Finite Group Databasebeta

← #28266957

Subgroups — #28266957

Order 13568.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288712C211yesmaximal, characteristic, complemented
2#20288663C211yesmaximal, characteristic, complemented
3#20287754C211yesmaximal, characteristic, complemented
4#20287637C211yesmaximal, characteristic, complemented
5#20287406C211yesmaximal, characteristic, complemented
6#20287345C211yesmaximal, characteristic, complemented
7#20287294C211yesmaximal, characteristic, complemented
8#20287221C211yesmaximal, characteristic, complemented
9#20287217C211yesmaximal, characteristic, complemented
10#20286665C211yesmaximal, characteristic, complemented
11#20286658C211yesmaximal, characteristic, complemented
12#20286647C211yesmaximal, characteristic, complemented
13#20286565C211yesmaximal, characteristic, complemented
14#20286558C211yesmaximal, characteristic, complemented
15#20286521C211yesmaximal, characteristic, complemented
16#20286329C211yesmaximal, characteristic, complemented
17#20286255C211yesmaximal, characteristic, complemented
18#20285395C211yesmaximal, characteristic, complemented
19#20285391C211yesmaximal, characteristic, complemented
20#20285289C211yesmaximal, characteristic, complemented
21#20284978C211yesmaximal, characteristic, complemented
22#20284976C211yesmaximal, characteristic, complemented
23#20284956C211yesmaximal, characteristic, complemented
24#20284952C211yesmaximal, characteristic, complemented
25#20284859C211yesmaximal, characteristic, complemented
26#20284859C211yesmaximal, characteristic, complemented
27#20283685C211yesmaximal, characteristic, complemented
28#20283548C211yesmaximal, characteristic, complemented
29#20283546C211yesmaximal, characteristic, complemented
30#135×Dic53C211yesmaximal, characteristic, complemented
31C53×#3268C211yesmaximal, characteristic, complemented
32C2×#13133244C2211yescharacteristic
33#16811355C2211yescharacteristic
34#16811349C2211yescharacteristic, complemented
35#16811344C2211yescharacteristic
36#16811338C2211yescharacteristic
37#16811337C2211yescharacteristic
38#16811320—21no—
39#16811320C2211yescharacteristic, complemented
40#16811319—21no—
41#16811319C2211yescharacteristic, complemented
42#16811299—21no—
43#16811296—21no—
44#16811293—21no—
45#16811293C2211yescharacteristic, complemented
46#16811292C2211yescharacteristic
47#16811292C2211yescharacteristic, complemented
48D4×Dic106C2211yescharacteristic
49#16811279—21no—
50#16811273—21no—
51#16811273C2211yescharacteristic
52#16811261C2211yescharacteristic
53#16811260—21no—
54D4×C22⋊D53C2211yescharacteristic
55#16811246C2211yescharacteristic
56#16811242C2211yescharacteristic
57#16811227—21no—
58#16811227C2211yescharacteristic, complemented
59#16811226—21no—
60#16811226C2211yescharacteristic, complemented
61#16811210—21no—
62#16811208—21no—
63#16811168—21no—
64#16811168C2211yescharacteristic
65#16811168C2211yescharacteristic, complemented
66#16811153—21no—
67#16811153C2211yescharacteristic
68#16811150—21no—
69C2×#13133203—21no—
70#16811106C2211yescharacteristic, complemented
71#16811105C2211yescharacteristic, complemented
72#16811098C2211yescharacteristic
73#16811095C2211yescharacteristic
74#41×Dic53C2211yescharacteristic
75#41×Dic53C2211yescharacteristic, complemented
76#16811032C2211yescharacteristic, complemented
77#16811031C2211yescharacteristic, complemented
78#16811027C2211yescharacteristic, complemented
79#16811009C2211yescharacteristic, complemented
80#16810998C2211yescharacteristic
81#16810979C2211yescharacteristic, complemented
82#16810977C2211yescharacteristic, complemented
83#16810969C2211yescharacteristic, complemented
84#16810968C2211yescharacteristic
85#16810968C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic, complemented
87#16810957C2211yescharacteristic, complemented
88#16810956C2211yescharacteristic, complemented
89#16810948C2211yescharacteristic, complemented
90#16810948C2211yescharacteristic, complemented
91#16810948C2211yescharacteristic, complemented
92#16810946C2211yescharacteristic, complemented
93#16810945C2211yescharacteristic, complemented
94#16810944C2211yescharacteristic, complemented
95#16810944C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic, complemented
97#16810937C2211yescharacteristic
98#16810935C2211yescharacteristic
99#16810925C2211yescharacteristic
100#16810924C2211yescharacteristic, complemented
101#16810923C2211yescharacteristic
102#16810921C2211yescharacteristic, complemented
103#16810918C2211yescharacteristic, complemented
