Finite Group Databasebeta

← #28279575

Subgroups — #28279575

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289232C211yesmaximal, characteristic, complemented
2#20288725C211yesmaximal, characteristic, complemented
3#20287785C211yesmaximal, characteristic, complemented
4#20287782C211yesmaximal, characteristic, complemented
5#20287528C211yesmaximal, characteristic, complemented
6#20287526C211yesmaximal, characteristic, complemented
7#20286944C211yesmaximal, characteristic, complemented
8#20286940C211yesmaximal, characteristic, complemented
9#20286874C211yesmaximal, characteristic, complemented
10#20286867C211yesmaximal, characteristic, complemented
11#20286782C211yesmaximal, characteristic, complemented
12#20286372C211yesmaximal, characteristic, complemented
13#20286368C211yesmaximal, characteristic, complemented
14#20286223C211yesmaximal, characteristic, complemented
15#20286222C211yesmaximal, characteristic, complemented
16#20286217C211yesmaximal, characteristic, complemented
17#20286215C211yesmaximal, characteristic, complemented
18#20286178C211yesmaximal, characteristic, complemented
19#20286177C211yesmaximal, characteristic, complemented
20#20286097C211yesmaximal, characteristic, complemented
21#20285815C211yesmaximal, characteristic, complemented
22#20285810C211yesmaximal, characteristic, complemented
23#20285717C211yesmaximal, characteristic, complemented
24#20284948C211yesmaximal, characteristic, complemented
25#20284947C211yesmaximal, characteristic, complemented
26#20284861C211yesmaximal, characteristic, complemented
27#20284239C211yesmaximal, characteristic, complemented
28#20284234C211yesmaximal, characteristic, complemented
29#20284212C211yesmaximal, characteristic, complemented
30#20283886C211yesmaximal, characteristic, complemented
31C53×#3313C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic, complemented
33C2×#13133248C2211yescharacteristic, complemented
34C2×#13133247C2211yescharacteristic, complemented
35C2×#13133245C2211yescharacteristic
36C22×#11719913C2211yescharacteristic, complemented
37C2×SD16×D53C2211yescharacteristic, complemented
38#16811369—21no—
39#16811365—21no—
40#16811358C2211yescharacteristic
41#16811355C2211yescharacteristic
42#16811353C2211yescharacteristic, complemented
43#16811345—21no—
44#16811345C2211yescharacteristic, complemented
45#16811341C2211yescharacteristic, complemented
46#16811340—21no—
47#16811340—21no—
48#16811336C2211yescharacteristic, complemented
49#16811335—21no—
50#16811286C2211yescharacteristic, complemented
51#16811284C2211yescharacteristic
52#16811283C2211yescharacteristic, complemented
53#16811282C2211yescharacteristic, complemented
54#16811268—21no—
55#16811264C2211yescharacteristic
56#16811262—21no—
57#16811261C2211yescharacteristic
58D4×D212C2211yescharacteristic
59#16811257C2211yescharacteristic
60#16811247C2211yescharacteristic, complemented
61#16811246C2211yescharacteristic
62#16811246C2211yescharacteristic, complemented
63#16811245C2211yescharacteristic
64#16811239—21no—
65#16811237—21no—
66#16811213—21no—
67#16811207—21no—
68#16811206—21no—
69#16811191C2211yescharacteristic
70#16811187C2211yescharacteristic
71#16811181—21no—
72#16811177—21no—
73#16811175C2211yescharacteristic, complemented
74#16811168C2211yescharacteristic
75#16811156—21no—
76#16811153C2211yescharacteristic
77C2×#13133206C2211yescharacteristic
78#16811100C2211yescharacteristic, complemented
79#16811099C2211yescharacteristic, complemented
80#16811091C2211yescharacteristic, complemented
81#16811016C2211yescharacteristic, complemented
82#16811016C2211yescharacteristic, complemented
83#16811012C2211yescharacteristic
84#16811009C2211yescharacteristic
85#16811008C2211yescharacteristic, complemented
86#16811005C2211yescharacteristic, complemented
87#16810984C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810984C2211yescharacteristic, complemented
90#16810971C2211yescharacteristic
91#16810968C2211yescharacteristic
92#16810963C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic
94#16810947C2211yescharacteristic
95#16810947C2211yescharacteristic, complemented
96#16810917C2211yescharacteristic, complemented
97#16810916C2211yescharacteristic, complemented
98#16810916C2211yescharacteristic, complemented
99#16810907C2211yescharacteristic, complemented
100#16810902C2211yescharacteristic, complemented
101#16810902C2211yescharacteristic, complemented
102#16810902C2211yescharacteristic, complemented
103#16810901C2211yescharacteristic, complemented
104#16810900C2211yescharacteristic, complemented
105#16810872C2211yescharacteristic, complemented
106#16810871C2211yescharacteristic
107#16810871C2211yescharacteristic, complemented
108#16810871C2211yescharacteristic, complemented
109#16810870C2211yescharacteristic
110#16810869C2211yescharacteristic, complemented
111#16810867C2211yescharacteristic, complemented
112#16810863C2211yescharacteristic, complemented
113#16810860C2211yescharacteristic
114#16810859C2211yescharacteristic
115#16810848C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic, complemented
117#16810848C2211yescharacteristic, complemented
118#16810848C2211yescharacteristic, complemented
