Finite Group Databasebeta

← #28275835

Subgroups — #28275835

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#20289193C211yesmaximal, characteristic, complemented
2#20288612C211yesmaximal, characteristic, complemented
3#20287792C211yesmaximal, characteristic, complemented
4#20287789C211yesmaximal, characteristic, complemented
5#20287782C211yesmaximal, characteristic, complemented
6#20287782C211yesmaximal, characteristic, complemented
7#20287772C211yesmaximal, characteristic, complemented
8#20287741C211yesmaximal, characteristic, complemented
9#20287710C211yesmaximal, characteristic, complemented
10#20287703C211yesmaximal, characteristic, complemented
11#20287562C211yesmaximal, characteristic, complemented
12#20287540C211yesmaximal, characteristic, complemented
13#20287527C211yesmaximal, characteristic, complemented
14#20287486C211yesmaximal, characteristic, complemented
15#20287471C211yesmaximal, characteristic, complemented
16#20287456C211yesmaximal, characteristic, complemented
17#20287409C211yesmaximal, characteristic, complemented
18#20287403C211yesmaximal, characteristic, complemented
19#20285830C211yesmaximal, characteristic, complemented
20#20285811C211yesmaximal, characteristic
21#20285794C211yesmaximal, characteristic, complemented
22#20285781C211yesmaximal, characteristic, complemented
23#20285717C211yesmaximal, characteristic, complemented
24#20285685C211yesmaximal, characteristic, complemented
25#20284963C211yesmaximal, characteristic, complemented
26#20284944C211yesmaximal, characteristic, complemented
27#20284902C211yesmaximal, characteristic, complemented
28#20284827C211yesmaximal, characteristic, complemented
29#20284781C211yesmaximal, characteristic, complemented
30#20283807C211yesmaximal, characteristic, complemented
31C53×#3127C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811375—21no—
34#16811358C2211yescharacteristic
35#16811358C2211yescharacteristic
36#16811358C2211yescharacteristic
37#16811358C2211yescharacteristic
38Q8×Dic106C2211yescharacteristic, complemented
39#16811352C2211yescharacteristic, complemented
40#16811350C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811347C2211yescharacteristic, complemented
43#16811345C2211yescharacteristic
44#16811345C2211yescharacteristic
45#16811345C2211yescharacteristic
46#16811345C2211yescharacteristic
47#16811345C2211yescharacteristic, complemented
48#16811345C2211yescharacteristic, complemented
49#16811340—21no—
50#16811329C2211yescharacteristic, complemented
51#16811309—21no—
52#16811297—21no—
53#16811297—21no—
54#16811297—21no—
55#16811297—21no—
56#16811253—21no—
57#16811246C2211yescharacteristic
58#16811245—21no—
59#16811245—21no—
60#16811244C2211yescharacteristic
61#16811236—21no—
62#16811233C2211yescharacteristic
63#16811232—21no—
64#16811232—21no—
65#16811197C2211yescharacteristic
66#16811192C2211yescharacteristic
67#16811176C2211yescharacteristic
68#16811175C2211yescharacteristic
69#16811160—21no—
70#16811160—21no—
71#16811159C2211yescharacteristic
72C2×#13133206C2211yescharacteristic
73#16811097C2211yescharacteristic
74#16811091C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811016C2211yescharacteristic
77#16811016C2211yescharacteristic, complemented
78#16811016C2211yescharacteristic, complemented
79#16811015C2211yescharacteristic
80#16811012C2211yescharacteristic
81#16811008C2211yescharacteristic
82#16811008C2211yescharacteristic
83#16811008C2211yescharacteristic, complemented
84#16811007C2211yescharacteristic
85#16811001C2211yescharacteristic, complemented
86#16810997C2211yescharacteristic
87#16810990C2211yescharacteristic, complemented
88#16810989C2211yescharacteristic
89#16810984C2211yescharacteristic
90#16810984C2211yescharacteristic
91#16810984C2211yescharacteristic, complemented
92#16810983C2211yescharacteristic
93#16810980C2211yescharacteristic
94#16810979C2211yescharacteristic
95#16810979C2211yescharacteristic
96#16810979C2211yescharacteristic, complemented
97#16810972C2211yescharacteristic, complemented
98#16810970C2211yescharacteristic
99#16810964C2211yescharacteristic
100#16810947C2211yescharacteristic
101#16810933C2211yescharacteristic, complemented
102#16810926C2211yescharacteristic
103#16810926C2211yescharacteristic, complemented
104#16810922C2211yescharacteristic
105#16810918C2211yescharacteristic, complemented