104#16810916C2211yescharacteristic, complemented
105#16810906C2211yescharacteristic, complemented
106#16810906C2211yescharacteristic, complemented
107#16810904C2211yescharacteristic, complemented
108#16810901C2211yescharacteristic
109#16810901C2211yescharacteristic, complemented
110#16810901C2211yescharacteristic, complemented
111#16810876C2211yescharacteristic
112#16810873C2211yescharacteristic
113#16810866C2211yescharacteristic, complemented
114#16810859C2211yescharacteristic, complemented
115#16810857C2211yescharacteristic
116#16810857C2211yescharacteristic, complemented
117#16810857C2211yescharacteristic, complemented
118#16810856C2211yescharacteristic
119#16810854C2211yescharacteristic, complemented
120#16810849C2211yescharacteristic, complemented
121#16810847C2211yescharacteristic, complemented
122#16810840C2211yescharacteristic, complemented
123#16810835C2211yescharacteristic, complemented
124#16810821C2211yescharacteristic
125#16810821C2211yescharacteristic, complemented
126#16810816C2211yescharacteristic
127#16810816C2211yescharacteristic
128#16810816C2211yescharacteristic
129#16810816C2211yescharacteristic, complemented
130#16810815C2211yescharacteristic, complemented
131#16810784C2211yescharacteristic, complemented
132#16810768C2211yescharacteristic
133#16810768C2211yescharacteristic
134#16810768C2211yescharacteristic, complemented
135#16810767C2211yescharacteristic
136#16810757C2211yescharacteristic
137#16810755C2211yescharacteristic
138#16810755C2211yescharacteristic
139#16810751C2211yescharacteristic, complemented
140#16810747C2211yescharacteristic, complemented
141#16810736C2211yescharacteristic, complemented
142#16810735C2211yescharacteristic
143#16810735C2211yescharacteristic, complemented
144#16810735C2211yescharacteristic, complemented
145#16810732C2211yescharacteristic
146#16810732C2211yescharacteristic, complemented
147#16810726C2211yescharacteristic, complemented
148#16810726C2211yescharacteristic, complemented
149#16810724C2211yescharacteristic
150#16810724C2211yescharacteristic, complemented
151#16810724C2211yescharacteristic, complemented
152Q16×Dic53C2211yescharacteristic, complemented
153Q16×Dic53C2211yescharacteristic, complemented
154SD16×Dic53C2211yescharacteristic
155SD16×Dic53C2211yescharacteristic
156SD16×Dic53C2211yescharacteristic, complemented
157SD16×Dic53C2211yescharacteristic, complemented
158SD16×Dic53C2211yescharacteristic, complemented
159C4×#11719924C2211yescharacteristic, complemented
160D8×Dic53C2211yescharacteristic
161D8×Dic53C2211yescharacteristic
162D8×Dic53C2211yescharacteristic
163D8×Dic53C2211yescharacteristic, complemented
164#16810705C2211yescharacteristic, complemented
165C4×#11719922C2211yescharacteristic
166#16810703C2211yescharacteristic, complemented
167#16810703C2211yescharacteristic, complemented
168#16810699C2211yescharacteristic
169#16810694C2211yescharacteristic, complemented
170D4×#88322C2211yescharacteristic, complemented
171#16810686C2211yescharacteristic
172#16810686C2211yescharacteristic, complemented
173#16810683C2211yescharacteristic, complemented
174#16810681C2211yescharacteristic, complemented
175#16810677C2211yescharacteristic, complemented
176#16810665C2211yescharacteristic, complemented
177#16810664C2211yescharacteristic, complemented
178#16810661C2211yescharacteristic, complemented
179#16810619C2211yescharacteristic
180#16810619C2211yescharacteristic, complemented
181#16810619C2211yescharacteristic, complemented
182#16810618C2211yescharacteristic, complemented
183C2×#13133138C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#16810581C2211yescharacteristic, complemented
186#16810580C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C53C2211yescharacteristic
189C2×#135×C53C2211yescharacteristic
190C53×#550C2211yescharacteristic, complemented
191C53×#546C2211yescharacteristic
192C53×#496C2211yescharacteristic, complemented
193C53×#468C2211yescharacteristic, complemented
194C53×#466C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic
197C53×#452C2211yescharacteristic, complemented
198C53×#449C2211yescharacteristic
199C53×#449C2211yescharacteristic, complemented
200C53×#447C2211yescharacteristic
201C53×#440C2211yescharacteristic
202C53×#435C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719947—21no—
205C2×#11719947—21no—
206C2×#11719947—21no—
207C2×#11719947—21no—
208C22×Dic106—21no—
209C22×C22⋊D53—21no—
210C2×D4×D53C2311yescharacteristic
211#13133244—24no—
212C2×#11719924C2311yescharacteristic
