Finite Group Databasebeta

← #28276033

Subgroups — #28276033

Order 13568.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289123C211yesmaximal, characteristic, complemented
2#20288586C211yesmaximal, characteristic, complemented
3#20287758C211yesmaximal, characteristic, complemented
4#20287752C211yesmaximal, characteristic, complemented
5#20287738C211yesmaximal, characteristic, complemented
6#20287736C211yesmaximal, characteristic, complemented
7#20287727C211yesmaximal, characteristic, complemented
8#20287722C211yesmaximal, characteristic, complemented
9#20287714C211yesmaximal, characteristic, complemented
10#20287712C211yesmaximal, characteristic, complemented
11#20287532C211yesmaximal, characteristic, complemented
12#20287530C211yesmaximal, characteristic, complemented
13#20287510C211yesmaximal, characteristic, complemented
14#20287508C211yesmaximal, characteristic, complemented
15#20287385C211yesmaximal, characteristic, complemented
16#20287384C211yesmaximal, characteristic, complemented
17#20287349C211yesmaximal, characteristic, complemented
18#20287348C211yesmaximal, characteristic, complemented
19#20285813C211yesmaximal, characteristic, complemented
20#20285811C211yesmaximal, characteristic, complemented
21#20285805C211yesmaximal, characteristic, complemented
22#20285803C211yesmaximal, characteristic, complemented
23#20285654C211yesmaximal, characteristic, complemented
24#20285631C211yesmaximal, characteristic, complemented
25#20284902C211yesmaximal, characteristic, complemented
26#20284899C211yesmaximal, characteristic, complemented
27#20284894C211yesmaximal, characteristic, complemented
28#20284781C211yesmaximal, characteristic, complemented
29#20284770C211yesmaximal, characteristic, complemented
30#20283814C211yesmaximal, characteristic, complemented
31C53×#3118C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811374—21no—
34#16811356C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811356C2211yescharacteristic
37#16811356C2211yescharacteristic
38#16811356C2211yescharacteristic, complemented
39#16811355C2211yescharacteristic, complemented
40Q8×Dic106C2211yescharacteristic, complemented
41#16811353C2211yescharacteristic, complemented
42#16811345C2211yescharacteristic, complemented
43#16811342C2211yescharacteristic, complemented
44#16811340—21no—
45#16811294C2211yescharacteristic
46#16811294C2211yescharacteristic
47#16811294C2211yescharacteristic
48#16811294C2211yescharacteristic
49D4×Dic106C2211yescharacteristic, complemented
50#16811288C2211yescharacteristic, complemented
51#16811286—21no—
52#16811263—21no—
53#16811263—21no—
54#16811263—21no—
55#16811263—21no—
56#16811246C2211yescharacteristic
57#16811244C2211yescharacteristic
58#16811241—21no—
59#16811240C2211yescharacteristic
60#16811237—21no—
61#16811224—21no—
62#16811224—21no—
63#16811195—21no—
64#16811193—21no—
65#16811192C2211yescharacteristic
66#16811190C2211yescharacteristic
67#16811176C2211yescharacteristic
68#16811175C2211yescharacteristic
69#16811170—21no—
70#16811170—21no—
71#16811168C2211yescharacteristic
72C2×#13133213C2211yescharacteristic
73#16811097C2211yescharacteristic
74#16811091C2211yescharacteristic
75#16811013C2211yescharacteristic, complemented
76#16811012C2211yescharacteristic, complemented
77#16811011C2211yescharacteristic, complemented
78#16811009C2211yescharacteristic, complemented
79#16811007C2211yescharacteristic, complemented
80#16811006C2211yescharacteristic, complemented
81#16811005C2211yescharacteristic, complemented
82#16811004C2211yescharacteristic, complemented
83#16810998C2211yescharacteristic
84#16810998C2211yescharacteristic
85#16810994C2211yescharacteristic
86#16810994C2211yescharacteristic
87#16810985C2211yescharacteristic, complemented
88#16810983C2211yescharacteristic, complemented
89#16810981C2211yescharacteristic, complemented
90#16810981C2211yescharacteristic, complemented
91#16810971C2211yescharacteristic, complemented
92#16810970C2211yescharacteristic, complemented
93#16810968C2211yescharacteristic
94#16810968C2211yescharacteristic
95#16810968C2211yescharacteristic
96#16810968C2211yescharacteristic
97#16810968C2211yescharacteristic, complemented
98#16810968C2211yescharacteristic, complemented
99#16810964C2211yescharacteristic
100#16810947C2211yescharacteristic
101#16810917C2211yescharacteristic, complemented
102#16810913C2211yescharacteristic, complemented
103#16810912C2211yescharacteristic, complemented
104#16810912C2211yescharacteristic, complemented
105#16810912C2211yescharacteristic, complemented
106#16810907C2211yescharacteristic, complemented
107#16810903C2211yescharacteristic, complemented
108#16810902C2211yescharacteristic, complemented
109#16810902C2211yescharacteristic, complemented
110#16810902C2211yescharacteristic, complemented
111#16810846C2211yescharacteristic, complemented
112#16810845C2211yescharacteristic, complemented
113#16810844C2211yescharacteristic, complemented