119#16810848C2211yescharacteristic, complemented
120#16810848C2211yescharacteristic, complemented
121#16810848C2211yescharacteristic, complemented
122#16810848C2211yescharacteristic, complemented
123#16810847C2211yescharacteristic, complemented
124#16810847C2211yescharacteristic, complemented
125#16810847C2211yescharacteristic, complemented
126#16810845C2211yescharacteristic, complemented
127#16810842C2211yescharacteristic, complemented
128#16810841C2211yescharacteristic, complemented
129#16810841C2211yescharacteristic, complemented
130#16810841C2211yescharacteristic, complemented
131#16810841C2211yescharacteristic, complemented
132#16810841C2211yescharacteristic, complemented
133#16810839C2211yescharacteristic, complemented
134#16810827C2211yescharacteristic, complemented
135#16810826C2211yescharacteristic, complemented
136#16810824C2211yescharacteristic
137#16810823C2211yescharacteristic
138#16810822C2211yescharacteristic
139#16810822C2211yescharacteristic
140#16810822C2211yescharacteristic, complemented
141#16810822C2211yescharacteristic, complemented
142#16810821C2211yescharacteristic, complemented
143#16810817C2211yescharacteristic, complemented
144#16810788C2211yescharacteristic, complemented
145#16810779C2211yescharacteristic, complemented
146#16810778C2211yescharacteristic, complemented
147#16810777C2211yescharacteristic, complemented
148#16810776C2211yescharacteristic
149#16810775C2211yescharacteristic, complemented
150#16810773C2211yescharacteristic
151#16810773C2211yescharacteristic, complemented
152#16810771C2211yescharacteristic, complemented
153#16810770C2211yescharacteristic, complemented
154#16810768C2211yescharacteristic, complemented
155#16810766C2211yescharacteristic, complemented
156#16810764C2211yescharacteristic
157#16810763C2211yescharacteristic
158#16810759C2211yescharacteristic, complemented
159#16810758C2211yescharacteristic, complemented
160#16810751C2211yescharacteristic, complemented
161#16810750C2211yescharacteristic, complemented
162#16810734C2211yescharacteristic, complemented
163#16810732C2211yescharacteristic, complemented
164#16810727C2211yescharacteristic, complemented
165#16810725C2211yescharacteristic, complemented
166#16810722C2211yescharacteristic, complemented
167#16810722C2211yescharacteristic, complemented
168#16810720C2211yescharacteristic, complemented
169C4×#11719925C2211yescharacteristic, complemented
170#16810715C2211yescharacteristic, complemented
171C4×#11719924C2211yescharacteristic, complemented
172#16810710C2211yescharacteristic, complemented
173#16810701C2211yescharacteristic, complemented
174#16810698C2211yescharacteristic, complemented
175#16810697C2211yescharacteristic, complemented
176#16810694C2211yescharacteristic, complemented
177#16810692C2211yescharacteristic, complemented
178#16810685C2211yescharacteristic, complemented
179#16810681C2211yescharacteristic, complemented
180#16810677C2211yescharacteristic, complemented
181#16810649C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810646C2211yescharacteristic, complemented
184#16810627C2211yescharacteristic
185#16810627C2211yescharacteristic, complemented
186#16810626C2211yescharacteristic, complemented
187#16810618C2211yescharacteristic, complemented
188C53×#556C2211yescharacteristic, complemented
189C53×#548C2211yescharacteristic
190C53×#489C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#477C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic, complemented
195C53×#467C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#451C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#419C2211yescharacteristic, complemented
202C53×#416C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947—21no—
206C22×Dic106C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C22×D212C2311yescharacteristic
209C22×D212C2311yescharacteristic
210C2×D4×D53—21no—
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213#13133249—42no—
214#13133248—42no—
215#13133247—42no—
216#13133245—42no—
217C2×#11719925C2311yescharacteristic
218C2×#11719925C2311yescharacteristic
219C2×#11719925C2311yescharacteristic
220C2×#11719925C2311yescharacteristic
221C2×#11719913—42no—
222C2×#11719913C2311yescharacteristic
223C2×#11719913C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719923C2311yescharacteristic
229C2×#11719923C2311yescharacteristic
230C2×#11719924C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232C2×#11719924C2311yescharacteristic
233C2×#11719924C2311yescharacteristic
234C2×#11719924C2311yescharacteristic
235SD16×D53—42no—
236C2×D424C2311yescharacteristic
237C2×D424C2311yescharacteristic
238C2×D424C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719917C2311yescharacteristic
241C2×#11719917C2311yescharacteristic
242C2×#11719912C2311yescharacteristic
243C2×C8×D53C2311yescharacteristic
244#13133216—21no—
245#13133216—21no—
246#13133216C2311yescharacteristic
247#13133216C2311yescharacteristic
248#13133216C2311yescharacteristic
249#13133215—21no—
250#13133215—21no—
251#13133215C2311yescharacteristic
252#13133214C2311yescharacteristic
253#13133213C2311yescharacteristic
254#13133213C2311yescharacteristic
255#13133212—21no—
256#13133212—21no—
257#13133212—21no—