213C2×#11719924C2311yescharacteristic
214C2×D424C2311yescharacteristic
215C2×#11719922C2311yescharacteristic
216C2×#11719922C2311yescharacteristic
217C2×#11719922C2311yescharacteristic
218C2×#11719922C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220C22×#88322C2311yescharacteristic
221C22×#88322C2311yescharacteristic
222C2×C8×D53C2311yescharacteristic
223#13133217C2311yescharacteristic
224#13133216—21no—
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133216C2311yescharacteristic
228#13133213—21no—
229#13133213—21no—
230#13133213C2311yescharacteristic
231#13133213C2311yescharacteristic
232#13133213C2311yescharacteristic
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212D411yescharacteristic
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210D411yescharacteristic
241#13133209—21no—
242#13133209C2311yescharacteristic
243#13133208—21no—
244#13133208C2311yescharacteristic
245#13133207D411yescharacteristic
246#13133206C2311yescharacteristic
247#13133204—21no—
248#13133203—21no—
249#13133203—21no—
250#13133203—21no—
251#13133203—21no—
252#13133203—21no—
253#13133203—21no—
254#13133203—21no—
255#13133203—21no—
256#13133203—21no—
257#13133203D411yescharacteristic
258#13133201—21no—
259#13133201—21no—
260#13133201—21no—
261#13133201D411yescharacteristic
262#13133200—21no—
263#13133199—21no—
264#13133199—21no—
265#13133199—21no—
266#13133199—21no—
267#13133199—21no—
268#13133198—21no—
269#13133198—21no—
270#13133198—21no—
271#13133198—21no—
272#13133198D411yescharacteristic
273#13133197—21no—
274#13133196—21no—
275#13133194—21no—
276#13133194—21no—
277#13133194—21no—
278#13133194—21no—
279#13133194D411yescharacteristic
280#13133193C2311yescharacteristic
281#13133191—21no—
282#13133191—21no—
283#13133191C2311yescharacteristic
284#13133191C2311yescharacteristic
285#13133191C2311yescharacteristic
286#13133191C2311yescharacteristic
287#13133189—21no—
288#13133189—21no—
289#13133189—21no—
290#13133189—21no—
291#13133189—21no—
292#13133189—21no—
293#13133189—21no—
294#13133189—21no—
295#13133189—21no—
296#13133189—21no—
297#13133189—21no—
298#13133189D411yescharacteristic
299#13133188—21no—
300#13133188—21no—
301#13133188—21no—
302#13133188—21no—
303#13133188—21no—
304#13133188—21no—
305#13133188C2311yescharacteristic
306#13133188C2311yescharacteristic
307#13133188C2311yescharacteristic
308#13133186—21no—
309#13133185—21no—
310#13133185—21no—
311Q8×Dic53C2311yescharacteristic
312Q8×Dic53C2311yescharacteristic
313Q8×Dic53C2311yescharacteristic
314Q8×Dic53C2311yescharacteristic
315Q8×Dic53C2311yescharacteristic
316C4×Dic106—21no—
317C4×Dic106C2311yescharacteristic
318#13133182—21no—
319C4×D212—21no—
320C4×D212C2311yescharacteristic
321C4×D212C2311yescharacteristic
322D4×Dic53—21no—
323D4×Dic53—21no—
324D4×Dic53—21no—
325D4×Dic53—21no—
326D4×Dic53—21no—
327D4×Dic53—21no—
328D4×Dic53—21no—
329D4×Dic53—21no—
330D4×Dic53C2311yescharacteristic
331D4×Dic53C2311yescharacteristic
332D4×Dic53C2311yescharacteristic
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53C2311yescharacteristic
346C4×C22⋊D53C2311yescharacteristic
347#13133177—21no—
348#13133177—21no—
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133176—21no—
354#13133176—21no—
355#13133176—21no—
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133176C2311yescharacteristic
359#13133176C2311yescharacteristic
360#13133175—21no—
361#13133175C2311yescharacteristic
362#13133174—21no—
363#13133174C2311yescharacteristic
364#13133173—21no—
365C2×C4⋊Dic53—21no—
366C2×C4⋊Dic53C2311yescharacteristic
367C4⋊C4×D53—21no—
368C4⋊C4×D53C2311yescharacteristic
369C2×C22⋊Dic53—21no—
370C2×C22⋊Dic53—21no—
371C2×#11719921—21no—
372C2×#11719921—21no—
373C22⋊C4×D53—21no—
374C2×C4×Dic53—21no—
375C2×C4×Dic53—21no—
376C2×C4×Dic53C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133151C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133149C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392C4⋊#88322C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133141C2311yescharacteristic
398#13133141C2311yescharacteristic
399#13133141C2311yescharacteristic
400#13133141C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133139C2311yescharacteristic
404#13133139C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133138C2311yescharacteristic
410#13133138C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C2×#41×C53C2311yescharacteristic
437C2×#41×C53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439C22×D4×C53C2311yescharacteristic
