703C22semidirect
167. #16810701C22semidirect
169. #16810698C22semidirect
171. #16810694C22semidirect
172. #16810681C22semidirect
173. #16810681C22semidirect
174. #16810674C22semidirect
175. #16810666C22semidirect
176. #16810664C22semidirect
177. #16810663C22semidirect
178. #16810662C22semidirect
179. #16810661C22semidirect
180. C2×#13133151C22semidirect
181. #16810649C22semidirect
182. #16810649C22semidirect
183. #16810645C22semidirect
188. C53×#552C22semidirect
190. C53×#488C22semidirect
191. C53×#483C22semidirect
192. C53×#482C22semidirect
194. C53×#467C22semidirect
195. C53×#465C22semidirect
196. C53×#464C22semidirect
200. C8×D4×C53C22semidirect
841. #3296D53semidirect
881. #552C2×D53semidirect
920. #488C2×D53semidirect
928. #483C2×D53semidirect
934. #482C2×D53semidirect
978. #467C2×D53semidirect
981. #465C2×D53semidirect
984. #464C2×D53semidirect
1017. C8×D4C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893632
#202886442
#202876732
#202875912
#202874872
#202873722
#202873082
#202872782
#202872752
#202872512
#202871612
#202871182
#202869392
#202869242
#202869162
#202868672
#202868522
#202861772
#202861292
#202861142
#202860172
#202859662
#202858892
#202849852
#202849002
#202847662
#202845642
#202845422
#202845102
#202838652
C53×#32962
#6217553