258#13133212—21no—
259#13133212D411yescharacteristic
260#13133211—21no—
261#13133211—21no—
262#13133211—21no—
263#13133210—21no—
264#13133210D411yescharacteristic
265#13133207—21no—
266#13133207D411yescharacteristic
267#13133206—21no—
268#13133206—21no—
269#13133206—21no—
270#13133206—21no—
271#13133206C2311yescharacteristic
272#13133206C2311yescharacteristic
273#13133206C2311yescharacteristic
274#13133206C2311yescharacteristic
275#13133206C2311yescharacteristic
276#13133206C2311yescharacteristic
277#13133205—21no—
278#13133205—21no—
279#13133205—21no—
280#13133205C2311yescharacteristic
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133203—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203D411yescharacteristic
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202—21no—
294#13133202—21no—
295#13133201—21no—
296#13133201D411yescharacteristic
297#13133200—21no—
298#13133199—21no—
299#13133199—21no—
300#13133199—21no—
301#13133198D411yescharacteristic
302#13133197—21no—
303#13133197—21no—
304#13133197C2311yescharacteristic
305#13133196C2311yescharacteristic
306#13133195—21no—
307#13133195—21no—
308#13133195—21no—
309#13133195—21no—
310#13133195—21no—
311#13133194—21no—
312#13133194—21no—
313#13133194D411yescharacteristic
314#13133193—21no—
315#13133193—21no—
316#13133193C2311yescharacteristic
317#13133192—21no—
318#13133192—21no—
319#13133192C2311yescharacteristic
320#13133192C2311yescharacteristic
321#13133191—21no—
322#13133191—21no—
323#13133191—21no—
324#13133191C2311yescharacteristic
325#13133191C2311yescharacteristic
326#13133191C2311yescharacteristic
327#13133190—21no—
328#13133190—21no—
329#13133190—21no—
330#13133190—21no—
331#13133190—21no—
332#13133189—21no—
333#13133189—21no—
334#13133189—21no—
335#13133189D411yescharacteristic
336#13133187—21no—
337#13133187—21no—
338#13133187—21no—
339#13133187—21no—
340#13133187—21no—
341#13133187—21no—
342#13133185—21no—
343#13133185—21no—
344#13133185—21no—
345#13133185—21no—
346Q8×Dic53C2311yescharacteristic
347Q8×Dic53C2311yescharacteristic
348C4×Dic106—21no—
349C4×Dic106—21no—
350C4×Dic106—21no—
351C4×Dic106—21no—
352C4×Dic106C2311yescharacteristic
353C4×Dic106C2311yescharacteristic
354#13133182—21no—
355#13133182—21no—
356#13133182—21no—
357#13133182C2311yescharacteristic
358#13133182C2311yescharacteristic
359#13133182C2311yescharacteristic
360#13133182C2311yescharacteristic
361#13133182C2311yescharacteristic
362C4×D212—21no—
363C4×D212C2311yescharacteristic
364D4×Dic53C2311yescharacteristic
365#13133179—21no—
366#13133179C2311yescharacteristic
367#13133179C2311yescharacteristic
368#13133179C2311yescharacteristic
369#13133179C2311yescharacteristic
370C4×C22⋊D53—21no—
371C4×C22⋊D53C2311yescharacteristic
372C4×C22⋊D53C2311yescharacteristic
373#13133177—21no—
374#13133177—21no—
375#13133177—21no—
376#13133177—21no—
377#13133177—21no—
378#13133177—21no—
379#13133176C2311yescharacteristic
380#13133175—21no—
381#13133175C2311yescharacteristic
382#13133174—21no—
383#13133174—21no—
384#13133174—21no—
385#13133174—21no—
386#13133174C2311yescharacteristic
387#13133173—21no—
388#13133173—21no—
389#13133173—21no—
390C2×#11719921—21no—
391C2×#11719921—21no—
392C2×#11719921—21no—
393C22⋊C4×D53—21no—
394C2×C4×Dic53C2311yescharacteristic
395C42×D53—21no—
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133148C2311yescharacteristic
401C4⋊#88322C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133127C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439C4×#88322C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×#41×C53C2311yescharacteristic
442C22×Q8×C53C2311yescharacteristic
443C2×Q16×C53C2311yescharacteristic
444C2×Q16×C53C2311yescharacteristic
445C2×SD16×C53C2311yescharacteristic
446C2×M16×C53C2311yescharacteristic
447C22×C8×C53C2311yescharacteristic
448C4⋊Q8×C53C2311yescharacteristic
449#126×C53—21no—
450#126×C53—21no—
451#124×C53—21no—
452#124×C53—21no—
453#124×C53C2311yescharacteristic
454C22⋊Q8×C53—21no—
455C22⋊Q8×C53C2311yescharacteristic
456C22⋊Q8×C53C2311yescharacteristic
457C22⋊Q8×C53C2311yescharacteristic
458#121×C53—21no—
459#121×C53C2311yescharacteristic
460C4×Q8×C53—21no—
461C4×Q8×C53C2311yescharacteristic
462C4×Q8×C53C2311yescharacteristic
463C4×D4×C53—21no—
464C4×D4×C53C2311yescharacteristic
465#117×C53C2311yescharacteristic
466#117×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53—21no—
487#41×C53—41no—
488#41×C53—41no—
489C2×Q8×C53—21no—
490C2×Q8×C53—21no—
491C2×Q8×C53—41no—
492C2×Q8×C53—41no—
493C2×Q8×C53C2411yescharacteristic
494C2×Q8×C53C2411yescharacteristic
495C2×Q8×C53C2411yescharacteristic
496C2×D4×C53—21no—
497C2×D4×C53—21no—
498C2×D4×C53C2×D411yescharacteristic
499C2×D4×C53C2411yescharacteristic
500C22×C4×C53—21no—
501C22×C4×C53—21no—
502C22×C4×C53C2411yescharacteristic
503C22×C4×C53C2411yescharacteristic
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53C2×D411yescharacteristic
514C2×C22⋊D53C2×D411yescharacteristic
515C22×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53C2×D411yescharacteristic
518C22×Dic53C2×D411yescharacteristic
519#11719949—41no—
520#11719949—41no—
521Q8×D53—22no—
522Q8×D53—41no—
523#11719947—82no—
524D4×D53—41no—
525D4×D53—41no—
