Finite Group Databasebeta

← D53×#3242 #28256289

Subgroups — D53×#3242 #28256289

Order 13568.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#544×D53C211yesmaximal, characteristic
2#541×D53C211yesmaximal, characteristic
3#20285990C211yesmaximal, characteristic, complemented
4#20285989C211yesmaximal, characteristic, complemented
5#20285988C211yesmaximal, characteristic, complemented
6#20285987C211yesmaximal, characteristic, complemented
7#20285986C211yesmaximal, characteristic, complemented
8#20285985C211yesmaximal, characteristic, complemented
9#20285984C211yesmaximal, characteristic, complemented
10#20285983C211yesmaximal, characteristic, complemented
11#20285982C211yesmaximal, characteristic, complemented
12#20285981C211yesmaximal, characteristic, complemented
13#20285980C211yesmaximal, characteristic, complemented
14#20285979C211yesmaximal, characteristic, complemented
15#20285978C211yesmaximal, characteristic, complemented
16#20285977C211yesmaximal, characteristic, complemented
17#20285976C211yesmaximal, characteristic, complemented
18#501×D53C211yesmaximal, characteristic, complemented
19#499×D53C211yesmaximal, characteristic, complemented
20#491×D53C211yesmaximal, characteristic, complemented
21#487×D53C211yesmaximal, characteristic, complemented
22#484×D53C211yesmaximal, characteristic
23#485×D53C211yesmaximal, characteristic
24#485×D53C211yesmaximal, characteristic
25#483×D53C211yesmaximal, characteristic
26#479×D53C211yesmaximal, characteristic, complemented
27#479×D53C211yesmaximal, characteristic, complemented
28#477×D53C211yesmaximal, characteristic, complemented
29#475×D53C211yesmaximal, characteristic, complemented
30#433×D53C211yesmaximal, characteristic
31C53×#3242C211yesmaximal, characteristic, complemented
32#16811254C2211yescharacteristic
33#16811253—21no—
34#16811253C2211yescharacteristic
35#16811253C2211yescharacteristic
36#16811252—21no—
37#16811252—21no—
38#16811251C2211yescharacteristic
39#16811251C2211yescharacteristic
40#16811250—21no—
41#16811250C2211yescharacteristic
42#16811250C2211yescharacteristic
43#16811236C2211yescharacteristic
44#16811235C2211yescharacteristic
45#16811234C2211yescharacteristic
46#16811233C2211yescharacteristic
47#16811233C2211yescharacteristic
48#16811232—21no—
49#16811232—21no—
50#16811231C2211yescharacteristic
51#16811231C2211yescharacteristic
52#16811230—21no—
53#16811230—21no—
54C4⋊Q8×D53—21no—
55C4⋊Q8×D53C2211yescharacteristic
56C4⋊Q8×D53C2211yescharacteristic
57C4⋊Q8×D53C2211yescharacteristic
58#126×D53—21no—
59#126×D53—21no—
60#125×D53—21no—
61#125×D53—21no—
62#125×D53—21no—
63#125×D53C2211yescharacteristic
64#125×D53C2211yescharacteristic
65#125×D53C2211yescharacteristic
66C22⋊Q8×D53—21no—
67C22⋊Q8×D53—21no—
68C22⋊Q8×D53C2211yescharacteristic
69C22⋊Q8×D53C2211yescharacteristic
70C4×Q8×D53C2211yescharacteristic
71C4×Q8×D53C2211yescharacteristic
72#117×D53C2211yescharacteristic
73#117×D53C2211yescharacteristic
74C2×C4⋊C4×D53C2211yescharacteristic
75#16811033C2211yescharacteristic, complemented
76#16811032C2211yescharacteristic, complemented
77#16811031C2211yescharacteristic, complemented
78#16811031C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811030C2211yescharacteristic, complemented
81#16811029C2211yescharacteristic, complemented
82#16811025C2211yescharacteristic, complemented
83#16811024C2211yescharacteristic, complemented
84#16811024C2211yescharacteristic, complemented
85#16811023C2211yescharacteristic, complemented
86#16811023C2211yescharacteristic, complemented
87#16811022C2211yescharacteristic, complemented
88#16811022C2211yescharacteristic, complemented
89#16810993C2211yescharacteristic, complemented
90#16810992C2211yescharacteristic, complemented
91#16810991C2211yescharacteristic, complemented
92#16810990C2211yescharacteristic, complemented
93#16810990C2211yescharacteristic, complemented
94#16810990C2211yescharacteristic, complemented
95#16810990C2211yescharacteristic, complemented
96#16810975C2211yescharacteristic, complemented
97#16810974C2211yescharacteristic, complemented
98#16810973C2211yescharacteristic, complemented
99#16810972C2211yescharacteristic, complemented
100#16810972C2211yescharacteristic, complemented
101#16810972C2211yescharacteristic, complemented
102#16810972C2211yescharacteristic, complemented
103#16810967C2211yescharacteristic
104#16810967C2211yescharacteristic
105#16810966C2211yescharacteristic
106#16810966C2211yescharacteristic
107#16810965C2211yescharacteristic
108#16810965C2211yescharacteristic
109#16810964C2211yescharacteristic
110#16810964C2211yescharacteristic
111#16810963C2211yescharacteristic
112#16810963C2211yescharacteristic
113#16810962C2211yescharacteristic
114#16810962C2211yescharacteristic
