Finite Group Databasebeta

← #28275817

Subgroups — #28275817

Order 13568.

1664 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289197C211yesmaximal, characteristic, complemented
2#20288611C211yesmaximal, characteristic, complemented
3#20287792C211yesmaximal, characteristic, complemented
4#20287789C211yesmaximal, characteristic, complemented
5#20287788C211yesmaximal, characteristic, complemented
6#20287777C211yesmaximal, characteristic, complemented
7#20287763C211yesmaximal, characteristic, complemented
8#20287741C211yesmaximal, characteristic, complemented
9#20287712C211yesmaximal, characteristic, complemented
10#20287703C211yesmaximal, characteristic, complemented
11#20287553C211yesmaximal, characteristic, complemented
12#20287549C211yesmaximal, characteristic, complemented
13#20287532C211yesmaximal, characteristic, complemented
14#20287479C211yesmaximal, characteristic, complemented
15#20287475C211yesmaximal, characteristic, complemented
16#20287458C211yesmaximal, characteristic, complemented
17#20287412C211yesmaximal, characteristic, complemented
18#20287401C211yesmaximal, characteristic, complemented
19#20285828C211yesmaximal, characteristic, complemented
20#20285815C211yesmaximal, characteristic
21#20285796C211yesmaximal, characteristic, complemented
22#20285785C211yesmaximal, characteristic, complemented
23#20285714C211yesmaximal, characteristic, complemented
24#20285682C211yesmaximal, characteristic, complemented
25#20285011C211yesmaximal, characteristic, complemented
26#20284963C211yesmaximal, characteristic, complemented
27#20284947C211yesmaximal, characteristic, complemented
28#20284902C211yesmaximal, characteristic, complemented
29#20284824C211yesmaximal, characteristic, complemented
30#20283809C211yesmaximal, characteristic, complemented
31C53×#3107C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811374—21no—
34#16811356C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811356C2211yescharacteristic
37#16811356C2211yescharacteristic
38#16811353C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811349C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic, complemented
43#16811345C2211yescharacteristic
44#16811345C2211yescharacteristic
45#16811345C2211yescharacteristic
46#16811345C2211yescharacteristic
47#16811345C2211yescharacteristic, complemented
48#16811345C2211yescharacteristic, complemented
49#16811341—21no—
50#16811334C2211yescharacteristic, complemented
51#16811312—21no—
52#16811302—21no—
53#16811302—21no—
54#16811302—21no—
55#16811302—21no—
56#16811253—21no—
57#16811246C2211yescharacteristic
58#16811246C2211yescharacteristic
59#16811244—21no—
60#16811244—21no—
61#16811236—21no—
62#16811233C2211yescharacteristic
63#16811233C2211yescharacteristic
64#16811231—21no—
65#16811231—21no—
66#16811194C2211yescharacteristic
67#16811187C2211yescharacteristic
68#16811180C2211yescharacteristic
69#16811157—21no—
70#16811157—21no—
71#16811157C2211yescharacteristic
72C2×#13133205C2211yescharacteristic
73#16811100C2211yescharacteristic
74#16811097C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811016C2211yescharacteristic, complemented
77#16811015C2211yescharacteristic
78#16811015C2211yescharacteristic
79#16811014C2211yescharacteristic, complemented
80#16811009C2211yescharacteristic
81#16811008C2211yescharacteristic
82#16811007C2211yescharacteristic
83#16811007C2211yescharacteristic
84#16811004C2211yescharacteristic, complemented
85#16811001C2211yescharacteristic, complemented
86#16810994C2211yescharacteristic
87#16810990C2211yescharacteristic, complemented
88#16810986C2211yescharacteristic
89#16810985C2211yescharacteristic
90#16810985C2211yescharacteristic
91#16810984C2211yescharacteristic
92#16810981C2211yescharacteristic, complemented
93#16810979C2211yescharacteristic
94#16810978C2211yescharacteristic
95#16810978C2211yescharacteristic
96#16810976C2211yescharacteristic, complemented
97#16810972C2211yescharacteristic, complemented
98#16810968C2211yescharacteristic
99#16810964C2211yescharacteristic
100#16810947C2211yescharacteristic
101#16810933C2211yescharacteristic, complemented
102#16810930C2211yescharacteristic, complemented
103#16810929C2211yescharacteristic, complemented
104#16810926C2211yescharacteristic
105#16810923C2211yescharacteristic, complemented
106#16810922C2211yescharacteristic
107#16810917C2211yescharacteristic, complemented
108#16810912C2211yescharacteristic
109#16810907C2211yescharacteristic, complemented