114#16810843C2211yescharacteristic, complemented
115#16810841C2211yescharacteristic, complemented
116#16810841C2211yescharacteristic, complemented
117#16810839C2211yescharacteristic, complemented
118#16810838C2211yescharacteristic, complemented
119#16810838C2211yescharacteristic, complemented
120#16810838C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810837C2211yescharacteristic, complemented
123#16810837C2211yescharacteristic, complemented
124#16810836C2211yescharacteristic, complemented
125#16810832C2211yescharacteristic, complemented
126#16810827C2211yescharacteristic, complemented
127#16810824C2211yescharacteristic, complemented
128#16810823C2211yescharacteristic, complemented
129#16810822C2211yescharacteristic
130#16810822C2211yescharacteristic
131#16810822C2211yescharacteristic, complemented
132#16810822C2211yescharacteristic, complemented
133#16810821C2211yescharacteristic
134#16810821C2211yescharacteristic
135#16810821C2211yescharacteristic, complemented
136#16810819C2211yescharacteristic, complemented
137#16810818C2211yescharacteristic, complemented
138#16810817C2211yescharacteristic
139#16810817C2211yescharacteristic
140#16810817C2211yescharacteristic, complemented
141#16810817C2211yescharacteristic, complemented
142#16810816C2211yescharacteristic
143#16810816C2211yescharacteristic
144#16810816C2211yescharacteristic, complemented
145#16810787C2211yescharacteristic
146#16810783C2211yescharacteristic
147#16810776C2211yescharacteristic
148#16810774C2211yescharacteristic
149#16810773C2211yescharacteristic
150#16810770C2211yescharacteristic
151#16810766C2211yescharacteristic
152#16810759C2211yescharacteristic
153#16810757C2211yescharacteristic
154#16810756C2211yescharacteristic
155#16810752C2211yescharacteristic, complemented
156#16810752C2211yescharacteristic, complemented
157#16810751C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159C8×Dic106C2211yescharacteristic, complemented
160C8×Dic106C2211yescharacteristic, complemented
161#16810747C2211yescharacteristic, complemented
162#16810747C2211yescharacteristic, complemented
163#16810734C2211yescharacteristic, complemented
164#16810733C2211yescharacteristic, complemented
165#16810732C2211yescharacteristic, complemented
166#16810726C2211yescharacteristic, complemented
167#16810723C2211yescharacteristic, complemented
168#16810722C2211yescharacteristic, complemented
169#16810717C2211yescharacteristic, complemented
170#16810715C2211yescharacteristic, complemented
171#16810714C2211yescharacteristic, complemented
172#16810710C2211yescharacteristic, complemented
173#16810710C2211yescharacteristic, complemented
174#16810710C2211yescharacteristic, complemented
175C4×#11719923C2211yescharacteristic, complemented
176#16810708C2211yescharacteristic, complemented
177#16810708C2211yescharacteristic, complemented
178#16810705C2211yescharacteristic, complemented
179#16810705C2211yescharacteristic, complemented
180C4×#11719922C2211yescharacteristic, complemented
181#16810703C2211yescharacteristic, complemented
182#16810703C2211yescharacteristic, complemented
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810673C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#542C2211yescharacteristic
189C53×#518C2211yescharacteristic
190C53×#485C2211yescharacteristic
191C53×#482C2211yescharacteristic
192C53×#476C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#463C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#450C2211yescharacteristic
197C53×#447C2211yescharacteristic
198C53×#442C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719945—21no—
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945C2311yescharacteristic
208C2×#11719947—21no—
209C22×Dic106—21no—
210C2×Q8×D53—21no—
211C22×D212C2311yescharacteristic
212C22×C22⋊D53—21no—
213C22×C22⋊D53—21no—
214C2×Dic212C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719923C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719924C2311yescharacteristic
225C2×#11719924C2311yescharacteristic
226C2×D424C2311yescharacteristic
227C2×D424C2311yescharacteristic
228C2×D424C2311yescharacteristic
229C2×#11719922C2311yescharacteristic
230C2×#11719922C2311yescharacteristic
231C2×#11719922C2311yescharacteristic
232C2×#11719922C2311yescharacteristic
233C2×#11719922C2311yescharacteristic
234#13133217—21no—
235#13133217C2311yescharacteristic
236#13133216—21no—
237#13133216—21no—
238#13133216—21no—
239#13133216D411yescharacteristic
240#13133216D411yescharacteristic
241#13133216C2311yescharacteristic
242#13133216C2311yescharacteristic
243#13133216C2311yescharacteristic
244#13133216C2311yescharacteristic
245#13133215—21no—
246#13133215—21no—
247#13133215C2311yescharacteristic
248#13133214C2311yescharacteristic
249#13133214C2311yescharacteristic
250#13133213—21no—
251#13133213—21no—
252#13133213C2311yescharacteristic
253#13133213C2311yescharacteristic
254#13133213C2311yescharacteristic
255#13133213C2311yescharacteristic
