Finite Group Databasebeta

← #28279867

Subgroups — #28279867

Order 13568.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288617C211yesmaximal, characteristic, complemented
2D4×#11719947C211yesmaximal, characteristic, complemented
3#20287617C211yesmaximal, characteristic, complemented
4#20287615C211yesmaximal, characteristic, complemented
5#20287419C211yesmaximal, characteristic, complemented
6#20287417C211yesmaximal, characteristic, complemented
7#20287308C211yesmaximal, characteristic, complemented
8#20287305C211yesmaximal, characteristic, complemented
9#20287191C211yesmaximal, characteristic, complemented
10#20287187C211yesmaximal, characteristic, complemented
11#20287183C211yesmaximal, characteristic, complemented
12#20287179C211yesmaximal, characteristic, complemented
13#20286953C211yesmaximal, characteristic, complemented
14#20286950C211yesmaximal, characteristic, complemented
15#20286860C211yesmaximal, characteristic, complemented
16#20286856C211yesmaximal, characteristic, complemented
17#20286852C211yesmaximal, characteristic, complemented
18#20286094C211yesmaximal, characteristic, complemented
19#20286092C211yesmaximal, characteristic, complemented
20#20286021C211yesmaximal, characteristic, complemented
21#20285910C211yesmaximal, characteristic, complemented
22#20285908C211yesmaximal, characteristic, complemented
23#20285841C211yesmaximal, characteristic, complemented
24#20284804C211yesmaximal, characteristic, complemented
25#20284801C211yesmaximal, characteristic, complemented
26#20284710C211yesmaximal, characteristic, complemented
27#20284510C211yesmaximal, characteristic, complemented
28#20284509C211yesmaximal, characteristic, complemented
29C2×#16810911C211yesmaximal, characteristic, complemented
30#20283827C211yesmaximal, characteristic, complemented
31C53×#3318C211yesmaximal, characteristic, complemented
32C22×#11719947—21no—
33#16811340—21no—
34#16811337C2211yescharacteristic, complemented
35#16811336C2211yescharacteristic, complemented
36#16811332C2211yescharacteristic, complemented
37#16811329C2211yescharacteristic, complemented
38#16811325C2211yescharacteristic, complemented
39#16811321C2211yescharacteristic, complemented
40#16811319C2211yescharacteristic, complemented
41#16811293C2211yescharacteristic
42D4×Dic106C2211yescharacteristic
43#16811282—21no—
44#16811279—21no—
45#16811279—21no—
46#16811277C2211yescharacteristic
47#16811273C2211yescharacteristic
48#16811273C2211yescharacteristic
49#16811271—21no—
50#16811267—21no—
51#16811260—21no—
52#16811260—21no—
53D4×C22⋊D53C2211yescharacteristic
54D4×C22⋊D53C2211yescharacteristic
55#16811241—21no—
56#16811239—21no—
57#16811200—21no—
58#16811179C2211yescharacteristic, complemented
59#16811176C2211yescharacteristic, complemented
60#16811171C2211yescharacteristic
61#16811170C2211yescharacteristic, complemented
62#16811168C2211yescharacteristic
63#16811168C2211yescharacteristic
64#16811168C2211yescharacteristic, complemented
65#16811168C2211yescharacteristic, complemented
66C2×#13133216C2211yescharacteristic, complemented
67#16811133—21no—
68#16811129—21no—
69#16811129—21no—
70#16811102—21no—
71C4×#11719947C2211yescharacteristic
72C2×D4×Dic53C2211yescharacteristic
73C2×D4×Dic53C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811033C2211yescharacteristic, complemented
76#16811032C2211yescharacteristic, complemented
77#16811031C2211yescharacteristic, complemented
78#16811030C2211yescharacteristic, complemented
79#16811020C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810987C2211yescharacteristic, complemented
82#16810986C2211yescharacteristic, complemented
83#16810986C2211yescharacteristic, complemented
84#16810968C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic, complemented
86#16810948C2211yescharacteristic, complemented
87#16810947C2211yescharacteristic, complemented
88#16810946C2211yescharacteristic, complemented
89#16810946C2211yescharacteristic, complemented
90#16810945C2211yescharacteristic, complemented
91#16810945C2211yescharacteristic, complemented
92#16810944C2211yescharacteristic, complemented
93#16810943C2211yescharacteristic, complemented
94#16810942C2211yescharacteristic, complemented
95#16810942C2211yescharacteristic, complemented
96#16810941C2211yescharacteristic, complemented
97#16810940C2211yescharacteristic, complemented
98#16810939C2211yescharacteristic, complemented
99#16810939C2211yescharacteristic, complemented
100#16810937C2211yescharacteristic, complemented
101#16810934C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic
103#16810925C2211yescharacteristic, complemented
104#16810924C2211yescharacteristic, complemented
105#16810923C2211yescharacteristic
106#16810921C2211yescharacteristic
107#16810921C2211yescharacteristic, complemented
108#16810920C2211yescharacteristic, complemented
109#16810914C2211yescharacteristic, complemented