526D4×D53—82no—
527D4×D53—82no—
528#11719945—22no—
529#11719945—41no—
530C2×D212—21no—
531C2×D212—21no—
532C2×D212—21no—
533C2×D212—21no—
534C2×D212—21no—
535C2×D212—21no—
536C2×D212—21no—
537C2×D212—41no—
538C2×D212—41no—
539C2×D212—41no—
540C2×D212—41no—
541C2×D212C2411yescharacteristic
542C2×D212C2411yescharacteristic
543C2×D212C2411yescharacteristic
544C2×D212C2411yescharacteristic
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53C2411yescharacteristic
554C2×Dic106—22no—
555C2×Dic106—21no—
556C2×Dic106—21no—
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106—41no—
561C2×Dic106C2×D411yescharacteristic
562C2×Dic106C2411yescharacteristic
563C2×Dic106C2411yescharacteristic
564Q16×C53—41no—
565Q16×C53—41no—
566SD16×C53—41no—
567M16×C53—41no—
568C2×C8×C53—41no—
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53C2×D411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C22⋊C4×C53—21no—
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53C2×D411yescharacteristic
593C22⋊C4×C53C2×D411yescharacteristic
594C42×C53—21no—
595C42×C53—21no—
596C42×C53—21no—
597C42×C53—21no—
598C42×C53C2411yescharacteristic
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53C2×D411yescharacteristic
602C22⋊Dic53C2×D411yescharacteristic
603C22⋊Dic53C2×D411yescharacteristic
604C22⋊Dic53C2×D411yescharacteristic
605#11719925—22no—
606#11719925—22no—
607#11719925—41no—
608#11719925—41no—
609#11719924—41no—
610#11719924—41no—
611#11719924—41no—
612#11719924—41no—
613#11719924—41no—
614#11719923—22no—
615#11719923—41no—
616#11719922—41no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921—21no—
639#11719921—21no—
640#11719921—21no—
641#11719921—21no—
642#11719921—21no—
643#11719921—21no—
644#11719921C2×D411yescharacteristic
645#11719921C2×D411yescharacteristic
646#11719921C2×D411yescharacteristic
647#11719921C2×D411yescharacteristic
648C4⋊Dic53—21no—
649C4⋊Dic53—21no—
650C4⋊Dic53—21no—
651C4⋊Dic53C2×D411yescharacteristic
652C4⋊Dic53C2×D411yescharacteristic
653C4⋊Dic53C2×D411yescharacteristic
654C4⋊Dic53C2411yescharacteristic
655C4⋊Dic53C2411yescharacteristic
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919—21no—
666#11719919—21no—
667#11719919—21no—
668#11719919—21no—
669#11719919C2×D411yescharacteristic
670#11719919C2×D411yescharacteristic
671#11719919C2×D411yescharacteristic
672#11719919C2×D411yescharacteristic
673#11719919C2×D411yescharacteristic
674#11719919C2×D411yescharacteristic
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53—21no—
683C4×Dic53—21no—
684C4×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C4×Dic53C2411yescharacteristic
688C4×Dic53C2411yescharacteristic
689#11719917—41no—
690#11719917—41no—
691C2×#88322C2411yescharacteristic
692C2×#88322C2411yescharacteristic
693C2×#88322C2411yescharacteristic
694C2×#88322C2411yescharacteristic
695D424—41no—
696D424—41no—
697D424—41no—
698#11719913—22no—
699#11719913—22no—
700#11719913—22no—
701#11719913—41no—
702#11719913—41no—
703#11719913—41no—
704#11719912—41no—
705C8×D53—41no—
706C23×C53—21no—
707C23×C53C22×D411yescharacteristic
708C23×C53C22×D411yescharacteristic
709C22×D53—21no—
710C22×D53—21no—
711C22×D53—21no—
712C22×D53—21no—
713C22×D53—42no—
714C22×D53—81no—
715C22×D53—81no—
716C22×D53—81no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53—81no—
721C22×D53—81no—
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—21no—
726Q8×C53—21no—
727Q8×C53—21no—
728Q8×C53—21no—
729Q8×C53—81no—
730Q8×C53—81no—
731D4×C53—21no—
732D4×C53—21no—
733D4×C53—41no—
734D4×C53—42no—
735D4×C53—81no—
736C2×C4×C53—21no—
737C2×C4×C53—21no—
738C2×C4×C53—21no—
739C2×C4×C53—21no—
740C2×C4×C53—21no—
741C2×C4×C53—21no—
742C2×C4×C53—21no—
743C2×C4×C53—21no—
744C2×C4×C53—21no—
745C2×C4×C53—21no—
746C2×C4×C53—21no—
747C2×C4×C53—81no—
748C2×C4×C53—81no—
749C2×C4×C53C22×D411yescharacteristic
750C2×C4×C53C22×D411yescharacteristic
751C2×C4×C53C22×D411yescharacteristic
752C2×C4×C53C22×D411yescharacteristic
753C2×C4×C53C2511yescharacteristic
754C22⋊D53—41no—
755C22⋊D53—41no—
756C22⋊D53—42no—
757C22⋊D53—42no—
758C22⋊D53—81no—
759C22⋊D53—81no—
760C22⋊D53—81no—
761C22⋊D53—81no—
762C22⋊D53—81no—
763C22⋊D53—81no—
764C22⋊D53—81no—
765C2×Dic53—21no—
766C2×Dic53—21no—
767C2×Dic53—21no—
768C2×Dic53—21no—
769C2×Dic53—41no—
770C2×Dic53—41no—
771C2×Dic53—42no—
772C2×Dic53—81no—
773C2×Dic53C22×D411yescharacteristic
774C2×Dic53C22×D411yescharacteristic
775C2×Dic53C22×D411yescharacteristic
776C2×Dic53C22×D411yescharacteristic
777C2×Dic53C22×D411yescharacteristic
778C2×Dic53C22×D411yescharacteristic
779C2×Dic53C22×D411yescharacteristic
780D212—21no—
781D212—21no—
782D212—21no—
783D212—21no—
784D212—21no—
785D212—21no—
786D212—21no—
787D212—21no—
788D212—81no—
789D212—81no—
790D212—81no—
791D212—81no—
792D212—81no—
793D212—81no—
794D212—81no—
795C4×D53—21no—
796C4×D53—21no—
797C4×D53—42no—
798C4×D53—42no—
799C4×D53—42no—
800C4×D53—81no—
801C4×D53—81no—
802C4×D53—81no—
803C4×D53—81no—
804C4×D53—81no—
805Dic106—21no—
806Dic106—21no—
807Dic106—21no—
808Dic106—41no—
809Dic106—42no—
810Dic106—42no—
811Dic106—81no—
812Dic106—81no—
813Dic106—81no—
814Dic106H(5,𝔽2)12yes—
815C8×C53—21no—
816C8×C53—21no—
817C8×C53—21no—
818C8×C53—21no—