256#13133213C2311yescharacteristic
257#13133213C2311yescharacteristic
258#13133213C2311yescharacteristic
259#13133212—21no—
260#13133212—21no—
261#13133212—21no—
262#13133211—21no—
263#13133210—21no—
264#13133210—21no—
265#13133210—21no—
266#13133208D411yescharacteristic
267#13133208D411yescharacteristic
268#13133207—21no—
269#13133206C2311yescharacteristic
270#13133205C2311yescharacteristic
271#13133205C2311yescharacteristic
272#13133205C2311yescharacteristic
273#13133204—21no—
274#13133204C2311yescharacteristic
275#13133204C2311yescharacteristic
276#13133204C2311yescharacteristic
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133201—21no—
287#13133200—21no—
288#13133200—21no—
289#13133200—21no—
290#13133200—21no—
291#13133200—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199—21no—
297#13133199—21no—
298#13133199—21no—
299#13133199—21no—
300#13133198—21no—
301#13133197—21no—
302#13133196—21no—
303#13133196C2311yescharacteristic
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195—21no—
308#13133194—21no—
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133194—21no—
313#13133194D411yescharacteristic
314#13133194D411yescharacteristic
315#13133194D411yescharacteristic
316#13133194D411yescharacteristic
317#13133193—21no—
318#13133192—21no—
319#13133192—21no—
320#13133191—21no—
321#13133191—21no—
322#13133191—21no—
323#13133191—21no—
324#13133191C2311yescharacteristic
325#13133190—21no—
326#13133190—21no—
327#13133190—21no—
328#13133190—21no—
329#13133190—21no—
330#13133190—21no—
331#13133190—21no—
332#13133190—21no—
333#13133189—21no—
334#13133188—21no—
335#13133188—21no—
336#13133187—21no—
337#13133187—21no—
338#13133186—21no—
339#13133186—21no—
340Q8×Dic53C2311yescharacteristic
341Q8×Dic53C2311yescharacteristic
342C4×Dic106—21no—
343C4×Dic106C2311yescharacteristic
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346C4×Dic106C2311yescharacteristic
347C4×Dic106C2311yescharacteristic
348#13133182—21no—
349#13133182—21no—
350#13133182C2311yescharacteristic
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353#13133182C2311yescharacteristic
354C4×D212—21no—
355C4×D212—21no—
356C4×D212C2311yescharacteristic
357D4×Dic53C2311yescharacteristic
358D4×Dic53C2311yescharacteristic
359#13133179C2311yescharacteristic
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362#13133179C2311yescharacteristic
363#13133179C2311yescharacteristic
364#13133179C2311yescharacteristic
365#13133179C2311yescharacteristic
366#13133179C2311yescharacteristic
367C4×C22⋊D53—21no—
368C4×C22⋊D53—21no—
369C4×C22⋊D53—21no—
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372#13133177—21no—
373#13133177—21no—
374#13133177—21no—
375#13133177—21no—
376#13133176C2311yescharacteristic
377#13133174—21no—
378#13133174—21no—
379#13133173—21no—
380#13133173—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C2×C4×Dic53C2311yescharacteristic
384C42×D53—21no—
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133140C2311yescharacteristic
402#13133140C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133128C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428C4×#88322C2311yescharacteristic
429C8×Dic53C2311yescharacteristic
430C8×Dic53C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53C2311yescharacteristic
436C2×SD16×C53C2311yescharacteristic
437C2×SD16×C53C2311yescharacteristic
438C2×D8×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#126×C53—21no—
442#124×C53—21no—
443#124×C53C2311yescharacteristic
444#123×C53—21no—
445C22⋊Q8×C53—21no—
446C22⋊Q8×C53C2311yescharacteristic
447#121×C53C2311yescharacteristic
448C4×Q8×C53C2311yescharacteristic
449C4×D4×C53—21no—
450C4×D4×C53—21no—
451C4×D4×C53C2311yescharacteristic
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456#117×C53C2311yescharacteristic
457#117×C53C2311yescharacteristic
458C2×C22⋊C4×C53—21no—
459C2×C22⋊C4×C53—21no—
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C24×C53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2411yescharacteristic
482C2×D4×C53—21no—
483C2×D4×C53—21no—
484C2×D4×C53—41no—
485C2×D4×C53—41no—
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C2×D4×C53C2411yescharacteristic
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53C2411yescharacteristic
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
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—82no—
512C2×C22⋊D53—82no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53C2×D411yescharacteristic
516C22×Dic53C2×D411yescharacteristic
517Q8×D53—82no—
518#11719947—82no—
519#11719945—41no—
520#11719945—41no—
521#11719945—82no—
522#11719945—82no—
523#11719945—82no—
524#11719945—82no—
525C2×D212—21no—
526C2×D212—21no—
527C2×D212—21no—
528C2×D212—21no—
529C2×D212—21no—
530C2×D212—41no—
531C2×D212—41no—
532C2×D212C2411yescharacteristic
533C2×D212C2411yescharacteristic
534C2×D212C2411yescharacteristic
535C2×D212C2411yescharacteristic
536C2×C4×D53—21no—
537C2×C4×D53—21no—