106#16810912C2211yescharacteristic
107#16810908C2211yescharacteristic, complemented
108#16810907C2211yescharacteristic, complemented
109#16810902C2211yescharacteristic
110#16810902C2211yescharacteristic, complemented
111#16810848C2211yescharacteristic
112#16810848C2211yescharacteristic
113#16810848C2211yescharacteristic, complemented
114#16810848C2211yescharacteristic, complemented
115#16810847C2211yescharacteristic
116#16810847C2211yescharacteristic
117#16810847C2211yescharacteristic
118#16810847C2211yescharacteristic
119#16810847C2211yescharacteristic, complemented
120#16810847C2211yescharacteristic, complemented
121#16810846C2211yescharacteristic
122#16810845C2211yescharacteristic
123#16810845C2211yescharacteristic
124#16810845C2211yescharacteristic, complemented
125#16810845C2211yescharacteristic, complemented
126#16810841C2211yescharacteristic
127#16810841C2211yescharacteristic
128#16810841C2211yescharacteristic
129#16810841C2211yescharacteristic
130#16810841C2211yescharacteristic, complemented
131#16810841C2211yescharacteristic, complemented
132#16810839C2211yescharacteristic
133#16810832C2211yescharacteristic, complemented
134#16810832C2211yescharacteristic, complemented
135#16810831C2211yescharacteristic, complemented
136#16810831C2211yescharacteristic, complemented
137#16810827C2211yescharacteristic
138#16810827C2211yescharacteristic
139#16810827C2211yescharacteristic, complemented
140#16810827C2211yescharacteristic, complemented
141#16810824C2211yescharacteristic
142#16810823C2211yescharacteristic
143#16810823C2211yescharacteristic
144#16810819C2211yescharacteristic
145#16810787C2211yescharacteristic
146#16810783C2211yescharacteristic
147#16810783C2211yescharacteristic
148#16810779C2211yescharacteristic
149#16810776C2211yescharacteristic
150#16810773C2211yescharacteristic
151#16810773C2211yescharacteristic
152#16810770C2211yescharacteristic
153#16810762C2211yescharacteristic
154#16810759C2211yescharacteristic
155#16810753C2211yescharacteristic, complemented
156#16810752C2211yescharacteristic, complemented
157#16810752C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159#16810751C2211yescharacteristic, complemented
160#16810750C2211yescharacteristic, complemented
161C8×Dic106C2211yescharacteristic, complemented
162#16810747C2211yescharacteristic, complemented
163#16810734C2211yescharacteristic
164#16810734C2211yescharacteristic, complemented
165#16810728C2211yescharacteristic, complemented
166#16810727C2211yescharacteristic, complemented
167#16810726C2211yescharacteristic
168#16810726C2211yescharacteristic
169#16810726C2211yescharacteristic, complemented
170#16810722C2211yescharacteristic
171#16810722C2211yescharacteristic, complemented
172#16810721C2211yescharacteristic, complemented
173#16810717C2211yescharacteristic, complemented
174C4×#11719925C2211yescharacteristic, complemented
175#16810715C2211yescharacteristic, complemented
176C4×#11719924C2211yescharacteristic, complemented
177#16810710C2211yescharacteristic
178#16810710C2211yescharacteristic, complemented
179#16810708C2211yescharacteristic
180#16810708C2211yescharacteristic
181#16810708C2211yescharacteristic, complemented
182#16810705C2211yescharacteristic
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810677C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#541C2211yescharacteristic
189C53×#519C2211yescharacteristic
190C53×#485C2211yescharacteristic
191C53×#485C2211yescharacteristic
192C53×#479C2211yescharacteristic, complemented
193C53×#479C2211yescharacteristic, complemented
194C53×#462C2211yescharacteristic, complemented
195C53×#462C2211yescharacteristic, complemented
196C53×#451C2211yescharacteristic
197C53×#451C2211yescharacteristic
198C53×#441C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C4×Q16×C53C2211yescharacteristic, complemented
201C4×Q16×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic
203C2×#11719945C2311yescharacteristic
204C22×D212C2311yescharacteristic
205C2×Dic212C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719913C2311yescharacteristic
212C2×#11719913C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719924C2311yescharacteristic
215C2×#11719924C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×D424C2311yescharacteristic
223C2×D424C2311yescharacteristic
224C2×D424C2311yescharacteristic