110#16810913C2211yescharacteristic, complemented
111#16810912C2211yescharacteristic, complemented
112#16810912C2211yescharacteristic, complemented
113#16810912C2211yescharacteristic, complemented
114#16810911C2211yescharacteristic
115#16810911C2211yescharacteristic
116#16810911C2211yescharacteristic
117#16810911C2211yescharacteristic
118#16810911C2211yescharacteristic, complemented
119#16810911C2211yescharacteristic, complemented
120#16810911C2211yescharacteristic, complemented
121#16810911C2211yescharacteristic, complemented
122#16810911C2211yescharacteristic, complemented
123#16810911C2211yescharacteristic, complemented
124#16810911C2211yescharacteristic, complemented
125#16810902C2211yescharacteristic, complemented
126#16810902C2211yescharacteristic, complemented
127#16810901C2211yescharacteristic
128#16810901C2211yescharacteristic, complemented
129#16810901C2211yescharacteristic, complemented
130#16810901C2211yescharacteristic, complemented
131#16810876C2211yescharacteristic, complemented
132#16810875C2211yescharacteristic, complemented
133#16810875C2211yescharacteristic, complemented
134#16810874C2211yescharacteristic, complemented
135#16810874C2211yescharacteristic, complemented
136#16810873C2211yescharacteristic, complemented
137#16810873C2211yescharacteristic, complemented
138#16810859C2211yescharacteristic, complemented
139#16810857C2211yescharacteristic, complemented
140#16810857C2211yescharacteristic, complemented
141#16810817C2211yescharacteristic, complemented
142#16810817C2211yescharacteristic, complemented
143#16810817C2211yescharacteristic, complemented
144#16810816C2211yescharacteristic
145#16810816C2211yescharacteristic, complemented
146#16810816C2211yescharacteristic, complemented
147#16810816C2211yescharacteristic, complemented
148#16810816C2211yescharacteristic, complemented
149#16810815C2211yescharacteristic, complemented
150#16810758C2211yescharacteristic
151#16810757C2211yescharacteristic
152#16810757C2211yescharacteristic
153#16810755C2211yescharacteristic
154#16810752C2211yescharacteristic, complemented
155#16810751C2211yescharacteristic, complemented
156#16810736C2211yescharacteristic, complemented
157#16810735C2211yescharacteristic
158#16810735C2211yescharacteristic, complemented
159#16810733C2211yescharacteristic
160#16810733C2211yescharacteristic, complemented
161#16810732C2211yescharacteristic
162#16810732C2211yescharacteristic, complemented
163D8×Dic53C2211yescharacteristic
164D8×Dic53C2211yescharacteristic, complemented
165#16810703C2211yescharacteristic
166#16810703C2211yescharacteristic, complemented
167#16810699C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic, complemented
169#16810695C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic, complemented
171#16810691C2211yescharacteristic, complemented
172#16810678C2211yescharacteristic, complemented
173#16810677C2211yescharacteristic, complemented
174#16810673C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810665C2211yescharacteristic, complemented
177#16810664C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179C2×#13133149C2211yescharacteristic, complemented
180C2×#13133148C2211yescharacteristic, complemented
181#16810646C2211yescharacteristic, complemented
182#16810645C2211yescharacteristic, complemented
183C2×#13133146C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic
185#16810626C2211yescharacteristic
186#16810626C2211yescharacteristic
187C2×#13133138C2211yescharacteristic
188C53×#553C2211yescharacteristic, complemented
189D42×C53C2211yescharacteristic
190C53×#490C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic
194C53×#469C2211yescharacteristic, complemented
195C53×#466C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#447C2211yescharacteristic
198C53×#447C2211yescharacteristic
199C53×#442C2211yescharacteristic
200C53×#435C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719947—21no—
205C2×#11719947—21no—
206C2×#11719947—21no—
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947—21no—
210C2×#11719947—21no—
211C2×#11719947—21no—
212C2×#11719947—21no—
213C2×#11719947—48no—
214C2×#11719947D411yescharacteristic
215C22×Dic106—21no—
216C22×Dic106—21no—
217C22×C22⋊D53—21no—
218C22×C22⋊D53—21no—
219C2×D4×D53C2311yescharacteristic
220C23×Dic53—21no—
221C23×Dic53—21no—
222C22×C4×D53—21no—
223C2×D424C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719917C2311yescharacteristic
229C2×#11719912C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C22×#88322C2311yescharacteristic
232#13133217C2311yescharacteristic
233#13133216—21no—
234#13133216—21no—
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133216C2311yescharacteristic
238#13133216C2311yescharacteristic
239#13133216C2311yescharacteristic
240#13133216C2311yescharacteristic
241#13133216C2311yescharacteristic
242#13133213C2311yescharacteristic
243#13133213C2311yescharacteristic
244#13133213C2311yescharacteristic
