Finite Group Databasebeta

← #28281304

Subgroups — #28281304

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289354C211yesmaximal, characteristic, complemented
2#20288650C211yesmaximal, characteristic, complemented
3#20287670C211yesmaximal, characteristic, complemented
4#20287589C211yesmaximal, characteristic, complemented
5#20287488C211yesmaximal, characteristic, complemented
6#20287378C211yesmaximal, characteristic, complemented
7#20287310C211yesmaximal, characteristic, complemented
8#20287278C211yesmaximal, characteristic, complemented
9#20287271C211yesmaximal, characteristic, complemented
10#20287238C211yesmaximal, characteristic, complemented
11#20287113C211yesmaximal, characteristic, complemented
12#20286941C211yesmaximal, characteristic, complemented
13#20286925C211yesmaximal, characteristic, complemented
14#20286919C211yesmaximal, characteristic, complemented
15#20286873C211yesmaximal, characteristic, complemented
16#20286859C211yesmaximal, characteristic, complemented
17#20286545C211yesmaximal, characteristic, complemented
18#20286178C211yesmaximal, characteristic, complemented
19#20286129C211yesmaximal, characteristic, complemented
20#20286112C211yesmaximal, characteristic, complemented
21#20286014C211yesmaximal, characteristic, complemented
22#20285964C211yesmaximal, characteristic, complemented
23#20285891C211yesmaximal, characteristic, complemented
24#20284987C211yesmaximal, characteristic, complemented
25#20284903C211yesmaximal, characteristic, complemented
26#20284765C211yesmaximal, characteristic, complemented
27#20284571C211yesmaximal, characteristic, complemented
28#20284543C211yesmaximal, characteristic, complemented
29#20284511C211yesmaximal, characteristic, complemented
30#20283857C211yesmaximal, characteristic, complemented
31C53×#3343C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811370—21no—
34#16811356C2211yescharacteristic
35#16811352C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic
37#16811341—21no—
38#16811338C2211yescharacteristic, complemented
39#16811334C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811321C2211yescharacteristic
42#16811321C2211yescharacteristic, complemented
43#16811318—21no—
44#16811317C2211yescharacteristic
45#16811311—21no—
46#16811308C2211yescharacteristic
47#16811307C2211yescharacteristic, complemented
48#16811300—21no—
49#16811296—21no—
50#16811270C2211yescharacteristic
51#16811269C2211yescharacteristic
52#16811261—21no—
53#16811257C2211yescharacteristic
54#16811254C2211yescharacteristic, complemented
55#16811253C2211yescharacteristic, complemented
56#16811247C2211yescharacteristic
57#16811246C2211yescharacteristic, complemented
58#16811245C2211yescharacteristic, complemented
59#16811244—21no—
60#16811239—21no—
61#16811232—21no—
62#16811226C2211yescharacteristic
63#16811219—21no—
64#16811216—21no—
65#16811209—21no—
66#16811176C2211yescharacteristic, complemented
67#16811159C2211yescharacteristic, complemented
68#16811154C2211yescharacteristic
69#16811153C2211yescharacteristic
70#16811130—21no—
71#123×D53—21no—
72#16811104C2211yescharacteristic
73#16811095C2211yescharacteristic
74C2×#13133179C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811024C2211yescharacteristic, complemented
77#16811024C2211yescharacteristic, complemented
78#16811023C2211yescharacteristic, complemented
79#16811019C2211yescharacteristic, complemented
80#16810986C2211yescharacteristic
81#16810983C2211yescharacteristic, complemented
82#16810980C2211yescharacteristic, complemented
83#16810976C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic
86#16810966C2211yescharacteristic, complemented
87#16810965C2211yescharacteristic, complemented
88#16810964C2211yescharacteristic, complemented
89#16810962C2211yescharacteristic, complemented
90#16810955C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic
92#16810950C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic, complemented
94#16810944C2211yescharacteristic
95#16810944C2211yescharacteristic, complemented
96#16810943C2211yescharacteristic
97#16810941C2211yescharacteristic, complemented
98#16810941C2211yescharacteristic, complemented
99#16810941C2211yescharacteristic, complemented
100#16810932C2211yescharacteristic, complemented
101#16810932C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810929C2211yescharacteristic, complemented
104#16810926C2211yescharacteristic
105#16810926C2211yescharacteristic