110#16810902C2211yescharacteristic
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic, complemented
113#16810848C2211yescharacteristic, complemented
114#16810847C2211yescharacteristic
115#16810847C2211yescharacteristic
116#16810846C2211yescharacteristic
117#16810846C2211yescharacteristic
118#16810845C2211yescharacteristic
119#16810845C2211yescharacteristic
120#16810845C2211yescharacteristic
121#16810845C2211yescharacteristic
122#16810845C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810843C2211yescharacteristic, complemented
125#16810843C2211yescharacteristic, complemented
126#16810841C2211yescharacteristic
127#16810841C2211yescharacteristic
128#16810841C2211yescharacteristic
129#16810839C2211yescharacteristic
130#16810839C2211yescharacteristic
131#16810838C2211yescharacteristic, complemented
132#16810837C2211yescharacteristic, complemented
133#16810832C2211yescharacteristic, complemented
134#16810832C2211yescharacteristic, complemented
135#16810832C2211yescharacteristic, complemented
136#16810831C2211yescharacteristic, complemented
137#16810831C2211yescharacteristic, complemented
138#16810827C2211yescharacteristic
139#16810827C2211yescharacteristic
140#16810827C2211yescharacteristic, complemented
141#16810822C2211yescharacteristic
142#16810821C2211yescharacteristic
143#16810821C2211yescharacteristic
144#16810817C2211yescharacteristic
145#16810785C2211yescharacteristic
146#16810781C2211yescharacteristic
147#16810778C2211yescharacteristic
148#16810778C2211yescharacteristic
149#16810776C2211yescharacteristic
150#16810773C2211yescharacteristic
151#16810773C2211yescharacteristic
152#16810768C2211yescharacteristic
153#16810764C2211yescharacteristic
154#16810759C2211yescharacteristic
155#16810753C2211yescharacteristic, complemented
156#16810753C2211yescharacteristic, complemented
157#16810752C2211yescharacteristic, complemented
158#16810752C2211yescharacteristic, complemented
159#16810752C2211yescharacteristic, complemented
160#16810752C2211yescharacteristic, complemented
161C8×Dic106C2211yescharacteristic, complemented
162C8×Dic106C2211yescharacteristic, complemented
163#16810734C2211yescharacteristic
164#16810733C2211yescharacteristic, complemented
165#16810729C2211yescharacteristic, complemented
166#16810728C2211yescharacteristic, complemented
167#16810727C2211yescharacteristic, complemented
168#16810727C2211yescharacteristic, complemented
169#16810726C2211yescharacteristic
170#16810726C2211yescharacteristic
171#16810723C2211yescharacteristic, complemented
172#16810722C2211yescharacteristic
173#16810722C2211yescharacteristic, complemented
174#16810721C2211yescharacteristic, complemented
175#16810717C2211yescharacteristic, complemented
176#16810715C2211yescharacteristic, complemented
177#16810715C2211yescharacteristic, complemented
178#16810710C2211yescharacteristic
179#16810710C2211yescharacteristic, complemented
180#16810708C2211yescharacteristic
181#16810708C2211yescharacteristic
182#16810705C2211yescharacteristic
183#16810681C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810681C2211yescharacteristic
187#16810680C2211yescharacteristic
188C53×#533C2211yescharacteristic
189C4×#41×C53C2211yescharacteristic
190C53×#485C2211yescharacteristic
191C53×#485C2211yescharacteristic
192C53×#475C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#462C2211yescharacteristic, complemented
195C53×#461C2211yescharacteristic, complemented
196C53×#452C2211yescharacteristic
197C53×#452C2211yescharacteristic
198C4×Q16×C53C2211yescharacteristic, complemented
199C4×Q16×C53C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×SD16×C53C2211yescharacteristic, complemented
202C53×#431C2211yescharacteristic
203C22×Dic106C2311yescharacteristic
204C22×D212C2311yescharacteristic
205C2×Dic212C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719913C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×D424C2311yescharacteristic
223C2×D424C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225#13133217D411yescharacteristic
226#13133217D411yescharacteristic
227#13133216—21no—
228#13133216—21no—
229#13133216—21no—
230#13133216C2311yescharacteristic
231#13133216C2311yescharacteristic
232#13133215—21no—
233#13133215—21no—
234#13133215C2311yescharacteristic
235#13133215C2311yescharacteristic
236#13133215C2311yescharacteristic
237#13133215C2311yescharacteristic
238#13133213C2311yescharacteristic
239#13133213C2311yescharacteristic