115#16810961C2211yescharacteristic
116#16810961C2211yescharacteristic
117#16810960C2211yescharacteristic
118#16810960C2211yescharacteristic
119#16810959C2211yescharacteristic
120#16810958C2211yescharacteristic
121#16810957C2211yescharacteristic
122#16810957C2211yescharacteristic
123#16810956C2211yescharacteristic
124#16810955C2211yescharacteristic
125#16810955C2211yescharacteristic
126#16810954C2211yescharacteristic
127#16810953C2211yescharacteristic
128#16810952C2211yescharacteristic
129#16810952C2211yescharacteristic
130#16810951C2211yescharacteristic
131#16810933C2211yescharacteristic, complemented
132#16810933C2211yescharacteristic, complemented
133#16810932C2211yescharacteristic, complemented
134#16810932C2211yescharacteristic, complemented
135#16810931C2211yescharacteristic, complemented
136#16810931C2211yescharacteristic, complemented
137#16810930C2211yescharacteristic, complemented
138#16810930C2211yescharacteristic, complemented
139#16810929C2211yescharacteristic, complemented
140#16810929C2211yescharacteristic, complemented
141#16810928C2211yescharacteristic, complemented
142#16810928C2211yescharacteristic, complemented
143#16810927C2211yescharacteristic, complemented
144#16810927C2211yescharacteristic, complemented
145#16810919C2211yescharacteristic, complemented
146#16810918C2211yescharacteristic, complemented
147#16810917C2211yescharacteristic, complemented
148#16810917C2211yescharacteristic, complemented
149#16810916C2211yescharacteristic, complemented
150#16810916C2211yescharacteristic, complemented
151#16810915C2211yescharacteristic, complemented
152#16810909C2211yescharacteristic, complemented
153#16810908C2211yescharacteristic, complemented
154#16810907C2211yescharacteristic, complemented
155#16810907C2211yescharacteristic, complemented
156#16810906C2211yescharacteristic, complemented
157#16810906C2211yescharacteristic, complemented
158#16810905C2211yescharacteristic, complemented
159#16810685C2211yescharacteristic
160#16810684C2211yescharacteristic
161#16810683C2211yescharacteristic
162#16810683C2211yescharacteristic
163#16810682C2211yescharacteristic
164#16810681C2211yescharacteristic
165#16810681C2211yescharacteristic
166#107×D53C2211yescharacteristic
167#107×D53C2211yescharacteristic
168#107×D53C2211yescharacteristic
169#107×D53C2211yescharacteristic
170#106×D53C2211yescharacteristic
171#106×D53C2211yescharacteristic
172#106×D53C2211yescharacteristic
173#106×D53C2211yescharacteristic
174C4⋊C8×D53C2211yescharacteristic
175C4⋊C8×D53C2211yescharacteristic
176#103×D53C2211yescharacteristic
177#103×D53C2211yescharacteristic
178#103×D53C2211yescharacteristic
179#103×D53C2211yescharacteristic
180#103×D53C2211yescharacteristic
181#103×D53C2211yescharacteristic
182#103×D53C2211yescharacteristic
183#103×D53C2211yescharacteristic
184C22⋊C8×D53C2211yescharacteristic
185C22⋊C8×D53C2211yescharacteristic
186#97×D53C2211yescharacteristic
187C4×C8×D53C2211yescharacteristic
188C53×#544C2211yescharacteristic
189C53×#541C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#499C2211yescharacteristic, complemented
192C53×#491C2211yescharacteristic, complemented
193C53×#487C2211yescharacteristic, complemented
194C53×#485C2211yescharacteristic
195C53×#485C2211yescharacteristic
196C53×#484C2211yescharacteristic
197C53×#483C2211yescharacteristic
198C53×#479C2211yescharacteristic, complemented
199C53×#479C2211yescharacteristic, complemented
200C53×#477C2211yescharacteristic, complemented
201C53×#475C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic
203C2×Q8×D53—21no—
204C2×Q8×D53—21no—
205C2×Q8×D53C2311yescharacteristic
206C2×Q8×D53C2311yescharacteristic
207C22×C4×D53—21no—
208C22×C4×D53C2311yescharacteristic
209C2×C8×D53C2311yescharacteristic
210C2×C8×D53C2311yescharacteristic
211C2×C8×D53C2311yescharacteristic
212C2×C8×D53C2311yescharacteristic
213#13133217—21no—
214#13133217C2311yescharacteristic
215#13133217C2311yescharacteristic
216#13133217C2311yescharacteristic
217#13133216—21no—
218#13133216—21no—
219#13133216—21no—
220#13133216—21no—
221#13133216—21no—
222#13133216—21no—
223#13133216—21no—
224#13133216—21no—
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133216C2311yescharacteristic
228#13133216C2311yescharacteristic
229#13133215—21no—
230#13133215—21no—
231#13133215—21no—
232#13133215—21no—
233#13133215C2311yescharacteristic
234#13133215C2311yescharacteristic
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133211—21no—
242#13133211—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133209—21no—
250#13133209—21no—
251#13133209—21no—
252#13133209C2311yescharacteristic
253#13133209C2311yescharacteristic
254#13133209C2311yescharacteristic
255#13133208—21no—
256#13133208—21no—
257#13133208—21no—
258#13133208—21no—