106#16810926C2211yescharacteristic
107#16810926C2211yescharacteristic, complemented
108#16810926C2211yescharacteristic, complemented
109#16810926C2211yescharacteristic, complemented
110#16810922C2211yescharacteristic
111#16810922C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic, complemented
113#16810921C2211yescharacteristic, complemented
114#16810920C2211yescharacteristic
115#16810917C2211yescharacteristic, complemented
116#16810917C2211yescharacteristic, complemented
117#16810913C2211yescharacteristic, complemented
118#16810912C2211yescharacteristic
119#16810912C2211yescharacteristic, complemented
120#16810911C2211yescharacteristic, complemented
121#16810907C2211yescharacteristic, complemented
122#16810904C2211yescharacteristic
123#16810902C2211yescharacteristic
124#16810902C2211yescharacteristic
125#16810902C2211yescharacteristic, complemented
126#16810901C2211yescharacteristic, complemented
127#16810900C2211yescharacteristic, complemented
128#16810879C2211yescharacteristic, complemented
129#16810874C2211yescharacteristic
130#16810874C2211yescharacteristic, complemented
131#16810872C2211yescharacteristic
132#16810871C2211yescharacteristic, complemented
133#16810870C2211yescharacteristic, complemented
134#16810869C2211yescharacteristic, complemented
135#16810863C2211yescharacteristic, complemented
136#16810860C2211yescharacteristic
137#16810859C2211yescharacteristic, complemented
138#16810848C2211yescharacteristic, complemented
139#16810845C2211yescharacteristic, complemented
140#16810843C2211yescharacteristic, complemented
141#16810841C2211yescharacteristic
142#16810841C2211yescharacteristic, complemented
143#16810840C2211yescharacteristic, complemented
144#16810839C2211yescharacteristic, complemented
145#16810837C2211yescharacteristic, complemented
146#16810821C2211yescharacteristic
147#16810817C2211yescharacteristic
148#16810783C2211yescharacteristic
149#16810773C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810770C2211yescharacteristic
152#16810759C2211yescharacteristic
153#16810758C2211yescharacteristic
154#16810751C2211yescharacteristic, complemented
155#16810747C2211yescharacteristic, complemented
156#16810736C2211yescharacteristic
157#16810734C2211yescharacteristic
158#16810727C2211yescharacteristic, complemented
159C4×#11719924C2211yescharacteristic
160#16810710C2211yescharacteristic, complemented
161#16810708C2211yescharacteristic
162#16810708C2211yescharacteristic
163#16810708C2211yescharacteristic, complemented
164#16810705C2211yescharacteristic
165#16810705C2211yescharacteristic, complemented
166C4×#11719922C2211yescharacteristic, complemented
167#16810701C2211yescharacteristic, complemented
168#16810699C2211yescharacteristic
169#16810698C2211yescharacteristic, complemented
170#16810697C2211yescharacteristic
171C8×C22⋊D53C2211yescharacteristic, complemented
172#16810685C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810673C2211yescharacteristic, complemented
175#16810663C2211yescharacteristic, complemented
176#16810663C2211yescharacteristic, complemented
177#16810662C2211yescharacteristic, complemented
178#16810660C2211yescharacteristic, complemented
179#16810649C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810646C2211yescharacteristic, complemented
182#16810629C2211yescharacteristic
183#16810627C2211yescharacteristic
184#16810626C2211yescharacteristic
185#16810622C2211yescharacteristic
186#16810620C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#552C2211yescharacteristic, complemented
189C53×#547C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#483C2211yescharacteristic, complemented
193C53×#482C2211yescharacteristic
194C53×#480C2211yescharacteristic, complemented
195C53×#478C2211yescharacteristic, complemented
196C53×#477C2211yescharacteristic, complemented
197C53×#468C2211yescharacteristic
198C53×#465C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#428C2211yescharacteristic, complemented
202C2×#107×C53C2211yescharacteristic, complemented
203C2×#11719945C2311yescharacteristic
204C22×D212C2311yescharacteristic
205C2×D4×D53—21no—
206C2×D4×D53C2311yescharacteristic
207C22×C4×D53—21no—
208C2×#11719925C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719924C2311yescharacteristic
211C2×#11719924C2311yescharacteristic
212C2×D424C2311yescharacteristic
213C2×D424C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215C2×#11719917C2311yescharacteristic