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133211—21no—
251#13133211—21no—
252#13133211—21no—
253#13133211—21no—
254#13133211—21no—
255#13133211—21no—
256#13133211—21no—
257#13133210—21no—
258#13133210—21no—
259#13133210—21no—
260#13133210—21no—
261#13133209—21no—
262#13133209—21no—
263#13133209D411yescharacteristic
264#13133209D411yescharacteristic
265#13133209C2311yescharacteristic
266#13133208—21no—
267#13133208—21no—
268#13133208—21no—
269#13133208—21no—
270#13133208—21no—
271#13133208C2311yescharacteristic
272#13133208C2311yescharacteristic
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133206C2311yescharacteristic
278#13133206C2311yescharacteristic
279#13133206C2311yescharacteristic
280#13133206C2311yescharacteristic
281#13133205—21no—
282#13133205—21no—
283#13133205C2311yescharacteristic
284#13133205C2311yescharacteristic
285#13133205C2311yescharacteristic
286#13133205C2311yescharacteristic
287#13133205C2311yescharacteristic
288#13133204C2311yescharacteristic
289#13133204C2311yescharacteristic
290#13133203—21no—
291#13133203—21no—
292#13133203—21no—
293#13133203—21no—
294#13133203—21no—
295#13133203—21no—
296#13133200—21no—
297#13133200—21no—
298#13133200—21no—
299#13133200—21no—
300#13133200—21no—
301#13133199—21no—
302#13133199—21no—
303#13133199—21no—
304#13133199—21no—
305#13133199—21no—
306#13133199—21no—
307#13133198—21no—
308#13133198—21no—
309#13133197—21no—
310#13133197—21no—
311#13133197—21no—
312#13133197—21no—
313#13133196—21no—
314#13133196—21no—
315#13133196D411yescharacteristic
316#13133196D411yescharacteristic
317#13133196D411yescharacteristic
318#13133196D411yescharacteristic
319#13133196C2311yescharacteristic
320#13133195—21no—
321#13133195—21no—
322#13133195—21no—
323#13133195—21no—
324#13133195—21no—
325#13133195—21no—
326#13133193—21no—
327#13133193—21no—
328#13133191—21no—
329#13133191—21no—
330#13133191C2311yescharacteristic
331#13133185—21no—
332#13133185—21no—
333Q8×Dic53C2311yescharacteristic
334Q8×Dic53C2311yescharacteristic
335Q8×Dic53C2311yescharacteristic
336Q8×Dic53C2311yescharacteristic
337C4×Dic106—21no—
338C4×Dic106—21no—
339C4×Dic106—21no—
340C4×Dic106—21no—
341C4×Dic106C2311yescharacteristic
342C4×Dic106C2311yescharacteristic
343C4×Dic106C2311yescharacteristic
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346#13133182—21no—
347#13133182—21no—
348#13133182C2311yescharacteristic
349#13133182C2311yescharacteristic
350#13133182C2311yescharacteristic
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353#13133182C2311yescharacteristic
354C4×D212—21no—
355C4×D212—21no—
356C4×D212C2311yescharacteristic
357#13133179C2311yescharacteristic
358#13133179C2311yescharacteristic
359#13133179C2311yescharacteristic
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362#13133179C2311yescharacteristic
363C4×C22⋊D53—21no—
364C4×C22⋊D53—21no—
365C4×C22⋊D53—21no—
366C4×C22⋊D53—21no—
367C4×C22⋊D53—21no—
368#13133176C2311yescharacteristic
369#13133176C2311yescharacteristic
370#13133175—21no—
371#13133174—21no—
372#13133174—21no—
373#13133174—21no—
374#13133174—21no—
375#13133174—21no—
376#13133174—21no—
377#13133174—21no—
378#13133173—21no—
379#13133173—21no—
380C4⋊C4×D53—21no—
381C2×#11719921—21no—
382C2×#11719921—21no—
383C22⋊C4×D53—21no—
384C22⋊C4×D53—21no—
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133128C2311yescharacteristic
426#13133128C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441C4⋊Q8×C53C2311yescharacteristic
442#125×C53—21no—
443C22⋊Q8×C53—21no—
444C22⋊Q8×C53C2311yescharacteristic
445C22⋊Q8×C53C2311yescharacteristic
446C4×Q8×C53—21no—
447C4×Q8×C53C2311yescharacteristic
448C4×Q8×C53C2311yescharacteristic
449C4×Q8×C53C2311yescharacteristic
450C4×Q8×C53C2311yescharacteristic
451C4×D4×C53—21no—
452C4×D4×C53—21no—
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455#117×C53—21no—
456#117×C53—21no—
457#117×C53C2311yescharacteristic
458C2×C42×C53—21no—
459C2×C42×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479#41×C53—41no—
480#41×C53—41no—
481C2×Q8×C53—21no—
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53—21no—
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53C2×D411yescharacteristic
491C22×C4×C53C2×D411yescharacteristic
492C22×C4×C53C2411yescharacteristic
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C22×Dic53—21no—
499C2×D212—21no—
500C2×D212—41no—
501C2×D212—41no—
502C2×D212C2411yescharacteristic
503C2×D212C2411yescharacteristic
