Finite Group Databasebeta

← #28274765

Subgroups — #28274765

Order 13568.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289184C211yesmaximal, characteristic, complemented
2#20288513C211yesmaximal, characteristic, complemented
3#20287674C211yesmaximal, characteristic, complemented
4#20287668C211yesmaximal, characteristic, complemented
5#20287637C211yesmaximal, characteristic, complemented
6#20287609C211yesmaximal, characteristic, complemented
7#20287591C211yesmaximal, characteristic, complemented
8#20287582C211yesmaximal, characteristic, complemented
9#20287581C211yesmaximal, characteristic, complemented
10#20287565C211yesmaximal, characteristic, complemented
11#20287502C211yesmaximal, characteristic, complemented
12#20287469C211yesmaximal, characteristic, complemented
13#20287465C211yesmaximal, characteristic, complemented
14#20287423C211yesmaximal, characteristic, complemented
15#20287373C211yesmaximal, characteristic, complemented
16#20287370C211yesmaximal, characteristic, complemented
17#20287370C211yesmaximal, characteristic, complemented
18#20287348C211yesmaximal, characteristic, complemented
19#20286004C211yesmaximal, characteristic, complemented
20#20285992C211yesmaximal, characteristic, complemented
21#20285970C211yesmaximal, characteristic, complemented
22#20285966C211yesmaximal, characteristic, complemented
23#20285897C211yesmaximal, characteristic, complemented
24#20285849C211yesmaximal, characteristic, complemented
25#20284958C211yesmaximal, characteristic, complemented
26#20284952C211yesmaximal, characteristic, complemented
27#20284900C211yesmaximal, characteristic, complemented
28#20284763C211yesmaximal, characteristic, complemented
29#20284710C211yesmaximal, characteristic, complemented
30#20283814C211yesmaximal, characteristic, complemented
31C53×#3118C211yesmaximal, characteristic, complemented
32#16811370—21no—
33#16811367—21no—
34#16811358C2211yescharacteristic, complemented
35#16811355C2211yescharacteristic, complemented
36#16811355C2211yescharacteristic, complemented
37#16811349C2211yescharacteristic, complemented
38#16811334C2211yescharacteristic, complemented
39#16811332—21no—
40#16811332—21no—
41#16811332C2211yescharacteristic
42#16811332C2211yescharacteristic
43#16811332C2211yescharacteristic
44#16811332C2211yescharacteristic
45#16811332C2211yescharacteristic, complemented
46#16811330—21no—
47#16811330C2211yescharacteristic
48#16811330C2211yescharacteristic
49#16811294C2211yescharacteristic, complemented
50D4×Dic106—21no—
51D4×Dic106C2211yescharacteristic
52D4×Dic106C2211yescharacteristic
53#16811288C2211yescharacteristic, complemented
54#16811281—21no—
55#16811271—21no—
56#16811251C2211yescharacteristic
57#16811251C2211yescharacteristic
58#16811249—21no—
59#16811249—21no—
60#16811246C2211yescharacteristic
61#16811239—21no—
62#16811228C2211yescharacteristic
63#16811226C2211yescharacteristic
64#16811222—21no—
65#16811214—21no—
66#16811196—21no—
67#16811176C2211yescharacteristic
68#16811176C2211yescharacteristic
69#16811168C2211yescharacteristic
70#16811159C2211yescharacteristic
71C2×#13133194—21no—
72C2×#13133194—21no—
73#16811098C2211yescharacteristic
74C2×D4×Dic53C2211yescharacteristic
75#16811032C2211yescharacteristic, complemented
76#16811031C2211yescharacteristic, complemented
77#16811030C2211yescharacteristic, complemented
78#16811029C2211yescharacteristic, complemented
79#16811027C2211yescharacteristic, complemented
80#16811027C2211yescharacteristic, complemented
81#16811026C2211yescharacteristic, complemented
82#16811025C2211yescharacteristic, complemented
83#16811024C2211yescharacteristic, complemented
84#16811023C2211yescharacteristic, complemented
85#16811023C2211yescharacteristic, complemented
86#16811020C2211yescharacteristic, complemented
87#16810988C2211yescharacteristic, complemented
88#16810986C2211yescharacteristic, complemented
89#16810984C2211yescharacteristic, complemented
90#16810982C2211yescharacteristic, complemented
91#16810979C2211yescharacteristic, complemented
92#16810979C2211yescharacteristic, complemented