440AGL(1,ℤ/8)×C53—24no—
441#135×C53—24no—
442C2×Q16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×SD16×C53C2311yescharacteristic
445C2×SD16×C53C2311yescharacteristic
446C2×SD16×C53C2311yescharacteristic
447C2×D8×C53C2311yescharacteristic
448C2×D8×C53C2311yescharacteristic
449C2×D8×C53C2311yescharacteristic
450C2×D8×C53C2311yescharacteristic
451C2×M16×C53C2311yescharacteristic
452C22×C8×C53C2311yescharacteristic
453#127×C53—21no—
454#127×C53C2311yescharacteristic
455#124×C53C2311yescharacteristic
456#123×C53—21no—
457C22⋊Q8×C53C2311yescharacteristic
458#121×C53—21no—
459#121×C53—21no—
460#121×C53—21no—
461#121×C53C2311yescharacteristic
462#121×C53C2311yescharacteristic
463#121×C53C2311yescharacteristic
464#120×C53—21no—
465C4×Q8×C53C2311yescharacteristic
466C4×D4×C53—21no—
467C4×D4×C53C2311yescharacteristic
468C4×D4×C53C2311yescharacteristic
469C2×C22⋊C4×C53—21no—
470#107×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—22no—
485#41×C53—22no—
486#41×C53—41no—
487#41×C53—41no—
488#41×C53—41no—
489C2×Q8×C53C2411yescharacteristic
490C2×Q8×C53C2411yescharacteristic
491C2×D4×C53—22no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53—21no—
498C2×D4×C53—21no—
499C2×D4×C53—21no—
500C2×D4×C53—21no—
501C2×D4×C53—41no—
502C2×D4×C53C2×D411yescharacteristic
503C2×D4×C53C2411yescharacteristic
504C2×D4×C53C2411yescharacteristic
505C2×D4×C53C2411yescharacteristic
506C2×D4×C53C2411yescharacteristic
507C22×C4×C53—21no—
508C22×C4×C53—21no—
509C22×C4×C53—21no—
510C22×C4×C53—21no—
511C22×C4×C53C2411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—82no—
528C2×C22⋊D53C2×D411yescharacteristic
529C2×C22⋊D53C2×D411yescharacteristic
530C22×Dic53—21no—
531C22×Dic53—21no—
532C22×Dic53—21no—
533C22×Dic53—21no—
534C22×Dic53—21no—
535C22×Dic53—21no—
536C22×Dic53—21no—
537C22×Dic53—21no—
538C22×Dic53—21no—
539C22×Dic53—21no—
540C22×Dic53C2×D411yescharacteristic
541C22×Dic53C2×D411yescharacteristic
542#11719949—22no—
543#11719949—41no—
544#11719947—82no—
545#11719947—82no—
546#11719947—82no—
547#11719947—82no—
548D4×D53—22no—
549D4×D53—41no—
550C2×D212—21no—
551C2×D212C2411yescharacteristic
552C2×D212C2411yescharacteristic
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53C2411yescharacteristic
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—21no—
564C2×Dic106—82no—
565C2×Dic106C2×D411yescharacteristic
566Q16×C53—22no—
567SD16×C53—22no—
568SD16×C53—22no—
569SD16×C53—41no—
570SD16×C53#4114yescomplemented
571D8×C53—22no—
572D8×C53—22no—
573D8×C53—22no—
574D8×C53—41no—
575M16×C53—22no—
576C2×C8×C53—22no—
577C2×C8×C53C2411yescharacteristic
578C2×C8×C53C2411yescharacteristic
579C2×C8×C53C2411yescharacteristic
580C2×C8×C53C2411yescharacteristic
581C4⋊C4×C53—21no—
582C4⋊C4×C53—21no—
583C4⋊C4×C53C2×D411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C4⋊C4×C53C2411yescharacteristic
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53—21no—
593C22⋊C4×C53C2×D411yescharacteristic
594C22⋊C4×C53C2×D411yescharacteristic
595C42×C53—21no—
596C42×C53C2411yescharacteristic
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53—21no—
610C22⋊Dic53—21no—
611C22⋊Dic53—21no—
612C22⋊Dic53C2×D411yescharacteristic
613C22⋊Dic53C2×D411yescharacteristic
614C22⋊Dic53C2×D411yescharacteristic
615C22⋊Dic53C2×D411yescharacteristic
616#11719924—22no—
617#11719924—41no—
618#11719922—22no—
619#11719922—41no—
620#11719922—41no—
621#11719922—41no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921C2×D411yescharacteristic
635#11719921C2×D411yescharacteristic
636#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53C2×D411yescharacteristic
647C4⋊Dic53C2×D411yescharacteristic
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653C4⋊Dic53C2411yescharacteristic
654C4⋊Dic53C2411yescharacteristic
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668#11719919C2×D411yescharacteristic
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53C2×D411yescharacteristic
679C4×Dic53C2×D411yescharacteristic
680C4×Dic53C2411yescharacteristic
681C4×Dic53C2411yescharacteristic
682C4×Dic53C2411yescharacteristic
683C2×#88322—41no—
684C2×#88322—41no—
685C2×#88322C2411yescharacteristic
686C2×#88322C2411yescharacteristic
687C2×#88322C2411yescharacteristic
688C2×#88322C2411yescharacteristic
689D424—22no—
690#11719912—22no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53—21no—
696C23×C53—42no—
697C23×C53—81no—
698C23×C53—81no—
699C23×C53C22×D411yescharacteristic
700C23×C53C22×D411yescharacteristic
701C22×D53—21no—
702C22×D53—21no—