538C2×C4×D53—21no—
539C2×C4×D53—21no—
540C2×C4×D53—21no—
541C2×C4×D53—21no—
542C2×C4×D53—21no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×Dic106—21no—
547C2×Dic106—21no—
548C2×Dic106—21no—
549C2×Dic106—21no—
550C2×Dic106—21no—
551C2×Dic106—82no—
552C2×Dic106C2×D411yescharacteristic
553C2×Dic106C2×D411yescharacteristic
554C2×Dic106C2×D411yescharacteristic
555C2×Dic106C2×D411yescharacteristic
556C2×Dic106C2411yescharacteristic
557C2×Dic106C2411yescharacteristic
558SD16×C53—41no—
559SD16×C53—41no—
560D8×C53—41no—
561D8×C53—41no—
562C2×C8×C53C2411yescharacteristic
563C2×C8×C53C2411yescharacteristic
564C2×C8×C53C2411yescharacteristic
565C2×C8×C53C2411yescharacteristic
566C4⋊C4×C53—21no—
567C4⋊C4×C53—21no—
568C4⋊C4×C53—21no—
569C4⋊C4×C53C2×D411yescharacteristic
570C4⋊C4×C53C2×D411yescharacteristic
571C4⋊C4×C53C2411yescharacteristic
572C4⋊C4×C53C2411yescharacteristic
573C4⋊C4×C53C2411yescharacteristic
574C4⋊C4×C53C2411yescharacteristic
575C22⋊C4×C53—21no—
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53—21no—
583C22⋊C4×C53—21no—
584C22⋊C4×C53—21no—
585C22⋊C4×C53C2×D411yescharacteristic
586C22⋊C4×C53C2×D411yescharacteristic
587C42×C53—21no—
588C42×C53—21no—
589C42×C53C2411yescharacteristic
590C42×C53C2411yescharacteristic
591C22⋊Dic53—21no—
592C22⋊Dic53—21no—
593C22⋊Dic53—21no—
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53C2×D411yescharacteristic
601C22⋊Dic53C2×D411yescharacteristic
602#11719925—41no—
603#11719924—41no—
604#11719924—41no—
605#11719924—41no—
606#11719923—41no—
607#11719923—41no—
608#11719923—41no—
609#11719922—41no—
610#11719922—41no—
611#11719922—41no—
612#11719922—41no—
613#11719922—41no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
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—
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53—21no—
635C4⋊Dic53C2×D411yescharacteristic
636C4⋊Dic53C2×D411yescharacteristic
637C4⋊Dic53C2×D411yescharacteristic
638C4⋊Dic53C2×D411yescharacteristic
639C4⋊Dic53C2×D411yescharacteristic
640C4⋊Dic53C2×D411yescharacteristic
641C4⋊Dic53C2411yescharacteristic
642C4⋊Dic53C2411yescharacteristic
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53C2×D411yescharacteristic
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2411yescharacteristic
673C4×Dic53C2411yescharacteristic
674C4×Dic53C2411yescharacteristic
675C4×Dic53C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680Dic212—41no—
681D424—41no—
682D424—41no—
683D424—41no—
684#11719913—41no—
685#11719913—41no—
686#11719913—41no—
687#11719913—41no—
688C23×C53—21no—
689C23×C53—21no—
690C23×C53—21no—
691C23×C53—42no—
692C23×C53—81no—
693C23×C53—81no—
694C23×C53C22×D411yescharacteristic
695C22×D53—21no—
696C22×D53—21no—
697C22×D53—21no—
698C22×D53—21no—
699C22×D53—42no—
700C22×D53—81no—
701C22×D53—81no—
702Q8×C53—21no—
703Q8×C53—21no—
704Q8×C53—81no—
705D4×C53—21no—
706D4×C53—21no—
707D4×C53—21no—
708D4×C53—21no—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—42no—
712D4×C53—81no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—81no—
721C2×C4×C53—81no—
722C2×C4×C53—81no—
723C2×C4×C53—81no—
724C2×C4×C53—81no—
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C22×D411yescharacteristic
729C2×C4×C53C22×D411yescharacteristic
730C2×C4×C53C2511yescharacteristic
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—42no—
734C22⋊D53—42no—
735C22⋊D53—42no—
736C22⋊D53—42no—
737C22⋊D53—81no—
738C22⋊D53—81no—
739C22⋊D53—81no—
740C22⋊D53—81no—
741C22⋊D53—81no—
742C22⋊D53—81no—
743C22⋊D53—81no—
744C22⋊D53—81no—
745C22⋊D53—81no—
746C22⋊D53—81no—
747C2×Dic53—22no—
748C2×Dic53—22no—
749C2×Dic53—21no—
750C2×Dic53—21no—
751C2×Dic53—21no—
752C2×Dic53—21no—
753C2×Dic53—42no—
754C2×Dic53—81no—
755C2×Dic53C22×D411yescharacteristic
756C2×Dic53C22×D411yescharacteristic
757C2×Dic53C22×D411yescharacteristic
758C2×Dic53C22×D411yescharacteristic
759C2×Dic53C22×D411yescharacteristic
760C2×Dic53C22×D411yescharacteristic
761C2×Dic53C22×D411yescharacteristic
762C2×Dic53C22×D411yescharacteristic
763D212—21no—
764D212—21no—
765D212—21no—
766D212—21no—
767D212—21no—
768D212—21no—
769D212—21no—
770D212—21no—
771D212—42no—
772D212—81no—
773D212—81no—
774D212—81no—
775D212—81no—
776C4×D53—42no—
777C4×D53—42no—
778C4×D53—42no—
779C4×D53—42no—
780C4×D53—81no—
781C4×D53—81no—
782C4×D53—81no—
783C4×D53—81no—
784C4×D53—81no—
785C4×D53—81no—
786Dic106—22no—
787Dic106—22no—
788Dic106—22no—
789Dic106—22no—
790Dic106—21no—
791Dic106—21no—
792Dic106—21no—
793Dic106—21no—
794Dic106—42no—
795Dic106—81no—
796Dic106—81no—
797Dic106—81no—
798Dic106—81no—
799C8×C53—21no—
800C8×C53—21no—
801C8×C53—21no—
802C8×C53—21no—
803#88322—21no—
804#88322—21no—
805#88322—21no—
806#88322—21no—
807#61937—531nomaximal, Sylow
808C22×C53—21no—
809C22×C53—21no—
810C22×C53—21no—
811C22×C53—41no—
812C22×C53—41no—
813C22×C53—41no—
814C22×C53—41no—
815C22×C53—41no—
816C22×C53—41no—
817C22×C53—41no—
818C22×C53—41no—
819C22×C53—41no—
820C22×C53—162no—