259#13133208—21no—
260#13133208—21no—
261#13133208C2311yescharacteristic
262#13133208C2311yescharacteristic
263#13133208C2311yescharacteristic
264#13133208C2311yescharacteristic
265#13133208C2311yescharacteristic
266#13133208C2311yescharacteristic
267#13133207—21no—
268#13133207—21no—
269#13133207—21no—
270#13133207—21no—
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133207—21no—
278#13133207—21no—
279#13133207—21no—
280#13133207—21no—
281#13133207—21no—
282#13133207—21no—
283#13133207—21no—
284#13133207—21no—
285#13133197—21no—
286#13133197—21no—
287#13133197C2311yescharacteristic
288#13133197C2311yescharacteristic
289#13133196—21no—
290#13133196—21no—
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133195—21no—
294#13133195—21no—
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133194—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133193—21no—
306#13133193—21no—
307#13133193C2311yescharacteristic
308#13133193C2311yescharacteristic
309Q8×Dic53C2311yescharacteristic
310Q8×Dic53C2311yescharacteristic
311C4×Dic106—21no—
312C4×Dic106—21no—
313C4×Dic106C2311yescharacteristic
314C4×Dic106C2311yescharacteristic
315#13133182—21no—
316#13133182—21no—
317#13133182C2311yescharacteristic
318#13133182C2311yescharacteristic
319#13133176C2311yescharacteristic
320#13133176C2311yescharacteristic
321#13133175D411yescharacteristic
322#13133175D411yescharacteristic
323#13133175C2311yescharacteristic
324#13133175C2311yescharacteristic
325#13133174—21no—
326#13133174C2311yescharacteristic
327#13133174C2311yescharacteristic
328#13133173—21no—
329#13133173D411yescharacteristic
330#13133173D411yescharacteristic
331C2×C4⋊Dic53C2311yescharacteristic
332C2×#11719919—21no—
333C4⋊C4×D53—21no—
334C4⋊C4×D53—21no—
335C4⋊C4×D53—21no—
336C4⋊C4×D53—21no—
337C4⋊C4×D53—21no—
338C4⋊C4×D53—21no—
339C4⋊C4×D53—21no—
340C4⋊C4×D53—21no—
341C4⋊C4×D53—21no—
342C4⋊C4×D53—21no—
343C4⋊C4×D53—21no—
344C4⋊C4×D53—21no—
345C4⋊C4×D53—21no—
346C4⋊C4×D53—21no—
347C4⋊C4×D53—21no—
348C4⋊C4×D53—21no—
349C4⋊C4×D53D411yescharacteristic
350C4⋊C4×D53D411yescharacteristic
351C4⋊C4×D53C2311yescharacteristic
352C4⋊C4×D53C2311yescharacteristic
353C4⋊C4×D53C2311yescharacteristic
354C4⋊C4×D53C2311yescharacteristic
355C4⋊C4×D53C2311yescharacteristic
356C4⋊C4×D53C2311yescharacteristic
357C4⋊C4×D53C2311yescharacteristic
358C4⋊C4×D53C2311yescharacteristic
359C22⋊C4×D53—21no—
360C22⋊C4×D53—21no—
361C22⋊C4×D53—21no—
362C22⋊C4×D53D411yescharacteristic
363C22⋊C4×D53D411yescharacteristic
364C42×D53—21no—
365C42×D53—21no—
366C42×D53—21no—
367C42×D53C2311yescharacteristic
368C42×D53C2311yescharacteristic
369#13133151C2311yescharacteristic
370#13133151C2311yescharacteristic
371#13133151C2311yescharacteristic
372#13133151C2311yescharacteristic
373#13133150C2311yescharacteristic
374#13133150C2311yescharacteristic
375#13133150C2311yescharacteristic
376#13133150C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133149C2311yescharacteristic
382#13133149C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C4⋊Q8×C53—21no—
436C4⋊Q8×C53C2311yescharacteristic
437C4⋊Q8×C53C2311yescharacteristic
438C4⋊Q8×C53C2311yescharacteristic
439#126×C53—21no—
440#126×C53—21no—
441#125×C53—21no—
442#125×C53—21no—
443#125×C53—21no—
444#125×C53C2311yescharacteristic
445#125×C53C2311yescharacteristic
446#125×C53C2311yescharacteristic
447C22⋊Q8×C53—21no—
448C22⋊Q8×C53—21no—
449C22⋊Q8×C53C2311yescharacteristic
450C22⋊Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453#117×C53C2311yescharacteristic
454#117×C53C2311yescharacteristic
455C2×C4⋊C4×C53C2311yescharacteristic
456#107×C53C2311yescharacteristic
457#107×C53C2311yescharacteristic
458#107×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#106×C53C2311yescharacteristic
461#106×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×D53C2×D411yescharacteristic
479C2×Q8×C53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C22×C4×C53—21no—
484C22×C4×C53C2411yescharacteristic
485C22×Dic53—21no—
486C22×Dic53C2×D411yescharacteristic
487Q8×D53—22no—
488Q8×D53—22no—
489Q8×D53—22no—
490Q8×D53—22no—
491Q8×D53—82no—
492Q8×D53—82no—
493C2×C4×D53—22no—
494C2×C4×D53—22no—
495C2×C4×D53—21no—
496C2×C4×D53—21no—
497C2×C4×D53—21no—
498C2×C4×D53—21no—
499C2×C4×D53—21no—
500C2×C4×D53—21no—
501C2×C4×D53—21no—
502C2×C4×D53—21no—
503C2×C4×D53—21no—
504C2×C4×D53—21no—
505C2×C4×D53—82no—
506C2×C4×D53C2×D411yescharacteristic
507C2×C4×D53C2×D411yescharacteristic
508C2×C4×D53C2×D411yescharacteristic
509C2×C4×D53C2×D411yescharacteristic
510C2×C4×D53C2×D411yescharacteristic
511C2×C4×D53C2×D411yescharacteristic
512C2×C4×D53C2411yescharacteristic
513C2×C4×D53C2411yescharacteristic
514C2×Dic106—21no—
515C2×Dic106—21no—
516C2×Dic106—21no—
517C2×Dic106—21no—