245#13133212—21no—
246#13133212—21no—
247#13133210—21no—
248#13133209C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133208C2311yescharacteristic
251#13133205—21no—
252#13133204—21no—
253#13133204—21no—
254#13133203—21no—
255#13133203—21no—
256#13133203—21no—
257#13133203—21no—
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133202—21no—
262#13133201—21no—
263#13133201—21no—
264#13133201—21no—
265#13133199—21no—
266#13133199—21no—
267#13133199—21no—
268#13133198—21no—
269#13133198—21no—
270#13133197—21no—
271#13133197—21no—
272#13133196—21no—
273#13133196—21no—
274#13133195—21no—
275#13133195—21no—
276#13133195—21no—
277#13133195—21no—
278#13133194—21no—
279#13133194—21no—
280#13133194—21no—
281#13133194—21no—
282#13133194—21no—
283#13133194—21no—
284#13133194—21no—
285#13133194—21no—
286#13133192C2311yescharacteristic
287#13133191—21no—
288#13133191C2311yescharacteristic
289#13133191C2311yescharacteristic
290#13133191C2311yescharacteristic
291#13133191C2311yescharacteristic
292#13133190—21no—
293#13133190—21no—
294#13133189—21no—
295#13133189—21no—
296#13133189—21no—
297#13133189—21no—
298#13133189—21no—
299#13133189—21no—
300#13133189—21no—
301#13133189—21no—
302#13133189—21no—
303#13133189—21no—
304#13133189—21no—
305#13133188—21no—
306#13133188—21no—
307#13133188C2311yescharacteristic
308#13133188C2311yescharacteristic
309#13133188C2311yescharacteristic
310#13133186—21no—
311#13133186—21no—
312#13133185—21no—
313#13133185—21no—
314C4×Dic106—21no—
315C4×Dic106—21no—
316C4×Dic106C2311yescharacteristic
317#13133182—21no—
318#13133182—21no—
319#13133182D411yescharacteristic
320C4×D212C2311yescharacteristic
321C4×D212C2311yescharacteristic
322D4×Dic53—21no—
323D4×Dic53—21no—
324D4×Dic53—21no—
325D4×Dic53—21no—
326D4×Dic53—21no—
327D4×Dic53—21no—
328D4×Dic53D411yescharacteristic
329D4×Dic53C2311yescharacteristic
330D4×Dic53C2311yescharacteristic
331D4×Dic53C2311yescharacteristic
332D4×Dic53C2311yescharacteristic
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338#13133179C2311yescharacteristic
339#13133179C2311yescharacteristic
340#13133179C2311yescharacteristic
341C4×C22⋊D53—21no—
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53C2311yescharacteristic
345C4×C22⋊D53C2311yescharacteristic
346#13133177—21no—
347#13133177—21no—
348#13133177—21no—
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177D411yescharacteristic
353#13133177D411yescharacteristic
354#13133176C2311yescharacteristic
355#13133175D411yescharacteristic
356#13133175C2311yescharacteristic
357#13133175C2311yescharacteristic
358#13133174—21no—
359#13133173—21no—
360#13133173D411yescharacteristic
361#13133173D411yescharacteristic
362C2×C4⋊Dic53C2311yescharacteristic
363C2×C4⋊Dic53C2311yescharacteristic
364C2×C4⋊Dic53C2311yescharacteristic
365C2×#11719919—21no—
366C2×#11719919—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53C2311yescharacteristic
369C2×C22⋊Dic53—21no—
370C2×C22⋊Dic53—21no—
371C22⋊C4×D53—21no—
372C2×C4×Dic53C2311yescharacteristic
373C2×C4×Dic53C2311yescharacteristic
374C42×D53C2311yescharacteristic
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133149C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428C22⋊#88322C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133128C2311yescharacteristic
432#13133127C2311yescharacteristic
433#13133127C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C22×D4×C53—21no—
437C22×D4×C53C2311yescharacteristic
438C22×D4×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440C2×D8×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×M16×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444#127×C53C2311yescharacteristic
445#126×C53—21no—
446#125×C53C2311yescharacteristic
447#123×C53—21no—
448#121×C53—21no—
449#121×C53—21no—
450#121×C53C2311yescharacteristic
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453#121×C53C2311yescharacteristic
454#120×C53—21no—
455#120×C53—21no—
456C4×D4×C53—21no—
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#102×C53C2311yescharacteristic
467#102×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477C22⋊C8×C53C2311yescharacteristic
478#97×C53C2311yescharacteristic
479C24×C53—21no—
480C24×C53—21no—
481C23×D53—21no—
482C2×D4×C53—22no—
483C2×D4×C53—22no—
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—41no—
493C2×D4×C53—41no—
494C2×D4×C53—44no—
495C2×D4×C53C2×D411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C2×D4×C53C2411yescharacteristic
498C2×D4×C53C2411yescharacteristic
499C2×D4×C53C2411yescharacteristic
500C22×C4×C53—21no—
501C22×C4×C53—21no—
502C22×C4×C53—21no—
503C22×C4×C53C2411yescharacteristic
504C22×C4×C53C2411yescharacteristic
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊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—44no—
520C2×C22⋊D53—44no—
521C2×C22⋊D53C2×D411yescharacteristic
522C2×C22⋊D53C2×D411yescharacteristic
523C22×Dic53—21no—