93#16810979C2211yescharacteristic, complemented
94#16810977C2211yescharacteristic, complemented
95#16810970C2211yescharacteristic, complemented
96#16810968C2211yescharacteristic, complemented
97#16810968C2211yescharacteristic, complemented
98#16810968C2211yescharacteristic, complemented
99#16810961C2211yescharacteristic
100#16810956C2211yescharacteristic
101#16810948C2211yescharacteristic
102#16810948C2211yescharacteristic
103#16810947C2211yescharacteristic
104#16810947C2211yescharacteristic
105#16810944C2211yescharacteristic
106#16810942C2211yescharacteristic
107#16810937C2211yescharacteristic
108#16810934C2211yescharacteristic
109#16810932C2211yescharacteristic, complemented
110#16810930C2211yescharacteristic, complemented
111#16810926C2211yescharacteristic, complemented
112#16810925C2211yescharacteristic
113#16810925C2211yescharacteristic
114#16810925C2211yescharacteristic
115#16810925C2211yescharacteristic, complemented
116#16810925C2211yescharacteristic, complemented
117#16810924C2211yescharacteristic, complemented
118#16810924C2211yescharacteristic, complemented
119#16810923C2211yescharacteristic
120#16810923C2211yescharacteristic
121#16810923C2211yescharacteristic, complemented
122#16810922C2211yescharacteristic, complemented
123#16810922C2211yescharacteristic, complemented
124#16810922C2211yescharacteristic, complemented
125#16810921C2211yescharacteristic
126#16810921C2211yescharacteristic, complemented
127#16810918C2211yescharacteristic, complemented
128#16810916C2211yescharacteristic, complemented
129#16810916C2211yescharacteristic, complemented
130#16810914C2211yescharacteristic, complemented
131#16810912C2211yescharacteristic, complemented
132#16810911C2211yescharacteristic
133#16810911C2211yescharacteristic, complemented
134#16810906C2211yescharacteristic, complemented
135#16810904C2211yescharacteristic, complemented
136#16810903C2211yescharacteristic, complemented
137#16810902C2211yescharacteristic, complemented
138#16810902C2211yescharacteristic, complemented
139#16810902C2211yescharacteristic, complemented
140#16810901C2211yescharacteristic
141#16810901C2211yescharacteristic
142#16810901C2211yescharacteristic
143#16810840C2211yescharacteristic
144#16810840C2211yescharacteristic
145#16810840C2211yescharacteristic
146#16810840C2211yescharacteristic
147#16810818C2211yescharacteristic
148#16810818C2211yescharacteristic
149#16810816C2211yescharacteristic
150#16810816C2211yescharacteristic
151#16810816C2211yescharacteristic
152#16810816C2211yescharacteristic
153#16810757C2211yescharacteristic
154#16810757C2211yescharacteristic
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#16810735C2211yescharacteristic
164#16810733C2211yescharacteristic
165#16810733C2211yescharacteristic
166#16810732C2211yescharacteristic
167#16810732C2211yescharacteristic
168#16810724C2211yescharacteristic
169SD16×Dic53C2211yescharacteristic
170SD16×Dic53C2211yescharacteristic
171SD16×Dic53C2211yescharacteristic
172D8×Dic53C2211yescharacteristic
173D8×Dic53C2211yescharacteristic
174D8×Dic53C2211yescharacteristic
175C4×#11719922C2211yescharacteristic
176C4×#11719922C2211yescharacteristic
177#16810703C2211yescharacteristic
178#16810703C2211yescharacteristic
179#16810703C2211yescharacteristic
180#16810703C2211yescharacteristic
181#16810703C2211yescharacteristic
182#16810703C2211yescharacteristic
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810673C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#542C2211yescharacteristic
189C53×#518C2211yescharacteristic
190C53×#485C2211yescharacteristic
191C53×#482C2211yescharacteristic
192C53×#476C2211yescharacteristic
193C53×#474C2211yescharacteristic
194C53×#463C2211yescharacteristic
195C53×#463C2211yescharacteristic
196C53×#450C2211yescharacteristic
197C53×#447C2211yescharacteristic
198C53×#442C2211yescharacteristic
199C53×#440C2211yescharacteristic
200C4×SD16×C53C2211yescharacteristic
201C4×D8×C53C2211yescharacteristic
202C53×#433C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719947—21no—
205C22×Dic106—21no—