821C22×C53C23×D411yescharacteristic
822C2×D53—41no—
823C2×D53—41no—
824C2×D53—41no—
825C2×D53—41no—
826C2×D53—41no—
827C2×D53—41no—
828C2×D53—41no—
829C2×D53—41no—
830C2×D53—41no—
831C2×D53—41no—
832C2×D53—41no—
833C2×D53—41no—
834C2×D53—162no—
835C4×C53—21no—
836C4×C53—21no—
837C4×C53—21no—
838C4×C53—21no—
839C4×C53—21no—
840C4×C53—41no—
841C4×C53—41no—
842C4×C53—41no—
843C4×C53—41no—
844C4×C53—41no—
845C4×C53#58511yescharacteristic
846C4×C53#58511yescharacteristic
847Dic53—21no—
848Dic53—21no—
849Dic53—21no—
850Dic53—21no—
851Dic53—21no—
852Dic53—21no—
853Dic53—41no—
854Dic53—41no—
855Dic53—41no—
856Dic53—41no—
857Dic53#57612yes—
858Dic53#57712yes—
859#3550—531no—
860#3508—531no—
861#3399—531no—
862#3399—531no—
863#3397—531no—
864#3397—531no—
865#3396—531no—
866#3396—531no—
867#3394—531no—
868#3394—531no—
869#3375—531no—
870#3375—531no—
871#3373—531no—
872#3373—531no—
873#3362—531no—
874#3362—531no—
875#3358—531no—
876#3358—531no—
877#3224—531no—
878#3224—531no—
879#3224—531no—
880#3224—531no—
881#3208—531no—
882#3205—531no—
883#3118—531no—
884#3118—531no—
885#3118—531no—
886#3118D5311yescharacteristic, complemented
887#3107—531no—
888#3106—531no—
889#2986—531no—
890C2×C53—41no—
891C2×C53—81no—
892C2×C53—81no—
893C2×C53—81no—
894C2×C53#348711yescharacteristic
895C2×C53C2×#57611yescharacteristic
896C2×C53C2×#57711yescharacteristic
897D53—81no—
898D53—81no—
899D53—81no—
900D53—81no—
901#563—1061no—
902#563—1061no—
903#559—531no—
904#559—531no—
905#559—531no—
906#559—531no—
907#559—531no—
908#559—531no—
909Q82—531no—
910Q82—531no—
911#556—531no—
912#556—531no—
913#556—1061no—
914#550—531no—
915#550—531no—
916#550—531no—
917#550—531no—
918D4×Q8—531no—
919D4×Q8—531no—
920D4×Q8—1061no—
921#546—1061no—
922#546—1061no—
923#546—1061no—
924#546—1061no—
925#542—531no—
926#542—531no—
927#542—531no—
928#542—1061no—
929#542—1061no—
930#542C2×D5311yescharacteristic
931#540—1061no—
932#540—1061no—
933#536—1061no—
934#536—1061no—
935#535—531no—
936#535—531no—
937#533—531no—
938#533—531no—
939#532—531no—
940#532—1061no—
941#532—1061no—
942C2×#127—531no—
943#518—531no—
944#518C2×D5311yescharacteristic
945C4×#41—531no—
946#496—531no—
947#496—531no—
948#496—531no—
949#496—531no—
950#495—531no—
951#495—531no—
952#495—531no—
953#495—531no—
954#493—531no—
955#493—531no—
956#492—531no—
957#492—531no—
958#489—531no—
959#489—531no—
960#489—531no—
961#489—531no—
962#486—531no—
963#486—531no—
964#486—531no—
965#486—531no—
966#486—531no—
967#486—531no—
968#486—531no—
969#486—531no—
970#485—531no—
971#485C2×D5311yescharacteristic
972#482—531no—
973#482C2×D5311yescharacteristic
974#477—531no—
975#476—531no—
976#476—531no—
977#476—531no—
978#476—531no—
979#476C2×D5311yescharacteristic, complemented
980#475—531no—
981#474—531no—
982#474—531no—
983#474—531no—
984#474—531no—
985#474C2×D5311yescharacteristic, complemented
986#464—531no—
987#464—531no—
988#464—531no—
989#464—531no—
990#463—531no—
991#463—531no—
992#463—531no—
993#463—531no—
994#463—531no—
995#463—531no—
996#463—531no—
997#463—531no—
998#463—531no—
999#463—531no—
1000#463C2×D5311yescharacteristic, complemented
1001#463C2×D5311yescharacteristic, complemented
1002#462—531no—
1003#461—531no—
1004#460—531no—
1005#460—531no—
1006#460—531no—
1007#460—531no—
1008#460—531no—
1009#460—531no—
1010#460—531no—
1011#460—531no—
1012#460—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459—531no—
1018#459—531no—
1019#459—531no—
1020#459—531no—
1021#459—531no—
1022#452—531no—
1023#452—531no—
1024#450—531no—
1025#450—531no—
1026#450—531no—
1027#450C2×D5311yescharacteristic
1028#449—531no—
1029#449—531no—
1030#447—531no—
1031#447—531no—
1032#447—531no—
1033#447C2×D5311yescharacteristic
1034#446—531no—
1035#446—531no—
1036#446—531no—
1037#446—531no—
1038C8×Q8—531no—
1039C8×Q8—531no—
1040C8×Q8—531no—
1041C8×Q8—531no—
1042#442—531no—
1043#442—531no—
1044#442—531no—
1045#442C2×D5311yescharacteristic, complemented
1046#440—531no—
1047#440—531no—
1048#440—531no—
1049#440C2×D5311yescharacteristic, complemented
1050C4×Q16—531no—
1051C4×Q16—531no—
1052C4×SD16—531no—
1053C4×SD16—531no—
1054C4×SD16—531no—
1055C4×SD16—531no—
1056C4×SD16—531no—
1057C4×SD16—531no—
1058C4×SD16—531no—
1059C4×SD16C2×D5311yescharacteristic, complemented
1060C4×D8—531no—
1061C4×D8—531no—
1062C4×D8—531no—
1063C4×D8—531no—
1064C4×D8—531no—
1065C4×D8C2×D5311yescharacteristic, complemented
1066#433—531no—
1067#433—531no—
1068#433—531no—
1069#433C2×D5311yescharacteristic
1070#431—531no—
1071#431—531no—
1072C53#6193711yescharacteristic, complemented, Sylow
1073C2×#41—531no—
1074C2×#41—1061no—
1075C2×#41—1061no—
1076C2×#41—1061no—
1077C2×#41—1061no—
1078C2×#41—1061no—
1079C22×Q8—1061no—
1080C22×Q8—1061no—
1081C22×D4—531no—
1082C22×D4—1061no—
1083C22×D4—1061no—
1084C22×D4C22×D5311yescharacteristic
1085C2×Q16—531no—
1086C2×Q16—531no—
1087C2×SD16—531no—
1088C2×SD16—531no—
1089C2×SD16—531no—
1090C2×SD16—531no—
1091C2×SD16—531no—