819#88322—21no—
820#88322—21no—
821#88322—21no—
822#88322—21no—
823#62092—531nomaximal, Sylow
824C22×C53—21no—
825C22×C53—21no—
826C22×C53—21no—
827C22×C53—21no—
828C22×C53—21no—
829C22×C53—21no—
830C22×C53—41no—
831C22×C53—41no—
832C22×C53—41no—
833C22×C53C23×D411yescharacteristic
834C2×D53—21no—
835C2×D53—21no—
836C2×D53—21no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—41no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—162no—
850C2×D53—162no—
851C2×D53—162no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53—21no—
855C4×C53—21no—
856C4×C53—41no—
857C4×C53—41no—
858C4×C53—41no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53—41no—
862C4×C53—41no—
863C4×C53C2×H(5,𝔽2)11yescharacteristic
864C4×C53#58511yescharacteristic
865Dic53—21no—
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—21no—
870Dic53—21no—
871Dic53—22no—
872Dic53—21no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375—531no—
882#3324—531no—
883#3324—531no—
884#3319—531no—
885#3319—531no—
886#3313—531no—
887#3313D5311yescharacteristic, complemented
888#3277—531no—
889#3277—531no—
890#3266—531no—
891#3266—531no—
892#3265—531no—
893#3265—531no—
894#3262—531no—
895#3262—531no—
896#3254—531no—
897#3224—531no—
898#3224—531no—
899#3215—531no—
900#3121—531no—
901#3121—531no—
902#3115—531no—
903#3043—531no—
904#3043—531no—
905#3040—531no—
906#2995—531no—
907C2×C53—41no—
908C2×C53—41no—
909C2×C53—81no—
910C2×C53#348811yescharacteristic
911C2×C53#358511yescharacteristic
912C2×C53#358611yescharacteristic
913D53—41no—
914D53—81no—
915D53—81no—
916D53—81no—
917D53—81no—
918C2×#137—531no—
919C2×#137—531no—
920C2×#137—531no—
921C2×AGL(1,ℤ/8)—531no—
922C22×SD16—531no—
923C22×SD16—531no—
924#562—1061no—
925H(3,𝔽4)—1061no—
926#559—531no—
927#559—531no—
928Q82—531no—
929#556—531no—
930#556—531no—
931#556—1061no—
932#556—1061no—
933#556—1061no—
934#556C2×D5311yescharacteristic, complemented
935#555—531no—
936#555—1061no—
937D4×Q8—531no—
938#548—531no—
939#548—531no—
940#548—531no—
941#548C2×D5311yescharacteristic
942#546—531no—
943#546—531no—
944#546—1061no—
945#546—1061no—
946D42—531no—
947D42—531no—
948#542—531no—
949#542—531no—
950#542—531no—
951#542—531no—
952#542—1061no—
953#542—1061no—
954#538—1061no—
955#538—1061no—
956#538—1061no—
957#535—531no—
958#535—531no—
959#534—1061no—
960#533—531no—
961#533—1061no—
962#532—531no—
963#529—531no—
964#529—1061no—
965C2×#124—531no—
966#519—531no—
967#519—531no—
968C4×#41—531no—
969#497—531no—
970#497—531no—
971#496—531no—
972#496—531no—
973#495—531no—
974#495—531no—
975#489—531no—
976#489—531no—
977#489—531no—
978#489C2×D5311yescharacteristic, complemented
979#486—531no—
980#486—531no—
981#485—531no—
982#485C2×D5311yescharacteristic, complemented
983#482—531no—
984#482—531no—
985#482—531no—
986#482C2×D5311yescharacteristic, complemented
987#477—531no—
988#477—531no—
989#477—531no—
990#477C2×D5311yescharacteristic, complemented
991#475—531no—
992#474—531no—
993#474—531no—
994#474—531no—
995#474—531no—
996#474—531no—
997#468—531no—
998#468—531no—
999#468—531no—
1000#468—531no—
1001#468—531no—
1002#468—531no—
1003#468—531no—
1004#468C2×D5311yescharacteristic, complemented
1005#467—531no—
1006#467C2×D5311yescharacteristic, complemented
1007#466—531no—
1008#466—531no—
1009#464—531no—
1010#464—531no—
1011#464—531no—
1012#464—531no—
1013#464—531no—
1014#464—531no—
1015#464—531no—
1016#464—531no—
1017#464—531no—
1018#464—531no—
1019#464—531no—
1020#464—531no—
1021#464—531no—
1022#464C2×D5311yescharacteristic, complemented
1023#463—531no—
1024#463—531no—
1025#463—531no—
1026#463—531no—
1027#463—531no—
1028#463—531no—
1029#461—531no—
1030#461—531no—
1031#460—531no—
1032#460—531no—
1033#460—531no—
1034#460—531no—
1035#460—531no—
1036#460—531no—
1037#460—531no—
1038#459—531no—
1039#452—531no—
1040#452C2×D5311yescharacteristic, complemented
1041#451—531no—
1042#451—531no—
1043#451—531no—
1044#451C2×D5311yescharacteristic, complemented
1045#450—531no—
1046#450—531no—
1047#450—531no—
1048#450—531no—
1049#449—531no—
1050#449—531no—
1051#449—531no—
1052#449—531no—
1053#448—531no—
1054#448—531no—
1055#447—531no—
1056#447—531no—
1057#446—531no—
1058#446—531no—
1059#442—531no—
1060#442—531no—
1061#441—531no—
1062#441C2×D5311yescharacteristic, complemented
1063#440—531no—
1064#440—531no—
1065#440—531no—
1066#440—531no—
1067C4×Q16—531no—
1068C4×Q16—531no—
1069C4×SD16—531no—
1070C4×SD16—531no—
1071#436—531no—
1072#436—531no—
1073#435—531no—
1074#435—531no—
1075#435—531no—
1076#435C2×D5311yescharacteristic, complemented
1077#433—531no—
1078#433—531no—
1079#432—531no—
1080#424—531no—
1081#424—531no—
1082#423—531no—
1083#419C2×D5311yescharacteristic, complemented
1084#418—531no—
1085#418—531no—
1086#418—531no—
1087#416—531no—
1088#416C2×D5311yescharacteristic, complemented
1089C53#6209211yescharacteristic, complemented, Sylow
1090C2×#41—531no—
1091C2×#41—531no—
1092C2×#41—1061no—
1093C2×#41C22×D5311yescharacteristic
1094C22×Q8—531no—
1095C22×Q8—531no—
1096C22×Q8C22×D5311yescharacteristic
1097C22×D4—531no—
1098C22×D4—531no—
1099C22×D4—531no—
1100C22×D4—1061no—
1101C22×D4—1061no—
1102#137—2122no—
1103#137—2122no—
1104#137—2122no—
1105AGL(1,ℤ/8)—2122no—
1106C2×Q16—531no—