216C2×#11719917C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×C8×D53C2311yescharacteristic
219#13133217—21no—
220#13133217C2311yescharacteristic
221#13133216—21no—
222#13133216—21no—
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133213C2311yescharacteristic
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212D411yescharacteristic
235#13133211—21no—
236#13133211—21no—
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210D411yescharacteristic
241#13133208—21no—
242#13133208—21no—
243#13133208—21no—
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133207D411yescharacteristic
254#13133206—21no—
255#13133206C2311yescharacteristic
256#13133205—21no—
257#13133205C2311yescharacteristic
258#13133204C2311yescharacteristic
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203D411yescharacteristic
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133201—21no—
271#13133201—21no—
272#13133201D411yescharacteristic
273#13133200—21no—
274#13133200—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133199—21no—
281#13133198—21no—
282#13133198D411yescharacteristic
283#13133197—21no—
284#13133197—21no—
285#13133197—21no—
286#13133197—21no—
287#13133197C2311yescharacteristic
288#13133196—21no—
289#13133196—21no—
290#13133196C2311yescharacteristic
291#13133195—21no—
292#13133195—21no—
293#13133195—21no—
294#13133195—21no—
295#13133194—21no—
296#13133194—21no—
297#13133194D411yescharacteristic
298#13133193—21no—
299#13133193—21no—
300#13133193—21no—
301#13133193C2311yescharacteristic
302#13133192C2311yescharacteristic
303#13133192C2311yescharacteristic
304#13133191—21no—
305#13133191—21no—
306#13133191C2311yescharacteristic
307#13133191C2311yescharacteristic
308#13133191C2311yescharacteristic
309#13133190—21no—
310#13133190—21no—
311#13133190—21no—
312#13133189—21no—
313#13133189D411yescharacteristic
314#13133188—21no—
315#13133188—21no—
316#13133188—21no—
317#13133187—21no—
318#13133185—21no—
319#13133185—21no—
320#13133185—21no—
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323C4×Dic106—21no—
324C4×Dic106—21no—
325C4×Dic106—21no—
326C4×Dic106C2311yescharacteristic
327#13133182—21no—
328#13133182C2311yescharacteristic
329#13133182C2311yescharacteristic
330C4×D212—21no—
331C4×D212C2311yescharacteristic
332C4×D212C2311yescharacteristic
333D4×Dic53—21no—
334D4×Dic53C2311yescharacteristic
335#13133179—21no—
336#13133179—21no—
337#13133179C2311yescharacteristic
338#13133179C2311yescharacteristic
339#13133179C2311yescharacteristic
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53C2311yescharacteristic
351C4×C22⋊D53C2311yescharacteristic
352#13133177—21no—
353#13133177—21no—
354#13133176—21no—
355#13133176C2311yescharacteristic
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133175—21no—
359#13133175—21no—
360#13133175—21no—
361#13133175—21no—
362#13133175C2311yescharacteristic
363#13133175C2311yescharacteristic
364#13133174C2311yescharacteristic
365#13133173—21no—
366C4⋊C4×D53—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53—21no—
369C4⋊C4×D53C2311yescharacteristic
370C2×#11719921—21no—
371C2×#11719921—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C2×C4×Dic53C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133149C2311yescharacteristic
383#13133148C2311yescharacteristic
384#13133148C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133127C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53—21no—
436C2×SD16×C53C2311yescharacteristic
437C2×M16×C53C2311yescharacteristic
438C22×C8×C53C2311yescharacteristic
439C4⋊Q8×C53C2311yescharacteristic
440#126×C53—21no—
441#125×C53—21no—
442#125×C53C2311yescharacteristic
443#123×C53—21no—
444#123×C53—21no—
445#123×C53—21no—
446C22⋊Q8×C53—21no—
447C22⋊Q8×C53C2311yescharacteristic
448C22⋊Q8×C53C2311yescharacteristic
449#121×C53C2311yescharacteristic
450#121×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454#117×C53—21no—
455#117×C53C2311yescharacteristic
456C2×C4⋊C4×C53C2311yescharacteristic
457C2×C4⋊C4×C53C2311yescharacteristic
458C2×C4⋊C4×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480#41×C53—82no—
481C2×Q8×C53—21no—
482C2×Q8×C53C2411yescharacteristic
483C2×D4×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53C2×D411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53C2411yescharacteristic
492C22×C4×C53C2411yescharacteristic
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53C2×D411yescharacteristic