518C2×Dic106—21no—
519C2×Dic106—21no—
520C2×Dic106—21no—
521C2×Dic106—21no—
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524C2×C8×C53C2411yescharacteristic
525C2×C8×C53C2411yescharacteristic
526C2×C8×C53C2411yescharacteristic
527C2×C8×C53C2411yescharacteristic
528C4⋊C4×C53—21no—
529C4⋊C4×C53—21no—
530C4⋊C4×C53—21no—
531C4⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2411yescharacteristic
546C4⋊C4×C53C2411yescharacteristic
547C4⋊C4×C53C2411yescharacteristic
548C4⋊C4×C53C2411yescharacteristic
549C4⋊C4×C53C2411yescharacteristic
550C4⋊C4×C53C2411yescharacteristic
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53C2×D411yescharacteristic
555C22⋊C4×C53C2×D411yescharacteristic
556C42×C53—21no—
557C42×C53—21no—
558C42×C53—21no—
559C42×C53C2411yescharacteristic
560C42×C53C2411yescharacteristic
561C22⋊Dic53—21no—
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564C22⋊Dic53C2×D411yescharacteristic
565C22⋊Dic53C2×D411yescharacteristic
566#11719921—21no—
567#11719921—21no—
568#11719921—21no—
569#11719921—21no—
570#11719921—21no—
571#11719921—21no—
572#11719921C2×D411yescharacteristic
573#11719921C2×D411yescharacteristic
574#11719921C2×D411yescharacteristic
575#11719921C2×D411yescharacteristic
576C4⋊Dic53—21no—
577C4⋊Dic53—21no—
578C4⋊Dic53—21no—
579C4⋊Dic53—21no—
580C4⋊Dic53—21no—
581C4⋊Dic53—21no—
582C4⋊Dic53—21no—
583C4⋊Dic53—21no—
584C4⋊Dic53—21no—
585C4⋊Dic53—21no—
586C4⋊Dic53—21no—
587C4⋊Dic53—21no—
588C4⋊Dic53—21no—
589C4⋊Dic53—21no—
590C4⋊Dic53—21no—
591C4⋊Dic53C2×D411yescharacteristic
592C4⋊Dic53C2×D411yescharacteristic
593C4⋊Dic53C2411yescharacteristic
594C4⋊Dic53C2411yescharacteristic
595C4⋊Dic53C2411yescharacteristic
596C4⋊Dic53C2411yescharacteristic
597C4⋊Dic53C2411yescharacteristic
598C4⋊Dic53C2411yescharacteristic
599#11719919—21no—
600#11719919—21no—
601#11719919—21no—
602#11719919—21no—
603#11719919—21no—
604#11719919—21no—
605#11719919—21no—
606#11719919—21no—
607#11719919—21no—
608#11719919—21no—
609#11719919—21no—
610#11719919—21no—
611#11719919—21no—
612#11719919—21no—
613#11719919—21no—
614#11719919—21no—
615#11719919—21no—
616#11719919—21no—
617#11719919—21no—
618#11719919—21no—
619#11719919—21no—
620#11719919—21no—
621#11719919—21no—
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#11719919C2×D411yescharacteristic
636#11719919C2×D411yescharacteristic
637#11719919C2×D411yescharacteristic
638#11719919C2×D411yescharacteristic
639C4×Dic53—21no—
640C4×Dic53—21no—
641C4×Dic53—21no—
642C4×Dic53—21no—
643C4×Dic53—21no—
644C4×Dic53—21no—
645C4×Dic53—21no—
646C4×Dic53—21no—
647C4×Dic53—21no—
648C4×Dic53C2×D411yescharacteristic
649C4×Dic53C2×D411yescharacteristic
650C4×Dic53C2×D411yescharacteristic
651C4×Dic53C2×D411yescharacteristic
652C4×Dic53C2411yescharacteristic
653C4×Dic53C2411yescharacteristic
654C2×#88322C2411yescharacteristic
655C2×#88322C2411yescharacteristic
656C2×#88322C2411yescharacteristic
657C2×#88322C2411yescharacteristic
658C8×D53—22no—
659C8×D53—22no—
660C8×D53—22no—
661C8×D53—22no—
662C23×C53C22×D411yescharacteristic
663C22×D53—22no—
664C22×D53—22no—
665C22×D53—22no—
666C22×D53C22×D411yescharacteristic
667C22×D53C22×D411yescharacteristic
668Q8×C53—21no—
669Q8×C53—21no—
670Q8×C53—21no—
671Q8×C53—21no—
672Q8×C53—81no—
673Q8×C53—81no—
674C2×C4×C53—21no—
675C2×C4×C53—21no—
676C2×C4×C53—21no—
677C2×C4×C53—21no—
678C2×C4×C53—21no—
679C2×C4×C53—21no—
680C2×C4×C53—21no—
681C2×C4×C53—21no—
682C2×C4×C53—21no—
683C2×C4×C53—21no—
684C2×C4×C53—81no—
685C2×C4×C53C22×D411yescharacteristic
686C2×C4×C53C22×D411yescharacteristic
687C2×C4×C53C22×D411yescharacteristic
688C2×C4×C53C22×D411yescharacteristic
689C2×C4×C53C22×D411yescharacteristic
690C2×C4×C53C2511yescharacteristic
691C2×Dic53—22no—
692C2×Dic53—21no—
693C2×Dic53—21no—
694C2×Dic53—21no—
695C2×Dic53—21no—
696C2×Dic53—21no—
697C2×Dic53—21no—
698C2×Dic53—21no—
699C2×Dic53—21no—
700C2×Dic53—81no—
701C2×Dic53C22×D411yescharacteristic
702C2×Dic53C22×D411yescharacteristic
703C2×Dic53C22×D411yescharacteristic
704C2×Dic53C22×D411yescharacteristic
705C2×Dic53C22×D411yescharacteristic
706C2×Dic53C22×D411yescharacteristic
707C4×D53—22no—
708C4×D53—22no—
709C4×D53—22no—
710C4×D53—22no—
711C4×D53—22no—
712C4×D53—21no—
713C4×D53—21no—
714C4×D53—22no—
715C4×D53—42no—
716C4×D53—42no—
717C4×D53—42no—
718C4×D53—42no—
719C4×D53—42no—
720C4×D53—42no—
721C4×D53—42no—
722C4×D53—42no—
723C4×D53—81no—
724C4×D53—81no—
725C4×D532−1+412yes—
726C4×D532−1+412yes—
727Dic106—21no—
728Dic106—21no—
729Dic106—21no—
730Dic106—21no—
731Dic106—42no—
732Dic106—42no—
733Dic106—81no—
734Dic106—81no—
735Dic106—81no—
736Dic106—81no—
737Dic106—81no—
738Dic106—81no—
739C8×C53—21no—
740C8×C53—21no—
741C8×C53—21no—
742C8×C53—21no—
743#88322—21no—
744#88322—21no—
745#88322—21no—