225#13133217—21no—
226#13133217—21no—
227#13133217C2311yescharacteristic
228#13133216—21no—
229#13133216—21no—
230#13133216—21no—
231#13133216D411yescharacteristic
232#13133216D411yescharacteristic
233#13133216C2311yescharacteristic
234#13133216C2311yescharacteristic
235#13133215C2311yescharacteristic
236#13133215C2311yescharacteristic
237#13133215C2311yescharacteristic
238#13133215C2311yescharacteristic
239#13133214C2311yescharacteristic
240#13133214C2311yescharacteristic
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#13133212—21no—
251#13133212—21no—
252#13133211—21no—
253#13133211—21no—
254#13133211—21no—
255#13133211—21no—
256#13133211—21no—
257#13133211—21no—
258#13133210—21no—
259#13133210—21no—
260#13133208—21no—
261#13133208—21no—
262#13133208—21no—
263#13133208—21no—
264#13133208D411yescharacteristic
265#13133208D411yescharacteristic
266#13133208C2311yescharacteristic
267#13133208C2311yescharacteristic
268#13133207—21no—
269#13133207—21no—
270#13133207—21no—
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133206—21no—
275#13133206—21no—
276#13133206C2311yescharacteristic
277#13133206C2311yescharacteristic
278#13133206C2311yescharacteristic
279#13133206C2311yescharacteristic
280#13133206C2311yescharacteristic
281#13133206C2311yescharacteristic
282#13133206C2311yescharacteristic
283#13133206C2311yescharacteristic
284#13133205—21no—
285#13133205—21no—
286#13133205—21no—
287#13133205—21no—
288#13133205C2311yescharacteristic
289#13133205C2311yescharacteristic
290#13133205C2311yescharacteristic
291#13133203—21no—
292#13133203—21no—
293#13133202—21no—
294#13133202—21no—
295#13133202—21no—
296#13133202—21no—
297#13133202—21no—
298#13133202—21no—
299#13133202—21no—
300#13133202—21no—
301#13133201—21no—
302#13133200—21no—
303#13133200—21no—
304#13133199—21no—
305#13133199—21no—
306#13133197—21no—
307#13133197—21no—
308#13133197—21no—
309#13133196C2311yescharacteristic
310#13133195—21no—
311#13133195—21no—
312#13133195—21no—
313#13133195—21no—
314#13133195—21no—
315#13133195—21no—
316#13133195—21no—
317#13133195—21no—
318#13133195—21no—
319#13133194—21no—
320#13133194D411yescharacteristic
321#13133194D411yescharacteristic
322#13133194D411yescharacteristic
323#13133194D411yescharacteristic
324#13133193—21no—
325#13133193—21no—
326#13133192—21no—
327#13133192—21no—
328#13133191C2311yescharacteristic
329#13133187—21no—
330#13133187—21no—
331Q8×Dic53C2311yescharacteristic
332Q8×Dic53C2311yescharacteristic
333Q8×Dic53C2311yescharacteristic
334Q8×Dic53C2311yescharacteristic
335C4×Dic106—21no—
336C4×Dic106—21no—
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341C4×Dic106C2311yescharacteristic
342#13133182—21no—
343#13133182—21no—
344#13133182—21no—
345#13133182C2311yescharacteristic
346#13133182C2311yescharacteristic
347#13133182C2311yescharacteristic
348#13133182C2311yescharacteristic
349C4×D212—21no—
350C4×D212—21no—
351C4×D212—21no—
352C4×D212—21no—
353C4×D212—21no—
354C4×D212—21no—
355C4×D212C2311yescharacteristic
356#13133179C2311yescharacteristic
357#13133179C2311yescharacteristic
358#13133179C2311yescharacteristic
359#13133179C2311yescharacteristic
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362#13133179C2311yescharacteristic
363#13133179C2311yescharacteristic
364#13133177—21no—
365#13133177—21no—
366#13133177—21no—
367#13133176C2311yescharacteristic
368#13133175—21no—
369#13133175—21no—
370#13133174—21no—
371#13133174—21no—
372#13133174—21no—
373#13133174—21no—
374#13133174—21no—
375#13133174—21no—
376#13133174—21no—
377#13133173—21no—
378C4⋊C4×D53—21no—
379C2×#11719921—21no—
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C2×C4×Dic53C2311yescharacteristic
384C42×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#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133128C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×Q8×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#126×C53—21no—
442#126×C53—21no—
443#125×C53—21no—
444#125×C53—21no—
445#125×C53C2311yescharacteristic
446C22⋊Q8×C53C2311yescharacteristic
447C22⋊Q8×C53C2311yescharacteristic
448C4×Q8×C53—21no—
449C4×Q8×C53—21no—
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456#117×C53—21no—
457#117×C53—21no—
458#117×C53C2311yescharacteristic
459#117×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#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53—21no—