524C22×Dic53—21no—
525C22×Dic53—21no—
526C22×Dic53—21no—
527C22×Dic53—21no—
528C22×Dic53—21no—
529C22×Dic53—21no—
530C22×Dic53—21no—
531C22×Dic53—21no—
532C22×Dic53—21no—
533C22×Dic53—21no—
534C22×Dic53—21no—
535C22×Dic53—44no—
536C22×Dic53—44no—
537C22×Dic53C2×D411yescharacteristic
538C22×Dic53C2×D411yescharacteristic
539C22×Dic53C2×D411yescharacteristic
540C22×Dic53C2×D411yescharacteristic
541#11719947—24no—
542#11719947—44no—
543#11719947—44no—
544#11719947—44no—
545#11719947—44no—
546#11719947—44no—
547#11719947—44no—
548#11719947—44no—
549#11719947—44no—
550#11719947—82no—
551D4×D53—22no—
552D4×D53—41no—
553#11719945—82no—
554C2×D212—21no—
555C2×D212C2411yescharacteristic
556C2×D212C2411yescharacteristic
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53—21no—
560C2×C4×D53—21no—
561C2×C4×D53—21no—
562C2×C4×D53—21no—
563C2×C4×D53—44no—
564C2×C4×D53C2×D411yescharacteristic
565C2×C4×D53C2×D411yescharacteristic
566C2×C4×D53C2411yescharacteristic
567C2×Dic106—21no—
568C2×Dic106—21no—
569C2×Dic106—21no—
570C2×Dic106—21no—
571C2×Dic106—21no—
572C2×Dic106—21no—
573C2×Dic106—21no—
574C2×Dic106—21no—
575C2×Dic106—44no—
576C2×Dic106—82no—
577C2×Dic106C2×D411yescharacteristic
578D8×C53—22no—
579D8×C53—41no—
580D8×C53—41no—
581M16×C53—41no—
582C2×C8×C53—41no—
583C2×C8×C53C2411yescharacteristic
584C2×C8×C53C2411yescharacteristic
585C2×C8×C53C2411yescharacteristic
586C2×C8×C53C2411yescharacteristic
587C4⋊C4×C53—21no—
588C4⋊C4×C53—21no—
589C4⋊C4×C53—21no—
590C4⋊C4×C53C2×D411yescharacteristic
591C4⋊C4×C53C2411yescharacteristic
592C4⋊C4×C53C2411yescharacteristic
593C4⋊C4×C53C2411yescharacteristic
594C4⋊C4×C53C2411yescharacteristic
595C22⋊C4×C53—21no—
596C22⋊C4×C53—21no—
597C22⋊C4×C53—21no—
598C22⋊C4×C53—21no—
599C22⋊C4×C53—21no—
600C22⋊C4×C53—21no—
601C22⋊C4×C53—21no—
602C22⋊C4×C53C2×D411yescharacteristic
603C22⋊C4×C53C2×D411yescharacteristic
604C42×C53—21no—
605C42×C53C2411yescharacteristic
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53—21no—
610C22⋊Dic53—21no—
611C22⋊Dic53—21no—
612C22⋊Dic53—21no—
613C22⋊Dic53—21no—
614C22⋊Dic53—21no—
615C22⋊Dic53—21no—
616C22⋊Dic53—21no—
617C22⋊Dic53—21no—
618C22⋊Dic53—21no—
619C22⋊Dic53C2×D411yescharacteristic
620C22⋊Dic53C2×D411yescharacteristic
621#11719922—22no—
622#11719922—41no—
623#11719922—41no—
624#11719922—41no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639C4⋊Dic53—21no—
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53C2×D411yescharacteristic
646C4⋊Dic53C2411yescharacteristic
647C4⋊Dic53C2411yescharacteristic
648C4⋊Dic53C2411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
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#11719919—21no—
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2×D411yescharacteristic
673C4×Dic53C2×D411yescharacteristic
674C4×Dic53C2×D411yescharacteristic
675C4×Dic53C2×D411yescharacteristic
676C4×Dic53C2×D411yescharacteristic
677C4×Dic53C2411yescharacteristic
678C4×Dic53C2411yescharacteristic
679C4×Dic53C2411yescharacteristic
680#11719917—41no—
681C2×#88322—41no—
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684C2×#88322C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686D424—41no—
687#11719912—41no—
688#11719912—41no—
689C23×C53—21no—
690C23×C53—21no—
691C23×C53—21no—
692C23×C53—21no—
693C23×C53—42no—
694C23×C53—42no—
695C23×C53—42no—
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—42no—
705C22×D53—81no—
706C22×D53C22×D411yescharacteristic
707D4×C53—22no—
708D4×C53—21no—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—21no—
715D4×C53—42no—
716D4×C53—42no—
717D4×C53—42no—
718D4×C53—42no—
719D4×C53—42no—
720D4×C53—42no—
721D4×C53—81no—
722D4×C53—81no—
723D4×C532−1+412yes—
724C2×C4×C53—21no—
725C2×C4×C53—21no—
726C2×C4×C53—21no—
727C2×C4×C53—21no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—42no—
733C2×C4×C53—81no—
734C2×C4×C53—81no—
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C22×D411yescharacteristic
739C2×C4×C53C2511yescharacteristic
740C22⋊D53—22no—
741C22⋊D53—22no—
742C22⋊D53—42no—
743C22⋊D53—42no—
744C22⋊D53—42no—
745C22⋊D53—42no—
746C22⋊D53—42no—
747C22⋊D53—42no—
748C22⋊D53—42no—
749C22⋊D53—42no—
750C22⋊D53—42no—
751C22⋊D53—42no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C2×Dic53—22no—
757C2×Dic53—21no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—21no—
763C2×Dic53—41no—
764C2×Dic53—41no—
765C2×Dic53—42no—
766C2×Dic53—42no—
767C2×Dic53—42no—
768C2×Dic53—42no—
769C2×Dic53—42no—
770C2×Dic53—42no—
771C2×Dic53—42no—
772C2×Dic53—42no—
773C2×Dic53—42no—
774C2×Dic53—42no—
775C2×Dic53—81no—
776C2×Dic53—81no—
777C2×Dic53AGL(1,ℤ/8)14yes—
778C2×Dic53C22×D411yescharacteristic
779C2×Dic53C22×D411yescharacteristic
780C2×Dic53C22×D411yescharacteristic
781C2×Dic53C22×D411yescharacteristic
782C2×Dic53C22×D411yescharacteristic
783C2×Dic53C22×D411yescharacteristic
784C2×Dic53C22×D411yescharacteristic
785D212—21no—