746#88322—21no—
747C2×#3242—531nomaximal, Sylow
748C22×C53—21no—
749C22×C53—21no—
750C22×C53—21no—
751C22×C53C23×D411yescharacteristic
752C2×D53—21no—
753C2×D53—21no—
754C2×D53—21no—
755C2×D53—44no—
756C2×D53#53612yes—
757C2×D53#57712yes—
758C2×D53#57812yes—
759C4×C53—21no—
760C4×C53—21no—
761C4×C53—21no—
762C4×C53—21no—
763C4×C53—21no—
764C4×C53—41no—
765C4×C53—41no—
766C4×C53—41no—
767C4×C53—41no—
768C4×C53—41no—
769C4×C53—41no—
770C4×C53—41no—
771C4×C53—41no—
772C4×C53C2×2−1+411yescharacteristic
773C4×C53C2×2−1+411yescharacteristic
774Dic53—21no—
775Dic53—21no—
776Dic53—21no—
777Dic53—21no—
778Dic53—21no—
779Dic53—41no—
780Dic53—41no—
781Dic53—41no—
782Dic53—41no—
783Dic53—41no—
784Dic53—41no—
785Dic53—41no—
786Dic53—41no—
787Dic53#53612yes—
788C2×#544—531no—
789C2×#541—531no—
790#3242—531no—
791#3242—531no—
792#3242—531no—
793#3242—531no—
794#3242—531no—
795#3242—531no—
796#3242—531no—
797#3242—531no—
798#3242—531no—
799#3242—531no—
800#3242—531no—
801#3242—531no—
802#3242—531no—
803#3242—531no—
804#3242—531no—
805#3242D5311yescharacteristic, direct product factor
806C2×#501—531no—
807C2×#499—531no—
808C2×#491—531no—
809C2×#487—531no—
810C2×#484—531no—
811C2×#485—531no—
812C2×#485—531no—
813C2×#483—531no—
814C2×#479—531no—
815C2×#479—531no—
816C2×#477—531no—
817C2×#475—531no—
818C2×#433—531no—
819C2×C53—41no—
820C2×C53C2×#53611yescharacteristic
821C2×C53C2×#57711yescharacteristic
822C2×C53C2×#57811yescharacteristic
823D53—41no—
824D53#324214yesdirect product factor
825#544—531no—
826#544—531no—
827#544—531no—
828#544—531no—
829#544—531no—
830#544—531no—
831#544—531no—
832#544—1061no—
833#544—1061no—
834#544—1061no—
835#544—1061no—
836#544C2×D5311yescharacteristic
837#541—531no—
838#541—531no—
839#541—531no—
840#541—531no—
841#541—531no—
842#541—531no—
843#541—531no—
844#541—1061no—
845#541—1061no—
846#541—1061no—
847#541—1061no—
848#541C2×D5311yescharacteristic
849C2×C4⋊Q8—531no—
850C2×C4⋊Q8—531no—
851C2×C4⋊Q8—531no—
852C2×C4⋊Q8—1061no—
853C2×#126—1061no—
854C2×#126—1061no—
855C2×#125—531no—
856C2×#125—531no—
857C2×#125—531no—
858C2×#125—1061no—
859C2×#125—1061no—
860C2×#125—1061no—
861C2×C22⋊Q8—531no—
862C2×C22⋊Q8—531no—
863C2×C22⋊Q8—1061no—
864C2×C22⋊Q8—1061no—
865C2×C4×Q8—531no—
866C2×C4×Q8—531no—
867C2×#117—531no—
868C2×#117—531no—
869C22×C4⋊C4—531no—
870#501—531no—
871#501—531no—
872#501—531no—
873#501—531no—
874#501—531no—
875#501—531no—
876#501—531no—
877#501C2×D5311yescharacteristic, complemented
878#499—531no—
879#499—531no—
880#499—531no—
881#499—531no—
882#499—531no—
883#499—531no—
884#499—531no—
885#499C2×D5311yescharacteristic, complemented
886#491—531no—
887#491—531no—
888#491—531no—
889#491—531no—
890#491—531no—
891#491—531no—
892#491—531no—
893#491C2×D5311yescharacteristic, complemented
894#487—531no—
895#487—531no—
896#487—531no—
897#487—531no—
898#487—531no—
899#487—531no—
900#487—531no—
901#487C2×D5311yescharacteristic, complemented
902#485—531no—
903#485—531no—
904#485—531no—
905#485—531no—
906#485—531no—
907#485—531no—
908#485—531no—
909#485—531no—
910#485—531no—
911#485—531no—
912#485—531no—
913#485—531no—
914#485—531no—
915#485—531no—
916#485C2×D5311yescharacteristic
917#485C2×D5311yescharacteristic
918#484—531no—
919#484—531no—
920#484—531no—
921#484—531no—
922#484—531no—
923#484—531no—
924#484—531no—
925#484C2×D5311yescharacteristic
926#483—531no—
927#483—531no—
928#483—531no—
929#483—531no—
930#483—531no—
931#483—531no—
932#483—531no—
933#483C2×D5311yescharacteristic
934#479—531no—
935#479—531no—
936#479—531no—
937#479—531no—
938#479—531no—
939#479—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#479—531no—
945#479—531no—
946#479—531no—
947#479—531no—
948#479C2×D5311yescharacteristic, complemented
949#479C2×D5311yescharacteristic, complemented
950#477—531no—
951#477—531no—
952#477—531no—
953#477—531no—
954#477—531no—
955#477—531no—
956#477—531no—
957#477C2×D5311yescharacteristic, complemented
958#475—531no—
959#475—531no—
960#475—531no—
961#475—531no—
962#475—531no—
963#475—531no—
964#475—531no—
965#475C2×D5311yescharacteristic, complemented
966#433—531no—
967#433—531no—
968#433—531no—
969#433—531no—
970#433—531no—
971#433—531no—
972#433—531no—
973#433C2×D5311yescharacteristic
974C2×#107—531no—
975C2×#107—531no—
976C2×#107—531no—
977C2×#107—531no—
978C2×#106—531no—
979C2×#106—531no—
980C2×#106—531no—
981C2×#106—531no—
982C2×C4⋊C8—531no—
983C2×C4⋊C8—531no—
984C2×#103—531no—
985C2×#103—531no—
986C2×#103—531no—
987C2×#103—531no—
988C2×#103—531no—
989C2×#103—531no—
990C2×#103—531no—
991C2×#103—531no—
992C2×C22⋊C8—531no—
993C2×C22⋊C8—531no—
994C2×#97—531no—
995C2×C4×C8—531no—
996C53C2×#324211yescharacteristic, complemented, Sylow
997C22×Q8—531no—
998C22×Q8—531no—
999C22×Q8—1061no—
1000C22×Q8—1061no—