480C2×Q8×C53—41no—
481C2×Q8×C53—41no—
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×Q8×C53C2411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C22×C4×C53—21no—
487C22×C4×C53C2411yescharacteristic
488C2×C22⋊D53—21no—
489C2×C22⋊D53—21no—
490C22×Dic53C2×D411yescharacteristic
491C22×Dic53C2×D411yescharacteristic
492#11719945—41no—
493#11719945—41no—
494C2×D212—21no—
495C2×D212—21no—
496C2×D212—21no—
497C2×D212—21no—
498C2×D212—21no—
499C2×D212—41no—
500C2×D212—41no—
501C2×D212C2411yescharacteristic
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×C4×D53—21no—
513C2×C4×D53—21no—
514C2×C4×D53—21no—
515C2×Dic106—21no—
516C2×Dic106—21no—
517C2×Dic106—21no—
518C2×Dic106C2×D411yescharacteristic
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2×D411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526Q16×C53—41no—
527Q16×C53—41no—
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×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53—21no—
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2×D411yescharacteristic
546C4⋊C4×C53C2411yescharacteristic
547C4⋊C4×C53C2411yescharacteristic
548C4⋊C4×C53C2411yescharacteristic
549C4⋊C4×C53C2411yescharacteristic
550C22⋊C4×C53—21no—
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C22⋊C4×C53C2×D411yescharacteristic
554C22⋊C4×C53C2×D411yescharacteristic
555C42×C53—21no—
556C42×C53—21no—
557C42×C53—21no—
558C42×C53—21no—
559C42×C53—21no—
560C42×C53—21no—
561C42×C53—21no—
562C42×C53C2411yescharacteristic
563C42×C53C2411yescharacteristic
564C22⋊Dic53—21no—
565C22⋊Dic53C2×D411yescharacteristic
566C22⋊Dic53C2×D411yescharacteristic
567#11719925—41no—
568#11719925—41no—
569#11719925—41no—
570#11719925—41no—
571#11719924—41no—
572#11719924—41no—
573#11719924—41no—
574#11719924—41no—
575#11719924—41no—
576#11719924—41no—
577#11719924—41no—
578#11719924—41no—
579#11719921—21no—
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—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
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×Dic53C2×D411yescharacteristic
662C4×Dic53C2×D411yescharacteristic
663C4×Dic53C2411yescharacteristic
664C4×Dic53C2411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C4×Dic53C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670C2×#88322C2411yescharacteristic
671Dic212—41no—
672D424—41no—
673D424—41no—
674D424—41no—
675#11719913—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53C22×D411yescharacteristic
680C22×D53—21no—
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—21no—
694Q8×C53—21no—
695Q8×C53—42no—
696C2×C4×C53—21no—
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—42no—
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C2511yescharacteristic
713C22⋊D53—42no—
714C22⋊D53—81no—
715C2×Dic53—21no—
716C2×Dic53—21no—
717C2×Dic53—21no—
718C2×Dic53—21no—
719C2×Dic53—41no—
720C2×Dic53—41no—
721C2×Dic53C22×D411yescharacteristic
722C2×Dic53C22×D411yescharacteristic
723C2×Dic53C22×D411yescharacteristic
724C2×Dic53C22×D411yescharacteristic
725C2×Dic53C22×D411yescharacteristic
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728C2×Dic53C22×D411yescharacteristic
729D212—21no—
730D212—21no—
731D212—21no—
732D212—21no—
733D212—21no—
734D212—21no—
735D212—21no—
736D212—21no—
737D212—42no—
738D212—81no—
739D212—81no—
740D212—81no—
741D212—81no—
742C4×D53—42no—
743C4×D53—42no—
744C4×D53—81no—
745C4×D53—81no—
746C4×D53—81no—
747C4×D53—81no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—41no—
760Dic106—81no—
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×C53C23×D411yescharacteristic
776C2×D53—41no—
777C2×D53—41no—
778C2×D53—41no—
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—41no—
802C4×C53#58511yescharacteristic
803C4×C53#58511yescharacteristic
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—21no—
810Dic53—21no—
811Dic53—21no—
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#3127D5311yescharacteristic, complemented
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985—531no—
847C2×C53—41no—
848C2×C53#348711yescharacteristic
849C2×C53#358411yescharacteristic
850C2×C53#358611yescharacteristic
851D53—81no—
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—1061no—
886#541—1061no—
887#541—1061no—
888#541C2×D5311yescharacteristic
889#536—531no—
890#535—531no—