703C22×D53—42no—
704C22×D53—81no—
705C22×D53—81no—
706C22×D53C22×D411yescharacteristic
707Q8×C53—21no—
708Q8×C53—21no—
709Q8×C53—21no—
710Q8×C53C2×#4112yes—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—21no—
715D4×C53—21no—
716D4×C53—21no—
717D4×C53—21no—
718D4×C53—41no—
719D4×C53—42no—
720D4×C53—42no—
721D4×C53—42no—
722D4×C53—42no—
723D4×C53—81no—
724D4×C53—81no—
725D4×C53—81no—
726D4×C53—81no—
727D4×C53—81no—
728D4×C53C2×#4112yes—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—21no—
733C2×C4×C53—21no—
734C2×C4×C53—21no—
735C2×C4×C53—21no—
736C2×C4×C53—21no—
737C2×C4×C53—42no—
738C2×C4×C53—42no—
739C2×C4×C53—42no—
740C2×C4×C53—81no—
741C2×C4×C53C22×D411yescharacteristic
742C2×C4×C53C22×D411yescharacteristic
743C2×C4×C53C22×D411yescharacteristic
744C2×C4×C53C22×D411yescharacteristic
745C2×C4×C53C2511yescharacteristic
746C22⋊D53—22no—
747C22⋊D53—41no—
748C22⋊D53—42no—
749C22⋊D53—42no—
750C22⋊D53—42no—
751C22⋊D53—81no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C22⋊D53—81no—
757C22⋊D53—81no—
758C22⋊D53—81no—
759C22⋊D53—81no—
760C22⋊D53—81no—
761C22⋊D53—81no—
762C2×Dic53—22no—
763C2×Dic53—21no—
764C2×Dic53—21no—
765C2×Dic53—21no—
766C2×Dic53—21no—
767C2×Dic53—21no—
768C2×Dic53—21no—
769C2×Dic53—41no—
770C2×Dic53—42no—
771C2×Dic53—42no—
772C2×Dic53—81no—
773C2×Dic53—81no—
774C2×Dic53—81no—
775C2×Dic53—81no—
776C2×Dic53—81no—
777C2×Dic53—81no—
778C2×Dic53—81no—
779C2×Dic53—81no—
780C2×Dic53C22×D411yescharacteristic
781C2×Dic53C22×D411yescharacteristic
782C2×Dic53C22×D411yescharacteristic
783C2×Dic53C22×D411yescharacteristic
784C2×Dic53C22×D411yescharacteristic
785C2×Dic53C22×D411yescharacteristic
786C2×Dic53C22×D411yescharacteristic
787D212—21no—
788D212—21no—
789D212—21no—
790D212—21no—
791D212—42no—
792C4×D53—21no—
793C4×D53—21no—
794C4×D53—42no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798C4×D53—81no—
799C4×D53—81no—
800Dic106—22no—
801Dic106—42no—
802Dic106—42no—
803Dic106—81no—
804Dic106—81no—
805C8×C53—21no—
806C8×C53—21no—
807C8×C53—21no—
808C8×C53C2×#4112yes—
809#88322—21no—
810#88322—21no—
811#88322—21no—
812#88322—21no—
813#61494—531nomaximal, Sylow
814C22×C53—21no—
815C22×C53—21no—
816C22×C53—22no—
817C22×C53—21no—
818C22×C53—21no—
819C22×C53—21no—
820C22×C53—21no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53—41no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—41no—
830C22×C53—41no—
831C22×C53—41no—
832C22×C53—162no—
833C22×C53C23×D411yescharacteristic
834C2×D53—21no—
835C2×D53—21no—
836C2×D53—21no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—22no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—21no—
849C4×C53—41no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53C22×#4111yescharacteristic
853C4×C53#58511yescharacteristic
854Dic53—21no—
855Dic53—21no—
856Dic53—21no—
857Dic53—21no—
858Dic53—21no—
859Dic53—21no—
860Dic53—41no—
861Dic53—41no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305—531no—
878#3304—531no—
879#3297—531no—
880#3297—531no—
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268D5311yescharacteristic, complemented
885#3179—531no—
886#3179—531no—
887#3169—531no—
888#3124—531no—
889#3124—531no—
890#3122—531no—
891#3122—531no—
892#3115—531no—
893#3115—531no—
894#2966—531no—
895#2946—531no—
896#2946—531no—
897C4×#135—531no—
898C2×C53—42no—
899C2×C53—41no—
900C2×C53—41no—
901C2×C53—81no—
902C2×C53—81no—
903C2×C53—81no—
904C2×C53D4×#4111yescharacteristic
905C2×C53C2×#57611yescharacteristic
906C2×C53#358411yescharacteristic
907D53—41no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)C2×D5311yescharacteristic
912C2×#135C2×D5311yescharacteristic
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555—531no—
918#553—531no—
919#553—531no—
920#553—1061no—
921#553—1061no—
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—1061no—
928#550C2×D5311yescharacteristic, complemented
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—1061no—
935#546C2×D5311yescharacteristic
936D42—531no—
937#542—531no—
938#542—531no—
939#540—531no—
940#540—531no—
941#540—1061no—
942#540—1061no—
943#538—1061no—
944#538—1061no—
945#532—531no—
946#532—531no—
947#532—1061no—
948#529—531no—
949#529—1061no—
950#529—1061no—
951C2×#124—1061no—
952#520—531no—
953#520—531no—
954#518—531no—
955#518—531no—
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501—531no—
960#500—531no—
961#496—531no—
962#496C2×D5311yescharacteristic, complemented
963#493—531no—
964#488—531no—
965#488—531no—
966#486—531no—
967#486—531no—
968#486—531no—