1001C23×C4—531no—
1002C23×C4—1061no—
1003C22×C8—531no—
1004C22×C8—531no—
1005C22×C8—531no—
1006C22×C8—531no—
1007C4⋊Q8—21no—
1008C4⋊Q8—531no—
1009C4⋊Q8—531no—
1010C4⋊Q8—531no—
1011C4⋊Q8—531no—
1012C4⋊Q8—531no—
1013C4⋊Q8—531no—
1014C4⋊Q8—531no—
1015C4⋊Q8—531no—
1016C4⋊Q8—531no—
1017C4⋊Q8—1061no—
1018C4⋊Q8—1061no—
1019C4⋊Q8—1061no—
1020C4⋊Q8—1061no—
1021C4⋊Q8—1061no—
1022C4⋊Q8—1061no—
1023C4⋊Q8—1061no—
1024C4⋊Q8—1061no—
1025C4⋊Q8—1061no—
1026C4⋊Q8—1061no—
1027C4⋊Q8—1061no—
1028C4⋊Q8—1061no—
1029C4⋊Q8—1061no—
1030C4⋊Q8C22×D5311yescharacteristic
1031C4⋊Q8C22×D5311yescharacteristic
1032C4⋊Q8C22×D5311yescharacteristic
1033#126—21no—
1034#126—21no—
1035#126—1061no—
1036#126—1061no—
1037#126—1061no—
1038#126—1061no—
1039#126—1061no—
1040#126—1061no—
1041#126—1061no—
1042#126—1061no—
1043#126—1061no—
1044#126—1061no—
1045#126—1061no—
1046#126—1061no—
1047#126—1061no—
1048#126—1061no—
1049#125—21no—
1050#125—21no—
1051#125—21no—
1052#125—531no—
1053#125—531no—
1054#125—531no—
1055#125—531no—
1056#125—531no—
1057#125—531no—
1058#125—531no—
1059#125—531no—
1060#125—531no—
1061#125—1061no—
1062#125—1061no—
1063#125—1061no—
1064#125—1061no—
1065#125—1061no—
1066#125—1061no—
1067#125—1061no—
1068#125—1061no—
1069#125—1061no—
1070#125—1061no—
1071#125—1061no—
1072#125—1061no—
1073#125—1061no—
1074#125—1061no—
1075#125—1061no—
1076#125—1061no—
1077#125—1061no—
1078#125—1061no—
1079#125—1061no—
1080#125—1061no—
1081#125—1061no—
1082#125—1061no—
1083#125—1061no—
1084#125—1061no—
1085#125—1061no—
1086#125—1061no—
1087#125—1061no—
1088#125C22×D5311yescharacteristic
1089#125C22×D5311yescharacteristic
1090#125C22×D5311yescharacteristic
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—531no—
1094C22⋊Q8—531no—
1095C22⋊Q8—531no—
1096C22⋊Q8—531no—
1097C22⋊Q8—531no—
1098C22⋊Q8—531no—
1099C22⋊Q8—1061no—
1100C22⋊Q8—1061no—
1101C22⋊Q8—1061no—
1102C22⋊Q8—1061no—
1103C22⋊Q8—1061no—
1104C22⋊Q8—1061no—
1105C22⋊Q8—1061no—
1106C22⋊Q8—1061no—
1107C22⋊Q8—1061no—
1108C22⋊Q8—1061no—
1109C22⋊Q8—1061no—
1110C22⋊Q8—1061no—
1111C22⋊Q8—1061no—
1112C22⋊Q8—1061no—
1113C22⋊Q8—1061no—
1114C22⋊Q8—1061no—
1115C22⋊Q8—1061no—
1116C22⋊Q8—1061no—
1117C22⋊Q8C22×D5311yescharacteristic
1118C22⋊Q8C22×D5311yescharacteristic
1119C4×Q8—531no—
1120C4×Q8—531no—
1121C4×Q8—531no—
1122C4×Q8—531no—
1123C4×Q8—531no—
1124C4×Q8—531no—
1125C4×Q8—1061no—
1126C4×Q8—1061no—
1127C4×Q8—1061no—
1128C4×Q8—1061no—
1129C4×Q8C22×D5311yescharacteristic
1130C4×Q8C22×D5311yescharacteristic
1131#117—531no—
1132#117—531no—
1133#117—531no—
1134#117—531no—
1135#117—531no—
1136#117—531no—
1137#117—531no—
1138#117—531no—
1139#117—531no—
1140#117—531no—
1141#117—1061no—
1142#117—1061no—
1143#117C22×D5311yescharacteristic
1144#117C22×D5311yescharacteristic
1145C2×C4⋊C4—531no—
1146C2×C4⋊C4—531no—
1147C2×C4⋊C4—531no—
1148C2×C4⋊C4—531no—
1149C2×C4⋊C4—531no—
1150C2×C4⋊C4—531no—
1151C2×C4⋊C4—531no—
1152C2×C4⋊C4—531no—
1153C2×C4⋊C4—531no—
1154C2×C4⋊C4—531no—
1155C2×C4⋊C4—531no—
1156C2×C4⋊C4—1061no—
1157C2×C4⋊C4—1061no—
1158C2×C4⋊C4—1061no—
1159C2×C4⋊C4—1061no—
1160C2×C4⋊C4—1061no—
1161C2×C4⋊C4—1061no—
1162C2×C4⋊C4—1061no—
1163C2×C4⋊C4—1061no—
1164C2×C4⋊C4—1061no—
1165C2×C4⋊C4—1061no—
1166C2×C4⋊C4—1061no—
1167C2×C4⋊C4—1061no—
1168C2×C4⋊C4—1061no—
1169C2×C4⋊C4—1061no—
1170C2×C4⋊C4—1061no—
1171C2×C4⋊C4—1061no—
1172C2×C4⋊C4—1061no—
1173C2×C4⋊C4C22×D5311yescharacteristic
1174C2×C22⋊C4—531no—
1175C2×C22⋊C4—531no—
1176C2×C22⋊C4—1061no—
1177C2×C22⋊C4—1061no—
1178C2×C22⋊C4—1061no—
1179C2×C42—531no—
1180C2×C42—531no—
1181C2×C42—1061no—
1182C2×C42—1061no—
1183C2×C42—1061no—
1184#107—531no—
1185#107—531no—
1186#107—531no—
1187#107—531no—
1188#107—531no—
1189#107—531no—
1190#107—531no—
1191#107—531no—
1192#107—531no—
1193#107—531no—
1194#107—531no—
1195#107—531no—
1196#107C22×D5311yescharacteristic
1197#107C22×D5311yescharacteristic
1198#107C22×D5311yescharacteristic
1199#107C22×D5311yescharacteristic
1200#106—531no—
1201#106—531no—
1202#106—531no—
1203#106—531no—
1204#106—531no—
1205#106—531no—
1206#106—531no—
1207#106—531no—
1208#106—531no—
1209#106—531no—
1210#106—531no—
1211#106—531no—
1212#106C22×D5311yescharacteristic
1213#106C22×D5311yescharacteristic
1214#106C22×D5311yescharacteristic
1215#106C22×D5311yescharacteristic
1216C4⋊C8—531no—
1217C4⋊C8—531no—
1218C4⋊C8—531no—
1219C4⋊C8—531no—
1220C4⋊C8—531no—
1221C4⋊C8—531no—
1222C4⋊C8C22×D5311yescharacteristic
1223C4⋊C8C22×D5311yescharacteristic
1224#103—531no—
1225#103—531no—
1226#103—531no—
1227#103—531no—
1228#103—531no—
1229#103—531no—
1230#103—531no—
1231#103—531no—
1232#103—531no—
1233#103—531no—
1234#103—531no—
1235#103—531no—
1236#103—531no—
1237#103—531no—
1238#103—531no—
1239#103—531no—
1240#103—531no—
1241#103—531no—
1242#103—531no—
1243#103—531no—