786D212—21no—
787D212—21no—
788D212—21no—
789D212—81no—
790C4×D53—21no—
791C4×D53—21no—
792C4×D53—22no—
793C4×D53—41no—
794C4×D53—42no—
795C4×D53—42no—
796C4×D53—42no—
797C4×D53—42no—
798C4×D53—81no—
799C4×D53—81no—
800Dic106—22no—
801Dic106—42no—
802Dic106—42no—
803Dic106—42no—
804Dic106—42no—
805Dic106—42no—
806Dic106—42no—
807Dic106—81no—
808Dic106—81no—
809C8×C53—21no—
810C8×C53—21no—
811C8×C53—21no—
812C8×C53—21no—
813#88322—21no—
814#88322—21no—
815#88322—21no—
816#88322—21no—
817#62110—531nomaximal, Sylow
818C22×C53—21no—
819C22×C53—21no—
820C22×C53—21no—
821C22×C53—22no—
822C22×C53—21no—
823C22×C53—21no—
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—41no—
833C22×C53—41no—
834C22×C53—41no—
835C22×C53—84no—
836C22×C53—84no—
837C22×C53C2×AGL(1,ℤ/8)12yes—
838C22×C53C23×D411yescharacteristic
839C2×D53—21no—
840C2×D53—21no—
841C2×D53—21no—
842C2×D53—41no—
843C2×D53—41no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—84no—
849C4×C53—21no—
850C4×C53—21no—
851C4×C53—21no—
852C4×C53—21no—
853C4×C53—41no—
854C4×C53—41no—
855C4×C53—41no—
856C4×C53—41no—
857C4×C53C2×2−1+411yescharacteristic
858C4×C53#58511yescharacteristic
859Dic53—21no—
860Dic53—21no—
861Dic53—21no—
862Dic53—21no—
863Dic53—21no—
864Dic53—41no—
865Dic53—41no—
866Dic53—41no—
867Dic53—41no—
868Dic53—41no—
869Dic53—41no—
870Dic53C2×AGL(1,ℤ/8)12yes—
871Dic53C2×AGL(1,ℤ/8)12yes—
872#3511—531no—
873D4×#41—531no—
874#3384—531no—
875#3384—531no—
876#3366—531no—
877#3366—531no—
878#3354—531no—
879#3354—531no—
880#3345—531no—
881#3345—531no—
882#3345—531no—
883#3345—531no—
884#3325—531no—
885#3325—531no—
886#3318—531no—
887#3318—531no—
888#3318—531no—
889#3318D5311yescharacteristic, complemented
890#3253—531no—
891#3253—531no—
892#3245—531no—
893#3235—531no—
894#3235—531no—
895#3227—531no—
896#3109—531no—
897#3109—531no—
898#3100—531no—
899#3077—531no—
900#3077—531no—
901C2×#476—531no—
902#2989—531no—
903C2×C53—22no—
904C2×C53—42no—
905C2×C53—41no—
906C2×C53—81no—
907C2×C53—81no—
908C2×C53—81no—
909C2×C53#348911yescharacteristic
910C2×C53C22×AGL(1,ℤ/8)11yescharacteristic
911C2×C53#358511yescharacteristic
912D53—41no—
913D53—81no—
914D53—81no—
915C22×#41—1061no—
916#556—1061no—
917#555—531no—
918#555—531no—
919#554—531no—
920#554—531no—
921#553—531no—
922#553—531no—
923#553—531no—
924#553C2×D5311yescharacteristic, complemented
925#550—531no—
926D4×Q8—531no—
927#548—1061no—
928#548—1061no—
929#548—1061no—
930#547—531no—
931#547—531no—
932#547—531no—
933#547—1061no—
934#546—1061no—
935#546—1061no—
936#546—1061no—
937D42—531no—
938D42—531no—
939D42C2×D5311yescharacteristic
940#542—1061no—
941#542—1061no—
942#537—1061no—
943#533—531no—
944#533—531no—
945#532—531no—
946#532—531no—
947#532—531no—
948#532—531no—
949#532—531no—
950#532—531no—
951C2×C4⋊Q8—531no—
952#525—1061no—
953#525—1061no—
954#525—1061no—
955#520—1061no—
956C4×#41—531no—
957C2×C4×D4—531no—
958C2×C4×D4—531no—
959C2×C4×D4—531no—
960#501—531no—
961#501—531no—
962#501—531no—
963#501—531no—
964#498—531no—
965#498—531no—
966#490—531no—
967#490—531no—
968#490—531no—
969#490C2×D5311yescharacteristic, complemented
970#486—531no—
971#486—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482—531no—
979#482C2×D5311yescharacteristic, complemented
980#481—531no—
981#481—531no—
982#481—531no—
983#481—531no—
984#481—531no—
985#481—531no—
986#481—531no—
987#481C2×D5311yescharacteristic, complemented
988#480—531no—
989#480—531no—
990#478—531no—
991#478—531no—
992#478—531no—
993#478—531no—
994#478—531no—
995#478—531no—
996#478—531no—
997#478C2×D5311yescharacteristic
998#476—531no—
999#476—531no—
1000#476—531no—
1001#476—531no—
1002#476—531no—
1003#476—531no—
1004#476—531no—
1005#476—531no—
1006#476—531no—
1007#476—531no—
1008#476—531no—
1009#476—531no—
1010#476—531no—
1011#476—531no—
1012#476—531no—
1013#476—531no—
1014#474—531no—
1015#474—531no—
1016#474—531no—
1017#474—531no—
1018#474—531no—
1019#474—531no—
1020#469—531no—
1021#469—531no—
1022#469—531no—
1023#469—531no—
1024#469—531no—
1025#469—531no—
1026#469—531no—
1027#469C2×D5311yescharacteristic, complemented
1028#466—531no—
1029#466—531no—
1030#466—531no—
1031#466C2×D5311yescharacteristic, complemented
1032#459—531no—
1033#459—531no—
1034#459—531no—
1035#459—531no—
1036#459—531no—
1037#459—531no—
1038#459—531no—
1039#459—531no—
1040#459—531no—
1041#459C2×D5311yescharacteristic, complemented
1042#447—531no—
1043#447—531no—
1044#447—531no—
1045#447—531no—
1046#447C2×D5311yescharacteristic
1047#447C2×D5311yescharacteristic
1048#446—531no—
1049#446—531no—
1050#442—531no—
1051#442—531no—
1052#442—531no—
1053#442—531no—
1054#442—531no—
1055#442—531no—
1056#442—531no—
1057#442C2×D5311yescharacteristic
1058C4×D8—531no—
1059C4×D8—531no—
1060C4×D8—531no—
1061C4×D8—531no—
1062#436—531no—
1063#436—531no—
1064#435—531no—
1065#435—531no—
1066#435—531no—
1067#435C2×D5311yescharacteristic, complemented
1068#432—531no—