501C2×C22⋊D53C2×D411yescharacteristic
502C22×Dic53—21no—
503C22×Dic53C2×D411yescharacteristic
504C22×Dic53C2×D411yescharacteristic
505D4×D53—22no—
506D4×D53—41no—
507D4×D53—82no—
508#11719945—22no—
509#11719945—41no—
510C2×D212—22no—
511C2×D212—21no—
512C2×D212—21no—
513C2×D212—21no—
514C2×D212—41no—
515C2×D212C2411yescharacteristic
516C2×D212C2411yescharacteristic
517C2×D212C2411yescharacteristic
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—82no—
530C2×C4×D53C2411yescharacteristic
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106C2×D411yescharacteristic
536C2×Dic106C2411yescharacteristic
537SD16×C53—41no—
538M16×C53—41no—
539C2×C8×C53—41no—
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53C2×D411yescharacteristic
567C22⋊C4×C53C2×D411yescharacteristic
568C42×C53—21no—
569C42×C53—21no—
570C42×C53C2411yescharacteristic
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53C2×D411yescharacteristic
578C22⋊Dic53C2×D411yescharacteristic
579C22⋊Dic53C2×D411yescharacteristic
580C22⋊Dic53C2×D411yescharacteristic
581#11719925—41no—
582#11719924—22no—
583#11719924—41no—
584#11719922—41no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2×D411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648C4×Dic53—21no—
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2×D411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C4×Dic53C2411yescharacteristic
661#11719917—41no—
662#11719917—41no—
663C2×#88322C2411yescharacteristic
664C2×#88322C2411yescharacteristic
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667D424—22no—
668D424—41no—
669#11719913—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53C22×D411yescharacteristic
674C23×C53C22×D411yescharacteristic
675C22×D53—21no—
676C22×D53—21no—
677C22×D53—21no—
678C22×D53—42no—
679C22×D53—42no—
680C22×D53—42no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53—81no—
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—81no—
688D4×C53—21no—
689D4×C53—21no—
690D4×C53—41no—
691D4×C53—42no—
692D4×C53—81no—
693C2×C4×C53—21no—
694C2×C4×C53—21no—
695C2×C4×C53—21no—
696C2×C4×C53—21no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—42no—
705C2×C4×C53—81no—
706C2×C4×C53—81no—
707C2×C4×C53—81no—
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C2511yescharacteristic
713C22⋊D53—41no—
714C22⋊D53—41no—
715C22⋊D53—42no—
716C22⋊D53—42no—
717C22⋊D53—81no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—41no—
728C2×Dic53—41no—
729C2×Dic53—81no—
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737D212—21no—
738D212—21no—
739D212—21no—
740D212—21no—
741D212—21no—
742D212—42no—
743D212—81no—
744D212—81no—
745D2122−1+412yes—
746C4×D53—21no—
747C4×D53—21no—
748C4×D53—42no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759Dic106—21no—
760Dic106—21no—
761Dic106—41no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—21no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53C23×D411yescharacteristic
785C2×D53—21no—
786C2×D53—21no—
787C2×D53—21no—
788C2×D53—22no—
789C2×D53—41no—
790C2×D53—41no—
791C2×D53—41no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—84no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53C2×2−1+411yescharacteristic
811C4×C53#58511yescharacteristic
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—21no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343D5311yescharacteristic, complemented
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—41no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53#348911yescharacteristic
859C2×C53#358411yescharacteristic
860C2×C53#358511yescharacteristic
861D53—41no—
862D53—42no—
863D53—81no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—1061no—
881#552C2×D5311yescharacteristic, complemented
882#551—1061no—
883#551—1061no—
884#547C2×D5311yescharacteristic
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501C2×D5311yescharacteristic, complemented
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484C2×D5311yescharacteristic, complemented
927#483—531no—
928#483C2×D5311yescharacteristic, complemented
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482C2×D5311yescharacteristic
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480C2×D5311yescharacteristic, complemented
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478—531no—
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477C2×D5311yescharacteristic, complemented