206C22×Dic106—21no—
207C2×Q8×D53—21no—
208C23×Dic53—21no—
209C2×#11719922C2311yescharacteristic
210C2×#11719922C2311yescharacteristic
211C2×#11719922C2311yescharacteristic
212C2×#11719922C2311yescharacteristic
213#13133217—21no—
214#13133217C2311yescharacteristic
215#13133217C2311yescharacteristic
216#13133216—21no—
217#13133216—21no—
218#13133216D411yescharacteristic
219#13133216D411yescharacteristic
220#13133216C2311yescharacteristic
221#13133216C2311yescharacteristic
222#13133216C2311yescharacteristic
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133214C2311yescharacteristic
227#13133213C2311yescharacteristic
228#13133213C2311yescharacteristic
229#13133212—21no—
230#13133212—21no—
231#13133209—21no—
232#13133209—21no—
233#13133209C2311yescharacteristic
234#13133209C2311yescharacteristic
235#13133209C2311yescharacteristic
236#13133208—21no—
237#13133208—21no—
238#13133208D411yescharacteristic
239#13133208D411yescharacteristic
240#13133208C2311yescharacteristic
241#13133208C2311yescharacteristic
242#13133208C2311yescharacteristic
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133206C2311yescharacteristic
247#13133206C2311yescharacteristic
248#13133205—21no—
249#13133203—21no—
250#13133203—21no—
251#13133203—21no—
252#13133203—21no—
253#13133202—21no—
254#13133202—21no—
255#13133202—21no—
256#13133202—21no—
257#13133201—21no—
258#13133201—21no—
259#13133201—21no—
260#13133201—21no—
261#13133199—21no—
262#13133199—21no—
263#13133199—21no—
264#13133199—21no—
265#13133197—21no—
266#13133197—21no—
267#13133196—21no—
268#13133196—21no—
269#13133196—21no—
270#13133196—21no—
271#13133196—21no—
272#13133196—21no—
273#13133196—21no—
274#13133196—21no—
275#13133196—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#13133194—21no—
287#13133194—21no—
288#13133194—21no—
289#13133194—21no—
290#13133194—21no—
291#13133194—21no—
292#13133194—21no—
293#13133194—21no—
294#13133194—21no—
295#13133194—21no—
296#13133194—21no—
297#13133194—21no—
298#13133194—21no—
299#13133194—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194D411yescharacteristic
303#13133194D411yescharacteristic
304#13133194D411yescharacteristic
305#13133194D411yescharacteristic
306#13133193—21no—
307#13133193—21no—
308#13133193—21no—
309#13133191—21no—
310#13133191C2311yescharacteristic
311#13133191C2311yescharacteristic
312#13133190—21no—
313#13133190—21no—
314#13133190—21no—
315#13133190—21no—
316#13133189—21no—
317#13133189—21no—
318#13133188—21no—
319Q8×Dic53C2311yescharacteristic
320Q8×Dic53C2311yescharacteristic
321C4×Dic106—21no—
322C4×Dic106—21no—
323C4×Dic106—21no—
324C4×Dic106C2311yescharacteristic
325C4×Dic106C2311yescharacteristic
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328C4×D212—21no—
329C4×D212C2311yescharacteristic
330C4×D212C2311yescharacteristic
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53—21no—
334D4×Dic53—21no—
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342D4×Dic53C2311yescharacteristic
343D4×Dic53C2311yescharacteristic
344D4×Dic53C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133176C2311yescharacteristic
354#13133176C2311yescharacteristic
355#13133175—21no—
356C2×C4⋊Dic53—21no—
357C2×C4⋊Dic53—21no—
358C2×C4⋊Dic53C2311yescharacteristic
359C2×#11719919—21no—
360C2×#11719919—21no—
361C2×#11719919—21no—
362C2×#11719919—21no—
363C2×#11719919—21no—
364C4⋊C4×D53—21no—
365C2×C22⋊Dic53—21no—
366C2×C22⋊Dic53—21no—
367C2×C22⋊Dic53—21no—
368C2×C4×Dic53C2311yescharacteristic
369#13133151C2311yescharacteristic
370#13133151C2311yescharacteristic
371#13133151C2311yescharacteristic
372#13133151C2311yescharacteristic
373#13133150C2311yescharacteristic
374#13133150C2311yescharacteristic
375#13133150C2311yescharacteristic
376#13133150C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133149C2311yescharacteristic
382#13133149C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133141C2311yescharacteristic
400#13133141C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133139C2311yescharacteristic
404#13133139C2311yescharacteristic