1244#103—531no—
1245#103—531no—
1246#103—531no—
1247#103—531no—
1248#103C22×D5311yescharacteristic
1249#103C22×D5311yescharacteristic
1250#103C22×D5311yescharacteristic
1251#103C22×D5311yescharacteristic
1252#103C22×D5311yescharacteristic
1253#103C22×D5311yescharacteristic
1254#103C22×D5311yescharacteristic
1255#103C22×D5311yescharacteristic
1256C22⋊C8—531no—
1257C22⋊C8—531no—
1258C22⋊C8—531no—
1259C22⋊C8—531no—
1260C22⋊C8—531no—
1261C22⋊C8—531no—
1262C22⋊C8C22×D5311yescharacteristic
1263C22⋊C8C22×D5311yescharacteristic
1264#97—531no—
1265#97—531no—
1266#97—531no—
1267#97C22×D5311yescharacteristic
1268C4×C8—531no—
1269C4×C8—531no—
1270C4×C8—531no—
1271C4×C8C22×D5311yescharacteristic
1272C24—531no—
1273C2×Q8—21no—
1274C2×Q8—21no—
1275C2×Q8—531no—
1276C2×Q8—531no—
1277C2×Q8—1061no—
1278C2×Q8—1061no—
1279C2×Q8—1061no—
1280C2×Q8—1061no—
1281C2×Q8—1061no—
1282C2×Q8—1061no—
1283C2×Q8—1062no—
1284C2×Q8—1062no—
1285C2×Q8—1062no—
1286C2×Q8—1062no—
1287C2×Q8—1061no—
1288C2×Q8—1061no—
1289C2×Q8—4242no—
1290C2×Q8—4242no—
1291C2×Q8C23×D5311yescharacteristic
1292C2×Q8C23×D5311yescharacteristic
1293C22×C4—21no—
1294C22×C4—531no—
1295C22×C4—531no—
1296C22×C4—531no—
1297C22×C4—531no—
1298C22×C4—531no—
1299C22×C4—531no—
1300C22×C4—531no—
1301C22×C4—531no—
1302C22×C4—531no—
1303C22×C4—1062no—
1304C22×C4—1062no—
1305C22×C4—1061no—
1306C22×C4—1061no—
1307C22×C4—1061no—
1308C22×C4—1061no—
1309C22×C4—1061no—
1310C22×C4—1061no—
1311C22×C4—1061no—
1312C22×C4—1061no—
1313C22×C4—1061no—
1314C22×C4—1061no—
1315C22×C4—1061no—
1316C22×C4—4242no—
1317C22×C4C23×D5311yescharacteristic
1318C2×C8—531no—
1319C2×C8—531no—
1320C2×C8—531no—
1321C2×C8—531no—
1322C2×C8—1062no—
1323C2×C8—1062no—
1324C2×C8—1062no—
1325C2×C8—1062no—
1326C2×C8C23×D5311yescharacteristic
1327C2×C8C23×D5311yescharacteristic
1328C2×C8C23×D5311yescharacteristic
1329C2×C8C23×D5311yescharacteristic
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—531no—
1346C4⋊C4—531no—
1347C4⋊C4—531no—
1348C4⋊C4—531no—
1349C4⋊C4—531no—
1350C4⋊C4—531no—
1351C4⋊C4—531no—
1352C4⋊C4—531no—
1353C4⋊C4—531no—
1354C4⋊C4—531no—
1355C4⋊C4—531no—
1356C4⋊C4—531no—
1357C4⋊C4—1061no—
1358C4⋊C4—1061no—
1359C4⋊C4—1061no—
1360C4⋊C4—1061no—
1361C4⋊C4—1061no—
1362C4⋊C4—1061no—
1363C4⋊C4—1061no—
1364C4⋊C4—1061no—
1365C4⋊C4—1061no—
1366C4⋊C4—1061no—
1367C4⋊C4—1061no—
1368C4⋊C4—1061no—
1369C4⋊C4—1061no—
1370C4⋊C4—1061no—
1371C4⋊C4—1061no—
1372C4⋊C4—1061no—
1373C4⋊C4—1061no—
1374C4⋊C4—1061no—
1375C4⋊C4—1061no—
1376C4⋊C4—1061no—
1377C4⋊C4—1061no—
1378C4⋊C4—1061no—
1379C4⋊C4—1061no—
1380C4⋊C4—1061no—
1381C4⋊C4—1061no—
1382C4⋊C4—1061no—
1383C4⋊C4—1061no—
1384C4⋊C4—1061no—
1385C4⋊C4—1061no—
1386C4⋊C4—1061no—
1387C4⋊C4—1061no—
1388C4⋊C4—1061no—
1389C4⋊C4—1061no—
1390C4⋊C4—1061no—
1391C4⋊C4—1061no—
1392C4⋊C4—1061no—
1393C4⋊C4—1061no—
1394C4⋊C4—1061no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4—1061no—
1400C4⋊C4—1061no—
1401C4⋊C4—1061no—
1402C4⋊C4—1061no—
1403C4⋊C4—1061no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4D4×D5311yescharacteristic
1409C4⋊C4D4×D5311yescharacteristic
1410C4⋊C4C23×D5311yescharacteristic
1411C4⋊C4C23×D5311yescharacteristic
1412C4⋊C4C23×D5311yescharacteristic
1413C4⋊C4C23×D5311yescharacteristic
1414C4⋊C4C23×D5311yescharacteristic
1415C4⋊C4C23×D5311yescharacteristic
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—531no—
1420C22⋊C4—531no—
1421C22⋊C4—531no—
1422C22⋊C4—531no—
1423C22⋊C4—531no—
1424C22⋊C4—531no—
1425C22⋊C4—1061no—
1426C22⋊C4—1061no—
1427C22⋊C4—1061no—
1428C22⋊C4—1061no—
1429C22⋊C4—1061no—
1430C22⋊C4—1061no—
1431C22⋊C4—1061no—
1432C22⋊C4—1061no—
1433C22⋊C4—1061no—
1434C22⋊C4D4×D5311yescharacteristic
1435C22⋊C4D4×D5311yescharacteristic
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—531no—
1440C42—531no—
1441C42—531no—
1442C42—531no—
1443C42—531no—
1444C42—531no—
1445C42—1061no—
1446C42—1061no—
1447C42—1061no—
1448C42—1061no—
1449C42—1061no—
1450C42—1061no—
1451C42—1061no—
1452C42—1061no—
1453C42—1061no—
1454C42C23×D5311yescharacteristic
1455C42C23×D5311yescharacteristic
1456C23—531no—
1457C23—531no—
1458C23—1062no—
1459C23—1062no—
1460C23—1062no—
1461C23C2×D4×D5311yescharacteristic
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—21no—
1466Q8—81no—
1467Q8—81no—
1468Q8—1061no—
1469Q8—1061no—
1470Q8—1061no—
1471Q8—1061no—
1472Q8—4241no—
1473Q8—4241no—
1474Q8—4241no—
1475Q8—4241no—
1476Q8—4241no—
1477Q8—4241no—
1478Q8—2122no—
1479Q8—2122no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—81no—
1491C2×C4—531no—
1492C2×C4—532no—
1493C2×C4—532no—
1494C2×C4—531no—
1495C2×C4—531no—
1496C2×C4—531no—
1497C2×C4—531no—
1498C2×C4—531no—
1499C2×C4—1062no—
1500C2×C4—1062no—
1501C2×C4—1062no—
1502C2×C4—1062no—
1503C2×C4—1062no—
1504C2×C4—1062no—
1505C2×C4—1062no—
1506C2×C4—1061no—