1069#432—531no—
1070#431—531no—
1071#428—531no—
1072#428—531no—
1073#428—531no—
1074#428—531no—
1075C2×#106—531no—
1076C2×#106—531no—
1077#423—531no—
1078#423—531no—
1079C2×C4⋊C8—531no—
1080#418—531no—
1081#418—531no—
1082#418—531no—
1083#418C2×D5311yescharacteristic
1084C2×#102—531no—
1085C2×#102C2×D5311yescharacteristic
1086C53#6211011yescharacteristic, complemented, Sylow
1087C2×#41—531no—
1088C2×#41—1061no—
1089C2×#41—1061no—
1090C2×#41—1061no—
1091C2×#41—1061no—
1092C2×#41—1061no—
1093C2×#41—1061no—
1094C2×#41—1061no—
1095C2×#41—1061no—
1096C2×#41—1061no—
1097C2×#41—1061no—
1098C2×#41—2128no—
1099C22×Q8—1061no—
1100C22×Q8—1061no—
1101C22×D4—21no—
1102C22×D4—531no—
1103C22×D4—1061no—
1104C22×D4—1061no—
1105C22×D4C22×D5311yescharacteristic
1106C22×D4C22×D5311yescharacteristic
1107C23×C4—1061no—
1108C23×C4—1061no—
1109C23×C4—1061no—
1110C2×D8—531no—
1111C2×D8—531no—
1112C2×D8—531no—
1113C2×D8—531no—
1114C2×D8—531no—
1115C2×D8C22×D5311yescharacteristic
1116C2×D8C22×D5311yescharacteristic
1117C2×D8C22×D5311yescharacteristic
1118C2×M16—531no—
1119C2×M16—531no—
1120C2×M16—531no—
1121C2×M16C22×D5311yescharacteristic
1122C22×C8—531no—
1123C22×C8C22×D5311yescharacteristic
1124C4⋊Q8—531no—
1125C4⋊Q8—531no—
1126C4⋊Q8—531no—
1127C4⋊Q8—531no—
1128C4⋊Q8—531no—
1129C4⋊Q8—531no—
1130C4⋊Q8—531no—
1131C4⋊Q8—531no—
1132C4⋊Q8—1061no—
1133C4⋊Q8—1061no—
1134#127—531no—
1135#127—531no—
1136#127—531no—
1137#127C22×D5311yescharacteristic
1138#126—21no—
1139#126—1061no—
1140#126—1061no—
1141#126—1061no—
1142#125—531no—
1143#125—531no—
1144#125—531no—
1145#125C22×D5311yescharacteristic
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#123—21no—
1157#123—1061no—
1158#123—1061no—
1159#123—1061no—
1160#123—1061no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8—1061no—
1168C22⋊Q8—1061no—
1169C22⋊Q8—1061no—
1170C22⋊Q8—1061no—
1171C22⋊Q8—1061no—
1172C22⋊Q8—1061no—
1173C22⋊Q8—1061no—
1174C22⋊Q8—1061no—
1175C22⋊Q8—1061no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8—1061no—
1182#121—21no—
1183#121—21no—
1184#121—531no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—1061no—
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#121C22×D5311yescharacteristic
1209#121C22×D5311yescharacteristic
1210#121C22×D5311yescharacteristic
1211#121C22×D5311yescharacteristic
1212#120—21no—
1213#120—21no—
1214#120—1061no—
1215#120—1061no—
1216#120—1061no—
1217#120—1061no—
1218C4×Q8—531no—
1219C4×Q8—531no—
1220C4×Q8—1061no—
1221C4×Q8—1061no—
1222C4×Q8—1061no—
1223C4×Q8—1061no—
1224C4×D4—21no—
1225C4×D4—531no—
1226C4×D4—531no—
1227C4×D4—531no—
1228C4×D4—531no—
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×D4C22×D5311yescharacteristic
1260C4×D4C22×D5311yescharacteristic
1261C4×D4C22×D5311yescharacteristic
1262#117—531no—
1263#117—531no—
1264#117—531no—
1265#117—531no—
1266#117—531no—
1267#117—531no—
1268#117—1061no—
1269#117—1061no—
1270#117C22×D5311yescharacteristic
1271C2×C4⋊C4—531no—
1272C2×C4⋊C4—531no—
1273C2×C4⋊C4—531no—
1274C2×C4⋊C4—531no—
1275C2×C4⋊C4—1061no—
1276C2×C4⋊C4—1061no—
1277C2×C4⋊C4—1061no—
1278C2×C4⋊C4C22×D5311yescharacteristic
1279C2×C22⋊C4—1061no—
1280C2×C22⋊C4—1061no—
1281C2×C22⋊C4—1061no—
1282C2×C42—531no—
1283C2×C42—531no—
1284C2×C42—531no—
1285#107—531no—
1286#107—531no—
1287#107—531no—
1288#107—531no—
1289#107—531no—
1290#107—531no—
1291#107—531no—
1292#107C22×D5311yescharacteristic
1293#106—531no—
1294#106—531no—
1295#106—531no—
1296#106—531no—
1297#106—531no—
1298#106—531no—
1299#106—531no—
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106—531no—
1305#106—531no—
1306#106—531no—
1307#106C22×D5311yescharacteristic
1308#106C22×D5311yescharacteristic
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8—531no—
1312C4⋊C8—531no—
1313C4⋊C8—531no—
1314C4⋊C8—531no—
1315C4⋊C8—531no—
1316C4⋊C8—531no—
1317C4⋊C8—531no—
1318C4⋊C8C22×D5311yescharacteristic
1319#102—531no—
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#102—531no—
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344#102C22×D5311yescharacteristic
1345#102C22×D5311yescharacteristic
1346#102C22×D5311yescharacteristic
1347#102C22×D5311yescharacteristic
1348#102C22×D5311yescharacteristic
1349#102C22×D5311yescharacteristic
1350#102C22×D5311yescharacteristic
1351C22⋊C8—531no—
1352C22⋊C8—531no—
1353C22⋊C8—531no—
1354C22⋊C8—531no—
1355C22⋊C8C22×D5311yescharacteristic
1356C22⋊C8C22×D5311yescharacteristic
1357#97—531no—
1358#97—531no—
1359#97—531no—
1360#97C22×D5311yescharacteristic
1361C4×C8—531no—
1362C4×C8—531no—
1363C24—21no—
1364C24—21no—
1365C24—1061no—
1366#41—1064no—
1367#41—4242no—
1368#41—4242no—
1369#41—2124no—
1370#41—2124no—
1371#41—2124no—
1372#41—2124no—
1373#41—2124no—
1374#41—2124no—
1375#41—2124no—
1376#41—2124no—
1377C2×Q8—531no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—1061no—
1381C2×Q8—1061no—
1382C2×Q8—1061no—
1383C2×Q8—1061no—
1384C2×Q8—1061no—
1385C2×Q8—1061no—