1092C2×SD16—531no—
1093C2×SD16—531no—
1094C2×SD16—531no—
1095C2×SD16—531no—
1096C2×SD16—531no—
1097C2×SD16C22×D5311yescharacteristic
1098C2×SD16C22×D5311yescharacteristic
1099C2×D8—531no—
1100C2×D8—531no—
1101C2×D8—531no—
1102C2×D8—531no—
1103C2×D8—531no—
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8C22×D5311yescharacteristic
1108C2×D8C22×D5311yescharacteristic
1109C4⋊Q8—531no—
1110C4⋊Q8—531no—
1111C4⋊Q8—531no—
1112C4⋊Q8—531no—
1113C4⋊Q8—531no—
1114C4⋊Q8—531no—
1115C4⋊Q8—531no—
1116C4⋊Q8—531no—
1117C4⋊Q8—1061no—
1118C4⋊Q8—1061no—
1119C4⋊Q8—1061no—
1120C4⋊Q8—1061no—
1121C4⋊Q8—1061no—
1122C4⋊Q8—1061no—
1123C4⋊Q8C22×D5311yescharacteristic
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—531no—
1129#127—531no—
1130#127—531no—
1131#127—531no—
1132#127—531no—
1133#127—1061no—
1134#127—1061no—
1135#126—21no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#126—1061no—
1140#126—1061no—
1141#126—1061no—
1142#126—1061no—
1143#125—531no—
1144#125—531no—
1145#125—1061no—
1146#124—21no—
1147#124—531no—
1148#124—531no—
1149#124—531no—
1150#124—531no—
1151#124—531no—
1152#124—531no—
1153#124—531no—
1154#124—1061no—
1155#124—1061no—
1156#124—1061no—
1157#124—1061no—
1158#124—1061no—
1159#124—1061no—
1160#124—1061no—
1161#124—1061no—
1162#124—1061no—
1163#124—1061no—
1164#124C22×D5311yescharacteristic
1165#123—21no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173#123—1061no—
1174#123—1061no—
1175#123—1061no—
1176#123—1061no—
1177#123—1061no—
1178#123—1061no—
1179#123—1061no—
1180#123—1061no—
1181C22⋊Q8—21no—
1182C22⋊Q8—531no—
1183C22⋊Q8—531no—
1184C22⋊Q8—531no—
1185C22⋊Q8—531no—
1186C22⋊Q8—531no—
1187C22⋊Q8—1061no—
1188C22⋊Q8—1061no—
1189C22⋊Q8—1061no—
1190C22⋊Q8—1061no—
1191C22⋊Q8—1061no—
1192C22⋊Q8—1061no—
1193C22⋊Q8—1061no—
1194C22⋊Q8—1061no—
1195C22⋊Q8—1061no—
1196C22⋊Q8—1061no—
1197C22⋊Q8—1061no—
1198C22⋊Q8—1061no—
1199C22⋊Q8C22×D5311yescharacteristic
1200#121—531no—
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#121—1061no—
1213#121—1061no—
1214#121—1061no—
1215#121—1061no—
1216#121—1061no—
1217#121—1061no—
1218#121C22×D5311yescharacteristic
1219#120—1061no—
1220#120—1061no—
1221#120—1061no—
1222#120—1061no—
1223C4×Q8—531no—
1224C4×Q8—531no—
1225C4×Q8—531no—
1226C4×Q8—531no—
1227C4×Q8—531no—
1228C4×Q8—531no—
1229C4×Q8—531no—
1230C4×Q8—531no—
1231C4×Q8—531no—
1232C4×Q8—531no—
1233C4×Q8—531no—
1234C4×Q8—1061no—
1235C4×Q8—1061no—
1236C4×Q8—1061no—
1237C4×Q8C22×D5311yescharacteristic
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—531no—
1241C4×D4—531no—
1242C4×D4—531no—
1243C4×D4—531no—
1244C4×D4—531no—
1245C4×D4—531no—
1246C4×D4—531no—
1247C4×D4—531no—
1248C4×D4—531no—
1249C4×D4—531no—
1250C4×D4—531no—
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×D4C22×D5311yescharacteristic
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265C4×D4C22×D5311yescharacteristic
1266C4×D4C22×D5311yescharacteristic
1267#117—531no—
1268#117—1061no—
1269#117—1061no—
1270#117—1061no—
1271#117—1061no—
1272#117C22×D5311yescharacteristic
1273#117C22×D5311yescharacteristic
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—1061no—
1277C2×C22⋊C4—1061no—
1278C2×C42—531no—
1279C2×C42—1061no—
1280#107—531no—
1281#107—531no—
1282#107C22×D5311yescharacteristic
1283#107C22×D5311yescharacteristic
1284#106—531no—
1285#106—531no—
1286#106C22×D5311yescharacteristic
1287#106C22×D5311yescharacteristic
1288C4⋊C8—531no—
1289C4⋊C8—531no—
1290C4⋊C8—531no—
1291C4⋊C8—531no—
1292C4⋊C8—531no—
1293C4⋊C8—531no—
1294C4⋊C8—531no—
1295C4⋊C8—531no—
1296C4⋊C8—531no—
1297C4⋊C8—531no—
1298C4⋊C8C22×D5311yescharacteristic
1299C4⋊C8C22×D5311yescharacteristic
1300#103—531no—
1301#103—531no—
1302#103—531no—
1303#103—531no—
1304#103—531no—
1305#103—531no—
1306#103C22×D5311yescharacteristic
1307#103C22×D5311yescharacteristic
1308#102—531no—
1309#102—531no—
1310#102—531no—
1311#102—531no—
1312#102—531no—
1313#102—531no—
1314#102—531no—
1315#102—531no—
1316#102—531no—
1317#102—531no—
1318#102—531no—
1319#102—531no—
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102C22×D5311yescharacteristic
1327#102C22×D5311yescharacteristic
1328#102C22×D5311yescharacteristic
1329#102C22×D5311yescharacteristic
1330#102C22×D5311yescharacteristic
1331#102C22×D5311yescharacteristic
1332C22⋊C8—531no—
1333C22⋊C8—531no—
1334C22⋊C8C22×D5311yescharacteristic
1335C22⋊C8C22×D5311yescharacteristic
1336#97—531no—
1337#97—531no—
1338#97—531no—
1339#97C22×D5311yescharacteristic
1340C4×C8—531no—
1341C4×C8—531no—
1342C4×C8—531no—
1343C4×C8—531no—
1344C4×C8—531no—
1345C4×C8—531no—
1346C4×C8—531no—
1347C4×C8C22×D5311yescharacteristic
1348C24—21no—
1349C24—1061no—
1350#41—4242no—
1351#41—4242no—
1352#41—4242no—
1353#41—4242no—
1354#41—4242no—
1355#41—2121no—
1356#41—2121no—
1357C2×Q8—21no—
1358C2×Q8—531no—
1359C2×Q8—531no—
1360C2×Q8—531no—
1361C2×Q8—531no—
1362C2×Q8—531no—
1363C2×Q8—531no—
1364C2×Q8—1061no—
1365C2×Q8—1061no—
1366C2×Q8—1061no—
1367C2×Q8—1061no—
1368C2×Q8—1061no—