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#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—
479C2×Q8×C53—21no—
480C2×Q8×C53C2411yescharacteristic
481C2×D4×C53—22no—
482C2×D4×C53—22no—
483C2×D4×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53C2411yescharacteristic
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C22×Dic53—21no—
501C22×Dic53—21no—
502C22×Dic53—21no—
503C22×Dic53—21no—
504C22×Dic53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—82no—
512C22×Dic53C2×D411yescharacteristic
513C22×Dic53C2×D411yescharacteristic
514Q8×D53—82no—
515#11719947—82no—
516#11719945—82no—
517C2×D212—21no—
518C2×D212—21no—
519C2×D212C2411yescharacteristic
520C2×D212C2411yescharacteristic
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×Dic106—21no—
528C2×Dic106—21no—
529C2×Dic106—21no—
530C2×Dic106—21no—
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106—82no—
536C2×Dic106—82no—
537C2×Dic106C2×D411yescharacteristic
538C2×Dic106C2×D411yescharacteristic
539C2×Dic106C2×D411yescharacteristic
540C2×Dic106C2×D411yescharacteristic
541SD16×C53—22no—
542SD16×C53—22no—
543D8×C53—22no—
544D8×C53—22no—
545C2×C8×C53C2411yescharacteristic
546C2×C8×C53C2411yescharacteristic
547C2×C8×C53C2411yescharacteristic
548C2×C8×C53C2411yescharacteristic
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53C2×D411yescharacteristic
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
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×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53C2×D411yescharacteristic
569C22⋊C4×C53C2×D411yescharacteristic
570C42×C53—21no—
571C42×C53—21no—
572C42×C53C2411yescharacteristic
573C42×C53C2411yescharacteristic
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53C2×D411yescharacteristic
586C22⋊Dic53C2×D411yescharacteristic
587#11719922—22no—
588#11719922—22no—
589#11719922—22no—
590#11719922—22no—
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—
603C4⋊Dic53—21no—
604C4⋊Dic53—21no—
605C4⋊Dic53—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53C2×D411yescharacteristic
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53C2×D411yescharacteristic
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C4×Dic53C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664C2×#88322C2411yescharacteristic
665C23×C53—24no—
666C23×C53—21no—
667C23×C53—21no—
668C23×C53—21no—
669C23×C53—81no—
670C23×C53—81no—
671C23×C53C22×D411yescharacteristic
672C22×D53—21no—
673C22×D53—21no—
674Q8×C53—21no—
675Q8×C53—21no—
676Q8×C53—81no—
677D4×C53—24no—
678D4×C53—21no—
679D4×C53—21no—
680D4×C53—21no—
681D4×C53—21no—
682D4×C53—81no—
683D4×C532−1+412yes—
684D4×C532−1+412yes—
685C2×C4×C53—21no—
686C2×C4×C53—21no—
687C2×C4×C53—21no—
688C2×C4×C53—21no—
689C2×C4×C53—21no—
690C2×C4×C53—21no—
691C2×C4×C53—21no—
692C2×C4×C53—81no—
693C2×C4×C53—81no—
694C2×C4×C53—81no—
695C2×C4×C53—81no—
696C2×C4×C53—81no—
697C2×C4×C53C22×D411yescharacteristic
698C2×C4×C53C22×D411yescharacteristic
699C2×C4×C53C22×D411yescharacteristic
700C2×C4×C53C22×D411yescharacteristic
701C2×C4×C53C22×D411yescharacteristic
702C2×C4×C53C2511yescharacteristic
703C22⋊D53—42no—
704C22⋊D53—81no—
705C22⋊D53—81no—
706C22⋊D53—81no—
707C22⋊D53—81no—
708C22⋊D53—81no—
709C2×Dic53—22no—
710C2×Dic53—21no—
711C2×Dic53—21no—
712C2×Dic53—21no—
713C2×Dic53—21no—
714C2×Dic53—21no—
715C2×Dic53—21no—
716C2×Dic53—41no—
717C2×Dic53—42no—
718C2×Dic53—42no—
719C2×Dic53—81no—
720C2×Dic53—81no—
721C2×Dic53—81no—
722C2×Dic53—81no—
723C2×Dic53—81no—
724C2×Dic53—81no—
725C2×Dic53—81no—
726C2×Dic53—81no—
727C2×Dic53—81no—
728C2×Dic53C22×D411yescharacteristic
729C2×Dic53C22×D411yescharacteristic
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736D212—21no—
737D212—21no—
738D212—21no—
739D212—21no—
740D212—81no—
741D212—81no—
742C4×D53—42no—
743C4×D53—81no—
744C4×D53—81no—
745C4×D53—81no—
746C4×D53—81no—
747C4×D53—81no—
748Dic106—22no—
749Dic106—22no—
750Dic106—41no—
751Dic106—41no—
752Dic106—42no—
753Dic106—42no—
754Dic106—81no—
755Dic106—81no—
756Dic106—81no—
757Dic106—81no—
758Dic106—81no—
759Dic106—81no—