1107C2×Q16—531no—
1108C2×Q16—531no—
1109C2×Q16—531no—
1110C2×Q16C22×D5311yescharacteristic
1111C2×Q16C22×D5311yescharacteristic
1112C2×SD16—531no—
1113C2×SD16—531no—
1114C2×SD16—531no—
1115C2×SD16—531no—
1116C2×SD16—531no—
1117C2×SD16—531no—
1118C2×SD16—531no—
1119C2×SD16—531no—
1120C2×SD16—531no—
1121C2×SD16—531no—
1122C2×SD16—531no—
1123C2×SD16—531no—
1124C2×SD16—531no—
1125C2×SD16—2122no—
1126C2×SD16—2122no—
1127C2×SD16C22×D5311yescharacteristic
1128C2×D8—531no—
1129C2×D8—531no—
1130C2×D8—531no—
1131C2×D8—531no—
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16C22×D5311yescharacteristic
1136C22×C8—531no—
1137C22×C8C22×D5311yescharacteristic
1138C4⋊Q8—531no—
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—531no—
1142C4⋊Q8—1061no—
1143C4⋊Q8—1061no—
1144C4⋊Q8—1061no—
1145C4⋊Q8—1061no—
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127—531no—
1150#126—21no—
1151#126—21no—
1152#126—531no—
1153#126—531no—
1154#126—1061no—
1155#126—1061no—
1156#126—1061no—
1157#126—1061no—
1158#126—1061no—
1159#126—1061no—
1160#126—1061no—
1161#126—1061no—
1162#125—531no—
1163#125—1061no—
1164#124—21no—
1165#124—21no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—531no—
1173#124—531no—
1174#124—1061no—
1175#124—1061no—
1176#124—1061no—
1177#124—1061no—
1178#124—1061no—
1179#124—1061no—
1180#124—1061no—
1181#124—1061no—
1182#124—1061no—
1183#124—1061no—
1184#124—1061no—
1185#124—1061no—
1186#124—1061no—
1187#124—1061no—
1188#124—1061no—
1189#124C22×D5311yescharacteristic
1190#123—531no—
1191#123—531no—
1192#123—1061no—
1193#123—1061no—
1194#123—1061no—
1195#123—1061no—
1196#123—1061no—
1197#123—1061no—
1198#123—1061no—
1199#123—1061no—
1200#123—1061no—
1201#123—1061no—
1202C22⋊Q8—21no—
1203C22⋊Q8—531no—
1204C22⋊Q8—531no—
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—1061no—
1208C22⋊Q8—1061no—
1209C22⋊Q8—1061no—
1210C22⋊Q8—1061no—
1211C22⋊Q8—1061no—
1212C22⋊Q8—1061no—
1213C22⋊Q8—1061no—
1214C22⋊Q8—1061no—
1215C22⋊Q8—1061no—
1216C22⋊Q8—1061no—
1217C22⋊Q8—1061no—
1218C22⋊Q8C22×D5311yescharacteristic
1219C22⋊Q8C22×D5311yescharacteristic
1220C22⋊Q8C22×D5311yescharacteristic
1221#121—21no—
1222#121—531no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—531no—
1227#121—531no—
1228#121—1061no—
1229#121—1061no—
1230#121—1061no—
1231#121—1061no—
1232#121—1061no—
1233#121—1061no—
1234#121—1061no—
1235#121—1061no—
1236#121—1061no—
1237#121—1061no—
1238#121—1061no—
1239#121—1061no—
1240#121—1061no—
1241#121C22×D5311yescharacteristic
1242#120—1061no—
1243#120—1061no—
1244#120—1061no—
1245#120—1061no—
1246#120—1061no—
1247#120—1061no—
1248#120—1061no—
1249#120—1061no—
1250#120—1061no—
1251#120—1061no—
1252C4×Q8—21no—
1253C4×Q8—531no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—531no—
1260C4×Q8—531no—
1261C4×Q8—531no—
1262C4×Q8—1061no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8—1061no—
1267C4×Q8—1061no—
1268C4×Q8—1061no—
1269C4×Q8C22×D5311yescharacteristic
1270C4×Q8C22×D5311yescharacteristic
1271C4×D4—21no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—531no—
1278C4×D4—531no—
1279C4×D4—531no—
1280C4×D4—1061no—
1281C4×D4—1061no—
1282C4×D4—1061no—
1283C4×D4—1061no—
1284C4×D4—1061no—
1285C4×D4—1061no—
1286C4×D4—1061no—
1287C4×D4—1061no—
1288C4×D4—1061no—
1289C4×D4C22×D5311yescharacteristic
1290#117—531no—
1291#117—531no—
1292#117—531no—
1293#117—1061no—
1294#117—1061no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117C22×D5311yescharacteristic
1302#117C22×D5311yescharacteristic
1303C2×C22⋊C4—1061no—
1304C2×C22⋊C4—1061no—
1305C2×C22⋊C4—1061no—
1306C2×C22⋊C4—1061no—
1307C2×C42—531no—
1308C2×C42—1061no—
1309#107—531no—
1310#107—531no—
1311#107—531no—
1312#107—531no—
1313#107C22×D5311yescharacteristic
1314#107C22×D5311yescharacteristic
1315#106—531no—
1316#106C22×D5311yescharacteristic
1317C4⋊C8—531no—
1318C4⋊C8—531no—
1319C4⋊C8—531no—
1320C4⋊C8—531no—
1321C4⋊C8—531no—
1322C4⋊C8—531no—
1323C4⋊C8—531no—
1324C4⋊C8—531no—
1325C4⋊C8—531no—
1326C4⋊C8C22×D5311yescharacteristic
1327#103—531no—
1328#103—531no—
1329#103—531no—
1330#103—531no—
1331#103—531no—
1332#103—531no—
1333#103—531no—
1334#103C22×D5311yescharacteristic
1335#103C22×D5311yescharacteristic
1336#103C22×D5311yescharacteristic
1337#103C22×D5311yescharacteristic
1338#103C22×D5311yescharacteristic
1339#103C22×D5311yescharacteristic
1340#103C22×D5311yescharacteristic
1341#102—531no—
1342#102—531no—
1343#102—531no—
1344#102—531no—
1345#102—531no—
1346#102—531no—
1347#102—531no—
1348#102—531no—
1349#102—531no—
1350#102—531no—
1351#102—531no—
1352#102—531no—
1353#102—531no—
1354#102—531no—
1355#102—531no—
1356#102C22×D5311yescharacteristic
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359C22⋊C8—531no—
1360C22⋊C8—531no—
1361C22⋊C8—531no—
1362C22⋊C8—531no—
1363C22⋊C8C22×D5311yescharacteristic
1364C22⋊C8C22×D5311yescharacteristic
1365#97—531no—
1366#97—531no—
1367#97—531no—
1368#97C22×D5311yescharacteristic
1369C4×C8—531no—
1370C4×C8—531no—
1371C24—1061no—
1372C24—1061no—
1373C24—1061no—
1374#41—41no—
1375#41—41no—
1376#41—1062no—
1377#41—4242no—
1378#41—2121no—
1379#41—2121no—
1380#41—2121no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8—531no—
1386C2×Q8—531no—