1386C2×Q8—4242no—
1387C2×Q8—2124no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—44no—
1401C2×D4—531no—
1402C2×D4—531no—
1403C2×D4—531no—
1404C2×D4—531no—
1405C2×D4—1061no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1062no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—1061no—
1421C2×D4—2121no—
1422C2×D4—2124no—
1423C2×D4—2124no—
1424C2×D4D4×D5311yescharacteristic
1425C2×D4C23×D5311yescharacteristic
1426C2×D4C23×D5311yescharacteristic
1427C2×D4C23×D5311yescharacteristic
1428C2×D4C23×D5311yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—531no—
1433C22×C4—531no—
1434C22×C4—531no—
1435C22×C4—531no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4—1061no—
1445C22×C4—1061no—
1446C22×C4—1061no—
1447C22×C4—1061no—
1448C22×C4—1061no—
1449C22×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—2124no—
1458C22×C4—2124no—
1459C22×C4—2124no—
1460C22×C4C23×D5311yescharacteristic
1461C22×C4C23×D5311yescharacteristic
1462D8—22no—
1463D8—41no—
1464D8—41no—
1465D8—1062no—
1466D8—2121no—
1467D8—2121no—
1468D8—2121no—
1469D8—2121no—
1470M16—41no—
1471M16—2121no—
1472M16—2121no—
1473M16—2121no—
1474C2×C8—41no—
1475C2×C8—531no—
1476C2×C8—531no—
1477C2×C8—531no—
1478C2×C8—531no—
1479C2×C8—2121no—
1480C2×C8C23×D5311yescharacteristic
1481C2×C8C23×D5311yescharacteristic
1482C2×C8C23×D5311yescharacteristic
1483C2×C8C23×D5311yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—531no—
1491C4⋊C4—531no—
1492C4⋊C4—531no—
1493C4⋊C4—531no—
1494C4⋊C4—531no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
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⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4D4×D5311yescharacteristic
1517C4⋊C4C23×D5311yescharacteristic
1518C4⋊C4C23×D5311yescharacteristic
1519C4⋊C4C23×D5311yescharacteristic
1520C4⋊C4C23×D5311yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—531no—
1529C22⋊C4—531no—
1530C22⋊C4—531no—
1531C22⋊C4—531no—
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⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4D4×D5311yescharacteristic
1558C22⋊C4D4×D5311yescharacteristic
1559C42—21no—
1560C42—531no—
1561C42—531no—
1562C42—531no—
1563C42—531no—
1564C42—531no—
1565C42—531no—
1566C42—531no—
1567C42—531no—
1568C42—531no—
1569C42—1061no—
1570C42—1061no—
1571C42—1061no—
1572C42C23×D5311yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—42no—
1581C23—81no—
1582C23—81no—
1583C23—531no—
1584C23—1061no—
1585C23—1061no—
1586C23—4241no—
1587C23—2122no—
1588C23—2122no—
1589C23C2×D4×D5311yescharacteristic
1590C23C2×D4×D5311yescharacteristic
1591Q8—1062no—
1592Q8—4241no—
1593Q8—4241no—
1594Q8—2122no—
1595Q8—2122no—
1596Q8—2122no—
1597Q8—2122no—
1598Q8—2122no—
1599Q8—2122no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—1062no—
1617D4—1062no—
1618D4—1061no—
1619D4—1061no—
1620D4—1061no—
1621D4—1061no—
1622D4—4241no—
1623D4—4241no—
1624D4—4241no—
1625D4—4241no—
1626D4—4241no—
1627D4—2122no—
1628D4—2122no—
1629D4—2122no—
1630D4—2122no—
1631D4—2122no—
1632D4—2122no—
1633D4—2122no—
1634D4—2122no—
1635D4—2122no—
1636D4—2122no—
1637D4#1313326412yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—534no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—531no—
1654C2×C4—531no—
1655C2×C4—531no—
1656C2×C4—531no—
1657C2×C4—1062no—
1658C2×C4—1062no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—1061no—
1662C2×C4—1061no—
1663C2×C4—1061no—
1664C2×C4—1061no—
1665C2×C4—1061no—
1666C2×C4—1061no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—2121no—
1672C2×C4—2122no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4—2122no—
1679C2×C4—2122no—
1680C2×C4—2122no—
1681C2×C4—2122no—
1682C2×C4—2121no—
1683C2×C4—2121no—
1684C2×C4—2122no—
1685C2×C4—2122no—
1686C2×C4—2122no—
1687C2×C4—2122no—
1688C2×C4C2×D4×D5311yescharacteristic
1689C2×C4C2×D4×D5311yescharacteristic
1690C2×C4C2×D4×D5311yescharacteristic
1691C2×C4C2×D4×D5311yescharacteristic
1692C2×C4C24×D5311yescharacteristic
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C8—21no—
1697C8—1061no—
1698C8—1061no—
1699C8—1061no—
1700C8—1061no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—22no—
1705C22—21no—
1706C22—21no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—84no—
1719C22—84no—
1720C22—1061no—
1721C22—1061no—
1722C22—1061no—
1723C22—4244no—
1724C22—2121no—
1725C22—2121no—
1726C22—2121no—
1727C22—2121no—
1728C22—2121no—
1729C22—2121no—
1730C22AGL(1,ℤ/8)×D5312yes—
1731C22C22×D4×D5311yescharacteristic
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—532no—
1741C4—532no—
1742C4—1061no—
1743C4—1061no—
1744C4—1061no—
1745C4—1061no—
1746C4—1061no—
1747C4—2121no—
1748C4—2121no—
1749C4—2121no—
1750C4—2121no—
1751C4—2121no—
1752C4—2121no—
1753C4C2×#1313326411yescharacteristic
1754C4#1681145811yescharacteristic
1755C2—22no—
1756C2—41no—
1757C2—42no—
1758C2—81no—
1759C2—81no—
1760C2—81no—
1761C2—4241no—
1762C2—4241no—
1763C2—2121no—