760C8×C53—21no—
761C8×C53—21no—
762C8×C53—21no—
763C8×C53—21no—
764#88322—21no—
765#88322—21no—
766#88322—21no—
767#88322—21no—
768#61863—531nomaximal, Sylow
769C22×C53—21no—
770C22×C53—21no—
771C22×C53—22no—
772C22×C53—22no—
773C22×C53—21no—
774C22×C53—41no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—84no—
782C22×C53C23×D411yescharacteristic
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—41no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—41no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53C2×2−1+411yescharacteristic
800C4×C53C2×2−1+411yescharacteristic
801Dic53—21no—
802Dic53—21no—
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—41no—
809Dic53—41no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53#57612yes—
815#3554—531no—
816#3501—531no—
817#3389—531no—
818#3389—531no—
819#3386—531no—
820#3384—531no—
821#3381—531no—
822#3380—531no—
823#3380—531no—
824Q8×D8—531no—
825#3373—531no—
826#3370—531no—
827#3370—531no—
828#3366—531no—
829#3361—531no—
830#3361—531no—
831#3361—531no—
832#3358—531no—
833#3243—531no—
834#3243—531no—
835#3241—531no—
836#3241—531no—
837#3233—531no—
838#3228—531no—
839#3122—531no—
840#3122—531no—
841#3118—531no—
842#3118D5311yescharacteristic, complemented
843#3105—531no—
844#3100—531no—
845#2986—531no—
846C2×C53—41no—
847C2×C53—42no—
848C2×C53—42no—
849C2×C53—81no—
850C2×C53#348611yescharacteristic
851C2×C53C2×#57611yescharacteristic
852C2×C53#358411yescharacteristic
853D53—81no—
854D53—81no—
855#562—1061no—
856#562—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#557—531no—
861#554—531no—
862#554—531no—
863#554—531no—
864#554—531no—
865#554—531no—
866#554—531no—
867#554—531no—
868#554—531no—
869#554—1061no—
870#554—1061no—
871#554—1061no—
872#550—531no—
873D4×Q8—531no—
874D4×Q8—531no—
875D4×Q8—531no—
876D4×Q8—1061no—
877#548—1061no—
878#547—1061no—
879#544—531no—
880#544—531no—
881#543—1061no—
882#543—1061no—
883#542—531no—
884#542—1061no—
885#542C2×D5311yescharacteristic
886#540—531no—
887#540—531no—
888#539—1061no—
889#539—1061no—
890#536—1061no—
891#533—531no—
892#533—531no—
893#532—531no—
894#529—531no—
895C2×C22⋊Q8—1061no—
896C2×C22⋊Q8—1061no—
897#518—531no—
898#518C2×D5311yescharacteristic
899C2×C4×D4—531no—
900#501—531no—
901#501—531no—
902#501—531no—
903#501—531no—
904#500—531no—
905#500—531no—
906#500—531no—
907#499—531no—
908#499—531no—
909#499—531no—
910#499—531no—
911#498—531no—
912#490—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#488—531no—
917#488—531no—
918#488—531no—
919#488—531no—
920#486—531no—
921#486—531no—
922#486—531no—
923#486—531no—
924#485—531no—
925#485C2×D5311yescharacteristic
926#484—531no—
927#482—531no—
928#482—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482C2×D5311yescharacteristic
933#481—531no—
934#480—531no—
935#480—531no—
936#479—531no—
937#479—531no—
938#478—531no—
939#478—531no—
940#478—531no—
941#478—531no—
942#478—531no—
943#478—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#477—531no—
955#477—531no—
956#477—531no—
957#476—531no—
958#476—531no—
959#476—531no—
960#476—531no—
961#476C2×D5311yescharacteristic
962#475—531no—
963#474—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#474—531no—
971#474C2×D5311yescharacteristic
972#463—531no—
973#463—531no—
974#463—531no—
975#463—531no—
976#463C2×D5311yescharacteristic
977#463C2×D5311yescharacteristic
978#459—531no—
979#459—531no—
980#459—531no—
981#459—531no—
982#459—531no—
983#459—531no—
984#450C2×D5311yescharacteristic
985#447—531no—
986#447—531no—
987#447C2×D5311yescharacteristic
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992C8×Q8—531no—
993C8×Q8—531no—
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442—531no—
998#442—531no—
999#442—531no—
1000#442—531no—
1001#442C2×D5311yescharacteristic
1002#440—531no—
1003#440C2×D5311yescharacteristic
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16C2×D5311yescharacteristic
1008C4×D8—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012C4×D8—531no—
1013C4×D8—531no—
1014C4×D8—531no—
1015C4×D8—531no—
1016C4×D8—531no—