504C2×D212C2411yescharacteristic
505C2×C4×D53—21no—
506C2×C4×D53—21no—
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×Dic106—21no—
513C2×Dic106—21no—
514C2×Dic106—21no—
515C2×Dic106—41no—
516C2×Dic106—41no—
517C2×Dic106C2×D411yescharacteristic
518C2×Dic106C2×D411yescharacteristic
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526SD16×C53—41no—
527SD16×C53—41no—
528C2×C8×C53C2411yescharacteristic
529C2×C8×C53C2411yescharacteristic
530C2×C8×C53C2411yescharacteristic
531C2×C8×C53C2411yescharacteristic
532C4⋊C4×C53—21no—
533C4⋊C4×C53—21no—
534C4⋊C4×C53—21no—
535C4⋊C4×C53—21no—
536C4⋊C4×C53—21no—
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53C2411yescharacteristic
542C4⋊C4×C53C2411yescharacteristic
543C4⋊C4×C53C2411yescharacteristic
544C4⋊C4×C53C2411yescharacteristic
545C22⋊C4×C53—21no—
546C22⋊C4×C53—21no—
547C22⋊C4×C53—21no—
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C42×C53—21no—
551C42×C53—21no—
552C42×C53—21no—
553C42×C53—21no—
554C42×C53—21no—
555C42×C53C2×D411yescharacteristic
556C42×C53C2×D411yescharacteristic
557C42×C53C2411yescharacteristic
558C42×C53C2411yescharacteristic
559C22⋊Dic53—21no—
560C22⋊Dic53—21no—
561C22⋊Dic53—21no—
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564C22⋊Dic53C2×D411yescharacteristic
565C22⋊Dic53C2×D411yescharacteristic
566C22⋊Dic53C2×D411yescharacteristic
567C22⋊Dic53C2×D411yescharacteristic
568#11719925—41no—
569#11719925—41no—
570#11719925—41no—
571#11719925—41no—
572#11719925—41no—
573#11719924—41no—
574#11719924—41no—
575#11719924—41no—
576#11719924—41no—
577#11719924—41no—
578#11719923—41no—
579#11719922—41no—
580#11719921—21no—
581#11719921—21no—
582#11719921—21no—
583#11719921—21no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53C2×D411yescharacteristic
613C4⋊Dic53C2×D411yescharacteristic
614C4⋊Dic53C2×D411yescharacteristic
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622#11719919—21no—
623#11719919—21no—
624#11719919—21no—
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53C2411yescharacteristic
664C4×Dic53C2411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C4×Dic53C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670C2×#88322C2411yescharacteristic
671Dic212—41no—
672Dic212—41no—
673D424—41no—
674D424—41no—
675#11719913—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53C22×D411yescharacteristic
681C22×D53—21no—
682C22×D53—21no—
683C22×D53—21no—
684C22×D53—42no—
685C22×D53—81no—
686C22×D53—81no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—81no—
694D4×C53—21no—
695D4×C53—21no—
696D4×C53—42no—
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—41no—
707C2×C4×C53—41no—
708C2×C4×C53—42no—
709C2×C4×C53—81no—
710C2×C4×C53—81no—
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C2511yescharacteristic
717C22⋊D53—81no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—42no—
728C2×Dic53C22×D411yescharacteristic
729C2×Dic53C22×D411yescharacteristic
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736D212—21no—
737D212—21no—
738D212—21no—
739D212—21no—
740D212—21no—
741D212—21no—
742D212—42no—
743C4×D53—42no—
744C4×D53—81no—
745C4×D53—81no—
746C4×D53—81no—
747C4×D53—81no—
748C4×D53—81no—
749C4×D53—81no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—41no—
760Dic106—42no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—21no—
773C22×C53—21no—
774C22×C53—21no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53C23×D411yescharacteristic
779C2×D53—41no—
780C2×D53—41no—
781C2×D53—41no—
782C2×D53—41no—
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—41no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53—41no—
800C4×C53—41no—
801C4×C53#58511yescharacteristic
802C4×C53#58511yescharacteristic
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—21no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107D5311yescharacteristic, complemented
846#2985—531no—
847C2×C53—41no—
848C2×C53—81no—
849C2×C53#348711yescharacteristic
850C2×C53#358411yescharacteristic
851C2×C53#358611yescharacteristic
852D53—81no—
853D53—81no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559—531no—
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554—531no—
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533C2×D5311yescharacteristic
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41C2×D5311yescharacteristic
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497—531no—
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