1369C2×Q8—4242no—
1370C2×Q8—4242no—
1371C2×Q8C23×D5311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—531no—
1377C2×D4—531no—
1378C2×D4—531no—
1379C2×D4—531no—
1380C2×D4—1061no—
1381C2×D4—1061no—
1382C2×D4—1061no—
1383C2×D4—1061no—
1384C2×D4—1061no—
1385C2×D4—1061no—
1386C2×D4—1061no—
1387C2×D4—1061no—
1388C2×D4—1061no—
1389C2×D4—1061no—
1390C2×D4—1061no—
1391C2×D4—1061no—
1392C2×D4—1061no—
1393C2×D4—1061no—
1394C2×D4—1061no—
1395C2×D4—1061no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—4242no—
1402C2×D4—4242no—
1403C2×D4—2121no—
1404C2×D4—2121no—
1405C2×D4C23×D5311yescharacteristic
1406C2×D4C23×D5311yescharacteristic
1407C2×D4C23×D5311yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—531no—
1414C22×C4—531no—
1415C22×C4—1061no—
1416C22×C4—1061no—
1417C22×C4—1061no—
1418C22×C4—1061no—
1419C22×C4—1061no—
1420C22×C4—1061no—
1421C22×C4—1061no—
1422C22×C4—1061no—
1423C22×C4—1061no—
1424C22×C4—1061no—
1425C22×C4—1061no—
1426C22×C4—1061no—
1427C22×C4C23×D5311yescharacteristic
1428Q16—2121no—
1429Q16—2121no—
1430SD16—41no—
1431SD16—41no—
1432SD16—2121no—
1433SD16—2121no—
1434SD16—2121no—
1435SD16—2121no—
1436SD16—2121no—
1437SD16—2121no—
1438SD16—2121no—
1439SD16—2121no—
1440SD16—2121no—
1441SD16—2121no—
1442D8—41no—
1443D8—41no—
1444D8—2121no—
1445D8—2121no—
1446D8—2121no—
1447D8—2121no—
1448D8—2121no—
1449D8—2121no—
1450D8—2121no—
1451D8—2121no—
1452C2×C8—531no—
1453C2×C8—531no—
1454C2×C8—531no—
1455C2×C8—531no—
1456C2×C8C23×D5311yescharacteristic
1457C2×C8C23×D5311yescharacteristic
1458C2×C8C23×D5311yescharacteristic
1459C2×C8C23×D5311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—531no—
1464C4⋊C4—531no—
1465C4⋊C4—531no—
1466C4⋊C4—531no—
1467C4⋊C4—531no—
1468C4⋊C4—531no—
1469C4⋊C4—531no—
1470C4⋊C4—531no—
1471C4⋊C4—531no—
1472C4⋊C4—531no—
1473C4⋊C4—531no—
1474C4⋊C4—531no—
1475C4⋊C4—531no—
1476C4⋊C4—531no—
1477C4⋊C4—531no—
1478C4⋊C4—531no—
1479C4⋊C4—1061no—
1480C4⋊C4—1061no—
1481C4⋊C4—1061no—
1482C4⋊C4—1061no—
1483C4⋊C4—1061no—
1484C4⋊C4—1061no—
1485C4⋊C4—1061no—
1486C4⋊C4—1061no—
1487C4⋊C4—1061no—
1488C4⋊C4—1061no—
1489C4⋊C4—1061no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4D4×D5311yescharacteristic
1495C4⋊C4D4×D5311yescharacteristic
1496C4⋊C4C23×D5311yescharacteristic
1497C4⋊C4C23×D5311yescharacteristic
1498C4⋊C4C23×D5311yescharacteristic
1499C4⋊C4C23×D5311yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—531no—
1511C22⋊C4—531no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C22⋊C4—1061no—
1521C22⋊C4—1061no—
1522C22⋊C4—1061no—
1523C22⋊C4—1061no—
1524C22⋊C4—1061no—
1525C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1540C22⋊C4D4×D5311yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—531no—
1544C42—531no—
1545C42—531no—
1546C42—531no—
1547C42—531no—
1548C42—531no—
1549C42—1061no—
1550C42—1061no—
1551C42—1061no—
1552C42—1061no—
1553C42—1061no—
1554C42—1061no—
1555C42—1061no—
1556C42C23×D5311yescharacteristic
1557C42C23×D5311yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—1061no—
1565C23—1061no—
1566C23—1061no—
1567C23—1061no—
1568C23—4241no—
1569C23—4241no—
1570C23—2122no—
1571C23C2×D4×D5311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—1062no—
1576Q8—1062no—
1577Q8—1062no—
1578Q8—1062no—
1579Q8—1061no—
1580Q8—1061no—
1581Q8—1061no—
1582Q8—1061no—
1583Q8—4241no—
1584Q8—4241no—
1585Q8—4241no—
1586Q8—4241no—
1587Q8—2122no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—81no—
1596D4—1061no—
1597D4—1061no—
1598D4—1061no—
1599D4—1061no—
1600D4—1061no—
1601D4—1061no—
1602D4—1061no—
1603D4—1061no—
1604D4—4241no—
1605D4—4241no—
1606D4—4241no—
1607D4—4241no—
1608D4—4241no—
1609D4—4241no—
1610D4—4241no—
1611D4—4241no—
1612D4—4241no—
1613D4—4241no—
1614D4—4241no—
1615D4—4241no—
1616D4—4241no—
1617D4—4241no—
1618D4—2122no—
1619D4—2122no—
1620D4—2122no—
1621D4—2122no—
1622D4—2122no—
1623D4—2122no—
1624D4—2122no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—531no—
1638C2×C4—531no—
1639C2×C4—531no—
1640C2×C4—531no—
1641C2×C4—531no—
1642C2×C4—531no—
1643C2×C4—531no—
1644C2×C4—531no—
1645C2×C4—1062no—
1646C2×C4—1062no—
1647C2×C4—1061no—
1648C2×C4—1061no—
1649C2×C4—1061no—
1650C2×C4—1061no—
1651C2×C4—4241no—
1652C2×C4—4241no—
1653C2×C4—4241no—
1654C2×C4—4241no—
1655C2×C4—4241no—
1656C2×C4—4241no—
1657C2×C4—4241no—
1658C2×C4—2122no—
1659C2×C4—2122no—
1660C2×C4—2122no—
1661C2×C4—2122no—
1662C2×C4—2122no—
1663C2×C4C2×D4×D5311yescharacteristic
1664C2×C4C2×D4×D5311yescharacteristic
1665C2×C4C2×D4×D5311yescharacteristic
1666C2×C4C2×D4×D5311yescharacteristic
1667C2×C4C2×D4×D5311yescharacteristic
1668C2×C4C24×D5311yescharacteristic
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—21no—
1673C8—1061no—
1674C8—1061no—
1675C8—1061no—
1676C8—1061no—
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—162no—
1690C22—8482no—
1691C22—2121no—
1692C22—2121no—
1693C22—2121no—
1694C22—2121no—
1695C22—2121no—
1696C22—2121no—
1697C22—2121no—
1698C22—2121no—
1699C22—2121no—