1017C4×D8—531no—
1018C4×D8—531no—
1019C4×D8C2×D5311yescharacteristic
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433C2×D5311yescharacteristic
1024#431—531no—
1025#431—531no—
1026C53#6186311yescharacteristic, complemented, Sylow
1027C2×#41—1061no—
1028C2×#41—1061no—
1029C22×Q8—1061no—
1030C22×Q8—1061no—
1031C22×Q8—1061no—
1032C22×D4C22×D5311yescharacteristic
1033C23×C4—1061no—
1034C2×SD16C22×D5311yescharacteristic
1035C2×SD16C22×D5311yescharacteristic
1036C2×D8—531no—
1037C2×D8—531no—
1038C2×D8—531no—
1039C2×D8—531no—
1040C2×D8C22×D5311yescharacteristic
1041C2×D8C22×D5311yescharacteristic
1042C4⋊Q8—531no—
1043C4⋊Q8—531no—
1044C4⋊Q8—531no—
1045C4⋊Q8—531no—
1046C4⋊Q8—531no—
1047C4⋊Q8—531no—
1048C4⋊Q8—531no—
1049C4⋊Q8—531no—
1050C4⋊Q8—531no—
1051C4⋊Q8—531no—
1052C4⋊Q8—1061no—
1053C4⋊Q8—1061no—
1054C4⋊Q8—1061no—
1055C4⋊Q8C22×D5311yescharacteristic
1056#127—531no—
1057#127—531no—
1058#127—531no—
1059#126—21no—
1060#126—1061no—
1061#126—1061no—
1062#125—531no—
1063#125—531no—
1064#125—531no—
1065#125—531no—
1066#125—531no—
1067#125—531no—
1068#125—531no—
1069#125—531no—
1070#125—531no—
1071#125—531no—
1072#125—531no—
1073#125—1061no—
1074#125—1061no—
1075#125—1061no—
1076#125—1061no—
1077#124—21no—
1078#124—531no—
1079#124—531no—
1080#124—1061no—
1081#124—1061no—
1082#124—1061no—
1083#124—1061no—
1084#124—1061no—
1085#124C22×D5311yescharacteristic
1086#123—21no—
1087#123—1061no—
1088#123—1061no—
1089#123—1061no—
1090#123—1061no—
1091#123—1061no—
1092#123—1061no—
1093#123—1061no—
1094#123—1061no—
1095#123—1061no—
1096#123—1061no—
1097#123—1061no—
1098#123—1061no—
1099C22⋊Q8—21no—
1100C22⋊Q8—531no—
1101C22⋊Q8—531no—
1102C22⋊Q8—531no—
1103C22⋊Q8—531no—
1104C22⋊Q8—1061no—
1105C22⋊Q8—1061no—
1106C22⋊Q8—1061no—
1107C22⋊Q8—1061no—
1108C22⋊Q8—1061no—
1109C22⋊Q8—1061no—
1110C22⋊Q8—1061no—
1111C22⋊Q8—1061no—
1112C22⋊Q8—1061no—
1113C22⋊Q8—1061no—
1114C22⋊Q8—1061no—
1115C22⋊Q8—1061no—
1116C22⋊Q8—1061no—
1117C22⋊Q8—1061no—
1118C22⋊Q8—1061no—
1119C22⋊Q8—1061no—
1120C22⋊Q8—1061no—
1121C22⋊Q8—1061no—
1122C22⋊Q8—1061no—
1123C22⋊Q8—1061no—
1124C22⋊Q8—1061no—
1125C22⋊Q8—1061no—
1126C22⋊Q8—1061no—
1127C22⋊Q8—1061no—
1128C22⋊Q8—1061no—
1129C22⋊Q8—1061no—
1130C22⋊Q8—1061no—
1131C22⋊Q8—1061no—
1132C22⋊Q8—1061no—
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⋊Q8C22×D5311yescharacteristic
1145#121—531no—
1146#121—531no—
1147#121—1061no—
1148#121—1061no—
1149#121—1061no—
1150#121—1061no—
1151#121—1061no—
1152#121—1061no—
1153#121—1061no—
1154#121—1061no—
1155#121C22×D5311yescharacteristic
1156C4×Q8—531no—
1157C4×Q8—531no—
1158C4×Q8—531no—
1159C4×Q8—531no—
1160C4×Q8—531no—
1161C4×Q8—531no—
1162C4×Q8—1061no—
1163C4×Q8—1061no—
1164C4×Q8—1061no—
1165C4×Q8C22×D5311yescharacteristic
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—531no—
1169C4×D4—531no—
1170C4×D4—531no—
1171C4×D4—531no—
1172C4×D4—531no—
1173C4×D4—531no—
1174C4×D4—531no—
1175C4×D4—531no—
1176C4×D4—531no—
1177C4×D4—531no—
1178C4×D4—531no—
1179C4×D4—531no—
1180C4×D4—531no—
1181C4×D4—531no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—1061no—
1185C4×D4—1061no—
1186C4×D4—1061no—
1187C4×D4—1061no—
1188C4×D4—1061no—
1189C4×D4—1061no—
1190C4×D4—1061no—
1191C4×D4—1061no—
1192C4×D4—1061no—
1193C4×D4C22×D5311yescharacteristic
1194C4×D4C22×D5311yescharacteristic
1195C4×D4C22×D5311yescharacteristic
1196C4×D4C22×D5311yescharacteristic
1197C4×D4C22×D5311yescharacteristic
1198#117—531no—
1199#117—531no—
1200#117—1061no—
1201#117C22×D5311yescharacteristic
1202#117C22×D5311yescharacteristic
1203C2×C4⋊C4—531no—
1204C2×C4⋊C4—1061no—
1205C2×C4⋊C4—1061no—
1206C2×C4⋊C4—1061no—
1207C2×C4⋊C4—1061no—
1208C2×C4⋊C4—1061no—
1209C2×C4⋊C4—1061no—
1210C2×C4⋊C4—1061no—
1211C2×C4⋊C4—1061no—
1212C2×C22⋊C4—21no—
1213C2×C22⋊C4—21no—
1214C2×C22⋊C4—1061no—
1215C2×C22⋊C4—1061no—
1216C2×C22⋊C4—1061no—
1217C2×C42—531no—
1218#107—531no—
1219#107—531no—
1220#107—531no—
1221#107—531no—
1222#107—531no—
1223#107—531no—
1224#107—531no—
1225#107—531no—
1226#107—531no—
1227#107—531no—
1228#107—531no—
1229#107—531no—
1230#107C22×D5311yescharacteristic