922#487—531no—
923#486—531no—
924#485—531no—
925#485C2×D5311yescharacteristic
926#485C2×D5311yescharacteristic
927#482—531no—
928#479—531no—
929#479—531no—
930#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475C2×D5311yescharacteristic, complemented
938#474—531no—
939#474C2×D5311yescharacteristic, complemented
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462C2×D5311yescharacteristic, complemented
968#461—531no—
969#461—531no—
970#461—531no—
971#461C2×D5311yescharacteristic, complemented
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452C2×D5311yescharacteristic
978#452C2×D5311yescharacteristic
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446—531no—
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442—531no—
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440—531no—
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16C2×D5311yescharacteristic, complemented
1012C4×Q16C2×D5311yescharacteristic, complemented
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16C2×D5311yescharacteristic, complemented
1018C4×SD16C2×D5311yescharacteristic, complemented
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433—531no—
1024#432—531no—
1025#431C2×D5311yescharacteristic
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41C22×D5311yescharacteristic
1028C22×Q8—531no—
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16—531no—
1037C2×Q16C22×D5311yescharacteristic
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16C22×D5311yescharacteristic
1050C2×SD16C22×D5311yescharacteristic
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8C22×D5311yescharacteristic
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127—531no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—21no—
1093#125—531no—
1094#125—531no—
1095#125—531no—
1096#125—531no—
1097#125—531no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125—1061no—
1108#125—1061no—
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—531no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#123—1061no—
1129#123—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141C22⋊Q8—21no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8C22×D5311yescharacteristic
1162C22⋊Q8C22×D5311yescharacteristic
1163#121—531no—
1164#121—1061no—
1165#121—1061no—
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—21no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—21no—
1213#117—21no—
1214#117—531no—
1215#117—531no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117C22×D5311yescharacteristic
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—21no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107C22×D5311yescharacteristic
1237#107C22×D5311yescharacteristic
1238#106—531no—
1239#106—531no—
1240#106C22×D5311yescharacteristic
1241#106C22×D5311yescharacteristic
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103C22×D5311yescharacteristic
1267#103C22×D5311yescharacteristic
1268#103C22×D5311yescharacteristic
1269#103C22×D5311yescharacteristic
1270#103C22×D5311yescharacteristic
1271#103C22×D5311yescharacteristic
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8C22×D5311yescharacteristic
1289C22⋊C8C22×D5311yescharacteristic
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97—531no—
1295#97—531no—
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8C22×D5311yescharacteristic
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—21no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8—2121no—
1317C2×Q8—2121no—
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—531no—
1323C2×D4—531no—
1324C2×D4—531no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—1061no—
1331C2×D4—2121no—
1332C2×D4—2121no—
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—1061no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4D4×D5311yescharacteristic
1346C22×C4D4×D5311yescharacteristic
1347C22×C4C23×D5311yescharacteristic
1348Q16—41no—
1349Q16—41no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—2121no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—531no—
1445C22⋊C4—531no—
1446C22⋊C4—531no—
1447C22⋊C4—531no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—531no—
1485C42—531no—
1486C42—531no—
1487C42—531no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42D4×D5311yescharacteristic
1500C42D4×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—1061no—
1505C23—1061no—
1506C23—1061no—
1507C23—4241no—
1508C23—4241no—
1509C23—2122no—