1387C2×Q8—531no—
1388C2×Q8—1061no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—1061no—
1392C2×Q8—1062no—
1393C2×Q8—1061no—
1394C2×Q8—1062no—
1395C2×Q8—2121no—
1396C2×Q8—2121no—
1397C2×Q8C23×D5311yescharacteristic
1398C2×Q8C23×D5311yescharacteristic
1399C2×Q8C23×D5311yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—531no—
1403C2×D4—531no—
1404C2×D4—531no—
1405C2×D4—531no—
1406C2×D4—531no—
1407C2×D4—531no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—1061no—
1421C2×D4—1061no—
1422C2×D4—1061no—
1423C2×D4—1061no—
1424C2×D4—4242no—
1425C2×D4—4242no—
1426C2×D4—2121no—
1427C2×D4—2121no—
1428C2×D4—2121no—
1429C2×D4—2121no—
1430C2×D4—2121no—
1431C2×D4—2121no—
1432C2×D4D4×D5311yescharacteristic
1433C2×D4C23×D5311yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4—1061no—
1445C22×C4—1061no—
1446C22×C4—1061no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×C4C23×D5311yescharacteristic
1450C22×C4C23×D5311yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—1062no—
1454Q16—1062no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—41no—
1458SD16—1062no—
1459SD16—1062no—
1460SD16—1062no—
1461SD16—1062no—
1462SD16—2121no—
1463SD16—2121no—
1464SD16—2121no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—2121no—
1472D8—2121no—
1473D8—2121no—
1474D8—2121no—
1475M16—41no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—41no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—531no—
1484C2×C8—2121no—
1485C2×C8C23×D5311yescharacteristic
1486C2×C8C23×D5311yescharacteristic
1487C2×C8C23×D5311yescharacteristic
1488C2×C8C23×D5311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—531no—
1503C4⋊C4—531no—
1504C4⋊C4—531no—
1505C4⋊C4—531no—
1506C4⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4—1061no—
1517C4⋊C4—1061no—
1518C4⋊C4—1061no—
1519C4⋊C4—1061no—
1520C4⋊C4—1061no—
1521C4⋊C4—1061no—
1522C4⋊C4D4×D5311yescharacteristic
1523C4⋊C4C23×D5311yescharacteristic
1524C4⋊C4C23×D5311yescharacteristic
1525C4⋊C4C23×D5311yescharacteristic
1526C4⋊C4C23×D5311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—531no—
1536C22⋊C4—531no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—531no—
1542C22⋊C4—531no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4—1061no—
1558C22⋊C4—1061no—
1559C22⋊C4—1061no—
1560C22⋊C4—1061no—
1561C22⋊C4—1061no—
1562C22⋊C4—1061no—
1563C22⋊C4—1061no—
1564C22⋊C4—1061no—
1565C22⋊C4—1061no—
1566C22⋊C4—1061no—
1567C22⋊C4—1061no—
1568C22⋊C4—1061no—
1569C22⋊C4—1061no—
1570C22⋊C4—1061no—
1571C22⋊C4—1061no—
1572C22⋊C4D4×D5311yescharacteristic
1573C22⋊C4D4×D5311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—531no—
1579C42—531no—
1580C42—531no—
1581C42—531no—
1582C42—531no—
1583C42—1061no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42—1061no—
1591C42—1061no—
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—531no—
1595C23—1061no—
1596C23—1061no—
1597C23—1061no—
1598C23—1061no—
1599C23—4241no—
1600C23—4241no—
1601C23—4241no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—2122no—
1608C23C2×D4×D5311yescharacteristic
1609C23C2×D4×D5311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—81no—
1618Q8—532no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—1061no—
1622Q8—4241no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—2121no—
1626Q8—2122no—
1627Q8—2122no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—42no—
1632D4—81no—
1633D4—1061no—
1634D4—1061no—
1635D4—1061no—
1636D4—1061no—
1637D4—1061no—
1638D4—1061no—
1639D4—1061no—
1640D4—1061no—
1641D4—4241no—
1642D4—4241no—
1643D4—4241no—
1644D4—4241no—
1645D4—4241no—
1646D4—4241no—
1647D4—4241no—
1648D4—4241no—
1649D4—4241no—
1650D4—4241no—
1651D4—4241no—
1652D4—4241no—
1653D4—4241no—
1654D4—4241no—
1655D4—2121no—
1656D4—2121no—
1657D4—2122no—
1658D4—2122no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—531no—
1673C2×C4—531no—
1674C2×C4—531no—
1675C2×C4—531no—
1676C2×C4—531no—
1677C2×C4—531no—
1678C2×C4—531no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—1061no—
1685C2×C4—4241no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—4241no—
1691C2×C4—2122no—
1692C2×C4—2122no—
1693C2×C4—2122no—
1694C2×C4—2121no—
1695C2×C4—2121no—
1696C2×C4—2122no—
1697C2×C4C2×D4×D5311yescharacteristic
1698C2×C4C2×D4×D5311yescharacteristic
1699C2×C4C2×D4×D5311yescharacteristic
1700C2×C4C2×D4×D5311yescharacteristic
1701C2×C4C24×D5311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1061no—
1707C8—1061no—
1708C8—1061no—
1709C8—1061no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—8482no—
1720C22—8482no—
1721C22—8482no—
1722C22—1061no—
1723C22—1061no—
1724C22—1061no—
1725C22—2121no—
1726C22—2121no—
1727C22—2121no—
1728C22—2121no—
1729C22—2121no—
1730C22—2121no—
1731C22—2121no—
1732C22—2121no—
1733C22—2121no—
1734C22—2121no—
1735C22—2121no—
1736C22—2121no—
1737C22C22×D4×D5311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1061no—
1750C4—1062no—
1751C4—1061no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—1061no—
1756C4—1061no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4H(5,𝔽2)×D5311yescharacteristic
1761C4#1681145911yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—4241no—
1766C2—4241no—
1767C2—4241no—
1768C2—4241no—