1231#107C22×D5311yescharacteristic
1232#106—531no—
1233#106—531no—
1234#106—531no—
1235#106—531no—
1236#106—531no—
1237#106—531no—
1238#106—531no—
1239#106—531no—
1240#106C22×D5311yescharacteristic
1241#106C22×D5311yescharacteristic
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103C22×D5311yescharacteristic
1259#103C22×D5311yescharacteristic
1260#102—531no—
1261#102—531no—
1262#102—531no—
1263#102—531no—
1264#102—531no—
1265#102—531no—
1266#102—531no—
1267#102—531no—
1268#102—531no—
1269#102—531no—
1270#102—531no—
1271#102—531no—
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102C22×D5311yescharacteristic
1281#102C22×D5311yescharacteristic
1282#102C22×D5311yescharacteristic
1283#102C22×D5311yescharacteristic
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8C22×D5311yescharacteristic
1289C22⋊C8C22×D5311yescharacteristic
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97C22×D5311yescharacteristic
1294C4×C8—531no—
1295C4×C8—531no—
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8C22×D5311yescharacteristic
1302C24—21no—
1303#41—4242no—
1304#41—4242no—
1305C2×Q8—21no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—1061no—
1311C2×Q8—1061no—
1312C2×Q8—1061no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8—1061no—
1317C2×Q8—1061no—
1318C2×Q8—4242no—
1319C2×Q8—4242no—
1320C2×Q8—4242no—
1321C2×Q8C23×D5311yescharacteristic
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—531no—
1327C2×D4—531no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—1061no—
1331C2×D4—1061no—
1332C2×D4—1061no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4C23×D5311yescharacteristic
1337C2×D4C23×D5311yescharacteristic
1338C2×D4C23×D5311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—531no—
1345C22×C4—531no—
1346C22×C4—1061no—
1347C22×C4—1061no—
1348C22×C4—1061no—
1349C22×C4—1061no—
1350C22×C4—1061no—
1351C22×C4—1061no—
1352C22×C4—1061no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—4242no—
1364C22×C4C23×D5311yescharacteristic
1365SD16—22no—
1366SD16—22no—
1367D8—22no—
1368D8—22no—
1369D8—1062no—
1370D8—1062no—
1371D8—1062no—
1372D8—1062no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8—531no—
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C2×C8C23×D5311yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—531no—
1385C4⋊C4—531no—
1386C4⋊C4—531no—
1387C4⋊C4—531no—
1388C4⋊C4—531no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1434C4⋊C4D4×D5311yescharacteristic
1435C4⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1475C22⋊C4D4×D5311yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—531no—
1479C42—531no—
1480C42—531no—
1481C42—531no—
1482C42—531no—
1483C42—531no—
1484C42—1061no—
1485C42—1061no—
1486C42—1061no—
1487C42C23×D5311yescharacteristic
1488C42C23×D5311yescharacteristic
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—81no—
1494C23—81no—
1495C23—1061no—
1496C23—1061no—
1497C23C2×D4×D5311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—81no—
1501Q8—1062no—
1502Q8—1062no—
1503Q8—4241no—
1504Q8—4241no—
1505Q8—4241no—
1506Q8—4241no—
1507Q8—4241no—
1508Q8—4241no—
1509Q8—2121no—
1510Q8—2121no—
1511Q8—2122no—
1512Q8—2122no—
1513D4—24no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—81no—
1519D4—1061no—
1520D4—1061no—
1521D4—1061no—
1522D4—1061no—
1523D4—4241no—
1524D4—4241no—
1525D4—4241no—
1526D4—4241no—
1527D4—4241no—
1528D4—4241no—
1529D4—4241no—
1530D4—2122no—
1531D4#1313326412yes—
1532D4#1313326412yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—531no—
1546C2×C4—531no—
1547C2×C4—531no—
1548C2×C4—531no—
1549C2×C4—531no—
1550C2×C4—531no—
1551C2×C4—531no—
1552C2×C4—531no—
1553C2×C4—1062no—
1554C2×C4—1061no—
1555C2×C4—1061no—
1556C2×C4—1061no—
1557C2×C4—1061no—
1558C2×C4—1061no—
1559C2×C4—1061no—
1560C2×C4—4241no—
1561C2×C4—4241no—
1562C2×C4—4241no—
1563C2×C4—4241no—
1564C2×C4—4241no—
1565C2×C4—4241no—
1566C2×C4—4241no—
1567C2×C4—4241no—
1568C2×C4—4241no—
1569C2×C4—4241no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—2122no—
1575C2×C4—2122no—
1576C2×C4—2122no—
1577C2×C4—2121no—