969#486—531no—
970#484—531no—
971#484—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482—531no—
979#482—531no—
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478—531no—
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469—531no—
996#468—531no—
997#468C2×D5311yescharacteristic, complemented
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466C2×D5311yescharacteristic, complemented
1004#465—531no—
1005#465—531no—
1006#464—531no—
1007#464C2×D5311yescharacteristic, complemented
1008#463—531no—
1009#463—531no—
1010#460—531no—
1011#460—531no—
1012#459—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459C2×D5311yescharacteristic
1018#452—531no—
1019#452C2×D5311yescharacteristic, complemented
1020#449—531no—
1021#449—531no—
1022#449—531no—
1023#449—531no—
1024#449C2×D5311yescharacteristic
1025#449C2×D5311yescharacteristic, complemented
1026#447—531no—
1027#447—531no—
1028#447—531no—
1029#447C2×D5311yescharacteristic
1030#446—531no—
1031C8×Q8—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442—531no—
1037#442—531no—
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440—531no—
1043#440C2×D5311yescharacteristic
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16—531no—
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8—531no—
1059C4×D8—531no—
1060#436—531no—
1061#435—531no—
1062#435C2×D5311yescharacteristic, complemented
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4—531no—
1066#433—531no—
1067#433—531no—
1068#432—531no—
1069#428—531no—
1070#428—531no—
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416—531no—
1076C2×#102—531no—
1077C2×#102—531no—
1078#405—531no—
1079#405—531no—
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—1061no—
1084C2×#41—1061no—
1085C2×#41—1061no—
1086C2×#41—1061no—
1087C2×#41C22×D5311yescharacteristic
1088C2×#41C22×D5311yescharacteristic
1089C2×#41C22×D5311yescharacteristic
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—1061no—
1093C22×D4C22×D5311yescharacteristic
1094AGL(1,ℤ/8)—24no—
1095AGL(1,ℤ/8)—1064no—
1096#135—24no—
1097C2×Q16C22×D5311yescharacteristic
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16C22×D5311yescharacteristic
1101C2×SD16C22×D5311yescharacteristic
1102C2×SD16C22×D5311yescharacteristic
1103C2×SD16C22×D5311yescharacteristic
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8C22×D5311yescharacteristic
1110C2×D8C22×D5311yescharacteristic
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16C22×D5311yescharacteristic
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8—531no—
1118C22×C8C22×D5311yescharacteristic
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—531no—
1123C4⋊Q8—1061no—
1124#127—21no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—1061no—
1129#127—1061no—
1130#127C22×D5311yescharacteristic
1131#126—531no—
1132#126—531no—
1133#126—1061no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—531no—
1142#125—1061no—
1143#125—1061no—
1144#124—531no—
1145#124—531no—
1146#124—1061no—
1147#124—1061no—
1148#124—1061no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124C22×D5311yescharacteristic
1157#123—21no—
1158#123—531no—
1159#123—531no—
1160#123—1061no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173C22⋊Q8—531no—
1174C22⋊Q8—531no—
1175C22⋊Q8—1061no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8C22×D5311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—531no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121—1061no—
1199#121—1061no—
1200#121—1061no—
1201#121—1061no—
1202#121—1061no—
1203#121—1061no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121C22×D5311yescharacteristic
1213#121C22×D5311yescharacteristic
1214#121C22×D5311yescharacteristic
1215#120—21no—
1216#120—1061no—
1217#120—1061no—
1218#120—1061no—
1219C4×Q8—531no—
1220C4×Q8—531no—
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—1061no—
1226C4×Q8—1061no—
1227C4×Q8C22×D5311yescharacteristic
1228C4×D4—21no—
1229C4×D4—531no—
1230C4×D4—531no—
1231C4×D4—531no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—531no—
1239C4×D4—531no—
1240C4×D4—531no—
1241C4×D4—531no—
1242C4×D4—531no—
1243C4×D4—531no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4—1061no—
1251C4×D4—1061no—
1252C4×D4—1061no—
1253C4×D4—1061no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4—1061no—
1260C4×D4—1061no—
1261C4×D4—1061no—
1262C4×D4—1061no—
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—531no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—531no—