1507C2×C4—1061no—
1508C2×C4—1061no—
1509C2×C4—1061no—
1510C2×C4—1061no—
1511C2×C4—1061no—
1512C2×C4—1061no—
1513C2×C4—1061no—
1514C2×C4—1061no—
1515C2×C4—1061no—
1516C2×C4—4241no—
1517C2×C4—4241no—
1518C2×C4—4241no—
1519C2×C4—2122no—
1520C2×C4—2122no—
1521C2×C4—2122no—
1522C2×C4—2122no—
1523C2×C4—2122no—
1524C2×C4—2122no—
1525C2×C4—2122no—
1526C2×C4—2122no—
1527C2×C4C2×D4×D5311yescharacteristic
1528C2×C4C2×D4×D5311yescharacteristic
1529C2×C4C2×D4×D5311yescharacteristic
1530C2×C4C2×D4×D5311yescharacteristic
1531C2×C4C2×D4×D5311yescharacteristic
1532C2×C4C24×D5311yescharacteristic
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—21no—
1537C8—1061no—
1538C8—1061no—
1539C8—1061no—
1540C8—1061no—
1541C22—21no—
1542C22—21no—
1543C22—21no—
1544C22—532no—
1545C22—532no—
1546C22—532no—
1547C22—1061no—
1548C22—1061no—
1549C22—1061no—
1550C22—2124no—
1551C22C22×D4×D5311yescharacteristic
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—532no—
1566C4—1061no—
1567C4—1061no—
1568C4—1061no—
1569C4—1061no—
1570C4—1061no—
1571C4—2121no—
1572C4—2121no—
1573C4—2121no—
1574C4—2121no—
1575C4—2121no—
1576C4—2121no—
1577C4—2121no—
1578C4—2121no—
1579C42−1+4×D5311yescharacteristic
1580C42−1+4×D5311yescharacteristic
1581C2—41no—
1582C2—534no—
1583C2—2121no—
1584C2#536×D5311yescharacteristic
1585C2#577×D5311yescharacteristic
1586C2#578×D5311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3242C2
socleC22×C53C23×D4
prime radicalC23×D53C2×D4
hypercenter#3242D53
hypocenterC53C2×#3242
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3242

Complements

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

NH ≅ G/Ntype
3. #20285990C2semidirect
4. #20285989C2semidirect
5. #20285988C2semidirect
6. #20285987C2semidirect
7. #20285986C2semidirect
8. #20285985C2semidirect
9. #20285984C2semidirect
10. #20285983C2semidirect
11. #20285982C2semidirect
12. #20285981C2semidirect
13. #20285980C2semidirect
14. #20285979C2semidirect
15. #20285978C2semidirect
16. #20285977C2semidirect
17. #20285976C2semidirect
18. #501×D53C2semidirect
19. #499×D53C2semidirect
20. #491×D53C2semidirect
21. #487×D53C2semidirect
26. #479×D53C2semidirect
27. #479×D53C2semidirect
28. #477×D53C2semidirect
29. #475×D53C2semidirect
31. C53×#3242C2semidirect
75. #16811033C22semidirect
76. #16811032C22semidirect
77. #16811031C22semidirect
78. #16811031C22semidirect
79. #16811030C22semidirect
80. #16811030C22semidirect
81. #16811029C22semidirect
82. #16811025C22semidirect
83. #16811024C22semidirect
84. #16811024C22semidirect
85. #16811023C22semidirect
86. #16811023C22semidirect
87. #16811022C22semidirect
88. #16811022C22semidirect
89. #16810993C22semidirect
90. #16810992C22semidirect
91. #16810991C22semidirect
92. #16810990C22semidirect
93. #16810990C22semidirect
94. #16810990C22semidirect
95. #16810990C22semidirect
96. #16810975C22semidirect
97. #16810974C22semidirect
98. #16810973C22semidirect
99. #16810972C22semidirect
100. #16810972C22semidirect
101. #16810972C22semidirect
102. #16810972C22semidirect
131. #16810933C22semidirect
132. #16810933C22semidirect
133. #16810932C22semidirect
134. #16810932C22semidirect
135. #16810931C22semidirect
136. #16810931C22semidirect
137. #16810930C22semidirect
138. #16810930C22semidirect
139. #16810929C22semidirect
140. #16810929C22semidirect
141. #16810928C22semidirect
142. #16810928C22semidirect
143. #16810927C22semidirect
144. #16810927C22semidirect
145. #16810919C22semidirect
146. #16810918C22semidirect
147. #16810917C22semidirect
148. #16810917C22semidirect
149. #16810916C22semidirect
150. #16810916C22semidirect
151. #16810915C22semidirect
152. #16810909C22semidirect
153. #16810908C22semidirect
154. #16810907C22semidirect
155. #16810907C22semidirect
156. #16810906C22semidirect
157. #16810906C22semidirect
158. #16810905C22semidirect
190. C53×#501C22semidirect
191. C53×#499C22semidirect
192. C53×#491C22semidirect
193. C53×#487C22semidirect
198. C53×#479C22semidirect
199. C53×#479C22semidirect
200. C53×#477C22semidirect
201. C53×#475C22semidirect
805. #3242D53direct (N × H)
824. D53#3242direct (N × H)
877. #501C2×D53semidirect
885. #499C2×D53semidirect
893. #491C2×D53semidirect
901. #487C2×D53semidirect
948. #479C2×D53semidirect
949. #479C2×D53semidirect
957. #477C2×D53semidirect
965. #475C2×D53semidirect
996. C53C2×#3242semidirect

Maximal subgroups

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

subgroupindex
#544×D532
#541×D532
#202859902
#202859892
#202859882
#202859872
#202859862
#202859852
#202859842
#202859832
#202859822
#202859812
#202859802
#202859792
#202859782
#202859772
#202859762
#501×D532
#499×D532
#491×D532
#487×D532
#484×D532
#485×D532
#483×D532
#479×D532
#477×D532
#475×D532
#433×D532
C53×#32422
C2×#324253