891#533—531no—
892#533—531no—
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519C2×D5311yescharacteristic
898#518—531no—
899C4×#41—531no—
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#479C2×D5311yescharacteristic, complemented
930#479C2×D5311yescharacteristic, complemented
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#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#462C2×D5311yescharacteristic, complemented
967#462C2×D5311yescharacteristic, complemented
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452—531no—
978#452—531no—
979#451—531no—
980#451C2×D5311yescharacteristic
981#451C2×D5311yescharacteristic
982#450—531no—
983#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#441C2×D5311yescharacteristic, complemented
1001#441C2×D5311yescharacteristic, complemented
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×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433C2×D5311yescharacteristic
1024#432—531no—
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41—531no—
1028C22×Q8C22×D5311yescharacteristic
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16C22×D5311yescharacteristic
1036C2×Q16C22×D5311yescharacteristic
1037C2×Q16C22×D5311yescharacteristic
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
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—531no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8—1061no—
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127—531no—
1071#126—21no—
1072#126—21no—
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—21no—
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#125C22×D5311yescharacteristic
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—531no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—1061no—
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—21no—
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—1061no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8C22×D5311yescharacteristic
1189C4×Q8C22×D5311yescharacteristic
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—531no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212#117—21no—
1213#117—21no—
1214#117—531no—
1215#117—1061no—
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#117C22×D5311yescharacteristic
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—531no—
1233C2×C42—1061no—
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#103C22×D5311yescharacteristic
1265#103C22×D5311yescharacteristic
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#102—531no—
1285#102—531no—
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#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—2121no—
1304#41—2121no—
1305C2×Q8—21no—
1306C2×Q8—41no—
1307C2×Q8—41no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—531no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8—1061no—
1317C2×Q8C23×D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—531no—
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—1061no—
1332C2×D4—2121no—
1333C2×D4—2121no—
1334C22×C4—21no—
1335C22×C4—531no—
1336C22×C4—531no—
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×C4—1061no—
1346C22×C4—1061no—
1347C22×C4C23×D5311yescharacteristic
1348Q16—41no—
1349Q16—41no—
1350Q16—41no—
1351Q16—41no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—2121no—
1358SD16—2121no—
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—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
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—531no—
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⋊C4D4×D5311yescharacteristic
1434C4⋊C4D4×D5311yescharacteristic
1435C4⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—531no—
1443C22⋊C4—531no—
1444C22⋊C4—1061no—
1445C22⋊C4—1061no—
1446C22⋊C4—1061no—
1447C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1478C22⋊C4D4×D5311yescharacteristic
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—531no—
1487C42—531no—
1488C42—531no—
1489C42—531no—
1490C42—531no—
1491C42—531no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—1061no—
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—21no—
1518Q8—21no—
1519Q8—42no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2121no—
1531D4—1061no—
1532D4—1061no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—2122no—
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—21no—