1764C2#2028838611yescharacteristic
1765C2C2×AGL(1,ℤ/8)×D5311yescharacteristic
1766C2#2028949011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3318C2
socleC22×C53C23×D4
hypercenter#3318D53
hypocenterC53#62110
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #20288617C2semidirect
2. D4×#11719947C2semidirect
3. #20287617C2semidirect
4. #20287615C2semidirect
5. #20287419C2semidirect
6. #20287417C2semidirect
7. #20287308C2semidirect
8. #20287305C2semidirect
9. #20287191C2semidirect
10. #20287187C2semidirect
11. #20287183C2semidirect
12. #20287179C2semidirect
13. #20286953C2semidirect
14. #20286950C2semidirect
15. #20286860C2semidirect
16. #20286856C2semidirect
17. #20286852C2semidirect
18. #20286094C2semidirect
19. #20286092C2semidirect
20. #20286021C2semidirect
21. #20285910C2semidirect
22. #20285908C2semidirect
23. #20285841C2semidirect
24. #20284804C2semidirect
25. #20284801C2semidirect
26. #20284710C2semidirect
27. #20284510C2semidirect
28. #20284509C2semidirect
29. C2×#16810911C2semidirect
30. #20283827C2semidirect
31. C53×#3318C2semidirect
34. #16811337C22semidirect
35. #16811336C22semidirect
36. #16811332C22semidirect
37. #16811329C22semidirect
38. #16811325C22semidirect
39. #16811321C22semidirect
40. #16811319C22semidirect
58. #16811179C22semidirect
59. #16811176C22semidirect
61. #16811170C22semidirect
64. #16811168C22semidirect
65. #16811168C22semidirect
66. C2×#13133216C22semidirect
75. #16811033C22semidirect
76. #16811032C22semidirect
77. #16811031C22semidirect
78. #16811030C22semidirect
79. #16811020C22semidirect
80. #16811020C22semidirect
81. #16810987C22semidirect
82. #16810986C22semidirect
83. #16810986C22semidirect
84. #16810968C22semidirect
85. #16810968C22semidirect
86. #16810948C22semidirect
87. #16810947C22semidirect
88. #16810946C22semidirect
89. #16810946C22semidirect
90. #16810945C22semidirect
91. #16810945C22semidirect
92. #16810944C22semidirect
93. #16810943C22semidirect
94. #16810942C22semidirect
95. #16810942C22semidirect
96. #16810941C22semidirect
97. #16810940C22semidirect
98. #16810939C22semidirect
99. #16810939C22semidirect
100. #16810937C22semidirect
101. #16810934C22semidirect
103. #16810925C22semidirect
104. #16810924C22semidirect
107. #16810921C22semidirect
108. #16810920C22semidirect
109. #16810914C22semidirect
110. #16810913C22semidirect
111. #16810912C22semidirect
112. #16810912C22semidirect
113. #16810912C22semidirect
118. #16810911C22semidirect
119. #16810911C22semidirect
120. #16810911C22semidirect
121. #16810911C22semidirect
122. #16810911C22semidirect
123. #16810911C22semidirect
124. #16810911C22semidirect
125. #16810902C22semidirect
126. #16810902C22semidirect
128. #16810901C22semidirect
129. #16810901C22semidirect
130. #16810901C22semidirect
131. #16810876C22semidirect
132. #16810875C22semidirect
133. #16810875C22semidirect
134. #16810874C22semidirect
135. #16810874C22semidirect
136. #16810873C22semidirect
137. #16810873C22semidirect
138. #16810859C22semidirect
139. #16810857C22semidirect
140. #16810857C22semidirect
141. #16810817C22semidirect
142. #16810817C22semidirect
143. #16810817C22semidirect
145. #16810816C22semidirect
146. #16810816C22semidirect
147. #16810816C22semidirect
148. #16810816C22semidirect
149. #16810815C22semidirect
154. #16810752C22semidirect
155. #16810751C22semidirect
156. #16810736C22semidirect
158. #16810735C22semidirect
160. #16810733C22semidirect
162. #16810732C22semidirect
164. D8×Dic53C22semidirect
166. #16810703C22semidirect
167. #16810699C22semidirect
168. #16810698C22semidirect
169. #16810695C22semidirect
170. #16810694C22semidirect
171. #16810691C22semidirect
172. #16810678C22semidirect
173. #16810677C22semidirect
174. #16810673C22semidirect
175. #16810666C22semidirect
176. #16810665C22semidirect
177. #16810664C22semidirect
178. #16810662C22semidirect
179. C2×#13133149C22semidirect
180. C2×#13133148C22semidirect
181. #16810646C22semidirect
182. #16810645C22semidirect
183. C2×#13133146C22semidirect
188. C53×#553C22semidirect
190. C53×#490C22semidirect
191. C53×#482C22semidirect
192. C53×#481C22semidirect
194. C53×#469C22semidirect
195. C53×#466C22semidirect
196. C53×#459C22semidirect
200. C53×#435C22semidirect
889. #3318D53semidirect
924. #553C2×D53semidirect
969. #490C2×D53semidirect
979. #482C2×D53semidirect
987. #481C2×D53semidirect
1027. #469C2×D53semidirect
1031. #466C2×D53semidirect
1041. #459C2×D53semidirect
1067. #435C2×D53semidirect
1086. C53#62110semidirect

Maximal subgroups

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

subgroupindex
#202886172
D4×#117199472
#202876172
#202876152
#202874192
#202874172
#202873082
#202873052
#202871912
#202871872
#202871832
#202871792
#202869532
#202869502
#202868602
#202868562
#202868522
#202860942
#202860922
#202860212
#202859102
#202859082
#202858412
#202848042
#202848012
#202847102
#202845102
#202845092
C2×#168109112
#202838272
C53×#33182
#6211053