1700C22—2121no—
1701C22—2121no—
1702C22—2121no—
1703C22C22×D4×D5311yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—532no—
1715C4—532no—
1716C4—1061no—
1717C4—1061no—
1718C4—1061no—
1719C4—1061no—
1720C4—1061no—
1721C4—1061no—
1722C4—2121no—
1723C4—2121no—
1724C4—2121no—
1725C4—2121no—
1726C4#1681145911yescharacteristic
1727C4#1681145911yescharacteristic
1728C2—41no—
1729C2—81no—
1730C2—81no—
1731C2—81no—
1732C2—4241no—
1733C2—4241no—
1734C2—4241no—
1735C2—4241no—
1736C2#2028836911yescharacteristic
1737C2#576×D5311yescharacteristic
1738C2#577×D5311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3118C2
socleC22×C53C23×D4
hypercenter#3118D53
hypocenterC53#61937
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #20289123C2semidirect
2. #20288586C2semidirect
3. #20287758C2semidirect
4. #20287752C2semidirect
5. #20287738C2semidirect
6. #20287736C2semidirect
7. #20287727C2semidirect
8. #20287722C2semidirect
9. #20287714C2semidirect
10. #20287712C2semidirect
11. #20287532C2semidirect
12. #20287530C2semidirect
13. #20287510C2semidirect
14. #20287508C2semidirect
15. #20287385C2semidirect
16. #20287384C2semidirect
17. #20287349C2semidirect
18. #20287348C2semidirect
19. #20285813C2semidirect
20. #20285811C2semidirect
21. #20285805C2semidirect
22. #20285803C2semidirect
23. #20285654C2semidirect
24. #20285631C2semidirect
25. #20284902C2semidirect
26. #20284899C2semidirect
27. #20284894C2semidirect
28. #20284781C2semidirect
29. #20284770C2semidirect
30. #20283814C2semidirect
31. C53×#3118C2semidirect
38. #16811356C22semidirect
39. #16811355C22semidirect
40. Q8×Dic106C22semidirect
41. #16811353C22semidirect
42. #16811345C22semidirect
43. #16811342C22semidirect
49. D4×Dic106C22semidirect
50. #16811288C22semidirect
75. #16811013C22semidirect
76. #16811012C22semidirect
77. #16811011C22semidirect
78. #16811009C22semidirect
79. #16811007C22semidirect
80. #16811006C22semidirect
81. #16811005C22semidirect
82. #16811004C22semidirect
87. #16810985C22semidirect
88. #16810983C22semidirect
89. #16810981C22semidirect
90. #16810981C22semidirect
91. #16810971C22semidirect
92. #16810970C22semidirect
97. #16810968C22semidirect
98. #16810968C22semidirect
101. #16810917C22semidirect
102. #16810913C22semidirect
103. #16810912C22semidirect
104. #16810912C22semidirect
105. #16810912C22semidirect
106. #16810907C22semidirect
107. #16810903C22semidirect
108. #16810902C22semidirect
109. #16810902C22semidirect
110. #16810902C22semidirect
111. #16810846C22semidirect
112. #16810845C22semidirect
113. #16810844C22semidirect
114. #16810843C22semidirect
115. #16810841C22semidirect
116. #16810841C22semidirect
117. #16810839C22semidirect
118. #16810838C22semidirect
119. #16810838C22semidirect
120. #16810838C22semidirect
121. #16810837C22semidirect
122. #16810837C22semidirect
123. #16810837C22semidirect
124. #16810836C22semidirect
125. #16810832C22semidirect
126. #16810827C22semidirect
127. #16810824C22semidirect
128. #16810823C22semidirect
131. #16810822C22semidirect
132. #16810822C22semidirect
135. #16810821C22semidirect
136. #16810819C22semidirect
137. #16810818C22semidirect
140. #16810817C22semidirect
141. #16810817C22semidirect
144. #16810816C22semidirect
155. #16810752C22semidirect
156. #16810752C22semidirect
157. #16810751C22semidirect
158. #16810751C22semidirect
159. C8×Dic106C22semidirect
160. C8×Dic106C22semidirect
161. #16810747C22semidirect
162. #16810747C22semidirect
163. #16810734C22semidirect
164. #16810733C22semidirect
165. #16810732C22semidirect
166. #16810726C22semidirect
167. #16810723C22semidirect
168. #16810722C22semidirect
169. #16810717C22semidirect
170. #16810715C22semidirect
171. #16810714C22semidirect
172. #16810710C22semidirect
173. #16810710C22semidirect
174. #16810710C22semidirect
175. C4×#11719923C22semidirect
176. #16810708C22semidirect
177. #16810708C22semidirect
178. #16810705C22semidirect
179. #16810705C22semidirect
180. C4×#11719922C22semidirect
181. #16810703C22semidirect
182. #16810703C22semidirect
192. C53×#476C22semidirect
193. C53×#474C22semidirect
194. C53×#463C22semidirect
195. C53×#463C22semidirect
198. C53×#442C22semidirect
199. C53×#440C22semidirect
200. C4×SD16×C53C22semidirect
201. C4×D8×C53C22semidirect
886. #3118D53semidirect
979. #476C2×D53semidirect
985. #474C2×D53semidirect
1000. #463C2×D53semidirect
1001. #463C2×D53semidirect
1045. #442C2×D53semidirect
1049. #440C2×D53semidirect
1059. C4×SD16C2×D53semidirect
1065. C4×D8C2×D53semidirect
1072. C53#61937semidirect

Maximal subgroups

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

subgroupindex
#202891232
#202885862
#202877582
#202877522
#202877382
#202877362
#202877272
#202877222
#202877142
#202877122
#202875322
#202875302
#202875102
#202875082
#202873852
#202873842
#202873492
#202873482
#202858132
#202858112
#202858052
#202858032
#202856542
#202856312
#202849022
#202848992
#202848942
#202847812
#202847702
#202838142
C53×#31182
#6193753