1556C2×C4—42no—
1557C2×C4—531no—
1558C2×C4—531no—
1559C2×C4—531no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—531no—
1564C2×C4—531no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—4241no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—4241no—
1577C2×C4—2122no—
1578C2×C4—2122no—
1579C2×C4—2121no—
1580C2×C4—2121no—
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—8482no—
1599C22—2121no—
1600C22—2121no—
1601C22—2121no—
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—41no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—1061no—
1631C4—1061no—
1632C4—1061no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145911yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—41no—
1640C2—4241no—
1641C2—4241no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028836911yescharacteristic
1645C2#2028948511yescharacteristic
1646C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3127C2
socleC22×C53C23×D4
prime radical#20285811C2
hypercenter#3127D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3127

Complements

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

NH ≅ G/Ntype
1. #20289193C2semidirect
2. #20288612C2semidirect
3. #20287792C2semidirect
4. #20287789C2semidirect
5. #20287782C2semidirect
6. #20287782C2semidirect
7. #20287772C2semidirect
8. #20287741C2semidirect
9. #20287710C2semidirect
10. #20287703C2semidirect
11. #20287562C2semidirect
12. #20287540C2semidirect
13. #20287527C2semidirect
14. #20287486C2semidirect
15. #20287471C2semidirect
16. #20287456C2semidirect
17. #20287409C2semidirect
18. #20287403C2semidirect
19. #20285830C2semidirect
21. #20285794C2semidirect
22. #20285781C2semidirect
23. #20285717C2semidirect
24. #20285685C2semidirect
25. #20284963C2semidirect
26. #20284944C2semidirect
27. #20284902C2semidirect
28. #20284827C2semidirect
29. #20284781C2semidirect
30. #20283807C2semidirect
31. C53×#3127C2semidirect
38. Q8×Dic106C22semidirect
39. #16811352C22semidirect
40. #16811350C22semidirect
41. #16811348C22semidirect
42. #16811347C22semidirect
47. #16811345C22semidirect
48. #16811345C22semidirect
50. #16811329C22semidirect
77. #16811016C22semidirect
78. #16811016C22semidirect
83. #16811008C22semidirect
85. #16811001C22semidirect
87. #16810990C22semidirect
91. #16810984C22semidirect
96. #16810979C22semidirect
97. #16810972C22semidirect
101. #16810933C22semidirect
103. #16810926C22semidirect
105. #16810918C22semidirect
107. #16810908C22semidirect
108. #16810907C22semidirect
110. #16810902C22semidirect
113. #16810848C22semidirect
114. #16810848C22semidirect
119. #16810847C22semidirect
120. #16810847C22semidirect
124. #16810845C22semidirect
125. #16810845C22semidirect
130. #16810841C22semidirect
131. #16810841C22semidirect
133. #16810832C22semidirect
134. #16810832C22semidirect
135. #16810831C22semidirect
136. #16810831C22semidirect
139. #16810827C22semidirect
140. #16810827C22semidirect
155. #16810753C22semidirect
156. #16810752C22semidirect
157. #16810752C22semidirect
158. #16810751C22semidirect
159. #16810751C22semidirect
160. #16810750C22semidirect
161. C8×Dic106C22semidirect
162. #16810747C22semidirect
164. #16810734C22semidirect
165. #16810728C22semidirect
166. #16810727C22semidirect
169. #16810726C22semidirect
171. #16810722C22semidirect
172. #16810721C22semidirect
173. #16810717C22semidirect
174. C4×#11719925C22semidirect
175. #16810715C22semidirect
176. C4×#11719924C22semidirect
178. #16810710C22semidirect
181. #16810708C22semidirect
192. C53×#479C22semidirect
193. C53×#479C22semidirect
194. C53×#462C22semidirect
195. C53×#462C22semidirect
198. C53×#441C22semidirect
199. C53×#441C22semidirect
200. C4×Q16×C53C22semidirect
201. C4×Q16×C53C22semidirect
840. #3127D53semidirect
929. #479C2×D53semidirect
930. #479C2×D53semidirect
966. #462C2×D53semidirect
967. #462C2×D53semidirect
1000. #441C2×D53semidirect
1001. #441C2×D53semidirect
1011. C4×Q16C2×D53semidirect
1012. C4×Q16C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202891932
#202886122
#202877922
#202877892
#202877822
#202877722
#202877412
#202877102
#202877032
#202875622
#202875402
#202875272
#202874862
#202874712
#202874562
#202874092
#202874032
#202858302
#202858112
#202857942
#202857812
#202857172
#202856852
#202849632
#202849442
#202849022
#202848272
#202847812
#202838072
C53×#31272
#6192553