1270#117—531no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117—1061no—
1276#117—1061no—
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4—1061no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—1061no—
1283C2×C22⋊C4—1061no—
1284C2×C22⋊C4—1061no—
1285C2×C22⋊C4—1061no—
1286C2×C22⋊C4—1061no—
1287C2×C42—531no—
1288C2×C42—1061no—
1289C2×C42—1061no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107—531no—
1295#107—531no—
1296#107—531no—
1297#107—531no—
1298#107—531no—
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106—531no—
1305#106—531no—
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102—531no—
1338#102—531no—
1339#102—531no—
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8C22×D5311yescharacteristic
1349C22⋊C8C22×D5311yescharacteristic
1350#97—531no—
1351#97—531no—
1352#97—531no—
1353#97C22×D5311yescharacteristic
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8—531no—
1360C24—21no—
1361C24—1061no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—1062no—
1369#41—4242no—
1370#41—4242no—
1371#41—4242no—
1372#41—4242no—
1373#41—2121no—
1374C2×Q8—531no—
1375C2×Q8—1061no—
1376C2×Q8—1061no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—4242no—
1380C2×Q8C23×D5311yescharacteristic
1381C2×Q8C23×D5311yescharacteristic
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—41no—
1393C2×D4—531no—
1394C2×D4—531no—
1395C2×D4—531no—
1396C2×D4—531no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1061no—
1405C2×D4—1062no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—4242no—
1414C2×D4—2121no—
1415C2×D4D4×D5311yescharacteristic
1416C2×D4C23×D5311yescharacteristic
1417C2×D4C23×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—531no—
1425C22×C4—531no—
1426C22×C4—531no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1061no—
1430C22×C4—1061no—
1431C22×C4—1061no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4C23×D5311yescharacteristic
1444C22×C4C23×D5311yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—41no—
1449SD16—1062no—
1450SD16—2121no—
1451SD16#1171994714yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—41no—
1456D8—1062no—
1457D8—1062no—
1458D8—2121no—
1459D8—2121no—
1460D8—2121no—
1461M16—22no—
1462M16—1062no—
1463C2×C8—22no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—2121no—
1469C2×C8—2121no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—531no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—531no—
1491C4⋊C4—531no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4—1061no—
1506C4⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4D4×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—531no—
1519C22⋊C4—531no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4D4×D5311yescharacteristic
1554C22⋊C4D4×D5311yescharacteristic
1555C42—21no—
1556C42—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—531no—
1579C23—1061no—
1580C23—1061no—
1581C23—4241no—
1582C23—4241no—
1583C23—2122no—
1584C23C2×D4×D5311yescharacteristic
1585C23C2×D4×D5311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—1062no—
1590Q8—4241no—
1591Q8—4241no—
1592Q8—2122no—
1593Q8—2122no—
1594Q8C2×#1171994712yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—1062no—
1613D4—1061no—
1614D4—1061no—
1615D4—1061no—
1616D4—1061no—
1617D4—4241no—
1618D4—4241no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—4241no—
1623D4—4241no—
1624D4—4241no—
1625D4—4241no—
1626D4—4241no—
1627D4—4241no—
1628D4—2122no—
1629D4—2122no—
1630D4—2122no—
1631D4—2121no—
1632D4—2122no—
1633D4C2×#1171994712yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—531no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—1062no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—1061no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—4241no—
1672C2×C4—4241no—
1673C2×C4—4241no—
1674C2×C4—4241no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4—2121no—
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1061no—
1688C8—1061no—
1689C8—1061no—
1690C8—1061no—
1691C8C2×#1171994712yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—162no—
1711C22—8482no—
1712C22—1061no—
1713C22—1061no—
1714C22—1061no—
1715C22—2121no—
1716C22—2121no—
1717C22—2121no—
1718C22—2121no—
1719C22—2121no—
1720C22—2121no—
1721C22C22×D4×D5311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—532no—
1731C4—1061no—
1732C4—1061no—
1733C4—1061no—
1734C4—1061no—
1735C4—1061no—
1736C4—1061no—
1737C4—2121no—
1738C4—2121no—
1739C4—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C22×#1171994711yescharacteristic