1578C2×C4C2×D4×D5311yescharacteristic
1579C2×C4C2×D4×D5311yescharacteristic
1580C2×C4C2×D4×D5311yescharacteristic
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C24×D5311yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—1061no—
1589C8—1061no—
1590C8—1061no—
1591C8—1061no—
1592C22—21no—
1593C22—22no—
1594C22—22no—
1595C22—21no—
1596C22—21no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—84no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—532no—
1623C4—1061no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—2121no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4C2×#1313326411yescharacteristic
1637C4C2×#1313326411yescharacteristic
1638C2—41no—
1639C2—42no—
1640C2—42no—
1641C2—81no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028836211yescharacteristic
1645C2#576×D5311yescharacteristic
1646C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3118C2
socleC22×C53C23×D4
hypercenter#3118D53
hypocenterC53#61863
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. #20289184C2semidirect
2. #20288513C2semidirect
3. #20287674C2semidirect
4. #20287668C2semidirect
5. #20287637C2semidirect
6. #20287609C2semidirect
7. #20287591C2semidirect
8. #20287582C2semidirect
9. #20287581C2semidirect
10. #20287565C2semidirect
11. #20287502C2semidirect
12. #20287469C2semidirect
13. #20287465C2semidirect
14. #20287423C2semidirect
15. #20287373C2semidirect
16. #20287370C2semidirect
17. #20287370C2semidirect
18. #20287348C2semidirect
19. #20286004C2semidirect
20. #20285992C2semidirect
21. #20285970C2semidirect
22. #20285966C2semidirect
23. #20285897C2semidirect
24. #20285849C2semidirect
25. #20284958C2semidirect
26. #20284952C2semidirect
27. #20284900C2semidirect
28. #20284763C2semidirect
29. #20284710C2semidirect
30. #20283814C2semidirect
31. C53×#3118C2semidirect
34. #16811358C22semidirect
35. #16811355C22semidirect
36. #16811355C22semidirect
37. #16811349C22semidirect
38. #16811334C22semidirect
45. #16811332C22semidirect
49. #16811294C22semidirect
53. #16811288C22semidirect
75. #16811032C22semidirect
76. #16811031C22semidirect
77. #16811030C22semidirect
78. #16811029C22semidirect
79. #16811027C22semidirect
80. #16811027C22semidirect
81. #16811026C22semidirect
82. #16811025C22semidirect
83. #16811024C22semidirect
84. #16811023C22semidirect
85. #16811023C22semidirect
86. #16811020C22semidirect
87. #16810988C22semidirect
88. #16810986C22semidirect
89. #16810984C22semidirect
90. #16810982C22semidirect
91. #16810979C22semidirect
92. #16810979C22semidirect
93. #16810979C22semidirect
94. #16810977C22semidirect
95. #16810970C22semidirect
96. #16810968C22semidirect
97. #16810968C22semidirect
98. #16810968C22semidirect
109. #16810932C22semidirect
110. #16810930C22semidirect
111. #16810926C22semidirect
115. #16810925C22semidirect
116. #16810925C22semidirect
117. #16810924C22semidirect
118. #16810924C22semidirect
121. #16810923C22semidirect
122. #16810922C22semidirect
123. #16810922C22semidirect
124. #16810922C22semidirect
126. #16810921C22semidirect
127. #16810918C22semidirect
128. #16810916C22semidirect
129. #16810916C22semidirect
130. #16810914C22semidirect
131. #16810912C22semidirect
133. #16810911C22semidirect
134. #16810906C22semidirect
135. #16810904C22semidirect
136. #16810903C22semidirect
137. #16810902C22semidirect
138. #16810902C22semidirect
139. #16810902C22semidirect
155. #16810752C22semidirect
156. #16810752C22semidirect
157. #16810751C22semidirect
158. #16810751C22semidirect
159. C8×Dic106C22semidirect
160. C8×Dic106C22semidirect
161. #16810747C22semidirect
162. #16810747C22semidirect
842. #3118D53semidirect
1026. C53#61863semidirect

Maximal subgroups

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

subgroupindex
#202891842
#202885132
#202876742
#202876682
#202876372
#202876092
#202875912
#202875822
#202875812
#202875652
#202875022
#202874692
#202874652
#202874232
#202873732
#202873702
#202873482
#202860042
#202859922
#202859702
#202859662
#202858972
#202858492
#202849582
#202849522
#202849002
#202847632
#202847102
#202838142
C53×#31182
#6186353