1510C23C2×D4×D5311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—81no—
1518Q8—1061no—
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—2121no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2122no—
1531D4—21no—
1532D4—21no—
1533D4—42no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—42no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—4241no—
1577C2×C4—4241no—
1578C2×C4—4241no—
1579C2×C4—2122no—
1580C2×C4—2122no—
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C2×D4×D5311yescharacteristic
1584C2×C4C2×D4×D5311yescharacteristic
1585C2×C4C2×D4×D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—8482no—
1602C22—2121no—
1603C22—2121no—
1604C22—2121no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—1061no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145911yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—4241no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028836911yescharacteristic
1645C2#2028948411yescharacteristic
1646C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3107C2
socleC22×C53C23×D4
prime radical#20285815C2
hypercenter#3107D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3107

Complements

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

NH ≅ G/Ntype
1. #20289197C2semidirect
2. #20288611C2semidirect
3. #20287792C2semidirect
4. #20287789C2semidirect
5. #20287788C2semidirect
6. #20287777C2semidirect
7. #20287763C2semidirect
8. #20287741C2semidirect
9. #20287712C2semidirect
10. #20287703C2semidirect
11. #20287553C2semidirect
12. #20287549C2semidirect
13. #20287532C2semidirect
14. #20287479C2semidirect
15. #20287475C2semidirect
16. #20287458C2semidirect
17. #20287412C2semidirect
18. #20287401C2semidirect
19. #20285828C2semidirect
21. #20285796C2semidirect
22. #20285785C2semidirect
23. #20285714C2semidirect
24. #20285682C2semidirect
25. #20285011C2semidirect
26. #20284963C2semidirect
27. #20284947C2semidirect
28. #20284902C2semidirect
29. #20284824C2semidirect
30. #20283809C2semidirect
31. C53×#3107C2semidirect
38. #16811353C22semidirect
39. #16811349C22semidirect
40. #16811349C22semidirect
41. #16811348C22semidirect
42. #16811347C22semidirect
47. #16811345C22semidirect
48. #16811345C22semidirect
50. #16811334C22semidirect
76. #16811016C22semidirect
79. #16811014C22semidirect
84. #16811004C22semidirect
85. #16811001C22semidirect
87. #16810990C22semidirect
92. #16810981C22semidirect
96. #16810976C22semidirect
97. #16810972C22semidirect
101. #16810933C22semidirect
102. #16810930C22semidirect
103. #16810929C22semidirect
105. #16810923C22semidirect
107. #16810917C22semidirect
109. #16810907C22semidirect
112. #16810848C22semidirect
113. #16810848C22semidirect
122. #16810845C22semidirect
123. #16810844C22semidirect
124. #16810843C22semidirect
125. #16810843C22semidirect
131. #16810838C22semidirect
132. #16810837C22semidirect
133. #16810832C22semidirect
134. #16810832C22semidirect
135. #16810832C22semidirect
136. #16810831C22semidirect
137. #16810831C22semidirect
140. #16810827C22semidirect
155. #16810753C22semidirect
156. #16810753C22semidirect
157. #16810752C22semidirect
158. #16810752C22semidirect
159. #16810752C22semidirect
160. #16810752C22semidirect
161. C8×Dic106C22semidirect
162. C8×Dic106C22semidirect
164. #16810733C22semidirect
165. #16810729C22semidirect
166. #16810728C22semidirect
167. #16810727C22semidirect
168. #16810727C22semidirect
171. #16810723C22semidirect
173. #16810722C22semidirect
174. #16810721C22semidirect
175. #16810717C22semidirect
176. #16810715C22semidirect
177. #16810715C22semidirect
179. #16810710C22semidirect
192. C53×#475C22semidirect
193. C53×#474C22semidirect
194. C53×#462C22semidirect
195. C53×#461C22semidirect
198. C4×Q16×C53C22semidirect
199. C4×Q16×C53C22semidirect
200. C4×SD16×C53C22semidirect
201. C4×SD16×C53C22semidirect
845. #3107D53semidirect
937. #475C2×D53semidirect
939. #474C2×D53semidirect
967. #462C2×D53semidirect
971. #461C2×D53semidirect
1011. C4×Q16C2×D53semidirect
1012. C4×Q16C2×D53semidirect
1017. C4×SD16C2×D53semidirect
1018. C4×SD16C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202891972
#202886112
#202877922
#202877892
#202877882
#202877772
#202877632
#202877412
#202877122
#202877032
#202875532
#202875492
#202875322
#202874792
#202874752
#202874582
#202874122
#202874012
#202858282
#202858152
#202857962
#202857852
#202857142
#202856822
#202850112
#202849632
#202849472
#202849022
#202848242
#202838092
C53×#31072
#6192553