1744C4#1681145811yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—4241no—
1752C2—4241no—
1753C2—2121no—
1754C2D4×#1171994711yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3268C2
socleC22×C53C23×D4
hypercenter#3268D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #20288712C2semidirect
2. #20288663C2semidirect
3. #20287754C2semidirect
4. #20287637C2semidirect
5. #20287406C2semidirect
6. #20287345C2semidirect
7. #20287294C2semidirect
8. #20287221C2semidirect
9. #20287217C2semidirect
10. #20286665C2semidirect
11. #20286658C2semidirect
12. #20286647C2semidirect
13. #20286565C2semidirect
14. #20286558C2semidirect
15. #20286521C2semidirect
16. #20286329C2semidirect
17. #20286255C2semidirect
18. #20285395C2semidirect
19. #20285391C2semidirect
20. #20285289C2semidirect
21. #20284978C2semidirect
22. #20284976C2semidirect
23. #20284956C2semidirect
24. #20284952C2semidirect
25. #20284859C2semidirect
26. #20284859C2semidirect
27. #20283685C2semidirect
28. #20283548C2semidirect
29. #20283546C2semidirect
30. #135×Dic53C2semidirect
31. C53×#3268C2semidirect
34. #16811349C22semidirect
39. #16811320C22semidirect
41. #16811319C22semidirect
45. #16811293C22semidirect
47. #16811292C22semidirect
58. #16811227C22semidirect
60. #16811226C22semidirect
65. #16811168C22semidirect
70. #16811106C22semidirect
71. #16811105C22semidirect
75. #41×Dic53C22semidirect
76. #16811032C22semidirect
77. #16811031C22semidirect
78. #16811027C22semidirect
79. #16811009C22semidirect
81. #16810979C22semidirect
82. #16810977C22semidirect
83. #16810969C22semidirect
85. #16810968C22semidirect
86. #16810968C22semidirect
87. #16810957C22semidirect
88. #16810956C22semidirect
89. #16810948C22semidirect
90. #16810948C22semidirect
91. #16810948C22semidirect
92. #16810946C22semidirect
93. #16810945C22semidirect
94. #16810944C22semidirect
95. #16810944C22semidirect
96. #16810944C22semidirect
100. #16810924C22semidirect
102. #16810921C22semidirect
103. #16810918C22semidirect
104. #16810916C22semidirect
105. #16810906C22semidirect
106. #16810906C22semidirect
107. #16810904C22semidirect
109. #16810901C22semidirect
110. #16810901C22semidirect
113. #16810866C22semidirect
114. #16810859C22semidirect
116. #16810857C22semidirect
117. #16810857C22semidirect
119. #16810854C22semidirect
120. #16810849C22semidirect
121. #16810847C22semidirect
122. #16810840C22semidirect
123. #16810835C22semidirect
125. #16810821C22semidirect
129. #16810816C22semidirect
130. #16810815C22semidirect
131. #16810784C22semidirect
134. #16810768C22semidirect
139. #16810751C22semidirect
140. #16810747C22semidirect
141. #16810736C22semidirect
143. #16810735C22semidirect
144. #16810735C22semidirect
146. #16810732C22semidirect
147. #16810726C22semidirect
148. #16810726C22semidirect
150. #16810724C22semidirect
151. #16810724C22semidirect
152. Q16×Dic53C22semidirect
153. Q16×Dic53C22semidirect
156. SD16×Dic53C22semidirect
157. SD16×Dic53C22semidirect
158. SD16×Dic53C22semidirect
159. C4×#11719924C22semidirect
163. D8×Dic53C22semidirect
164. #16810705C22semidirect
166. #16810703C22semidirect
167. #16810703C22semidirect
169. #16810694C22semidirect
170. D4×#88322C22semidirect
172. #16810686C22semidirect
173. #16810683C22semidirect
174. #16810681C22semidirect
175. #16810677C22semidirect
176. #16810665C22semidirect
177. #16810664C22semidirect
178. #16810661C22semidirect
180. #16810619C22semidirect
181. #16810619C22semidirect
182. #16810618C22semidirect
185. #16810581C22semidirect
186. #16810580C22semidirect
187. C2×C8×Dic53C22semidirect
190. C53×#550C22semidirect
192. C53×#496C22semidirect
193. C53×#468C22semidirect
194. C53×#466C22semidirect
195. C53×#464C22semidirect
197. C53×#452C22semidirect
199. C53×#449C22semidirect
202. C53×#435C22semidirect
570. SD16×C53#41semidirect
884. #3268D53semidirect
928. #550C2×D53semidirect
962. #496C2×D53semidirect
997. #468C2×D53semidirect
1003. #466C2×D53semidirect
1007. #464C2×D53semidirect
1019. #452C2×D53semidirect
1025. #449C2×D53semidirect
1062. #435C2×D53semidirect
1081. C53#61494semidirect
1451. SD16#11719947semidirect

Maximal subgroups

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

subgroupindex
#202887122
#202886632
#202877542
#202876372
#202874062
#202873452
#202872942
#202872212
#202872172
#202866652
#202866582
#202866472
#202865652
#202865582
#202865212
#202863292
#202862552
#202853952
#202853912
#202852892
#202849782
#202849762
#202849562
#202849522
#202848592
#202836852
#202835482
#202835462
#135×Dic532
C53×#32682
#6149453