1769C2—2121no—
1770C2#2028837811yescharacteristic
1771C2#2028949211yescharacteristic
1772C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3313C2
socleC22×C53C23×D4
hypercenter#3313D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #20289232C2semidirect
2. #20288725C2semidirect
3. #20287785C2semidirect
4. #20287782C2semidirect
5. #20287528C2semidirect
6. #20287526C2semidirect
7. #20286944C2semidirect
8. #20286940C2semidirect
9. #20286874C2semidirect
10. #20286867C2semidirect
11. #20286782C2semidirect
12. #20286372C2semidirect
13. #20286368C2semidirect
14. #20286223C2semidirect
15. #20286222C2semidirect
16. #20286217C2semidirect
17. #20286215C2semidirect
18. #20286178C2semidirect
19. #20286177C2semidirect
20. #20286097C2semidirect
21. #20285815C2semidirect
22. #20285810C2semidirect
23. #20285717C2semidirect
24. #20284948C2semidirect
25. #20284947C2semidirect
26. #20284861C2semidirect
27. #20284239C2semidirect
28. #20284234C2semidirect
29. #20284212C2semidirect
30. #20283886C2semidirect
31. C53×#3313C2semidirect
32. C2×#13133249C22semidirect
33. C2×#13133248C22semidirect
34. C2×#13133247C22semidirect
36. C22×#11719913C22semidirect
37. C2×SD16×D53C22semidirect
42. #16811353C22semidirect
44. #16811345C22semidirect
45. #16811341C22semidirect
48. #16811336C22semidirect
50. #16811286C22semidirect
52. #16811283C22semidirect
53. #16811282C22semidirect
60. #16811247C22semidirect
62. #16811246C22semidirect
73. #16811175C22semidirect
78. #16811100C22semidirect
79. #16811099C22semidirect
80. #16811091C22semidirect
81. #16811016C22semidirect
82. #16811016C22semidirect
85. #16811008C22semidirect
86. #16811005C22semidirect
87. #16810984C22semidirect
88. #16810984C22semidirect
89. #16810984C22semidirect
92. #16810963C22semidirect
95. #16810947C22semidirect
96. #16810917C22semidirect
97. #16810916C22semidirect
98. #16810916C22semidirect
99. #16810907C22semidirect
100. #16810902C22semidirect
101. #16810902C22semidirect
102. #16810902C22semidirect
103. #16810901C22semidirect
104. #16810900C22semidirect
105. #16810872C22semidirect
107. #16810871C22semidirect
108. #16810871C22semidirect
110. #16810869C22semidirect
111. #16810867C22semidirect
112. #16810863C22semidirect
115. #16810848C22semidirect
116. #16810848C22semidirect
117. #16810848C22semidirect
118. #16810848C22semidirect
119. #16810848C22semidirect
120. #16810848C22semidirect
121. #16810848C22semidirect
122. #16810848C22semidirect
123. #16810847C22semidirect
124. #16810847C22semidirect
125. #16810847C22semidirect
126. #16810845C22semidirect
127. #16810842C22semidirect
128. #16810841C22semidirect
129. #16810841C22semidirect
130. #16810841C22semidirect
131. #16810841C22semidirect
132. #16810841C22semidirect
133. #16810839C22semidirect
134. #16810827C22semidirect
135. #16810826C22semidirect
140. #16810822C22semidirect
141. #16810822C22semidirect
142. #16810821C22semidirect
143. #16810817C22semidirect
144. #16810788C22semidirect
145. #16810779C22semidirect
146. #16810778C22semidirect
147. #16810777C22semidirect
149. #16810775C22semidirect
151. #16810773C22semidirect
152. #16810771C22semidirect
153. #16810770C22semidirect
154. #16810768C22semidirect
155. #16810766C22semidirect
158. #16810759C22semidirect
159. #16810758C22semidirect
160. #16810751C22semidirect
161. #16810750C22semidirect
162. #16810734C22semidirect
163. #16810732C22semidirect
164. #16810727C22semidirect
165. #16810725C22semidirect
166. #16810722C22semidirect
167. #16810722C22semidirect
168. #16810720C22semidirect
169. C4×#11719925C22semidirect
170. #16810715C22semidirect
171. C4×#11719924C22semidirect
172. #16810710C22semidirect
173. #16810701C22semidirect
174. #16810698C22semidirect
175. #16810697C22semidirect
176. #16810694C22semidirect
177. #16810692C22semidirect
178. #16810685C22semidirect
179. #16810681C22semidirect
180. #16810677C22semidirect
181. #16810649C22semidirect
182. #16810648C22semidirect
183. #16810646C22semidirect
185. #16810627C22semidirect
186. #16810626C22semidirect
187. #16810618C22semidirect
188. C53×#556C22semidirect
190. C53×#489C22semidirect
191. C53×#485C22semidirect
192. C53×#482C22semidirect
193. C53×#477C22semidirect
194. C53×#468C22semidirect
195. C53×#467C22semidirect
196. C53×#464C22semidirect
197. C53×#452C22semidirect
198. C53×#451C22semidirect
199. C53×#441C22semidirect
200. C53×#435C22semidirect
201. C53×#419C22semidirect
202. C53×#416C22semidirect
887. #3313D53semidirect
934. #556C2×D53semidirect
978. #489C2×D53semidirect
982. #485C2×D53semidirect
986. #482C2×D53semidirect
990. #477C2×D53semidirect
1004. #468C2×D53semidirect
1006. #467C2×D53semidirect
1022. #464C2×D53semidirect
1040. #452C2×D53semidirect
1044. #451C2×D53semidirect
1062. #441C2×D53semidirect
1076. #435C2×D53semidirect
1083. #419C2×D53semidirect
1088. #416C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892322
#202887252
#202877852
#202877822
#202875282
#202875262
#202869442
#202869402
#202868742
#202868672
#202867822
#202863722
#202863682
#202862232
#202862222
#202862172
#202862152
#202861782
#202861772
#202860972
#202858152
#202858102
#202857172
#202849482
#202849472
#202848612
#202842392
#202842342
#202842122
#202838862
C53×#33132
#6209253