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468C2×D5311yescharacteristic
978#467—531no—
979#466—531no—
980#466—531no—
981#465C2×D5311yescharacteristic, complemented
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440C2×D5311yescharacteristic, complemented
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435C2×D5311yescharacteristic, complemented
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428C2×D5311yescharacteristic, complemented
1025#427—531no—
1026C2×#107C2×D5311yescharacteristic, complemented
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—21no—
1038C2×#41—531no—
1039C22×D4—531no—
1040C22×D4—531no—
1041C22×D4—1061no—
1042C23×C4—1061no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16C22×D5311yescharacteristic
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8C22×D5311yescharacteristic
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—21no—
1067#126—531no—
1068#126—531no—
1069#126—1061no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—531no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—531no—
1111#123—531no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—21no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—1061no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8C22×D5311yescharacteristic
1149C22⋊Q8C22×D5311yescharacteristic
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—1061no—
1157#121—1061no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121C22×D5311yescharacteristic
1166#121C22×D5311yescharacteristic
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—531no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—1061no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—21no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—531no—
1213#117—531no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—1061no—
1223C2×C4⋊C4—1061no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4C22×D5311yescharacteristic
1226C2×C4⋊C4C22×D5311yescharacteristic
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107C22×D5311yescharacteristic
1241#107C22×D5311yescharacteristic
1242#107C22×D5311yescharacteristic
1243#107C22×D5311yescharacteristic
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106C22×D5311yescharacteristic
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8—531no—
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102—531no—
1295#102—531no—
1296#102—531no—
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97C22×D5311yescharacteristic
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312C24—1061no—
1313C24—1061no—
1314#41—82no—
1315#41—1062no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—531no—
1328C2×D4—531no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—1062no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1062no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—4242no—
1345C2×D4—2121no—
1346C2×D4—2121no—
1347C2×D4D4×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—531no—
1354C22×C4—531no—
1355C22×C4—531no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—4242no—
1369C22×C4C23×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—41no—
1373SD16—1062no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—531no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—531no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—531no—
1508C23—1061no—
1509C23—1061no—
1510C23—1061no—
1511C23—4241no—
1512C23—4241no—
1513C23—4241no—
1514C23—2122no—
1515C23—2122no—
1516C23—2122no—
1517C23C2×D4×D5311yescharacteristic
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—42no—
1533D4—81no—
1534D4—532no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—1061no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—4241no—
1547D4—2122no—
1548D4—2121no—
1549D4—2121no—
1550D4—2122no—
1551D4—2122no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—531no—
1573C2×C4—531no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—2122no—
1593C2×C4—2121no—
1594C2×C4—2121no—
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—8482no—
1618C22—1061no—
1619C22—1062no—
1620C22—1061no—
1621C22—1061no—
1622C22—4244no—
1623C22—2121no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—1061no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C42−1+4×D5311yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—4241no—
1661C2—4241no—
1662C2—2121no—
1663C2—2122no—
1664C2#2028838911yescharacteristic
1665C2#2028948511yescharacteristic
1666C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3343C2
socleC22×C53C23×D4
hypercenter#3343D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #20289354C2semidirect
2. #20288650C2semidirect
3. #20287670C2semidirect
4. #20287589C2semidirect
5. #20287488C2semidirect
6. #20287378C2semidirect
7. #20287310C2semidirect
8. #20287278C2semidirect
9. #20287271C2semidirect
10. #20287238C2semidirect
11. #20287113C2semidirect
12. #20286941C2semidirect
13. #20286925C2semidirect
14. #20286919C2semidirect
15. #20286873C2semidirect
16. #20286859C2semidirect
17. #20286545C2semidirect
18. #20286178C2semidirect
19. #20286129C2semidirect
20. #20286112C2semidirect
21. #20286014C2semidirect
22. #20285964C2semidirect
23. #20285891C2semidirect
24. #20284987C2semidirect
25. #20284903C2semidirect
26. #20284765C2semidirect
27. #20284571C2semidirect
28. #20284543C2semidirect
29. #20284511C2semidirect
30. #20283857C2semidirect
31. C53×#3343C2semidirect
35. #16811352C22semidirect
38. #16811338C22semidirect
40. #16811329C22semidirect
42. #16811321C22semidirect
47. #16811307C22semidirect
54. #16811254C22semidirect
55. #16811253C22semidirect
57. #16811246C22semidirect
58. #16811245C22semidirect
66. #16811176C22semidirect
67. #16811159C22semidirect
75. #16811031C22semidirect
76. #16811024C22semidirect
77. #16811024C22semidirect
78. #16811023C22semidirect
79. #16811019C22semidirect
81. #16810983C22semidirect
82. #16810980C22semidirect
83. #16810976C22semidirect
84. #16810976C22semidirect
86. #16810966C22semidirect
87. #16810965C22semidirect
88. #16810964C22semidirect
89. #16810962C22semidirect
90. #16810955C22semidirect
92. #16810950C22semidirect
93. #16810948C22semidirect
95. #16810944C22semidirect
97. #16810941C22semidirect
98. #16810941C22semidirect
99. #16810941C22semidirect
100. #16810932C22semidirect
101. #16810932C22semidirect
102. #16810929C22semidirect
103. #16810929C22semidirect
107. #16810926C22semidirect
108. #16810926C22semidirect
109. #16810926C22semidirect
111. #16810922C22semidirect
112. #16810922C22semidirect
113. #16810921C22semidirect
115. #16810917C22semidirect
116. #16810917C22semidirect
117. #16810913C22semidirect
119. #16810912C22semidirect
120. #16810911C22semidirect
121. #16810907C22semidirect
125. #16810902C22semidirect
126. #16810901C22semidirect
127. #16810900C22semidirect
128. #16810879C22semidirect
130. #16810874C22semidirect
132. #16810871C22semidirect
133. #16810870C22semidirect
134. #16810869C22semidirect
135. #16810863C22semidirect
137. #16810859C22semidirect
138. #16810848C22semidirect
139. #16810845C22semidirect
140. #16810843C22semidirect
142. #16810841C22semidirect
143. #16810840C22semidirect
144. #16810839C22semidirect
145. #16810837C22semidirect
154. #16810751C22semidirect
155. #16810747C22semidirect
158. #16810727C22semidirect
160. #16810710C22semidirect
163. #16810708C22semidirect
165. #16810705C22semidirect
166. C4×#11719922C22semidirect
167. #16810701C22semidirect
169. #16810698C22semidirect
171. C8×C22⋊D53C22semidirect
172. #16810685C22semidirect
173. #16810681C22semidirect
174. #16810673C22semidirect
175. #16810663C22semidirect
176. #16810663C22semidirect
177. #16810662C22semidirect
178. #16810660C22semidirect
179. #16810649C22semidirect
180. #16810648C22semidirect
181. #16810646C22semidirect
188. C53×#552C22semidirect
190. C53×#501C22semidirect
191. C53×#484C22semidirect
192. C53×#483C22semidirect
194. C53×#480C22semidirect
195. C53×#478C22semidirect
196. C53×#477C22semidirect
198. C53×#465C22semidirect
199. C53×#440C22semidirect
200. C53×#435C22semidirect
201. C53×#428C22semidirect
202. C2×#107×C53C22semidirect
834. #3343D53semidirect
881. #552C2×D53semidirect
911. #501C2×D53semidirect
926. #484C2×D53semidirect
928. #483C2×D53semidirect
939. #480C2×D53semidirect
955. #478C2×D53semidirect
958. #477C2×D53semidirect
981. #465C2×D53semidirect
1003. #440C2×D53semidirect
1016. #435C2×D53semidirect
1024. #428C2×D53semidirect
1026. C2×#107C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893542
#202886502
#202876702
#202875892
#202874882
#202873782
#202873102
#202872782
#202872712
#202872382
#202871132
#202869412
#202869252
#202869192
#202868732
#202868592
#202865452
#202861782
#202861292
#202861122
#202860142
#202859642
#202858912
#202849872
#202849032
#202847652
#202845712
#202845432
#202845112
#202838572
C53×#33432
#6217553